Finite Group Databasebeta

← C61×#63017 #29566450

Subgroups — C61×#63017 #29566450

Order 15616.

7348 conjugacy classes of subgroups.

The subgroup lattice has 2408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3562C212yesmaximal, complemented
2C61×#3561C212yesmaximal, complemented
3C61×#3560C214yesmaximal, complemented
4C61×#3551C211yesmaximal, characteristic, complemented
5C61×#3545C212yesmaximal, complemented
6C61×#3542C212yesmaximal, complemented
7C61×#3540C211yesmaximal, characteristic, complemented
8C61×#3538C211yesmaximal, characteristic, complemented
9C61×#3535C214yesmaximal, complemented
10C61×#3534C214yesmaximal, complemented
11C61×#3533C212yesmaximal, complemented
12C61×#3532C212yesmaximal, complemented
13C61×#3521C212yesmaximal, complemented
14C61×#3520C212yesmaximal, complemented
15C61×#3514C212yesmaximal, complemented
16C61×#3513C214yesmaximal, complemented
17C61×#3513C212yesmaximal, complemented
18C61×#3505C212yesmaximal, complemented
19C61×#3500C211yesmaximal, characteristic, complemented
20C61×#3494C214yesmaximal, complemented
21C61×#3490C214yesmaximal, complemented
22C61×#3489C212yesmaximal, complemented
23C61×#3485C211yesmaximal, characteristic, complemented
24C61×#3484C211yesmaximal, characteristic, complemented
25C61×#3481C211yesmaximal, characteristic, complemented
26C61×#3475C212yesmaximal, complemented
27C2×C61×#551C212yesmaximal, complemented
28D4×#41×C61C212yesmaximal, complemented
29C2×C61×#546C212yesmaximal, complemented
30C2×2−1+4×C61C2211yescharacteristic, complemented
31C2×H(5,𝔽2)×C61C2211yescharacteristic, complemented
32C22×#41×C61C2212yescomplemented
33C22×#41×C61C2211yescharacteristic, complemented
34C23×D4×C61C2211yescharacteristic, complemented
35C61×#563C2212yescomplemented
36C61×#563C2212yescomplemented
37C61×#563C2212yescomplemented
38C61×#563C2214yescomplemented
39C61×#562C2214yescomplemented
40C61×#562C2214yescomplemented
41C61×#562C2214yescomplemented
42C61×H(3,𝔽4)C2212yescomplemented
43C61×#560C2214yescomplemented
44C61×#560C2212yescomplemented
45C61×#560C2214yescomplemented
46C61×#560C2212yescomplemented
47C61×#559C2211yescharacteristic, complemented
48C61×#559C2212yescomplemented
49C61×#559C2212yescomplemented
50C61×#556C2212yescomplemented
51C61×#556C2212yescomplemented
52C61×#556C2212yescomplemented
53C61×#555C2212yescomplemented
54C61×#555C2214yescomplemented
55C61×#555C2212yescomplemented
56C61×#554C2212yescomplemented
57C61×#554C2214yescomplemented
58C61×#554C2212yescomplemented
59C61×#553C2212yescomplemented
60C61×#553C2212yescomplemented
61C61×#553C2212yescomplemented
62C61×#553C2214yescomplemented
63C61×#553C2214yescomplemented
64C61×#553C2214yescomplemented
65C61×#553C2212yescomplemented
66C61×#553C2214yescomplemented
67C61×#553C2214yescomplemented
68C61×#553C2214yescomplemented
69C61×#552C2212yescomplemented
70C61×#552C2212yescomplemented
71C61×#552C2212yescomplemented
72C61×#552C2212yescomplemented
73C61×#552C2214yescomplemented
74C61×#552C2214yescomplemented
75C61×#551C2211yescharacteristic, complemented
76C61×#551C2214yescomplemented
77C61×#551C2212yescomplemented
78C61×#551C2212yescomplemented
79C61×#551C2214yescomplemented
80C61×#551C2214yescomplemented
81C61×#551C2214yescomplemented
82C61×#551C2214yescomplemented
83C61×#551C2214yescomplemented
84C61×#551C2214yescomplemented
85C61×#551C2214yescomplemented
86C61×#551C2212yescomplemented
87C61×#551C2214yescomplemented
88C61×#551C2214yescomplemented
89C61×#551C2214yescomplemented
90C61×#551C2212yescomplemented
91C61×#551C2214yescomplemented
92C61×#551C2214yescomplemented
93C61×#551C2212yescomplemented
94C61×#551C2214yescomplemented
95C61×#551C2211yescharacteristic, complemented
96C61×#551C2214yescomplemented
97C61×#551C2214yescomplemented
98C61×#550C2212yescomplemented
99D4×Q8×C61C2212yescomplemented
100D4×Q8×C61C2212yescomplemented
101D4×Q8×C61C2212yescomplemented
102C61×#548C2212yescomplemented
103C61×#548C2212yescomplemented
104C61×#548C2212yescomplemented
105C61×#548C2212yescomplemented
106C61×#548C2212yescomplemented
107C61×#548C2212yescomplemented
108C61×#547C2212yescomplemented
109C61×#547C2212yescomplemented
110C61×#547C2212yescomplemented
111C61×#547C2212yescomplemented
112C61×#547C2214yescomplemented
113C61×#547C2214yescomplemented
114C61×#547C2214yescomplemented
115C61×#547C2214yescomplemented
116C61×#546C2214yescomplemented
117C61×#546C2212yescomplemented
118C61×#546C2214yescomplemented
119C61×#546C2212yescomplemented
120C61×#546C2212yescomplemented
121C61×#546C2212yescomplemented
122C61×#546C2212yescomplemented
123C61×#546C2212yescomplemented
124C61×#546C2212yescomplemented
125C61×#546C2214yescomplemented
126C61×#546C2212yescomplemented
127C61×#546C2212yescomplemented
128C61×#546C2214yescomplemented
129C61×#546C2212yescomplemented
130C61×#546C2212yescomplemented
131C61×#546C2214yescomplemented
132C61×#546C2214yescomplemented
133C61×#546C2214yescomplemented
134C61×#546C2214yescomplemented
135C61×#546C2214yescomplemented
136C61×#546C2212yescomplemented
137C61×#546C2214yescomplemented
138C61×#546C2214yescomplemented
139C61×#546C2214yescomplemented
140C61×#546C2214yescomplemented
141C61×#546C2214yescomplemented
142C61×#546C2212yescomplemented
143C61×#546C2214yescomplemented
144C61×#546C2214yescomplemented
145C61×#546C2212yescomplemented
146D42×C61C2212yescomplemented
147D42×C61C2211yescharacteristic, complemented
148D42×C61C2214yescomplemented
149D42×C61C2212yescomplemented
150D42×C61C2214yescomplemented
151C61×#544C2214yescomplemented
152C61×#543C2214yescomplemented
153C61×#542C2214yescomplemented
154C61×#542C2212yescomplemented
155C61×#542C2212yescomplemented
156C61×#542C2214yescomplemented
157C61×#542C2214yescomplemented
158C61×#542C2214yescomplemented
159C61×#542C2214yescomplemented
160C61×#541C2212yescomplemented
161C61×#540C2212yescomplemented
162C61×#540C2214yescomplemented
163C61×#540C2214yescomplemented
164C61×#540C2214yescomplemented
165C61×#539C2214yescomplemented
166C61×#539C2214yescomplemented
167C61×#539C2214yescomplemented
168C61×#539C2214yescomplemented
169C61×#539C2214yescomplemented
170C61×#539C2214yescomplemented
171C61×#539C2214yescomplemented
172C61×#538C2214yescomplemented
173C61×#538C2214yescomplemented
174C61×#538C2214yescomplemented
175C61×#538C2214yescomplemented
176C61×#538C2214yescomplemented
177C61×#538C2214yescomplemented
178C61×#538C2214yescomplemented
179C61×#538C2214yescomplemented
180C61×#538C2214yescomplemented
181C61×#538C2214yescomplemented
182C61×#538C2214yescomplemented
183C61×#537C2212yescomplemented
184C61×#537C2214yescomplemented
185C61×#536C2211yescharacteristic, complemented
186C61×#536C2211yescharacteristic, complemented
187C61×#536C2214yescomplemented
188C61×#536C2212yescomplemented
189C61×#536C2211yescharacteristic, complemented
190C61×#536C2212yescomplemented
191C61×#535C2211yescharacteristic, complemented
192C61×#535C2211yescharacteristic, complemented
193C61×#535C2214yescomplemented
194C61×#535C2212yescomplemented
195C61×#535C2211yescharacteristic, complemented
196C61×#534C2212yescomplemented
197C61×#534C2212yescomplemented
198C61×#534C2214yescomplemented
199C61×#534C2214yescomplemented
200C61×#534C2212yescomplemented
201C61×#534C2212yescomplemented
202C61×#533C2212yescomplemented
203C61×#532C2211yescharacteristic, complemented
204C61×#532C2214yescomplemented
205C61×#532C2212yescomplemented
206C61×#532C2212yescomplemented
207C61×#529C2212yescomplemented
208C61×#529C2212yescomplemented
209C61×#529C2212yescomplemented
210C61×#529C2214yescomplemented
211C61×#529C2214yescomplemented
212C61×#529C2214yescomplemented
213C61×#529C2212yescomplemented
214C61×#529C2212yescomplemented
215C61×#529C2212yescomplemented
216C2×#126×C61C2214yescomplemented
217C2×#124×C61C2212yescomplemented
218C2×#124×C61C2212yescomplemented
219C2×#124×C61C2211yescharacteristic, complemented
220C61×#525C2211yescharacteristic
221C61×#525C2211yescharacteristic, complemented
222C61×#525C2214yescomplemented
223C61×#525C2214yescomplemented
224C61×#525C2214yescomplemented
225C61×#525C2212yescomplemented
226C61×#525C2212yescomplemented
227C61×#525C2214yescomplemented
228C61×#525C2211yescharacteristic, complemented
229C61×#525C2214yescomplemented
230C61×#525C2212yescomplemented
231C61×#525C2211yescharacteristic, complemented
232C2×#123×C61C2214yescomplemented
233C2×#123×C61C2212yescomplemented
234C2×#123×C61C2214yescomplemented
235C2×#123×C61C2212yescomplemented
236C2×C22⋊Q8×C61C2212yescomplemented
237C2×C22⋊Q8×C61C2214yescomplemented
238C2×C22⋊Q8×C61C2212yescomplemented
239C2×#121×C61C2214yescomplemented
240C2×#121×C61C2212yescomplemented
241C2×#120×C61C2212yes—
242C2×#120×C61C2214yescomplemented
243C2×#120×C61C2212yescomplemented
244C61×#520C2214yescomplemented
245C61×#520C2212yescomplemented
246C61×#518C2211yescharacteristic, complemented
247C61×#518C2214yescomplemented
248C61×#518C2214yescomplemented
249C61×#518C2211yescharacteristic, complemented
250C4×#41×C61C2212yescomplemented
251C4×#41×C61C2212yescomplemented
252C4×#41×C61C2211yescharacteristic, complemented
253C2×C4×D4×C61C2212yescomplemented
254C2×C4×D4×C61C2212yescomplemented
255C2×C4×D4×C61C2214yescomplemented
256C2×C4×D4×C61C2212yescomplemented
257C2×#117×C61C2214yescomplemented
258C22×C22⋊C4×C61C2214yescomplemented
259C25×C61C2312yes—
2602−1+4×C61—44no—
261H(5,𝔽2)×C61—44no—
262C2×#41×C61—48no—
263C2×#41×C61—44no—
264C2×#41×C61C2312yes—
265C2×#41×C61C2312yes—
266C2×#41×C61C2311yescharacteristic
267C2×#41×C61C2311yescharacteristic
268C2×#41×C61C2312yes—
269C2×#41×C61C2314yes—
270C2×#41×C61C2312yes—
271C2×#41×C61C2314yes—
272C2×#41×C61C2311yescharacteristic
273C2×#41×C61C2314yes—
274C2×#41×C61C2312yes—
275C2×#41×C61C2311yescharacteristic
276C2×#41×C61C2312yes—
277C2×#41×C61C2311yescharacteristic, complemented
278C2×#41×C61C2312yescomplemented
279C2×#41×C61C2314yescomplemented
280C2×#41×C61C2312yescomplemented
281C2×#41×C61C2314yescomplemented
282C22×Q8×C61C2312yes—
283C22×Q8×C61C2312yescomplemented
284C22×Q8×C61C2311yescharacteristic, complemented
285C22×Q8×C61C2312yescomplemented
286C22×Q8×C61C2311yescharacteristic, complemented
287C22×D4×C61—44no—
288C22×D4×C61C2311yescharacteristic
289C22×D4×C61C2312yes—
290C22×D4×C61C2311yescharacteristic
291C22×D4×C61C2312yes—
292C22×D4×C61C2314yes—
293C22×D4×C61C2312yes—
294C22×D4×C61C2312yes—
295C22×D4×C61C2312yes—
296C22×D4×C61C2314yes—
297C22×D4×C61C2312yes—
298C22×D4×C61C2311yescharacteristic
299C22×D4×C61C2311yescharacteristic
300C22×D4×C61C2314yes—
301C22×D4×C61C2314yes—
302C22×D4×C61C2312yes—
303C22×D4×C61C2314yes—
304C22×D4×C61C2312yes—
305C22×D4×C61C2312yescomplemented
306C23×C4×C61C2311yescharacteristic
307C23×C4×C61C2314yes—
308C23×C4×C61C2312yes—
309C23×C4×C61C2314yes—
310C23×C4×C61C2312yescomplemented
311C23×C4×C61C2311yescharacteristic, complemented
312C4⋊Q8×C61C2312yescomplemented
313C4⋊Q8×C61C2311yescharacteristic, complemented
314C4⋊Q8×C61C2312yescomplemented
315C4⋊Q8×C61C2314yescomplemented
316C4⋊Q8×C61C2312yescomplemented
317C4⋊Q8×C61C2312yescomplemented
318C4⋊Q8×C61C2314yescomplemented
319C4⋊Q8×C61C2314yescomplemented
320C4⋊Q8×C61C2312yescomplemented
321#127×C61C2311yescharacteristic
322#127×C61C2312yes—
323#127×C61C2312yes—
324#127×C61C2312yescomplemented
325#127×C61C2314yescomplemented
326#126×C61C2314yes—
327#126×C61C2314yes—
328#126×C61C2314yes—
329#126×C61C2314yes—
330#126×C61C2312yes—
331#126×C61C2314yescomplemented
332#126×C61C2314yescomplemented
333#126×C61C2314yescomplemented
334#126×C61C2314yescomplemented
335#126×C61C2314yescomplemented
336#126×C61C2314yescomplemented
337#126×C61C2314yescomplemented
338#126×C61C2314yescomplemented
339#126×C61C2314yescomplemented
340#126×C61C2314yescomplemented
341#126×C61C2314yescomplemented
342#126×C61C2314yescomplemented
343#126×C61C2314yescomplemented
344#126×C61C2314yescomplemented
345#126×C61C2314yescomplemented
346#126×C61C2312yescomplemented
347#126×C61C2312yescomplemented
348#126×C61C2314yescomplemented
349#126×C61C2312yescomplemented
350#125×C61C2314yescomplemented
351#125×C61C2314yescomplemented
352#125×C61C2314yescomplemented
353#125×C61C2314yescomplemented
354#125×C61C2314yescomplemented
355#125×C61C2312yescomplemented
356#125×C61C2312yescomplemented
357#125×C61C2314yescomplemented
358#125×C61C2312yescomplemented
359#125×C61C2314yescomplemented
360#125×C61C2312yescomplemented
361#124×C61C2312yes—
362#124×C61C2311yescharacteristic
363#124×C61C2312yes—
364#124×C61C2312yes—
365#124×C61C2312yes—
366#124×C61C2312yes—
367#124×C61C2312yes—
368#124×C61C2312yes—
369#124×C61C2314yes—
370#124×C61C2312yes—
371#124×C61C2314yes—
372#124×C61C2314yes—
373#124×C61C2314yes—
374#124×C61C2312yes—
375#124×C61C2311yescharacteristic, complemented
376#124×C61C2314yescomplemented
377#124×C61C2314yescomplemented
378#124×C61C2312yescomplemented
379#124×C61C2312yescomplemented
380#124×C61C2312yescomplemented
381#124×C61C2312yescomplemented
382#124×C61C2314yescomplemented
383#124×C61C2314yescomplemented
384#124×C61C2314yescomplemented
385#124×C61C2314yescomplemented
386#124×C61C2314yescomplemented
387#124×C61C2314yescomplemented
388#124×C61C2312yescomplemented
389#124×C61C2314yescomplemented
390#124×C61C2314yescomplemented
391#123×C61C2312yes—
392#123×C61C2311yescharacteristic
393#123×C61C2311yescharacteristic
394#123×C61C2314yes—
395#123×C61C2312yes—
396#123×C61C2314yes—
397#123×C61C2314yes—
398#123×C61C2314yes—
399#123×C61C2314yes—
400#123×C61C2314yes—
401#123×C61C2312yes—
402#123×C61C2314yes—
403#123×C61C2314yes—
404#123×C61C2314yes—
405#123×C61C2312yes—
406#123×C61C2314yes—
407#123×C61C2314yes—
408#123×C61C2314yes—
409#123×C61C2314yes—
410#123×C61C2314yes—
411#123×C61C2314yes—
412#123×C61C2314yes—
413#123×C61C2312yes—
414#123×C61C2314yes—
415#123×C61C2312yes—
416#123×C61C2311yescharacteristic
417#123×C61C2312yescomplemented
418#123×C61C2312yescomplemented
419#123×C61C2314yescomplemented
420#123×C61C2312yescomplemented
421#123×C61C2314yescomplemented
422#123×C61C2314yescomplemented
423#123×C61C2314yescomplemented
424#123×C61C2314yescomplemented
425#123×C61C2314yescomplemented
426#123×C61C2314yescomplemented
427#123×C61C2314yescomplemented
428#123×C61C2312yescomplemented
429#123×C61C2314yescomplemented
430#123×C61C2314yescomplemented
431#123×C61C2312yescomplemented
432#123×C61C2314yescomplemented
433#123×C61C2314yescomplemented
434#123×C61C2314yescomplemented
435#123×C61C2314yescomplemented
436#123×C61C2314yescomplemented
437#123×C61C2314yescomplemented
438#123×C61C2314yescomplemented
439#123×C61C2314yescomplemented
440#123×C61C2314yescomplemented
441#123×C61C2314yescomplemented
442#123×C61C2312yescomplemented
443#123×C61C2312yescomplemented
444#123×C61C2314yescomplemented
445#123×C61C2314yescomplemented
446#123×C61C2314yescomplemented
447#123×C61C2312yescomplemented
448#123×C61C2311yescharacteristic, complemented
449C22⋊Q8×C61C2314yes—
450C22⋊Q8×C61C2312yes—
451C22⋊Q8×C61C2312yes—
452C22⋊Q8×C61C2312yes—
453C22⋊Q8×C61C2312yes—
454C22⋊Q8×C61C2314yes—
455C22⋊Q8×C61C2314yes—
456C22⋊Q8×C61C2314yes—
457C22⋊Q8×C61C2314yes—
458C22⋊Q8×C61C2312yes—
459C22⋊Q8×C61C2314yes—
460C22⋊Q8×C61C2312yes—
461C22⋊Q8×C61C2312yes—
462C22⋊Q8×C61C2312yes—
463C22⋊Q8×C61C2314yes—
464C22⋊Q8×C61C2314yescomplemented
465C22⋊Q8×C61C2312yescomplemented
466C22⋊Q8×C61C2314yescomplemented
467C22⋊Q8×C61C2312yescomplemented
468C22⋊Q8×C61C2314yescomplemented
469C22⋊Q8×C61C2314yescomplemented
470C22⋊Q8×C61C2314yescomplemented
471C22⋊Q8×C61C2314yescomplemented
472C22⋊Q8×C61C2314yescomplemented
473C22⋊Q8×C61C2312yescomplemented
474C22⋊Q8×C61C2314yescomplemented
475C22⋊Q8×C61C2314yescomplemented
476C22⋊Q8×C61C2312yescomplemented
477C22⋊Q8×C61C2314yescomplemented
478C22⋊Q8×C61C2314yescomplemented
479C22⋊Q8×C61C2314yescomplemented
480C22⋊Q8×C61C2314yescomplemented
481C22⋊Q8×C61C2314yescomplemented
482C22⋊Q8×C61C2314yescomplemented
483C22⋊Q8×C61C2312yescomplemented
484C22⋊Q8×C61C2314yescomplemented
485C22⋊Q8×C61C2314yescomplemented
486C22⋊Q8×C61C2314yescomplemented
487C22⋊Q8×C61C2314yescomplemented
488C22⋊Q8×C61C2314yescomplemented
489C22⋊Q8×C61C2312yescomplemented
490C22⋊Q8×C61C2314yescomplemented
491C22⋊Q8×C61C2312yescomplemented
492C22⋊Q8×C61C2312yescomplemented
493C22⋊Q8×C61C2314yescomplemented
494#121×C61C2314yes—
495#121×C61C2312yes—
496#121×C61C2314yes—
497#121×C61C2314yes—
498#121×C61C2314yes—
499#121×C61C2314yes—
500#121×C61C2314yes—
501#121×C61C2314yes—
502#121×C61C2314yes—
503#121×C61C2312yes—
504#121×C61C2314yes—
505#121×C61C2314yes—
506#121×C61C2312yes—
507#121×C61C2312yes—
508#121×C61C2314yes—
509#121×C61C2312yes—
510#121×C61C2312yes—
511#121×C61C2312yes—
512#121×C61C2312yes—
513#121×C61C2314yes—
514#121×C61C2314yes—
515#121×C61C2314yes—
516#121×C61C2314yes—
517#121×C61C2312yes—
518#121×C61C2314yes—
519#121×C61C2314yes—
520#121×C61C2314yes—
521#121×C61C2312yes—
522#121×C61C2312yes—
523#121×C61C2312yes—
524#121×C61C2312yes—
525#121×C61C2314yescomplemented
526#121×C61C2314yescomplemented
527#121×C61C2314yescomplemented
528#121×C61C2314yescomplemented
529#121×C61C2312yescomplemented
530#121×C61C2314yescomplemented
531#121×C61C2314yescomplemented
532#121×C61C2314yescomplemented
533#121×C61C2314yescomplemented
534#121×C61C2314yescomplemented
535#121×C61C2314yescomplemented
536#121×C61C2314yescomplemented
537#121×C61C2314yescomplemented
538#121×C61C2314yescomplemented
539#121×C61C2314yescomplemented
540#121×C61C2314yescomplemented
541#121×C61C2314yescomplemented
542#121×C61C2312yescomplemented
543#121×C61C2312yescomplemented
544#121×C61C2314yescomplemented
545#121×C61C2314yescomplemented
546#121×C61C2314yescomplemented
547#121×C61C2314yescomplemented
548#120×C61C2311yescharacteristic
549#120×C61C2312yes—
550#120×C61C2312yes—
551#120×C61C2312yes—
552#120×C61C2314yes—
553#120×C61C2312yes—
554#120×C61C2312yes—
555#120×C61C2314yes—
556#120×C61C2314yes—
557#120×C61C2314yes—
558#120×C61C2314yes—
559#120×C61C2314yes—
560#120×C61C2312yes—
561#120×C61C2314yes—
562#120×C61C2314yes—
563#120×C61C2314yes—
564#120×C61C2314yes—
565#120×C61C2314yes—
566#120×C61C2314yes—
567#120×C61C2314yes—
568#120×C61C2314yes—
569#120×C61C2311yescharacteristic
570#120×C61C2314yes—
571#120×C61C2312yes—
572#120×C61C2311yescharacteristic
573#120×C61C2312yescomplemented
574#120×C61C2314yescomplemented
575#120×C61C2311yescharacteristic, complemented
576#120×C61C2314yescomplemented
577#120×C61C2314yescomplemented
578#120×C61C2314yescomplemented
579C4×Q8×C61C2314yescomplemented
580C4×Q8×C61C2312yescomplemented
581C4×Q8×C61C2312yescomplemented
582C4×Q8×C61C2312yescomplemented
583C4×Q8×C61C2312yescomplemented
584C4×Q8×C61C2312yescomplemented
585C4×Q8×C61C2312yescomplemented
586C4×Q8×C61C2314yescomplemented
587C4×Q8×C61C2312yescomplemented
588C4×D4×C61C2312yes—
589C4×D4×C61C2312yes—
590C4×D4×C61C2314yes—
591C4×D4×C61C2314yes—
592C4×D4×C61C2314yes—
593C4×D4×C61C2314yes—
594C4×D4×C61C2312yes—
595C4×D4×C61C2312yes—
596C4×D4×C61C2314yes—
597C4×D4×C61C2314yes—
598C4×D4×C61C2314yes—
599C4×D4×C61C2312yes—
600C4×D4×C61C2312yes—
601C4×D4×C61C2312yes—
602C4×D4×C61C2312yes—
603C4×D4×C61C2312yes—
604C4×D4×C61C2312yes—
605C4×D4×C61C2312yes—
606C4×D4×C61C2312yes—
607C4×D4×C61C2312yes—
608C4×D4×C61C2312yes—
609C4×D4×C61C2312yes—
610C4×D4×C61C2312yes—
611C4×D4×C61C2314yes—
612C4×D4×C61C2312yes—
613C4×D4×C61C2314yes—
614C4×D4×C61C2312yes—
615C4×D4×C61C2314yes—
616C4×D4×C61C2312yes—
617C4×D4×C61C2312yes—
618C4×D4×C61C2314yescomplemented
619C4×D4×C61C2312yescomplemented
620C4×D4×C61C2314yescomplemented
621C4×D4×C61C2314yescomplemented
622C4×D4×C61C2314yescomplemented
623C4×D4×C61C2314yescomplemented
624C4×D4×C61C2314yescomplemented
625C4×D4×C61C2312yescomplemented
626C4×D4×C61C2314yescomplemented
627C4×D4×C61C2314yescomplemented
628C4×D4×C61C2312yescomplemented
629C4×D4×C61C2314yescomplemented
630C4×D4×C61C2314yescomplemented
631C4×D4×C61C2314yescomplemented
632C4×D4×C61C2314yescomplemented
633C4×D4×C61C2314yescomplemented
634C4×D4×C61C2314yescomplemented
635C4×D4×C61C2314yescomplemented
636C4×D4×C61C2314yescomplemented
637C4×D4×C61C2314yescomplemented
638C4×D4×C61C2314yescomplemented
639C4×D4×C61C2314yescomplemented
640C4×D4×C61C2314yescomplemented
641C4×D4×C61C2312yescomplemented
642C4×D4×C61C2314yescomplemented
643C4×D4×C61C2314yescomplemented
644C4×D4×C61C2314yescomplemented
645C4×D4×C61C2312yescomplemented
646C4×D4×C61C2312yescomplemented
647C4×D4×C61C2314yescomplemented
648C4×D4×C61C2312yescomplemented
649#117×C61C2314yes—
650#117×C61C2311yescharacteristic
651#117×C61C2314yes—
652#117×C61C2311yescharacteristic
653#117×C61C2314yes—
654#117×C61C2312yes—
655#117×C61C2314yes—
656#117×C61C2312yescomplemented
657#117×C61C2311yescharacteristic, complemented
658#117×C61C2312yescomplemented
659#117×C61C2311yescharacteristic, complemented
660#117×C61C2314yescomplemented
661#117×C61C2311yescharacteristic, complemented
662#117×C61C2314yescomplemented
663#117×C61C2314yescomplemented
664#117×C61C2314yescomplemented
665#117×C61C2314yescomplemented
666#117×C61C2314yescomplemented
667#117×C61C2314yescomplemented
668#117×C61C2314yescomplemented
669#117×C61C2314yescomplemented
670#117×C61C2312yescomplemented
671#117×C61C2314yescomplemented
672#117×C61C2312yescomplemented
673#117×C61C2312yescomplemented
674C2×C4⋊C4×C61C2314yes—
675C2×C4⋊C4×C61C2312yes—
676C2×C4⋊C4×C61C2312yes—
677C2×C4⋊C4×C61C2314yescomplemented
678C2×C4⋊C4×C61C2312yescomplemented
679C2×C4⋊C4×C61C2312yescomplemented
680C2×C4⋊C4×C61C2314yescomplemented
681C2×C4⋊C4×C61C2314yescomplemented
682C2×C4⋊C4×C61C2314yescomplemented
683C2×C4⋊C4×C61C2314yescomplemented
684C2×C4⋊C4×C61C2314yescomplemented
685C2×C22⋊C4×C61C2312yes—
686C2×C22⋊C4×C61C2314yes—
687C2×C22⋊C4×C61C2314yes—
688C2×C22⋊C4×C61C2312yes—
689C2×C22⋊C4×C61C2314yes—
690C2×C22⋊C4×C61C2314yes—
691C2×C22⋊C4×C61C2314yes—
692C2×C22⋊C4×C61C2314yes—
693C2×C22⋊C4×C61C2314yes—
694C2×C22⋊C4×C61C2314yes—
695C2×C22⋊C4×C61C2314yes—
696C2×C22⋊C4×C61C2314yes—
697C2×C22⋊C4×C61C2314yes—
698C2×C22⋊C4×C61C2312yes—
699C2×C22⋊C4×C61C2314yes—
700C2×C22⋊C4×C61C2312yes—
701C2×C22⋊C4×C61C2314yes—
702C2×C22⋊C4×C61C2314yes—
703C2×C22⋊C4×C61C2314yes—
704C2×C22⋊C4×C61C2314yes—
705C2×C22⋊C4×C61C2312yes—
706C2×C22⋊C4×C61C2312yescomplemented
707C2×C22⋊C4×C61C2312yescomplemented
708C2×C22⋊C4×C61C2312yescomplemented
709C2×C22⋊C4×C61C2314yescomplemented
710C2×C22⋊C4×C61C2314yescomplemented
711C2×C22⋊C4×C61C2314yescomplemented
712C2×C42×C61C2312yes—
713C2×C42×C61C2312yescomplemented
714C2×C42×C61C2314yescomplemented
715C2×C42×C61C2312yescomplemented
716C2×C42×C61C2311yescharacteristic, complemented
717C24×C61—44no—
718C24×C61—48no—
719C24×C61C2411yescharacteristic
720C24×C61C2414yes—
721C24×C61C2412yes—
722C24×C61C2414yes—
723C24×C61C2412yes—
724C24×C61C2412yes—
725C24×C61C2412yes—
726C24×C61C2412yes—
727C24×C61C2411yescharacteristic
728#41×C61—28no—
729#41×C61—28no—
730#41×C61—24no—
731#41×C61—42no—
732#41×C61—42no—
733#41×C61—48no—
734#41×C61—48no—
735#41×C61—48no—
736#41×C61—44no—
737#41×C61—48no—
738#41×C61—44no—
739#41×C61—48no—
740#41×C61—44no—
741#41×C61—44no—
742#41×C61—44no—
743#41×C61—44no—
744#41×C61—42no—
745#41×C61—42no—
746C2×Q8×C61—44no—
747C2×Q8×C61—44no—
748C2×Q8×C61—42no—
749C2×Q8×C61—44no—
750C2×Q8×C61—42no—
751C2×Q8×C61C2412yes—
752C2×Q8×C61C2412yes—
753C2×Q8×C61C2411yescharacteristic
754C2×Q8×C61C2412yes—
755C2×Q8×C61C2414yes—
756C2×Q8×C61C2411yescharacteristic
757C2×Q8×C61C2414yes—
758C2×Q8×C61C2414yes—
759C2×Q8×C61C2412yes—
760C2×Q8×C61C2411yescharacteristic
761C2×Q8×C61C2412yes—
762C2×D4×C61—28no—
763C2×D4×C61—24no—
764C2×D4×C61—24no—
765C2×D4×C61—44no—
766C2×D4×C61—42no—
767C2×D4×C61—42no—
768C2×D4×C61—48no—
769C2×D4×C61—44no—
770C2×D4×C61—48no—
771C2×D4×C61—44no—
772C2×D4×C61—48no—
773C2×D4×C61—44no—
774C2×D4×C61—48no—
775C2×D4×C61—44no—
776C2×D4×C61—48no—
777C2×D4×C61—44no—
778C2×D4×C61—44no—
779C2×D4×C61—44no—
780C2×D4×C61C2412yes—
781C2×D4×C61C2412yes—
782C2×D4×C61C2414yes—
783C2×D4×C61C2412yes—
784C2×D4×C61C2412yes—
785C2×D4×C61C2414yes—
786C2×D4×C61C2412yes—
787C2×D4×C61C2411yescharacteristic
788C2×D4×C61C2412yes—
789C2×D4×C61C2414yes—
790C2×D4×C61C2412yes—
791C2×D4×C61C2412yes—
792C2×D4×C61C2414yes—
793C2×D4×C61C2411yescharacteristic
794C2×D4×C61C2412yes—
795C2×D4×C61C2412yes—
796C2×D4×C61C2414yes—
797C2×D4×C61C2414yes—
798C2×D4×C61C2414yes—
799C2×D4×C61C2414yes—
800C2×D4×C61C2414yes—
801C2×D4×C61C2414yes—
802C2×D4×C61C2414yes—
803C2×D4×C61C2414yes—
804C2×D4×C61C2412yes—
805C2×D4×C61C2414yes—
806C2×D4×C61C2412yes—
807C2×D4×C61C2412yes—
808C2×D4×C61C2411yescharacteristic
809C2×D4×C61C2411yescharacteristic
810C2×D4×C61C2412yes—
811C2×D4×C61C2414yes—
812C2×D4×C61C2412yes—
813C2×D4×C61C2414yes—
814C2×D4×C61C2412yes—
815C2×D4×C61C2411yescharacteristic
816C2×D4×C61C2412yes—
817C2×D4×C61C2414yes—
818C2×D4×C61C2414yes—
819C2×D4×C61C2411yescharacteristic
820C2×D4×C61C2412yes—
821C2×D4×C61C2411yescharacteristic
822C22×C4×C61—42no—
823C22×C4×C61—44no—
824C22×C4×C61—42no—
825C22×C4×C61—48no—
826C22×C4×C61—48no—
827C22×C4×C61—44no—
828C22×C4×C61C2412yes—
829C22×C4×C61C2412yes—
830C22×C4×C61C2414yes—
831C22×C4×C61C2412yes—
832C22×C4×C61C2412yes—
833C22×C4×C61C2411yescharacteristic
834C22×C4×C61C2414yes—
835C22×C4×C61C2414yes—
836C22×C4×C61C2412yes—
837C22×C4×C61C2411yescharacteristic
838C22×C4×C61C2411yescharacteristic
839C22×C4×C61C2412yes—
840C22×C4×C61C2414yes—
841C22×C4×C61C2414yes—
842C22×C4×C61C2412yes—
843C22×C4×C61C2412yes—
844C22×C4×C61C2412yes—
845C22×C4×C61C2412yes—
846C22×C4×C61C2414yes—
847C22×C4×C61C2414yes—
848C22×C4×C61C2414yes—
849C22×C4×C61C2414yes—
850C22×C4×C61C2414yes—
851C22×C4×C61C2414yes—
852C22×C4×C61C2412yes—
853C22×C4×C61C2414yes—
854C22×C4×C61C2412yes—
855C22×C4×C61C2414yes—
856C22×C4×C61C2412yes—
857C22×C4×C61C2414yes—
858C22×C4×C61C2414yes—
859C22×C4×C61C2412yes—
860C22×C4×C61C2414yes—
861C22×C4×C61C2412yes—
862C22×C4×C61C2412yes—
863C22×C4×C61C2412yes—
864C22×C4×C61C2411yescharacteristic
865C22×C4×C61C2411yescharacteristic
866C22×C4×C61C2412yes—
867C4⋊C4×C61C2412yes—
868C4⋊C4×C61C2412yes—
869C4⋊C4×C61C2412yes—
870C4⋊C4×C61C2414yes—
871C4⋊C4×C61C2414yes—
872C4⋊C4×C61C2412yes—
873C4⋊C4×C61C2414yes—
874C4⋊C4×C61C2412yes—
875C4⋊C4×C61C2412yes—
876C4⋊C4×C61C2414yes—
877C4⋊C4×C61C2414yes—
878C4⋊C4×C61C2414yes—
879C4⋊C4×C61C2412yes—
880C4⋊C4×C61C2412yes—
881C4⋊C4×C61C2412yes—
882C4⋊C4×C61C2414yes—
883C4⋊C4×C61C2414yes—
884C4⋊C4×C61C2412yes—
885C4⋊C4×C61C2414yes—
886C4⋊C4×C61C2412yes—
887C4⋊C4×C61C2414yes—
888C4⋊C4×C61C2414yes—
889C4⋊C4×C61C2414yes—
890C4⋊C4×C61C2414yes—
891C4⋊C4×C61C2412yes—
892C4⋊C4×C61C2412yes—
893C4⋊C4×C61C2414yes—
894C4⋊C4×C61C2414yes—
895C4⋊C4×C61C2414yes—
896C4⋊C4×C61C2414yes—
897C4⋊C4×C61C2414yes—
898C4⋊C4×C61C2414yes—
899C4⋊C4×C61C2412yes—
900C4⋊C4×C61C2414yes—
901C4⋊C4×C61C2414yes—
902C4⋊C4×C61C2412yes—
903C4⋊C4×C61C2412yes—
904C4⋊C4×C61C2414yes—
905C4⋊C4×C61C2414yes—
906C4⋊C4×C61C2412yes—
907C4⋊C4×C61C2412yes—
908C4⋊C4×C61C2412yes—
909C4⋊C4×C61C2414yes—
910C4⋊C4×C61C2414yes—
911C4⋊C4×C61C2414yes—
912C22⋊C4×C61C2412yes—
913C22⋊C4×C61C2412yes—
914C22⋊C4×C61C2412yes—
915C22⋊C4×C61C2412yes—
916C22⋊C4×C61C2414yes—
917C22⋊C4×C61C2414yes—
918C22⋊C4×C61C2414yes—
919C22⋊C4×C61C2414yes—
920C22⋊C4×C61C2414yes—
921C22⋊C4×C61C2412yes—
922C22⋊C4×C61C2414yes—
923C22⋊C4×C61C2414yes—
924C22⋊C4×C61C2414yes—
925C22⋊C4×C61C2414yes—
926C22⋊C4×C61C2414yes—
927C22⋊C4×C61C2414yes—
928C22⋊C4×C61C2414yes—
929C22⋊C4×C61C2414yes—
930C22⋊C4×C61C2412yes—
931C22⋊C4×C61C2411yescharacteristic
932C22⋊C4×C61C2412yes—
933C22⋊C4×C61C2411yescharacteristic
934C22⋊C4×C61C2414yes—
935C22⋊C4×C61C2412yes—
936C22⋊C4×C61C2414yes—
937C22⋊C4×C61C2414yes—
938C22⋊C4×C61C2414yes—
939C22⋊C4×C61C2414yes—
940C22⋊C4×C61C2412yes—
941C22⋊C4×C61C2414yes—
942C22⋊C4×C61C2414yes—
943C22⋊C4×C61C2414yes—
944C22⋊C4×C61C2414yes—
945C22⋊C4×C61C2414yes—
946C22⋊C4×C61C2412yes—
947C22⋊C4×C61C2412yes—
948C22⋊C4×C61C2412yes—
949C22⋊C4×C61C2412yes—
950C22⋊C4×C61C2414yes—
951C22⋊C4×C61C2414yes—
952C22⋊C4×C61C2414yes—
953C22⋊C4×C61C2414yes—
954C22⋊C4×C61C2414yes—
955C22⋊C4×C61C2414yes—
956C22⋊C4×C61C2412yes—
957C22⋊C4×C61C2412yes—
958C22⋊C4×C61C2414yes—
959C22⋊C4×C61C2411yescharacteristic
960C22⋊C4×C61C2412yes—
961C22⋊C4×C61C2411yescharacteristic
962C22⋊C4×C61C2412yes—
963C22⋊C4×C61C2412yes—
964C22⋊C4×C61C2414yes—
965C22⋊C4×C61C2414yes—
966C22⋊C4×C61C2414yes—
967C22⋊C4×C61C2414yes—
968C22⋊C4×C61C2414yes—
969C22⋊C4×C61C2412yes—
970C22⋊C4×C61C2414yes—
971C22⋊C4×C61C2412yes—
972C22⋊C4×C61C2414yes—
973C22⋊C4×C61C2414yes—
974C22⋊C4×C61C2412yes—
975C22⋊C4×C61C2412yes—
976C22⋊C4×C61C2412yes—
977C42×C61C2412yes—
978C42×C61C2412yes—
979C42×C61C2412yes—
980C42×C61C2412yes—
981C42×C61C2411yescharacteristic
982C42×C61C2412yes—
983C42×C61C2412yes—
984C42×C61C2414yes—
985C42×C61C2414yes—
986C42×C61C2414yes—
987C42×C61C2412yes—
988C42×C61C2414yes—
989C42×C61C2412yes—
990C42×C61C2411yescharacteristic
991C42×C61C2412yes—
992C42×C61C2412yes—
993C42×C61C2414yes—
994C42×C61C2414yes—
995C23×C61—28no—
996C23×C61—28no—
997C23×C61—24no—
998C23×C61—24no—
999C23×C61—24no—
1000C23×C61—24no—
1001C23×C61—28no—
1002C23×C61—41no—
1003C23×C61—44no—
1004C23×C61—42no—
1005C23×C61—41no—
1006C23×C61—44no—
1007C23×C61—42no—
1008C23×C61—44no—
1009C23×C61—42no—
1010C23×C61—42no—
1011C23×C61—44no—
1012C23×C61—44no—
1013C23×C61—44no—
1014C23×C61—42no—
1015C23×C61—44no—
1016C23×C61—816no—
1017C23×C61C2511yescharacteristic
1018C23×C61C2512yes—
1019C23×C61C2511yescharacteristic
1020C23×C61C2514yes—
1021C23×C61C2511yescharacteristic
1022C23×C61C2512yes—
1023C23×C61C2512yes—
1024C23×C61C2512yes—
1025C23×C61C2512yes—
1026C23×C61C2512yes—
1027Q8×C61—24no—
1028Q8×C61—24no—
1029Q8×C61—22no—
1030Q8×C61—41no—
1031Q8×C61—44no—
1032Q8×C61—42no—
1033Q8×C61—44no—
1034Q8×C61—42no—
1035Q8×C61—42no—
1036Q8×C61—44no—
1037Q8×C61—41no—
1038D4×C61—24no—
1039D4×C61—28no—
1040D4×C61—24no—
1041D4×C61—28no—
1042D4×C61—24no—
1043D4×C61—28no—
1044D4×C61—24no—
1045D4×C61—24no—
1046D4×C61—28no—
1047D4×C61—24no—
1048D4×C61—24no—
1049D4×C61—22no—
1050D4×C61—24no—
1051D4×C61—22no—
1052D4×C61—42no—
1053D4×C61—44no—
1054D4×C61—41no—
1055D4×C61—42no—
1056D4×C61—41no—
1057D4×C61—41no—
1058D4×C61—42no—
1059D4×C61—42no—
1060D4×C61—44no—
1061D4×C61—44no—
1062D4×C61—44no—
1063D4×C61—44no—
1064D4×C61—44no—
1065D4×C61—42no—
1066D4×C61—42no—
1067D4×C61—44no—
1068D4×C61—44no—
1069D4×C61—44no—
1070D4×C61—42no—
1071D4×C61—42no—
1072D4×C61—44no—
1073D4×C61—44no—
1074D4×C61—44no—
1075D4×C61—42no—
1076D4×C61—44no—
1077D4×C61—42no—
1078D4×C61—41no—
1079D4×C61H(5,𝔽2)14yes—
1080C2×C4×C61—28no—
1081C2×C4×C61—28no—
1082C2×C4×C61—24no—
1083C2×C4×C61—24no—
1084C2×C4×C61—28no—
1085C2×C4×C61—24no—
1086C2×C4×C61—24no—
1087C2×C4×C61—22no—
1088C2×C4×C61—22no—
1089C2×C4×C61—24no—
1090C2×C4×C61—22no—
1091C2×C4×C61—41no—
1092C2×C4×C61—42no—
1093C2×C4×C61—44no—
1094C2×C4×C61—44no—
1095C2×C4×C61—44no—
1096C2×C4×C61—44no—
1097C2×C4×C61—42no—
1098C2×C4×C61—41no—
1099C2×C4×C61—42no—
1100C2×C4×C61—44no—
1101C2×C4×C61—42no—
1102C2×C4×C61—42no—
1103C2×C4×C61—44no—
1104C2×C4×C61—44no—
1105C2×C4×C61—42no—
1106C2×C4×C61—44no—
1107C2×C4×C61—44no—
1108C2×C4×C61—42no—
1109C2×C4×C61—44no—
1110C2×C4×C61—42no—
1111C2×C4×C61—42no—
1112C2×C4×C61—42no—
1113C2×C4×C61—44no—
1114C2×C4×C61—42no—
1115C2×C4×C61—42no—
1116C2×C4×C61—42no—
1117C2×C4×C61—44no—
1118C2×C4×C61—44no—
1119C2×C4×C61C2512yes—
1120C2×C4×C61C2512yes—
1121C2×C4×C61C2514yes—
1122C2×C4×C61C2512yes—
1123C2×C4×C61C2514yes—
1124C2×C4×C61C2512yes—
1125C2×C4×C61C2512yes—
1126C2×C4×C61C2512yes—
1127C2×C4×C61C2511yescharacteristic
1128C2×C4×C61C2512yes—
1129C2×C4×C61C2514yes—
1130C2×C4×C61C2514yes—
1131C2×C4×C61C2511yescharacteristic
1132C2×C4×C61C2512yes—
1133C2×C4×C61C2514yes—
1134C2×C4×C61C2512yes—
1135C2×C4×C61C2511yescharacteristic
1136C2×C4×C61C2512yes—
1137C2×C4×C61C2511yescharacteristic
1138#63017C6111yesmaximal, characteristic, direct product factor, Sylow
1139C22×C61—22no—
1140C22×C61—24no—
1141C22×C61—22no—
1142C22×C61—22no—
1143C22×C61—21no—
1144C22×C61—22no—
1145C22×C61—21no—
1146C22×C61—21no—
1147C22×C61—22no—
1148C22×C61—24no—
1149C22×C61—22no—
1150C22×C61—22no—
1151C22×C61—24no—
1152C22×C61—22no—
1153C22×C61—24no—
1154C22×C61—22no—
1155C22×C61—22no—
1156C22×C61—24no—
1157C22×C61—22no—
1158C22×C61—22no—
1159C22×C61—24no—
1160C22×C61—22no—
1161C22×C61—416no—
1162C22×C61—44no—
1163C22×C61—84no—
1164C22×C61—84no—
1165C22×C61—88no—
1166C22×C61—84no—
1167C22×C61—82no—
1168C22×C61—84no—
1169C22×C61—162no—
1170C22×C61C2×H(5,𝔽2)14yes—
1171C22×C61#58514yes—
1172C22×C61C2611yescharacteristic
1173C4×C61—22no—
1174C4×C61—22no—
1175C4×C61—21no—
1176C4×C61—21no—
1177C4×C61—22no—
1178C4×C61—21no—
1179C4×C61—24no—
1180C4×C61—22no—
1181C4×C61—24no—
1182C4×C61—22no—
1183C4×C61—24no—
1184C4×C61—22no—
1185C4×C61—24no—
1186C4×C61—22no—
1187C4×C61—24no—
1188C4×C61—22no—
1189C4×C61—22no—
1190C4×C61—22no—
1191C4×C61C2×H(5,𝔽2)12yes—
1192#3562C2×C6112yescomplemented
1193#3561C2×C6112yescomplemented
1194#3560C2×C6114yescomplemented
1195#3551C2×C6111yescharacteristic, complemented
1196#3545C2×C6112yescomplemented
1197#3542C2×C6112yescomplemented
1198#3540C2×C6111yescharacteristic, complemented
1199#3538C2×C6111yescharacteristic, complemented
1200#3535C2×C6114yescomplemented
1201#3534C2×C6114yescomplemented
1202#3533C2×C6112yescomplemented
1203#3532C2×C6112yescomplemented
1204#3521C2×C6112yescomplemented
1205#3520C2×C6112yescomplemented
1206#3514C2×C6112yescomplemented
1207#3513C2×C6112yescomplemented
1208#3513C2×C6114yescomplemented
1209#3505C2×C6112yescomplemented
1210#3500C2×C6111yescharacteristic, complemented
1211#3494C2×C6114yescomplemented
1212#3490C2×C6114yescomplemented
1213#3489C2×C6112yescomplemented
1214#3485C2×C6111yescharacteristic, complemented
1215#3484C2×C6111yescharacteristic, complemented
1216#3481C2×C6111yescharacteristic, complemented
1217#3475C2×C6112yescomplemented
1218C2×#551C2×C6112yescomplemented
1219D4×#41C2×C6112yescomplemented
1220C2×#546C2×C6112yescomplemented
1221C2×C61—24no—
1222C2×C61—24no—
1223C2×C61—44no—
1224C2×C61—41no—
1225C2×C61—42no—
1226C2×C61—42no—
1227C2×C61—41no—
1228C2×C61—42no—
1229C2×C61—42no—
1230C2×C61—41no—
1231C2×C61C22×H(5,𝔽2)11yescharacteristic
1232C2×C61C2×#58512yes—
1233C2×2−1+4C22×C6111yescharacteristic, complemented
1234C2×H(5,𝔽2)C22×C6111yescharacteristic, complemented
1235C22×#41C22×C6112yescomplemented
1236C22×#41C22×C6111yescharacteristic, complemented
1237C23×D4C22×C6111yescharacteristic, complemented
1238#563C22×C6112yescomplemented
1239#563C22×C6112yescomplemented
1240#563C22×C6112yescomplemented
1241#563C22×C6114yescomplemented
1242#562C22×C6114yescomplemented
1243#562C22×C6114yescomplemented
1244#562C22×C6114yescomplemented
1245H(3,𝔽4)C22×C6112yescomplemented
1246#560C22×C6114yescomplemented
1247#560C22×C6112yescomplemented
1248#560C22×C6114yescomplemented
1249#560C22×C6112yescomplemented
1250#559C22×C6111yescharacteristic, complemented
1251#559C22×C6112yescomplemented
1252#559C22×C6112yescomplemented
1253#556C22×C6112yescomplemented
1254#556C22×C6112yescomplemented
1255#556C22×C6112yescomplemented
1256#555C22×C6112yescomplemented
1257#555C22×C6112yescomplemented
1258#555C22×C6114yescomplemented
1259#554C22×C6112yescomplemented
1260#554C22×C6114yescomplemented
1261#554C22×C6112yescomplemented
1262#553C22×C6112yescomplemented
1263#553C22×C6112yescomplemented
1264#553C22×C6114yescomplemented
1265#553C22×C6114yescomplemented
1266#553C22×C6114yescomplemented
1267#553C22×C6112yescomplemented
1268#553C22×C6112yescomplemented
1269#553C22×C6114yescomplemented
1270#553C22×C6114yescomplemented
1271#553C22×C6114yescomplemented
1272#552C22×C6112yescomplemented
1273#552C22×C6112yescomplemented
1274#552C22×C6112yescomplemented
1275#552C22×C6112yescomplemented
1276#552C22×C6114yescomplemented
1277#552C22×C6114yescomplemented
1278#551C22×C6111yescharacteristic, complemented
1279#551C22×C6114yescomplemented
1280#551C22×C6112yescomplemented
1281#551C22×C6112yescomplemented
1282#551C22×C6114yescomplemented
1283#551C22×C6114yescomplemented
1284#551C22×C6114yescomplemented
1285#551C22×C6114yescomplemented
1286#551C22×C6114yescomplemented
1287#551C22×C6114yescomplemented
1288#551C22×C6112yescomplemented
1289#551C22×C6114yescomplemented
1290#551C22×C6114yescomplemented
1291#551C22×C6114yescomplemented
1292#551C22×C6114yescomplemented
1293#551C22×C6112yescomplemented
1294#551C22×C6112yescomplemented
1295#551C22×C6114yescomplemented
1296#551C22×C6114yescomplemented
1297#551C22×C6114yescomplemented
1298#551C22×C6111yescharacteristic, complemented
1299#551C22×C6114yescomplemented
1300#551C22×C6114yescomplemented
1301#550C22×C6112yescomplemented
1302D4×Q8C22×C6112yescomplemented
1303D4×Q8C22×C6112yescomplemented
1304D4×Q8C22×C6112yescomplemented
1305#548C22×C6112yescomplemented
1306#548C22×C6112yescomplemented
1307#548C22×C6112yescomplemented
1308#548C22×C6112yescomplemented
1309#548C22×C6112yescomplemented
1310#548C22×C6112yescomplemented
1311#547C22×C6112yescomplemented
1312#547C22×C6112yescomplemented
1313#547C22×C6112yescomplemented
1314#547C22×C6112yescomplemented
1315#547C22×C6114yescomplemented
1316#547C22×C6114yescomplemented
1317#547C22×C6114yescomplemented
1318#547C22×C6114yescomplemented
1319#546C22×C6112yescomplemented
1320#546C22×C6112yescomplemented
1321#546C22×C6112yescomplemented
1322#546C22×C6114yescomplemented
1323#546C22×C6112yescomplemented
1324#546C22×C6112yescomplemented
1325#546C22×C6114yescomplemented
1326#546C22×C6114yescomplemented
1327#546C22×C6112yescomplemented
1328#546C22×C6112yescomplemented
1329#546C22×C6114yescomplemented
1330#546C22×C6112yescomplemented
1331#546C22×C6112yescomplemented
1332#546C22×C6112yescomplemented
1333#546C22×C6114yescomplemented
1334#546C22×C6112yescomplemented
1335#546C22×C6114yescomplemented
1336#546C22×C6114yescomplemented
1337#546C22×C6114yescomplemented
1338#546C22×C6114yescomplemented
1339#546C22×C6112yescomplemented
1340#546C22×C6114yescomplemented
1341#546C22×C6114yescomplemented
1342#546C22×C6114yescomplemented
1343#546C22×C6114yescomplemented
1344#546C22×C6114yescomplemented
1345#546C22×C6112yescomplemented
1346#546C22×C6114yescomplemented
1347#546C22×C6114yescomplemented
1348#546C22×C6112yescomplemented
1349D42C22×C6112yescomplemented
1350D42C22×C6111yescharacteristic, complemented
1351D42C22×C6114yescomplemented
1352D42C22×C6112yescomplemented
1353D42C22×C6114yescomplemented
1354#544C22×C6114yescomplemented
1355#543C22×C6114yescomplemented
1356#542C22×C6114yescomplemented
1357#542C22×C6112yescomplemented
1358#542C22×C6112yescomplemented
1359#542C22×C6114yescomplemented
1360#542C22×C6114yescomplemented
1361#542C22×C6114yescomplemented
1362#542C22×C6114yescomplemented
1363#541C22×C6112yescomplemented
1364#540C22×C6112yescomplemented
1365#540C22×C6114yescomplemented
1366#540C22×C6114yescomplemented
1367#540C22×C6114yescomplemented
1368#539C22×C6114yescomplemented
1369#539C22×C6114yescomplemented
1370#539C22×C6114yescomplemented
1371#539C22×C6114yescomplemented
1372#539C22×C6114yescomplemented
1373#539C22×C6114yescomplemented
1374#539C22×C6114yescomplemented
1375#538C22×C6114yescomplemented
1376#538C22×C6114yescomplemented
1377#538C22×C6114yescomplemented
1378#538C22×C6114yescomplemented
1379#538C22×C6114yescomplemented
1380#538C22×C6114yescomplemented
1381#538C22×C6114yescomplemented
1382#538C22×C6114yescomplemented
1383#538C22×C6114yescomplemented
1384#538C22×C6114yescomplemented
1385#538C22×C6114yescomplemented
1386#537C22×C6114yescomplemented
1387#537C22×C6112yescomplemented
1388#536C22×C6111yescharacteristic, complemented
1389#536C22×C6111yescharacteristic, complemented
1390#536C22×C6114yescomplemented
1391#536C22×C6112yescomplemented
1392#536C22×C6111yescharacteristic, complemented
1393#536C22×C6112yescomplemented
1394#535C22×C6111yescharacteristic, complemented
1395#535C22×C6111yescharacteristic, complemented
1396#535C22×C6114yescomplemented
1397#535C22×C6112yescomplemented
1398#535C22×C6111yescharacteristic, complemented
1399#534C22×C6112yescomplemented
1400#534C22×C6112yescomplemented
1401#534C22×C6114yescomplemented
1402#534C22×C6114yescomplemented
1403#534C22×C6112yescomplemented
1404#534C22×C6112yescomplemented
1405#533C22×C6112yescomplemented
1406#532C22×C6111yescharacteristic, complemented
1407#532C22×C6114yescomplemented
1408#532C22×C6112yescomplemented
1409#532C22×C6112yescomplemented
1410#529C22×C6112yescomplemented
1411#529C22×C6112yescomplemented
1412#529C22×C6112yescomplemented
1413#529C22×C6114yescomplemented
1414#529C22×C6114yescomplemented
1415#529C22×C6114yescomplemented
1416#529C22×C6112yescomplemented
1417#529C22×C6112yescomplemented
1418#529C22×C6112yescomplemented
1419C2×#126C22×C6114yescomplemented
1420C2×#124C22×C6112yescomplemented
1421C2×#124C22×C6112yescomplemented
1422C2×#124C22×C6111yescharacteristic, complemented
1423#525C22×C6111yescharacteristic
1424#525C22×C6111yescharacteristic, complemented
1425#525C22×C6114yescomplemented
1426#525C22×C6114yescomplemented
1427#525C22×C6114yescomplemented
1428#525C22×C6112yescomplemented
1429#525C22×C6112yescomplemented
1430#525C22×C6114yescomplemented
1431#525C22×C6111yescharacteristic, complemented
1432#525C22×C6114yescomplemented
1433#525C22×C6112yescomplemented
1434#525C22×C6111yescharacteristic, complemented
1435C2×#123C22×C6114yescomplemented
1436C2×#123C22×C6112yescomplemented
1437C2×#123C22×C6114yescomplemented
1438C2×#123C22×C6112yescomplemented
1439C2×C22⋊Q8C22×C6112yescomplemented
1440C2×C22⋊Q8C22×C6114yescomplemented
1441C2×C22⋊Q8C22×C6112yescomplemented
1442C2×#121C22×C6114yescomplemented
1443C2×#121C22×C6112yescomplemented
1444C2×#120C22×C6112yes—
1445C2×#120C22×C6114yescomplemented
1446C2×#120C22×C6112yescomplemented
1447#520C22×C6114yescomplemented
1448#520C22×C6112yescomplemented
1449#518C22×C6111yescharacteristic, complemented
1450#518C22×C6114yescomplemented
1451#518C22×C6114yescomplemented
1452#518C22×C6111yescharacteristic, complemented
1453C4×#41C22×C6112yescomplemented
1454C4×#41C22×C6112yescomplemented
1455C4×#41C22×C6111yescharacteristic, complemented
1456C2×C4×D4C22×C6112yescomplemented
1457C2×C4×D4C22×C6112yescomplemented
1458C2×C4×D4C22×C6114yescomplemented
1459C2×C4×D4C22×C6112yescomplemented
1460C2×#117C22×C6114yescomplemented
1461C22×C22⋊C4C22×C6114yescomplemented
1462C61#6301711yescharacteristic, direct product factor, Sylow
1463C25C23×C6112yes—
14642−1+4—44no—
1465H(5,𝔽2)—44no—
1466C2×#41—48no—
1467C2×#41—44no—
1468C2×#41C23×C6112yes—
1469C2×#41C23×C6111yescharacteristic
1470C2×#41C23×C6112yes—
1471C2×#41C23×C6112yes—
1472C2×#41C23×C6114yes—
1473C2×#41C23×C6111yescharacteristic
1474C2×#41C23×C6114yes—
1475C2×#41C23×C6112yes—
1476C2×#41C23×C6111yescharacteristic
1477C2×#41C23×C6111yescharacteristic
1478C2×#41C23×C6112yes—
1479C2×#41C23×C6114yes—
1480C2×#41C23×C6112yes—
1481C2×#41C23×C6111yescharacteristic, complemented
1482C2×#41C23×C6114yescomplemented
1483C2×#41C23×C6112yescomplemented
1484C2×#41C23×C6114yescomplemented
1485C2×#41C23×C6112yescomplemented
1486C22×Q8C23×C6112yes—
1487C22×Q8C23×C6112yescomplemented
1488C22×Q8C23×C6112yescomplemented
1489C22×Q8C23×C6111yescharacteristic, complemented
1490C22×Q8C23×C6111yescharacteristic, complemented
1491C22×D4—44no—
1492C22×D4C23×C6112yes—
1493C22×D4C23×C6111yescharacteristic
1494C22×D4C23×C6111yescharacteristic
1495C22×D4C23×C6114yes—
1496C22×D4C23×C6112yes—
1497C22×D4C23×C6112yes—
1498C22×D4C23×C6114yes—
1499C22×D4C23×C6114yes—
1500C22×D4C23×C6112yes—
1501C22×D4C23×C6114yes—
1502C22×D4C23×C6112yes—
1503C22×D4C23×C6114yes—
1504C22×D4C23×C6112yes—
1505C22×D4C23×C6112yes—
1506C22×D4C23×C6111yescharacteristic
1507C22×D4C23×C6112yes—
1508C22×D4C23×C6111yescharacteristic
1509C22×D4C23×C6112yescomplemented
1510C23×C4C23×C6114yes—
1511C23×C4C23×C6114yes—
1512C23×C4C23×C6112yes—
1513C23×C4C23×C6111yescharacteristic
1514C23×C4C23×C6112yescomplemented
1515C23×C4C23×C6111yescharacteristic, complemented
1516C4⋊Q8C23×C6112yescomplemented
1517C4⋊Q8C23×C6111yescharacteristic, complemented
1518C4⋊Q8C23×C6112yescomplemented
1519C4⋊Q8C23×C6114yescomplemented
1520C4⋊Q8C23×C6112yescomplemented
1521C4⋊Q8C23×C6112yescomplemented
1522C4⋊Q8C23×C6114yescomplemented
1523C4⋊Q8C23×C6114yescomplemented
1524C4⋊Q8C23×C6112yescomplemented
1525#127C23×C6111yescharacteristic
1526#127C23×C6112yes—
1527#127C23×C6112yes—
1528#127C23×C6112yescomplemented
1529#127C23×C6114yescomplemented
1530#126C23×C6112yes—
1531#126C23×C6114yes—
1532#126C23×C6114yes—
1533#126C23×C6114yes—
1534#126C23×C6114yes—
1535#126C23×C6114yescomplemented
1536#126C23×C6114yescomplemented
1537#126C23×C6114yescomplemented
1538#126C23×C6114yescomplemented
1539#126C23×C6112yescomplemented
1540#126C23×C6114yescomplemented
1541#126C23×C6114yescomplemented
1542#126C23×C6114yescomplemented
1543#126C23×C6114yescomplemented
1544#126C23×C6114yescomplemented
1545#126C23×C6114yescomplemented
1546#126C23×C6114yescomplemented
1547#126C23×C6112yescomplemented
1548#126C23×C6112yescomplemented
1549#126C23×C6114yescomplemented
1550#126C23×C6114yescomplemented
1551#126C23×C6114yescomplemented
1552#126C23×C6114yescomplemented
1553#126C23×C6114yescomplemented
1554#125C23×C6112yescomplemented
1555#125C23×C6114yescomplemented
1556#125C23×C6114yescomplemented
1557#125C23×C6112yescomplemented
1558#125C23×C6112yescomplemented
1559#125C23×C6112yescomplemented
1560#125C23×C6114yescomplemented
1561#125C23×C6114yescomplemented
1562#125C23×C6114yescomplemented
1563#125C23×C6114yescomplemented
1564#125C23×C6114yescomplemented
1565#124C23×C6112yes—
1566#124C23×C6111yescharacteristic
1567#124C23×C6112yes—
1568#124C23×C6112yes—
1569#124C23×C6112yes—
1570#124C23×C6112yes—
1571#124C23×C6114yes—
1572#124C23×C6114yes—
1573#124C23×C6114yes—
1574#124C23×C6112yes—
1575#124C23×C6112yes—
1576#124C23×C6112yes—
1577#124C23×C6112yes—
1578#124C23×C6114yes—
1579#124C23×C6112yescomplemented
1580#124C23×C6112yescomplemented
1581#124C23×C6112yescomplemented
1582#124C23×C6112yescomplemented
1583#124C23×C6114yescomplemented
1584#124C23×C6114yescomplemented
1585#124C23×C6114yescomplemented
1586#124C23×C6114yescomplemented
1587#124C23×C6112yescomplemented
1588#124C23×C6111yescharacteristic, complemented
1589#124C23×C6114yescomplemented
1590#124C23×C6114yescomplemented
1591#124C23×C6114yescomplemented
1592#124C23×C6114yescomplemented
1593#124C23×C6114yescomplemented
1594#124C23×C6114yescomplemented
1595#123C23×C6111yescharacteristic
1596#123C23×C6114yes—
1597#123C23×C6112yes—
1598#123C23×C6114yes—
1599#123C23×C6114yes—
1600#123C23×C6112yes—
1601#123C23×C6114yes—
1602#123C23×C6114yes—
1603#123C23×C6114yes—
1604#123C23×C6114yes—
1605#123C23×C6114yes—
1606#123C23×C6114yes—
1607#123C23×C6114yes—
1608#123C23×C6114yes—
1609#123C23×C6114yes—
1610#123C23×C6111yescharacteristic
1611#123C23×C6111yescharacteristic
1612#123C23×C6112yes—
1613#123C23×C6112yes—
1614#123C23×C6114yes—
1615#123C23×C6114yes—
1616#123C23×C6114yes—
1617#123C23×C6112yes—
1618#123C23×C6114yes—
1619#123C23×C6112yes—
1620#123C23×C6114yes—
1621#123C23×C6112yescomplemented
1622#123C23×C6111yescharacteristic, complemented
1623#123C23×C6114yescomplemented
1624#123C23×C6112yescomplemented
1625#123C23×C6112yescomplemented
1626#123C23×C6112yescomplemented
1627#123C23×C6114yescomplemented
1628#123C23×C6114yescomplemented
1629#123C23×C6114yescomplemented
1630#123C23×C6114yescomplemented
1631#123C23×C6114yescomplemented
1632#123C23×C6114yescomplemented
1633#123C23×C6114yescomplemented
1634#123C23×C6114yescomplemented
1635#123C23×C6112yescomplemented
1636#123C23×C6114yescomplemented
1637#123C23×C6114yescomplemented
1638#123C23×C6112yescomplemented
1639#123C23×C6114yescomplemented
1640#123C23×C6114yescomplemented
1641#123C23×C6114yescomplemented
1642#123C23×C6114yescomplemented
1643#123C23×C6112yescomplemented
1644#123C23×C6114yescomplemented
1645#123C23×C6114yescomplemented
1646#123C23×C6114yescomplemented
1647#123C23×C6114yescomplemented
1648#123C23×C6114yescomplemented
1649#123C23×C6112yescomplemented
1650#123C23×C6114yescomplemented
1651#123C23×C6114yescomplemented
1652#123C23×C6114yescomplemented
1653C22⋊Q8C23×C6112yes—
1654C22⋊Q8C23×C6114yes—
1655C22⋊Q8C23×C6112yes—
1656C22⋊Q8C23×C6112yes—
1657C22⋊Q8C23×C6112yes—
1658C22⋊Q8C23×C6112yes—
1659C22⋊Q8C23×C6112yes—
1660C22⋊Q8C23×C6114yes—
1661C22⋊Q8C23×C6114yes—
1662C22⋊Q8C23×C6114yes—
1663C22⋊Q8C23×C6114yes—
1664C22⋊Q8C23×C6112yes—
1665C22⋊Q8C23×C6114yes—
1666C22⋊Q8C23×C6112yes—
1667C22⋊Q8C23×C6114yes—
1668C22⋊Q8C23×C6112yescomplemented
1669C22⋊Q8C23×C6112yescomplemented
1670C22⋊Q8C23×C6114yescomplemented
1671C22⋊Q8C23×C6114yescomplemented
1672C22⋊Q8C23×C6114yescomplemented
1673C22⋊Q8C23×C6114yescomplemented
1674C22⋊Q8C23×C6114yescomplemented
1675C22⋊Q8C23×C6114yescomplemented
1676C22⋊Q8C23×C6114yescomplemented
1677C22⋊Q8C23×C6112yescomplemented
1678C22⋊Q8C23×C6112yescomplemented
1679C22⋊Q8C23×C6112yescomplemented
1680C22⋊Q8C23×C6114yescomplemented
1681C22⋊Q8C23×C6114yescomplemented
1682C22⋊Q8C23×C6114yescomplemented
1683C22⋊Q8C23×C6114yescomplemented
1684C22⋊Q8C23×C6114yescomplemented
1685C22⋊Q8C23×C6114yescomplemented
1686C22⋊Q8C23×C6112yescomplemented
1687C22⋊Q8C23×C6112yescomplemented
1688C22⋊Q8C23×C6114yescomplemented
1689C22⋊Q8C23×C6112yescomplemented
1690C22⋊Q8C23×C6114yescomplemented
1691C22⋊Q8C23×C6114yescomplemented
1692C22⋊Q8C23×C6114yescomplemented
1693C22⋊Q8C23×C6114yescomplemented
1694C22⋊Q8C23×C6114yescomplemented
1695C22⋊Q8C23×C6114yescomplemented
1696C22⋊Q8C23×C6114yescomplemented
1697C22⋊Q8C23×C6114yescomplemented
1698#121C23×C6112yes—
1699#121C23×C6112yes—
1700#121C23×C6114yes—
1701#121C23×C6114yes—
1702#121C23×C6114yes—
1703#121C23×C6112yes—
1704#121C23×C6114yes—
1705#121C23×C6112yes—
1706#121C23×C6114yes—
1707#121C23×C6114yes—
1708#121C23×C6114yes—
1709#121C23×C6114yes—
1710#121C23×C6114yes—
1711#121C23×C6114yes—
1712#121C23×C6112yes—
1713#121C23×C6112yes—
1714#121C23×C6112yes—
1715#121C23×C6112yes—
1716#121C23×C6112yes—
1717#121C23×C6114yes—
1718#121C23×C6114yes—
1719#121C23×C6112yes—
1720#121C23×C6112yes—
1721#121C23×C6112yes—
1722#121C23×C6114yes—
1723#121C23×C6112yes—
1724#121C23×C6114yes—
1725#121C23×C6114yes—
1726#121C23×C6114yes—
1727#121C23×C6114yes—
1728#121C23×C6114yes—
1729#121C23×C6114yescomplemented
1730#121C23×C6114yescomplemented
1731#121C23×C6114yescomplemented
1732#121C23×C6114yescomplemented
1733#121C23×C6114yescomplemented
1734#121C23×C6114yescomplemented
1735#121C23×C6112yescomplemented
1736#121C23×C6112yescomplemented
1737#121C23×C6114yescomplemented
1738#121C23×C6114yescomplemented
1739#121C23×C6114yescomplemented
1740#121C23×C6114yescomplemented
1741#121C23×C6114yescomplemented
1742#121C23×C6112yescomplemented
1743#121C23×C6114yescomplemented
1744#121C23×C6114yescomplemented
1745#121C23×C6114yescomplemented
1746#121C23×C6114yescomplemented
1747#121C23×C6114yescomplemented
1748#121C23×C6114yescomplemented
1749#121C23×C6114yescomplemented
1750#121C23×C6114yescomplemented
1751#121C23×C6114yescomplemented
1752#120C23×C6111yescharacteristic
1753#120C23×C6112yes—
1754#120C23×C6112yes—
1755#120C23×C6112yes—
1756#120C23×C6114yes—
1757#120C23×C6114yes—
1758#120C23×C6111yescharacteristic
1759#120C23×C6114yes—
1760#120C23×C6114yes—
1761#120C23×C6114yes—
1762#120C23×C6114yes—
1763#120C23×C6112yes—
1764#120C23×C6112yes—
1765#120C23×C6114yes—
1766#120C23×C6114yes—
1767#120C23×C6114yes—
1768#120C23×C6114yes—
1769#120C23×C6114yes—
1770#120C23×C6114yes—
1771#120C23×C6111yescharacteristic
1772#120C23×C6112yes—
1773#120C23×C6114yes—
1774#120C23×C6114yes—
1775#120C23×C6112yes—
1776#120C23×C6114yes—
1777#120C23×C6112yescomplemented
1778#120C23×C6111yescharacteristic, complemented
1779#120C23×C6114yescomplemented
1780#120C23×C6114yescomplemented
1781#120C23×C6114yescomplemented
1782#120C23×C6114yescomplemented
1783C4×Q8C23×C6112yescomplemented
1784C4×Q8C23×C6112yescomplemented
1785C4×Q8C23×C6112yescomplemented
1786C4×Q8C23×C6112yescomplemented
1787C4×Q8C23×C6112yescomplemented
1788C4×Q8C23×C6114yescomplemented
1789C4×Q8C23×C6112yescomplemented
1790C4×Q8C23×C6112yescomplemented
1791C4×Q8C23×C6114yescomplemented
1792C4×D4C23×C6112yes—
1793C4×D4C23×C6112yes—
1794C4×D4C23×C6112yes—
1795C4×D4C23×C6112yes—
1796C4×D4C23×C6114yes—
1797C4×D4C23×C6112yes—
1798C4×D4C23×C6112yes—
1799C4×D4C23×C6114yes—
1800C4×D4C23×C6112yes—
1801C4×D4C23×C6112yes—
1802C4×D4C23×C6112yes—
1803C4×D4C23×C6114yes—
1804C4×D4C23×C6112yes—
1805C4×D4C23×C6112yes—
1806C4×D4C23×C6114yes—
1807C4×D4C23×C6114yes—
1808C4×D4C23×C6112yes—
1809C4×D4C23×C6112yes—
1810C4×D4C23×C6112yes—
1811C4×D4C23×C6112yes—
1812C4×D4C23×C6112yes—
1813C4×D4C23×C6112yes—
1814C4×D4C23×C6112yes—
1815C4×D4C23×C6112yes—
1816C4×D4C23×C6114yes—
1817C4×D4C23×C6114yes—
1818C4×D4C23×C6114yes—
1819C4×D4C23×C6112yes—
1820C4×D4C23×C6114yes—
1821C4×D4C23×C6114yes—
1822C4×D4C23×C6114yescomplemented
1823C4×D4C23×C6112yescomplemented
1824C4×D4C23×C6112yescomplemented
1825C4×D4C23×C6112yescomplemented
1826C4×D4C23×C6114yescomplemented
1827C4×D4C23×C6112yescomplemented
1828C4×D4C23×C6114yescomplemented
1829C4×D4C23×C6114yescomplemented
1830C4×D4C23×C6112yescomplemented
1831C4×D4C23×C6114yescomplemented
1832C4×D4C23×C6114yescomplemented
1833C4×D4C23×C6112yescomplemented
1834C4×D4C23×C6114yescomplemented
1835C4×D4C23×C6114yescomplemented
1836C4×D4C23×C6114yescomplemented
1837C4×D4C23×C6114yescomplemented
1838C4×D4C23×C6114yescomplemented
1839C4×D4C23×C6114yescomplemented
1840C4×D4C23×C6114yescomplemented
1841C4×D4C23×C6114yescomplemented
1842C4×D4C23×C6114yescomplemented
1843C4×D4C23×C6114yescomplemented
1844C4×D4C23×C6114yescomplemented
1845C4×D4C23×C6114yescomplemented
1846C4×D4C23×C6112yescomplemented
1847C4×D4C23×C6114yescomplemented
1848C4×D4C23×C6114yescomplemented
1849C4×D4C23×C6114yescomplemented
1850C4×D4C23×C6114yescomplemented
1851C4×D4C23×C6114yescomplemented
1852C4×D4C23×C6114yescomplemented
1853#117C23×C6112yes—
1854#117C23×C6114yes—
1855#117C23×C6114yes—
1856#117C23×C6114yes—
1857#117C23×C6111yescharacteristic
1858#117C23×C6111yescharacteristic
1859#117C23×C6114yes—
1860#117C23×C6114yescomplemented
1861#117C23×C6114yescomplemented
1862#117C23×C6114yescomplemented
1863#117C23×C6114yescomplemented
1864#117C23×C6114yescomplemented
1865#117C23×C6112yescomplemented
1866#117C23×C6112yescomplemented
1867#117C23×C6112yescomplemented
1868#117C23×C6112yescomplemented
1869#117C23×C6111yescharacteristic, complemented
1870#117C23×C6111yescharacteristic, complemented
1871#117C23×C6111yescharacteristic, complemented
1872#117C23×C6114yescomplemented
1873#117C23×C6114yescomplemented
1874#117C23×C6112yescomplemented
1875#117C23×C6114yescomplemented
1876#117C23×C6114yescomplemented
1877#117C23×C6114yescomplemented
1878C2×C4⋊C4C23×C6112yes—
1879C2×C4⋊C4C23×C6112yes—
1880C2×C4⋊C4C23×C6114yes—
1881C2×C4⋊C4C23×C6114yescomplemented
1882C2×C4⋊C4C23×C6114yescomplemented
1883C2×C4⋊C4C23×C6114yescomplemented
1884C2×C4⋊C4C23×C6112yescomplemented
1885C2×C4⋊C4C23×C6114yescomplemented
1886C2×C4⋊C4C23×C6112yescomplemented
1887C2×C4⋊C4C23×C6114yescomplemented
1888C2×C4⋊C4C23×C6114yescomplemented
1889C2×C22⋊C4C23×C6112yes—
1890C2×C22⋊C4C23×C6114yes—
1891C2×C22⋊C4C23×C6114yes—
1892C2×C22⋊C4C23×C6114yes—
1893C2×C22⋊C4C23×C6114yes—
1894C2×C22⋊C4C23×C6114yes—
1895C2×C22⋊C4C23×C6114yes—
1896C2×C22⋊C4C23×C6114yes—
1897C2×C22⋊C4C23×C6114yes—
1898C2×C22⋊C4C23×C6114yes—
1899C2×C22⋊C4C23×C6114yes—
1900C2×C22⋊C4C23×C6114yes—
1901C2×C22⋊C4C23×C6114yes—
1902C2×C22⋊C4C23×C6112yes—
1903C2×C22⋊C4C23×C6114yes—
1904C2×C22⋊C4C23×C6112yes—
1905C2×C22⋊C4C23×C6112yes—
1906C2×C22⋊C4C23×C6114yes—
1907C2×C22⋊C4C23×C6112yes—
1908C2×C22⋊C4C23×C6114yes—
1909C2×C22⋊C4C23×C6114yes—
1910C2×C22⋊C4C23×C6114yescomplemented
1911C2×C22⋊C4C23×C6112yescomplemented
1912C2×C22⋊C4C23×C6112yescomplemented
1913C2×C22⋊C4C23×C6112yescomplemented
1914C2×C22⋊C4C23×C6114yescomplemented
1915C2×C22⋊C4C23×C6114yescomplemented
1916C2×C42C23×C6112yes—
1917C2×C42C23×C6112yescomplemented
1918C2×C42C23×C6114yescomplemented
1919C2×C42C23×C6112yescomplemented
1920C2×C42C23×C6111yescharacteristic, complemented
1921C24—44no—
1922C24—48no—
1923C24C24×C6111yescharacteristic
1924C24C24×C6114yes—
1925C24C24×C6112yes—
1926C24C24×C6114yes—
1927C24C24×C6112yes—
1928C24C24×C6112yes—
1929C24C24×C6112yes—
1930C24C24×C6112yes—
1931C24C24×C6111yescharacteristic
1932#41—28no—
1933#41—28no—
1934#41—24no—
1935#41—42no—
1936#41—42no—
1937#41—48no—
1938#41—48no—
1939#41—48no—
1940#41—44no—
1941#41—44no—
1942#41—48no—
1943#41—48no—
1944#41—44no—
1945#41—44no—
1946#41—44no—
1947#41—44no—
1948#41—42no—
1949#41—42no—
1950C2×Q8—44no—
1951C2×Q8—44no—
1952C2×Q8—42no—
1953C2×Q8—44no—
1954C2×Q8—42no—
1955C2×Q8C24×C6112yes—
1956C2×Q8C24×C6112yes—
1957C2×Q8C24×C6111yescharacteristic
1958C2×Q8C24×C6112yes—
1959C2×Q8C24×C6114yes—
1960C2×Q8C24×C6111yescharacteristic
1961C2×Q8C24×C6114yes—
1962C2×Q8C24×C6114yes—
1963C2×Q8C24×C6112yes—
1964C2×Q8C24×C6111yescharacteristic
1965C2×Q8C24×C6112yes—
1966C2×D4—28no—
1967C2×D4—24no—
1968C2×D4—24no—
1969C2×D4—44no—
1970C2×D4—42no—
1971C2×D4—42no—
1972C2×D4—44no—
1973C2×D4—48no—
1974C2×D4—48no—
1975C2×D4—44no—
1976C2×D4—48no—
1977C2×D4—44no—
1978C2×D4—44no—
1979C2×D4—48no—
1980C2×D4—44no—
1981C2×D4—48no—
1982C2×D4—44no—
1983C2×D4—44no—
1984C2×D4C24×C6112yes—
1985C2×D4C24×C6112yes—
1986C2×D4C24×C6114yes—
1987C2×D4C24×C6112yes—
1988C2×D4C24×C6112yes—
1989C2×D4C24×C6114yes—
1990C2×D4C24×C6112yes—
1991C2×D4C24×C6111yescharacteristic
1992C2×D4C24×C6112yes—
1993C2×D4C24×C6114yes—
1994C2×D4C24×C6112yes—
1995C2×D4C24×C6112yes—
1996C2×D4C24×C6114yes—
1997C2×D4C24×C6111yescharacteristic
1998C2×D4C24×C6112yes—
1999C2×D4C24×C6112yes—
2000C2×D4C24×C6114yes—
2001C2×D4C24×C6114yes—
2002C2×D4C24×C6114yes—
2003C2×D4C24×C6114yes—
2004C2×D4C24×C6114yes—
2005C2×D4C24×C6114yes—
2006C2×D4C24×C6114yes—
2007C2×D4C24×C6114yes—
2008C2×D4C24×C6112yes—
2009C2×D4C24×C6114yes—
2010C2×D4C24×C6112yes—
2011C2×D4C24×C6112yes—
2012C2×D4C24×C6111yescharacteristic
2013C2×D4C24×C6112yes—
2014C2×D4C24×C6111yescharacteristic
2015C2×D4C24×C6114yes—
2016C2×D4C24×C6112yes—
2017C2×D4C24×C6114yes—
2018C2×D4C24×C6112yes—
2019C2×D4C24×C6111yescharacteristic
2020C2×D4C24×C6112yes—
2021C2×D4C24×C6114yes—
2022C2×D4C24×C6114yes—
2023C2×D4C24×C6111yescharacteristic
2024C2×D4C24×C6112yes—
2025C2×D4C24×C6111yescharacteristic
2026C22×C4—42no—
2027C22×C4—44no—
2028C22×C4—42no—
2029C22×C4—48no—
2030C22×C4—48no—
2031C22×C4—44no—
2032C22×C4C24×C6112yes—
2033C22×C4C24×C6112yes—
2034C22×C4C24×C6114yes—
2035C22×C4C24×C6112yes—
2036C22×C4C24×C6112yes—
2037C22×C4C24×C6111yescharacteristic
2038C22×C4C24×C6114yes—
2039C22×C4C24×C6114yes—
2040C22×C4C24×C6112yes—
2041C22×C4C24×C6111yescharacteristic
2042C22×C4C24×C6111yescharacteristic
2043C22×C4C24×C6112yes—
2044C22×C4C24×C6114yes—
2045C22×C4C24×C6114yes—
2046C22×C4C24×C6112yes—
2047C22×C4C24×C6112yes—
2048C22×C4C24×C6112yes—
2049C22×C4C24×C6112yes—
2050C22×C4C24×C6114yes—
2051C22×C4C24×C6114yes—
2052C22×C4C24×C6114yes—
2053C22×C4C24×C6114yes—
2054C22×C4C24×C6114yes—
2055C22×C4C24×C6114yes—
2056C22×C4C24×C6112yes—
2057C22×C4C24×C6114yes—
2058C22×C4C24×C6112yes—
2059C22×C4C24×C6114yes—
2060C22×C4C24×C6112yes—
2061C22×C4C24×C6114yes—
2062C22×C4C24×C6114yes—
2063C22×C4C24×C6112yes—
2064C22×C4C24×C6114yes—
2065C22×C4C24×C6112yes—
2066C22×C4C24×C6112yes—
2067C22×C4C24×C6112yes—
2068C22×C4C24×C6111yescharacteristic
2069C22×C4C24×C6111yescharacteristic
2070C22×C4C24×C6112yes—
2071C4⋊C4C24×C6112yes—
2072C4⋊C4C24×C6112yes—
2073C4⋊C4C24×C6112yes—
2074C4⋊C4C24×C6114yes—
2075C4⋊C4C24×C6114yes—
2076C4⋊C4C24×C6112yes—
2077C4⋊C4C24×C6114yes—
2078C4⋊C4C24×C6112yes—
2079C4⋊C4C24×C6112yes—
2080C4⋊C4C24×C6114yes—
2081C4⋊C4C24×C6114yes—
2082C4⋊C4C24×C6114yes—
2083C4⋊C4C24×C6112yes—
2084C4⋊C4C24×C6112yes—
2085C4⋊C4C24×C6112yes—
2086C4⋊C4C24×C6114yes—
2087C4⋊C4C24×C6114yes—
2088C4⋊C4C24×C6112yes—
2089C4⋊C4C24×C6114yes—
2090C4⋊C4C24×C6112yes—
2091C4⋊C4C24×C6114yes—
2092C4⋊C4C24×C6114yes—
2093C4⋊C4C24×C6114yes—
2094C4⋊C4C24×C6114yes—
2095C4⋊C4C24×C6112yes—
2096C4⋊C4C24×C6112yes—
2097C4⋊C4C24×C6114yes—
2098C4⋊C4C24×C6114yes—
2099C4⋊C4C24×C6114yes—
2100C4⋊C4C24×C6114yes—
2101C4⋊C4C24×C6114yes—
2102C4⋊C4C24×C6114yes—
2103C4⋊C4C24×C6112yes—
2104C4⋊C4C24×C6114yes—
2105C4⋊C4C24×C6114yes—
2106C4⋊C4C24×C6112yes—
2107C4⋊C4C24×C6112yes—
2108C4⋊C4C24×C6114yes—
2109C4⋊C4C24×C6114yes—
2110C4⋊C4C24×C6112yes—
2111C4⋊C4C24×C6112yes—
2112C4⋊C4C24×C6112yes—
2113C4⋊C4C24×C6114yes—
2114C4⋊C4C24×C6114yes—
2115C4⋊C4C24×C6114yes—
2116C22⋊C4C24×C6112yes—
2117C22⋊C4C24×C6112yes—
2118C22⋊C4C24×C6112yes—
2119C22⋊C4C24×C6112yes—
2120C22⋊C4C24×C6114yes—
2121C22⋊C4C24×C6114yes—
2122C22⋊C4C24×C6114yes—
2123C22⋊C4C24×C6114yes—
2124C22⋊C4C24×C6114yes—
2125C22⋊C4C24×C6112yes—
2126C22⋊C4C24×C6114yes—
2127C22⋊C4C24×C6114yes—
2128C22⋊C4C24×C6114yes—
2129C22⋊C4C24×C6114yes—
2130C22⋊C4C24×C6114yes—
2131C22⋊C4C24×C6114yes—
2132C22⋊C4C24×C6114yes—
2133C22⋊C4C24×C6114yes—
2134C22⋊C4C24×C6112yes—
2135C22⋊C4C24×C6111yescharacteristic
2136C22⋊C4C24×C6112yes—
2137C22⋊C4C24×C6111yescharacteristic
2138C22⋊C4C24×C6114yes—
2139C22⋊C4C24×C6112yes—
2140C22⋊C4C24×C6114yes—
2141C22⋊C4C24×C6114yes—
2142C22⋊C4C24×C6114yes—
2143C22⋊C4C24×C6114yes—
2144C22⋊C4C24×C6112yes—
2145C22⋊C4C24×C6114yes—
2146C22⋊C4C24×C6114yes—
2147C22⋊C4C24×C6114yes—
2148C22⋊C4C24×C6114yes—
2149C22⋊C4C24×C6114yes—
2150C22⋊C4C24×C6112yes—
2151C22⋊C4C24×C6112yes—
2152C22⋊C4C24×C6112yes—
2153C22⋊C4C24×C6112yes—
2154C22⋊C4C24×C6114yes—
2155C22⋊C4C24×C6114yes—
2156C22⋊C4C24×C6114yes—
2157C22⋊C4C24×C6114yes—
2158C22⋊C4C24×C6114yes—
2159C22⋊C4C24×C6114yes—
2160C22⋊C4C24×C6112yes—
2161C22⋊C4C24×C6112yes—
2162C22⋊C4C24×C6114yes—
2163C22⋊C4C24×C6111yescharacteristic
2164C22⋊C4C24×C6112yes—
2165C22⋊C4C24×C6111yescharacteristic
2166C22⋊C4C24×C6112yes—
2167C22⋊C4C24×C6112yes—
2168C22⋊C4C24×C6114yes—
2169C22⋊C4C24×C6114yes—
2170C22⋊C4C24×C6114yes—
2171C22⋊C4C24×C6114yes—
2172C22⋊C4C24×C6114yes—
2173C22⋊C4C24×C6112yes—
2174C22⋊C4C24×C6114yes—
2175C22⋊C4C24×C6112yes—
2176C22⋊C4C24×C6114yes—
2177C22⋊C4C24×C6114yes—
2178C22⋊C4C24×C6112yes—
2179C22⋊C4C24×C6112yes—
2180C22⋊C4C24×C6112yes—
2181C42C24×C6112yes—
2182C42C24×C6112yes—
2183C42C24×C6112yes—
2184C42C24×C6112yes—
2185C42C24×C6111yescharacteristic
2186C42C24×C6112yes—
2187C42C24×C6112yes—
2188C42C24×C6114yes—
2189C42C24×C6114yes—
2190C42C24×C6114yes—
2191C42C24×C6112yes—
2192C42C24×C6114yes—
2193C42C24×C6112yes—
2194C42C24×C6111yescharacteristic
2195C42C24×C6112yes—
2196C42C24×C6112yes—
2197C42C24×C6114yes—
2198C42C24×C6114yes—
2199C23—28no—
2200C23—28no—
2201C23—24no—
2202C23—24no—
2203C23—24no—
2204C23—24no—
2205C23—28no—
2206C23—41no—
2207C23—44no—
2208C23—42no—
2209C23—41no—
2210C23—44no—
2211C23—42no—
2212C23—44no—
2213C23—42no—
2214C23—42no—
2215C23—44no—
2216C23—44no—
2217C23—44no—
2218C23—42no—
2219C23—44no—
2220C23—816no—
2221C23C25×C6111yescharacteristic
2222C23C25×C6112yes—
2223C23C25×C6111yescharacteristic
2224C23C25×C6114yes—
2225C23C25×C6111yescharacteristic
2226C23C25×C6112yes—
2227C23C25×C6112yes—
2228C23C25×C6112yes—
2229C23C25×C6112yes—
2230C23C25×C6112yes—
2231Q8—24no—
2232Q8—24no—
2233Q8—22no—
2234Q8—41no—
2235Q8—44no—
2236Q8—42no—
2237Q8—44no—
2238Q8—42no—
2239Q8—42no—
2240Q8—44no—
2241Q8—41no—
2242D4—24no—
2243D4—28no—
2244D4—24no—
2245D4—28no—
2246D4—24no—
2247D4—28no—
2248D4—24no—
2249D4—24no—
2250D4—28no—
2251D4—24no—
2252D4—24no—
2253D4—22no—
2254D4—24no—
2255D4—22no—
2256D4—42no—
2257D4—44no—
2258D4—41no—
2259D4—42no—
2260D4—41no—
2261D4—41no—
2262D4—42no—
2263D4—42no—
2264D4—44no—
2265D4—44no—
2266D4—44no—
2267D4—44no—
2268D4—44no—
2269D4—42no—
2270D4—42no—
2271D4—44no—
2272D4—44no—
2273D4—44no—
2274D4—42no—
2275D4—42no—
2276D4—44no—
2277D4—44no—
2278D4—44no—
2279D4—42no—
2280D4—44no—
2281D4—42no—
2282D4—41no—
2283D4H(5,𝔽2)×C6114yes—
2284C2×C4—28no—
2285C2×C4—28no—
2286C2×C4—24no—
2287C2×C4—24no—
2288C2×C4—28no—
2289C2×C4—24no—
2290C2×C4—24no—
2291C2×C4—22no—
2292C2×C4—22no—
2293C2×C4—24no—
2294C2×C4—22no—
2295C2×C4—41no—
2296C2×C4—42no—
2297C2×C4—44no—
2298C2×C4—44no—
2299C2×C4—44no—
2300C2×C4—44no—
2301C2×C4—42no—
2302C2×C4—41no—
2303C2×C4—42no—
2304C2×C4—44no—
2305C2×C4—42no—
2306C2×C4—42no—
2307C2×C4—44no—
2308C2×C4—44no—
2309C2×C4—42no—
2310C2×C4—44no—
2311C2×C4—44no—
2312C2×C4—42no—
2313C2×C4—44no—
2314C2×C4—42no—
2315C2×C4—42no—
2316C2×C4—42no—
2317C2×C4—44no—
2318C2×C4—42no—
2319C2×C4—42no—
2320C2×C4—42no—
2321C2×C4—44no—
2322C2×C4—44no—
2323C2×C4C25×C6112yes—
2324C2×C4C25×C6112yes—
2325C2×C4C25×C6114yes—
2326C2×C4C25×C6112yes—
2327C2×C4C25×C6114yes—
2328C2×C4C25×C6112yes—
2329C2×C4C25×C6112yes—
2330C2×C4C25×C6112yes—
2331C2×C4C25×C6111yescharacteristic
2332C2×C4C25×C6112yes—
2333C2×C4C25×C6114yes—
2334C2×C4C25×C6114yes—
2335C2×C4C25×C6111yescharacteristic
2336C2×C4C25×C6112yes—
2337C2×C4C25×C6114yes—
2338C2×C4C25×C6112yes—
2339C2×C4C25×C6111yescharacteristic
2340C2×C4C25×C6112yes—
2341C2×C4C25×C6111yescharacteristic
2342C22—22no—
2343C22—24no—
2344C22—22no—
2345C22—22no—
2346C22—21no—
2347C22—22no—
2348C22—21no—
2349C22—21no—
2350C22—22no—
2351C22—24no—
2352C22—22no—
2353C22—22no—
2354C22—24no—
2355C22—22no—
2356C22—24no—
2357C22—22no—
2358C22—22no—
2359C22—24no—
2360C22—22no—
2361C22—22no—
2362C22—24no—
2363C22—22no—
2364C22—416no—
2365C22—44no—
2366C22—84no—
2367C22—84no—
2368C22—88no—
2369C22—84no—
2370C22—82no—
2371C22—84no—
2372C22—162no—
2373C22C2×H(5,𝔽2)×C6114yes—
2374C22C61×#58514yes—
2375C22C26×C6111yescharacteristic
2376C4—22no—
2377C4—22no—
2378C4—21no—
2379C4—21no—
2380C4—22no—
2381C4—21no—
2382C4—24no—
2383C4—22no—
2384C4—24no—
2385C4—22no—
2386C4—24no—
2387C4—22no—
2388C4—24no—
2389C4—22no—
2390C4—24no—
2391C4—22no—
2392C4—22no—
2393C4—22no—
2394C4C2×H(5,𝔽2)×C6112yes—
2395C2—24no—
2396C2—24no—
2397C2—41no—
2398C2—44no—
2399C2—42no—
2400C2—41no—
2401C2—42no—
2402C2—42no—
2403C2—42no—
2404C2—41no—
2405C2C22×H(5,𝔽2)×C6111yescharacteristic
2406C2C2×C61×#58512yes—
subgroupG/H
center, socleC22×C61C26
commutator, Frattini, cosocleC22C26×C61
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C61 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C61×#3562C2semidirect
2. C61×#3561C2semidirect
3. C61×#3560C2semidirect
4. C61×#3551C2semidirect
5. C61×#3545C2semidirect
6. C61×#3542C2semidirect
7. C61×#3540C2semidirect
8. C61×#3538C2semidirect
9. C61×#3535C2semidirect
10. C61×#3534C2semidirect
11. C61×#3533C2semidirect
12. C61×#3532C2semidirect
13. C61×#3521C2semidirect
14. C61×#3520C2semidirect
15. C61×#3514C2semidirect
16. C61×#3513C2semidirect
17. C61×#3513C2semidirect
18. C61×#3505C2semidirect
19. C61×#3500C2semidirect
20. C61×#3494C2semidirect
21. C61×#3490C2semidirect
22. C61×#3489C2semidirect
23. C61×#3485C2semidirect
24. C61×#3484C2semidirect
25. C61×#3481C2semidirect
26. C61×#3475C2semidirect
27. C2×C61×#551C2semidirect
28. D4×#41×C61C2semidirect
29. C2×C61×#546C2semidirect
30. C2×2−1+4×C61C22semidirect
31. C2×H(5,𝔽2)×C61C22semidirect
32. C22×#41×C61C22semidirect
33. C22×#41×C61C22semidirect
34. C23×D4×C61C22semidirect
35. C61×#563C22semidirect
36. C61×#563C22semidirect
37. C61×#563C22semidirect
38. C61×#563C22semidirect
39. C61×#562C22semidirect
40. C61×#562C22semidirect
41. C61×#562C22semidirect
42. C61×H(3,𝔽4)C22semidirect
43. C61×#560C22semidirect
44. C61×#560C22semidirect
45. C61×#560C22semidirect
46. C61×#560C22semidirect
47. C61×#559C22semidirect
48. C61×#559C22semidirect
49. C61×#559C22semidirect
50. C61×#556C22semidirect
51. C61×#556C22semidirect
52. C61×#556C22semidirect
53. C61×#555C22semidirect
54. C61×#555C22semidirect
55. C61×#555C22semidirect
56. C61×#554C22semidirect
57. C61×#554C22semidirect
58. C61×#554C22semidirect
59. C61×#553C22semidirect
60. C61×#553C22semidirect
61. C61×#553C22semidirect
62. C61×#553C22semidirect
63. C61×#553C22semidirect
64. C61×#553C22semidirect
65. C61×#553C22semidirect
66. C61×#553C22semidirect
67. C61×#553C22semidirect
68. C61×#553C22semidirect
69. C61×#552C22semidirect
70. C61×#552C22semidirect
71. C61×#552C22semidirect
72. C61×#552C22semidirect
73. C61×#552C22semidirect
74. C61×#552C22semidirect
75. C61×#551C22semidirect
76. C61×#551C22semidirect
77. C61×#551C22semidirect
78. C61×#551C22semidirect
79. C61×#551C22semidirect
80. C61×#551C22semidirect
81. C61×#551C22semidirect
82. C61×#551C22semidirect
83. C61×#551C22semidirect
84. C61×#551C22semidirect
85. C61×#551C22semidirect
86. C61×#551C22semidirect
87. C61×#551C22semidirect
88. C61×#551C22semidirect
89. C61×#551C22semidirect
90. C61×#551C22semidirect
91. C61×#551C22semidirect
92. C61×#551C22semidirect
93. C61×#551C22semidirect
94. C61×#551C22semidirect
95. C61×#551C22semidirect
96. C61×#551C22semidirect
97. C61×#551C22semidirect
98. C61×#550C22semidirect
99. D4×Q8×C61C22semidirect
100. D4×Q8×C61C22semidirect
101. D4×Q8×C61C22semidirect
102. C61×#548C22semidirect
103. C61×#548C22semidirect
104. C61×#548C22semidirect
105. C61×#548C22semidirect
106. C61×#548C22semidirect
107. C61×#548C22semidirect
108. C61×#547C22semidirect
109. C61×#547C22semidirect
110. C61×#547C22semidirect
111. C61×#547C22semidirect
112. C61×#547C22semidirect
113. C61×#547C22semidirect
114. C61×#547C22semidirect
115. C61×#547C22semidirect
116. C61×#546C22semidirect
117. C61×#546C22semidirect
118. C61×#546C22semidirect
119. C61×#546C22semidirect
120. C61×#546C22semidirect
121. C61×#546C22semidirect
122. C61×#546C22semidirect
123. C61×#546C22semidirect
124. C61×#546C22semidirect
125. C61×#546C22semidirect
126. C61×#546C22semidirect
127. C61×#546C22semidirect
128. C61×#546C22semidirect
129. C61×#546C22semidirect
130. C61×#546C22semidirect
131. C61×#546C22semidirect
132. C61×#546C22semidirect
133. C61×#546C22semidirect
134. C61×#546C22semidirect
135. C61×#546C22semidirect
136. C61×#546C22semidirect
137. C61×#546C22semidirect
138. C61×#546C22semidirect
139. C61×#546C22semidirect
140. C61×#546C22semidirect
141. C61×#546C22semidirect
142. C61×#546C22semidirect
143. C61×#546C22semidirect
144. C61×#546C22semidirect
145. C61×#546C22semidirect
146. D42×C61C22semidirect
147. D42×C61C22semidirect
148. D42×C61C22semidirect
149. D42×C61C22semidirect
150. D42×C61C22semidirect
151. C61×#544C22semidirect
152. C61×#543C22semidirect
153. C61×#542C22semidirect
154. C61×#542C22semidirect
155. C61×#542C22semidirect
156. C61×#542C22semidirect
157. C61×#542C22semidirect
158. C61×#542C22semidirect
159. C61×#542C22semidirect
160. C61×#541C22semidirect
161. C61×#540C22semidirect
162. C61×#540C22semidirect
163. C61×#540C22semidirect
164. C61×#540C22semidirect
165. C61×#539C22semidirect
166. C61×#539C22semidirect
167. C61×#539C22semidirect
168. C61×#539C22semidirect
169. C61×#539C22semidirect
170. C61×#539C22semidirect
171. C61×#539C22semidirect
172. C61×#538C22semidirect
173. C61×#538C22semidirect
174. C61×#538C22semidirect
175. C61×#538C22semidirect
176. C61×#538C22semidirect
177. C61×#538C22semidirect
178. C61×#538C22semidirect
179. C61×#538C22semidirect
180. C61×#538C22semidirect
181. C61×#538C22semidirect
182. C61×#538C22semidirect
183. C61×#537C22semidirect
184. C61×#537C22semidirect
185. C61×#536C22semidirect
186. C61×#536C22semidirect
187. C61×#536C22semidirect
188. C61×#536C22semidirect
189. C61×#536C22semidirect
190. C61×#536C22semidirect
191. C61×#535C22semidirect
192. C61×#535C22semidirect
193. C61×#535C22semidirect
194. C61×#535C22semidirect
195. C61×#535C22semidirect
196. C61×#534C22semidirect
197. C61×#534C22semidirect
198. C61×#534C22semidirect
199. C61×#534C22semidirect
200. C61×#534C22semidirect
201. C61×#534C22semidirect
202. C61×#533C22semidirect
203. C61×#532C22semidirect
204. C61×#532C22semidirect
205. C61×#532C22semidirect
206. C61×#532C22semidirect
207. C61×#529C22semidirect
208. C61×#529C22semidirect
209. C61×#529C22semidirect
210. C61×#529C22semidirect
211. C61×#529C22semidirect
212. C61×#529C22semidirect
213. C61×#529C22semidirect
214. C61×#529C22semidirect
215. C61×#529C22semidirect
216. C2×#126×C61C22semidirect
217. C2×#124×C61C22semidirect
218. C2×#124×C61C22semidirect
219. C2×#124×C61C22semidirect
221. C61×#525C22semidirect
222. C61×#525C22semidirect
223. C61×#525C22semidirect
224. C61×#525C22semidirect
225. C61×#525C22semidirect
226. C61×#525C22semidirect
227. C61×#525C22semidirect
228. C61×#525C22semidirect
229. C61×#525C22semidirect
230. C61×#525C22semidirect
231. C61×#525C22semidirect
232. C2×#123×C61C22semidirect
233. C2×#123×C61C22semidirect
234. C2×#123×C61C22semidirect
235. C2×#123×C61C22semidirect
236. C2×C22⋊Q8×C61C22semidirect
237. C2×C22⋊Q8×C61C22semidirect
238. C2×C22⋊Q8×C61C22semidirect
239. C2×#121×C61C22semidirect
240. C2×#121×C61C22semidirect
242. C2×#120×C61C22semidirect
243. C2×#120×C61C22semidirect
244. C61×#520C22semidirect
245. C61×#520C22semidirect
246. C61×#518C22semidirect
247. C61×#518C22semidirect
248. C61×#518C22semidirect
249. C61×#518C22semidirect
250. C4×#41×C61C22semidirect
251. C4×#41×C61C22semidirect
252. C4×#41×C61C22semidirect
253. C2×C4×D4×C61C22semidirect
254. C2×C4×D4×C61C22semidirect
255. C2×C4×D4×C61C22semidirect
256. C2×C4×D4×C61C22semidirect
257. C2×#117×C61C22semidirect
258. C22×C22⋊C4×C61C22semidirect
277. C2×#41×C61C23semidirect
278. C2×#41×C61C23semidirect
279. C2×#41×C61C23semidirect
280. C2×#41×C61C23semidirect
281. C2×#41×C61C23semidirect
283. C22×Q8×C61C23semidirect
284. C22×Q8×C61C23semidirect
285. C22×Q8×C61C23semidirect
286. C22×Q8×C61C23semidirect
305. C22×D4×C61C23semidirect
310. C23×C4×C61C23semidirect
311. C23×C4×C61C23semidirect
312. C4⋊Q8×C61C23semidirect
313. C4⋊Q8×C61C23semidirect
314. C4⋊Q8×C61C23semidirect
315. C4⋊Q8×C61C23semidirect
316. C4⋊Q8×C61C23semidirect
317. C4⋊Q8×C61C23semidirect
318. C4⋊Q8×C61C23semidirect
319. C4⋊Q8×C61C23semidirect
320. C4⋊Q8×C61C23semidirect
324. #127×C61C23semidirect
325. #127×C61C23semidirect
331. #126×C61C23semidirect
332. #126×C61C23semidirect
333. #126×C61C23semidirect
334. #126×C61C23semidirect
335. #126×C61C23semidirect
336. #126×C61C23semidirect
337. #126×C61C23semidirect
338. #126×C61C23semidirect
339. #126×C61C23semidirect
340. #126×C61C23semidirect
341. #126×C61C23semidirect
342. #126×C61C23semidirect
343. #126×C61C23semidirect
344. #126×C61C23semidirect
345. #126×C61C23semidirect
346. #126×C61C23semidirect
347. #126×C61C23semidirect
348. #126×C61C23semidirect
349. #126×C61C23semidirect
350. #125×C61C23semidirect
351. #125×C61C23semidirect
352. #125×C61C23semidirect
353. #125×C61C23semidirect
354. #125×C61C23semidirect
355. #125×C61C23semidirect
356. #125×C61C23semidirect
357. #125×C61C23semidirect
358. #125×C61C23semidirect
359. #125×C61C23semidirect
360. #125×C61C23semidirect
375. #124×C61C23semidirect
376. #124×C61C23semidirect
377. #124×C61C23semidirect
378. #124×C61C23semidirect
379. #124×C61C23semidirect
380. #124×C61C23semidirect
381. #124×C61C23semidirect
382. #124×C61C23semidirect
383. #124×C61C23semidirect
384. #124×C61C23semidirect
385. #124×C61C23semidirect
386. #124×C61C23semidirect
387. #124×C61C23semidirect
388. #124×C61C23semidirect
389. #124×C61C23semidirect
390. #124×C61C23semidirect
417. #123×C61C23semidirect
418. #123×C61C23semidirect
419. #123×C61C23semidirect
420. #123×C61C23semidirect
421. #123×C61C23semidirect
422. #123×C61C23semidirect
423. #123×C61C23semidirect
424. #123×C61C23semidirect
425. #123×C61C23semidirect
426. #123×C61C23semidirect
427. #123×C61C23semidirect
428. #123×C61C23semidirect
429. #123×C61C23semidirect
430. #123×C61C23semidirect
431. #123×C61C23semidirect
432. #123×C61C23semidirect
433. #123×C61C23semidirect
434. #123×C61C23semidirect
435. #123×C61C23semidirect
436. #123×C61C23semidirect
437. #123×C61C23semidirect
438. #123×C61C23semidirect
439. #123×C61C23semidirect
440. #123×C61C23semidirect
441. #123×C61C23semidirect
442. #123×C61C23semidirect
443. #123×C61C23semidirect
444. #123×C61C23semidirect
445. #123×C61C23semidirect
446. #123×C61C23semidirect
447. #123×C61C23semidirect
448. #123×C61C23semidirect
464. C22⋊Q8×C61C23semidirect
465. C22⋊Q8×C61C23semidirect
466. C22⋊Q8×C61C23semidirect
467. C22⋊Q8×C61C23semidirect
468. C22⋊Q8×C61C23semidirect
469. C22⋊Q8×C61C23semidirect
470. C22⋊Q8×C61C23semidirect
471. C22⋊Q8×C61C23semidirect
472. C22⋊Q8×C61C23semidirect
473. C22⋊Q8×C61C23semidirect
474. C22⋊Q8×C61C23semidirect
475. C22⋊Q8×C61C23semidirect
476. C22⋊Q8×C61C23semidirect
477. C22⋊Q8×C61C23semidirect
478. C22⋊Q8×C61C23semidirect
479. C22⋊Q8×C61C23semidirect
480. C22⋊Q8×C61C23semidirect
481. C22⋊Q8×C61C23semidirect
482. C22⋊Q8×C61C23semidirect
483. C22⋊Q8×C61C23semidirect
484. C22⋊Q8×C61C23semidirect
485. C22⋊Q8×C61C23semidirect
486. C22⋊Q8×C61C23semidirect
487. C22⋊Q8×C61C23semidirect
488. C22⋊Q8×C61C23semidirect
489. C22⋊Q8×C61C23semidirect
490. C22⋊Q8×C61C23semidirect
491. C22⋊Q8×C61C23semidirect
492. C22⋊Q8×C61C23semidirect
493. C22⋊Q8×C61C23semidirect
525. #121×C61C23semidirect
526. #121×C61C23semidirect
527. #121×C61C23semidirect
528. #121×C61C23semidirect
529. #121×C61C23semidirect
530. #121×C61C23semidirect
531. #121×C61C23semidirect
532. #121×C61C23semidirect
533. #121×C61C23semidirect
534. #121×C61C23semidirect
535. #121×C61C23semidirect
536. #121×C61C23semidirect
537. #121×C61C23semidirect
538. #121×C61C23semidirect
539. #121×C61C23semidirect
540. #121×C61C23semidirect
541. #121×C61C23semidirect
542. #121×C61C23semidirect
543. #121×C61C23semidirect
544. #121×C61C23semidirect
545. #121×C61C23semidirect
546. #121×C61C23semidirect
547. #121×C61C23semidirect
573. #120×C61C23semidirect
574. #120×C61C23semidirect
575. #120×C61C23semidirect
576. #120×C61C23semidirect
577. #120×C61C23semidirect
578. #120×C61C23semidirect
579. C4×Q8×C61C23semidirect
580. C4×Q8×C61C23semidirect
581. C4×Q8×C61C23semidirect
582. C4×Q8×C61C23semidirect
583. C4×Q8×C61C23semidirect
584. C4×Q8×C61C23semidirect
585. C4×Q8×C61C23semidirect
586. C4×Q8×C61C23semidirect
587. C4×Q8×C61C23semidirect
618. C4×D4×C61C23semidirect
619. C4×D4×C61C23semidirect
620. C4×D4×C61C23semidirect
621. C4×D4×C61C23semidirect
622. C4×D4×C61C23semidirect
623. C4×D4×C61C23semidirect
624. C4×D4×C61C23semidirect
625. C4×D4×C61C23semidirect
626. C4×D4×C61C23semidirect
627. C4×D4×C61C23semidirect
628. C4×D4×C61C23semidirect
629. C4×D4×C61C23semidirect
630. C4×D4×C61C23semidirect
631. C4×D4×C61C23semidirect
632. C4×D4×C61C23semidirect
633. C4×D4×C61C23semidirect
634. C4×D4×C61C23semidirect
635. C4×D4×C61C23semidirect
636. C4×D4×C61C23semidirect
637. C4×D4×C61C23semidirect
638. C4×D4×C61C23semidirect
639. C4×D4×C61C23semidirect
640. C4×D4×C61C23semidirect
641. C4×D4×C61C23semidirect
642. C4×D4×C61C23semidirect
643. C4×D4×C61C23semidirect
644. C4×D4×C61C23semidirect
645. C4×D4×C61C23semidirect
646. C4×D4×C61C23semidirect
647. C4×D4×C61C23semidirect
648. C4×D4×C61C23semidirect
656. #117×C61C23semidirect
657. #117×C61C23semidirect
658. #117×C61C23semidirect
659. #117×C61C23semidirect
660. #117×C61C23semidirect
661. #117×C61C23semidirect
662. #117×C61C23semidirect
663. #117×C61C23semidirect
664. #117×C61C23semidirect
665. #117×C61C23semidirect
666. #117×C61C23semidirect
667. #117×C61C23semidirect
668. #117×C61C23semidirect
669. #117×C61C23semidirect
670. #117×C61C23semidirect
671. #117×C61C23semidirect
672. #117×C61C23semidirect
673. #117×C61C23semidirect
677. C2×C4⋊C4×C61C23semidirect
678. C2×C4⋊C4×C61C23semidirect
679. C2×C4⋊C4×C61C23semidirect
680. C2×C4⋊C4×C61C23semidirect
681. C2×C4⋊C4×C61C23semidirect
682. C2×C4⋊C4×C61C23semidirect
683. C2×C4⋊C4×C61C23semidirect
684. C2×C4⋊C4×C61C23semidirect
706. C2×C22⋊C4×C61C23semidirect
707. C2×C22⋊C4×C61C23semidirect
708. C2×C22⋊C4×C61C23semidirect
709. C2×C22⋊C4×C61C23semidirect
710. C2×C22⋊C4×C61C23semidirect
711. C2×C22⋊C4×C61C23semidirect
713. C2×C42×C61C23semidirect
714. C2×C42×C61C23semidirect
715. C2×C42×C61C23semidirect
716. C2×C42×C61C23semidirect
1138. #63017C61direct (N × H)
1192. #3562C2×C61semidirect
1193. #3561C2×C61semidirect
1194. #3560C2×C61semidirect
1195. #3551C2×C61semidirect
1196. #3545C2×C61semidirect
1197. #3542C2×C61semidirect
1198. #3540C2×C61semidirect
1199. #3538C2×C61semidirect
1200. #3535C2×C61semidirect
1201. #3534C2×C61semidirect
1202. #3533C2×C61semidirect
1203. #3532C2×C61semidirect
1204. #3521C2×C61semidirect
1205. #3520C2×C61semidirect
1206. #3514C2×C61semidirect
1207. #3513C2×C61semidirect
1208. #3513C2×C61semidirect
1209. #3505C2×C61semidirect
1210. #3500C2×C61semidirect
1211. #3494C2×C61semidirect
1212. #3490C2×C61semidirect
1213. #3489C2×C61semidirect
1214. #3485C2×C61semidirect
1215. #3484C2×C61semidirect
1216. #3481C2×C61semidirect
1217. #3475C2×C61semidirect
1218. C2×#551C2×C61semidirect
1219. D4×#41C2×C61semidirect
1220. C2×#546C2×C61semidirect
1233. C2×2−1+4C22×C61semidirect
1234. C2×H(5,𝔽2)C22×C61semidirect
1235. C22×#41C22×C61semidirect
1236. C22×#41C22×C61semidirect
1237. C23×D4C22×C61semidirect
1238. #563C22×C61semidirect
1239. #563C22×C61semidirect
1240. #563C22×C61semidirect
1241. #563C22×C61semidirect
1242. #562C22×C61semidirect
1243. #562C22×C61semidirect
1244. #562C22×C61semidirect
1245. H(3,𝔽4)C22×C61semidirect
1246. #560C22×C61semidirect
1247. #560C22×C61semidirect
1248. #560C22×C61semidirect
1249. #560C22×C61semidirect
1250. #559C22×C61semidirect
1251. #559C22×C61semidirect
1252. #559C22×C61semidirect
1253. #556C22×C61semidirect
1254. #556C22×C61semidirect
1255. #556C22×C61semidirect
1256. #555C22×C61semidirect
1257. #555C22×C61semidirect
1258. #555C22×C61semidirect
1259. #554C22×C61semidirect
1260. #554C22×C61semidirect
1261. #554C22×C61semidirect
1262. #553C22×C61semidirect
1263. #553C22×C61semidirect
1264. #553C22×C61semidirect
1265. #553C22×C61semidirect
1266. #553C22×C61semidirect
1267. #553C22×C61semidirect
1268. #553C22×C61semidirect
1269. #553C22×C61semidirect
1270. #553C22×C61semidirect
1271. #553C22×C61semidirect
1272. #552C22×C61semidirect
1273. #552C22×C61semidirect
1274. #552C22×C61semidirect
1275. #552C22×C61semidirect
1276. #552C22×C61semidirect
1277. #552C22×C61semidirect
1278. #551C22×C61semidirect
1279. #551C22×C61semidirect
1280. #551C22×C61semidirect
1281. #551C22×C61semidirect
1282. #551C22×C61semidirect
1283. #551C22×C61semidirect
1284. #551C22×C61semidirect
1285. #551C22×C61semidirect
1286. #551C22×C61semidirect
1287. #551C22×C61semidirect
1288. #551C22×C61semidirect
1289. #551C22×C61semidirect
1290. #551C22×C61semidirect
1291. #551C22×C61semidirect
1292. #551C22×C61semidirect
1293. #551C22×C61semidirect
1294. #551C22×C61semidirect
1295. #551C22×C61semidirect
1296. #551C22×C61semidirect
1297. #551C22×C61semidirect
1298. #551C22×C61semidirect
1299. #551C22×C61semidirect
1300. #551C22×C61semidirect
1301. #550C22×C61semidirect
1302. D4×Q8C22×C61semidirect
1303. D4×Q8C22×C61semidirect
1304. D4×Q8C22×C61semidirect
1305. #548C22×C61semidirect
1306. #548C22×C61semidirect
1307. #548C22×C61semidirect
1308. #548C22×C61semidirect
1309. #548C22×C61semidirect
1310. #548C22×C61semidirect
1311. #547C22×C61semidirect
1312. #547C22×C61semidirect
1313. #547C22×C61semidirect
1314. #547C22×C61semidirect
1315. #547C22×C61semidirect
1316. #547C22×C61semidirect
1317. #547C22×C61semidirect
1318. #547C22×C61semidirect
1319. #546C22×C61semidirect
1320. #546C22×C61semidirect
1321. #546C22×C61semidirect
1322. #546C22×C61semidirect
1323. #546C22×C61semidirect
1324. #546C22×C61semidirect
1325. #546C22×C61semidirect
1326. #546C22×C61semidirect
1327. #546C22×C61semidirect
1328. #546C22×C61semidirect
1329. #546C22×C61semidirect
1330. #546C22×C61semidirect
1331. #546C22×C61semidirect
1332. #546C22×C61semidirect
1333. #546C22×C61semidirect
1334. #546C22×C61semidirect
1335. #546C22×C61semidirect
1336. #546C22×C61semidirect
1337. #546C22×C61semidirect
1338. #546C22×C61semidirect
1339. #546C22×C61semidirect
1340. #546C22×C61semidirect
1341. #546C22×C61semidirect
1342. #546C22×C61semidirect
1343. #546C22×C61semidirect
1344. #546C22×C61semidirect
1345. #546C22×C61semidirect
1346. #546C22×C61semidirect
1347. #546C22×C61semidirect
1348. #546C22×C61semidirect
1349. D42C22×C61semidirect
1350. D42C22×C61semidirect
1351. D42C22×C61semidirect
1352. D42C22×C61semidirect
1353. D42C22×C61semidirect
1354. #544C22×C61semidirect
1355. #543C22×C61semidirect
1356. #542C22×C61semidirect
1357. #542C22×C61semidirect
1358. #542C22×C61semidirect
1359. #542C22×C61semidirect
1360. #542C22×C61semidirect
1361. #542C22×C61semidirect
1362. #542C22×C61semidirect
1363. #541C22×C61semidirect
1364. #540C22×C61semidirect
1365. #540C22×C61semidirect
1366. #540C22×C61semidirect
1367. #540C22×C61semidirect
1368. #539C22×C61semidirect
1369. #539C22×C61semidirect
1370. #539C22×C61semidirect
1371. #539C22×C61semidirect
1372. #539C22×C61semidirect
1373. #539C22×C61semidirect
1374. #539C22×C61semidirect
1375. #538C22×C61semidirect
1376. #538C22×C61semidirect
1377. #538C22×C61semidirect
1378. #538C22×C61semidirect
1379. #538C22×C61semidirect
1380. #538C22×C61semidirect
1381. #538C22×C61semidirect
1382. #538C22×C61semidirect
1383. #538C22×C61semidirect
1384. #538C22×C61semidirect
1385. #538C22×C61semidirect
1386. #537C22×C61semidirect
1387. #537C22×C61semidirect
1388. #536C22×C61semidirect
1389. #536C22×C61semidirect
1390. #536C22×C61semidirect
1391. #536C22×C61semidirect
1392. #536C22×C61semidirect
1393. #536C22×C61semidirect
1394. #535C22×C61semidirect
1395. #535C22×C61semidirect
1396. #535C22×C61semidirect
1397. #535C22×C61semidirect
1398. #535C22×C61semidirect
1399. #534C22×C61semidirect
1400. #534C22×C61semidirect
1401. #534C22×C61semidirect
1402. #534C22×C61semidirect
1403. #534C22×C61semidirect
1404. #534C22×C61semidirect
1405. #533C22×C61semidirect
1406. #532C22×C61semidirect
1407. #532C22×C61semidirect
1408. #532C22×C61semidirect
1409. #532C22×C61semidirect
1410. #529C22×C61semidirect
1411. #529C22×C61semidirect
1412. #529C22×C61semidirect
1413. #529C22×C61semidirect
1414. #529C22×C61semidirect
1415. #529C22×C61semidirect
1416. #529C22×C61semidirect
1417. #529C22×C61semidirect
1418. #529C22×C61semidirect
1419. C2×#126C22×C61semidirect
1420. C2×#124C22×C61semidirect
1421. C2×#124C22×C61semidirect
1422. C2×#124C22×C61semidirect
1424. #525C22×C61semidirect
1425. #525C22×C61semidirect
1426. #525C22×C61semidirect
1427. #525C22×C61semidirect
1428. #525C22×C61semidirect
1429. #525C22×C61semidirect
1430. #525C22×C61semidirect
1431. #525C22×C61semidirect
1432. #525C22×C61semidirect
1433. #525C22×C61semidirect
1434. #525C22×C61semidirect
1435. C2×#123C22×C61semidirect
1436. C2×#123C22×C61semidirect
1437. C2×#123C22×C61semidirect
1438. C2×#123C22×C61semidirect
1439. C2×C22⋊Q8C22×C61semidirect
1440. C2×C22⋊Q8C22×C61semidirect
1441. C2×C22⋊Q8C22×C61semidirect
1442. C2×#121C22×C61semidirect
1443. C2×#121C22×C61semidirect
1445. C2×#120C22×C61semidirect
1446. C2×#120C22×C61semidirect
1447. #520C22×C61semidirect
1448. #520C22×C61semidirect
1449. #518C22×C61semidirect
1450. #518C22×C61semidirect
1451. #518C22×C61semidirect
1452. #518C22×C61semidirect
1453. C4×#41C22×C61semidirect
1454. C4×#41C22×C61semidirect
1455. C4×#41C22×C61semidirect
1456. C2×C4×D4C22×C61semidirect
1457. C2×C4×D4C22×C61semidirect
1458. C2×C4×D4C22×C61semidirect
1459. C2×C4×D4C22×C61semidirect
1460. C2×#117C22×C61semidirect
1461. C22×C22⋊C4C22×C61semidirect
1462. C61#63017direct (N × H)
1481. C2×#41C23×C61semidirect
1482. C2×#41C23×C61semidirect
1483. C2×#41C23×C61semidirect
1484. C2×#41C23×C61semidirect
1485. C2×#41C23×C61semidirect
1487. C22×Q8C23×C61semidirect
1488. C22×Q8C23×C61semidirect
1489. C22×Q8C23×C61semidirect
1490. C22×Q8C23×C61semidirect
1509. C22×D4C23×C61semidirect
1514. C23×C4C23×C61semidirect
1515. C23×C4C23×C61semidirect
1516. C4⋊Q8C23×C61semidirect
1517. C4⋊Q8C23×C61semidirect
1518. C4⋊Q8C23×C61semidirect
1519. C4⋊Q8C23×C61semidirect
1520. C4⋊Q8C23×C61semidirect
1521. C4⋊Q8C23×C61semidirect
1522. C4⋊Q8C23×C61semidirect
1523. C4⋊Q8C23×C61semidirect
1524. C4⋊Q8C23×C61semidirect
1528. #127C23×C61semidirect
1529. #127C23×C61semidirect
1535. #126C23×C61semidirect
1536. #126C23×C61semidirect
1537. #126C23×C61semidirect
1538. #126C23×C61semidirect
1539. #126C23×C61semidirect
1540. #126C23×C61semidirect
1541. #126C23×C61semidirect
1542. #126C23×C61semidirect
1543. #126C23×C61semidirect
1544. #126C23×C61semidirect
1545. #126C23×C61semidirect
1546. #126C23×C61semidirect
1547. #126C23×C61semidirect
1548. #126C23×C61semidirect
1549. #126C23×C61semidirect
1550. #126C23×C61semidirect
1551. #126C23×C61semidirect
1552. #126C23×C61semidirect
1553. #126C23×C61semidirect
1554. #125C23×C61semidirect
1555. #125C23×C61semidirect
1556. #125C23×C61semidirect
1557. #125C23×C61semidirect
1558. #125C23×C61semidirect
1559. #125C23×C61semidirect
1560. #125C23×C61semidirect
1561. #125C23×C61semidirect
1562. #125C23×C61semidirect
1563. #125C23×C61semidirect
1564. #125C23×C61semidirect
1579. #124C23×C61semidirect
1580. #124C23×C61semidirect
1581. #124C23×C61semidirect
1582. #124C23×C61semidirect
1583. #124C23×C61semidirect
1584. #124C23×C61semidirect
1585. #124C23×C61semidirect
1586. #124C23×C61semidirect
1587. #124C23×C61semidirect
1588. #124C23×C61semidirect
1589. #124C23×C61semidirect
1590. #124C23×C61semidirect
1591. #124C23×C61semidirect
1592. #124C23×C61semidirect
1593. #124C23×C61semidirect
1594. #124C23×C61semidirect
1621. #123C23×C61semidirect
1622. #123C23×C61semidirect
1623. #123C23×C61semidirect
1624. #123C23×C61semidirect
1625. #123C23×C61semidirect
1626. #123C23×C61semidirect
1627. #123C23×C61semidirect
1628. #123C23×C61semidirect
1629. #123C23×C61semidirect
1630. #123C23×C61semidirect
1631. #123C23×C61semidirect
1632. #123C23×C61semidirect
1633. #123C23×C61semidirect
1634. #123C23×C61semidirect
1635. #123C23×C61semidirect
1636. #123C23×C61semidirect
1637. #123C23×C61semidirect
1638. #123C23×C61semidirect
1639. #123C23×C61semidirect
1640. #123C23×C61semidirect
1641. #123C23×C61semidirect
1642. #123C23×C61semidirect
1643. #123C23×C61semidirect
1644. #123C23×C61semidirect
1645. #123C23×C61semidirect
1646. #123C23×C61semidirect
1647. #123C23×C61semidirect
1648. #123C23×C61semidirect
1649. #123C23×C61semidirect
1650. #123C23×C61semidirect
1651. #123C23×C61semidirect
1652. #123C23×C61semidirect
1668. C22⋊Q8C23×C61semidirect
1669. C22⋊Q8C23×C61semidirect
1670. C22⋊Q8C23×C61semidirect
1671. C22⋊Q8C23×C61semidirect
1672. C22⋊Q8C23×C61semidirect
1673. C22⋊Q8C23×C61semidirect
1674. C22⋊Q8C23×C61semidirect
1675. C22⋊Q8C23×C61semidirect
1676. C22⋊Q8C23×C61semidirect
1677. C22⋊Q8C23×C61semidirect
1678. C22⋊Q8C23×C61semidirect
1679. C22⋊Q8C23×C61semidirect
1680. C22⋊Q8C23×C61semidirect
1681. C22⋊Q8C23×C61semidirect
1682. C22⋊Q8C23×C61semidirect
1683. C22⋊Q8C23×C61semidirect
1684. C22⋊Q8C23×C61semidirect
1685. C22⋊Q8C23×C61semidirect
1686. C22⋊Q8C23×C61semidirect
1687. C22⋊Q8C23×C61semidirect
1688. C22⋊Q8C23×C61semidirect
1689. C22⋊Q8C23×C61semidirect
1690. C22⋊Q8C23×C61semidirect
1691. C22⋊Q8C23×C61semidirect
1692. C22⋊Q8C23×C61semidirect
1693. C22⋊Q8C23×C61semidirect
1694. C22⋊Q8C23×C61semidirect
1695. C22⋊Q8C23×C61semidirect
1696. C22⋊Q8C23×C61semidirect
1697. C22⋊Q8C23×C61semidirect
1729. #121C23×C61semidirect
1730. #121C23×C61semidirect
1731. #121C23×C61semidirect
1732. #121C23×C61semidirect
1733. #121C23×C61semidirect
1734. #121C23×C61semidirect
1735. #121C23×C61semidirect
1736. #121C23×C61semidirect
1737. #121C23×C61semidirect
1738. #121C23×C61semidirect
1739. #121C23×C61semidirect
1740. #121C23×C61semidirect
1741. #121C23×C61semidirect
1742. #121C23×C61semidirect
1743. #121C23×C61semidirect
1744. #121C23×C61semidirect
1745. #121C23×C61semidirect
1746. #121C23×C61semidirect
1747. #121C23×C61semidirect
1748. #121C23×C61semidirect
1749. #121C23×C61semidirect
1750. #121C23×C61semidirect
1751. #121C23×C61semidirect
1777. #120C23×C61semidirect
1778. #120C23×C61semidirect
1779. #120C23×C61semidirect
1780. #120C23×C61semidirect
1781. #120C23×C61semidirect
1782. #120C23×C61semidirect
1783. C4×Q8C23×C61semidirect
1784. C4×Q8C23×C61semidirect
1785. C4×Q8C23×C61semidirect
1786. C4×Q8C23×C61semidirect
1787. C4×Q8C23×C61semidirect
1788. C4×Q8C23×C61semidirect
1789. C4×Q8C23×C61semidirect
1790. C4×Q8C23×C61semidirect
1791. C4×Q8C23×C61semidirect
1822. C4×D4C23×C61semidirect
1823. C4×D4C23×C61semidirect
1824. C4×D4C23×C61semidirect
1825. C4×D4C23×C61semidirect
1826. C4×D4C23×C61semidirect
1827. C4×D4C23×C61semidirect
1828. C4×D4C23×C61semidirect
1829. C4×D4C23×C61semidirect
1830. C4×D4C23×C61semidirect
1831. C4×D4C23×C61semidirect
1832. C4×D4C23×C61semidirect
1833. C4×D4C23×C61semidirect
1834. C4×D4C23×C61semidirect
1835. C4×D4C23×C61semidirect
1836. C4×D4C23×C61semidirect
1837. C4×D4C23×C61semidirect
1838. C4×D4C23×C61semidirect
1839. C4×D4C23×C61semidirect
1840. C4×D4C23×C61semidirect
1841. C4×D4C23×C61semidirect
1842. C4×D4C23×C61semidirect
1843. C4×D4C23×C61semidirect
1844. C4×D4C23×C61semidirect
1845. C4×D4C23×C61semidirect
1846. C4×D4C23×C61semidirect
1847. C4×D4C23×C61semidirect
1848. C4×D4C23×C61semidirect
1849. C4×D4C23×C61semidirect
1850. C4×D4C23×C61semidirect
1851. C4×D4C23×C61semidirect
1852. C4×D4C23×C61semidirect
1860. #117C23×C61semidirect
1861. #117C23×C61semidirect
1862. #117C23×C61semidirect
1863. #117C23×C61semidirect
1864. #117C23×C61semidirect
1865. #117C23×C61semidirect
1866. #117C23×C61semidirect
1867. #117C23×C61semidirect
1868. #117C23×C61semidirect
1869. #117C23×C61semidirect
1870. #117C23×C61semidirect
1871. #117C23×C61semidirect
1872. #117C23×C61semidirect
1873. #117C23×C61semidirect
1874. #117C23×C61semidirect
1875. #117C23×C61semidirect
1876. #117C23×C61semidirect
1877. #117C23×C61semidirect
1881. C2×C4⋊C4C23×C61semidirect
1882. C2×C4⋊C4C23×C61semidirect
1883. C2×C4⋊C4C23×C61semidirect
1884. C2×C4⋊C4C23×C61semidirect
1885. C2×C4⋊C4C23×C61semidirect
1886. C2×C4⋊C4C23×C61semidirect
1887. C2×C4⋊C4C23×C61semidirect
1888. C2×C4⋊C4C23×C61semidirect
1910. C2×C22⋊C4C23×C61semidirect
1911. C2×C22⋊C4C23×C61semidirect
1912. C2×C22⋊C4C23×C61semidirect
1913. C2×C22⋊C4C23×C61semidirect
1914. C2×C22⋊C4C23×C61semidirect
1915. C2×C22⋊C4C23×C61semidirect
1917. C2×C42C23×C61semidirect
1918. C2×C42C23×C61semidirect
1919. C2×C42C23×C61semidirect
1920. C2×C42C23×C61semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C61×#35622
C61×#35612
C61×#35602
C61×#35512
C61×#35452
C61×#35422
C61×#35402
C61×#35382
C61×#35352
C61×#35342
C61×#35332
C61×#35322
C61×#35212
C61×#35202
C61×#35142
C61×#35132
C61×#35052
C61×#35002
C61×#34942
C61×#34902
C61×#34892
C61×#34852
C61×#34842
C61×#34812
C61×#34752
C2×C61×#5512
D4×#41×C612
C2×C61×#5462
#6301761