Finite Group Databasebeta

← C61×#62898 #29566331

Subgroups — C61×#62898 #29566331

Order 15616.

7106 conjugacy classes of subgroups.

The subgroup lattice has 2398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3562C212yesmaximal, complemented
2C61×#3560C214yesmaximal, complemented
3C61×#3559C214yesmaximal, complemented
4C61×#3554C212yesmaximal, complemented
5C61×#3552C212yesmaximal, complemented
6C61×#3541C212yesmaximal, complemented
7C61×#3539C212yesmaximal, complemented
8C61×#3538C211yesmaximal, characteristic, complemented
9C61×#3536C211yesmaximal, characteristic, complemented
10C61×#3535C214yesmaximal, complemented
11C61×#3535C212yesmaximal, complemented
12C61×#3534C212yesmaximal, complemented
13C61×#3534C214yesmaximal, complemented
14C61×#3533C214yesmaximal, complemented
15C61×#3521C212yesmaximal, complemented
16C61×#3520C212yesmaximal, complemented
17C61×#3515C212yesmaximal, complemented
18C61×#3513C214yesmaximal, complemented
19C61×#3513C212yesmaximal, complemented
20C61×#3505C211yesmaximal, characteristic, complemented
21C61×#3492C212yesmaximal, complemented
22C61×#3489C212yesmaximal, complemented
23C61×#3489C211yesmaximal, characteristic, complemented
24C61×#3488C211yesmaximal, characteristic, complemented
25C61×#3485C212yesmaximal, complemented
26D4×#41×C61C212yesmaximal, complemented
27C2×C61×#547C211yesmaximal, characteristic, complemented
28C61×#3459C211yesmaximal, characteristic, complemented
29C2×C61×#539C212yesmaximal, complemented
30C2×2−1+4×C61C2211yescharacteristic, complemented
31C2×H(5,𝔽2)×C61C2211yescharacteristic, complemented
32C22×#41×C61C2211yescharacteristic, complemented
33C22×#41×C61C2211yescharacteristic, complemented
34C22×#41×C61C2212yescomplemented
35C61×#563C2214yescomplemented
36C61×#563C2214yescomplemented
37C61×#563C2214yescomplemented
38C61×#563C2214yescomplemented
39C61×#562C2214yescomplemented
40C61×#562C2214yescomplemented
41C61×#562C2214yescomplemented
42C61×#562C2214yescomplemented
43C61×#562C2214yescomplemented
44C61×#560C2214yescomplemented
45C61×#560C2214yescomplemented
46C61×#560C2214yescomplemented
47C61×#559C2212yescomplemented
48C61×#559C2214yescomplemented
49C61×#557C2212yescomplemented
50C61×#556C2212yescomplemented
51C61×#556C2212yescomplemented
52C61×#554C2214yescomplemented
53C61×#554C2214yescomplemented
54C61×#554C2214yescomplemented
55C61×#554C2214yescomplemented
56C61×#554C2212yescomplemented
57C61×#554C2212yescomplemented
58C61×#553C2214yescomplemented
59C61×#553C2214yescomplemented
60C61×#553C2214yescomplemented
61C61×#553C2214yescomplemented
62C61×#553C2214yescomplemented
63C61×#553C2214yescomplemented
64C61×#553C2214yescomplemented
65C61×#553C2214yescomplemented
66C61×#553C2214yescomplemented
67C61×#553C2212yescomplemented
68C61×#553C2212yescomplemented
69C61×#552C2214yescomplemented
70C61×#552C2214yescomplemented
71C61×#552C2212yescomplemented
72C61×#552C2214yescomplemented
73C61×#552C2212yescomplemented
74C61×#552C2212yescomplemented
75C61×#552C2214yescomplemented
76C61×#552C2212yescomplemented
77C61×#551C2214yescomplemented
78C61×#551C2214yescomplemented
79C61×#551C2214yescomplemented
80C61×#551C2214yescomplemented
81C61×#551C2214yescomplemented
82C61×#551C2214yescomplemented
83C61×#551C2214yescomplemented
84C61×#551C2214yescomplemented
85C61×#551C2214yescomplemented
86C61×#550C2212yescomplemented
87C61×#550C2212yescomplemented
88D4×Q8×C61C2212yescomplemented
89D4×Q8×C61C2212yescomplemented
90D4×Q8×C61C2212yescomplemented
91D4×Q8×C61C2212yescomplemented
92C61×#548C2212yescomplemented
93C61×#548C2212yescomplemented
94C61×#548C2212yescomplemented
95C61×#548C2212yescomplemented
96C61×#548C2212yescomplemented
97C61×#548C2212yescomplemented
98C61×#547C2212yescomplemented
99C61×#547C2212yescomplemented
100C61×#547C2212yescomplemented
101C61×#547C2214yescomplemented
102C61×#547C2214yescomplemented
103C61×#547C2214yescomplemented
104C61×#547C2214yescomplemented
105C61×#547C2214yescomplemented
106C61×#547C2214yescomplemented
107C61×#547C2214yescomplemented
108C61×#547C2214yescomplemented
109C61×#547C2212yescomplemented
110C61×#547C2212yescomplemented
111C61×#547C2212yescomplemented
112C61×#547C2212yescomplemented
113C61×#547C2212yescomplemented
114C61×#547C2212yescomplemented
115C61×#546C2214yescomplemented
116C61×#546C2214yescomplemented
117C61×#546C2214yescomplemented
118C61×#546C2214yescomplemented
119C61×#546C2212yescomplemented
120C61×#546C2212yescomplemented
121C61×#546C2212yescomplemented
122C61×#546C2212yescomplemented
123C61×#546C2214yescomplemented
124C61×#546C2212yescomplemented
125C61×#546C2214yescomplemented
126C61×#546C2212yescomplemented
127C61×#546C2214yescomplemented
128C61×#546C2214yescomplemented
129C61×#546C2214yescomplemented
130C61×#546C2214yescomplemented
131C61×#546C2214yescomplemented
132D42×C61C2212yescomplemented
133D42×C61C2214yescomplemented
134D42×C61C2214yescomplemented
135C61×#544C2214yescomplemented
136C61×#544C2212yescomplemented
137C61×#544C2212yescomplemented
138C61×#543C2211yescharacteristic, complemented
139C61×#543C2212yescomplemented
140C61×#542C2214yescomplemented
141C61×#542C2214yescomplemented
142C61×#542C2212yescomplemented
143C61×#542C2212yescomplemented
144C61×#542C2214yescomplemented
145C61×#542C2214yescomplemented
146C61×#541C2212yescomplemented
147C61×#541C2212yescomplemented
148C61×#541C2212yescomplemented
149C61×#540C2214yescomplemented
150C61×#540C2214yescomplemented
151C61×#540C2214yescomplemented
152C61×#540C2212yescomplemented
153C61×#540C2214yescomplemented
154C61×#539C2214yescomplemented
155C61×#539C2214yescomplemented
156C61×#539C2214yescomplemented
157C61×#539C2214yescomplemented
158C61×#539C2212yescomplemented
159C61×#539C2214yescomplemented
160C61×#539C2214yescomplemented
161C61×#539C2214yescomplemented
162C61×#539C2214yescomplemented
163C61×#539C2214yescomplemented
164C61×#539C2211yescharacteristic, complemented
165C61×#539C2212yescomplemented
166C61×#539C2214yescomplemented
167C61×#539C2214yescomplemented
168C61×#539C2212yescomplemented
169C61×#539C2212yescomplemented
170C61×#539C2214yescomplemented
171C61×#539C2211yescharacteristic, complemented
172C61×#539C2212yescomplemented
173C61×#539C2214yescomplemented
174C61×#539C2212yescomplemented
175C61×#539C2214yescomplemented
176C61×#538C2212yescomplemented
177C61×#538C2212yescomplemented
178C61×#538C2214yescomplemented
179C61×#538C2214yescomplemented
180C61×#538C2214yescomplemented
181C61×#538C2214yescomplemented
182C61×#538C2212yescomplemented
183C61×#538C2212yescomplemented
184C61×#538C2212yescomplemented
185C61×#538C2214yescomplemented
186C61×#538C2214yescomplemented
187C61×#537C2212yescomplemented
188C61×#537C2214yescomplemented
189C61×#537C2212yescomplemented
190C61×#537C2211yescharacteristic, complemented
191C61×#537C2212yescomplemented
192C61×#537C2211yescharacteristic, complemented
193C61×#537C2212yescomplemented
194C61×#536C2212yescomplemented
195C61×#536C2212yescomplemented
196C61×#536C2211yescharacteristic, complemented
197C61×#536C2212yescomplemented
198C61×#536C2214yescomplemented
199C61×#536C2212yescomplemented
200C61×#535C2211yescharacteristic, complemented
201C61×#535C2212yescomplemented
202C61×#534C2214yescomplemented
203C61×#534C2211yescharacteristic, complemented
204C61×#534C2212yescomplemented
205C61×#534C2214yescomplemented
206C61×#534C2212yescomplemented
207C61×#533C2212yescomplemented
208C61×#532C2212yescomplemented
209C61×#532C2214yescomplemented
210C2×C4⋊Q8×C61C2211yescharacteristic, complemented
211C61×#529C2212yescomplemented
212C61×#529C2212yescomplemented
213C61×#529C2212yescomplemented
214C61×#529C2214yescomplemented
215C61×#529C2214yescomplemented
216C61×#529C2212yescomplemented
217C61×#529C2212yescomplemented
218C2×#126×C61C2214yescomplemented
219C2×#125×C61C2214yescomplemented
220C61×#525C2211yescharacteristic
221C61×#525C2212yescomplemented
222C61×#525C2211yescharacteristic, complemented
223C61×#525C2212yescomplemented
224C61×#525C2214yescomplemented
225C61×#525C2212yescomplemented
226C61×#525C2214yescomplemented
227C61×#525C2212yescomplemented
228C61×#525C2212yescomplemented
229C61×#525C2212yescomplemented
230C61×#525C2212yescomplemented
231C61×#525C2214yescomplemented
232C61×#525C2214yescomplemented
233C2×#123×C61C2214yescomplemented
234C2×#123×C61C2214yescomplemented
235C2×#123×C61C2212yescomplemented
236C2×#123×C61C2212yescomplemented
237C2×#123×C61C2214yescomplemented
238C2×C22⋊Q8×C61C2212yescomplemented
239C2×C22⋊Q8×C61C2214yescomplemented
240C2×C22⋊Q8×C61C2211yescharacteristic, complemented
241C2×C22⋊Q8×C61C2211yescharacteristic, complemented
242C2×C22⋊Q8×C61C2211yescharacteristic, complemented
243C2×C22⋊Q8×C61C2212yescomplemented
244C2×#121×C61C2212yes—
245C2×#121×C61C2212yescomplemented
246C2×#121×C61C2211yescharacteristic, complemented
247C61×#520C2211yescharacteristic, complemented
248C61×#520C2212yescomplemented
249C61×#520C2211yescharacteristic, complemented
250C61×#520C2214yescomplemented
251C61×#518C2212yescomplemented
252C61×#518C2212yescomplemented
253C4×#41×C61C2212yescomplemented
254C2×C4×D4×C61C2214yescomplemented
255C2×C4×D4×C61C2211yescharacteristic, complemented
256C2×C4×D4×C61C2212yescomplemented
257C2×C4×D4×C61C2211yescharacteristic, complemented
258C22×C4⋊C4×C61C2212yescomplemented
2592−1+4×C61—44no—
260H(5,𝔽2)×C61—44no—
261C2×#41×C61—44no—
262C2×#41×C61—44no—
263C2×#41×C61—48no—
264C2×#41×C61C2312yes—
265C2×#41×C61C2311yescharacteristic
266C2×#41×C61C2312yes—
267C2×#41×C61C2311yescharacteristic
268C2×#41×C61C2314yes—
269C2×#41×C61C2314yes—
270C2×#41×C61C2312yes—
271C2×#41×C61C2312yes—
272C2×#41×C61C2312yes—
273C2×#41×C61C2311yescharacteristic
274C2×#41×C61C2311yescharacteristic
275C2×#41×C61C2312yes—
276C2×#41×C61C2314yes—
277C2×#41×C61C2312yes—
278C2×#41×C61C2311yescharacteristic
279C2×#41×C61C2312yes—
280C2×#41×C61C2311yescharacteristic
281C2×#41×C61C2314yes—
282C2×#41×C61C2314yes—
283C2×#41×C61C2312yes—
284C2×#41×C61C2312yes—
285C22×Q8×C61C2311yescharacteristic
286C22×Q8×C61C2311yescharacteristic
287C22×Q8×C61C2312yes—
288C22×Q8×C61C2312yes—
289C22×Q8×C61C2312yes—
290C22×Q8×C61C2311yescharacteristic
291C22×D4×C61C2311yescharacteristic
292C22×D4×C61C2312yes—
293C22×D4×C61C2311yescharacteristic
294C22×D4×C61C2312yes—
295C22×D4×C61C2312yes—
296C22×D4×C61C2314yes—
297C22×D4×C61C2312yes—
298C22×D4×C61C2314yes—
299C22×D4×C61C2311yescharacteristic
300C22×D4×C61C2314yes—
301C22×D4×C61C2312yes—
302C22×D4×C61C2312yes—
303C23×C4×C61C2312yes—
304C23×C4×C61C2312yes—
305C23×C4×C61C2311yescharacteristic
306C23×C4×C61C2311yescharacteristic
307C23×C4×C61C2314yes—
308C23×C4×C61C2312yes—
309C23×C4×C61C2312yes—
310C4⋊Q8×C61C2312yes—
311C4⋊Q8×C61C2312yes—
312C4⋊Q8×C61C2314yes—
313C4⋊Q8×C61C2312yes—
314C4⋊Q8×C61C2314yes—
315C4⋊Q8×C61C2312yes—
316C4⋊Q8×C61C2312yes—
317C4⋊Q8×C61C2314yes—
318C4⋊Q8×C61C2314yes—
319C4⋊Q8×C61C2314yes—
320C4⋊Q8×C61C2314yes—
321#127×C61C2312yes—
322#127×C61C2314yes—
323#127×C61C2314yes—
324#126×C61C2314yes—
325#126×C61C2314yes—
326#126×C61C2314yes—
327#126×C61C2314yes—
328#126×C61C2314yes—
329#126×C61C2312yes—
330#126×C61C2314yes—
331#126×C61C2312yes—
332#126×C61C2314yes—
333#126×C61C2314yes—
334#126×C61C2312yes—
335#126×C61C2312yes—
336#126×C61C2314yes—
337#126×C61C2312yes—
338#126×C61C2312yes—
339#126×C61C2314yes—
340#126×C61C2314yes—
341#126×C61C2314yes—
342#126×C61C2314yes—
343#126×C61C2314yes—
344#126×C61C2314yes—
345#126×C61C2314yes—
346#126×C61C2314yes—
347#126×C61C2314yes—
348#126×C61C2314yes—
349#126×C61C2314yes—
350#125×C61C2314yes—
351#125×C61C2312yes—
352#125×C61C2312yes—
353#125×C61C2314yes—
354#125×C61C2314yes—
355#125×C61C2314yes—
356#125×C61C2314yes—
357#125×C61C2314yes—
358#125×C61C2314yes—
359#125×C61C2314yes—
360#125×C61C2314yes—
361#125×C61C2312yes—
362#125×C61C2314yes—
363#125×C61C2314yes—
364#125×C61C2314yes—
365#125×C61C2314yes—
366#125×C61C2314yes—
367#125×C61C2314yes—
368#125×C61C2312yes—
369#125×C61C2312yes—
370#124×C61C2312yes—
371#124×C61C2312yes—
372#124×C61C2314yes—
373#124×C61C2314yes—
374#124×C61C2312yes—
375#124×C61C2314yes—
376#124×C61C2312yes—
377#124×C61C2314yes—
378#124×C61C2314yes—
379#124×C61C2314yes—
380#124×C61C2314yes—
381#124×C61C2312yes—
382#124×C61C2312yes—
383#124×C61C2314yes—
384#124×C61C2314yes—
385#124×C61C2312yes—
386#124×C61C2314yes—
387#124×C61C2314yes—
388#123×C61C2314yes—
389#123×C61C2314yes—
390#123×C61C2314yes—
391#123×C61C2314yes—
392#123×C61C2312yes—
393#123×C61C2314yes—
394#123×C61C2312yes—
395#123×C61C2312yes—
396#123×C61C2314yes—
397#123×C61C2312yes—
398#123×C61C2314yes—
399#123×C61C2314yes—
400#123×C61C2314yes—
401#123×C61C2314yes—
402#123×C61C2312yes—
403#123×C61C2312yes—
404#123×C61C2314yes—
405#123×C61C2314yes—
406#123×C61C2314yes—
407#123×C61C2314yes—
408#123×C61C2314yes—
409#123×C61C2314yes—
410#123×C61C2314yes—
411#123×C61C2314yes—
412#123×C61C2314yes—
413#123×C61C2314yes—
414#123×C61C2314yes—
415#123×C61C2314yes—
416#123×C61C2312yes—
417#123×C61C2314yes—
418#123×C61C2314yes—
419#123×C61C2312yes—
420#123×C61C2312yes—
421#123×C61C2312yes—
422#123×C61C2312yes—
423#123×C61C2312yes—
424#123×C61C2314yes—
425#123×C61C2314yes—
426#123×C61C2314yes—
427#123×C61C2314yes—
428#123×C61C2314yes—
429#123×C61C2314yes—
430#123×C61C2314yes—
431#123×C61C2314yes—
432#123×C61C2314yes—
433#123×C61C2314yes—
434#123×C61C2314yes—
435#123×C61C2314yes—
436#123×C61C2314yes—
437#123×C61C2314yes—
438#123×C61C2314yes—
439#123×C61C2314yes—
440#123×C61C2314yes—
441#123×C61C2314yes—
442#123×C61C2314yes—
443#123×C61C2314yes—
444#123×C61C2314yes—
445#123×C61C2314yes—
446#123×C61C2314yes—
447#123×C61C2314yes—
448C22⋊Q8×C61C2314yes—
449C22⋊Q8×C61C2312yes—
450C22⋊Q8×C61C2312yes—
451C22⋊Q8×C61C2312yes—
452C22⋊Q8×C61C2311yescharacteristic
453C22⋊Q8×C61C2314yes—
454C22⋊Q8×C61C2312yes—
455C22⋊Q8×C61C2314yes—
456C22⋊Q8×C61C2312yes—
457C22⋊Q8×C61C2314yes—
458C22⋊Q8×C61C2312yes—
459C22⋊Q8×C61C2312yes—
460C22⋊Q8×C61C2314yes—
461C22⋊Q8×C61C2314yes—
462C22⋊Q8×C61C2314yes—
463C22⋊Q8×C61C2312yes—
464C22⋊Q8×C61C2312yes—
465C22⋊Q8×C61C2312yes—
466C22⋊Q8×C61C2312yes—
467C22⋊Q8×C61C2311yescharacteristic
468C22⋊Q8×C61C2312yes—
469C22⋊Q8×C61C2314yes—
470C22⋊Q8×C61C2314yes—
471C22⋊Q8×C61C2314yes—
472C22⋊Q8×C61C2314yes—
473C22⋊Q8×C61C2314yes—
474C22⋊Q8×C61C2312yes—
475C22⋊Q8×C61C2312yes—
476C22⋊Q8×C61C2312yes—
477C22⋊Q8×C61C2314yes—
478C22⋊Q8×C61C2312yes—
479C22⋊Q8×C61C2312yes—
480C22⋊Q8×C61C2312yes—
481C22⋊Q8×C61C2314yes—
482C22⋊Q8×C61C2314yes—
483C22⋊Q8×C61C2314yes—
484C22⋊Q8×C61C2312yes—
485C22⋊Q8×C61C2312yes—
486C22⋊Q8×C61C2312yes—
487C22⋊Q8×C61C2312yes—
488C22⋊Q8×C61C2311yescharacteristic
489C22⋊Q8×C61C2314yes—
490C22⋊Q8×C61C2314yes—
491C22⋊Q8×C61C2314yes—
492C22⋊Q8×C61C2314yes—
493C22⋊Q8×C61C2314yes—
494C22⋊Q8×C61C2312yes—
495C22⋊Q8×C61C2314yes—
496C22⋊Q8×C61C2314yes—
497C22⋊Q8×C61C2314yes—
498C22⋊Q8×C61C2314yes—
499C22⋊Q8×C61C2314yes—
500C22⋊Q8×C61C2314yes—
501C22⋊Q8×C61C2314yes—
502C22⋊Q8×C61C2314yes—
503C22⋊Q8×C61C2314yes—
504C22⋊Q8×C61C2311yescharacteristic
505C22⋊Q8×C61C2312yes—
506C22⋊Q8×C61C2314yes—
507C22⋊Q8×C61C2312yes—
508C22⋊Q8×C61C2314yes—
509C22⋊Q8×C61C2312yes—
510C22⋊Q8×C61C2312yes—
511#121×C61C2314yes—
512#121×C61C2314yes—
513#121×C61C2314yes—
514#121×C61C2314yes—
515#121×C61C2314yes—
516#121×C61C2314yes—
517#121×C61C2312yes—
518#121×C61C2311yescharacteristic
519#121×C61C2314yes—
520#121×C61C2314yes—
521#121×C61C2314yes—
522#121×C61C2314yes—
523#121×C61C2312yes—
524#121×C61C2314yes—
525#121×C61C2314yes—
526#121×C61C2312yes—
527#121×C61C2312yes—
528#121×C61C2311yescharacteristic
529#121×C61C2312yes—
530#121×C61C2314yes—
531#121×C61C2314yes—
532#121×C61C2314yes—
533#121×C61C2311yescharacteristic
534#121×C61C2312yes—
535#121×C61C2312yes—
536#121×C61C2312yes—
537#121×C61C2312yes—
538#121×C61C2311yescharacteristic
539#121×C61C2314yes—
540#121×C61C2314yes—
541#121×C61C2314yes—
542#121×C61C2312yes—
543#121×C61C2314yes—
544#121×C61C2312yes—
545#121×C61C2314yes—
546#121×C61C2314yes—
547#121×C61C2314yes—
548#121×C61C2314yes—
549#121×C61C2314yes—
550#121×C61C2314yes—
551#121×C61C2314yes—
552#121×C61C2312yes—
553#121×C61C2312yes—
554#121×C61C2312yes—
555#121×C61C2312yes—
556#121×C61C2312yes—
557#121×C61C2314yes—
558#121×C61C2312yes—
559#121×C61C2314yes—
560#121×C61C2314yes—
561#121×C61C2314yes—
562#121×C61C2314yes—
563#121×C61C2314yes—
564#121×C61C2314yes—
565#121×C61C2314yes—
566#121×C61C2314yes—
567#121×C61C2314yes—
568#121×C61C2312yes—
569#121×C61C2312yes—
570#120×C61C2312yes—
571#120×C61C2312yes—
572#120×C61C2314yes—
573#120×C61C2314yes—
574#120×C61C2314yes—
575#120×C61C2312yes—
576#120×C61C2314yes—
577#120×C61C2314yes—
578#120×C61C2312yes—
579#120×C61C2314yes—
580#120×C61C2312yes—
581#120×C61C2312yes—
582#120×C61C2314yes—
583#120×C61C2314yes—
584#120×C61C2314yes—
585#120×C61C2314yes—
586#120×C61C2314yes—
587#120×C61C2314yes—
588C4×Q8×C61C2312yes—
589C4×Q8×C61C2312yes—
590C4×Q8×C61C2314yes—
591C4×Q8×C61C2312yes—
592C4×Q8×C61C2312yes—
593C4×Q8×C61C2312yes—
594C4×Q8×C61C2314yes—
595C4×Q8×C61C2312yes—
596C4×Q8×C61C2314yes—
597C4×Q8×C61C2312yes—
598C4×D4×C61C2314yes—
599C4×D4×C61C2312yes—
600C4×D4×C61C2314yes—
601C4×D4×C61C2314yes—
602C4×D4×C61C2314yes—
603C4×D4×C61C2314yes—
604C4×D4×C61C2312yes—
605C4×D4×C61C2312yes—
606C4×D4×C61C2314yes—
607C4×D4×C61C2312yes—
608C4×D4×C61C2314yes—
609C4×D4×C61C2312yes—
610C4×D4×C61C2312yes—
611C4×D4×C61C2314yes—
612C4×D4×C61C2314yes—
613C4×D4×C61C2314yes—
614C4×D4×C61C2314yes—
615C4×D4×C61C2314yes—
616C4×D4×C61C2314yes—
617C4×D4×C61C2314yes—
618C4×D4×C61C2314yes—
619C4×D4×C61C2314yes—
620C4×D4×C61C2314yes—
621C4×D4×C61C2314yes—
622C4×D4×C61C2314yes—
623C4×D4×C61C2314yes—
624C4×D4×C61C2314yes—
625C4×D4×C61C2314yes—
626C4×D4×C61C2314yes—
627C4×D4×C61C2314yes—
628C4×D4×C61C2314yes—
629C4×D4×C61C2314yes—
630C4×D4×C61C2314yes—
631C4×D4×C61C2314yes—
632C4×D4×C61C2314yes—
633C4×D4×C61C2314yes—
634C4×D4×C61C2314yes—
635C4×D4×C61C2314yes—
636C4×D4×C61C2314yes—
637C4×D4×C61C2314yes—
638C4×D4×C61C2312yes—
639C4×D4×C61C2312yes—
640C4×D4×C61C2314yes—
641C4×D4×C61C2312yes—
642C4×D4×C61C2312yes—
643C4×D4×C61C2312yes—
644C4×D4×C61C2312yes—
645C4×D4×C61C2312yes—
646C4×D4×C61C2312yes—
647C4×D4×C61C2312yes—
648C4×D4×C61C2312yes—
649C4×D4×C61C2312yes—
650C4×D4×C61C2312yes—
651C4×D4×C61C2312yes—
652C4×D4×C61C2312yes—
653C4×D4×C61C2312yes—
654#117×C61C2314yes—
655#117×C61C2311yescharacteristic
656#117×C61C2312yes—
657#117×C61C2312yes—
658#117×C61C2312yes—
659#117×C61C2311yescharacteristic
660#117×C61C2314yes—
661#117×C61C2312yes—
662#117×C61C2312yes—
663#117×C61C2314yes—
664#117×C61C2314yes—
665#117×C61C2314yes—
666#117×C61C2314yes—
667#117×C61C2314yes—
668#117×C61C2314yes—
669#117×C61C2314yes—
670#117×C61C2314yes—
671#117×C61C2312yes—
672C2×C4⋊C4×C61C2312yes—
673C2×C4⋊C4×C61C2312yes—
674C2×C4⋊C4×C61C2312yes—
675C2×C4⋊C4×C61C2312yes—
676C2×C4⋊C4×C61C2314yes—
677C2×C4⋊C4×C61C2312yes—
678C2×C4⋊C4×C61C2312yes—
679C2×C4⋊C4×C61C2311yescharacteristic
680C2×C4⋊C4×C61C2311yescharacteristic
681C2×C4⋊C4×C61C2311yescharacteristic
682C2×C4⋊C4×C61C2314yes—
683C2×C4⋊C4×C61C2314yes—
684C2×C4⋊C4×C61C2312yes—
685C2×C4⋊C4×C61C2312yes—
686C2×C4⋊C4×C61C2312yes—
687C2×C4⋊C4×C61C2314yes—
688C2×C4⋊C4×C61C2314yes—
689C2×C4⋊C4×C61C2314yes—
690C2×C4⋊C4×C61C2314yes—
691C2×C4⋊C4×C61C2314yes—
692C2×C4⋊C4×C61C2314yes—
693C2×C4⋊C4×C61C2314yes—
694C2×C4⋊C4×C61C2311yescharacteristic
695C2×C4⋊C4×C61C2314yes—
696C2×C22⋊C4×C61C2311yescharacteristic
697C2×C22⋊C4×C61C2314yes—
698C2×C22⋊C4×C61C2312yes—
699C2×C22⋊C4×C61C2312yes—
700C2×C22⋊C4×C61C2314yes—
701C2×C22⋊C4×C61C2314yes—
702C2×C22⋊C4×C61C2312yes—
703C2×C22⋊C4×C61C2311yescharacteristic
704C2×C22⋊C4×C61C2314yes—
705C2×C22⋊C4×C61C2312yes—
706C2×C22⋊C4×C61C2314yes—
707C2×C22⋊C4×C61C2314yes—
708C2×C22⋊C4×C61C2314yes—
709C2×C22⋊C4×C61C2314yes—
710C2×C22⋊C4×C61C2314yes—
711C2×C22⋊C4×C61C2312yes—
712C2×C22⋊C4×C61C2312yes—
713C2×C22⋊C4×C61C2312yes—
714C2×C42×C61C2311yescharacteristic
715C2×C42×C61C2312yes—
716C2×C42×C61C2314yes—
717C24×C61C2412yes—
718C24×C61C2414yes—
719C24×C61C2411yescharacteristic
720C24×C61C2411yescharacteristic
721C24×C61C2412yes—
722C24×C61C2412yes—
723#41×C61—28no—
724#41×C61—24no—
725#41×C61—24no—
726#41×C61—28no—
727#41×C61—42no—
728#41×C61—42no—
729#41×C61—48no—
730#41×C61—48no—
731#41×C61—44no—
732#41×C61—48no—
733#41×C61—44no—
734#41×C61—48no—
735#41×C61—44no—
736#41×C61—48no—
737#41×C61—44no—
738#41×C61—44no—
739#41×C61—44no—
740#41×C61—42no—
741#41×C61—44no—
742#41×C61—42no—
743#41×C61—44no—
744C2×Q8×C61—44no—
745C2×Q8×C61—42no—
746C2×Q8×C61—42no—
747C2×Q8×C61—44no—
748C2×Q8×C61—44no—
749C2×Q8×C61—42no—
750C2×Q8×C61C2412yes—
751C2×Q8×C61C2411yescharacteristic
752C2×Q8×C61C2412yes—
753C2×Q8×C61C2411yescharacteristic
754C2×Q8×C61C2412yes—
755C2×Q8×C61C2414yes—
756C2×Q8×C61C2411yescharacteristic
757C2×Q8×C61C2414yes—
758C2×Q8×C61C2412yes—
759C2×Q8×C61C2411yescharacteristic
760C2×Q8×C61C2412yes—
761C2×Q8×C61C2414yes—
762C2×Q8×C61C2412yes—
763C2×D4×C61—24no—
764C2×D4×C61—28no—
765C2×D4×C61—42no—
766C2×D4×C61—42no—
767C2×D4×C61—44no—
768C2×D4×C61—48no—
769C2×D4×C61—44no—
770C2×D4×C61—44no—
771C2×D4×C61—44no—
772C2×D4×C61—44no—
773C2×D4×C61—48no—
774C2×D4×C61—48no—
775C2×D4×C61C2412yes—
776C2×D4×C61C2414yes—
777C2×D4×C61C2412yes—
778C2×D4×C61C2412yes—
779C2×D4×C61C2412yes—
780C2×D4×C61C2414yes—
781C2×D4×C61C2414yes—
782C2×D4×C61C2414yes—
783C2×D4×C61C2412yes—
784C2×D4×C61C2412yes—
785C2×D4×C61C2411yescharacteristic
786C2×D4×C61C2412yes—
787C2×D4×C61C2412yes—
788C2×D4×C61C2414yes—
789C2×D4×C61C2412yes—
790C2×D4×C61C2414yes—
791C2×D4×C61C2414yes—
792C2×D4×C61C2414yes—
793C2×D4×C61C2412yes—
794C2×D4×C61C2412yes—
795C2×D4×C61C2414yes—
796C2×D4×C61C2412yes—
797C2×D4×C61C2414yes—
798C2×D4×C61C2414yes—
799C2×D4×C61C2412yes—
800C2×D4×C61C2412yes—
801C2×D4×C61C2411yescharacteristic
802C2×D4×C61C2412yes—
803C2×D4×C61C2414yes—
804C2×D4×C61C2411yescharacteristic
805C2×D4×C61C2412yes—
806C2×D4×C61C2414yes—
807C2×D4×C61C2414yes—
808C2×D4×C61C2414yes—
809C2×D4×C61C2412yes—
810C2×D4×C61C2412yes—
811C2×D4×C61C2411yescharacteristic
812C22×C4×C61—42no—
813C22×C4×C61—42no—
814C22×C4×C61—44no—
815C22×C4×C61—44no—
816C22×C4×C61—44no—
817C22×C4×C61—48no—
818C22×C4×C61—44no—
819C22×C4×C61C2414yes—
820C22×C4×C61C2411yescharacteristic
821C22×C4×C61C2411yescharacteristic
822C22×C4×C61C2412yes—
823C22×C4×C61C2412yes—
824C22×C4×C61C2414yes—
825C22×C4×C61C2412yes—
826C22×C4×C61C2412yes—
827C22×C4×C61C2412yes—
828C22×C4×C61C2411yescharacteristic
829C22×C4×C61C2411yescharacteristic
830C22×C4×C61C2412yes—
831C22×C4×C61C2411yescharacteristic
832C22×C4×C61C2414yes—
833C22×C4×C61C2412yes—
834C22×C4×C61C2414yes—
835C22×C4×C61C2412yes—
836C22×C4×C61C2414yes—
837C22×C4×C61C2414yes—
838C22×C4×C61C2414yes—
839C22×C4×C61C2411yescharacteristic
840C22×C4×C61C2411yescharacteristic
841C22×C4×C61C2412yes—
842C22×C4×C61C2412yes—
843C22×C4×C61C2411yescharacteristic
844C22×C4×C61C2412yes—
845C22×C4×C61C2414yes—
846C22×C4×C61C2412yes—
847C22×C4×C61C2412yes—
848C22×C4×C61C2414yes—
849C22×C4×C61C2412yes—
850C22×C4×C61C2414yes—
851C22×C4×C61C2412yes—
852C22×C4×C61C2414yes—
853C22×C4×C61C2414yes—
854C22×C4×C61C2412yes—
855C22×C4×C61C2414yes—
856C22×C4×C61C2414yes—
857C22×C4×C61C2412yes—
858C22×C4×C61C2411yescharacteristic
859C22×C4×C61C2412yes—
860C22×C4×C61C2412yes—
861C22×C4×C61C2414yes—
862C4⋊C4×C61C2412yes—
863C4⋊C4×C61C2412yes—
864C4⋊C4×C61C2414yes—
865C4⋊C4×C61C2414yes—
866C4⋊C4×C61C2412yes—
867C4⋊C4×C61C2412yes—
868C4⋊C4×C61C2414yes—
869C4⋊C4×C61C2414yes—
870C4⋊C4×C61C2414yes—
871C4⋊C4×C61C2414yes—
872C4⋊C4×C61C2412yes—
873C4⋊C4×C61C2414yes—
874C4⋊C4×C61C2412yes—
875C4⋊C4×C61C2412yes—
876C4⋊C4×C61C2411yescharacteristic
877C4⋊C4×C61C2414yes—
878C4⋊C4×C61C2411yescharacteristic
879C4⋊C4×C61C2414yes—
880C4⋊C4×C61C2412yes—
881C4⋊C4×C61C2412yes—
882C4⋊C4×C61C2414yes—
883C4⋊C4×C61C2414yes—
884C4⋊C4×C61C2412yes—
885C4⋊C4×C61C2412yes—
886C4⋊C4×C61C2414yes—
887C4⋊C4×C61C2412yes—
888C4⋊C4×C61C2412yes—
889C4⋊C4×C61C2414yes—
890C4⋊C4×C61C2414yes—
891C4⋊C4×C61C2414yes—
892C4⋊C4×C61C2414yes—
893C4⋊C4×C61C2414yes—
894C4⋊C4×C61C2414yes—
895C4⋊C4×C61C2414yes—
896C4⋊C4×C61C2412yes—
897C4⋊C4×C61C2414yes—
898C4⋊C4×C61C2414yes—
899C4⋊C4×C61C2412yes—
900C4⋊C4×C61C2412yes—
901C4⋊C4×C61C2414yes—
902C4⋊C4×C61C2414yes—
903C4⋊C4×C61C2414yes—
904C4⋊C4×C61C2414yes—
905C4⋊C4×C61C2414yes—
906C4⋊C4×C61C2414yes—
907C4⋊C4×C61C2411yescharacteristic
908C4⋊C4×C61C2411yescharacteristic
909C4⋊C4×C61C2412yes—
910C4⋊C4×C61C2414yes—
911C4⋊C4×C61C2412yes—
912C4⋊C4×C61C2412yes—
913C4⋊C4×C61C2412yes—
914C4⋊C4×C61C2414yes—
915C4⋊C4×C61C2414yes—
916C4⋊C4×C61C2414yes—
917C4⋊C4×C61C2412yes—
918C4⋊C4×C61C2414yes—
919C4⋊C4×C61C2412yes—
920C22⋊C4×C61C2412yes—
921C22⋊C4×C61C2412yes—
922C22⋊C4×C61C2412yes—
923C22⋊C4×C61C2414yes—
924C22⋊C4×C61C2414yes—
925C22⋊C4×C61C2414yes—
926C22⋊C4×C61C2414yes—
927C22⋊C4×C61C2412yes—
928C22⋊C4×C61C2414yes—
929C22⋊C4×C61C2412yes—
930C22⋊C4×C61C2412yes—
931C22⋊C4×C61C2414yes—
932C22⋊C4×C61C2414yes—
933C22⋊C4×C61C2412yes—
934C22⋊C4×C61C2412yes—
935C22⋊C4×C61C2414yes—
936C22⋊C4×C61C2414yes—
937C22⋊C4×C61C2414yes—
938C22⋊C4×C61C2414yes—
939C22⋊C4×C61C2412yes—
940C22⋊C4×C61C2414yes—
941C22⋊C4×C61C2412yes—
942C22⋊C4×C61C2414yes—
943C22⋊C4×C61C2414yes—
944C22⋊C4×C61C2414yes—
945C22⋊C4×C61C2414yes—
946C22⋊C4×C61C2414yes—
947C22⋊C4×C61C2414yes—
948C22⋊C4×C61C2414yes—
949C22⋊C4×C61C2412yes—
950C22⋊C4×C61C2414yes—
951C22⋊C4×C61C2412yes—
952C22⋊C4×C61C2412yes—
953C22⋊C4×C61C2412yes—
954C22⋊C4×C61C2412yes—
955C22⋊C4×C61C2414yes—
956C22⋊C4×C61C2414yes—
957C22⋊C4×C61C2414yes—
958C22⋊C4×C61C2412yes—
959C22⋊C4×C61C2414yes—
960C22⋊C4×C61C2414yes—
961C22⋊C4×C61C2412yes—
962C22⋊C4×C61C2414yes—
963C22⋊C4×C61C2414yes—
964C22⋊C4×C61C2414yes—
965C22⋊C4×C61C2412yes—
966C22⋊C4×C61C2412yes—
967C22⋊C4×C61C2414yes—
968C22⋊C4×C61C2414yes—
969C22⋊C4×C61C2414yes—
970C22⋊C4×C61C2412yes—
971C22⋊C4×C61C2412yes—
972C22⋊C4×C61C2412yes—
973C22⋊C4×C61C2414yes—
974C22⋊C4×C61C2414yes—
975C22⋊C4×C61C2412yes—
976C22⋊C4×C61C2412yes—
977C22⋊C4×C61C2414yes—
978C42×C61C2412yes—
979C42×C61C2414yes—
980C42×C61C2412yes—
981C42×C61C2412yes—
982C42×C61C2412yes—
983C42×C61C2412yes—
984C42×C61C2412yes—
985C42×C61C2414yes—
986C42×C61C2414yes—
987C42×C61C2414yes—
988C42×C61C2414yes—
989C42×C61C2414yes—
990C42×C61C2414yes—
991C42×C61C2414yes—
992C23×C61—24no—
993C23×C61—24no—
994C23×C61—28no—
995C23×C61—22no—
996C23×C61—22no—
997C23×C61—42no—
998C23×C61—41no—
999C23×C61—41no—
1000C23×C61—42no—
1001C23×C61—44no—
1002C23×C61—42no—
1003C23×C61—44no—
1004C23×C61—41no—
1005C23×C61—41no—
1006C23×C61—42no—
1007C23×C61—42no—
1008C23×C61—42no—
1009C23×C61—42no—
1010C23×C61C2512yes—
1011C23×C61C2511yescharacteristic
1012C23×C61C2512yes—
1013C23×C61C2514yes—
1014C23×C61C2512yes—
1015C23×C61C2511yescharacteristic
1016C23×C61C2512yes—
1017C23×C61C2512yes—
1018C23×C61C2511yescharacteristic
1019Q8×C61—22no—
1020Q8×C61—24no—
1021Q8×C61—24no—
1022Q8×C61—22no—
1023Q8×C61—41no—
1024Q8×C61—44no—
1025Q8×C61—42no—
1026Q8×C61—44no—
1027Q8×C61—42no—
1028Q8×C61—42no—
1029Q8×C61—42no—
1030Q8×C61—44no—
1031Q8×C61—41no—
1032D4×C61—28no—
1033D4×C61—24no—
1034D4×C61—24no—
1035D4×C61—28no—
1036D4×C61—24no—
1037D4×C61—28no—
1038D4×C61—24no—
1039D4×C61—28no—
1040D4×C61—24no—
1041D4×C61—24no—
1042D4×C61—22no—
1043D4×C61—41no—
1044D4×C61—42no—
1045D4×C61—42no—
1046D4×C61—44no—
1047D4×C61—42no—
1048D4×C61—42no—
1049D4×C61—42no—
1050D4×C61—44no—
1051D4×C61—44no—
1052D4×C61—44no—
1053D4×C61—42no—
1054D4×C61—42no—
1055D4×C61—44no—
1056D4×C61—44no—
1057D4×C61—44no—
1058D4×C61—42no—
1059D4×C61—44no—
1060D4×C61—44no—
1061D4×C61—42no—
1062D4×C61—42no—
1063D4×C61—42no—
1064D4×C61—44no—
1065D4×C61—44no—
1066D4×C61—42no—
1067D4×C61—41no—
1068D4×C61H(5,𝔽2)14yes—
1069C2×C4×C61—28no—
1070C2×C4×C61—24no—
1071C2×C4×C61—28no—
1072C2×C4×C61—24no—
1073C2×C4×C61—22no—
1074C2×C4×C61—24no—
1075C2×C4×C61—22no—
1076C2×C4×C61—24no—
1077C2×C4×C61—24no—
1078C2×C4×C61—22no—
1079C2×C4×C61—22no—
1080C2×C4×C61—24no—
1081C2×C4×C61—41no—
1082C2×C4×C61—42no—
1083C2×C4×C61—41no—
1084C2×C4×C61—44no—
1085C2×C4×C61—44no—
1086C2×C4×C61—42no—
1087C2×C4×C61—42no—
1088C2×C4×C61—44no—
1089C2×C4×C61—42no—
1090C2×C4×C61—42no—
1091C2×C4×C61—44no—
1092C2×C4×C61—44no—
1093C2×C4×C61—41no—
1094C2×C4×C61—42no—
1095C2×C4×C61—42no—
1096C2×C4×C61—41no—
1097C2×C4×C61—42no—
1098C2×C4×C61—44no—
1099C2×C4×C61—42no—
1100C2×C4×C61—44no—
1101C2×C4×C61—44no—
1102C2×C4×C61—41no—
1103C2×C4×C61—42no—
1104C2×C4×C61—44no—
1105C2×C4×C61—42no—
1106C2×C4×C61—42no—
1107C2×C4×C61—44no—
1108C2×C4×C61—42no—
1109C2×C4×C61—44no—
1110C2×C4×C61—44no—
1111C2×C4×C61—44no—
1112C2×C4×C61C2512yes—
1113C2×C4×C61C2512yes—
1114C2×C4×C61C2512yes—
1115C2×C4×C61C2514yes—
1116C2×C4×C61C2512yes—
1117C2×C4×C61C2514yes—
1118C2×C4×C61C2512yes—
1119C2×C4×C61C2512yes—
1120C2×C4×C61C2514yes—
1121C2×C4×C61C2512yes—
1122C2×C4×C61C2511yescharacteristic
1123C2×C4×C61C2514yes—
1124C2×C4×C61C2512yes—
1125C2×C4×C61C2512yes—
1126C2×C4×C61C2514yes—
1127C2×C4×C61C2512yes—
1128C2×C4×C61C2512yes—
1129C2×C4×C61C2511yescharacteristic
1130C2×C4×C61C2511yescharacteristic
1131C2×C4×C61C2511yescharacteristic
1132#62898C6111yesmaximal, characteristic, direct product factor, Sylow
1133C22×C61—21no—
1134C22×C61—22no—
1135C22×C61—22no—
1136C22×C61—21no—
1137C22×C61—22no—
1138C22×C61—21no—
1139C22×C61—22no—
1140C22×C61—22no—
1141C22×C61—21no—
1142C22×C61—22no—
1143C22×C61—24no—
1144C22×C61—22no—
1145C22×C61—22no—
1146C22×C61—21no—
1147C22×C61—24no—
1148C22×C61—22no—
1149C22×C61—22no—
1150C22×C61—21no—
1151C22×C61—21no—
1152C22×C61—22no—
1153C22×C61—24no—
1154C22×C61—22no—
1155C22×C61—22no—
1156C22×C61—22no—
1157C22×C61—21no—
1158C22×C61—48no—
1159C22×C61—82no—
1160C22×C61—82no—
1161C22×C61—88no—
1162C22×C61—84no—
1163C22×C61—162no—
1164C22×C61C2×H(5,𝔽2)14yes—
1165C22×C61#58512yes—
1166C22×C61C2611yescharacteristic
1167C4×C61—22no—
1168C4×C61—21no—
1169C4×C61—22no—
1170C4×C61—21no—
1171C4×C61—22no—
1172C4×C61—21no—
1173C4×C61—22no—
1174C4×C61—24no—
1175C4×C61—22no—
1176C4×C61—24no—
1177C4×C61—22no—
1178C4×C61—24no—
1179C4×C61—22no—
1180C4×C61—24no—
1181C4×C61—22no—
1182C4×C61—24no—
1183C4×C61—22no—
1184C4×C61—22no—
1185C4×C61—22no—
1186C4×C61C2×H(5,𝔽2)12yes—
1187#3562C2×C6112yescomplemented
1188#3560C2×C6114yescomplemented
1189#3559C2×C6114yescomplemented
1190#3554C2×C6112yescomplemented
1191#3552C2×C6112yescomplemented
1192#3541C2×C6112yescomplemented
1193#3539C2×C6112yescomplemented
1194#3538C2×C6111yescharacteristic, complemented
1195#3536C2×C6111yescharacteristic, complemented
1196#3535C2×C6112yescomplemented
1197#3535C2×C6114yescomplemented
1198#3534C2×C6112yescomplemented
1199#3534C2×C6114yescomplemented
1200#3533C2×C6114yescomplemented
1201#3521C2×C6112yescomplemented
1202#3520C2×C6112yescomplemented
1203#3515C2×C6112yescomplemented
1204#3513C2×C6114yescomplemented
1205#3513C2×C6112yescomplemented
1206#3505C2×C6111yescharacteristic, complemented
1207#3492C2×C6112yescomplemented
1208#3489C2×C6112yescomplemented
1209#3489C2×C6111yescharacteristic, complemented
1210#3488C2×C6111yescharacteristic, complemented
1211#3485C2×C6112yescomplemented
1212D4×#41C2×C6112yescomplemented
1213C2×#547C2×C6111yescharacteristic, complemented
1214#3459C2×C6111yescharacteristic, complemented
1215C2×#539C2×C6112yescomplemented
1216C2×C61—22no—
1217C2×C61—24no—
1218C2×C61—42no—
1219C2×C61—42no—
1220C2×C61—41no—
1221C2×C61—42no—
1222C2×C61—42no—
1223C2×C61—44no—
1224C2×C61—41no—
1225C2×C61C22×H(5,𝔽2)11yescharacteristic
1226C2×C61C2×#58511yescharacteristic
1227C2×C612−1+611yescharacteristic
1228C2×2−1+4C22×C6111yescharacteristic, complemented
1229C2×H(5,𝔽2)C22×C6111yescharacteristic, complemented
1230C22×#41C22×C6111yescharacteristic, complemented
1231C22×#41C22×C6111yescharacteristic, complemented
1232C22×#41C22×C6112yescomplemented
1233#563C22×C6114yescomplemented
1234#563C22×C6114yescomplemented
1235#563C22×C6114yescomplemented
1236#563C22×C6114yescomplemented
1237#562C22×C6114yescomplemented
1238#562C22×C6114yescomplemented
1239#562C22×C6114yescomplemented
1240#562C22×C6114yescomplemented
1241#562C22×C6114yescomplemented
1242#560C22×C6114yescomplemented
1243#560C22×C6114yescomplemented
1244#560C22×C6114yescomplemented
1245#559C22×C6114yescomplemented
1246#559C22×C6112yescomplemented
1247#557C22×C6112yescomplemented
1248#556C22×C6112yescomplemented
1249#556C22×C6112yescomplemented
1250#554C22×C6114yescomplemented
1251#554C22×C6114yescomplemented
1252#554C22×C6112yescomplemented
1253#554C22×C6114yescomplemented
1254#554C22×C6112yescomplemented
1255#554C22×C6114yescomplemented
1256#553C22×C6114yescomplemented
1257#553C22×C6114yescomplemented
1258#553C22×C6112yescomplemented
1259#553C22×C6114yescomplemented
1260#553C22×C6114yescomplemented
1261#553C22×C6112yescomplemented
1262#553C22×C6114yescomplemented
1263#553C22×C6114yescomplemented
1264#553C22×C6114yescomplemented
1265#553C22×C6114yescomplemented
1266#553C22×C6114yescomplemented
1267#552C22×C6114yescomplemented
1268#552C22×C6114yescomplemented
1269#552C22×C6112yescomplemented
1270#552C22×C6114yescomplemented
1271#552C22×C6112yescomplemented
1272#552C22×C6112yescomplemented
1273#552C22×C6114yescomplemented
1274#552C22×C6112yescomplemented
1275#551C22×C6114yescomplemented
1276#551C22×C6114yescomplemented
1277#551C22×C6114yescomplemented
1278#551C22×C6114yescomplemented
1279#551C22×C6114yescomplemented
1280#551C22×C6114yescomplemented
1281#551C22×C6114yescomplemented
1282#551C22×C6114yescomplemented
1283#551C22×C6114yescomplemented
1284#550C22×C6112yescomplemented
1285#550C22×C6112yescomplemented
1286D4×Q8C22×C6112yescomplemented
1287D4×Q8C22×C6112yescomplemented
1288D4×Q8C22×C6112yescomplemented
1289D4×Q8C22×C6112yescomplemented
1290#548C22×C6112yescomplemented
1291#548C22×C6112yescomplemented
1292#548C22×C6112yescomplemented
1293#548C22×C6112yescomplemented
1294#548C22×C6112yescomplemented
1295#548C22×C6112yescomplemented
1296#547C22×C6112yescomplemented
1297#547C22×C6112yescomplemented
1298#547C22×C6114yescomplemented
1299#547C22×C6114yescomplemented
1300#547C22×C6112yescomplemented
1301#547C22×C6112yescomplemented
1302#547C22×C6112yescomplemented
1303#547C22×C6114yescomplemented
1304#547C22×C6112yescomplemented
1305#547C22×C6114yescomplemented
1306#547C22×C6112yescomplemented
1307#547C22×C6114yescomplemented
1308#547C22×C6112yescomplemented
1309#547C22×C6114yescomplemented
1310#547C22×C6114yescomplemented
1311#547C22×C6114yescomplemented
1312#547C22×C6112yescomplemented
1313#546C22×C6112yescomplemented
1314#546C22×C6112yescomplemented
1315#546C22×C6114yescomplemented
1316#546C22×C6114yescomplemented
1317#546C22×C6112yescomplemented
1318#546C22×C6112yescomplemented
1319#546C22×C6114yescomplemented
1320#546C22×C6114yescomplemented
1321#546C22×C6112yescomplemented
1322#546C22×C6112yescomplemented
1323#546C22×C6114yescomplemented
1324#546C22×C6114yescomplemented
1325#546C22×C6114yescomplemented
1326#546C22×C6114yescomplemented
1327#546C22×C6114yescomplemented
1328#546C22×C6114yescomplemented
1329#546C22×C6114yescomplemented
1330D42C22×C6112yescomplemented
1331D42C22×C6114yescomplemented
1332D42C22×C6114yescomplemented
1333#544C22×C6112yescomplemented
1334#544C22×C6114yescomplemented
1335#544C22×C6112yescomplemented
1336#543C22×C6111yescharacteristic, complemented
1337#543C22×C6112yescomplemented
1338#542C22×C6114yescomplemented
1339#542C22×C6112yescomplemented
1340#542C22×C6114yescomplemented
1341#542C22×C6112yescomplemented
1342#542C22×C6114yescomplemented
1343#542C22×C6114yescomplemented
1344#541C22×C6112yescomplemented
1345#541C22×C6112yescomplemented
1346#541C22×C6112yescomplemented
1347#540C22×C6114yescomplemented
1348#540C22×C6112yescomplemented
1349#540C22×C6114yescomplemented
1350#540C22×C6114yescomplemented
1351#540C22×C6114yescomplemented
1352#539C22×C6111yescharacteristic, complemented
1353#539C22×C6112yescomplemented
1354#539C22×C6114yescomplemented
1355#539C22×C6114yescomplemented
1356#539C22×C6112yescomplemented
1357#539C22×C6114yescomplemented
1358#539C22×C6112yescomplemented
1359#539C22×C6114yescomplemented
1360#539C22×C6114yescomplemented
1361#539C22×C6114yescomplemented
1362#539C22×C6111yescharacteristic, complemented
1363#539C22×C6112yescomplemented
1364#539C22×C6112yescomplemented
1365#539C22×C6114yescomplemented
1366#539C22×C6114yescomplemented
1367#539C22×C6114yescomplemented
1368#539C22×C6114yescomplemented
1369#539C22×C6114yescomplemented
1370#539C22×C6114yescomplemented
1371#539C22×C6114yescomplemented
1372#539C22×C6112yescomplemented
1373#539C22×C6114yescomplemented
1374#538C22×C6112yescomplemented
1375#538C22×C6112yescomplemented
1376#538C22×C6112yescomplemented
1377#538C22×C6112yescomplemented
1378#538C22×C6114yescomplemented
1379#538C22×C6114yescomplemented
1380#538C22×C6114yescomplemented
1381#538C22×C6114yescomplemented
1382#538C22×C6114yescomplemented
1383#538C22×C6114yescomplemented
1384#538C22×C6112yescomplemented
1385#537C22×C6111yescharacteristic, complemented
1386#537C22×C6112yescomplemented
1387#537C22×C6114yescomplemented
1388#537C22×C6112yescomplemented
1389#537C22×C6111yescharacteristic, complemented
1390#537C22×C6112yescomplemented
1391#537C22×C6112yescomplemented
1392#536C22×C6112yescomplemented
1393#536C22×C6112yescomplemented
1394#536C22×C6112yescomplemented
1395#536C22×C6114yescomplemented
1396#536C22×C6112yescomplemented
1397#536C22×C6111yescharacteristic, complemented
1398#535C22×C6112yescomplemented
1399#535C22×C6111yescharacteristic, complemented
1400#534C22×C6111yescharacteristic, complemented
1401#534C22×C6112yescomplemented
1402#534C22×C6114yescomplemented
1403#534C22×C6114yescomplemented
1404#534C22×C6112yescomplemented
1405#533C22×C6112yescomplemented
1406#532C22×C6112yescomplemented
1407#532C22×C6114yescomplemented
1408C2×C4⋊Q8C22×C6111yescharacteristic, complemented
1409#529C22×C6112yescomplemented
1410#529C22×C6112yescomplemented
1411#529C22×C6112yescomplemented
1412#529C22×C6112yescomplemented
1413#529C22×C6114yescomplemented
1414#529C22×C6114yescomplemented
1415#529C22×C6112yescomplemented
1416C2×#126C22×C6114yescomplemented
1417C2×#125C22×C6114yescomplemented
1418#525C22×C6111yescharacteristic
1419#525C22×C6112yescomplemented
1420#525C22×C6111yescharacteristic, complemented
1421#525C22×C6112yescomplemented
1422#525C22×C6114yescomplemented
1423#525C22×C6112yescomplemented
1424#525C22×C6114yescomplemented
1425#525C22×C6112yescomplemented
1426#525C22×C6112yescomplemented
1427#525C22×C6112yescomplemented
1428#525C22×C6112yescomplemented
1429#525C22×C6114yescomplemented
1430#525C22×C6114yescomplemented
1431C2×#123C22×C6114yescomplemented
1432C2×#123C22×C6114yescomplemented
1433C2×#123C22×C6112yescomplemented
1434C2×#123C22×C6112yescomplemented
1435C2×#123C22×C6114yescomplemented
1436C2×C22⋊Q8C22×C6112yescomplemented
1437C2×C22⋊Q8C22×C6114yescomplemented
1438C2×C22⋊Q8C22×C6111yescharacteristic, complemented
1439C2×C22⋊Q8C22×C6111yescharacteristic, complemented
1440C2×C22⋊Q8C22×C6111yescharacteristic, complemented
1441C2×C22⋊Q8C22×C6112yescomplemented
1442C2×#121C22×C6112yes—
1443C2×#121C22×C6112yescomplemented
1444C2×#121C22×C6111yescharacteristic, complemented
1445#520C22×C6111yescharacteristic, complemented
1446#520C22×C6112yescomplemented
1447#520C22×C6111yescharacteristic, complemented
1448#520C22×C6114yescomplemented
1449#518C22×C6112yescomplemented
1450#518C22×C6112yescomplemented
1451C4×#41C22×C6112yescomplemented
1452C2×C4×D4C22×C6114yescomplemented
1453C2×C4×D4C22×C6111yescharacteristic, complemented
1454C2×C4×D4C22×C6112yescomplemented
1455C2×C4×D4C22×C6111yescharacteristic, complemented
1456C22×C4⋊C4C22×C6112yescomplemented
1457C61#6289811yescharacteristic, direct product factor, Sylow
14582−1+4—44no—
1459H(5,𝔽2)—44no—
1460C2×#41—44no—
1461C2×#41—44no—
1462C2×#41—48no—
1463C2×#41C23×C6112yes—
1464C2×#41C23×C6112yes—
1465C2×#41C23×C6111yescharacteristic
1466C2×#41C23×C6111yescharacteristic
1467C2×#41C23×C6114yes—
1468C2×#41C23×C6111yescharacteristic
1469C2×#41C23×C6111yescharacteristic
1470C2×#41C23×C6114yes—
1471C2×#41C23×C6114yes—
1472C2×#41C23×C6112yes—
1473C2×#41C23×C6112yes—
1474C2×#41C23×C6112yes—
1475C2×#41C23×C6112yes—
1476C2×#41C23×C6114yes—
1477C2×#41C23×C6112yes—
1478C2×#41C23×C6112yes—
1479C2×#41C23×C6111yescharacteristic
1480C2×#41C23×C6112yes—
1481C2×#41C23×C6114yes—
1482C2×#41C23×C6112yes—
1483C2×#41C23×C6111yescharacteristic
1484C22×Q8C23×C6112yes—
1485C22×Q8C23×C6111yescharacteristic
1486C22×Q8C23×C6111yescharacteristic
1487C22×Q8C23×C6111yescharacteristic
1488C22×Q8C23×C6112yes—
1489C22×Q8C23×C6112yes—
1490C22×D4C23×C6111yescharacteristic
1491C22×D4C23×C6112yes—
1492C22×D4C23×C6114yes—
1493C22×D4C23×C6111yescharacteristic
1494C22×D4C23×C6112yes—
1495C22×D4C23×C6112yes—
1496C22×D4C23×C6112yes—
1497C22×D4C23×C6112yes—
1498C22×D4C23×C6112yes—
1499C22×D4C23×C6111yescharacteristic
1500C22×D4C23×C6114yes—
1501C22×D4C23×C6114yes—
1502C23×C4C23×C6112yes—
1503C23×C4C23×C6112yes—
1504C23×C4C23×C6112yes—
1505C23×C4C23×C6111yescharacteristic
1506C23×C4C23×C6111yescharacteristic
1507C23×C4C23×C6114yes—
1508C23×C4C23×C6112yes—
1509C4⋊Q8C23×C6112yes—
1510C4⋊Q8C23×C6112yes—
1511C4⋊Q8C23×C6114yes—
1512C4⋊Q8C23×C6112yes—
1513C4⋊Q8C23×C6114yes—
1514C4⋊Q8C23×C6112yes—
1515C4⋊Q8C23×C6112yes—
1516C4⋊Q8C23×C6114yes—
1517C4⋊Q8C23×C6114yes—
1518C4⋊Q8C23×C6114yes—
1519C4⋊Q8C23×C6114yes—
1520#127C23×C6112yes—
1521#127C23×C6114yes—
1522#127C23×C6114yes—
1523#126C23×C6112yes—
1524#126C23×C6114yes—
1525#126C23×C6114yes—
1526#126C23×C6114yes—
1527#126C23×C6114yes—
1528#126C23×C6114yes—
1529#126C23×C6114yes—
1530#126C23×C6114yes—
1531#126C23×C6112yes—
1532#126C23×C6112yes—
1533#126C23×C6112yes—
1534#126C23×C6114yes—
1535#126C23×C6112yes—
1536#126C23×C6112yes—
1537#126C23×C6114yes—
1538#126C23×C6114yes—
1539#126C23×C6114yes—
1540#126C23×C6114yes—
1541#126C23×C6114yes—
1542#126C23×C6114yes—
1543#126C23×C6114yes—
1544#126C23×C6114yes—
1545#126C23×C6114yes—
1546#126C23×C6114yes—
1547#126C23×C6114yes—
1548#126C23×C6114yes—
1549#125C23×C6112yes—
1550#125C23×C6114yes—
1551#125C23×C6114yes—
1552#125C23×C6114yes—
1553#125C23×C6114yes—
1554#125C23×C6114yes—
1555#125C23×C6114yes—
1556#125C23×C6114yes—
1557#125C23×C6112yes—
1558#125C23×C6112yes—
1559#125C23×C6114yes—
1560#125C23×C6112yes—
1561#125C23×C6112yes—
1562#125C23×C6114yes—
1563#125C23×C6114yes—
1564#125C23×C6114yes—
1565#125C23×C6114yes—
1566#125C23×C6114yes—
1567#125C23×C6114yes—
1568#125C23×C6114yes—
1569#124C23×C6112yes—
1570#124C23×C6112yes—
1571#124C23×C6112yes—
1572#124C23×C6112yes—
1573#124C23×C6112yes—
1574#124C23×C6114yes—
1575#124C23×C6112yes—
1576#124C23×C6112yes—
1577#124C23×C6114yes—
1578#124C23×C6114yes—
1579#124C23×C6114yes—
1580#124C23×C6114yes—
1581#124C23×C6114yes—
1582#124C23×C6114yes—
1583#124C23×C6114yes—
1584#124C23×C6114yes—
1585#124C23×C6114yes—
1586#124C23×C6114yes—
1587#123C23×C6112yes—
1588#123C23×C6112yes—
1589#123C23×C6114yes—
1590#123C23×C6112yes—
1591#123C23×C6114yes—
1592#123C23×C6114yes—
1593#123C23×C6114yes—
1594#123C23×C6114yes—
1595#123C23×C6114yes—
1596#123C23×C6114yes—
1597#123C23×C6114yes—
1598#123C23×C6114yes—
1599#123C23×C6114yes—
1600#123C23×C6114yes—
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×C6114yes—
1611#123C23×C6114yes—
1612#123C23×C6114yes—
1613#123C23×C6114yes—
1614#123C23×C6114yes—
1615#123C23×C6114yes—
1616#123C23×C6114yes—
1617#123C23×C6112yes—
1618#123C23×C6112yes—
1619#123C23×C6114yes—
1620#123C23×C6114yes—
1621#123C23×C6114yes—
1622#123C23×C6114yes—
1623#123C23×C6114yes—
1624#123C23×C6112yes—
1625#123C23×C6112yes—
1626#123C23×C6112yes—
1627#123C23×C6114yes—
1628#123C23×C6114yes—
1629#123C23×C6112yes—
1630#123C23×C6112yes—
1631#123C23×C6112yes—
1632#123C23×C6112yes—
1633#123C23×C6114yes—
1634#123C23×C6114yes—
1635#123C23×C6114yes—
1636#123C23×C6114yes—
1637#123C23×C6114yes—
1638#123C23×C6114yes—
1639#123C23×C6114yes—
1640#123C23×C6114yes—
1641#123C23×C6114yes—
1642#123C23×C6114yes—
1643#123C23×C6114yes—
1644#123C23×C6114yes—
1645#123C23×C6114yes—
1646#123C23×C6114yes—
1647C22⋊Q8C23×C6112yes—
1648C22⋊Q8C23×C6112yes—
1649C22⋊Q8C23×C6111yescharacteristic
1650C22⋊Q8C23×C6114yes—
1651C22⋊Q8C23×C6112yes—
1652C22⋊Q8C23×C6112yes—
1653C22⋊Q8C23×C6112yes—
1654C22⋊Q8C23×C6112yes—
1655C22⋊Q8C23×C6114yes—
1656C22⋊Q8C23×C6112yes—
1657C22⋊Q8C23×C6114yes—
1658C22⋊Q8C23×C6112yes—
1659C22⋊Q8C23×C6112yes—
1660C22⋊Q8C23×C6114yes—
1661C22⋊Q8C23×C6112yes—
1662C22⋊Q8C23×C6112yes—
1663C22⋊Q8C23×C6112yes—
1664C22⋊Q8C23×C6112yes—
1665C22⋊Q8C23×C6112yes—
1666C22⋊Q8C23×C6112yes—
1667C22⋊Q8C23×C6114yes—
1668C22⋊Q8C23×C6114yes—
1669C22⋊Q8C23×C6114yes—
1670C22⋊Q8C23×C6114yes—
1671C22⋊Q8C23×C6114yes—
1672C22⋊Q8C23×C6114yes—
1673C22⋊Q8C23×C6114yes—
1674C22⋊Q8C23×C6112yes—
1675C22⋊Q8C23×C6111yescharacteristic
1676C22⋊Q8C23×C6111yescharacteristic
1677C22⋊Q8C23×C6112yes—
1678C22⋊Q8C23×C6111yescharacteristic
1679C22⋊Q8C23×C6114yes—
1680C22⋊Q8C23×C6112yes—
1681C22⋊Q8C23×C6112yes—
1682C22⋊Q8C23×C6112yes—
1683C22⋊Q8C23×C6112yes—
1684C22⋊Q8C23×C6112yes—
1685C22⋊Q8C23×C6114yes—
1686C22⋊Q8C23×C6112yes—
1687C22⋊Q8C23×C6114yes—
1688C22⋊Q8C23×C6114yes—
1689C22⋊Q8C23×C6114yes—
1690C22⋊Q8C23×C6112yes—
1691C22⋊Q8C23×C6114yes—
1692C22⋊Q8C23×C6114yes—
1693C22⋊Q8C23×C6112yes—
1694C22⋊Q8C23×C6114yes—
1695C22⋊Q8C23×C6112yes—
1696C22⋊Q8C23×C6112yes—
1697C22⋊Q8C23×C6114yes—
1698C22⋊Q8C23×C6114yes—
1699C22⋊Q8C23×C6114yes—
1700C22⋊Q8C23×C6114yes—
1701C22⋊Q8C23×C6114yes—
1702C22⋊Q8C23×C6114yes—
1703C22⋊Q8C23×C6114yes—
1704C22⋊Q8C23×C6114yes—
1705C22⋊Q8C23×C6114yes—
1706C22⋊Q8C23×C6114yes—
1707C22⋊Q8C23×C6114yes—
1708C22⋊Q8C23×C6114yes—
1709C22⋊Q8C23×C6114yes—
1710#121C23×C6111yescharacteristic
1711#121C23×C6112yes—
1712#121C23×C6112yes—
1713#121C23×C6112yes—
1714#121C23×C6114yes—
1715#121C23×C6114yes—
1716#121C23×C6112yes—
1717#121C23×C6114yes—
1718#121C23×C6112yes—
1719#121C23×C6114yes—
1720#121C23×C6112yes—
1721#121C23×C6114yes—
1722#121C23×C6114yes—
1723#121C23×C6111yescharacteristic
1724#121C23×C6111yescharacteristic
1725#121C23×C6112yes—
1726#121C23×C6112yes—
1727#121C23×C6112yes—
1728#121C23×C6114yes—
1729#121C23×C6112yes—
1730#121C23×C6112yes—
1731#121C23×C6111yescharacteristic
1732#121C23×C6114yes—
1733#121C23×C6112yes—
1734#121C23×C6114yes—
1735#121C23×C6112yes—
1736#121C23×C6112yes—
1737#121C23×C6112yes—
1738#121C23×C6112yes—
1739#121C23×C6114yes—
1740#121C23×C6114yes—
1741#121C23×C6114yes—
1742#121C23×C6114yes—
1743#121C23×C6114yes—
1744#121C23×C6112yes—
1745#121C23×C6112yes—
1746#121C23×C6112yes—
1747#121C23×C6114yes—
1748#121C23×C6114yes—
1749#121C23×C6114yes—
1750#121C23×C6114yes—
1751#121C23×C6114yes—
1752#121C23×C6114yes—
1753#121C23×C6114yes—
1754#121C23×C6114yes—
1755#121C23×C6114yes—
1756#121C23×C6114yes—
1757#121C23×C6114yes—
1758#121C23×C6114yes—
1759#121C23×C6114yes—
1760#121C23×C6114yes—
1761#121C23×C6114yes—
1762#121C23×C6114yes—
1763#121C23×C6114yes—
1764#121C23×C6114yes—
1765#121C23×C6114yes—
1766#121C23×C6114yes—
1767#121C23×C6114yes—
1768#121C23×C6114yes—
1769#120C23×C6112yes—
1770#120C23×C6114yes—
1771#120C23×C6114yes—
1772#120C23×C6112yes—
1773#120C23×C6112yes—
1774#120C23×C6114yes—
1775#120C23×C6114yes—
1776#120C23×C6114yes—
1777#120C23×C6112yes—
1778#120C23×C6114yes—
1779#120C23×C6112yes—
1780#120C23×C6112yes—
1781#120C23×C6114yes—
1782#120C23×C6114yes—
1783#120C23×C6114yes—
1784#120C23×C6114yes—
1785#120C23×C6114yes—
1786#120C23×C6114yes—
1787C4×Q8C23×C6112yes—
1788C4×Q8C23×C6112yes—
1789C4×Q8C23×C6112yes—
1790C4×Q8C23×C6112yes—
1791C4×Q8C23×C6114yes—
1792C4×Q8C23×C6112yes—
1793C4×Q8C23×C6112yes—
1794C4×Q8C23×C6114yes—
1795C4×Q8C23×C6112yes—
1796C4×Q8C23×C6114yes—
1797C4×D4C23×C6112yes—
1798C4×D4C23×C6114yes—
1799C4×D4C23×C6112yes—
1800C4×D4C23×C6112yes—
1801C4×D4C23×C6112yes—
1802C4×D4C23×C6112yes—
1803C4×D4C23×C6114yes—
1804C4×D4C23×C6112yes—
1805C4×D4C23×C6112yes—
1806C4×D4C23×C6112yes—
1807C4×D4C23×C6112yes—
1808C4×D4C23×C6112yes—
1809C4×D4C23×C6114yes—
1810C4×D4C23×C6112yes—
1811C4×D4C23×C6112yes—
1812C4×D4C23×C6114yes—
1813C4×D4C23×C6112yes—
1814C4×D4C23×C6114yes—
1815C4×D4C23×C6114yes—
1816C4×D4C23×C6114yes—
1817C4×D4C23×C6114yes—
1818C4×D4C23×C6112yes—
1819C4×D4C23×C6112yes—
1820C4×D4C23×C6112yes—
1821C4×D4C23×C6114yes—
1822C4×D4C23×C6114yes—
1823C4×D4C23×C6114yes—
1824C4×D4C23×C6114yes—
1825C4×D4C23×C6114yes—
1826C4×D4C23×C6114yes—
1827C4×D4C23×C6112yes—
1828C4×D4C23×C6114yes—
1829C4×D4C23×C6112yes—
1830C4×D4C23×C6114yes—
1831C4×D4C23×C6114yes—
1832C4×D4C23×C6114yes—
1833C4×D4C23×C6114yes—
1834C4×D4C23×C6114yes—
1835C4×D4C23×C6114yes—
1836C4×D4C23×C6114yes—
1837C4×D4C23×C6114yes—
1838C4×D4C23×C6112yes—
1839C4×D4C23×C6112yes—
1840C4×D4C23×C6112yes—
1841C4×D4C23×C6114yes—
1842C4×D4C23×C6114yes—
1843C4×D4C23×C6114yes—
1844C4×D4C23×C6114yes—
1845C4×D4C23×C6114yes—
1846C4×D4C23×C6114yes—
1847C4×D4C23×C6114yes—
1848C4×D4C23×C6114yes—
1849C4×D4C23×C6114yes—
1850C4×D4C23×C6114yes—
1851C4×D4C23×C6114yes—
1852C4×D4C23×C6114yes—
1853#117C23×C6114yes—
1854#117C23×C6112yes—
1855#117C23×C6112yes—
1856#117C23×C6112yes—
1857#117C23×C6114yes—
1858#117C23×C6111yescharacteristic
1859#117C23×C6112yes—
1860#117C23×C6111yescharacteristic
1861#117C23×C6112yes—
1862#117C23×C6114yes—
1863#117C23×C6112yes—
1864#117C23×C6114yes—
1865#117C23×C6114yes—
1866#117C23×C6114yes—
1867#117C23×C6114yes—
1868#117C23×C6114yes—
1869#117C23×C6114yes—
1870#117C23×C6114yes—
1871C2×C4⋊C4C23×C6111yescharacteristic
1872C2×C4⋊C4C23×C6112yes—
1873C2×C4⋊C4C23×C6112yes—
1874C2×C4⋊C4C23×C6112yes—
1875C2×C4⋊C4C23×C6114yes—
1876C2×C4⋊C4C23×C6114yes—
1877C2×C4⋊C4C23×C6114yes—
1878C2×C4⋊C4C23×C6114yes—
1879C2×C4⋊C4C23×C6111yescharacteristic
1880C2×C4⋊C4C23×C6114yes—
1881C2×C4⋊C4C23×C6112yes—
1882C2×C4⋊C4C23×C6112yes—
1883C2×C4⋊C4C23×C6111yescharacteristic
1884C2×C4⋊C4C23×C6114yes—
1885C2×C4⋊C4C23×C6112yes—
1886C2×C4⋊C4C23×C6112yes—
1887C2×C4⋊C4C23×C6111yescharacteristic
1888C2×C4⋊C4C23×C6114yes—
1889C2×C4⋊C4C23×C6114yes—
1890C2×C4⋊C4C23×C6114yes—
1891C2×C4⋊C4C23×C6112yes—
1892C2×C4⋊C4C23×C6112yes—
1893C2×C4⋊C4C23×C6114yes—
1894C2×C4⋊C4C23×C6114yes—
1895C2×C22⋊C4C23×C6111yescharacteristic
1896C2×C22⋊C4C23×C6114yes—
1897C2×C22⋊C4C23×C6111yescharacteristic
1898C2×C22⋊C4C23×C6112yes—
1899C2×C22⋊C4C23×C6114yes—
1900C2×C22⋊C4C23×C6112yes—
1901C2×C22⋊C4C23×C6112yes—
1902C2×C22⋊C4C23×C6112yes—
1903C2×C22⋊C4C23×C6114yes—
1904C2×C22⋊C4C23×C6114yes—
1905C2×C22⋊C4C23×C6114yes—
1906C2×C22⋊C4C23×C6114yes—
1907C2×C22⋊C4C23×C6112yes—
1908C2×C22⋊C4C23×C6112yes—
1909C2×C22⋊C4C23×C6112yes—
1910C2×C22⋊C4C23×C6114yes—
1911C2×C22⋊C4C23×C6114yes—
1912C2×C22⋊C4C23×C6114yes—
1913C2×C42C23×C6111yescharacteristic
1914C2×C42C23×C6114yes—
1915C2×C42C23×C6112yes—
1916C24C24×C6112yes—
1917C24C24×C6114yes—
1918C24C24×C6111yescharacteristic
1919C24C24×C6111yescharacteristic
1920C24C24×C6112yes—
1921C24C24×C6112yes—
1922#41—28no—
1923#41—24no—
1924#41—24no—
1925#41—28no—
1926#41—42no—
1927#41—42no—
1928#41—48no—
1929#41—48no—
1930#41—44no—
1931#41—48no—
1932#41—44no—
1933#41—44no—
1934#41—44no—
1935#41—48no—
1936#41—48no—
1937#41—44no—
1938#41—44no—
1939#41—42no—
1940#41—44no—
1941#41—42no—
1942#41—44no—
1943C2×Q8—44no—
1944C2×Q8—42no—
1945C2×Q8—42no—
1946C2×Q8—44no—
1947C2×Q8—42no—
1948C2×Q8—44no—
1949C2×Q8C24×C6111yescharacteristic
1950C2×Q8C24×C6112yes—
1951C2×Q8C24×C6112yes—
1952C2×Q8C24×C6111yescharacteristic
1953C2×Q8C24×C6112yes—
1954C2×Q8C24×C6114yes—
1955C2×Q8C24×C6111yescharacteristic
1956C2×Q8C24×C6112yes—
1957C2×Q8C24×C6114yes—
1958C2×Q8C24×C6111yescharacteristic
1959C2×Q8C24×C6112yes—
1960C2×Q8C24×C6112yes—
1961C2×Q8C24×C6114yes—
1962C2×D4—24no—
1963C2×D4—28no—
1964C2×D4—42no—
1965C2×D4—44no—
1966C2×D4—42no—
1967C2×D4—44no—
1968C2×D4—44no—
1969C2×D4—48no—
1970C2×D4—48no—
1971C2×D4—48no—
1972C2×D4—44no—
1973C2×D4—44no—
1974C2×D4C24×C6112yes—
1975C2×D4C24×C6114yes—
1976C2×D4C24×C6112yes—
1977C2×D4C24×C6112yes—
1978C2×D4C24×C6114yes—
1979C2×D4C24×C6112yes—
1980C2×D4C24×C6114yes—
1981C2×D4C24×C6114yes—
1982C2×D4C24×C6112yes—
1983C2×D4C24×C6112yes—
1984C2×D4C24×C6111yescharacteristic
1985C2×D4C24×C6112yes—
1986C2×D4C24×C6112yes—
1987C2×D4C24×C6114yes—
1988C2×D4C24×C6112yes—
1989C2×D4C24×C6114yes—
1990C2×D4C24×C6114yes—
1991C2×D4C24×C6114yes—
1992C2×D4C24×C6112yes—
1993C2×D4C24×C6112yes—
1994C2×D4C24×C6114yes—
1995C2×D4C24×C6112yes—
1996C2×D4C24×C6114yes—
1997C2×D4C24×C6112yes—
1998C2×D4C24×C6114yes—
1999C2×D4C24×C6112yes—
2000C2×D4C24×C6111yescharacteristic
2001C2×D4C24×C6112yes—
2002C2×D4C24×C6114yes—
2003C2×D4C24×C6111yescharacteristic
2004C2×D4C24×C6112yes—
2005C2×D4C24×C6114yes—
2006C2×D4C24×C6114yes—
2007C2×D4C24×C6114yes—
2008C2×D4C24×C6112yes—
2009C2×D4C24×C6112yes—
2010C2×D4C24×C6111yescharacteristic
2011C22×C4—42no—
2012C22×C4—42no—
2013C22×C4—44no—
2014C22×C4—44no—
2015C22×C4—48no—
2016C22×C4—44no—
2017C22×C4—44no—
2018C22×C4C24×C6114yes—
2019C22×C4C24×C6111yescharacteristic
2020C22×C4C24×C6111yescharacteristic
2021C22×C4C24×C6112yes—
2022C22×C4C24×C6112yes—
2023C22×C4C24×C6114yes—
2024C22×C4C24×C6112yes—
2025C22×C4C24×C6112yes—
2026C22×C4C24×C6112yes—
2027C22×C4C24×C6111yescharacteristic
2028C22×C4C24×C6111yescharacteristic
2029C22×C4C24×C6112yes—
2030C22×C4C24×C6111yescharacteristic
2031C22×C4C24×C6114yes—
2032C22×C4C24×C6112yes—
2033C22×C4C24×C6114yes—
2034C22×C4C24×C6112yes—
2035C22×C4C24×C6114yes—
2036C22×C4C24×C6114yes—
2037C22×C4C24×C6114yes—
2038C22×C4C24×C6111yescharacteristic
2039C22×C4C24×C6111yescharacteristic
2040C22×C4C24×C6112yes—
2041C22×C4C24×C6112yes—
2042C22×C4C24×C6111yescharacteristic
2043C22×C4C24×C6112yes—
2044C22×C4C24×C6114yes—
2045C22×C4C24×C6112yes—
2046C22×C4C24×C6112yes—
2047C22×C4C24×C6114yes—
2048C22×C4C24×C6112yes—
2049C22×C4C24×C6114yes—
2050C22×C4C24×C6112yes—
2051C22×C4C24×C6114yes—
2052C22×C4C24×C6114yes—
2053C22×C4C24×C6112yes—
2054C22×C4C24×C6114yes—
2055C22×C4C24×C6114yes—
2056C22×C4C24×C6112yes—
2057C22×C4C24×C6111yescharacteristic
2058C22×C4C24×C6112yes—
2059C22×C4C24×C6112yes—
2060C22×C4C24×C6114yes—
2061C4⋊C4C24×C6112yes—
2062C4⋊C4C24×C6112yes—
2063C4⋊C4C24×C6114yes—
2064C4⋊C4C24×C6114yes—
2065C4⋊C4C24×C6112yes—
2066C4⋊C4C24×C6112yes—
2067C4⋊C4C24×C6114yes—
2068C4⋊C4C24×C6114yes—
2069C4⋊C4C24×C6114yes—
2070C4⋊C4C24×C6114yes—
2071C4⋊C4C24×C6112yes—
2072C4⋊C4C24×C6114yes—
2073C4⋊C4C24×C6112yes—
2074C4⋊C4C24×C6112yes—
2075C4⋊C4C24×C6111yescharacteristic
2076C4⋊C4C24×C6114yes—
2077C4⋊C4C24×C6111yescharacteristic
2078C4⋊C4C24×C6114yes—
2079C4⋊C4C24×C6112yes—
2080C4⋊C4C24×C6112yes—
2081C4⋊C4C24×C6114yes—
2082C4⋊C4C24×C6114yes—
2083C4⋊C4C24×C6112yes—
2084C4⋊C4C24×C6112yes—
2085C4⋊C4C24×C6114yes—
2086C4⋊C4C24×C6112yes—
2087C4⋊C4C24×C6112yes—
2088C4⋊C4C24×C6114yes—
2089C4⋊C4C24×C6114yes—
2090C4⋊C4C24×C6114yes—
2091C4⋊C4C24×C6114yes—
2092C4⋊C4C24×C6114yes—
2093C4⋊C4C24×C6114yes—
2094C4⋊C4C24×C6114yes—
2095C4⋊C4C24×C6114yes—
2096C4⋊C4C24×C6112yes—
2097C4⋊C4C24×C6114yes—
2098C4⋊C4C24×C6112yes—
2099C4⋊C4C24×C6112yes—
2100C4⋊C4C24×C6114yes—
2101C4⋊C4C24×C6114yes—
2102C4⋊C4C24×C6114yes—
2103C4⋊C4C24×C6114yes—
2104C4⋊C4C24×C6114yes—
2105C4⋊C4C24×C6114yes—
2106C4⋊C4C24×C6111yescharacteristic
2107C4⋊C4C24×C6111yescharacteristic
2108C4⋊C4C24×C6112yes—
2109C4⋊C4C24×C6114yes—
2110C4⋊C4C24×C6112yes—
2111C4⋊C4C24×C6112yes—
2112C4⋊C4C24×C6112yes—
2113C4⋊C4C24×C6114yes—
2114C4⋊C4C24×C6114yes—
2115C4⋊C4C24×C6114yes—
2116C4⋊C4C24×C6112yes—
2117C4⋊C4C24×C6114yes—
2118C4⋊C4C24×C6112yes—
2119C22⋊C4C24×C6112yes—
2120C22⋊C4C24×C6112yes—
2121C22⋊C4C24×C6112yes—
2122C22⋊C4C24×C6114yes—
2123C22⋊C4C24×C6114yes—
2124C22⋊C4C24×C6114yes—
2125C22⋊C4C24×C6114yes—
2126C22⋊C4C24×C6112yes—
2127C22⋊C4C24×C6114yes—
2128C22⋊C4C24×C6112yes—
2129C22⋊C4C24×C6112yes—
2130C22⋊C4C24×C6114yes—
2131C22⋊C4C24×C6114yes—
2132C22⋊C4C24×C6112yes—
2133C22⋊C4C24×C6112yes—
2134C22⋊C4C24×C6114yes—
2135C22⋊C4C24×C6114yes—
2136C22⋊C4C24×C6114yes—
2137C22⋊C4C24×C6114yes—
2138C22⋊C4C24×C6112yes—
2139C22⋊C4C24×C6114yes—
2140C22⋊C4C24×C6112yes—
2141C22⋊C4C24×C6114yes—
2142C22⋊C4C24×C6114yes—
2143C22⋊C4C24×C6114yes—
2144C22⋊C4C24×C6114yes—
2145C22⋊C4C24×C6114yes—
2146C22⋊C4C24×C6114yes—
2147C22⋊C4C24×C6114yes—
2148C22⋊C4C24×C6112yes—
2149C22⋊C4C24×C6114yes—
2150C22⋊C4C24×C6112yes—
2151C22⋊C4C24×C6112yes—
2152C22⋊C4C24×C6112yes—
2153C22⋊C4C24×C6114yes—
2154C22⋊C4C24×C6112yes—
2155C22⋊C4C24×C6114yes—
2156C22⋊C4C24×C6114yes—
2157C22⋊C4C24×C6112yes—
2158C22⋊C4C24×C6114yes—
2159C22⋊C4C24×C6114yes—
2160C22⋊C4C24×C6114yes—
2161C22⋊C4C24×C6112yes—
2162C22⋊C4C24×C6114yes—
2163C22⋊C4C24×C6114yes—
2164C22⋊C4C24×C6112yes—
2165C22⋊C4C24×C6112yes—
2166C22⋊C4C24×C6114yes—
2167C22⋊C4C24×C6114yes—
2168C22⋊C4C24×C6114yes—
2169C22⋊C4C24×C6112yes—
2170C22⋊C4C24×C6112yes—
2171C22⋊C4C24×C6112yes—
2172C22⋊C4C24×C6114yes—
2173C22⋊C4C24×C6114yes—
2174C22⋊C4C24×C6112yes—
2175C22⋊C4C24×C6112yes—
2176C22⋊C4C24×C6114yes—
2177C42C24×C6112yes—
2178C42C24×C6114yes—
2179C42C24×C6112yes—
2180C42C24×C6112yes—
2181C42C24×C6112yes—
2182C42C24×C6112yes—
2183C42C24×C6112yes—
2184C42C24×C6114yes—
2185C42C24×C6114yes—
2186C42C24×C6114yes—
2187C42C24×C6114yes—
2188C42C24×C6114yes—
2189C42C24×C6114yes—
2190C42C24×C6114yes—
2191C23—24no—
2192C23—24no—
2193C23—28no—
2194C23—22no—
2195C23—22no—
2196C23—42no—
2197C23—41no—
2198C23—41no—
2199C23—42no—
2200C23—44no—
2201C23—42no—
2202C23—44no—
2203C23—41no—
2204C23—41no—
2205C23—42no—
2206C23—42no—
2207C23—42no—
2208C23—42no—
2209C23C25×C6112yes—
2210C23C25×C6111yescharacteristic
2211C23C25×C6112yes—
2212C23C25×C6114yes—
2213C23C25×C6112yes—
2214C23C25×C6111yescharacteristic
2215C23C25×C6112yes—
2216C23C25×C6112yes—
2217C23C25×C6111yescharacteristic
2218Q8—22no—
2219Q8—24no—
2220Q8—24no—
2221Q8—22no—
2222Q8—41no—
2223Q8—42no—
2224Q8—44no—
2225Q8—44no—
2226Q8—42no—
2227Q8—42no—
2228Q8—42no—
2229Q8—44no—
2230Q8—41no—
2231D4—28no—
2232D4—24no—
2233D4—24no—
2234D4—28no—
2235D4—24no—
2236D4—28no—
2237D4—24no—
2238D4—28no—
2239D4—24no—
2240D4—24no—
2241D4—22no—
2242D4—41no—
2243D4—42no—
2244D4—42no—
2245D4—44no—
2246D4—42no—
2247D4—42no—
2248D4—42no—
2249D4—44no—
2250D4—44no—
2251D4—44no—
2252D4—42no—
2253D4—42no—
2254D4—44no—
2255D4—44no—
2256D4—44no—
2257D4—42no—
2258D4—44no—
2259D4—44no—
2260D4—42no—
2261D4—42no—
2262D4—42no—
2263D4—44no—
2264D4—44no—
2265D4—42no—
2266D4—41no—
2267D4H(5,𝔽2)×C6114yes—
2268C2×C4—28no—
2269C2×C4—24no—
2270C2×C4—28no—
2271C2×C4—24no—
2272C2×C4—22no—
2273C2×C4—24no—
2274C2×C4—22no—
2275C2×C4—24no—
2276C2×C4—24no—
2277C2×C4—22no—
2278C2×C4—22no—
2279C2×C4—24no—
2280C2×C4—41no—
2281C2×C4—42no—
2282C2×C4—41no—
2283C2×C4—44no—
2284C2×C4—44no—
2285C2×C4—42no—
2286C2×C4—42no—
2287C2×C4—44no—
2288C2×C4—42no—
2289C2×C4—42no—
2290C2×C4—44no—
2291C2×C4—44no—
2292C2×C4—41no—
2293C2×C4—42no—
2294C2×C4—42no—
2295C2×C4—41no—
2296C2×C4—42no—
2297C2×C4—44no—
2298C2×C4—42no—
2299C2×C4—44no—
2300C2×C4—44no—
2301C2×C4—41no—
2302C2×C4—42no—
2303C2×C4—44no—
2304C2×C4—42no—
2305C2×C4—42no—
2306C2×C4—44no—
2307C2×C4—42no—
2308C2×C4—44no—
2309C2×C4—44no—
2310C2×C4—44no—
2311C2×C4C25×C6112yes—
2312C2×C4C25×C6112yes—
2313C2×C4C25×C6112yes—
2314C2×C4C25×C6114yes—
2315C2×C4C25×C6112yes—
2316C2×C4C25×C6114yes—
2317C2×C4C25×C6112yes—
2318C2×C4C25×C6112yes—
2319C2×C4C25×C6114yes—
2320C2×C4C25×C6112yes—
2321C2×C4C25×C6111yescharacteristic
2322C2×C4C25×C6114yes—
2323C2×C4C25×C6112yes—
2324C2×C4C25×C6112yes—
2325C2×C4C25×C6114yes—
2326C2×C4C25×C6112yes—
2327C2×C4C25×C6112yes—
2328C2×C4C25×C6111yescharacteristic
2329C2×C4C25×C6111yescharacteristic
2330C2×C4C25×C6111yescharacteristic
2331C22—21no—
2332C22—22no—
2333C22—22no—
2334C22—21no—
2335C22—22no—
2336C22—21no—
2337C22—22no—
2338C22—22no—
2339C22—21no—
2340C22—22no—
2341C22—24no—
2342C22—22no—
2343C22—22no—
2344C22—21no—
2345C22—24no—
2346C22—22no—
2347C22—22no—
2348C22—21no—
2349C22—21no—
2350C22—22no—
2351C22—24no—
2352C22—22no—
2353C22—22no—
2354C22—22no—
2355C22—21no—
2356C22—48no—
2357C22—82no—
2358C22—82no—
2359C22—88no—
2360C22—84no—
2361C22—162no—
2362C22C2×H(5,𝔽2)×C6114yes—
2363C22C61×#58512yes—
2364C22C26×C6111yescharacteristic
2365C4—22no—
2366C4—21no—
2367C4—22no—
2368C4—21no—
2369C4—22no—
2370C4—21no—
2371C4—22no—
2372C4—24no—
2373C4—22no—
2374C4—24no—
2375C4—22no—
2376C4—24no—
2377C4—22no—
2378C4—24no—
2379C4—22no—
2380C4—24no—
2381C4—22no—
2382C4—22no—
2383C4—22no—
2384C4C2×H(5,𝔽2)×C6112yes—
2385C2—22no—
2386C2—24no—
2387C2—42no—
2388C2—42no—
2389C2—42no—
2390C2—41no—
2391C2—44no—
2392C2—42no—
2393C2—41no—
2394C2C22×H(5,𝔽2)×C6111yescharacteristic
2395C2C2×C61×#58511yescharacteristic
2396C2C61×2−1+611yescharacteristic
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×#3560C2semidirect
3. C61×#3559C2semidirect
4. C61×#3554C2semidirect
5. C61×#3552C2semidirect
6. C61×#3541C2semidirect
7. C61×#3539C2semidirect
8. C61×#3538C2semidirect
9. C61×#3536C2semidirect
10. C61×#3535C2semidirect
11. C61×#3535C2semidirect
12. C61×#3534C2semidirect
13. C61×#3534C2semidirect
14. C61×#3533C2semidirect
15. C61×#3521C2semidirect
16. C61×#3520C2semidirect
17. C61×#3515C2semidirect
18. C61×#3513C2semidirect
19. C61×#3513C2semidirect
20. C61×#3505C2semidirect
21. C61×#3492C2semidirect
22. C61×#3489C2semidirect
23. C61×#3489C2semidirect
24. C61×#3488C2semidirect
25. C61×#3485C2semidirect
26. D4×#41×C61C2semidirect
27. C2×C61×#547C2semidirect
28. C61×#3459C2semidirect
29. C2×C61×#539C2semidirect
30. C2×2−1+4×C61C22semidirect
31. C2×H(5,𝔽2)×C61C22semidirect
32. C22×#41×C61C22semidirect
33. C22×#41×C61C22semidirect
34. C22×#41×C61C22semidirect
35. C61×#563C22semidirect
36. C61×#563C22semidirect
37. C61×#563C22semidirect
38. C61×#563C22semidirect
39. C61×#562C22semidirect
40. C61×#562C22semidirect
41. C61×#562C22semidirect
42. C61×#562C22semidirect
43. C61×#562C22semidirect
44. C61×#560C22semidirect
45. C61×#560C22semidirect
46. C61×#560C22semidirect
47. C61×#559C22semidirect
48. C61×#559C22semidirect
49. C61×#557C22semidirect
50. C61×#556C22semidirect
51. C61×#556C22semidirect
52. C61×#554C22semidirect
53. C61×#554C22semidirect
54. C61×#554C22semidirect
55. C61×#554C22semidirect
56. C61×#554C22semidirect
57. C61×#554C22semidirect
58. C61×#553C22semidirect
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×#552C22semidirect
76. C61×#552C22semidirect
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×#550C22semidirect
87. C61×#550C22semidirect
88. D4×Q8×C61C22semidirect
89. D4×Q8×C61C22semidirect
90. D4×Q8×C61C22semidirect
91. D4×Q8×C61C22semidirect
92. C61×#548C22semidirect
93. C61×#548C22semidirect
94. C61×#548C22semidirect
95. C61×#548C22semidirect
96. C61×#548C22semidirect
97. C61×#548C22semidirect
98. C61×#547C22semidirect
99. C61×#547C22semidirect
100. C61×#547C22semidirect
101. C61×#547C22semidirect
102. C61×#547C22semidirect
103. C61×#547C22semidirect
104. C61×#547C22semidirect
105. C61×#547C22semidirect
106. C61×#547C22semidirect
107. C61×#547C22semidirect
108. C61×#547C22semidirect
109. C61×#547C22semidirect
110. C61×#547C22semidirect
111. C61×#547C22semidirect
112. C61×#547C22semidirect
113. C61×#547C22semidirect
114. C61×#547C22semidirect
115. C61×#546C22semidirect
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. D42×C61C22semidirect
133. D42×C61C22semidirect
134. D42×C61C22semidirect
135. C61×#544C22semidirect
136. C61×#544C22semidirect
137. C61×#544C22semidirect
138. C61×#543C22semidirect
139. C61×#543C22semidirect
140. C61×#542C22semidirect
141. C61×#542C22semidirect
142. C61×#542C22semidirect
143. C61×#542C22semidirect
144. C61×#542C22semidirect
145. C61×#542C22semidirect
146. C61×#541C22semidirect
147. C61×#541C22semidirect
148. C61×#541C22semidirect
149. C61×#540C22semidirect
150. C61×#540C22semidirect
151. C61×#540C22semidirect
152. C61×#540C22semidirect
153. C61×#540C22semidirect
154. C61×#539C22semidirect
155. C61×#539C22semidirect
156. C61×#539C22semidirect
157. C61×#539C22semidirect
158. C61×#539C22semidirect
159. C61×#539C22semidirect
160. C61×#539C22semidirect
161. C61×#539C22semidirect
162. C61×#539C22semidirect
163. C61×#539C22semidirect
164. C61×#539C22semidirect
165. C61×#539C22semidirect
166. C61×#539C22semidirect
167. C61×#539C22semidirect
168. C61×#539C22semidirect
169. C61×#539C22semidirect
170. C61×#539C22semidirect
171. C61×#539C22semidirect
172. C61×#539C22semidirect
173. C61×#539C22semidirect
174. C61×#539C22semidirect
175. C61×#539C22semidirect
176. C61×#538C22semidirect
177. C61×#538C22semidirect
178. C61×#538C22semidirect
179. C61×#538C22semidirect
180. C61×#538C22semidirect
181. C61×#538C22semidirect
182. C61×#538C22semidirect
183. C61×#538C22semidirect
184. C61×#538C22semidirect
185. C61×#538C22semidirect
186. C61×#538C22semidirect
187. C61×#537C22semidirect
188. C61×#537C22semidirect
189. C61×#537C22semidirect
190. C61×#537C22semidirect
191. C61×#537C22semidirect
192. C61×#537C22semidirect
193. C61×#537C22semidirect
194. C61×#536C22semidirect
195. C61×#536C22semidirect
196. C61×#536C22semidirect
197. C61×#536C22semidirect
198. C61×#536C22semidirect
199. C61×#536C22semidirect
200. C61×#535C22semidirect
201. C61×#535C22semidirect
202. C61×#534C22semidirect
203. C61×#534C22semidirect
204. C61×#534C22semidirect
205. C61×#534C22semidirect
206. C61×#534C22semidirect
207. C61×#533C22semidirect
208. C61×#532C22semidirect
209. C61×#532C22semidirect
210. C2×C4⋊Q8×C61C22semidirect
211. C61×#529C22semidirect
212. C61×#529C22semidirect
213. C61×#529C22semidirect
214. C61×#529C22semidirect
215. C61×#529C22semidirect
216. C61×#529C22semidirect
217. C61×#529C22semidirect
218. C2×#126×C61C22semidirect
219. C2×#125×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. C61×#525C22semidirect
233. C2×#123×C61C22semidirect
234. C2×#123×C61C22semidirect
235. C2×#123×C61C22semidirect
236. C2×#123×C61C22semidirect
237. C2×#123×C61C22semidirect
238. C2×C22⋊Q8×C61C22semidirect
239. C2×C22⋊Q8×C61C22semidirect
240. C2×C22⋊Q8×C61C22semidirect
241. C2×C22⋊Q8×C61C22semidirect
242. C2×C22⋊Q8×C61C22semidirect
243. C2×C22⋊Q8×C61C22semidirect
245. C2×#121×C61C22semidirect
246. C2×#121×C61C22semidirect
247. C61×#520C22semidirect
248. C61×#520C22semidirect
249. C61×#520C22semidirect
250. C61×#520C22semidirect
251. C61×#518C22semidirect
252. C61×#518C22semidirect
253. C4×#41×C61C22semidirect
254. C2×C4×D4×C61C22semidirect
255. C2×C4×D4×C61C22semidirect
256. C2×C4×D4×C61C22semidirect
257. C2×C4×D4×C61C22semidirect
258. C22×C4⋊C4×C61C22semidirect
1132. #62898C61direct (N × H)
1187. #3562C2×C61semidirect
1188. #3560C2×C61semidirect
1189. #3559C2×C61semidirect
1190. #3554C2×C61semidirect
1191. #3552C2×C61semidirect
1192. #3541C2×C61semidirect
1193. #3539C2×C61semidirect
1194. #3538C2×C61semidirect
1195. #3536C2×C61semidirect
1196. #3535C2×C61semidirect
1197. #3535C2×C61semidirect
1198. #3534C2×C61semidirect
1199. #3534C2×C61semidirect
1200. #3533C2×C61semidirect
1201. #3521C2×C61semidirect
1202. #3520C2×C61semidirect
1203. #3515C2×C61semidirect
1204. #3513C2×C61semidirect
1205. #3513C2×C61semidirect
1206. #3505C2×C61semidirect
1207. #3492C2×C61semidirect
1208. #3489C2×C61semidirect
1209. #3489C2×C61semidirect
1210. #3488C2×C61semidirect
1211. #3485C2×C61semidirect
1212. D4×#41C2×C61semidirect
1213. C2×#547C2×C61semidirect
1214. #3459C2×C61semidirect
1215. C2×#539C2×C61semidirect
1228. C2×2−1+4C22×C61semidirect
1229. C2×H(5,𝔽2)C22×C61semidirect
1230. C22×#41C22×C61semidirect
1231. C22×#41C22×C61semidirect
1232. C22×#41C22×C61semidirect
1233. #563C22×C61semidirect
1234. #563C22×C61semidirect
1235. #563C22×C61semidirect
1236. #563C22×C61semidirect
1237. #562C22×C61semidirect
1238. #562C22×C61semidirect
1239. #562C22×C61semidirect
1240. #562C22×C61semidirect
1241. #562C22×C61semidirect
1242. #560C22×C61semidirect
1243. #560C22×C61semidirect
1244. #560C22×C61semidirect
1245. #559C22×C61semidirect
1246. #559C22×C61semidirect
1247. #557C22×C61semidirect
1248. #556C22×C61semidirect
1249. #556C22×C61semidirect
1250. #554C22×C61semidirect
1251. #554C22×C61semidirect
1252. #554C22×C61semidirect
1253. #554C22×C61semidirect
1254. #554C22×C61semidirect
1255. #554C22×C61semidirect
1256. #553C22×C61semidirect
1257. #553C22×C61semidirect
1258. #553C22×C61semidirect
1259. #553C22×C61semidirect
1260. #553C22×C61semidirect
1261. #553C22×C61semidirect
1262. #553C22×C61semidirect
1263. #553C22×C61semidirect
1264. #553C22×C61semidirect
1265. #553C22×C61semidirect
1266. #553C22×C61semidirect
1267. #552C22×C61semidirect
1268. #552C22×C61semidirect
1269. #552C22×C61semidirect
1270. #552C22×C61semidirect
1271. #552C22×C61semidirect
1272. #552C22×C61semidirect
1273. #552C22×C61semidirect
1274. #552C22×C61semidirect
1275. #551C22×C61semidirect
1276. #551C22×C61semidirect
1277. #551C22×C61semidirect
1278. #551C22×C61semidirect
1279. #551C22×C61semidirect
1280. #551C22×C61semidirect
1281. #551C22×C61semidirect
1282. #551C22×C61semidirect
1283. #551C22×C61semidirect
1284. #550C22×C61semidirect
1285. #550C22×C61semidirect
1286. D4×Q8C22×C61semidirect
1287. D4×Q8C22×C61semidirect
1288. D4×Q8C22×C61semidirect
1289. D4×Q8C22×C61semidirect
1290. #548C22×C61semidirect
1291. #548C22×C61semidirect
1292. #548C22×C61semidirect
1293. #548C22×C61semidirect
1294. #548C22×C61semidirect
1295. #548C22×C61semidirect
1296. #547C22×C61semidirect
1297. #547C22×C61semidirect
1298. #547C22×C61semidirect
1299. #547C22×C61semidirect
1300. #547C22×C61semidirect
1301. #547C22×C61semidirect
1302. #547C22×C61semidirect
1303. #547C22×C61semidirect
1304. #547C22×C61semidirect
1305. #547C22×C61semidirect
1306. #547C22×C61semidirect
1307. #547C22×C61semidirect
1308. #547C22×C61semidirect
1309. #547C22×C61semidirect
1310. #547C22×C61semidirect
1311. #547C22×C61semidirect
1312. #547C22×C61semidirect
1313. #546C22×C61semidirect
1314. #546C22×C61semidirect
1315. #546C22×C61semidirect
1316. #546C22×C61semidirect
1317. #546C22×C61semidirect
1318. #546C22×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. D42C22×C61semidirect
1331. D42C22×C61semidirect
1332. D42C22×C61semidirect
1333. #544C22×C61semidirect
1334. #544C22×C61semidirect
1335. #544C22×C61semidirect
1336. #543C22×C61semidirect
1337. #543C22×C61semidirect
1338. #542C22×C61semidirect
1339. #542C22×C61semidirect
1340. #542C22×C61semidirect
1341. #542C22×C61semidirect
1342. #542C22×C61semidirect
1343. #542C22×C61semidirect
1344. #541C22×C61semidirect
1345. #541C22×C61semidirect
1346. #541C22×C61semidirect
1347. #540C22×C61semidirect
1348. #540C22×C61semidirect
1349. #540C22×C61semidirect
1350. #540C22×C61semidirect
1351. #540C22×C61semidirect
1352. #539C22×C61semidirect
1353. #539C22×C61semidirect
1354. #539C22×C61semidirect
1355. #539C22×C61semidirect
1356. #539C22×C61semidirect
1357. #539C22×C61semidirect
1358. #539C22×C61semidirect
1359. #539C22×C61semidirect
1360. #539C22×C61semidirect
1361. #539C22×C61semidirect
1362. #539C22×C61semidirect
1363. #539C22×C61semidirect
1364. #539C22×C61semidirect
1365. #539C22×C61semidirect
1366. #539C22×C61semidirect
1367. #539C22×C61semidirect
1368. #539C22×C61semidirect
1369. #539C22×C61semidirect
1370. #539C22×C61semidirect
1371. #539C22×C61semidirect
1372. #539C22×C61semidirect
1373. #539C22×C61semidirect
1374. #538C22×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. #537C22×C61semidirect
1386. #537C22×C61semidirect
1387. #537C22×C61semidirect
1388. #537C22×C61semidirect
1389. #537C22×C61semidirect
1390. #537C22×C61semidirect
1391. #537C22×C61semidirect
1392. #536C22×C61semidirect
1393. #536C22×C61semidirect
1394. #536C22×C61semidirect
1395. #536C22×C61semidirect
1396. #536C22×C61semidirect
1397. #536C22×C61semidirect
1398. #535C22×C61semidirect
1399. #535C22×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. C2×C4⋊Q8C22×C61semidirect
1409. #529C22×C61semidirect
1410. #529C22×C61semidirect
1411. #529C22×C61semidirect
1412. #529C22×C61semidirect
1413. #529C22×C61semidirect
1414. #529C22×C61semidirect
1415. #529C22×C61semidirect
1416. C2×#126C22×C61semidirect
1417. C2×#125C22×C61semidirect
1419. #525C22×C61semidirect
1420. #525C22×C61semidirect
1421. #525C22×C61semidirect
1422. #525C22×C61semidirect
1423. #525C22×C61semidirect
1424. #525C22×C61semidirect
1425. #525C22×C61semidirect
1426. #525C22×C61semidirect
1427. #525C22×C61semidirect
1428. #525C22×C61semidirect
1429. #525C22×C61semidirect
1430. #525C22×C61semidirect
1431. C2×#123C22×C61semidirect
1432. C2×#123C22×C61semidirect
1433. C2×#123C22×C61semidirect
1434. C2×#123C22×C61semidirect
1435. C2×#123C22×C61semidirect
1436. C2×C22⋊Q8C22×C61semidirect
1437. C2×C22⋊Q8C22×C61semidirect
1438. C2×C22⋊Q8C22×C61semidirect
1439. C2×C22⋊Q8C22×C61semidirect
1440. C2×C22⋊Q8C22×C61semidirect
1441. C2×C22⋊Q8C22×C61semidirect
1443. C2×#121C22×C61semidirect
1444. C2×#121C22×C61semidirect
1445. #520C22×C61semidirect
1446. #520C22×C61semidirect
1447. #520C22×C61semidirect
1448. #520C22×C61semidirect
1449. #518C22×C61semidirect
1450. #518C22×C61semidirect
1451. C4×#41C22×C61semidirect
1452. C2×C4×D4C22×C61semidirect
1453. C2×C4×D4C22×C61semidirect
1454. C2×C4×D4C22×C61semidirect
1455. C2×C4×D4C22×C61semidirect
1456. C22×C4⋊C4C22×C61semidirect
1457. C61#62898direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#35622
C61×#35602
C61×#35592
C61×#35542
C61×#35522
C61×#35412
C61×#35392
C61×#35382
C61×#35362
C61×#35352
C61×#35342
C61×#35332
C61×#35212
C61×#35202
C61×#35152
C61×#35132
C61×#35052
C61×#34922
C61×#34892
C61×#34882
C61×#34852
D4×#41×C612
C2×C61×#5472
C61×#34592
C2×C61×#5392
#6289861