Finite Group Databasebeta

← C61×#63058 #29566491

Subgroups — C61×#63058 #29566491

Order 15616.

6404 conjugacy classes of subgroups.

The subgroup lattice has 2194 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3565C212yesmaximal, complemented
2C61×#3564C214yesmaximal, complemented
3C61×#3564C214yesmaximal, complemented
4C61×#3563C211yesmaximal, characteristic, complemented
5C61×#3563C212yesmaximal, complemented
6C61×#3561C212yesmaximal, complemented
7C61×#3559C211yesmaximal, characteristic, complemented
8C61×#3557C212yesmaximal, complemented
9C61×#3555C212yesmaximal, complemented
10C61×#3555C212yesmaximal, complemented
11C61×#3553C212yesmaximal, complemented
12C61×#3552C214yesmaximal, complemented
13C61×#3552C212yesmaximal, complemented
14C61×#3550C211yesmaximal, characteristic, complemented
15C61×#3544C212yesmaximal, complemented
16C61×#3541C214yesmaximal, complemented
17C61×#3538C214yesmaximal, complemented
18C61×#3535C214yesmaximal, complemented
19C61×#3531C211yesmaximal, characteristic, complemented
20C2×C61×#563C212yesmaximal, complemented
21C61×#3521C212yesmaximal, complemented
22C61×#3521C212yesmaximal, complemented
23C61×#3520C212yesmaximal, complemented
24C61×#3515C211yesmaximal, characteristic, complemented
25C61×#3514C211yesmaximal, characteristic, complemented
26C61×#3513C212yesmaximal, complemented
27C61×#3504C211yesmaximal, characteristic, complemented
28C61×#3503C212yesmaximal, complemented
29C61×#3501C212yesmaximal, complemented
30C61×#564C2212yescomplemented
31C61×#564C2211yescharacteristic, complemented
32C61×#563C2214yes—
33C61×#563C2212yes—
34C61×#563C2211yescharacteristic
35C61×#563C2214yescomplemented
36C61×#563C2214yescomplemented
37C61×#563C2212yescomplemented
38C61×#563C2212yescomplemented
39C61×#563C2214yescomplemented
40C61×#563C2212yescomplemented
41C61×#563C2214yescomplemented
42C61×#563C2214yescomplemented
43C61×#563C2211yescharacteristic, complemented
44C61×#563C2214yescomplemented
45C61×#563C2214yescomplemented
46C61×#563C2214yescomplemented
47C61×#563C2214yescomplemented
48C61×#563C2212yescomplemented
49C61×#563C2212yescomplemented
50C61×#563C2212yescomplemented
51C61×#563C2214yescomplemented
52C61×#563C2212yescomplemented
53C61×#562C2211yescharacteristic
54C61×#562C2212yes—
55C61×#562C2212yescomplemented
56C61×#562C2214yescomplemented
57C61×#562C2212yescomplemented
58C61×#559C2212yes—
59C61×#559C2211yescharacteristic
60Q82×C61C2212yescomplemented
61Q82×C61C2212yescomplemented
62C61×#557C2214yescomplemented
63C61×#557C2212yescomplemented
64C61×#557C2211yescharacteristic, complemented
65C61×#557C2212yescomplemented
66C61×#557C2212yescomplemented
67C61×#557C2212yescomplemented
68C61×#556C2211yescharacteristic
69C61×#556C2212yescomplemented
70C61×#556C2212yescomplemented
71C61×#556C2212yescomplemented
72C61×#556C2214yescomplemented
73C61×#556C2212yescomplemented
74C61×#556C2212yescomplemented
75C61×#556C2214yescomplemented
76C61×#556C2214yescomplemented
77C61×#556C2212yescomplemented
78C61×#555C2212yes—
79C61×#554C2211yescharacteristic
80C61×#554C2212yes—
81C61×#554C2212yes—
82C61×#554C2212yes—
83C61×#554C2212yescomplemented
84C61×#554C2212yescomplemented
85C61×#554C2211yescharacteristic, complemented
86C61×#554C2212yescomplemented
87C61×#554C2214yescomplemented
88C61×#554C2214yescomplemented
89C61×#554C2214yescomplemented
90C61×#554C2214yescomplemented
91C61×#554C2212yescomplemented
92C61×#554C2212yescomplemented
93C61×#554C2214yescomplemented
94C61×#554C2214yescomplemented
95C61×#554C2214yescomplemented
96C61×#553C2214yes—
97C61×#553C2212yes—
98C61×#553C2212yescomplemented
99C61×#553C2214yescomplemented
100C61×#553C2214yescomplemented
101C61×#553C2212yescomplemented
102C61×#553C2212yescomplemented
103C61×#552C2212yes—
104C61×#552C2214yescomplemented
105C61×#552C2212yescomplemented
106C61×#552C2212yescomplemented
107C61×#552C2214yescomplemented
108C61×#552C2214yescomplemented
109C61×#552C2214yescomplemented
110C61×#552C2214yescomplemented
111C61×#552C2214yescomplemented
112C61×#552C2214yescomplemented
113C61×#552C2214yescomplemented
114C61×#552C2212yescomplemented
115C61×#552C2214yescomplemented
116C61×#552C2212yescomplemented
117C61×#552C2214yescomplemented
118C61×#551C2214yes—
119C61×#551C2214yes—
120C61×#551C2214yes—
121C61×#551C2214yescomplemented
122C61×#551C2214yescomplemented
123C61×#551C2214yescomplemented
124C61×#551C2214yescomplemented
125C61×#551C2214yescomplemented
126C61×#551C2214yescomplemented
127D4×Q8×C61C2212yes—
128D4×Q8×C61C2211yescharacteristic
129D4×Q8×C61C2212yescomplemented
130D4×Q8×C61C2212yescomplemented
131D4×Q8×C61C2214yescomplemented
132D4×Q8×C61C2214yescomplemented
133D4×Q8×C61C2214yescomplemented
134D4×Q8×C61C2214yescomplemented
135C61×#548C2212yes—
136C61×#548C2214yescomplemented
137C61×#548C2214yescomplemented
138C61×#547C2212yes—
139C61×#547C2212yes—
140C61×#547C2211yescharacteristic
141C61×#547C2212yescomplemented
142C61×#547C2214yescomplemented
143C61×#547C2214yescomplemented
144C61×#546C2214yes—
145C61×#546C2212yes—
146C61×#546C2212yes—
147C61×#546C2212yes—
148C61×#546C2212yes—
149D42×C61C2211yescharacteristic
150C61×#544C2211yescharacteristic, complemented
151C61×#544C2212yescomplemented
152C61×#544C2214yescomplemented
153C61×#544C2212yescomplemented
154C61×#544C2214yescomplemented
155C61×#544C2212yescomplemented
156C61×#544C2212yescomplemented
157C61×#544C2212yescomplemented
158C61×#544C2214yescomplemented
159C61×#544C2212yescomplemented
160C61×#544C2214yescomplemented
161C61×#544C2211yescharacteristic, complemented
162C61×#544C2212yescomplemented
163C61×#543C2214yescomplemented
164C61×#543C2214yescomplemented
165C61×#542C2212yes—
166C61×#542C2212yes—
167C61×#542C2214yes—
168C61×#542C2212yescomplemented
169C61×#542C2214yescomplemented
170C61×#542C2214yescomplemented
171C61×#542C2212yescomplemented
172C61×#542C2214yescomplemented
173C61×#542C2212yescomplemented
174C61×#542C2214yescomplemented
175C61×#542C2214yescomplemented
176C61×#542C2212yescomplemented
177C61×#542C2214yescomplemented
178C61×#541C2214yescomplemented
179C61×#541C2214yescomplemented
180C61×#541C2214yescomplemented
181C61×#541C2214yescomplemented
182C61×#541C2212yescomplemented
183C61×#541C2212yescomplemented
184C61×#541C2212yescomplemented
185C61×#541C2214yescomplemented
186C61×#541C2214yescomplemented
187C61×#541C2214yescomplemented
188C61×#541C2214yescomplemented
189C61×#541C2214yescomplemented
190C61×#540C2212yes—
191C61×#539C2214yes—
192C61×#539C2212yes—
193C61×#539C2214yescomplemented
194C61×#539C2214yescomplemented
195C61×#539C2214yescomplemented
196C61×#539C2214yescomplemented
197C61×#539C2214yescomplemented
198C61×#539C2214yescomplemented
199C61×#539C2214yescomplemented
200C61×#539C2214yescomplemented
201C61×#539C2214yescomplemented
202C61×#539C2212yescomplemented
203C61×#539C2214yescomplemented
204C61×#539C2214yescomplemented
205C61×#538C2214yes—
206C61×#538C2214yes—
207C61×#538C2214yescomplemented
208C61×#538C2214yescomplemented
209C61×#537C2212yescomplemented
210C61×#536C2214yescomplemented
211C61×#536C2214yescomplemented
212C61×#536C2214yescomplemented
213C61×#536C2214yescomplemented
214C61×#533C2211yescharacteristic, complemented
215C61×#533C2211yescharacteristic, complemented
216C61×#533C2212yescomplemented
217C61×#533C2212yescomplemented
218C61×#533C2212yescomplemented
219C61×#533C2212yescomplemented
220C61×#533C2212yescomplemented
221C61×#533C2214yescomplemented
222C61×#532C2211yescharacteristic
223C2×C4⋊Q8×C61C2212yescomplemented
224C2×C4⋊Q8×C61C2214yescomplemented
225C61×#529C2212yes—
226C61×#529C2212yes—
227C61×#529C2212yes—
228C61×#529C2211yescharacteristic
229C61×#529C2212yescomplemented
230C61×#529C2212yescomplemented
231C61×#529C2212yescomplemented
232C61×#529C2214yescomplemented
233C61×#529C2214yescomplemented
234C61×#529C2212yescomplemented
235C61×#529C2212yescomplemented
236C61×#529C2211yescharacteristic, complemented
237C61×#529C2212yescomplemented
238C2×#126×C61C2214yescomplemented
239C2×#126×C61C2214yescomplemented
240C2×#125×C61C2212yescomplemented
241C2×#125×C61C2211yescharacteristic, complemented
242C2×#125×C61C2212yescomplemented
243C2×#124×C61C2212yes—
244C61×#525C2214yes—
245C61×#525C2214yescomplemented
246C2×#123×C61C2214yes—
247C2×C22⋊Q8×C61C2214yescomplemented
248C2×C22⋊Q8×C61C2214yescomplemented
249C2×C22⋊Q8×C61C2214yescomplemented
250C61×#520C2212yes—
251C61×#520C2212yes—
252C61×#520C2211yescharacteristic
253C61×#520C2211yescharacteristic
254C61×#518C2212yes—
255C61×#518C2212yes—
256C4×#41×C61C2212yes—
257C4×#41×C61C2211yescharacteristic
258C2×C4×D4×C61C2212yes—
259C2×#41×C61C2312yes—
260C2×#41×C61C2311yescharacteristic
261C2×#41×C61C2312yes—
262C2×#41×C61C2314yes—
263C2×#41×C61C2314yes—
264C22×Q8×C61C2312yes—
265C22×Q8×C61C2314yes—
266C22×Q8×C61C2314yes—
267C22×Q8×C61C2314yes—
268C22×D4×C61C2312yes—
269C22×D4×C61C2312yes—
270C23×C4×C61C2314yes—
271C4⋊Q8×C61C2312yes—
272C4⋊Q8×C61C2314yes—
273C4⋊Q8×C61C2314yes—
274C4⋊Q8×C61C2314yes—
275C4⋊Q8×C61C2314yes—
276C4⋊Q8×C61C2312yes—
277C4⋊Q8×C61C2312yes—
278C4⋊Q8×C61C2312yes—
279C4⋊Q8×C61C2312yes—
280C4⋊Q8×C61C2314yes—
281C4⋊Q8×C61C2314yes—
282C4⋊Q8×C61C2314yes—
283C4⋊Q8×C61C2314yes—
284C4⋊Q8×C61C2311yescharacteristic
285C4⋊Q8×C61C2312yes—
286C4⋊Q8×C61C2312yes—
287C4⋊Q8×C61C2312yes—
288C4⋊Q8×C61C2312yes—
289C4⋊Q8×C61C2311yescharacteristic
290C4⋊Q8×C61C2312yes—
291C4⋊Q8×C61C2312yes—
292C4⋊Q8×C61C2312yes—
293C4⋊Q8×C61C2312yes—
294C4⋊Q8×C61C2311yescharacteristic
295C4⋊Q8×C61C2311yescharacteristic
296C4⋊Q8×C61C2312yes—
297C4⋊Q8×C61C2311yescharacteristic
298C4⋊Q8×C61C2314yes—
299C4⋊Q8×C61C2314yes—
300C4⋊Q8×C61C2314yes—
301C4⋊Q8×C61C2314yes—
302C4⋊Q8×C61C2314yes—
303C4⋊Q8×C61C2314yes—
304C4⋊Q8×C61C2314yes—
305C4⋊Q8×C61C2314yes—
306#127×C61C2311yescharacteristic
307#126×C61C2314yes—
308#126×C61C2314yes—
309#126×C61C2314yes—
310#126×C61C2314yes—
311#126×C61C2314yes—
312#126×C61C2314yes—
313#126×C61C2314yes—
314#126×C61C2314yes—
315#126×C61C2314yes—
316#126×C61C2314yes—
317#126×C61C2314yes—
318#126×C61C2314yes—
319#126×C61C2314yes—
320#126×C61C2314yes—
321#126×C61C2312yes—
322#126×C61C2312yes—
323#126×C61C2312yes—
324#126×C61C2314yes—
325#126×C61C2314yes—
326#126×C61C2314yes—
327#126×C61C2314yes—
328#126×C61C2314yes—
329#126×C61C2314yes—
330#126×C61C2314yes—
331#126×C61C2314yes—
332#126×C61C2314yes—
333#126×C61C2314yes—
334#126×C61C2314yes—
335#126×C61C2314yes—
336#126×C61C2312yes—
337#126×C61C2312yes—
338#126×C61C2312yes—
339#126×C61C2314yes—
340#126×C61C2314yes—
341#126×C61C2314yes—
342#126×C61C2314yes—
343#126×C61C2314yes—
344#126×C61C2312yes—
345#126×C61C2312yes—
346#126×C61C2314yes—
347#126×C61C2314yes—
348#126×C61C2312yes—
349#126×C61C2312yes—
350#125×C61C2311yescharacteristic
351#125×C61C2314yes—
352#125×C61C2314yes—
353#125×C61C2314yes—
354#125×C61C2312yes—
355#125×C61C2312yes—
356#125×C61C2312yes—
357#125×C61C2312yes—
358#125×C61C2312yes—
359#125×C61C2312yes—
360#125×C61C2312yes—
361#125×C61C2311yescharacteristic
362#125×C61C2312yes—
363#125×C61C2312yes—
364#125×C61C2314yes—
365#125×C61C2314yes—
366#125×C61C2312yes—
367#125×C61C2314yes—
368#125×C61C2314yes—
369#125×C61C2314yes—
370#125×C61C2314yes—
371#125×C61C2314yes—
372#125×C61C2314yes—
373#125×C61C2314yes—
374#125×C61C2314yes—
375#125×C61C2314yes—
376#125×C61C2314yes—
377#125×C61C2314yes—
378#125×C61C2314yes—
379#125×C61C2314yes—
380#125×C61C2314yes—
381#125×C61C2314yes—
382#125×C61C2312yes—
383#125×C61C2314yes—
384#125×C61C2314yes—
385#125×C61C2314yes—
386#125×C61C2314yes—
387#125×C61C2314yes—
388#125×C61C2312yes—
389#125×C61C2312yes—
390#125×C61C2312yes—
391#125×C61C2312yes—
392#125×C61C2314yes—
393#125×C61C2312yes—
394#125×C61C2312yes—
395#125×C61C2312yes—
396#125×C61C2312yes—
397#125×C61C2312yes—
398#125×C61C2312yes—
399#125×C61C2312yes—
400#125×C61C2311yescharacteristic
401#125×C61C2311yescharacteristic
402#124×C61C2312yes—
403#124×C61C2314yes—
404#124×C61C2312yes—
405#124×C61C2314yes—
406#124×C61C2314yes—
407#124×C61C2314yes—
408#124×C61C2314yes—
409#124×C61C2314yes—
410#124×C61C2312yes—
411#124×C61C2314yes—
412#124×C61C2314yes—
413#124×C61C2314yes—
414#124×C61C2314yes—
415#124×C61C2312yes—
416#124×C61C2312yes—
417#124×C61C2312yes—
418#124×C61C2314yes—
419#124×C61C2312yes—
420#124×C61C2312yes—
421#124×C61C2312yes—
422#124×C61C2312yes—
423#124×C61C2311yescharacteristic
424#124×C61C2311yescharacteristic
425#123×C61C2314yes—
426#123×C61C2312yes—
427#123×C61C2312yes—
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×C61C2312yes—
441#123×C61C2314yes—
442#123×C61C2314yes—
443#123×C61C2314yes—
444#123×C61C2314yes—
445#123×C61C2314yes—
446#123×C61C2314yes—
447#123×C61C2314yes—
448#123×C61C2314yes—
449#123×C61C2314yes—
450#123×C61C2314yes—
451#123×C61C2314yes—
452#123×C61C2314yes—
453#123×C61C2314yes—
454#123×C61C2314yes—
455#123×C61C2314yes—
456#123×C61C2314yes—
457#123×C61C2312yes—
458#123×C61C2312yes—
459#123×C61C2312yes—
460#123×C61C2312yes—
461#123×C61C2314yes—
462#123×C61C2312yes—
463#123×C61C2312yes—
464#123×C61C2314yes—
465#123×C61C2312yes—
466C22⋊Q8×C61C2312yes—
467C22⋊Q8×C61C2312yes—
468C22⋊Q8×C61C2314yes—
469C22⋊Q8×C61C2314yes—
470C22⋊Q8×C61C2314yes—
471C22⋊Q8×C61C2314yes—
472C22⋊Q8×C61C2312yes—
473C22⋊Q8×C61C2312yes—
474C22⋊Q8×C61C2314yes—
475C22⋊Q8×C61C2314yes—
476C22⋊Q8×C61C2314yes—
477C22⋊Q8×C61C2312yes—
478C22⋊Q8×C61C2312yes—
479C22⋊Q8×C61C2312yes—
480C22⋊Q8×C61C2312yes—
481C22⋊Q8×C61C2312yes—
482C22⋊Q8×C61C2312yes—
483C22⋊Q8×C61C2312yes—
484C22⋊Q8×C61C2312yes—
485C22⋊Q8×C61C2312yes—
486C22⋊Q8×C61C2312yes—
487C22⋊Q8×C61C2314yes—
488C22⋊Q8×C61C2314yes—
489C22⋊Q8×C61C2314yes—
490C22⋊Q8×C61C2314yes—
491C22⋊Q8×C61C2314yes—
492C22⋊Q8×C61C2314yes—
493C22⋊Q8×C61C2314yes—
494C22⋊Q8×C61C2314yes—
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×C61C2314yes—
505C22⋊Q8×C61C2314yes—
506C22⋊Q8×C61C2314yes—
507C22⋊Q8×C61C2314yes—
508C22⋊Q8×C61C2314yes—
509C22⋊Q8×C61C2312yes—
510C22⋊Q8×C61C2312yes—
511C22⋊Q8×C61C2311yescharacteristic
512C22⋊Q8×C61C2314yes—
513C22⋊Q8×C61C2314yes—
514C22⋊Q8×C61C2314yes—
515C22⋊Q8×C61C2314yes—
516C22⋊Q8×C61C2314yes—
517C22⋊Q8×C61C2314yes—
518C22⋊Q8×C61C2314yes—
519C22⋊Q8×C61C2314yes—
520C22⋊Q8×C61C2314yes—
521C22⋊Q8×C61C2314yes—
522C22⋊Q8×C61C2314yes—
523C22⋊Q8×C61C2314yes—
524C22⋊Q8×C61C2314yes—
525C22⋊Q8×C61C2314yes—
526C22⋊Q8×C61C2312yes—
527C22⋊Q8×C61C2312yes—
528C22⋊Q8×C61C2314yes—
529C22⋊Q8×C61C2314yes—
530C22⋊Q8×C61C2314yes—
531C22⋊Q8×C61C2314yes—
532C22⋊Q8×C61C2312yes—
533C22⋊Q8×C61C2312yes—
534C22⋊Q8×C61C2314yes—
535C22⋊Q8×C61C2314yes—
536C22⋊Q8×C61C2312yes—
537C22⋊Q8×C61C2314yes—
538C22⋊Q8×C61C2314yes—
539C22⋊Q8×C61C2314yes—
540C22⋊Q8×C61C2314yes—
541C22⋊Q8×C61C2314yes—
542C22⋊Q8×C61C2312yes—
543C22⋊Q8×C61C2311yescharacteristic
544C22⋊Q8×C61C2314yes—
545C22⋊Q8×C61C2312yes—
546#121×C61C2312yes—
547#121×C61C2312yes—
548#121×C61C2311yescharacteristic
549#121×C61C2314yes—
550#121×C61C2314yes—
551#121×C61C2314yes—
552#121×C61C2314yes—
553#121×C61C2314yes—
554#121×C61C2314yes—
555#121×C61C2314yes—
556#121×C61C2312yes—
557#121×C61C2312yes—
558#121×C61C2312yes—
559#121×C61C2314yes—
560#121×C61C2312yes—
561#121×C61C2311yescharacteristic
562#121×C61C2314yes—
563#121×C61C2314yes—
564#121×C61C2312yes—
565#121×C61C2312yes—
566#121×C61C2312yes—
567#121×C61C2312yes—
568#121×C61C2312yes—
569#120×C61C2314yes—
570#120×C61C2314yes—
571#120×C61C2314yes—
572#120×C61C2314yes—
573C4×Q8×C61C2312yes—
574C4×Q8×C61C2311yescharacteristic
575C4×Q8×C61C2312yes—
576C4×Q8×C61C2311yescharacteristic
577C4×Q8×C61C2312yes—
578C4×Q8×C61C2312yes—
579C4×Q8×C61C2314yes—
580C4×Q8×C61C2314yes—
581C4×Q8×C61C2312yes—
582C4×Q8×C61C2314yes—
583C4×Q8×C61C2314yes—
584C4×Q8×C61C2314yes—
585C4×Q8×C61C2314yes—
586C4×Q8×C61C2314yes—
587C4×Q8×C61C2314yes—
588C4×Q8×C61C2312yes—
589C4×Q8×C61C2314yes—
590C4×Q8×C61C2312yes—
591C4×Q8×C61C2312yes—
592C4×Q8×C61C2312yes—
593C4×Q8×C61C2314yes—
594C4×Q8×C61C2314yes—
595C4×Q8×C61C2312yes—
596C4×Q8×C61C2311yescharacteristic
597C4×Q8×C61C2312yes—
598C4×Q8×C61C2312yes—
599C4×Q8×C61C2312yes—
600C4×Q8×C61C2312yes—
601C4×Q8×C61C2311yescharacteristic
602C4×Q8×C61C2312yes—
603C4×D4×C61C2312yes—
604C4×D4×C61C2312yes—
605C4×D4×C61C2312yes—
606C4×D4×C61C2314yes—
607C4×D4×C61C2314yes—
608C4×D4×C61C2314yes—
609C4×D4×C61C2314yes—
610C4×D4×C61C2314yes—
611C4×D4×C61C2314yes—
612C4×D4×C61C2314yes—
613C4×D4×C61C2314yes—
614C4×D4×C61C2314yes—
615C4×D4×C61C2312yes—
616C4×D4×C61C2312yes—
617C4×D4×C61C2314yes—
618C4×D4×C61C2314yes—
619C4×D4×C61C2312yes—
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×C61C2312yes—
633C4×D4×C61C2312yes—
634C4×D4×C61C2312yes—
635C4×D4×C61C2312yes—
636C4×D4×C61C2312yes—
637C4×D4×C61C2311yescharacteristic
638C4×D4×C61C2311yescharacteristic
639C4×D4×C61C2312yes—
640C4×D4×C61C2312yes—
641C4×D4×C61C2312yes—
642C4×D4×C61C2312yes—
643C4×D4×C61C2312yes—
644C4×D4×C61C2312yes—
645C4×D4×C61C2312yes—
646C4×D4×C61C2312yes—
647C4×D4×C61C2311yescharacteristic
648C4×D4×C61C2311yescharacteristic
649#117×C61C2312yes—
650#117×C61C2312yes—
651#117×C61C2312yes—
652#117×C61C2314yes—
653#117×C61C2312yes—
654#117×C61C2311yescharacteristic
655#117×C61C2311yescharacteristic
656#117×C61C2312yes—
657#117×C61C2314yes—
658#117×C61C2314yes—
659#117×C61C2312yes—
660#117×C61C2312yes—
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×C61C2314yes—
672#117×C61C2314yes—
673#117×C61C2314yes—
674#117×C61C2312yes—
675#117×C61C2314yes—
676#117×C61C2311yescharacteristic
677#117×C61C2312yes—
678C2×C4⋊C4×C61C2314yes—
679C2×C4⋊C4×C61C2314yes—
680C2×C4⋊C4×C61C2314yes—
681C2×C4⋊C4×C61C2312yes—
682C2×C4⋊C4×C61C2312yes—
683C2×C4⋊C4×C61C2314yes—
684C2×C4⋊C4×C61C2314yes—
685C2×C4⋊C4×C61C2312yes—
686C2×C4⋊C4×C61C2312yes—
687C2×C4⋊C4×C61C2312yes—
688C2×C4⋊C4×C61C2312yes—
689C2×C4⋊C4×C61C2314yes—
690C2×C4⋊C4×C61C2314yes—
691C2×C4⋊C4×C61C2314yes—
692C2×C4⋊C4×C61C2312yes—
693C2×C4⋊C4×C61C2311yescharacteristic
694C2×C4⋊C4×C61C2311yescharacteristic
695C2×C4⋊C4×C61C2314yes—
696C2×C4⋊C4×C61C2312yes—
697C2×C4⋊C4×C61C2312yes—
698C2×C4⋊C4×C61C2314yes—
699C2×C22⋊C4×C61C2314yes—
700C2×C22⋊C4×C61C2314yes—
701C2×C22⋊C4×C61C2314yes—
702C2×C22⋊C4×C61C2314yes—
703C2×C22⋊C4×C61C2314yes—
704C2×C22⋊C4×C61C2314yes—
705C2×C22⋊C4×C61C2314yes—
706C2×C22⋊C4×C61C2314yes—
707C2×C42×C61C2314yes—
708C2×C42×C61C2312yes—
709C2×C42×C61C2311yescharacteristic
710C2×C42×C61C2312yes—
711C2×C42×C61C2312yes—
712C24×C61C2414yes—
713#41×C61—28no—
714#41×C61—24no—
715#41×C61—84no—
716#41×C61—84no—
717#41×C61—82no—
718C2×Q8×C61—84no—
719C2×Q8×C61—84no—
720C2×Q8×C61—82no—
721C2×Q8×C61—84no—
722C2×Q8×C61C2412yes—
723C2×Q8×C61C2411yescharacteristic
724C2×Q8×C61C2411yescharacteristic
725C2×Q8×C61C2412yes—
726C2×Q8×C61C2414yes—
727C2×Q8×C61C2412yes—
728C2×Q8×C61C2412yes—
729C2×Q8×C61C2412yes—
730C2×Q8×C61C2414yes—
731C2×Q8×C61C2412yes—
732C2×Q8×C61C2414yes—
733C2×Q8×C61C2414yes—
734C2×Q8×C61C2414yes—
735C2×Q8×C61C2414yes—
736C2×Q8×C61C2411yescharacteristic
737C2×Q8×C61C2414yes—
738C2×Q8×C61C2412yes—
739C2×D4×C61—28no—
740C2×D4×C61—82no—
741C2×D4×C61C2412yes—
742C2×D4×C61C2414yes—
743C2×D4×C61C2414yes—
744C2×D4×C61C2412yes—
745C2×D4×C61C2412yes—
746C2×D4×C61C2412yes—
747C2×D4×C61C2412yes—
748C2×D4×C61C2414yes—
749C2×D4×C61C2411yescharacteristic
750C2×D4×C61C2412yes—
751C2×D4×C61C2414yes—
752C2×D4×C61C2414yes—
753C2×D4×C61C2414yes—
754C2×D4×C61C2412yes—
755C2×D4×C61C2411yescharacteristic
756C2×D4×C61C2412yes—
757C2×D4×C61C2411yescharacteristic
758C22×C4×C61—84no—
759C22×C4×C61C2414yes—
760C22×C4×C61C2412yes—
761C22×C4×C61C2412yes—
762C22×C4×C61C2411yescharacteristic
763C22×C4×C61C2412yes—
764C22×C4×C61C2414yes—
765C22×C4×C61C2412yes—
766C22×C4×C61C2414yes—
767C22×C4×C61C2412yes—
768C22×C4×C61C2412yes—
769C22×C4×C61C2411yescharacteristic
770C22×C4×C61C2412yes—
771C22×C4×C61C2411yescharacteristic
772C22×C4×C61C2412yes—
773C22×C4×C61C2412yes—
774C22×C4×C61C2414yes—
775C22×C4×C61C2414yes—
776C22×C4×C61C2414yes—
777C22×C4×C61C2414yes—
778C22×C4×C61C2414yes—
779C22×C4×C61C2414yes—
780C22×C4×C61C2414yes—
781C22×C4×C61C2412yes—
782C22×C4×C61C2412yes—
783C22×C4×C61C2414yes—
784C22×C4×C61C2414yes—
785C22×C4×C61C2414yes—
786C22×C4×C61C2414yes—
787C4⋊C4×C61C2412yes—
788C4⋊C4×C61C2412yes—
789C4⋊C4×C61C2411yescharacteristic
790C4⋊C4×C61C2411yescharacteristic
791C4⋊C4×C61C2412yes—
792C4⋊C4×C61C2412yes—
793C4⋊C4×C61C2414yes—
794C4⋊C4×C61C2414yes—
795C4⋊C4×C61C2411yescharacteristic
796C4⋊C4×C61C2412yes—
797C4⋊C4×C61C2412yes—
798C4⋊C4×C61C2414yes—
799C4⋊C4×C61C2414yes—
800C4⋊C4×C61C2412yes—
801C4⋊C4×C61C2411yescharacteristic
802C4⋊C4×C61C2411yescharacteristic
803C4⋊C4×C61C2414yes—
804C4⋊C4×C61C2414yes—
805C4⋊C4×C61C2412yes—
806C4⋊C4×C61C2414yes—
807C4⋊C4×C61C2412yes—
808C4⋊C4×C61C2414yes—
809C4⋊C4×C61C2412yes—
810C4⋊C4×C61C2414yes—
811C4⋊C4×C61C2412yes—
812C4⋊C4×C61C2412yes—
813C4⋊C4×C61C2414yes—
814C4⋊C4×C61C2414yes—
815C4⋊C4×C61C2412yes—
816C4⋊C4×C61C2412yes—
817C4⋊C4×C61C2412yes—
818C4⋊C4×C61C2412yes—
819C4⋊C4×C61C2414yes—
820C4⋊C4×C61C2414yes—
821C4⋊C4×C61C2414yes—
822C4⋊C4×C61C2414yes—
823C4⋊C4×C61C2414yes—
824C4⋊C4×C61C2414yes—
825C4⋊C4×C61C2412yes—
826C4⋊C4×C61C2414yes—
827C4⋊C4×C61C2414yes—
828C4⋊C4×C61C2414yes—
829C4⋊C4×C61C2414yes—
830C4⋊C4×C61C2414yes—
831C4⋊C4×C61C2414yes—
832C4⋊C4×C61C2414yes—
833C4⋊C4×C61C2414yes—
834C4⋊C4×C61C2414yes—
835C4⋊C4×C61C2414yes—
836C4⋊C4×C61C2414yes—
837C4⋊C4×C61C2414yes—
838C4⋊C4×C61C2414yes—
839C4⋊C4×C61C2414yes—
840C4⋊C4×C61C2411yescharacteristic
841C4⋊C4×C61C2411yescharacteristic
842C4⋊C4×C61C2412yes—
843C4⋊C4×C61C2412yes—
844C4⋊C4×C61C2411yescharacteristic
845C4⋊C4×C61C2412yes—
846C4⋊C4×C61C2412yes—
847C4⋊C4×C61C2414yes—
848C4⋊C4×C61C2414yes—
849C4⋊C4×C61C2412yes—
850C4⋊C4×C61C2412yes—
851C4⋊C4×C61C2412yes—
852C4⋊C4×C61C2414yes—
853C4⋊C4×C61C2412yes—
854C4⋊C4×C61C2412yes—
855C4⋊C4×C61C2412yes—
856C4⋊C4×C61C2412yes—
857C4⋊C4×C61C2412yes—
858C4⋊C4×C61C2414yes—
859C4⋊C4×C61C2414yes—
860C4⋊C4×C61C2412yes—
861C4⋊C4×C61C2411yescharacteristic
862C4⋊C4×C61C2412yes—
863C4⋊C4×C61C2411yescharacteristic
864C4⋊C4×C61C2414yes—
865C4⋊C4×C61C2412yes—
866C4⋊C4×C61C2414yes—
867C4⋊C4×C61C2414yes—
868C4⋊C4×C61C2412yes—
869C4⋊C4×C61C2412yes—
870C4⋊C4×C61C2412yes—
871C4⋊C4×C61C2412yes—
872C4⋊C4×C61C2414yes—
873C4⋊C4×C61C2412yes—
874C4⋊C4×C61C2412yes—
875C22⋊C4×C61C2414yes—
876C22⋊C4×C61C2412yes—
877C22⋊C4×C61C2412yes—
878C22⋊C4×C61C2414yes—
879C22⋊C4×C61C2412yes—
880C22⋊C4×C61C2414yes—
881C22⋊C4×C61C2412yes—
882C22⋊C4×C61C2412yes—
883C22⋊C4×C61C2412yes—
884C22⋊C4×C61C2412yes—
885C22⋊C4×C61C2412yes—
886C22⋊C4×C61C2414yes—
887C22⋊C4×C61C2414yes—
888C22⋊C4×C61C2414yes—
889C22⋊C4×C61C2414yes—
890C22⋊C4×C61C2414yes—
891C22⋊C4×C61C2414yes—
892C22⋊C4×C61C2414yes—
893C22⋊C4×C61C2414yes—
894C22⋊C4×C61C2414yes—
895C22⋊C4×C61C2414yes—
896C22⋊C4×C61C2414yes—
897C22⋊C4×C61C2414yes—
898C22⋊C4×C61C2414yes—
899C22⋊C4×C61C2414yes—
900C22⋊C4×C61C2414yes—
901C22⋊C4×C61C2414yes—
902C22⋊C4×C61C2414yes—
903C22⋊C4×C61C2414yes—
904C22⋊C4×C61C2412yes—
905C22⋊C4×C61C2412yes—
906C22⋊C4×C61C2414yes—
907C22⋊C4×C61C2414yes—
908C22⋊C4×C61C2414yes—
909C22⋊C4×C61C2414yes—
910C22⋊C4×C61C2412yes—
911C22⋊C4×C61C2412yes—
912C22⋊C4×C61C2414yes—
913C22⋊C4×C61C2414yes—
914C22⋊C4×C61C2412yes—
915C22⋊C4×C61C2412yes—
916C22⋊C4×C61C2412yes—
917C22⋊C4×C61C2412yes—
918C22⋊C4×C61C2414yes—
919C22⋊C4×C61C2412yes—
920C22⋊C4×C61C2412yes—
921C22⋊C4×C61C2412yes—
922C22⋊C4×C61C2412yes—
923C22⋊C4×C61C2412yes—
924C22⋊C4×C61C2414yes—
925C22⋊C4×C61C2412yes—
926C22⋊C4×C61C2412yes—
927C42×C61C2411yescharacteristic
928C42×C61C2412yes—
929C42×C61C2412yes—
930C42×C61C2412yes—
931C42×C61C2412yes—
932C42×C61C2411yescharacteristic
933C42×C61C2412yes—
934C42×C61C2412yes—
935C42×C61C2412yes—
936C42×C61C2411yescharacteristic
937C42×C61C2412yes—
938C42×C61C2411yescharacteristic
939C42×C61C2414yes—
940C42×C61C2414yes—
941C42×C61C2414yes—
942C42×C61C2412yes—
943C42×C61C2412yes—
944C42×C61C2412yes—
945C42×C61C2414yes—
946C42×C61C2414yes—
947C42×C61C2414yes—
948C42×C61C2414yes—
949C42×C61C2414yes—
950C42×C61C2414yes—
951C42×C61C2414yes—
952C42×C61C2414yes—
953C23×C61—28no—
954C23×C61—44no—
955C23×C61—44no—
956C23×C61C2512yes—
957C23×C61C2514yes—
958C23×C61C2512yes—
959C23×C61C2511yescharacteristic
960C23×C61C2512yes—
961Q8×C61—24no—
962Q8×C61—22no—
963Q8×C61—42no—
964Q8×C61—44no—
965Q8×C61—42no—
966Q8×C61—44no—
967Q8×C61—42no—
968Q8×C61—44no—
969Q8×C61—41no—
970Q8×C61—44no—
971Q8×C61—44no—
972Q8×C61—44no—
973Q8×C61—42no—
974Q8×C61—41no—
975Q8×C61—42no—
976Q8×C61—44no—
977Q8×C61—42no—
978D4×C61—28no—
979D4×C61—24no—
980D4×C61—28no—
981D4×C61—24no—
982D4×C61—41no—
983D4×C61—42no—
984D4×C61—44no—
985D4×C61—42no—
986D4×C61—44no—
987D4×C61—41no—
988D4×C61—42no—
989D4×C61—42no—
990D4×C61—44no—
991D4×C61—42no—
992D4×C61—42no—
993D4×C61—44no—
994D4×C612−1+414yes—
995C2×C4×C61—28no—
996C2×C4×C61—24no—
997C2×C4×C61—24no—
998C2×C4×C61—24no—
999C2×C4×C61—22no—
1000C2×C4×C61—42no—
1001C2×C4×C61—44no—
1002C2×C4×C61—44no—
1003C2×C4×C61—44no—
1004C2×C4×C61—44no—
1005C2×C4×C61—44no—
1006C2×C4×C61—42no—
1007C2×C4×C61—44no—
1008C2×C4×C61—42no—
1009C2×C4×C61—44no—
1010C2×C4×C61—44no—
1011C2×C4×C61—42no—
1012C2×C4×C61—41no—
1013C2×C4×C61—42no—
1014C2×C4×C61—42no—
1015C2×C4×C61—44no—
1016C2×C4×C61—42no—
1017C2×C4×C61—44no—
1018C2×C4×C61—44no—
1019C2×C4×C61—44no—
1020C2×C4×C61—44no—
1021C2×C4×C61—42no—
1022C2×C4×C61—41no—
1023C2×C4×C61C2514yes—
1024C2×C4×C61C2512yes—
1025C2×C4×C61C2512yes—
1026C2×C4×C61C2512yes—
1027C2×C4×C61C2511yescharacteristic
1028C2×C4×C61C2511yescharacteristic
1029C2×C4×C61C2512yes—
1030C2×C4×C61C2512yes—
1031C2×C4×C61C2512yes—
1032C2×C4×C61C2512yes—
1033C2×C4×C61C2512yes—
1034C2×C4×C61C2511yescharacteristic
1035C2×C4×C61C2512yes—
1036C2×C4×C61C2514yes—
1037C2×C4×C61C2512yes—
1038C2×C4×C61C2514yes—
1039C2×C4×C61C2512yes—
1040C2×C4×C61C2511yescharacteristic
1041C2×C4×C61C2511yescharacteristic
1042C2×C4×C61C2512yes—
1043C2×C4×C61C2514yes—
1044C2×C4×C61C2512yes—
1045C2×C4×C61C2514yes—
1046C2×C4×C61C2511yescharacteristic
1047#63058C6111yesmaximal, characteristic, direct product factor, Sylow
1048C22×C61—22no—
1049C22×C61—22no—
1050C22×C61—22no—
1051C22×C61—21no—
1052C22×C61—22no—
1053C22×C61—24no—
1054C22×C61—22no—
1055C22×C61—24no—
1056C22×C61—21no—
1057C22×C61—22no—
1058C22×C61—21no—
1059C22×C61—24no—
1060C22×C61—22no—
1061C22×C61—22no—
1062C22×C61—88no—
1063C22×C61C2×2−1+414yes—
1064C22×C61C2611yescharacteristic
1065C4×C61—21no—
1066C4×C61—22no—
1067C4×C61—22no—
1068C4×C61—24no—
1069C4×C61—22no—
1070C4×C61—22no—
1071C4×C61—24no—
1072C4×C61—22no—
1073C4×C61—24no—
1074C4×C61—21no—
1075C4×C61—21no—
1076C4×C61—22no—
1077C4×C61—24no—
1078C4×C61—22no—
1079C4×C61—22no—
1080C4×C61—24no—
1081C4×C61—21no—
1082C4×C61—22no—
1083C4×C61—22no—
1084C4×C61—22no—
1085C4×C61—22no—
1086C4×C61—21no—
1087C4×C61—22no—
1088C4×C61C2×2−1+412yes—
1089#3565C2×C6112yescomplemented
1090#3564C2×C6114yescomplemented
1091#3564C2×C6114yescomplemented
1092#3563C2×C6111yescharacteristic, complemented
1093#3563C2×C6112yescomplemented
1094#3561C2×C6112yescomplemented
1095#3559C2×C6111yescharacteristic, complemented
1096#3557C2×C6112yescomplemented
1097#3555C2×C6112yescomplemented
1098#3555C2×C6112yescomplemented
1099#3553C2×C6112yescomplemented
1100#3552C2×C6114yescomplemented
1101#3552C2×C6112yescomplemented
1102#3550C2×C6111yescharacteristic, complemented
1103#3544C2×C6112yescomplemented
1104#3541C2×C6114yescomplemented
1105#3538C2×C6114yescomplemented
1106#3535C2×C6114yescomplemented
1107#3531C2×C6111yescharacteristic, complemented
1108C2×#563C2×C6112yescomplemented
1109#3521C2×C6112yescomplemented
1110#3521C2×C6112yescomplemented
1111#3520C2×C6112yescomplemented
1112#3515C2×C6111yescharacteristic, complemented
1113#3514C2×C6111yescharacteristic, complemented
1114#3513C2×C6112yescomplemented
1115#3504C2×C6111yescharacteristic, complemented
1116#3503C2×C6112yescomplemented
1117#3501C2×C6112yescomplemented
1118C2×C61—24no—
1119C2×C61—42no—
1120C2×C61—41no—
1121C2×C61—44no—
1122C2×C61—42no—
1123C2×C61C22×2−1+411yescharacteristic
1124C2×C61H(7,𝔽2)11yescharacteristic
1125C2×C612−1+611yescharacteristic
1126#564C22×C6111yescharacteristic, complemented
1127#564C22×C6112yescomplemented
1128#563C22×C6111yescharacteristic
1129#563C22×C6114yes—
1130#563C22×C6112yes—
1131#563C22×C6114yescomplemented
1132#563C22×C6114yescomplemented
1133#563C22×C6114yescomplemented
1134#563C22×C6112yescomplemented
1135#563C22×C6114yescomplemented
1136#563C22×C6114yescomplemented
1137#563C22×C6112yescomplemented
1138#563C22×C6112yescomplemented
1139#563C22×C6112yescomplemented
1140#563C22×C6111yescharacteristic, complemented
1141#563C22×C6112yescomplemented
1142#563C22×C6112yescomplemented
1143#563C22×C6114yescomplemented
1144#563C22×C6114yescomplemented
1145#563C22×C6114yescomplemented
1146#563C22×C6112yescomplemented
1147#563C22×C6114yescomplemented
1148#563C22×C6114yescomplemented
1149#562C22×C6112yes—
1150#562C22×C6111yescharacteristic
1151#562C22×C6112yescomplemented
1152#562C22×C6114yescomplemented
1153#562C22×C6112yescomplemented
1154#559C22×C6112yes—
1155#559C22×C6111yescharacteristic
1156Q82C22×C6112yescomplemented
1157Q82C22×C6112yescomplemented
1158#557C22×C6112yescomplemented
1159#557C22×C6112yescomplemented
1160#557C22×C6112yescomplemented
1161#557C22×C6112yescomplemented
1162#557C22×C6111yescharacteristic, complemented
1163#557C22×C6114yescomplemented
1164#556C22×C6111yescharacteristic
1165#556C22×C6112yescomplemented
1166#556C22×C6112yescomplemented
1167#556C22×C6112yescomplemented
1168#556C22×C6112yescomplemented
1169#556C22×C6112yescomplemented
1170#556C22×C6114yescomplemented
1171#556C22×C6112yescomplemented
1172#556C22×C6114yescomplemented
1173#556C22×C6114yescomplemented
1174#555C22×C6112yes—
1175#554C22×C6111yescharacteristic
1176#554C22×C6112yes—
1177#554C22×C6112yes—
1178#554C22×C6112yes—
1179#554C22×C6114yescomplemented
1180#554C22×C6112yescomplemented
1181#554C22×C6114yescomplemented
1182#554C22×C6114yescomplemented
1183#554C22×C6112yescomplemented
1184#554C22×C6112yescomplemented
1185#554C22×C6114yescomplemented
1186#554C22×C6114yescomplemented
1187#554C22×C6114yescomplemented
1188#554C22×C6114yescomplemented
1189#554C22×C6111yescharacteristic, complemented
1190#554C22×C6112yescomplemented
1191#554C22×C6112yescomplemented
1192#553C22×C6114yes—
1193#553C22×C6112yes—
1194#553C22×C6112yescomplemented
1195#553C22×C6114yescomplemented
1196#553C22×C6114yescomplemented
1197#553C22×C6112yescomplemented
1198#553C22×C6112yescomplemented
1199#552C22×C6112yes—
1200#552C22×C6114yescomplemented
1201#552C22×C6112yescomplemented
1202#552C22×C6112yescomplemented
1203#552C22×C6114yescomplemented
1204#552C22×C6114yescomplemented
1205#552C22×C6112yescomplemented
1206#552C22×C6114yescomplemented
1207#552C22×C6112yescomplemented
1208#552C22×C6114yescomplemented
1209#552C22×C6114yescomplemented
1210#552C22×C6114yescomplemented
1211#552C22×C6114yescomplemented
1212#552C22×C6114yescomplemented
1213#552C22×C6114yescomplemented
1214#551C22×C6114yes—
1215#551C22×C6114yes—
1216#551C22×C6114yes—
1217#551C22×C6114yescomplemented
1218#551C22×C6114yescomplemented
1219#551C22×C6114yescomplemented
1220#551C22×C6114yescomplemented
1221#551C22×C6114yescomplemented
1222#551C22×C6114yescomplemented
1223D4×Q8C22×C6112yes—
1224D4×Q8C22×C6111yescharacteristic
1225D4×Q8C22×C6114yescomplemented
1226D4×Q8C22×C6112yescomplemented
1227D4×Q8C22×C6114yescomplemented
1228D4×Q8C22×C6114yescomplemented
1229D4×Q8C22×C6112yescomplemented
1230D4×Q8C22×C6114yescomplemented
1231#548C22×C6112yes—
1232#548C22×C6114yescomplemented
1233#548C22×C6114yescomplemented
1234#547C22×C6112yes—
1235#547C22×C6112yes—
1236#547C22×C6111yescharacteristic
1237#547C22×C6112yescomplemented
1238#547C22×C6114yescomplemented
1239#547C22×C6114yescomplemented
1240#546C22×C6112yes—
1241#546C22×C6112yes—
1242#546C22×C6114yes—
1243#546C22×C6112yes—
1244#546C22×C6112yes—
1245D42C22×C6111yescharacteristic
1246#544C22×C6112yescomplemented
1247#544C22×C6112yescomplemented
1248#544C22×C6114yescomplemented
1249#544C22×C6114yescomplemented
1250#544C22×C6112yescomplemented
1251#544C22×C6112yescomplemented
1252#544C22×C6112yescomplemented
1253#544C22×C6111yescharacteristic, complemented
1254#544C22×C6112yescomplemented
1255#544C22×C6111yescharacteristic, complemented
1256#544C22×C6114yescomplemented
1257#544C22×C6114yescomplemented
1258#544C22×C6112yescomplemented
1259#543C22×C6114yescomplemented
1260#543C22×C6114yescomplemented
1261#542C22×C6112yes—
1262#542C22×C6112yes—
1263#542C22×C6114yes—
1264#542C22×C6112yescomplemented
1265#542C22×C6112yescomplemented
1266#542C22×C6112yescomplemented
1267#542C22×C6112yescomplemented
1268#542C22×C6114yescomplemented
1269#542C22×C6114yescomplemented
1270#542C22×C6114yescomplemented
1271#542C22×C6114yescomplemented
1272#542C22×C6114yescomplemented
1273#542C22×C6114yescomplemented
1274#541C22×C6112yescomplemented
1275#541C22×C6112yescomplemented
1276#541C22×C6112yescomplemented
1277#541C22×C6114yescomplemented
1278#541C22×C6114yescomplemented
1279#541C22×C6114yescomplemented
1280#541C22×C6114yescomplemented
1281#541C22×C6114yescomplemented
1282#541C22×C6114yescomplemented
1283#541C22×C6114yescomplemented
1284#541C22×C6114yescomplemented
1285#541C22×C6114yescomplemented
1286#540C22×C6112yes—
1287#539C22×C6114yes—
1288#539C22×C6112yes—
1289#539C22×C6114yescomplemented
1290#539C22×C6114yescomplemented
1291#539C22×C6114yescomplemented
1292#539C22×C6114yescomplemented
1293#539C22×C6114yescomplemented
1294#539C22×C6114yescomplemented
1295#539C22×C6114yescomplemented
1296#539C22×C6114yescomplemented
1297#539C22×C6114yescomplemented
1298#539C22×C6114yescomplemented
1299#539C22×C6114yescomplemented
1300#539C22×C6112yescomplemented
1301#538C22×C6114yes—
1302#538C22×C6114yes—
1303#538C22×C6114yescomplemented
1304#538C22×C6114yescomplemented
1305#537C22×C6112yescomplemented
1306#536C22×C6114yescomplemented
1307#536C22×C6114yescomplemented
1308#536C22×C6114yescomplemented
1309#536C22×C6114yescomplemented
1310#533C22×C6112yescomplemented
1311#533C22×C6112yescomplemented
1312#533C22×C6112yescomplemented
1313#533C22×C6114yescomplemented
1314#533C22×C6111yescharacteristic, complemented
1315#533C22×C6112yescomplemented
1316#533C22×C6111yescharacteristic, complemented
1317#533C22×C6112yescomplemented
1318#532C22×C6111yescharacteristic
1319C2×C4⋊Q8C22×C6114yescomplemented
1320C2×C4⋊Q8C22×C6112yescomplemented
1321#529C22×C6112yes—
1322#529C22×C6112yes—
1323#529C22×C6111yescharacteristic
1324#529C22×C6112yes—
1325#529C22×C6111yescharacteristic, complemented
1326#529C22×C6112yescomplemented
1327#529C22×C6112yescomplemented
1328#529C22×C6112yescomplemented
1329#529C22×C6112yescomplemented
1330#529C22×C6112yescomplemented
1331#529C22×C6112yescomplemented
1332#529C22×C6114yescomplemented
1333#529C22×C6114yescomplemented
1334C2×#126C22×C6114yescomplemented
1335C2×#126C22×C6114yescomplemented
1336C2×#125C22×C6112yescomplemented
1337C2×#125C22×C6111yescharacteristic, complemented
1338C2×#125C22×C6112yescomplemented
1339C2×#124C22×C6112yes—
1340#525C22×C6114yes—
1341#525C22×C6114yescomplemented
1342C2×#123C22×C6114yes—
1343C2×C22⋊Q8C22×C6114yescomplemented
1344C2×C22⋊Q8C22×C6114yescomplemented
1345C2×C22⋊Q8C22×C6114yescomplemented
1346#520C22×C6112yes—
1347#520C22×C6112yes—
1348#520C22×C6111yescharacteristic
1349#520C22×C6111yescharacteristic
1350#518C22×C6112yes—
1351#518C22×C6112yes—
1352C4×#41C22×C6112yes—
1353C4×#41C22×C6111yescharacteristic
1354C2×C4×D4C22×C6112yes—
1355C61#6305811yescharacteristic, direct product factor, Sylow
1356C2×#41C23×C6112yes—
1357C2×#41C23×C6111yescharacteristic
1358C2×#41C23×C6114yes—
1359C2×#41C23×C6114yes—
1360C2×#41C23×C6112yes—
1361C22×Q8C23×C6114yes—
1362C22×Q8C23×C6114yes—
1363C22×Q8C23×C6112yes—
1364C22×Q8C23×C6114yes—
1365C22×D4C23×C6112yes—
1366C22×D4C23×C6112yes—
1367C23×C4C23×C6114yes—
1368C4⋊Q8C23×C6112yes—
1369C4⋊Q8C23×C6114yes—
1370C4⋊Q8C23×C6114yes—
1371C4⋊Q8C23×C6114yes—
1372C4⋊Q8C23×C6114yes—
1373C4⋊Q8C23×C6112yes—
1374C4⋊Q8C23×C6112yes—
1375C4⋊Q8C23×C6112yes—
1376C4⋊Q8C23×C6112yes—
1377C4⋊Q8C23×C6114yes—
1378C4⋊Q8C23×C6114yes—
1379C4⋊Q8C23×C6114yes—
1380C4⋊Q8C23×C6114yes—
1381C4⋊Q8C23×C6111yescharacteristic
1382C4⋊Q8C23×C6112yes—
1383C4⋊Q8C23×C6112yes—
1384C4⋊Q8C23×C6112yes—
1385C4⋊Q8C23×C6112yes—
1386C4⋊Q8C23×C6111yescharacteristic
1387C4⋊Q8C23×C6112yes—
1388C4⋊Q8C23×C6112yes—
1389C4⋊Q8C23×C6112yes—
1390C4⋊Q8C23×C6112yes—
1391C4⋊Q8C23×C6111yescharacteristic
1392C4⋊Q8C23×C6111yescharacteristic
1393C4⋊Q8C23×C6112yes—
1394C4⋊Q8C23×C6111yescharacteristic
1395C4⋊Q8C23×C6114yes—
1396C4⋊Q8C23×C6114yes—
1397C4⋊Q8C23×C6114yes—
1398C4⋊Q8C23×C6114yes—
1399C4⋊Q8C23×C6114yes—
1400C4⋊Q8C23×C6114yes—
1401C4⋊Q8C23×C6114yes—
1402C4⋊Q8C23×C6114yes—
1403#127C23×C6111yescharacteristic
1404#126C23×C6112yes—
1405#126C23×C6112yes—
1406#126C23×C6114yes—
1407#126C23×C6114yes—
1408#126C23×C6114yes—
1409#126C23×C6114yes—
1410#126C23×C6114yes—
1411#126C23×C6114yes—
1412#126C23×C6114yes—
1413#126C23×C6114yes—
1414#126C23×C6114yes—
1415#126C23×C6114yes—
1416#126C23×C6114yes—
1417#126C23×C6114yes—
1418#126C23×C6114yes—
1419#126C23×C6114yes—
1420#126C23×C6114yes—
1421#126C23×C6114yes—
1422#126C23×C6112yes—
1423#126C23×C6112yes—
1424#126C23×C6112yes—
1425#126C23×C6112yes—
1426#126C23×C6112yes—
1427#126C23×C6114yes—
1428#126C23×C6112yes—
1429#126C23×C6112yes—
1430#126C23×C6112yes—
1431#126C23×C6114yes—
1432#126C23×C6114yes—
1433#126C23×C6114yes—
1434#126C23×C6114yes—
1435#126C23×C6114yes—
1436#126C23×C6114yes—
1437#126C23×C6114yes—
1438#126C23×C6114yes—
1439#126C23×C6114yes—
1440#126C23×C6114yes—
1441#126C23×C6114yes—
1442#126C23×C6114yes—
1443#126C23×C6114yes—
1444#126C23×C6114yes—
1445#126C23×C6114yes—
1446#126C23×C6114yes—
1447#125C23×C6111yescharacteristic
1448#125C23×C6112yes—
1449#125C23×C6111yescharacteristic
1450#125C23×C6112yes—
1451#125C23×C6112yes—
1452#125C23×C6114yes—
1453#125C23×C6114yes—
1454#125C23×C6114yes—
1455#125C23×C6112yes—
1456#125C23×C6112yes—
1457#125C23×C6112yes—
1458#125C23×C6114yes—
1459#125C23×C6112yes—
1460#125C23×C6112yes—
1461#125C23×C6112yes—
1462#125C23×C6111yescharacteristic
1463#125C23×C6112yes—
1464#125C23×C6112yes—
1465#125C23×C6114yes—
1466#125C23×C6114yes—
1467#125C23×C6112yes—
1468#125C23×C6112yes—
1469#125C23×C6112yes—
1470#125C23×C6112yes—
1471#125C23×C6112yes—
1472#125C23×C6111yescharacteristic
1473#125C23×C6114yes—
1474#125C23×C6114yes—
1475#125C23×C6114yes—
1476#125C23×C6112yes—
1477#125C23×C6112yes—
1478#125C23×C6112yes—
1479#125C23×C6112yes—
1480#125C23×C6112yes—
1481#125C23×C6112yes—
1482#125C23×C6114yes—
1483#125C23×C6114yes—
1484#125C23×C6114yes—
1485#125C23×C6114yes—
1486#125C23×C6114yes—
1487#125C23×C6114yes—
1488#125C23×C6114yes—
1489#125C23×C6114yes—
1490#125C23×C6114yes—
1491#125C23×C6114yes—
1492#125C23×C6114yes—
1493#125C23×C6114yes—
1494#125C23×C6114yes—
1495#125C23×C6114yes—
1496#125C23×C6114yes—
1497#125C23×C6114yes—
1498#125C23×C6114yes—
1499#124C23×C6111yescharacteristic
1500#124C23×C6112yes—
1501#124C23×C6114yes—
1502#124C23×C6114yes—
1503#124C23×C6112yes—
1504#124C23×C6112yes—
1505#124C23×C6112yes—
1506#124C23×C6112yes—
1507#124C23×C6111yescharacteristic
1508#124C23×C6114yes—
1509#124C23×C6112yes—
1510#124C23×C6114yes—
1511#124C23×C6112yes—
1512#124C23×C6112yes—
1513#124C23×C6112yes—
1514#124C23×C6112yes—
1515#124C23×C6114yes—
1516#124C23×C6114yes—
1517#124C23×C6114yes—
1518#124C23×C6114yes—
1519#124C23×C6114yes—
1520#124C23×C6114yes—
1521#124C23×C6114yes—
1522#123C23×C6112yes—
1523#123C23×C6114yes—
1524#123C23×C6114yes—
1525#123C23×C6114yes—
1526#123C23×C6114yes—
1527#123C23×C6114yes—
1528#123C23×C6114yes—
1529#123C23×C6114yes—
1530#123C23×C6112yes—
1531#123C23×C6114yes—
1532#123C23×C6114yes—
1533#123C23×C6112yes—
1534#123C23×C6114yes—
1535#123C23×C6114yes—
1536#123C23×C6112yes—
1537#123C23×C6112yes—
1538#123C23×C6114yes—
1539#123C23×C6114yes—
1540#123C23×C6114yes—
1541#123C23×C6114yes—
1542#123C23×C6114yes—
1543#123C23×C6114yes—
1544#123C23×C6112yes—
1545#123C23×C6112yes—
1546#123C23×C6112yes—
1547#123C23×C6112yes—
1548#123C23×C6112yes—
1549#123C23×C6114yes—
1550#123C23×C6114yes—
1551#123C23×C6114yes—
1552#123C23×C6114yes—
1553#123C23×C6114yes—
1554#123C23×C6114yes—
1555#123C23×C6114yes—
1556#123C23×C6114yes—
1557#123C23×C6114yes—
1558#123C23×C6114yes—
1559#123C23×C6114yes—
1560#123C23×C6114yes—
1561#123C23×C6114yes—
1562#123C23×C6114yes—
1563C22⋊Q8C23×C6112yes—
1564C22⋊Q8C23×C6112yes—
1565C22⋊Q8C23×C6112yes—
1566C22⋊Q8C23×C6114yes—
1567C22⋊Q8C23×C6114yes—
1568C22⋊Q8C23×C6114yes—
1569C22⋊Q8C23×C6114yes—
1570C22⋊Q8C23×C6114yes—
1571C22⋊Q8C23×C6114yes—
1572C22⋊Q8C23×C6114yes—
1573C22⋊Q8C23×C6114yes—
1574C22⋊Q8C23×C6114yes—
1575C22⋊Q8C23×C6114yes—
1576C22⋊Q8C23×C6114yes—
1577C22⋊Q8C23×C6114yes—
1578C22⋊Q8C23×C6114yes—
1579C22⋊Q8C23×C6114yes—
1580C22⋊Q8C23×C6114yes—
1581C22⋊Q8C23×C6114yes—
1582C22⋊Q8C23×C6114yes—
1583C22⋊Q8C23×C6114yes—
1584C22⋊Q8C23×C6114yes—
1585C22⋊Q8C23×C6114yes—
1586C22⋊Q8C23×C6114yes—
1587C22⋊Q8C23×C6114yes—
1588C22⋊Q8C23×C6114yes—
1589C22⋊Q8C23×C6112yes—
1590C22⋊Q8C23×C6112yes—
1591C22⋊Q8C23×C6112yes—
1592C22⋊Q8C23×C6111yescharacteristic
1593C22⋊Q8C23×C6112yes—
1594C22⋊Q8C23×C6112yes—
1595C22⋊Q8C23×C6111yescharacteristic
1596C22⋊Q8C23×C6112yes—
1597C22⋊Q8C23×C6112yes—
1598C22⋊Q8C23×C6112yes—
1599C22⋊Q8C23×C6114yes—
1600C22⋊Q8C23×C6114yes—
1601C22⋊Q8C23×C6112yes—
1602C22⋊Q8C23×C6112yes—
1603C22⋊Q8C23×C6114yes—
1604C22⋊Q8C23×C6114yes—
1605C22⋊Q8C23×C6114yes—
1606C22⋊Q8C23×C6114yes—
1607C22⋊Q8C23×C6112yes—
1608C22⋊Q8C23×C6112yes—
1609C22⋊Q8C23×C6114yes—
1610C22⋊Q8C23×C6114yes—
1611C22⋊Q8C23×C6114yes—
1612C22⋊Q8C23×C6112yes—
1613C22⋊Q8C23×C6112yes—
1614C22⋊Q8C23×C6112yes—
1615C22⋊Q8C23×C6112yes—
1616C22⋊Q8C23×C6112yes—
1617C22⋊Q8C23×C6112yes—
1618C22⋊Q8C23×C6112yes—
1619C22⋊Q8C23×C6112yes—
1620C22⋊Q8C23×C6114yes—
1621C22⋊Q8C23×C6114yes—
1622C22⋊Q8C23×C6114yes—
1623C22⋊Q8C23×C6114yes—
1624C22⋊Q8C23×C6114yes—
1625C22⋊Q8C23×C6114yes—
1626C22⋊Q8C23×C6114yes—
1627C22⋊Q8C23×C6114yes—
1628C22⋊Q8C23×C6114yes—
1629C22⋊Q8C23×C6114yes—
1630C22⋊Q8C23×C6114yes—
1631C22⋊Q8C23×C6114yes—
1632C22⋊Q8C23×C6114yes—
1633C22⋊Q8C23×C6114yes—
1634C22⋊Q8C23×C6114yes—
1635C22⋊Q8C23×C6114yes—
1636C22⋊Q8C23×C6114yes—
1637C22⋊Q8C23×C6114yes—
1638C22⋊Q8C23×C6114yes—
1639C22⋊Q8C23×C6114yes—
1640C22⋊Q8C23×C6114yes—
1641C22⋊Q8C23×C6114yes—
1642C22⋊Q8C23×C6114yes—
1643#121C23×C6114yes—
1644#121C23×C6114yes—
1645#121C23×C6112yes—
1646#121C23×C6114yes—
1647#121C23×C6112yes—
1648#121C23×C6111yescharacteristic
1649#121C23×C6112yes—
1650#121C23×C6112yes—
1651#121C23×C6111yescharacteristic
1652#121C23×C6114yes—
1653#121C23×C6114yes—
1654#121C23×C6112yes—
1655#121C23×C6112yes—
1656#121C23×C6112yes—
1657#121C23×C6112yes—
1658#121C23×C6112yes—
1659#121C23×C6112yes—
1660#121C23×C6112yes—
1661#121C23×C6114yes—
1662#121C23×C6114yes—
1663#121C23×C6114yes—
1664#121C23×C6114yes—
1665#121C23×C6114yes—
1666#120C23×C6114yes—
1667#120C23×C6114yes—
1668#120C23×C6114yes—
1669#120C23×C6114yes—
1670C4×Q8C23×C6111yescharacteristic
1671C4×Q8C23×C6112yes—
1672C4×Q8C23×C6112yes—
1673C4×Q8C23×C6111yescharacteristic
1674C4×Q8C23×C6112yes—
1675C4×Q8C23×C6112yes—
1676C4×Q8C23×C6112yes—
1677C4×Q8C23×C6112yes—
1678C4×Q8C23×C6112yes—
1679C4×Q8C23×C6112yes—
1680C4×Q8C23×C6111yescharacteristic
1681C4×Q8C23×C6112yes—
1682C4×Q8C23×C6112yes—
1683C4×Q8C23×C6112yes—
1684C4×Q8C23×C6112yes—
1685C4×Q8C23×C6111yescharacteristic
1686C4×Q8C23×C6112yes—
1687C4×Q8C23×C6114yes—
1688C4×Q8C23×C6114yes—
1689C4×Q8C23×C6112yes—
1690C4×Q8C23×C6114yes—
1691C4×Q8C23×C6114yes—
1692C4×Q8C23×C6112yes—
1693C4×Q8C23×C6114yes—
1694C4×Q8C23×C6114yes—
1695C4×Q8C23×C6114yes—
1696C4×Q8C23×C6114yes—
1697C4×Q8C23×C6114yes—
1698C4×Q8C23×C6114yes—
1699C4×Q8C23×C6114yes—
1700C4×D4C23×C6112yes—
1701C4×D4C23×C6112yes—
1702C4×D4C23×C6114yes—
1703C4×D4C23×C6114yes—
1704C4×D4C23×C6112yes—
1705C4×D4C23×C6112yes—
1706C4×D4C23×C6111yescharacteristic
1707C4×D4C23×C6112yes—
1708C4×D4C23×C6112yes—
1709C4×D4C23×C6111yescharacteristic
1710C4×D4C23×C6112yes—
1711C4×D4C23×C6114yes—
1712C4×D4C23×C6114yes—
1713C4×D4C23×C6112yes—
1714C4×D4C23×C6114yes—
1715C4×D4C23×C6114yes—
1716C4×D4C23×C6112yes—
1717C4×D4C23×C6114yes—
1718C4×D4C23×C6114yes—
1719C4×D4C23×C6112yes—
1720C4×D4C23×C6112yes—
1721C4×D4C23×C6112yes—
1722C4×D4C23×C6114yes—
1723C4×D4C23×C6114yes—
1724C4×D4C23×C6114yes—
1725C4×D4C23×C6114yes—
1726C4×D4C23×C6114yes—
1727C4×D4C23×C6114yes—
1728C4×D4C23×C6114yes—
1729C4×D4C23×C6114yes—
1730C4×D4C23×C6114yes—
1731C4×D4C23×C6114yes—
1732C4×D4C23×C6111yescharacteristic
1733C4×D4C23×C6112yes—
1734C4×D4C23×C6112yes—
1735C4×D4C23×C6112yes—
1736C4×D4C23×C6112yes—
1737C4×D4C23×C6114yes—
1738C4×D4C23×C6112yes—
1739C4×D4C23×C6111yescharacteristic
1740C4×D4C23×C6114yes—
1741C4×D4C23×C6114yes—
1742C4×D4C23×C6112yes—
1743C4×D4C23×C6114yes—
1744C4×D4C23×C6114yes—
1745C4×D4C23×C6112yes—
1746#117C23×C6112yes—
1747#117C23×C6114yes—
1748#117C23×C6111yescharacteristic
1749#117C23×C6112yes—
1750#117C23×C6112yes—
1751#117C23×C6112yes—
1752#117C23×C6112yes—
1753#117C23×C6112yes—
1754#117C23×C6112yes—
1755#117C23×C6112yes—
1756#117C23×C6111yescharacteristic
1757#117C23×C6111yescharacteristic
1758#117C23×C6114yes—
1759#117C23×C6114yes—
1760#117C23×C6112yes—
1761#117C23×C6112yes—
1762#117C23×C6114yes—
1763#117C23×C6114yes—
1764#117C23×C6114yes—
1765#117C23×C6114yes—
1766#117C23×C6114yes—
1767#117C23×C6114yes—
1768#117C23×C6114yes—
1769#117C23×C6114yes—
1770#117C23×C6114yes—
1771#117C23×C6114yes—
1772#117C23×C6114yes—
1773#117C23×C6114yes—
1774#117C23×C6112yes—
1775C2×C4⋊C4C23×C6112yes—
1776C2×C4⋊C4C23×C6112yes—
1777C2×C4⋊C4C23×C6114yes—
1778C2×C4⋊C4C23×C6114yes—
1779C2×C4⋊C4C23×C6112yes—
1780C2×C4⋊C4C23×C6111yescharacteristic
1781C2×C4⋊C4C23×C6111yescharacteristic
1782C2×C4⋊C4C23×C6112yes—
1783C2×C4⋊C4C23×C6112yes—
1784C2×C4⋊C4C23×C6112yes—
1785C2×C4⋊C4C23×C6114yes—
1786C2×C4⋊C4C23×C6114yes—
1787C2×C4⋊C4C23×C6114yes—
1788C2×C4⋊C4C23×C6114yes—
1789C2×C4⋊C4C23×C6114yes—
1790C2×C4⋊C4C23×C6114yes—
1791C2×C4⋊C4C23×C6114yes—
1792C2×C4⋊C4C23×C6112yes—
1793C2×C4⋊C4C23×C6112yes—
1794C2×C4⋊C4C23×C6112yes—
1795C2×C4⋊C4C23×C6114yes—
1796C2×C22⋊C4C23×C6114yes—
1797C2×C22⋊C4C23×C6114yes—
1798C2×C22⋊C4C23×C6114yes—
1799C2×C22⋊C4C23×C6114yes—
1800C2×C22⋊C4C23×C6114yes—
1801C2×C22⋊C4C23×C6114yes—
1802C2×C22⋊C4C23×C6114yes—
1803C2×C22⋊C4C23×C6114yes—
1804C2×C42C23×C6112yes—
1805C2×C42C23×C6112yes—
1806C2×C42C23×C6111yescharacteristic
1807C2×C42C23×C6114yes—
1808C2×C42C23×C6112yes—
1809C24C24×C6114yes—
1810#41—28no—
1811#41—24no—
1812#41—84no—
1813#41—84no—
1814#41—82no—
1815C2×Q8—84no—
1816C2×Q8—84no—
1817C2×Q8—82no—
1818C2×Q8—84no—
1819C2×Q8C24×C6111yescharacteristic
1820C2×Q8C24×C6112yes—
1821C2×Q8C24×C6111yescharacteristic
1822C2×Q8C24×C6112yes—
1823C2×Q8C24×C6114yes—
1824C2×Q8C24×C6112yes—
1825C2×Q8C24×C6112yes—
1826C2×Q8C24×C6112yes—
1827C2×Q8C24×C6114yes—
1828C2×Q8C24×C6112yes—
1829C2×Q8C24×C6114yes—
1830C2×Q8C24×C6114yes—
1831C2×Q8C24×C6114yes—
1832C2×Q8C24×C6114yes—
1833C2×Q8C24×C6111yescharacteristic
1834C2×Q8C24×C6114yes—
1835C2×Q8C24×C6112yes—
1836C2×D4—28no—
1837C2×D4—82no—
1838C2×D4C24×C6112yes—
1839C2×D4C24×C6114yes—
1840C2×D4C24×C6114yes—
1841C2×D4C24×C6112yes—
1842C2×D4C24×C6112yes—
1843C2×D4C24×C6112yes—
1844C2×D4C24×C6112yes—
1845C2×D4C24×C6114yes—
1846C2×D4C24×C6111yescharacteristic
1847C2×D4C24×C6112yes—
1848C2×D4C24×C6114yes—
1849C2×D4C24×C6114yes—
1850C2×D4C24×C6114yes—
1851C2×D4C24×C6112yes—
1852C2×D4C24×C6111yescharacteristic
1853C2×D4C24×C6112yes—
1854C2×D4C24×C6111yescharacteristic
1855C22×C4—84no—
1856C22×C4C24×C6112yes—
1857C22×C4C24×C6114yes—
1858C22×C4C24×C6111yescharacteristic
1859C22×C4C24×C6112yes—
1860C22×C4C24×C6112yes—
1861C22×C4C24×C6112yes—
1862C22×C4C24×C6114yes—
1863C22×C4C24×C6114yes—
1864C22×C4C24×C6112yes—
1865C22×C4C24×C6112yes—
1866C22×C4C24×C6111yescharacteristic
1867C22×C4C24×C6112yes—
1868C22×C4C24×C6111yescharacteristic
1869C22×C4C24×C6112yes—
1870C22×C4C24×C6112yes—
1871C22×C4C24×C6114yes—
1872C22×C4C24×C6114yes—
1873C22×C4C24×C6114yes—
1874C22×C4C24×C6114yes—
1875C22×C4C24×C6114yes—
1876C22×C4C24×C6114yes—
1877C22×C4C24×C6114yes—
1878C22×C4C24×C6112yes—
1879C22×C4C24×C6112yes—
1880C22×C4C24×C6114yes—
1881C22×C4C24×C6114yes—
1882C22×C4C24×C6114yes—
1883C22×C4C24×C6114yes—
1884C4⋊C4C24×C6112yes—
1885C4⋊C4C24×C6112yes—
1886C4⋊C4C24×C6111yescharacteristic
1887C4⋊C4C24×C6111yescharacteristic
1888C4⋊C4C24×C6112yes—
1889C4⋊C4C24×C6112yes—
1890C4⋊C4C24×C6114yes—
1891C4⋊C4C24×C6114yes—
1892C4⋊C4C24×C6111yescharacteristic
1893C4⋊C4C24×C6112yes—
1894C4⋊C4C24×C6112yes—
1895C4⋊C4C24×C6114yes—
1896C4⋊C4C24×C6114yes—
1897C4⋊C4C24×C6112yes—
1898C4⋊C4C24×C6111yescharacteristic
1899C4⋊C4C24×C6111yescharacteristic
1900C4⋊C4C24×C6114yes—
1901C4⋊C4C24×C6114yes—
1902C4⋊C4C24×C6112yes—
1903C4⋊C4C24×C6114yes—
1904C4⋊C4C24×C6114yes—
1905C4⋊C4C24×C6112yes—
1906C4⋊C4C24×C6112yes—
1907C4⋊C4C24×C6114yes—
1908C4⋊C4C24×C6112yes—
1909C4⋊C4C24×C6112yes—
1910C4⋊C4C24×C6114yes—
1911C4⋊C4C24×C6114yes—
1912C4⋊C4C24×C6112yes—
1913C4⋊C4C24×C6112yes—
1914C4⋊C4C24×C6112yes—
1915C4⋊C4C24×C6112yes—
1916C4⋊C4C24×C6114yes—
1917C4⋊C4C24×C6114yes—
1918C4⋊C4C24×C6114yes—
1919C4⋊C4C24×C6114yes—
1920C4⋊C4C24×C6114yes—
1921C4⋊C4C24×C6114yes—
1922C4⋊C4C24×C6112yes—
1923C4⋊C4C24×C6114yes—
1924C4⋊C4C24×C6114yes—
1925C4⋊C4C24×C6114yes—
1926C4⋊C4C24×C6114yes—
1927C4⋊C4C24×C6114yes—
1928C4⋊C4C24×C6114yes—
1929C4⋊C4C24×C6114yes—
1930C4⋊C4C24×C6114yes—
1931C4⋊C4C24×C6114yes—
1932C4⋊C4C24×C6114yes—
1933C4⋊C4C24×C6114yes—
1934C4⋊C4C24×C6114yes—
1935C4⋊C4C24×C6114yes—
1936C4⋊C4C24×C6114yes—
1937C4⋊C4C24×C6111yescharacteristic
1938C4⋊C4C24×C6111yescharacteristic
1939C4⋊C4C24×C6112yes—
1940C4⋊C4C24×C6112yes—
1941C4⋊C4C24×C6111yescharacteristic
1942C4⋊C4C24×C6112yes—
1943C4⋊C4C24×C6112yes—
1944C4⋊C4C24×C6114yes—
1945C4⋊C4C24×C6114yes—
1946C4⋊C4C24×C6112yes—
1947C4⋊C4C24×C6112yes—
1948C4⋊C4C24×C6112yes—
1949C4⋊C4C24×C6114yes—
1950C4⋊C4C24×C6112yes—
1951C4⋊C4C24×C6112yes—
1952C4⋊C4C24×C6112yes—
1953C4⋊C4C24×C6112yes—
1954C4⋊C4C24×C6112yes—
1955C4⋊C4C24×C6114yes—
1956C4⋊C4C24×C6114yes—
1957C4⋊C4C24×C6112yes—
1958C4⋊C4C24×C6111yescharacteristic
1959C4⋊C4C24×C6112yes—
1960C4⋊C4C24×C6111yescharacteristic
1961C4⋊C4C24×C6114yes—
1962C4⋊C4C24×C6112yes—
1963C4⋊C4C24×C6114yes—
1964C4⋊C4C24×C6114yes—
1965C4⋊C4C24×C6112yes—
1966C4⋊C4C24×C6112yes—
1967C4⋊C4C24×C6112yes—
1968C4⋊C4C24×C6112yes—
1969C4⋊C4C24×C6114yes—
1970C4⋊C4C24×C6112yes—
1971C4⋊C4C24×C6112yes—
1972C22⋊C4C24×C6114yes—
1973C22⋊C4C24×C6112yes—
1974C22⋊C4C24×C6112yes—
1975C22⋊C4C24×C6114yes—
1976C22⋊C4C24×C6112yes—
1977C22⋊C4C24×C6114yes—
1978C22⋊C4C24×C6112yes—
1979C22⋊C4C24×C6112yes—
1980C22⋊C4C24×C6112yes—
1981C22⋊C4C24×C6112yes—
1982C22⋊C4C24×C6112yes—
1983C22⋊C4C24×C6114yes—
1984C22⋊C4C24×C6114yes—
1985C22⋊C4C24×C6114yes—
1986C22⋊C4C24×C6114yes—
1987C22⋊C4C24×C6114yes—
1988C22⋊C4C24×C6114yes—
1989C22⋊C4C24×C6114yes—
1990C22⋊C4C24×C6114yes—
1991C22⋊C4C24×C6114yes—
1992C22⋊C4C24×C6114yes—
1993C22⋊C4C24×C6114yes—
1994C22⋊C4C24×C6114yes—
1995C22⋊C4C24×C6114yes—
1996C22⋊C4C24×C6114yes—
1997C22⋊C4C24×C6114yes—
1998C22⋊C4C24×C6114yes—
1999C22⋊C4C24×C6114yes—
2000C22⋊C4C24×C6114yes—
2001C22⋊C4C24×C6112yes—
2002C22⋊C4C24×C6112yes—
2003C22⋊C4C24×C6114yes—
2004C22⋊C4C24×C6114yes—
2005C22⋊C4C24×C6114yes—
2006C22⋊C4C24×C6114yes—
2007C22⋊C4C24×C6112yes—
2008C22⋊C4C24×C6112yes—
2009C22⋊C4C24×C6114yes—
2010C22⋊C4C24×C6114yes—
2011C22⋊C4C24×C6112yes—
2012C22⋊C4C24×C6112yes—
2013C22⋊C4C24×C6112yes—
2014C22⋊C4C24×C6112yes—
2015C22⋊C4C24×C6114yes—
2016C22⋊C4C24×C6112yes—
2017C22⋊C4C24×C6112yes—
2018C22⋊C4C24×C6112yes—
2019C22⋊C4C24×C6112yes—
2020C22⋊C4C24×C6112yes—
2021C22⋊C4C24×C6114yes—
2022C22⋊C4C24×C6112yes—
2023C22⋊C4C24×C6112yes—
2024C42C24×C6111yescharacteristic
2025C42C24×C6112yes—
2026C42C24×C6112yes—
2027C42C24×C6112yes—
2028C42C24×C6112yes—
2029C42C24×C6111yescharacteristic
2030C42C24×C6112yes—
2031C42C24×C6112yes—
2032C42C24×C6112yes—
2033C42C24×C6111yescharacteristic
2034C42C24×C6112yes—
2035C42C24×C6111yescharacteristic
2036C42C24×C6114yes—
2037C42C24×C6114yes—
2038C42C24×C6114yes—
2039C42C24×C6112yes—
2040C42C24×C6112yes—
2041C42C24×C6112yes—
2042C42C24×C6114yes—
2043C42C24×C6114yes—
2044C42C24×C6114yes—
2045C42C24×C6114yes—
2046C42C24×C6114yes—
2047C42C24×C6114yes—
2048C42C24×C6114yes—
2049C42C24×C6114yes—
2050C23—28no—
2051C23—44no—
2052C23—44no—
2053C23C25×C6112yes—
2054C23C25×C6114yes—
2055C23C25×C6112yes—
2056C23C25×C6111yescharacteristic
2057C23C25×C6112yes—
2058Q8—22no—
2059Q8—24no—
2060Q8—42no—
2061Q8—44no—
2062Q8—42no—
2063Q8—44no—
2064Q8—42no—
2065Q8—44no—
2066Q8—41no—
2067Q8—44no—
2068Q8—44no—
2069Q8—44no—
2070Q8—42no—
2071Q8—41no—
2072Q8—42no—
2073Q8—44no—
2074Q8—42no—
2075D4—28no—
2076D4—24no—
2077D4—28no—
2078D4—24no—
2079D4—41no—
2080D4—42no—
2081D4—44no—
2082D4—42no—
2083D4—44no—
2084D4—41no—
2085D4—42no—
2086D4—42no—
2087D4—44no—
2088D4—42no—
2089D4—42no—
2090D4—44no—
2091D42−1+4×C6114yes—
2092C2×C4—24no—
2093C2×C4—28no—
2094C2×C4—24no—
2095C2×C4—22no—
2096C2×C4—24no—
2097C2×C4—42no—
2098C2×C4—44no—
2099C2×C4—44no—
2100C2×C4—44no—
2101C2×C4—44no—
2102C2×C4—44no—
2103C2×C4—42no—
2104C2×C4—42no—
2105C2×C4—44no—
2106C2×C4—44no—
2107C2×C4—44no—
2108C2×C4—42no—
2109C2×C4—41no—
2110C2×C4—42no—
2111C2×C4—42no—
2112C2×C4—44no—
2113C2×C4—42no—
2114C2×C4—44no—
2115C2×C4—44no—
2116C2×C4—44no—
2117C2×C4—44no—
2118C2×C4—42no—
2119C2×C4—41no—
2120C2×C4C25×C6114yes—
2121C2×C4C25×C6112yes—
2122C2×C4C25×C6112yes—
2123C2×C4C25×C6112yes—
2124C2×C4C25×C6111yescharacteristic
2125C2×C4C25×C6111yescharacteristic
2126C2×C4C25×C6112yes—
2127C2×C4C25×C6112yes—
2128C2×C4C25×C6112yes—
2129C2×C4C25×C6112yes—
2130C2×C4C25×C6112yes—
2131C2×C4C25×C6111yescharacteristic
2132C2×C4C25×C6112yes—
2133C2×C4C25×C6114yes—
2134C2×C4C25×C6112yes—
2135C2×C4C25×C6114yes—
2136C2×C4C25×C6112yes—
2137C2×C4C25×C6111yescharacteristic
2138C2×C4C25×C6111yescharacteristic
2139C2×C4C25×C6112yes—
2140C2×C4C25×C6114yes—
2141C2×C4C25×C6112yes—
2142C2×C4C25×C6114yes—
2143C2×C4C25×C6111yescharacteristic
2144C22—22no—
2145C22—22no—
2146C22—22no—
2147C22—21no—
2148C22—22no—
2149C22—24no—
2150C22—22no—
2151C22—24no—
2152C22—21no—
2153C22—22no—
2154C22—21no—
2155C22—24no—
2156C22—22no—
2157C22—22no—
2158C22—88no—
2159C22C2×2−1+4×C6114yes—
2160C22C26×C6111yescharacteristic
2161C4—21no—
2162C4—22no—
2163C4—22no—
2164C4—24no—
2165C4—22no—
2166C4—22no—
2167C4—24no—
2168C4—22no—
2169C4—24no—
2170C4—21no—
2171C4—21no—
2172C4—22no—
2173C4—24no—
2174C4—22no—
2175C4—22no—
2176C4—24no—
2177C4—21no—
2178C4—22no—
2179C4—22no—
2180C4—22no—
2181C4—22no—
2182C4—21no—
2183C4—22no—
2184C4C2×2−1+4×C6112yes—
2185C2—24no—
2186C2—42no—
2187C2—44no—
2188C2—42no—
2189C2—41no—
2190C2C22×2−1+4×C6111yescharacteristic
2191C2C61×H(7,𝔽2)11yescharacteristic
2192C2C61×2−1+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×#3565C2semidirect
2. C61×#3564C2semidirect
3. C61×#3564C2semidirect
4. C61×#3563C2semidirect
5. C61×#3563C2semidirect
6. C61×#3561C2semidirect
7. C61×#3559C2semidirect
8. C61×#3557C2semidirect
9. C61×#3555C2semidirect
10. C61×#3555C2semidirect
11. C61×#3553C2semidirect
12. C61×#3552C2semidirect
13. C61×#3552C2semidirect
14. C61×#3550C2semidirect
15. C61×#3544C2semidirect
16. C61×#3541C2semidirect
17. C61×#3538C2semidirect
18. C61×#3535C2semidirect
19. C61×#3531C2semidirect
20. C2×C61×#563C2semidirect
21. C61×#3521C2semidirect
22. C61×#3521C2semidirect
23. C61×#3520C2semidirect
24. C61×#3515C2semidirect
25. C61×#3514C2semidirect
26. C61×#3513C2semidirect
27. C61×#3504C2semidirect
28. C61×#3503C2semidirect
29. C61×#3501C2semidirect
30. C61×#564C22semidirect
31. C61×#564C22semidirect
35. C61×#563C22semidirect
36. C61×#563C22semidirect
37. C61×#563C22semidirect
38. C61×#563C22semidirect
39. C61×#563C22semidirect
40. C61×#563C22semidirect
41. C61×#563C22semidirect
42. C61×#563C22semidirect
43. C61×#563C22semidirect
44. C61×#563C22semidirect
45. C61×#563C22semidirect
46. C61×#563C22semidirect
47. C61×#563C22semidirect
48. C61×#563C22semidirect
49. C61×#563C22semidirect
50. C61×#563C22semidirect
51. C61×#563C22semidirect
52. C61×#563C22semidirect
55. C61×#562C22semidirect
56. C61×#562C22semidirect
57. C61×#562C22semidirect
60. Q82×C61C22semidirect
61. Q82×C61C22semidirect
62. C61×#557C22semidirect
63. C61×#557C22semidirect
64. C61×#557C22semidirect
65. C61×#557C22semidirect
66. C61×#557C22semidirect
67. C61×#557C22semidirect
69. C61×#556C22semidirect
70. C61×#556C22semidirect
71. C61×#556C22semidirect
72. C61×#556C22semidirect
73. C61×#556C22semidirect
74. C61×#556C22semidirect
75. C61×#556C22semidirect
76. C61×#556C22semidirect
77. C61×#556C22semidirect
83. C61×#554C22semidirect
84. C61×#554C22semidirect
85. C61×#554C22semidirect
86. C61×#554C22semidirect
87. C61×#554C22semidirect
88. C61×#554C22semidirect
89. C61×#554C22semidirect
90. C61×#554C22semidirect
91. C61×#554C22semidirect
92. C61×#554C22semidirect
93. C61×#554C22semidirect
94. C61×#554C22semidirect
95. C61×#554C22semidirect
98. C61×#553C22semidirect
99. C61×#553C22semidirect
100. C61×#553C22semidirect
101. C61×#553C22semidirect
102. C61×#553C22semidirect
104. C61×#552C22semidirect
105. C61×#552C22semidirect
106. C61×#552C22semidirect
107. C61×#552C22semidirect
108. C61×#552C22semidirect
109. C61×#552C22semidirect
110. C61×#552C22semidirect
111. C61×#552C22semidirect
112. C61×#552C22semidirect
113. C61×#552C22semidirect
114. C61×#552C22semidirect
115. C61×#552C22semidirect
116. C61×#552C22semidirect
117. C61×#552C22semidirect
121. C61×#551C22semidirect
122. C61×#551C22semidirect
123. C61×#551C22semidirect
124. C61×#551C22semidirect
125. C61×#551C22semidirect
126. C61×#551C22semidirect
129. D4×Q8×C61C22semidirect
130. D4×Q8×C61C22semidirect
131. D4×Q8×C61C22semidirect
132. D4×Q8×C61C22semidirect
133. D4×Q8×C61C22semidirect
134. D4×Q8×C61C22semidirect
136. C61×#548C22semidirect
137. C61×#548C22semidirect
141. C61×#547C22semidirect
142. C61×#547C22semidirect
143. C61×#547C22semidirect
150. C61×#544C22semidirect
151. C61×#544C22semidirect
152. C61×#544C22semidirect
153. C61×#544C22semidirect
154. C61×#544C22semidirect
155. C61×#544C22semidirect
156. C61×#544C22semidirect
157. C61×#544C22semidirect
158. C61×#544C22semidirect
159. C61×#544C22semidirect
160. C61×#544C22semidirect
161. C61×#544C22semidirect
162. C61×#544C22semidirect
163. C61×#543C22semidirect
164. C61×#543C22semidirect
168. C61×#542C22semidirect
169. C61×#542C22semidirect
170. C61×#542C22semidirect
171. C61×#542C22semidirect
172. C61×#542C22semidirect
173. C61×#542C22semidirect
174. C61×#542C22semidirect
175. C61×#542C22semidirect
176. C61×#542C22semidirect
177. C61×#542C22semidirect
178. C61×#541C22semidirect
179. C61×#541C22semidirect
180. C61×#541C22semidirect
181. C61×#541C22semidirect
182. C61×#541C22semidirect
183. C61×#541C22semidirect
184. C61×#541C22semidirect
185. C61×#541C22semidirect
186. C61×#541C22semidirect
187. C61×#541C22semidirect
188. C61×#541C22semidirect
189. C61×#541C22semidirect
193. C61×#539C22semidirect
194. C61×#539C22semidirect
195. C61×#539C22semidirect
196. C61×#539C22semidirect
197. C61×#539C22semidirect
198. C61×#539C22semidirect
199. C61×#539C22semidirect
200. C61×#539C22semidirect
201. C61×#539C22semidirect
202. C61×#539C22semidirect
203. C61×#539C22semidirect
204. C61×#539C22semidirect
207. C61×#538C22semidirect
208. C61×#538C22semidirect
209. C61×#537C22semidirect
210. C61×#536C22semidirect
211. C61×#536C22semidirect
212. C61×#536C22semidirect
213. C61×#536C22semidirect
214. C61×#533C22semidirect
215. C61×#533C22semidirect
216. C61×#533C22semidirect
217. C61×#533C22semidirect
218. C61×#533C22semidirect
219. C61×#533C22semidirect
220. C61×#533C22semidirect
221. C61×#533C22semidirect
223. C2×C4⋊Q8×C61C22semidirect
224. C2×C4⋊Q8×C61C22semidirect
229. C61×#529C22semidirect
230. C61×#529C22semidirect
231. C61×#529C22semidirect
232. C61×#529C22semidirect
233. C61×#529C22semidirect
234. C61×#529C22semidirect
235. C61×#529C22semidirect
236. C61×#529C22semidirect
237. C61×#529C22semidirect
238. C2×#126×C61C22semidirect
239. C2×#126×C61C22semidirect
240. C2×#125×C61C22semidirect
241. C2×#125×C61C22semidirect
242. C2×#125×C61C22semidirect
245. C61×#525C22semidirect
247. C2×C22⋊Q8×C61C22semidirect
248. C2×C22⋊Q8×C61C22semidirect
249. C2×C22⋊Q8×C61C22semidirect
1047. #63058C61direct (N × H)
1089. #3565C2×C61semidirect
1090. #3564C2×C61semidirect
1091. #3564C2×C61semidirect
1092. #3563C2×C61semidirect
1093. #3563C2×C61semidirect
1094. #3561C2×C61semidirect
1095. #3559C2×C61semidirect
1096. #3557C2×C61semidirect
1097. #3555C2×C61semidirect
1098. #3555C2×C61semidirect
1099. #3553C2×C61semidirect
1100. #3552C2×C61semidirect
1101. #3552C2×C61semidirect
1102. #3550C2×C61semidirect
1103. #3544C2×C61semidirect
1104. #3541C2×C61semidirect
1105. #3538C2×C61semidirect
1106. #3535C2×C61semidirect
1107. #3531C2×C61semidirect
1108. C2×#563C2×C61semidirect
1109. #3521C2×C61semidirect
1110. #3521C2×C61semidirect
1111. #3520C2×C61semidirect
1112. #3515C2×C61semidirect
1113. #3514C2×C61semidirect
1114. #3513C2×C61semidirect
1115. #3504C2×C61semidirect
1116. #3503C2×C61semidirect
1117. #3501C2×C61semidirect
1126. #564C22×C61semidirect
1127. #564C22×C61semidirect
1131. #563C22×C61semidirect
1132. #563C22×C61semidirect
1133. #563C22×C61semidirect
1134. #563C22×C61semidirect
1135. #563C22×C61semidirect
1136. #563C22×C61semidirect
1137. #563C22×C61semidirect
1138. #563C22×C61semidirect
1139. #563C22×C61semidirect
1140. #563C22×C61semidirect
1141. #563C22×C61semidirect
1142. #563C22×C61semidirect
1143. #563C22×C61semidirect
1144. #563C22×C61semidirect
1145. #563C22×C61semidirect
1146. #563C22×C61semidirect
1147. #563C22×C61semidirect
1148. #563C22×C61semidirect
1151. #562C22×C61semidirect
1152. #562C22×C61semidirect
1153. #562C22×C61semidirect
1156. Q82C22×C61semidirect
1157. Q82C22×C61semidirect
1158. #557C22×C61semidirect
1159. #557C22×C61semidirect
1160. #557C22×C61semidirect
1161. #557C22×C61semidirect
1162. #557C22×C61semidirect
1163. #557C22×C61semidirect
1165. #556C22×C61semidirect
1166. #556C22×C61semidirect
1167. #556C22×C61semidirect
1168. #556C22×C61semidirect
1169. #556C22×C61semidirect
1170. #556C22×C61semidirect
1171. #556C22×C61semidirect
1172. #556C22×C61semidirect
1173. #556C22×C61semidirect
1179. #554C22×C61semidirect
1180. #554C22×C61semidirect
1181. #554C22×C61semidirect
1182. #554C22×C61semidirect
1183. #554C22×C61semidirect
1184. #554C22×C61semidirect
1185. #554C22×C61semidirect
1186. #554C22×C61semidirect
1187. #554C22×C61semidirect
1188. #554C22×C61semidirect
1189. #554C22×C61semidirect
1190. #554C22×C61semidirect
1191. #554C22×C61semidirect
1194. #553C22×C61semidirect
1195. #553C22×C61semidirect
1196. #553C22×C61semidirect
1197. #553C22×C61semidirect
1198. #553C22×C61semidirect
1200. #552C22×C61semidirect
1201. #552C22×C61semidirect
1202. #552C22×C61semidirect
1203. #552C22×C61semidirect
1204. #552C22×C61semidirect
1205. #552C22×C61semidirect
1206. #552C22×C61semidirect
1207. #552C22×C61semidirect
1208. #552C22×C61semidirect
1209. #552C22×C61semidirect
1210. #552C22×C61semidirect
1211. #552C22×C61semidirect
1212. #552C22×C61semidirect
1213. #552C22×C61semidirect
1217. #551C22×C61semidirect
1218. #551C22×C61semidirect
1219. #551C22×C61semidirect
1220. #551C22×C61semidirect
1221. #551C22×C61semidirect
1222. #551C22×C61semidirect
1225. D4×Q8C22×C61semidirect
1226. D4×Q8C22×C61semidirect
1227. D4×Q8C22×C61semidirect
1228. D4×Q8C22×C61semidirect
1229. D4×Q8C22×C61semidirect
1230. D4×Q8C22×C61semidirect
1232. #548C22×C61semidirect
1233. #548C22×C61semidirect
1237. #547C22×C61semidirect
1238. #547C22×C61semidirect
1239. #547C22×C61semidirect
1246. #544C22×C61semidirect
1247. #544C22×C61semidirect
1248. #544C22×C61semidirect
1249. #544C22×C61semidirect
1250. #544C22×C61semidirect
1251. #544C22×C61semidirect
1252. #544C22×C61semidirect
1253. #544C22×C61semidirect
1254. #544C22×C61semidirect
1255. #544C22×C61semidirect
1256. #544C22×C61semidirect
1257. #544C22×C61semidirect
1258. #544C22×C61semidirect
1259. #543C22×C61semidirect
1260. #543C22×C61semidirect
1264. #542C22×C61semidirect
1265. #542C22×C61semidirect
1266. #542C22×C61semidirect
1267. #542C22×C61semidirect
1268. #542C22×C61semidirect
1269. #542C22×C61semidirect
1270. #542C22×C61semidirect
1271. #542C22×C61semidirect
1272. #542C22×C61semidirect
1273. #542C22×C61semidirect
1274. #541C22×C61semidirect
1275. #541C22×C61semidirect
1276. #541C22×C61semidirect
1277. #541C22×C61semidirect
1278. #541C22×C61semidirect
1279. #541C22×C61semidirect
1280. #541C22×C61semidirect
1281. #541C22×C61semidirect
1282. #541C22×C61semidirect
1283. #541C22×C61semidirect
1284. #541C22×C61semidirect
1285. #541C22×C61semidirect
1289. #539C22×C61semidirect
1290. #539C22×C61semidirect
1291. #539C22×C61semidirect
1292. #539C22×C61semidirect
1293. #539C22×C61semidirect
1294. #539C22×C61semidirect
1295. #539C22×C61semidirect
1296. #539C22×C61semidirect
1297. #539C22×C61semidirect
1298. #539C22×C61semidirect
1299. #539C22×C61semidirect
1300. #539C22×C61semidirect
1303. #538C22×C61semidirect
1304. #538C22×C61semidirect
1305. #537C22×C61semidirect
1306. #536C22×C61semidirect
1307. #536C22×C61semidirect
1308. #536C22×C61semidirect
1309. #536C22×C61semidirect
1310. #533C22×C61semidirect
1311. #533C22×C61semidirect
1312. #533C22×C61semidirect
1313. #533C22×C61semidirect
1314. #533C22×C61semidirect
1315. #533C22×C61semidirect
1316. #533C22×C61semidirect
1317. #533C22×C61semidirect
1319. C2×C4⋊Q8C22×C61semidirect
1320. C2×C4⋊Q8C22×C61semidirect
1325. #529C22×C61semidirect
1326. #529C22×C61semidirect
1327. #529C22×C61semidirect
1328. #529C22×C61semidirect
1329. #529C22×C61semidirect
1330. #529C22×C61semidirect
1331. #529C22×C61semidirect
1332. #529C22×C61semidirect
1333. #529C22×C61semidirect
1334. C2×#126C22×C61semidirect
1335. C2×#126C22×C61semidirect
1336. C2×#125C22×C61semidirect
1337. C2×#125C22×C61semidirect
1338. C2×#125C22×C61semidirect
1341. #525C22×C61semidirect
1343. C2×C22⋊Q8C22×C61semidirect
1344. C2×C22⋊Q8C22×C61semidirect
1345. C2×C22⋊Q8C22×C61semidirect
1355. C61#63058direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#35652
C61×#35642
C61×#35632
C61×#35612
C61×#35592
C61×#35572
C61×#35552
C61×#35532
C61×#35522
C61×#35502
C61×#35442
C61×#35412
C61×#35382
C61×#35352
C61×#35312
C2×C61×#5632
C61×#35212
C61×#35202
C61×#35152
C61×#35142
C61×#35132
C61×#35042
C61×#35032
C61×#35012
#6305861