Finite Group Databasebeta

← C61×#63065 #29566498

Subgroups — C61×#63065 #29566498

Order 15616.

6492 conjugacy classes of subgroups.

The subgroup lattice has 2260 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3567C212yesmaximal, complemented
2C61×#3566C214yesmaximal, complemented
3C61×#3564C214yesmaximal, complemented
4C61×#3563C211yesmaximal, characteristic, complemented
5C61×#3562C214yesmaximal, complemented
6C61×#3561C212yesmaximal, complemented
7C61×#3560C214yesmaximal, complemented
8C61×#3559C211yesmaximal, characteristic, complemented
9C61×#3552C212yesmaximal, complemented
10C61×#3551C212yesmaximal, complemented
11C61×#3551C214yesmaximal, complemented
12C61×#3548C211yesmaximal, characteristic, complemented
13C61×#3547C214yesmaximal, complemented
14C61×#3545C212yesmaximal, complemented
15C61×#3544C212yesmaximal, complemented
16C61×#3542C212yesmaximal, complemented
17C61×#3541C212yesmaximal, complemented
18C61×#3536C212yesmaximal, complemented
19C61×#3531C212yesmaximal, complemented
20C61×#3529C211yesmaximal, characteristic, complemented
21C61×#3524C212yesmaximal, complemented
22C61×#3521C212yesmaximal, complemented
23C61×#3518C211yesmaximal, characteristic, complemented
24C61×#3514C211yesmaximal, characteristic, complemented
25C61×#3512C211yesmaximal, characteristic, complemented
26C61×#3511C212yesmaximal, complemented
27C61×#3495C212yesmaximal, complemented
28C61×#3494C212yesmaximal, complemented
29C61×#3493C212yesmaximal, complemented
30C61×#564C2212yescomplemented
31C61×#563C2212yes—
32C61×#563C2214yescomplemented
33C61×#563C2214yescomplemented
34C61×#563C2214yescomplemented
35C61×#563C2214yescomplemented
36C61×#563C2214yescomplemented
37C61×#563C2212yescomplemented
38C61×#563C2212yescomplemented
39C61×#563C2214yescomplemented
40C61×#563C2211yescharacteristic, complemented
41C61×#562C2211yescharacteristic
42C61×#562C2212yescomplemented
43C61×#562C2212yescomplemented
44C61×#562C2212yescomplemented
45C61×#562C2214yescomplemented
46C61×#562C2214yescomplemented
47C61×#562C2214yescomplemented
48C61×#562C2212yescomplemented
49C61×#562C2214yescomplemented
50C61×#562C2212yescomplemented
51C61×#562C2211yescharacteristic, complemented
52C61×H(3,𝔽4)C2211yescharacteristic
53C61×#560C2212yes—
54C61×#560C2214yes—
55C61×#560C2214yescomplemented
56C61×#560C2212yescomplemented
57C61×#560C2212yescomplemented
58C61×#559C2214yescomplemented
59C61×#559C2211yescharacteristic, complemented
60Q82×C61C2211yescharacteristic, complemented
61C61×#557C2212yescomplemented
62C61×#556C2211yescharacteristic
63C61×#556C2212yescomplemented
64C61×#556C2214yescomplemented
65C61×#556C2214yescomplemented
66C61×#556C2212yescomplemented
67C61×#556C2212yescomplemented
68C61×#556C2212yescomplemented
69C61×#556C2211yescharacteristic, complemented
70C61×#555C2212yes—
71C61×#555C2211yescharacteristic
72C61×#555C2214yescomplemented
73C61×#555C2214yescomplemented
74C61×#555C2214yescomplemented
75C61×#555C2212yescomplemented
76C61×#555C2212yescomplemented
77C61×#555C2212yescomplemented
78C61×#554C2212yescomplemented
79C61×#554C2212yescomplemented
80C61×#554C2214yescomplemented
81C61×#554C2212yescomplemented
82C61×#554C2212yescomplemented
83C61×#554C2212yescomplemented
84C61×#554C2212yescomplemented
85C61×#553C2214yescomplemented
86C61×#553C2214yescomplemented
87C61×#553C2212yescomplemented
88C61×#553C2212yescomplemented
89C61×#553C2214yescomplemented
90C61×#553C2214yescomplemented
91C61×#553C2212yescomplemented
92C61×#553C2212yescomplemented
93C61×#553C2214yescomplemented
94C61×#553C2214yescomplemented
95C61×#553C2214yescomplemented
96C61×#553C2214yescomplemented
97C61×#553C2212yescomplemented
98C61×#553C2212yescomplemented
99C61×#552C2212yes—
100C61×#552C2212yescomplemented
101C61×#552C2214yescomplemented
102C61×#552C2212yescomplemented
103C61×#552C2214yescomplemented
104C61×#552C2214yescomplemented
105C61×#552C2214yescomplemented
106C61×#552C2212yescomplemented
107C61×#552C2214yescomplemented
108C61×#552C2214yescomplemented
109C61×#552C2214yescomplemented
110C61×#552C2212yescomplemented
111C61×#552C2212yescomplemented
112C61×#551C2214yes—
113C61×#551C2214yescomplemented
114C61×#551C2214yescomplemented
115C61×#551C2214yescomplemented
116C61×#551C2214yescomplemented
117C61×#551C2214yescomplemented
118C61×#551C2214yescomplemented
119C61×#551C2214yescomplemented
120C61×#551C2214yescomplemented
121C61×#550C2212yescomplemented
122C61×#550C2212yescomplemented
123D4×Q8×C61C2214yescomplemented
124D4×Q8×C61C2211yescharacteristic, complemented
125D4×Q8×C61C2211yescharacteristic, complemented
126C61×#548C2212yescomplemented
127C61×#548C2214yescomplemented
128C61×#548C2214yescomplemented
129C61×#548C2212yescomplemented
130C61×#548C2212yescomplemented
131C61×#548C2214yescomplemented
132C61×#548C2212yescomplemented
133C61×#547C2212yes—
134C61×#547C2212yescomplemented
135C61×#547C2214yescomplemented
136C61×#547C2212yescomplemented
137C61×#547C2214yescomplemented
138C61×#547C2212yescomplemented
139C61×#547C2212yescomplemented
140C61×#546C2212yes—
141C61×#546C2214yes—
142C61×#546C2212yes—
143C61×#546C2214yescomplemented
144C61×#546C2214yescomplemented
145C61×#546C2214yescomplemented
146C61×#546C2212yescomplemented
147C61×#546C2212yescomplemented
148C61×#546C2214yescomplemented
149D42×C61C2211yescharacteristic
150C61×#544C2214yescomplemented
151C61×#544C2212yescomplemented
152C61×#544C2212yescomplemented
153C61×#544C2212yescomplemented
154C61×#544C2212yescomplemented
155C61×#543C2214yescomplemented
156C61×#542C2214yes—
157C61×#542C2214yescomplemented
158C61×#542C2212yescomplemented
159C61×#542C2212yescomplemented
160C61×#542C2214yescomplemented
161C61×#542C2214yescomplemented
162C61×#542C2214yescomplemented
163C61×#542C2214yescomplemented
164C61×#542C2214yescomplemented
165C61×#542C2212yescomplemented
166C61×#542C2212yescomplemented
167C61×#542C2214yescomplemented
168C61×#541C2214yescomplemented
169C61×#541C2214yescomplemented
170C61×#541C2212yescomplemented
171C61×#541C2212yescomplemented
172C61×#541C2214yescomplemented
173C61×#540C2214yescomplemented
174C61×#540C2214yescomplemented
175C61×#540C2214yescomplemented
176C61×#540C2214yescomplemented
177C61×#540C2214yescomplemented
178C61×#540C2214yescomplemented
179C61×#540C2212yescomplemented
180C61×#540C2212yescomplemented
181C61×#539C2212yes—
182C61×#539C2214yescomplemented
183C61×#539C2214yescomplemented
184C61×#539C2214yescomplemented
185C61×#539C2212yescomplemented
186C61×#539C2214yescomplemented
187C61×#539C2214yescomplemented
188C61×#539C2214yescomplemented
189C61×#538C2214yes—
190C61×#538C2214yescomplemented
191C61×#538C2214yescomplemented
192C61×#538C2214yescomplemented
193C61×#538C2214yescomplemented
194C61×#538C2214yescomplemented
195C61×#538C2214yescomplemented
196C61×#538C2214yescomplemented
197C61×#538C2214yescomplemented
198C61×#538C2214yescomplemented
199C61×#537C2212yes—
200C61×#537C2211yescharacteristic
201C61×#537C2214yescomplemented
202C61×#537C2214yescomplemented
203C61×#537C2212yescomplemented
204C61×#537C2212yescomplemented
205C61×#537C2212yescomplemented
206C61×#537C2211yescharacteristic, complemented
207C61×#536C2214yescomplemented
208C61×#536C2214yescomplemented
209C61×#536C2214yescomplemented
210C61×#536C2212yescomplemented
211C61×#535C2212yes—
212C61×#535C2214yescomplemented
213C61×#534C2214yes—
214C61×#533C2214yescomplemented
215C61×#533C2211yescharacteristic, complemented
216C61×#533C2212yescomplemented
217C61×#533C2214yescomplemented
218C61×#532C2214yescomplemented
219C61×#532C2211yescharacteristic, complemented
220C61×#532C2211yescharacteristic, complemented
221C61×#532C2214yescomplemented
222C61×#532C2212yescomplemented
223C2×C4⋊Q8×C61C2212yescomplemented
224C61×#529C2211yescharacteristic
225C61×#529C2212yescomplemented
226C61×#529C2212yescomplemented
227C61×#529C2212yescomplemented
228C61×#529C2212yescomplemented
229C61×#529C2214yescomplemented
230C61×#529C2212yescomplemented
231C61×#529C2214yescomplemented
232C61×#529C2214yescomplemented
233C61×#529C2212yescomplemented
234C61×#529C2211yescharacteristic, complemented
235C61×#529C2214yescomplemented
236C61×#529C2212yescomplemented
237C61×#529C2214yescomplemented
238C61×#529C2214yescomplemented
239C61×#529C2214yescomplemented
240C61×#529C2212yescomplemented
241C2×#126×C61C2214yescomplemented
242C2×#125×C61C2211yescharacteristic, complemented
243C2×#124×C61C2212yes—
244C61×#525C2212yes—
245C61×#525C2212yescomplemented
246C61×#525C2212yescomplemented
247C61×#525C2212yescomplemented
248C2×C22⋊Q8×C61C2212yescomplemented
249C2×#121×C61C2212yescomplemented
250C61×#520C2211yescharacteristic, complemented
251C61×#520C2212yescomplemented
252C61×#520C2212yescomplemented
253C61×#520C2211yescharacteristic, complemented
254C61×#519C2212yescomplemented
255C61×#518C2212yescomplemented
256C4×#41×C61C2212yescomplemented
257C4×#41×C61C2211yescharacteristic, complemented
258C2×#117×C61C2212yescomplemented
259C2×#41×C61C2311yescharacteristic
260C2×#41×C61C2312yes—
261C2×#41×C61C2311yescharacteristic
262C2×#41×C61C2311yescharacteristic
263C2×#41×C61C2312yes—
264C2×#41×C61C2312yes—
265C2×#41×C61C2314yes—
266C2×#41×C61C2314yes—
267C2×#41×C61C2314yes—
268C2×#41×C61C2312yes—
269C2×#41×C61C2314yes—
270C22×Q8×C61C2312yes—
271C22×Q8×C61C2314yes—
272C22×Q8×C61C2312yes—
273C22×D4×C61C2312yes—
274C22×D4×C61C2312yes—
275C22×D4×C61C2314yes—
276C23×C4×C61C2312yes—
277C4⋊Q8×C61C2314yes—
278C4⋊Q8×C61C2314yes—
279C4⋊Q8×C61C2312yes—
280C4⋊Q8×C61C2312yes—
281C4⋊Q8×C61C2312yes—
282C4⋊Q8×C61C2312yes—
283C4⋊Q8×C61C2312yes—
284C4⋊Q8×C61C2314yes—
285C4⋊Q8×C61C2311yescharacteristic
286C4⋊Q8×C61C2311yescharacteristic
287C4⋊Q8×C61C2312yes—
288C4⋊Q8×C61C2314yes—
289C4⋊Q8×C61C2311yescharacteristic
290C4⋊Q8×C61C2314yes—
291C4⋊Q8×C61C2312yes—
292C4⋊Q8×C61C2311yescharacteristic
293C4⋊Q8×C61C2314yes—
294C4⋊Q8×C61C2314yes—
295C4⋊Q8×C61C2314yes—
296#127×C61C2312yes—
297#127×C61C2314yes—
298#127×C61C2311yescharacteristic
299#127×C61C2311yescharacteristic
300#127×C61C2314yes—
301#126×C61C2314yes—
302#126×C61C2314yes—
303#126×C61C2314yes—
304#126×C61C2314yes—
305#126×C61C2314yes—
306#126×C61C2314yes—
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×C61C2312yes—
320#126×C61C2314yes—
321#126×C61C2314yes—
322#126×C61C2314yes—
323#126×C61C2312yes—
324#126×C61C2314yes—
325#126×C61C2314yes—
326#126×C61C2314yes—
327#126×C61C2314yes—
328#126×C61C2314yes—
329#126×C61C2312yes—
330#126×C61C2312yes—
331#126×C61C2314yes—
332#126×C61C2312yes—
333#126×C61C2314yes—
334#126×C61C2312yes—
335#125×C61C2311yescharacteristic
336#125×C61C2312yes—
337#125×C61C2314yes—
338#125×C61C2314yes—
339#125×C61C2314yes—
340#125×C61C2314yes—
341#125×C61C2314yes—
342#125×C61C2314yes—
343#125×C61C2312yes—
344#125×C61C2314yes—
345#125×C61C2314yes—
346#125×C61C2314yes—
347#125×C61C2314yes—
348#125×C61C2314yes—
349#125×C61C2314yes—
350#125×C61C2314yes—
351#125×C61C2314yes—
352#125×C61C2312yes—
353#125×C61C2314yes—
354#125×C61C2314yes—
355#125×C61C2314yes—
356#125×C61C2312yes—
357#125×C61C2312yes—
358#125×C61C2312yes—
359#125×C61C2312yes—
360#125×C61C2312yes—
361#125×C61C2312yes—
362#125×C61C2311yescharacteristic
363#124×C61C2314yes—
364#124×C61C2314yes—
365#124×C61C2314yes—
366#124×C61C2314yes—
367#124×C61C2312yes—
368#124×C61C2312yes—
369#124×C61C2311yescharacteristic
370#124×C61C2311yescharacteristic
371#124×C61C2312yes—
372#124×C61C2314yes—
373#124×C61C2314yes—
374#124×C61C2314yes—
375#124×C61C2312yes—
376#124×C61C2314yes—
377#124×C61C2314yes—
378#124×C61C2314yes—
379#124×C61C2314yes—
380#124×C61C2314yes—
381#124×C61C2314yes—
382#124×C61C2314yes—
383#124×C61C2314yes—
384#124×C61C2314yes—
385#124×C61C2314yes—
386#124×C61C2314yes—
387#124×C61C2312yes—
388#124×C61C2312yes—
389#124×C61C2312yes—
390#124×C61C2314yes—
391#124×C61C2312yes—
392#124×C61C2312yes—
393#124×C61C2311yescharacteristic
394#124×C61C2311yescharacteristic
395#123×C61C2314yes—
396#123×C61C2314yes—
397#123×C61C2314yes—
398#123×C61C2314yes—
399#123×C61C2314yes—
400#123×C61C2312yes—
401#123×C61C2312yes—
402#123×C61C2314yes—
403#123×C61C2314yes—
404#123×C61C2314yes—
405#123×C61C2314yes—
406#123×C61C2314yes—
407#123×C61C2314yes—
408#123×C61C2314yes—
409#123×C61C2314yes—
410#123×C61C2312yes—
411#123×C61C2314yes—
412#123×C61C2314yes—
413#123×C61C2314yes—
414#123×C61C2314yes—
415#123×C61C2312yes—
416#123×C61C2314yes—
417#123×C61C2314yes—
418#123×C61C2314yes—
419#123×C61C2314yes—
420#123×C61C2314yes—
421#123×C61C2314yes—
422#123×C61C2314yes—
423#123×C61C2314yes—
424#123×C61C2314yes—
425#123×C61C2314yes—
426#123×C61C2314yes—
427#123×C61C2314yes—
428#123×C61C2312yes—
429#123×C61C2312yes—
430#123×C61C2312yes—
431#123×C61C2314yes—
432#123×C61C2314yes—
433#123×C61C2314yes—
434#123×C61C2314yes—
435#123×C61C2312yes—
436#123×C61C2314yes—
437#123×C61C2314yes—
438#123×C61C2314yes—
439#123×C61C2312yes—
440#123×C61C2312yes—
441#123×C61C2314yes—
442#123×C61C2312yes—
443#123×C61C2312yes—
444C22⋊Q8×C61C2312yes—
445C22⋊Q8×C61C2314yes—
446C22⋊Q8×C61C2314yes—
447C22⋊Q8×C61C2314yes—
448C22⋊Q8×C61C2312yes—
449C22⋊Q8×C61C2312yes—
450C22⋊Q8×C61C2314yes—
451C22⋊Q8×C61C2314yes—
452C22⋊Q8×C61C2314yes—
453C22⋊Q8×C61C2314yes—
454C22⋊Q8×C61C2314yes—
455C22⋊Q8×C61C2314yes—
456C22⋊Q8×C61C2314yes—
457C22⋊Q8×C61C2314yes—
458C22⋊Q8×C61C2312yes—
459C22⋊Q8×C61C2312yes—
460C22⋊Q8×C61C2314yes—
461C22⋊Q8×C61C2314yes—
462C22⋊Q8×C61C2314yes—
463C22⋊Q8×C61C2314yes—
464C22⋊Q8×C61C2312yes—
465C22⋊Q8×C61C2314yes—
466C22⋊Q8×C61C2314yes—
467C22⋊Q8×C61C2314yes—
468C22⋊Q8×C61C2312yes—
469C22⋊Q8×C61C2312yes—
470C22⋊Q8×C61C2312yes—
471C22⋊Q8×C61C2312yes—
472C22⋊Q8×C61C2312yes—
473C22⋊Q8×C61C2314yes—
474C22⋊Q8×C61C2314yes—
475C22⋊Q8×C61C2314yes—
476C22⋊Q8×C61C2312yes—
477C22⋊Q8×C61C2314yes—
478C22⋊Q8×C61C2314yes—
479C22⋊Q8×C61C2314yes—
480C22⋊Q8×C61C2312yes—
481C22⋊Q8×C61C2314yes—
482C22⋊Q8×C61C2314yes—
483C22⋊Q8×C61C2314yes—
484C22⋊Q8×C61C2314yes—
485C22⋊Q8×C61C2314yes—
486C22⋊Q8×C61C2314yes—
487C22⋊Q8×C61C2314yes—
488C22⋊Q8×C61C2312yes—
489C22⋊Q8×C61C2312yes—
490C22⋊Q8×C61C2312yes—
491C22⋊Q8×C61C2312yes—
492C22⋊Q8×C61C2311yescharacteristic
493C22⋊Q8×C61C2314yes—
494C22⋊Q8×C61C2312yes—
495C22⋊Q8×C61C2314yes—
496C22⋊Q8×C61C2314yes—
497C22⋊Q8×C61C2314yes—
498C22⋊Q8×C61C2312yes—
499C22⋊Q8×C61C2312yes—
500C22⋊Q8×C61C2312yes—
501C22⋊Q8×C61C2311yescharacteristic
502C22⋊Q8×C61C2312yes—
503#121×C61C2312yes—
504#121×C61C2314yes—
505#121×C61C2314yes—
506#121×C61C2312yes—
507#121×C61C2312yes—
508#121×C61C2312yes—
509#121×C61C2314yes—
510#121×C61C2312yes—
511#121×C61C2312yes—
512#121×C61C2314yes—
513#121×C61C2314yes—
514#121×C61C2314yes—
515#121×C61C2312yes—
516#121×C61C2312yes—
517#121×C61C2312yes—
518#121×C61C2314yes—
519#121×C61C2314yes—
520#121×C61C2314yes—
521#121×C61C2314yes—
522#121×C61C2312yes—
523#121×C61C2312yes—
524#121×C61C2312yes—
525#121×C61C2312yes—
526#121×C61C2314yes—
527#121×C61C2314yes—
528#121×C61C2314yes—
529#121×C61C2314yes—
530#121×C61C2314yes—
531#121×C61C2314yes—
532#121×C61C2312yes—
533#121×C61C2312yes—
534#121×C61C2312yes—
535#121×C61C2312yes—
536#121×C61C2314yes—
537#121×C61C2314yes—
538#121×C61C2314yes—
539#121×C61C2311yescharacteristic
540#121×C61C2312yes—
541#121×C61C2314yes—
542#121×C61C2312yes—
543#121×C61C2314yes—
544#121×C61C2314yes—
545#121×C61C2314yes—
546#121×C61C2314yes—
547#121×C61C2314yes—
548#121×C61C2314yes—
549#121×C61C2314yes—
550#121×C61C2314yes—
551#121×C61C2314yes—
552#121×C61C2314yes—
553#121×C61C2312yes—
554#121×C61C2312yes—
555#121×C61C2312yes—
556#121×C61C2314yes—
557#121×C61C2311yescharacteristic
558#121×C61C2314yes—
559#121×C61C2314yes—
560#121×C61C2312yes—
561#121×C61C2312yes—
562#121×C61C2312yes—
563#121×C61C2312yes—
564#121×C61C2312yes—
565#121×C61C2312yes—
566#120×C61C2312yes—
567#120×C61C2314yes—
568#120×C61C2314yes—
569#120×C61C2314yes—
570#120×C61C2314yes—
571#120×C61C2312yes—
572#120×C61C2314yes—
573#120×C61C2314yes—
574#120×C61C2314yes—
575#120×C61C2312yes—
576#120×C61C2312yes—
577#120×C61C2312yes—
578#120×C61C2312yes—
579C4×Q8×C61C2314yes—
580C4×Q8×C61C2312yes—
581C4×Q8×C61C2314yes—
582C4×Q8×C61C2312yes—
583C4×Q8×C61C2314yes—
584C4×Q8×C61C2314yes—
585C4×Q8×C61C2312yes—
586C4×Q8×C61C2312yes—
587C4×Q8×C61C2314yes—
588C4×Q8×C61C2312yes—
589C4×Q8×C61C2314yes—
590C4×Q8×C61C2312yes—
591C4×Q8×C61C2312yes—
592C4×Q8×C61C2314yes—
593C4×Q8×C61C2311yescharacteristic
594C4×Q8×C61C2312yes—
595C4×Q8×C61C2312yes—
596C4×Q8×C61C2311yescharacteristic
597C4×Q8×C61C2311yescharacteristic
598C4×Q8×C61C2312yes—
599C4×Q8×C61C2311yescharacteristic
600C4×D4×C61C2314yes—
601C4×D4×C61C2314yes—
602C4×D4×C61C2314yes—
603C4×D4×C61C2314yes—
604C4×D4×C61C2312yes—
605C4×D4×C61C2314yes—
606C4×D4×C61C2314yes—
607C4×D4×C61C2312yes—
608C4×D4×C61C2314yes—
609C4×D4×C61C2314yes—
610C4×D4×C61C2312yes—
611C4×D4×C61C2312yes—
612C4×D4×C61C2312yes—
613C4×D4×C61C2312yes—
614C4×D4×C61C2312yes—
615C4×D4×C61C2312yes—
616C4×D4×C61C2314yes—
617C4×D4×C61C2314yes—
618C4×D4×C61C2312yes—
619C4×D4×C61C2314yes—
620C4×D4×C61C2312yes—
621C4×D4×C61C2312yes—
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×C61C2312yes—
637C4×D4×C61C2314yes—
638C4×D4×C61C2312yes—
639C4×D4×C61C2312yes—
640C4×D4×C61C2314yes—
641C4×D4×C61C2311yescharacteristic
642C4×D4×C61C2312yes—
643C4×D4×C61C2312yes—
644C4×D4×C61C2311yescharacteristic
645C4×D4×C61C2312yes—
646C4×D4×C61C2312yes—
647C4×D4×C61C2314yes—
648C4×D4×C61C2314yes—
649C4×D4×C61C2312yes—
650C4×D4×C61C2311yescharacteristic
651C4×D4×C61C2311yescharacteristic
652C4×D4×C61C2312yes—
653#117×C61C2312yes—
654#117×C61C2314yes—
655#117×C61C2312yes—
656#117×C61C2312yes—
657#117×C61C2314yes—
658#117×C61C2314yes—
659#117×C61C2314yes—
660#117×C61C2312yes—
661#117×C61C2314yes—
662#117×C61C2314yes—
663#117×C61C2314yes—
664#117×C61C2314yes—
665#117×C61C2312yes—
666#117×C61C2312yes—
667#117×C61C2312yes—
668#117×C61C2314yes—
669#117×C61C2314yes—
670#117×C61C2314yes—
671#117×C61C2314yes—
672#117×C61C2314yes—
673#117×C61C2312yes—
674#117×C61C2312yes—
675#117×C61C2314yes—
676#117×C61C2314yes—
677#117×C61C2314yes—
678#117×C61C2314yes—
679#117×C61C2312yes—
680#117×C61C2312yes—
681#117×C61C2312yes—
682#117×C61C2312yes—
683#117×C61C2311yescharacteristic
684C2×C4⋊C4×C61C2312yes—
685C2×C4⋊C4×C61C2312yes—
686C2×C4⋊C4×C61C2314yes—
687C2×C4⋊C4×C61C2311yescharacteristic
688C2×C4⋊C4×C61C2314yes—
689C2×C4⋊C4×C61C2312yes—
690C2×C4⋊C4×C61C2314yes—
691C2×C4⋊C4×C61C2312yes—
692C2×C4⋊C4×C61C2311yescharacteristic
693C2×C4⋊C4×C61C2312yes—
694C2×C4⋊C4×C61C2314yes—
695C2×C4⋊C4×C61C2314yes—
696C2×C4⋊C4×C61C2312yes—
697C2×C4⋊C4×C61C2312yes—
698C2×C4⋊C4×C61C2312yes—
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×C61C2312yes—
708C2×C42×C61C2311yescharacteristic
709C2×C42×C61C2314yes—
710C2×C42×C61C2314yes—
711C2×C42×C61C2312yes—
712C24×C61C2414yes—
713C24×C61C2412yes—
714#41×C61—44no—
715#41×C61—42no—
716#41×C61—42no—
717#41×C61—44no—
718#41×C61—42no—
719#41×C61—44no—
720#41×C61—84no—
721#41×C61—84no—
722#41×C61—84no—
723#41×C61—82no—
724#41×C61—84no—
725C2×Q8×C61—44no—
726C2×Q8×C61—82no—
727C2×Q8×C61—84no—
728C2×Q8×C61C2411yescharacteristic
729C2×Q8×C61C2412yes—
730C2×Q8×C61C2411yescharacteristic
731C2×Q8×C61C2411yescharacteristic
732C2×Q8×C61C2414yes—
733C2×Q8×C61C2412yes—
734C2×Q8×C61C2411yescharacteristic
735C2×Q8×C61C2414yes—
736C2×Q8×C61C2412yes—
737C2×Q8×C61C2414yes—
738C2×Q8×C61C2414yes—
739C2×Q8×C61C2412yes—
740C2×Q8×C61C2411yescharacteristic
741C2×Q8×C61C2414yes—
742C2×D4×C61—44no—
743C2×D4×C61—82no—
744C2×D4×C61—84no—
745C2×D4×C61C2411yescharacteristic
746C2×D4×C61C2412yes—
747C2×D4×C61C2412yes—
748C2×D4×C61C2412yes—
749C2×D4×C61C2411yescharacteristic
750C2×D4×C61C2414yes—
751C2×D4×C61C2414yes—
752C2×D4×C61C2412yes—
753C2×D4×C61C2412yes—
754C2×D4×C61C2412yes—
755C2×D4×C61C2412yes—
756C2×D4×C61C2412yes—
757C2×D4×C61C2412yes—
758C2×D4×C61C2411yescharacteristic
759C2×D4×C61C2414yes—
760C2×D4×C61C2412yes—
761C2×D4×C61C2414yes—
762C2×D4×C61C2414yes—
763C2×D4×C61C2412yes—
764C2×D4×C61C2412yes—
765C2×D4×C61C2411yescharacteristic
766C2×D4×C61C2412yes—
767C2×D4×C61C2412yes—
768C2×D4×C61C2414yes—
769C2×D4×C61C2411yescharacteristic
770C2×D4×C61C2414yes—
771C2×D4×C61C2414yes—
772C2×D4×C61C2412yes—
773C2×D4×C61C2412yes—
774C2×D4×C61C2414yes—
775C2×D4×C61C2414yes—
776C2×D4×C61C2414yes—
777C2×D4×C61C2412yes—
778C2×D4×C61C2414yes—
779C22×C4×C61—44no—
780C22×C4×C61C2412yes—
781C22×C4×C61C2411yescharacteristic
782C22×C4×C61C2412yes—
783C22×C4×C61C2412yes—
784C22×C4×C61C2412yes—
785C22×C4×C61C2412yes—
786C22×C4×C61C2412yes—
787C22×C4×C61C2412yes—
788C22×C4×C61C2414yes—
789C22×C4×C61C2414yes—
790C22×C4×C61C2414yes—
791C22×C4×C61C2414yes—
792C22×C4×C61C2414yes—
793C22×C4×C61C2411yescharacteristic
794C22×C4×C61C2412yes—
795C22×C4×C61C2411yescharacteristic
796C22×C4×C61C2412yes—
797C22×C4×C61C2412yes—
798C22×C4×C61C2412yes—
799C22×C4×C61C2414yes—
800C22×C4×C61C2414yes—
801C22×C4×C61C2414yes—
802C22×C4×C61C2414yes—
803C22×C4×C61C2414yes—
804C22×C4×C61C2414yes—
805C22×C4×C61C2414yes—
806C22×C4×C61C2412yes—
807C22×C4×C61C2412yes—
808C22×C4×C61C2412yes—
809C22×C4×C61C2414yes—
810C22×C4×C61C2414yes—
811C4⋊C4×C61C2412yes—
812C4⋊C4×C61C2412yes—
813C4⋊C4×C61C2412yes—
814C4⋊C4×C61C2411yescharacteristic
815C4⋊C4×C61C2412yes—
816C4⋊C4×C61C2411yescharacteristic
817C4⋊C4×C61C2414yes—
818C4⋊C4×C61C2412yes—
819C4⋊C4×C61C2412yes—
820C4⋊C4×C61C2414yes—
821C4⋊C4×C61C2414yes—
822C4⋊C4×C61C2412yes—
823C4⋊C4×C61C2414yes—
824C4⋊C4×C61C2412yes—
825C4⋊C4×C61C2414yes—
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×C61C2412yes—
840C4⋊C4×C61C2414yes—
841C4⋊C4×C61C2414yes—
842C4⋊C4×C61C2412yes—
843C4⋊C4×C61C2414yes—
844C4⋊C4×C61C2414yes—
845C4⋊C4×C61C2412yes—
846C4⋊C4×C61C2412yes—
847C4⋊C4×C61C2414yes—
848C4⋊C4×C61C2412yes—
849C4⋊C4×C61C2414yes—
850C4⋊C4×C61C2412yes—
851C4⋊C4×C61C2414yes—
852C4⋊C4×C61C2414yes—
853C4⋊C4×C61C2412yes—
854C4⋊C4×C61C2411yescharacteristic
855C4⋊C4×C61C2412yes—
856C4⋊C4×C61C2411yescharacteristic
857C4⋊C4×C61C2412yes—
858C4⋊C4×C61C2412yes—
859C4⋊C4×C61C2412yes—
860C4⋊C4×C61C2414yes—
861C4⋊C4×C61C2412yes—
862C4⋊C4×C61C2414yes—
863C4⋊C4×C61C2412yes—
864C4⋊C4×C61C2414yes—
865C4⋊C4×C61C2412yes—
866C4⋊C4×C61C2412yes—
867C4⋊C4×C61C2412yes—
868C4⋊C4×C61C2414yes—
869C4⋊C4×C61C2411yescharacteristic
870C4⋊C4×C61C2414yes—
871C4⋊C4×C61C2411yescharacteristic
872C4⋊C4×C61C2412yes—
873C4⋊C4×C61C2414yes—
874C4⋊C4×C61C2412yes—
875C4⋊C4×C61C2412yes—
876C4⋊C4×C61C2412yes—
877C22⋊C4×C61C2414yes—
878C22⋊C4×C61C2412yes—
879C22⋊C4×C61C2412yes—
880C22⋊C4×C61C2412yes—
881C22⋊C4×C61C2414yes—
882C22⋊C4×C61C2412yes—
883C22⋊C4×C61C2412yes—
884C22⋊C4×C61C2412yes—
885C22⋊C4×C61C2414yes—
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×C61C2412yes—
907C22⋊C4×C61C2412yes—
908C22⋊C4×C61C2414yes—
909C22⋊C4×C61C2412yes—
910C22⋊C4×C61C2414yes—
911C22⋊C4×C61C2414yes—
912C22⋊C4×C61C2412yes—
913C22⋊C4×C61C2412yes—
914C22⋊C4×C61C2414yes—
915C22⋊C4×C61C2412yes—
916C22⋊C4×C61C2414yes—
917C22⋊C4×C61C2412yes—
918C22⋊C4×C61C2412yes—
919C22⋊C4×C61C2412yes—
920C22⋊C4×C61C2414yes—
921C22⋊C4×C61C2414yes—
922C22⋊C4×C61C2414yes—
923C22⋊C4×C61C2412yes—
924C22⋊C4×C61C2414yes—
925C22⋊C4×C61C2412yes—
926C22⋊C4×C61C2412yes—
927C22⋊C4×C61C2412yes—
928C22⋊C4×C61C2412yes—
929C22⋊C4×C61C2412yes—
930C22⋊C4×C61C2414yes—
931C22⋊C4×C61C2414yes—
932C22⋊C4×C61C2412yes—
933C22⋊C4×C61C2412yes—
934C22⋊C4×C61C2414yes—
935C22⋊C4×C61C2412yes—
936C22⋊C4×C61C2412yes—
937C42×C61C2411yescharacteristic
938C42×C61C2412yes—
939C42×C61C2412yes—
940C42×C61C2414yes—
941C42×C61C2414yes—
942C42×C61C2414yes—
943C42×C61C2414yes—
944C42×C61C2412yes—
945C42×C61C2414yes—
946C42×C61C2412yes—
947C42×C61C2411yescharacteristic
948C42×C61C2412yes—
949C42×C61C2412yes—
950C42×C61C2411yescharacteristic
951C42×C61C2414yes—
952C42×C61C2412yes—
953C42×C61C2411yescharacteristic
954C42×C61C2414yes—
955C42×C61C2414yes—
956C42×C61C2414yes—
957C42×C61C2414yes—
958C42×C61C2414yes—
959C23×C61—42no—
960C23×C61—42no—
961C23×C61—42no—
962C23×C61—44no—
963C23×C61—44no—
964C23×C61—44no—
965C23×C61C2512yes—
966C23×C61C2512yes—
967C23×C61C2512yes—
968C23×C61C2512yes—
969C23×C61C2514yes—
970C23×C61C2512yes—
971C23×C61C2511yescharacteristic
972Q8×C61—22no—
973Q8×C61—24no—
974Q8×C61—44no—
975Q8×C61—44no—
976Q8×C61—41no—
977Q8×C61—44no—
978Q8×C61—44no—
979Q8×C61—42no—
980Q8×C61—44no—
981Q8×C61—41no—
982Q8×C61—41no—
983Q8×C61—42no—
984Q8×C61—41no—
985Q8×C61—42no—
986D4×C61—22no—
987D4×C61—24no—
988D4×C61—44no—
989D4×C61—41no—
990D4×C61—44no—
991D4×C61—44no—
992D4×C61—44no—
993D4×C61—42no—
994D4×C61—44no—
995D4×C61—44no—
996D4×C61—42no—
997D4×C61—44no—
998D4×C61—44no—
999D4×C61—42no—
1000D4×C61—42no—
1001D4×C61—41no—
1002D4×C61—42no—
1003D4×C61—42no—
1004D4×C61—42no—
1005D4×C61—42no—
1006D4×C61—42no—
1007D4×C61—41no—
1008D4×C61—42no—
1009D4×C61—41no—
1010D4×C61—42no—
1011D4×C61—44no—
1012D4×C61—44no—
1013D4×C61—42no—
1014D4×C61—42no—
1015D4×C61—44no—
1016D4×C61—44no—
1017D4×C61—42no—
1018D4×C61—42no—
1019D4×C61—42no—
1020C2×C4×C61—24no—
1021C2×C4×C61—24no—
1022C2×C4×C61—24no—
1023C2×C4×C61—24no—
1024C2×C4×C61—22no—
1025C2×C4×C61—42no—
1026C2×C4×C61—42no—
1027C2×C4×C61—42no—
1028C2×C4×C61—44no—
1029C2×C4×C61—44no—
1030C2×C4×C61—42no—
1031C2×C4×C61—42no—
1032C2×C4×C61—44no—
1033C2×C4×C61—42no—
1034C2×C4×C61—41no—
1035C2×C4×C61—42no—
1036C2×C4×C61—44no—
1037C2×C4×C61—44no—
1038C2×C4×C61—42no—
1039C2×C4×C61—44no—
1040C2×C4×C61—44no—
1041C2×C4×C61—44no—
1042C2×C4×C61—44no—
1043C2×C4×C61—44no—
1044C2×C4×C61—42no—
1045C2×C4×C61—42no—
1046C2×C4×C61—44no—
1047C2×C4×C61—44no—
1048C2×C4×C61—41no—
1049C2×C4×C61—44no—
1050C2×C4×C61—44no—
1051C2×C4×C61C2512yes—
1052C2×C4×C61C2511yescharacteristic
1053C2×C4×C61C2511yescharacteristic
1054C2×C4×C61C2512yes—
1055C2×C4×C61C2512yes—
1056C2×C4×C61C2512yes—
1057C2×C4×C61C2512yes—
1058C2×C4×C61C2512yes—
1059C2×C4×C61C2514yes—
1060C2×C4×C61C2511yescharacteristic
1061C2×C4×C61C2512yes—
1062C2×C4×C61C2514yes—
1063C2×C4×C61C2512yes—
1064C2×C4×C61C2512yes—
1065C2×C4×C61C2512yes—
1066C2×C4×C61C2511yescharacteristic
1067C2×C4×C61C2514yes—
1068C2×C4×C61C2512yes—
1069C2×C4×C61C2514yes—
1070C2×C4×C61C2514yes—
1071C2×C4×C61C2511yescharacteristic
1072C2×C4×C61C2511yescharacteristic
1073#63065C6111yesmaximal, characteristic, direct product factor, Sylow
1074C22×C61—22no—
1075C22×C61—22no—
1076C22×C61—22no—
1077C22×C61—22no—
1078C22×C61—21no—
1079C22×C61—24no—
1080C22×C61—22no—
1081C22×C61—22no—
1082C22×C61—21no—
1083C22×C61—22no—
1084C22×C61—22no—
1085C22×C61—22no—
1086C22×C61—24no—
1087C22×C61—22no—
1088C22×C61—21no—
1089C22×C61—22no—
1090C22×C61—24no—
1091C22×C61—22no—
1092C22×C61—22no—
1093C22×C61—22no—
1094C22×C61—22no—
1095C22×C61—84no—
1096C22×C61—164no—
1097C22×C61C2611yescharacteristic
1098C4×C61—22no—
1099C4×C61—22no—
1100C4×C61—22no—
1101C4×C61—21no—
1102C4×C61—22no—
1103C4×C61—24no—
1104C4×C61—22no—
1105C4×C61—24no—
1106C4×C61—21no—
1107C4×C61—24no—
1108C4×C61—21no—
1109C4×C61—24no—
1110C4×C61—22no—
1111C4×C61—22no—
1112C4×C61—22no—
1113C4×C61—22no—
1114C4×C61—22no—
1115C4×C61—24no—
1116C4×C61—21no—
1117C4×C61—22no—
1118C4×C61—21no—
1119C4×C61#58512yes—
1120#3567C2×C6112yescomplemented
1121#3566C2×C6114yescomplemented
1122#3564C2×C6114yescomplemented
1123#3563C2×C6111yescharacteristic, complemented
1124#3562C2×C6114yescomplemented
1125#3561C2×C6112yescomplemented
1126#3560C2×C6114yescomplemented
1127#3559C2×C6111yescharacteristic, complemented
1128#3552C2×C6112yescomplemented
1129#3551C2×C6112yescomplemented
1130#3551C2×C6114yescomplemented
1131#3548C2×C6111yescharacteristic, complemented
1132#3547C2×C6114yescomplemented
1133#3545C2×C6112yescomplemented
1134#3544C2×C6112yescomplemented
1135#3542C2×C6112yescomplemented
1136#3541C2×C6112yescomplemented
1137#3536C2×C6112yescomplemented
1138#3531C2×C6112yescomplemented
1139#3529C2×C6111yescharacteristic, complemented
1140#3524C2×C6112yescomplemented
1141#3521C2×C6112yescomplemented
1142#3518C2×C6111yescharacteristic, complemented
1143#3514C2×C6111yescharacteristic, complemented
1144#3512C2×C6111yescharacteristic, complemented
1145#3511C2×C6112yescomplemented
1146#3495C2×C6112yescomplemented
1147#3494C2×C6112yescomplemented
1148#3493C2×C6112yescomplemented
1149C2×C61—42no—
1150C2×C61—41no—
1151C2×C61—42no—
1152C2×C61—42no—
1153C2×C61—42no—
1154C2×C61—44no—
1155C2×C61—42no—
1156C2×C61C2×#58511yescharacteristic
1157C2×C61H(7,𝔽2)11yescharacteristic
1158C2×C612−1+611yescharacteristic
1159#564C22×C6112yescomplemented
1160#563C22×C6112yes—
1161#563C22×C6111yescharacteristic, complemented
1162#563C22×C6112yescomplemented
1163#563C22×C6114yescomplemented
1164#563C22×C6114yescomplemented
1165#563C22×C6114yescomplemented
1166#563C22×C6114yescomplemented
1167#563C22×C6112yescomplemented
1168#563C22×C6114yescomplemented
1169#563C22×C6114yescomplemented
1170#562C22×C6111yescharacteristic
1171#562C22×C6112yescomplemented
1172#562C22×C6112yescomplemented
1173#562C22×C6111yescharacteristic, complemented
1174#562C22×C6114yescomplemented
1175#562C22×C6114yescomplemented
1176#562C22×C6112yescomplemented
1177#562C22×C6114yescomplemented
1178#562C22×C6114yescomplemented
1179#562C22×C6112yescomplemented
1180#562C22×C6112yescomplemented
1181H(3,𝔽4)C22×C6111yescharacteristic
1182#560C22×C6112yes—
1183#560C22×C6114yes—
1184#560C22×C6112yescomplemented
1185#560C22×C6112yescomplemented
1186#560C22×C6114yescomplemented
1187#559C22×C6111yescharacteristic, complemented
1188#559C22×C6114yescomplemented
1189Q82C22×C6111yescharacteristic, complemented
1190#557C22×C6112yescomplemented
1191#556C22×C6111yescharacteristic
1192#556C22×C6112yescomplemented
1193#556C22×C6112yescomplemented
1194#556C22×C6114yescomplemented
1195#556C22×C6112yescomplemented
1196#556C22×C6111yescharacteristic, complemented
1197#556C22×C6114yescomplemented
1198#556C22×C6112yescomplemented
1199#555C22×C6112yes—
1200#555C22×C6111yescharacteristic
1201#555C22×C6112yescomplemented
1202#555C22×C6114yescomplemented
1203#555C22×C6112yescomplemented
1204#555C22×C6112yescomplemented
1205#555C22×C6114yescomplemented
1206#555C22×C6114yescomplemented
1207#554C22×C6112yescomplemented
1208#554C22×C6112yescomplemented
1209#554C22×C6112yescomplemented
1210#554C22×C6112yescomplemented
1211#554C22×C6112yescomplemented
1212#554C22×C6114yescomplemented
1213#554C22×C6112yescomplemented
1214#553C22×C6112yescomplemented
1215#553C22×C6112yescomplemented
1216#553C22×C6114yescomplemented
1217#553C22×C6112yescomplemented
1218#553C22×C6112yescomplemented
1219#553C22×C6112yescomplemented
1220#553C22×C6114yescomplemented
1221#553C22×C6114yescomplemented
1222#553C22×C6112yescomplemented
1223#553C22×C6114yescomplemented
1224#553C22×C6114yescomplemented
1225#553C22×C6114yescomplemented
1226#553C22×C6114yescomplemented
1227#553C22×C6114yescomplemented
1228#552C22×C6112yes—
1229#552C22×C6112yescomplemented
1230#552C22×C6112yescomplemented
1231#552C22×C6114yescomplemented
1232#552C22×C6112yescomplemented
1233#552C22×C6112yescomplemented
1234#552C22×C6114yescomplemented
1235#552C22×C6114yescomplemented
1236#552C22×C6112yescomplemented
1237#552C22×C6114yescomplemented
1238#552C22×C6114yescomplemented
1239#552C22×C6114yescomplemented
1240#552C22×C6114yescomplemented
1241#551C22×C6114yes—
1242#551C22×C6114yescomplemented
1243#551C22×C6114yescomplemented
1244#551C22×C6114yescomplemented
1245#551C22×C6114yescomplemented
1246#551C22×C6114yescomplemented
1247#551C22×C6114yescomplemented
1248#551C22×C6114yescomplemented
1249#551C22×C6114yescomplemented
1250#550C22×C6112yescomplemented
1251#550C22×C6112yescomplemented
1252D4×Q8C22×C6111yescharacteristic, complemented
1253D4×Q8C22×C6111yescharacteristic, complemented
1254D4×Q8C22×C6114yescomplemented
1255#548C22×C6114yescomplemented
1256#548C22×C6114yescomplemented
1257#548C22×C6112yescomplemented
1258#548C22×C6112yescomplemented
1259#548C22×C6112yescomplemented
1260#548C22×C6112yescomplemented
1261#548C22×C6114yescomplemented
1262#547C22×C6112yes—
1263#547C22×C6112yescomplemented
1264#547C22×C6112yescomplemented
1265#547C22×C6112yescomplemented
1266#547C22×C6112yescomplemented
1267#547C22×C6114yescomplemented
1268#547C22×C6114yescomplemented
1269#546C22×C6112yes—
1270#546C22×C6112yes—
1271#546C22×C6114yes—
1272#546C22×C6114yescomplemented
1273#546C22×C6114yescomplemented
1274#546C22×C6112yescomplemented
1275#546C22×C6112yescomplemented
1276#546C22×C6114yescomplemented
1277#546C22×C6114yescomplemented
1278D42C22×C6111yescharacteristic
1279#544C22×C6112yescomplemented
1280#544C22×C6112yescomplemented
1281#544C22×C6112yescomplemented
1282#544C22×C6114yescomplemented
1283#544C22×C6112yescomplemented
1284#543C22×C6114yescomplemented
1285#542C22×C6114yes—
1286#542C22×C6114yescomplemented
1287#542C22×C6114yescomplemented
1288#542C22×C6114yescomplemented
1289#542C22×C6112yescomplemented
1290#542C22×C6112yescomplemented
1291#542C22×C6114yescomplemented
1292#542C22×C6112yescomplemented
1293#542C22×C6112yescomplemented
1294#542C22×C6114yescomplemented
1295#542C22×C6114yescomplemented
1296#542C22×C6114yescomplemented
1297#541C22×C6114yescomplemented
1298#541C22×C6112yescomplemented
1299#541C22×C6112yescomplemented
1300#541C22×C6114yescomplemented
1301#541C22×C6114yescomplemented
1302#540C22×C6114yescomplemented
1303#540C22×C6112yescomplemented
1304#540C22×C6112yescomplemented
1305#540C22×C6114yescomplemented
1306#540C22×C6114yescomplemented
1307#540C22×C6114yescomplemented
1308#540C22×C6114yescomplemented
1309#540C22×C6114yescomplemented
1310#539C22×C6112yes—
1311#539C22×C6114yescomplemented
1312#539C22×C6114yescomplemented
1313#539C22×C6114yescomplemented
1314#539C22×C6114yescomplemented
1315#539C22×C6114yescomplemented
1316#539C22×C6114yescomplemented
1317#539C22×C6112yescomplemented
1318#538C22×C6114yes—
1319#538C22×C6114yescomplemented
1320#538C22×C6114yescomplemented
1321#538C22×C6114yescomplemented
1322#538C22×C6114yescomplemented
1323#538C22×C6114yescomplemented
1324#538C22×C6114yescomplemented
1325#538C22×C6114yescomplemented
1326#538C22×C6114yescomplemented
1327#538C22×C6114yescomplemented
1328#537C22×C6112yes—
1329#537C22×C6111yescharacteristic
1330#537C22×C6112yescomplemented
1331#537C22×C6112yescomplemented
1332#537C22×C6111yescharacteristic, complemented
1333#537C22×C6114yescomplemented
1334#537C22×C6114yescomplemented
1335#537C22×C6112yescomplemented
1336#536C22×C6112yescomplemented
1337#536C22×C6114yescomplemented
1338#536C22×C6114yescomplemented
1339#536C22×C6114yescomplemented
1340#535C22×C6112yes—
1341#535C22×C6114yescomplemented
1342#534C22×C6114yes—
1343#533C22×C6114yescomplemented
1344#533C22×C6114yescomplemented
1345#533C22×C6112yescomplemented
1346#533C22×C6111yescharacteristic, complemented
1347#532C22×C6114yescomplemented
1348#532C22×C6112yescomplemented
1349#532C22×C6114yescomplemented
1350#532C22×C6111yescharacteristic, complemented
1351#532C22×C6111yescharacteristic, complemented
1352C2×C4⋊Q8C22×C6112yescomplemented
1353#529C22×C6111yescharacteristic
1354#529C22×C6114yescomplemented
1355#529C22×C6114yescomplemented
1356#529C22×C6114yescomplemented
1357#529C22×C6114yescomplemented
1358#529C22×C6112yescomplemented
1359#529C22×C6112yescomplemented
1360#529C22×C6112yescomplemented
1361#529C22×C6111yescharacteristic, complemented
1362#529C22×C6112yescomplemented
1363#529C22×C6112yescomplemented
1364#529C22×C6114yescomplemented
1365#529C22×C6112yescomplemented
1366#529C22×C6112yescomplemented
1367#529C22×C6114yescomplemented
1368#529C22×C6112yescomplemented
1369#529C22×C6114yescomplemented
1370C2×#126C22×C6114yescomplemented
1371C2×#125C22×C6111yescharacteristic, complemented
1372C2×#124C22×C6112yes—
1373#525C22×C6112yes—
1374#525C22×C6112yescomplemented
1375#525C22×C6112yescomplemented
1376#525C22×C6112yescomplemented
1377C2×C22⋊Q8C22×C6112yescomplemented
1378C2×#121C22×C6112yescomplemented
1379#520C22×C6111yescharacteristic, complemented
1380#520C22×C6112yescomplemented
1381#520C22×C6112yescomplemented
1382#520C22×C6111yescharacteristic, complemented
1383#519C22×C6112yescomplemented
1384#518C22×C6112yescomplemented
1385C4×#41C22×C6112yescomplemented
1386C4×#41C22×C6111yescharacteristic, complemented
1387C2×#117C22×C6112yescomplemented
1388C61#6306511yescharacteristic, direct product factor, Sylow
1389C2×#41C23×C6111yescharacteristic
1390C2×#41C23×C6112yes—
1391C2×#41C23×C6112yes—
1392C2×#41C23×C6111yescharacteristic
1393C2×#41C23×C6112yes—
1394C2×#41C23×C6111yescharacteristic
1395C2×#41C23×C6114yes—
1396C2×#41C23×C6114yes—
1397C2×#41C23×C6114yes—
1398C2×#41C23×C6112yes—
1399C2×#41C23×C6114yes—
1400C22×Q8C23×C6112yes—
1401C22×Q8C23×C6112yes—
1402C22×Q8C23×C6114yes—
1403C22×D4C23×C6112yes—
1404C22×D4C23×C6114yes—
1405C22×D4C23×C6112yes—
1406C23×C4C23×C6112yes—
1407C4⋊Q8C23×C6114yes—
1408C4⋊Q8C23×C6114yes—
1409C4⋊Q8C23×C6112yes—
1410C4⋊Q8C23×C6112yes—
1411C4⋊Q8C23×C6112yes—
1412C4⋊Q8C23×C6112yes—
1413C4⋊Q8C23×C6112yes—
1414C4⋊Q8C23×C6114yes—
1415C4⋊Q8C23×C6111yescharacteristic
1416C4⋊Q8C23×C6111yescharacteristic
1417C4⋊Q8C23×C6112yes—
1418C4⋊Q8C23×C6114yes—
1419C4⋊Q8C23×C6111yescharacteristic
1420C4⋊Q8C23×C6114yes—
1421C4⋊Q8C23×C6112yes—
1422C4⋊Q8C23×C6111yescharacteristic
1423C4⋊Q8C23×C6114yes—
1424C4⋊Q8C23×C6114yes—
1425C4⋊Q8C23×C6114yes—
1426#127C23×C6112yes—
1427#127C23×C6114yes—
1428#127C23×C6111yescharacteristic
1429#127C23×C6111yescharacteristic
1430#127C23×C6114yes—
1431#126C23×C6112yes—
1432#126C23×C6114yes—
1433#126C23×C6114yes—
1434#126C23×C6114yes—
1435#126C23×C6114yes—
1436#126C23×C6114yes—
1437#126C23×C6114yes—
1438#126C23×C6114yes—
1439#126C23×C6112yes—
1440#126C23×C6112yes—
1441#126C23×C6112yes—
1442#126C23×C6114yes—
1443#126C23×C6112yes—
1444#126C23×C6114yes—
1445#126C23×C6114yes—
1446#126C23×C6114yes—
1447#126C23×C6114yes—
1448#126C23×C6114yes—
1449#126C23×C6114yes—
1450#126C23×C6114yes—
1451#126C23×C6112yes—
1452#126C23×C6114yes—
1453#126C23×C6114yes—
1454#126C23×C6114yes—
1455#126C23×C6114yes—
1456#126C23×C6114yes—
1457#126C23×C6114yes—
1458#126C23×C6114yes—
1459#126C23×C6114yes—
1460#126C23×C6114yes—
1461#126C23×C6114yes—
1462#126C23×C6114yes—
1463#126C23×C6114yes—
1464#126C23×C6114yes—
1465#125C23×C6112yes—
1466#125C23×C6112yes—
1467#125C23×C6112yes—
1468#125C23×C6112yes—
1469#125C23×C6111yescharacteristic
1470#125C23×C6111yescharacteristic
1471#125C23×C6112yes—
1472#125C23×C6114yes—
1473#125C23×C6114yes—
1474#125C23×C6114yes—
1475#125C23×C6114yes—
1476#125C23×C6114yes—
1477#125C23×C6114yes—
1478#125C23×C6114yes—
1479#125C23×C6112yes—
1480#125C23×C6112yes—
1481#125C23×C6112yes—
1482#125C23×C6112yes—
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#124C23×C6111yescharacteristic
1494#124C23×C6112yes—
1495#124C23×C6114yes—
1496#124C23×C6114yes—
1497#124C23×C6112yes—
1498#124C23×C6112yes—
1499#124C23×C6111yescharacteristic
1500#124C23×C6111yescharacteristic
1501#124C23×C6111yescharacteristic
1502#124C23×C6114yes—
1503#124C23×C6114yes—
1504#124C23×C6112yes—
1505#124C23×C6114yes—
1506#124C23×C6114yes—
1507#124C23×C6114yes—
1508#124C23×C6114yes—
1509#124C23×C6112yes—
1510#124C23×C6112yes—
1511#124C23×C6114yes—
1512#124C23×C6112yes—
1513#124C23×C6114yes—
1514#124C23×C6114yes—
1515#124C23×C6114yes—
1516#124C23×C6114yes—
1517#124C23×C6112yes—
1518#124C23×C6112yes—
1519#124C23×C6114yes—
1520#124C23×C6114yes—
1521#124C23×C6114yes—
1522#124C23×C6114yes—
1523#124C23×C6114yes—
1524#124C23×C6114yes—
1525#123C23×C6112yes—
1526#123C23×C6112yes—
1527#123C23×C6114yes—
1528#123C23×C6112yes—
1529#123C23×C6112yes—
1530#123C23×C6112yes—
1531#123C23×C6112yes—
1532#123C23×C6112yes—
1533#123C23×C6114yes—
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×C6114yes—
1545#123C23×C6112yes—
1546#123C23×C6112yes—
1547#123C23×C6114yes—
1548#123C23×C6114yes—
1549#123C23×C6114yes—
1550#123C23×C6114yes—
1551#123C23×C6114yes—
1552#123C23×C6114yes—
1553#123C23×C6112yes—
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—
1563#123C23×C6114yes—
1564#123C23×C6114yes—
1565#123C23×C6114yes—
1566#123C23×C6114yes—
1567#123C23×C6114yes—
1568#123C23×C6114yes—
1569#123C23×C6114yes—
1570#123C23×C6114yes—
1571#123C23×C6114yes—
1572#123C23×C6114yes—
1573#123C23×C6114yes—
1574C22⋊Q8C23×C6114yes—
1575C22⋊Q8C23×C6112yes—
1576C22⋊Q8C23×C6112yes—
1577C22⋊Q8C23×C6112yes—
1578C22⋊Q8C23×C6112yes—
1579C22⋊Q8C23×C6114yes—
1580C22⋊Q8C23×C6112yes—
1581C22⋊Q8C23×C6112yes—
1582C22⋊Q8C23×C6112yes—
1583C22⋊Q8C23×C6112yes—
1584C22⋊Q8C23×C6112yes—
1585C22⋊Q8C23×C6112yes—
1586C22⋊Q8C23×C6112yes—
1587C22⋊Q8C23×C6112yes—
1588C22⋊Q8C23×C6111yescharacteristic
1589C22⋊Q8C23×C6114yes—
1590C22⋊Q8C23×C6114yes—
1591C22⋊Q8C23×C6112yes—
1592C22⋊Q8C23×C6112yes—
1593C22⋊Q8C23×C6114yes—
1594C22⋊Q8C23×C6112yes—
1595C22⋊Q8C23×C6112yes—
1596C22⋊Q8C23×C6114yes—
1597C22⋊Q8C23×C6114yes—
1598C22⋊Q8C23×C6112yes—
1599C22⋊Q8C23×C6112yes—
1600C22⋊Q8C23×C6112yes—
1601C22⋊Q8C23×C6111yescharacteristic
1602C22⋊Q8C23×C6112yes—
1603C22⋊Q8C23×C6114yes—
1604C22⋊Q8C23×C6114yes—
1605C22⋊Q8C23×C6114yes—
1606C22⋊Q8C23×C6112yes—
1607C22⋊Q8C23×C6112yes—
1608C22⋊Q8C23×C6114yes—
1609C22⋊Q8C23×C6114yes—
1610C22⋊Q8C23×C6114yes—
1611C22⋊Q8C23×C6114yes—
1612C22⋊Q8C23×C6114yes—
1613C22⋊Q8C23×C6114yes—
1614C22⋊Q8C23×C6114yes—
1615C22⋊Q8C23×C6114yes—
1616C22⋊Q8C23×C6114yes—
1617C22⋊Q8C23×C6114yes—
1618C22⋊Q8C23×C6114yes—
1619C22⋊Q8C23×C6114yes—
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—
1633#121C23×C6114yes—
1634#121C23×C6112yes—
1635#121C23×C6112yes—
1636#121C23×C6112yes—
1637#121C23×C6114yes—
1638#121C23×C6112yes—
1639#121C23×C6112yes—
1640#121C23×C6112yes—
1641#121C23×C6112yes—
1642#121C23×C6112yes—
1643#121C23×C6112yes—
1644#121C23×C6112yes—
1645#121C23×C6112yes—
1646#121C23×C6112yes—
1647#121C23×C6111yescharacteristic
1648#121C23×C6114yes—
1649#121C23×C6112yes—
1650#121C23×C6112yes—
1651#121C23×C6114yes—
1652#121C23×C6114yes—
1653#121C23×C6112yes—
1654#121C23×C6114yes—
1655#121C23×C6111yescharacteristic
1656#121C23×C6112yes—
1657#121C23×C6114yes—
1658#121C23×C6112yes—
1659#121C23×C6112yes—
1660#121C23×C6112yes—
1661#121C23×C6112yes—
1662#121C23×C6114yes—
1663#121C23×C6114yes—
1664#121C23×C6112yes—
1665#121C23×C6112yes—
1666#121C23×C6112yes—
1667#121C23×C6114yes—
1668#121C23×C6112yes—
1669#121C23×C6112yes—
1670#121C23×C6114yes—
1671#121C23×C6114yes—
1672#121C23×C6114yes—
1673#121C23×C6112yes—
1674#121C23×C6112yes—
1675#121C23×C6112yes—
1676#121C23×C6114yes—
1677#121C23×C6114yes—
1678#121C23×C6114yes—
1679#121C23×C6114yes—
1680#121C23×C6114yes—
1681#121C23×C6114yes—
1682#121C23×C6114yes—
1683#121C23×C6114yes—
1684#121C23×C6114yes—
1685#121C23×C6114yes—
1686#121C23×C6114yes—
1687#121C23×C6114yes—
1688#121C23×C6114yes—
1689#121C23×C6114yes—
1690#121C23×C6114yes—
1691#121C23×C6114yes—
1692#121C23×C6114yes—
1693#121C23×C6114yes—
1694#121C23×C6114yes—
1695#121C23×C6114yes—
1696#120C23×C6112yes—
1697#120C23×C6112yes—
1698#120C23×C6114yes—
1699#120C23×C6112yes—
1700#120C23×C6112yes—
1701#120C23×C6112yes—
1702#120C23×C6112yes—
1703#120C23×C6114yes—
1704#120C23×C6114yes—
1705#120C23×C6114yes—
1706#120C23×C6114yes—
1707#120C23×C6114yes—
1708#120C23×C6114yes—
1709C4×Q8C23×C6111yescharacteristic
1710C4×Q8C23×C6112yes—
1711C4×Q8C23×C6112yes—
1712C4×Q8C23×C6111yescharacteristic
1713C4×Q8C23×C6114yes—
1714C4×Q8C23×C6114yes—
1715C4×Q8C23×C6112yes—
1716C4×Q8C23×C6112yes—
1717C4×Q8C23×C6114yes—
1718C4×Q8C23×C6112yes—
1719C4×Q8C23×C6112yes—
1720C4×Q8C23×C6112yes—
1721C4×Q8C23×C6111yescharacteristic
1722C4×Q8C23×C6111yescharacteristic
1723C4×Q8C23×C6112yes—
1724C4×Q8C23×C6114yes—
1725C4×Q8C23×C6114yes—
1726C4×Q8C23×C6114yes—
1727C4×Q8C23×C6114yes—
1728C4×Q8C23×C6112yes—
1729C4×Q8C23×C6112yes—
1730C4×D4C23×C6111yescharacteristic
1731C4×D4C23×C6112yes—
1732C4×D4C23×C6112yes—
1733C4×D4C23×C6114yes—
1734C4×D4C23×C6112yes—
1735C4×D4C23×C6114yes—
1736C4×D4C23×C6111yescharacteristic
1737C4×D4C23×C6112yes—
1738C4×D4C23×C6114yes—
1739C4×D4C23×C6112yes—
1740C4×D4C23×C6112yes—
1741C4×D4C23×C6114yes—
1742C4×D4C23×C6112yes—
1743C4×D4C23×C6114yes—
1744C4×D4C23×C6114yes—
1745C4×D4C23×C6114yes—
1746C4×D4C23×C6112yes—
1747C4×D4C23×C6112yes—
1748C4×D4C23×C6114yes—
1749C4×D4C23×C6114yes—
1750C4×D4C23×C6114yes—
1751C4×D4C23×C6114yes—
1752C4×D4C23×C6111yescharacteristic
1753C4×D4C23×C6112yes—
1754C4×D4C23×C6112yes—
1755C4×D4C23×C6112yes—
1756C4×D4C23×C6112yes—
1757C4×D4C23×C6111yescharacteristic
1758C4×D4C23×C6112yes—
1759C4×D4C23×C6112yes—
1760C4×D4C23×C6112yes—
1761C4×D4C23×C6112yes—
1762C4×D4C23×C6114yes—
1763C4×D4C23×C6114yes—
1764C4×D4C23×C6112yes—
1765C4×D4C23×C6114yes—
1766C4×D4C23×C6114yes—
1767C4×D4C23×C6114yes—
1768C4×D4C23×C6112yes—
1769C4×D4C23×C6114yes—
1770C4×D4C23×C6114yes—
1771C4×D4C23×C6114yes—
1772C4×D4C23×C6114yes—
1773C4×D4C23×C6114yes—
1774C4×D4C23×C6114yes—
1775C4×D4C23×C6114yes—
1776C4×D4C23×C6114yes—
1777C4×D4C23×C6114yes—
1778C4×D4C23×C6114yes—
1779C4×D4C23×C6114yes—
1780C4×D4C23×C6114yes—
1781C4×D4C23×C6114yes—
1782C4×D4C23×C6112yes—
1783#117C23×C6112yes—
1784#117C23×C6112yes—
1785#117C23×C6112yes—
1786#117C23×C6112yes—
1787#117C23×C6114yes—
1788#117C23×C6114yes—
1789#117C23×C6112yes—
1790#117C23×C6111yescharacteristic
1791#117C23×C6112yes—
1792#117C23×C6114yes—
1793#117C23×C6112yes—
1794#117C23×C6112yes—
1795#117C23×C6114yes—
1796#117C23×C6114yes—
1797#117C23×C6112yes—
1798#117C23×C6112yes—
1799#117C23×C6114yes—
1800#117C23×C6114yes—
1801#117C23×C6112yes—
1802#117C23×C6112yes—
1803#117C23×C6114yes—
1804#117C23×C6114yes—
1805#117C23×C6114yes—
1806#117C23×C6114yes—
1807#117C23×C6114yes—
1808#117C23×C6114yes—
1809#117C23×C6114yes—
1810#117C23×C6114yes—
1811#117C23×C6114yes—
1812#117C23×C6114yes—
1813#117C23×C6112yes—
1814C2×C4⋊C4C23×C6112yes—
1815C2×C4⋊C4C23×C6112yes—
1816C2×C4⋊C4C23×C6112yes—
1817C2×C4⋊C4C23×C6112yes—
1818C2×C4⋊C4C23×C6111yescharacteristic
1819C2×C4⋊C4C23×C6111yescharacteristic
1820C2×C4⋊C4C23×C6114yes—
1821C2×C4⋊C4C23×C6112yes—
1822C2×C4⋊C4C23×C6112yes—
1823C2×C4⋊C4C23×C6114yes—
1824C2×C4⋊C4C23×C6112yes—
1825C2×C4⋊C4C23×C6112yes—
1826C2×C4⋊C4C23×C6114yes—
1827C2×C4⋊C4C23×C6114yes—
1828C2×C4⋊C4C23×C6114yes—
1829C2×C22⋊C4C23×C6114yes—
1830C2×C22⋊C4C23×C6114yes—
1831C2×C22⋊C4C23×C6114yes—
1832C2×C22⋊C4C23×C6114yes—
1833C2×C22⋊C4C23×C6114yes—
1834C2×C22⋊C4C23×C6114yes—
1835C2×C22⋊C4C23×C6114yes—
1836C2×C22⋊C4C23×C6114yes—
1837C2×C42C23×C6114yes—
1838C2×C42C23×C6112yes—
1839C2×C42C23×C6111yescharacteristic
1840C2×C42C23×C6114yes—
1841C2×C42C23×C6112yes—
1842C24C24×C6114yes—
1843C24C24×C6112yes—
1844#41—44no—
1845#41—42no—
1846#41—42no—
1847#41—44no—
1848#41—42no—
1849#41—44no—
1850#41—84no—
1851#41—84no—
1852#41—84no—
1853#41—82no—
1854#41—84no—
1855C2×Q8—44no—
1856C2×Q8—82no—
1857C2×Q8—84no—
1858C2×Q8C24×C6111yescharacteristic
1859C2×Q8C24×C6112yes—
1860C2×Q8C24×C6111yescharacteristic
1861C2×Q8C24×C6111yescharacteristic
1862C2×Q8C24×C6114yes—
1863C2×Q8C24×C6112yes—
1864C2×Q8C24×C6111yescharacteristic
1865C2×Q8C24×C6114yes—
1866C2×Q8C24×C6112yes—
1867C2×Q8C24×C6114yes—
1868C2×Q8C24×C6114yes—
1869C2×Q8C24×C6112yes—
1870C2×Q8C24×C6111yescharacteristic
1871C2×Q8C24×C6114yes—
1872C2×D4—44no—
1873C2×D4—82no—
1874C2×D4—84no—
1875C2×D4C24×C6111yescharacteristic
1876C2×D4C24×C6112yes—
1877C2×D4C24×C6112yes—
1878C2×D4C24×C6112yes—
1879C2×D4C24×C6111yescharacteristic
1880C2×D4C24×C6114yes—
1881C2×D4C24×C6114yes—
1882C2×D4C24×C6112yes—
1883C2×D4C24×C6112yes—
1884C2×D4C24×C6112yes—
1885C2×D4C24×C6112yes—
1886C2×D4C24×C6112yes—
1887C2×D4C24×C6112yes—
1888C2×D4C24×C6111yescharacteristic
1889C2×D4C24×C6114yes—
1890C2×D4C24×C6112yes—
1891C2×D4C24×C6114yes—
1892C2×D4C24×C6114yes—
1893C2×D4C24×C6112yes—
1894C2×D4C24×C6111yescharacteristic
1895C2×D4C24×C6112yes—
1896C2×D4C24×C6112yes—
1897C2×D4C24×C6112yes—
1898C2×D4C24×C6114yes—
1899C2×D4C24×C6111yescharacteristic
1900C2×D4C24×C6114yes—
1901C2×D4C24×C6114yes—
1902C2×D4C24×C6112yes—
1903C2×D4C24×C6112yes—
1904C2×D4C24×C6114yes—
1905C2×D4C24×C6114yes—
1906C2×D4C24×C6114yes—
1907C2×D4C24×C6112yes—
1908C2×D4C24×C6114yes—
1909C22×C4—44no—
1910C22×C4C24×C6111yescharacteristic
1911C22×C4C24×C6112yes—
1912C22×C4C24×C6112yes—
1913C22×C4C24×C6112yes—
1914C22×C4C24×C6112yes—
1915C22×C4C24×C6112yes—
1916C22×C4C24×C6112yes—
1917C22×C4C24×C6112yes—
1918C22×C4C24×C6114yes—
1919C22×C4C24×C6114yes—
1920C22×C4C24×C6114yes—
1921C22×C4C24×C6114yes—
1922C22×C4C24×C6114yes—
1923C22×C4C24×C6111yescharacteristic
1924C22×C4C24×C6112yes—
1925C22×C4C24×C6111yescharacteristic
1926C22×C4C24×C6112yes—
1927C22×C4C24×C6112yes—
1928C22×C4C24×C6112yes—
1929C22×C4C24×C6114yes—
1930C22×C4C24×C6114yes—
1931C22×C4C24×C6114yes—
1932C22×C4C24×C6114yes—
1933C22×C4C24×C6114yes—
1934C22×C4C24×C6114yes—
1935C22×C4C24×C6114yes—
1936C22×C4C24×C6112yes—
1937C22×C4C24×C6112yes—
1938C22×C4C24×C6112yes—
1939C22×C4C24×C6114yes—
1940C22×C4C24×C6114yes—
1941C4⋊C4C24×C6112yes—
1942C4⋊C4C24×C6112yes—
1943C4⋊C4C24×C6112yes—
1944C4⋊C4C24×C6111yescharacteristic
1945C4⋊C4C24×C6112yes—
1946C4⋊C4C24×C6111yescharacteristic
1947C4⋊C4C24×C6114yes—
1948C4⋊C4C24×C6112yes—
1949C4⋊C4C24×C6112yes—
1950C4⋊C4C24×C6114yes—
1951C4⋊C4C24×C6114yes—
1952C4⋊C4C24×C6112yes—
1953C4⋊C4C24×C6114yes—
1954C4⋊C4C24×C6112yes—
1955C4⋊C4C24×C6114yes—
1956C4⋊C4C24×C6114yes—
1957C4⋊C4C24×C6114yes—
1958C4⋊C4C24×C6114yes—
1959C4⋊C4C24×C6114yes—
1960C4⋊C4C24×C6114yes—
1961C4⋊C4C24×C6114yes—
1962C4⋊C4C24×C6114yes—
1963C4⋊C4C24×C6114yes—
1964C4⋊C4C24×C6114yes—
1965C4⋊C4C24×C6114yes—
1966C4⋊C4C24×C6114yes—
1967C4⋊C4C24×C6114yes—
1968C4⋊C4C24×C6114yes—
1969C4⋊C4C24×C6112yes—
1970C4⋊C4C24×C6114yes—
1971C4⋊C4C24×C6114yes—
1972C4⋊C4C24×C6112yes—
1973C4⋊C4C24×C6114yes—
1974C4⋊C4C24×C6114yes—
1975C4⋊C4C24×C6112yes—
1976C4⋊C4C24×C6112yes—
1977C4⋊C4C24×C6114yes—
1978C4⋊C4C24×C6112yes—
1979C4⋊C4C24×C6114yes—
1980C4⋊C4C24×C6112yes—
1981C4⋊C4C24×C6114yes—
1982C4⋊C4C24×C6114yes—
1983C4⋊C4C24×C6112yes—
1984C4⋊C4C24×C6111yescharacteristic
1985C4⋊C4C24×C6112yes—
1986C4⋊C4C24×C6111yescharacteristic
1987C4⋊C4C24×C6112yes—
1988C4⋊C4C24×C6112yes—
1989C4⋊C4C24×C6112yes—
1990C4⋊C4C24×C6114yes—
1991C4⋊C4C24×C6112yes—
1992C4⋊C4C24×C6114yes—
1993C4⋊C4C24×C6112yes—
1994C4⋊C4C24×C6114yes—
1995C4⋊C4C24×C6112yes—
1996C4⋊C4C24×C6112yes—
1997C4⋊C4C24×C6112yes—
1998C4⋊C4C24×C6111yescharacteristic
1999C4⋊C4C24×C6114yes—
2000C4⋊C4C24×C6114yes—
2001C4⋊C4C24×C6111yescharacteristic
2002C4⋊C4C24×C6112yes—
2003C4⋊C4C24×C6114yes—
2004C4⋊C4C24×C6112yes—
2005C4⋊C4C24×C6112yes—
2006C4⋊C4C24×C6112yes—
2007C22⋊C4C24×C6114yes—
2008C22⋊C4C24×C6112yes—
2009C22⋊C4C24×C6112yes—
2010C22⋊C4C24×C6112yes—
2011C22⋊C4C24×C6114yes—
2012C22⋊C4C24×C6112yes—
2013C22⋊C4C24×C6112yes—
2014C22⋊C4C24×C6112yes—
2015C22⋊C4C24×C6114yes—
2016C22⋊C4C24×C6114yes—
2017C22⋊C4C24×C6114yes—
2018C22⋊C4C24×C6114yes—
2019C22⋊C4C24×C6114yes—
2020C22⋊C4C24×C6114yes—
2021C22⋊C4C24×C6114yes—
2022C22⋊C4C24×C6114yes—
2023C22⋊C4C24×C6114yes—
2024C22⋊C4C24×C6114yes—
2025C22⋊C4C24×C6114yes—
2026C22⋊C4C24×C6114yes—
2027C22⋊C4C24×C6114yes—
2028C22⋊C4C24×C6114yes—
2029C22⋊C4C24×C6114yes—
2030C22⋊C4C24×C6114yes—
2031C22⋊C4C24×C6114yes—
2032C22⋊C4C24×C6114yes—
2033C22⋊C4C24×C6114yes—
2034C22⋊C4C24×C6112yes—
2035C22⋊C4C24×C6112yes—
2036C22⋊C4C24×C6112yes—
2037C22⋊C4C24×C6112yes—
2038C22⋊C4C24×C6114yes—
2039C22⋊C4C24×C6112yes—
2040C22⋊C4C24×C6114yes—
2041C22⋊C4C24×C6114yes—
2042C22⋊C4C24×C6112yes—
2043C22⋊C4C24×C6112yes—
2044C22⋊C4C24×C6114yes—
2045C22⋊C4C24×C6112yes—
2046C22⋊C4C24×C6114yes—
2047C22⋊C4C24×C6112yes—
2048C22⋊C4C24×C6112yes—
2049C22⋊C4C24×C6112yes—
2050C22⋊C4C24×C6114yes—
2051C22⋊C4C24×C6114yes—
2052C22⋊C4C24×C6114yes—
2053C22⋊C4C24×C6112yes—
2054C22⋊C4C24×C6114yes—
2055C22⋊C4C24×C6112yes—
2056C22⋊C4C24×C6112yes—
2057C22⋊C4C24×C6112yes—
2058C22⋊C4C24×C6112yes—
2059C22⋊C4C24×C6112yes—
2060C22⋊C4C24×C6112yes—
2061C22⋊C4C24×C6114yes—
2062C22⋊C4C24×C6114yes—
2063C22⋊C4C24×C6112yes—
2064C22⋊C4C24×C6114yes—
2065C22⋊C4C24×C6112yes—
2066C22⋊C4C24×C6112yes—
2067C42C24×C6111yescharacteristic
2068C42C24×C6112yes—
2069C42C24×C6112yes—
2070C42C24×C6114yes—
2071C42C24×C6114yes—
2072C42C24×C6114yes—
2073C42C24×C6114yes—
2074C42C24×C6112yes—
2075C42C24×C6112yes—
2076C42C24×C6114yes—
2077C42C24×C6111yescharacteristic
2078C42C24×C6112yes—
2079C42C24×C6112yes—
2080C42C24×C6111yescharacteristic
2081C42C24×C6114yes—
2082C42C24×C6112yes—
2083C42C24×C6111yescharacteristic
2084C42C24×C6114yes—
2085C42C24×C6114yes—
2086C42C24×C6114yes—
2087C42C24×C6114yes—
2088C42C24×C6114yes—
2089C23—42no—
2090C23—42no—
2091C23—42no—
2092C23—44no—
2093C23—44no—
2094C23—44no—
2095C23C25×C6112yes—
2096C23C25×C6112yes—
2097C23C25×C6112yes—
2098C23C25×C6112yes—
2099C23C25×C6114yes—
2100C23C25×C6112yes—
2101C23C25×C6111yescharacteristic
2102Q8—22no—
2103Q8—24no—
2104Q8—44no—
2105Q8—44no—
2106Q8—41no—
2107Q8—44no—
2108Q8—44no—
2109Q8—42no—
2110Q8—44no—
2111Q8—41no—
2112Q8—41no—
2113Q8—42no—
2114Q8—41no—
2115Q8—42no—
2116D4—22no—
2117D4—24no—
2118D4—44no—
2119D4—41no—
2120D4—44no—
2121D4—44no—
2122D4—44no—
2123D4—42no—
2124D4—44no—
2125D4—44no—
2126D4—42no—
2127D4—44no—
2128D4—44no—
2129D4—42no—
2130D4—42no—
2131D4—41no—
2132D4—42no—
2133D4—42no—
2134D4—42no—
2135D4—42no—
2136D4—42no—
2137D4—41no—
2138D4—41no—
2139D4—42no—
2140D4—42no—
2141D4—44no—
2142D4—44no—
2143D4—42no—
2144D4—42no—
2145D4—44no—
2146D4—44no—
2147D4—42no—
2148D4—42no—
2149D4—42no—
2150C2×C4—24no—
2151C2×C4—24no—
2152C2×C4—24no—
2153C2×C4—22no—
2154C2×C4—24no—
2155C2×C4—42no—
2156C2×C4—42no—
2157C2×C4—42no—
2158C2×C4—44no—
2159C2×C4—44no—
2160C2×C4—42no—
2161C2×C4—42no—
2162C2×C4—44no—
2163C2×C4—42no—
2164C2×C4—41no—
2165C2×C4—42no—
2166C2×C4—44no—
2167C2×C4—44no—
2168C2×C4—42no—
2169C2×C4—44no—
2170C2×C4—44no—
2171C2×C4—44no—
2172C2×C4—44no—
2173C2×C4—44no—
2174C2×C4—42no—
2175C2×C4—42no—
2176C2×C4—44no—
2177C2×C4—44no—
2178C2×C4—41no—
2179C2×C4—44no—
2180C2×C4—44no—
2181C2×C4C25×C6112yes—
2182C2×C4C25×C6111yescharacteristic
2183C2×C4C25×C6111yescharacteristic
2184C2×C4C25×C6112yes—
2185C2×C4C25×C6112yes—
2186C2×C4C25×C6112yes—
2187C2×C4C25×C6112yes—
2188C2×C4C25×C6112yes—
2189C2×C4C25×C6114yes—
2190C2×C4C25×C6111yescharacteristic
2191C2×C4C25×C6112yes—
2192C2×C4C25×C6114yes—
2193C2×C4C25×C6112yes—
2194C2×C4C25×C6112yes—
2195C2×C4C25×C6112yes—
2196C2×C4C25×C6111yescharacteristic
2197C2×C4C25×C6114yes—
2198C2×C4C25×C6112yes—
2199C2×C4C25×C6114yes—
2200C2×C4C25×C6114yes—
2201C2×C4C25×C6111yescharacteristic
2202C2×C4C25×C6111yescharacteristic
2203C22—22no—
2204C22—22no—
2205C22—22no—
2206C22—22no—
2207C22—21no—
2208C22—24no—
2209C22—22no—
2210C22—22no—
2211C22—21no—
2212C22—22no—
2213C22—22no—
2214C22—22no—
2215C22—24no—
2216C22—22no—
2217C22—21no—
2218C22—22no—
2219C22—24no—
2220C22—22no—
2221C22—22no—
2222C22—22no—
2223C22—22no—
2224C22—84no—
2225C22—164no—
2226C22C26×C6111yescharacteristic
2227C4—22no—
2228C4—22no—
2229C4—22no—
2230C4—21no—
2231C4—22no—
2232C4—24no—
2233C4—22no—
2234C4—24no—
2235C4—21no—
2236C4—24no—
2237C4—21no—
2238C4—24no—
2239C4—22no—
2240C4—22no—
2241C4—22no—
2242C4—22no—
2243C4—22no—
2244C4—24no—
2245C4—21no—
2246C4—22no—
2247C4—21no—
2248C4C61×#58512yes—
2249C2—42no—
2250C2—42no—
2251C2—42no—
2252C2—42no—
2253C2—44no—
2254C2—42no—
2255C2—41no—
2256C2C2×C61×#58511yescharacteristic
2257C2C61×H(7,𝔽2)11yescharacteristic
2258C2C61×2−1+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×#3567C2semidirect
2. C61×#3566C2semidirect
3. C61×#3564C2semidirect
4. C61×#3563C2semidirect
5. C61×#3562C2semidirect
6. C61×#3561C2semidirect
7. C61×#3560C2semidirect
8. C61×#3559C2semidirect
9. C61×#3552C2semidirect
10. C61×#3551C2semidirect
11. C61×#3551C2semidirect
12. C61×#3548C2semidirect
13. C61×#3547C2semidirect
14. C61×#3545C2semidirect
15. C61×#3544C2semidirect
16. C61×#3542C2semidirect
17. C61×#3541C2semidirect
18. C61×#3536C2semidirect
19. C61×#3531C2semidirect
20. C61×#3529C2semidirect
21. C61×#3524C2semidirect
22. C61×#3521C2semidirect
23. C61×#3518C2semidirect
24. C61×#3514C2semidirect
25. C61×#3512C2semidirect
26. C61×#3511C2semidirect
27. C61×#3495C2semidirect
28. C61×#3494C2semidirect
29. C61×#3493C2semidirect
30. C61×#564C22semidirect
32. C61×#563C22semidirect
33. C61×#563C22semidirect
34. C61×#563C22semidirect
35. C61×#563C22semidirect
36. C61×#563C22semidirect
37. C61×#563C22semidirect
38. C61×#563C22semidirect
39. C61×#563C22semidirect
40. C61×#563C22semidirect
42. C61×#562C22semidirect
43. C61×#562C22semidirect
44. C61×#562C22semidirect
45. C61×#562C22semidirect
46. C61×#562C22semidirect
47. C61×#562C22semidirect
48. C61×#562C22semidirect
49. C61×#562C22semidirect
50. C61×#562C22semidirect
51. C61×#562C22semidirect
55. C61×#560C22semidirect
56. C61×#560C22semidirect
57. C61×#560C22semidirect
58. C61×#559C22semidirect
59. C61×#559C22semidirect
60. Q82×C61C22semidirect
61. C61×#557C22semidirect
63. C61×#556C22semidirect
64. C61×#556C22semidirect
65. C61×#556C22semidirect
66. C61×#556C22semidirect
67. C61×#556C22semidirect
68. C61×#556C22semidirect
69. C61×#556C22semidirect
72. C61×#555C22semidirect
73. C61×#555C22semidirect
74. C61×#555C22semidirect
75. C61×#555C22semidirect
76. C61×#555C22semidirect
77. C61×#555C22semidirect
78. C61×#554C22semidirect
79. C61×#554C22semidirect
80. C61×#554C22semidirect
81. C61×#554C22semidirect
82. C61×#554C22semidirect
83. C61×#554C22semidirect
84. C61×#554C22semidirect
85. C61×#553C22semidirect
86. C61×#553C22semidirect
87. C61×#553C22semidirect
88. C61×#553C22semidirect
89. C61×#553C22semidirect
90. C61×#553C22semidirect
91. C61×#553C22semidirect
92. C61×#553C22semidirect
93. C61×#553C22semidirect
94. C61×#553C22semidirect
95. C61×#553C22semidirect
96. C61×#553C22semidirect
97. C61×#553C22semidirect
98. C61×#553C22semidirect
100. C61×#552C22semidirect
101. C61×#552C22semidirect
102. C61×#552C22semidirect
103. C61×#552C22semidirect
104. C61×#552C22semidirect
105. C61×#552C22semidirect
106. C61×#552C22semidirect
107. C61×#552C22semidirect
108. C61×#552C22semidirect
109. C61×#552C22semidirect
110. C61×#552C22semidirect
111. C61×#552C22semidirect
113. C61×#551C22semidirect
114. C61×#551C22semidirect
115. C61×#551C22semidirect
116. C61×#551C22semidirect
117. C61×#551C22semidirect
118. C61×#551C22semidirect
119. C61×#551C22semidirect
120. C61×#551C22semidirect
121. C61×#550C22semidirect
122. C61×#550C22semidirect
123. D4×Q8×C61C22semidirect
124. D4×Q8×C61C22semidirect
125. D4×Q8×C61C22semidirect
126. C61×#548C22semidirect
127. C61×#548C22semidirect
128. C61×#548C22semidirect
129. C61×#548C22semidirect
130. C61×#548C22semidirect
131. C61×#548C22semidirect
132. C61×#548C22semidirect
134. C61×#547C22semidirect
135. C61×#547C22semidirect
136. C61×#547C22semidirect
137. C61×#547C22semidirect
138. C61×#547C22semidirect
139. C61×#547C22semidirect
143. C61×#546C22semidirect
144. C61×#546C22semidirect
145. C61×#546C22semidirect
146. C61×#546C22semidirect
147. C61×#546C22semidirect
148. C61×#546C22semidirect
150. C61×#544C22semidirect
151. C61×#544C22semidirect
152. C61×#544C22semidirect
153. C61×#544C22semidirect
154. C61×#544C22semidirect
155. C61×#543C22semidirect
157. C61×#542C22semidirect
158. C61×#542C22semidirect
159. C61×#542C22semidirect
160. C61×#542C22semidirect
161. C61×#542C22semidirect
162. C61×#542C22semidirect
163. C61×#542C22semidirect
164. C61×#542C22semidirect
165. C61×#542C22semidirect
166. C61×#542C22semidirect
167. C61×#542C22semidirect
168. C61×#541C22semidirect
169. C61×#541C22semidirect
170. C61×#541C22semidirect
171. C61×#541C22semidirect
172. C61×#541C22semidirect
173. C61×#540C22semidirect
174. C61×#540C22semidirect
175. C61×#540C22semidirect
176. C61×#540C22semidirect
177. C61×#540C22semidirect
178. C61×#540C22semidirect
179. C61×#540C22semidirect
180. C61×#540C22semidirect
182. C61×#539C22semidirect
183. C61×#539C22semidirect
184. C61×#539C22semidirect
185. C61×#539C22semidirect
186. C61×#539C22semidirect
187. C61×#539C22semidirect
188. C61×#539C22semidirect
190. C61×#538C22semidirect
191. C61×#538C22semidirect
192. C61×#538C22semidirect
193. C61×#538C22semidirect
194. C61×#538C22semidirect
195. C61×#538C22semidirect
196. C61×#538C22semidirect
197. C61×#538C22semidirect
198. C61×#538C22semidirect
201. C61×#537C22semidirect
202. C61×#537C22semidirect
203. C61×#537C22semidirect
204. C61×#537C22semidirect
205. C61×#537C22semidirect
206. C61×#537C22semidirect
207. C61×#536C22semidirect
208. C61×#536C22semidirect
209. C61×#536C22semidirect
210. C61×#536C22semidirect
212. C61×#535C22semidirect
214. C61×#533C22semidirect
215. C61×#533C22semidirect
216. C61×#533C22semidirect
217. C61×#533C22semidirect
218. C61×#532C22semidirect
219. C61×#532C22semidirect
220. C61×#532C22semidirect
221. C61×#532C22semidirect
222. C61×#532C22semidirect
223. C2×C4⋊Q8×C61C22semidirect
225. C61×#529C22semidirect
226. C61×#529C22semidirect
227. C61×#529C22semidirect
228. C61×#529C22semidirect
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. C61×#529C22semidirect
239. C61×#529C22semidirect
240. C61×#529C22semidirect
241. C2×#126×C61C22semidirect
242. C2×#125×C61C22semidirect
245. C61×#525C22semidirect
246. C61×#525C22semidirect
247. C61×#525C22semidirect
248. C2×C22⋊Q8×C61C22semidirect
249. C2×#121×C61C22semidirect
250. C61×#520C22semidirect
251. C61×#520C22semidirect
252. C61×#520C22semidirect
253. C61×#520C22semidirect
254. C61×#519C22semidirect
255. C61×#518C22semidirect
256. C4×#41×C61C22semidirect
257. C4×#41×C61C22semidirect
258. C2×#117×C61C22semidirect
1073. #63065C61direct (N × H)
1120. #3567C2×C61semidirect
1121. #3566C2×C61semidirect
1122. #3564C2×C61semidirect
1123. #3563C2×C61semidirect
1124. #3562C2×C61semidirect
1125. #3561C2×C61semidirect
1126. #3560C2×C61semidirect
1127. #3559C2×C61semidirect
1128. #3552C2×C61semidirect
1129. #3551C2×C61semidirect
1130. #3551C2×C61semidirect
1131. #3548C2×C61semidirect
1132. #3547C2×C61semidirect
1133. #3545C2×C61semidirect
1134. #3544C2×C61semidirect
1135. #3542C2×C61semidirect
1136. #3541C2×C61semidirect
1137. #3536C2×C61semidirect
1138. #3531C2×C61semidirect
1139. #3529C2×C61semidirect
1140. #3524C2×C61semidirect
1141. #3521C2×C61semidirect
1142. #3518C2×C61semidirect
1143. #3514C2×C61semidirect
1144. #3512C2×C61semidirect
1145. #3511C2×C61semidirect
1146. #3495C2×C61semidirect
1147. #3494C2×C61semidirect
1148. #3493C2×C61semidirect
1159. #564C22×C61semidirect
1161. #563C22×C61semidirect
1162. #563C22×C61semidirect
1163. #563C22×C61semidirect
1164. #563C22×C61semidirect
1165. #563C22×C61semidirect
1166. #563C22×C61semidirect
1167. #563C22×C61semidirect
1168. #563C22×C61semidirect
1169. #563C22×C61semidirect
1171. #562C22×C61semidirect
1172. #562C22×C61semidirect
1173. #562C22×C61semidirect
1174. #562C22×C61semidirect
1175. #562C22×C61semidirect
1176. #562C22×C61semidirect
1177. #562C22×C61semidirect
1178. #562C22×C61semidirect
1179. #562C22×C61semidirect
1180. #562C22×C61semidirect
1184. #560C22×C61semidirect
1185. #560C22×C61semidirect
1186. #560C22×C61semidirect
1187. #559C22×C61semidirect
1188. #559C22×C61semidirect
1189. Q82C22×C61semidirect
1190. #557C22×C61semidirect
1192. #556C22×C61semidirect
1193. #556C22×C61semidirect
1194. #556C22×C61semidirect
1195. #556C22×C61semidirect
1196. #556C22×C61semidirect
1197. #556C22×C61semidirect
1198. #556C22×C61semidirect
1201. #555C22×C61semidirect
1202. #555C22×C61semidirect
1203. #555C22×C61semidirect
1204. #555C22×C61semidirect
1205. #555C22×C61semidirect
1206. #555C22×C61semidirect
1207. #554C22×C61semidirect
1208. #554C22×C61semidirect
1209. #554C22×C61semidirect
1210. #554C22×C61semidirect
1211. #554C22×C61semidirect
1212. #554C22×C61semidirect
1213. #554C22×C61semidirect
1214. #553C22×C61semidirect
1215. #553C22×C61semidirect
1216. #553C22×C61semidirect
1217. #553C22×C61semidirect
1218. #553C22×C61semidirect
1219. #553C22×C61semidirect
1220. #553C22×C61semidirect
1221. #553C22×C61semidirect
1222. #553C22×C61semidirect
1223. #553C22×C61semidirect
1224. #553C22×C61semidirect
1225. #553C22×C61semidirect
1226. #553C22×C61semidirect
1227. #553C22×C61semidirect
1229. #552C22×C61semidirect
1230. #552C22×C61semidirect
1231. #552C22×C61semidirect
1232. #552C22×C61semidirect
1233. #552C22×C61semidirect
1234. #552C22×C61semidirect
1235. #552C22×C61semidirect
1236. #552C22×C61semidirect
1237. #552C22×C61semidirect
1238. #552C22×C61semidirect
1239. #552C22×C61semidirect
1240. #552C22×C61semidirect
1242. #551C22×C61semidirect
1243. #551C22×C61semidirect
1244. #551C22×C61semidirect
1245. #551C22×C61semidirect
1246. #551C22×C61semidirect
1247. #551C22×C61semidirect
1248. #551C22×C61semidirect
1249. #551C22×C61semidirect
1250. #550C22×C61semidirect
1251. #550C22×C61semidirect
1252. D4×Q8C22×C61semidirect
1253. D4×Q8C22×C61semidirect
1254. D4×Q8C22×C61semidirect
1255. #548C22×C61semidirect
1256. #548C22×C61semidirect
1257. #548C22×C61semidirect
1258. #548C22×C61semidirect
1259. #548C22×C61semidirect
1260. #548C22×C61semidirect
1261. #548C22×C61semidirect
1263. #547C22×C61semidirect
1264. #547C22×C61semidirect
1265. #547C22×C61semidirect
1266. #547C22×C61semidirect
1267. #547C22×C61semidirect
1268. #547C22×C61semidirect
1272. #546C22×C61semidirect
1273. #546C22×C61semidirect
1274. #546C22×C61semidirect
1275. #546C22×C61semidirect
1276. #546C22×C61semidirect
1277. #546C22×C61semidirect
1279. #544C22×C61semidirect
1280. #544C22×C61semidirect
1281. #544C22×C61semidirect
1282. #544C22×C61semidirect
1283. #544C22×C61semidirect
1284. #543C22×C61semidirect
1286. #542C22×C61semidirect
1287. #542C22×C61semidirect
1288. #542C22×C61semidirect
1289. #542C22×C61semidirect
1290. #542C22×C61semidirect
1291. #542C22×C61semidirect
1292. #542C22×C61semidirect
1293. #542C22×C61semidirect
1294. #542C22×C61semidirect
1295. #542C22×C61semidirect
1296. #542C22×C61semidirect
1297. #541C22×C61semidirect
1298. #541C22×C61semidirect
1299. #541C22×C61semidirect
1300. #541C22×C61semidirect
1301. #541C22×C61semidirect
1302. #540C22×C61semidirect
1303. #540C22×C61semidirect
1304. #540C22×C61semidirect
1305. #540C22×C61semidirect
1306. #540C22×C61semidirect
1307. #540C22×C61semidirect
1308. #540C22×C61semidirect
1309. #540C22×C61semidirect
1311. #539C22×C61semidirect
1312. #539C22×C61semidirect
1313. #539C22×C61semidirect
1314. #539C22×C61semidirect
1315. #539C22×C61semidirect
1316. #539C22×C61semidirect
1317. #539C22×C61semidirect
1319. #538C22×C61semidirect
1320. #538C22×C61semidirect
1321. #538C22×C61semidirect
1322. #538C22×C61semidirect
1323. #538C22×C61semidirect
1324. #538C22×C61semidirect
1325. #538C22×C61semidirect
1326. #538C22×C61semidirect
1327. #538C22×C61semidirect
1330. #537C22×C61semidirect
1331. #537C22×C61semidirect
1332. #537C22×C61semidirect
1333. #537C22×C61semidirect
1334. #537C22×C61semidirect
1335. #537C22×C61semidirect
1336. #536C22×C61semidirect
1337. #536C22×C61semidirect
1338. #536C22×C61semidirect
1339. #536C22×C61semidirect
1341. #535C22×C61semidirect
1343. #533C22×C61semidirect
1344. #533C22×C61semidirect
1345. #533C22×C61semidirect
1346. #533C22×C61semidirect
1347. #532C22×C61semidirect
1348. #532C22×C61semidirect
1349. #532C22×C61semidirect
1350. #532C22×C61semidirect
1351. #532C22×C61semidirect
1352. C2×C4⋊Q8C22×C61semidirect
1354. #529C22×C61semidirect
1355. #529C22×C61semidirect
1356. #529C22×C61semidirect
1357. #529C22×C61semidirect
1358. #529C22×C61semidirect
1359. #529C22×C61semidirect
1360. #529C22×C61semidirect
1361. #529C22×C61semidirect
1362. #529C22×C61semidirect
1363. #529C22×C61semidirect
1364. #529C22×C61semidirect
1365. #529C22×C61semidirect
1366. #529C22×C61semidirect
1367. #529C22×C61semidirect
1368. #529C22×C61semidirect
1369. #529C22×C61semidirect
1370. C2×#126C22×C61semidirect
1371. C2×#125C22×C61semidirect
1374. #525C22×C61semidirect
1375. #525C22×C61semidirect
1376. #525C22×C61semidirect
1377. C2×C22⋊Q8C22×C61semidirect
1378. C2×#121C22×C61semidirect
1379. #520C22×C61semidirect
1380. #520C22×C61semidirect
1381. #520C22×C61semidirect
1382. #520C22×C61semidirect
1383. #519C22×C61semidirect
1384. #518C22×C61semidirect
1385. C4×#41C22×C61semidirect
1386. C4×#41C22×C61semidirect
1387. C2×#117C22×C61semidirect
1388. C61#63065direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#35672
C61×#35662
C61×#35642
C61×#35632
C61×#35622
C61×#35612
C61×#35602
C61×#35592
C61×#35522
C61×#35512
C61×#35482
C61×#35472
C61×#35452
C61×#35442
C61×#35422
C61×#35412
C61×#35362
C61×#35312
C61×#35292
C61×#35242
C61×#35212
C61×#35182
C61×#35142
C61×#35122
C61×#35112
C61×#34952
C61×#34942
C61×#34932
#6306561