Finite Group Databasebeta

← C61×#62965 #29566398

Subgroups — C61×#62965 #29566398

Order 15616.

6682 conjugacy classes of subgroups.

The subgroup lattice has 2294 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3566C214yesmaximal, complemented
2C61×#3566C214yesmaximal, complemented
3C61×#3562C212yesmaximal, complemented
4C61×#3561C211yesmaximal, characteristic, complemented
5C61×#3558C211yesmaximal, characteristic, complemented
6C61×#3558C212yesmaximal, complemented
7C61×#3557C212yesmaximal, complemented
8C61×#3554C212yesmaximal, complemented
9C61×#3545C214yesmaximal, complemented
10C61×#3543C212yesmaximal, complemented
11C61×#3540C214yesmaximal, complemented
12C61×#3535C212yesmaximal, complemented
13C61×#3534C212yesmaximal, complemented
14C61×#3533C214yesmaximal, complemented
15C61×#3524C212yesmaximal, complemented
16C61×#3520C211yesmaximal, characteristic, complemented
17C61×#3519C211yesmaximal, characteristic, complemented
18C61×#3516C212yesmaximal, complemented
19C61×#3514C212yesmaximal, complemented
20C61×#3513C212yesmaximal, complemented
21C61×#3513C214yesmaximal, complemented
22C61×#3510C212yesmaximal, complemented
23C61×#3507C211yesmaximal, characteristic, complemented
24C61×#3506C212yesmaximal, complemented
25C61×#3505C212yesmaximal, complemented
26C61×#3481C212yesmaximal, complemented
27C2×C61×#559C211yesmaximal, characteristic, complemented
28C61×#3461C211yesmaximal, characteristic, complemented
29C61×#3459C212yesmaximal, complemented
30C61×#563C2214yescomplemented
31C61×#563C2214yescomplemented
32C61×#563C2212yescomplemented
33C61×#562C2214yescomplemented
34C61×#562C2214yescomplemented
35C61×#562C2214yescomplemented
36C61×#562C2212yescomplemented
37C61×#562C2214yescomplemented
38C61×#562C2212yescomplemented
39C61×H(3,𝔽4)C2214yescomplemented
40C61×H(3,𝔽4)C2212yescomplemented
41C61×#560C2214yescomplemented
42C61×#560C2214yescomplemented
43C61×#560C2214yescomplemented
44C61×#559C2212yescomplemented
45C61×#559C2212yescomplemented
46C61×#559C2212yescomplemented
47C61×#559C2212yescomplemented
48C61×#559C2212yescomplemented
49C61×#559C2212yescomplemented
50C61×#559C2214yescomplemented
51C61×#559C2214yescomplemented
52C61×#559C2212yescomplemented
53C61×#559C2212yescomplemented
54C61×#559C2212yescomplemented
55C61×#559C2214yescomplemented
56C61×#557C2212yescomplemented
57C61×#557C2212yescomplemented
58C61×#556C2212yescomplemented
59C61×#556C2212yescomplemented
60C61×#556C2212yescomplemented
61C61×#556C2214yescomplemented
62C61×#556C2214yescomplemented
63C61×#556C2212yescomplemented
64C61×#556C2211yescharacteristic, complemented
65C61×#555C2214yescomplemented
66C61×#555C2214yescomplemented
67C61×#555C2214yescomplemented
68C61×#555C2211yescharacteristic, complemented
69C61×#554C2212yescomplemented
70C61×#554C2212yescomplemented
71C61×#554C2211yescharacteristic, complemented
72C61×#554C2212yescomplemented
73C61×#554C2214yescomplemented
74C61×#553C2214yescomplemented
75C61×#553C2212yescomplemented
76C61×#553C2214yescomplemented
77C61×#553C2214yescomplemented
78C61×#553C2214yescomplemented
79C61×#553C2214yescomplemented
80C61×#553C2212yescomplemented
81C61×#553C2212yescomplemented
82C61×#553C2214yescomplemented
83C61×#553C2214yescomplemented
84C61×#552C2214yescomplemented
85C61×#552C2214yescomplemented
86C61×#552C2212yescomplemented
87C61×#552C2214yescomplemented
88C61×#552C2214yescomplemented
89C61×#552C2214yescomplemented
90C61×#552C2212yescomplemented
91C61×#551C2214yescomplemented
92C61×#551C2214yescomplemented
93C61×#551C2214yescomplemented
94C61×#551C2214yescomplemented
95C61×#551C2214yescomplemented
96C61×#551C2214yescomplemented
97C61×#551C2214yescomplemented
98C61×#551C2214yescomplemented
99C61×#551C2214yescomplemented
100C61×#551C2214yescomplemented
101C61×#551C2214yescomplemented
102C61×#551C2214yescomplemented
103C61×#551C2214yescomplemented
104C61×#550C2212yescomplemented
105C61×#550C2212yescomplemented
106C61×#550C2211yescharacteristic, complemented
107D4×Q8×C61C2211yescharacteristic, complemented
108D4×Q8×C61C2212yescomplemented
109C61×#548C2214yescomplemented
110C61×#548C2212yescomplemented
111C61×#548C2212yescomplemented
112C61×#548C2212yescomplemented
113C61×#548C2212yescomplemented
114C61×#548C2212yescomplemented
115C61×#547C2214yescomplemented
116C61×#547C2211yescharacteristic, complemented
117C61×#547C2214yescomplemented
118C61×#547C2211yescharacteristic, complemented
119C61×#546C2212yescomplemented
120C61×#546C2214yescomplemented
121C61×#546C2212yescomplemented
122C61×#546C2214yescomplemented
123C61×#546C2214yescomplemented
124C61×#546C2214yescomplemented
125C61×#546C2214yescomplemented
126C61×#546C2212yescomplemented
127C61×#546C2212yescomplemented
128C61×#546C2214yescomplemented
129C61×#546C2212yescomplemented
130C61×#546C2214yescomplemented
131C61×#546C2214yescomplemented
132C61×#546C2212yescomplemented
133D42×C61C2212yescomplemented
134D42×C61C2212yescomplemented
135D42×C61C2214yescomplemented
136D42×C61C2212yescomplemented
137D42×C61C2211yescharacteristic, complemented
138C61×#544C2211yescharacteristic, complemented
139C61×#543C2212yescomplemented
140C61×#542C2214yescomplemented
141C61×#542C2214yescomplemented
142C61×#542C2214yescomplemented
143C61×#542C2214yescomplemented
144C61×#542C2212yescomplemented
145C61×#542C2212yescomplemented
146C61×#542C2212yescomplemented
147C61×#542C2212yescomplemented
148C61×#542C2214yescomplemented
149C61×#542C2214yescomplemented
150C61×#542C2214yescomplemented
151C61×#542C2212yescomplemented
152C61×#542C2212yescomplemented
153C61×#542C2214yescomplemented
154C61×#542C2214yescomplemented
155C61×#541C2212yescomplemented
156C61×#541C2212yescomplemented
157C61×#541C2212yescomplemented
158C61×#541C2214yescomplemented
159C61×#540C2212yes—
160C61×#540C2212yescomplemented
161C61×#540C2214yescomplemented
162C61×#540C2212yescomplemented
163C61×#540C2214yescomplemented
164C61×#540C2214yescomplemented
165C61×#539C2214yescomplemented
166C61×#539C2214yescomplemented
167C61×#539C2214yescomplemented
168C61×#539C2214yescomplemented
169C61×#539C2214yescomplemented
170C61×#539C2214yescomplemented
171C61×#539C2214yescomplemented
172C61×#539C2211yescharacteristic, complemented
173C61×#539C2212yescomplemented
174C61×#539C2211yescharacteristic, complemented
175C61×#539C2212yescomplemented
176C61×#539C2212yescomplemented
177C61×#538C2214yescomplemented
178C61×#538C2214yescomplemented
179C61×#538C2214yescomplemented
180C61×#538C2214yescomplemented
181C61×#538C2214yescomplemented
182C61×#538C2214yescomplemented
183C61×#538C2214yescomplemented
184C61×#538C2212yescomplemented
185C61×#538C2212yescomplemented
186C61×#538C2214yescomplemented
187C61×#538C2214yescomplemented
188C61×#538C2214yescomplemented
189C61×#538C2214yescomplemented
190C61×#538C2214yescomplemented
191C61×#537C2211yescharacteristic
192C61×#536C2212yescomplemented
193C61×#536C2212yescomplemented
194C61×#536C2214yescomplemented
195C61×#536C2212yescomplemented
196C61×#535C2212yes—
197C61×#535C2212yescomplemented
198C61×#535C2214yescomplemented
199C61×#535C2212yescomplemented
200C61×#534C2214yescomplemented
201C61×#534C2214yescomplemented
202C61×#534C2212yescomplemented
203C61×#534C2214yescomplemented
204C61×#533C2212yescomplemented
205C61×#533C2212yescomplemented
206C61×#533C2211yescharacteristic, complemented
207C61×#532C2211yescharacteristic
208C61×#532C2212yescomplemented
209C61×#532C2212yescomplemented
210C2×#127×C61C2211yescharacteristic
211C61×#529C2212yescomplemented
212C61×#529C2212yescomplemented
213C61×#529C2214yescomplemented
214C61×#529C2214yescomplemented
215C61×#529C2212yescomplemented
216C61×#529C2212yescomplemented
217C61×#529C2212yescomplemented
218C61×#529C2211yescharacteristic, complemented
219C61×#529C2212yescomplemented
220C61×#529C2211yescharacteristic, complemented
221C61×#529C2212yescomplemented
222C61×#529C2214yescomplemented
223C61×#529C2214yescomplemented
224C61×#529C2214yescomplemented
225C61×#529C2214yescomplemented
226C61×#529C2214yescomplemented
227C61×#529C2212yescomplemented
228C2×#124×C61C2212yescomplemented
229C2×#124×C61C2211yescharacteristic, complemented
230C2×#124×C61C2212yescomplemented
231C2×#124×C61C2211yescharacteristic, complemented
232C61×#525C2214yescomplemented
233C61×#525C2214yescomplemented
234C61×#525C2212yescomplemented
235C61×#525C2212yescomplemented
236C61×#525C2214yescomplemented
237C61×#525C2214yescomplemented
238C61×#525C2214yescomplemented
239C2×#123×C61C2212yescomplemented
240C2×#123×C61C2212yescomplemented
241C2×#123×C61C2214yescomplemented
242C2×C22⋊Q8×C61C2212yescomplemented
243C2×#121×C61C2212yescomplemented
244C61×#520C2212yescomplemented
245C61×#520C2212yescomplemented
246C61×#520C2212yescomplemented
247C61×#519C2212yescomplemented
248C61×#518C2214yescomplemented
249C61×#518C2212yescomplemented
250C4×#41×C61C2212yescomplemented
251C4×#41×C61C2212yescomplemented
252C2×C4×Q8×C61C2211yescharacteristic, complemented
253C2×C4×Q8×C61C2211yescharacteristic, complemented
254C2×C4×D4×C61C2212yescomplemented
255C2×C4×D4×C61C2214yescomplemented
256C2×C4×D4×C61C2211yescharacteristic, complemented
257C2×C4×D4×C61C2211yescharacteristic, complemented
258C2×C4×D4×C61C2212yescomplemented
259C2×#41×C61C2312yes—
260C2×#41×C61C2312yes—
261C2×#41×C61C2312yes—
262C2×#41×C61C2312yes—
263C2×#41×C61C2312yes—
264C2×#41×C61C2314yes—
265C2×#41×C61C2314yes—
266C2×#41×C61C2312yes—
267C2×#41×C61C2312yes—
268C22×Q8×C61C2311yescharacteristic
269C22×Q8×C61C2312yes—
270C22×Q8×C61C2311yescharacteristic
271C22×Q8×C61C2312yes—
272C22×D4×C61C2312yes—
273C22×D4×C61C2311yescharacteristic
274C22×D4×C61C2311yescharacteristic
275C22×D4×C61C2314yes—
276C22×D4×C61C2314yes—
277C22×D4×C61C2312yes—
278C22×D4×C61C2312yes—
279C22×D4×C61C2312yes—
280C22×D4×C61C2312yes—
281C22×D4×C61C2314yes—
282C23×C4×C61C2312yes—
283C23×C4×C61C2312yes—
284C23×C4×C61C2314yes—
285C4⋊Q8×C61C2311yescharacteristic
286C4⋊Q8×C61C2312yes—
287C4⋊Q8×C61C2312yes—
288C4⋊Q8×C61C2312yes—
289C4⋊Q8×C61C2311yescharacteristic
290C4⋊Q8×C61C2312yes—
291C4⋊Q8×C61C2312yes—
292C4⋊Q8×C61C2311yescharacteristic
293C4⋊Q8×C61C2312yes—
294C4⋊Q8×C61C2314yes—
295C4⋊Q8×C61C2314yes—
296C4⋊Q8×C61C2314yes—
297#127×C61C2312yes—
298#127×C61C2312yes—
299#127×C61C2314yes—
300#127×C61C2311yescharacteristic
301#127×C61C2312yes—
302#127×C61C2312yes—
303#127×C61C2314yes—
304#126×C61C2312yes—
305#126×C61C2314yes—
306#126×C61C2314yes—
307#126×C61C2312yes—
308#126×C61C2312yes—
309#126×C61C2314yes—
310#126×C61C2312yes—
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×C61C2314yes—
322#126×C61C2314yes—
323#126×C61C2314yes—
324#126×C61C2314yes—
325#126×C61C2314yes—
326#126×C61C2314yes—
327#126×C61C2312yes—
328#126×C61C2312yes—
329#126×C61C2314yes—
330#126×C61C2314yes—
331#126×C61C2314yes—
332#126×C61C2312yes—
333#126×C61C2314yes—
334#126×C61C2312yes—
335#125×C61C2312yes—
336#125×C61C2312yes—
337#125×C61C2312yes—
338#125×C61C2312yes—
339#125×C61C2312yes—
340#125×C61C2312yes—
341#125×C61C2314yes—
342#125×C61C2314yes—
343#125×C61C2314yes—
344#125×C61C2314yes—
345#125×C61C2314yes—
346#125×C61C2314yes—
347#125×C61C2314yes—
348#125×C61C2312yes—
349#125×C61C2312yes—
350#125×C61C2312yes—
351#125×C61C2311yescharacteristic
352#125×C61C2314yes—
353#125×C61C2311yescharacteristic
354#125×C61C2312yes—
355#125×C61C2312yes—
356#124×C61C2312yes—
357#124×C61C2314yes—
358#124×C61C2312yes—
359#124×C61C2312yes—
360#124×C61C2312yes—
361#124×C61C2312yes—
362#124×C61C2312yes—
363#124×C61C2312yes—
364#124×C61C2314yes—
365#124×C61C2312yes—
366#124×C61C2312yes—
367#124×C61C2312yes—
368#124×C61C2314yes—
369#124×C61C2314yes—
370#124×C61C2312yes—
371#124×C61C2312yes—
372#124×C61C2314yes—
373#124×C61C2314yes—
374#124×C61C2314yes—
375#124×C61C2314yes—
376#124×C61C2312yes—
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×C61C2314yes—
388#124×C61C2314yes—
389#124×C61C2311yescharacteristic
390#124×C61C2314yes—
391#124×C61C2311yescharacteristic
392#124×C61C2314yes—
393#124×C61C2312yes—
394#124×C61C2312yes—
395#123×C61C2312yes—
396#123×C61C2312yes—
397#123×C61C2314yes—
398#123×C61C2314yes—
399#123×C61C2314yes—
400#123×C61C2314yes—
401#123×C61C2314yes—
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×C61C2314yes—
411#123×C61C2314yes—
412#123×C61C2314yes—
413#123×C61C2312yes—
414#123×C61C2312yes—
415#123×C61C2314yes—
416#123×C61C2314yes—
417#123×C61C2314yes—
418#123×C61C2312yes—
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×C61C2314yes—
429#123×C61C2314yes—
430#123×C61C2314yes—
431#123×C61C2314yes—
432#123×C61C2314yes—
433#123×C61C2312yes—
434#123×C61C2314yes—
435#123×C61C2314yes—
436#123×C61C2314yes—
437#123×C61C2312yes—
438#123×C61C2312yes—
439#123×C61C2314yes—
440#123×C61C2314yes—
441#123×C61C2314yes—
442#123×C61C2314yes—
443#123×C61C2314yes—
444#123×C61C2314yes—
445#123×C61C2314yes—
446#123×C61C2314yes—
447#123×C61C2314yes—
448C22⋊Q8×C61C2312yes—
449C22⋊Q8×C61C2312yes—
450C22⋊Q8×C61C2312yes—
451C22⋊Q8×C61C2312yes—
452C22⋊Q8×C61C2312yes—
453C22⋊Q8×C61C2312yes—
454C22⋊Q8×C61C2312yes—
455C22⋊Q8×C61C2312yes—
456C22⋊Q8×C61C2312yes—
457C22⋊Q8×C61C2312yes—
458C22⋊Q8×C61C2312yes—
459C22⋊Q8×C61C2314yes—
460C22⋊Q8×C61C2314yes—
461C22⋊Q8×C61C2314yes—
462C22⋊Q8×C61C2314yes—
463C22⋊Q8×C61C2314yes—
464C22⋊Q8×C61C2314yes—
465C22⋊Q8×C61C2312yes—
466C22⋊Q8×C61C2314yes—
467C22⋊Q8×C61C2314yes—
468C22⋊Q8×C61C2311yescharacteristic
469C22⋊Q8×C61C2314yes—
470C22⋊Q8×C61C2314yes—
471C22⋊Q8×C61C2314yes—
472C22⋊Q8×C61C2314yes—
473C22⋊Q8×C61C2314yes—
474C22⋊Q8×C61C2314yes—
475C22⋊Q8×C61C2314yes—
476C22⋊Q8×C61C2312yes—
477C22⋊Q8×C61C2312yes—
478C22⋊Q8×C61C2314yes—
479C22⋊Q8×C61C2312yes—
480C22⋊Q8×C61C2314yes—
481C22⋊Q8×C61C2314yes—
482C22⋊Q8×C61C2314yes—
483C22⋊Q8×C61C2314yes—
484C22⋊Q8×C61C2314yes—
485C22⋊Q8×C61C2314yes—
486C22⋊Q8×C61C2311yescharacteristic
487C22⋊Q8×C61C2314yes—
488C22⋊Q8×C61C2312yes—
489C22⋊Q8×C61C2312yes—
490C22⋊Q8×C61C2312yes—
491C22⋊Q8×C61C2312yes—
492C22⋊Q8×C61C2314yes—
493C22⋊Q8×C61C2314yes—
494C22⋊Q8×C61C2312yes—
495C22⋊Q8×C61C2314yes—
496#121×C61C2312yes—
497#121×C61C2312yes—
498#121×C61C2314yes—
499#121×C61C2314yes—
500#121×C61C2314yes—
501#121×C61C2312yes—
502#121×C61C2312yes—
503#121×C61C2311yescharacteristic
504#121×C61C2312yes—
505#121×C61C2314yes—
506#121×C61C2314yes—
507#121×C61C2314yes—
508#121×C61C2314yes—
509#121×C61C2314yes—
510#121×C61C2314yes—
511#121×C61C2314yes—
512#121×C61C2314yes—
513#121×C61C2314yes—
514#121×C61C2314yes—
515#121×C61C2314yes—
516#121×C61C2314yes—
517#121×C61C2314yes—
518#121×C61C2314yes—
519#121×C61C2314yes—
520#121×C61C2314yes—
521#121×C61C2314yes—
522#121×C61C2311yescharacteristic
523#121×C61C2312yes—
524#121×C61C2312yes—
525#121×C61C2314yes—
526#121×C61C2314yes—
527#121×C61C2312yes—
528#121×C61C2314yes—
529#121×C61C2314yes—
530#121×C61C2312yes—
531#121×C61C2312yes—
532#121×C61C2314yes—
533#121×C61C2314yes—
534#121×C61C2314yes—
535#121×C61C2314yes—
536#121×C61C2314yes—
537#121×C61C2314yes—
538#121×C61C2314yes—
539#121×C61C2314yes—
540#121×C61C2314yes—
541#121×C61C2312yes—
542#121×C61C2312yes—
543#121×C61C2314yes—
544#121×C61C2312yes—
545#121×C61C2312yes—
546#121×C61C2314yes—
547#120×C61C2314yes—
548#120×C61C2314yes—
549#120×C61C2314yes—
550#120×C61C2314yes—
551#120×C61C2314yes—
552#120×C61C2314yes—
553#120×C61C2314yes—
554#120×C61C2314yes—
555#120×C61C2314yes—
556#120×C61C2314yes—
557#120×C61C2314yes—
558#120×C61C2314yes—
559#120×C61C2314yes—
560#120×C61C2314yes—
561#120×C61C2314yes—
562#120×C61C2314yes—
563#120×C61C2314yes—
564#120×C61C2314yes—
565C4×Q8×C61C2311yescharacteristic
566C4×Q8×C61C2311yescharacteristic
567C4×Q8×C61C2312yes—
568C4×Q8×C61C2312yes—
569C4×Q8×C61C2312yes—
570C4×Q8×C61C2312yes—
571C4×Q8×C61C2312yes—
572C4×Q8×C61C2312yes—
573C4×Q8×C61C2312yes—
574C4×Q8×C61C2314yes—
575C4×Q8×C61C2312yes—
576C4×Q8×C61C2312yes—
577C4×Q8×C61C2314yes—
578C4×Q8×C61C2312yes—
579C4×Q8×C61C2312yes—
580C4×Q8×C61C2314yes—
581C4×Q8×C61C2312yes—
582C4×Q8×C61C2312yes—
583C4×Q8×C61C2314yes—
584C4×Q8×C61C2314yes—
585C4×Q8×C61C2312yes—
586C4×Q8×C61C2312yes—
587C4×Q8×C61C2312yes—
588C4×D4×C61C2312yes—
589C4×D4×C61C2312yes—
590C4×D4×C61C2314yes—
591C4×D4×C61C2314yes—
592C4×D4×C61C2314yes—
593C4×D4×C61C2312yes—
594C4×D4×C61C2312yes—
595C4×D4×C61C2312yes—
596C4×D4×C61C2312yes—
597C4×D4×C61C2314yes—
598C4×D4×C61C2314yes—
599C4×D4×C61C2312yes—
600C4×D4×C61C2314yes—
601C4×D4×C61C2314yes—
602C4×D4×C61C2314yes—
603C4×D4×C61C2314yes—
604C4×D4×C61C2314yes—
605C4×D4×C61C2314yes—
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×C61C2314yes—
620C4×D4×C61C2314yes—
621C4×D4×C61C2314yes—
622C4×D4×C61C2312yes—
623C4×D4×C61C2312yes—
624C4×D4×C61C2311yescharacteristic
625C4×D4×C61C2312yes—
626C4×D4×C61C2314yes—
627C4×D4×C61C2312yes—
628C4×D4×C61C2314yes—
629C4×D4×C61C2311yescharacteristic
630C4×D4×C61C2312yes—
631C4×D4×C61C2314yes—
632C4×D4×C61C2312yes—
633C4×D4×C61C2312yes—
634C4×D4×C61C2311yescharacteristic
635C4×D4×C61C2312yes—
636C4×D4×C61C2311yescharacteristic
637C4×D4×C61C2312yes—
638C4×D4×C61C2314yes—
639C4×D4×C61C2314yes—
640C4×D4×C61C2311yescharacteristic
641C4×D4×C61C2312yes—
642C4×D4×C61C2311yescharacteristic
643C4×D4×C61C2314yes—
644C4×D4×C61C2314yes—
645C4×D4×C61C2314yes—
646C4×D4×C61C2314yes—
647C4×D4×C61C2314yes—
648C4×D4×C61C2314yes—
649C4×D4×C61C2314yes—
650C4×D4×C61C2312yes—
651#117×C61C2312yes—
652#117×C61C2312yes—
653#117×C61C2312yes—
654#117×C61C2312yes—
655#117×C61C2312yes—
656#117×C61C2314yes—
657#117×C61C2314yes—
658#117×C61C2312yes—
659#117×C61C2314yes—
660#117×C61C2314yes—
661#117×C61C2312yes—
662#117×C61C2312yes—
663#117×C61C2314yes—
664#117×C61C2314yes—
665#117×C61C2314yes—
666#117×C61C2314yes—
667#117×C61C2314yes—
668#117×C61C2314yes—
669#117×C61C2314yes—
670#117×C61C2312yes—
671#117×C61C2314yes—
672#117×C61C2314yes—
673#117×C61C2314yes—
674#117×C61C2314yes—
675#117×C61C2312yes—
676#117×C61C2312yes—
677C2×C4⋊C4×C61C2311yescharacteristic
678C2×C4⋊C4×C61C2311yescharacteristic
679C2×C4⋊C4×C61C2312yes—
680C2×C4⋊C4×C61C2314yes—
681C2×C4⋊C4×C61C2312yes—
682C2×C4⋊C4×C61C2311yescharacteristic
683C2×C4⋊C4×C61C2314yes—
684C2×C4⋊C4×C61C2314yes—
685C2×C4⋊C4×C61C2314yes—
686C2×C4⋊C4×C61C2312yes—
687C2×C4⋊C4×C61C2311yescharacteristic
688C2×C4⋊C4×C61C2312yes—
689C2×C22⋊C4×C61C2312yes—
690C2×C22⋊C4×C61C2314yes—
691C2×C22⋊C4×C61C2314yes—
692C2×C22⋊C4×C61C2314yes—
693C2×C22⋊C4×C61C2314yes—
694C2×C22⋊C4×C61C2314yes—
695C2×C22⋊C4×C61C2314yes—
696C2×C22⋊C4×C61C2312yes—
697C2×C22⋊C4×C61C2314yes—
698C2×C22⋊C4×C61C2314yes—
699C2×C22⋊C4×C61C2314yes—
700C2×C22⋊C4×C61C2314yes—
701C2×C22⋊C4×C61C2312yes—
702C2×C22⋊C4×C61C2312yes—
703C2×C22⋊C4×C61C2312yes—
704C2×C22⋊C4×C61C2312yes—
705C2×C42×C61C2311yescharacteristic
706C2×C42×C61C2311yescharacteristic
707C2×C42×C61C2312yes—
708C2×C42×C61C2312yes—
709C2×C42×C61C2311yescharacteristic
710C2×C42×C61C2312yes—
711C2×C42×C61C2314yes—
712C24×C61C2412yes—
713C24×C61C2412yes—
714C24×C61C2414yes—
715C24×C61C2414yes—
716#41×C61—44no—
717#41×C61—44no—
718#41×C61—44no—
719#41×C61—44no—
720#41×C61—44no—
721#41×C61—82no—
722#41×C61—82no—
723#41×C61—84no—
724#41×C61—84no—
725C2×Q8×C61—42no—
726C2×Q8×C61—42no—
727C2×Q8×C61—44no—
728C2×Q8×C61—82no—
729C2×Q8×C61C2412yes—
730C2×Q8×C61C2412yes—
731C2×Q8×C61C2412yes—
732C2×Q8×C61C2414yes—
733C2×Q8×C61C2412yes—
734C2×Q8×C61C2412yes—
735C2×Q8×C61C2412yes—
736C2×Q8×C61C2412yes—
737C2×Q8×C61C2412yes—
738C2×Q8×C61C2411yescharacteristic
739C2×Q8×C61C2414yes—
740C2×Q8×C61C2411yescharacteristic
741C2×Q8×C61C2412yes—
742C2×D4×C61—42no—
743C2×D4×C61—42no—
744C2×D4×C61—44no—
745C2×D4×C61—44no—
746C2×D4×C61—44no—
747C2×D4×C61—48no—
748C2×D4×C61—48no—
749C2×D4×C61—82no—
750C2×D4×C61—82no—
751C2×D4×C61—84no—
752C2×D4×C61C2412yes—
753C2×D4×C61C2414yes—
754C2×D4×C61C2412yes—
755C2×D4×C61C2411yescharacteristic
756C2×D4×C61C2412yes—
757C2×D4×C61C2412yes—
758C2×D4×C61C2411yescharacteristic
759C2×D4×C61C2412yes—
760C2×D4×C61C2414yes—
761C2×D4×C61C2414yes—
762C2×D4×C61C2412yes—
763C2×D4×C61C2414yes—
764C2×D4×C61C2414yes—
765C2×D4×C61C2414yes—
766C2×D4×C61C2414yes—
767C2×D4×C61C2414yes—
768C2×D4×C61C2414yes—
769C2×D4×C61C2412yes—
770C2×D4×C61C2412yes—
771C2×D4×C61C2414yes—
772C2×D4×C61C2414yes—
773C2×D4×C61C2414yes—
774C2×D4×C61C2411yescharacteristic
775C2×D4×C61C2414yes—
776C2×D4×C61C2414yes—
777C2×D4×C61C2414yes—
778C2×D4×C61C2414yes—
779C2×D4×C61C2414yes—
780C2×D4×C61C2412yes—
781C2×D4×C61C2414yes—
782C2×D4×C61C2414yes—
783C2×D4×C61C2411yescharacteristic
784C2×D4×C61C2412yes—
785C22×C4×C61—82no—
786C22×C4×C61—82no—
787C22×C4×C61—84no—
788C22×C4×C61C2411yescharacteristic
789C22×C4×C61C2411yescharacteristic
790C22×C4×C61C2411yescharacteristic
791C22×C4×C61C2411yescharacteristic
792C22×C4×C61C2412yes—
793C22×C4×C61C2412yes—
794C22×C4×C61C2412yes—
795C22×C4×C61C2411yescharacteristic
796C22×C4×C61C2412yes—
797C22×C4×C61C2411yescharacteristic
798C22×C4×C61C2412yes—
799C22×C4×C61C2412yes—
800C22×C4×C61C2414yes—
801C22×C4×C61C2412yes—
802C22×C4×C61C2411yescharacteristic
803C22×C4×C61C2414yes—
804C22×C4×C61C2414yes—
805C22×C4×C61C2412yes—
806C22×C4×C61C2414yes—
807C22×C4×C61C2414yes—
808C22×C4×C61C2414yes—
809C22×C4×C61C2412yes—
810C22×C4×C61C2414yes—
811C22×C4×C61C2414yes—
812C22×C4×C61C2414yes—
813C22×C4×C61C2414yes—
814C22×C4×C61C2414yes—
815C22×C4×C61C2414yes—
816C22×C4×C61C2414yes—
817C22×C4×C61C2414yes—
818C22×C4×C61C2412yes—
819C22×C4×C61C2414yes—
820C22×C4×C61C2412yes—
821C22×C4×C61C2412yes—
822C4⋊C4×C61C2411yescharacteristic
823C4⋊C4×C61C2414yes—
824C4⋊C4×C61C2412yes—
825C4⋊C4×C61C2412yes—
826C4⋊C4×C61C2414yes—
827C4⋊C4×C61C2414yes—
828C4⋊C4×C61C2412yes—
829C4⋊C4×C61C2412yes—
830C4⋊C4×C61C2412yes—
831C4⋊C4×C61C2411yescharacteristic
832C4⋊C4×C61C2411yescharacteristic
833C4⋊C4×C61C2414yes—
834C4⋊C4×C61C2412yes—
835C4⋊C4×C61C2414yes—
836C4⋊C4×C61C2414yes—
837C4⋊C4×C61C2412yes—
838C4⋊C4×C61C2412yes—
839C4⋊C4×C61C2411yescharacteristic
840C4⋊C4×C61C2412yes—
841C4⋊C4×C61C2412yes—
842C4⋊C4×C61C2412yes—
843C4⋊C4×C61C2412yes—
844C4⋊C4×C61C2414yes—
845C4⋊C4×C61C2414yes—
846C4⋊C4×C61C2414yes—
847C4⋊C4×C61C2414yes—
848C4⋊C4×C61C2414yes—
849C4⋊C4×C61C2412yes—
850C4⋊C4×C61C2414yes—
851C4⋊C4×C61C2412yes—
852C4⋊C4×C61C2412yes—
853C4⋊C4×C61C2412yes—
854C4⋊C4×C61C2412yes—
855C4⋊C4×C61C2412yes—
856C4⋊C4×C61C2411yescharacteristic
857C4⋊C4×C61C2414yes—
858C4⋊C4×C61C2414yes—
859C4⋊C4×C61C2414yes—
860C4⋊C4×C61C2412yes—
861C4⋊C4×C61C2414yes—
862C4⋊C4×C61C2414yes—
863C4⋊C4×C61C2412yes—
864C4⋊C4×C61C2411yescharacteristic
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—
875C4⋊C4×C61C2412yes—
876C4⋊C4×C61C2412yes—
877C4⋊C4×C61C2414yes—
878C4⋊C4×C61C2414yes—
879C4⋊C4×C61C2412yes—
880C4⋊C4×C61C2412yes—
881C4⋊C4×C61C2412yes—
882C4⋊C4×C61C2412yes—
883C22⋊C4×C61C2414yes—
884C22⋊C4×C61C2412yes—
885C22⋊C4×C61C2414yes—
886C22⋊C4×C61C2412yes—
887C22⋊C4×C61C2414yes—
888C22⋊C4×C61C2412yes—
889C22⋊C4×C61C2414yes—
890C22⋊C4×C61C2412yes—
891C22⋊C4×C61C2412yes—
892C22⋊C4×C61C2414yes—
893C22⋊C4×C61C2414yes—
894C22⋊C4×C61C2414yes—
895C22⋊C4×C61C2414yes—
896C22⋊C4×C61C2412yes—
897C22⋊C4×C61C2412yes—
898C22⋊C4×C61C2414yes—
899C22⋊C4×C61C2412yes—
900C22⋊C4×C61C2414yes—
901C22⋊C4×C61C2412yes—
902C22⋊C4×C61C2414yes—
903C22⋊C4×C61C2414yes—
904C22⋊C4×C61C2414yes—
905C22⋊C4×C61C2414yes—
906C22⋊C4×C61C2414yes—
907C22⋊C4×C61C2414yes—
908C22⋊C4×C61C2414yes—
909C22⋊C4×C61C2414yes—
910C22⋊C4×C61C2414yes—
911C22⋊C4×C61C2412yes—
912C22⋊C4×C61C2414yes—
913C22⋊C4×C61C2414yes—
914C22⋊C4×C61C2414yes—
915C22⋊C4×C61C2414yes—
916C22⋊C4×C61C2414yes—
917C22⋊C4×C61C2414yes—
918C22⋊C4×C61C2414yes—
919C22⋊C4×C61C2414yes—
920C22⋊C4×C61C2414yes—
921C22⋊C4×C61C2414yes—
922C22⋊C4×C61C2414yes—
923C22⋊C4×C61C2414yes—
924C22⋊C4×C61C2412yes—
925C22⋊C4×C61C2412yes—
926C22⋊C4×C61C2412yes—
927C22⋊C4×C61C2414yes—
928C22⋊C4×C61C2414yes—
929C22⋊C4×C61C2412yes—
930C22⋊C4×C61C2414yes—
931C22⋊C4×C61C2414yes—
932C22⋊C4×C61C2412yes—
933C22⋊C4×C61C2414yes—
934C22⋊C4×C61C2412yes—
935C22⋊C4×C61C2412yes—
936C22⋊C4×C61C2412yes—
937C22⋊C4×C61C2414yes—
938C22⋊C4×C61C2412yes—
939C22⋊C4×C61C2414yes—
940C22⋊C4×C61C2412yes—
941C22⋊C4×C61C2414yes—
942C22⋊C4×C61C2412yes—
943C22⋊C4×C61C2412yes—
944C42×C61C2412yes—
945C42×C61C2412yes—
946C42×C61C2412yes—
947C42×C61C2412yes—
948C42×C61C2414yes—
949C42×C61C2414yes—
950C42×C61C2414yes—
951C42×C61C2412yes—
952C42×C61C2414yes—
953C42×C61C2411yescharacteristic
954C42×C61C2412yes—
955C42×C61C2412yes—
956C42×C61C2411yescharacteristic
957C42×C61C2412yes—
958C42×C61C2412yes—
959C42×C61C2412yes—
960C42×C61C2411yescharacteristic
961C42×C61C2414yes—
962C42×C61C2411yescharacteristic
963C42×C61C2414yes—
964C42×C61C2414yes—
965C42×C61C2414yes—
966C42×C61C2414yes—
967C23×C61—24no—
968C23×C61—24no—
969C23×C61—42no—
970C23×C61—42no—
971C23×C61—44no—
972C23×C61—42no—
973C23×C61—42no—
974C23×C61—44no—
975C23×C61—44no—
976C23×C61—44no—
977C23×C61—44no—
978C23×C61—44no—
979C23×C61C2512yes—
980C23×C61C2512yes—
981C23×C61C2512yes—
982C23×C61C2514yes—
983C23×C61C2514yes—
984C23×C61C2512yes—
985C23×C61C2511yescharacteristic
986Q8×C61—24no—
987Q8×C61—24no—
988Q8×C61—42no—
989Q8×C61—44no—
990Q8×C61—42no—
991Q8×C61—42no—
992Q8×C61—41no—
993Q8×C61—42no—
994Q8×C61—44no—
995Q8×C61—42no—
996Q8×C61—42no—
997Q8×C61—41no—
998Q8×C61—42no—
999D4×C61—24no—
1000D4×C61—28no—
1001D4×C61—24no—
1002D4×C61—22no—
1003D4×C61—24no—
1004D4×C61—24no—
1005D4×C61—22no—
1006D4×C61—44no—
1007D4×C61—44no—
1008D4×C61—42no—
1009D4×C61—44no—
1010D4×C61—42no—
1011D4×C61—44no—
1012D4×C61—44no—
1013D4×C61—44no—
1014D4×C61—44no—
1015D4×C61—44no—
1016D4×C61—41no—
1017D4×C61—44no—
1018D4×C61—42no—
1019D4×C61—42no—
1020D4×C61—44no—
1021D4×C61—44no—
1022D4×C61—44no—
1023D4×C61—44no—
1024D4×C61—42no—
1025D4×C61—42no—
1026D4×C61—44no—
1027D4×C61—44no—
1028D4×C61—44no—
1029D4×C61—44no—
1030D4×C61—41no—
1031D4×C61—44no—
1032C2×C4×C61—22no—
1033C2×C4×C61—22no—
1034C2×C4×C61—22no—
1035C2×C4×C61—22no—
1036C2×C4×C61—24no—
1037C2×C4×C61—24no—
1038C2×C4×C61—41no—
1039C2×C4×C61—44no—
1040C2×C4×C61—42no—
1041C2×C4×C61—42no—
1042C2×C4×C61—41no—
1043C2×C4×C61—42no—
1044C2×C4×C61—42no—
1045C2×C4×C61—42no—
1046C2×C4×C61—44no—
1047C2×C4×C61—44no—
1048C2×C4×C61—44no—
1049C2×C4×C61—44no—
1050C2×C4×C61—42no—
1051C2×C4×C61—44no—
1052C2×C4×C61—44no—
1053C2×C4×C61—44no—
1054C2×C4×C61—41no—
1055C2×C4×C61—44no—
1056C2×C4×C61—44no—
1057C2×C4×C61—42no—
1058C2×C4×C61—44no—
1059C2×C4×C61—44no—
1060C2×C4×C61—44no—
1061C2×C4×C61—44no—
1062C2×C4×C61—44no—
1063C2×C4×C61—42no—
1064C2×C4×C61—42no—
1065C2×C4×C61—42no—
1066C2×C4×C61C2511yescharacteristic
1067C2×C4×C61C2512yes—
1068C2×C4×C61C2511yescharacteristic
1069C2×C4×C61C2512yes—
1070C2×C4×C61C2512yes—
1071C2×C4×C61C2512yes—
1072C2×C4×C61C2514yes—
1073C2×C4×C61C2512yes—
1074C2×C4×C61C2514yes—
1075C2×C4×C61C2512yes—
1076C2×C4×C61C2512yes—
1077C2×C4×C61C2512yes—
1078C2×C4×C61C2514yes—
1079C2×C4×C61C2512yes—
1080C2×C4×C61C2511yescharacteristic
1081C2×C4×C61C2511yescharacteristic
1082C2×C4×C61C2512yes—
1083C2×C4×C61C2512yes—
1084C2×C4×C61C2512yes—
1085C2×C4×C61C2514yes—
1086C2×C4×C61C2511yescharacteristic
1087C2×C4×C61C2511yescharacteristic
1088#62965C6111yesmaximal, characteristic, direct product factor, Sylow
1089C22×C61—21no—
1090C22×C61—21no—
1091C22×C61—22no—
1092C22×C61—22no—
1093C22×C61—22no—
1094C22×C61—22no—
1095C22×C61—22no—
1096C22×C61—24no—
1097C22×C61—24no—
1098C22×C61—24no—
1099C22×C61—22no—
1100C22×C61—24no—
1101C22×C61—22no—
1102C22×C61—22no—
1103C22×C61—22no—
1104C22×C61—22no—
1105C22×C61—24no—
1106C22×C61—24no—
1107C22×C61—22no—
1108C22×C61—22no—
1109C22×C61—84no—
1110C22×C61—84no—
1111C22×C61—88no—
1112C22×C61—164no—
1113C22×C61#58512yes—
1114C22×C61C2611yescharacteristic
1115C4×C61—22no—
1116C4×C61—21no—
1117C4×C61—22no—
1118C4×C61—22no—
1119C4×C61—22no—
1120C4×C61—21no—
1121C4×C61—21no—
1122C4×C61—22no—
1123C4×C61—24no—
1124C4×C61—22no—
1125C4×C61—24no—
1126C4×C61—24no—
1127C4×C61—22no—
1128C4×C61—22no—
1129C4×C61—21no—
1130C4×C61—22no—
1131C4×C61—22no—
1132C4×C61—24no—
1133C4×C61—21no—
1134C4×C61—22no—
1135C4×C61—22no—
1136C4×C61#58512yes—
1137#3566C2×C6114yescomplemented
1138#3566C2×C6114yescomplemented
1139#3562C2×C6112yescomplemented
1140#3561C2×C6111yescharacteristic, complemented
1141#3558C2×C6111yescharacteristic, complemented
1142#3558C2×C6112yescomplemented
1143#3557C2×C6112yescomplemented
1144#3554C2×C6112yescomplemented
1145#3545C2×C6114yescomplemented
1146#3543C2×C6112yescomplemented
1147#3540C2×C6114yescomplemented
1148#3535C2×C6112yescomplemented
1149#3534C2×C6112yescomplemented
1150#3533C2×C6114yescomplemented
1151#3524C2×C6112yescomplemented
1152#3520C2×C6111yescharacteristic, complemented
1153#3519C2×C6111yescharacteristic, complemented
1154#3516C2×C6112yescomplemented
1155#3514C2×C6112yescomplemented
1156#3513C2×C6112yescomplemented
1157#3513C2×C6114yescomplemented
1158#3510C2×C6112yescomplemented
1159#3507C2×C6111yescharacteristic, complemented
1160#3506C2×C6112yescomplemented
1161#3505C2×C6112yescomplemented
1162#3481C2×C6112yescomplemented
1163C2×#559C2×C6111yescharacteristic, complemented
1164#3461C2×C6111yescharacteristic, complemented
1165#3459C2×C6112yescomplemented
1166C2×C61—22no—
1167C2×C61—42no—
1168C2×C61—42no—
1169C2×C61—44no—
1170C2×C61—44no—
1171C2×C61—42no—
1172C2×C61—42no—
1173C2×C61C2×#58511yescharacteristic
1174C2×C61C2×#58511yescharacteristic
1175C2×C61H(7,𝔽2)11yescharacteristic
1176#563C22×C6114yescomplemented
1177#563C22×C6114yescomplemented
1178#563C22×C6112yescomplemented
1179#562C22×C6112yescomplemented
1180#562C22×C6114yescomplemented
1181#562C22×C6114yescomplemented
1182#562C22×C6114yescomplemented
1183#562C22×C6114yescomplemented
1184#562C22×C6112yescomplemented
1185H(3,𝔽4)C22×C6112yescomplemented
1186H(3,𝔽4)C22×C6114yescomplemented
1187#560C22×C6114yescomplemented
1188#560C22×C6114yescomplemented
1189#560C22×C6114yescomplemented
1190#559C22×C6112yescomplemented
1191#559C22×C6112yescomplemented
1192#559C22×C6114yescomplemented
1193#559C22×C6114yescomplemented
1194#559C22×C6112yescomplemented
1195#559C22×C6112yescomplemented
1196#559C22×C6112yescomplemented
1197#559C22×C6112yescomplemented
1198#559C22×C6112yescomplemented
1199#559C22×C6112yescomplemented
1200#559C22×C6112yescomplemented
1201#559C22×C6114yescomplemented
1202#557C22×C6112yescomplemented
1203#557C22×C6112yescomplemented
1204#556C22×C6112yescomplemented
1205#556C22×C6112yescomplemented
1206#556C22×C6112yescomplemented
1207#556C22×C6114yescomplemented
1208#556C22×C6111yescharacteristic, complemented
1209#556C22×C6112yescomplemented
1210#556C22×C6114yescomplemented
1211#555C22×C6114yescomplemented
1212#555C22×C6114yescomplemented
1213#555C22×C6111yescharacteristic, complemented
1214#555C22×C6114yescomplemented
1215#554C22×C6112yescomplemented
1216#554C22×C6112yescomplemented
1217#554C22×C6112yescomplemented
1218#554C22×C6114yescomplemented
1219#554C22×C6111yescharacteristic, complemented
1220#553C22×C6112yescomplemented
1221#553C22×C6112yescomplemented
1222#553C22×C6114yescomplemented
1223#553C22×C6114yescomplemented
1224#553C22×C6114yescomplemented
1225#553C22×C6114yescomplemented
1226#553C22×C6114yescomplemented
1227#553C22×C6114yescomplemented
1228#553C22×C6114yescomplemented
1229#553C22×C6112yescomplemented
1230#552C22×C6114yescomplemented
1231#552C22×C6114yescomplemented
1232#552C22×C6112yescomplemented
1233#552C22×C6114yescomplemented
1234#552C22×C6114yescomplemented
1235#552C22×C6112yescomplemented
1236#552C22×C6114yescomplemented
1237#551C22×C6114yescomplemented
1238#551C22×C6114yescomplemented
1239#551C22×C6114yescomplemented
1240#551C22×C6114yescomplemented
1241#551C22×C6114yescomplemented
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×C6111yescharacteristic, complemented
1251#550C22×C6112yescomplemented
1252#550C22×C6112yescomplemented
1253D4×Q8C22×C6112yescomplemented
1254D4×Q8C22×C6111yescharacteristic, complemented
1255#548C22×C6114yescomplemented
1256#548C22×C6112yescomplemented
1257#548C22×C6112yescomplemented
1258#548C22×C6112yescomplemented
1259#548C22×C6112yescomplemented
1260#548C22×C6112yescomplemented
1261#547C22×C6114yescomplemented
1262#547C22×C6111yescharacteristic, complemented
1263#547C22×C6114yescomplemented
1264#547C22×C6111yescharacteristic, complemented
1265#546C22×C6114yescomplemented
1266#546C22×C6112yescomplemented
1267#546C22×C6112yescomplemented
1268#546C22×C6114yescomplemented
1269#546C22×C6112yescomplemented
1270#546C22×C6114yescomplemented
1271#546C22×C6114yescomplemented
1272#546C22×C6114yescomplemented
1273#546C22×C6114yescomplemented
1274#546C22×C6114yescomplemented
1275#546C22×C6112yescomplemented
1276#546C22×C6112yescomplemented
1277#546C22×C6114yescomplemented
1278#546C22×C6112yescomplemented
1279D42C22×C6112yescomplemented
1280D42C22×C6114yescomplemented
1281D42C22×C6112yescomplemented
1282D42C22×C6112yescomplemented
1283D42C22×C6111yescharacteristic, complemented
1284#544C22×C6111yescharacteristic, complemented
1285#543C22×C6112yescomplemented
1286#542C22×C6112yescomplemented
1287#542C22×C6112yescomplemented
1288#542C22×C6114yescomplemented
1289#542C22×C6114yescomplemented
1290#542C22×C6114yescomplemented
1291#542C22×C6112yescomplemented
1292#542C22×C6114yescomplemented
1293#542C22×C6114yescomplemented
1294#542C22×C6112yescomplemented
1295#542C22×C6112yescomplemented
1296#542C22×C6114yescomplemented
1297#542C22×C6112yescomplemented
1298#542C22×C6114yescomplemented
1299#542C22×C6114yescomplemented
1300#542C22×C6114yescomplemented
1301#541C22×C6112yescomplemented
1302#541C22×C6112yescomplemented
1303#541C22×C6112yescomplemented
1304#541C22×C6114yescomplemented
1305#540C22×C6112yes—
1306#540C22×C6114yescomplemented
1307#540C22×C6112yescomplemented
1308#540C22×C6114yescomplemented
1309#540C22×C6112yescomplemented
1310#540C22×C6114yescomplemented
1311#539C22×C6111yescharacteristic, complemented
1312#539C22×C6112yescomplemented
1313#539C22×C6114yescomplemented
1314#539C22×C6114yescomplemented
1315#539C22×C6111yescharacteristic, complemented
1316#539C22×C6112yescomplemented
1317#539C22×C6112yescomplemented
1318#539C22×C6114yescomplemented
1319#539C22×C6114yescomplemented
1320#539C22×C6114yescomplemented
1321#539C22×C6114yescomplemented
1322#539C22×C6114yescomplemented
1323#538C22×C6114yescomplemented
1324#538C22×C6114yescomplemented
1325#538C22×C6114yescomplemented
1326#538C22×C6112yescomplemented
1327#538C22×C6112yescomplemented
1328#538C22×C6114yescomplemented
1329#538C22×C6114yescomplemented
1330#538C22×C6114yescomplemented
1331#538C22×C6114yescomplemented
1332#538C22×C6114yescomplemented
1333#538C22×C6114yescomplemented
1334#538C22×C6114yescomplemented
1335#538C22×C6114yescomplemented
1336#538C22×C6114yescomplemented
1337#537C22×C6111yescharacteristic
1338#536C22×C6112yescomplemented
1339#536C22×C6112yescomplemented
1340#536C22×C6112yescomplemented
1341#536C22×C6114yescomplemented
1342#535C22×C6112yes—
1343#535C22×C6112yescomplemented
1344#535C22×C6112yescomplemented
1345#535C22×C6114yescomplemented
1346#534C22×C6112yescomplemented
1347#534C22×C6114yescomplemented
1348#534C22×C6114yescomplemented
1349#534C22×C6114yescomplemented
1350#533C22×C6112yescomplemented
1351#533C22×C6112yescomplemented
1352#533C22×C6111yescharacteristic, complemented
1353#532C22×C6111yescharacteristic
1354#532C22×C6112yescomplemented
1355#532C22×C6112yescomplemented
1356C2×#127C22×C6111yescharacteristic
1357#529C22×C6114yescomplemented
1358#529C22×C6114yescomplemented
1359#529C22×C6114yescomplemented
1360#529C22×C6112yescomplemented
1361#529C22×C6112yescomplemented
1362#529C22×C6111yescharacteristic, complemented
1363#529C22×C6111yescharacteristic, complemented
1364#529C22×C6112yescomplemented
1365#529C22×C6112yescomplemented
1366#529C22×C6112yescomplemented
1367#529C22×C6114yescomplemented
1368#529C22×C6114yescomplemented
1369#529C22×C6112yescomplemented
1370#529C22×C6114yescomplemented
1371#529C22×C6112yescomplemented
1372#529C22×C6114yescomplemented
1373#529C22×C6112yescomplemented
1374C2×#124C22×C6111yescharacteristic, complemented
1375C2×#124C22×C6112yescomplemented
1376C2×#124C22×C6111yescharacteristic, complemented
1377C2×#124C22×C6112yescomplemented
1378#525C22×C6114yescomplemented
1379#525C22×C6114yescomplemented
1380#525C22×C6112yescomplemented
1381#525C22×C6112yescomplemented
1382#525C22×C6114yescomplemented
1383#525C22×C6114yescomplemented
1384#525C22×C6114yescomplemented
1385C2×#123C22×C6112yescomplemented
1386C2×#123C22×C6112yescomplemented
1387C2×#123C22×C6114yescomplemented
1388C2×C22⋊Q8C22×C6112yescomplemented
1389C2×#121C22×C6112yescomplemented
1390#520C22×C6112yescomplemented
1391#520C22×C6112yescomplemented
1392#520C22×C6112yescomplemented
1393#519C22×C6112yescomplemented
1394#518C22×C6114yescomplemented
1395#518C22×C6112yescomplemented
1396C4×#41C22×C6112yescomplemented
1397C4×#41C22×C6112yescomplemented
1398C2×C4×Q8C22×C6111yescharacteristic, complemented
1399C2×C4×Q8C22×C6111yescharacteristic, complemented
1400C2×C4×D4C22×C6112yescomplemented
1401C2×C4×D4C22×C6114yescomplemented
1402C2×C4×D4C22×C6111yescharacteristic, complemented
1403C2×C4×D4C22×C6111yescharacteristic, complemented
1404C2×C4×D4C22×C6112yescomplemented
1405C61#6296511yescharacteristic, direct product factor, Sylow
1406C2×#41C23×C6112yes—
1407C2×#41C23×C6112yes—
1408C2×#41C23×C6112yes—
1409C2×#41C23×C6112yes—
1410C2×#41C23×C6112yes—
1411C2×#41C23×C6112yes—
1412C2×#41C23×C6112yes—
1413C2×#41C23×C6114yes—
1414C2×#41C23×C6114yes—
1415C22×Q8C23×C6111yescharacteristic
1416C22×Q8C23×C6111yescharacteristic
1417C22×Q8C23×C6112yes—
1418C22×Q8C23×C6112yes—
1419C22×D4C23×C6112yes—
1420C22×D4C23×C6111yescharacteristic
1421C22×D4C23×C6111yescharacteristic
1422C22×D4C23×C6114yes—
1423C22×D4C23×C6112yes—
1424C22×D4C23×C6114yes—
1425C22×D4C23×C6112yes—
1426C22×D4C23×C6112yes—
1427C22×D4C23×C6112yes—
1428C22×D4C23×C6114yes—
1429C23×C4C23×C6112yes—
1430C23×C4C23×C6112yes—
1431C23×C4C23×C6114yes—
1432C4⋊Q8C23×C6111yescharacteristic
1433C4⋊Q8C23×C6112yes—
1434C4⋊Q8C23×C6112yes—
1435C4⋊Q8C23×C6112yes—
1436C4⋊Q8C23×C6111yescharacteristic
1437C4⋊Q8C23×C6112yes—
1438C4⋊Q8C23×C6112yes—
1439C4⋊Q8C23×C6111yescharacteristic
1440C4⋊Q8C23×C6112yes—
1441C4⋊Q8C23×C6114yes—
1442C4⋊Q8C23×C6114yes—
1443C4⋊Q8C23×C6114yes—
1444#127C23×C6112yes—
1445#127C23×C6112yes—
1446#127C23×C6114yes—
1447#127C23×C6111yescharacteristic
1448#127C23×C6112yes—
1449#127C23×C6112yes—
1450#127C23×C6114yes—
1451#126C23×C6112yes—
1452#126C23×C6112yes—
1453#126C23×C6114yes—
1454#126C23×C6112yes—
1455#126C23×C6114yes—
1456#126C23×C6114yes—
1457#126C23×C6112yes—
1458#126C23×C6114yes—
1459#126C23×C6114yes—
1460#126C23×C6114yes—
1461#126C23×C6114yes—
1462#126C23×C6114yes—
1463#126C23×C6114yes—
1464#126C23×C6114yes—
1465#126C23×C6114yes—
1466#126C23×C6114yes—
1467#126C23×C6112yes—
1468#126C23×C6112yes—
1469#126C23×C6114yes—
1470#126C23×C6114yes—
1471#126C23×C6112yes—
1472#126C23×C6114yes—
1473#126C23×C6112yes—
1474#126C23×C6114yes—
1475#126C23×C6114yes—
1476#126C23×C6114yes—
1477#126C23×C6114yes—
1478#126C23×C6114yes—
1479#126C23×C6114yes—
1480#126C23×C6114yes—
1481#126C23×C6114yes—
1482#125C23×C6112yes—
1483#125C23×C6112yes—
1484#125C23×C6112yes—
1485#125C23×C6112yes—
1486#125C23×C6114yes—
1487#125C23×C6114yes—
1488#125C23×C6114yes—
1489#125C23×C6114yes—
1490#125C23×C6112yes—
1491#125C23×C6112yes—
1492#125C23×C6112yes—
1493#125C23×C6111yescharacteristic
1494#125C23×C6114yes—
1495#125C23×C6111yescharacteristic
1496#125C23×C6112yes—
1497#125C23×C6112yes—
1498#125C23×C6112yes—
1499#125C23×C6112yes—
1500#125C23×C6114yes—
1501#125C23×C6114yes—
1502#125C23×C6114yes—
1503#124C23×C6112yes—
1504#124C23×C6114yes—
1505#124C23×C6112yes—
1506#124C23×C6112yes—
1507#124C23×C6112yes—
1508#124C23×C6112yes—
1509#124C23×C6112yes—
1510#124C23×C6112yes—
1511#124C23×C6112yes—
1512#124C23×C6114yes—
1513#124C23×C6114yes—
1514#124C23×C6114yes—
1515#124C23×C6114yes—
1516#124C23×C6114yes—
1517#124C23×C6114yes—
1518#124C23×C6112yes—
1519#124C23×C6112yes—
1520#124C23×C6112yes—
1521#124C23×C6112yes—
1522#124C23×C6112yes—
1523#124C23×C6112yes—
1524#124C23×C6114yes—
1525#124C23×C6114yes—
1526#124C23×C6114yes—
1527#124C23×C6114yes—
1528#124C23×C6111yescharacteristic
1529#124C23×C6114yes—
1530#124C23×C6111yescharacteristic
1531#124C23×C6112yes—
1532#124C23×C6114yes—
1533#124C23×C6114yes—
1534#124C23×C6114yes—
1535#124C23×C6114yes—
1536#124C23×C6114yes—
1537#124C23×C6114yes—
1538#124C23×C6114yes—
1539#124C23×C6114yes—
1540#124C23×C6114yes—
1541#124C23×C6114yes—
1542#123C23×C6112yes—
1543#123C23×C6114yes—
1544#123C23×C6114yes—
1545#123C23×C6114yes—
1546#123C23×C6114yes—
1547#123C23×C6114yes—
1548#123C23×C6114yes—
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×C6112yes—
1558#123C23×C6114yes—
1559#123C23×C6114yes—
1560#123C23×C6114yes—
1561#123C23×C6114yes—
1562#123C23×C6114yes—
1563#123C23×C6114yes—
1564#123C23×C6114yes—
1565#123C23×C6112yes—
1566#123C23×C6112yes—
1567#123C23×C6114yes—
1568#123C23×C6114yes—
1569#123C23×C6114yes—
1570#123C23×C6114yes—
1571#123C23×C6114yes—
1572#123C23×C6112yes—
1573#123C23×C6112yes—
1574#123C23×C6114yes—
1575#123C23×C6114yes—
1576#123C23×C6112yes—
1577#123C23×C6112yes—
1578#123C23×C6114yes—
1579#123C23×C6114yes—
1580#123C23×C6114yes—
1581#123C23×C6114yes—
1582#123C23×C6114yes—
1583#123C23×C6114yes—
1584#123C23×C6114yes—
1585#123C23×C6114yes—
1586#123C23×C6114yes—
1587#123C23×C6114yes—
1588#123C23×C6114yes—
1589#123C23×C6114yes—
1590#123C23×C6114yes—
1591#123C23×C6114yes—
1592#123C23×C6114yes—
1593#123C23×C6114yes—
1594#123C23×C6114yes—
1595C22⋊Q8C23×C6111yescharacteristic
1596C22⋊Q8C23×C6114yes—
1597C22⋊Q8C23×C6112yes—
1598C22⋊Q8C23×C6112yes—
1599C22⋊Q8C23×C6114yes—
1600C22⋊Q8C23×C6112yes—
1601C22⋊Q8C23×C6111yescharacteristic
1602C22⋊Q8C23×C6112yes—
1603C22⋊Q8C23×C6112yes—
1604C22⋊Q8C23×C6114yes—
1605C22⋊Q8C23×C6114yes—
1606C22⋊Q8C23×C6112yes—
1607C22⋊Q8C23×C6114yes—
1608C22⋊Q8C23×C6112yes—
1609C22⋊Q8C23×C6114yes—
1610C22⋊Q8C23×C6114yes—
1611C22⋊Q8C23×C6114yes—
1612C22⋊Q8C23×C6114yes—
1613C22⋊Q8C23×C6112yes—
1614C22⋊Q8C23×C6112yes—
1615C22⋊Q8C23×C6114yes—
1616C22⋊Q8C23×C6112yes—
1617C22⋊Q8C23×C6114yes—
1618C22⋊Q8C23×C6114yes—
1619C22⋊Q8C23×C6114yes—
1620C22⋊Q8C23×C6114yes—
1621C22⋊Q8C23×C6112yes—
1622C22⋊Q8C23×C6112yes—
1623C22⋊Q8C23×C6112yes—
1624C22⋊Q8C23×C6112yes—
1625C22⋊Q8C23×C6114yes—
1626C22⋊Q8C23×C6112yes—
1627C22⋊Q8C23×C6112yes—
1628C22⋊Q8C23×C6112yes—
1629C22⋊Q8C23×C6112yes—
1630C22⋊Q8C23×C6112yes—
1631C22⋊Q8C23×C6112yes—
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×C6111yescharacteristic
1644#121C23×C6114yes—
1645#121C23×C6112yes—
1646#121C23×C6112yes—
1647#121C23×C6114yes—
1648#121C23×C6112yes—
1649#121C23×C6111yescharacteristic
1650#121C23×C6114yes—
1651#121C23×C6114yes—
1652#121C23×C6114yes—
1653#121C23×C6114yes—
1654#121C23×C6112yes—
1655#121C23×C6114yes—
1656#121C23×C6114yes—
1657#121C23×C6112yes—
1658#121C23×C6114yes—
1659#121C23×C6114yes—
1660#121C23×C6112yes—
1661#121C23×C6112yes—
1662#121C23×C6114yes—
1663#121C23×C6114yes—
1664#121C23×C6114yes—
1665#121C23×C6114yes—
1666#121C23×C6112yes—
1667#121C23×C6112yes—
1668#121C23×C6114yes—
1669#121C23×C6112yes—
1670#121C23×C6112yes—
1671#121C23×C6114yes—
1672#121C23×C6112yes—
1673#121C23×C6114yes—
1674#121C23×C6114yes—
1675#121C23×C6112yes—
1676#121C23×C6112yes—
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#120C23×C6114yes—
1695#120C23×C6114yes—
1696#120C23×C6114yes—
1697#120C23×C6114yes—
1698#120C23×C6114yes—
1699#120C23×C6114yes—
1700#120C23×C6114yes—
1701#120C23×C6114yes—
1702#120C23×C6114yes—
1703#120C23×C6114yes—
1704#120C23×C6114yes—
1705#120C23×C6114yes—
1706#120C23×C6114yes—
1707#120C23×C6114yes—
1708#120C23×C6114yes—
1709#120C23×C6114yes—
1710#120C23×C6114yes—
1711#120C23×C6114yes—
1712C4×Q8C23×C6112yes—
1713C4×Q8C23×C6112yes—
1714C4×Q8C23×C6112yes—
1715C4×Q8C23×C6112yes—
1716C4×Q8C23×C6112yes—
1717C4×Q8C23×C6114yes—
1718C4×Q8C23×C6112yes—
1719C4×Q8C23×C6112yes—
1720C4×Q8C23×C6112yes—
1721C4×Q8C23×C6112yes—
1722C4×Q8C23×C6112yes—
1723C4×Q8C23×C6114yes—
1724C4×Q8C23×C6112yes—
1725C4×Q8C23×C6112yes—
1726C4×Q8C23×C6114yes—
1727C4×Q8C23×C6112yes—
1728C4×Q8C23×C6114yes—
1729C4×Q8C23×C6112yes—
1730C4×Q8C23×C6111yescharacteristic
1731C4×Q8C23×C6111yescharacteristic
1732C4×Q8C23×C6112yes—
1733C4×Q8C23×C6114yes—
1734C4×Q8C23×C6112yes—
1735C4×D4C23×C6112yes—
1736C4×D4C23×C6112yes—
1737C4×D4C23×C6111yescharacteristic
1738C4×D4C23×C6114yes—
1739C4×D4C23×C6112yes—
1740C4×D4C23×C6111yescharacteristic
1741C4×D4C23×C6114yes—
1742C4×D4C23×C6114yes—
1743C4×D4C23×C6114yes—
1744C4×D4C23×C6114yes—
1745C4×D4C23×C6114yes—
1746C4×D4C23×C6114yes—
1747C4×D4C23×C6114yes—
1748C4×D4C23×C6114yes—
1749C4×D4C23×C6114yes—
1750C4×D4C23×C6114yes—
1751C4×D4C23×C6112yes—
1752C4×D4C23×C6112yes—
1753C4×D4C23×C6112yes—
1754C4×D4C23×C6114yes—
1755C4×D4C23×C6114yes—
1756C4×D4C23×C6114yes—
1757C4×D4C23×C6112yes—
1758C4×D4C23×C6112yes—
1759C4×D4C23×C6111yescharacteristic
1760C4×D4C23×C6111yescharacteristic
1761C4×D4C23×C6112yes—
1762C4×D4C23×C6112yes—
1763C4×D4C23×C6114yes—
1764C4×D4C23×C6112yes—
1765C4×D4C23×C6112yes—
1766C4×D4C23×C6112yes—
1767C4×D4C23×C6112yes—
1768C4×D4C23×C6114yes—
1769C4×D4C23×C6114yes—
1770C4×D4C23×C6114yes—
1771C4×D4C23×C6114yes—
1772C4×D4C23×C6114yes—
1773C4×D4C23×C6114yes—
1774C4×D4C23×C6112yes—
1775C4×D4C23×C6114yes—
1776C4×D4C23×C6114yes—
1777C4×D4C23×C6112yes—
1778C4×D4C23×C6114yes—
1779C4×D4C23×C6114yes—
1780C4×D4C23×C6114yes—
1781C4×D4C23×C6114yes—
1782C4×D4C23×C6114yes—
1783C4×D4C23×C6114yes—
1784C4×D4C23×C6114yes—
1785C4×D4C23×C6112yes—
1786C4×D4C23×C6112yes—
1787C4×D4C23×C6111yescharacteristic
1788C4×D4C23×C6112yes—
1789C4×D4C23×C6111yescharacteristic
1790C4×D4C23×C6114yes—
1791C4×D4C23×C6114yes—
1792C4×D4C23×C6114yes—
1793C4×D4C23×C6114yes—
1794C4×D4C23×C6114yes—
1795C4×D4C23×C6114yes—
1796C4×D4C23×C6112yes—
1797C4×D4C23×C6114yes—
1798#117C23×C6112yes—
1799#117C23×C6112yes—
1800#117C23×C6112yes—
1801#117C23×C6112yes—
1802#117C23×C6114yes—
1803#117C23×C6112yes—
1804#117C23×C6114yes—
1805#117C23×C6114yes—
1806#117C23×C6112yes—
1807#117C23×C6114yes—
1808#117C23×C6114yes—
1809#117C23×C6112yes—
1810#117C23×C6112yes—
1811#117C23×C6114yes—
1812#117C23×C6114yes—
1813#117C23×C6114yes—
1814#117C23×C6112yes—
1815#117C23×C6112yes—
1816#117C23×C6114yes—
1817#117C23×C6114yes—
1818#117C23×C6114yes—
1819#117C23×C6114yes—
1820#117C23×C6112yes—
1821#117C23×C6114yes—
1822#117C23×C6114yes—
1823#117C23×C6114yes—
1824C2×C4⋊C4C23×C6111yescharacteristic
1825C2×C4⋊C4C23×C6111yescharacteristic
1826C2×C4⋊C4C23×C6112yes—
1827C2×C4⋊C4C23×C6114yes—
1828C2×C4⋊C4C23×C6111yescharacteristic
1829C2×C4⋊C4C23×C6111yescharacteristic
1830C2×C4⋊C4C23×C6112yes—
1831C2×C4⋊C4C23×C6114yes—
1832C2×C4⋊C4C23×C6114yes—
1833C2×C4⋊C4C23×C6114yes—
1834C2×C4⋊C4C23×C6112yes—
1835C2×C4⋊C4C23×C6112yes—
1836C2×C22⋊C4C23×C6112yes—
1837C2×C22⋊C4C23×C6112yes—
1838C2×C22⋊C4C23×C6112yes—
1839C2×C22⋊C4C23×C6112yes—
1840C2×C22⋊C4C23×C6114yes—
1841C2×C22⋊C4C23×C6114yes—
1842C2×C22⋊C4C23×C6114yes—
1843C2×C22⋊C4C23×C6114yes—
1844C2×C22⋊C4C23×C6114yes—
1845C2×C22⋊C4C23×C6114yes—
1846C2×C22⋊C4C23×C6114yes—
1847C2×C22⋊C4C23×C6114yes—
1848C2×C22⋊C4C23×C6112yes—
1849C2×C22⋊C4C23×C6112yes—
1850C2×C22⋊C4C23×C6114yes—
1851C2×C22⋊C4C23×C6114yes—
1852C2×C42C23×C6111yescharacteristic
1853C2×C42C23×C6112yes—
1854C2×C42C23×C6111yescharacteristic
1855C2×C42C23×C6114yes—
1856C2×C42C23×C6112yes—
1857C2×C42C23×C6111yescharacteristic
1858C2×C42C23×C6112yes—
1859C24C24×C6112yes—
1860C24C24×C6112yes—
1861C24C24×C6114yes—
1862C24C24×C6114yes—
1863#41—44no—
1864#41—44no—
1865#41—44no—
1866#41—44no—
1867#41—44no—
1868#41—82no—
1869#41—82no—
1870#41—84no—
1871#41—84no—
1872C2×Q8—42no—
1873C2×Q8—42no—
1874C2×Q8—44no—
1875C2×Q8—82no—
1876C2×Q8C24×C6112yes—
1877C2×Q8C24×C6112yes—
1878C2×Q8C24×C6112yes—
1879C2×Q8C24×C6114yes—
1880C2×Q8C24×C6112yes—
1881C2×Q8C24×C6112yes—
1882C2×Q8C24×C6112yes—
1883C2×Q8C24×C6112yes—
1884C2×Q8C24×C6112yes—
1885C2×Q8C24×C6111yescharacteristic
1886C2×Q8C24×C6114yes—
1887C2×Q8C24×C6111yescharacteristic
1888C2×Q8C24×C6112yes—
1889C2×D4—42no—
1890C2×D4—42no—
1891C2×D4—44no—
1892C2×D4—44no—
1893C2×D4—44no—
1894C2×D4—48no—
1895C2×D4—48no—
1896C2×D4—82no—
1897C2×D4—82no—
1898C2×D4—84no—
1899C2×D4C24×C6112yes—
1900C2×D4C24×C6114yes—
1901C2×D4C24×C6112yes—
1902C2×D4C24×C6111yescharacteristic
1903C2×D4C24×C6112yes—
1904C2×D4C24×C6112yes—
1905C2×D4C24×C6111yescharacteristic
1906C2×D4C24×C6112yes—
1907C2×D4C24×C6114yes—
1908C2×D4C24×C6114yes—
1909C2×D4C24×C6112yes—
1910C2×D4C24×C6114yes—
1911C2×D4C24×C6114yes—
1912C2×D4C24×C6114yes—
1913C2×D4C24×C6114yes—
1914C2×D4C24×C6114yes—
1915C2×D4C24×C6114yes—
1916C2×D4C24×C6112yes—
1917C2×D4C24×C6112yes—
1918C2×D4C24×C6114yes—
1919C2×D4C24×C6114yes—
1920C2×D4C24×C6114yes—
1921C2×D4C24×C6111yescharacteristic
1922C2×D4C24×C6114yes—
1923C2×D4C24×C6114yes—
1924C2×D4C24×C6114yes—
1925C2×D4C24×C6114yes—
1926C2×D4C24×C6114yes—
1927C2×D4C24×C6112yes—
1928C2×D4C24×C6114yes—
1929C2×D4C24×C6114yes—
1930C2×D4C24×C6111yescharacteristic
1931C2×D4C24×C6112yes—
1932C22×C4—82no—
1933C22×C4—82no—
1934C22×C4—84no—
1935C22×C4C24×C6111yescharacteristic
1936C22×C4C24×C6111yescharacteristic
1937C22×C4C24×C6111yescharacteristic
1938C22×C4C24×C6111yescharacteristic
1939C22×C4C24×C6112yes—
1940C22×C4C24×C6112yes—
1941C22×C4C24×C6112yes—
1942C22×C4C24×C6111yescharacteristic
1943C22×C4C24×C6112yes—
1944C22×C4C24×C6111yescharacteristic
1945C22×C4C24×C6112yes—
1946C22×C4C24×C6112yes—
1947C22×C4C24×C6114yes—
1948C22×C4C24×C6112yes—
1949C22×C4C24×C6111yescharacteristic
1950C22×C4C24×C6114yes—
1951C22×C4C24×C6114yes—
1952C22×C4C24×C6112yes—
1953C22×C4C24×C6114yes—
1954C22×C4C24×C6114yes—
1955C22×C4C24×C6114yes—
1956C22×C4C24×C6112yes—
1957C22×C4C24×C6114yes—
1958C22×C4C24×C6114yes—
1959C22×C4C24×C6114yes—
1960C22×C4C24×C6114yes—
1961C22×C4C24×C6114yes—
1962C22×C4C24×C6114yes—
1963C22×C4C24×C6114yes—
1964C22×C4C24×C6114yes—
1965C22×C4C24×C6112yes—
1966C22×C4C24×C6114yes—
1967C22×C4C24×C6112yes—
1968C22×C4C24×C6112yes—
1969C4⋊C4C24×C6111yescharacteristic
1970C4⋊C4C24×C6114yes—
1971C4⋊C4C24×C6112yes—
1972C4⋊C4C24×C6112yes—
1973C4⋊C4C24×C6114yes—
1974C4⋊C4C24×C6114yes—
1975C4⋊C4C24×C6112yes—
1976C4⋊C4C24×C6112yes—
1977C4⋊C4C24×C6112yes—
1978C4⋊C4C24×C6111yescharacteristic
1979C4⋊C4C24×C6111yescharacteristic
1980C4⋊C4C24×C6114yes—
1981C4⋊C4C24×C6112yes—
1982C4⋊C4C24×C6114yes—
1983C4⋊C4C24×C6114yes—
1984C4⋊C4C24×C6112yes—
1985C4⋊C4C24×C6111yescharacteristic
1986C4⋊C4C24×C6112yes—
1987C4⋊C4C24×C6112yes—
1988C4⋊C4C24×C6112yes—
1989C4⋊C4C24×C6112yes—
1990C4⋊C4C24×C6112yes—
1991C4⋊C4C24×C6114yes—
1992C4⋊C4C24×C6114yes—
1993C4⋊C4C24×C6114yes—
1994C4⋊C4C24×C6114yes—
1995C4⋊C4C24×C6114yes—
1996C4⋊C4C24×C6112yes—
1997C4⋊C4C24×C6114yes—
1998C4⋊C4C24×C6112yes—
1999C4⋊C4C24×C6112yes—
2000C4⋊C4C24×C6112yes—
2001C4⋊C4C24×C6112yes—
2002C4⋊C4C24×C6112yes—
2003C4⋊C4C24×C6111yescharacteristic
2004C4⋊C4C24×C6114yes—
2005C4⋊C4C24×C6114yes—
2006C4⋊C4C24×C6114yes—
2007C4⋊C4C24×C6112yes—
2008C4⋊C4C24×C6114yes—
2009C4⋊C4C24×C6112yes—
2010C4⋊C4C24×C6114yes—
2011C4⋊C4C24×C6111yescharacteristic
2012C4⋊C4C24×C6112yes—
2013C4⋊C4C24×C6114yes—
2014C4⋊C4C24×C6114yes—
2015C4⋊C4C24×C6112yes—
2016C4⋊C4C24×C6112yes—
2017C4⋊C4C24×C6112yes—
2018C4⋊C4C24×C6112yes—
2019C4⋊C4C24×C6114yes—
2020C4⋊C4C24×C6112yes—
2021C4⋊C4C24×C6112yes—
2022C4⋊C4C24×C6112yes—
2023C4⋊C4C24×C6112yes—
2024C4⋊C4C24×C6114yes—
2025C4⋊C4C24×C6114yes—
2026C4⋊C4C24×C6112yes—
2027C4⋊C4C24×C6112yes—
2028C4⋊C4C24×C6112yes—
2029C4⋊C4C24×C6112yes—
2030C22⋊C4C24×C6114yes—
2031C22⋊C4C24×C6112yes—
2032C22⋊C4C24×C6114yes—
2033C22⋊C4C24×C6112yes—
2034C22⋊C4C24×C6114yes—
2035C22⋊C4C24×C6112yes—
2036C22⋊C4C24×C6114yes—
2037C22⋊C4C24×C6112yes—
2038C22⋊C4C24×C6112yes—
2039C22⋊C4C24×C6114yes—
2040C22⋊C4C24×C6114yes—
2041C22⋊C4C24×C6114yes—
2042C22⋊C4C24×C6114yes—
2043C22⋊C4C24×C6112yes—
2044C22⋊C4C24×C6112yes—
2045C22⋊C4C24×C6114yes—
2046C22⋊C4C24×C6112yes—
2047C22⋊C4C24×C6114yes—
2048C22⋊C4C24×C6112yes—
2049C22⋊C4C24×C6114yes—
2050C22⋊C4C24×C6114yes—
2051C22⋊C4C24×C6114yes—
2052C22⋊C4C24×C6114yes—
2053C22⋊C4C24×C6114yes—
2054C22⋊C4C24×C6114yes—
2055C22⋊C4C24×C6114yes—
2056C22⋊C4C24×C6114yes—
2057C22⋊C4C24×C6114yes—
2058C22⋊C4C24×C6112yes—
2059C22⋊C4C24×C6114yes—
2060C22⋊C4C24×C6114yes—
2061C22⋊C4C24×C6114yes—
2062C22⋊C4C24×C6114yes—
2063C22⋊C4C24×C6114yes—
2064C22⋊C4C24×C6114yes—
2065C22⋊C4C24×C6114yes—
2066C22⋊C4C24×C6114yes—
2067C22⋊C4C24×C6114yes—
2068C22⋊C4C24×C6114yes—
2069C22⋊C4C24×C6114yes—
2070C22⋊C4C24×C6114yes—
2071C22⋊C4C24×C6112yes—
2072C22⋊C4C24×C6112yes—
2073C22⋊C4C24×C6112yes—
2074C22⋊C4C24×C6114yes—
2075C22⋊C4C24×C6112yes—
2076C22⋊C4C24×C6114yes—
2077C22⋊C4C24×C6114yes—
2078C22⋊C4C24×C6114yes—
2079C22⋊C4C24×C6112yes—
2080C22⋊C4C24×C6114yes—
2081C22⋊C4C24×C6112yes—
2082C22⋊C4C24×C6112yes—
2083C22⋊C4C24×C6112yes—
2084C22⋊C4C24×C6114yes—
2085C22⋊C4C24×C6112yes—
2086C22⋊C4C24×C6114yes—
2087C22⋊C4C24×C6112yes—
2088C22⋊C4C24×C6114yes—
2089C22⋊C4C24×C6112yes—
2090C22⋊C4C24×C6112yes—
2091C42C24×C6112yes—
2092C42C24×C6112yes—
2093C42C24×C6112yes—
2094C42C24×C6112yes—
2095C42C24×C6114yes—
2096C42C24×C6114yes—
2097C42C24×C6114yes—
2098C42C24×C6112yes—
2099C42C24×C6114yes—
2100C42C24×C6111yescharacteristic
2101C42C24×C6112yes—
2102C42C24×C6112yes—
2103C42C24×C6111yescharacteristic
2104C42C24×C6112yes—
2105C42C24×C6112yes—
2106C42C24×C6112yes—
2107C42C24×C6111yescharacteristic
2108C42C24×C6114yes—
2109C42C24×C6111yescharacteristic
2110C42C24×C6114yes—
2111C42C24×C6114yes—
2112C42C24×C6114yes—
2113C42C24×C6114yes—
2114C23—24no—
2115C23—24no—
2116C23—42no—
2117C23—42no—
2118C23—44no—
2119C23—42no—
2120C23—42no—
2121C23—44no—
2122C23—44no—
2123C23—44no—
2124C23—44no—
2125C23—44no—
2126C23C25×C6112yes—
2127C23C25×C6112yes—
2128C23C25×C6112yes—
2129C23C25×C6114yes—
2130C23C25×C6114yes—
2131C23C25×C6112yes—
2132C23C25×C6111yescharacteristic
2133Q8—24no—
2134Q8—24no—
2135Q8—42no—
2136Q8—44no—
2137Q8—42no—
2138Q8—42no—
2139Q8—41no—
2140Q8—42no—
2141Q8—44no—
2142Q8—42no—
2143Q8—42no—
2144Q8—41no—
2145Q8—42no—
2146D4—24no—
2147D4—28no—
2148D4—24no—
2149D4—22no—
2150D4—24no—
2151D4—24no—
2152D4—22no—
2153D4—44no—
2154D4—44no—
2155D4—42no—
2156D4—44no—
2157D4—42no—
2158D4—44no—
2159D4—44no—
2160D4—44no—
2161D4—44no—
2162D4—44no—
2163D4—41no—
2164D4—44no—
2165D4—42no—
2166D4—42no—
2167D4—44no—
2168D4—44no—
2169D4—44no—
2170D4—44no—
2171D4—42no—
2172D4—42no—
2173D4—44no—
2174D4—44no—
2175D4—44no—
2176D4—44no—
2177D4—41no—
2178D4—44no—
2179C2×C4—22no—
2180C2×C4—22no—
2181C2×C4—22no—
2182C2×C4—22no—
2183C2×C4—24no—
2184C2×C4—24no—
2185C2×C4—41no—
2186C2×C4—44no—
2187C2×C4—42no—
2188C2×C4—42no—
2189C2×C4—41no—
2190C2×C4—42no—
2191C2×C4—42no—
2192C2×C4—42no—
2193C2×C4—44no—
2194C2×C4—44no—
2195C2×C4—44no—
2196C2×C4—44no—
2197C2×C4—42no—
2198C2×C4—44no—
2199C2×C4—44no—
2200C2×C4—44no—
2201C2×C4—41no—
2202C2×C4—44no—
2203C2×C4—44no—
2204C2×C4—42no—
2205C2×C4—44no—
2206C2×C4—44no—
2207C2×C4—44no—
2208C2×C4—44no—
2209C2×C4—44no—
2210C2×C4—42no—
2211C2×C4—42no—
2212C2×C4—42no—
2213C2×C4C25×C6111yescharacteristic
2214C2×C4C25×C6112yes—
2215C2×C4C25×C6111yescharacteristic
2216C2×C4C25×C6112yes—
2217C2×C4C25×C6112yes—
2218C2×C4C25×C6112yes—
2219C2×C4C25×C6114yes—
2220C2×C4C25×C6112yes—
2221C2×C4C25×C6114yes—
2222C2×C4C25×C6112yes—
2223C2×C4C25×C6112yes—
2224C2×C4C25×C6112yes—
2225C2×C4C25×C6114yes—
2226C2×C4C25×C6112yes—
2227C2×C4C25×C6111yescharacteristic
2228C2×C4C25×C6111yescharacteristic
2229C2×C4C25×C6112yes—
2230C2×C4C25×C6112yes—
2231C2×C4C25×C6112yes—
2232C2×C4C25×C6114yes—
2233C2×C4C25×C6111yescharacteristic
2234C2×C4C25×C6111yescharacteristic
2235C22—21no—
2236C22—21no—
2237C22—22no—
2238C22—22no—
2239C22—22no—
2240C22—22no—
2241C22—22no—
2242C22—24no—
2243C22—24no—
2244C22—24no—
2245C22—22no—
2246C22—24no—
2247C22—22no—
2248C22—22no—
2249C22—22no—
2250C22—22no—
2251C22—24no—
2252C22—24no—
2253C22—22no—
2254C22—22no—
2255C22—84no—
2256C22—84no—
2257C22—88no—
2258C22—164no—
2259C22C61×#58512yes—
2260C22C26×C6111yescharacteristic
2261C4—22no—
2262C4—21no—
2263C4—22no—
2264C4—22no—
2265C4—22no—
2266C4—21no—
2267C4—21no—
2268C4—22no—
2269C4—24no—
2270C4—22no—
2271C4—24no—
2272C4—24no—
2273C4—22no—
2274C4—22no—
2275C4—21no—
2276C4—22no—
2277C4—22no—
2278C4—24no—
2279C4—21no—
2280C4—22no—
2281C4—22no—
2282C4C61×#58512yes—
2283C2—22no—
2284C2—42no—
2285C2—44no—
2286C2—42no—
2287C2—44no—
2288C2—42no—
2289C2—42no—
2290C2C2×C61×#58511yescharacteristic
2291C2C2×C61×#58511yescharacteristic
2292C2C61×H(7,𝔽2)11yescharacteristic
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×#3566C2semidirect
2. C61×#3566C2semidirect
3. C61×#3562C2semidirect
4. C61×#3561C2semidirect
5. C61×#3558C2semidirect
6. C61×#3558C2semidirect
7. C61×#3557C2semidirect
8. C61×#3554C2semidirect
9. C61×#3545C2semidirect
10. C61×#3543C2semidirect
11. C61×#3540C2semidirect
12. C61×#3535C2semidirect
13. C61×#3534C2semidirect
14. C61×#3533C2semidirect
15. C61×#3524C2semidirect
16. C61×#3520C2semidirect
17. C61×#3519C2semidirect
18. C61×#3516C2semidirect
19. C61×#3514C2semidirect
20. C61×#3513C2semidirect
21. C61×#3513C2semidirect
22. C61×#3510C2semidirect
23. C61×#3507C2semidirect
24. C61×#3506C2semidirect
25. C61×#3505C2semidirect
26. C61×#3481C2semidirect
27. C2×C61×#559C2semidirect
28. C61×#3461C2semidirect
29. C61×#3459C2semidirect
30. C61×#563C22semidirect
31. C61×#563C22semidirect
32. C61×#563C22semidirect
33. C61×#562C22semidirect
34. C61×#562C22semidirect
35. C61×#562C22semidirect
36. C61×#562C22semidirect
37. C61×#562C22semidirect
38. C61×#562C22semidirect
39. C61×H(3,𝔽4)C22semidirect
40. C61×H(3,𝔽4)C22semidirect
41. C61×#560C22semidirect
42. C61×#560C22semidirect
43. C61×#560C22semidirect
44. C61×#559C22semidirect
45. C61×#559C22semidirect
46. C61×#559C22semidirect
47. C61×#559C22semidirect
48. C61×#559C22semidirect
49. C61×#559C22semidirect
50. C61×#559C22semidirect
51. C61×#559C22semidirect
52. C61×#559C22semidirect
53. C61×#559C22semidirect
54. C61×#559C22semidirect
55. C61×#559C22semidirect
56. C61×#557C22semidirect
57. C61×#557C22semidirect
58. C61×#556C22semidirect
59. C61×#556C22semidirect
60. C61×#556C22semidirect
61. C61×#556C22semidirect
62. C61×#556C22semidirect
63. C61×#556C22semidirect
64. C61×#556C22semidirect
65. C61×#555C22semidirect
66. C61×#555C22semidirect
67. C61×#555C22semidirect
68. C61×#555C22semidirect
69. C61×#554C22semidirect
70. C61×#554C22semidirect
71. C61×#554C22semidirect
72. C61×#554C22semidirect
73. C61×#554C22semidirect
74. C61×#553C22semidirect
75. C61×#553C22semidirect
76. C61×#553C22semidirect
77. C61×#553C22semidirect
78. C61×#553C22semidirect
79. C61×#553C22semidirect
80. C61×#553C22semidirect
81. C61×#553C22semidirect
82. C61×#553C22semidirect
83. C61×#553C22semidirect
84. C61×#552C22semidirect
85. C61×#552C22semidirect
86. C61×#552C22semidirect
87. C61×#552C22semidirect
88. C61×#552C22semidirect
89. C61×#552C22semidirect
90. C61×#552C22semidirect
91. C61×#551C22semidirect
92. C61×#551C22semidirect
93. C61×#551C22semidirect
94. C61×#551C22semidirect
95. C61×#551C22semidirect
96. C61×#551C22semidirect
97. C61×#551C22semidirect
98. C61×#551C22semidirect
99. C61×#551C22semidirect
100. C61×#551C22semidirect
101. C61×#551C22semidirect
102. C61×#551C22semidirect
103. C61×#551C22semidirect
104. C61×#550C22semidirect
105. C61×#550C22semidirect
106. C61×#550C22semidirect
107. D4×Q8×C61C22semidirect
108. D4×Q8×C61C22semidirect
109. C61×#548C22semidirect
110. C61×#548C22semidirect
111. C61×#548C22semidirect
112. C61×#548C22semidirect
113. C61×#548C22semidirect
114. C61×#548C22semidirect
115. C61×#547C22semidirect
116. C61×#547C22semidirect
117. C61×#547C22semidirect
118. C61×#547C22semidirect
119. C61×#546C22semidirect
120. C61×#546C22semidirect
121. C61×#546C22semidirect
122. C61×#546C22semidirect
123. C61×#546C22semidirect
124. C61×#546C22semidirect
125. C61×#546C22semidirect
126. C61×#546C22semidirect
127. C61×#546C22semidirect
128. C61×#546C22semidirect
129. C61×#546C22semidirect
130. C61×#546C22semidirect
131. C61×#546C22semidirect
132. C61×#546C22semidirect
133. D42×C61C22semidirect
134. D42×C61C22semidirect
135. D42×C61C22semidirect
136. D42×C61C22semidirect
137. D42×C61C22semidirect
138. C61×#544C22semidirect
139. C61×#543C22semidirect
140. C61×#542C22semidirect
141. C61×#542C22semidirect
142. C61×#542C22semidirect
143. C61×#542C22semidirect
144. C61×#542C22semidirect
145. C61×#542C22semidirect
146. C61×#542C22semidirect
147. C61×#542C22semidirect
148. C61×#542C22semidirect
149. C61×#542C22semidirect
150. C61×#542C22semidirect
151. C61×#542C22semidirect
152. C61×#542C22semidirect
153. C61×#542C22semidirect
154. C61×#542C22semidirect
155. C61×#541C22semidirect
156. C61×#541C22semidirect
157. C61×#541C22semidirect
158. C61×#541C22semidirect
160. C61×#540C22semidirect
161. C61×#540C22semidirect
162. C61×#540C22semidirect
163. C61×#540C22semidirect
164. C61×#540C22semidirect
165. C61×#539C22semidirect
166. C61×#539C22semidirect
167. C61×#539C22semidirect
168. C61×#539C22semidirect
169. C61×#539C22semidirect
170. C61×#539C22semidirect
171. C61×#539C22semidirect
172. C61×#539C22semidirect
173. C61×#539C22semidirect
174. C61×#539C22semidirect
175. C61×#539C22semidirect
176. C61×#539C22semidirect
177. C61×#538C22semidirect
178. C61×#538C22semidirect
179. C61×#538C22semidirect
180. C61×#538C22semidirect
181. C61×#538C22semidirect
182. C61×#538C22semidirect
183. C61×#538C22semidirect
184. C61×#538C22semidirect
185. C61×#538C22semidirect
186. C61×#538C22semidirect
187. C61×#538C22semidirect
188. C61×#538C22semidirect
189. C61×#538C22semidirect
190. C61×#538C22semidirect
192. C61×#536C22semidirect
193. C61×#536C22semidirect
194. C61×#536C22semidirect
195. C61×#536C22semidirect
197. C61×#535C22semidirect
198. C61×#535C22semidirect
199. C61×#535C22semidirect
200. C61×#534C22semidirect
201. C61×#534C22semidirect
202. C61×#534C22semidirect
203. C61×#534C22semidirect
204. C61×#533C22semidirect
205. C61×#533C22semidirect
206. C61×#533C22semidirect
208. C61×#532C22semidirect
209. C61×#532C22semidirect
211. C61×#529C22semidirect
212. C61×#529C22semidirect
213. C61×#529C22semidirect
214. C61×#529C22semidirect
215. C61×#529C22semidirect
216. C61×#529C22semidirect
217. C61×#529C22semidirect
218. C61×#529C22semidirect
219. C61×#529C22semidirect
220. C61×#529C22semidirect
221. C61×#529C22semidirect
222. C61×#529C22semidirect
223. C61×#529C22semidirect
224. C61×#529C22semidirect
225. C61×#529C22semidirect
226. C61×#529C22semidirect
227. C61×#529C22semidirect
228. C2×#124×C61C22semidirect
229. C2×#124×C61C22semidirect
230. C2×#124×C61C22semidirect
231. C2×#124×C61C22semidirect
232. C61×#525C22semidirect
233. C61×#525C22semidirect
234. C61×#525C22semidirect
235. C61×#525C22semidirect
236. C61×#525C22semidirect
237. C61×#525C22semidirect
238. C61×#525C22semidirect
239. C2×#123×C61C22semidirect
240. C2×#123×C61C22semidirect
241. C2×#123×C61C22semidirect
242. C2×C22⋊Q8×C61C22semidirect
243. C2×#121×C61C22semidirect
244. C61×#520C22semidirect
245. C61×#520C22semidirect
246. C61×#520C22semidirect
247. C61×#519C22semidirect
248. C61×#518C22semidirect
249. C61×#518C22semidirect
250. C4×#41×C61C22semidirect
251. C4×#41×C61C22semidirect
252. C2×C4×Q8×C61C22semidirect
253. C2×C4×Q8×C61C22semidirect
254. C2×C4×D4×C61C22semidirect
255. C2×C4×D4×C61C22semidirect
256. C2×C4×D4×C61C22semidirect
257. C2×C4×D4×C61C22semidirect
258. C2×C4×D4×C61C22semidirect
1088. #62965C61direct (N × H)
1137. #3566C2×C61semidirect
1138. #3566C2×C61semidirect
1139. #3562C2×C61semidirect
1140. #3561C2×C61semidirect
1141. #3558C2×C61semidirect
1142. #3558C2×C61semidirect
1143. #3557C2×C61semidirect
1144. #3554C2×C61semidirect
1145. #3545C2×C61semidirect
1146. #3543C2×C61semidirect
1147. #3540C2×C61semidirect
1148. #3535C2×C61semidirect
1149. #3534C2×C61semidirect
1150. #3533C2×C61semidirect
1151. #3524C2×C61semidirect
1152. #3520C2×C61semidirect
1153. #3519C2×C61semidirect
1154. #3516C2×C61semidirect
1155. #3514C2×C61semidirect
1156. #3513C2×C61semidirect
1157. #3513C2×C61semidirect
1158. #3510C2×C61semidirect
1159. #3507C2×C61semidirect
1160. #3506C2×C61semidirect
1161. #3505C2×C61semidirect
1162. #3481C2×C61semidirect
1163. C2×#559C2×C61semidirect
1164. #3461C2×C61semidirect
1165. #3459C2×C61semidirect
1176. #563C22×C61semidirect
1177. #563C22×C61semidirect
1178. #563C22×C61semidirect
1179. #562C22×C61semidirect
1180. #562C22×C61semidirect
1181. #562C22×C61semidirect
1182. #562C22×C61semidirect
1183. #562C22×C61semidirect
1184. #562C22×C61semidirect
1185. H(3,𝔽4)C22×C61semidirect
1186. H(3,𝔽4)C22×C61semidirect
1187. #560C22×C61semidirect
1188. #560C22×C61semidirect
1189. #560C22×C61semidirect
1190. #559C22×C61semidirect
1191. #559C22×C61semidirect
1192. #559C22×C61semidirect
1193. #559C22×C61semidirect
1194. #559C22×C61semidirect
1195. #559C22×C61semidirect
1196. #559C22×C61semidirect
1197. #559C22×C61semidirect
1198. #559C22×C61semidirect
1199. #559C22×C61semidirect
1200. #559C22×C61semidirect
1201. #559C22×C61semidirect
1202. #557C22×C61semidirect
1203. #557C22×C61semidirect
1204. #556C22×C61semidirect
1205. #556C22×C61semidirect
1206. #556C22×C61semidirect
1207. #556C22×C61semidirect
1208. #556C22×C61semidirect
1209. #556C22×C61semidirect
1210. #556C22×C61semidirect
1211. #555C22×C61semidirect
1212. #555C22×C61semidirect
1213. #555C22×C61semidirect
1214. #555C22×C61semidirect
1215. #554C22×C61semidirect
1216. #554C22×C61semidirect
1217. #554C22×C61semidirect
1218. #554C22×C61semidirect
1219. #554C22×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
1228. #553C22×C61semidirect
1229. #553C22×C61semidirect
1230. #552C22×C61semidirect
1231. #552C22×C61semidirect
1232. #552C22×C61semidirect
1233. #552C22×C61semidirect
1234. #552C22×C61semidirect
1235. #552C22×C61semidirect
1236. #552C22×C61semidirect
1237. #551C22×C61semidirect
1238. #551C22×C61semidirect
1239. #551C22×C61semidirect
1240. #551C22×C61semidirect
1241. #551C22×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. #550C22×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. #547C22×C61semidirect
1262. #547C22×C61semidirect
1263. #547C22×C61semidirect
1264. #547C22×C61semidirect
1265. #546C22×C61semidirect
1266. #546C22×C61semidirect
1267. #546C22×C61semidirect
1268. #546C22×C61semidirect
1269. #546C22×C61semidirect
1270. #546C22×C61semidirect
1271. #546C22×C61semidirect
1272. #546C22×C61semidirect
1273. #546C22×C61semidirect
1274. #546C22×C61semidirect
1275. #546C22×C61semidirect
1276. #546C22×C61semidirect
1277. #546C22×C61semidirect
1278. #546C22×C61semidirect
1279. D42C22×C61semidirect
1280. D42C22×C61semidirect
1281. D42C22×C61semidirect
1282. D42C22×C61semidirect
1283. D42C22×C61semidirect
1284. #544C22×C61semidirect
1285. #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. #542C22×C61semidirect
1298. #542C22×C61semidirect
1299. #542C22×C61semidirect
1300. #542C22×C61semidirect
1301. #541C22×C61semidirect
1302. #541C22×C61semidirect
1303. #541C22×C61semidirect
1304. #541C22×C61semidirect
1306. #540C22×C61semidirect
1307. #540C22×C61semidirect
1308. #540C22×C61semidirect
1309. #540C22×C61semidirect
1310. #540C22×C61semidirect
1311. #539C22×C61semidirect
1312. #539C22×C61semidirect
1313. #539C22×C61semidirect
1314. #539C22×C61semidirect
1315. #539C22×C61semidirect
1316. #539C22×C61semidirect
1317. #539C22×C61semidirect
1318. #539C22×C61semidirect
1319. #539C22×C61semidirect
1320. #539C22×C61semidirect
1321. #539C22×C61semidirect
1322. #539C22×C61semidirect
1323. #538C22×C61semidirect
1324. #538C22×C61semidirect
1325. #538C22×C61semidirect
1326. #538C22×C61semidirect
1327. #538C22×C61semidirect
1328. #538C22×C61semidirect
1329. #538C22×C61semidirect
1330. #538C22×C61semidirect
1331. #538C22×C61semidirect
1332. #538C22×C61semidirect
1333. #538C22×C61semidirect
1334. #538C22×C61semidirect
1335. #538C22×C61semidirect
1336. #538C22×C61semidirect
1338. #536C22×C61semidirect
1339. #536C22×C61semidirect
1340. #536C22×C61semidirect
1341. #536C22×C61semidirect
1343. #535C22×C61semidirect
1344. #535C22×C61semidirect
1345. #535C22×C61semidirect
1346. #534C22×C61semidirect
1347. #534C22×C61semidirect
1348. #534C22×C61semidirect
1349. #534C22×C61semidirect
1350. #533C22×C61semidirect
1351. #533C22×C61semidirect
1352. #533C22×C61semidirect
1354. #532C22×C61semidirect
1355. #532C22×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. #529C22×C61semidirect
1371. #529C22×C61semidirect
1372. #529C22×C61semidirect
1373. #529C22×C61semidirect
1374. C2×#124C22×C61semidirect
1375. C2×#124C22×C61semidirect
1376. C2×#124C22×C61semidirect
1377. C2×#124C22×C61semidirect
1378. #525C22×C61semidirect
1379. #525C22×C61semidirect
1380. #525C22×C61semidirect
1381. #525C22×C61semidirect
1382. #525C22×C61semidirect
1383. #525C22×C61semidirect
1384. #525C22×C61semidirect
1385. C2×#123C22×C61semidirect
1386. C2×#123C22×C61semidirect
1387. C2×#123C22×C61semidirect
1388. C2×C22⋊Q8C22×C61semidirect
1389. C2×#121C22×C61semidirect
1390. #520C22×C61semidirect
1391. #520C22×C61semidirect
1392. #520C22×C61semidirect
1393. #519C22×C61semidirect
1394. #518C22×C61semidirect
1395. #518C22×C61semidirect
1396. C4×#41C22×C61semidirect
1397. C4×#41C22×C61semidirect
1398. C2×C4×Q8C22×C61semidirect
1399. C2×C4×Q8C22×C61semidirect
1400. C2×C4×D4C22×C61semidirect
1401. C2×C4×D4C22×C61semidirect
1402. C2×C4×D4C22×C61semidirect
1403. C2×C4×D4C22×C61semidirect
1404. C2×C4×D4C22×C61semidirect
1405. C61#62965direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#35662
C61×#35622
C61×#35612
C61×#35582
C61×#35572
C61×#35542
C61×#35452
C61×#35432
C61×#35402
C61×#35352
C61×#35342
C61×#35332
C61×#35242
C61×#35202
C61×#35192
C61×#35162
C61×#35142
C61×#35132
C61×#35102
C61×#35072
C61×#35062
C61×#35052
C61×#34812
C2×C61×#5592
C61×#34612
C61×#34592
#6296561