Finite Group Databasebeta

← C61×#63055 #29566488

Subgroups — C61×#63055 #29566488

Order 15616.

6730 conjugacy classes of subgroups.

The subgroup lattice has 1862 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3567C212yesmaximal, complemented
2C61×#3566C214yesmaximal, complemented
3C61×#3566C214yesmaximal, complemented
4C61×#3562C214yesmaximal, complemented
5C61×#3558C212yesmaximal, complemented
6C61×#3558C212yesmaximal, complemented
7C61×#3553C211yesmaximal, characteristic, complemented
8C61×#3545C212yesmaximal, complemented
9C61×#3542C214yesmaximal, complemented
10C61×#3541C214yesmaximal, complemented
11C61×#3537C214yesmaximal, complemented
12C61×#3534C214yesmaximal, complemented
13C61×#3534C214yesmaximal, complemented
14C61×#3533C214yesmaximal, complemented
15C61×#3529C212yesmaximal, complemented
16C2×C61×#562C211yesmaximal, characteristic, complemented
17C61×#3519C214yesmaximal, complemented
18C61×#3514C212yesmaximal, complemented
19C61×#3513C214yesmaximal, complemented
20C61×#3512C211yesmaximal, characteristic, complemented
21C61×#3505C214yesmaximal, complemented
22C61×#564C2211yescharacteristic, complemented
23C61×#563C2212yescomplemented
24C61×#563C2214yescomplemented
25C61×#563C2214yescomplemented
26C61×#562C2211yescharacteristic, complemented
27C61×#562C2212yescomplemented
28C61×#562C2211yescharacteristic, complemented
29C61×#562C2212yescomplemented
30C61×#562C2212yescomplemented
31C61×#562C2214yescomplemented
32C61×#562C2214yescomplemented
33C61×#562C2214yescomplemented
34C61×#562C2214yescomplemented
35C61×#562C2214yescomplemented
36C61×#562C2214yescomplemented
37C61×#562C2211yescharacteristic, complemented
38C61×#562C2214yescomplemented
39C61×H(3,𝔽4)C2212yescomplemented
40C61×H(3,𝔽4)C2212yescomplemented
41C61×#560C2214yescomplemented
42C61×#560C2214yescomplemented
43C61×#560C2214yescomplemented
44C61×#560C2214yescomplemented
45C61×#560C2214yescomplemented
46C61×#560C2214yescomplemented
47C61×#559C2214yescomplemented
48C61×#559C2214yescomplemented
49C61×#559C2212yescomplemented
50C61×#556C2214yescomplemented
51C61×#556C2212yescomplemented
52C61×#555C2214yescomplemented
53C61×#555C2214yescomplemented
54C61×#554C2214yescomplemented
55C61×#554C2214yescomplemented
56C61×#553C2214yescomplemented
57C61×#553C2214yescomplemented
58C61×#553C2214yescomplemented
59C61×#553C2214yescomplemented
60C61×#553C2214yescomplemented
61C61×#553C2214yescomplemented
62C61×#553C2214yescomplemented
63C61×#553C2214yescomplemented
64C61×#553C2214yescomplemented
65C61×#553C2214yescomplemented
66C61×#553C2214yescomplemented
67C61×#553C2214yescomplemented
68C61×#553C2214yescomplemented
69C61×#553C2214yescomplemented
70C61×#552C2214yescomplemented
71C61×#552C2214yescomplemented
72C61×#552C2214yescomplemented
73C61×#552C2214yescomplemented
74C61×#552C2214yescomplemented
75C61×#552C2214yescomplemented
76C61×#551C2214yescomplemented
77C61×#551C2214yescomplemented
78C61×#551C2214yescomplemented
79C61×#551C2214yescomplemented
80C61×#551C2214yescomplemented
81C61×#551C2214yescomplemented
82C61×#551C2214yescomplemented
83C61×#551C2214yescomplemented
84C61×#551C2214yescomplemented
85C61×#551C2214yescomplemented
86C61×#550C2214yescomplemented
87D4×Q8×C61C2212yescomplemented
88C61×#548C2214yescomplemented
89C61×#548C2214yescomplemented
90C61×#548C2212yescomplemented
91C61×#548C2212yescomplemented
92C61×#547C2214yescomplemented
93C61×#547C2214yescomplemented
94C61×#546C2214yescomplemented
95C61×#546C2214yescomplemented
96C61×#546C2214yescomplemented
97C61×#546C2214yescomplemented
98C61×#546C2214yescomplemented
99C61×#546C2214yescomplemented
100C61×#546C2214yescomplemented
101C61×#546C2214yescomplemented
102C61×#546C2214yescomplemented
103C61×#546C2214yescomplemented
104C61×#546C2214yescomplemented
105C61×#546C2212yescomplemented
106C61×#546C2214yescomplemented
107C61×#546C2212yescomplemented
108C61×#546C2214yescomplemented
109D42×C61C2214yescomplemented
110D42×C61C2214yescomplemented
111D42×C61C2214yescomplemented
112D42×C61C2212yescomplemented
113D42×C61C2214yescomplemented
114D42×C61C2214yescomplemented
115D42×C61C2214yescomplemented
116C61×#542C2214yescomplemented
117C61×#542C2214yescomplemented
118C61×#542C2214yescomplemented
119C61×#542C2214yescomplemented
120C61×#542C2214yescomplemented
121C61×#542C2214yescomplemented
122C61×#541C2214yescomplemented
123C61×#541C2212yescomplemented
124C61×#541C2214yescomplemented
125C61×#540C2214yescomplemented
126C61×#540C2214yescomplemented
127C61×#540C2214yescomplemented
128C61×#540C2214yescomplemented
129C61×#540C2214yescomplemented
130C61×#540C2214yescomplemented
131C61×#540C2212yescomplemented
132C61×#540C2214yescomplemented
133C61×#539C2214yescomplemented
134C61×#539C2214yescomplemented
135C61×#539C2214yescomplemented
136C61×#539C2214yescomplemented
137C61×#539C2214yescomplemented
138C61×#539C2214yescomplemented
139C61×#539C2214yescomplemented
140C61×#539C2214yescomplemented
141C61×#539C2214yescomplemented
142C61×#538C2214yescomplemented
143C61×#538C2214yescomplemented
144C61×#538C2214yescomplemented
145C61×#538C2214yescomplemented
146C61×#538C2214yescomplemented
147C61×#538C2214yescomplemented
148C61×#538C2214yescomplemented
149C61×#538C2214yescomplemented
150C61×#538C2214yescomplemented
151C61×#538C2214yescomplemented
152C61×#538C2214yescomplemented
153C61×#538C2214yescomplemented
154C61×#538C2214yescomplemented
155C61×#538C2214yescomplemented
156C61×#538C2214yescomplemented
157C61×#538C2214yescomplemented
158C61×#537C2212yescomplemented
159C61×#537C2214yescomplemented
160C61×#536C2214yescomplemented
161C61×#535C2214yescomplemented
162C61×#535C2214yescomplemented
163C61×#535C2214yescomplemented
164C61×#534C2214yescomplemented
165C61×#534C2214yescomplemented
166C61×#534C2214yescomplemented
167C61×#534C2214yescomplemented
168C61×#534C2214yescomplemented
169C61×#534C2214yescomplemented
170C61×#532C2211yescharacteristic, complemented
171C61×#532C2212yescomplemented
172C61×#532C2214yescomplemented
173C61×#529C2212yescomplemented
174C61×#529C2212yescomplemented
175C61×#529C2212yescomplemented
176C61×#529C2212yescomplemented
177C61×#529C2214yescomplemented
178C61×#529C2214yescomplemented
179C61×#529C2214yescomplemented
180C61×#529C2214yescomplemented
181C61×#529C2214yescomplemented
182C61×#529C2212yescomplemented
183C2×#125×C61C2211yescharacteristic, complemented
184C2×#124×C61C2212yescomplemented
185C2×#124×C61C2212yescomplemented
186C61×#525C2214yescomplemented
187C61×#525C2214yescomplemented
188C61×#525C2214yescomplemented
189C61×#525C2214yescomplemented
190C61×#525C2214yescomplemented
191C61×#525C2214yescomplemented
192C2×#123×C61C2214yescomplemented
193C2×#123×C61C2214yescomplemented
194C2×C22⋊Q8×C61C2214yescomplemented
195C2×#121×C61C2214yescomplemented
196C2×#121×C61C2214yescomplemented
197C2×#121×C61C2214yescomplemented
198C61×#520C2212yescomplemented
199C61×#518C2214yescomplemented
200C61×#518C2214yescomplemented
201C4×#41×C61C2211yescharacteristic, complemented
202C2×C4×D4×C61C2214yescomplemented
203C2×#41×C61C2312yes—
204C2×#41×C61C2311yescharacteristic
205C2×#41×C61C2312yes—
206C2×#41×C61C2312yes—
207C2×#41×C61C2314yes—
208C2×#41×C61C2314yes—
209C2×#41×C61C2314yes—
210C2×#41×C61C2314yes—
211C22×Q8×C61C2312yes—
212C22×Q8×C61C2312yes—
213C22×D4×C61C2314yes—
214C22×D4×C61C2314yes—
215C22×D4×C61C2314yes—
216C22×D4×C61C2312yes—
217C22×D4×C61C2314yes—
218C22×D4×C61C2314yes—
219C22×D4×C61C2314yes—
220C22×D4×C61C2314yes—
221C22×D4×C61C2314yes—
222C22×D4×C61C2314yes—
223C22×D4×C61C2312yes—
224C23×C4×C61C2314yes—
225C23×C4×C61C2314yes—
226C4⋊Q8×C61C2314yes—
227C4⋊Q8×C61C2311yescharacteristic
228C4⋊Q8×C61C2312yes—
229C4⋊Q8×C61C2314yes—
230C4⋊Q8×C61C2314yes—
231#127×C61C2311yescharacteristic
232#127×C61C2312yes—
233#127×C61C2314yes—
234#127×C61C2314yes—
235#127×C61C2314yes—
236#127×C61C2314yes—
237#126×C61C2314yes—
238#126×C61C2314yes—
239#126×C61C2314yes—
240#126×C61C2314yes—
241#126×C61C2314yes—
242#126×C61C2314yes—
243#126×C61C2314yes—
244#126×C61C2314yes—
245#126×C61C2314yes—
246#126×C61C2314yes—
247#126×C61C2314yes—
248#126×C61C2314yes—
249#126×C61C2314yes—
250#126×C61C2314yes—
251#126×C61C2314yes—
252#126×C61C2314yes—
253#126×C61C2314yes—
254#126×C61C2314yes—
255#126×C61C2314yes—
256#126×C61C2314yes—
257#126×C61C2314yes—
258#126×C61C2314yes—
259#126×C61C2314yes—
260#126×C61C2314yes—
261#126×C61C2314yes—
262#125×C61C2314yes—
263#125×C61C2314yes—
264#125×C61C2314yes—
265#125×C61C2314yes—
266#125×C61C2314yes—
267#125×C61C2314yes—
268#125×C61C2314yes—
269#125×C61C2314yes—
270#125×C61C2314yes—
271#125×C61C2314yes—
272#125×C61C2314yes—
273#125×C61C2314yes—
274#125×C61C2314yes—
275#125×C61C2312yes—
276#125×C61C2311yescharacteristic
277#125×C61C2311yescharacteristic
278#125×C61C2312yes—
279#124×C61C2314yes—
280#124×C61C2314yes—
281#124×C61C2312yes—
282#124×C61C2312yes—
283#124×C61C2312yes—
284#124×C61C2314yes—
285#124×C61C2314yes—
286#124×C61C2314yes—
287#124×C61C2314yes—
288#124×C61C2314yes—
289#124×C61C2314yes—
290#124×C61C2314yes—
291#124×C61C2314yes—
292#124×C61C2314yes—
293#124×C61C2314yes—
294#124×C61C2312yes—
295#124×C61C2312yes—
296#124×C61C2312yes—
297#124×C61C2312yes—
298#124×C61C2314yes—
299#124×C61C2314yes—
300#124×C61C2314yes—
301#124×C61C2314yes—
302#124×C61C2314yes—
303#124×C61C2314yes—
304#124×C61C2314yes—
305#124×C61C2312yes—
306#123×C61C2314yes—
307#123×C61C2314yes—
308#123×C61C2314yes—
309#123×C61C2314yes—
310#123×C61C2314yes—
311#123×C61C2314yes—
312#123×C61C2314yes—
313#123×C61C2314yes—
314#123×C61C2314yes—
315#123×C61C2314yes—
316#123×C61C2314yes—
317#123×C61C2314yes—
318#123×C61C2314yes—
319#123×C61C2314yes—
320#123×C61C2314yes—
321#123×C61C2314yes—
322#123×C61C2314yes—
323#123×C61C2314yes—
324#123×C61C2314yes—
325#123×C61C2314yes—
326#123×C61C2314yes—
327#123×C61C2314yes—
328#123×C61C2314yes—
329#123×C61C2314yes—
330#123×C61C2314yes—
331#123×C61C2314yes—
332#123×C61C2314yes—
333#123×C61C2314yes—
334#123×C61C2314yes—
335#123×C61C2314yes—
336#123×C61C2314yes—
337#123×C61C2314yes—
338#123×C61C2314yes—
339#123×C61C2314yes—
340#123×C61C2314yes—
341#123×C61C2314yes—
342#123×C61C2314yes—
343#123×C61C2314yes—
344#123×C61C2314yes—
345#123×C61C2314yes—
346#123×C61C2314yes—
347#123×C61C2314yes—
348#123×C61C2314yes—
349#123×C61C2314yes—
350#123×C61C2314yes—
351#123×C61C2314yes—
352#123×C61C2314yes—
353#123×C61C2314yes—
354#123×C61C2314yes—
355#123×C61C2314yes—
356#123×C61C2314yes—
357C22⋊Q8×C61C2314yes—
358C22⋊Q8×C61C2314yes—
359C22⋊Q8×C61C2314yes—
360C22⋊Q8×C61C2314yes—
361C22⋊Q8×C61C2312yes—
362C22⋊Q8×C61C2314yes—
363C22⋊Q8×C61C2314yes—
364C22⋊Q8×C61C2314yes—
365C22⋊Q8×C61C2314yes—
366C22⋊Q8×C61C2312yes—
367C22⋊Q8×C61C2314yes—
368C22⋊Q8×C61C2312yes—
369C22⋊Q8×C61C2314yes—
370C22⋊Q8×C61C2314yes—
371C22⋊Q8×C61C2314yes—
372C22⋊Q8×C61C2314yes—
373C22⋊Q8×C61C2314yes—
374C22⋊Q8×C61C2314yes—
375C22⋊Q8×C61C2314yes—
376C22⋊Q8×C61C2314yes—
377C22⋊Q8×C61C2314yes—
378C22⋊Q8×C61C2312yes—
379C22⋊Q8×C61C2312yes—
380C22⋊Q8×C61C2314yes—
381C22⋊Q8×C61C2314yes—
382C22⋊Q8×C61C2314yes—
383C22⋊Q8×C61C2314yes—
384C22⋊Q8×C61C2314yes—
385C22⋊Q8×C61C2314yes—
386C22⋊Q8×C61C2314yes—
387C22⋊Q8×C61C2314yes—
388C22⋊Q8×C61C2314yes—
389C22⋊Q8×C61C2314yes—
390C22⋊Q8×C61C2314yes—
391C22⋊Q8×C61C2314yes—
392#121×C61C2314yes—
393#121×C61C2314yes—
394#121×C61C2314yes—
395#121×C61C2314yes—
396#121×C61C2314yes—
397#121×C61C2314yes—
398#121×C61C2314yes—
399#121×C61C2314yes—
400#121×C61C2312yes—
401#121×C61C2312yes—
402#121×C61C2314yes—
403#121×C61C2314yes—
404#121×C61C2314yes—
405#121×C61C2314yes—
406#121×C61C2314yes—
407#121×C61C2314yes—
408#121×C61C2314yes—
409#121×C61C2314yes—
410#121×C61C2314yes—
411#121×C61C2314yes—
412#121×C61C2314yes—
413#121×C61C2314yes—
414#121×C61C2314yes—
415#121×C61C2314yes—
416#121×C61C2314yes—
417#121×C61C2314yes—
418#121×C61C2314yes—
419#121×C61C2314yes—
420#121×C61C2314yes—
421#121×C61C2314yes—
422#121×C61C2314yes—
423#121×C61C2314yes—
424#121×C61C2314yes—
425#121×C61C2314yes—
426#121×C61C2314yes—
427#121×C61C2314yes—
428#121×C61C2314yes—
429#121×C61C2314yes—
430#121×C61C2314yes—
431#121×C61C2314yes—
432#121×C61C2314yes—
433#121×C61C2314yes—
434#121×C61C2312yes—
435#121×C61C2314yes—
436#121×C61C2314yes—
437#121×C61C2314yes—
438#121×C61C2314yes—
439#121×C61C2314yes—
440#121×C61C2314yes—
441#121×C61C2314yes—
442#121×C61C2314yes—
443#121×C61C2314yes—
444#121×C61C2314yes—
445#121×C61C2314yes—
446#121×C61C2314yes—
447#121×C61C2314yes—
448#121×C61C2314yes—
449#121×C61C2314yes—
450#121×C61C2312yes—
451#121×C61C2312yes—
452#121×C61C2314yes—
453#121×C61C2314yes—
454#121×C61C2314yes—
455#121×C61C2314yes—
456#120×C61C2314yes—
457#120×C61C2314yes—
458#120×C61C2314yes—
459#120×C61C2314yes—
460#120×C61C2314yes—
461#120×C61C2314yes—
462#120×C61C2314yes—
463#120×C61C2314yes—
464#120×C61C2314yes—
465#120×C61C2314yes—
466#120×C61C2314yes—
467#120×C61C2314yes—
468#120×C61C2314yes—
469#120×C61C2314yes—
470#120×C61C2314yes—
471#120×C61C2314yes—
472#120×C61C2314yes—
473#120×C61C2314yes—
474#120×C61C2314yes—
475#120×C61C2314yes—
476#120×C61C2314yes—
477#120×C61C2314yes—
478#120×C61C2314yes—
479#120×C61C2314yes—
480C4×Q8×C61C2312yes—
481C4×Q8×C61C2312yes—
482C4×Q8×C61C2314yes—
483C4×Q8×C61C2314yes—
484C4×Q8×C61C2314yes—
485C4×Q8×C61C2312yes—
486C4×Q8×C61C2312yes—
487C4×Q8×C61C2312yes—
488C4×Q8×C61C2312yes—
489C4×D4×C61C2314yes—
490C4×D4×C61C2314yes—
491C4×D4×C61C2314yes—
492C4×D4×C61C2314yes—
493C4×D4×C61C2314yes—
494C4×D4×C61C2314yes—
495C4×D4×C61C2314yes—
496C4×D4×C61C2312yes—
497C4×D4×C61C2312yes—
498C4×D4×C61C2312yes—
499C4×D4×C61C2312yes—
500C4×D4×C61C2314yes—
501C4×D4×C61C2314yes—
502C4×D4×C61C2314yes—
503C4×D4×C61C2314yes—
504C4×D4×C61C2314yes—
505C4×D4×C61C2314yes—
506C4×D4×C61C2314yes—
507C4×D4×C61C2314yes—
508C4×D4×C61C2314yes—
509C4×D4×C61C2314yes—
510C4×D4×C61C2314yes—
511C4×D4×C61C2314yes—
512C4×D4×C61C2314yes—
513C4×D4×C61C2314yes—
514C4×D4×C61C2314yes—
515C4×D4×C61C2314yes—
516C4×D4×C61C2314yes—
517C4×D4×C61C2314yes—
518C4×D4×C61C2314yes—
519C4×D4×C61C2314yes—
520C4×D4×C61C2312yes—
521C4×D4×C61C2314yes—
522C4×D4×C61C2314yes—
523C4×D4×C61C2314yes—
524C4×D4×C61C2314yes—
525C4×D4×C61C2314yes—
526C4×D4×C61C2314yes—
527C4×D4×C61C2314yes—
528C4×D4×C61C2314yes—
529C4×D4×C61C2314yes—
530C4×D4×C61C2314yes—
531C4×D4×C61C2314yes—
532C4×D4×C61C2312yes—
533C4×D4×C61C2312yes—
534C4×D4×C61C2314yes—
535C4×D4×C61C2314yes—
536C4×D4×C61C2312yes—
537C4×D4×C61C2314yes—
538#117×C61C2314yes—
539#117×C61C2314yes—
540#117×C61C2314yes—
541#117×C61C2314yes—
542#117×C61C2314yes—
543#117×C61C2312yes—
544#117×C61C2314yes—
545#117×C61C2314yes—
546#117×C61C2314yes—
547#117×C61C2314yes—
548#117×C61C2314yes—
549#117×C61C2314yes—
550#117×C61C2314yes—
551#117×C61C2311yescharacteristic
552#117×C61C2314yes—
553#117×C61C2314yes—
554#117×C61C2314yes—
555C2×C4⋊C4×C61C2312yes—
556C2×C4⋊C4×C61C2314yes—
557C2×C4⋊C4×C61C2314yes—
558C2×C4⋊C4×C61C2314yes—
559C2×C4⋊C4×C61C2314yes—
560C2×C4⋊C4×C61C2314yes—
561C2×C4⋊C4×C61C2314yes—
562C2×C4⋊C4×C61C2314yes—
563C2×C22⋊C4×C61C2314yes—
564C2×C22⋊C4×C61C2314yes—
565C2×C22⋊C4×C61C2314yes—
566C2×C22⋊C4×C61C2314yes—
567C2×C22⋊C4×C61C2314yes—
568C2×C22⋊C4×C61C2314yes—
569C2×C22⋊C4×C61C2314yes—
570C2×C22⋊C4×C61C2314yes—
571C2×C22⋊C4×C61C2314yes—
572C2×C22⋊C4×C61C2314yes—
573C2×C22⋊C4×C61C2314yes—
574C2×C22⋊C4×C61C2314yes—
575C2×C22⋊C4×C61C2314yes—
576C2×C22⋊C4×C61C2314yes—
577C2×C42×C61C2314yes—
578C2×C42×C61C2311yescharacteristic
579C2×C42×C61C2312yes—
580C24×C61C2414yes—
581C24×C61C2414yes—
582C24×C61C2414yes—
583C24×C61C2414yes—
584#41×C61—44no—
585#41×C61—42no—
586#41×C61—82no—
587#41×C61—84no—
588#41×C61—84no—
589#41×C61—84no—
590#41×C61—84no—
591#41×C61—82no—
592C2×Q8×C61—82no—
593C2×Q8×C61—82no—
594C2×Q8×C61C2411yescharacteristic
595C2×Q8×C61C2412yes—
596C2×Q8×C61C2412yes—
597C2×Q8×C61C2412yes—
598C2×Q8×C61C2414yes—
599C2×Q8×C61C2414yes—
600C2×Q8×C61C2414yes—
601C2×Q8×C61C2412yes—
602C2×D4×C61—48no—
603C2×D4×C61—48no—
604C2×D4×C61—48no—
605C2×D4×C61—84no—
606C2×D4×C61—84no—
607C2×D4×C61—84no—
608C2×D4×C61—82no—
609C2×D4×C61—82no—
610C2×D4×C61—84no—
611C2×D4×C61—84no—
612C2×D4×C61—84no—
613C2×D4×C61C2412yes—
614C2×D4×C61C2414yes—
615C2×D4×C61C2414yes—
616C2×D4×C61C2411yescharacteristic
617C2×D4×C61C2412yes—
618C2×D4×C61C2414yes—
619C2×D4×C61C2414yes—
620C2×D4×C61C2414yes—
621C2×D4×C61C2414yes—
622C2×D4×C61C2414yes—
623C2×D4×C61C2414yes—
624C2×D4×C61C2414yes—
625C2×D4×C61C2412yes—
626C2×D4×C61C2414yes—
627C2×D4×C61C2414yes—
628C2×D4×C61C2414yes—
629C2×D4×C61C2414yes—
630C2×D4×C61C2414yes—
631C2×D4×C61C2414yes—
632C2×D4×C61C2414yes—
633C2×D4×C61C2414yes—
634C2×D4×C61C2414yes—
635C2×D4×C61C2414yes—
636C2×D4×C61C2412yes—
637C2×D4×C61C2414yes—
638C2×D4×C61C2412yes—
639C2×D4×C61C2414yes—
640C2×D4×C61C2414yes—
641C2×D4×C61C2414yes—
642C2×D4×C61C2414yes—
643C2×D4×C61C2414yes—
644C2×D4×C61C2414yes—
645C2×D4×C61C2414yes—
646C2×D4×C61C2414yes—
647C22×C4×C61—84no—
648C22×C4×C61—84no—
649C22×C4×C61C2411yescharacteristic
650C22×C4×C61C2412yes—
651C22×C4×C61C2412yes—
652C22×C4×C61C2414yes—
653C22×C4×C61C2412yes—
654C22×C4×C61C2414yes—
655C22×C4×C61C2412yes—
656C22×C4×C61C2414yes—
657C22×C4×C61C2414yes—
658C22×C4×C61C2414yes—
659C22×C4×C61C2414yes—
660C22×C4×C61C2414yes—
661C22×C4×C61C2414yes—
662C22×C4×C61C2414yes—
663C22×C4×C61C2414yes—
664C22×C4×C61C2414yes—
665C22×C4×C61C2414yes—
666C22×C4×C61C2414yes—
667C22×C4×C61C2414yes—
668C22×C4×C61C2414yes—
669C22×C4×C61C2414yes—
670C22×C4×C61C2414yes—
671C22×C4×C61C2414yes—
672C22×C4×C61C2414yes—
673C22×C4×C61C2414yes—
674C22×C4×C61C2414yes—
675C4⋊C4×C61C2412yes—
676C4⋊C4×C61C2414yes—
677C4⋊C4×C61C2414yes—
678C4⋊C4×C61C2414yes—
679C4⋊C4×C61C2414yes—
680C4⋊C4×C61C2414yes—
681C4⋊C4×C61C2414yes—
682C4⋊C4×C61C2414yes—
683C4⋊C4×C61C2414yes—
684C4⋊C4×C61C2414yes—
685C4⋊C4×C61C2414yes—
686C4⋊C4×C61C2414yes—
687C4⋊C4×C61C2414yes—
688C4⋊C4×C61C2414yes—
689C4⋊C4×C61C2414yes—
690C4⋊C4×C61C2414yes—
691C4⋊C4×C61C2414yes—
692C4⋊C4×C61C2414yes—
693C4⋊C4×C61C2414yes—
694C4⋊C4×C61C2414yes—
695C4⋊C4×C61C2414yes—
696C4⋊C4×C61C2414yes—
697C4⋊C4×C61C2414yes—
698C4⋊C4×C61C2414yes—
699C4⋊C4×C61C2412yes—
700C4⋊C4×C61C2412yes—
701C4⋊C4×C61C2412yes—
702C4⋊C4×C61C2414yes—
703C4⋊C4×C61C2414yes—
704C4⋊C4×C61C2414yes—
705C4⋊C4×C61C2414yes—
706C4⋊C4×C61C2414yes—
707C4⋊C4×C61C2414yes—
708C4⋊C4×C61C2414yes—
709C4⋊C4×C61C2412yes—
710C4⋊C4×C61C2414yes—
711C4⋊C4×C61C2414yes—
712C4⋊C4×C61C2412yes—
713C4⋊C4×C61C2414yes—
714C4⋊C4×C61C2414yes—
715C4⋊C4×C61C2412yes—
716C22⋊C4×C61C2411yescharacteristic
717C22⋊C4×C61C2414yes—
718C22⋊C4×C61C2414yes—
719C22⋊C4×C61C2414yes—
720C22⋊C4×C61C2414yes—
721C22⋊C4×C61C2412yes—
722C22⋊C4×C61C2414yes—
723C22⋊C4×C61C2414yes—
724C22⋊C4×C61C2414yes—
725C22⋊C4×C61C2414yes—
726C22⋊C4×C61C2414yes—
727C22⋊C4×C61C2414yes—
728C22⋊C4×C61C2414yes—
729C22⋊C4×C61C2414yes—
730C22⋊C4×C61C2414yes—
731C22⋊C4×C61C2414yes—
732C22⋊C4×C61C2414yes—
733C22⋊C4×C61C2414yes—
734C22⋊C4×C61C2414yes—
735C22⋊C4×C61C2414yes—
736C22⋊C4×C61C2414yes—
737C22⋊C4×C61C2414yes—
738C22⋊C4×C61C2414yes—
739C22⋊C4×C61C2414yes—
740C22⋊C4×C61C2414yes—
741C22⋊C4×C61C2414yes—
742C22⋊C4×C61C2414yes—
743C22⋊C4×C61C2414yes—
744C22⋊C4×C61C2414yes—
745C22⋊C4×C61C2414yes—
746C22⋊C4×C61C2414yes—
747C22⋊C4×C61C2414yes—
748C22⋊C4×C61C2414yes—
749C22⋊C4×C61C2414yes—
750C22⋊C4×C61C2414yes—
751C22⋊C4×C61C2414yes—
752C22⋊C4×C61C2414yes—
753C22⋊C4×C61C2414yes—
754C22⋊C4×C61C2414yes—
755C22⋊C4×C61C2414yes—
756C22⋊C4×C61C2414yes—
757C22⋊C4×C61C2414yes—
758C22⋊C4×C61C2414yes—
759C22⋊C4×C61C2411yescharacteristic
760C22⋊C4×C61C2412yes—
761C22⋊C4×C61C2414yes—
762C22⋊C4×C61C2414yes—
763C22⋊C4×C61C2414yes—
764C22⋊C4×C61C2414yes—
765C22⋊C4×C61C2414yes—
766C22⋊C4×C61C2414yes—
767C22⋊C4×C61C2414yes—
768C22⋊C4×C61C2414yes—
769C42×C61C2411yescharacteristic
770C42×C61C2411yescharacteristic
771C42×C61C2414yes—
772C42×C61C2414yes—
773C42×C61C2412yes—
774C42×C61C2412yes—
775C42×C61C2414yes—
776C42×C61C2412yes—
777C42×C61C2414yes—
778C42×C61C2412yes—
779C42×C61C2414yes—
780C42×C61C2414yes—
781C42×C61C2414yes—
782C42×C61C2414yes—
783C42×C61C2414yes—
784C23×C61—28no—
785C23×C61—44no—
786C23×C61—44no—
787C23×C61—44no—
788C23×C61—44no—
789C23×C61—44no—
790C23×C61—44no—
791C23×C61—44no—
792C23×C61—44no—
793C23×C61—44no—
794C23×C61—44no—
795C23×C61—44no—
796C23×C61C2514yes—
797C23×C61C2514yes—
798C23×C61C2514yes—
799C23×C61C2512yes—
800C23×C61C2514yes—
801C23×C61C2511yescharacteristic
802Q8×C61—42no—
803Q8×C61—42no—
804Q8×C61—44no—
805Q8×C61—44no—
806Q8×C61—42no—
807Q8×C61—41no—
808Q8×C61—42no—
809Q8×C61—44no—
810D4×C61—28no—
811D4×C61—28no—
812D4×C61—24no—
813D4×C61—44no—
814D4×C61—44no—
815D4×C61—44no—
816D4×C61—44no—
817D4×C61—44no—
818D4×C61—44no—
819D4×C61—44no—
820D4×C61—44no—
821D4×C61—44no—
822D4×C61—44no—
823D4×C61—44no—
824D4×C61—44no—
825D4×C61—44no—
826D4×C61—44no—
827D4×C61—42no—
828D4×C61—44no—
829D4×C61—44no—
830D4×C61—44no—
831D4×C61—44no—
832D4×C61—44no—
833D4×C61—44no—
834D4×C61—44no—
835D4×C61—44no—
836D4×C61—42no—
837D4×C61—44no—
838D4×C61—42no—
839D4×C61—44no—
840D4×C61—41no—
841D4×C61—42no—
842D4×C61—44no—
843D4×C61—44no—
844C2×C4×C61—22no—
845C2×C4×C61—44no—
846C2×C4×C61—44no—
847C2×C4×C61—44no—
848C2×C4×C61—44no—
849C2×C4×C61—44no—
850C2×C4×C61—44no—
851C2×C4×C61—44no—
852C2×C4×C61—44no—
853C2×C4×C61—44no—
854C2×C4×C61—44no—
855C2×C4×C61—44no—
856C2×C4×C61—44no—
857C2×C4×C61—44no—
858C2×C4×C61—44no—
859C2×C4×C61—42no—
860C2×C4×C61—42no—
861C2×C4×C61—44no—
862C2×C4×C61—44no—
863C2×C4×C61—44no—
864C2×C4×C61—44no—
865C2×C4×C61—44no—
866C2×C4×C61—42no—
867C2×C4×C61—42no—
868C2×C4×C61—44no—
869C2×C4×C61—44no—
870C2×C4×C61C2512yes—
871C2×C4×C61C2511yescharacteristic
872C2×C4×C61C2514yes—
873C2×C4×C61C2512yes—
874C2×C4×C61C2512yes—
875C2×C4×C61C2514yes—
876C2×C4×C61C2514yes—
877C2×C4×C61C2512yes—
878C2×C4×C61C2512yes—
879C2×C4×C61C2511yescharacteristic
880C2×C4×C61C2514yes—
881C2×C4×C61C2514yes—
882C2×C4×C61C2514yes—
883C2×C4×C61C2514yes—
884C2×C4×C61C2514yes—
885#63055C6111yesmaximal, characteristic, direct product factor, Sylow
886C22×C61—22no—
887C22×C61—24no—
888C22×C61—24no—
889C22×C61—22no—
890C22×C61—24no—
891C22×C61—24no—
892C22×C61—24no—
893C22×C61—24no—
894C22×C61—22no—
895C22×C61—24no—
896C22×C61—24no—
897C22×C61—24no—
898C22×C61—24no—
899C22×C61—24no—
900C22×C61—22no—
901C22×C61—24no—
902C22×C61—88no—
903C22×C61—88no—
904C22×C61—164no—
905C22×C61—164no—
906C22×C61#58512yes—
907C22×C61C2611yescharacteristic
908C4×C61—21no—
909C4×C61—21no—
910C4×C61—24no—
911C4×C61—22no—
912C4×C61—24no—
913C4×C61—22no—
914C4×C61—24no—
915C4×C61—24no—
916C4×C61—24no—
917C4×C61—24no—
918C4×C61—24no—
919C4×C61—22no—
920C4×C61—22no—
921C4×C61—22no—
922C4×C61—24no—
923#3567C2×C6112yescomplemented
924#3566C2×C6114yescomplemented
925#3566C2×C6114yescomplemented
926#3562C2×C6114yescomplemented
927#3558C2×C6112yescomplemented
928#3558C2×C6112yescomplemented
929#3553C2×C6111yescharacteristic, complemented
930#3545C2×C6112yescomplemented
931#3542C2×C6114yescomplemented
932#3541C2×C6114yescomplemented
933#3537C2×C6114yescomplemented
934#3534C2×C6114yescomplemented
935#3534C2×C6114yescomplemented
936#3533C2×C6114yescomplemented
937#3529C2×C6112yescomplemented
938C2×#562C2×C6111yescharacteristic, complemented
939#3519C2×C6114yescomplemented
940#3514C2×C6112yescomplemented
941#3513C2×C6114yescomplemented
942#3512C2×C6111yescharacteristic, complemented
943#3505C2×C6114yescomplemented
944C2×C61—22no—
945C2×C61—44no—
946C2×C61—44no—
947C2×C61—44no—
948C2×C61—44no—
949C2×C61—42no—
950C2×C61C2×#58511yescharacteristic
951C2×C61H(7,𝔽2)12yes—
952#564C22×C6111yescharacteristic, complemented
953#563C22×C6114yescomplemented
954#563C22×C6112yescomplemented
955#563C22×C6114yescomplemented
956#562C22×C6111yescharacteristic, complemented
957#562C22×C6114yescomplemented
958#562C22×C6114yescomplemented
959#562C22×C6114yescomplemented
960#562C22×C6111yescharacteristic, complemented
961#562C22×C6112yescomplemented
962#562C22×C6114yescomplemented
963#562C22×C6114yescomplemented
964#562C22×C6112yescomplemented
965#562C22×C6114yescomplemented
966#562C22×C6114yescomplemented
967#562C22×C6112yescomplemented
968#562C22×C6111yescharacteristic, complemented
969H(3,𝔽4)C22×C6112yescomplemented
970H(3,𝔽4)C22×C6112yescomplemented
971#560C22×C6114yescomplemented
972#560C22×C6114yescomplemented
973#560C22×C6114yescomplemented
974#560C22×C6114yescomplemented
975#560C22×C6114yescomplemented
976#560C22×C6114yescomplemented
977#559C22×C6114yescomplemented
978#559C22×C6112yescomplemented
979#559C22×C6114yescomplemented
980#556C22×C6112yescomplemented
981#556C22×C6114yescomplemented
982#555C22×C6114yescomplemented
983#555C22×C6114yescomplemented
984#554C22×C6114yescomplemented
985#554C22×C6114yescomplemented
986#553C22×C6114yescomplemented
987#553C22×C6114yescomplemented
988#553C22×C6114yescomplemented
989#553C22×C6114yescomplemented
990#553C22×C6114yescomplemented
991#553C22×C6114yescomplemented
992#553C22×C6114yescomplemented
993#553C22×C6114yescomplemented
994#553C22×C6114yescomplemented
995#553C22×C6114yescomplemented
996#553C22×C6114yescomplemented
997#553C22×C6114yescomplemented
998#553C22×C6114yescomplemented
999#553C22×C6114yescomplemented
1000#552C22×C6114yescomplemented
1001#552C22×C6114yescomplemented
1002#552C22×C6114yescomplemented
1003#552C22×C6114yescomplemented
1004#552C22×C6114yescomplemented
1005#552C22×C6114yescomplemented
1006#551C22×C6114yescomplemented
1007#551C22×C6114yescomplemented
1008#551C22×C6114yescomplemented
1009#551C22×C6114yescomplemented
1010#551C22×C6114yescomplemented
1011#551C22×C6114yescomplemented
1012#551C22×C6114yescomplemented
1013#551C22×C6114yescomplemented
1014#551C22×C6114yescomplemented
1015#551C22×C6114yescomplemented
1016#550C22×C6114yescomplemented
1017D4×Q8C22×C6112yescomplemented
1018#548C22×C6112yescomplemented
1019#548C22×C6114yescomplemented
1020#548C22×C6112yescomplemented
1021#548C22×C6114yescomplemented
1022#547C22×C6114yescomplemented
1023#547C22×C6114yescomplemented
1024#546C22×C6114yescomplemented
1025#546C22×C6114yescomplemented
1026#546C22×C6114yescomplemented
1027#546C22×C6114yescomplemented
1028#546C22×C6114yescomplemented
1029#546C22×C6114yescomplemented
1030#546C22×C6112yescomplemented
1031#546C22×C6112yescomplemented
1032#546C22×C6114yescomplemented
1033#546C22×C6114yescomplemented
1034#546C22×C6114yescomplemented
1035#546C22×C6114yescomplemented
1036#546C22×C6114yescomplemented
1037#546C22×C6114yescomplemented
1038#546C22×C6114yescomplemented
1039D42C22×C6114yescomplemented
1040D42C22×C6112yescomplemented
1041D42C22×C6114yescomplemented
1042D42C22×C6114yescomplemented
1043D42C22×C6114yescomplemented
1044D42C22×C6114yescomplemented
1045D42C22×C6114yescomplemented
1046#542C22×C6114yescomplemented
1047#542C22×C6114yescomplemented
1048#542C22×C6114yescomplemented
1049#542C22×C6114yescomplemented
1050#542C22×C6114yescomplemented
1051#542C22×C6114yescomplemented
1052#541C22×C6112yescomplemented
1053#541C22×C6114yescomplemented
1054#541C22×C6114yescomplemented
1055#540C22×C6112yescomplemented
1056#540C22×C6114yescomplemented
1057#540C22×C6114yescomplemented
1058#540C22×C6114yescomplemented
1059#540C22×C6114yescomplemented
1060#540C22×C6114yescomplemented
1061#540C22×C6114yescomplemented
1062#540C22×C6114yescomplemented
1063#539C22×C6114yescomplemented
1064#539C22×C6114yescomplemented
1065#539C22×C6114yescomplemented
1066#539C22×C6114yescomplemented
1067#539C22×C6114yescomplemented
1068#539C22×C6114yescomplemented
1069#539C22×C6114yescomplemented
1070#539C22×C6114yescomplemented
1071#539C22×C6114yescomplemented
1072#538C22×C6114yescomplemented
1073#538C22×C6114yescomplemented
1074#538C22×C6114yescomplemented
1075#538C22×C6114yescomplemented
1076#538C22×C6114yescomplemented
1077#538C22×C6114yescomplemented
1078#538C22×C6114yescomplemented
1079#538C22×C6114yescomplemented
1080#538C22×C6114yescomplemented
1081#538C22×C6114yescomplemented
1082#538C22×C6114yescomplemented
1083#538C22×C6114yescomplemented
1084#538C22×C6114yescomplemented
1085#538C22×C6114yescomplemented
1086#538C22×C6114yescomplemented
1087#538C22×C6114yescomplemented
1088#537C22×C6112yescomplemented
1089#537C22×C6114yescomplemented
1090#536C22×C6114yescomplemented
1091#535C22×C6114yescomplemented
1092#535C22×C6114yescomplemented
1093#535C22×C6114yescomplemented
1094#534C22×C6114yescomplemented
1095#534C22×C6114yescomplemented
1096#534C22×C6114yescomplemented
1097#534C22×C6114yescomplemented
1098#534C22×C6114yescomplemented
1099#534C22×C6114yescomplemented
1100#532C22×C6111yescharacteristic, complemented
1101#532C22×C6112yescomplemented
1102#532C22×C6114yescomplemented
1103#529C22×C6114yescomplemented
1104#529C22×C6114yescomplemented
1105#529C22×C6112yescomplemented
1106#529C22×C6112yescomplemented
1107#529C22×C6114yescomplemented
1108#529C22×C6114yescomplemented
1109#529C22×C6112yescomplemented
1110#529C22×C6112yescomplemented
1111#529C22×C6112yescomplemented
1112#529C22×C6114yescomplemented
1113C2×#125C22×C6111yescharacteristic, complemented
1114C2×#124C22×C6112yescomplemented
1115C2×#124C22×C6112yescomplemented
1116#525C22×C6114yescomplemented
1117#525C22×C6114yescomplemented
1118#525C22×C6114yescomplemented
1119#525C22×C6114yescomplemented
1120#525C22×C6114yescomplemented
1121#525C22×C6114yescomplemented
1122C2×#123C22×C6114yescomplemented
1123C2×#123C22×C6114yescomplemented
1124C2×C22⋊Q8C22×C6114yescomplemented
1125C2×#121C22×C6114yescomplemented
1126C2×#121C22×C6114yescomplemented
1127C2×#121C22×C6114yescomplemented
1128#520C22×C6112yescomplemented
1129#518C22×C6114yescomplemented
1130#518C22×C6114yescomplemented
1131C4×#41C22×C6111yescharacteristic, complemented
1132C2×C4×D4C22×C6114yescomplemented
1133C61#6305511yescharacteristic, direct product factor, Sylow
1134C2×#41C23×C6111yescharacteristic
1135C2×#41C23×C6112yes—
1136C2×#41C23×C6112yes—
1137C2×#41C23×C6114yes—
1138C2×#41C23×C6114yes—
1139C2×#41C23×C6114yes—
1140C2×#41C23×C6114yes—
1141C2×#41C23×C6112yes—
1142C22×Q8C23×C6112yes—
1143C22×Q8C23×C6112yes—
1144C22×D4C23×C6114yes—
1145C22×D4C23×C6114yes—
1146C22×D4C23×C6114yes—
1147C22×D4C23×C6114yes—
1148C22×D4C23×C6112yes—
1149C22×D4C23×C6114yes—
1150C22×D4C23×C6114yes—
1151C22×D4C23×C6114yes—
1152C22×D4C23×C6114yes—
1153C22×D4C23×C6114yes—
1154C22×D4C23×C6112yes—
1155C23×C4C23×C6114yes—
1156C23×C4C23×C6114yes—
1157C4⋊Q8C23×C6114yes—
1158C4⋊Q8C23×C6111yescharacteristic
1159C4⋊Q8C23×C6112yes—
1160C4⋊Q8C23×C6114yes—
1161C4⋊Q8C23×C6114yes—
1162#127C23×C6111yescharacteristic
1163#127C23×C6112yes—
1164#127C23×C6114yes—
1165#127C23×C6114yes—
1166#127C23×C6114yes—
1167#127C23×C6114yes—
1168#126C23×C6114yes—
1169#126C23×C6114yes—
1170#126C23×C6114yes—
1171#126C23×C6114yes—
1172#126C23×C6114yes—
1173#126C23×C6114yes—
1174#126C23×C6114yes—
1175#126C23×C6114yes—
1176#126C23×C6114yes—
1177#126C23×C6114yes—
1178#126C23×C6114yes—
1179#126C23×C6114yes—
1180#126C23×C6114yes—
1181#126C23×C6114yes—
1182#126C23×C6114yes—
1183#126C23×C6114yes—
1184#126C23×C6114yes—
1185#126C23×C6114yes—
1186#126C23×C6114yes—
1187#126C23×C6114yes—
1188#126C23×C6114yes—
1189#126C23×C6114yes—
1190#126C23×C6114yes—
1191#126C23×C6114yes—
1192#126C23×C6114yes—
1193#125C23×C6111yescharacteristic
1194#125C23×C6111yescharacteristic
1195#125C23×C6114yes—
1196#125C23×C6112yes—
1197#125C23×C6112yes—
1198#125C23×C6114yes—
1199#125C23×C6114yes—
1200#125C23×C6114yes—
1201#125C23×C6114yes—
1202#125C23×C6114yes—
1203#125C23×C6114yes—
1204#125C23×C6114yes—
1205#125C23×C6114yes—
1206#125C23×C6114yes—
1207#125C23×C6114yes—
1208#125C23×C6114yes—
1209#125C23×C6114yes—
1210#124C23×C6112yes—
1211#124C23×C6112yes—
1212#124C23×C6112yes—
1213#124C23×C6114yes—
1214#124C23×C6114yes—
1215#124C23×C6112yes—
1216#124C23×C6112yes—
1217#124C23×C6112yes—
1218#124C23×C6112yes—
1219#124C23×C6114yes—
1220#124C23×C6114yes—
1221#124C23×C6112yes—
1222#124C23×C6114yes—
1223#124C23×C6114yes—
1224#124C23×C6114yes—
1225#124C23×C6114yes—
1226#124C23×C6114yes—
1227#124C23×C6114yes—
1228#124C23×C6114yes—
1229#124C23×C6114yes—
1230#124C23×C6114yes—
1231#124C23×C6114yes—
1232#124C23×C6114yes—
1233#124C23×C6114yes—
1234#124C23×C6114yes—
1235#124C23×C6114yes—
1236#124C23×C6114yes—
1237#123C23×C6114yes—
1238#123C23×C6114yes—
1239#123C23×C6114yes—
1240#123C23×C6114yes—
1241#123C23×C6114yes—
1242#123C23×C6114yes—
1243#123C23×C6114yes—
1244#123C23×C6114yes—
1245#123C23×C6114yes—
1246#123C23×C6114yes—
1247#123C23×C6114yes—
1248#123C23×C6114yes—
1249#123C23×C6114yes—
1250#123C23×C6114yes—
1251#123C23×C6114yes—
1252#123C23×C6114yes—
1253#123C23×C6114yes—
1254#123C23×C6114yes—
1255#123C23×C6114yes—
1256#123C23×C6114yes—
1257#123C23×C6114yes—
1258#123C23×C6114yes—
1259#123C23×C6114yes—
1260#123C23×C6114yes—
1261#123C23×C6114yes—
1262#123C23×C6114yes—
1263#123C23×C6114yes—
1264#123C23×C6114yes—
1265#123C23×C6114yes—
1266#123C23×C6114yes—
1267#123C23×C6114yes—
1268#123C23×C6114yes—
1269#123C23×C6114yes—
1270#123C23×C6114yes—
1271#123C23×C6114yes—
1272#123C23×C6114yes—
1273#123C23×C6114yes—
1274#123C23×C6114yes—
1275#123C23×C6114yes—
1276#123C23×C6114yes—
1277#123C23×C6114yes—
1278#123C23×C6114yes—
1279#123C23×C6114yes—
1280#123C23×C6114yes—
1281#123C23×C6114yes—
1282#123C23×C6114yes—
1283#123C23×C6114yes—
1284#123C23×C6114yes—
1285#123C23×C6114yes—
1286#123C23×C6114yes—
1287#123C23×C6114yes—
1288C22⋊Q8C23×C6114yes—
1289C22⋊Q8C23×C6114yes—
1290C22⋊Q8C23×C6114yes—
1291C22⋊Q8C23×C6114yes—
1292C22⋊Q8C23×C6114yes—
1293C22⋊Q8C23×C6114yes—
1294C22⋊Q8C23×C6114yes—
1295C22⋊Q8C23×C6114yes—
1296C22⋊Q8C23×C6114yes—
1297C22⋊Q8C23×C6114yes—
1298C22⋊Q8C23×C6114yes—
1299C22⋊Q8C23×C6114yes—
1300C22⋊Q8C23×C6114yes—
1301C22⋊Q8C23×C6114yes—
1302C22⋊Q8C23×C6114yes—
1303C22⋊Q8C23×C6114yes—
1304C22⋊Q8C23×C6114yes—
1305C22⋊Q8C23×C6112yes—
1306C22⋊Q8C23×C6112yes—
1307C22⋊Q8C23×C6112yes—
1308C22⋊Q8C23×C6112yes—
1309C22⋊Q8C23×C6112yes—
1310C22⋊Q8C23×C6114yes—
1311C22⋊Q8C23×C6114yes—
1312C22⋊Q8C23×C6114yes—
1313C22⋊Q8C23×C6114yes—
1314C22⋊Q8C23×C6114yes—
1315C22⋊Q8C23×C6114yes—
1316C22⋊Q8C23×C6114yes—
1317C22⋊Q8C23×C6114yes—
1318C22⋊Q8C23×C6114yes—
1319C22⋊Q8C23×C6114yes—
1320C22⋊Q8C23×C6114yes—
1321C22⋊Q8C23×C6114yes—
1322C22⋊Q8C23×C6114yes—
1323#121C23×C6114yes—
1324#121C23×C6114yes—
1325#121C23×C6114yes—
1326#121C23×C6114yes—
1327#121C23×C6114yes—
1328#121C23×C6114yes—
1329#121C23×C6114yes—
1330#121C23×C6114yes—
1331#121C23×C6114yes—
1332#121C23×C6114yes—
1333#121C23×C6114yes—
1334#121C23×C6114yes—
1335#121C23×C6114yes—
1336#121C23×C6114yes—
1337#121C23×C6114yes—
1338#121C23×C6114yes—
1339#121C23×C6114yes—
1340#121C23×C6114yes—
1341#121C23×C6114yes—
1342#121C23×C6114yes—
1343#121C23×C6114yes—
1344#121C23×C6114yes—
1345#121C23×C6114yes—
1346#121C23×C6114yes—
1347#121C23×C6114yes—
1348#121C23×C6114yes—
1349#121C23×C6114yes—
1350#121C23×C6114yes—
1351#121C23×C6114yes—
1352#121C23×C6114yes—
1353#121C23×C6114yes—
1354#121C23×C6112yes—
1355#121C23×C6112yes—
1356#121C23×C6112yes—
1357#121C23×C6114yes—
1358#121C23×C6114yes—
1359#121C23×C6112yes—
1360#121C23×C6112yes—
1361#121C23×C6114yes—
1362#121C23×C6114yes—
1363#121C23×C6114yes—
1364#121C23×C6114yes—
1365#121C23×C6114yes—
1366#121C23×C6114yes—
1367#121C23×C6114yes—
1368#121C23×C6114yes—
1369#121C23×C6114yes—
1370#121C23×C6114yes—
1371#121C23×C6114yes—
1372#121C23×C6114yes—
1373#121C23×C6114yes—
1374#121C23×C6114yes—
1375#121C23×C6114yes—
1376#121C23×C6114yes—
1377#121C23×C6114yes—
1378#121C23×C6114yes—
1379#121C23×C6114yes—
1380#121C23×C6114yes—
1381#121C23×C6114yes—
1382#121C23×C6114yes—
1383#121C23×C6114yes—
1384#121C23×C6114yes—
1385#121C23×C6114yes—
1386#121C23×C6114yes—
1387#120C23×C6114yes—
1388#120C23×C6114yes—
1389#120C23×C6114yes—
1390#120C23×C6114yes—
1391#120C23×C6114yes—
1392#120C23×C6114yes—
1393#120C23×C6114yes—
1394#120C23×C6114yes—
1395#120C23×C6114yes—
1396#120C23×C6114yes—
1397#120C23×C6114yes—
1398#120C23×C6114yes—
1399#120C23×C6114yes—
1400#120C23×C6114yes—
1401#120C23×C6114yes—
1402#120C23×C6114yes—
1403#120C23×C6114yes—
1404#120C23×C6114yes—
1405#120C23×C6114yes—
1406#120C23×C6114yes—
1407#120C23×C6114yes—
1408#120C23×C6114yes—
1409#120C23×C6114yes—
1410#120C23×C6114yes—
1411C4×Q8C23×C6112yes—
1412C4×Q8C23×C6112yes—
1413C4×Q8C23×C6112yes—
1414C4×Q8C23×C6112yes—
1415C4×Q8C23×C6112yes—
1416C4×Q8C23×C6114yes—
1417C4×Q8C23×C6114yes—
1418C4×Q8C23×C6114yes—
1419C4×Q8C23×C6112yes—
1420C4×D4C23×C6114yes—
1421C4×D4C23×C6114yes—
1422C4×D4C23×C6114yes—
1423C4×D4C23×C6114yes—
1424C4×D4C23×C6114yes—
1425C4×D4C23×C6114yes—
1426C4×D4C23×C6114yes—
1427C4×D4C23×C6114yes—
1428C4×D4C23×C6112yes—
1429C4×D4C23×C6112yes—
1430C4×D4C23×C6112yes—
1431C4×D4C23×C6114yes—
1432C4×D4C23×C6114yes—
1433C4×D4C23×C6114yes—
1434C4×D4C23×C6114yes—
1435C4×D4C23×C6114yes—
1436C4×D4C23×C6114yes—
1437C4×D4C23×C6114yes—
1438C4×D4C23×C6114yes—
1439C4×D4C23×C6114yes—
1440C4×D4C23×C6114yes—
1441C4×D4C23×C6114yes—
1442C4×D4C23×C6114yes—
1443C4×D4C23×C6112yes—
1444C4×D4C23×C6114yes—
1445C4×D4C23×C6112yes—
1446C4×D4C23×C6114yes—
1447C4×D4C23×C6112yes—
1448C4×D4C23×C6114yes—
1449C4×D4C23×C6114yes—
1450C4×D4C23×C6114yes—
1451C4×D4C23×C6114yes—
1452C4×D4C23×C6114yes—
1453C4×D4C23×C6114yes—
1454C4×D4C23×C6114yes—
1455C4×D4C23×C6114yes—
1456C4×D4C23×C6114yes—
1457C4×D4C23×C6112yes—
1458C4×D4C23×C6114yes—
1459C4×D4C23×C6114yes—
1460C4×D4C23×C6114yes—
1461C4×D4C23×C6114yes—
1462C4×D4C23×C6114yes—
1463C4×D4C23×C6114yes—
1464C4×D4C23×C6112yes—
1465C4×D4C23×C6114yes—
1466C4×D4C23×C6114yes—
1467C4×D4C23×C6114yes—
1468C4×D4C23×C6114yes—
1469#117C23×C6111yescharacteristic
1470#117C23×C6112yes—
1471#117C23×C6114yes—
1472#117C23×C6114yes—
1473#117C23×C6114yes—
1474#117C23×C6114yes—
1475#117C23×C6114yes—
1476#117C23×C6114yes—
1477#117C23×C6114yes—
1478#117C23×C6114yes—
1479#117C23×C6114yes—
1480#117C23×C6114yes—
1481#117C23×C6114yes—
1482#117C23×C6114yes—
1483#117C23×C6114yes—
1484#117C23×C6114yes—
1485#117C23×C6114yes—
1486C2×C4⋊C4C23×C6114yes—
1487C2×C4⋊C4C23×C6112yes—
1488C2×C4⋊C4C23×C6114yes—
1489C2×C4⋊C4C23×C6114yes—
1490C2×C4⋊C4C23×C6114yes—
1491C2×C4⋊C4C23×C6114yes—
1492C2×C4⋊C4C23×C6114yes—
1493C2×C4⋊C4C23×C6114yes—
1494C2×C22⋊C4C23×C6114yes—
1495C2×C22⋊C4C23×C6114yes—
1496C2×C22⋊C4C23×C6114yes—
1497C2×C22⋊C4C23×C6114yes—
1498C2×C22⋊C4C23×C6114yes—
1499C2×C22⋊C4C23×C6114yes—
1500C2×C22⋊C4C23×C6114yes—
1501C2×C22⋊C4C23×C6114yes—
1502C2×C22⋊C4C23×C6114yes—
1503C2×C22⋊C4C23×C6114yes—
1504C2×C22⋊C4C23×C6114yes—
1505C2×C22⋊C4C23×C6114yes—
1506C2×C22⋊C4C23×C6114yes—
1507C2×C22⋊C4C23×C6114yes—
1508C2×C42C23×C6114yes—
1509C2×C42C23×C6111yescharacteristic
1510C2×C42C23×C6112yes—
1511C24C24×C6114yes—
1512C24C24×C6114yes—
1513C24C24×C6114yes—
1514C24C24×C6114yes—
1515#41—42no—
1516#41—44no—
1517#41—82no—
1518#41—84no—
1519#41—84no—
1520#41—84no—
1521#41—84no—
1522#41—82no—
1523C2×Q8—82no—
1524C2×Q8—82no—
1525C2×Q8C24×C6111yescharacteristic
1526C2×Q8C24×C6112yes—
1527C2×Q8C24×C6112yes—
1528C2×Q8C24×C6112yes—
1529C2×Q8C24×C6114yes—
1530C2×Q8C24×C6114yes—
1531C2×Q8C24×C6114yes—
1532C2×Q8C24×C6112yes—
1533C2×D4—48no—
1534C2×D4—48no—
1535C2×D4—48no—
1536C2×D4—84no—
1537C2×D4—84no—
1538C2×D4—84no—
1539C2×D4—82no—
1540C2×D4—82no—
1541C2×D4—84no—
1542C2×D4—84no—
1543C2×D4—84no—
1544C2×D4C24×C6114yes—
1545C2×D4C24×C6112yes—
1546C2×D4C24×C6114yes—
1547C2×D4C24×C6111yescharacteristic
1548C2×D4C24×C6112yes—
1549C2×D4C24×C6114yes—
1550C2×D4C24×C6114yes—
1551C2×D4C24×C6114yes—
1552C2×D4C24×C6114yes—
1553C2×D4C24×C6114yes—
1554C2×D4C24×C6114yes—
1555C2×D4C24×C6114yes—
1556C2×D4C24×C6112yes—
1557C2×D4C24×C6114yes—
1558C2×D4C24×C6114yes—
1559C2×D4C24×C6114yes—
1560C2×D4C24×C6114yes—
1561C2×D4C24×C6114yes—
1562C2×D4C24×C6114yes—
1563C2×D4C24×C6114yes—
1564C2×D4C24×C6114yes—
1565C2×D4C24×C6114yes—
1566C2×D4C24×C6114yes—
1567C2×D4C24×C6112yes—
1568C2×D4C24×C6112yes—
1569C2×D4C24×C6114yes—
1570C2×D4C24×C6114yes—
1571C2×D4C24×C6114yes—
1572C2×D4C24×C6114yes—
1573C2×D4C24×C6114yes—
1574C2×D4C24×C6114yes—
1575C2×D4C24×C6114yes—
1576C2×D4C24×C6114yes—
1577C2×D4C24×C6114yes—
1578C22×C4—84no—
1579C22×C4—84no—
1580C22×C4C24×C6111yescharacteristic
1581C22×C4C24×C6112yes—
1582C22×C4C24×C6112yes—
1583C22×C4C24×C6114yes—
1584C22×C4C24×C6112yes—
1585C22×C4C24×C6114yes—
1586C22×C4C24×C6112yes—
1587C22×C4C24×C6114yes—
1588C22×C4C24×C6114yes—
1589C22×C4C24×C6114yes—
1590C22×C4C24×C6114yes—
1591C22×C4C24×C6114yes—
1592C22×C4C24×C6114yes—
1593C22×C4C24×C6114yes—
1594C22×C4C24×C6114yes—
1595C22×C4C24×C6114yes—
1596C22×C4C24×C6114yes—
1597C22×C4C24×C6114yes—
1598C22×C4C24×C6114yes—
1599C22×C4C24×C6114yes—
1600C22×C4C24×C6114yes—
1601C22×C4C24×C6114yes—
1602C22×C4C24×C6114yes—
1603C22×C4C24×C6114yes—
1604C22×C4C24×C6114yes—
1605C22×C4C24×C6114yes—
1606C4⋊C4C24×C6112yes—
1607C4⋊C4C24×C6114yes—
1608C4⋊C4C24×C6114yes—
1609C4⋊C4C24×C6114yes—
1610C4⋊C4C24×C6114yes—
1611C4⋊C4C24×C6114yes—
1612C4⋊C4C24×C6114yes—
1613C4⋊C4C24×C6114yes—
1614C4⋊C4C24×C6114yes—
1615C4⋊C4C24×C6114yes—
1616C4⋊C4C24×C6114yes—
1617C4⋊C4C24×C6114yes—
1618C4⋊C4C24×C6114yes—
1619C4⋊C4C24×C6114yes—
1620C4⋊C4C24×C6114yes—
1621C4⋊C4C24×C6114yes—
1622C4⋊C4C24×C6114yes—
1623C4⋊C4C24×C6114yes—
1624C4⋊C4C24×C6114yes—
1625C4⋊C4C24×C6114yes—
1626C4⋊C4C24×C6114yes—
1627C4⋊C4C24×C6114yes—
1628C4⋊C4C24×C6114yes—
1629C4⋊C4C24×C6114yes—
1630C4⋊C4C24×C6112yes—
1631C4⋊C4C24×C6112yes—
1632C4⋊C4C24×C6112yes—
1633C4⋊C4C24×C6114yes—
1634C4⋊C4C24×C6114yes—
1635C4⋊C4C24×C6114yes—
1636C4⋊C4C24×C6114yes—
1637C4⋊C4C24×C6114yes—
1638C4⋊C4C24×C6114yes—
1639C4⋊C4C24×C6114yes—
1640C4⋊C4C24×C6112yes—
1641C4⋊C4C24×C6114yes—
1642C4⋊C4C24×C6114yes—
1643C4⋊C4C24×C6112yes—
1644C4⋊C4C24×C6114yes—
1645C4⋊C4C24×C6114yes—
1646C4⋊C4C24×C6112yes—
1647C22⋊C4C24×C6111yescharacteristic
1648C22⋊C4C24×C6114yes—
1649C22⋊C4C24×C6114yes—
1650C22⋊C4C24×C6114yes—
1651C22⋊C4C24×C6114yes—
1652C22⋊C4C24×C6112yes—
1653C22⋊C4C24×C6114yes—
1654C22⋊C4C24×C6114yes—
1655C22⋊C4C24×C6114yes—
1656C22⋊C4C24×C6114yes—
1657C22⋊C4C24×C6114yes—
1658C22⋊C4C24×C6114yes—
1659C22⋊C4C24×C6114yes—
1660C22⋊C4C24×C6114yes—
1661C22⋊C4C24×C6114yes—
1662C22⋊C4C24×C6114yes—
1663C22⋊C4C24×C6114yes—
1664C22⋊C4C24×C6114yes—
1665C22⋊C4C24×C6114yes—
1666C22⋊C4C24×C6114yes—
1667C22⋊C4C24×C6114yes—
1668C22⋊C4C24×C6114yes—
1669C22⋊C4C24×C6114yes—
1670C22⋊C4C24×C6114yes—
1671C22⋊C4C24×C6114yes—
1672C22⋊C4C24×C6114yes—
1673C22⋊C4C24×C6114yes—
1674C22⋊C4C24×C6114yes—
1675C22⋊C4C24×C6114yes—
1676C22⋊C4C24×C6114yes—
1677C22⋊C4C24×C6114yes—
1678C22⋊C4C24×C6114yes—
1679C22⋊C4C24×C6114yes—
1680C22⋊C4C24×C6114yes—
1681C22⋊C4C24×C6114yes—
1682C22⋊C4C24×C6114yes—
1683C22⋊C4C24×C6114yes—
1684C22⋊C4C24×C6114yes—
1685C22⋊C4C24×C6114yes—
1686C22⋊C4C24×C6114yes—
1687C22⋊C4C24×C6114yes—
1688C22⋊C4C24×C6114yes—
1689C22⋊C4C24×C6114yes—
1690C22⋊C4C24×C6111yescharacteristic
1691C22⋊C4C24×C6112yes—
1692C22⋊C4C24×C6114yes—
1693C22⋊C4C24×C6114yes—
1694C22⋊C4C24×C6114yes—
1695C22⋊C4C24×C6114yes—
1696C22⋊C4C24×C6114yes—
1697C22⋊C4C24×C6114yes—
1698C22⋊C4C24×C6114yes—
1699C22⋊C4C24×C6114yes—
1700C42C24×C6111yescharacteristic
1701C42C24×C6111yescharacteristic
1702C42C24×C6114yes—
1703C42C24×C6114yes—
1704C42C24×C6112yes—
1705C42C24×C6112yes—
1706C42C24×C6114yes—
1707C42C24×C6112yes—
1708C42C24×C6114yes—
1709C42C24×C6112yes—
1710C42C24×C6114yes—
1711C42C24×C6114yes—
1712C42C24×C6114yes—
1713C42C24×C6114yes—
1714C42C24×C6114yes—
1715C23—28no—
1716C23—44no—
1717C23—44no—
1718C23—44no—
1719C23—44no—
1720C23—44no—
1721C23—44no—
1722C23—44no—
1723C23—44no—
1724C23—44no—
1725C23—44no—
1726C23—44no—
1727C23C25×C6114yes—
1728C23C25×C6114yes—
1729C23C25×C6114yes—
1730C23C25×C6112yes—
1731C23C25×C6114yes—
1732C23C25×C6111yescharacteristic
1733Q8—42no—
1734Q8—42no—
1735Q8—44no—
1736Q8—44no—
1737Q8—42no—
1738Q8—41no—
1739Q8—42no—
1740Q8—44no—
1741D4—28no—
1742D4—28no—
1743D4—24no—
1744D4—44no—
1745D4—44no—
1746D4—44no—
1747D4—44no—
1748D4—44no—
1749D4—44no—
1750D4—44no—
1751D4—44no—
1752D4—44no—
1753D4—44no—
1754D4—44no—
1755D4—44no—
1756D4—44no—
1757D4—44no—
1758D4—42no—
1759D4—44no—
1760D4—44no—
1761D4—44no—
1762D4—44no—
1763D4—44no—
1764D4—44no—
1765D4—44no—
1766D4—44no—
1767D4—42no—
1768D4—44no—
1769D4—42no—
1770D4—44no—
1771D4—41no—
1772D4—42no—
1773D4—44no—
1774D4—44no—
1775C2×C4—22no—
1776C2×C4—44no—
1777C2×C4—44no—
1778C2×C4—44no—
1779C2×C4—44no—
1780C2×C4—44no—
1781C2×C4—44no—
1782C2×C4—44no—
1783C2×C4—44no—
1784C2×C4—44no—
1785C2×C4—44no—
1786C2×C4—44no—
1787C2×C4—44no—
1788C2×C4—44no—
1789C2×C4—44no—
1790C2×C4—42no—
1791C2×C4—42no—
1792C2×C4—44no—
1793C2×C4—44no—
1794C2×C4—44no—
1795C2×C4—44no—
1796C2×C4—44no—
1797C2×C4—42no—
1798C2×C4—42no—
1799C2×C4—44no—
1800C2×C4—44no—
1801C2×C4C25×C6112yes—
1802C2×C4C25×C6111yescharacteristic
1803C2×C4C25×C6114yes—
1804C2×C4C25×C6112yes—
1805C2×C4C25×C6112yes—
1806C2×C4C25×C6114yes—
1807C2×C4C25×C6114yes—
1808C2×C4C25×C6112yes—
1809C2×C4C25×C6112yes—
1810C2×C4C25×C6111yescharacteristic
1811C2×C4C25×C6114yes—
1812C2×C4C25×C6114yes—
1813C2×C4C25×C6114yes—
1814C2×C4C25×C6114yes—
1815C2×C4C25×C6114yes—
1816C22—22no—
1817C22—24no—
1818C22—24no—
1819C22—22no—
1820C22—24no—
1821C22—24no—
1822C22—24no—
1823C22—24no—
1824C22—22no—
1825C22—24no—
1826C22—24no—
1827C22—24no—
1828C22—24no—
1829C22—24no—
1830C22—22no—
1831C22—24no—
1832C22—88no—
1833C22—88no—
1834C22—164no—
1835C22—164no—
1836C22C61×#58512yes—
1837C22C26×C6111yescharacteristic
1838C4—21no—
1839C4—21no—
1840C4—24no—
1841C4—22no—
1842C4—24no—
1843C4—22no—
1844C4—24no—
1845C4—24no—
1846C4—24no—
1847C4—24no—
1848C4—24no—
1849C4—22no—
1850C4—22no—
1851C4—22no—
1852C4—24no—
1853C2—22no—
1854C2—44no—
1855C2—44no—
1856C2—44no—
1857C2—44no—
1858C2—42no—
1859C2C2×C61×#58511yescharacteristic
1860C2C61×H(7,𝔽2)12yes—
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×#3566C2semidirect
4. C61×#3562C2semidirect
5. C61×#3558C2semidirect
6. C61×#3558C2semidirect
7. C61×#3553C2semidirect
8. C61×#3545C2semidirect
9. C61×#3542C2semidirect
10. C61×#3541C2semidirect
11. C61×#3537C2semidirect
12. C61×#3534C2semidirect
13. C61×#3534C2semidirect
14. C61×#3533C2semidirect
15. C61×#3529C2semidirect
16. C2×C61×#562C2semidirect
17. C61×#3519C2semidirect
18. C61×#3514C2semidirect
19. C61×#3513C2semidirect
20. C61×#3512C2semidirect
21. C61×#3505C2semidirect
22. C61×#564C22semidirect
23. C61×#563C22semidirect
24. C61×#563C22semidirect
25. C61×#563C22semidirect
26. C61×#562C22semidirect
27. C61×#562C22semidirect
28. C61×#562C22semidirect
29. C61×#562C22semidirect
30. C61×#562C22semidirect
31. C61×#562C22semidirect
32. C61×#562C22semidirect
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×#560C22semidirect
45. C61×#560C22semidirect
46. C61×#560C22semidirect
47. C61×#559C22semidirect
48. C61×#559C22semidirect
49. C61×#559C22semidirect
50. C61×#556C22semidirect
51. C61×#556C22semidirect
52. C61×#555C22semidirect
53. C61×#555C22semidirect
54. C61×#554C22semidirect
55. C61×#554C22semidirect
56. C61×#553C22semidirect
57. C61×#553C22semidirect
58. C61×#553C22semidirect
59. C61×#553C22semidirect
60. C61×#553C22semidirect
61. C61×#553C22semidirect
62. C61×#553C22semidirect
63. C61×#553C22semidirect
64. C61×#553C22semidirect
65. C61×#553C22semidirect
66. C61×#553C22semidirect
67. C61×#553C22semidirect
68. C61×#553C22semidirect
69. C61×#553C22semidirect
70. C61×#552C22semidirect
71. C61×#552C22semidirect
72. C61×#552C22semidirect
73. C61×#552C22semidirect
74. C61×#552C22semidirect
75. C61×#552C22semidirect
76. C61×#551C22semidirect
77. C61×#551C22semidirect
78. C61×#551C22semidirect
79. C61×#551C22semidirect
80. C61×#551C22semidirect
81. C61×#551C22semidirect
82. C61×#551C22semidirect
83. C61×#551C22semidirect
84. C61×#551C22semidirect
85. C61×#551C22semidirect
86. C61×#550C22semidirect
87. D4×Q8×C61C22semidirect
88. C61×#548C22semidirect
89. C61×#548C22semidirect
90. C61×#548C22semidirect
91. C61×#548C22semidirect
92. C61×#547C22semidirect
93. C61×#547C22semidirect
94. C61×#546C22semidirect
95. C61×#546C22semidirect
96. C61×#546C22semidirect
97. C61×#546C22semidirect
98. C61×#546C22semidirect
99. C61×#546C22semidirect
100. C61×#546C22semidirect
101. C61×#546C22semidirect
102. C61×#546C22semidirect
103. C61×#546C22semidirect
104. C61×#546C22semidirect
105. C61×#546C22semidirect
106. C61×#546C22semidirect
107. C61×#546C22semidirect
108. C61×#546C22semidirect
109. D42×C61C22semidirect
110. D42×C61C22semidirect
111. D42×C61C22semidirect
112. D42×C61C22semidirect
113. D42×C61C22semidirect
114. D42×C61C22semidirect
115. D42×C61C22semidirect
116. C61×#542C22semidirect
117. C61×#542C22semidirect
118. C61×#542C22semidirect
119. C61×#542C22semidirect
120. C61×#542C22semidirect
121. C61×#542C22semidirect
122. C61×#541C22semidirect
123. C61×#541C22semidirect
124. C61×#541C22semidirect
125. C61×#540C22semidirect
126. C61×#540C22semidirect
127. C61×#540C22semidirect
128. C61×#540C22semidirect
129. C61×#540C22semidirect
130. C61×#540C22semidirect
131. C61×#540C22semidirect
132. C61×#540C22semidirect
133. C61×#539C22semidirect
134. C61×#539C22semidirect
135. C61×#539C22semidirect
136. C61×#539C22semidirect
137. C61×#539C22semidirect
138. C61×#539C22semidirect
139. C61×#539C22semidirect
140. C61×#539C22semidirect
141. C61×#539C22semidirect
142. C61×#538C22semidirect
143. C61×#538C22semidirect
144. C61×#538C22semidirect
145. C61×#538C22semidirect
146. C61×#538C22semidirect
147. C61×#538C22semidirect
148. C61×#538C22semidirect
149. C61×#538C22semidirect
150. C61×#538C22semidirect
151. C61×#538C22semidirect
152. C61×#538C22semidirect
153. C61×#538C22semidirect
154. C61×#538C22semidirect
155. C61×#538C22semidirect
156. C61×#538C22semidirect
157. C61×#538C22semidirect
158. C61×#537C22semidirect
159. C61×#537C22semidirect
160. C61×#536C22semidirect
161. C61×#535C22semidirect
162. C61×#535C22semidirect
163. C61×#535C22semidirect
164. C61×#534C22semidirect
165. C61×#534C22semidirect
166. C61×#534C22semidirect
167. C61×#534C22semidirect
168. C61×#534C22semidirect
169. C61×#534C22semidirect
170. C61×#532C22semidirect
171. C61×#532C22semidirect
172. C61×#532C22semidirect
173. C61×#529C22semidirect
174. C61×#529C22semidirect
175. C61×#529C22semidirect
176. C61×#529C22semidirect
177. C61×#529C22semidirect
178. C61×#529C22semidirect
179. C61×#529C22semidirect
180. C61×#529C22semidirect
181. C61×#529C22semidirect
182. C61×#529C22semidirect
183. C2×#125×C61C22semidirect
184. C2×#124×C61C22semidirect
185. C2×#124×C61C22semidirect
186. C61×#525C22semidirect
187. C61×#525C22semidirect
188. C61×#525C22semidirect
189. C61×#525C22semidirect
190. C61×#525C22semidirect
191. C61×#525C22semidirect
192. C2×#123×C61C22semidirect
193. C2×#123×C61C22semidirect
194. C2×C22⋊Q8×C61C22semidirect
195. C2×#121×C61C22semidirect
196. C2×#121×C61C22semidirect
197. C2×#121×C61C22semidirect
198. C61×#520C22semidirect
199. C61×#518C22semidirect
200. C61×#518C22semidirect
201. C4×#41×C61C22semidirect
202. C2×C4×D4×C61C22semidirect
885. #63055C61direct (N × H)
923. #3567C2×C61semidirect
924. #3566C2×C61semidirect
925. #3566C2×C61semidirect
926. #3562C2×C61semidirect
927. #3558C2×C61semidirect
928. #3558C2×C61semidirect
929. #3553C2×C61semidirect
930. #3545C2×C61semidirect
931. #3542C2×C61semidirect
932. #3541C2×C61semidirect
933. #3537C2×C61semidirect
934. #3534C2×C61semidirect
935. #3534C2×C61semidirect
936. #3533C2×C61semidirect
937. #3529C2×C61semidirect
938. C2×#562C2×C61semidirect
939. #3519C2×C61semidirect
940. #3514C2×C61semidirect
941. #3513C2×C61semidirect
942. #3512C2×C61semidirect
943. #3505C2×C61semidirect
952. #564C22×C61semidirect
953. #563C22×C61semidirect
954. #563C22×C61semidirect
955. #563C22×C61semidirect
956. #562C22×C61semidirect
957. #562C22×C61semidirect
958. #562C22×C61semidirect
959. #562C22×C61semidirect
960. #562C22×C61semidirect
961. #562C22×C61semidirect
962. #562C22×C61semidirect
963. #562C22×C61semidirect
964. #562C22×C61semidirect
965. #562C22×C61semidirect
966. #562C22×C61semidirect
967. #562C22×C61semidirect
968. #562C22×C61semidirect
969. H(3,𝔽4)C22×C61semidirect
970. H(3,𝔽4)C22×C61semidirect
971. #560C22×C61semidirect
972. #560C22×C61semidirect
973. #560C22×C61semidirect
974. #560C22×C61semidirect
975. #560C22×C61semidirect
976. #560C22×C61semidirect
977. #559C22×C61semidirect
978. #559C22×C61semidirect
979. #559C22×C61semidirect
980. #556C22×C61semidirect
981. #556C22×C61semidirect
982. #555C22×C61semidirect
983. #555C22×C61semidirect
984. #554C22×C61semidirect
985. #554C22×C61semidirect
986. #553C22×C61semidirect
987. #553C22×C61semidirect
988. #553C22×C61semidirect
989. #553C22×C61semidirect
990. #553C22×C61semidirect
991. #553C22×C61semidirect
992. #553C22×C61semidirect
993. #553C22×C61semidirect
994. #553C22×C61semidirect
995. #553C22×C61semidirect
996. #553C22×C61semidirect
997. #553C22×C61semidirect
998. #553C22×C61semidirect
999. #553C22×C61semidirect
1000. #552C22×C61semidirect
1001. #552C22×C61semidirect
1002. #552C22×C61semidirect
1003. #552C22×C61semidirect
1004. #552C22×C61semidirect
1005. #552C22×C61semidirect
1006. #551C22×C61semidirect
1007. #551C22×C61semidirect
1008. #551C22×C61semidirect
1009. #551C22×C61semidirect
1010. #551C22×C61semidirect
1011. #551C22×C61semidirect
1012. #551C22×C61semidirect
1013. #551C22×C61semidirect
1014. #551C22×C61semidirect
1015. #551C22×C61semidirect
1016. #550C22×C61semidirect
1017. D4×Q8C22×C61semidirect
1018. #548C22×C61semidirect
1019. #548C22×C61semidirect
1020. #548C22×C61semidirect
1021. #548C22×C61semidirect
1022. #547C22×C61semidirect
1023. #547C22×C61semidirect
1024. #546C22×C61semidirect
1025. #546C22×C61semidirect
1026. #546C22×C61semidirect
1027. #546C22×C61semidirect
1028. #546C22×C61semidirect
1029. #546C22×C61semidirect
1030. #546C22×C61semidirect
1031. #546C22×C61semidirect
1032. #546C22×C61semidirect
1033. #546C22×C61semidirect
1034. #546C22×C61semidirect
1035. #546C22×C61semidirect
1036. #546C22×C61semidirect
1037. #546C22×C61semidirect
1038. #546C22×C61semidirect
1039. D42C22×C61semidirect
1040. D42C22×C61semidirect
1041. D42C22×C61semidirect
1042. D42C22×C61semidirect
1043. D42C22×C61semidirect
1044. D42C22×C61semidirect
1045. D42C22×C61semidirect
1046. #542C22×C61semidirect
1047. #542C22×C61semidirect
1048. #542C22×C61semidirect
1049. #542C22×C61semidirect
1050. #542C22×C61semidirect
1051. #542C22×C61semidirect
1052. #541C22×C61semidirect
1053. #541C22×C61semidirect
1054. #541C22×C61semidirect
1055. #540C22×C61semidirect
1056. #540C22×C61semidirect
1057. #540C22×C61semidirect
1058. #540C22×C61semidirect
1059. #540C22×C61semidirect
1060. #540C22×C61semidirect
1061. #540C22×C61semidirect
1062. #540C22×C61semidirect
1063. #539C22×C61semidirect
1064. #539C22×C61semidirect
1065. #539C22×C61semidirect
1066. #539C22×C61semidirect
1067. #539C22×C61semidirect
1068. #539C22×C61semidirect
1069. #539C22×C61semidirect
1070. #539C22×C61semidirect
1071. #539C22×C61semidirect
1072. #538C22×C61semidirect
1073. #538C22×C61semidirect
1074. #538C22×C61semidirect
1075. #538C22×C61semidirect
1076. #538C22×C61semidirect
1077. #538C22×C61semidirect
1078. #538C22×C61semidirect
1079. #538C22×C61semidirect
1080. #538C22×C61semidirect
1081. #538C22×C61semidirect
1082. #538C22×C61semidirect
1083. #538C22×C61semidirect
1084. #538C22×C61semidirect
1085. #538C22×C61semidirect
1086. #538C22×C61semidirect
1087. #538C22×C61semidirect
1088. #537C22×C61semidirect
1089. #537C22×C61semidirect
1090. #536C22×C61semidirect
1091. #535C22×C61semidirect
1092. #535C22×C61semidirect
1093. #535C22×C61semidirect
1094. #534C22×C61semidirect
1095. #534C22×C61semidirect
1096. #534C22×C61semidirect
1097. #534C22×C61semidirect
1098. #534C22×C61semidirect
1099. #534C22×C61semidirect
1100. #532C22×C61semidirect
1101. #532C22×C61semidirect
1102. #532C22×C61semidirect
1103. #529C22×C61semidirect
1104. #529C22×C61semidirect
1105. #529C22×C61semidirect
1106. #529C22×C61semidirect
1107. #529C22×C61semidirect
1108. #529C22×C61semidirect
1109. #529C22×C61semidirect
1110. #529C22×C61semidirect
1111. #529C22×C61semidirect
1112. #529C22×C61semidirect
1113. C2×#125C22×C61semidirect
1114. C2×#124C22×C61semidirect
1115. C2×#124C22×C61semidirect
1116. #525C22×C61semidirect
1117. #525C22×C61semidirect
1118. #525C22×C61semidirect
1119. #525C22×C61semidirect
1120. #525C22×C61semidirect
1121. #525C22×C61semidirect
1122. C2×#123C22×C61semidirect
1123. C2×#123C22×C61semidirect
1124. C2×C22⋊Q8C22×C61semidirect
1125. C2×#121C22×C61semidirect
1126. C2×#121C22×C61semidirect
1127. C2×#121C22×C61semidirect
1128. #520C22×C61semidirect
1129. #518C22×C61semidirect
1130. #518C22×C61semidirect
1131. C4×#41C22×C61semidirect
1132. C2×C4×D4C22×C61semidirect
1133. C61#63055direct (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×#35622
C61×#35582
C61×#35532
C61×#35452
C61×#35422
C61×#35412
C61×#35372
C61×#35342
C61×#35332
C61×#35292
C2×C61×#5622
C61×#35192
C61×#35142
C61×#35132
C61×#35122
C61×#35052
#6305561