Finite Group Databasebeta

← C61×#62934 #29566367

Subgroups — C61×#62934 #29566367

Order 15616.

6454 conjugacy classes of subgroups.

The subgroup lattice has 2256 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3567C214yesmaximal, complemented
2C61×#3566C214yesmaximal, complemented
3C61×#3565C214yesmaximal, complemented
4C61×#3565C212yesmaximal, complemented
5C61×#3564C214yesmaximal, complemented
6C61×#3563C212yesmaximal, complemented
7C61×#3563C212yesmaximal, complemented
8C61×#3559C212yesmaximal, complemented
9C61×#3551C212yesmaximal, complemented
10C61×#3547C212yesmaximal, complemented
11C61×#3541C212yesmaximal, complemented
12C61×#3538C211yesmaximal, characteristic, complemented
13C61×#3536C211yesmaximal, characteristic, complemented
14C61×#3533C214yesmaximal, complemented
15C61×#3521C212yesmaximal, complemented
16C61×#3521C214yesmaximal, complemented
17C61×#3516C212yesmaximal, complemented
18C61×#3515C212yesmaximal, complemented
19C61×#3512C212yesmaximal, complemented
20C61×#3507C212yesmaximal, complemented
21C61×#3505C211yesmaximal, characteristic, complemented
22C61×#3495C211yesmaximal, characteristic, complemented
23C61×#3494C211yesmaximal, characteristic, complemented
24C61×#3493C212yesmaximal, complemented
25C61×#3492C212yesmaximal, complemented
26C61×#3482C212yesmaximal, complemented
27C2×C61×#552C211yesmaximal, characteristic, complemented
28C61×#3460C211yesmaximal, characteristic, complemented
29C61×#3455C212yesmaximal, complemented
30C61×#564C2214yescomplemented
31C61×#563C2214yes—
32C61×#563C2214yescomplemented
33C61×#563C2214yescomplemented
34C61×#563C2214yescomplemented
35C61×#563C2214yescomplemented
36C61×#562C2214yescomplemented
37C61×#562C2214yescomplemented
38C61×#562C2214yescomplemented
39C61×#562C2214yescomplemented
40C61×#562C2214yescomplemented
41C61×#560C2214yes—
42C61×#559C2214yes—
43C61×#557C2212yescomplemented
44C61×#557C2214yescomplemented
45C61×#557C2212yescomplemented
46C61×#556C2214yescomplemented
47C61×#556C2214yescomplemented
48C61×#556C2214yescomplemented
49C61×#556C2214yescomplemented
50C61×#556C2214yescomplemented
51C61×#556C2212yescomplemented
52C61×#556C2212yescomplemented
53C61×#556C2212yescomplemented
54C61×#555C2212yescomplemented
55C61×#555C2214yescomplemented
56C61×#555C2214yescomplemented
57C61×#554C2212yescomplemented
58C61×#554C2214yescomplemented
59C61×#554C2212yescomplemented
60C61×#554C2214yescomplemented
61C61×#554C2214yescomplemented
62C61×#554C2212yescomplemented
63C61×#554C2212yescomplemented
64C61×#554C2212yescomplemented
65C61×#553C2214yes—
66C61×#553C2212yes—
67C61×#553C2212yes—
68C61×#553C2214yescomplemented
69C61×#553C2212yescomplemented
70C61×#553C2212yescomplemented
71C61×#553C2214yescomplemented
72C61×#553C2214yescomplemented
73C61×#553C2214yescomplemented
74C61×#553C2214yescomplemented
75C61×#553C2214yescomplemented
76C61×#553C2214yescomplemented
77C61×#553C2214yescomplemented
78C61×#553C2214yescomplemented
79C61×#553C2212yescomplemented
80C61×#553C2212yescomplemented
81C61×#552C2212yes—
82C61×#552C2212yes—
83C61×#552C2214yes—
84C61×#552C2212yes—
85C61×#552C2212yescomplemented
86C61×#552C2212yescomplemented
87C61×#552C2212yescomplemented
88C61×#552C2214yescomplemented
89C61×#552C2214yescomplemented
90C61×#552C2214yescomplemented
91C61×#552C2214yescomplemented
92C61×#552C2214yescomplemented
93C61×#552C2212yescomplemented
94C61×#552C2214yescomplemented
95C61×#552C2214yescomplemented
96C61×#552C2214yescomplemented
97C61×#552C2214yescomplemented
98C61×#552C2214yescomplemented
99C61×#552C2214yescomplemented
100C61×#552C2214yescomplemented
101C61×#552C2212yescomplemented
102C61×#552C2214yescomplemented
103C61×#552C2212yescomplemented
104C61×#552C2212yescomplemented
105C61×#552C2212yescomplemented
106C61×#552C2212yescomplemented
107C61×#551C2214yes—
108C61×#551C2214yes—
109C61×#551C2214yes—
110C61×#551C2214yes—
111C61×#551C2214yescomplemented
112C61×#551C2214yescomplemented
113C61×#551C2214yescomplemented
114D4×Q8×C61C2212yescomplemented
115D4×Q8×C61C2212yescomplemented
116C61×#548C2212yes—
117C61×#548C2212yes—
118C61×#548C2212yescomplemented
119C61×#548C2212yescomplemented
120C61×#547C2212yes—
121C61×#547C2212yes—
122C61×#547C2212yescomplemented
123C61×#547C2214yescomplemented
124C61×#547C2214yescomplemented
125C61×#547C2214yescomplemented
126C61×#546C2212yes—
127C61×#546C2214yes—
128C61×#546C2214yes—
129C61×#546C2212yescomplemented
130C61×#544C2214yescomplemented
131C61×#544C2214yescomplemented
132C61×#544C2211yescharacteristic, complemented
133C61×#544C2211yescharacteristic, complemented
134C61×#544C2212yescomplemented
135C61×#544C2212yescomplemented
136C61×#544C2211yescharacteristic, complemented
137C61×#544C2212yescomplemented
138C61×#543C2212yescomplemented
139C61×#542C2212yes—
140C61×#542C2214yescomplemented
141C61×#542C2214yescomplemented
142C61×#542C2212yescomplemented
143C61×#542C2212yescomplemented
144C61×#542C2214yescomplemented
145C61×#542C2214yescomplemented
146C61×#542C2214yescomplemented
147C61×#542C2214yescomplemented
148C61×#542C2212yescomplemented
149C61×#542C2212yescomplemented
150C61×#542C2212yescomplemented
151C61×#541C2214yescomplemented
152C61×#541C2214yescomplemented
153C61×#541C2214yescomplemented
154C61×#541C2214yescomplemented
155C61×#541C2214yescomplemented
156C61×#541C2212yescomplemented
157C61×#541C2212yescomplemented
158C61×#541C2212yescomplemented
159C61×#541C2214yescomplemented
160C61×#540C2212yes—
161C61×#540C2214yescomplemented
162C61×#540C2214yescomplemented
163C61×#540C2214yescomplemented
164C61×#540C2212yescomplemented
165C61×#540C2212yescomplemented
166C61×#540C2214yescomplemented
167C61×#539C2212yes—
168C61×#539C2214yes—
169C61×#539C2212yes—
170C61×#539C2214yes—
171C61×#539C2214yescomplemented
172C61×#539C2214yescomplemented
173C61×#539C2212yescomplemented
174C61×#539C2214yescomplemented
175C61×#539C2214yescomplemented
176C61×#539C2214yescomplemented
177C61×#539C2214yescomplemented
178C61×#539C2214yescomplemented
179C61×#539C2212yescomplemented
180C61×#539C2214yescomplemented
181C61×#538C2214yes—
182C61×#538C2214yes—
183C61×#538C2212yes—
184C61×#538C2212yes—
185C61×#538C2214yescomplemented
186C61×#538C2212yescomplemented
187C61×#538C2211yescharacteristic, complemented
188C61×#538C2214yescomplemented
189C61×#538C2211yescharacteristic, complemented
190C61×#538C2214yescomplemented
191C61×#537C2212yes—
192C61×#537C2212yescomplemented
193C61×#537C2212yescomplemented
194C61×#537C2212yescomplemented
195C61×#537C2211yescharacteristic, complemented
196C61×#536C2211yescharacteristic, complemented
197C61×#536C2212yescomplemented
198C61×#536C2212yescomplemented
199C61×#535C2212yes—
200C61×#535C2211yescharacteristic, complemented
201C61×#534C2212yes—
202C61×#533C2212yescomplemented
203C61×#533C2212yescomplemented
204C61×#533C2214yescomplemented
205C61×#533C2212yescomplemented
206C61×#532C2212yes—
207C61×#532C2212yes—
208C61×#532C2212yescomplemented
209C61×#529C2212yes—
210C61×#529C2212yes—
211C61×#529C2212yes—
212C61×#529C2212yescomplemented
213C61×#529C2212yescomplemented
214C61×#529C2212yescomplemented
215C61×#529C2212yescomplemented
216C61×#529C2214yescomplemented
217C61×#529C2214yescomplemented
218C61×#529C2212yescomplemented
219C61×#529C2214yescomplemented
220C61×#529C2214yescomplemented
221C61×#529C2214yescomplemented
222C61×#529C2214yescomplemented
223C61×#529C2214yescomplemented
224C61×#529C2214yescomplemented
225C61×#529C2214yescomplemented
226C2×#126×C61C2212yes—
227C2×#126×C61C2214yescomplemented
228C2×#125×C61C2212yescomplemented
229C2×#125×C61C2212yescomplemented
230C2×#125×C61C2211yescharacteristic, complemented
231C61×#525C2211yescharacteristic
232C61×#525C2211yescharacteristic
233C61×#525C2212yes—
234C61×#525C2214yescomplemented
235C61×#525C2212yescomplemented
236C61×#525C2214yescomplemented
237C2×#123×C61C2212yes—
238C2×C22⋊Q8×C61C2211yescharacteristic
239C2×C22⋊Q8×C61C2211yescharacteristic
240C2×C22⋊Q8×C61C2211yescharacteristic, complemented
241C2×#121×C61C2211yescharacteristic
242C61×#520C2212yescomplemented
243C61×#520C2212yescomplemented
244C61×#520C2214yescomplemented
245C61×#520C2211yescharacteristic, complemented
246C61×#520C2211yescharacteristic, complemented
247C61×#519C2211yescharacteristic, complemented
248C61×#518C2212yes—
249C61×#518C2211yescharacteristic, complemented
250C4×#41×C61C2214yescomplemented
251C4×#41×C61C2212yescomplemented
252C4×#41×C61C2212yescomplemented
253C2×C4×Q8×C61C2211yescharacteristic, complemented
254C2×C4×Q8×C61C2212yescomplemented
255C2×C4×D4×C61C2211yescharacteristic
256C2×#117×C61C2211yescharacteristic
257C2×#117×C61C2212yescomplemented
258C22×C4⋊C4×C61C2211yescharacteristic, complemented
259C2×#41×C61C2311yescharacteristic
260C2×#41×C61C2312yes—
261C2×#41×C61C2314yes—
262C2×#41×C61C2311yescharacteristic
263C2×#41×C61C2312yes—
264C2×#41×C61C2314yes—
265C2×#41×C61C2312yes—
266C2×#41×C61C2312yes—
267C22×Q8×C61C2312yes—
268C22×Q8×C61C2311yescharacteristic
269C22×Q8×C61C2311yescharacteristic
270C22×D4×C61C2311yescharacteristic
271C22×D4×C61C2312yes—
272C22×D4×C61C2311yescharacteristic
273C23×C4×C61C2312yes—
274C23×C4×C61C2311yescharacteristic
275C23×C4×C61C2311yescharacteristic
276C4⋊Q8×C61C2312yes—
277C4⋊Q8×C61C2312yes—
278C4⋊Q8×C61C2312yes—
279C4⋊Q8×C61C2312yes—
280C4⋊Q8×C61C2312yes—
281C4⋊Q8×C61C2312yes—
282C4⋊Q8×C61C2312yes—
283C4⋊Q8×C61C2314yes—
284C4⋊Q8×C61C2314yes—
285C4⋊Q8×C61C2312yes—
286C4⋊Q8×C61C2312yes—
287C4⋊Q8×C61C2314yes—
288C4⋊Q8×C61C2314yes—
289C4⋊Q8×C61C2314yes—
290C4⋊Q8×C61C2314yes—
291C4⋊Q8×C61C2314yes—
292#127×C61C2312yes—
293#127×C61C2312yes—
294#127×C61C2312yes—
295#126×C61C2312yes—
296#126×C61C2314yes—
297#126×C61C2314yes—
298#126×C61C2314yes—
299#126×C61C2314yes—
300#126×C61C2314yes—
301#126×C61C2312yes—
302#126×C61C2314yes—
303#126×C61C2314yes—
304#126×C61C2314yes—
305#126×C61C2314yes—
306#126×C61C2314yes—
307#126×C61C2312yes—
308#126×C61C2314yes—
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×C61C2314yes—
328#126×C61C2314yes—
329#126×C61C2314yes—
330#126×C61C2314yes—
331#126×C61C2314yes—
332#126×C61C2314yes—
333#125×C61C2314yes—
334#125×C61C2314yes—
335#125×C61C2314yes—
336#125×C61C2314yes—
337#125×C61C2312yes—
338#125×C61C2312yes—
339#125×C61C2314yes—
340#125×C61C2314yes—
341#125×C61C2314yes—
342#125×C61C2314yes—
343#125×C61C2314yes—
344#125×C61C2314yes—
345#125×C61C2314yes—
346#125×C61C2314yes—
347#125×C61C2314yes—
348#125×C61C2314yes—
349#125×C61C2314yes—
350#125×C61C2314yes—
351#125×C61C2314yes—
352#125×C61C2314yes—
353#125×C61C2314yes—
354#125×C61C2314yes—
355#125×C61C2314yes—
356#125×C61C2314yes—
357#125×C61C2312yes—
358#125×C61C2314yes—
359#125×C61C2314yes—
360#125×C61C2312yes—
361#125×C61C2312yes—
362#125×C61C2314yes—
363#125×C61C2314yes—
364#125×C61C2314yes—
365#125×C61C2314yes—
366#125×C61C2314yes—
367#125×C61C2312yes—
368#125×C61C2312yes—
369#125×C61C2312yes—
370#125×C61C2312yes—
371#125×C61C2312yes—
372#124×C61C2312yes—
373#124×C61C2312yes—
374#124×C61C2314yes—
375#124×C61C2312yes—
376#124×C61C2312yes—
377#124×C61C2312yes—
378#124×C61C2312yes—
379#124×C61C2312yes—
380#124×C61C2314yes—
381#124×C61C2314yes—
382#124×C61C2312yes—
383#124×C61C2314yes—
384#124×C61C2314yes—
385#124×C61C2314yes—
386#124×C61C2314yes—
387#124×C61C2314yes—
388#124×C61C2314yes—
389#124×C61C2314yes—
390#124×C61C2314yes—
391#124×C61C2314yes—
392#124×C61C2312yes—
393#124×C61C2312yes—
394#123×C61C2314yes—
395#123×C61C2314yes—
396#123×C61C2314yes—
397#123×C61C2314yes—
398#123×C61C2314yes—
399#123×C61C2314yes—
400#123×C61C2314yes—
401#123×C61C2314yes—
402#123×C61C2314yes—
403#123×C61C2312yes—
404#123×C61C2314yes—
405#123×C61C2312yes—
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×C61C2314yes—
419#123×C61C2312yes—
420#123×C61C2312yes—
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×C61C2312yes—
437#123×C61C2314yes—
438#123×C61C2314yes—
439#123×C61C2314yes—
440C22⋊Q8×C61C2311yescharacteristic
441C22⋊Q8×C61C2312yes—
442C22⋊Q8×C61C2312yes—
443C22⋊Q8×C61C2312yes—
444C22⋊Q8×C61C2314yes—
445C22⋊Q8×C61C2314yes—
446C22⋊Q8×C61C2314yes—
447C22⋊Q8×C61C2314yes—
448C22⋊Q8×C61C2314yes—
449C22⋊Q8×C61C2314yes—
450C22⋊Q8×C61C2314yes—
451C22⋊Q8×C61C2314yes—
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×C61C2312yes—
463C22⋊Q8×C61C2312yes—
464C22⋊Q8×C61C2314yes—
465C22⋊Q8×C61C2312yes—
466C22⋊Q8×C61C2314yes—
467C22⋊Q8×C61C2312yes—
468C22⋊Q8×C61C2314yes—
469C22⋊Q8×C61C2312yes—
470C22⋊Q8×C61C2314yes—
471C22⋊Q8×C61C2312yes—
472C22⋊Q8×C61C2311yescharacteristic
473C22⋊Q8×C61C2314yes—
474C22⋊Q8×C61C2314yes—
475C22⋊Q8×C61C2314yes—
476C22⋊Q8×C61C2314yes—
477C22⋊Q8×C61C2314yes—
478C22⋊Q8×C61C2314yes—
479C22⋊Q8×C61C2314yes—
480C22⋊Q8×C61C2314yes—
481C22⋊Q8×C61C2314yes—
482C22⋊Q8×C61C2314yes—
483C22⋊Q8×C61C2314yes—
484C22⋊Q8×C61C2314yes—
485C22⋊Q8×C61C2314yes—
486C22⋊Q8×C61C2314yes—
487C22⋊Q8×C61C2314yes—
488C22⋊Q8×C61C2314yes—
489C22⋊Q8×C61C2314yes—
490C22⋊Q8×C61C2312yes—
491C22⋊Q8×C61C2314yes—
492C22⋊Q8×C61C2311yescharacteristic
493C22⋊Q8×C61C2312yes—
494C22⋊Q8×C61C2314yes—
495C22⋊Q8×C61C2312yes—
496C22⋊Q8×C61C2311yescharacteristic
497C22⋊Q8×C61C2314yes—
498C22⋊Q8×C61C2312yes—
499#121×C61C2311yescharacteristic
500#121×C61C2312yes—
501#121×C61C2312yes—
502#121×C61C2312yes—
503#121×C61C2312yes—
504#121×C61C2314yes—
505#121×C61C2312yes—
506#121×C61C2312yes—
507#121×C61C2312yes—
508#121×C61C2312yes—
509#121×C61C2312yes—
510#121×C61C2314yes—
511#121×C61C2314yes—
512#121×C61C2312yes—
513#121×C61C2312yes—
514#121×C61C2312yes—
515#121×C61C2312yes—
516#121×C61C2311yescharacteristic
517#121×C61C2314yes—
518#121×C61C2314yes—
519#121×C61C2314yes—
520#121×C61C2312yes—
521#121×C61C2314yes—
522#121×C61C2314yes—
523#121×C61C2312yes—
524#121×C61C2314yes—
525#121×C61C2314yes—
526#121×C61C2314yes—
527#121×C61C2314yes—
528#121×C61C2314yes—
529#121×C61C2314yes—
530#121×C61C2312yes—
531#121×C61C2312yes—
532#121×C61C2314yes—
533#121×C61C2314yes—
534#121×C61C2314yes—
535#121×C61C2311yescharacteristic
536#121×C61C2314yes—
537#121×C61C2311yescharacteristic
538#121×C61C2314yes—
539#121×C61C2314yes—
540#121×C61C2312yes—
541#121×C61C2314yes—
542#121×C61C2314yes—
543#121×C61C2312yes—
544#121×C61C2314yes—
545#121×C61C2312yes—
546#120×C61C2314yes—
547#120×C61C2314yes—
548#120×C61C2312yes—
549#120×C61C2312yes—
550#120×C61C2312yes—
551#120×C61C2312yes—
552#120×C61C2314yes—
553#120×C61C2314yes—
554C4×Q8×C61C2312yes—
555C4×Q8×C61C2314yes—
556C4×Q8×C61C2312yes—
557C4×Q8×C61C2312yes—
558C4×Q8×C61C2314yes—
559C4×Q8×C61C2314yes—
560C4×Q8×C61C2312yes—
561C4×Q8×C61C2312yes—
562C4×Q8×C61C2314yes—
563C4×Q8×C61C2314yes—
564C4×Q8×C61C2314yes—
565C4×Q8×C61C2312yes—
566C4×Q8×C61C2312yes—
567C4×Q8×C61C2314yes—
568C4×Q8×C61C2314yes—
569C4×Q8×C61C2314yes—
570C4×Q8×C61C2312yes—
571C4×Q8×C61C2312yes—
572C4×Q8×C61C2314yes—
573C4×Q8×C61C2314yes—
574C4×Q8×C61C2312yes—
575C4×Q8×C61C2312yes—
576C4×Q8×C61C2312yes—
577C4×Q8×C61C2312yes—
578C4×Q8×C61C2312yes—
579C4×D4×C61C2312yes—
580C4×D4×C61C2312yes—
581C4×D4×C61C2312yes—
582C4×D4×C61C2312yes—
583C4×D4×C61C2312yes—
584C4×D4×C61C2312yes—
585C4×D4×C61C2314yes—
586C4×D4×C61C2312yes—
587C4×D4×C61C2312yes—
588C4×D4×C61C2312yes—
589C4×D4×C61C2312yes—
590C4×D4×C61C2312yes—
591C4×D4×C61C2314yes—
592C4×D4×C61C2314yes—
593C4×D4×C61C2314yes—
594C4×D4×C61C2314yes—
595C4×D4×C61C2314yes—
596C4×D4×C61C2314yes—
597C4×D4×C61C2314yes—
598C4×D4×C61C2314yes—
599C4×D4×C61C2314yes—
600C4×D4×C61C2314yes—
601C4×D4×C61C2314yes—
602C4×D4×C61C2314yes—
603C4×D4×C61C2314yes—
604C4×D4×C61C2314yes—
605C4×D4×C61C2314yes—
606C4×D4×C61C2314yes—
607C4×D4×C61C2312yes—
608C4×D4×C61C2314yes—
609C4×D4×C61C2314yes—
610C4×D4×C61C2314yes—
611C4×D4×C61C2314yes—
612C4×D4×C61C2314yes—
613C4×D4×C61C2314yes—
614C4×D4×C61C2314yes—
615C4×D4×C61C2314yes—
616C4×D4×C61C2312yes—
617C4×D4×C61C2314yes—
618C4×D4×C61C2312yes—
619C4×D4×C61C2314yes—
620C4×D4×C61C2312yes—
621C4×D4×C61C2312yes—
622C4×D4×C61C2312yes—
623C4×D4×C61C2314yes—
624C4×D4×C61C2312yes—
625C4×D4×C61C2312yes—
626C4×D4×C61C2312yes—
627C4×D4×C61C2312yes—
628C4×D4×C61C2312yes—
629C4×D4×C61C2314yes—
630C4×D4×C61C2314yes—
631C4×D4×C61C2314yes—
632#117×C61C2312yes—
633#117×C61C2312yes—
634#117×C61C2314yes—
635#117×C61C2314yes—
636#117×C61C2314yes—
637#117×C61C2314yes—
638#117×C61C2312yes—
639#117×C61C2311yescharacteristic
640#117×C61C2311yescharacteristic
641#117×C61C2312yes—
642#117×C61C2314yes—
643#117×C61C2314yes—
644#117×C61C2312yes—
645#117×C61C2312yes—
646#117×C61C2314yes—
647#117×C61C2314yes—
648#117×C61C2311yescharacteristic
649#117×C61C2312yes—
650#117×C61C2312yes—
651#117×C61C2314yes—
652#117×C61C2314yes—
653#117×C61C2314yes—
654#117×C61C2314yes—
655#117×C61C2311yescharacteristic
656#117×C61C2314yes—
657#117×C61C2314yes—
658#117×C61C2314yes—
659#117×C61C2314yes—
660#117×C61C2314yes—
661#117×C61C2314yes—
662#117×C61C2312yes—
663#117×C61C2314yes—
664#117×C61C2311yescharacteristic
665#117×C61C2314yes—
666#117×C61C2314yes—
667#117×C61C2311yescharacteristic
668#117×C61C2312yes—
669#117×C61C2314yes—
670C2×C4⋊C4×C61C2312yes—
671C2×C4⋊C4×C61C2311yescharacteristic
672C2×C4⋊C4×C61C2312yes—
673C2×C4⋊C4×C61C2312yes—
674C2×C4⋊C4×C61C2312yes—
675C2×C4⋊C4×C61C2314yes—
676C2×C4⋊C4×C61C2314yes—
677C2×C4⋊C4×C61C2314yes—
678C2×C4⋊C4×C61C2312yes—
679C2×C4⋊C4×C61C2314yes—
680C2×C4⋊C4×C61C2312yes—
681C2×C4⋊C4×C61C2314yes—
682C2×C4⋊C4×C61C2314yes—
683C2×C4⋊C4×C61C2314yes—
684C2×C4⋊C4×C61C2311yescharacteristic
685C2×C4⋊C4×C61C2311yescharacteristic
686C2×C4⋊C4×C61C2311yescharacteristic
687C2×C4⋊C4×C61C2311yescharacteristic
688C2×C4⋊C4×C61C2312yes—
689C2×C4⋊C4×C61C2312yes—
690C2×C4⋊C4×C61C2312yes—
691C2×C4⋊C4×C61C2312yes—
692C2×C4⋊C4×C61C2312yes—
693C2×C4⋊C4×C61C2311yescharacteristic
694C2×C4⋊C4×C61C2312yes—
695C2×C22⋊C4×C61C2312yes—
696C2×C22⋊C4×C61C2311yescharacteristic
697C2×C22⋊C4×C61C2311yescharacteristic
698C2×C22⋊C4×C61C2314yes—
699C2×C22⋊C4×C61C2314yes—
700C2×C22⋊C4×C61C2312yes—
701C2×C22⋊C4×C61C2312yes—
702C2×C22⋊C4×C61C2314yes—
703C2×C22⋊C4×C61C2312yes—
704C2×C22⋊C4×C61C2312yes—
705C2×C42×C61C2312yes—
706C2×C42×C61C2312yes—
707C2×C42×C61C2312yes—
708C2×C42×C61C2314yes—
709C2×C42×C61C2312yes—
710C2×C42×C61C2311yescharacteristic
711C2×C42×C61C2314yes—
712C24×C61C2411yescharacteristic
713C24×C61C2411yescharacteristic
714C24×C61C2412yes—
715#41×C61—42no—
716#41×C61—42no—
717#41×C61—44no—
718#41×C61—48no—
719#41×C61—48no—
720#41×C61—44no—
721#41×C61—44no—
722#41×C61—44no—
723C2×Q8×C61—42no—
724C2×Q8×C61—42no—
725C2×Q8×C61—44no—
726C2×Q8×C61C2412yes—
727C2×Q8×C61C2412yes—
728C2×Q8×C61C2414yes—
729C2×Q8×C61C2412yes—
730C2×Q8×C61C2414yes—
731C2×Q8×C61C2412yes—
732C2×Q8×C61C2412yes—
733C2×Q8×C61C2412yes—
734C2×Q8×C61C2414yes—
735C2×Q8×C61C2411yescharacteristic
736C2×Q8×C61C2414yes—
737C2×Q8×C61C2411yescharacteristic
738C2×D4×C61—42no—
739C2×D4×C61—42no—
740C2×D4×C61—44no—
741C2×D4×C61C2412yes—
742C2×D4×C61C2412yes—
743C2×D4×C61C2414yes—
744C2×D4×C61C2412yes—
745C2×D4×C61C2412yes—
746C2×D4×C61C2414yes—
747C2×D4×C61C2414yes—
748C2×D4×C61C2412yes—
749C2×D4×C61C2412yes—
750C2×D4×C61C2412yes—
751C2×D4×C61C2412yes—
752C2×D4×C61C2414yes—
753C2×D4×C61C2412yes—
754C2×D4×C61C2414yes—
755C2×D4×C61C2414yes—
756C2×D4×C61C2414yes—
757C2×D4×C61C2412yes—
758C2×D4×C61C2412yes—
759C2×D4×C61C2412yes—
760C2×D4×C61C2412yes—
761C2×D4×C61C2411yescharacteristic
762C2×D4×C61C2414yes—
763C2×D4×C61C2412yes—
764C2×D4×C61C2412yes—
765C2×D4×C61C2412yes—
766C2×D4×C61C2411yescharacteristic
767C22×C4×C61—42no—
768C22×C4×C61—42no—
769C22×C4×C61—44no—
770C22×C4×C61C2412yes—
771C22×C4×C61C2411yescharacteristic
772C22×C4×C61C2411yescharacteristic
773C22×C4×C61C2412yes—
774C22×C4×C61C2412yes—
775C22×C4×C61C2412yes—
776C22×C4×C61C2412yes—
777C22×C4×C61C2411yescharacteristic
778C22×C4×C61C2411yescharacteristic
779C22×C4×C61C2411yescharacteristic
780C22×C4×C61C2412yes—
781C22×C4×C61C2411yescharacteristic
782C22×C4×C61C2412yes—
783C22×C4×C61C2412yes—
784C22×C4×C61C2414yes—
785C22×C4×C61C2414yes—
786C22×C4×C61C2414yes—
787C22×C4×C61C2412yes—
788C22×C4×C61C2414yes—
789C22×C4×C61C2412yes—
790C22×C4×C61C2412yes—
791C22×C4×C61C2414yes—
792C22×C4×C61C2411yescharacteristic
793C22×C4×C61C2411yescharacteristic
794C22×C4×C61C2414yes—
795C22×C4×C61C2412yes—
796C22×C4×C61C2414yes—
797C22×C4×C61C2414yes—
798C22×C4×C61C2412yes—
799C22×C4×C61C2412yes—
800C22×C4×C61C2414yes—
801C22×C4×C61C2414yes—
802C22×C4×C61C2414yes—
803C22×C4×C61C2414yes—
804C22×C4×C61C2411yescharacteristic
805C22×C4×C61C2412yes—
806C4⋊C4×C61C2411yescharacteristic
807C4⋊C4×C61C2412yes—
808C4⋊C4×C61C2414yes—
809C4⋊C4×C61C2411yescharacteristic
810C4⋊C4×C61C2411yescharacteristic
811C4⋊C4×C61C2412yes—
812C4⋊C4×C61C2412yes—
813C4⋊C4×C61C2414yes—
814C4⋊C4×C61C2412yes—
815C4⋊C4×C61C2412yes—
816C4⋊C4×C61C2414yes—
817C4⋊C4×C61C2414yes—
818C4⋊C4×C61C2414yes—
819C4⋊C4×C61C2414yes—
820C4⋊C4×C61C2412yes—
821C4⋊C4×C61C2412yes—
822C4⋊C4×C61C2414yes—
823C4⋊C4×C61C2412yes—
824C4⋊C4×C61C2414yes—
825C4⋊C4×C61C2414yes—
826C4⋊C4×C61C2411yescharacteristic
827C4⋊C4×C61C2414yes—
828C4⋊C4×C61C2414yes—
829C4⋊C4×C61C2414yes—
830C4⋊C4×C61C2412yes—
831C4⋊C4×C61C2414yes—
832C4⋊C4×C61C2414yes—
833C4⋊C4×C61C2414yes—
834C4⋊C4×C61C2414yes—
835C4⋊C4×C61C2414yes—
836C4⋊C4×C61C2414yes—
837C4⋊C4×C61C2414yes—
838C4⋊C4×C61C2414yes—
839C4⋊C4×C61C2414yes—
840C4⋊C4×C61C2414yes—
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×C61C2414yes—
852C4⋊C4×C61C2414yes—
853C4⋊C4×C61C2412yes—
854C4⋊C4×C61C2414yes—
855C4⋊C4×C61C2412yes—
856C4⋊C4×C61C2414yes—
857C4⋊C4×C61C2412yes—
858C4⋊C4×C61C2414yes—
859C4⋊C4×C61C2414yes—
860C4⋊C4×C61C2411yescharacteristic
861C4⋊C4×C61C2411yescharacteristic
862C4⋊C4×C61C2414yes—
863C4⋊C4×C61C2412yes—
864C4⋊C4×C61C2412yes—
865C4⋊C4×C61C2414yes—
866C4⋊C4×C61C2414yes—
867C4⋊C4×C61C2414yes—
868C4⋊C4×C61C2412yes—
869C4⋊C4×C61C2412yes—
870C4⋊C4×C61C2414yes—
871C4⋊C4×C61C2414yes—
872C4⋊C4×C61C2411yescharacteristic
873C4⋊C4×C61C2414yes—
874C4⋊C4×C61C2411yescharacteristic
875C4⋊C4×C61C2414yes—
876C4⋊C4×C61C2412yes—
877C4⋊C4×C61C2412yes—
878C22⋊C4×C61C2412yes—
879C22⋊C4×C61C2412yes—
880C22⋊C4×C61C2412yes—
881C22⋊C4×C61C2414yes—
882C22⋊C4×C61C2412yes—
883C22⋊C4×C61C2414yes—
884C22⋊C4×C61C2412yes—
885C22⋊C4×C61C2412yes—
886C22⋊C4×C61C2412yes—
887C22⋊C4×C61C2414yes—
888C22⋊C4×C61C2414yes—
889C22⋊C4×C61C2414yes—
890C22⋊C4×C61C2412yes—
891C22⋊C4×C61C2414yes—
892C22⋊C4×C61C2412yes—
893C22⋊C4×C61C2414yes—
894C22⋊C4×C61C2414yes—
895C22⋊C4×C61C2414yes—
896C22⋊C4×C61C2414yes—
897C22⋊C4×C61C2414yes—
898C22⋊C4×C61C2414yes—
899C22⋊C4×C61C2412yes—
900C22⋊C4×C61C2414yes—
901C22⋊C4×C61C2414yes—
902C22⋊C4×C61C2412yes—
903C22⋊C4×C61C2412yes—
904C22⋊C4×C61C2412yes—
905C22⋊C4×C61C2412yes—
906C22⋊C4×C61C2412yes—
907C22⋊C4×C61C2414yes—
908C22⋊C4×C61C2414yes—
909C22⋊C4×C61C2412yes—
910C22⋊C4×C61C2412yes—
911C22⋊C4×C61C2414yes—
912C22⋊C4×C61C2414yes—
913C22⋊C4×C61C2412yes—
914C22⋊C4×C61C2414yes—
915C22⋊C4×C61C2414yes—
916C22⋊C4×C61C2414yes—
917C22⋊C4×C61C2414yes—
918C22⋊C4×C61C2414yes—
919C22⋊C4×C61C2412yes—
920C22⋊C4×C61C2412yes—
921C22⋊C4×C61C2414yes—
922C22⋊C4×C61C2414yes—
923C22⋊C4×C61C2412yes—
924C22⋊C4×C61C2412yes—
925C22⋊C4×C61C2414yes—
926C22⋊C4×C61C2414yes—
927C22⋊C4×C61C2414yes—
928C22⋊C4×C61C2412yes—
929C22⋊C4×C61C2414yes—
930C22⋊C4×C61C2412yes—
931C22⋊C4×C61C2412yes—
932C22⋊C4×C61C2414yes—
933C22⋊C4×C61C2412yes—
934C42×C61C2414yes—
935C42×C61C2412yes—
936C42×C61C2412yes—
937C42×C61C2412yes—
938C42×C61C2412yes—
939C42×C61C2412yes—
940C42×C61C2412yes—
941C42×C61C2412yes—
942C42×C61C2414yes—
943C42×C61C2412yes—
944C42×C61C2414yes—
945C42×C61C2414yes—
946C42×C61C2414yes—
947C42×C61C2412yes—
948C42×C61C2412yes—
949C42×C61C2412yes—
950C42×C61C2414yes—
951C42×C61C2412yes—
952C42×C61C2414yes—
953C42×C61C2414yes—
954C42×C61C2414yes—
955C42×C61C2414yes—
956C42×C61C2414yes—
957C42×C61C2414yes—
958C23×C61—22no—
959C23×C61—22no—
960C23×C61—41no—
961C23×C61—41no—
962C23×C61—41no—
963C23×C61—41no—
964C23×C61—42no—
965C23×C61—42no—
966C23×C61—42no—
967C23×C61C2511yescharacteristic
968C23×C61C2511yescharacteristic
969C23×C61C2512yes—
970C23×C61C2514yes—
971C23×C61C2512yes—
972C23×C61C2512yes—
973C23×C61C2511yescharacteristic
974Q8×C61—24no—
975Q8×C61—24no—
976Q8×C61—42no—
977Q8×C61—42no—
978Q8×C61—44no—
979Q8×C61—44no—
980Q8×C61—42no—
981Q8×C61—44no—
982Q8×C61—41no—
983Q8×C61—42no—
984Q8×C61—41no—
985Q8×C61—44no—
986D4×C61—28no—
987D4×C61—24no—
988D4×C61—24no—
989D4×C61—24no—
990D4×C61—42no—
991D4×C61—42no—
992D4×C61—42no—
993D4×C61—44no—
994D4×C61—42no—
995D4×C61—42no—
996D4×C61—44no—
997D4×C61—44no—
998D4×C61—42no—
999D4×C61—42no—
1000D4×C61—42no—
1001D4×C61—44no—
1002D4×C61—41no—
1003D4×C61—42no—
1004D4×C61—42no—
1005D4×C61—42no—
1006D4×C61—44no—
1007D4×C61—41no—
1008D4×C61—42no—
1009D4×C61—42no—
1010D4×C61—44no—
1011D4×C61—44no—
1012C2×C4×C61—24no—
1013C2×C4×C61—24no—
1014C2×C4×C61—22no—
1015C2×C4×C61—22no—
1016C2×C4×C61—22no—
1017C2×C4×C61—22no—
1018C2×C4×C61—24no—
1019C2×C4×C61—24no—
1020C2×C4×C61—24no—
1021C2×C4×C61—44no—
1022C2×C4×C61—41no—
1023C2×C4×C61—42no—
1024C2×C4×C61—44no—
1025C2×C4×C61—41no—
1026C2×C4×C61—41no—
1027C2×C4×C61—41no—
1028C2×C4×C61—41no—
1029C2×C4×C61—42no—
1030C2×C4×C61—44no—
1031C2×C4×C61—42no—
1032C2×C4×C61—44no—
1033C2×C4×C61—42no—
1034C2×C4×C61—44no—
1035C2×C4×C61—42no—
1036C2×C4×C61—42no—
1037C2×C4×C61—42no—
1038C2×C4×C61—42no—
1039C2×C4×C61—44no—
1040C2×C4×C61—44no—
1041C2×C4×C61—44no—
1042C2×C4×C61—44no—
1043C2×C4×C61—44no—
1044C2×C4×C61—44no—
1045C2×C4×C61—42no—
1046C2×C4×C61—42no—
1047C2×C4×C61—44no—
1048C2×C4×C61C2512yes—
1049C2×C4×C61C2512yes—
1050C2×C4×C61C2512yes—
1051C2×C4×C61C2512yes—
1052C2×C4×C61C2512yes—
1053C2×C4×C61C2514yes—
1054C2×C4×C61C2511yescharacteristic
1055C2×C4×C61C2512yes—
1056C2×C4×C61C2512yes—
1057C2×C4×C61C2514yes—
1058C2×C4×C61C2514yes—
1059C2×C4×C61C2512yes—
1060C2×C4×C61C2512yes—
1061C2×C4×C61C2512yes—
1062C2×C4×C61C2512yes—
1063C2×C4×C61C2514yes—
1064C2×C4×C61C2512yes—
1065C2×C4×C61C2511yescharacteristic
1066C2×C4×C61C2511yescharacteristic
1067C2×C4×C61C2512yes—
1068C2×C4×C61C2514yes—
1069C2×C4×C61C2511yescharacteristic
1070#62934C6111yesmaximal, characteristic, direct product factor, Sylow
1071C22×C61—21no—
1072C22×C61—21no—
1073C22×C61—21no—
1074C22×C61—22no—
1075C22×C61—22no—
1076C22×C61—21no—
1077C22×C61—22no—
1078C22×C61—22no—
1079C22×C61—22no—
1080C22×C61—22no—
1081C22×C61—24no—
1082C22×C61—24no—
1083C22×C61—21no—
1084C22×C61—21no—
1085C22×C61—22no—
1086C22×C61—21no—
1087C22×C61—24no—
1088C22×C61—22no—
1089C22×C61—22no—
1090C22×C61—21no—
1091C22×C61—44no—
1092C22×C61—82no—
1093C22×C61—162no—
1094C22×C61#58512yes—
1095C22×C61C2611yescharacteristic
1096C4×C61—22no—
1097C4×C61—24no—
1098C4×C61—22no—
1099C4×C61—21no—
1100C4×C61—22no—
1101C4×C61—21no—
1102C4×C61—22no—
1103C4×C61—22no—
1104C4×C61—21no—
1105C4×C61—22no—
1106C4×C61—24no—
1107C4×C61—22no—
1108C4×C61—22no—
1109C4×C61—24no—
1110C4×C61—24no—
1111C4×C61—22no—
1112C4×C61—22no—
1113C4×C61—22no—
1114C4×C61—24no—
1115C4×C61—22no—
1116C4×C61—22no—
1117C4×C61#58512yes—
1118#3567C2×C6114yescomplemented
1119#3566C2×C6114yescomplemented
1120#3565C2×C6114yescomplemented
1121#3565C2×C6112yescomplemented
1122#3564C2×C6114yescomplemented
1123#3563C2×C6112yescomplemented
1124#3563C2×C6112yescomplemented
1125#3559C2×C6112yescomplemented
1126#3551C2×C6112yescomplemented
1127#3547C2×C6112yescomplemented
1128#3541C2×C6112yescomplemented
1129#3538C2×C6111yescharacteristic, complemented
1130#3536C2×C6111yescharacteristic, complemented
1131#3533C2×C6114yescomplemented
1132#3521C2×C6114yescomplemented
1133#3521C2×C6112yescomplemented
1134#3516C2×C6112yescomplemented
1135#3515C2×C6112yescomplemented
1136#3512C2×C6112yescomplemented
1137#3507C2×C6112yescomplemented
1138#3505C2×C6111yescharacteristic, complemented
1139#3495C2×C6111yescharacteristic, complemented
1140#3494C2×C6111yescharacteristic, complemented
1141#3493C2×C6112yescomplemented
1142#3492C2×C6112yescomplemented
1143#3482C2×C6112yescomplemented
1144C2×#552C2×C6111yescharacteristic, complemented
1145#3460C2×C6111yescharacteristic, complemented
1146#3455C2×C6112yescomplemented
1147C2×C61—22no—
1148C2×C61—42no—
1149C2×C61—42no—
1150C2×C61—42no—
1151C2×C61—41no—
1152C2×C61—41no—
1153C2×C61—44no—
1154C2×C61C2×#58511yescharacteristic
1155C2×C61C2×#58511yescharacteristic
1156C2×C612−1+611yescharacteristic
1157#564C22×C6114yescomplemented
1158#563C22×C6114yes—
1159#563C22×C6114yescomplemented
1160#563C22×C6114yescomplemented
1161#563C22×C6114yescomplemented
1162#563C22×C6114yescomplemented
1163#562C22×C6114yescomplemented
1164#562C22×C6114yescomplemented
1165#562C22×C6114yescomplemented
1166#562C22×C6114yescomplemented
1167#562C22×C6114yescomplemented
1168#560C22×C6114yes—
1169#559C22×C6114yes—
1170#557C22×C6112yescomplemented
1171#557C22×C6114yescomplemented
1172#557C22×C6112yescomplemented
1173#556C22×C6112yescomplemented
1174#556C22×C6114yescomplemented
1175#556C22×C6114yescomplemented
1176#556C22×C6114yescomplemented
1177#556C22×C6112yescomplemented
1178#556C22×C6114yescomplemented
1179#556C22×C6112yescomplemented
1180#556C22×C6114yescomplemented
1181#555C22×C6114yescomplemented
1182#555C22×C6114yescomplemented
1183#555C22×C6112yescomplemented
1184#554C22×C6112yescomplemented
1185#554C22×C6112yescomplemented
1186#554C22×C6114yescomplemented
1187#554C22×C6112yescomplemented
1188#554C22×C6112yescomplemented
1189#554C22×C6112yescomplemented
1190#554C22×C6114yescomplemented
1191#554C22×C6114yescomplemented
1192#553C22×C6112yes—
1193#553C22×C6112yes—
1194#553C22×C6114yes—
1195#553C22×C6112yescomplemented
1196#553C22×C6112yescomplemented
1197#553C22×C6114yescomplemented
1198#553C22×C6114yescomplemented
1199#553C22×C6114yescomplemented
1200#553C22×C6112yescomplemented
1201#553C22×C6112yescomplemented
1202#553C22×C6114yescomplemented
1203#553C22×C6114yescomplemented
1204#553C22×C6114yescomplemented
1205#553C22×C6114yescomplemented
1206#553C22×C6114yescomplemented
1207#553C22×C6114yescomplemented
1208#552C22×C6112yes—
1209#552C22×C6112yes—
1210#552C22×C6114yes—
1211#552C22×C6112yes—
1212#552C22×C6112yescomplemented
1213#552C22×C6112yescomplemented
1214#552C22×C6114yescomplemented
1215#552C22×C6112yescomplemented
1216#552C22×C6112yescomplemented
1217#552C22×C6114yescomplemented
1218#552C22×C6114yescomplemented
1219#552C22×C6112yescomplemented
1220#552C22×C6114yescomplemented
1221#552C22×C6114yescomplemented
1222#552C22×C6114yescomplemented
1223#552C22×C6112yescomplemented
1224#552C22×C6114yescomplemented
1225#552C22×C6112yescomplemented
1226#552C22×C6112yescomplemented
1227#552C22×C6112yescomplemented
1228#552C22×C6114yescomplemented
1229#552C22×C6114yescomplemented
1230#552C22×C6114yescomplemented
1231#552C22×C6114yescomplemented
1232#552C22×C6114yescomplemented
1233#552C22×C6114yescomplemented
1234#551C22×C6114yes—
1235#551C22×C6114yes—
1236#551C22×C6114yes—
1237#551C22×C6114yes—
1238#551C22×C6114yescomplemented
1239#551C22×C6114yescomplemented
1240#551C22×C6114yescomplemented
1241D4×Q8C22×C6112yescomplemented
1242D4×Q8C22×C6112yescomplemented
1243#548C22×C6112yes—
1244#548C22×C6112yes—
1245#548C22×C6112yescomplemented
1246#548C22×C6112yescomplemented
1247#547C22×C6112yes—
1248#547C22×C6112yes—
1249#547C22×C6114yescomplemented
1250#547C22×C6114yescomplemented
1251#547C22×C6114yescomplemented
1252#547C22×C6112yescomplemented
1253#546C22×C6114yes—
1254#546C22×C6112yes—
1255#546C22×C6114yes—
1256#546C22×C6112yescomplemented
1257#544C22×C6111yescharacteristic, complemented
1258#544C22×C6112yescomplemented
1259#544C22×C6112yescomplemented
1260#544C22×C6111yescharacteristic, complemented
1261#544C22×C6111yescharacteristic, complemented
1262#544C22×C6112yescomplemented
1263#544C22×C6114yescomplemented
1264#544C22×C6114yescomplemented
1265#543C22×C6112yescomplemented
1266#542C22×C6112yes—
1267#542C22×C6114yescomplemented
1268#542C22×C6114yescomplemented
1269#542C22×C6112yescomplemented
1270#542C22×C6112yescomplemented
1271#542C22×C6112yescomplemented
1272#542C22×C6114yescomplemented
1273#542C22×C6112yescomplemented
1274#542C22×C6112yescomplemented
1275#542C22×C6114yescomplemented
1276#542C22×C6114yescomplemented
1277#542C22×C6114yescomplemented
1278#541C22×C6114yescomplemented
1279#541C22×C6112yescomplemented
1280#541C22×C6114yescomplemented
1281#541C22×C6114yescomplemented
1282#541C22×C6112yescomplemented
1283#541C22×C6114yescomplemented
1284#541C22×C6112yescomplemented
1285#541C22×C6114yescomplemented
1286#541C22×C6114yescomplemented
1287#540C22×C6112yes—
1288#540C22×C6114yescomplemented
1289#540C22×C6112yescomplemented
1290#540C22×C6112yescomplemented
1291#540C22×C6114yescomplemented
1292#540C22×C6114yescomplemented
1293#540C22×C6114yescomplemented
1294#539C22×C6112yes—
1295#539C22×C6112yes—
1296#539C22×C6114yes—
1297#539C22×C6114yes—
1298#539C22×C6114yescomplemented
1299#539C22×C6112yescomplemented
1300#539C22×C6114yescomplemented
1301#539C22×C6114yescomplemented
1302#539C22×C6114yescomplemented
1303#539C22×C6114yescomplemented
1304#539C22×C6114yescomplemented
1305#539C22×C6114yescomplemented
1306#539C22×C6112yescomplemented
1307#539C22×C6114yescomplemented
1308#538C22×C6112yes—
1309#538C22×C6112yes—
1310#538C22×C6114yes—
1311#538C22×C6114yes—
1312#538C22×C6111yescharacteristic, complemented
1313#538C22×C6114yescomplemented
1314#538C22×C6111yescharacteristic, complemented
1315#538C22×C6114yescomplemented
1316#538C22×C6114yescomplemented
1317#538C22×C6112yescomplemented
1318#537C22×C6112yes—
1319#537C22×C6111yescharacteristic, complemented
1320#537C22×C6112yescomplemented
1321#537C22×C6112yescomplemented
1322#537C22×C6112yescomplemented
1323#536C22×C6111yescharacteristic, complemented
1324#536C22×C6112yescomplemented
1325#536C22×C6112yescomplemented
1326#535C22×C6112yes—
1327#535C22×C6111yescharacteristic, complemented
1328#534C22×C6112yes—
1329#533C22×C6112yescomplemented
1330#533C22×C6112yescomplemented
1331#533C22×C6114yescomplemented
1332#533C22×C6112yescomplemented
1333#532C22×C6112yes—
1334#532C22×C6112yes—
1335#532C22×C6112yescomplemented
1336#529C22×C6112yes—
1337#529C22×C6112yes—
1338#529C22×C6112yes—
1339#529C22×C6114yescomplemented
1340#529C22×C6114yescomplemented
1341#529C22×C6114yescomplemented
1342#529C22×C6114yescomplemented
1343#529C22×C6112yescomplemented
1344#529C22×C6114yescomplemented
1345#529C22×C6112yescomplemented
1346#529C22×C6114yescomplemented
1347#529C22×C6112yescomplemented
1348#529C22×C6114yescomplemented
1349#529C22×C6114yescomplemented
1350#529C22×C6112yescomplemented
1351#529C22×C6112yescomplemented
1352#529C22×C6114yescomplemented
1353C2×#126C22×C6112yes—
1354C2×#126C22×C6114yescomplemented
1355C2×#125C22×C6111yescharacteristic, complemented
1356C2×#125C22×C6112yescomplemented
1357C2×#125C22×C6112yescomplemented
1358#525C22×C6111yescharacteristic
1359#525C22×C6111yescharacteristic
1360#525C22×C6112yes—
1361#525C22×C6114yescomplemented
1362#525C22×C6112yescomplemented
1363#525C22×C6114yescomplemented
1364C2×#123C22×C6112yes—
1365C2×C22⋊Q8C22×C6111yescharacteristic
1366C2×C22⋊Q8C22×C6111yescharacteristic
1367C2×C22⋊Q8C22×C6111yescharacteristic, complemented
1368C2×#121C22×C6111yescharacteristic
1369#520C22×C6112yescomplemented
1370#520C22×C6112yescomplemented
1371#520C22×C6114yescomplemented
1372#520C22×C6111yescharacteristic, complemented
1373#520C22×C6111yescharacteristic, complemented
1374#519C22×C6111yescharacteristic, complemented
1375#518C22×C6112yes—
1376#518C22×C6111yescharacteristic, complemented
1377C4×#41C22×C6114yescomplemented
1378C4×#41C22×C6112yescomplemented
1379C4×#41C22×C6112yescomplemented
1380C2×C4×Q8C22×C6111yescharacteristic, complemented
1381C2×C4×Q8C22×C6112yescomplemented
1382C2×C4×D4C22×C6111yescharacteristic
1383C2×#117C22×C6111yescharacteristic
1384C2×#117C22×C6112yescomplemented
1385C22×C4⋊C4C22×C6111yescharacteristic, complemented
1386C61#6293411yescharacteristic, direct product factor, Sylow
1387C2×#41C23×C6114yes—
1388C2×#41C23×C6112yes—
1389C2×#41C23×C6112yes—
1390C2×#41C23×C6111yescharacteristic
1391C2×#41C23×C6111yescharacteristic
1392C2×#41C23×C6112yes—
1393C2×#41C23×C6112yes—
1394C2×#41C23×C6114yes—
1395C22×Q8C23×C6111yescharacteristic
1396C22×Q8C23×C6112yes—
1397C22×Q8C23×C6111yescharacteristic
1398C22×D4C23×C6111yescharacteristic
1399C22×D4C23×C6112yes—
1400C22×D4C23×C6111yescharacteristic
1401C23×C4C23×C6112yes—
1402C23×C4C23×C6111yescharacteristic
1403C23×C4C23×C6111yescharacteristic
1404C4⋊Q8C23×C6112yes—
1405C4⋊Q8C23×C6112yes—
1406C4⋊Q8C23×C6112yes—
1407C4⋊Q8C23×C6112yes—
1408C4⋊Q8C23×C6112yes—
1409C4⋊Q8C23×C6112yes—
1410C4⋊Q8C23×C6112yes—
1411C4⋊Q8C23×C6114yes—
1412C4⋊Q8C23×C6114yes—
1413C4⋊Q8C23×C6112yes—
1414C4⋊Q8C23×C6112yes—
1415C4⋊Q8C23×C6114yes—
1416C4⋊Q8C23×C6114yes—
1417C4⋊Q8C23×C6114yes—
1418C4⋊Q8C23×C6114yes—
1419C4⋊Q8C23×C6114yes—
1420#127C23×C6112yes—
1421#127C23×C6112yes—
1422#127C23×C6112yes—
1423#126C23×C6114yes—
1424#126C23×C6114yes—
1425#126C23×C6114yes—
1426#126C23×C6114yes—
1427#126C23×C6112yes—
1428#126C23×C6114yes—
1429#126C23×C6114yes—
1430#126C23×C6114yes—
1431#126C23×C6114yes—
1432#126C23×C6114yes—
1433#126C23×C6114yes—
1434#126C23×C6112yes—
1435#126C23×C6114yes—
1436#126C23×C6114yes—
1437#126C23×C6114yes—
1438#126C23×C6114yes—
1439#126C23×C6114yes—
1440#126C23×C6112yes—
1441#126C23×C6114yes—
1442#126C23×C6114yes—
1443#126C23×C6114yes—
1444#126C23×C6112yes—
1445#126C23×C6114yes—
1446#126C23×C6114yes—
1447#126C23×C6114yes—
1448#126C23×C6114yes—
1449#126C23×C6114yes—
1450#126C23×C6114yes—
1451#126C23×C6114yes—
1452#126C23×C6114yes—
1453#126C23×C6114yes—
1454#126C23×C6114yes—
1455#126C23×C6114yes—
1456#126C23×C6114yes—
1457#126C23×C6114yes—
1458#126C23×C6114yes—
1459#126C23×C6114yes—
1460#126C23×C6114yes—
1461#125C23×C6112yes—
1462#125C23×C6112yes—
1463#125C23×C6114yes—
1464#125C23×C6112yes—
1465#125C23×C6114yes—
1466#125C23×C6114yes—
1467#125C23×C6114yes—
1468#125C23×C6114yes—
1469#125C23×C6114yes—
1470#125C23×C6114yes—
1471#125C23×C6112yes—
1472#125C23×C6112yes—
1473#125C23×C6112yes—
1474#125C23×C6112yes—
1475#125C23×C6114yes—
1476#125C23×C6114yes—
1477#125C23×C6114yes—
1478#125C23×C6114yes—
1479#125C23×C6114yes—
1480#125C23×C6114yes—
1481#125C23×C6112yes—
1482#125C23×C6114yes—
1483#125C23×C6112yes—
1484#125C23×C6112yes—
1485#125C23×C6114yes—
1486#125C23×C6114yes—
1487#125C23×C6114yes—
1488#125C23×C6114yes—
1489#125C23×C6114yes—
1490#125C23×C6114yes—
1491#125C23×C6114yes—
1492#125C23×C6114yes—
1493#125C23×C6114yes—
1494#125C23×C6114yes—
1495#125C23×C6114yes—
1496#125C23×C6114yes—
1497#125C23×C6114yes—
1498#125C23×C6114yes—
1499#125C23×C6114yes—
1500#124C23×C6112yes—
1501#124C23×C6112yes—
1502#124C23×C6112yes—
1503#124C23×C6112yes—
1504#124C23×C6112yes—
1505#124C23×C6112yes—
1506#124C23×C6112yes—
1507#124C23×C6114yes—
1508#124C23×C6114yes—
1509#124C23×C6114yes—
1510#124C23×C6114yes—
1511#124C23×C6114yes—
1512#124C23×C6114yes—
1513#124C23×C6114yes—
1514#124C23×C6112yes—
1515#124C23×C6112yes—
1516#124C23×C6112yes—
1517#124C23×C6114yes—
1518#124C23×C6114yes—
1519#124C23×C6114yes—
1520#124C23×C6114yes—
1521#124C23×C6114yes—
1522#123C23×C6114yes—
1523#123C23×C6114yes—
1524#123C23×C6114yes—
1525#123C23×C6114yes—
1526#123C23×C6114yes—
1527#123C23×C6112yes—
1528#123C23×C6112yes—
1529#123C23×C6114yes—
1530#123C23×C6114yes—
1531#123C23×C6114yes—
1532#123C23×C6112yes—
1533#123C23×C6112yes—
1534#123C23×C6114yes—
1535#123C23×C6114yes—
1536#123C23×C6112yes—
1537#123C23×C6112yes—
1538#123C23×C6112yes—
1539#123C23×C6114yes—
1540#123C23×C6112yes—
1541#123C23×C6114yes—
1542#123C23×C6114yes—
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×C6114yes—
1558#123C23×C6114yes—
1559#123C23×C6114yes—
1560#123C23×C6114yes—
1561#123C23×C6114yes—
1562#123C23×C6114yes—
1563#123C23×C6114yes—
1564#123C23×C6114yes—
1565#123C23×C6114yes—
1566#123C23×C6114yes—
1567#123C23×C6114yes—
1568C22⋊Q8C23×C6112yes—
1569C22⋊Q8C23×C6112yes—
1570C22⋊Q8C23×C6112yes—
1571C22⋊Q8C23×C6112yes—
1572C22⋊Q8C23×C6112yes—
1573C22⋊Q8C23×C6112yes—
1574C22⋊Q8C23×C6112yes—
1575C22⋊Q8C23×C6112yes—
1576C22⋊Q8C23×C6112yes—
1577C22⋊Q8C23×C6112yes—
1578C22⋊Q8C23×C6114yes—
1579C22⋊Q8C23×C6111yescharacteristic
1580C22⋊Q8C23×C6111yescharacteristic
1581C22⋊Q8C23×C6112yes—
1582C22⋊Q8C23×C6111yescharacteristic
1583C22⋊Q8C23×C6111yescharacteristic
1584C22⋊Q8C23×C6112yes—
1585C22⋊Q8C23×C6114yes—
1586C22⋊Q8C23×C6114yes—
1587C22⋊Q8C23×C6114yes—
1588C22⋊Q8C23×C6114yes—
1589C22⋊Q8C23×C6112yes—
1590C22⋊Q8C23×C6112yes—
1591C22⋊Q8C23×C6114yes—
1592C22⋊Q8C23×C6112yes—
1593C22⋊Q8C23×C6112yes—
1594C22⋊Q8C23×C6112yes—
1595C22⋊Q8C23×C6114yes—
1596C22⋊Q8C23×C6114yes—
1597C22⋊Q8C23×C6112yes—
1598C22⋊Q8C23×C6114yes—
1599C22⋊Q8C23×C6114yes—
1600C22⋊Q8C23×C6114yes—
1601C22⋊Q8C23×C6114yes—
1602C22⋊Q8C23×C6114yes—
1603C22⋊Q8C23×C6112yes—
1604C22⋊Q8C23×C6112yes—
1605C22⋊Q8C23×C6114yes—
1606C22⋊Q8C23×C6114yes—
1607C22⋊Q8C23×C6114yes—
1608C22⋊Q8C23×C6114yes—
1609C22⋊Q8C23×C6114yes—
1610C22⋊Q8C23×C6114yes—
1611C22⋊Q8C23×C6114yes—
1612C22⋊Q8C23×C6114yes—
1613C22⋊Q8C23×C6114yes—
1614C22⋊Q8C23×C6114yes—
1615C22⋊Q8C23×C6114yes—
1616C22⋊Q8C23×C6114yes—
1617C22⋊Q8C23×C6114yes—
1618C22⋊Q8C23×C6114yes—
1619C22⋊Q8C23×C6114yes—
1620C22⋊Q8C23×C6114yes—
1621C22⋊Q8C23×C6114yes—
1622C22⋊Q8C23×C6114yes—
1623C22⋊Q8C23×C6114yes—
1624C22⋊Q8C23×C6114yes—
1625C22⋊Q8C23×C6114yes—
1626C22⋊Q8C23×C6114yes—
1627#121C23×C6112yes—
1628#121C23×C6112yes—
1629#121C23×C6112yes—
1630#121C23×C6112yes—
1631#121C23×C6111yescharacteristic
1632#121C23×C6111yescharacteristic
1633#121C23×C6112yes—
1634#121C23×C6111yescharacteristic
1635#121C23×C6111yescharacteristic
1636#121C23×C6114yes—
1637#121C23×C6112yes—
1638#121C23×C6114yes—
1639#121C23×C6114yes—
1640#121C23×C6112yes—
1641#121C23×C6114yes—
1642#121C23×C6112yes—
1643#121C23×C6112yes—
1644#121C23×C6112yes—
1645#121C23×C6112yes—
1646#121C23×C6112yes—
1647#121C23×C6112yes—
1648#121C23×C6114yes—
1649#121C23×C6112yes—
1650#121C23×C6114yes—
1651#121C23×C6114yes—
1652#121C23×C6114yes—
1653#121C23×C6114yes—
1654#121C23×C6114yes—
1655#121C23×C6114yes—
1656#121C23×C6112yes—
1657#121C23×C6112yes—
1658#121C23×C6114yes—
1659#121C23×C6112yes—
1660#121C23×C6112yes—
1661#121C23×C6112yes—
1662#121C23×C6112yes—
1663#121C23×C6114yes—
1664#121C23×C6114yes—
1665#121C23×C6114yes—
1666#121C23×C6114yes—
1667#121C23×C6114yes—
1668#121C23×C6114yes—
1669#121C23×C6114yes—
1670#121C23×C6114yes—
1671#121C23×C6114yes—
1672#121C23×C6114yes—
1673#121C23×C6114yes—
1674#120C23×C6114yes—
1675#120C23×C6112yes—
1676#120C23×C6112yes—
1677#120C23×C6112yes—
1678#120C23×C6112yes—
1679#120C23×C6114yes—
1680#120C23×C6114yes—
1681#120C23×C6114yes—
1682C4×Q8C23×C6112yes—
1683C4×Q8C23×C6112yes—
1684C4×Q8C23×C6112yes—
1685C4×Q8C23×C6112yes—
1686C4×Q8C23×C6114yes—
1687C4×Q8C23×C6114yes—
1688C4×Q8C23×C6112yes—
1689C4×Q8C23×C6114yes—
1690C4×Q8C23×C6112yes—
1691C4×Q8C23×C6112yes—
1692C4×Q8C23×C6114yes—
1693C4×Q8C23×C6112yes—
1694C4×Q8C23×C6114yes—
1695C4×Q8C23×C6112yes—
1696C4×Q8C23×C6112yes—
1697C4×Q8C23×C6112yes—
1698C4×Q8C23×C6112yes—
1699C4×Q8C23×C6112yes—
1700C4×Q8C23×C6112yes—
1701C4×Q8C23×C6114yes—
1702C4×Q8C23×C6114yes—
1703C4×Q8C23×C6114yes—
1704C4×Q8C23×C6114yes—
1705C4×Q8C23×C6114yes—
1706C4×Q8C23×C6114yes—
1707C4×D4C23×C6112yes—
1708C4×D4C23×C6112yes—
1709C4×D4C23×C6112yes—
1710C4×D4C23×C6112yes—
1711C4×D4C23×C6112yes—
1712C4×D4C23×C6114yes—
1713C4×D4C23×C6112yes—
1714C4×D4C23×C6112yes—
1715C4×D4C23×C6112yes—
1716C4×D4C23×C6112yes—
1717C4×D4C23×C6112yes—
1718C4×D4C23×C6114yes—
1719C4×D4C23×C6112yes—
1720C4×D4C23×C6114yes—
1721C4×D4C23×C6112yes—
1722C4×D4C23×C6114yes—
1723C4×D4C23×C6114yes—
1724C4×D4C23×C6114yes—
1725C4×D4C23×C6114yes—
1726C4×D4C23×C6114yes—
1727C4×D4C23×C6114yes—
1728C4×D4C23×C6114yes—
1729C4×D4C23×C6112yes—
1730C4×D4C23×C6112yes—
1731C4×D4C23×C6112yes—
1732C4×D4C23×C6114yes—
1733C4×D4C23×C6114yes—
1734C4×D4C23×C6114yes—
1735C4×D4C23×C6114yes—
1736C4×D4C23×C6114yes—
1737C4×D4C23×C6112yes—
1738C4×D4C23×C6114yes—
1739C4×D4C23×C6114yes—
1740C4×D4C23×C6114yes—
1741C4×D4C23×C6114yes—
1742C4×D4C23×C6114yes—
1743C4×D4C23×C6114yes—
1744C4×D4C23×C6112yes—
1745C4×D4C23×C6112yes—
1746C4×D4C23×C6112yes—
1747C4×D4C23×C6112yes—
1748C4×D4C23×C6114yes—
1749C4×D4C23×C6112yes—
1750C4×D4C23×C6114yes—
1751C4×D4C23×C6114yes—
1752C4×D4C23×C6112yes—
1753C4×D4C23×C6114yes—
1754C4×D4C23×C6114yes—
1755C4×D4C23×C6114yes—
1756C4×D4C23×C6114yes—
1757C4×D4C23×C6114yes—
1758C4×D4C23×C6114yes—
1759C4×D4C23×C6114yes—
1760#117C23×C6111yescharacteristic
1761#117C23×C6111yescharacteristic
1762#117C23×C6111yescharacteristic
1763#117C23×C6111yescharacteristic
1764#117C23×C6112yes—
1765#117C23×C6112yes—
1766#117C23×C6114yes—
1767#117C23×C6114yes—
1768#117C23×C6114yes—
1769#117C23×C6114yes—
1770#117C23×C6112yes—
1771#117C23×C6114yes—
1772#117C23×C6114yes—
1773#117C23×C6114yes—
1774#117C23×C6112yes—
1775#117C23×C6112yes—
1776#117C23×C6114yes—
1777#117C23×C6112yes—
1778#117C23×C6114yes—
1779#117C23×C6111yescharacteristic
1780#117C23×C6111yescharacteristic
1781#117C23×C6114yes—
1782#117C23×C6112yes—
1783#117C23×C6112yes—
1784#117C23×C6114yes—
1785#117C23×C6114yes—
1786#117C23×C6114yes—
1787#117C23×C6114yes—
1788#117C23×C6112yes—
1789#117C23×C6112yes—
1790#117C23×C6114yes—
1791#117C23×C6114yes—
1792#117C23×C6114yes—
1793#117C23×C6114yes—
1794#117C23×C6114yes—
1795#117C23×C6114yes—
1796#117C23×C6114yes—
1797#117C23×C6114yes—
1798C2×C4⋊C4C23×C6111yescharacteristic
1799C2×C4⋊C4C23×C6112yes—
1800C2×C4⋊C4C23×C6111yescharacteristic
1801C2×C4⋊C4C23×C6112yes—
1802C2×C4⋊C4C23×C6112yes—
1803C2×C4⋊C4C23×C6114yes—
1804C2×C4⋊C4C23×C6111yescharacteristic
1805C2×C4⋊C4C23×C6112yes—
1806C2×C4⋊C4C23×C6112yes—
1807C2×C4⋊C4C23×C6111yescharacteristic
1808C2×C4⋊C4C23×C6112yes—
1809C2×C4⋊C4C23×C6112yes—
1810C2×C4⋊C4C23×C6114yes—
1811C2×C4⋊C4C23×C6111yescharacteristic
1812C2×C4⋊C4C23×C6111yescharacteristic
1813C2×C4⋊C4C23×C6112yes—
1814C2×C4⋊C4C23×C6112yes—
1815C2×C4⋊C4C23×C6114yes—
1816C2×C4⋊C4C23×C6114yes—
1817C2×C4⋊C4C23×C6114yes—
1818C2×C4⋊C4C23×C6112yes—
1819C2×C4⋊C4C23×C6112yes—
1820C2×C4⋊C4C23×C6112yes—
1821C2×C4⋊C4C23×C6114yes—
1822C2×C4⋊C4C23×C6114yes—
1823C2×C22⋊C4C23×C6112yes—
1824C2×C22⋊C4C23×C6111yescharacteristic
1825C2×C22⋊C4C23×C6112yes—
1826C2×C22⋊C4C23×C6111yescharacteristic
1827C2×C22⋊C4C23×C6112yes—
1828C2×C22⋊C4C23×C6114yes—
1829C2×C22⋊C4C23×C6114yes—
1830C2×C22⋊C4C23×C6112yes—
1831C2×C22⋊C4C23×C6112yes—
1832C2×C22⋊C4C23×C6114yes—
1833C2×C42C23×C6112yes—
1834C2×C42C23×C6112yes—
1835C2×C42C23×C6111yescharacteristic
1836C2×C42C23×C6114yes—
1837C2×C42C23×C6112yes—
1838C2×C42C23×C6112yes—
1839C2×C42C23×C6114yes—
1840C24C24×C6111yescharacteristic
1841C24C24×C6111yescharacteristic
1842C24C24×C6112yes—
1843#41—42no—
1844#41—42no—
1845#41—44no—
1846#41—48no—
1847#41—48no—
1848#41—44no—
1849#41—44no—
1850#41—44no—
1851C2×Q8—42no—
1852C2×Q8—42no—
1853C2×Q8—44no—
1854C2×Q8C24×C6112yes—
1855C2×Q8C24×C6112yes—
1856C2×Q8C24×C6114yes—
1857C2×Q8C24×C6112yes—
1858C2×Q8C24×C6114yes—
1859C2×Q8C24×C6112yes—
1860C2×Q8C24×C6112yes—
1861C2×Q8C24×C6112yes—
1862C2×Q8C24×C6114yes—
1863C2×Q8C24×C6111yescharacteristic
1864C2×Q8C24×C6114yes—
1865C2×Q8C24×C6111yescharacteristic
1866C2×D4—42no—
1867C2×D4—42no—
1868C2×D4—44no—
1869C2×D4C24×C6112yes—
1870C2×D4C24×C6112yes—
1871C2×D4C24×C6114yes—
1872C2×D4C24×C6112yes—
1873C2×D4C24×C6112yes—
1874C2×D4C24×C6114yes—
1875C2×D4C24×C6112yes—
1876C2×D4C24×C6112yes—
1877C2×D4C24×C6114yes—
1878C2×D4C24×C6112yes—
1879C2×D4C24×C6112yes—
1880C2×D4C24×C6114yes—
1881C2×D4C24×C6112yes—
1882C2×D4C24×C6114yes—
1883C2×D4C24×C6114yes—
1884C2×D4C24×C6114yes—
1885C2×D4C24×C6112yes—
1886C2×D4C24×C6112yes—
1887C2×D4C24×C6112yes—
1888C2×D4C24×C6112yes—
1889C2×D4C24×C6111yescharacteristic
1890C2×D4C24×C6114yes—
1891C2×D4C24×C6112yes—
1892C2×D4C24×C6112yes—
1893C2×D4C24×C6112yes—
1894C2×D4C24×C6111yescharacteristic
1895C22×C4—42no—
1896C22×C4—42no—
1897C22×C4—44no—
1898C22×C4C24×C6112yes—
1899C22×C4C24×C6111yescharacteristic
1900C22×C4C24×C6111yescharacteristic
1901C22×C4C24×C6112yes—
1902C22×C4C24×C6112yes—
1903C22×C4C24×C6112yes—
1904C22×C4C24×C6112yes—
1905C22×C4C24×C6111yescharacteristic
1906C22×C4C24×C6111yescharacteristic
1907C22×C4C24×C6111yescharacteristic
1908C22×C4C24×C6112yes—
1909C22×C4C24×C6111yescharacteristic
1910C22×C4C24×C6112yes—
1911C22×C4C24×C6112yes—
1912C22×C4C24×C6114yes—
1913C22×C4C24×C6114yes—
1914C22×C4C24×C6114yes—
1915C22×C4C24×C6112yes—
1916C22×C4C24×C6114yes—
1917C22×C4C24×C6112yes—
1918C22×C4C24×C6112yes—
1919C22×C4C24×C6114yes—
1920C22×C4C24×C6111yescharacteristic
1921C22×C4C24×C6111yescharacteristic
1922C22×C4C24×C6114yes—
1923C22×C4C24×C6112yes—
1924C22×C4C24×C6114yes—
1925C22×C4C24×C6114yes—
1926C22×C4C24×C6112yes—
1927C22×C4C24×C6112yes—
1928C22×C4C24×C6114yes—
1929C22×C4C24×C6114yes—
1930C22×C4C24×C6114yes—
1931C22×C4C24×C6114yes—
1932C22×C4C24×C6111yescharacteristic
1933C22×C4C24×C6112yes—
1934C4⋊C4C24×C6111yescharacteristic
1935C4⋊C4C24×C6112yes—
1936C4⋊C4C24×C6114yes—
1937C4⋊C4C24×C6111yescharacteristic
1938C4⋊C4C24×C6111yescharacteristic
1939C4⋊C4C24×C6112yes—
1940C4⋊C4C24×C6112yes—
1941C4⋊C4C24×C6114yes—
1942C4⋊C4C24×C6112yes—
1943C4⋊C4C24×C6112yes—
1944C4⋊C4C24×C6114yes—
1945C4⋊C4C24×C6114yes—
1946C4⋊C4C24×C6114yes—
1947C4⋊C4C24×C6114yes—
1948C4⋊C4C24×C6112yes—
1949C4⋊C4C24×C6112yes—
1950C4⋊C4C24×C6114yes—
1951C4⋊C4C24×C6112yes—
1952C4⋊C4C24×C6114yes—
1953C4⋊C4C24×C6114yes—
1954C4⋊C4C24×C6111yescharacteristic
1955C4⋊C4C24×C6114yes—
1956C4⋊C4C24×C6114yes—
1957C4⋊C4C24×C6114yes—
1958C4⋊C4C24×C6112yes—
1959C4⋊C4C24×C6114yes—
1960C4⋊C4C24×C6114yes—
1961C4⋊C4C24×C6114yes—
1962C4⋊C4C24×C6114yes—
1963C4⋊C4C24×C6114yes—
1964C4⋊C4C24×C6114yes—
1965C4⋊C4C24×C6114yes—
1966C4⋊C4C24×C6114yes—
1967C4⋊C4C24×C6114yes—
1968C4⋊C4C24×C6114yes—
1969C4⋊C4C24×C6112yes—
1970C4⋊C4C24×C6112yes—
1971C4⋊C4C24×C6112yes—
1972C4⋊C4C24×C6114yes—
1973C4⋊C4C24×C6114yes—
1974C4⋊C4C24×C6114yes—
1975C4⋊C4C24×C6114yes—
1976C4⋊C4C24×C6114yes—
1977C4⋊C4C24×C6112yes—
1978C4⋊C4C24×C6114yes—
1979C4⋊C4C24×C6114yes—
1980C4⋊C4C24×C6114yes—
1981C4⋊C4C24×C6112yes—
1982C4⋊C4C24×C6114yes—
1983C4⋊C4C24×C6112yes—
1984C4⋊C4C24×C6114yes—
1985C4⋊C4C24×C6112yes—
1986C4⋊C4C24×C6114yes—
1987C4⋊C4C24×C6114yes—
1988C4⋊C4C24×C6111yescharacteristic
1989C4⋊C4C24×C6111yescharacteristic
1990C4⋊C4C24×C6114yes—
1991C4⋊C4C24×C6112yes—
1992C4⋊C4C24×C6112yes—
1993C4⋊C4C24×C6114yes—
1994C4⋊C4C24×C6114yes—
1995C4⋊C4C24×C6114yes—
1996C4⋊C4C24×C6112yes—
1997C4⋊C4C24×C6112yes—
1998C4⋊C4C24×C6114yes—
1999C4⋊C4C24×C6114yes—
2000C4⋊C4C24×C6111yescharacteristic
2001C4⋊C4C24×C6114yes—
2002C4⋊C4C24×C6111yescharacteristic
2003C4⋊C4C24×C6114yes—
2004C4⋊C4C24×C6112yes—
2005C4⋊C4C24×C6112yes—
2006C22⋊C4C24×C6112yes—
2007C22⋊C4C24×C6112yes—
2008C22⋊C4C24×C6112yes—
2009C22⋊C4C24×C6114yes—
2010C22⋊C4C24×C6112yes—
2011C22⋊C4C24×C6114yes—
2012C22⋊C4C24×C6112yes—
2013C22⋊C4C24×C6112yes—
2014C22⋊C4C24×C6112yes—
2015C22⋊C4C24×C6114yes—
2016C22⋊C4C24×C6114yes—
2017C22⋊C4C24×C6114yes—
2018C22⋊C4C24×C6112yes—
2019C22⋊C4C24×C6114yes—
2020C22⋊C4C24×C6112yes—
2021C22⋊C4C24×C6114yes—
2022C22⋊C4C24×C6114yes—
2023C22⋊C4C24×C6114yes—
2024C22⋊C4C24×C6114yes—
2025C22⋊C4C24×C6114yes—
2026C22⋊C4C24×C6114yes—
2027C22⋊C4C24×C6112yes—
2028C22⋊C4C24×C6114yes—
2029C22⋊C4C24×C6114yes—
2030C22⋊C4C24×C6112yes—
2031C22⋊C4C24×C6112yes—
2032C22⋊C4C24×C6112yes—
2033C22⋊C4C24×C6112yes—
2034C22⋊C4C24×C6112yes—
2035C22⋊C4C24×C6114yes—
2036C22⋊C4C24×C6114yes—
2037C22⋊C4C24×C6112yes—
2038C22⋊C4C24×C6112yes—
2039C22⋊C4C24×C6114yes—
2040C22⋊C4C24×C6114yes—
2041C22⋊C4C24×C6112yes—
2042C22⋊C4C24×C6114yes—
2043C22⋊C4C24×C6114yes—
2044C22⋊C4C24×C6114yes—
2045C22⋊C4C24×C6114yes—
2046C22⋊C4C24×C6114yes—
2047C22⋊C4C24×C6112yes—
2048C22⋊C4C24×C6114yes—
2049C22⋊C4C24×C6112yes—
2050C22⋊C4C24×C6114yes—
2051C22⋊C4C24×C6112yes—
2052C22⋊C4C24×C6112yes—
2053C22⋊C4C24×C6114yes—
2054C22⋊C4C24×C6114yes—
2055C22⋊C4C24×C6114yes—
2056C22⋊C4C24×C6114yes—
2057C22⋊C4C24×C6112yes—
2058C22⋊C4C24×C6112yes—
2059C22⋊C4C24×C6114yes—
2060C22⋊C4C24×C6112yes—
2061C22⋊C4C24×C6112yes—
2062C42C24×C6114yes—
2063C42C24×C6112yes—
2064C42C24×C6112yes—
2065C42C24×C6112yes—
2066C42C24×C6112yes—
2067C42C24×C6112yes—
2068C42C24×C6112yes—
2069C42C24×C6112yes—
2070C42C24×C6114yes—
2071C42C24×C6112yes—
2072C42C24×C6114yes—
2073C42C24×C6114yes—
2074C42C24×C6114yes—
2075C42C24×C6112yes—
2076C42C24×C6112yes—
2077C42C24×C6112yes—
2078C42C24×C6114yes—
2079C42C24×C6112yes—
2080C42C24×C6114yes—
2081C42C24×C6114yes—
2082C42C24×C6114yes—
2083C42C24×C6114yes—
2084C42C24×C6114yes—
2085C42C24×C6114yes—
2086C23—22no—
2087C23—22no—
2088C23—41no—
2089C23—41no—
2090C23—41no—
2091C23—41no—
2092C23—42no—
2093C23—42no—
2094C23—42no—
2095C23C25×C6111yescharacteristic
2096C23C25×C6111yescharacteristic
2097C23C25×C6112yes—
2098C23C25×C6114yes—
2099C23C25×C6112yes—
2100C23C25×C6112yes—
2101C23C25×C6111yescharacteristic
2102Q8—24no—
2103Q8—24no—
2104Q8—42no—
2105Q8—42no—
2106Q8—44no—
2107Q8—44no—
2108Q8—42no—
2109Q8—44no—
2110Q8—41no—
2111Q8—42no—
2112Q8—41no—
2113Q8—44no—
2114D4—28no—
2115D4—24no—
2116D4—24no—
2117D4—24no—
2118D4—42no—
2119D4—42no—
2120D4—42no—
2121D4—44no—
2122D4—42no—
2123D4—42no—
2124D4—44no—
2125D4—44no—
2126D4—42no—
2127D4—42no—
2128D4—42no—
2129D4—44no—
2130D4—41no—
2131D4—42no—
2132D4—42no—
2133D4—42no—
2134D4—44no—
2135D4—41no—
2136D4—42no—
2137D4—42no—
2138D4—44no—
2139D4—44no—
2140C2×C4—24no—
2141C2×C4—24no—
2142C2×C4—22no—
2143C2×C4—22no—
2144C2×C4—22no—
2145C2×C4—22no—
2146C2×C4—24no—
2147C2×C4—24no—
2148C2×C4—24no—
2149C2×C4—44no—
2150C2×C4—41no—
2151C2×C4—42no—
2152C2×C4—44no—
2153C2×C4—41no—
2154C2×C4—41no—
2155C2×C4—41no—
2156C2×C4—41no—
2157C2×C4—42no—
2158C2×C4—44no—
2159C2×C4—42no—
2160C2×C4—44no—
2161C2×C4—42no—
2162C2×C4—44no—
2163C2×C4—42no—
2164C2×C4—42no—
2165C2×C4—42no—
2166C2×C4—42no—
2167C2×C4—44no—
2168C2×C4—44no—
2169C2×C4—44no—
2170C2×C4—44no—
2171C2×C4—44no—
2172C2×C4—44no—
2173C2×C4—42no—
2174C2×C4—42no—
2175C2×C4—44no—
2176C2×C4C25×C6112yes—
2177C2×C4C25×C6112yes—
2178C2×C4C25×C6112yes—
2179C2×C4C25×C6112yes—
2180C2×C4C25×C6112yes—
2181C2×C4C25×C6114yes—
2182C2×C4C25×C6111yescharacteristic
2183C2×C4C25×C6112yes—
2184C2×C4C25×C6112yes—
2185C2×C4C25×C6114yes—
2186C2×C4C25×C6114yes—
2187C2×C4C25×C6112yes—
2188C2×C4C25×C6112yes—
2189C2×C4C25×C6112yes—
2190C2×C4C25×C6112yes—
2191C2×C4C25×C6114yes—
2192C2×C4C25×C6112yes—
2193C2×C4C25×C6111yescharacteristic
2194C2×C4C25×C6111yescharacteristic
2195C2×C4C25×C6112yes—
2196C2×C4C25×C6114yes—
2197C2×C4C25×C6111yescharacteristic
2198C22—21no—
2199C22—21no—
2200C22—21no—
2201C22—22no—
2202C22—22no—
2203C22—21no—
2204C22—22no—
2205C22—22no—
2206C22—22no—
2207C22—22no—
2208C22—24no—
2209C22—24no—
2210C22—21no—
2211C22—21no—
2212C22—22no—
2213C22—21no—
2214C22—24no—
2215C22—22no—
2216C22—22no—
2217C22—21no—
2218C22—44no—
2219C22—82no—
2220C22—162no—
2221C22C61×#58512yes—
2222C22C26×C6111yescharacteristic
2223C4—22no—
2224C4—24no—
2225C4—22no—
2226C4—21no—
2227C4—22no—
2228C4—21no—
2229C4—22no—
2230C4—22no—
2231C4—21no—
2232C4—22no—
2233C4—24no—
2234C4—22no—
2235C4—22no—
2236C4—24no—
2237C4—24no—
2238C4—22no—
2239C4—22no—
2240C4—22no—
2241C4—24no—
2242C4—22no—
2243C4—22no—
2244C4C61×#58512yes—
2245C2—22no—
2246C2—42no—
2247C2—41no—
2248C2—41no—
2249C2—44no—
2250C2—42no—
2251C2—42no—
2252C2C2×C61×#58511yescharacteristic
2253C2C2×C61×#58511yescharacteristic
2254C2C61×2−1+611yescharacteristic
subgroupG/H
center, socleC22×C61C26
commutator, Frattini, cosocleC22C26×C61
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C61 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C61×#3567C2semidirect
2. C61×#3566C2semidirect
3. C61×#3565C2semidirect
4. C61×#3565C2semidirect
5. C61×#3564C2semidirect
6. C61×#3563C2semidirect
7. C61×#3563C2semidirect
8. C61×#3559C2semidirect
9. C61×#3551C2semidirect
10. C61×#3547C2semidirect
11. C61×#3541C2semidirect
12. C61×#3538C2semidirect
13. C61×#3536C2semidirect
14. C61×#3533C2semidirect
15. C61×#3521C2semidirect
16. C61×#3521C2semidirect
17. C61×#3516C2semidirect
18. C61×#3515C2semidirect
19. C61×#3512C2semidirect
20. C61×#3507C2semidirect
21. C61×#3505C2semidirect
22. C61×#3495C2semidirect
23. C61×#3494C2semidirect
24. C61×#3493C2semidirect
25. C61×#3492C2semidirect
26. C61×#3482C2semidirect
27. C2×C61×#552C2semidirect
28. C61×#3460C2semidirect
29. C61×#3455C2semidirect
30. C61×#564C22semidirect
32. C61×#563C22semidirect
33. C61×#563C22semidirect
34. C61×#563C22semidirect
35. C61×#563C22semidirect
36. C61×#562C22semidirect
37. C61×#562C22semidirect
38. C61×#562C22semidirect
39. C61×#562C22semidirect
40. C61×#562C22semidirect
43. C61×#557C22semidirect
44. C61×#557C22semidirect
45. C61×#557C22semidirect
46. C61×#556C22semidirect
47. C61×#556C22semidirect
48. C61×#556C22semidirect
49. C61×#556C22semidirect
50. C61×#556C22semidirect
51. C61×#556C22semidirect
52. C61×#556C22semidirect
53. C61×#556C22semidirect
54. C61×#555C22semidirect
55. C61×#555C22semidirect
56. C61×#555C22semidirect
57. C61×#554C22semidirect
58. C61×#554C22semidirect
59. C61×#554C22semidirect
60. C61×#554C22semidirect
61. C61×#554C22semidirect
62. C61×#554C22semidirect
63. C61×#554C22semidirect
64. C61×#554C22semidirect
68. C61×#553C22semidirect
69. C61×#553C22semidirect
70. C61×#553C22semidirect
71. C61×#553C22semidirect
72. C61×#553C22semidirect
73. C61×#553C22semidirect
74. C61×#553C22semidirect
75. C61×#553C22semidirect
76. C61×#553C22semidirect
77. C61×#553C22semidirect
78. C61×#553C22semidirect
79. C61×#553C22semidirect
80. C61×#553C22semidirect
85. C61×#552C22semidirect
86. C61×#552C22semidirect
87. C61×#552C22semidirect
88. C61×#552C22semidirect
89. C61×#552C22semidirect
90. C61×#552C22semidirect
91. C61×#552C22semidirect
92. C61×#552C22semidirect
93. C61×#552C22semidirect
94. C61×#552C22semidirect
95. C61×#552C22semidirect
96. C61×#552C22semidirect
97. C61×#552C22semidirect
98. C61×#552C22semidirect
99. C61×#552C22semidirect
100. C61×#552C22semidirect
101. C61×#552C22semidirect
102. C61×#552C22semidirect
103. C61×#552C22semidirect
104. C61×#552C22semidirect
105. C61×#552C22semidirect
106. C61×#552C22semidirect
111. C61×#551C22semidirect
112. C61×#551C22semidirect
113. C61×#551C22semidirect
114. D4×Q8×C61C22semidirect
115. D4×Q8×C61C22semidirect
118. C61×#548C22semidirect
119. C61×#548C22semidirect
122. C61×#547C22semidirect
123. C61×#547C22semidirect
124. C61×#547C22semidirect
125. C61×#547C22semidirect
129. C61×#546C22semidirect
130. C61×#544C22semidirect
131. C61×#544C22semidirect
132. C61×#544C22semidirect
133. C61×#544C22semidirect
134. C61×#544C22semidirect
135. C61×#544C22semidirect
136. C61×#544C22semidirect
137. C61×#544C22semidirect
138. 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×#541C22semidirect
152. C61×#541C22semidirect
153. C61×#541C22semidirect
154. C61×#541C22semidirect
155. C61×#541C22semidirect
156. C61×#541C22semidirect
157. C61×#541C22semidirect
158. C61×#541C22semidirect
159. C61×#541C22semidirect
161. C61×#540C22semidirect
162. C61×#540C22semidirect
163. C61×#540C22semidirect
164. C61×#540C22semidirect
165. C61×#540C22semidirect
166. C61×#540C22semidirect
171. C61×#539C22semidirect
172. C61×#539C22semidirect
173. C61×#539C22semidirect
174. C61×#539C22semidirect
175. C61×#539C22semidirect
176. C61×#539C22semidirect
177. C61×#539C22semidirect
178. C61×#539C22semidirect
179. C61×#539C22semidirect
180. C61×#539C22semidirect
185. C61×#538C22semidirect
186. C61×#538C22semidirect
187. C61×#538C22semidirect
188. C61×#538C22semidirect
189. C61×#538C22semidirect
190. C61×#538C22semidirect
192. C61×#537C22semidirect
193. C61×#537C22semidirect
194. C61×#537C22semidirect
195. C61×#537C22semidirect
196. C61×#536C22semidirect
197. C61×#536C22semidirect
198. C61×#536C22semidirect
200. C61×#535C22semidirect
202. C61×#533C22semidirect
203. C61×#533C22semidirect
204. C61×#533C22semidirect
205. C61×#533C22semidirect
208. C61×#532C22semidirect
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
227. C2×#126×C61C22semidirect
228. C2×#125×C61C22semidirect
229. C2×#125×C61C22semidirect
230. C2×#125×C61C22semidirect
234. C61×#525C22semidirect
235. C61×#525C22semidirect
236. C61×#525C22semidirect
240. C2×C22⋊Q8×C61C22semidirect
242. C61×#520C22semidirect
243. C61×#520C22semidirect
244. C61×#520C22semidirect
245. C61×#520C22semidirect
246. C61×#520C22semidirect
247. C61×#519C22semidirect
249. C61×#518C22semidirect
250. C4×#41×C61C22semidirect
251. C4×#41×C61C22semidirect
252. C4×#41×C61C22semidirect
253. C2×C4×Q8×C61C22semidirect
254. C2×C4×Q8×C61C22semidirect
257. C2×#117×C61C22semidirect
258. C22×C4⋊C4×C61C22semidirect
1070. #62934C61direct (N × H)
1118. #3567C2×C61semidirect
1119. #3566C2×C61semidirect
1120. #3565C2×C61semidirect
1121. #3565C2×C61semidirect
1122. #3564C2×C61semidirect
1123. #3563C2×C61semidirect
1124. #3563C2×C61semidirect
1125. #3559C2×C61semidirect
1126. #3551C2×C61semidirect
1127. #3547C2×C61semidirect
1128. #3541C2×C61semidirect
1129. #3538C2×C61semidirect
1130. #3536C2×C61semidirect
1131. #3533C2×C61semidirect
1132. #3521C2×C61semidirect
1133. #3521C2×C61semidirect
1134. #3516C2×C61semidirect
1135. #3515C2×C61semidirect
1136. #3512C2×C61semidirect
1137. #3507C2×C61semidirect
1138. #3505C2×C61semidirect
1139. #3495C2×C61semidirect
1140. #3494C2×C61semidirect
1141. #3493C2×C61semidirect
1142. #3492C2×C61semidirect
1143. #3482C2×C61semidirect
1144. C2×#552C2×C61semidirect
1145. #3460C2×C61semidirect
1146. #3455C2×C61semidirect
1157. #564C22×C61semidirect
1159. #563C22×C61semidirect
1160. #563C22×C61semidirect
1161. #563C22×C61semidirect
1162. #563C22×C61semidirect
1163. #562C22×C61semidirect
1164. #562C22×C61semidirect
1165. #562C22×C61semidirect
1166. #562C22×C61semidirect
1167. #562C22×C61semidirect
1170. #557C22×C61semidirect
1171. #557C22×C61semidirect
1172. #557C22×C61semidirect
1173. #556C22×C61semidirect
1174. #556C22×C61semidirect
1175. #556C22×C61semidirect
1176. #556C22×C61semidirect
1177. #556C22×C61semidirect
1178. #556C22×C61semidirect
1179. #556C22×C61semidirect
1180. #556C22×C61semidirect
1181. #555C22×C61semidirect
1182. #555C22×C61semidirect
1183. #555C22×C61semidirect
1184. #554C22×C61semidirect
1185. #554C22×C61semidirect
1186. #554C22×C61semidirect
1187. #554C22×C61semidirect
1188. #554C22×C61semidirect
1189. #554C22×C61semidirect
1190. #554C22×C61semidirect
1191. #554C22×C61semidirect
1195. #553C22×C61semidirect
1196. #553C22×C61semidirect
1197. #553C22×C61semidirect
1198. #553C22×C61semidirect
1199. #553C22×C61semidirect
1200. #553C22×C61semidirect
1201. #553C22×C61semidirect
1202. #553C22×C61semidirect
1203. #553C22×C61semidirect
1204. #553C22×C61semidirect
1205. #553C22×C61semidirect
1206. #553C22×C61semidirect
1207. #553C22×C61semidirect
1212. #552C22×C61semidirect
1213. #552C22×C61semidirect
1214. #552C22×C61semidirect
1215. #552C22×C61semidirect
1216. #552C22×C61semidirect
1217. #552C22×C61semidirect
1218. #552C22×C61semidirect
1219. #552C22×C61semidirect
1220. #552C22×C61semidirect
1221. #552C22×C61semidirect
1222. #552C22×C61semidirect
1223. #552C22×C61semidirect
1224. #552C22×C61semidirect
1225. #552C22×C61semidirect
1226. #552C22×C61semidirect
1227. #552C22×C61semidirect
1228. #552C22×C61semidirect
1229. #552C22×C61semidirect
1230. #552C22×C61semidirect
1231. #552C22×C61semidirect
1232. #552C22×C61semidirect
1233. #552C22×C61semidirect
1238. #551C22×C61semidirect
1239. #551C22×C61semidirect
1240. #551C22×C61semidirect
1241. D4×Q8C22×C61semidirect
1242. D4×Q8C22×C61semidirect
1245. #548C22×C61semidirect
1246. #548C22×C61semidirect
1249. #547C22×C61semidirect
1250. #547C22×C61semidirect
1251. #547C22×C61semidirect
1252. #547C22×C61semidirect
1256. #546C22×C61semidirect
1257. #544C22×C61semidirect
1258. #544C22×C61semidirect
1259. #544C22×C61semidirect
1260. #544C22×C61semidirect
1261. #544C22×C61semidirect
1262. #544C22×C61semidirect
1263. #544C22×C61semidirect
1264. #544C22×C61semidirect
1265. #543C22×C61semidirect
1267. #542C22×C61semidirect
1268. #542C22×C61semidirect
1269. #542C22×C61semidirect
1270. #542C22×C61semidirect
1271. #542C22×C61semidirect
1272. #542C22×C61semidirect
1273. #542C22×C61semidirect
1274. #542C22×C61semidirect
1275. #542C22×C61semidirect
1276. #542C22×C61semidirect
1277. #542C22×C61semidirect
1278. #541C22×C61semidirect
1279. #541C22×C61semidirect
1280. #541C22×C61semidirect
1281. #541C22×C61semidirect
1282. #541C22×C61semidirect
1283. #541C22×C61semidirect
1284. #541C22×C61semidirect
1285. #541C22×C61semidirect
1286. #541C22×C61semidirect
1288. #540C22×C61semidirect
1289. #540C22×C61semidirect
1290. #540C22×C61semidirect
1291. #540C22×C61semidirect
1292. #540C22×C61semidirect
1293. #540C22×C61semidirect
1298. #539C22×C61semidirect
1299. #539C22×C61semidirect
1300. #539C22×C61semidirect
1301. #539C22×C61semidirect
1302. #539C22×C61semidirect
1303. #539C22×C61semidirect
1304. #539C22×C61semidirect
1305. #539C22×C61semidirect
1306. #539C22×C61semidirect
1307. #539C22×C61semidirect
1312. #538C22×C61semidirect
1313. #538C22×C61semidirect
1314. #538C22×C61semidirect
1315. #538C22×C61semidirect
1316. #538C22×C61semidirect
1317. #538C22×C61semidirect
1319. #537C22×C61semidirect
1320. #537C22×C61semidirect
1321. #537C22×C61semidirect
1322. #537C22×C61semidirect
1323. #536C22×C61semidirect
1324. #536C22×C61semidirect
1325. #536C22×C61semidirect
1327. #535C22×C61semidirect
1329. #533C22×C61semidirect
1330. #533C22×C61semidirect
1331. #533C22×C61semidirect
1332. #533C22×C61semidirect
1335. #532C22×C61semidirect
1339. #529C22×C61semidirect
1340. #529C22×C61semidirect
1341. #529C22×C61semidirect
1342. #529C22×C61semidirect
1343. #529C22×C61semidirect
1344. #529C22×C61semidirect
1345. #529C22×C61semidirect
1346. #529C22×C61semidirect
1347. #529C22×C61semidirect
1348. #529C22×C61semidirect
1349. #529C22×C61semidirect
1350. #529C22×C61semidirect
1351. #529C22×C61semidirect
1352. #529C22×C61semidirect
1354. C2×#126C22×C61semidirect
1355. C2×#125C22×C61semidirect
1356. C2×#125C22×C61semidirect
1357. C2×#125C22×C61semidirect
1361. #525C22×C61semidirect
1362. #525C22×C61semidirect
1363. #525C22×C61semidirect
1367. C2×C22⋊Q8C22×C61semidirect
1369. #520C22×C61semidirect
1370. #520C22×C61semidirect
1371. #520C22×C61semidirect
1372. #520C22×C61semidirect
1373. #520C22×C61semidirect
1374. #519C22×C61semidirect
1376. #518C22×C61semidirect
1377. C4×#41C22×C61semidirect
1378. C4×#41C22×C61semidirect
1379. C4×#41C22×C61semidirect
1380. C2×C4×Q8C22×C61semidirect
1381. C2×C4×Q8C22×C61semidirect
1384. C2×#117C22×C61semidirect
1385. C22×C4⋊C4C22×C61semidirect
1386. C61#62934direct (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×#35652
C61×#35642
C61×#35632
C61×#35592
C61×#35512
C61×#35472
C61×#35412
C61×#35382
C61×#35362
C61×#35332
C61×#35212
C61×#35162
C61×#35152
C61×#35122
C61×#35072
C61×#35052
C61×#34952
C61×#34942
C61×#34932
C61×#34922
C61×#34822
C2×C61×#5522
C61×#34602
C61×#34552
#6293461