Finite Group Databasebeta

← C61×#62935 #29566368

Subgroups — C61×#62935 #29566368

Order 15616.

6682 conjugacy classes of subgroups.

The subgroup lattice has 2316 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3566C214yesmaximal, complemented
2C61×#3566C214yesmaximal, complemented
3C61×#3565C212yesmaximal, complemented
4C61×#3564C212yesmaximal, complemented
5C61×#3560C212yesmaximal, complemented
6C61×#3559C212yesmaximal, complemented
7C61×#3551C212yesmaximal, complemented
8C61×#3546C212yesmaximal, complemented
9C61×#3542C212yesmaximal, complemented
10C61×#3542C214yesmaximal, complemented
11C61×#3539C214yesmaximal, complemented
12C61×#3537C211yesmaximal, characteristic, complemented
13C61×#3536C211yesmaximal, characteristic, complemented
14C61×#3533C214yesmaximal, complemented
15C61×#3524C212yesmaximal, complemented
16C61×#3515C212yesmaximal, complemented
17C61×#3513C214yesmaximal, complemented
18C61×#3513C212yesmaximal, complemented
19C61×#3512C212yesmaximal, complemented
20C61×#3506C212yesmaximal, complemented
21C61×#3506C212yesmaximal, complemented
22C61×#3505C211yesmaximal, characteristic, complemented
23C61×#3495C211yesmaximal, characteristic, complemented
24C61×#3494C211yesmaximal, characteristic, complemented
25C61×#3492C212yesmaximal, complemented
26C61×#3481C212yesmaximal, complemented
27C2×C61×#553C211yesmaximal, characteristic, complemented
28C61×#3460C211yesmaximal, characteristic, complemented
29C61×#3459C212yesmaximal, complemented
30C61×#563C2214yescomplemented
31C61×#563C2214yescomplemented
32C61×#563C2214yescomplemented
33C61×#562C2214yescomplemented
34C61×#562C2214yescomplemented
35C61×#562C2214yescomplemented
36C61×#562C2214yescomplemented
37C61×#560C2214yescomplemented
38C61×#560C2214yescomplemented
39C61×#560C2214yescomplemented
40C61×#560C2214yescomplemented
41C61×#560C2214yescomplemented
42C61×#559C2214yescomplemented
43C61×#559C2214yescomplemented
44C61×#559C2212yescomplemented
45C61×#559C2214yescomplemented
46C61×#557C2212yescomplemented
47C61×#556C2212yescomplemented
48C61×#556C2214yescomplemented
49C61×#556C2214yescomplemented
50C61×#555C2214yescomplemented
51C61×#555C2212yescomplemented
52C61×#555C2214yescomplemented
53C61×#555C2212yescomplemented
54C61×#554C2212yescomplemented
55C61×#554C2212yescomplemented
56C61×#554C2214yescomplemented
57C61×#554C2212yescomplemented
58C61×#554C2212yescomplemented
59C61×#553C2212yes—
60C61×#553C2212yescomplemented
61C61×#553C2212yescomplemented
62C61×#553C2212yescomplemented
63C61×#553C2212yescomplemented
64C61×#553C2212yescomplemented
65C61×#553C2212yescomplemented
66C61×#553C2214yescomplemented
67C61×#553C2214yescomplemented
68C61×#553C2212yescomplemented
69C61×#553C2214yescomplemented
70C61×#553C2214yescomplemented
71C61×#553C2214yescomplemented
72C61×#553C2214yescomplemented
73C61×#553C2214yescomplemented
74C61×#553C2214yescomplemented
75C61×#553C2212yescomplemented
76C61×#553C2212yescomplemented
77C61×#553C2212yescomplemented
78C61×#553C2212yescomplemented
79C61×#553C2214yescomplemented
80C61×#553C2214yescomplemented
81C61×#553C2214yescomplemented
82C61×#552C2212yescomplemented
83C61×#552C2212yescomplemented
84C61×#552C2214yescomplemented
85C61×#552C2214yescomplemented
86C61×#552C2214yescomplemented
87C61×#552C2212yescomplemented
88C61×#552C2214yescomplemented
89C61×#552C2214yescomplemented
90C61×#552C2214yescomplemented
91C61×#552C2214yescomplemented
92C61×#552C2212yescomplemented
93C61×#552C2212yescomplemented
94C61×#552C2212yescomplemented
95C61×#551C2214yescomplemented
96C61×#551C2214yescomplemented
97C61×#551C2214yescomplemented
98C61×#551C2214yescomplemented
99C61×#551C2214yescomplemented
100C61×#551C2214yescomplemented
101C61×#551C2214yescomplemented
102C61×#551C2214yescomplemented
103C61×#551C2214yescomplemented
104C61×#550C2214yescomplemented
105C61×#550C2212yescomplemented
106C61×#550C2214yescomplemented
107C61×#548C2212yescomplemented
108C61×#548C2212yescomplemented
109C61×#547C2212yescomplemented
110C61×#547C2214yescomplemented
111C61×#547C2212yescomplemented
112C61×#547C2214yescomplemented
113C61×#547C2214yescomplemented
114C61×#547C2212yescomplemented
115C61×#547C2214yescomplemented
116C61×#547C2212yescomplemented
117C61×#546C2212yescomplemented
118C61×#546C2212yescomplemented
119C61×#546C2214yescomplemented
120C61×#546C2212yescomplemented
121C61×#546C2214yescomplemented
122C61×#546C2214yescomplemented
123C61×#546C2212yescomplemented
124C61×#546C2214yescomplemented
125C61×#546C2214yescomplemented
126C61×#546C2214yescomplemented
127D42×C61C2212yes—
128D42×C61C2214yes—
129D42×C61C2212yescomplemented
130C61×#544C2211yescharacteristic, complemented
131C61×#544C2212yescomplemented
132C61×#544C2211yescharacteristic, complemented
133C61×#544C2211yescharacteristic, complemented
134C61×#543C2212yescomplemented
135C61×#542C2214yescomplemented
136C61×#542C2214yescomplemented
137C61×#542C2214yescomplemented
138C61×#542C2214yescomplemented
139C61×#542C2212yescomplemented
140C61×#542C2212yescomplemented
141C61×#542C2212yescomplemented
142C61×#542C2212yescomplemented
143C61×#542C2212yescomplemented
144C61×#542C2212yescomplemented
145C61×#541C2214yescomplemented
146C61×#541C2214yescomplemented
147C61×#541C2212yescomplemented
148C61×#541C2214yescomplemented
149C61×#540C2214yescomplemented
150C61×#540C2214yescomplemented
151C61×#540C2212yescomplemented
152C61×#540C2212yescomplemented
153C61×#540C2214yescomplemented
154C61×#540C2212yescomplemented
155C61×#540C2212yescomplemented
156C61×#540C2212yescomplemented
157C61×#540C2214yescomplemented
158C61×#540C2214yescomplemented
159C61×#539C2214yescomplemented
160C61×#539C2214yescomplemented
161C61×#539C2214yescomplemented
162C61×#539C2212yescomplemented
163C61×#539C2214yescomplemented
164C61×#539C2214yescomplemented
165C61×#539C2212yescomplemented
166C61×#539C2214yescomplemented
167C61×#539C2214yescomplemented
168C61×#539C2214yescomplemented
169C61×#539C2214yescomplemented
170C61×#538C2212yes—
171C61×#538C2214yescomplemented
172C61×#538C2214yescomplemented
173C61×#538C2214yescomplemented
174C61×#538C2214yescomplemented
175C61×#538C2214yescomplemented
176C61×#538C2212yescomplemented
177C61×#538C2212yescomplemented
178C61×#538C2214yescomplemented
179C61×#538C2214yescomplemented
180C61×#538C2214yescomplemented
181C61×#538C2211yescharacteristic, complemented
182C61×#538C2212yescomplemented
183C61×#538C2211yescharacteristic, complemented
184C61×#538C2212yescomplemented
185C61×#537C2212yescomplemented
186C61×#537C2212yescomplemented
187C61×#537C2212yescomplemented
188C61×#537C2214yescomplemented
189C61×#537C2211yescharacteristic, complemented
190C61×#537C2212yescomplemented
191C61×#536C2211yescharacteristic, complemented
192C61×#535C2211yescharacteristic, complemented
193C61×#535C2212yescomplemented
194C61×#535C2214yescomplemented
195C61×#535C2212yescomplemented
196C61×#535C2212yescomplemented
197C61×#535C2214yescomplemented
198C61×#534C2212yes—
199C61×#534C2214yescomplemented
200C61×#534C2212yescomplemented
201C61×#534C2212yescomplemented
202C61×#533C2212yescomplemented
203C61×#533C2212yescomplemented
204C61×#532C2212yescomplemented
205C61×#532C2212yescomplemented
206C61×#532C2212yescomplemented
207C61×#532C2212yescomplemented
208C61×#529C2212yescomplemented
209C61×#529C2212yescomplemented
210C61×#529C2212yescomplemented
211C61×#529C2212yescomplemented
212C61×#529C2212yescomplemented
213C61×#529C2212yescomplemented
214C61×#529C2212yescomplemented
215C61×#529C2214yescomplemented
216C61×#529C2214yescomplemented
217C61×#529C2214yescomplemented
218C61×#529C2214yescomplemented
219C61×#529C2214yescomplemented
220C61×#529C2212yescomplemented
221C2×#126×C61C2212yescomplemented
222C2×#125×C61C2212yescomplemented
223C2×#125×C61C2211yescharacteristic, complemented
224C61×#525C2211yescharacteristic
225C61×#525C2214yescomplemented
226C61×#525C2214yescomplemented
227C61×#525C2214yescomplemented
228C61×#525C2212yescomplemented
229C61×#525C2211yescharacteristic, complemented
230C61×#525C2214yescomplemented
231C61×#525C2214yescomplemented
232C61×#525C2212yescomplemented
233C61×#525C2214yescomplemented
234C61×#525C2214yescomplemented
235C2×#123×C61C2212yescomplemented
236C2×#123×C61C2214yescomplemented
237C2×C22⋊Q8×C61C2211yescharacteristic, complemented
238C2×#121×C61C2211yescharacteristic
239C2×#121×C61C2211yescharacteristic
240C2×#121×C61C2212yescomplemented
241C2×#121×C61C2211yescharacteristic, complemented
242C61×#520C2212yescomplemented
243C61×#520C2212yescomplemented
244C61×#520C2211yescharacteristic, complemented
245C61×#520C2211yescharacteristic, complemented
246C61×#520C2214yescomplemented
247C61×#519C2211yescharacteristic, complemented
248C61×#518C2211yescharacteristic, complemented
249C61×#518C2212yescomplemented
250C4×#41×C61C2212yescomplemented
251C4×#41×C61C2212yescomplemented
252C2×C4×D4×C61C2212yescomplemented
253C2×C4×D4×C61C2214yescomplemented
254C2×C4×D4×C61C2211yescharacteristic, complemented
255C2×C4×D4×C61C2211yescharacteristic, complemented
256C2×C4×D4×C61C2212yescomplemented
257C2×#117×C61C2211yescharacteristic, complemented
258C22×C4⋊C4×C61C2211yescharacteristic, complemented
259C2×#41×C61C2311yescharacteristic
260C2×#41×C61C2311yescharacteristic
261C2×#41×C61C2312yes—
262C2×#41×C61C2314yes—
263C2×#41×C61C2312yes—
264C2×#41×C61C2312yes—
265C2×#41×C61C2312yes—
266C2×#41×C61C2314yes—
267C2×#41×C61C2314yes—
268C2×#41×C61C2314yes—
269C2×#41×C61C2314yes—
270C22×Q8×C61C2311yescharacteristic
271C22×D4×C61C2314yes—
272C22×D4×C61C2311yescharacteristic
273C22×D4×C61C2312yes—
274C22×D4×C61C2312yes—
275C22×D4×C61C2312yes—
276C22×D4×C61C2311yescharacteristic
277C22×D4×C61C2311yescharacteristic
278C22×D4×C61C2314yes—
279C22×D4×C61C2312yes—
280C23×C4×C61C2311yescharacteristic
281C23×C4×C61C2311yescharacteristic
282C23×C4×C61C2312yes—
283C23×C4×C61C2312yes—
284C23×C4×C61C2314yes—
285C4⋊Q8×C61C2312yes—
286C4⋊Q8×C61C2312yes—
287C4⋊Q8×C61C2312yes—
288C4⋊Q8×C61C2312yes—
289C4⋊Q8×C61C2312yes—
290C4⋊Q8×C61C2312yes—
291C4⋊Q8×C61C2312yes—
292C4⋊Q8×C61C2312yes—
293C4⋊Q8×C61C2314yes—
294C4⋊Q8×C61C2314yes—
295#127×C61C2312yes—
296#127×C61C2312yes—
297#127×C61C2312yes—
298#127×C61C2312yes—
299#127×C61C2314yes—
300#127×C61C2314yes—
301#127×C61C2314yes—
302#126×C61C2314yes—
303#126×C61C2314yes—
304#126×C61C2312yes—
305#126×C61C2312yes—
306#126×C61C2314yes—
307#126×C61C2314yes—
308#126×C61C2314yes—
309#126×C61C2314yes—
310#126×C61C2314yes—
311#126×C61C2314yes—
312#126×C61C2314yes—
313#126×C61C2314yes—
314#126×C61C2314yes—
315#126×C61C2314yes—
316#126×C61C2314yes—
317#126×C61C2314yes—
318#126×C61C2314yes—
319#126×C61C2314yes—
320#126×C61C2314yes—
321#126×C61C2314yes—
322#126×C61C2312yes—
323#126×C61C2314yes—
324#126×C61C2312yes—
325#126×C61C2314yes—
326#126×C61C2314yes—
327#126×C61C2314yes—
328#126×C61C2314yes—
329#126×C61C2314yes—
330#126×C61C2314yes—
331#126×C61C2314yes—
332#125×C61C2314yes—
333#125×C61C2312yes—
334#125×C61C2312yes—
335#125×C61C2312yes—
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×C61C2312yes—
352#125×C61C2312yes—
353#125×C61C2312yes—
354#125×C61C2312yes—
355#125×C61C2312yes—
356#124×C61C2314yes—
357#124×C61C2312yes—
358#124×C61C2312yes—
359#124×C61C2312yes—
360#124×C61C2314yes—
361#124×C61C2312yes—
362#124×C61C2314yes—
363#124×C61C2312yes—
364#124×C61C2312yes—
365#124×C61C2314yes—
366#124×C61C2314yes—
367#124×C61C2314yes—
368#124×C61C2314yes—
369#124×C61C2312yes—
370#124×C61C2312yes—
371#124×C61C2314yes—
372#124×C61C2314yes—
373#124×C61C2314yes—
374#124×C61C2314yes—
375#124×C61C2314yes—
376#124×C61C2314yes—
377#124×C61C2312yes—
378#124×C61C2312yes—
379#123×C61C2314yes—
380#123×C61C2314yes—
381#123×C61C2314yes—
382#123×C61C2314yes—
383#123×C61C2314yes—
384#123×C61C2314yes—
385#123×C61C2314yes—
386#123×C61C2314yes—
387#123×C61C2314yes—
388#123×C61C2314yes—
389#123×C61C2314yes—
390#123×C61C2312yes—
391#123×C61C2314yes—
392#123×C61C2314yes—
393#123×C61C2314yes—
394#123×C61C2312yes—
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×C61C2314yes—
404#123×C61C2312yes—
405#123×C61C2314yes—
406#123×C61C2312yes—
407#123×C61C2312yes—
408#123×C61C2314yes—
409#123×C61C2314yes—
410#123×C61C2312yes—
411#123×C61C2314yes—
412#123×C61C2314yes—
413#123×C61C2314yes—
414#123×C61C2314yes—
415#123×C61C2314yes—
416#123×C61C2314yes—
417#123×C61C2314yes—
418#123×C61C2314yes—
419#123×C61C2314yes—
420#123×C61C2314yes—
421#123×C61C2314yes—
422#123×C61C2314yes—
423#123×C61C2314yes—
424#123×C61C2314yes—
425#123×C61C2312yes—
426#123×C61C2312yes—
427#123×C61C2314yes—
428#123×C61C2314yes—
429#123×C61C2314yes—
430#123×C61C2314yes—
431C22⋊Q8×C61C2311yescharacteristic
432C22⋊Q8×C61C2312yes—
433C22⋊Q8×C61C2314yes—
434C22⋊Q8×C61C2314yes—
435C22⋊Q8×C61C2314yes—
436C22⋊Q8×C61C2312yes—
437C22⋊Q8×C61C2312yes—
438C22⋊Q8×C61C2312yes—
439C22⋊Q8×C61C2314yes—
440C22⋊Q8×C61C2314yes—
441C22⋊Q8×C61C2314yes—
442C22⋊Q8×C61C2314yes—
443C22⋊Q8×C61C2312yes—
444C22⋊Q8×C61C2314yes—
445C22⋊Q8×C61C2314yes—
446C22⋊Q8×C61C2314yes—
447C22⋊Q8×C61C2314yes—
448C22⋊Q8×C61C2314yes—
449C22⋊Q8×C61C2312yes—
450C22⋊Q8×C61C2312yes—
451C22⋊Q8×C61C2312yes—
452C22⋊Q8×C61C2311yescharacteristic
453C22⋊Q8×C61C2314yes—
454C22⋊Q8×C61C2314yes—
455C22⋊Q8×C61C2314yes—
456C22⋊Q8×C61C2311yescharacteristic
457C22⋊Q8×C61C2314yes—
458C22⋊Q8×C61C2312yes—
459C22⋊Q8×C61C2311yescharacteristic
460C22⋊Q8×C61C2314yes—
461C22⋊Q8×C61C2314yes—
462C22⋊Q8×C61C2314yes—
463C22⋊Q8×C61C2314yes—
464C22⋊Q8×C61C2314yes—
465C22⋊Q8×C61C2314yes—
466C22⋊Q8×C61C2314yes—
467C22⋊Q8×C61C2314yes—
468C22⋊Q8×C61C2314yes—
469C22⋊Q8×C61C2312yes—
470C22⋊Q8×C61C2314yes—
471C22⋊Q8×C61C2314yes—
472C22⋊Q8×C61C2312yes—
473C22⋊Q8×C61C2312yes—
474#121×C61C2311yescharacteristic
475#121×C61C2312yes—
476#121×C61C2312yes—
477#121×C61C2312yes—
478#121×C61C2312yes—
479#121×C61C2312yes—
480#121×C61C2312yes—
481#121×C61C2314yes—
482#121×C61C2312yes—
483#121×C61C2312yes—
484#121×C61C2312yes—
485#121×C61C2312yes—
486#121×C61C2312yes—
487#121×C61C2314yes—
488#121×C61C2311yescharacteristic
489#121×C61C2314yes—
490#121×C61C2311yescharacteristic
491#121×C61C2314yes—
492#121×C61C2314yes—
493#121×C61C2314yes—
494#121×C61C2314yes—
495#121×C61C2312yes—
496#121×C61C2314yes—
497#121×C61C2314yes—
498#121×C61C2314yes—
499#121×C61C2312yes—
500#121×C61C2312yes—
501#121×C61C2314yes—
502#121×C61C2314yes—
503#121×C61C2314yes—
504#121×C61C2314yes—
505#121×C61C2312yes—
506#121×C61C2312yes—
507#121×C61C2314yes—
508#121×C61C2314yes—
509#121×C61C2314yes—
510#121×C61C2312yes—
511#121×C61C2312yes—
512#121×C61C2312yes—
513#121×C61C2312yes—
514#121×C61C2312yes—
515#121×C61C2314yes—
516#121×C61C2314yes—
517#121×C61C2311yescharacteristic
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×C61C2312yes—
528#121×C61C2314yes—
529#121×C61C2314yes—
530#121×C61C2312yes—
531#121×C61C2314yes—
532#121×C61C2314yes—
533#121×C61C2314yes—
534#121×C61C2314yes—
535#121×C61C2314yes—
536#121×C61C2314yes—
537#121×C61C2314yes—
538#121×C61C2314yes—
539#121×C61C2314yes—
540#121×C61C2314yes—
541#121×C61C2314yes—
542#121×C61C2312yes—
543#121×C61C2312yes—
544#121×C61C2312yes—
545#120×C61C2314yes—
546#120×C61C2314yes—
547#120×C61C2312yes—
548#120×C61C2314yes—
549#120×C61C2314yes—
550#120×C61C2314yes—
551#120×C61C2314yes—
552#120×C61C2314yes—
553#120×C61C2312yes—
554#120×C61C2314yes—
555#120×C61C2314yes—
556#120×C61C2312yes—
557#120×C61C2314yes—
558#120×C61C2312yes—
559#120×C61C2314yes—
560#120×C61C2314yes—
561#120×C61C2314yes—
562#120×C61C2314yes—
563C4×Q8×C61C2314yes—
564C4×Q8×C61C2314yes—
565C4×Q8×C61C2314yes—
566C4×Q8×C61C2312yes—
567C4×Q8×C61C2312yes—
568C4×Q8×C61C2312yes—
569C4×Q8×C61C2312yes—
570C4×Q8×C61C2312yes—
571C4×Q8×C61C2314yes—
572C4×Q8×C61C2312yes—
573C4×Q8×C61C2312yes—
574C4×Q8×C61C2314yes—
575C4×Q8×C61C2312yes—
576C4×Q8×C61C2312yes—
577C4×Q8×C61C2312yes—
578C4×D4×C61C2312yes—
579C4×D4×C61C2314yes—
580C4×D4×C61C2314yes—
581C4×D4×C61C2312yes—
582C4×D4×C61C2312yes—
583C4×D4×C61C2312yes—
584C4×D4×C61C2312yes—
585C4×D4×C61C2312yes—
586C4×D4×C61C2312yes—
587C4×D4×C61C2312yes—
588C4×D4×C61C2312yes—
589C4×D4×C61C2312yes—
590C4×D4×C61C2312yes—
591C4×D4×C61C2314yes—
592C4×D4×C61C2312yes—
593C4×D4×C61C2312yes—
594C4×D4×C61C2312yes—
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×C61C2314yes—
608C4×D4×C61C2314yes—
609C4×D4×C61C2314yes—
610C4×D4×C61C2312yes—
611C4×D4×C61C2312yes—
612C4×D4×C61C2314yes—
613C4×D4×C61C2314yes—
614C4×D4×C61C2314yes—
615C4×D4×C61C2314yes—
616C4×D4×C61C2314yes—
617C4×D4×C61C2314yes—
618C4×D4×C61C2314yes—
619C4×D4×C61C2312yes—
620C4×D4×C61C2312yes—
621C4×D4×C61C2314yes—
622C4×D4×C61C2312yes—
623C4×D4×C61C2312yes—
624C4×D4×C61C2312yes—
625C4×D4×C61C2312yes—
626C4×D4×C61C2314yes—
627C4×D4×C61C2314yes—
628C4×D4×C61C2312yes—
629C4×D4×C61C2312yes—
630C4×D4×C61C2314yes—
631C4×D4×C61C2314yes—
632C4×D4×C61C2312yes—
633C4×D4×C61C2314yes—
634C4×D4×C61C2314yes—
635C4×D4×C61C2314yes—
636C4×D4×C61C2314yes—
637C4×D4×C61C2314yes—
638C4×D4×C61C2312yes—
639C4×D4×C61C2314yes—
640C4×D4×C61C2314yes—
641#117×C61C2314yes—
642#117×C61C2312yes—
643#117×C61C2312yes—
644#117×C61C2314yes—
645#117×C61C2312yes—
646#117×C61C2311yescharacteristic
647#117×C61C2311yescharacteristic
648#117×C61C2311yescharacteristic
649#117×C61C2314yes—
650#117×C61C2314yes—
651#117×C61C2312yes—
652#117×C61C2312yes—
653#117×C61C2312yes—
654#117×C61C2312yes—
655#117×C61C2314yes—
656#117×C61C2314yes—
657#117×C61C2314yes—
658#117×C61C2312yes—
659#117×C61C2314yes—
660#117×C61C2311yescharacteristic
661#117×C61C2314yes—
662#117×C61C2314yes—
663#117×C61C2312yes—
664#117×C61C2314yes—
665#117×C61C2314yes—
666#117×C61C2314yes—
667#117×C61C2314yes—
668#117×C61C2311yescharacteristic
669#117×C61C2314yes—
670#117×C61C2312yes—
671#117×C61C2311yescharacteristic
672C2×C4⋊C4×C61C2311yescharacteristic
673C2×C4⋊C4×C61C2314yes—
674C2×C4⋊C4×C61C2312yes—
675C2×C4⋊C4×C61C2312yes—
676C2×C4⋊C4×C61C2312yes—
677C2×C4⋊C4×C61C2312yes—
678C2×C4⋊C4×C61C2314yes—
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×C61C2312yes—
688C2×C4⋊C4×C61C2312yes—
689C2×C4⋊C4×C61C2312yes—
690C2×C4⋊C4×C61C2311yescharacteristic
691C2×C4⋊C4×C61C2311yescharacteristic
692C2×C4⋊C4×C61C2312yes—
693C2×C22⋊C4×C61C2312yes—
694C2×C22⋊C4×C61C2312yes—
695C2×C22⋊C4×C61C2314yes—
696C2×C22⋊C4×C61C2312yes—
697C2×C22⋊C4×C61C2311yescharacteristic
698C2×C22⋊C4×C61C2314yes—
699C2×C22⋊C4×C61C2314yes—
700C2×C22⋊C4×C61C2314yes—
701C2×C22⋊C4×C61C2311yescharacteristic
702C2×C22⋊C4×C61C2314yes—
703C2×C22⋊C4×C61C2314yes—
704C2×C22⋊C4×C61C2312yes—
705C2×C22⋊C4×C61C2312yes—
706C2×C22⋊C4×C61C2312yes—
707C2×C42×C61C2312yes—
708C2×C42×C61C2312yes—
709C2×C42×C61C2312yes—
710C2×C42×C61C2311yescharacteristic
711C2×C42×C61C2314yes—
712C24×C61C2411yescharacteristic
713C24×C61C2412yes—
714C24×C61C2411yescharacteristic
715C24×C61C2412yes—
716C24×C61C2414yes—
717#41×C61—42no—
718#41×C61—42no—
719#41×C61—44no—
720#41×C61—48no—
721#41×C61—44no—
722#41×C61—44no—
723#41×C61—44no—
724#41×C61—84no—
725#41×C61—84no—
726#41×C61—84no—
727#41×C61—84no—
728C2×Q8×C61—42no—
729C2×Q8×C61C2412yes—
730C2×Q8×C61C2412yes—
731C2×Q8×C61C2412yes—
732C2×Q8×C61C2412yes—
733C2×Q8×C61C2411yescharacteristic
734C2×Q8×C61C2414yes—
735C2×Q8×C61C2411yescharacteristic
736C2×Q8×C61C2414yes—
737C2×Q8×C61C2414yes—
738C2×D4×C61—42no—
739C2×D4×C61—42no—
740C2×D4×C61—44no—
741C2×D4×C61—44no—
742C2×D4×C61—42no—
743C2×D4×C61—48no—
744C2×D4×C61—44no—
745C2×D4×C61—82no—
746C2×D4×C61—84no—
747C2×D4×C61C2412yes—
748C2×D4×C61C2414yes—
749C2×D4×C61C2412yes—
750C2×D4×C61C2412yes—
751C2×D4×C61C2412yes—
752C2×D4×C61C2411yescharacteristic
753C2×D4×C61C2412yes—
754C2×D4×C61C2412yes—
755C2×D4×C61C2414yes—
756C2×D4×C61C2412yes—
757C2×D4×C61C2412yes—
758C2×D4×C61C2412yes—
759C2×D4×C61C2414yes—
760C2×D4×C61C2412yes—
761C2×D4×C61C2414yes—
762C2×D4×C61C2412yes—
763C2×D4×C61C2414yes—
764C2×D4×C61C2412yes—
765C2×D4×C61C2414yes—
766C2×D4×C61C2414yes—
767C2×D4×C61C2414yes—
768C2×D4×C61C2414yes—
769C2×D4×C61C2414yes—
770C2×D4×C61C2412yes—
771C2×D4×C61C2412yes—
772C2×D4×C61C2411yescharacteristic
773C2×D4×C61C2412yes—
774C2×D4×C61C2414yes—
775C2×D4×C61C2414yes—
776C2×D4×C61C2414yes—
777C2×D4×C61C2414yes—
778C2×D4×C61C2414yes—
779C2×D4×C61C2412yes—
780C2×D4×C61C2414yes—
781C2×D4×C61C2414yes—
782C2×D4×C61C2412yes—
783C2×D4×C61C2412yes—
784C22×C4×C61—42no—
785C22×C4×C61—42no—
786C22×C4×C61—82no—
787C22×C4×C61—84no—
788C22×C4×C61—82no—
789C22×C4×C61C2412yes—
790C22×C4×C61C2411yescharacteristic
791C22×C4×C61C2411yescharacteristic
792C22×C4×C61C2412yes—
793C22×C4×C61C2412yes—
794C22×C4×C61C2412yes—
795C22×C4×C61C2411yescharacteristic
796C22×C4×C61C2411yescharacteristic
797C22×C4×C61C2411yescharacteristic
798C22×C4×C61C2411yescharacteristic
799C22×C4×C61C2412yes—
800C22×C4×C61C2412yes—
801C22×C4×C61C2414yes—
802C22×C4×C61C2412yes—
803C22×C4×C61C2412yes—
804C22×C4×C61C2414yes—
805C22×C4×C61C2414yes—
806C22×C4×C61C2412yes—
807C22×C4×C61C2411yescharacteristic
808C22×C4×C61C2414yes—
809C22×C4×C61C2414yes—
810C22×C4×C61C2411yescharacteristic
811C22×C4×C61C2412yes—
812C22×C4×C61C2412yes—
813C22×C4×C61C2412yes—
814C22×C4×C61C2412yes—
815C22×C4×C61C2414yes—
816C22×C4×C61C2414yes—
817C22×C4×C61C2414yes—
818C22×C4×C61C2414yes—
819C22×C4×C61C2414yes—
820C22×C4×C61C2414yes—
821C22×C4×C61C2414yes—
822C22×C4×C61C2411yescharacteristic
823C22×C4×C61C2414yes—
824C22×C4×C61C2414yes—
825C22×C4×C61C2414yes—
826C22×C4×C61C2412yes—
827C4⋊C4×C61C2411yescharacteristic
828C4⋊C4×C61C2412yes—
829C4⋊C4×C61C2414yes—
830C4⋊C4×C61C2411yescharacteristic
831C4⋊C4×C61C2411yescharacteristic
832C4⋊C4×C61C2412yes—
833C4⋊C4×C61C2412yes—
834C4⋊C4×C61C2414yes—
835C4⋊C4×C61C2412yes—
836C4⋊C4×C61C2414yes—
837C4⋊C4×C61C2412yes—
838C4⋊C4×C61C2412yes—
839C4⋊C4×C61C2414yes—
840C4⋊C4×C61C2412yes—
841C4⋊C4×C61C2414yes—
842C4⋊C4×C61C2412yes—
843C4⋊C4×C61C2414yes—
844C4⋊C4×C61C2411yescharacteristic
845C4⋊C4×C61C2414yes—
846C4⋊C4×C61C2412yes—
847C4⋊C4×C61C2414yes—
848C4⋊C4×C61C2414yes—
849C4⋊C4×C61C2414yes—
850C4⋊C4×C61C2414yes—
851C4⋊C4×C61C2414yes—
852C4⋊C4×C61C2414yes—
853C4⋊C4×C61C2414yes—
854C4⋊C4×C61C2414yes—
855C4⋊C4×C61C2414yes—
856C4⋊C4×C61C2414yes—
857C4⋊C4×C61C2412yes—
858C4⋊C4×C61C2412yes—
859C4⋊C4×C61C2414yes—
860C4⋊C4×C61C2412yes—
861C4⋊C4×C61C2414yes—
862C4⋊C4×C61C2414yes—
863C4⋊C4×C61C2414yes—
864C4⋊C4×C61C2412yes—
865C4⋊C4×C61C2414yes—
866C4⋊C4×C61C2414yes—
867C4⋊C4×C61C2412yes—
868C4⋊C4×C61C2414yes—
869C4⋊C4×C61C2412yes—
870C4⋊C4×C61C2414yes—
871C4⋊C4×C61C2412yes—
872C4⋊C4×C61C2414yes—
873C4⋊C4×C61C2414yes—
874C4⋊C4×C61C2411yescharacteristic
875C4⋊C4×C61C2414yes—
876C4⋊C4×C61C2411yescharacteristic
877C4⋊C4×C61C2412yes—
878C4⋊C4×C61C2412yes—
879C4⋊C4×C61C2412yes—
880C4⋊C4×C61C2414yes—
881C4⋊C4×C61C2412yes—
882C4⋊C4×C61C2414yes—
883C4⋊C4×C61C2411yescharacteristic
884C4⋊C4×C61C2411yescharacteristic
885C4⋊C4×C61C2412yes—
886C4⋊C4×C61C2412yes—
887C22⋊C4×C61C2412yes—
888C22⋊C4×C61C2412yes—
889C22⋊C4×C61C2412yes—
890C22⋊C4×C61C2414yes—
891C22⋊C4×C61C2414yes—
892C22⋊C4×C61C2412yes—
893C22⋊C4×C61C2414yes—
894C22⋊C4×C61C2414yes—
895C22⋊C4×C61C2414yes—
896C22⋊C4×C61C2412yes—
897C22⋊C4×C61C2414yes—
898C22⋊C4×C61C2412yes—
899C22⋊C4×C61C2412yes—
900C22⋊C4×C61C2412yes—
901C22⋊C4×C61C2412yes—
902C22⋊C4×C61C2414yes—
903C22⋊C4×C61C2414yes—
904C22⋊C4×C61C2414yes—
905C22⋊C4×C61C2414yes—
906C22⋊C4×C61C2414yes—
907C22⋊C4×C61C2412yes—
908C22⋊C4×C61C2412yes—
909C22⋊C4×C61C2412yes—
910C22⋊C4×C61C2414yes—
911C22⋊C4×C61C2414yes—
912C22⋊C4×C61C2414yes—
913C22⋊C4×C61C2414yes—
914C22⋊C4×C61C2414yes—
915C22⋊C4×C61C2414yes—
916C22⋊C4×C61C2414yes—
917C22⋊C4×C61C2414yes—
918C22⋊C4×C61C2414yes—
919C22⋊C4×C61C2414yes—
920C22⋊C4×C61C2414yes—
921C22⋊C4×C61C2412yes—
922C22⋊C4×C61C2412yes—
923C22⋊C4×C61C2412yes—
924C22⋊C4×C61C2414yes—
925C22⋊C4×C61C2412yes—
926C22⋊C4×C61C2414yes—
927C22⋊C4×C61C2414yes—
928C22⋊C4×C61C2414yes—
929C22⋊C4×C61C2412yes—
930C22⋊C4×C61C2412yes—
931C22⋊C4×C61C2414yes—
932C22⋊C4×C61C2414yes—
933C22⋊C4×C61C2414yes—
934C22⋊C4×C61C2414yes—
935C22⋊C4×C61C2414yes—
936C22⋊C4×C61C2412yes—
937C22⋊C4×C61C2414yes—
938C22⋊C4×C61C2412yes—
939C22⋊C4×C61C2414yes—
940C22⋊C4×C61C2412yes—
941C22⋊C4×C61C2414yes—
942C22⋊C4×C61C2412yes—
943C22⋊C4×C61C2412yes—
944C22⋊C4×C61C2412yes—
945C22⋊C4×C61C2412yes—
946C22⋊C4×C61C2412yes—
947C42×C61C2412yes—
948C42×C61C2412yes—
949C42×C61C2412yes—
950C42×C61C2412yes—
951C42×C61C2412yes—
952C42×C61C2414yes—
953C42×C61C2414yes—
954C42×C61C2414yes—
955C42×C61C2412yes—
956C42×C61C2412yes—
957C42×C61C2412yes—
958C42×C61C2412yes—
959C42×C61C2412yes—
960C42×C61C2412yes—
961C42×C61C2412yes—
962C42×C61C2414yes—
963C42×C61C2414yes—
964C42×C61C2414yes—
965C42×C61C2414yes—
966C42×C61C2414yes—
967C23×C61—22no—
968C23×C61—22no—
969C23×C61—24no—
970C23×C61—41no—
971C23×C61—41no—
972C23×C61—41no—
973C23×C61—42no—
974C23×C61—44no—
975C23×C61—42no—
976C23×C61—44no—
977C23×C61—44no—
978C23×C61—41no—
979C23×C61—42no—
980C23×C61—42no—
981C23×C61—42no—
982C23×C61C2511yescharacteristic
983C23×C61C2512yes—
984C23×C61C2514yes—
985C23×C61C2514yes—
986C23×C61C2511yescharacteristic
987C23×C61C2512yes—
988C23×C61C2512yes—
989C23×C61C2511yescharacteristic
990Q8×C61—24no—
991Q8×C61—42no—
992Q8×C61—42no—
993Q8×C61—41no—
994Q8×C61—42no—
995Q8×C61—41no—
996Q8×C61—44no—
997Q8×C61—44no—
998Q8×C61—44no—
999D4×C61—24no—
1000D4×C61—28no—
1001D4×C61—24no—
1002D4×C61—24no—
1003D4×C61—24no—
1004D4×C61—42no—
1005D4×C61—44no—
1006D4×C61—42no—
1007D4×C61—42no—
1008D4×C61—42no—
1009D4×C61—44no—
1010D4×C61—44no—
1011D4×C61—44no—
1012D4×C61—44no—
1013D4×C61—44no—
1014D4×C61—44no—
1015D4×C61—42no—
1016D4×C61—44no—
1017D4×C61—44no—
1018D4×C61—44no—
1019D4×C61—42no—
1020D4×C61—41no—
1021D4×C61—42no—
1022D4×C61—42no—
1023D4×C61—42no—
1024D4×C61—41no—
1025D4×C61—42no—
1026D4×C61—42no—
1027D4×C61—44no—
1028D4×C61—44no—
1029D4×C61—44no—
1030D4×C61—42no—
1031D4×C61—44no—
1032D4×C61—44no—
1033D4×C61—44no—
1034D4×C61—42no—
1035D4×C61—42no—
1036C2×C4×C61—24no—
1037C2×C4×C61—22no—
1038C2×C4×C61—22no—
1039C2×C4×C61—22no—
1040C2×C4×C61—22no—
1041C2×C4×C61—24no—
1042C2×C4×C61—24no—
1043C2×C4×C61—24no—
1044C2×C4×C61—42no—
1045C2×C4×C61—41no—
1046C2×C4×C61—41no—
1047C2×C4×C61—41no—
1048C2×C4×C61—41no—
1049C2×C4×C61—41no—
1050C2×C4×C61—44no—
1051C2×C4×C61—42no—
1052C2×C4×C61—42no—
1053C2×C4×C61—42no—
1054C2×C4×C61—44no—
1055C2×C4×C61—44no—
1056C2×C4×C61—44no—
1057C2×C4×C61—44no—
1058C2×C4×C61—44no—
1059C2×C4×C61—44no—
1060C2×C4×C61—44no—
1061C2×C4×C61—42no—
1062C2×C4×C61—44no—
1063C2×C4×C61—44no—
1064C2×C4×C61—42no—
1065C2×C4×C61—44no—
1066C2×C4×C61—44no—
1067C2×C4×C61—44no—
1068C2×C4×C61—42no—
1069C2×C4×C61—42no—
1070C2×C4×C61—44no—
1071C2×C4×C61—42no—
1072C2×C4×C61—44no—
1073C2×C4×C61—42no—
1074C2×C4×C61C2512yes—
1075C2×C4×C61C2512yes—
1076C2×C4×C61C2512yes—
1077C2×C4×C61C2512yes—
1078C2×C4×C61C2511yescharacteristic
1079C2×C4×C61C2512yes—
1080C2×C4×C61C2512yes—
1081C2×C4×C61C2514yes—
1082C2×C4×C61C2512yes—
1083C2×C4×C61C2511yescharacteristic
1084C2×C4×C61C2512yes—
1085C2×C4×C61C2514yes—
1086C2×C4×C61C2512yes—
1087C2×C4×C61C2512yes—
1088C2×C4×C61C2511yescharacteristic
1089C2×C4×C61C2512yes—
1090C2×C4×C61C2512yes—
1091C2×C4×C61C2512yes—
1092C2×C4×C61C2514yes—
1093C2×C4×C61C2514yes—
1094C2×C4×C61C2511yescharacteristic
1095#62935C6111yesmaximal, characteristic, direct product factor, Sylow
1096C22×C61—21no—
1097C22×C61—21no—
1098C22×C61—21no—
1099C22×C61—22no—
1100C22×C61—21no—
1101C22×C61—22no—
1102C22×C61—22no—
1103C22×C61—22no—
1104C22×C61—21no—
1105C22×C61—22no—
1106C22×C61—24no—
1107C22×C61—24no—
1108C22×C61—24no—
1109C22×C61—24no—
1110C22×C61—22no—
1111C22×C61—21no—
1112C22×C61—22no—
1113C22×C61—22no—
1114C22×C61—22no—
1115C22×C61—24no—
1116C22×C61—24no—
1117C22×C61—21no—
1118C22×C61—21no—
1119C22×C61—44no—
1120C22×C61—82no—
1121C22×C61—84no—
1122C22×C61—88no—
1123C22×C61—162no—
1124C22×C61#58512yes—
1125C22×C61C2611yescharacteristic
1126C4×C61—22no—
1127C4×C61—21no—
1128C4×C61—22no—
1129C4×C61—22no—
1130C4×C61—21no—
1131C4×C61—22no—
1132C4×C61—21no—
1133C4×C61—22no—
1134C4×C61—22no—
1135C4×C61—24no—
1136C4×C61—22no—
1137C4×C61—22no—
1138C4×C61—24no—
1139C4×C61—22no—
1140C4×C61—22no—
1141C4×C61—24no—
1142C4×C61—22no—
1143C4×C61—22no—
1144C4×C61—24no—
1145C4×C61—22no—
1146C4×C61#58512yes—
1147#3566C2×C6114yescomplemented
1148#3566C2×C6114yescomplemented
1149#3565C2×C6112yescomplemented
1150#3564C2×C6112yescomplemented
1151#3560C2×C6112yescomplemented
1152#3559C2×C6112yescomplemented
1153#3551C2×C6112yescomplemented
1154#3546C2×C6112yescomplemented
1155#3542C2×C6114yescomplemented
1156#3542C2×C6112yescomplemented
1157#3539C2×C6114yescomplemented
1158#3537C2×C6111yescharacteristic, complemented
1159#3536C2×C6111yescharacteristic, complemented
1160#3533C2×C6114yescomplemented
1161#3524C2×C6112yescomplemented
1162#3515C2×C6112yescomplemented
1163#3513C2×C6114yescomplemented
1164#3513C2×C6112yescomplemented
1165#3512C2×C6112yescomplemented
1166#3506C2×C6112yescomplemented
1167#3506C2×C6112yescomplemented
1168#3505C2×C6111yescharacteristic, complemented
1169#3495C2×C6111yescharacteristic, complemented
1170#3494C2×C6111yescharacteristic, complemented
1171#3492C2×C6112yescomplemented
1172#3481C2×C6112yescomplemented
1173C2×#553C2×C6111yescharacteristic, complemented
1174#3460C2×C6111yescharacteristic, complemented
1175#3459C2×C6112yescomplemented
1176C2×C61—22no—
1177C2×C61—42no—
1178C2×C61—42no—
1179C2×C61—41no—
1180C2×C61—42no—
1181C2×C61—44no—
1182C2×C61—44no—
1183C2×C61—41no—
1184C2×C61C2×#58511yescharacteristic
1185C2×C61C2×#58511yescharacteristic
1186C2×C61H(7,𝔽2)11yescharacteristic
1187#563C22×C6114yescomplemented
1188#563C22×C6114yescomplemented
1189#563C22×C6114yescomplemented
1190#562C22×C6114yescomplemented
1191#562C22×C6114yescomplemented
1192#562C22×C6114yescomplemented
1193#562C22×C6114yescomplemented
1194#560C22×C6114yescomplemented
1195#560C22×C6114yescomplemented
1196#560C22×C6114yescomplemented
1197#560C22×C6114yescomplemented
1198#560C22×C6114yescomplemented
1199#559C22×C6112yescomplemented
1200#559C22×C6114yescomplemented
1201#559C22×C6114yescomplemented
1202#559C22×C6114yescomplemented
1203#557C22×C6112yescomplemented
1204#556C22×C6112yescomplemented
1205#556C22×C6114yescomplemented
1206#556C22×C6114yescomplemented
1207#555C22×C6112yescomplemented
1208#555C22×C6112yescomplemented
1209#555C22×C6114yescomplemented
1210#555C22×C6114yescomplemented
1211#554C22×C6112yescomplemented
1212#554C22×C6112yescomplemented
1213#554C22×C6114yescomplemented
1214#554C22×C6112yescomplemented
1215#554C22×C6112yescomplemented
1216#553C22×C6112yes—
1217#553C22×C6112yescomplemented
1218#553C22×C6112yescomplemented
1219#553C22×C6114yescomplemented
1220#553C22×C6114yescomplemented
1221#553C22×C6112yescomplemented
1222#553C22×C6112yescomplemented
1223#553C22×C6112yescomplemented
1224#553C22×C6112yescomplemented
1225#553C22×C6114yescomplemented
1226#553C22×C6114yescomplemented
1227#553C22×C6112yescomplemented
1228#553C22×C6112yescomplemented
1229#553C22×C6114yescomplemented
1230#553C22×C6114yescomplemented
1231#553C22×C6114yescomplemented
1232#553C22×C6112yescomplemented
1233#553C22×C6114yescomplemented
1234#553C22×C6112yescomplemented
1235#553C22×C6114yescomplemented
1236#553C22×C6112yescomplemented
1237#553C22×C6114yescomplemented
1238#553C22×C6114yescomplemented
1239#552C22×C6112yescomplemented
1240#552C22×C6112yescomplemented
1241#552C22×C6114yescomplemented
1242#552C22×C6112yescomplemented
1243#552C22×C6112yescomplemented
1244#552C22×C6114yescomplemented
1245#552C22×C6112yescomplemented
1246#552C22×C6112yescomplemented
1247#552C22×C6114yescomplemented
1248#552C22×C6114yescomplemented
1249#552C22×C6114yescomplemented
1250#552C22×C6114yescomplemented
1251#552C22×C6114yescomplemented
1252#551C22×C6114yescomplemented
1253#551C22×C6114yescomplemented
1254#551C22×C6114yescomplemented
1255#551C22×C6114yescomplemented
1256#551C22×C6114yescomplemented
1257#551C22×C6114yescomplemented
1258#551C22×C6114yescomplemented
1259#551C22×C6114yescomplemented
1260#551C22×C6114yescomplemented
1261#550C22×C6114yescomplemented
1262#550C22×C6114yescomplemented
1263#550C22×C6112yescomplemented
1264#548C22×C6112yescomplemented
1265#548C22×C6112yescomplemented
1266#547C22×C6112yescomplemented
1267#547C22×C6114yescomplemented
1268#547C22×C6112yescomplemented
1269#547C22×C6112yescomplemented
1270#547C22×C6114yescomplemented
1271#547C22×C6112yescomplemented
1272#547C22×C6114yescomplemented
1273#547C22×C6114yescomplemented
1274#546C22×C6112yescomplemented
1275#546C22×C6114yescomplemented
1276#546C22×C6112yescomplemented
1277#546C22×C6114yescomplemented
1278#546C22×C6112yescomplemented
1279#546C22×C6114yescomplemented
1280#546C22×C6114yescomplemented
1281#546C22×C6114yescomplemented
1282#546C22×C6112yescomplemented
1283#546C22×C6114yescomplemented
1284D42C22×C6112yes—
1285D42C22×C6114yes—
1286D42C22×C6112yescomplemented
1287#544C22×C6111yescharacteristic, complemented
1288#544C22×C6112yescomplemented
1289#544C22×C6111yescharacteristic, complemented
1290#544C22×C6111yescharacteristic, complemented
1291#543C22×C6112yescomplemented
1292#542C22×C6112yescomplemented
1293#542C22×C6112yescomplemented
1294#542C22×C6112yescomplemented
1295#542C22×C6112yescomplemented
1296#542C22×C6114yescomplemented
1297#542C22×C6112yescomplemented
1298#542C22×C6112yescomplemented
1299#542C22×C6114yescomplemented
1300#542C22×C6114yescomplemented
1301#542C22×C6114yescomplemented
1302#541C22×C6112yescomplemented
1303#541C22×C6114yescomplemented
1304#541C22×C6114yescomplemented
1305#541C22×C6114yescomplemented
1306#540C22×C6112yescomplemented
1307#540C22×C6112yescomplemented
1308#540C22×C6112yescomplemented
1309#540C22×C6114yescomplemented
1310#540C22×C6114yescomplemented
1311#540C22×C6112yescomplemented
1312#540C22×C6112yescomplemented
1313#540C22×C6114yescomplemented
1314#540C22×C6114yescomplemented
1315#540C22×C6114yescomplemented
1316#539C22×C6114yescomplemented
1317#539C22×C6114yescomplemented
1318#539C22×C6114yescomplemented
1319#539C22×C6114yescomplemented
1320#539C22×C6114yescomplemented
1321#539C22×C6112yescomplemented
1322#539C22×C6114yescomplemented
1323#539C22×C6114yescomplemented
1324#539C22×C6114yescomplemented
1325#539C22×C6112yescomplemented
1326#539C22×C6114yescomplemented
1327#538C22×C6112yes—
1328#538C22×C6111yescharacteristic, complemented
1329#538C22×C6112yescomplemented
1330#538C22×C6114yescomplemented
1331#538C22×C6114yescomplemented
1332#538C22×C6111yescharacteristic, complemented
1333#538C22×C6112yescomplemented
1334#538C22×C6114yescomplemented
1335#538C22×C6112yescomplemented
1336#538C22×C6114yescomplemented
1337#538C22×C6114yescomplemented
1338#538C22×C6114yescomplemented
1339#538C22×C6114yescomplemented
1340#538C22×C6114yescomplemented
1341#538C22×C6112yescomplemented
1342#537C22×C6111yescharacteristic, complemented
1343#537C22×C6112yescomplemented
1344#537C22×C6112yescomplemented
1345#537C22×C6112yescomplemented
1346#537C22×C6112yescomplemented
1347#537C22×C6114yescomplemented
1348#536C22×C6111yescharacteristic, complemented
1349#535C22×C6112yescomplemented
1350#535C22×C6111yescharacteristic, complemented
1351#535C22×C6112yescomplemented
1352#535C22×C6114yescomplemented
1353#535C22×C6112yescomplemented
1354#535C22×C6114yescomplemented
1355#534C22×C6112yes—
1356#534C22×C6114yescomplemented
1357#534C22×C6112yescomplemented
1358#534C22×C6112yescomplemented
1359#533C22×C6112yescomplemented
1360#533C22×C6112yescomplemented
1361#532C22×C6112yescomplemented
1362#532C22×C6112yescomplemented
1363#532C22×C6112yescomplemented
1364#532C22×C6112yescomplemented
1365#529C22×C6112yescomplemented
1366#529C22×C6112yescomplemented
1367#529C22×C6114yescomplemented
1368#529C22×C6114yescomplemented
1369#529C22×C6112yescomplemented
1370#529C22×C6112yescomplemented
1371#529C22×C6112yescomplemented
1372#529C22×C6112yescomplemented
1373#529C22×C6114yescomplemented
1374#529C22×C6114yescomplemented
1375#529C22×C6112yescomplemented
1376#529C22×C6114yescomplemented
1377#529C22×C6112yescomplemented
1378C2×#126C22×C6112yescomplemented
1379C2×#125C22×C6111yescharacteristic, complemented
1380C2×#125C22×C6112yescomplemented
1381#525C22×C6111yescharacteristic
1382#525C22×C6114yescomplemented
1383#525C22×C6114yescomplemented
1384#525C22×C6114yescomplemented
1385#525C22×C6112yescomplemented
1386#525C22×C6111yescharacteristic, complemented
1387#525C22×C6114yescomplemented
1388#525C22×C6114yescomplemented
1389#525C22×C6112yescomplemented
1390#525C22×C6114yescomplemented
1391#525C22×C6114yescomplemented
1392C2×#123C22×C6112yescomplemented
1393C2×#123C22×C6114yescomplemented
1394C2×C22⋊Q8C22×C6111yescharacteristic, complemented
1395C2×#121C22×C6111yescharacteristic
1396C2×#121C22×C6111yescharacteristic
1397C2×#121C22×C6112yescomplemented
1398C2×#121C22×C6111yescharacteristic, complemented
1399#520C22×C6112yescomplemented
1400#520C22×C6112yescomplemented
1401#520C22×C6111yescharacteristic, complemented
1402#520C22×C6111yescharacteristic, complemented
1403#520C22×C6114yescomplemented
1404#519C22×C6111yescharacteristic, complemented
1405#518C22×C6111yescharacteristic, complemented
1406#518C22×C6112yescomplemented
1407C4×#41C22×C6112yescomplemented
1408C4×#41C22×C6112yescomplemented
1409C2×C4×D4C22×C6112yescomplemented
1410C2×C4×D4C22×C6114yescomplemented
1411C2×C4×D4C22×C6111yescharacteristic, complemented
1412C2×C4×D4C22×C6111yescharacteristic, complemented
1413C2×C4×D4C22×C6112yescomplemented
1414C2×#117C22×C6111yescharacteristic, complemented
1415C22×C4⋊C4C22×C6111yescharacteristic, complemented
1416C61#6293511yescharacteristic, direct product factor, Sylow
1417C2×#41C23×C6112yes—
1418C2×#41C23×C6112yes—
1419C2×#41C23×C6111yescharacteristic
1420C2×#41C23×C6111yescharacteristic
1421C2×#41C23×C6112yes—
1422C2×#41C23×C6112yes—
1423C2×#41C23×C6114yes—
1424C2×#41C23×C6114yes—
1425C2×#41C23×C6114yes—
1426C2×#41C23×C6114yes—
1427C2×#41C23×C6114yes—
1428C22×Q8C23×C6111yescharacteristic
1429C22×D4C23×C6111yescharacteristic
1430C22×D4C23×C6111yescharacteristic
1431C22×D4C23×C6112yes—
1432C22×D4C23×C6114yes—
1433C22×D4C23×C6112yes—
1434C22×D4C23×C6112yes—
1435C22×D4C23×C6111yescharacteristic
1436C22×D4C23×C6112yes—
1437C22×D4C23×C6114yes—
1438C23×C4C23×C6111yescharacteristic
1439C23×C4C23×C6111yescharacteristic
1440C23×C4C23×C6112yes—
1441C23×C4C23×C6112yes—
1442C23×C4C23×C6114yes—
1443C4⋊Q8C23×C6112yes—
1444C4⋊Q8C23×C6112yes—
1445C4⋊Q8C23×C6112yes—
1446C4⋊Q8C23×C6112yes—
1447C4⋊Q8C23×C6112yes—
1448C4⋊Q8C23×C6112yes—
1449C4⋊Q8C23×C6112yes—
1450C4⋊Q8C23×C6112yes—
1451C4⋊Q8C23×C6114yes—
1452C4⋊Q8C23×C6114yes—
1453#127C23×C6112yes—
1454#127C23×C6112yes—
1455#127C23×C6112yes—
1456#127C23×C6112yes—
1457#127C23×C6114yes—
1458#127C23×C6114yes—
1459#127C23×C6114yes—
1460#126C23×C6114yes—
1461#126C23×C6114yes—
1462#126C23×C6114yes—
1463#126C23×C6114yes—
1464#126C23×C6114yes—
1465#126C23×C6112yes—
1466#126C23×C6112yes—
1467#126C23×C6114yes—
1468#126C23×C6114yes—
1469#126C23×C6114yes—
1470#126C23×C6114yes—
1471#126C23×C6114yes—
1472#126C23×C6114yes—
1473#126C23×C6114yes—
1474#126C23×C6112yes—
1475#126C23×C6112yes—
1476#126C23×C6114yes—
1477#126C23×C6114yes—
1478#126C23×C6114yes—
1479#126C23×C6114yes—
1480#126C23×C6114yes—
1481#126C23×C6114yes—
1482#126C23×C6114yes—
1483#126C23×C6114yes—
1484#126C23×C6114yes—
1485#126C23×C6114yes—
1486#126C23×C6114yes—
1487#126C23×C6114yes—
1488#126C23×C6114yes—
1489#126C23×C6114yes—
1490#125C23×C6112yes—
1491#125C23×C6114yes—
1492#125C23×C6112yes—
1493#125C23×C6112yes—
1494#125C23×C6114yes—
1495#125C23×C6114yes—
1496#125C23×C6112yes—
1497#125C23×C6112yes—
1498#125C23×C6112yes—
1499#125C23×C6112yes—
1500#125C23×C6112yes—
1501#125C23×C6114yes—
1502#125C23×C6114yes—
1503#125C23×C6114yes—
1504#125C23×C6112yes—
1505#125C23×C6112yes—
1506#125C23×C6114yes—
1507#125C23×C6114yes—
1508#125C23×C6114yes—
1509#125C23×C6114yes—
1510#125C23×C6114yes—
1511#125C23×C6114yes—
1512#125C23×C6114yes—
1513#125C23×C6114yes—
1514#124C23×C6112yes—
1515#124C23×C6112yes—
1516#124C23×C6112yes—
1517#124C23×C6112yes—
1518#124C23×C6112yes—
1519#124C23×C6112yes—
1520#124C23×C6112yes—
1521#124C23×C6114yes—
1522#124C23×C6114yes—
1523#124C23×C6114yes—
1524#124C23×C6112yes—
1525#124C23×C6114yes—
1526#124C23×C6112yes—
1527#124C23×C6114yes—
1528#124C23×C6112yes—
1529#124C23×C6114yes—
1530#124C23×C6114yes—
1531#124C23×C6114yes—
1532#124C23×C6114yes—
1533#124C23×C6114yes—
1534#124C23×C6114yes—
1535#124C23×C6114yes—
1536#124C23×C6114yes—
1537#123C23×C6112yes—
1538#123C23×C6114yes—
1539#123C23×C6114yes—
1540#123C23×C6114yes—
1541#123C23×C6114yes—
1542#123C23×C6114yes—
1543#123C23×C6114yes—
1544#123C23×C6114yes—
1545#123C23×C6114yes—
1546#123C23×C6114yes—
1547#123C23×C6114yes—
1548#123C23×C6112yes—
1549#123C23×C6112yes—
1550#123C23×C6114yes—
1551#123C23×C6112yes—
1552#123C23×C6114yes—
1553#123C23×C6114yes—
1554#123C23×C6114yes—
1555#123C23×C6114yes—
1556#123C23×C6114yes—
1557#123C23×C6112yes—
1558#123C23×C6114yes—
1559#123C23×C6114yes—
1560#123C23×C6114yes—
1561#123C23×C6114yes—
1562#123C23×C6112yes—
1563#123C23×C6114yes—
1564#123C23×C6114yes—
1565#123C23×C6114yes—
1566#123C23×C6114yes—
1567#123C23×C6114yes—
1568#123C23×C6114yes—
1569#123C23×C6114yes—
1570#123C23×C6114yes—
1571#123C23×C6114yes—
1572#123C23×C6112yes—
1573#123C23×C6112yes—
1574#123C23×C6114yes—
1575#123C23×C6114yes—
1576#123C23×C6114yes—
1577#123C23×C6114yes—
1578#123C23×C6114yes—
1579#123C23×C6114yes—
1580#123C23×C6114yes—
1581#123C23×C6114yes—
1582#123C23×C6114yes—
1583#123C23×C6114yes—
1584#123C23×C6114yes—
1585#123C23×C6114yes—
1586#123C23×C6114yes—
1587#123C23×C6114yes—
1588#123C23×C6114yes—
1589C22⋊Q8C23×C6112yes—
1590C22⋊Q8C23×C6112yes—
1591C22⋊Q8C23×C6112yes—
1592C22⋊Q8C23×C6112yes—
1593C22⋊Q8C23×C6111yescharacteristic
1594C22⋊Q8C23×C6111yescharacteristic
1595C22⋊Q8C23×C6114yes—
1596C22⋊Q8C23×C6114yes—
1597C22⋊Q8C23×C6111yescharacteristic
1598C22⋊Q8C23×C6114yes—
1599C22⋊Q8C23×C6114yes—
1600C22⋊Q8C23×C6114yes—
1601C22⋊Q8C23×C6112yes—
1602C22⋊Q8C23×C6112yes—
1603C22⋊Q8C23×C6111yescharacteristic
1604C22⋊Q8C23×C6114yes—
1605C22⋊Q8C23×C6114yes—
1606C22⋊Q8C23×C6114yes—
1607C22⋊Q8C23×C6114yes—
1608C22⋊Q8C23×C6114yes—
1609C22⋊Q8C23×C6114yes—
1610C22⋊Q8C23×C6114yes—
1611C22⋊Q8C23×C6112yes—
1612C22⋊Q8C23×C6112yes—
1613C22⋊Q8C23×C6112yes—
1614C22⋊Q8C23×C6112yes—
1615C22⋊Q8C23×C6114yes—
1616C22⋊Q8C23×C6112yes—
1617C22⋊Q8C23×C6114yes—
1618C22⋊Q8C23×C6112yes—
1619C22⋊Q8C23×C6114yes—
1620C22⋊Q8C23×C6114yes—
1621C22⋊Q8C23×C6114yes—
1622C22⋊Q8C23×C6114yes—
1623C22⋊Q8C23×C6114yes—
1624C22⋊Q8C23×C6114yes—
1625C22⋊Q8C23×C6114yes—
1626C22⋊Q8C23×C6114yes—
1627C22⋊Q8C23×C6114yes—
1628C22⋊Q8C23×C6114yes—
1629C22⋊Q8C23×C6114yes—
1630C22⋊Q8C23×C6114yes—
1631C22⋊Q8C23×C6114yes—
1632#121C23×C6112yes—
1633#121C23×C6112yes—
1634#121C23×C6112yes—
1635#121C23×C6112yes—
1636#121C23×C6112yes—
1637#121C23×C6112yes—
1638#121C23×C6112yes—
1639#121C23×C6112yes—
1640#121C23×C6112yes—
1641#121C23×C6114yes—
1642#121C23×C6112yes—
1643#121C23×C6114yes—
1644#121C23×C6114yes—
1645#121C23×C6114yes—
1646#121C23×C6114yes—
1647#121C23×C6111yescharacteristic
1648#121C23×C6111yescharacteristic
1649#121C23×C6112yes—
1650#121C23×C6112yes—
1651#121C23×C6114yes—
1652#121C23×C6111yescharacteristic
1653#121C23×C6114yes—
1654#121C23×C6114yes—
1655#121C23×C6114yes—
1656#121C23×C6114yes—
1657#121C23×C6112yes—
1658#121C23×C6111yescharacteristic
1659#121C23×C6112yes—
1660#121C23×C6114yes—
1661#121C23×C6114yes—
1662#121C23×C6114yes—
1663#121C23×C6114yes—
1664#121C23×C6114yes—
1665#121C23×C6114yes—
1666#121C23×C6112yes—
1667#121C23×C6114yes—
1668#121C23×C6114yes—
1669#121C23×C6112yes—
1670#121C23×C6112yes—
1671#121C23×C6112yes—
1672#121C23×C6112yes—
1673#121C23×C6112yes—
1674#121C23×C6114yes—
1675#121C23×C6114yes—
1676#121C23×C6114yes—
1677#121C23×C6112yes—
1678#121C23×C6112yes—
1679#121C23×C6112yes—
1680#121C23×C6112yes—
1681#121C23×C6112yes—
1682#121C23×C6114yes—
1683#121C23×C6112yes—
1684#121C23×C6112yes—
1685#121C23×C6112yes—
1686#121C23×C6114yes—
1687#121C23×C6114yes—
1688#121C23×C6114yes—
1689#121C23×C6114yes—
1690#121C23×C6114yes—
1691#121C23×C6114yes—
1692#121C23×C6114yes—
1693#121C23×C6114yes—
1694#121C23×C6114yes—
1695#121C23×C6114yes—
1696#121C23×C6114yes—
1697#121C23×C6114yes—
1698#121C23×C6114yes—
1699#121C23×C6114yes—
1700#121C23×C6114yes—
1701#121C23×C6114yes—
1702#121C23×C6114yes—
1703#120C23×C6112yes—
1704#120C23×C6112yes—
1705#120C23×C6114yes—
1706#120C23×C6112yes—
1707#120C23×C6114yes—
1708#120C23×C6114yes—
1709#120C23×C6114yes—
1710#120C23×C6114yes—
1711#120C23×C6114yes—
1712#120C23×C6114yes—
1713#120C23×C6114yes—
1714#120C23×C6112yes—
1715#120C23×C6114yes—
1716#120C23×C6114yes—
1717#120C23×C6114yes—
1718#120C23×C6114yes—
1719#120C23×C6114yes—
1720#120C23×C6114yes—
1721C4×Q8C23×C6112yes—
1722C4×Q8C23×C6112yes—
1723C4×Q8C23×C6112yes—
1724C4×Q8C23×C6112yes—
1725C4×Q8C23×C6112yes—
1726C4×Q8C23×C6112yes—
1727C4×Q8C23×C6112yes—
1728C4×Q8C23×C6112yes—
1729C4×Q8C23×C6114yes—
1730C4×Q8C23×C6112yes—
1731C4×Q8C23×C6114yes—
1732C4×Q8C23×C6114yes—
1733C4×Q8C23×C6112yes—
1734C4×Q8C23×C6114yes—
1735C4×Q8C23×C6114yes—
1736C4×D4C23×C6112yes—
1737C4×D4C23×C6112yes—
1738C4×D4C23×C6114yes—
1739C4×D4C23×C6112yes—
1740C4×D4C23×C6114yes—
1741C4×D4C23×C6114yes—
1742C4×D4C23×C6114yes—
1743C4×D4C23×C6114yes—
1744C4×D4C23×C6114yes—
1745C4×D4C23×C6114yes—
1746C4×D4C23×C6114yes—
1747C4×D4C23×C6114yes—
1748C4×D4C23×C6114yes—
1749C4×D4C23×C6114yes—
1750C4×D4C23×C6112yes—
1751C4×D4C23×C6112yes—
1752C4×D4C23×C6112yes—
1753C4×D4C23×C6112yes—
1754C4×D4C23×C6114yes—
1755C4×D4C23×C6114yes—
1756C4×D4C23×C6114yes—
1757C4×D4C23×C6112yes—
1758C4×D4C23×C6112yes—
1759C4×D4C23×C6112yes—
1760C4×D4C23×C6112yes—
1761C4×D4C23×C6112yes—
1762C4×D4C23×C6112yes—
1763C4×D4C23×C6112yes—
1764C4×D4C23×C6114yes—
1765C4×D4C23×C6112yes—
1766C4×D4C23×C6112yes—
1767C4×D4C23×C6114yes—
1768C4×D4C23×C6112yes—
1769C4×D4C23×C6114yes—
1770C4×D4C23×C6114yes—
1771C4×D4C23×C6112yes—
1772C4×D4C23×C6114yes—
1773C4×D4C23×C6112yes—
1774C4×D4C23×C6112yes—
1775C4×D4C23×C6114yes—
1776C4×D4C23×C6114yes—
1777C4×D4C23×C6114yes—
1778C4×D4C23×C6114yes—
1779C4×D4C23×C6114yes—
1780C4×D4C23×C6114yes—
1781C4×D4C23×C6114yes—
1782C4×D4C23×C6114yes—
1783C4×D4C23×C6114yes—
1784C4×D4C23×C6114yes—
1785C4×D4C23×C6112yes—
1786C4×D4C23×C6114yes—
1787C4×D4C23×C6112yes—
1788C4×D4C23×C6112yes—
1789C4×D4C23×C6112yes—
1790C4×D4C23×C6112yes—
1791C4×D4C23×C6112yes—
1792C4×D4C23×C6114yes—
1793C4×D4C23×C6114yes—
1794C4×D4C23×C6114yes—
1795C4×D4C23×C6114yes—
1796C4×D4C23×C6114yes—
1797C4×D4C23×C6114yes—
1798C4×D4C23×C6114yes—
1799#117C23×C6111yescharacteristic
1800#117C23×C6111yescharacteristic
1801#117C23×C6111yescharacteristic
1802#117C23×C6111yescharacteristic
1803#117C23×C6112yes—
1804#117C23×C6112yes—
1805#117C23×C6112yes—
1806#117C23×C6112yes—
1807#117C23×C6114yes—
1808#117C23×C6112yes—
1809#117C23×C6112yes—
1810#117C23×C6111yescharacteristic
1811#117C23×C6114yes—
1812#117C23×C6111yescharacteristic
1813#117C23×C6114yes—
1814#117C23×C6112yes—
1815#117C23×C6112yes—
1816#117C23×C6114yes—
1817#117C23×C6114yes—
1818#117C23×C6114yes—
1819#117C23×C6114yes—
1820#117C23×C6112yes—
1821#117C23×C6112yes—
1822#117C23×C6114yes—
1823#117C23×C6114yes—
1824#117C23×C6114yes—
1825#117C23×C6114yes—
1826#117C23×C6114yes—
1827#117C23×C6114yes—
1828#117C23×C6114yes—
1829#117C23×C6114yes—
1830C2×C4⋊C4C23×C6111yescharacteristic
1831C2×C4⋊C4C23×C6112yes—
1832C2×C4⋊C4C23×C6111yescharacteristic
1833C2×C4⋊C4C23×C6112yes—
1834C2×C4⋊C4C23×C6112yes—
1835C2×C4⋊C4C23×C6114yes—
1836C2×C4⋊C4C23×C6111yescharacteristic
1837C2×C4⋊C4C23×C6112yes—
1838C2×C4⋊C4C23×C6112yes—
1839C2×C4⋊C4C23×C6111yescharacteristic
1840C2×C4⋊C4C23×C6114yes—
1841C2×C4⋊C4C23×C6111yescharacteristic
1842C2×C4⋊C4C23×C6111yescharacteristic
1843C2×C4⋊C4C23×C6114yes—
1844C2×C4⋊C4C23×C6114yes—
1845C2×C4⋊C4C23×C6112yes—
1846C2×C4⋊C4C23×C6112yes—
1847C2×C4⋊C4C23×C6114yes—
1848C2×C4⋊C4C23×C6112yes—
1849C2×C4⋊C4C23×C6112yes—
1850C2×C4⋊C4C23×C6114yes—
1851C2×C22⋊C4C23×C6112yes—
1852C2×C22⋊C4C23×C6111yescharacteristic
1853C2×C22⋊C4C23×C6111yescharacteristic
1854C2×C22⋊C4C23×C6112yes—
1855C2×C22⋊C4C23×C6112yes—
1856C2×C22⋊C4C23×C6114yes—
1857C2×C22⋊C4C23×C6114yes—
1858C2×C22⋊C4C23×C6114yes—
1859C2×C22⋊C4C23×C6112yes—
1860C2×C22⋊C4C23×C6114yes—
1861C2×C22⋊C4C23×C6114yes—
1862C2×C22⋊C4C23×C6112yes—
1863C2×C22⋊C4C23×C6112yes—
1864C2×C22⋊C4C23×C6114yes—
1865C2×C42C23×C6112yes—
1866C2×C42C23×C6111yescharacteristic
1867C2×C42C23×C6114yes—
1868C2×C42C23×C6112yes—
1869C2×C42C23×C6112yes—
1870C24C24×C6111yescharacteristic
1871C24C24×C6112yes—
1872C24C24×C6111yescharacteristic
1873C24C24×C6112yes—
1874C24C24×C6114yes—
1875#41—42no—
1876#41—42no—
1877#41—44no—
1878#41—44no—
1879#41—48no—
1880#41—44no—
1881#41—44no—
1882#41—84no—
1883#41—84no—
1884#41—84no—
1885#41—84no—
1886C2×Q8—42no—
1887C2×Q8C24×C6112yes—
1888C2×Q8C24×C6112yes—
1889C2×Q8C24×C6112yes—
1890C2×Q8C24×C6112yes—
1891C2×Q8C24×C6111yescharacteristic
1892C2×Q8C24×C6114yes—
1893C2×Q8C24×C6111yescharacteristic
1894C2×Q8C24×C6114yes—
1895C2×Q8C24×C6114yes—
1896C2×D4—42no—
1897C2×D4—42no—
1898C2×D4—44no—
1899C2×D4—44no—
1900C2×D4—42no—
1901C2×D4—48no—
1902C2×D4—44no—
1903C2×D4—82no—
1904C2×D4—84no—
1905C2×D4C24×C6112yes—
1906C2×D4C24×C6112yes—
1907C2×D4C24×C6114yes—
1908C2×D4C24×C6112yes—
1909C2×D4C24×C6112yes—
1910C2×D4C24×C6111yescharacteristic
1911C2×D4C24×C6112yes—
1912C2×D4C24×C6112yes—
1913C2×D4C24×C6114yes—
1914C2×D4C24×C6112yes—
1915C2×D4C24×C6112yes—
1916C2×D4C24×C6112yes—
1917C2×D4C24×C6114yes—
1918C2×D4C24×C6112yes—
1919C2×D4C24×C6114yes—
1920C2×D4C24×C6114yes—
1921C2×D4C24×C6112yes—
1922C2×D4C24×C6112yes—
1923C2×D4C24×C6114yes—
1924C2×D4C24×C6114yes—
1925C2×D4C24×C6114yes—
1926C2×D4C24×C6114yes—
1927C2×D4C24×C6114yes—
1928C2×D4C24×C6112yes—
1929C2×D4C24×C6112yes—
1930C2×D4C24×C6111yescharacteristic
1931C2×D4C24×C6112yes—
1932C2×D4C24×C6114yes—
1933C2×D4C24×C6114yes—
1934C2×D4C24×C6114yes—
1935C2×D4C24×C6114yes—
1936C2×D4C24×C6114yes—
1937C2×D4C24×C6112yes—
1938C2×D4C24×C6114yes—
1939C2×D4C24×C6114yes—
1940C2×D4C24×C6112yes—
1941C2×D4C24×C6112yes—
1942C22×C4—42no—
1943C22×C4—42no—
1944C22×C4—82no—
1945C22×C4—84no—
1946C22×C4—82no—
1947C22×C4C24×C6112yes—
1948C22×C4C24×C6111yescharacteristic
1949C22×C4C24×C6111yescharacteristic
1950C22×C4C24×C6112yes—
1951C22×C4C24×C6112yes—
1952C22×C4C24×C6112yes—
1953C22×C4C24×C6111yescharacteristic
1954C22×C4C24×C6111yescharacteristic
1955C22×C4C24×C6111yescharacteristic
1956C22×C4C24×C6111yescharacteristic
1957C22×C4C24×C6112yes—
1958C22×C4C24×C6112yes—
1959C22×C4C24×C6114yes—
1960C22×C4C24×C6112yes—
1961C22×C4C24×C6112yes—
1962C22×C4C24×C6114yes—
1963C22×C4C24×C6114yes—
1964C22×C4C24×C6112yes—
1965C22×C4C24×C6111yescharacteristic
1966C22×C4C24×C6114yes—
1967C22×C4C24×C6114yes—
1968C22×C4C24×C6111yescharacteristic
1969C22×C4C24×C6112yes—
1970C22×C4C24×C6112yes—
1971C22×C4C24×C6112yes—
1972C22×C4C24×C6112yes—
1973C22×C4C24×C6114yes—
1974C22×C4C24×C6114yes—
1975C22×C4C24×C6114yes—
1976C22×C4C24×C6114yes—
1977C22×C4C24×C6114yes—
1978C22×C4C24×C6114yes—
1979C22×C4C24×C6114yes—
1980C22×C4C24×C6111yescharacteristic
1981C22×C4C24×C6114yes—
1982C22×C4C24×C6114yes—
1983C22×C4C24×C6114yes—
1984C22×C4C24×C6112yes—
1985C4⋊C4C24×C6111yescharacteristic
1986C4⋊C4C24×C6112yes—
1987C4⋊C4C24×C6114yes—
1988C4⋊C4C24×C6111yescharacteristic
1989C4⋊C4C24×C6111yescharacteristic
1990C4⋊C4C24×C6112yes—
1991C4⋊C4C24×C6112yes—
1992C4⋊C4C24×C6114yes—
1993C4⋊C4C24×C6112yes—
1994C4⋊C4C24×C6114yes—
1995C4⋊C4C24×C6112yes—
1996C4⋊C4C24×C6112yes—
1997C4⋊C4C24×C6114yes—
1998C4⋊C4C24×C6112yes—
1999C4⋊C4C24×C6114yes—
2000C4⋊C4C24×C6112yes—
2001C4⋊C4C24×C6114yes—
2002C4⋊C4C24×C6111yescharacteristic
2003C4⋊C4C24×C6114yes—
2004C4⋊C4C24×C6112yes—
2005C4⋊C4C24×C6114yes—
2006C4⋊C4C24×C6114yes—
2007C4⋊C4C24×C6114yes—
2008C4⋊C4C24×C6114yes—
2009C4⋊C4C24×C6114yes—
2010C4⋊C4C24×C6114yes—
2011C4⋊C4C24×C6114yes—
2012C4⋊C4C24×C6114yes—
2013C4⋊C4C24×C6114yes—
2014C4⋊C4C24×C6114yes—
2015C4⋊C4C24×C6112yes—
2016C4⋊C4C24×C6112yes—
2017C4⋊C4C24×C6114yes—
2018C4⋊C4C24×C6112yes—
2019C4⋊C4C24×C6114yes—
2020C4⋊C4C24×C6114yes—
2021C4⋊C4C24×C6114yes—
2022C4⋊C4C24×C6112yes—
2023C4⋊C4C24×C6114yes—
2024C4⋊C4C24×C6114yes—
2025C4⋊C4C24×C6112yes—
2026C4⋊C4C24×C6114yes—
2027C4⋊C4C24×C6112yes—
2028C4⋊C4C24×C6114yes—
2029C4⋊C4C24×C6112yes—
2030C4⋊C4C24×C6114yes—
2031C4⋊C4C24×C6114yes—
2032C4⋊C4C24×C6111yescharacteristic
2033C4⋊C4C24×C6114yes—
2034C4⋊C4C24×C6111yescharacteristic
2035C4⋊C4C24×C6112yes—
2036C4⋊C4C24×C6112yes—
2037C4⋊C4C24×C6112yes—
2038C4⋊C4C24×C6114yes—
2039C4⋊C4C24×C6112yes—
2040C4⋊C4C24×C6114yes—
2041C4⋊C4C24×C6111yescharacteristic
2042C4⋊C4C24×C6111yescharacteristic
2043C4⋊C4C24×C6112yes—
2044C4⋊C4C24×C6112yes—
2045C22⋊C4C24×C6112yes—
2046C22⋊C4C24×C6112yes—
2047C22⋊C4C24×C6112yes—
2048C22⋊C4C24×C6114yes—
2049C22⋊C4C24×C6114yes—
2050C22⋊C4C24×C6112yes—
2051C22⋊C4C24×C6114yes—
2052C22⋊C4C24×C6114yes—
2053C22⋊C4C24×C6114yes—
2054C22⋊C4C24×C6112yes—
2055C22⋊C4C24×C6114yes—
2056C22⋊C4C24×C6112yes—
2057C22⋊C4C24×C6112yes—
2058C22⋊C4C24×C6112yes—
2059C22⋊C4C24×C6112yes—
2060C22⋊C4C24×C6114yes—
2061C22⋊C4C24×C6114yes—
2062C22⋊C4C24×C6114yes—
2063C22⋊C4C24×C6114yes—
2064C22⋊C4C24×C6114yes—
2065C22⋊C4C24×C6112yes—
2066C22⋊C4C24×C6112yes—
2067C22⋊C4C24×C6112yes—
2068C22⋊C4C24×C6114yes—
2069C22⋊C4C24×C6114yes—
2070C22⋊C4C24×C6114yes—
2071C22⋊C4C24×C6114yes—
2072C22⋊C4C24×C6114yes—
2073C22⋊C4C24×C6114yes—
2074C22⋊C4C24×C6114yes—
2075C22⋊C4C24×C6114yes—
2076C22⋊C4C24×C6114yes—
2077C22⋊C4C24×C6114yes—
2078C22⋊C4C24×C6114yes—
2079C22⋊C4C24×C6112yes—
2080C22⋊C4C24×C6112yes—
2081C22⋊C4C24×C6112yes—
2082C22⋊C4C24×C6114yes—
2083C22⋊C4C24×C6112yes—
2084C22⋊C4C24×C6114yes—
2085C22⋊C4C24×C6114yes—
2086C22⋊C4C24×C6112yes—
2087C22⋊C4C24×C6114yes—
2088C22⋊C4C24×C6112yes—
2089C22⋊C4C24×C6114yes—
2090C22⋊C4C24×C6114yes—
2091C22⋊C4C24×C6114yes—
2092C22⋊C4C24×C6114yes—
2093C22⋊C4C24×C6114yes—
2094C22⋊C4C24×C6112yes—
2095C22⋊C4C24×C6114yes—
2096C22⋊C4C24×C6112yes—
2097C22⋊C4C24×C6114yes—
2098C22⋊C4C24×C6112yes—
2099C22⋊C4C24×C6114yes—
2100C22⋊C4C24×C6112yes—
2101C22⋊C4C24×C6112yes—
2102C22⋊C4C24×C6112yes—
2103C22⋊C4C24×C6112yes—
2104C22⋊C4C24×C6112yes—
2105C42C24×C6112yes—
2106C42C24×C6112yes—
2107C42C24×C6112yes—
2108C42C24×C6112yes—
2109C42C24×C6112yes—
2110C42C24×C6114yes—
2111C42C24×C6114yes—
2112C42C24×C6114yes—
2113C42C24×C6112yes—
2114C42C24×C6112yes—
2115C42C24×C6112yes—
2116C42C24×C6112yes—
2117C42C24×C6112yes—
2118C42C24×C6112yes—
2119C42C24×C6112yes—
2120C42C24×C6114yes—
2121C42C24×C6114yes—
2122C42C24×C6114yes—
2123C42C24×C6114yes—
2124C42C24×C6114yes—
2125C23—22no—
2126C23—22no—
2127C23—24no—
2128C23—41no—
2129C23—41no—
2130C23—41no—
2131C23—42no—
2132C23—44no—
2133C23—42no—
2134C23—44no—
2135C23—44no—
2136C23—41no—
2137C23—42no—
2138C23—42no—
2139C23—42no—
2140C23C25×C6111yescharacteristic
2141C23C25×C6112yes—
2142C23C25×C6114yes—
2143C23C25×C6114yes—
2144C23C25×C6111yescharacteristic
2145C23C25×C6112yes—
2146C23C25×C6112yes—
2147C23C25×C6111yescharacteristic
2148Q8—24no—
2149Q8—42no—
2150Q8—42no—
2151Q8—41no—
2152Q8—42no—
2153Q8—41no—
2154Q8—44no—
2155Q8—44no—
2156Q8—44no—
2157D4—24no—
2158D4—28no—
2159D4—24no—
2160D4—24no—
2161D4—24no—
2162D4—42no—
2163D4—44no—
2164D4—42no—
2165D4—42no—
2166D4—42no—
2167D4—44no—
2168D4—44no—
2169D4—44no—
2170D4—44no—
2171D4—44no—
2172D4—44no—
2173D4—42no—
2174D4—44no—
2175D4—44no—
2176D4—44no—
2177D4—42no—
2178D4—41no—
2179D4—42no—
2180D4—42no—
2181D4—42no—
2182D4—41no—
2183D4—42no—
2184D4—42no—
2185D4—44no—
2186D4—44no—
2187D4—44no—
2188D4—42no—
2189D4—44no—
2190D4—44no—
2191D4—44no—
2192D4—42no—
2193D4—42no—
2194C2×C4—24no—
2195C2×C4—22no—
2196C2×C4—22no—
2197C2×C4—22no—
2198C2×C4—22no—
2199C2×C4—24no—
2200C2×C4—24no—
2201C2×C4—24no—
2202C2×C4—42no—
2203C2×C4—41no—
2204C2×C4—41no—
2205C2×C4—41no—
2206C2×C4—41no—
2207C2×C4—41no—
2208C2×C4—44no—
2209C2×C4—42no—
2210C2×C4—42no—
2211C2×C4—42no—
2212C2×C4—44no—
2213C2×C4—44no—
2214C2×C4—44no—
2215C2×C4—44no—
2216C2×C4—44no—
2217C2×C4—44no—
2218C2×C4—44no—
2219C2×C4—42no—
2220C2×C4—44no—
2221C2×C4—44no—
2222C2×C4—42no—
2223C2×C4—44no—
2224C2×C4—44no—
2225C2×C4—44no—
2226C2×C4—42no—
2227C2×C4—42no—
2228C2×C4—44no—
2229C2×C4—42no—
2230C2×C4—44no—
2231C2×C4—42no—
2232C2×C4C25×C6112yes—
2233C2×C4C25×C6112yes—
2234C2×C4C25×C6112yes—
2235C2×C4C25×C6112yes—
2236C2×C4C25×C6111yescharacteristic
2237C2×C4C25×C6112yes—
2238C2×C4C25×C6112yes—
2239C2×C4C25×C6114yes—
2240C2×C4C25×C6112yes—
2241C2×C4C25×C6111yescharacteristic
2242C2×C4C25×C6112yes—
2243C2×C4C25×C6114yes—
2244C2×C4C25×C6112yes—
2245C2×C4C25×C6112yes—
2246C2×C4C25×C6111yescharacteristic
2247C2×C4C25×C6112yes—
2248C2×C4C25×C6112yes—
2249C2×C4C25×C6112yes—
2250C2×C4C25×C6114yes—
2251C2×C4C25×C6114yes—
2252C2×C4C25×C6111yescharacteristic
2253C22—21no—
2254C22—21no—
2255C22—21no—
2256C22—22no—
2257C22—21no—
2258C22—22no—
2259C22—22no—
2260C22—22no—
2261C22—21no—
2262C22—22no—
2263C22—24no—
2264C22—24no—
2265C22—24no—
2266C22—24no—
2267C22—22no—
2268C22—21no—
2269C22—22no—
2270C22—22no—
2271C22—22no—
2272C22—24no—
2273C22—24no—
2274C22—21no—
2275C22—21no—
2276C22—44no—
2277C22—84no—
2278C22—82no—
2279C22—88no—
2280C22—162no—
2281C22C61×#58512yes—
2282C22C26×C6111yescharacteristic
2283C4—22no—
2284C4—21no—
2285C4—22no—
2286C4—22no—
2287C4—21no—
2288C4—22no—
2289C4—21no—
2290C4—22no—
2291C4—22no—
2292C4—24no—
2293C4—22no—
2294C4—22no—
2295C4—24no—
2296C4—22no—
2297C4—22no—
2298C4—24no—
2299C4—22no—
2300C4—22no—
2301C4—24no—
2302C4—22no—
2303C4C61×#58512yes—
2304C2—22no—
2305C2—42no—
2306C2—42no—
2307C2—44no—
2308C2—41no—
2309C2—44no—
2310C2—41no—
2311C2—42no—
2312C2C2×C61×#58511yescharacteristic
2313C2C2×C61×#58511yescharacteristic
2314C2C61×H(7,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C61C26
commutator, Frattini, cosocleC22C26×C61
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#3566C2semidirect
2. C61×#3566C2semidirect
3. C61×#3565C2semidirect
4. C61×#3564C2semidirect
5. C61×#3560C2semidirect
6. C61×#3559C2semidirect
7. C61×#3551C2semidirect
8. C61×#3546C2semidirect
9. C61×#3542C2semidirect
10. C61×#3542C2semidirect
11. C61×#3539C2semidirect
12. C61×#3537C2semidirect
13. C61×#3536C2semidirect
14. C61×#3533C2semidirect
15. C61×#3524C2semidirect
16. C61×#3515C2semidirect
17. C61×#3513C2semidirect
18. C61×#3513C2semidirect
19. C61×#3512C2semidirect
20. C61×#3506C2semidirect
21. C61×#3506C2semidirect
22. C61×#3505C2semidirect
23. C61×#3495C2semidirect
24. C61×#3494C2semidirect
25. C61×#3492C2semidirect
26. C61×#3481C2semidirect
27. C2×C61×#553C2semidirect
28. C61×#3460C2semidirect
29. C61×#3459C2semidirect
30. C61×#563C22semidirect
31. C61×#563C22semidirect
32. C61×#563C22semidirect
33. C61×#562C22semidirect
34. C61×#562C22semidirect
35. C61×#562C22semidirect
36. C61×#562C22semidirect
37. C61×#560C22semidirect
38. C61×#560C22semidirect
39. C61×#560C22semidirect
40. C61×#560C22semidirect
41. C61×#560C22semidirect
42. C61×#559C22semidirect
43. C61×#559C22semidirect
44. C61×#559C22semidirect
45. C61×#559C22semidirect
46. C61×#557C22semidirect
47. C61×#556C22semidirect
48. C61×#556C22semidirect
49. C61×#556C22semidirect
50. C61×#555C22semidirect
51. C61×#555C22semidirect
52. C61×#555C22semidirect
53. C61×#555C22semidirect
54. C61×#554C22semidirect
55. C61×#554C22semidirect
56. C61×#554C22semidirect
57. C61×#554C22semidirect
58. C61×#554C22semidirect
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×#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
81. C61×#553C22semidirect
82. C61×#552C22semidirect
83. C61×#552C22semidirect
84. C61×#552C22semidirect
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×#551C22semidirect
96. C61×#551C22semidirect
97. C61×#551C22semidirect
98. C61×#551C22semidirect
99. C61×#551C22semidirect
100. C61×#551C22semidirect
101. C61×#551C22semidirect
102. C61×#551C22semidirect
103. C61×#551C22semidirect
104. C61×#550C22semidirect
105. C61×#550C22semidirect
106. C61×#550C22semidirect
107. C61×#548C22semidirect
108. C61×#548C22semidirect
109. C61×#547C22semidirect
110. C61×#547C22semidirect
111. C61×#547C22semidirect
112. C61×#547C22semidirect
113. C61×#547C22semidirect
114. C61×#547C22semidirect
115. C61×#547C22semidirect
116. C61×#547C22semidirect
117. C61×#546C22semidirect
118. C61×#546C22semidirect
119. C61×#546C22semidirect
120. C61×#546C22semidirect
121. C61×#546C22semidirect
122. C61×#546C22semidirect
123. C61×#546C22semidirect
124. C61×#546C22semidirect
125. C61×#546C22semidirect
126. C61×#546C22semidirect
129. D42×C61C22semidirect
130. C61×#544C22semidirect
131. C61×#544C22semidirect
132. C61×#544C22semidirect
133. C61×#544C22semidirect
134. C61×#543C22semidirect
135. C61×#542C22semidirect
136. C61×#542C22semidirect
137. C61×#542C22semidirect
138. C61×#542C22semidirect
139. C61×#542C22semidirect
140. C61×#542C22semidirect
141. C61×#542C22semidirect
142. C61×#542C22semidirect
143. C61×#542C22semidirect
144. C61×#542C22semidirect
145. C61×#541C22semidirect
146. C61×#541C22semidirect
147. C61×#541C22semidirect
148. C61×#541C22semidirect
149. C61×#540C22semidirect
150. C61×#540C22semidirect
151. C61×#540C22semidirect
152. C61×#540C22semidirect
153. C61×#540C22semidirect
154. C61×#540C22semidirect
155. C61×#540C22semidirect
156. C61×#540C22semidirect
157. C61×#540C22semidirect
158. C61×#540C22semidirect
159. C61×#539C22semidirect
160. C61×#539C22semidirect
161. C61×#539C22semidirect
162. C61×#539C22semidirect
163. C61×#539C22semidirect
164. C61×#539C22semidirect
165. C61×#539C22semidirect
166. C61×#539C22semidirect
167. C61×#539C22semidirect
168. C61×#539C22semidirect
169. C61×#539C22semidirect
171. C61×#538C22semidirect
172. C61×#538C22semidirect
173. C61×#538C22semidirect
174. C61×#538C22semidirect
175. C61×#538C22semidirect
176. C61×#538C22semidirect
177. C61×#538C22semidirect
178. C61×#538C22semidirect
179. C61×#538C22semidirect
180. C61×#538C22semidirect
181. C61×#538C22semidirect
182. C61×#538C22semidirect
183. C61×#538C22semidirect
184. C61×#538C22semidirect
185. C61×#537C22semidirect
186. C61×#537C22semidirect
187. C61×#537C22semidirect
188. C61×#537C22semidirect
189. C61×#537C22semidirect
190. C61×#537C22semidirect
191. C61×#536C22semidirect
192. C61×#535C22semidirect
193. C61×#535C22semidirect
194. C61×#535C22semidirect
195. C61×#535C22semidirect
196. C61×#535C22semidirect
197. C61×#535C22semidirect
199. C61×#534C22semidirect
200. C61×#534C22semidirect
201. C61×#534C22semidirect
202. C61×#533C22semidirect
203. C61×#533C22semidirect
204. C61×#532C22semidirect
205. C61×#532C22semidirect
206. C61×#532C22semidirect
207. C61×#532C22semidirect
208. C61×#529C22semidirect
209. C61×#529C22semidirect
210. C61×#529C22semidirect
211. C61×#529C22semidirect
212. C61×#529C22semidirect
213. C61×#529C22semidirect
214. C61×#529C22semidirect
215. C61×#529C22semidirect
216. C61×#529C22semidirect
217. C61×#529C22semidirect
218. C61×#529C22semidirect
219. C61×#529C22semidirect
220. C61×#529C22semidirect
221. C2×#126×C61C22semidirect
222. C2×#125×C61C22semidirect
223. C2×#125×C61C22semidirect
225. C61×#525C22semidirect
226. C61×#525C22semidirect
227. C61×#525C22semidirect
228. C61×#525C22semidirect
229. C61×#525C22semidirect
230. C61×#525C22semidirect
231. C61×#525C22semidirect
232. C61×#525C22semidirect
233. C61×#525C22semidirect
234. C61×#525C22semidirect
235. C2×#123×C61C22semidirect
236. C2×#123×C61C22semidirect
237. C2×C22⋊Q8×C61C22semidirect
240. C2×#121×C61C22semidirect
241. C2×#121×C61C22semidirect
242. C61×#520C22semidirect
243. C61×#520C22semidirect
244. C61×#520C22semidirect
245. C61×#520C22semidirect
246. C61×#520C22semidirect
247. C61×#519C22semidirect
248. C61×#518C22semidirect
249. C61×#518C22semidirect
250. C4×#41×C61C22semidirect
251. C4×#41×C61C22semidirect
252. C2×C4×D4×C61C22semidirect
253. C2×C4×D4×C61C22semidirect
254. C2×C4×D4×C61C22semidirect
255. C2×C4×D4×C61C22semidirect
256. C2×C4×D4×C61C22semidirect
257. C2×#117×C61C22semidirect
258. C22×C4⋊C4×C61C22semidirect
1095. #62935C61direct (N × H)
1147. #3566C2×C61semidirect
1148. #3566C2×C61semidirect
1149. #3565C2×C61semidirect
1150. #3564C2×C61semidirect
1151. #3560C2×C61semidirect
1152. #3559C2×C61semidirect
1153. #3551C2×C61semidirect
1154. #3546C2×C61semidirect
1155. #3542C2×C61semidirect
1156. #3542C2×C61semidirect
1157. #3539C2×C61semidirect
1158. #3537C2×C61semidirect
1159. #3536C2×C61semidirect
1160. #3533C2×C61semidirect
1161. #3524C2×C61semidirect
1162. #3515C2×C61semidirect
1163. #3513C2×C61semidirect
1164. #3513C2×C61semidirect
1165. #3512C2×C61semidirect
1166. #3506C2×C61semidirect
1167. #3506C2×C61semidirect
1168. #3505C2×C61semidirect
1169. #3495C2×C61semidirect
1170. #3494C2×C61semidirect
1171. #3492C2×C61semidirect
1172. #3481C2×C61semidirect
1173. C2×#553C2×C61semidirect
1174. #3460C2×C61semidirect
1175. #3459C2×C61semidirect
1187. #563C22×C61semidirect
1188. #563C22×C61semidirect
1189. #563C22×C61semidirect
1190. #562C22×C61semidirect
1191. #562C22×C61semidirect
1192. #562C22×C61semidirect
1193. #562C22×C61semidirect
1194. #560C22×C61semidirect
1195. #560C22×C61semidirect
1196. #560C22×C61semidirect
1197. #560C22×C61semidirect
1198. #560C22×C61semidirect
1199. #559C22×C61semidirect
1200. #559C22×C61semidirect
1201. #559C22×C61semidirect
1202. #559C22×C61semidirect
1203. #557C22×C61semidirect
1204. #556C22×C61semidirect
1205. #556C22×C61semidirect
1206. #556C22×C61semidirect
1207. #555C22×C61semidirect
1208. #555C22×C61semidirect
1209. #555C22×C61semidirect
1210. #555C22×C61semidirect
1211. #554C22×C61semidirect
1212. #554C22×C61semidirect
1213. #554C22×C61semidirect
1214. #554C22×C61semidirect
1215. #554C22×C61semidirect
1217. #553C22×C61semidirect
1218. #553C22×C61semidirect
1219. #553C22×C61semidirect
1220. #553C22×C61semidirect
1221. #553C22×C61semidirect
1222. #553C22×C61semidirect
1223. #553C22×C61semidirect
1224. #553C22×C61semidirect
1225. #553C22×C61semidirect
1226. #553C22×C61semidirect
1227. #553C22×C61semidirect
1228. #553C22×C61semidirect
1229. #553C22×C61semidirect
1230. #553C22×C61semidirect
1231. #553C22×C61semidirect
1232. #553C22×C61semidirect
1233. #553C22×C61semidirect
1234. #553C22×C61semidirect
1235. #553C22×C61semidirect
1236. #553C22×C61semidirect
1237. #553C22×C61semidirect
1238. #553C22×C61semidirect
1239. #552C22×C61semidirect
1240. #552C22×C61semidirect
1241. #552C22×C61semidirect
1242. #552C22×C61semidirect
1243. #552C22×C61semidirect
1244. #552C22×C61semidirect
1245. #552C22×C61semidirect
1246. #552C22×C61semidirect
1247. #552C22×C61semidirect
1248. #552C22×C61semidirect
1249. #552C22×C61semidirect
1250. #552C22×C61semidirect
1251. #552C22×C61semidirect
1252. #551C22×C61semidirect
1253. #551C22×C61semidirect
1254. #551C22×C61semidirect
1255. #551C22×C61semidirect
1256. #551C22×C61semidirect
1257. #551C22×C61semidirect
1258. #551C22×C61semidirect
1259. #551C22×C61semidirect
1260. #551C22×C61semidirect
1261. #550C22×C61semidirect
1262. #550C22×C61semidirect
1263. #550C22×C61semidirect
1264. #548C22×C61semidirect
1265. #548C22×C61semidirect
1266. #547C22×C61semidirect
1267. #547C22×C61semidirect
1268. #547C22×C61semidirect
1269. #547C22×C61semidirect
1270. #547C22×C61semidirect
1271. #547C22×C61semidirect
1272. #547C22×C61semidirect
1273. #547C22×C61semidirect
1274. #546C22×C61semidirect
1275. #546C22×C61semidirect
1276. #546C22×C61semidirect
1277. #546C22×C61semidirect
1278. #546C22×C61semidirect
1279. #546C22×C61semidirect
1280. #546C22×C61semidirect
1281. #546C22×C61semidirect
1282. #546C22×C61semidirect
1283. #546C22×C61semidirect
1286. D42C22×C61semidirect
1287. #544C22×C61semidirect
1288. #544C22×C61semidirect
1289. #544C22×C61semidirect
1290. #544C22×C61semidirect
1291. #543C22×C61semidirect
1292. #542C22×C61semidirect
1293. #542C22×C61semidirect
1294. #542C22×C61semidirect
1295. #542C22×C61semidirect
1296. #542C22×C61semidirect
1297. #542C22×C61semidirect
1298. #542C22×C61semidirect
1299. #542C22×C61semidirect
1300. #542C22×C61semidirect
1301. #542C22×C61semidirect
1302. #541C22×C61semidirect
1303. #541C22×C61semidirect
1304. #541C22×C61semidirect
1305. #541C22×C61semidirect
1306. #540C22×C61semidirect
1307. #540C22×C61semidirect
1308. #540C22×C61semidirect
1309. #540C22×C61semidirect
1310. #540C22×C61semidirect
1311. #540C22×C61semidirect
1312. #540C22×C61semidirect
1313. #540C22×C61semidirect
1314. #540C22×C61semidirect
1315. #540C22×C61semidirect
1316. #539C22×C61semidirect
1317. #539C22×C61semidirect
1318. #539C22×C61semidirect
1319. #539C22×C61semidirect
1320. #539C22×C61semidirect
1321. #539C22×C61semidirect
1322. #539C22×C61semidirect
1323. #539C22×C61semidirect
1324. #539C22×C61semidirect
1325. #539C22×C61semidirect
1326. #539C22×C61semidirect
1328. #538C22×C61semidirect
1329. #538C22×C61semidirect
1330. #538C22×C61semidirect
1331. #538C22×C61semidirect
1332. #538C22×C61semidirect
1333. #538C22×C61semidirect
1334. #538C22×C61semidirect
1335. #538C22×C61semidirect
1336. #538C22×C61semidirect
1337. #538C22×C61semidirect
1338. #538C22×C61semidirect
1339. #538C22×C61semidirect
1340. #538C22×C61semidirect
1341. #538C22×C61semidirect
1342. #537C22×C61semidirect
1343. #537C22×C61semidirect
1344. #537C22×C61semidirect
1345. #537C22×C61semidirect
1346. #537C22×C61semidirect
1347. #537C22×C61semidirect
1348. #536C22×C61semidirect
1349. #535C22×C61semidirect
1350. #535C22×C61semidirect
1351. #535C22×C61semidirect
1352. #535C22×C61semidirect
1353. #535C22×C61semidirect
1354. #535C22×C61semidirect
1356. #534C22×C61semidirect
1357. #534C22×C61semidirect
1358. #534C22×C61semidirect
1359. #533C22×C61semidirect
1360. #533C22×C61semidirect
1361. #532C22×C61semidirect
1362. #532C22×C61semidirect
1363. #532C22×C61semidirect
1364. #532C22×C61semidirect
1365. #529C22×C61semidirect
1366. #529C22×C61semidirect
1367. #529C22×C61semidirect
1368. #529C22×C61semidirect
1369. #529C22×C61semidirect
1370. #529C22×C61semidirect
1371. #529C22×C61semidirect
1372. #529C22×C61semidirect
1373. #529C22×C61semidirect
1374. #529C22×C61semidirect
1375. #529C22×C61semidirect
1376. #529C22×C61semidirect
1377. #529C22×C61semidirect
1378. C2×#126C22×C61semidirect
1379. C2×#125C22×C61semidirect
1380. C2×#125C22×C61semidirect
1382. #525C22×C61semidirect
1383. #525C22×C61semidirect
1384. #525C22×C61semidirect
1385. #525C22×C61semidirect
1386. #525C22×C61semidirect
1387. #525C22×C61semidirect
1388. #525C22×C61semidirect
1389. #525C22×C61semidirect
1390. #525C22×C61semidirect
1391. #525C22×C61semidirect
1392. C2×#123C22×C61semidirect
1393. C2×#123C22×C61semidirect
1394. C2×C22⋊Q8C22×C61semidirect
1397. C2×#121C22×C61semidirect
1398. C2×#121C22×C61semidirect
1399. #520C22×C61semidirect
1400. #520C22×C61semidirect
1401. #520C22×C61semidirect
1402. #520C22×C61semidirect
1403. #520C22×C61semidirect
1404. #519C22×C61semidirect
1405. #518C22×C61semidirect
1406. #518C22×C61semidirect
1407. C4×#41C22×C61semidirect
1408. C4×#41C22×C61semidirect
1409. C2×C4×D4C22×C61semidirect
1410. C2×C4×D4C22×C61semidirect
1411. C2×C4×D4C22×C61semidirect
1412. C2×C4×D4C22×C61semidirect
1413. C2×C4×D4C22×C61semidirect
1414. C2×#117C22×C61semidirect
1415. C22×C4⋊C4C22×C61semidirect
1416. C61#62935direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#35662
C61×#35652
C61×#35642
C61×#35602
C61×#35592
C61×#35512
C61×#35462
C61×#35422
C61×#35392
C61×#35372
C61×#35362
C61×#35332
C61×#35242
C61×#35152
C61×#35132
C61×#35122
C61×#35062
C61×#35052
C61×#34952
C61×#34942
C61×#34922
C61×#34812
C2×C61×#5532
C61×#34602
C61×#34592
#6293561