Finite Group Databasebeta

← C61×#63053 #29566486

Subgroups — C61×#63053 #29566486

Order 15616.

6280 conjugacy classes of subgroups.

The subgroup lattice has 2202 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3568C212yesmaximal, complemented
2C61×#3566C214yesmaximal, complemented
3C61×#3566C214yesmaximal, complemented
4C61×#3566C214yesmaximal, complemented
5C61×#3565C214yesmaximal, complemented
6C61×#3565C212yesmaximal, complemented
7C61×#3565C214yesmaximal, complemented
8C61×#3563C211yesmaximal, characteristic, complemented
9C61×#3563C211yesmaximal, characteristic, complemented
10C61×#3563C212yesmaximal, complemented
11C61×#3555C214yesmaximal, complemented
12C61×#3555C212yesmaximal, complemented
13C61×#3553C212yesmaximal, complemented
14C61×#3550C211yesmaximal, characteristic, complemented
15C61×#3547C212yesmaximal, complemented
16C61×#3541C212yesmaximal, complemented
17C61×#3541C212yesmaximal, complemented
18C61×#3538C212yesmaximal, complemented
19C61×#3531C212yesmaximal, complemented
20C61×#3529C211yesmaximal, characteristic, complemented
21C61×#3523C212yesmaximal, complemented
22C61×#3518C211yesmaximal, characteristic, complemented
23C61×#3516C212yesmaximal, complemented
24C61×#3515C211yesmaximal, characteristic, complemented
25C61×#3512C211yesmaximal, characteristic, complemented
26C61×#3507C212yesmaximal, complemented
27C61×#3495C212yesmaximal, complemented
28C61×#3495C212yesmaximal, complemented
29C61×#3493C212yesmaximal, complemented
30C61×#564C2212yescomplemented
31C61×#564C2212yescomplemented
32C61×#563C2212yes—
33C61×#563C2212yes—
34C61×#563C2212yes—
35C61×#563C2214yes—
36C61×#563C2211yescharacteristic
37C61×#563C2212yes—
38C61×#563C2212yescomplemented
39C61×#563C2214yescomplemented
40C61×#563C2214yescomplemented
41C61×#563C2214yescomplemented
42C61×#563C2214yescomplemented
43C61×#563C2214yescomplemented
44C61×#563C2214yescomplemented
45C61×#562C2211yescharacteristic
46C61×#562C2212yes—
47C61×#562C2212yes—
48C61×#562C2214yes—
49C61×#562C2214yes—
50C61×#562C2214yes—
51C61×#562C2211yescharacteristic
52C61×#562C2214yescomplemented
53C61×#562C2214yescomplemented
54C61×H(3,𝔽4)C2211yescharacteristic
55C61×#560C2212yes—
56C61×#560C2212yes—
57C61×#560C2212yes—
58C61×#559C2212yes—
59C61×#559C2214yes—
60Q82×C61C2212yescomplemented
61Q82×C61C2211yescharacteristic, complemented
62C61×#557C2214yescomplemented
63C61×#557C2214yescomplemented
64C61×#557C2212yescomplemented
65C61×#557C2214yescomplemented
66C61×#557C2212yescomplemented
67C61×#557C2211yescharacteristic, complemented
68C61×#556C2214yes—
69C61×#556C2214yes—
70C61×#556C2212yes—
71C61×#556C2214yes—
72C61×#556C2212yes—
73C61×#556C2212yescomplemented
74C61×#556C2212yescomplemented
75C61×#556C2214yescomplemented
76C61×#556C2214yescomplemented
77C61×#556C2214yescomplemented
78C61×#556C2214yescomplemented
79C61×#556C2212yescomplemented
80C61×#556C2214yescomplemented
81C61×#556C2212yescomplemented
82C61×#556C2212yescomplemented
83C61×#556C2211yescharacteristic, complemented
84C61×#555C2214yes—
85C61×#555C2212yes—
86C61×#555C2211yescharacteristic
87C61×#555C2214yescomplemented
88C61×#555C2212yescomplemented
89C61×#554C2212yes—
90C61×#554C2211yescharacteristic
91C61×#554C2212yescomplemented
92C61×#554C2214yescomplemented
93C61×#554C2214yescomplemented
94C61×#554C2214yescomplemented
95C61×#554C2212yescomplemented
96C61×#554C2211yescharacteristic, complemented
97C61×#554C2212yescomplemented
98C61×#553C2214yes—
99C61×#553C2214yes—
100C61×#553C2214yes—
101C61×#553C2212yes—
102C61×#553C2212yes—
103C61×#553C2214yes—
104C61×#553C2214yescomplemented
105C61×#553C2214yescomplemented
106C61×#553C2214yescomplemented
107C61×#553C2212yescomplemented
108C61×#553C2212yescomplemented
109C61×#552C2214yes—
110C61×#552C2214yes—
111C61×#552C2212yes—
112C61×#552C2212yes—
113C61×#552C2212yes—
114C61×#552C2212yes—
115C61×#552C2212yescomplemented
116C61×#552C2212yescomplemented
117C61×#552C2214yescomplemented
118C61×#552C2214yescomplemented
119C61×#552C2214yescomplemented
120C61×#552C2212yescomplemented
121C61×#552C2214yescomplemented
122C61×#552C2214yescomplemented
123C61×#552C2214yescomplemented
124C61×#552C2214yescomplemented
125C61×#552C2214yescomplemented
126C61×#552C2212yescomplemented
127C61×#552C2214yescomplemented
128C61×#552C2212yescomplemented
129C61×#552C2214yescomplemented
130C61×#552C2212yescomplemented
131C61×#552C2212yescomplemented
132C61×#552C2212yescomplemented
133C61×#552C2212yescomplemented
134C61×#551C2214yes—
135C61×#551C2214yes—
136C61×#551C2214yes—
137C61×#551C2214yescomplemented
138C61×#551C2214yescomplemented
139C61×#551C2214yescomplemented
140D4×Q8×C61C2211yescharacteristic
141D4×Q8×C61C2212yes—
142D4×Q8×C61C2212yescomplemented
143D4×Q8×C61C2212yescomplemented
144D4×Q8×C61C2212yescomplemented
145C61×#548C2212yes—
146C61×#548C2212yescomplemented
147C61×#548C2212yescomplemented
148C61×#547C2211yescharacteristic
149C61×#547C2212yescomplemented
150C61×#544C2214yescomplemented
151C61×#544C2212yescomplemented
152C61×#544C2212yescomplemented
153C61×#544C2214yescomplemented
154C61×#544C2212yescomplemented
155C61×#544C2212yescomplemented
156C61×#544C2212yescomplemented
157C61×#544C2214yescomplemented
158C61×#542C2214yes—
159C61×#542C2214yes—
160C61×#542C2214yes—
161C61×#542C2214yes—
162C61×#542C2214yes—
163C61×#542C2214yes—
164C61×#542C2214yes—
165C61×#542C2214yescomplemented
166C61×#542C2214yescomplemented
167C61×#542C2214yescomplemented
168C61×#542C2214yescomplemented
169C61×#542C2214yescomplemented
170C61×#542C2214yescomplemented
171C61×#542C2212yescomplemented
172C61×#542C2212yescomplemented
173C61×#541C2214yescomplemented
174C61×#541C2214yescomplemented
175C61×#541C2214yescomplemented
176C61×#541C2212yescomplemented
177C61×#541C2214yescomplemented
178C61×#541C2214yescomplemented
179C61×#541C2214yescomplemented
180C61×#541C2214yescomplemented
181C61×#541C2214yescomplemented
182C61×#541C2214yescomplemented
183C61×#541C2212yescomplemented
184C61×#541C2212yescomplemented
185C61×#541C2214yescomplemented
186C61×#541C2214yescomplemented
187C61×#541C2212yescomplemented
188C61×#541C2212yescomplemented
189C61×#540C2214yes—
190C61×#540C2212yes—
191C61×#539C2214yes—
192C61×#539C2212yes—
193C61×#539C2212yes—
194C61×#539C2214yes—
195C61×#539C2214yes—
196C61×#539C2214yescomplemented
197C61×#539C2214yescomplemented
198C61×#539C2214yescomplemented
199C61×#539C2214yescomplemented
200C61×#539C2214yescomplemented
201C61×#538C2214yes—
202C61×#538C2214yes—
203C61×#538C2214yes—
204C61×#538C2214yescomplemented
205C61×#538C2214yescomplemented
206C61×#538C2214yescomplemented
207C61×#537C2212yes—
208C61×#537C2211yescharacteristic
209C61×#537C2211yescharacteristic, complemented
210C61×#536C2212yes—
211C61×#536C2212yes—
212C61×#536C2212yes—
213C61×#536C2212yescomplemented
214C61×#533C2212yescomplemented
215C61×#533C2211yescharacteristic, complemented
216C61×#533C2211yescharacteristic, complemented
217C61×#533C2214yescomplemented
218C61×#533C2212yescomplemented
219C61×#533C2214yescomplemented
220C61×#533C2212yescomplemented
221C61×#533C2214yescomplemented
222C61×#532C2212yes—
223C61×#532C2211yescharacteristic
224C61×#529C2212yes—
225C61×#529C2214yes—
226C61×#529C2212yes—
227C61×#529C2212yes—
228C61×#529C2211yescharacteristic
229C61×#529C2211yescharacteristic
230C61×#529C2214yes—
231C61×#529C2212yes—
232C61×#529C2214yes—
233C61×#529C2214yes—
234C61×#529C2212yes—
235C61×#529C2212yescomplemented
236C61×#529C2212yescomplemented
237C61×#529C2214yescomplemented
238C61×#529C2214yescomplemented
239C61×#529C2214yescomplemented
240C61×#529C2214yescomplemented
241C61×#529C2214yescomplemented
242C2×#125×C61C2212yescomplemented
243C2×#125×C61C2211yescharacteristic, complemented
244C61×#525C2212yes—
245C61×#525C2212yes—
246C61×#525C2212yes—
247C61×#525C2212yescomplemented
248C2×C22⋊Q8×C61C2212yescomplemented
249C2×C22⋊Q8×C61C2212yescomplemented
250C61×#520C2212yes—
251C61×#520C2211yescharacteristic
252C61×#520C2212yescomplemented
253C61×#520C2211yescharacteristic, complemented
254C61×#519C2212yescomplemented
255C61×#519C2212yescomplemented
256C4×#41×C61C2211yescharacteristic, complemented
257C2×C4×Q8×C61C2212yescomplemented
258C2×#117×C61C2212yescomplemented
259C2×#41×C61C2311yescharacteristic
260C2×#41×C61C2311yescharacteristic
261C2×#41×C61C2312yes—
262C2×#41×C61C2311yescharacteristic
263C2×#41×C61C2312yes—
264C22×Q8×C61C2312yes—
265C22×Q8×C61C2312yes—
266C22×Q8×C61C2312yes—
267C23×C4×C61C2312yes—
268C4⋊Q8×C61C2311yescharacteristic
269C4⋊Q8×C61C2312yes—
270C4⋊Q8×C61C2314yes—
271C4⋊Q8×C61C2314yes—
272C4⋊Q8×C61C2314yes—
273C4⋊Q8×C61C2311yescharacteristic
274C4⋊Q8×C61C2312yes—
275C4⋊Q8×C61C2311yescharacteristic
276C4⋊Q8×C61C2312yes—
277C4⋊Q8×C61C2314yes—
278C4⋊Q8×C61C2314yes—
279C4⋊Q8×C61C2314yes—
280C4⋊Q8×C61C2312yes—
281C4⋊Q8×C61C2312yes—
282C4⋊Q8×C61C2312yes—
283C4⋊Q8×C61C2311yescharacteristic
284C4⋊Q8×C61C2312yes—
285C4⋊Q8×C61C2311yescharacteristic
286C4⋊Q8×C61C2314yes—
287C4⋊Q8×C61C2314yes—
288C4⋊Q8×C61C2314yes—
289C4⋊Q8×C61C2314yes—
290C4⋊Q8×C61C2314yes—
291C4⋊Q8×C61C2314yes—
292C4⋊Q8×C61C2314yes—
293C4⋊Q8×C61C2314yes—
294#127×C61C2312yes—
295#127×C61C2311yescharacteristic
296#126×C61C2314yes—
297#126×C61C2314yes—
298#126×C61C2314yes—
299#126×C61C2314yes—
300#126×C61C2314yes—
301#126×C61C2314yes—
302#126×C61C2314yes—
303#126×C61C2314yes—
304#126×C61C2314yes—
305#126×C61C2314yes—
306#126×C61C2314yes—
307#126×C61C2314yes—
308#126×C61C2314yes—
309#126×C61C2314yes—
310#126×C61C2314yes—
311#126×C61C2314yes—
312#126×C61C2314yes—
313#126×C61C2314yes—
314#126×C61C2314yes—
315#126×C61C2314yes—
316#126×C61C2314yes—
317#126×C61C2314yes—
318#126×C61C2314yes—
319#126×C61C2314yes—
320#126×C61C2314yes—
321#126×C61C2314yes—
322#126×C61C2314yes—
323#126×C61C2314yes—
324#126×C61C2314yes—
325#126×C61C2312yes—
326#126×C61C2312yes—
327#126×C61C2312yes—
328#126×C61C2314yes—
329#126×C61C2312yes—
330#126×C61C2312yes—
331#126×C61C2312yes—
332#126×C61C2314yes—
333#126×C61C2314yes—
334#126×C61C2314yes—
335#126×C61C2314yes—
336#126×C61C2314yes—
337#126×C61C2314yes—
338#126×C61C2314yes—
339#126×C61C2314yes—
340#126×C61C2314yes—
341#125×C61C2311yescharacteristic
342#125×C61C2312yes—
343#125×C61C2314yes—
344#125×C61C2314yes—
345#125×C61C2314yes—
346#125×C61C2314yes—
347#125×C61C2314yes—
348#125×C61C2312yes—
349#125×C61C2314yes—
350#125×C61C2314yes—
351#125×C61C2312yes—
352#125×C61C2312yes—
353#125×C61C2314yes—
354#125×C61C2314yes—
355#125×C61C2314yes—
356#125×C61C2314yes—
357#125×C61C2314yes—
358#125×C61C2314yes—
359#125×C61C2314yes—
360#125×C61C2314yes—
361#125×C61C2314yes—
362#125×C61C2314yes—
363#125×C61C2314yes—
364#125×C61C2314yes—
365#125×C61C2314yes—
366#125×C61C2314yes—
367#125×C61C2314yes—
368#125×C61C2312yes—
369#125×C61C2314yes—
370#125×C61C2314yes—
371#125×C61C2314yes—
372#125×C61C2314yes—
373#125×C61C2314yes—
374#125×C61C2314yes—
375#125×C61C2314yes—
376#125×C61C2314yes—
377#125×C61C2314yes—
378#125×C61C2312yes—
379#125×C61C2312yes—
380#125×C61C2312yes—
381#125×C61C2312yes—
382#125×C61C2312yes—
383#125×C61C2312yes—
384#125×C61C2314yes—
385#125×C61C2312yes—
386#125×C61C2314yes—
387#125×C61C2311yescharacteristic
388#125×C61C2312yes—
389#124×C61C2312yes—
390#124×C61C2312yes—
391#124×C61C2311yescharacteristic
392#124×C61C2311yescharacteristic
393#124×C61C2314yes—
394#124×C61C2314yes—
395#124×C61C2314yes—
396#124×C61C2314yes—
397#124×C61C2314yes—
398#124×C61C2314yes—
399#124×C61C2314yes—
400#124×C61C2314yes—
401#124×C61C2314yes—
402#124×C61C2314yes—
403#124×C61C2314yes—
404#124×C61C2314yes—
405#124×C61C2314yes—
406#124×C61C2314yes—
407#124×C61C2312yes—
408#124×C61C2312yes—
409#124×C61C2314yes—
410#124×C61C2314yes—
411#124×C61C2314yes—
412#124×C61C2312yes—
413#124×C61C2314yes—
414#124×C61C2311yescharacteristic
415#124×C61C2311yescharacteristic
416#123×C61C2314yes—
417#123×C61C2314yes—
418#123×C61C2314yes—
419#123×C61C2314yes—
420#123×C61C2314yes—
421#123×C61C2314yes—
422#123×C61C2314yes—
423#123×C61C2314yes—
424#123×C61C2314yes—
425#123×C61C2314yes—
426#123×C61C2314yes—
427#123×C61C2314yes—
428#123×C61C2314yes—
429#123×C61C2314yes—
430#123×C61C2314yes—
431#123×C61C2314yes—
432#123×C61C2314yes—
433#123×C61C2314yes—
434#123×C61C2312yes—
435#123×C61C2314yes—
436#123×C61C2314yes—
437#123×C61C2314yes—
438#123×C61C2314yes—
439#123×C61C2314yes—
440#123×C61C2312yes—
441#123×C61C2312yes—
442#123×C61C2312yes—
443#123×C61C2314yes—
444#123×C61C2314yes—
445#123×C61C2314yes—
446#123×C61C2314yes—
447#123×C61C2314yes—
448#123×C61C2312yes—
449#123×C61C2312yes—
450#123×C61C2312yes—
451#123×C61C2312yes—
452#123×C61C2312yes—
453#123×C61C2312yes—
454#123×C61C2312yes—
455#123×C61C2312yes—
456#123×C61C2314yes—
457#123×C61C2314yes—
458C22⋊Q8×C61C2312yes—
459C22⋊Q8×C61C2312yes—
460C22⋊Q8×C61C2312yes—
461C22⋊Q8×C61C2314yes—
462C22⋊Q8×C61C2312yes—
463C22⋊Q8×C61C2312yes—
464C22⋊Q8×C61C2312yes—
465C22⋊Q8×C61C2312yes—
466C22⋊Q8×C61C2312yes—
467C22⋊Q8×C61C2312yes—
468C22⋊Q8×C61C2314yes—
469C22⋊Q8×C61C2314yes—
470C22⋊Q8×C61C2314yes—
471C22⋊Q8×C61C2314yes—
472C22⋊Q8×C61C2314yes—
473C22⋊Q8×C61C2314yes—
474C22⋊Q8×C61C2314yes—
475C22⋊Q8×C61C2314yes—
476C22⋊Q8×C61C2314yes—
477C22⋊Q8×C61C2314yes—
478C22⋊Q8×C61C2314yes—
479C22⋊Q8×C61C2314yes—
480C22⋊Q8×C61C2312yes—
481C22⋊Q8×C61C2312yes—
482C22⋊Q8×C61C2312yes—
483C22⋊Q8×C61C2312yes—
484C22⋊Q8×C61C2312yes—
485C22⋊Q8×C61C2312yes—
486C22⋊Q8×C61C2312yes—
487C22⋊Q8×C61C2312yes—
488C22⋊Q8×C61C2312yes—
489C22⋊Q8×C61C2312yes—
490C22⋊Q8×C61C2312yes—
491C22⋊Q8×C61C2312yes—
492C22⋊Q8×C61C2314yes—
493C22⋊Q8×C61C2312yes—
494C22⋊Q8×C61C2314yes—
495C22⋊Q8×C61C2314yes—
496C22⋊Q8×C61C2314yes—
497C22⋊Q8×C61C2314yes—
498C22⋊Q8×C61C2314yes—
499C22⋊Q8×C61C2314yes—
500C22⋊Q8×C61C2314yes—
501C22⋊Q8×C61C2314yes—
502C22⋊Q8×C61C2314yes—
503C22⋊Q8×C61C2314yes—
504C22⋊Q8×C61C2314yes—
505C22⋊Q8×C61C2314yes—
506C22⋊Q8×C61C2314yes—
507C22⋊Q8×C61C2314yes—
508C22⋊Q8×C61C2314yes—
509C22⋊Q8×C61C2314yes—
510C22⋊Q8×C61C2314yes—
511C22⋊Q8×C61C2314yes—
512C22⋊Q8×C61C2312yes—
513C22⋊Q8×C61C2312yes—
514C22⋊Q8×C61C2312yes—
515C22⋊Q8×C61C2314yes—
516C22⋊Q8×C61C2314yes—
517C22⋊Q8×C61C2314yes—
518C22⋊Q8×C61C2312yes—
519C22⋊Q8×C61C2312yes—
520C22⋊Q8×C61C2314yes—
521C22⋊Q8×C61C2314yes—
522C22⋊Q8×C61C2314yes—
523C22⋊Q8×C61C2311yescharacteristic
524C22⋊Q8×C61C2312yes—
525C22⋊Q8×C61C2311yescharacteristic
526C22⋊Q8×C61C2312yes—
527#121×C61C2312yes—
528#121×C61C2312yes—
529#121×C61C2312yes—
530#121×C61C2312yes—
531#121×C61C2312yes—
532#121×C61C2312yes—
533#121×C61C2312yes—
534#121×C61C2312yes—
535#121×C61C2314yes—
536#121×C61C2314yes—
537#121×C61C2314yes—
538#121×C61C2314yes—
539#121×C61C2312yes—
540#121×C61C2312yes—
541#121×C61C2314yes—
542#121×C61C2312yes—
543#121×C61C2314yes—
544#121×C61C2314yes—
545#121×C61C2312yes—
546#121×C61C2312yes—
547#121×C61C2314yes—
548#121×C61C2314yes—
549#121×C61C2314yes—
550#121×C61C2314yes—
551#121×C61C2314yes—
552#121×C61C2314yes—
553#121×C61C2311yescharacteristic
554#121×C61C2312yes—
555#121×C61C2311yescharacteristic
556#121×C61C2312yes—
557#121×C61C2312yes—
558#121×C61C2312yes—
559#121×C61C2312yes—
560#121×C61C2312yes—
561#121×C61C2312yes—
562#121×C61C2312yes—
563#120×C61C2314yes—
564#120×C61C2312yes—
565#120×C61C2312yes—
566#120×C61C2312yes—
567#120×C61C2312yes—
568#120×C61C2312yes—
569#120×C61C2312yes—
570C4×Q8×C61C2312yes—
571C4×Q8×C61C2314yes—
572C4×Q8×C61C2314yes—
573C4×Q8×C61C2314yes—
574C4×Q8×C61C2312yes—
575C4×Q8×C61C2314yes—
576C4×Q8×C61C2312yes—
577C4×Q8×C61C2314yes—
578C4×Q8×C61C2312yes—
579C4×Q8×C61C2314yes—
580C4×Q8×C61C2314yes—
581C4×Q8×C61C2314yes—
582C4×Q8×C61C2312yes—
583C4×Q8×C61C2312yes—
584C4×Q8×C61C2312yes—
585C4×Q8×C61C2314yes—
586C4×Q8×C61C2314yes—
587C4×Q8×C61C2314yes—
588C4×Q8×C61C2312yes—
589C4×Q8×C61C2312yes—
590C4×Q8×C61C2311yescharacteristic
591C4×Q8×C61C2314yes—
592C4×Q8×C61C2312yes—
593C4×Q8×C61C2314yes—
594C4×Q8×C61C2314yes—
595C4×Q8×C61C2314yes—
596C4×Q8×C61C2312yes—
597C4×Q8×C61C2314yes—
598C4×Q8×C61C2314yes—
599C4×Q8×C61C2312yes—
600C4×Q8×C61C2314yes—
601C4×Q8×C61C2312yes—
602C4×Q8×C61C2312yes—
603C4×Q8×C61C2311yescharacteristic
604C4×Q8×C61C2312yes—
605C4×Q8×C61C2311yescharacteristic
606C4×Q8×C61C2311yescharacteristic
607C4×D4×C61C2312yes—
608C4×D4×C61C2312yes—
609C4×D4×C61C2312yes—
610C4×D4×C61C2312yes—
611C4×D4×C61C2312yes—
612C4×D4×C61C2312yes—
613C4×D4×C61C2314yes—
614C4×D4×C61C2314yes—
615C4×D4×C61C2314yes—
616C4×D4×C61C2314yes—
617C4×D4×C61C2314yes—
618C4×D4×C61C2314yes—
619C4×D4×C61C2314yes—
620C4×D4×C61C2314yes—
621C4×D4×C61C2314yes—
622C4×D4×C61C2314yes—
623C4×D4×C61C2314yes—
624C4×D4×C61C2314yes—
625C4×D4×C61C2312yes—
626C4×D4×C61C2314yes—
627C4×D4×C61C2314yes—
628C4×D4×C61C2314yes—
629C4×D4×C61C2314yes—
630C4×D4×C61C2312yes—
631C4×D4×C61C2312yes—
632C4×D4×C61C2314yes—
633C4×D4×C61C2314yes—
634C4×D4×C61C2314yes—
635C4×D4×C61C2314yes—
636C4×D4×C61C2314yes—
637C4×D4×C61C2312yes—
638C4×D4×C61C2314yes—
639C4×D4×C61C2311yescharacteristic
640C4×D4×C61C2312yes—
641C4×D4×C61C2312yes—
642C4×D4×C61C2311yescharacteristic
643C4×D4×C61C2312yes—
644C4×D4×C61C2311yescharacteristic
645C4×D4×C61C2312yes—
646C4×D4×C61C2312yes—
647C4×D4×C61C2314yes—
648C4×D4×C61C2314yes—
649C4×D4×C61C2311yescharacteristic
650#117×C61C2312yes—
651#117×C61C2312yes—
652#117×C61C2314yes—
653#117×C61C2314yes—
654#117×C61C2314yes—
655#117×C61C2312yes—
656#117×C61C2312yes—
657#117×C61C2314yes—
658#117×C61C2314yes—
659#117×C61C2314yes—
660#117×C61C2312yes—
661#117×C61C2312yes—
662#117×C61C2314yes—
663#117×C61C2312yes—
664#117×C61C2312yes—
665#117×C61C2312yes—
666#117×C61C2314yes—
667#117×C61C2312yes—
668#117×C61C2314yes—
669#117×C61C2314yes—
670#117×C61C2312yes—
671#117×C61C2312yes—
672#117×C61C2314yes—
673#117×C61C2314yes—
674#117×C61C2314yes—
675#117×C61C2314yes—
676#117×C61C2314yes—
677#117×C61C2314yes—
678#117×C61C2314yes—
679#117×C61C2314yes—
680#117×C61C2314yes—
681#117×C61C2314yes—
682#117×C61C2314yes—
683#117×C61C2314yes—
684#117×C61C2312yes—
685#117×C61C2312yes—
686#117×C61C2311yescharacteristic
687#117×C61C2312yes—
688C2×C4⋊C4×C61C2312yes—
689C2×C4⋊C4×C61C2311yescharacteristic
690C2×C4⋊C4×C61C2311yescharacteristic
691C2×C4⋊C4×C61C2314yes—
692C2×C4⋊C4×C61C2314yes—
693C2×C4⋊C4×C61C2314yes—
694C2×C4⋊C4×C61C2312yes—
695C2×C4⋊C4×C61C2312yes—
696C2×C4⋊C4×C61C2312yes—
697C2×C4⋊C4×C61C2314yes—
698C2×C4⋊C4×C61C2312yes—
699C2×C4⋊C4×C61C2314yes—
700C2×C4⋊C4×C61C2312yes—
701C2×C4⋊C4×C61C2312yes—
702C2×C4⋊C4×C61C2312yes—
703C2×C4⋊C4×C61C2312yes—
704C2×C22⋊C4×C61C2314yes—
705C2×C22⋊C4×C61C2314yes—
706C2×C22⋊C4×C61C2314yes—
707C2×C42×C61C2312yes—
708C2×C42×C61C2311yescharacteristic
709C2×C42×C61C2314yes—
710C2×C42×C61C2314yes—
711C2×C42×C61C2312yes—
712C24×C61C2412yes—
713#41×C61—42no—
714#41×C61—44no—
715#41×C61—42no—
716#41×C61—44no—
717#41×C61—42no—
718C2×Q8×C61—44no—
719C2×Q8×C61—44no—
720C2×Q8×C61—44no—
721C2×Q8×C61C2412yes—
722C2×Q8×C61C2412yes—
723C2×Q8×C61C2411yescharacteristic
724C2×Q8×C61C2414yes—
725C2×Q8×C61C2412yes—
726C2×Q8×C61C2411yescharacteristic
727C2×Q8×C61C2414yes—
728C2×Q8×C61C2411yescharacteristic
729C2×Q8×C61C2414yes—
730C2×Q8×C61C2412yes—
731C2×Q8×C61C2414yes—
732C2×Q8×C61C2414yes—
733C2×Q8×C61C2412yes—
734C2×Q8×C61C2411yescharacteristic
735C2×Q8×C61C2414yes—
736C2×Q8×C61C2411yescharacteristic
737C2×D4×C61C2411yescharacteristic
738C2×D4×C61C2411yescharacteristic
739C2×D4×C61C2411yescharacteristic
740C2×D4×C61C2412yes—
741C2×D4×C61C2412yes—
742C2×D4×C61C2414yes—
743C2×D4×C61C2414yes—
744C2×D4×C61C2412yes—
745C2×D4×C61C2412yes—
746C2×D4×C61C2412yes—
747C2×D4×C61C2412yes—
748C2×D4×C61C2412yes—
749C2×D4×C61C2412yes—
750C2×D4×C61C2414yes—
751C2×D4×C61C2411yescharacteristic
752C2×D4×C61C2412yes—
753C2×D4×C61C2412yes—
754C2×D4×C61C2414yes—
755C2×D4×C61C2412yes—
756C2×D4×C61C2412yes—
757C2×D4×C61C2412yes—
758C2×D4×C61C2411yescharacteristic
759C2×D4×C61C2412yes—
760C22×C4×C61—44no—
761C22×C4×C61C2411yescharacteristic
762C22×C4×C61C2412yes—
763C22×C4×C61C2412yes—
764C22×C4×C61C2412yes—
765C22×C4×C61C2412yes—
766C22×C4×C61C2412yes—
767C22×C4×C61C2412yes—
768C22×C4×C61C2414yes—
769C22×C4×C61C2414yes—
770C22×C4×C61C2414yes—
771C22×C4×C61C2412yes—
772C22×C4×C61C2412yes—
773C22×C4×C61C2411yescharacteristic
774C22×C4×C61C2411yescharacteristic
775C22×C4×C61C2412yes—
776C22×C4×C61C2412yes—
777C22×C4×C61C2414yes—
778C22×C4×C61C2414yes—
779C22×C4×C61C2414yes—
780C22×C4×C61C2414yes—
781C22×C4×C61C2414yes—
782C22×C4×C61C2414yes—
783C22×C4×C61C2412yes—
784C22×C4×C61C2412yes—
785C22×C4×C61C2414yes—
786C22×C4×C61C2412yes—
787C22×C4×C61C2412yes—
788C4⋊C4×C61C2411yescharacteristic
789C4⋊C4×C61C2412yes—
790C4⋊C4×C61C2412yes—
791C4⋊C4×C61C2412yes—
792C4⋊C4×C61C2411yescharacteristic
793C4⋊C4×C61C2414yes—
794C4⋊C4×C61C2414yes—
795C4⋊C4×C61C2412yes—
796C4⋊C4×C61C2412yes—
797C4⋊C4×C61C2411yescharacteristic
798C4⋊C4×C61C2411yescharacteristic
799C4⋊C4×C61C2414yes—
800C4⋊C4×C61C2414yes—
801C4⋊C4×C61C2412yes—
802C4⋊C4×C61C2414yes—
803C4⋊C4×C61C2414yes—
804C4⋊C4×C61C2414yes—
805C4⋊C4×C61C2414yes—
806C4⋊C4×C61C2414yes—
807C4⋊C4×C61C2412yes—
808C4⋊C4×C61C2414yes—
809C4⋊C4×C61C2414yes—
810C4⋊C4×C61C2414yes—
811C4⋊C4×C61C2414yes—
812C4⋊C4×C61C2412yes—
813C4⋊C4×C61C2414yes—
814C4⋊C4×C61C2414yes—
815C4⋊C4×C61C2414yes—
816C4⋊C4×C61C2414yes—
817C4⋊C4×C61C2414yes—
818C4⋊C4×C61C2414yes—
819C4⋊C4×C61C2414yes—
820C4⋊C4×C61C2412yes—
821C4⋊C4×C61C2412yes—
822C4⋊C4×C61C2414yes—
823C4⋊C4×C61C2414yes—
824C4⋊C4×C61C2414yes—
825C4⋊C4×C61C2414yes—
826C4⋊C4×C61C2414yes—
827C4⋊C4×C61C2412yes—
828C4⋊C4×C61C2412yes—
829C4⋊C4×C61C2414yes—
830C4⋊C4×C61C2412yes—
831C4⋊C4×C61C2412yes—
832C4⋊C4×C61C2411yescharacteristic
833C4⋊C4×C61C2414yes—
834C4⋊C4×C61C2414yes—
835C4⋊C4×C61C2414yes—
836C4⋊C4×C61C2412yes—
837C4⋊C4×C61C2414yes—
838C4⋊C4×C61C2411yescharacteristic
839C4⋊C4×C61C2414yes—
840C4⋊C4×C61C2414yes—
841C4⋊C4×C61C2414yes—
842C4⋊C4×C61C2412yes—
843C4⋊C4×C61C2412yes—
844C4⋊C4×C61C2412yes—
845C4⋊C4×C61C2414yes—
846C4⋊C4×C61C2412yes—
847C4⋊C4×C61C2412yes—
848C4⋊C4×C61C2414yes—
849C4⋊C4×C61C2414yes—
850C4⋊C4×C61C2414yes—
851C4⋊C4×C61C2412yes—
852C4⋊C4×C61C2414yes—
853C4⋊C4×C61C2412yes—
854C4⋊C4×C61C2412yes—
855C4⋊C4×C61C2412yes—
856C4⋊C4×C61C2412yes—
857C4⋊C4×C61C2412yes—
858C4⋊C4×C61C2412yes—
859C4⋊C4×C61C2414yes—
860C4⋊C4×C61C2414yes—
861C4⋊C4×C61C2414yes—
862C4⋊C4×C61C2412yes—
863C4⋊C4×C61C2414yes—
864C4⋊C4×C61C2414yes—
865C4⋊C4×C61C2414yes—
866C4⋊C4×C61C2412yes—
867C4⋊C4×C61C2412yes—
868C22⋊C4×C61C2414yes—
869C22⋊C4×C61C2414yes—
870C22⋊C4×C61C2414yes—
871C22⋊C4×C61C2414yes—
872C22⋊C4×C61C2414yes—
873C22⋊C4×C61C2414yes—
874C22⋊C4×C61C2414yes—
875C22⋊C4×C61C2414yes—
876C22⋊C4×C61C2414yes—
877C22⋊C4×C61C2414yes—
878C22⋊C4×C61C2414yes—
879C22⋊C4×C61C2414yes—
880C22⋊C4×C61C2412yes—
881C22⋊C4×C61C2412yes—
882C22⋊C4×C61C2412yes—
883C22⋊C4×C61C2412yes—
884C22⋊C4×C61C2412yes—
885C22⋊C4×C61C2412yes—
886C22⋊C4×C61C2412yes—
887C22⋊C4×C61C2412yes—
888C22⋊C4×C61C2412yes—
889C22⋊C4×C61C2412yes—
890C22⋊C4×C61C2412yes—
891C22⋊C4×C61C2412yes—
892C22⋊C4×C61C2412yes—
893C22⋊C4×C61C2414yes—
894C22⋊C4×C61C2412yes—
895C22⋊C4×C61C2414yes—
896C22⋊C4×C61C2412yes—
897C22⋊C4×C61C2414yes—
898C22⋊C4×C61C2412yes—
899C22⋊C4×C61C2414yes—
900C22⋊C4×C61C2412yes—
901C22⋊C4×C61C2414yes—
902C22⋊C4×C61C2414yes—
903C22⋊C4×C61C2414yes—
904C22⋊C4×C61C2412yes—
905C22⋊C4×C61C2412yes—
906C22⋊C4×C61C2412yes—
907C22⋊C4×C61C2414yes—
908C22⋊C4×C61C2412yes—
909C22⋊C4×C61C2414yes—
910C22⋊C4×C61C2414yes—
911C22⋊C4×C61C2414yes—
912C22⋊C4×C61C2412yes—
913C22⋊C4×C61C2412yes—
914C22⋊C4×C61C2412yes—
915C22⋊C4×C61C2412yes—
916C22⋊C4×C61C2414yes—
917C22⋊C4×C61C2414yes—
918C22⋊C4×C61C2412yes—
919C22⋊C4×C61C2412yes—
920C22⋊C4×C61C2414yes—
921C22⋊C4×C61C2414yes—
922C22⋊C4×C61C2414yes—
923C42×C61C2411yescharacteristic
924C42×C61C2414yes—
925C42×C61C2412yes—
926C42×C61C2414yes—
927C42×C61C2412yes—
928C42×C61C2414yes—
929C42×C61C2414yes—
930C42×C61C2414yes—
931C42×C61C2412yes—
932C42×C61C2411yescharacteristic
933C42×C61C2411yescharacteristic
934C42×C61C2412yes—
935C42×C61C2412yes—
936C42×C61C2414yes—
937C42×C61C2414yes—
938C42×C61C2411yescharacteristic
939C42×C61C2412yes—
940C42×C61C2414yes—
941C42×C61C2412yes—
942C42×C61C2414yes—
943C42×C61C2414yes—
944C42×C61C2414yes—
945C42×C61C2414yes—
946C42×C61C2414yes—
947C42×C61C2414yes—
948C42×C61C2414yes—
949C42×C61C2414yes—
950C23×C61—42no—
951C23×C61—42no—
952C23×C61—42no—
953C23×C61C2512yes—
954C23×C61C2512yes—
955C23×C61C2512yes—
956C23×C61C2512yes—
957C23×C61C2511yescharacteristic
958C23×C61C2512yes—
959Q8×C61—24no—
960Q8×C61—24no—
961Q8×C61—22no—
962Q8×C61—44no—
963Q8×C61—44no—
964Q8×C61—44no—
965Q8×C61—44no—
966Q8×C61—41no—
967Q8×C61—44no—
968Q8×C61—41no—
969Q8×C61—42no—
970Q8×C61—44no—
971Q8×C61—42no—
972Q8×C61—42no—
973Q8×C61—41no—
974Q8×C61—41no—
975D4×C61—22no—
976D4×C61—42no—
977D4×C61—42no—
978D4×C61—44no—
979D4×C61—41no—
980D4×C61—41no—
981D4×C61—44no—
982D4×C61—42no—
983D4×C61—42no—
984D4×C61—42no—
985D4×C61—42no—
986D4×C61—42no—
987D4×C61—42no—
988D4×C61—44no—
989D4×C61—42no—
990D4×C61—41no—
991D4×C61—41no—
992D4×C61—42no—
993D4×C61—42no—
994D4×C61—42no—
995D4×C61—42no—
996D4×C61—44no—
997D4×C61—42no—
998C2×C4×C61—24no—
999C2×C4×C61—24no—
1000C2×C4×C61—24no—
1001C2×C4×C61—24no—
1002C2×C4×C61—22no—
1003C2×C4×C61—42no—
1004C2×C4×C61—42no—
1005C2×C4×C61—42no—
1006C2×C4×C61—44no—
1007C2×C4×C61—42no—
1008C2×C4×C61—44no—
1009C2×C4×C61—44no—
1010C2×C4×C61—42no—
1011C2×C4×C61—42no—
1012C2×C4×C61—42no—
1013C2×C4×C61—44no—
1014C2×C4×C61—44no—
1015C2×C4×C61—42no—
1016C2×C4×C61—41no—
1017C2×C4×C61—41no—
1018C2×C4×C61—44no—
1019C2×C4×C61—42no—
1020C2×C4×C61—44no—
1021C2×C4×C61—44no—
1022C2×C4×C61—44no—
1023C2×C4×C61—44no—
1024C2×C4×C61—42no—
1025C2×C4×C61C2512yes—
1026C2×C4×C61C2512yes—
1027C2×C4×C61C2514yes—
1028C2×C4×C61C2512yes—
1029C2×C4×C61C2512yes—
1030C2×C4×C61C2511yescharacteristic
1031C2×C4×C61C2511yescharacteristic
1032C2×C4×C61C2512yes—
1033C2×C4×C61C2514yes—
1034C2×C4×C61C2512yes—
1035C2×C4×C61C2514yes—
1036C2×C4×C61C2511yescharacteristic
1037C2×C4×C61C2511yescharacteristic
1038C2×C4×C61C2514yes—
1039C2×C4×C61C2514yes—
1040C2×C4×C61C2512yes—
1041C2×C4×C61C2512yes—
1042C2×C4×C61C2512yes—
1043C2×C4×C61C2514yes—
1044C2×C4×C61C2512yes—
1045C2×C4×C61C2511yescharacteristic
1046C2×C4×C61C2512yes—
1047C2×C4×C61C2511yescharacteristic
1048#63053C6111yesmaximal, characteristic, direct product factor, Sylow
1049C22×C61—22no—
1050C22×C61—22no—
1051C22×C61—22no—
1052C22×C61—22no—
1053C22×C61—21no—
1054C22×C61—22no—
1055C22×C61—22no—
1056C22×C61—21no—
1057C22×C61—21no—
1058C22×C61—22no—
1059C22×C61—22no—
1060C22×C61—22no—
1061C22×C61—22no—
1062C22×C61—22no—
1063C22×C61—22no—
1064C22×C61—22no—
1065C22×C61—22no—
1066C22×C61—22no—
1067C22×C61—84no—
1068C22×C61C2611yescharacteristic
1069C4×C61—22no—
1070C4×C61—21no—
1071C4×C61—22no—
1072C4×C61—22no—
1073C4×C61—22no—
1074C4×C61—22no—
1075C4×C61—24no—
1076C4×C61—24no—
1077C4×C61—22no—
1078C4×C61—22no—
1079C4×C61—21no—
1080C4×C61—24no—
1081C4×C61—24no—
1082C4×C61—21no—
1083C4×C61—24no—
1084C4×C61—22no—
1085C4×C61—21no—
1086C4×C61—21no—
1087C4×C61—22no—
1088C4×C61—22no—
1089C4×C61—24no—
1090C4×C61—22no—
1091C4×C61#58512yes—
1092#3568C2×C6112yescomplemented
1093#3566C2×C6114yescomplemented
1094#3566C2×C6114yescomplemented
1095#3566C2×C6114yescomplemented
1096#3565C2×C6112yescomplemented
1097#3565C2×C6114yescomplemented
1098#3565C2×C6114yescomplemented
1099#3563C2×C6111yescharacteristic, complemented
1100#3563C2×C6111yescharacteristic, complemented
1101#3563C2×C6112yescomplemented
1102#3555C2×C6114yescomplemented
1103#3555C2×C6112yescomplemented
1104#3553C2×C6112yescomplemented
1105#3550C2×C6111yescharacteristic, complemented
1106#3547C2×C6112yescomplemented
1107#3541C2×C6112yescomplemented
1108#3541C2×C6112yescomplemented
1109#3538C2×C6112yescomplemented
1110#3531C2×C6112yescomplemented
1111#3529C2×C6111yescharacteristic, complemented
1112#3523C2×C6112yescomplemented
1113#3518C2×C6111yescharacteristic, complemented
1114#3516C2×C6112yescomplemented
1115#3515C2×C6111yescharacteristic, complemented
1116#3512C2×C6111yescharacteristic, complemented
1117#3507C2×C6112yescomplemented
1118#3495C2×C6112yescomplemented
1119#3495C2×C6112yescomplemented
1120#3493C2×C6112yescomplemented
1121C2×C61—42no—
1122C2×C61—41no—
1123C2×C61—42no—
1124C2×C61—42no—
1125C2×C61—42no—
1126C2×C61—42no—
1127C2×C61C2×#58511yescharacteristic
1128C2×C612−1+611yescharacteristic
1129C2×C612−1+611yescharacteristic
1130#564C22×C6112yescomplemented
1131#564C22×C6112yescomplemented
1132#563C22×C6112yes—
1133#563C22×C6111yescharacteristic
1134#563C22×C6112yes—
1135#563C22×C6114yes—
1136#563C22×C6112yes—
1137#563C22×C6112yes—
1138#563C22×C6114yescomplemented
1139#563C22×C6114yescomplemented
1140#563C22×C6112yescomplemented
1141#563C22×C6114yescomplemented
1142#563C22×C6114yescomplemented
1143#563C22×C6114yescomplemented
1144#563C22×C6114yescomplemented
1145#562C22×C6111yescharacteristic
1146#562C22×C6111yescharacteristic
1147#562C22×C6112yes—
1148#562C22×C6112yes—
1149#562C22×C6114yes—
1150#562C22×C6114yes—
1151#562C22×C6114yes—
1152#562C22×C6114yescomplemented
1153#562C22×C6114yescomplemented
1154H(3,𝔽4)C22×C6111yescharacteristic
1155#560C22×C6112yes—
1156#560C22×C6112yes—
1157#560C22×C6112yes—
1158#559C22×C6114yes—
1159#559C22×C6112yes—
1160Q82C22×C6111yescharacteristic, complemented
1161Q82C22×C6112yescomplemented
1162#557C22×C6114yescomplemented
1163#557C22×C6111yescharacteristic, complemented
1164#557C22×C6112yescomplemented
1165#557C22×C6114yescomplemented
1166#557C22×C6112yescomplemented
1167#557C22×C6114yescomplemented
1168#556C22×C6112yes—
1169#556C22×C6112yes—
1170#556C22×C6114yes—
1171#556C22×C6114yes—
1172#556C22×C6114yes—
1173#556C22×C6112yescomplemented
1174#556C22×C6114yescomplemented
1175#556C22×C6112yescomplemented
1176#556C22×C6112yescomplemented
1177#556C22×C6112yescomplemented
1178#556C22×C6114yescomplemented
1179#556C22×C6111yescharacteristic, complemented
1180#556C22×C6114yescomplemented
1181#556C22×C6114yescomplemented
1182#556C22×C6112yescomplemented
1183#556C22×C6114yescomplemented
1184#555C22×C6111yescharacteristic
1185#555C22×C6114yes—
1186#555C22×C6112yes—
1187#555C22×C6112yescomplemented
1188#555C22×C6114yescomplemented
1189#554C22×C6111yescharacteristic
1190#554C22×C6112yes—
1191#554C22×C6112yescomplemented
1192#554C22×C6112yescomplemented
1193#554C22×C6112yescomplemented
1194#554C22×C6111yescharacteristic, complemented
1195#554C22×C6114yescomplemented
1196#554C22×C6114yescomplemented
1197#554C22×C6114yescomplemented
1198#553C22×C6112yes—
1199#553C22×C6114yes—
1200#553C22×C6112yes—
1201#553C22×C6114yes—
1202#553C22×C6114yes—
1203#553C22×C6114yes—
1204#553C22×C6112yescomplemented
1205#553C22×C6112yescomplemented
1206#553C22×C6114yescomplemented
1207#553C22×C6114yescomplemented
1208#553C22×C6114yescomplemented
1209#552C22×C6112yes—
1210#552C22×C6112yes—
1211#552C22×C6112yes—
1212#552C22×C6112yes—
1213#552C22×C6114yes—
1214#552C22×C6114yes—
1215#552C22×C6112yescomplemented
1216#552C22×C6114yescomplemented
1217#552C22×C6112yescomplemented
1218#552C22×C6112yescomplemented
1219#552C22×C6112yescomplemented
1220#552C22×C6112yescomplemented
1221#552C22×C6114yescomplemented
1222#552C22×C6114yescomplemented
1223#552C22×C6112yescomplemented
1224#552C22×C6112yescomplemented
1225#552C22×C6112yescomplemented
1226#552C22×C6114yescomplemented
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×C6114yescomplemented
1238#551C22×C6114yescomplemented
1239#551C22×C6114yescomplemented
1240D4×Q8C22×C6111yescharacteristic
1241D4×Q8C22×C6112yes—
1242D4×Q8C22×C6112yescomplemented
1243D4×Q8C22×C6112yescomplemented
1244D4×Q8C22×C6112yescomplemented
1245#548C22×C6112yes—
1246#548C22×C6112yescomplemented
1247#548C22×C6112yescomplemented
1248#547C22×C6111yescharacteristic
1249#547C22×C6112yescomplemented
1250#544C22×C6112yescomplemented
1251#544C22×C6112yescomplemented
1252#544C22×C6112yescomplemented
1253#544C22×C6114yescomplemented
1254#544C22×C6114yescomplemented
1255#544C22×C6114yescomplemented
1256#544C22×C6112yescomplemented
1257#544C22×C6112yescomplemented
1258#542C22×C6114yes—
1259#542C22×C6114yes—
1260#542C22×C6114yes—
1261#542C22×C6114yes—
1262#542C22×C6114yes—
1263#542C22×C6114yes—
1264#542C22×C6114yes—
1265#542C22×C6112yescomplemented
1266#542C22×C6112yescomplemented
1267#542C22×C6114yescomplemented
1268#542C22×C6114yescomplemented
1269#542C22×C6114yescomplemented
1270#542C22×C6114yescomplemented
1271#542C22×C6114yescomplemented
1272#542C22×C6114yescomplemented
1273#541C22×C6114yescomplemented
1274#541C22×C6114yescomplemented
1275#541C22×C6112yescomplemented
1276#541C22×C6112yescomplemented
1277#541C22×C6112yescomplemented
1278#541C22×C6114yescomplemented
1279#541C22×C6112yescomplemented
1280#541C22×C6112yescomplemented
1281#541C22×C6114yescomplemented
1282#541C22×C6114yescomplemented
1283#541C22×C6114yescomplemented
1284#541C22×C6114yescomplemented
1285#541C22×C6114yescomplemented
1286#541C22×C6114yescomplemented
1287#541C22×C6114yescomplemented
1288#541C22×C6114yescomplemented
1289#540C22×C6112yes—
1290#540C22×C6114yes—
1291#539C22×C6114yes—
1292#539C22×C6114yes—
1293#539C22×C6114yes—
1294#539C22×C6112yes—
1295#539C22×C6112yes—
1296#539C22×C6114yescomplemented
1297#539C22×C6114yescomplemented
1298#539C22×C6114yescomplemented
1299#539C22×C6114yescomplemented
1300#539C22×C6114yescomplemented
1301#538C22×C6114yes—
1302#538C22×C6114yes—
1303#538C22×C6114yes—
1304#538C22×C6114yescomplemented
1305#538C22×C6114yescomplemented
1306#538C22×C6114yescomplemented
1307#537C22×C6112yes—
1308#537C22×C6111yescharacteristic
1309#537C22×C6111yescharacteristic, complemented
1310#536C22×C6112yes—
1311#536C22×C6112yes—
1312#536C22×C6112yes—
1313#536C22×C6112yescomplemented
1314#533C22×C6114yescomplemented
1315#533C22×C6114yescomplemented
1316#533C22×C6112yescomplemented
1317#533C22×C6111yescharacteristic, complemented
1318#533C22×C6112yescomplemented
1319#533C22×C6111yescharacteristic, complemented
1320#533C22×C6114yescomplemented
1321#533C22×C6112yescomplemented
1322#532C22×C6112yes—
1323#532C22×C6111yescharacteristic
1324#529C22×C6114yes—
1325#529C22×C6114yes—
1326#529C22×C6114yes—
1327#529C22×C6112yes—
1328#529C22×C6111yescharacteristic
1329#529C22×C6112yes—
1330#529C22×C6112yes—
1331#529C22×C6111yescharacteristic
1332#529C22×C6112yes—
1333#529C22×C6112yes—
1334#529C22×C6114yes—
1335#529C22×C6114yescomplemented
1336#529C22×C6114yescomplemented
1337#529C22×C6114yescomplemented
1338#529C22×C6112yescomplemented
1339#529C22×C6114yescomplemented
1340#529C22×C6112yescomplemented
1341#529C22×C6114yescomplemented
1342C2×#125C22×C6111yescharacteristic, complemented
1343C2×#125C22×C6112yescomplemented
1344#525C22×C6112yes—
1345#525C22×C6112yes—
1346#525C22×C6112yes—
1347#525C22×C6112yescomplemented
1348C2×C22⋊Q8C22×C6112yescomplemented
1349C2×C22⋊Q8C22×C6112yescomplemented
1350#520C22×C6112yes—
1351#520C22×C6111yescharacteristic
1352#520C22×C6112yescomplemented
1353#520C22×C6111yescharacteristic, complemented
1354#519C22×C6112yescomplemented
1355#519C22×C6112yescomplemented
1356C4×#41C22×C6111yescharacteristic, complemented
1357C2×C4×Q8C22×C6112yescomplemented
1358C2×#117C22×C6112yescomplemented
1359C61#6305311yescharacteristic, direct product factor, Sylow
1360C2×#41C23×C6111yescharacteristic
1361C2×#41C23×C6111yescharacteristic
1362C2×#41C23×C6112yes—
1363C2×#41C23×C6112yes—
1364C2×#41C23×C6111yescharacteristic
1365C22×Q8C23×C6112yes—
1366C22×Q8C23×C6112yes—
1367C22×Q8C23×C6112yes—
1368C23×C4C23×C6112yes—
1369C4⋊Q8C23×C6111yescharacteristic
1370C4⋊Q8C23×C6112yes—
1371C4⋊Q8C23×C6114yes—
1372C4⋊Q8C23×C6114yes—
1373C4⋊Q8C23×C6114yes—
1374C4⋊Q8C23×C6111yescharacteristic
1375C4⋊Q8C23×C6112yes—
1376C4⋊Q8C23×C6111yescharacteristic
1377C4⋊Q8C23×C6112yes—
1378C4⋊Q8C23×C6114yes—
1379C4⋊Q8C23×C6114yes—
1380C4⋊Q8C23×C6114yes—
1381C4⋊Q8C23×C6112yes—
1382C4⋊Q8C23×C6112yes—
1383C4⋊Q8C23×C6112yes—
1384C4⋊Q8C23×C6111yescharacteristic
1385C4⋊Q8C23×C6112yes—
1386C4⋊Q8C23×C6111yescharacteristic
1387C4⋊Q8C23×C6114yes—
1388C4⋊Q8C23×C6114yes—
1389C4⋊Q8C23×C6114yes—
1390C4⋊Q8C23×C6114yes—
1391C4⋊Q8C23×C6114yes—
1392C4⋊Q8C23×C6114yes—
1393C4⋊Q8C23×C6114yes—
1394C4⋊Q8C23×C6114yes—
1395#127C23×C6112yes—
1396#127C23×C6111yescharacteristic
1397#126C23×C6114yes—
1398#126C23×C6114yes—
1399#126C23×C6114yes—
1400#126C23×C6114yes—
1401#126C23×C6114yes—
1402#126C23×C6114yes—
1403#126C23×C6114yes—
1404#126C23×C6114yes—
1405#126C23×C6114yes—
1406#126C23×C6114yes—
1407#126C23×C6112yes—
1408#126C23×C6112yes—
1409#126C23×C6112yes—
1410#126C23×C6114yes—
1411#126C23×C6112yes—
1412#126C23×C6112yes—
1413#126C23×C6112yes—
1414#126C23×C6114yes—
1415#126C23×C6114yes—
1416#126C23×C6114yes—
1417#126C23×C6114yes—
1418#126C23×C6114yes—
1419#126C23×C6114yes—
1420#126C23×C6114yes—
1421#126C23×C6114yes—
1422#126C23×C6114yes—
1423#126C23×C6114yes—
1424#126C23×C6114yes—
1425#126C23×C6114yes—
1426#126C23×C6114yes—
1427#126C23×C6114yes—
1428#126C23×C6114yes—
1429#126C23×C6114yes—
1430#126C23×C6114yes—
1431#126C23×C6114yes—
1432#126C23×C6114yes—
1433#126C23×C6114yes—
1434#126C23×C6114yes—
1435#126C23×C6114yes—
1436#126C23×C6114yes—
1437#126C23×C6114yes—
1438#126C23×C6114yes—
1439#126C23×C6114yes—
1440#126C23×C6114yes—
1441#126C23×C6114yes—
1442#125C23×C6111yescharacteristic
1443#125C23×C6112yes—
1444#125C23×C6112yes—
1445#125C23×C6114yes—
1446#125C23×C6114yes—
1447#125C23×C6112yes—
1448#125C23×C6112yes—
1449#125C23×C6112yes—
1450#125C23×C6112yes—
1451#125C23×C6112yes—
1452#125C23×C6111yescharacteristic
1453#125C23×C6112yes—
1454#125C23×C6114yes—
1455#125C23×C6114yes—
1456#125C23×C6114yes—
1457#125C23×C6112yes—
1458#125C23×C6112yes—
1459#125C23×C6114yes—
1460#125C23×C6114yes—
1461#125C23×C6114yes—
1462#125C23×C6114yes—
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×C6114yes—
1473#125C23×C6114yes—
1474#125C23×C6112yes—
1475#125C23×C6114yes—
1476#125C23×C6114yes—
1477#125C23×C6114yes—
1478#125C23×C6114yes—
1479#125C23×C6114yes—
1480#125C23×C6114yes—
1481#125C23×C6114yes—
1482#125C23×C6114yes—
1483#125C23×C6114yes—
1484#125C23×C6114yes—
1485#125C23×C6114yes—
1486#125C23×C6114yes—
1487#125C23×C6114yes—
1488#125C23×C6114yes—
1489#125C23×C6114yes—
1490#124C23×C6111yescharacteristic
1491#124C23×C6111yescharacteristic
1492#124C23×C6111yescharacteristic
1493#124C23×C6114yes—
1494#124C23×C6114yes—
1495#124C23×C6114yes—
1496#124C23×C6114yes—
1497#124C23×C6112yes—
1498#124C23×C6112yes—
1499#124C23×C6111yescharacteristic
1500#124C23×C6114yes—
1501#124C23×C6114yes—
1502#124C23×C6114yes—
1503#124C23×C6114yes—
1504#124C23×C6112yes—
1505#124C23×C6114yes—
1506#124C23×C6112yes—
1507#124C23×C6112yes—
1508#124C23×C6114yes—
1509#124C23×C6114yes—
1510#124C23×C6114yes—
1511#124C23×C6114yes—
1512#124C23×C6114yes—
1513#124C23×C6114yes—
1514#124C23×C6114yes—
1515#124C23×C6114yes—
1516#124C23×C6114yes—
1517#123C23×C6112yes—
1518#123C23×C6112yes—
1519#123C23×C6112yes—
1520#123C23×C6112yes—
1521#123C23×C6112yes—
1522#123C23×C6112yes—
1523#123C23×C6114yes—
1524#123C23×C6112yes—
1525#123C23×C6112yes—
1526#123C23×C6114yes—
1527#123C23×C6114yes—
1528#123C23×C6114yes—
1529#123C23×C6114yes—
1530#123C23×C6114yes—
1531#123C23×C6114yes—
1532#123C23×C6112yes—
1533#123C23×C6112yes—
1534#123C23×C6114yes—
1535#123C23×C6114yes—
1536#123C23×C6114yes—
1537#123C23×C6112yes—
1538#123C23×C6112yes—
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×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—
1559C22⋊Q8C23×C6114yes—
1560C22⋊Q8C23×C6114yes—
1561C22⋊Q8C23×C6112yes—
1562C22⋊Q8C23×C6112yes—
1563C22⋊Q8C23×C6112yes—
1564C22⋊Q8C23×C6112yes—
1565C22⋊Q8C23×C6112yes—
1566C22⋊Q8C23×C6112yes—
1567C22⋊Q8C23×C6112yes—
1568C22⋊Q8C23×C6112yes—
1569C22⋊Q8C23×C6114yes—
1570C22⋊Q8C23×C6114yes—
1571C22⋊Q8C23×C6112yes—
1572C22⋊Q8C23×C6112yes—
1573C22⋊Q8C23×C6112yes—
1574C22⋊Q8C23×C6112yes—
1575C22⋊Q8C23×C6112yes—
1576C22⋊Q8C23×C6112yes—
1577C22⋊Q8C23×C6112yes—
1578C22⋊Q8C23×C6112yes—
1579C22⋊Q8C23×C6112yes—
1580C22⋊Q8C23×C6114yes—
1581C22⋊Q8C23×C6112yes—
1582C22⋊Q8C23×C6114yes—
1583C22⋊Q8C23×C6112yes—
1584C22⋊Q8C23×C6112yes—
1585C22⋊Q8C23×C6112yes—
1586C22⋊Q8C23×C6111yescharacteristic
1587C22⋊Q8C23×C6111yescharacteristic
1588C22⋊Q8C23×C6114yes—
1589C22⋊Q8C23×C6112yes—
1590C22⋊Q8C23×C6112yes—
1591C22⋊Q8C23×C6114yes—
1592C22⋊Q8C23×C6114yes—
1593C22⋊Q8C23×C6114yes—
1594C22⋊Q8C23×C6112yes—
1595C22⋊Q8C23×C6112yes—
1596C22⋊Q8C23×C6112yes—
1597C22⋊Q8C23×C6112yes—
1598C22⋊Q8C23×C6112yes—
1599C22⋊Q8C23×C6112yes—
1600C22⋊Q8C23×C6114yes—
1601C22⋊Q8C23×C6114yes—
1602C22⋊Q8C23×C6114yes—
1603C22⋊Q8C23×C6114yes—
1604C22⋊Q8C23×C6114yes—
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—
1627C22⋊Q8C23×C6114yes—
1628#121C23×C6112yes—
1629#121C23×C6112yes—
1630#121C23×C6112yes—
1631#121C23×C6112yes—
1632#121C23×C6112yes—
1633#121C23×C6112yes—
1634#121C23×C6112yes—
1635#121C23×C6112yes—
1636#121C23×C6112yes—
1637#121C23×C6112yes—
1638#121C23×C6114yes—
1639#121C23×C6112yes—
1640#121C23×C6112yes—
1641#121C23×C6111yescharacteristic
1642#121C23×C6111yescharacteristic
1643#121C23×C6112yes—
1644#121C23×C6112yes—
1645#121C23×C6112yes—
1646#121C23×C6112yes—
1647#121C23×C6114yes—
1648#121C23×C6112yes—
1649#121C23×C6114yes—
1650#121C23×C6114yes—
1651#121C23×C6112yes—
1652#121C23×C6112yes—
1653#121C23×C6112yes—
1654#121C23×C6112yes—
1655#121C23×C6114yes—
1656#121C23×C6114yes—
1657#121C23×C6114yes—
1658#121C23×C6114yes—
1659#121C23×C6114yes—
1660#121C23×C6114yes—
1661#121C23×C6114yes—
1662#121C23×C6114yes—
1663#121C23×C6114yes—
1664#120C23×C6112yes—
1665#120C23×C6112yes—
1666#120C23×C6112yes—
1667#120C23×C6112yes—
1668#120C23×C6112yes—
1669#120C23×C6112yes—
1670#120C23×C6114yes—
1671C4×Q8C23×C6112yes—
1672C4×Q8C23×C6112yes—
1673C4×Q8C23×C6112yes—
1674C4×Q8C23×C6114yes—
1675C4×Q8C23×C6114yes—
1676C4×Q8C23×C6112yes—
1677C4×Q8C23×C6111yescharacteristic
1678C4×Q8C23×C6111yescharacteristic
1679C4×Q8C23×C6114yes—
1680C4×Q8C23×C6114yes—
1681C4×Q8C23×C6114yes—
1682C4×Q8C23×C6112yes—
1683C4×Q8C23×C6112yes—
1684C4×Q8C23×C6112yes—
1685C4×Q8C23×C6114yes—
1686C4×Q8C23×C6112yes—
1687C4×Q8C23×C6112yes—
1688C4×Q8C23×C6114yes—
1689C4×Q8C23×C6112yes—
1690C4×Q8C23×C6112yes—
1691C4×Q8C23×C6111yescharacteristic
1692C4×Q8C23×C6111yescharacteristic
1693C4×Q8C23×C6112yes—
1694C4×Q8C23×C6112yes—
1695C4×Q8C23×C6114yes—
1696C4×Q8C23×C6114yes—
1697C4×Q8C23×C6114yes—
1698C4×Q8C23×C6114yes—
1699C4×Q8C23×C6114yes—
1700C4×Q8C23×C6114yes—
1701C4×Q8C23×C6112yes—
1702C4×Q8C23×C6114yes—
1703C4×Q8C23×C6112yes—
1704C4×Q8C23×C6114yes—
1705C4×Q8C23×C6114yes—
1706C4×Q8C23×C6114yes—
1707C4×Q8C23×C6114yes—
1708C4×D4C23×C6111yescharacteristic
1709C4×D4C23×C6112yes—
1710C4×D4C23×C6111yescharacteristic
1711C4×D4C23×C6112yes—
1712C4×D4C23×C6114yes—
1713C4×D4C23×C6114yes—
1714C4×D4C23×C6112yes—
1715C4×D4C23×C6114yes—
1716C4×D4C23×C6114yes—
1717C4×D4C23×C6114yes—
1718C4×D4C23×C6114yes—
1719C4×D4C23×C6112yes—
1720C4×D4C23×C6114yes—
1721C4×D4C23×C6112yes—
1722C4×D4C23×C6111yescharacteristic
1723C4×D4C23×C6112yes—
1724C4×D4C23×C6111yescharacteristic
1725C4×D4C23×C6112yes—
1726C4×D4C23×C6112yes—
1727C4×D4C23×C6112yes—
1728C4×D4C23×C6112yes—
1729C4×D4C23×C6112yes—
1730C4×D4C23×C6112yes—
1731C4×D4C23×C6112yes—
1732C4×D4C23×C6114yes—
1733C4×D4C23×C6114yes—
1734C4×D4C23×C6112yes—
1735C4×D4C23×C6114yes—
1736C4×D4C23×C6114yes—
1737C4×D4C23×C6114yes—
1738C4×D4C23×C6114yes—
1739C4×D4C23×C6114yes—
1740C4×D4C23×C6114yes—
1741C4×D4C23×C6114yes—
1742C4×D4C23×C6112yes—
1743C4×D4C23×C6114yes—
1744C4×D4C23×C6114yes—
1745C4×D4C23×C6114yes—
1746C4×D4C23×C6114yes—
1747C4×D4C23×C6114yes—
1748C4×D4C23×C6114yes—
1749C4×D4C23×C6114yes—
1750C4×D4C23×C6114yes—
1751#117C23×C6112yes—
1752#117C23×C6112yes—
1753#117C23×C6112yes—
1754#117C23×C6112yes—
1755#117C23×C6114yes—
1756#117C23×C6114yes—
1757#117C23×C6111yescharacteristic
1758#117C23×C6112yes—
1759#117C23×C6112yes—
1760#117C23×C6112yes—
1761#117C23×C6114yes—
1762#117C23×C6114yes—
1763#117C23×C6114yes—
1764#117C23×C6114yes—
1765#117C23×C6112yes—
1766#117C23×C6112yes—
1767#117C23×C6112yes—
1768#117C23×C6114yes—
1769#117C23×C6112yes—
1770#117C23×C6114yes—
1771#117C23×C6114yes—
1772#117C23×C6114yes—
1773#117C23×C6114yes—
1774#117C23×C6114yes—
1775#117C23×C6114yes—
1776#117C23×C6114yes—
1777#117C23×C6114yes—
1778#117C23×C6112yes—
1779#117C23×C6112yes—
1780#117C23×C6114yes—
1781#117C23×C6114yes—
1782#117C23×C6114yes—
1783#117C23×C6114yes—
1784#117C23×C6114yes—
1785#117C23×C6114yes—
1786#117C23×C6114yes—
1787#117C23×C6112yes—
1788#117C23×C6112yes—
1789C2×C4⋊C4C23×C6112yes—
1790C2×C4⋊C4C23×C6112yes—
1791C2×C4⋊C4C23×C6112yes—
1792C2×C4⋊C4C23×C6114yes—
1793C2×C4⋊C4C23×C6112yes—
1794C2×C4⋊C4C23×C6112yes—
1795C2×C4⋊C4C23×C6111yescharacteristic
1796C2×C4⋊C4C23×C6111yescharacteristic
1797C2×C4⋊C4C23×C6114yes—
1798C2×C4⋊C4C23×C6114yes—
1799C2×C4⋊C4C23×C6114yes—
1800C2×C4⋊C4C23×C6114yes—
1801C2×C4⋊C4C23×C6112yes—
1802C2×C4⋊C4C23×C6112yes—
1803C2×C4⋊C4C23×C6112yes—
1804C2×C4⋊C4C23×C6112yes—
1805C2×C22⋊C4C23×C6114yes—
1806C2×C22⋊C4C23×C6114yes—
1807C2×C22⋊C4C23×C6114yes—
1808C2×C42C23×C6114yes—
1809C2×C42C23×C6112yes—
1810C2×C42C23×C6114yes—
1811C2×C42C23×C6112yes—
1812C2×C42C23×C6111yescharacteristic
1813C24C24×C6112yes—
1814#41—42no—
1815#41—44no—
1816#41—42no—
1817#41—44no—
1818#41—42no—
1819C2×Q8—44no—
1820C2×Q8—44no—
1821C2×Q8—44no—
1822C2×Q8C24×C6112yes—
1823C2×Q8C24×C6112yes—
1824C2×Q8C24×C6111yescharacteristic
1825C2×Q8C24×C6114yes—
1826C2×Q8C24×C6112yes—
1827C2×Q8C24×C6111yescharacteristic
1828C2×Q8C24×C6111yescharacteristic
1829C2×Q8C24×C6114yes—
1830C2×Q8C24×C6114yes—
1831C2×Q8C24×C6112yes—
1832C2×Q8C24×C6114yes—
1833C2×Q8C24×C6114yes—
1834C2×Q8C24×C6112yes—
1835C2×Q8C24×C6111yescharacteristic
1836C2×Q8C24×C6114yes—
1837C2×Q8C24×C6111yescharacteristic
1838C2×D4C24×C6111yescharacteristic
1839C2×D4C24×C6111yescharacteristic
1840C2×D4C24×C6111yescharacteristic
1841C2×D4C24×C6112yes—
1842C2×D4C24×C6112yes—
1843C2×D4C24×C6114yes—
1844C2×D4C24×C6114yes—
1845C2×D4C24×C6112yes—
1846C2×D4C24×C6112yes—
1847C2×D4C24×C6112yes—
1848C2×D4C24×C6112yes—
1849C2×D4C24×C6112yes—
1850C2×D4C24×C6112yes—
1851C2×D4C24×C6114yes—
1852C2×D4C24×C6111yescharacteristic
1853C2×D4C24×C6112yes—
1854C2×D4C24×C6112yes—
1855C2×D4C24×C6112yes—
1856C2×D4C24×C6112yes—
1857C2×D4C24×C6114yes—
1858C2×D4C24×C6112yes—
1859C2×D4C24×C6111yescharacteristic
1860C2×D4C24×C6112yes—
1861C22×C4—44no—
1862C22×C4C24×C6111yescharacteristic
1863C22×C4C24×C6112yes—
1864C22×C4C24×C6112yes—
1865C22×C4C24×C6112yes—
1866C22×C4C24×C6112yes—
1867C22×C4C24×C6112yes—
1868C22×C4C24×C6112yes—
1869C22×C4C24×C6114yes—
1870C22×C4C24×C6114yes—
1871C22×C4C24×C6114yes—
1872C22×C4C24×C6112yes—
1873C22×C4C24×C6112yes—
1874C22×C4C24×C6111yescharacteristic
1875C22×C4C24×C6111yescharacteristic
1876C22×C4C24×C6112yes—
1877C22×C4C24×C6112yes—
1878C22×C4C24×C6114yes—
1879C22×C4C24×C6114yes—
1880C22×C4C24×C6114yes—
1881C22×C4C24×C6114yes—
1882C22×C4C24×C6114yes—
1883C22×C4C24×C6114yes—
1884C22×C4C24×C6112yes—
1885C22×C4C24×C6112yes—
1886C22×C4C24×C6114yes—
1887C22×C4C24×C6112yes—
1888C22×C4C24×C6112yes—
1889C4⋊C4C24×C6111yescharacteristic
1890C4⋊C4C24×C6112yes—
1891C4⋊C4C24×C6112yes—
1892C4⋊C4C24×C6112yes—
1893C4⋊C4C24×C6111yescharacteristic
1894C4⋊C4C24×C6114yes—
1895C4⋊C4C24×C6114yes—
1896C4⋊C4C24×C6112yes—
1897C4⋊C4C24×C6112yes—
1898C4⋊C4C24×C6111yescharacteristic
1899C4⋊C4C24×C6111yescharacteristic
1900C4⋊C4C24×C6114yes—
1901C4⋊C4C24×C6114yes—
1902C4⋊C4C24×C6112yes—
1903C4⋊C4C24×C6114yes—
1904C4⋊C4C24×C6114yes—
1905C4⋊C4C24×C6114yes—
1906C4⋊C4C24×C6114yes—
1907C4⋊C4C24×C6114yes—
1908C4⋊C4C24×C6112yes—
1909C4⋊C4C24×C6114yes—
1910C4⋊C4C24×C6114yes—
1911C4⋊C4C24×C6114yes—
1912C4⋊C4C24×C6114yes—
1913C4⋊C4C24×C6112yes—
1914C4⋊C4C24×C6114yes—
1915C4⋊C4C24×C6114yes—
1916C4⋊C4C24×C6114yes—
1917C4⋊C4C24×C6114yes—
1918C4⋊C4C24×C6114yes—
1919C4⋊C4C24×C6114yes—
1920C4⋊C4C24×C6114yes—
1921C4⋊C4C24×C6112yes—
1922C4⋊C4C24×C6112yes—
1923C4⋊C4C24×C6114yes—
1924C4⋊C4C24×C6114yes—
1925C4⋊C4C24×C6114yes—
1926C4⋊C4C24×C6114yes—
1927C4⋊C4C24×C6114yes—
1928C4⋊C4C24×C6112yes—
1929C4⋊C4C24×C6112yes—
1930C4⋊C4C24×C6114yes—
1931C4⋊C4C24×C6112yes—
1932C4⋊C4C24×C6112yes—
1933C4⋊C4C24×C6114yes—
1934C4⋊C4C24×C6111yescharacteristic
1935C4⋊C4C24×C6114yes—
1936C4⋊C4C24×C6114yes—
1937C4⋊C4C24×C6114yes—
1938C4⋊C4C24×C6112yes—
1939C4⋊C4C24×C6111yescharacteristic
1940C4⋊C4C24×C6114yes—
1941C4⋊C4C24×C6114yes—
1942C4⋊C4C24×C6114yes—
1943C4⋊C4C24×C6112yes—
1944C4⋊C4C24×C6112yes—
1945C4⋊C4C24×C6112yes—
1946C4⋊C4C24×C6114yes—
1947C4⋊C4C24×C6112yes—
1948C4⋊C4C24×C6112yes—
1949C4⋊C4C24×C6114yes—
1950C4⋊C4C24×C6114yes—
1951C4⋊C4C24×C6114yes—
1952C4⋊C4C24×C6112yes—
1953C4⋊C4C24×C6114yes—
1954C4⋊C4C24×C6112yes—
1955C4⋊C4C24×C6112yes—
1956C4⋊C4C24×C6112yes—
1957C4⋊C4C24×C6112yes—
1958C4⋊C4C24×C6112yes—
1959C4⋊C4C24×C6112yes—
1960C4⋊C4C24×C6114yes—
1961C4⋊C4C24×C6112yes—
1962C4⋊C4C24×C6114yes—
1963C4⋊C4C24×C6114yes—
1964C4⋊C4C24×C6114yes—
1965C4⋊C4C24×C6114yes—
1966C4⋊C4C24×C6114yes—
1967C4⋊C4C24×C6112yes—
1968C4⋊C4C24×C6112yes—
1969C22⋊C4C24×C6114yes—
1970C22⋊C4C24×C6114yes—
1971C22⋊C4C24×C6114yes—
1972C22⋊C4C24×C6114yes—
1973C22⋊C4C24×C6114yes—
1974C22⋊C4C24×C6114yes—
1975C22⋊C4C24×C6114yes—
1976C22⋊C4C24×C6114yes—
1977C22⋊C4C24×C6114yes—
1978C22⋊C4C24×C6114yes—
1979C22⋊C4C24×C6114yes—
1980C22⋊C4C24×C6114yes—
1981C22⋊C4C24×C6112yes—
1982C22⋊C4C24×C6112yes—
1983C22⋊C4C24×C6112yes—
1984C22⋊C4C24×C6112yes—
1985C22⋊C4C24×C6112yes—
1986C22⋊C4C24×C6112yes—
1987C22⋊C4C24×C6112yes—
1988C22⋊C4C24×C6112yes—
1989C22⋊C4C24×C6112yes—
1990C22⋊C4C24×C6112yes—
1991C22⋊C4C24×C6112yes—
1992C22⋊C4C24×C6112yes—
1993C22⋊C4C24×C6112yes—
1994C22⋊C4C24×C6114yes—
1995C22⋊C4C24×C6112yes—
1996C22⋊C4C24×C6112yes—
1997C22⋊C4C24×C6114yes—
1998C22⋊C4C24×C6114yes—
1999C22⋊C4C24×C6112yes—
2000C22⋊C4C24×C6112yes—
2001C22⋊C4C24×C6114yes—
2002C22⋊C4C24×C6114yes—
2003C22⋊C4C24×C6114yes—
2004C22⋊C4C24×C6114yes—
2005C22⋊C4C24×C6112yes—
2006C22⋊C4C24×C6112yes—
2007C22⋊C4C24×C6114yes—
2008C22⋊C4C24×C6112yes—
2009C22⋊C4C24×C6112yes—
2010C22⋊C4C24×C6114yes—
2011C22⋊C4C24×C6114yes—
2012C22⋊C4C24×C6114yes—
2013C22⋊C4C24×C6112yes—
2014C22⋊C4C24×C6112yes—
2015C22⋊C4C24×C6112yes—
2016C22⋊C4C24×C6112yes—
2017C22⋊C4C24×C6114yes—
2018C22⋊C4C24×C6114yes—
2019C22⋊C4C24×C6112yes—
2020C22⋊C4C24×C6112yes—
2021C22⋊C4C24×C6114yes—
2022C22⋊C4C24×C6114yes—
2023C22⋊C4C24×C6114yes—
2024C42C24×C6111yescharacteristic
2025C42C24×C6114yes—
2026C42C24×C6112yes—
2027C42C24×C6114yes—
2028C42C24×C6112yes—
2029C42C24×C6114yes—
2030C42C24×C6114yes—
2031C42C24×C6114yes—
2032C42C24×C6112yes—
2033C42C24×C6111yescharacteristic
2034C42C24×C6111yescharacteristic
2035C42C24×C6112yes—
2036C42C24×C6112yes—
2037C42C24×C6114yes—
2038C42C24×C6114yes—
2039C42C24×C6111yescharacteristic
2040C42C24×C6112yes—
2041C42C24×C6114yes—
2042C42C24×C6112yes—
2043C42C24×C6114yes—
2044C42C24×C6114yes—
2045C42C24×C6114yes—
2046C42C24×C6114yes—
2047C42C24×C6114yes—
2048C42C24×C6114yes—
2049C42C24×C6114yes—
2050C42C24×C6114yes—
2051C23—42no—
2052C23—42no—
2053C23—42no—
2054C23C25×C6112yes—
2055C23C25×C6112yes—
2056C23C25×C6112yes—
2057C23C25×C6112yes—
2058C23C25×C6111yescharacteristic
2059C23C25×C6112yes—
2060Q8—24no—
2061Q8—24no—
2062Q8—22no—
2063Q8—44no—
2064Q8—44no—
2065Q8—44no—
2066Q8—44no—
2067Q8—41no—
2068Q8—41no—
2069Q8—44no—
2070Q8—42no—
2071Q8—44no—
2072Q8—42no—
2073Q8—42no—
2074Q8—41no—
2075Q8—41no—
2076D4—22no—
2077D4—42no—
2078D4—42no—
2079D4—44no—
2080D4—41no—
2081D4—41no—
2082D4—44no—
2083D4—42no—
2084D4—42no—
2085D4—42no—
2086D4—42no—
2087D4—42no—
2088D4—42no—
2089D4—44no—
2090D4—42no—
2091D4—41no—
2092D4—41no—
2093D4—42no—
2094D4—42no—
2095D4—42no—
2096D4—42no—
2097D4—44no—
2098D4—42no—
2099C2×C4—24no—
2100C2×C4—24no—
2101C2×C4—24no—
2102C2×C4—24no—
2103C2×C4—22no—
2104C2×C4—42no—
2105C2×C4—42no—
2106C2×C4—42no—
2107C2×C4—44no—
2108C2×C4—42no—
2109C2×C4—44no—
2110C2×C4—44no—
2111C2×C4—42no—
2112C2×C4—42no—
2113C2×C4—42no—
2114C2×C4—44no—
2115C2×C4—44no—
2116C2×C4—42no—
2117C2×C4—41no—
2118C2×C4—41no—
2119C2×C4—44no—
2120C2×C4—42no—
2121C2×C4—44no—
2122C2×C4—44no—
2123C2×C4—44no—
2124C2×C4—44no—
2125C2×C4—42no—
2126C2×C4C25×C6112yes—
2127C2×C4C25×C6112yes—
2128C2×C4C25×C6114yes—
2129C2×C4C25×C6112yes—
2130C2×C4C25×C6112yes—
2131C2×C4C25×C6111yescharacteristic
2132C2×C4C25×C6111yescharacteristic
2133C2×C4C25×C6112yes—
2134C2×C4C25×C6114yes—
2135C2×C4C25×C6112yes—
2136C2×C4C25×C6114yes—
2137C2×C4C25×C6111yescharacteristic
2138C2×C4C25×C6111yescharacteristic
2139C2×C4C25×C6114yes—
2140C2×C4C25×C6114yes—
2141C2×C4C25×C6112yes—
2142C2×C4C25×C6112yes—
2143C2×C4C25×C6112yes—
2144C2×C4C25×C6114yes—
2145C2×C4C25×C6112yes—
2146C2×C4C25×C6111yescharacteristic
2147C2×C4C25×C6112yes—
2148C2×C4C25×C6111yescharacteristic
2149C22—22no—
2150C22—22no—
2151C22—22no—
2152C22—22no—
2153C22—21no—
2154C22—22no—
2155C22—22no—
2156C22—21no—
2157C22—21no—
2158C22—22no—
2159C22—22no—
2160C22—22no—
2161C22—22no—
2162C22—22no—
2163C22—22no—
2164C22—22no—
2165C22—22no—
2166C22—22no—
2167C22—84no—
2168C22C26×C6111yescharacteristic
2169C4—22no—
2170C4—21no—
2171C4—22no—
2172C4—22no—
2173C4—22no—
2174C4—22no—
2175C4—24no—
2176C4—24no—
2177C4—22no—
2178C4—22no—
2179C4—21no—
2180C4—24no—
2181C4—24no—
2182C4—21no—
2183C4—24no—
2184C4—22no—
2185C4—21no—
2186C4—21no—
2187C4—22no—
2188C4—22no—
2189C4—24no—
2190C4—22no—
2191C4C61×#58512yes—
2192C2—42no—
2193C2—42no—
2194C2—42no—
2195C2—42no—
2196C2—41no—
2197C2—42no—
2198C2C2×C61×#58511yescharacteristic
2199C2C61×2−1+611yescharacteristic
2200C2C61×2−1+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×#3568C2semidirect
2. C61×#3566C2semidirect
3. C61×#3566C2semidirect
4. C61×#3566C2semidirect
5. C61×#3565C2semidirect
6. C61×#3565C2semidirect
7. C61×#3565C2semidirect
8. C61×#3563C2semidirect
9. C61×#3563C2semidirect
10. C61×#3563C2semidirect
11. C61×#3555C2semidirect
12. C61×#3555C2semidirect
13. C61×#3553C2semidirect
14. C61×#3550C2semidirect
15. C61×#3547C2semidirect
16. C61×#3541C2semidirect
17. C61×#3541C2semidirect
18. C61×#3538C2semidirect
19. C61×#3531C2semidirect
20. C61×#3529C2semidirect
21. C61×#3523C2semidirect
22. C61×#3518C2semidirect
23. C61×#3516C2semidirect
24. C61×#3515C2semidirect
25. C61×#3512C2semidirect
26. C61×#3507C2semidirect
27. C61×#3495C2semidirect
28. C61×#3495C2semidirect
29. C61×#3493C2semidirect
30. C61×#564C22semidirect
31. C61×#564C22semidirect
38. C61×#563C22semidirect
39. C61×#563C22semidirect
40. C61×#563C22semidirect
41. C61×#563C22semidirect
42. C61×#563C22semidirect
43. C61×#563C22semidirect
44. C61×#563C22semidirect
52. C61×#562C22semidirect
53. C61×#562C22semidirect
60. Q82×C61C22semidirect
61. Q82×C61C22semidirect
62. C61×#557C22semidirect
63. C61×#557C22semidirect
64. C61×#557C22semidirect
65. C61×#557C22semidirect
66. C61×#557C22semidirect
67. C61×#557C22semidirect
73. C61×#556C22semidirect
74. C61×#556C22semidirect
75. C61×#556C22semidirect
76. C61×#556C22semidirect
77. C61×#556C22semidirect
78. C61×#556C22semidirect
79. C61×#556C22semidirect
80. C61×#556C22semidirect
81. C61×#556C22semidirect
82. C61×#556C22semidirect
83. C61×#556C22semidirect
87. C61×#555C22semidirect
88. C61×#555C22semidirect
91. C61×#554C22semidirect
92. C61×#554C22semidirect
93. C61×#554C22semidirect
94. C61×#554C22semidirect
95. C61×#554C22semidirect
96. C61×#554C22semidirect
97. C61×#554C22semidirect
104. C61×#553C22semidirect
105. C61×#553C22semidirect
106. C61×#553C22semidirect
107. C61×#553C22semidirect
108. C61×#553C22semidirect
115. C61×#552C22semidirect
116. C61×#552C22semidirect
117. C61×#552C22semidirect
118. C61×#552C22semidirect
119. C61×#552C22semidirect
120. C61×#552C22semidirect
121. C61×#552C22semidirect
122. C61×#552C22semidirect
123. C61×#552C22semidirect
124. C61×#552C22semidirect
125. C61×#552C22semidirect
126. C61×#552C22semidirect
127. C61×#552C22semidirect
128. C61×#552C22semidirect
129. C61×#552C22semidirect
130. C61×#552C22semidirect
131. C61×#552C22semidirect
132. C61×#552C22semidirect
133. C61×#552C22semidirect
137. C61×#551C22semidirect
138. C61×#551C22semidirect
139. C61×#551C22semidirect
142. D4×Q8×C61C22semidirect
143. D4×Q8×C61C22semidirect
144. D4×Q8×C61C22semidirect
146. C61×#548C22semidirect
147. C61×#548C22semidirect
149. C61×#547C22semidirect
150. C61×#544C22semidirect
151. C61×#544C22semidirect
152. C61×#544C22semidirect
153. C61×#544C22semidirect
154. C61×#544C22semidirect
155. C61×#544C22semidirect
156. C61×#544C22semidirect
157. C61×#544C22semidirect
165. C61×#542C22semidirect
166. C61×#542C22semidirect
167. C61×#542C22semidirect
168. C61×#542C22semidirect
169. C61×#542C22semidirect
170. C61×#542C22semidirect
171. C61×#542C22semidirect
172. C61×#542C22semidirect
173. C61×#541C22semidirect
174. C61×#541C22semidirect
175. C61×#541C22semidirect
176. C61×#541C22semidirect
177. C61×#541C22semidirect
178. C61×#541C22semidirect
179. C61×#541C22semidirect
180. C61×#541C22semidirect
181. C61×#541C22semidirect
182. C61×#541C22semidirect
183. C61×#541C22semidirect
184. C61×#541C22semidirect
185. C61×#541C22semidirect
186. C61×#541C22semidirect
187. C61×#541C22semidirect
188. C61×#541C22semidirect
196. C61×#539C22semidirect
197. C61×#539C22semidirect
198. C61×#539C22semidirect
199. C61×#539C22semidirect
200. C61×#539C22semidirect
204. C61×#538C22semidirect
205. C61×#538C22semidirect
206. C61×#538C22semidirect
209. C61×#537C22semidirect
213. C61×#536C22semidirect
214. C61×#533C22semidirect
215. C61×#533C22semidirect
216. C61×#533C22semidirect
217. C61×#533C22semidirect
218. C61×#533C22semidirect
219. C61×#533C22semidirect
220. C61×#533C22semidirect
221. C61×#533C22semidirect
235. C61×#529C22semidirect
236. C61×#529C22semidirect
237. C61×#529C22semidirect
238. C61×#529C22semidirect
239. C61×#529C22semidirect
240. C61×#529C22semidirect
241. C61×#529C22semidirect
242. C2×#125×C61C22semidirect
243. C2×#125×C61C22semidirect
247. C61×#525C22semidirect
248. C2×C22⋊Q8×C61C22semidirect
249. C2×C22⋊Q8×C61C22semidirect
252. C61×#520C22semidirect
253. C61×#520C22semidirect
254. C61×#519C22semidirect
255. C61×#519C22semidirect
256. C4×#41×C61C22semidirect
257. C2×C4×Q8×C61C22semidirect
258. C2×#117×C61C22semidirect
1048. #63053C61direct (N × H)
1092. #3568C2×C61semidirect
1093. #3566C2×C61semidirect
1094. #3566C2×C61semidirect
1095. #3566C2×C61semidirect
1096. #3565C2×C61semidirect
1097. #3565C2×C61semidirect
1098. #3565C2×C61semidirect
1099. #3563C2×C61semidirect
1100. #3563C2×C61semidirect
1101. #3563C2×C61semidirect
1102. #3555C2×C61semidirect
1103. #3555C2×C61semidirect
1104. #3553C2×C61semidirect
1105. #3550C2×C61semidirect
1106. #3547C2×C61semidirect
1107. #3541C2×C61semidirect
1108. #3541C2×C61semidirect
1109. #3538C2×C61semidirect
1110. #3531C2×C61semidirect
1111. #3529C2×C61semidirect
1112. #3523C2×C61semidirect
1113. #3518C2×C61semidirect
1114. #3516C2×C61semidirect
1115. #3515C2×C61semidirect
1116. #3512C2×C61semidirect
1117. #3507C2×C61semidirect
1118. #3495C2×C61semidirect
1119. #3495C2×C61semidirect
1120. #3493C2×C61semidirect
1130. #564C22×C61semidirect
1131. #564C22×C61semidirect
1138. #563C22×C61semidirect
1139. #563C22×C61semidirect
1140. #563C22×C61semidirect
1141. #563C22×C61semidirect
1142. #563C22×C61semidirect
1143. #563C22×C61semidirect
1144. #563C22×C61semidirect
1152. #562C22×C61semidirect
1153. #562C22×C61semidirect
1160. Q82C22×C61semidirect
1161. Q82C22×C61semidirect
1162. #557C22×C61semidirect
1163. #557C22×C61semidirect
1164. #557C22×C61semidirect
1165. #557C22×C61semidirect
1166. #557C22×C61semidirect
1167. #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. #556C22×C61semidirect
1182. #556C22×C61semidirect
1183. #556C22×C61semidirect
1187. #555C22×C61semidirect
1188. #555C22×C61semidirect
1191. #554C22×C61semidirect
1192. #554C22×C61semidirect
1193. #554C22×C61semidirect
1194. #554C22×C61semidirect
1195. #554C22×C61semidirect
1196. #554C22×C61semidirect
1197. #554C22×C61semidirect
1204. #553C22×C61semidirect
1205. #553C22×C61semidirect
1206. #553C22×C61semidirect
1207. #553C22×C61semidirect
1208. #553C22×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
1237. #551C22×C61semidirect
1238. #551C22×C61semidirect
1239. #551C22×C61semidirect
1242. D4×Q8C22×C61semidirect
1243. D4×Q8C22×C61semidirect
1244. D4×Q8C22×C61semidirect
1246. #548C22×C61semidirect
1247. #548C22×C61semidirect
1249. #547C22×C61semidirect
1250. #544C22×C61semidirect
1251. #544C22×C61semidirect
1252. #544C22×C61semidirect
1253. #544C22×C61semidirect
1254. #544C22×C61semidirect
1255. #544C22×C61semidirect
1256. #544C22×C61semidirect
1257. #544C22×C61semidirect
1265. #542C22×C61semidirect
1266. #542C22×C61semidirect
1267. #542C22×C61semidirect
1268. #542C22×C61semidirect
1269. #542C22×C61semidirect
1270. #542C22×C61semidirect
1271. #542C22×C61semidirect
1272. #542C22×C61semidirect
1273. #541C22×C61semidirect
1274. #541C22×C61semidirect
1275. #541C22×C61semidirect
1276. #541C22×C61semidirect
1277. #541C22×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
1287. #541C22×C61semidirect
1288. #541C22×C61semidirect
1296. #539C22×C61semidirect
1297. #539C22×C61semidirect
1298. #539C22×C61semidirect
1299. #539C22×C61semidirect
1300. #539C22×C61semidirect
1304. #538C22×C61semidirect
1305. #538C22×C61semidirect
1306. #538C22×C61semidirect
1309. #537C22×C61semidirect
1313. #536C22×C61semidirect
1314. #533C22×C61semidirect
1315. #533C22×C61semidirect
1316. #533C22×C61semidirect
1317. #533C22×C61semidirect
1318. #533C22×C61semidirect
1319. #533C22×C61semidirect
1320. #533C22×C61semidirect
1321. #533C22×C61semidirect
1335. #529C22×C61semidirect
1336. #529C22×C61semidirect
1337. #529C22×C61semidirect
1338. #529C22×C61semidirect
1339. #529C22×C61semidirect
1340. #529C22×C61semidirect
1341. #529C22×C61semidirect
1342. C2×#125C22×C61semidirect
1343. C2×#125C22×C61semidirect
1347. #525C22×C61semidirect
1348. C2×C22⋊Q8C22×C61semidirect
1349. C2×C22⋊Q8C22×C61semidirect
1352. #520C22×C61semidirect
1353. #520C22×C61semidirect
1354. #519C22×C61semidirect
1355. #519C22×C61semidirect
1356. C4×#41C22×C61semidirect
1357. C2×C4×Q8C22×C61semidirect
1358. C2×#117C22×C61semidirect
1359. C61#63053direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#35682
C61×#35662
C61×#35652
C61×#35632
C61×#35552
C61×#35532
C61×#35502
C61×#35472
C61×#35412
C61×#35382
C61×#35312
C61×#35292
C61×#35232
C61×#35182
C61×#35162
C61×#35152
C61×#35122
C61×#35072
C61×#34952
C61×#34932
#6305361