Finite Group Databasebeta

← C61×#63056 #29566489

Subgroups — C61×#63056 #29566489

Order 15616.

6496 conjugacy classes of subgroups.

The subgroup lattice has 2242 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×#3562C212yesmaximal, complemented
5C61×#3562C212yesmaximal, complemented
6C61×#3562C214yesmaximal, complemented
7C61×#3561C211yesmaximal, characteristic, complemented
8C61×#3559C212yesmaximal, complemented
9C61×#3558C211yesmaximal, characteristic, complemented
10C61×#3555C212yesmaximal, complemented
11C61×#3554C212yesmaximal, complemented
12C61×#3554C212yesmaximal, complemented
13C61×#3553C212yesmaximal, complemented
14C61×#3550C211yesmaximal, characteristic, complemented
15C61×#3546C212yesmaximal, complemented
16C61×#3541C214yesmaximal, complemented
17C61×#3535C214yesmaximal, complemented
18C61×#3533C214yesmaximal, complemented
19C61×#3531C211yesmaximal, characteristic, complemented
20C61×#3529C212yesmaximal, complemented
21C61×#3522C212yesmaximal, complemented
22C61×#3520C212yesmaximal, complemented
23C61×#3517C211yesmaximal, characteristic, complemented
24C61×#3516C212yesmaximal, complemented
25C61×#3515C211yesmaximal, characteristic, complemented
26C61×#3513C212yesmaximal, complemented
27C61×#3510C211yesmaximal, characteristic, complemented
28C61×#3507C212yesmaximal, complemented
29C61×#3506C212yesmaximal, complemented
30C61×#564C2211yescharacteristic, complemented
31C61×#563C2212yescomplemented
32C61×#563C2212yescomplemented
33C61×#563C2212yescomplemented
34C61×#563C2214yescomplemented
35C61×#563C2214yescomplemented
36C61×#563C2211yescharacteristic, complemented
37C61×#563C2212yescomplemented
38C61×#563C2212yescomplemented
39C61×#563C2211yescharacteristic, complemented
40C61×#563C2212yescomplemented
41C61×#563C2212yescomplemented
42C61×#562C2212yes—
43C61×#562C2212yes—
44C61×#562C2214yescomplemented
45C61×#562C2214yescomplemented
46C61×#562C2214yescomplemented
47C61×#562C2214yescomplemented
48C61×#562C2212yescomplemented
49C61×#562C2212yescomplemented
50C61×#562C2214yescomplemented
51C61×#562C2214yescomplemented
52C61×#562C2211yescharacteristic, complemented
53C61×H(3,𝔽4)C2212yes—
54C61×#560C2214yescomplemented
55C61×#560C2214yescomplemented
56C61×#560C2214yescomplemented
57C61×#560C2214yescomplemented
58C61×#559C2212yes—
59C61×#559C2212yes—
60C61×#559C2212yescomplemented
61C61×#559C2212yescomplemented
62C61×#559C2214yescomplemented
63C61×#559C2212yescomplemented
64C61×#559C2214yescomplemented
65C61×#559C2212yescomplemented
66Q82×C61C2212yescomplemented
67C61×#557C2212yescomplemented
68C61×#557C2212yescomplemented
69C61×#557C2211yescharacteristic, complemented
70C61×#557C2211yescharacteristic, complemented
71C61×#556C2212yescomplemented
72C61×#556C2212yescomplemented
73C61×#556C2212yescomplemented
74C61×#556C2212yescomplemented
75C61×#556C2214yescomplemented
76C61×#556C2212yescomplemented
77C61×#556C2214yescomplemented
78C61×#556C2214yescomplemented
79C61×#556C2212yescomplemented
80C61×#556C2212yescomplemented
81C61×#555C2214yescomplemented
82C61×#554C2214yescomplemented
83C61×#554C2214yescomplemented
84C61×#554C2211yescharacteristic, complemented
85C61×#554C2212yescomplemented
86C61×#554C2214yescomplemented
87C61×#554C2214yescomplemented
88C61×#554C2211yescharacteristic, complemented
89C61×#554C2212yescomplemented
90C61×#553C2212yes—
91C61×#553C2214yescomplemented
92C61×#553C2214yescomplemented
93C61×#553C2214yescomplemented
94C61×#553C2214yescomplemented
95C61×#553C2214yescomplemented
96C61×#553C2214yescomplemented
97C61×#553C2214yescomplemented
98C61×#553C2214yescomplemented
99C61×#553C2212yescomplemented
100C61×#552C2214yescomplemented
101C61×#552C2214yescomplemented
102C61×#552C2214yescomplemented
103C61×#552C2212yescomplemented
104C61×#552C2214yescomplemented
105C61×#552C2214yescomplemented
106C61×#552C2214yescomplemented
107C61×#552C2212yescomplemented
108C61×#551C2214yescomplemented
109C61×#551C2214yescomplemented
110C61×#551C2214yescomplemented
111C61×#551C2214yescomplemented
112C61×#551C2214yescomplemented
113C61×#551C2214yescomplemented
114C61×#551C2214yescomplemented
115C61×#551C2214yescomplemented
116C61×#551C2214yescomplemented
117C61×#550C2212yes—
118C61×#550C2212yes—
119C61×#550C2212yescomplemented
120C61×#550C2212yescomplemented
121C61×#550C2211yescharacteristic, complemented
122C61×#550C2211yescharacteristic, complemented
123D4×Q8×C61C2212yescomplemented
124D4×Q8×C61C2212yescomplemented
125D4×Q8×C61C2212yescomplemented
126C61×#548C2212yes—
127C61×#548C2212yescomplemented
128C61×#548C2214yescomplemented
129C61×#548C2212yescomplemented
130C61×#548C2212yescomplemented
131C61×#548C2214yescomplemented
132C61×#547C2212yes—
133C61×#547C2212yescomplemented
134C61×#547C2214yescomplemented
135C61×#547C2212yescomplemented
136C61×#547C2214yescomplemented
137C61×#547C2214yescomplemented
138C61×#547C2211yescharacteristic, complemented
139C61×#547C2211yescharacteristic, complemented
140C61×#547C2212yescomplemented
141C61×#547C2214yescomplemented
142C61×#546C2212yes—
143C61×#546C2212yes—
144C61×#546C2214yes—
145C61×#546C2212yescomplemented
146C61×#546C2214yescomplemented
147C61×#546C2212yescomplemented
148C61×#546C2214yescomplemented
149D42×C61C2212yes—
150C61×#544C2214yescomplemented
151C61×#543C2212yescomplemented
152C61×#542C2212yes—
153C61×#542C2212yes—
154C61×#542C2212yescomplemented
155C61×#542C2212yescomplemented
156C61×#542C2214yescomplemented
157C61×#542C2212yescomplemented
158C61×#542C2212yescomplemented
159C61×#542C2214yescomplemented
160C61×#542C2214yescomplemented
161C61×#542C2214yescomplemented
162C61×#542C2212yescomplemented
163C61×#542C2214yescomplemented
164C61×#542C2214yescomplemented
165C61×#542C2212yescomplemented
166C61×#542C2214yescomplemented
167C61×#541C2214yescomplemented
168C61×#541C2214yescomplemented
169C61×#541C2212yescomplemented
170C61×#541C2212yescomplemented
171C61×#541C2214yescomplemented
172C61×#541C2214yescomplemented
173C61×#540C2212yes—
174C61×#540C2212yescomplemented
175C61×#540C2214yescomplemented
176C61×#540C2214yescomplemented
177C61×#540C2214yescomplemented
178C61×#540C2214yescomplemented
179C61×#539C2214yescomplemented
180C61×#539C2214yescomplemented
181C61×#539C2214yescomplemented
182C61×#539C2214yescomplemented
183C61×#539C2214yescomplemented
184C61×#539C2214yescomplemented
185C61×#539C2214yescomplemented
186C61×#539C2214yescomplemented
187C61×#539C2214yescomplemented
188C61×#539C2214yescomplemented
189C61×#539C2214yescomplemented
190C61×#539C2214yescomplemented
191C61×#538C2212yes—
192C61×#538C2214yes—
193C61×#538C2214yescomplemented
194C61×#538C2214yescomplemented
195C61×#538C2212yescomplemented
196C61×#538C2214yescomplemented
197C61×#538C2214yescomplemented
198C61×#538C2214yescomplemented
199C61×#538C2214yescomplemented
200C61×#538C2214yescomplemented
201C61×#538C2214yescomplemented
202C61×#538C2214yescomplemented
203C61×#537C2214yescomplemented
204C61×#536C2214yescomplemented
205C61×#536C2211yescharacteristic, complemented
206C61×#536C2212yescomplemented
207C61×#536C2214yescomplemented
208C61×#536C2212yescomplemented
209C61×#535C2211yescharacteristic
210C61×#535C2212yes—
211C61×#535C2212yescomplemented
212C61×#535C2214yescomplemented
213C61×#534C2212yes—
214C61×#533C2211yescharacteristic, complemented
215C61×#533C2211yescharacteristic, complemented
216C61×#533C2212yescomplemented
217C61×#533C2212yescomplemented
218C61×#533C2212yescomplemented
219C61×#532C2212yes—
220C61×#532C2211yescharacteristic
221C61×#532C2212yescomplemented
222C61×#532C2212yescomplemented
223C61×#532C2212yescomplemented
224C61×#532C2214yescomplemented
225C61×#529C2212yes—
226C61×#529C2211yescharacteristic
227C61×#529C2212yescomplemented
228C61×#529C2212yescomplemented
229C61×#529C2212yescomplemented
230C61×#529C2212yescomplemented
231C61×#529C2212yescomplemented
232C61×#529C2212yescomplemented
233C61×#529C2211yescharacteristic, complemented
234C61×#529C2214yescomplemented
235C61×#529C2214yescomplemented
236C61×#529C2212yescomplemented
237C61×#529C2212yescomplemented
238C61×#529C2214yescomplemented
239C61×#529C2214yescomplemented
240C61×#529C2214yescomplemented
241C61×#529C2212yescomplemented
242C2×#125×C61C2212yescomplemented
243C2×#124×C61C2211yescharacteristic
244C61×#525C2214yescomplemented
245C61×#525C2214yescomplemented
246C61×#525C2214yescomplemented
247C61×#525C2214yescomplemented
248C2×#123×C61C2214yescomplemented
249C2×C22⋊Q8×C61C2214yescomplemented
250C61×#520C2212yescomplemented
251C61×#520C2212yescomplemented
252C61×#520C2212yescomplemented
253C61×#520C2212yescomplemented
254C61×#519C2211yescharacteristic, complemented
255C61×#518C2211yescharacteristic
256C4×#41×C61C2211yescharacteristic, complemented
257C2×C4×Q8×C61C2212yescomplemented
258C2×C4×D4×C61C2212yescomplemented
259C2×#41×C61C2312yes—
260C2×#41×C61C2312yes—
261C2×#41×C61C2312yes—
262C2×#41×C61C2312yes—
263C2×#41×C61C2311yescharacteristic
264C2×#41×C61C2312yes—
265C2×#41×C61C2312yes—
266C2×#41×C61C2314yes—
267C2×#41×C61C2314yes—
268C2×#41×C61C2312yes—
269C2×#41×C61C2314yes—
270C22×Q8×C61C2312yes—
271C22×Q8×C61C2311yescharacteristic
272C22×Q8×C61C2314yes—
273C22×D4×C61C2312yes—
274C22×D4×C61C2311yescharacteristic
275C22×D4×C61C2314yes—
276C23×C4×C61C2314yes—
277C4⋊Q8×C61C2312yes—
278C4⋊Q8×C61C2311yescharacteristic
279C4⋊Q8×C61C2312yes—
280C4⋊Q8×C61C2314yes—
281C4⋊Q8×C61C2312yes—
282C4⋊Q8×C61C2312yes—
283C4⋊Q8×C61C2312yes—
284C4⋊Q8×C61C2311yescharacteristic
285C4⋊Q8×C61C2312yes—
286C4⋊Q8×C61C2312yes—
287C4⋊Q8×C61C2312yes—
288C4⋊Q8×C61C2311yescharacteristic
289C4⋊Q8×C61C2311yescharacteristic
290C4⋊Q8×C61C2312yes—
291C4⋊Q8×C61C2311yescharacteristic
292C4⋊Q8×C61C2312yes—
293C4⋊Q8×C61C2314yes—
294C4⋊Q8×C61C2314yes—
295C4⋊Q8×C61C2314yes—
296C4⋊Q8×C61C2314yes—
297#127×C61C2311yescharacteristic
298#127×C61C2312yes—
299#127×C61C2312yes—
300#127×C61C2312yes—
301#127×C61C2314yes—
302#127×C61C2312yes—
303#127×C61C2314yes—
304#126×C61C2314yes—
305#126×C61C2312yes—
306#126×C61C2314yes—
307#126×C61C2314yes—
308#126×C61C2314yes—
309#126×C61C2314yes—
310#126×C61C2312yes—
311#126×C61C2312yes—
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×C61C2312yes—
324#126×C61C2312yes—
325#126×C61C2312yes—
326#126×C61C2312yes—
327#126×C61C2314yes—
328#126×C61C2314yes—
329#126×C61C2314yes—
330#126×C61C2314yes—
331#126×C61C2314yes—
332#126×C61C2314yes—
333#126×C61C2314yes—
334#126×C61C2314yes—
335#126×C61C2314yes—
336#126×C61C2314yes—
337#126×C61C2312yes—
338#126×C61C2312yes—
339#126×C61C2312yes—
340#125×C61C2314yes—
341#125×C61C2312yes—
342#125×C61C2312yes—
343#125×C61C2312yes—
344#125×C61C2312yes—
345#125×C61C2312yes—
346#125×C61C2311yescharacteristic
347#125×C61C2311yescharacteristic
348#125×C61C2314yes—
349#125×C61C2314yes—
350#125×C61C2312yes—
351#125×C61C2312yes—
352#125×C61C2314yes—
353#125×C61C2312yes—
354#125×C61C2312yes—
355#125×C61C2312yes—
356#125×C61C2314yes—
357#125×C61C2314yes—
358#125×C61C2314yes—
359#125×C61C2314yes—
360#125×C61C2314yes—
361#125×C61C2314yes—
362#125×C61C2314yes—
363#125×C61C2312yes—
364#125×C61C2314yes—
365#125×C61C2312yes—
366#125×C61C2314yes—
367#125×C61C2314yes—
368#125×C61C2312yes—
369#125×C61C2311yescharacteristic
370#125×C61C2311yescharacteristic
371#124×C61C2312yes—
372#124×C61C2312yes—
373#124×C61C2312yes—
374#124×C61C2311yescharacteristic
375#124×C61C2314yes—
376#124×C61C2312yes—
377#124×C61C2312yes—
378#124×C61C2314yes—
379#124×C61C2314yes—
380#124×C61C2312yes—
381#124×C61C2312yes—
382#124×C61C2314yes—
383#124×C61C2312yes—
384#124×C61C2314yes—
385#124×C61C2314yes—
386#124×C61C2314yes—
387#124×C61C2312yes—
388#124×C61C2312yes—
389#124×C61C2314yes—
390#124×C61C2314yes—
391#124×C61C2314yes—
392#124×C61C2314yes—
393#124×C61C2312yes—
394#124×C61C2314yes—
395#124×C61C2312yes—
396#124×C61C2312yes—
397#124×C61C2314yes—
398#124×C61C2314yes—
399#124×C61C2314yes—
400#124×C61C2314yes—
401#124×C61C2314yes—
402#124×C61C2312yes—
403#124×C61C2311yescharacteristic
404#124×C61C2312yes—
405#123×C61C2314yes—
406#123×C61C2314yes—
407#123×C61C2314yes—
408#123×C61C2314yes—
409#123×C61C2314yes—
410#123×C61C2314yes—
411#123×C61C2314yes—
412#123×C61C2314yes—
413#123×C61C2314yes—
414#123×C61C2314yes—
415#123×C61C2314yes—
416#123×C61C2314yes—
417#123×C61C2314yes—
418#123×C61C2314yes—
419#123×C61C2314yes—
420#123×C61C2314yes—
421#123×C61C2312yes—
422#123×C61C2312yes—
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×C61C2314yes—
435#123×C61C2314yes—
436#123×C61C2312yes—
437#123×C61C2314yes—
438#123×C61C2314yes—
439#123×C61C2314yes—
440#123×C61C2314yes—
441#123×C61C2314yes—
442#123×C61C2314yes—
443#123×C61C2314yes—
444#123×C61C2314yes—
445#123×C61C2314yes—
446#123×C61C2312yes—
447#123×C61C2312yes—
448#123×C61C2312yes—
449#123×C61C2314yes—
450#123×C61C2314yes—
451#123×C61C2314yes—
452#123×C61C2312yes—
453#123×C61C2312yes—
454#123×C61C2314yes—
455#123×C61C2314yes—
456#123×C61C2312yes—
457#123×C61C2312yes—
458C22⋊Q8×C61C2312yes—
459C22⋊Q8×C61C2312yes—
460C22⋊Q8×C61C2312yes—
461C22⋊Q8×C61C2312yes—
462C22⋊Q8×C61C2312yes—
463C22⋊Q8×C61C2312yes—
464C22⋊Q8×C61C2312yes—
465C22⋊Q8×C61C2312yes—
466C22⋊Q8×C61C2312yes—
467C22⋊Q8×C61C2312yes—
468C22⋊Q8×C61C2312yes—
469C22⋊Q8×C61C2312yes—
470C22⋊Q8×C61C2312yes—
471C22⋊Q8×C61C2314yes—
472C22⋊Q8×C61C2312yes—
473C22⋊Q8×C61C2314yes—
474C22⋊Q8×C61C2314yes—
475C22⋊Q8×C61C2314yes—
476C22⋊Q8×C61C2312yes—
477C22⋊Q8×C61C2314yes—
478C22⋊Q8×C61C2314yes—
479C22⋊Q8×C61C2314yes—
480C22⋊Q8×C61C2314yes—
481C22⋊Q8×C61C2314yes—
482C22⋊Q8×C61C2314yes—
483C22⋊Q8×C61C2314yes—
484C22⋊Q8×C61C2312yes—
485C22⋊Q8×C61C2312yes—
486C22⋊Q8×C61C2314yes—
487C22⋊Q8×C61C2314yes—
488C22⋊Q8×C61C2314yes—
489C22⋊Q8×C61C2311yescharacteristic
490C22⋊Q8×C61C2314yes—
491C22⋊Q8×C61C2314yes—
492C22⋊Q8×C61C2314yes—
493C22⋊Q8×C61C2314yes—
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×C61C2312yes—
508C22⋊Q8×C61C2314yes—
509C22⋊Q8×C61C2312yes—
510C22⋊Q8×C61C2312yes—
511C22⋊Q8×C61C2314yes—
512C22⋊Q8×C61C2312yes—
513C22⋊Q8×C61C2312yes—
514C22⋊Q8×C61C2311yescharacteristic
515C22⋊Q8×C61C2314yes—
516C22⋊Q8×C61C2312yes—
517C22⋊Q8×C61C2312yes—
518#121×C61C2312yes—
519#121×C61C2314yes—
520#121×C61C2312yes—
521#121×C61C2314yes—
522#121×C61C2314yes—
523#121×C61C2312yes—
524#121×C61C2314yes—
525#121×C61C2314yes—
526#121×C61C2314yes—
527#121×C61C2314yes—
528#121×C61C2312yes—
529#121×C61C2314yes—
530#121×C61C2312yes—
531#121×C61C2314yes—
532#121×C61C2311yescharacteristic
533#121×C61C2314yes—
534#121×C61C2312yes—
535#121×C61C2314yes—
536#121×C61C2314yes—
537#121×C61C2312yes—
538#121×C61C2312yes—
539#121×C61C2314yes—
540#121×C61C2314yes—
541#121×C61C2314yes—
542#121×C61C2314yes—
543#121×C61C2314yes—
544#121×C61C2314yes—
545#121×C61C2314yes—
546#121×C61C2314yes—
547#121×C61C2314yes—
548#121×C61C2314yes—
549#121×C61C2314yes—
550#121×C61C2314yes—
551#121×C61C2312yes—
552#121×C61C2312yes—
553#121×C61C2311yescharacteristic
554#121×C61C2314yes—
555#121×C61C2314yes—
556#121×C61C2314yes—
557#121×C61C2314yes—
558#121×C61C2314yes—
559#121×C61C2314yes—
560#121×C61C2314yes—
561#121×C61C2314yes—
562#121×C61C2314yes—
563#121×C61C2314yes—
564#121×C61C2312yes—
565#121×C61C2312yes—
566#121×C61C2312yes—
567#121×C61C2312yes—
568#120×C61C2314yes—
569#120×C61C2314yes—
570#120×C61C2314yes—
571#120×C61C2314yes—
572#120×C61C2314yes—
573#120×C61C2314yes—
574#120×C61C2314yes—
575#120×C61C2314yes—
576#120×C61C2314yes—
577#120×C61C2314yes—
578#120×C61C2314yes—
579C4×Q8×C61C2312yes—
580C4×Q8×C61C2312yes—
581C4×Q8×C61C2311yescharacteristic
582C4×Q8×C61C2311yescharacteristic
583C4×Q8×C61C2312yes—
584C4×Q8×C61C2312yes—
585C4×Q8×C61C2314yes—
586C4×Q8×C61C2312yes—
587C4×Q8×C61C2312yes—
588C4×Q8×C61C2312yes—
589C4×Q8×C61C2312yes—
590C4×Q8×C61C2312yes—
591C4×Q8×C61C2311yescharacteristic
592C4×Q8×C61C2312yes—
593C4×Q8×C61C2314yes—
594C4×Q8×C61C2312yes—
595C4×Q8×C61C2314yes—
596C4×Q8×C61C2314yes—
597C4×Q8×C61C2314yes—
598C4×Q8×C61C2312yes—
599C4×Q8×C61C2312yes—
600C4×Q8×C61C2314yes—
601C4×Q8×C61C2312yes—
602C4×Q8×C61C2312yes—
603C4×Q8×C61C2312yes—
604C4×Q8×C61C2312yes—
605C4×Q8×C61C2311yescharacteristic
606C4×Q8×C61C2312yes—
607C4×D4×C61C2312yes—
608C4×D4×C61C2314yes—
609C4×D4×C61C2314yes—
610C4×D4×C61C2312yes—
611C4×D4×C61C2314yes—
612C4×D4×C61C2314yes—
613C4×D4×C61C2314yes—
614C4×D4×C61C2314yes—
615C4×D4×C61C2314yes—
616C4×D4×C61C2314yes—
617C4×D4×C61C2312yes—
618C4×D4×C61C2312yes—
619C4×D4×C61C2314yes—
620C4×D4×C61C2314yes—
621C4×D4×C61C2314yes—
622C4×D4×C61C2314yes—
623C4×D4×C61C2314yes—
624C4×D4×C61C2314yes—
625C4×D4×C61C2314yes—
626C4×D4×C61C2314yes—
627C4×D4×C61C2314yes—
628C4×D4×C61C2314yes—
629C4×D4×C61C2314yes—
630C4×D4×C61C2314yes—
631C4×D4×C61C2314yes—
632C4×D4×C61C2314yes—
633C4×D4×C61C2314yes—
634C4×D4×C61C2314yes—
635C4×D4×C61C2314yes—
636C4×D4×C61C2314yes—
637C4×D4×C61C2312yes—
638C4×D4×C61C2312yes—
639C4×D4×C61C2312yes—
640C4×D4×C61C2314yes—
641C4×D4×C61C2314yes—
642C4×D4×C61C2314yes—
643C4×D4×C61C2314yes—
644C4×D4×C61C2314yes—
645C4×D4×C61C2312yes—
646C4×D4×C61C2312yes—
647C4×D4×C61C2311yescharacteristic
648C4×D4×C61C2312yes—
649C4×D4×C61C2312yes—
650C4×D4×C61C2312yes—
651C4×D4×C61C2312yes—
652C4×D4×C61C2312yes—
653C4×D4×C61C2311yescharacteristic
654C4×D4×C61C2312yes—
655C4×D4×C61C2312yes—
656C4×D4×C61C2312yes—
657C4×D4×C61C2312yes—
658C4×D4×C61C2311yescharacteristic
659C4×D4×C61C2311yescharacteristic
660C4×D4×C61C2312yes—
661C4×D4×C61C2312yes—
662C4×D4×C61C2314yes—
663#117×C61C2312yes—
664#117×C61C2311yescharacteristic
665#117×C61C2312yes—
666#117×C61C2312yes—
667#117×C61C2312yes—
668#117×C61C2311yescharacteristic
669#117×C61C2314yes—
670#117×C61C2312yes—
671#117×C61C2314yes—
672#117×C61C2314yes—
673#117×C61C2314yes—
674#117×C61C2314yes—
675#117×C61C2314yes—
676#117×C61C2314yes—
677#117×C61C2314yes—
678#117×C61C2314yes—
679#117×C61C2312yes—
680#117×C61C2314yes—
681#117×C61C2314yes—
682#117×C61C2314yes—
683#117×C61C2314yes—
684#117×C61C2314yes—
685#117×C61C2311yescharacteristic
686#117×C61C2314yes—
687C2×C4⋊C4×C61C2314yes—
688C2×C4⋊C4×C61C2312yes—
689C2×C4⋊C4×C61C2314yes—
690C2×C4⋊C4×C61C2312yes—
691C2×C4⋊C4×C61C2314yes—
692C2×C4⋊C4×C61C2314yes—
693C2×C4⋊C4×C61C2314yes—
694C2×C4⋊C4×C61C2314yes—
695C2×C4⋊C4×C61C2314yes—
696C2×C4⋊C4×C61C2314yes—
697C2×C4⋊C4×C61C2312yes—
698C2×C4⋊C4×C61C2312yes—
699C2×C22⋊C4×C61C2312yes—
700C2×C22⋊C4×C61C2314yes—
701C2×C22⋊C4×C61C2314yes—
702C2×C22⋊C4×C61C2314yes—
703C2×C22⋊C4×C61C2314yes—
704C2×C22⋊C4×C61C2312yes—
705C2×C22⋊C4×C61C2314yes—
706C2×C22⋊C4×C61C2314yes—
707C2×C42×C61C2312yes—
708C2×C42×C61C2311yescharacteristic
709C2×C42×C61C2312yes—
710C2×C42×C61C2314yes—
711C2×C42×C61C2312yes—
712C24×C61C2412yes—
713C24×C61C2414yes—
714#41×C61—42no—
715#41×C61—44no—
716#41×C61—44no—
717#41×C61—44no—
718#41×C61—44no—
719#41×C61—84no—
720#41×C61—82no—
721#41×C61—84no—
722#41×C61—84no—
723#41×C61—82no—
724#41×C61—82no—
725C2×Q8×C61—42no—
726C2×Q8×C61—44no—
727C2×Q8×C61—84no—
728C2×Q8×C61C2412yes—
729C2×Q8×C61C2412yes—
730C2×Q8×C61C2411yescharacteristic
731C2×Q8×C61C2411yescharacteristic
732C2×Q8×C61C2412yes—
733C2×Q8×C61C2412yes—
734C2×Q8×C61C2414yes—
735C2×Q8×C61C2412yes—
736C2×Q8×C61C2412yes—
737C2×Q8×C61C2412yes—
738C2×Q8×C61C2414yes—
739C2×Q8×C61C2412yes—
740C2×Q8×C61C2411yescharacteristic
741C2×Q8×C61C2414yes—
742C2×Q8×C61C2412yes—
743C2×D4×C61—42no—
744C2×D4×C61—44no—
745C2×D4×C61—84no—
746C2×D4×C61C2412yes—
747C2×D4×C61C2412yes—
748C2×D4×C61C2411yescharacteristic
749C2×D4×C61C2411yescharacteristic
750C2×D4×C61C2414yes—
751C2×D4×C61C2412yes—
752C2×D4×C61C2414yes—
753C2×D4×C61C2412yes—
754C2×D4×C61C2412yes—
755C2×D4×C61C2414yes—
756C2×D4×C61C2414yes—
757C2×D4×C61C2414yes—
758C2×D4×C61C2412yes—
759C2×D4×C61C2414yes—
760C2×D4×C61C2414yes—
761C2×D4×C61C2412yes—
762C2×D4×C61C2414yes—
763C2×D4×C61C2414yes—
764C2×D4×C61C2414yes—
765C2×D4×C61C2412yes—
766C2×D4×C61C2414yes—
767C2×D4×C61C2414yes—
768C2×D4×C61C2412yes—
769C2×D4×C61C2414yes—
770C2×D4×C61C2414yes—
771C2×D4×C61C2414yes—
772C2×D4×C61C2412yes—
773C2×D4×C61C2414yes—
774C2×D4×C61C2411yescharacteristic
775C22×C4×C61—84no—
776C22×C4×C61C2412yes—
777C22×C4×C61C2412yes—
778C22×C4×C61C2411yescharacteristic
779C22×C4×C61C2412yes—
780C22×C4×C61C2411yescharacteristic
781C22×C4×C61C2412yes—
782C22×C4×C61C2411yescharacteristic
783C22×C4×C61C2412yes—
784C22×C4×C61C2414yes—
785C22×C4×C61C2412yes—
786C22×C4×C61C2412yes—
787C22×C4×C61C2412yes—
788C22×C4×C61C2414yes—
789C22×C4×C61C2412yes—
790C22×C4×C61C2414yes—
791C22×C4×C61C2414yes—
792C22×C4×C61C2412yes—
793C22×C4×C61C2414yes—
794C22×C4×C61C2414yes—
795C22×C4×C61C2414yes—
796C22×C4×C61C2414yes—
797C22×C4×C61C2414yes—
798C22×C4×C61C2414yes—
799C22×C4×C61C2414yes—
800C22×C4×C61C2414yes—
801C22×C4×C61C2414yes—
802C22×C4×C61C2414yes—
803C22×C4×C61C2414yes—
804C22×C4×C61C2414yes—
805C4⋊C4×C61C2411yescharacteristic
806C4⋊C4×C61C2414yes—
807C4⋊C4×C61C2414yes—
808C4⋊C4×C61C2414yes—
809C4⋊C4×C61C2412yes—
810C4⋊C4×C61C2414yes—
811C4⋊C4×C61C2412yes—
812C4⋊C4×C61C2412yes—
813C4⋊C4×C61C2412yes—
814C4⋊C4×C61C2412yes—
815C4⋊C4×C61C2412yes—
816C4⋊C4×C61C2414yes—
817C4⋊C4×C61C2412yes—
818C4⋊C4×C61C2411yescharacteristic
819C4⋊C4×C61C2414yes—
820C4⋊C4×C61C2411yescharacteristic
821C4⋊C4×C61C2412yes—
822C4⋊C4×C61C2414yes—
823C4⋊C4×C61C2414yes—
824C4⋊C4×C61C2414yes—
825C4⋊C4×C61C2414yes—
826C4⋊C4×C61C2412yes—
827C4⋊C4×C61C2414yes—
828C4⋊C4×C61C2414yes—
829C4⋊C4×C61C2412yes—
830C4⋊C4×C61C2414yes—
831C4⋊C4×C61C2412yes—
832C4⋊C4×C61C2412yes—
833C4⋊C4×C61C2414yes—
834C4⋊C4×C61C2414yes—
835C4⋊C4×C61C2414yes—
836C4⋊C4×C61C2414yes—
837C4⋊C4×C61C2414yes—
838C4⋊C4×C61C2414yes—
839C4⋊C4×C61C2412yes—
840C4⋊C4×C61C2412yes—
841C4⋊C4×C61C2412yes—
842C4⋊C4×C61C2412yes—
843C4⋊C4×C61C2414yes—
844C4⋊C4×C61C2412yes—
845C4⋊C4×C61C2412yes—
846C4⋊C4×C61C2412yes—
847C4⋊C4×C61C2414yes—
848C4⋊C4×C61C2412yes—
849C4⋊C4×C61C2412yes—
850C4⋊C4×C61C2412yes—
851C4⋊C4×C61C2414yes—
852C4⋊C4×C61C2412yes—
853C4⋊C4×C61C2411yescharacteristic
854C4⋊C4×C61C2411yescharacteristic
855C4⋊C4×C61C2411yescharacteristic
856C4⋊C4×C61C2412yes—
857C4⋊C4×C61C2411yescharacteristic
858C4⋊C4×C61C2411yescharacteristic
859C4⋊C4×C61C2414yes—
860C4⋊C4×C61C2411yescharacteristic
861C4⋊C4×C61C2412yes—
862C4⋊C4×C61C2412yes—
863C4⋊C4×C61C2414yes—
864C4⋊C4×C61C2412yes—
865C4⋊C4×C61C2414yes—
866C4⋊C4×C61C2412yes—
867C4⋊C4×C61C2414yes—
868C4⋊C4×C61C2412yes—
869C4⋊C4×C61C2412yes—
870C4⋊C4×C61C2412yes—
871C4⋊C4×C61C2412yes—
872C4⋊C4×C61C2414yes—
873C4⋊C4×C61C2414yes—
874C4⋊C4×C61C2412yes—
875C4⋊C4×C61C2411yescharacteristic
876C4⋊C4×C61C2412yes—
877C22⋊C4×C61C2412yes—
878C22⋊C4×C61C2414yes—
879C22⋊C4×C61C2412yes—
880C22⋊C4×C61C2412yes—
881C22⋊C4×C61C2412yes—
882C22⋊C4×C61C2412yes—
883C22⋊C4×C61C2414yes—
884C22⋊C4×C61C2414yes—
885C22⋊C4×C61C2412yes—
886C22⋊C4×C61C2414yes—
887C22⋊C4×C61C2414yes—
888C22⋊C4×C61C2414yes—
889C22⋊C4×C61C2414yes—
890C22⋊C4×C61C2414yes—
891C22⋊C4×C61C2414yes—
892C22⋊C4×C61C2414yes—
893C22⋊C4×C61C2414yes—
894C22⋊C4×C61C2414yes—
895C22⋊C4×C61C2414yes—
896C22⋊C4×C61C2414yes—
897C22⋊C4×C61C2414yes—
898C22⋊C4×C61C2414yes—
899C22⋊C4×C61C2414yes—
900C22⋊C4×C61C2414yes—
901C22⋊C4×C61C2414yes—
902C22⋊C4×C61C2412yes—
903C22⋊C4×C61C2412yes—
904C22⋊C4×C61C2414yes—
905C22⋊C4×C61C2414yes—
906C22⋊C4×C61C2412yes—
907C22⋊C4×C61C2414yes—
908C22⋊C4×C61C2414yes—
909C22⋊C4×C61C2412yes—
910C22⋊C4×C61C2412yes—
911C22⋊C4×C61C2412yes—
912C22⋊C4×C61C2414yes—
913C22⋊C4×C61C2412yes—
914C22⋊C4×C61C2414yes—
915C22⋊C4×C61C2414yes—
916C22⋊C4×C61C2412yes—
917C22⋊C4×C61C2412yes—
918C22⋊C4×C61C2412yes—
919C22⋊C4×C61C2414yes—
920C22⋊C4×C61C2412yes—
921C22⋊C4×C61C2412yes—
922C22⋊C4×C61C2412yes—
923C22⋊C4×C61C2414yes—
924C22⋊C4×C61C2414yes—
925C22⋊C4×C61C2414yes—
926C22⋊C4×C61C2414yes—
927C22⋊C4×C61C2412yes—
928C22⋊C4×C61C2412yes—
929C22⋊C4×C61C2414yes—
930C22⋊C4×C61C2414yes—
931C22⋊C4×C61C2414yes—
932C22⋊C4×C61C2412yes—
933C22⋊C4×C61C2412yes—
934C22⋊C4×C61C2414yes—
935C42×C61C2411yescharacteristic
936C42×C61C2412yes—
937C42×C61C2412yes—
938C42×C61C2414yes—
939C42×C61C2414yes—
940C42×C61C2412yes—
941C42×C61C2411yescharacteristic
942C42×C61C2412yes—
943C42×C61C2412yes—
944C42×C61C2412yes—
945C42×C61C2411yescharacteristic
946C42×C61C2412yes—
947C42×C61C2411yescharacteristic
948C42×C61C2412yes—
949C42×C61C2412yes—
950C42×C61C2414yes—
951C42×C61C2412yes—
952C42×C61C2412yes—
953C42×C61C2414yes—
954C42×C61C2414yes—
955C42×C61C2414yes—
956C42×C61C2414yes—
957C42×C61C2414yes—
958C42×C61C2414yes—
959C23×C61—44no—
960C23×C61—44no—
961C23×C61—44no—
962C23×C61—42no—
963C23×C61—42no—
964C23×C61—42no—
965C23×C61C2511yescharacteristic
966C23×C61C2512yes—
967C23×C61C2514yes—
968C23×C61C2514yes—
969C23×C61C2512yes—
970C23×C61C2512yes—
971Q8×C61—24no—
972Q8×C61—24no—
973Q8×C61—22no—
974Q8×C61—44no—
975Q8×C61—42no—
976Q8×C61—42no—
977Q8×C61—42no—
978Q8×C61—44no—
979Q8×C61—44no—
980Q8×C61—41no—
981Q8×C61—42no—
982Q8×C61—42no—
983Q8×C61—42no—
984Q8×C61—41no—
985Q8×C61—42no—
986D4×C61—24no—
987D4×C61—24no—
988D4×C61—22no—
989D4×C61—44no—
990D4×C61—42no—
991D4×C61—42no—
992D4×C61—44no—
993D4×C61—44no—
994D4×C61—44no—
995D4×C61—44no—
996D4×C61—41no—
997D4×C61—42no—
998D4×C61—44no—
999D4×C61—42no—
1000D4×C61—44no—
1001D4×C61—44no—
1002D4×C61—42no—
1003D4×C61—44no—
1004D4×C61—42no—
1005D4×C61—44no—
1006D4×C61—44no—
1007D4×C61—44no—
1008D4×C61—44no—
1009D4×C61—42no—
1010D4×C61—44no—
1011D4×C61—42no—
1012D4×C61—44no—
1013D4×C61—41no—
1014D4×C61—44no—
1015C2×C4×C61—22no—
1016C2×C4×C61—24no—
1017C2×C4×C61—24no—
1018C2×C4×C61—42no—
1019C2×C4×C61—44no—
1020C2×C4×C61—44no—
1021C2×C4×C61—44no—
1022C2×C4×C61—44no—
1023C2×C4×C61—44no—
1024C2×C4×C61—42no—
1025C2×C4×C61—44no—
1026C2×C4×C61—41no—
1027C2×C4×C61—42no—
1028C2×C4×C61—42no—
1029C2×C4×C61—44no—
1030C2×C4×C61—44no—
1031C2×C4×C61—42no—
1032C2×C4×C61—44no—
1033C2×C4×C61—44no—
1034C2×C4×C61—44no—
1035C2×C4×C61—44no—
1036C2×C4×C61—44no—
1037C2×C4×C61—44no—
1038C2×C4×C61—42no—
1039C2×C4×C61—44no—
1040C2×C4×C61—42no—
1041C2×C4×C61—44no—
1042C2×C4×C61—42no—
1043C2×C4×C61—41no—
1044C2×C4×C61C2512yes—
1045C2×C4×C61C2511yescharacteristic
1046C2×C4×C61C2512yes—
1047C2×C4×C61C2512yes—
1048C2×C4×C61C2512yes—
1049C2×C4×C61C2512yes—
1050C2×C4×C61C2511yescharacteristic
1051C2×C4×C61C2514yes—
1052C2×C4×C61C2512yes—
1053C2×C4×C61C2511yescharacteristic
1054C2×C4×C61C2514yes—
1055C2×C4×C61C2512yes—
1056C2×C4×C61C2512yes—
1057C2×C4×C61C2511yescharacteristic
1058C2×C4×C61C2514yes—
1059C2×C4×C61C2512yes—
1060C2×C4×C61C2511yescharacteristic
1061C2×C4×C61C2512yes—
1062C2×C4×C61C2514yes—
1063C2×C4×C61C2512yes—
1064C2×C4×C61C2512yes—
1065C2×C4×C61C2512yes—
1066C2×C4×C61C2511yescharacteristic
1067#63056C6111yesmaximal, characteristic, direct product factor, Sylow
1068C22×C61—22no—
1069C22×C61—21no—
1070C22×C61—22no—
1071C22×C61—22no—
1072C22×C61—24no—
1073C22×C61—24no—
1074C22×C61—24no—
1075C22×C61—22no—
1076C22×C61—22no—
1077C22×C61—22no—
1078C22×C61—24no—
1079C22×C61—21no—
1080C22×C61—22no—
1081C22×C61—22no—
1082C22×C61—22no—
1083C22×C61—24no—
1084C22×C61—21no—
1085C22×C61—24no—
1086C22×C61—88no—
1087C22×C61—162no—
1088C22×C61C2611yescharacteristic
1089C4×C61—22no—
1090C4×C61—22no—
1091C4×C61—21no—
1092C4×C61—22no—
1093C4×C61—24no—
1094C4×C61—24no—
1095C4×C61—22no—
1096C4×C61—22no—
1097C4×C61—22no—
1098C4×C61—22no—
1099C4×C61—24no—
1100C4×C61—21no—
1101C4×C61—24no—
1102C4×C61—21no—
1103C4×C61—22no—
1104C4×C61—22no—
1105C4×C61—21no—
1106C4×C61—22no—
1107C4×C61—22no—
1108C4×C61—22no—
1109C4×C61—21no—
1110C4×C61—22no—
1111C4×C61#58512yes—
1112#3568C2×C6112yescomplemented
1113#3566C2×C6114yescomplemented
1114#3566C2×C6114yescomplemented
1115#3562C2×C6112yescomplemented
1116#3562C2×C6112yescomplemented
1117#3562C2×C6114yescomplemented
1118#3561C2×C6111yescharacteristic, complemented
1119#3559C2×C6112yescomplemented
1120#3558C2×C6111yescharacteristic, complemented
1121#3555C2×C6112yescomplemented
1122#3554C2×C6112yescomplemented
1123#3554C2×C6112yescomplemented
1124#3553C2×C6112yescomplemented
1125#3550C2×C6111yescharacteristic, complemented
1126#3546C2×C6112yescomplemented
1127#3541C2×C6114yescomplemented
1128#3535C2×C6114yescomplemented
1129#3533C2×C6114yescomplemented
1130#3531C2×C6111yescharacteristic, complemented
1131#3529C2×C6112yescomplemented
1132#3522C2×C6112yescomplemented
1133#3520C2×C6112yescomplemented
1134#3517C2×C6111yescharacteristic, complemented
1135#3516C2×C6112yescomplemented
1136#3515C2×C6111yescharacteristic, complemented
1137#3513C2×C6112yescomplemented
1138#3510C2×C6111yescharacteristic, complemented
1139#3507C2×C6112yescomplemented
1140#3506C2×C6112yescomplemented
1141C2×C61—42no—
1142C2×C61—42no—
1143C2×C61—44no—
1144C2×C61—42no—
1145C2×C61—44no—
1146C2×C61—41no—
1147C2×C61C2×#58511yescharacteristic
1148C2×C61H(7,𝔽2)11yescharacteristic
1149C2×C612−1+611yescharacteristic
1150#564C22×C6111yescharacteristic, complemented
1151#563C22×C6114yescomplemented
1152#563C22×C6112yescomplemented
1153#563C22×C6112yescomplemented
1154#563C22×C6112yescomplemented
1155#563C22×C6111yescharacteristic, complemented
1156#563C22×C6112yescomplemented
1157#563C22×C6112yescomplemented
1158#563C22×C6111yescharacteristic, complemented
1159#563C22×C6114yescomplemented
1160#563C22×C6112yescomplemented
1161#563C22×C6112yescomplemented
1162#562C22×C6112yes—
1163#562C22×C6112yes—
1164#562C22×C6111yescharacteristic, complemented
1165#562C22×C6114yescomplemented
1166#562C22×C6114yescomplemented
1167#562C22×C6112yescomplemented
1168#562C22×C6112yescomplemented
1169#562C22×C6114yescomplemented
1170#562C22×C6114yescomplemented
1171#562C22×C6114yescomplemented
1172#562C22×C6114yescomplemented
1173H(3,𝔽4)C22×C6112yes—
1174#560C22×C6114yescomplemented
1175#560C22×C6114yescomplemented
1176#560C22×C6114yescomplemented
1177#560C22×C6114yescomplemented
1178#559C22×C6112yes—
1179#559C22×C6112yes—
1180#559C22×C6112yescomplemented
1181#559C22×C6112yescomplemented
1182#559C22×C6112yescomplemented
1183#559C22×C6112yescomplemented
1184#559C22×C6114yescomplemented
1185#559C22×C6114yescomplemented
1186Q82C22×C6112yescomplemented
1187#557C22×C6111yescharacteristic, complemented
1188#557C22×C6112yescomplemented
1189#557C22×C6112yescomplemented
1190#557C22×C6111yescharacteristic, complemented
1191#556C22×C6112yescomplemented
1192#556C22×C6112yescomplemented
1193#556C22×C6112yescomplemented
1194#556C22×C6112yescomplemented
1195#556C22×C6112yescomplemented
1196#556C22×C6114yescomplemented
1197#556C22×C6112yescomplemented
1198#556C22×C6114yescomplemented
1199#556C22×C6112yescomplemented
1200#556C22×C6114yescomplemented
1201#555C22×C6114yescomplemented
1202#554C22×C6114yescomplemented
1203#554C22×C6112yescomplemented
1204#554C22×C6111yescharacteristic, complemented
1205#554C22×C6111yescharacteristic, complemented
1206#554C22×C6112yescomplemented
1207#554C22×C6114yescomplemented
1208#554C22×C6114yescomplemented
1209#554C22×C6114yescomplemented
1210#553C22×C6112yes—
1211#553C22×C6114yescomplemented
1212#553C22×C6114yescomplemented
1213#553C22×C6112yescomplemented
1214#553C22×C6114yescomplemented
1215#553C22×C6114yescomplemented
1216#553C22×C6114yescomplemented
1217#553C22×C6114yescomplemented
1218#553C22×C6114yescomplemented
1219#553C22×C6114yescomplemented
1220#552C22×C6114yescomplemented
1221#552C22×C6114yescomplemented
1222#552C22×C6112yescomplemented
1223#552C22×C6114yescomplemented
1224#552C22×C6112yescomplemented
1225#552C22×C6114yescomplemented
1226#552C22×C6114yescomplemented
1227#552C22×C6114yescomplemented
1228#551C22×C6114yescomplemented
1229#551C22×C6114yescomplemented
1230#551C22×C6114yescomplemented
1231#551C22×C6114yescomplemented
1232#551C22×C6114yescomplemented
1233#551C22×C6114yescomplemented
1234#551C22×C6114yescomplemented
1235#551C22×C6114yescomplemented
1236#551C22×C6114yescomplemented
1237#550C22×C6112yes—
1238#550C22×C6112yes—
1239#550C22×C6111yescharacteristic, complemented
1240#550C22×C6112yescomplemented
1241#550C22×C6112yescomplemented
1242#550C22×C6111yescharacteristic, complemented
1243D4×Q8C22×C6112yescomplemented
1244D4×Q8C22×C6112yescomplemented
1245D4×Q8C22×C6112yescomplemented
1246#548C22×C6112yes—
1247#548C22×C6112yescomplemented
1248#548C22×C6114yescomplemented
1249#548C22×C6112yescomplemented
1250#548C22×C6112yescomplemented
1251#548C22×C6114yescomplemented
1252#547C22×C6112yes—
1253#547C22×C6114yescomplemented
1254#547C22×C6112yescomplemented
1255#547C22×C6111yescharacteristic, complemented
1256#547C22×C6111yescharacteristic, complemented
1257#547C22×C6112yescomplemented
1258#547C22×C6112yescomplemented
1259#547C22×C6114yescomplemented
1260#547C22×C6114yescomplemented
1261#547C22×C6114yescomplemented
1262#546C22×C6112yes—
1263#546C22×C6112yes—
1264#546C22×C6114yes—
1265#546C22×C6114yescomplemented
1266#546C22×C6112yescomplemented
1267#546C22×C6112yescomplemented
1268#546C22×C6114yescomplemented
1269D42C22×C6112yes—
1270#544C22×C6114yescomplemented
1271#543C22×C6112yescomplemented
1272#542C22×C6112yes—
1273#542C22×C6112yes—
1274#542C22×C6112yescomplemented
1275#542C22×C6112yescomplemented
1276#542C22×C6112yescomplemented
1277#542C22×C6114yescomplemented
1278#542C22×C6112yescomplemented
1279#542C22×C6112yescomplemented
1280#542C22×C6114yescomplemented
1281#542C22×C6114yescomplemented
1282#542C22×C6112yescomplemented
1283#542C22×C6114yescomplemented
1284#542C22×C6114yescomplemented
1285#542C22×C6114yescomplemented
1286#542C22×C6114yescomplemented
1287#541C22×C6112yescomplemented
1288#541C22×C6114yescomplemented
1289#541C22×C6112yescomplemented
1290#541C22×C6114yescomplemented
1291#541C22×C6114yescomplemented
1292#541C22×C6114yescomplemented
1293#540C22×C6112yes—
1294#540C22×C6114yescomplemented
1295#540C22×C6112yescomplemented
1296#540C22×C6114yescomplemented
1297#540C22×C6114yescomplemented
1298#540C22×C6114yescomplemented
1299#539C22×C6114yescomplemented
1300#539C22×C6114yescomplemented
1301#539C22×C6114yescomplemented
1302#539C22×C6114yescomplemented
1303#539C22×C6114yescomplemented
1304#539C22×C6114yescomplemented
1305#539C22×C6114yescomplemented
1306#539C22×C6114yescomplemented
1307#539C22×C6114yescomplemented
1308#539C22×C6114yescomplemented
1309#539C22×C6114yescomplemented
1310#539C22×C6114yescomplemented
1311#538C22×C6114yes—
1312#538C22×C6112yes—
1313#538C22×C6114yescomplemented
1314#538C22×C6114yescomplemented
1315#538C22×C6114yescomplemented
1316#538C22×C6114yescomplemented
1317#538C22×C6114yescomplemented
1318#538C22×C6114yescomplemented
1319#538C22×C6114yescomplemented
1320#538C22×C6114yescomplemented
1321#538C22×C6114yescomplemented
1322#538C22×C6112yescomplemented
1323#537C22×C6114yescomplemented
1324#536C22×C6112yescomplemented
1325#536C22×C6112yescomplemented
1326#536C22×C6111yescharacteristic, complemented
1327#536C22×C6114yescomplemented
1328#536C22×C6114yescomplemented
1329#535C22×C6112yes—
1330#535C22×C6111yescharacteristic
1331#535C22×C6112yescomplemented
1332#535C22×C6114yescomplemented
1333#534C22×C6112yes—
1334#533C22×C6112yescomplemented
1335#533C22×C6112yescomplemented
1336#533C22×C6111yescharacteristic, complemented
1337#533C22×C6111yescharacteristic, complemented
1338#533C22×C6112yescomplemented
1339#532C22×C6112yes—
1340#532C22×C6111yescharacteristic
1341#532C22×C6112yescomplemented
1342#532C22×C6112yescomplemented
1343#532C22×C6114yescomplemented
1344#532C22×C6112yescomplemented
1345#529C22×C6112yes—
1346#529C22×C6111yescharacteristic
1347#529C22×C6114yescomplemented
1348#529C22×C6114yescomplemented
1349#529C22×C6112yescomplemented
1350#529C22×C6112yescomplemented
1351#529C22×C6112yescomplemented
1352#529C22×C6112yescomplemented
1353#529C22×C6114yescomplemented
1354#529C22×C6112yescomplemented
1355#529C22×C6112yescomplemented
1356#529C22×C6114yescomplemented
1357#529C22×C6111yescharacteristic, complemented
1358#529C22×C6112yescomplemented
1359#529C22×C6112yescomplemented
1360#529C22×C6112yescomplemented
1361#529C22×C6114yescomplemented
1362C2×#125C22×C6112yescomplemented
1363C2×#124C22×C6111yescharacteristic
1364#525C22×C6114yescomplemented
1365#525C22×C6114yescomplemented
1366#525C22×C6114yescomplemented
1367#525C22×C6114yescomplemented
1368C2×#123C22×C6114yescomplemented
1369C2×C22⋊Q8C22×C6114yescomplemented
1370#520C22×C6112yescomplemented
1371#520C22×C6112yescomplemented
1372#520C22×C6112yescomplemented
1373#520C22×C6112yescomplemented
1374#519C22×C6111yescharacteristic, complemented
1375#518C22×C6111yescharacteristic
1376C4×#41C22×C6111yescharacteristic, complemented
1377C2×C4×Q8C22×C6112yescomplemented
1378C2×C4×D4C22×C6112yescomplemented
1379C61#6305611yescharacteristic, direct product factor, Sylow
1380C2×#41C23×C6111yescharacteristic
1381C2×#41C23×C6112yes—
1382C2×#41C23×C6112yes—
1383C2×#41C23×C6112yes—
1384C2×#41C23×C6112yes—
1385C2×#41C23×C6114yes—
1386C2×#41C23×C6112yes—
1387C2×#41C23×C6114yes—
1388C2×#41C23×C6112yes—
1389C2×#41C23×C6112yes—
1390C2×#41C23×C6114yes—
1391C22×Q8C23×C6112yes—
1392C22×Q8C23×C6111yescharacteristic
1393C22×Q8C23×C6114yes—
1394C22×D4C23×C6112yes—
1395C22×D4C23×C6111yescharacteristic
1396C22×D4C23×C6114yes—
1397C23×C4C23×C6114yes—
1398C4⋊Q8C23×C6112yes—
1399C4⋊Q8C23×C6111yescharacteristic
1400C4⋊Q8C23×C6112yes—
1401C4⋊Q8C23×C6114yes—
1402C4⋊Q8C23×C6112yes—
1403C4⋊Q8C23×C6112yes—
1404C4⋊Q8C23×C6112yes—
1405C4⋊Q8C23×C6111yescharacteristic
1406C4⋊Q8C23×C6112yes—
1407C4⋊Q8C23×C6112yes—
1408C4⋊Q8C23×C6112yes—
1409C4⋊Q8C23×C6111yescharacteristic
1410C4⋊Q8C23×C6111yescharacteristic
1411C4⋊Q8C23×C6112yes—
1412C4⋊Q8C23×C6111yescharacteristic
1413C4⋊Q8C23×C6112yes—
1414C4⋊Q8C23×C6114yes—
1415C4⋊Q8C23×C6114yes—
1416C4⋊Q8C23×C6114yes—
1417C4⋊Q8C23×C6114yes—
1418#127C23×C6111yescharacteristic
1419#127C23×C6112yes—
1420#127C23×C6112yes—
1421#127C23×C6112yes—
1422#127C23×C6114yes—
1423#127C23×C6112yes—
1424#127C23×C6114yes—
1425#126C23×C6112yes—
1426#126C23×C6114yes—
1427#126C23×C6114yes—
1428#126C23×C6112yes—
1429#126C23×C6112yes—
1430#126C23×C6114yes—
1431#126C23×C6114yes—
1432#126C23×C6114yes—
1433#126C23×C6114yes—
1434#126C23×C6114yes—
1435#126C23×C6114yes—
1436#126C23×C6114yes—
1437#126C23×C6112yes—
1438#126C23×C6112yes—
1439#126C23×C6112yes—
1440#126C23×C6112yes—
1441#126C23×C6114yes—
1442#126C23×C6114yes—
1443#126C23×C6114yes—
1444#126C23×C6114yes—
1445#126C23×C6114yes—
1446#126C23×C6114yes—
1447#126C23×C6114yes—
1448#126C23×C6112yes—
1449#126C23×C6112yes—
1450#126C23×C6112yes—
1451#126C23×C6114yes—
1452#126C23×C6114yes—
1453#126C23×C6114yes—
1454#126C23×C6114yes—
1455#126C23×C6114yes—
1456#126C23×C6114yes—
1457#126C23×C6114yes—
1458#126C23×C6114yes—
1459#126C23×C6114yes—
1460#126C23×C6114yes—
1461#125C23×C6111yescharacteristic
1462#125C23×C6112yes—
1463#125C23×C6114yes—
1464#125C23×C6112yes—
1465#125C23×C6112yes—
1466#125C23×C6114yes—
1467#125C23×C6112yes—
1468#125C23×C6111yescharacteristic
1469#125C23×C6111yescharacteristic
1470#125C23×C6111yescharacteristic
1471#125C23×C6114yes—
1472#125C23×C6112yes—
1473#125C23×C6112yes—
1474#125C23×C6112yes—
1475#125C23×C6114yes—
1476#125C23×C6114yes—
1477#125C23×C6114yes—
1478#125C23×C6114yes—
1479#125C23×C6112yes—
1480#125C23×C6112yes—
1481#125C23×C6114yes—
1482#125C23×C6112yes—
1483#125C23×C6112yes—
1484#125C23×C6112yes—
1485#125C23×C6112yes—
1486#125C23×C6114yes—
1487#125C23×C6114yes—
1488#125C23×C6114yes—
1489#125C23×C6114yes—
1490#125C23×C6114yes—
1491#125C23×C6114yes—
1492#124C23×C6112yes—
1493#124C23×C6112yes—
1494#124C23×C6112yes—
1495#124C23×C6112yes—
1496#124C23×C6111yescharacteristic
1497#124C23×C6112yes—
1498#124C23×C6112yes—
1499#124C23×C6111yescharacteristic
1500#124C23×C6112yes—
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×C6112yes—
1510#124C23×C6112yes—
1511#124C23×C6112yes—
1512#124C23×C6114yes—
1513#124C23×C6112yes—
1514#124C23×C6112yes—
1515#124C23×C6114yes—
1516#124C23×C6114yes—
1517#124C23×C6114yes—
1518#124C23×C6114yes—
1519#124C23×C6114yes—
1520#124C23×C6114yes—
1521#124C23×C6114yes—
1522#124C23×C6114yes—
1523#124C23×C6114yes—
1524#124C23×C6114yes—
1525#124C23×C6114yes—
1526#123C23×C6112yes—
1527#123C23×C6114yes—
1528#123C23×C6114yes—
1529#123C23×C6114yes—
1530#123C23×C6114yes—
1531#123C23×C6114yes—
1532#123C23×C6114yes—
1533#123C23×C6114yes—
1534#123C23×C6112yes—
1535#123C23×C6114yes—
1536#123C23×C6114yes—
1537#123C23×C6114yes—
1538#123C23×C6114yes—
1539#123C23×C6114yes—
1540#123C23×C6114yes—
1541#123C23×C6112yes—
1542#123C23×C6112yes—
1543#123C23×C6112yes—
1544#123C23×C6114yes—
1545#123C23×C6114yes—
1546#123C23×C6114yes—
1547#123C23×C6114yes—
1548#123C23×C6114yes—
1549#123C23×C6112yes—
1550#123C23×C6112yes—
1551#123C23×C6114yes—
1552#123C23×C6114yes—
1553#123C23×C6114yes—
1554#123C23×C6114yes—
1555#123C23×C6114yes—
1556#123C23×C6112yes—
1557#123C23×C6112yes—
1558#123C23×C6112yes—
1559#123C23×C6114yes—
1560#123C23×C6114yes—
1561#123C23×C6114yes—
1562#123C23×C6114yes—
1563#123C23×C6114yes—
1564#123C23×C6114yes—
1565#123C23×C6114yes—
1566#123C23×C6114yes—
1567#123C23×C6114yes—
1568#123C23×C6114yes—
1569#123C23×C6114yes—
1570#123C23×C6114yes—
1571#123C23×C6114yes—
1572#123C23×C6114yes—
1573#123C23×C6114yes—
1574#123C23×C6114yes—
1575#123C23×C6114yes—
1576#123C23×C6114yes—
1577#123C23×C6114yes—
1578#123C23×C6114yes—
1579C22⋊Q8C23×C6112yes—
1580C22⋊Q8C23×C6114yes—
1581C22⋊Q8C23×C6114yes—
1582C22⋊Q8C23×C6114yes—
1583C22⋊Q8C23×C6114yes—
1584C22⋊Q8C23×C6114yes—
1585C22⋊Q8C23×C6114yes—
1586C22⋊Q8C23×C6114yes—
1587C22⋊Q8C23×C6112yes—
1588C22⋊Q8C23×C6112yes—
1589C22⋊Q8C23×C6114yes—
1590C22⋊Q8C23×C6114yes—
1591C22⋊Q8C23×C6114yes—
1592C22⋊Q8C23×C6114yes—
1593C22⋊Q8C23×C6114yes—
1594C22⋊Q8C23×C6111yescharacteristic
1595C22⋊Q8C23×C6112yes—
1596C22⋊Q8C23×C6112yes—
1597C22⋊Q8C23×C6112yes—
1598C22⋊Q8C23×C6112yes—
1599C22⋊Q8C23×C6112yes—
1600C22⋊Q8C23×C6112yes—
1601C22⋊Q8C23×C6112yes—
1602C22⋊Q8C23×C6114yes—
1603C22⋊Q8C23×C6114yes—
1604C22⋊Q8C23×C6112yes—
1605C22⋊Q8C23×C6112yes—
1606C22⋊Q8C23×C6112yes—
1607C22⋊Q8C23×C6112yes—
1608C22⋊Q8C23×C6111yescharacteristic
1609C22⋊Q8C23×C6112yes—
1610C22⋊Q8C23×C6112yes—
1611C22⋊Q8C23×C6112yes—
1612C22⋊Q8C23×C6112yes—
1613C22⋊Q8C23×C6112yes—
1614C22⋊Q8C23×C6112yes—
1615C22⋊Q8C23×C6112yes—
1616C22⋊Q8C23×C6112yes—
1617C22⋊Q8C23×C6112yes—
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—
1632C22⋊Q8C23×C6114yes—
1633C22⋊Q8C23×C6114yes—
1634C22⋊Q8C23×C6114yes—
1635C22⋊Q8C23×C6114yes—
1636C22⋊Q8C23×C6114yes—
1637C22⋊Q8C23×C6114yes—
1638C22⋊Q8C23×C6114yes—
1639#121C23×C6112yes—
1640#121C23×C6114yes—
1641#121C23×C6114yes—
1642#121C23×C6114yes—
1643#121C23×C6114yes—
1644#121C23×C6114yes—
1645#121C23×C6114yes—
1646#121C23×C6111yescharacteristic
1647#121C23×C6112yes—
1648#121C23×C6114yes—
1649#121C23×C6112yes—
1650#121C23×C6114yes—
1651#121C23×C6112yes—
1652#121C23×C6112yes—
1653#121C23×C6112yes—
1654#121C23×C6112yes—
1655#121C23×C6112yes—
1656#121C23×C6111yescharacteristic
1657#121C23×C6114yes—
1658#121C23×C6114yes—
1659#121C23×C6112yes—
1660#121C23×C6112yes—
1661#121C23×C6112yes—
1662#121C23×C6114yes—
1663#121C23×C6112yes—
1664#121C23×C6114yes—
1665#121C23×C6114yes—
1666#121C23×C6114yes—
1667#121C23×C6114yes—
1668#121C23×C6112yes—
1669#121C23×C6114yes—
1670#121C23×C6112yes—
1671#121C23×C6114yes—
1672#121C23×C6114yes—
1673#121C23×C6114yes—
1674#121C23×C6114yes—
1675#121C23×C6114yes—
1676#121C23×C6114yes—
1677#121C23×C6114yes—
1678#121C23×C6114yes—
1679#121C23×C6114yes—
1680#121C23×C6114yes—
1681#121C23×C6114yes—
1682#121C23×C6114yes—
1683#121C23×C6114yes—
1684#121C23×C6114yes—
1685#121C23×C6114yes—
1686#121C23×C6114yes—
1687#121C23×C6114yes—
1688#121C23×C6114yes—
1689#120C23×C6114yes—
1690#120C23×C6114yes—
1691#120C23×C6114yes—
1692#120C23×C6114yes—
1693#120C23×C6114yes—
1694#120C23×C6114yes—
1695#120C23×C6114yes—
1696#120C23×C6114yes—
1697#120C23×C6114yes—
1698#120C23×C6114yes—
1699#120C23×C6114yes—
1700C4×Q8C23×C6112yes—
1701C4×Q8C23×C6112yes—
1702C4×Q8C23×C6112yes—
1703C4×Q8C23×C6114yes—
1704C4×Q8C23×C6112yes—
1705C4×Q8C23×C6114yes—
1706C4×Q8C23×C6111yescharacteristic
1707C4×Q8C23×C6111yescharacteristic
1708C4×Q8C23×C6112yes—
1709C4×Q8C23×C6112yes—
1710C4×Q8C23×C6112yes—
1711C4×Q8C23×C6112yes—
1712C4×Q8C23×C6112yes—
1713C4×Q8C23×C6112yes—
1714C4×Q8C23×C6112yes—
1715C4×Q8C23×C6111yescharacteristic
1716C4×Q8C23×C6112yes—
1717C4×Q8C23×C6112yes—
1718C4×Q8C23×C6112yes—
1719C4×Q8C23×C6111yescharacteristic
1720C4×Q8C23×C6112yes—
1721C4×Q8C23×C6112yes—
1722C4×Q8C23×C6112yes—
1723C4×Q8C23×C6114yes—
1724C4×Q8C23×C6114yes—
1725C4×Q8C23×C6114yes—
1726C4×Q8C23×C6114yes—
1727C4×Q8C23×C6112yes—
1728C4×D4C23×C6112yes—
1729C4×D4C23×C6112yes—
1730C4×D4C23×C6114yes—
1731C4×D4C23×C6114yes—
1732C4×D4C23×C6112yes—
1733C4×D4C23×C6112yes—
1734C4×D4C23×C6111yescharacteristic
1735C4×D4C23×C6112yes—
1736C4×D4C23×C6111yescharacteristic
1737C4×D4C23×C6112yes—
1738C4×D4C23×C6112yes—
1739C4×D4C23×C6112yes—
1740C4×D4C23×C6112yes—
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×C6112yes—
1750C4×D4C23×C6112yes—
1751C4×D4C23×C6112yes—
1752C4×D4C23×C6112yes—
1753C4×D4C23×C6112yes—
1754C4×D4C23×C6114yes—
1755C4×D4C23×C6114yes—
1756C4×D4C23×C6114yes—
1757C4×D4C23×C6114yes—
1758C4×D4C23×C6114yes—
1759C4×D4C23×C6114yes—
1760C4×D4C23×C6112yes—
1761C4×D4C23×C6111yescharacteristic
1762C4×D4C23×C6114yes—
1763C4×D4C23×C6112yes—
1764C4×D4C23×C6112yes—
1765C4×D4C23×C6112yes—
1766C4×D4C23×C6111yescharacteristic
1767C4×D4C23×C6114yes—
1768C4×D4C23×C6114yes—
1769C4×D4C23×C6114yes—
1770C4×D4C23×C6114yes—
1771C4×D4C23×C6114yes—
1772C4×D4C23×C6114yes—
1773C4×D4C23×C6114yes—
1774C4×D4C23×C6114yes—
1775C4×D4C23×C6114yes—
1776C4×D4C23×C6112yes—
1777C4×D4C23×C6114yes—
1778C4×D4C23×C6112yes—
1779C4×D4C23×C6114yes—
1780C4×D4C23×C6114yes—
1781C4×D4C23×C6114yes—
1782C4×D4C23×C6114yes—
1783C4×D4C23×C6114yes—
1784#117C23×C6111yescharacteristic
1785#117C23×C6112yes—
1786#117C23×C6111yescharacteristic
1787#117C23×C6111yescharacteristic
1788#117C23×C6114yes—
1789#117C23×C6112yes—
1790#117C23×C6112yes—
1791#117C23×C6112yes—
1792#117C23×C6112yes—
1793#117C23×C6114yes—
1794#117C23×C6114yes—
1795#117C23×C6114yes—
1796#117C23×C6114yes—
1797#117C23×C6114yes—
1798#117C23×C6114yes—
1799#117C23×C6114yes—
1800#117C23×C6114yes—
1801#117C23×C6114yes—
1802#117C23×C6114yes—
1803#117C23×C6114yes—
1804#117C23×C6114yes—
1805#117C23×C6114yes—
1806#117C23×C6114yes—
1807#117C23×C6112yes—
1808C2×C4⋊C4C23×C6112yes—
1809C2×C4⋊C4C23×C6112yes—
1810C2×C4⋊C4C23×C6114yes—
1811C2×C4⋊C4C23×C6114yes—
1812C2×C4⋊C4C23×C6114yes—
1813C2×C4⋊C4C23×C6114yes—
1814C2×C4⋊C4C23×C6114yes—
1815C2×C4⋊C4C23×C6114yes—
1816C2×C4⋊C4C23×C6114yes—
1817C2×C4⋊C4C23×C6114yes—
1818C2×C4⋊C4C23×C6112yes—
1819C2×C4⋊C4C23×C6112yes—
1820C2×C22⋊C4C23×C6114yes—
1821C2×C22⋊C4C23×C6114yes—
1822C2×C22⋊C4C23×C6114yes—
1823C2×C22⋊C4C23×C6114yes—
1824C2×C22⋊C4C23×C6114yes—
1825C2×C22⋊C4C23×C6114yes—
1826C2×C22⋊C4C23×C6112yes—
1827C2×C22⋊C4C23×C6112yes—
1828C2×C42C23×C6112yes—
1829C2×C42C23×C6114yes—
1830C2×C42C23×C6112yes—
1831C2×C42C23×C6111yescharacteristic
1832C2×C42C23×C6112yes—
1833C24C24×C6112yes—
1834C24C24×C6114yes—
1835#41—42no—
1836#41—44no—
1837#41—44no—
1838#41—44no—
1839#41—44no—
1840#41—84no—
1841#41—82no—
1842#41—84no—
1843#41—84no—
1844#41—82no—
1845#41—82no—
1846C2×Q8—42no—
1847C2×Q8—44no—
1848C2×Q8—84no—
1849C2×Q8C24×C6112yes—
1850C2×Q8C24×C6112yes—
1851C2×Q8C24×C6111yescharacteristic
1852C2×Q8C24×C6111yescharacteristic
1853C2×Q8C24×C6112yes—
1854C2×Q8C24×C6112yes—
1855C2×Q8C24×C6114yes—
1856C2×Q8C24×C6112yes—
1857C2×Q8C24×C6112yes—
1858C2×Q8C24×C6112yes—
1859C2×Q8C24×C6114yes—
1860C2×Q8C24×C6112yes—
1861C2×Q8C24×C6111yescharacteristic
1862C2×Q8C24×C6114yes—
1863C2×Q8C24×C6112yes—
1864C2×D4—42no—
1865C2×D4—44no—
1866C2×D4—84no—
1867C2×D4C24×C6112yes—
1868C2×D4C24×C6112yes—
1869C2×D4C24×C6111yescharacteristic
1870C2×D4C24×C6111yescharacteristic
1871C2×D4C24×C6114yes—
1872C2×D4C24×C6112yes—
1873C2×D4C24×C6112yes—
1874C2×D4C24×C6114yes—
1875C2×D4C24×C6112yes—
1876C2×D4C24×C6114yes—
1877C2×D4C24×C6114yes—
1878C2×D4C24×C6114yes—
1879C2×D4C24×C6112yes—
1880C2×D4C24×C6114yes—
1881C2×D4C24×C6114yes—
1882C2×D4C24×C6112yes—
1883C2×D4C24×C6114yes—
1884C2×D4C24×C6114yes—
1885C2×D4C24×C6112yes—
1886C2×D4C24×C6114yes—
1887C2×D4C24×C6114yes—
1888C2×D4C24×C6114yes—
1889C2×D4C24×C6112yes—
1890C2×D4C24×C6114yes—
1891C2×D4C24×C6114yes—
1892C2×D4C24×C6114yes—
1893C2×D4C24×C6112yes—
1894C2×D4C24×C6111yescharacteristic
1895C2×D4C24×C6114yes—
1896C22×C4—84no—
1897C22×C4C24×C6112yes—
1898C22×C4C24×C6112yes—
1899C22×C4C24×C6111yescharacteristic
1900C22×C4C24×C6112yes—
1901C22×C4C24×C6111yescharacteristic
1902C22×C4C24×C6112yes—
1903C22×C4C24×C6111yescharacteristic
1904C22×C4C24×C6112yes—
1905C22×C4C24×C6114yes—
1906C22×C4C24×C6112yes—
1907C22×C4C24×C6112yes—
1908C22×C4C24×C6112yes—
1909C22×C4C24×C6114yes—
1910C22×C4C24×C6112yes—
1911C22×C4C24×C6114yes—
1912C22×C4C24×C6114yes—
1913C22×C4C24×C6112yes—
1914C22×C4C24×C6114yes—
1915C22×C4C24×C6114yes—
1916C22×C4C24×C6114yes—
1917C22×C4C24×C6114yes—
1918C22×C4C24×C6114yes—
1919C22×C4C24×C6114yes—
1920C22×C4C24×C6114yes—
1921C22×C4C24×C6114yes—
1922C22×C4C24×C6114yes—
1923C22×C4C24×C6114yes—
1924C22×C4C24×C6114yes—
1925C22×C4C24×C6114yes—
1926C4⋊C4C24×C6111yescharacteristic
1927C4⋊C4C24×C6114yes—
1928C4⋊C4C24×C6114yes—
1929C4⋊C4C24×C6114yes—
1930C4⋊C4C24×C6112yes—
1931C4⋊C4C24×C6114yes—
1932C4⋊C4C24×C6112yes—
1933C4⋊C4C24×C6112yes—
1934C4⋊C4C24×C6112yes—
1935C4⋊C4C24×C6112yes—
1936C4⋊C4C24×C6112yes—
1937C4⋊C4C24×C6114yes—
1938C4⋊C4C24×C6112yes—
1939C4⋊C4C24×C6111yescharacteristic
1940C4⋊C4C24×C6114yes—
1941C4⋊C4C24×C6111yescharacteristic
1942C4⋊C4C24×C6112yes—
1943C4⋊C4C24×C6114yes—
1944C4⋊C4C24×C6114yes—
1945C4⋊C4C24×C6114yes—
1946C4⋊C4C24×C6114yes—
1947C4⋊C4C24×C6112yes—
1948C4⋊C4C24×C6114yes—
1949C4⋊C4C24×C6114yes—
1950C4⋊C4C24×C6112yes—
1951C4⋊C4C24×C6114yes—
1952C4⋊C4C24×C6112yes—
1953C4⋊C4C24×C6112yes—
1954C4⋊C4C24×C6114yes—
1955C4⋊C4C24×C6114yes—
1956C4⋊C4C24×C6114yes—
1957C4⋊C4C24×C6114yes—
1958C4⋊C4C24×C6114yes—
1959C4⋊C4C24×C6114yes—
1960C4⋊C4C24×C6112yes—
1961C4⋊C4C24×C6112yes—
1962C4⋊C4C24×C6112yes—
1963C4⋊C4C24×C6112yes—
1964C4⋊C4C24×C6114yes—
1965C4⋊C4C24×C6112yes—
1966C4⋊C4C24×C6112yes—
1967C4⋊C4C24×C6112yes—
1968C4⋊C4C24×C6114yes—
1969C4⋊C4C24×C6112yes—
1970C4⋊C4C24×C6112yes—
1971C4⋊C4C24×C6112yes—
1972C4⋊C4C24×C6114yes—
1973C4⋊C4C24×C6112yes—
1974C4⋊C4C24×C6111yescharacteristic
1975C4⋊C4C24×C6111yescharacteristic
1976C4⋊C4C24×C6111yescharacteristic
1977C4⋊C4C24×C6112yes—
1978C4⋊C4C24×C6111yescharacteristic
1979C4⋊C4C24×C6111yescharacteristic
1980C4⋊C4C24×C6114yes—
1981C4⋊C4C24×C6111yescharacteristic
1982C4⋊C4C24×C6112yes—
1983C4⋊C4C24×C6112yes—
1984C4⋊C4C24×C6114yes—
1985C4⋊C4C24×C6112yes—
1986C4⋊C4C24×C6112yes—
1987C4⋊C4C24×C6114yes—
1988C4⋊C4C24×C6114yes—
1989C4⋊C4C24×C6112yes—
1990C4⋊C4C24×C6112yes—
1991C4⋊C4C24×C6112yes—
1992C4⋊C4C24×C6112yes—
1993C4⋊C4C24×C6114yes—
1994C4⋊C4C24×C6114yes—
1995C4⋊C4C24×C6112yes—
1996C4⋊C4C24×C6111yescharacteristic
1997C4⋊C4C24×C6112yes—
1998C22⋊C4C24×C6112yes—
1999C22⋊C4C24×C6114yes—
2000C22⋊C4C24×C6112yes—
2001C22⋊C4C24×C6112yes—
2002C22⋊C4C24×C6112yes—
2003C22⋊C4C24×C6112yes—
2004C22⋊C4C24×C6114yes—
2005C22⋊C4C24×C6114yes—
2006C22⋊C4C24×C6112yes—
2007C22⋊C4C24×C6114yes—
2008C22⋊C4C24×C6114yes—
2009C22⋊C4C24×C6114yes—
2010C22⋊C4C24×C6114yes—
2011C22⋊C4C24×C6114yes—
2012C22⋊C4C24×C6114yes—
2013C22⋊C4C24×C6114yes—
2014C22⋊C4C24×C6114yes—
2015C22⋊C4C24×C6114yes—
2016C22⋊C4C24×C6114yes—
2017C22⋊C4C24×C6114yes—
2018C22⋊C4C24×C6114yes—
2019C22⋊C4C24×C6114yes—
2020C22⋊C4C24×C6114yes—
2021C22⋊C4C24×C6114yes—
2022C22⋊C4C24×C6114yes—
2023C22⋊C4C24×C6112yes—
2024C22⋊C4C24×C6112yes—
2025C22⋊C4C24×C6114yes—
2026C22⋊C4C24×C6114yes—
2027C22⋊C4C24×C6112yes—
2028C22⋊C4C24×C6114yes—
2029C22⋊C4C24×C6114yes—
2030C22⋊C4C24×C6112yes—
2031C22⋊C4C24×C6112yes—
2032C22⋊C4C24×C6112yes—
2033C22⋊C4C24×C6114yes—
2034C22⋊C4C24×C6112yes—
2035C22⋊C4C24×C6114yes—
2036C22⋊C4C24×C6114yes—
2037C22⋊C4C24×C6112yes—
2038C22⋊C4C24×C6112yes—
2039C22⋊C4C24×C6112yes—
2040C22⋊C4C24×C6114yes—
2041C22⋊C4C24×C6112yes—
2042C22⋊C4C24×C6112yes—
2043C22⋊C4C24×C6112yes—
2044C22⋊C4C24×C6114yes—
2045C22⋊C4C24×C6114yes—
2046C22⋊C4C24×C6114yes—
2047C22⋊C4C24×C6114yes—
2048C22⋊C4C24×C6112yes—
2049C22⋊C4C24×C6112yes—
2050C22⋊C4C24×C6114yes—
2051C22⋊C4C24×C6114yes—
2052C22⋊C4C24×C6114yes—
2053C22⋊C4C24×C6112yes—
2054C22⋊C4C24×C6112yes—
2055C22⋊C4C24×C6114yes—
2056C42C24×C6111yescharacteristic
2057C42C24×C6112yes—
2058C42C24×C6112yes—
2059C42C24×C6114yes—
2060C42C24×C6114yes—
2061C42C24×C6112yes—
2062C42C24×C6111yescharacteristic
2063C42C24×C6112yes—
2064C42C24×C6112yes—
2065C42C24×C6112yes—
2066C42C24×C6111yescharacteristic
2067C42C24×C6112yes—
2068C42C24×C6111yescharacteristic
2069C42C24×C6112yes—
2070C42C24×C6112yes—
2071C42C24×C6114yes—
2072C42C24×C6112yes—
2073C42C24×C6112yes—
2074C42C24×C6114yes—
2075C42C24×C6114yes—
2076C42C24×C6114yes—
2077C42C24×C6114yes—
2078C42C24×C6114yes—
2079C42C24×C6114yes—
2080C23—44no—
2081C23—44no—
2082C23—44no—
2083C23—42no—
2084C23—42no—
2085C23—42no—
2086C23C25×C6111yescharacteristic
2087C23C25×C6112yes—
2088C23C25×C6114yes—
2089C23C25×C6114yes—
2090C23C25×C6112yes—
2091C23C25×C6112yes—
2092Q8—24no—
2093Q8—24no—
2094Q8—22no—
2095Q8—44no—
2096Q8—42no—
2097Q8—42no—
2098Q8—42no—
2099Q8—44no—
2100Q8—44no—
2101Q8—41no—
2102Q8—42no—
2103Q8—42no—
2104Q8—42no—
2105Q8—41no—
2106Q8—42no—
2107D4—24no—
2108D4—24no—
2109D4—22no—
2110D4—44no—
2111D4—42no—
2112D4—42no—
2113D4—44no—
2114D4—44no—
2115D4—44no—
2116D4—44no—
2117D4—41no—
2118D4—42no—
2119D4—44no—
2120D4—42no—
2121D4—44no—
2122D4—44no—
2123D4—42no—
2124D4—44no—
2125D4—42no—
2126D4—44no—
2127D4—44no—
2128D4—44no—
2129D4—44no—
2130D4—42no—
2131D4—44no—
2132D4—42no—
2133D4—44no—
2134D4—41no—
2135D4—44no—
2136C2×C4—22no—
2137C2×C4—24no—
2138C2×C4—24no—
2139C2×C4—42no—
2140C2×C4—44no—
2141C2×C4—44no—
2142C2×C4—44no—
2143C2×C4—44no—
2144C2×C4—44no—
2145C2×C4—42no—
2146C2×C4—44no—
2147C2×C4—41no—
2148C2×C4—42no—
2149C2×C4—42no—
2150C2×C4—44no—
2151C2×C4—44no—
2152C2×C4—42no—
2153C2×C4—44no—
2154C2×C4—44no—
2155C2×C4—44no—
2156C2×C4—44no—
2157C2×C4—44no—
2158C2×C4—44no—
2159C2×C4—42no—
2160C2×C4—44no—
2161C2×C4—42no—
2162C2×C4—44no—
2163C2×C4—42no—
2164C2×C4—41no—
2165C2×C4C25×C6112yes—
2166C2×C4C25×C6111yescharacteristic
2167C2×C4C25×C6112yes—
2168C2×C4C25×C6112yes—
2169C2×C4C25×C6112yes—
2170C2×C4C25×C6112yes—
2171C2×C4C25×C6111yescharacteristic
2172C2×C4C25×C6114yes—
2173C2×C4C25×C6112yes—
2174C2×C4C25×C6111yescharacteristic
2175C2×C4C25×C6114yes—
2176C2×C4C25×C6112yes—
2177C2×C4C25×C6112yes—
2178C2×C4C25×C6111yescharacteristic
2179C2×C4C25×C6114yes—
2180C2×C4C25×C6112yes—
2181C2×C4C25×C6111yescharacteristic
2182C2×C4C25×C6112yes—
2183C2×C4C25×C6114yes—
2184C2×C4C25×C6112yes—
2185C2×C4C25×C6112yes—
2186C2×C4C25×C6112yes—
2187C2×C4C25×C6111yescharacteristic
2188C22—22no—
2189C22—21no—
2190C22—22no—
2191C22—22no—
2192C22—24no—
2193C22—24no—
2194C22—24no—
2195C22—22no—
2196C22—22no—
2197C22—22no—
2198C22—24no—
2199C22—21no—
2200C22—22no—
2201C22—22no—
2202C22—22no—
2203C22—24no—
2204C22—21no—
2205C22—24no—
2206C22—88no—
2207C22—162no—
2208C22C26×C6111yescharacteristic
2209C4—22no—
2210C4—22no—
2211C4—21no—
2212C4—22no—
2213C4—24no—
2214C4—24no—
2215C4—22no—
2216C4—22no—
2217C4—22no—
2218C4—22no—
2219C4—24no—
2220C4—21no—
2221C4—24no—
2222C4—21no—
2223C4—22no—
2224C4—22no—
2225C4—21no—
2226C4—22no—
2227C4—22no—
2228C4—22no—
2229C4—21no—
2230C4—22no—
2231C4C61×#58512yes—
2232C2—42no—
2233C2—44no—
2234C2—44no—
2235C2—41no—
2236C2—42no—
2237C2—42no—
2238C2C2×C61×#58511yescharacteristic
2239C2C61×H(7,𝔽2)11yescharacteristic
2240C2C61×2−1+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×#3562C2semidirect
5. C61×#3562C2semidirect
6. C61×#3562C2semidirect
7. C61×#3561C2semidirect
8. C61×#3559C2semidirect
9. C61×#3558C2semidirect
10. C61×#3555C2semidirect
11. C61×#3554C2semidirect
12. C61×#3554C2semidirect
13. C61×#3553C2semidirect
14. C61×#3550C2semidirect
15. C61×#3546C2semidirect
16. C61×#3541C2semidirect
17. C61×#3535C2semidirect
18. C61×#3533C2semidirect
19. C61×#3531C2semidirect
20. C61×#3529C2semidirect
21. C61×#3522C2semidirect
22. C61×#3520C2semidirect
23. C61×#3517C2semidirect
24. C61×#3516C2semidirect
25. C61×#3515C2semidirect
26. C61×#3513C2semidirect
27. C61×#3510C2semidirect
28. C61×#3507C2semidirect
29. C61×#3506C2semidirect
30. C61×#564C22semidirect
31. C61×#563C22semidirect
32. C61×#563C22semidirect
33. C61×#563C22semidirect
34. C61×#563C22semidirect
35. C61×#563C22semidirect
36. C61×#563C22semidirect
37. C61×#563C22semidirect
38. C61×#563C22semidirect
39. C61×#563C22semidirect
40. C61×#563C22semidirect
41. C61×#563C22semidirect
44. C61×#562C22semidirect
45. C61×#562C22semidirect
46. C61×#562C22semidirect
47. C61×#562C22semidirect
48. C61×#562C22semidirect
49. C61×#562C22semidirect
50. C61×#562C22semidirect
51. C61×#562C22semidirect
52. C61×#562C22semidirect
54. C61×#560C22semidirect
55. C61×#560C22semidirect
56. C61×#560C22semidirect
57. C61×#560C22semidirect
60. C61×#559C22semidirect
61. C61×#559C22semidirect
62. C61×#559C22semidirect
63. C61×#559C22semidirect
64. C61×#559C22semidirect
65. C61×#559C22semidirect
66. Q82×C61C22semidirect
67. C61×#557C22semidirect
68. C61×#557C22semidirect
69. C61×#557C22semidirect
70. C61×#557C22semidirect
71. C61×#556C22semidirect
72. C61×#556C22semidirect
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×#555C22semidirect
82. C61×#554C22semidirect
83. C61×#554C22semidirect
84. C61×#554C22semidirect
85. C61×#554C22semidirect
86. C61×#554C22semidirect
87. C61×#554C22semidirect
88. C61×#554C22semidirect
89. C61×#554C22semidirect
91. C61×#553C22semidirect
92. C61×#553C22semidirect
93. C61×#553C22semidirect
94. C61×#553C22semidirect
95. C61×#553C22semidirect
96. C61×#553C22semidirect
97. C61×#553C22semidirect
98. C61×#553C22semidirect
99. C61×#553C22semidirect
100. C61×#552C22semidirect
101. C61×#552C22semidirect
102. C61×#552C22semidirect
103. C61×#552C22semidirect
104. C61×#552C22semidirect
105. C61×#552C22semidirect
106. C61×#552C22semidirect
107. C61×#552C22semidirect
108. C61×#551C22semidirect
109. C61×#551C22semidirect
110. C61×#551C22semidirect
111. C61×#551C22semidirect
112. C61×#551C22semidirect
113. C61×#551C22semidirect
114. C61×#551C22semidirect
115. C61×#551C22semidirect
116. C61×#551C22semidirect
119. C61×#550C22semidirect
120. C61×#550C22semidirect
121. C61×#550C22semidirect
122. C61×#550C22semidirect
123. D4×Q8×C61C22semidirect
124. D4×Q8×C61C22semidirect
125. D4×Q8×C61C22semidirect
127. C61×#548C22semidirect
128. C61×#548C22semidirect
129. C61×#548C22semidirect
130. C61×#548C22semidirect
131. C61×#548C22semidirect
133. C61×#547C22semidirect
134. C61×#547C22semidirect
135. C61×#547C22semidirect
136. C61×#547C22semidirect
137. C61×#547C22semidirect
138. C61×#547C22semidirect
139. C61×#547C22semidirect
140. C61×#547C22semidirect
141. C61×#547C22semidirect
145. C61×#546C22semidirect
146. C61×#546C22semidirect
147. C61×#546C22semidirect
148. C61×#546C22semidirect
150. C61×#544C22semidirect
151. C61×#543C22semidirect
154. C61×#542C22semidirect
155. C61×#542C22semidirect
156. C61×#542C22semidirect
157. C61×#542C22semidirect
158. C61×#542C22semidirect
159. C61×#542C22semidirect
160. C61×#542C22semidirect
161. C61×#542C22semidirect
162. C61×#542C22semidirect
163. C61×#542C22semidirect
164. C61×#542C22semidirect
165. C61×#542C22semidirect
166. C61×#542C22semidirect
167. C61×#541C22semidirect
168. C61×#541C22semidirect
169. C61×#541C22semidirect
170. C61×#541C22semidirect
171. C61×#541C22semidirect
172. C61×#541C22semidirect
174. C61×#540C22semidirect
175. C61×#540C22semidirect
176. C61×#540C22semidirect
177. C61×#540C22semidirect
178. C61×#540C22semidirect
179. C61×#539C22semidirect
180. C61×#539C22semidirect
181. C61×#539C22semidirect
182. C61×#539C22semidirect
183. C61×#539C22semidirect
184. C61×#539C22semidirect
185. C61×#539C22semidirect
186. C61×#539C22semidirect
187. C61×#539C22semidirect
188. C61×#539C22semidirect
189. C61×#539C22semidirect
190. C61×#539C22semidirect
193. C61×#538C22semidirect
194. C61×#538C22semidirect
195. C61×#538C22semidirect
196. C61×#538C22semidirect
197. C61×#538C22semidirect
198. C61×#538C22semidirect
199. C61×#538C22semidirect
200. C61×#538C22semidirect
201. C61×#538C22semidirect
202. C61×#538C22semidirect
203. C61×#537C22semidirect
204. C61×#536C22semidirect
205. C61×#536C22semidirect
206. C61×#536C22semidirect
207. C61×#536C22semidirect
208. C61×#536C22semidirect
211. C61×#535C22semidirect
212. C61×#535C22semidirect
214. C61×#533C22semidirect
215. C61×#533C22semidirect
216. C61×#533C22semidirect
217. C61×#533C22semidirect
218. C61×#533C22semidirect
221. C61×#532C22semidirect
222. C61×#532C22semidirect
223. C61×#532C22semidirect
224. C61×#532C22semidirect
227. C61×#529C22semidirect
228. C61×#529C22semidirect
229. C61×#529C22semidirect
230. C61×#529C22semidirect
231. C61×#529C22semidirect
232. C61×#529C22semidirect
233. C61×#529C22semidirect
234. C61×#529C22semidirect
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
244. C61×#525C22semidirect
245. C61×#525C22semidirect
246. C61×#525C22semidirect
247. C61×#525C22semidirect
248. C2×#123×C61C22semidirect
249. C2×C22⋊Q8×C61C22semidirect
250. C61×#520C22semidirect
251. C61×#520C22semidirect
252. C61×#520C22semidirect
253. C61×#520C22semidirect
254. C61×#519C22semidirect
256. C4×#41×C61C22semidirect
257. C2×C4×Q8×C61C22semidirect
258. C2×C4×D4×C61C22semidirect
1067. #63056C61direct (N × H)
1112. #3568C2×C61semidirect
1113. #3566C2×C61semidirect
1114. #3566C2×C61semidirect
1115. #3562C2×C61semidirect
1116. #3562C2×C61semidirect
1117. #3562C2×C61semidirect
1118. #3561C2×C61semidirect
1119. #3559C2×C61semidirect
1120. #3558C2×C61semidirect
1121. #3555C2×C61semidirect
1122. #3554C2×C61semidirect
1123. #3554C2×C61semidirect
1124. #3553C2×C61semidirect
1125. #3550C2×C61semidirect
1126. #3546C2×C61semidirect
1127. #3541C2×C61semidirect
1128. #3535C2×C61semidirect
1129. #3533C2×C61semidirect
1130. #3531C2×C61semidirect
1131. #3529C2×C61semidirect
1132. #3522C2×C61semidirect
1133. #3520C2×C61semidirect
1134. #3517C2×C61semidirect
1135. #3516C2×C61semidirect
1136. #3515C2×C61semidirect
1137. #3513C2×C61semidirect
1138. #3510C2×C61semidirect
1139. #3507C2×C61semidirect
1140. #3506C2×C61semidirect
1150. #564C22×C61semidirect
1151. #563C22×C61semidirect
1152. #563C22×C61semidirect
1153. #563C22×C61semidirect
1154. #563C22×C61semidirect
1155. #563C22×C61semidirect
1156. #563C22×C61semidirect
1157. #563C22×C61semidirect
1158. #563C22×C61semidirect
1159. #563C22×C61semidirect
1160. #563C22×C61semidirect
1161. #563C22×C61semidirect
1164. #562C22×C61semidirect
1165. #562C22×C61semidirect
1166. #562C22×C61semidirect
1167. #562C22×C61semidirect
1168. #562C22×C61semidirect
1169. #562C22×C61semidirect
1170. #562C22×C61semidirect
1171. #562C22×C61semidirect
1172. #562C22×C61semidirect
1174. #560C22×C61semidirect
1175. #560C22×C61semidirect
1176. #560C22×C61semidirect
1177. #560C22×C61semidirect
1180. #559C22×C61semidirect
1181. #559C22×C61semidirect
1182. #559C22×C61semidirect
1183. #559C22×C61semidirect
1184. #559C22×C61semidirect
1185. #559C22×C61semidirect
1186. Q82C22×C61semidirect
1187. #557C22×C61semidirect
1188. #557C22×C61semidirect
1189. #557C22×C61semidirect
1190. #557C22×C61semidirect
1191. #556C22×C61semidirect
1192. #556C22×C61semidirect
1193. #556C22×C61semidirect
1194. #556C22×C61semidirect
1195. #556C22×C61semidirect
1196. #556C22×C61semidirect
1197. #556C22×C61semidirect
1198. #556C22×C61semidirect
1199. #556C22×C61semidirect
1200. #556C22×C61semidirect
1201. #555C22×C61semidirect
1202. #554C22×C61semidirect
1203. #554C22×C61semidirect
1204. #554C22×C61semidirect
1205. #554C22×C61semidirect
1206. #554C22×C61semidirect
1207. #554C22×C61semidirect
1208. #554C22×C61semidirect
1209. #554C22×C61semidirect
1211. #553C22×C61semidirect
1212. #553C22×C61semidirect
1213. #553C22×C61semidirect
1214. #553C22×C61semidirect
1215. #553C22×C61semidirect
1216. #553C22×C61semidirect
1217. #553C22×C61semidirect
1218. #553C22×C61semidirect
1219. #553C22×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. #551C22×C61semidirect
1229. #551C22×C61semidirect
1230. #551C22×C61semidirect
1231. #551C22×C61semidirect
1232. #551C22×C61semidirect
1233. #551C22×C61semidirect
1234. #551C22×C61semidirect
1235. #551C22×C61semidirect
1236. #551C22×C61semidirect
1239. #550C22×C61semidirect
1240. #550C22×C61semidirect
1241. #550C22×C61semidirect
1242. #550C22×C61semidirect
1243. D4×Q8C22×C61semidirect
1244. D4×Q8C22×C61semidirect
1245. D4×Q8C22×C61semidirect
1247. #548C22×C61semidirect
1248. #548C22×C61semidirect
1249. #548C22×C61semidirect
1250. #548C22×C61semidirect
1251. #548C22×C61semidirect
1253. #547C22×C61semidirect
1254. #547C22×C61semidirect
1255. #547C22×C61semidirect
1256. #547C22×C61semidirect
1257. #547C22×C61semidirect
1258. #547C22×C61semidirect
1259. #547C22×C61semidirect
1260. #547C22×C61semidirect
1261. #547C22×C61semidirect
1265. #546C22×C61semidirect
1266. #546C22×C61semidirect
1267. #546C22×C61semidirect
1268. #546C22×C61semidirect
1270. #544C22×C61semidirect
1271. #543C22×C61semidirect
1274. #542C22×C61semidirect
1275. #542C22×C61semidirect
1276. #542C22×C61semidirect
1277. #542C22×C61semidirect
1278. #542C22×C61semidirect
1279. #542C22×C61semidirect
1280. #542C22×C61semidirect
1281. #542C22×C61semidirect
1282. #542C22×C61semidirect
1283. #542C22×C61semidirect
1284. #542C22×C61semidirect
1285. #542C22×C61semidirect
1286. #542C22×C61semidirect
1287. #541C22×C61semidirect
1288. #541C22×C61semidirect
1289. #541C22×C61semidirect
1290. #541C22×C61semidirect
1291. #541C22×C61semidirect
1292. #541C22×C61semidirect
1294. #540C22×C61semidirect
1295. #540C22×C61semidirect
1296. #540C22×C61semidirect
1297. #540C22×C61semidirect
1298. #540C22×C61semidirect
1299. #539C22×C61semidirect
1300. #539C22×C61semidirect
1301. #539C22×C61semidirect
1302. #539C22×C61semidirect
1303. #539C22×C61semidirect
1304. #539C22×C61semidirect
1305. #539C22×C61semidirect
1306. #539C22×C61semidirect
1307. #539C22×C61semidirect
1308. #539C22×C61semidirect
1309. #539C22×C61semidirect
1310. #539C22×C61semidirect
1313. #538C22×C61semidirect
1314. #538C22×C61semidirect
1315. #538C22×C61semidirect
1316. #538C22×C61semidirect
1317. #538C22×C61semidirect
1318. #538C22×C61semidirect
1319. #538C22×C61semidirect
1320. #538C22×C61semidirect
1321. #538C22×C61semidirect
1322. #538C22×C61semidirect
1323. #537C22×C61semidirect
1324. #536C22×C61semidirect
1325. #536C22×C61semidirect
1326. #536C22×C61semidirect
1327. #536C22×C61semidirect
1328. #536C22×C61semidirect
1331. #535C22×C61semidirect
1332. #535C22×C61semidirect
1334. #533C22×C61semidirect
1335. #533C22×C61semidirect
1336. #533C22×C61semidirect
1337. #533C22×C61semidirect
1338. #533C22×C61semidirect
1341. #532C22×C61semidirect
1342. #532C22×C61semidirect
1343. #532C22×C61semidirect
1344. #532C22×C61semidirect
1347. #529C22×C61semidirect
1348. #529C22×C61semidirect
1349. #529C22×C61semidirect
1350. #529C22×C61semidirect
1351. #529C22×C61semidirect
1352. #529C22×C61semidirect
1353. #529C22×C61semidirect
1354. #529C22×C61semidirect
1355. #529C22×C61semidirect
1356. #529C22×C61semidirect
1357. #529C22×C61semidirect
1358. #529C22×C61semidirect
1359. #529C22×C61semidirect
1360. #529C22×C61semidirect
1361. #529C22×C61semidirect
1362. C2×#125C22×C61semidirect
1364. #525C22×C61semidirect
1365. #525C22×C61semidirect
1366. #525C22×C61semidirect
1367. #525C22×C61semidirect
1368. C2×#123C22×C61semidirect
1369. C2×C22⋊Q8C22×C61semidirect
1370. #520C22×C61semidirect
1371. #520C22×C61semidirect
1372. #520C22×C61semidirect
1373. #520C22×C61semidirect
1374. #519C22×C61semidirect
1376. C4×#41C22×C61semidirect
1377. C2×C4×Q8C22×C61semidirect
1378. C2×C4×D4C22×C61semidirect
1379. C61#63056direct (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×#35622
C61×#35612
C61×#35592
C61×#35582
C61×#35552
C61×#35542
C61×#35532
C61×#35502
C61×#35462
C61×#35412
C61×#35352
C61×#35332
C61×#35312
C61×#35292
C61×#35222
C61×#35202
C61×#35172
C61×#35162
C61×#35152
C61×#35132
C61×#35102
C61×#35072
C61×#35062
#6305661