Finite Group Databasebeta

← C61×#62948 #29566381

Subgroups — C61×#62948 #29566381

Order 15616.

6586 conjugacy classes of subgroups.

The subgroup lattice has 2244 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3565C212yesmaximal, complemented
2C61×#3564C214yesmaximal, complemented
3C61×#3563C211yesmaximal, characteristic, complemented
4C61×#3559C211yesmaximal, characteristic, complemented
5C61×#3559C212yesmaximal, complemented
6C61×#3557C212yesmaximal, complemented
7C61×#3554C212yesmaximal, complemented
8C61×#3553C214yesmaximal, complemented
9C61×#3552C212yesmaximal, complemented
10C61×#3541C214yesmaximal, complemented
11C61×#3538C212yesmaximal, complemented
12C61×#3536C212yesmaximal, complemented
13C61×#3535C214yesmaximal, complemented
14C61×#3535C214yesmaximal, complemented
15C61×#3521C212yesmaximal, complemented
16C61×#3520C211yesmaximal, characteristic, complemented
17C61×#3520C214yesmaximal, complemented
18C61×#3519C211yesmaximal, characteristic, complemented
19C61×#3515C212yesmaximal, complemented
20C61×#3513C212yesmaximal, complemented
21C61×#3513C212yesmaximal, complemented
22C61×#3507C211yesmaximal, characteristic, complemented
23C61×#3504C212yesmaximal, complemented
24C61×#3501C212yesmaximal, complemented
25C61×#3492C212yesmaximal, complemented
26C61×#3481C212yesmaximal, complemented
27C2×C61×#554C211yesmaximal, characteristic, complemented
28C61×#3461C211yesmaximal, characteristic, complemented
29C2×C61×#539C212yesmaximal, complemented
30C61×#564C2212yescomplemented
31C61×#563C2214yescomplemented
32C61×#563C2214yescomplemented
33C61×#563C2214yescomplemented
34C61×#563C2214yescomplemented
35C61×#563C2212yescomplemented
36C61×#563C2214yescomplemented
37C61×#563C2212yescomplemented
38C61×#563C2214yescomplemented
39C61×#562C2214yescomplemented
40C61×#562C2214yescomplemented
41C61×#562C2214yescomplemented
42C61×#562C2212yescomplemented
43C61×#562C2214yescomplemented
44C61×#559C2212yescomplemented
45C61×#559C2212yescomplemented
46C61×#559C2212yescomplemented
47C61×#557C2212yescomplemented
48C61×#557C2212yescomplemented
49C61×#557C2212yescomplemented
50C61×#557C2212yescomplemented
51C61×#556C2212yescomplemented
52C61×#556C2211yescharacteristic, complemented
53C61×#556C2212yescomplemented
54C61×#556C2214yescomplemented
55C61×#556C2214yescomplemented
56C61×#555C2211yescharacteristic
57C61×#554C2212yes—
58C61×#554C2212yes—
59C61×#554C2212yes—
60C61×#554C2212yes—
61C61×#554C2211yescharacteristic
62C61×#554C2212yescomplemented
63C61×#554C2212yescomplemented
64C61×#554C2214yescomplemented
65C61×#554C2214yescomplemented
66C61×#554C2214yescomplemented
67C61×#554C2214yescomplemented
68C61×#554C2212yescomplemented
69C61×#554C2212yescomplemented
70C61×#554C2212yescomplemented
71C61×#554C2212yescomplemented
72C61×#554C2212yescomplemented
73C61×#554C2214yescomplemented
74C61×#554C2214yescomplemented
75C61×#554C2214yescomplemented
76C61×#554C2214yescomplemented
77C61×#554C2214yescomplemented
78C61×#553C2212yes—
79C61×#553C2212yes—
80C61×#553C2212yescomplemented
81C61×#553C2214yescomplemented
82C61×#553C2214yescomplemented
83C61×#553C2214yescomplemented
84C61×#553C2212yescomplemented
85C61×#553C2212yescomplemented
86C61×#553C2212yescomplemented
87C61×#553C2212yescomplemented
88C61×#553C2214yescomplemented
89C61×#552C2214yescomplemented
90C61×#552C2214yescomplemented
91C61×#552C2214yescomplemented
92C61×#552C2214yescomplemented
93C61×#552C2214yescomplemented
94C61×#552C2212yescomplemented
95C61×#552C2212yescomplemented
96C61×#552C2214yescomplemented
97C61×#552C2212yescomplemented
98C61×#552C2214yescomplemented
99C61×#552C2214yescomplemented
100C61×#552C2212yescomplemented
101C61×#552C2214yescomplemented
102C61×#551C2214yescomplemented
103C61×#551C2214yescomplemented
104C61×#551C2214yescomplemented
105C61×#551C2214yescomplemented
106C61×#551C2214yescomplemented
107C61×#551C2214yescomplemented
108C61×#551C2214yescomplemented
109C61×#551C2214yescomplemented
110C61×#551C2214yescomplemented
111C61×#550C2211yescharacteristic
112D4×Q8×C61C2211yescharacteristic
113D4×Q8×C61C2212yescomplemented
114D4×Q8×C61C2214yescomplemented
115D4×Q8×C61C2214yescomplemented
116C61×#548C2214yescomplemented
117C61×#548C2214yescomplemented
118C61×#548C2212yescomplemented
119C61×#547C2211yescharacteristic
120C61×#547C2212yescomplemented
121C61×#547C2214yescomplemented
122C61×#547C2211yescharacteristic, complemented
123C61×#547C2214yescomplemented
124C61×#547C2212yescomplemented
125C61×#547C2214yescomplemented
126C61×#547C2214yescomplemented
127C61×#547C2214yescomplemented
128C61×#546C2212yes—
129C61×#546C2212yes—
130C61×#546C2212yes—
131C61×#546C2214yes—
132C61×#546C2212yes—
133C61×#546C2214yescomplemented
134C61×#546C2214yescomplemented
135C61×#546C2214yescomplemented
136D42×C61C2212yes—
137D42×C61C2211yescharacteristic
138C61×#544C2212yescomplemented
139C61×#544C2212yescomplemented
140C61×#544C2212yescomplemented
141C61×#544C2212yescomplemented
142C61×#544C2212yescomplemented
143C61×#544C2214yescomplemented
144C61×#544C2211yescharacteristic, complemented
145C61×#544C2214yescomplemented
146C61×#543C2214yescomplemented
147C61×#543C2214yescomplemented
148C61×#542C2212yescomplemented
149C61×#542C2212yescomplemented
150C61×#542C2214yescomplemented
151C61×#542C2212yescomplemented
152C61×#542C2214yescomplemented
153C61×#542C2212yescomplemented
154C61×#542C2214yescomplemented
155C61×#542C2214yescomplemented
156C61×#542C2214yescomplemented
157C61×#542C2212yescomplemented
158C61×#542C2212yescomplemented
159C61×#541C2214yescomplemented
160C61×#541C2212yescomplemented
161C61×#541C2214yescomplemented
162C61×#541C2214yescomplemented
163C61×#541C2212yescomplemented
164C61×#541C2214yescomplemented
165C61×#541C2212yescomplemented
166C61×#540C2212yes—
167C61×#540C2212yescomplemented
168C61×#540C2212yescomplemented
169C61×#539C2212yes—
170C61×#539C2211yescharacteristic
171C61×#539C2214yescomplemented
172C61×#539C2214yescomplemented
173C61×#539C2214yescomplemented
174C61×#539C2214yescomplemented
175C61×#539C2214yescomplemented
176C61×#539C2214yescomplemented
177C61×#539C2214yescomplemented
178C61×#539C2214yescomplemented
179C61×#539C2214yescomplemented
180C61×#539C2214yescomplemented
181C61×#539C2214yescomplemented
182C61×#539C2214yescomplemented
183C61×#539C2214yescomplemented
184C61×#539C2214yescomplemented
185C61×#539C2212yescomplemented
186C61×#539C2214yescomplemented
187C61×#539C2212yescomplemented
188C61×#539C2214yescomplemented
189C61×#539C2211yescharacteristic, complemented
190C61×#539C2212yescomplemented
191C61×#539C2212yescomplemented
192C61×#539C2214yescomplemented
193C61×#538C2214yes—
194C61×#538C2214yescomplemented
195C61×#538C2214yescomplemented
196C61×#538C2214yescomplemented
197C61×#537C2211yescharacteristic
198C61×#537C2212yescomplemented
199C61×#537C2214yescomplemented
200C61×#536C2214yescomplemented
201C61×#536C2214yescomplemented
202C61×#536C2212yescomplemented
203C61×#536C2212yescomplemented
204C61×#533C2212yescomplemented
205C61×#533C2212yescomplemented
206C61×#533C2211yescharacteristic, complemented
207C61×#533C2214yescomplemented
208C61×#533C2212yescomplemented
209C61×#532C2211yescharacteristic
210C61×#532C2212yescomplemented
211C2×C4⋊Q8×C61C2211yescharacteristic, complemented
212C61×#529C2211yescharacteristic
213C61×#529C2212yescomplemented
214C61×#529C2212yescomplemented
215C61×#529C2214yescomplemented
216C61×#529C2214yescomplemented
217C61×#529C2212yescomplemented
218C61×#529C2212yescomplemented
219C61×#529C2212yescomplemented
220C61×#529C2211yescharacteristic, complemented
221C61×#529C2212yescomplemented
222C61×#529C2212yescomplemented
223C61×#529C2212yescomplemented
224C2×#126×C61C2214yescomplemented
225C2×#125×C61C2214yescomplemented
226C2×#125×C61C2211yescharacteristic, complemented
227C2×#125×C61C2212yescomplemented
228C2×#125×C61C2211yescharacteristic, complemented
229C61×#525C2212yes—
230C61×#525C2214yescomplemented
231C61×#525C2214yescomplemented
232C61×#525C2214yescomplemented
233C61×#525C2212yescomplemented
234C61×#525C2214yescomplemented
235C2×#123×C61C2214yescomplemented
236C2×#123×C61C2214yescomplemented
237C2×C22⋊Q8×C61C2214yescomplemented
238C2×C22⋊Q8×C61C2212yescomplemented
239C2×C22⋊Q8×C61C2212yescomplemented
240C2×C22⋊Q8×C61C2212yescomplemented
241C2×C22⋊Q8×C61C2212yescomplemented
242C2×C22⋊Q8×C61C2214yescomplemented
243C2×#121×C61C2212yes—
244C61×#520C2212yes—
245C61×#520C2212yes—
246C61×#520C2214yescomplemented
247C61×#520C2212yescomplemented
248C61×#518C2212yes—
249C61×#518C2212yes—
250C4×#41×C61C2212yes—
251C4×#41×C61C2212yescomplemented
252C2×C4×Q8×C61C2211yescharacteristic, complemented
253C2×C4×D4×C61C2211yescharacteristic
254C2×C4×D4×C61C2211yescharacteristic
255C2×C4×D4×C61C2211yescharacteristic
256C2×C4×D4×C61C2212yes—
257C2×C4×D4×C61C2214yescomplemented
258C22×C4⋊C4×C61C2212yescomplemented
259C2×#41×C61C2312yes—
260C2×#41×C61C2312yes—
261C2×#41×C61C2312yes—
262C2×#41×C61C2314yes—
263C2×#41×C61C2314yes—
264C2×#41×C61C2312yes—
265C2×#41×C61C2314yes—
266C2×#41×C61C2312yes—
267C22×Q8×C61C2311yescharacteristic
268C22×Q8×C61C2312yes—
269C22×Q8×C61C2314yes—
270C22×Q8×C61C2312yes—
271C22×D4×C61C2311yescharacteristic
272C22×D4×C61C2312yes—
273C22×D4×C61C2314yes—
274C22×D4×C61C2312yes—
275C23×C4×C61C2312yes—
276C23×C4×C61C2312yes—
277C23×C4×C61C2312yes—
278C23×C4×C61C2314yes—
279C4⋊Q8×C61C2314yes—
280C4⋊Q8×C61C2312yes—
281C4⋊Q8×C61C2312yes—
282C4⋊Q8×C61C2311yescharacteristic
283C4⋊Q8×C61C2312yes—
284C4⋊Q8×C61C2312yes—
285C4⋊Q8×C61C2312yes—
286C4⋊Q8×C61C2312yes—
287C4⋊Q8×C61C2311yescharacteristic
288C4⋊Q8×C61C2312yes—
289C4⋊Q8×C61C2312yes—
290C4⋊Q8×C61C2312yes—
291C4⋊Q8×C61C2311yescharacteristic
292C4⋊Q8×C61C2314yes—
293C4⋊Q8×C61C2314yes—
294C4⋊Q8×C61C2314yes—
295C4⋊Q8×C61C2314yes—
296C4⋊Q8×C61C2314yes—
297C4⋊Q8×C61C2314yes—
298C4⋊Q8×C61C2314yes—
299C4⋊Q8×C61C2314yes—
300#127×C61C2311yescharacteristic
301#127×C61C2312yes—
302#126×C61C2312yes—
303#126×C61C2314yes—
304#126×C61C2314yes—
305#126×C61C2314yes—
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×C61C2312yes—
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×C61C2314yes—
327#126×C61C2314yes—
328#126×C61C2314yes—
329#126×C61C2312yes—
330#126×C61C2314yes—
331#126×C61C2314yes—
332#126×C61C2312yes—
333#126×C61C2314yes—
334#126×C61C2312yes—
335#125×C61C2312yes—
336#125×C61C2312yes—
337#125×C61C2314yes—
338#125×C61C2312yes—
339#125×C61C2312yes—
340#125×C61C2312yes—
341#125×C61C2312yes—
342#125×C61C2312yes—
343#125×C61C2314yes—
344#125×C61C2314yes—
345#125×C61C2314yes—
346#125×C61C2312yes—
347#125×C61C2312yes—
348#125×C61C2314yes—
349#125×C61C2314yes—
350#125×C61C2314yes—
351#125×C61C2314yes—
352#125×C61C2314yes—
353#125×C61C2312yes—
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×C61C2312yes—
365#125×C61C2312yes—
366#125×C61C2312yes—
367#125×C61C2314yes—
368#125×C61C2311yescharacteristic
369#125×C61C2311yescharacteristic
370#125×C61C2314yes—
371#125×C61C2312yes—
372#125×C61C2312yes—
373#125×C61C2312yes—
374#125×C61C2314yes—
375#125×C61C2312yes—
376#125×C61C2312yes—
377#125×C61C2312yes—
378#124×C61C2312yes—
379#124×C61C2314yes—
380#124×C61C2312yes—
381#124×C61C2312yes—
382#124×C61C2314yes—
383#124×C61C2314yes—
384#124×C61C2314yes—
385#124×C61C2312yes—
386#124×C61C2314yes—
387#124×C61C2314yes—
388#124×C61C2314yes—
389#124×C61C2314yes—
390#124×C61C2314yes—
391#124×C61C2311yescharacteristic
392#124×C61C2312yes—
393#124×C61C2312yes—
394#124×C61C2314yes—
395#124×C61C2311yescharacteristic
396#124×C61C2312yes—
397#123×C61C2314yes—
398#123×C61C2314yes—
399#123×C61C2312yes—
400#123×C61C2314yes—
401#123×C61C2314yes—
402#123×C61C2312yes—
403#123×C61C2314yes—
404#123×C61C2314yes—
405#123×C61C2314yes—
406#123×C61C2312yes—
407#123×C61C2314yes—
408#123×C61C2312yes—
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×C61C2312yes—
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×C61C2314yes—
435#123×C61C2314yes—
436#123×C61C2314yes—
437#123×C61C2312yes—
438#123×C61C2314yes—
439#123×C61C2312yes—
440#123×C61C2312yes—
441#123×C61C2314yes—
442#123×C61C2314yes—
443#123×C61C2314yes—
444C22⋊Q8×C61C2312yes—
445C22⋊Q8×C61C2312yes—
446C22⋊Q8×C61C2312yes—
447C22⋊Q8×C61C2312yes—
448C22⋊Q8×C61C2314yes—
449C22⋊Q8×C61C2312yes—
450C22⋊Q8×C61C2312yes—
451C22⋊Q8×C61C2314yes—
452C22⋊Q8×C61C2312yes—
453C22⋊Q8×C61C2312yes—
454C22⋊Q8×C61C2312yes—
455C22⋊Q8×C61C2314yes—
456C22⋊Q8×C61C2314yes—
457C22⋊Q8×C61C2312yes—
458C22⋊Q8×C61C2314yes—
459C22⋊Q8×C61C2314yes—
460C22⋊Q8×C61C2312yes—
461C22⋊Q8×C61C2314yes—
462C22⋊Q8×C61C2314yes—
463C22⋊Q8×C61C2314yes—
464C22⋊Q8×C61C2314yes—
465C22⋊Q8×C61C2314yes—
466C22⋊Q8×C61C2314yes—
467C22⋊Q8×C61C2314yes—
468C22⋊Q8×C61C2314yes—
469C22⋊Q8×C61C2312yes—
470C22⋊Q8×C61C2314yes—
471C22⋊Q8×C61C2314yes—
472C22⋊Q8×C61C2314yes—
473C22⋊Q8×C61C2314yes—
474C22⋊Q8×C61C2314yes—
475C22⋊Q8×C61C2314yes—
476C22⋊Q8×C61C2314yes—
477C22⋊Q8×C61C2314yes—
478C22⋊Q8×C61C2314yes—
479C22⋊Q8×C61C2314yes—
480C22⋊Q8×C61C2314yes—
481C22⋊Q8×C61C2311yescharacteristic
482C22⋊Q8×C61C2314yes—
483C22⋊Q8×C61C2314yes—
484C22⋊Q8×C61C2312yes—
485C22⋊Q8×C61C2314yes—
486C22⋊Q8×C61C2314yes—
487C22⋊Q8×C61C2312yes—
488C22⋊Q8×C61C2314yes—
489C22⋊Q8×C61C2314yes—
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×C61C2311yescharacteristic
502C22⋊Q8×C61C2314yes—
503C22⋊Q8×C61C2312yes—
504C22⋊Q8×C61C2314yes—
505C22⋊Q8×C61C2314yes—
506C22⋊Q8×C61C2312yes—
507C22⋊Q8×C61C2312yes—
508C22⋊Q8×C61C2314yes—
509C22⋊Q8×C61C2312yes—
510C22⋊Q8×C61C2314yes—
511C22⋊Q8×C61C2312yes—
512C22⋊Q8×C61C2314yes—
513C22⋊Q8×C61C2314yes—
514C22⋊Q8×C61C2314yes—
515C22⋊Q8×C61C2314yes—
516C22⋊Q8×C61C2314yes—
517C22⋊Q8×C61C2312yes—
518C22⋊Q8×C61C2314yes—
519#121×C61C2312yes—
520#121×C61C2312yes—
521#121×C61C2314yes—
522#121×C61C2312yes—
523#121×C61C2312yes—
524#121×C61C2312yes—
525#121×C61C2311yescharacteristic
526#121×C61C2311yescharacteristic
527#121×C61C2312yes—
528#121×C61C2312yes—
529#121×C61C2314yes—
530#121×C61C2314yes—
531#121×C61C2314yes—
532#121×C61C2314yes—
533#121×C61C2314yes—
534#121×C61C2314yes—
535#121×C61C2314yes—
536#121×C61C2314yes—
537#121×C61C2314yes—
538#121×C61C2314yes—
539#121×C61C2312yes—
540#121×C61C2314yes—
541#121×C61C2314yes—
542#121×C61C2314yes—
543#121×C61C2314yes—
544#121×C61C2312yes—
545#121×C61C2314yes—
546#121×C61C2312yes—
547#121×C61C2312yes—
548#121×C61C2314yes—
549#121×C61C2312yes—
550#121×C61C2312yes—
551#121×C61C2312yes—
552#121×C61C2314yes—
553#120×C61C2314yes—
554#120×C61C2314yes—
555#120×C61C2314yes—
556#120×C61C2314yes—
557#120×C61C2314yes—
558#120×C61C2314yes—
559C4×Q8×C61C2311yescharacteristic
560C4×Q8×C61C2312yes—
561C4×Q8×C61C2311yescharacteristic
562C4×Q8×C61C2312yes—
563C4×Q8×C61C2312yes—
564C4×Q8×C61C2314yes—
565C4×Q8×C61C2314yes—
566C4×Q8×C61C2314yes—
567C4×Q8×C61C2314yes—
568C4×Q8×C61C2314yes—
569C4×Q8×C61C2312yes—
570C4×Q8×C61C2314yes—
571C4×Q8×C61C2312yes—
572C4×Q8×C61C2312yes—
573C4×Q8×C61C2312yes—
574C4×Q8×C61C2314yes—
575C4×Q8×C61C2312yes—
576C4×Q8×C61C2312yes—
577C4×Q8×C61C2312yes—
578C4×Q8×C61C2312yes—
579C4×Q8×C61C2312yes—
580C4×Q8×C61C2312yes—
581C4×Q8×C61C2312yes—
582C4×D4×C61C2312yes—
583C4×D4×C61C2312yes—
584C4×D4×C61C2314yes—
585C4×D4×C61C2312yes—
586C4×D4×C61C2312yes—
587C4×D4×C61C2312yes—
588C4×D4×C61C2314yes—
589C4×D4×C61C2314yes—
590C4×D4×C61C2314yes—
591C4×D4×C61C2314yes—
592C4×D4×C61C2314yes—
593C4×D4×C61C2314yes—
594C4×D4×C61C2314yes—
595C4×D4×C61C2312yes—
596C4×D4×C61C2314yes—
597C4×D4×C61C2314yes—
598C4×D4×C61C2312yes—
599C4×D4×C61C2312yes—
600C4×D4×C61C2314yes—
601C4×D4×C61C2314yes—
602C4×D4×C61C2314yes—
603C4×D4×C61C2314yes—
604C4×D4×C61C2314yes—
605C4×D4×C61C2312yes—
606C4×D4×C61C2314yes—
607C4×D4×C61C2314yes—
608C4×D4×C61C2314yes—
609C4×D4×C61C2314yes—
610C4×D4×C61C2314yes—
611C4×D4×C61C2314yes—
612C4×D4×C61C2314yes—
613C4×D4×C61C2314yes—
614C4×D4×C61C2314yes—
615C4×D4×C61C2314yes—
616C4×D4×C61C2314yes—
617C4×D4×C61C2314yes—
618C4×D4×C61C2314yes—
619C4×D4×C61C2311yescharacteristic
620C4×D4×C61C2312yes—
621C4×D4×C61C2312yes—
622C4×D4×C61C2312yes—
623C4×D4×C61C2312yes—
624C4×D4×C61C2311yescharacteristic
625C4×D4×C61C2312yes—
626C4×D4×C61C2311yescharacteristic
627C4×D4×C61C2312yes—
628C4×D4×C61C2311yescharacteristic
629C4×D4×C61C2312yes—
630C4×D4×C61C2312yes—
631C4×D4×C61C2312yes—
632C4×D4×C61C2312yes—
633C4×D4×C61C2312yes—
634C4×D4×C61C2312yes—
635C4×D4×C61C2312yes—
636C4×D4×C61C2311yescharacteristic
637C4×D4×C61C2311yescharacteristic
638C4×D4×C61C2314yes—
639C4×D4×C61C2314yes—
640C4×D4×C61C2314yes—
641#117×C61C2312yes—
642#117×C61C2312yes—
643#117×C61C2312yes—
644#117×C61C2312yes—
645#117×C61C2312yes—
646#117×C61C2314yes—
647#117×C61C2314yes—
648#117×C61C2312yes—
649#117×C61C2312yes—
650#117×C61C2314yes—
651#117×C61C2314yes—
652#117×C61C2312yes—
653#117×C61C2312yes—
654#117×C61C2312yes—
655#117×C61C2314yes—
656#117×C61C2312yes—
657#117×C61C2314yes—
658#117×C61C2312yes—
659#117×C61C2314yes—
660#117×C61C2314yes—
661#117×C61C2314yes—
662#117×C61C2312yes—
663#117×C61C2314yes—
664#117×C61C2314yes—
665#117×C61C2314yes—
666C2×C4⋊C4×C61C2312yes—
667C2×C4⋊C4×C61C2311yescharacteristic
668C2×C4⋊C4×C61C2311yescharacteristic
669C2×C4⋊C4×C61C2311yescharacteristic
670C2×C4⋊C4×C61C2312yes—
671C2×C4⋊C4×C61C2314yes—
672C2×C4⋊C4×C61C2311yescharacteristic
673C2×C4⋊C4×C61C2314yes—
674C2×C4⋊C4×C61C2314yes—
675C2×C4⋊C4×C61C2314yes—
676C2×C4⋊C4×C61C2314yes—
677C2×C4⋊C4×C61C2314yes—
678C2×C4⋊C4×C61C2312yes—
679C2×C4⋊C4×C61C2311yescharacteristic
680C2×C4⋊C4×C61C2314yes—
681C2×C4⋊C4×C61C2314yes—
682C2×C4⋊C4×C61C2314yes—
683C2×C4⋊C4×C61C2312yes—
684C2×C4⋊C4×C61C2312yes—
685C2×C4⋊C4×C61C2312yes—
686C2×C4⋊C4×C61C2312yes—
687C2×C4⋊C4×C61C2311yescharacteristic
688C2×C4⋊C4×C61C2312yes—
689C2×C4⋊C4×C61C2312yes—
690C2×C4⋊C4×C61C2312yes—
691C2×C4⋊C4×C61C2314yes—
692C2×C4⋊C4×C61C2314yes—
693C2×C4⋊C4×C61C2314yes—
694C2×C4⋊C4×C61C2314yes—
695C2×C22⋊C4×C61C2314yes—
696C2×C22⋊C4×C61C2314yes—
697C2×C22⋊C4×C61C2314yes—
698C2×C22⋊C4×C61C2314yes—
699C2×C22⋊C4×C61C2314yes—
700C2×C22⋊C4×C61C2312yes—
701C2×C22⋊C4×C61C2314yes—
702C2×C22⋊C4×C61C2314yes—
703C2×C22⋊C4×C61C2314yes—
704C2×C22⋊C4×C61C2312yes—
705C2×C22⋊C4×C61C2312yes—
706C2×C42×C61C2311yescharacteristic
707C2×C42×C61C2311yescharacteristic
708C2×C42×C61C2312yes—
709C2×C42×C61C2312yes—
710C2×C42×C61C2314yes—
711C2×C42×C61C2311yescharacteristic
712C24×C61C2412yes—
713C24×C61C2414yes—
714#41×C61—28no—
715#41×C61—48no—
716#41×C61—44no—
717#41×C61—44no—
718#41×C61—84no—
719#41×C61—82no—
720#41×C61—84no—
721#41×C61—82no—
722C2×Q8×C61—42no—
723C2×Q8×C61—82no—
724C2×Q8×C61—82no—
725C2×Q8×C61—84no—
726C2×Q8×C61C2412yes—
727C2×Q8×C61C2412yes—
728C2×Q8×C61C2414yes—
729C2×Q8×C61C2412yes—
730C2×Q8×C61C2412yes—
731C2×Q8×C61C2412yes—
732C2×Q8×C61C2411yescharacteristic
733C2×Q8×C61C2414yes—
734C2×Q8×C61C2412yes—
735C2×Q8×C61C2414yes—
736C2×Q8×C61C2414yes—
737C2×Q8×C61C2414yes—
738C2×Q8×C61C2412yes—
739C2×Q8×C61C2411yescharacteristic
740C2×D4×C61—24no—
741C2×D4×C61—28no—
742C2×D4×C61—48no—
743C2×D4×C61—82no—
744C2×D4×C61C2414yes—
745C2×D4×C61C2412yes—
746C2×D4×C61C2414yes—
747C2×D4×C61C2412yes—
748C2×D4×C61C2411yescharacteristic
749C2×D4×C61C2412yes—
750C2×D4×C61C2414yes—
751C2×D4×C61C2412yes—
752C2×D4×C61C2412yes—
753C2×D4×C61C2412yes—
754C2×D4×C61C2414yes—
755C2×D4×C61C2414yes—
756C2×D4×C61C2414yes—
757C2×D4×C61C2412yes—
758C2×D4×C61C2414yes—
759C2×D4×C61C2414yes—
760C2×D4×C61C2414yes—
761C2×D4×C61C2414yes—
762C2×D4×C61C2411yescharacteristic
763C2×D4×C61C2411yescharacteristic
764C2×D4×C61C2412yes—
765C2×D4×C61C2411yescharacteristic
766C22×C4×C61—44no—
767C22×C4×C61—82no—
768C22×C4×C61—84no—
769C22×C4×C61—82no—
770C22×C4×C61C2411yescharacteristic
771C22×C4×C61C2414yes—
772C22×C4×C61C2411yescharacteristic
773C22×C4×C61C2411yescharacteristic
774C22×C4×C61C2411yescharacteristic
775C22×C4×C61C2412yes—
776C22×C4×C61C2412yes—
777C22×C4×C61C2412yes—
778C22×C4×C61C2411yescharacteristic
779C22×C4×C61C2412yes—
780C22×C4×C61C2414yes—
781C22×C4×C61C2414yes—
782C22×C4×C61C2411yescharacteristic
783C22×C4×C61C2411yescharacteristic
784C22×C4×C61C2412yes—
785C22×C4×C61C2412yes—
786C22×C4×C61C2412yes—
787C22×C4×C61C2414yes—
788C22×C4×C61C2412yes—
789C22×C4×C61C2414yes—
790C22×C4×C61C2412yes—
791C22×C4×C61C2412yes—
792C22×C4×C61C2414yes—
793C22×C4×C61C2414yes—
794C22×C4×C61C2414yes—
795C22×C4×C61C2414yes—
796C22×C4×C61C2414yes—
797C22×C4×C61C2412yes—
798C22×C4×C61C2414yes—
799C22×C4×C61C2414yes—
800C22×C4×C61C2414yes—
801C22×C4×C61C2414yes—
802C22×C4×C61C2412yes—
803C22×C4×C61C2412yes—
804C22×C4×C61C2414yes—
805C22×C4×C61C2414yes—
806C4⋊C4×C61C2412yes—
807C4⋊C4×C61C2412yes—
808C4⋊C4×C61C2414yes—
809C4⋊C4×C61C2414yes—
810C4⋊C4×C61C2412yes—
811C4⋊C4×C61C2411yescharacteristic
812C4⋊C4×C61C2414yes—
813C4⋊C4×C61C2414yes—
814C4⋊C4×C61C2414yes—
815C4⋊C4×C61C2414yes—
816C4⋊C4×C61C2414yes—
817C4⋊C4×C61C2412yes—
818C4⋊C4×C61C2412yes—
819C4⋊C4×C61C2412yes—
820C4⋊C4×C61C2412yes—
821C4⋊C4×C61C2412yes—
822C4⋊C4×C61C2414yes—
823C4⋊C4×C61C2412yes—
824C4⋊C4×C61C2412yes—
825C4⋊C4×C61C2414yes—
826C4⋊C4×C61C2414yes—
827C4⋊C4×C61C2412yes—
828C4⋊C4×C61C2414yes—
829C4⋊C4×C61C2414yes—
830C4⋊C4×C61C2411yescharacteristic
831C4⋊C4×C61C2411yescharacteristic
832C4⋊C4×C61C2414yes—
833C4⋊C4×C61C2414yes—
834C4⋊C4×C61C2412yes—
835C4⋊C4×C61C2414yes—
836C4⋊C4×C61C2412yes—
837C4⋊C4×C61C2411yescharacteristic
838C4⋊C4×C61C2412yes—
839C4⋊C4×C61C2412yes—
840C4⋊C4×C61C2414yes—
841C4⋊C4×C61C2414yes—
842C4⋊C4×C61C2414yes—
843C4⋊C4×C61C2414yes—
844C4⋊C4×C61C2412yes—
845C4⋊C4×C61C2414yes—
846C4⋊C4×C61C2414yes—
847C4⋊C4×C61C2412yes—
848C4⋊C4×C61C2414yes—
849C4⋊C4×C61C2414yes—
850C4⋊C4×C61C2412yes—
851C4⋊C4×C61C2412yes—
852C4⋊C4×C61C2412yes—
853C4⋊C4×C61C2414yes—
854C4⋊C4×C61C2414yes—
855C4⋊C4×C61C2414yes—
856C4⋊C4×C61C2414yes—
857C4⋊C4×C61C2414yes—
858C4⋊C4×C61C2414yes—
859C4⋊C4×C61C2414yes—
860C4⋊C4×C61C2414yes—
861C4⋊C4×C61C2412yes—
862C4⋊C4×C61C2412yes—
863C4⋊C4×C61C2414yes—
864C4⋊C4×C61C2412yes—
865C4⋊C4×C61C2412yes—
866C4⋊C4×C61C2412yes—
867C4⋊C4×C61C2411yescharacteristic
868C4⋊C4×C61C2411yescharacteristic
869C4⋊C4×C61C2414yes—
870C4⋊C4×C61C2414yes—
871C4⋊C4×C61C2412yes—
872C4⋊C4×C61C2412yes—
873C4⋊C4×C61C2412yes—
874C4⋊C4×C61C2412yes—
875C4⋊C4×C61C2412yes—
876C4⋊C4×C61C2412yes—
877C4⋊C4×C61C2414yes—
878C4⋊C4×C61C2412yes—
879C4⋊C4×C61C2412yes—
880C4⋊C4×C61C2414yes—
881C4⋊C4×C61C2412yes—
882C4⋊C4×C61C2412yes—
883C4⋊C4×C61C2412yes—
884C4⋊C4×C61C2412yes—
885C22⋊C4×C61C2412yes—
886C22⋊C4×C61C2414yes—
887C22⋊C4×C61C2414yes—
888C22⋊C4×C61C2414yes—
889C22⋊C4×C61C2412yes—
890C22⋊C4×C61C2412yes—
891C22⋊C4×C61C2412yes—
892C22⋊C4×C61C2414yes—
893C22⋊C4×C61C2414yes—
894C22⋊C4×C61C2412yes—
895C22⋊C4×C61C2412yes—
896C22⋊C4×C61C2412yes—
897C22⋊C4×C61C2412yes—
898C22⋊C4×C61C2412yes—
899C22⋊C4×C61C2414yes—
900C22⋊C4×C61C2414yes—
901C22⋊C4×C61C2414yes—
902C22⋊C4×C61C2414yes—
903C22⋊C4×C61C2414yes—
904C22⋊C4×C61C2414yes—
905C22⋊C4×C61C2414yes—
906C22⋊C4×C61C2414yes—
907C22⋊C4×C61C2414yes—
908C22⋊C4×C61C2412yes—
909C22⋊C4×C61C2414yes—
910C22⋊C4×C61C2414yes—
911C22⋊C4×C61C2414yes—
912C22⋊C4×C61C2414yes—
913C22⋊C4×C61C2412yes—
914C22⋊C4×C61C2414yes—
915C22⋊C4×C61C2414yes—
916C22⋊C4×C61C2414yes—
917C22⋊C4×C61C2414yes—
918C22⋊C4×C61C2414yes—
919C22⋊C4×C61C2412yes—
920C22⋊C4×C61C2412yes—
921C22⋊C4×C61C2412yes—
922C22⋊C4×C61C2414yes—
923C22⋊C4×C61C2414yes—
924C22⋊C4×C61C2414yes—
925C22⋊C4×C61C2414yes—
926C22⋊C4×C61C2412yes—
927C22⋊C4×C61C2414yes—
928C22⋊C4×C61C2414yes—
929C22⋊C4×C61C2412yes—
930C22⋊C4×C61C2412yes—
931C22⋊C4×C61C2414yes—
932C22⋊C4×C61C2412yes—
933C22⋊C4×C61C2412yes—
934C22⋊C4×C61C2412yes—
935C22⋊C4×C61C2414yes—
936C22⋊C4×C61C2412yes—
937C22⋊C4×C61C2412yes—
938C42×C61C2412yes—
939C42×C61C2412yes—
940C42×C61C2412yes—
941C42×C61C2414yes—
942C42×C61C2412yes—
943C42×C61C2412yes—
944C42×C61C2411yescharacteristic
945C42×C61C2412yes—
946C42×C61C2412yes—
947C42×C61C2411yescharacteristic
948C42×C61C2412yes—
949C42×C61C2414yes—
950C42×C61C2412yes—
951C42×C61C2412yes—
952C42×C61C2411yescharacteristic
953C42×C61C2414yes—
954C42×C61C2411yescharacteristic
955C42×C61C2414yes—
956C42×C61C2414yes—
957C42×C61C2414yes—
958C42×C61C2414yes—
959C42×C61C2414yes—
960C42×C61C2414yes—
961C23×C61—24no—
962C23×C61—24no—
963C23×C61—28no—
964C23×C61—42no—
965C23×C61—44no—
966C23×C61—44no—
967C23×C61C2512yes—
968C23×C61C2514yes—
969C23×C61C2512yes—
970C23×C61C2512yes—
971C23×C61C2512yes—
972C23×C61C2511yescharacteristic
973Q8×C61—24no—
974Q8×C61—42no—
975Q8×C61—42no—
976Q8×C61—41no—
977Q8×C61—44no—
978Q8×C61—44no—
979Q8×C61—42no—
980Q8×C61—44no—
981Q8×C61—42no—
982Q8×C61—44no—
983Q8×C61—44no—
984Q8×C61—42no—
985Q8×C61—42no—
986Q8×C61—41no—
987D4×C61—24no—
988D4×C61—28no—
989D4×C61—28no—
990D4×C61—24no—
991D4×C61—28no—
992D4×C61—24no—
993D4×C61—22no—
994D4×C61—24no—
995D4×C61—44no—
996D4×C61—44no—
997D4×C61—41no—
998D4×C61—42no—
999D4×C61—44no—
1000D4×C61—44no—
1001D4×C61—42no—
1002D4×C61—42no—
1003D4×C61—44no—
1004D4×C61—44no—
1005D4×C61—41no—
1006D4×C61—44no—
1007D4×C61—42no—
1008D4×C612−1+414yes—
1009C2×C4×C61—28no—
1010C2×C4×C61—22no—
1011C2×C4×C61—24no—
1012C2×C4×C61—22no—
1013C2×C4×C61—22no—
1014C2×C4×C61—22no—
1015C2×C4×C61—24no—
1016C2×C4×C61—24no—
1017C2×C4×C61—44no—
1018C2×C4×C61—44no—
1019C2×C4×C61—41no—
1020C2×C4×C61—44no—
1021C2×C4×C61—42no—
1022C2×C4×C61—41no—
1023C2×C4×C61—42no—
1024C2×C4×C61—42no—
1025C2×C4×C61—42no—
1026C2×C4×C61—42no—
1027C2×C4×C61—44no—
1028C2×C4×C61—44no—
1029C2×C4×C61—44no—
1030C2×C4×C61—44no—
1031C2×C4×C61—42no—
1032C2×C4×C61—42no—
1033C2×C4×C61—44no—
1034C2×C4×C61—44no—
1035C2×C4×C61—41no—
1036C2×C4×C61—44no—
1037C2×C4×C61—44no—
1038C2×C4×C61—44no—
1039C2×C4×C61—44no—
1040C2×C4×C61—44no—
1041C2×C4×C61—42no—
1042C2×C4×C61—42no—
1043C2×C4×C61—42no—
1044C2×C4×C61—44no—
1045C2×C4×C61C2514yes—
1046C2×C4×C61C2511yescharacteristic
1047C2×C4×C61C2512yes—
1048C2×C4×C61C2511yescharacteristic
1049C2×C4×C61C2512yes—
1050C2×C4×C61C2512yes—
1051C2×C4×C61C2512yes—
1052C2×C4×C61C2512yes—
1053C2×C4×C61C2512yes—
1054C2×C4×C61C2514yes—
1055C2×C4×C61C2512yes—
1056C2×C4×C61C2512yes—
1057C2×C4×C61C2511yescharacteristic
1058C2×C4×C61C2512yes—
1059C2×C4×C61C2512yes—
1060C2×C4×C61C2512yes—
1061C2×C4×C61C2514yes—
1062C2×C4×C61C2511yescharacteristic
1063C2×C4×C61C2514yes—
1064C2×C4×C61C2514yes—
1065C2×C4×C61C2512yes—
1066C2×C4×C61C2511yescharacteristic
1067C2×C4×C61C2511yescharacteristic
1068#62948C6111yesmaximal, characteristic, direct product factor, Sylow
1069C22×C61—21no—
1070C22×C61—22no—
1071C22×C61—21no—
1072C22×C61—22no—
1073C22×C61—22no—
1074C22×C61—22no—
1075C22×C61—22no—
1076C22×C61—24no—
1077C22×C61—22no—
1078C22×C61—24no—
1079C22×C61—22no—
1080C22×C61—22no—
1081C22×C61—22no—
1082C22×C61—24no—
1083C22×C61—22no—
1084C22×C61—22no—
1085C22×C61—48no—
1086C22×C61—88no—
1087C22×C61C2×2−1+414yes—
1088C22×C61#58512yes—
1089C22×C61C2611yescharacteristic
1090C4×C61—22no—
1091C4×C61—21no—
1092C4×C61—22no—
1093C4×C61—24no—
1094C4×C61—24no—
1095C4×C61—22no—
1096C4×C61—21no—
1097C4×C61—22no—
1098C4×C61—21no—
1099C4×C61—22no—
1100C4×C61—24no—
1101C4×C61—22no—
1102C4×C61—22no—
1103C4×C61—21no—
1104C4×C61—22no—
1105C4×C61—24no—
1106C4×C61—21no—
1107C4×C61—24no—
1108C4×C61—22no—
1109C4×C61—22no—
1110C4×C61—22no—
1111C4×C61—22no—
1112C4×C61C2×2−1+412yes—
1113#3565C2×C6112yescomplemented
1114#3564C2×C6114yescomplemented
1115#3563C2×C6111yescharacteristic, complemented
1116#3559C2×C6111yescharacteristic, complemented
1117#3559C2×C6112yescomplemented
1118#3557C2×C6112yescomplemented
1119#3554C2×C6112yescomplemented
1120#3553C2×C6114yescomplemented
1121#3552C2×C6112yescomplemented
1122#3541C2×C6114yescomplemented
1123#3538C2×C6112yescomplemented
1124#3536C2×C6112yescomplemented
1125#3535C2×C6114yescomplemented
1126#3535C2×C6114yescomplemented
1127#3521C2×C6112yescomplemented
1128#3520C2×C6111yescharacteristic, complemented
1129#3520C2×C6114yescomplemented
1130#3519C2×C6111yescharacteristic, complemented
1131#3515C2×C6112yescomplemented
1132#3513C2×C6112yescomplemented
1133#3513C2×C6112yescomplemented
1134#3507C2×C6111yescharacteristic, complemented
1135#3504C2×C6112yescomplemented
1136#3501C2×C6112yescomplemented
1137#3492C2×C6112yescomplemented
1138#3481C2×C6112yescomplemented
1139C2×#554C2×C6111yescharacteristic, complemented
1140#3461C2×C6111yescharacteristic, complemented
1141C2×#539C2×C6112yescomplemented
1142C2×C61—22no—
1143C2×C61—24no—
1144C2×C61—42no—
1145C2×C61—42no—
1146C2×C61—44no—
1147C2×C61—42no—
1148C2×C61C22×2−1+411yescharacteristic
1149C2×C61C2×#58511yescharacteristic
1150C2×C61H(7,𝔽2)11yescharacteristic
1151#564C22×C6112yescomplemented
1152#563C22×C6112yescomplemented
1153#563C22×C6114yescomplemented
1154#563C22×C6114yescomplemented
1155#563C22×C6114yescomplemented
1156#563C22×C6114yescomplemented
1157#563C22×C6114yescomplemented
1158#563C22×C6114yescomplemented
1159#563C22×C6112yescomplemented
1160#562C22×C6114yescomplemented
1161#562C22×C6114yescomplemented
1162#562C22×C6114yescomplemented
1163#562C22×C6114yescomplemented
1164#562C22×C6112yescomplemented
1165#559C22×C6112yescomplemented
1166#559C22×C6112yescomplemented
1167#559C22×C6112yescomplemented
1168#557C22×C6112yescomplemented
1169#557C22×C6112yescomplemented
1170#557C22×C6112yescomplemented
1171#557C22×C6112yescomplemented
1172#556C22×C6112yescomplemented
1173#556C22×C6114yescomplemented
1174#556C22×C6111yescharacteristic, complemented
1175#556C22×C6114yescomplemented
1176#556C22×C6112yescomplemented
1177#555C22×C6111yescharacteristic
1178#554C22×C6112yes—
1179#554C22×C6112yes—
1180#554C22×C6112yes—
1181#554C22×C6112yes—
1182#554C22×C6111yescharacteristic
1183#554C22×C6114yescomplemented
1184#554C22×C6114yescomplemented
1185#554C22×C6112yescomplemented
1186#554C22×C6112yescomplemented
1187#554C22×C6112yescomplemented
1188#554C22×C6114yescomplemented
1189#554C22×C6114yescomplemented
1190#554C22×C6112yescomplemented
1191#554C22×C6112yescomplemented
1192#554C22×C6114yescomplemented
1193#554C22×C6114yescomplemented
1194#554C22×C6112yescomplemented
1195#554C22×C6114yescomplemented
1196#554C22×C6114yescomplemented
1197#554C22×C6114yescomplemented
1198#554C22×C6112yescomplemented
1199#553C22×C6112yes—
1200#553C22×C6112yes—
1201#553C22×C6114yescomplemented
1202#553C22×C6112yescomplemented
1203#553C22×C6112yescomplemented
1204#553C22×C6114yescomplemented
1205#553C22×C6114yescomplemented
1206#553C22×C6112yescomplemented
1207#553C22×C6114yescomplemented
1208#553C22×C6112yescomplemented
1209#553C22×C6112yescomplemented
1210#552C22×C6114yescomplemented
1211#552C22×C6114yescomplemented
1212#552C22×C6114yescomplemented
1213#552C22×C6112yescomplemented
1214#552C22×C6112yescomplemented
1215#552C22×C6112yescomplemented
1216#552C22×C6114yescomplemented
1217#552C22×C6114yescomplemented
1218#552C22×C6114yescomplemented
1219#552C22×C6114yescomplemented
1220#552C22×C6114yescomplemented
1221#552C22×C6112yescomplemented
1222#552C22×C6114yescomplemented
1223#551C22×C6114yescomplemented
1224#551C22×C6114yescomplemented
1225#551C22×C6114yescomplemented
1226#551C22×C6114yescomplemented
1227#551C22×C6114yescomplemented
1228#551C22×C6114yescomplemented
1229#551C22×C6114yescomplemented
1230#551C22×C6114yescomplemented
1231#551C22×C6114yescomplemented
1232#550C22×C6111yescharacteristic
1233D4×Q8C22×C6111yescharacteristic
1234D4×Q8C22×C6114yescomplemented
1235D4×Q8C22×C6112yescomplemented
1236D4×Q8C22×C6114yescomplemented
1237#548C22×C6114yescomplemented
1238#548C22×C6112yescomplemented
1239#548C22×C6114yescomplemented
1240#547C22×C6111yescharacteristic
1241#547C22×C6114yescomplemented
1242#547C22×C6114yescomplemented
1243#547C22×C6112yescomplemented
1244#547C22×C6112yescomplemented
1245#547C22×C6114yescomplemented
1246#547C22×C6114yescomplemented
1247#547C22×C6114yescomplemented
1248#547C22×C6111yescharacteristic, complemented
1249#546C22×C6112yes—
1250#546C22×C6112yes—
1251#546C22×C6112yes—
1252#546C22×C6114yes—
1253#546C22×C6112yes—
1254#546C22×C6114yescomplemented
1255#546C22×C6114yescomplemented
1256#546C22×C6114yescomplemented
1257D42C22×C6112yes—
1258D42C22×C6111yescharacteristic
1259#544C22×C6111yescharacteristic, complemented
1260#544C22×C6112yescomplemented
1261#544C22×C6112yescomplemented
1262#544C22×C6112yescomplemented
1263#544C22×C6114yescomplemented
1264#544C22×C6114yescomplemented
1265#544C22×C6112yescomplemented
1266#544C22×C6112yescomplemented
1267#543C22×C6114yescomplemented
1268#543C22×C6114yescomplemented
1269#542C22×C6112yescomplemented
1270#542C22×C6112yescomplemented
1271#542C22×C6112yescomplemented
1272#542C22×C6112yescomplemented
1273#542C22×C6114yescomplemented
1274#542C22×C6114yescomplemented
1275#542C22×C6112yescomplemented
1276#542C22×C6112yescomplemented
1277#542C22×C6114yescomplemented
1278#542C22×C6114yescomplemented
1279#542C22×C6114yescomplemented
1280#541C22×C6112yescomplemented
1281#541C22×C6112yescomplemented
1282#541C22×C6114yescomplemented
1283#541C22×C6112yescomplemented
1284#541C22×C6114yescomplemented
1285#541C22×C6114yescomplemented
1286#541C22×C6114yescomplemented
1287#540C22×C6112yes—
1288#540C22×C6112yescomplemented
1289#540C22×C6112yescomplemented
1290#539C22×C6111yescharacteristic
1291#539C22×C6112yes—
1292#539C22×C6112yescomplemented
1293#539C22×C6114yescomplemented
1294#539C22×C6114yescomplemented
1295#539C22×C6114yescomplemented
1296#539C22×C6112yescomplemented
1297#539C22×C6114yescomplemented
1298#539C22×C6114yescomplemented
1299#539C22×C6114yescomplemented
1300#539C22×C6111yescharacteristic, complemented
1301#539C22×C6112yescomplemented
1302#539C22×C6114yescomplemented
1303#539C22×C6112yescomplemented
1304#539C22×C6114yescomplemented
1305#539C22×C6114yescomplemented
1306#539C22×C6114yescomplemented
1307#539C22×C6114yescomplemented
1308#539C22×C6114yescomplemented
1309#539C22×C6114yescomplemented
1310#539C22×C6114yescomplemented
1311#539C22×C6114yescomplemented
1312#539C22×C6114yescomplemented
1313#539C22×C6114yescomplemented
1314#538C22×C6114yes—
1315#538C22×C6114yescomplemented
1316#538C22×C6114yescomplemented
1317#538C22×C6114yescomplemented
1318#537C22×C6111yescharacteristic
1319#537C22×C6112yescomplemented
1320#537C22×C6114yescomplemented
1321#536C22×C6112yescomplemented
1322#536C22×C6112yescomplemented
1323#536C22×C6114yescomplemented
1324#536C22×C6114yescomplemented
1325#533C22×C6112yescomplemented
1326#533C22×C6112yescomplemented
1327#533C22×C6112yescomplemented
1328#533C22×C6114yescomplemented
1329#533C22×C6111yescharacteristic, complemented
1330#532C22×C6111yescharacteristic
1331#532C22×C6112yescomplemented
1332C2×C4⋊Q8C22×C6111yescharacteristic, complemented
1333#529C22×C6111yescharacteristic
1334#529C22×C6112yescomplemented
1335#529C22×C6112yescomplemented
1336#529C22×C6111yescharacteristic, complemented
1337#529C22×C6112yescomplemented
1338#529C22×C6112yescomplemented
1339#529C22×C6114yescomplemented
1340#529C22×C6112yescomplemented
1341#529C22×C6112yescomplemented
1342#529C22×C6112yescomplemented
1343#529C22×C6112yescomplemented
1344#529C22×C6114yescomplemented
1345C2×#126C22×C6114yescomplemented
1346C2×#125C22×C6114yescomplemented
1347C2×#125C22×C6111yescharacteristic, complemented
1348C2×#125C22×C6111yescharacteristic, complemented
1349C2×#125C22×C6112yescomplemented
1350#525C22×C6112yes—
1351#525C22×C6114yescomplemented
1352#525C22×C6114yescomplemented
1353#525C22×C6114yescomplemented
1354#525C22×C6112yescomplemented
1355#525C22×C6114yescomplemented
1356C2×#123C22×C6114yescomplemented
1357C2×#123C22×C6114yescomplemented
1358C2×C22⋊Q8C22×C6114yescomplemented
1359C2×C22⋊Q8C22×C6112yescomplemented
1360C2×C22⋊Q8C22×C6112yescomplemented
1361C2×C22⋊Q8C22×C6112yescomplemented
1362C2×C22⋊Q8C22×C6112yescomplemented
1363C2×C22⋊Q8C22×C6114yescomplemented
1364C2×#121C22×C6112yes—
1365#520C22×C6112yes—
1366#520C22×C6112yes—
1367#520C22×C6114yescomplemented
1368#520C22×C6112yescomplemented
1369#518C22×C6112yes—
1370#518C22×C6112yes—
1371C4×#41C22×C6112yes—
1372C4×#41C22×C6112yescomplemented
1373C2×C4×Q8C22×C6111yescharacteristic, complemented
1374C2×C4×D4C22×C6111yescharacteristic
1375C2×C4×D4C22×C6111yescharacteristic
1376C2×C4×D4C22×C6111yescharacteristic
1377C2×C4×D4C22×C6112yes—
1378C2×C4×D4C22×C6114yescomplemented
1379C22×C4⋊C4C22×C6112yescomplemented
1380C61#6294811yescharacteristic, direct product factor, Sylow
1381C2×#41C23×C6112yes—
1382C2×#41C23×C6112yes—
1383C2×#41C23×C6114yes—
1384C2×#41C23×C6112yes—
1385C2×#41C23×C6112yes—
1386C2×#41C23×C6114yes—
1387C2×#41C23×C6114yes—
1388C2×#41C23×C6112yes—
1389C22×Q8C23×C6111yescharacteristic
1390C22×Q8C23×C6112yes—
1391C22×Q8C23×C6112yes—
1392C22×Q8C23×C6114yes—
1393C22×D4C23×C6111yescharacteristic
1394C22×D4C23×C6112yes—
1395C22×D4C23×C6114yes—
1396C22×D4C23×C6112yes—
1397C23×C4C23×C6112yes—
1398C23×C4C23×C6112yes—
1399C23×C4C23×C6112yes—
1400C23×C4C23×C6114yes—
1401C4⋊Q8C23×C6114yes—
1402C4⋊Q8C23×C6112yes—
1403C4⋊Q8C23×C6112yes—
1404C4⋊Q8C23×C6111yescharacteristic
1405C4⋊Q8C23×C6112yes—
1406C4⋊Q8C23×C6112yes—
1407C4⋊Q8C23×C6112yes—
1408C4⋊Q8C23×C6112yes—
1409C4⋊Q8C23×C6111yescharacteristic
1410C4⋊Q8C23×C6112yes—
1411C4⋊Q8C23×C6112yes—
1412C4⋊Q8C23×C6112yes—
1413C4⋊Q8C23×C6111yescharacteristic
1414C4⋊Q8C23×C6114yes—
1415C4⋊Q8C23×C6114yes—
1416C4⋊Q8C23×C6114yes—
1417C4⋊Q8C23×C6114yes—
1418C4⋊Q8C23×C6114yes—
1419C4⋊Q8C23×C6114yes—
1420C4⋊Q8C23×C6114yes—
1421C4⋊Q8C23×C6114yes—
1422#127C23×C6111yescharacteristic
1423#127C23×C6112yes—
1424#126C23×C6112yes—
1425#126C23×C6114yes—
1426#126C23×C6114yes—
1427#126C23×C6114yes—
1428#126C23×C6114yes—
1429#126C23×C6114yes—
1430#126C23×C6114yes—
1431#126C23×C6114yes—
1432#126C23×C6112yes—
1433#126C23×C6112yes—
1434#126C23×C6114yes—
1435#126C23×C6114yes—
1436#126C23×C6112yes—
1437#126C23×C6112yes—
1438#126C23×C6114yes—
1439#126C23×C6114yes—
1440#126C23×C6114yes—
1441#126C23×C6112yes—
1442#126C23×C6112yes—
1443#126C23×C6114yes—
1444#126C23×C6112yes—
1445#126C23×C6114yes—
1446#126C23×C6114yes—
1447#126C23×C6114yes—
1448#126C23×C6114yes—
1449#126C23×C6114yes—
1450#126C23×C6114yes—
1451#126C23×C6114yes—
1452#126C23×C6114yes—
1453#126C23×C6114yes—
1454#126C23×C6114yes—
1455#126C23×C6114yes—
1456#126C23×C6114yes—
1457#125C23×C6112yes—
1458#125C23×C6112yes—
1459#125C23×C6114yes—
1460#125C23×C6112yes—
1461#125C23×C6112yes—
1462#125C23×C6114yes—
1463#125C23×C6114yes—
1464#125C23×C6114yes—
1465#125C23×C6114yes—
1466#125C23×C6114yes—
1467#125C23×C6112yes—
1468#125C23×C6114yes—
1469#125C23×C6114yes—
1470#125C23×C6112yes—
1471#125C23×C6112yes—
1472#125C23×C6112yes—
1473#125C23×C6112yes—
1474#125C23×C6112yes—
1475#125C23×C6114yes—
1476#125C23×C6111yescharacteristic
1477#125C23×C6112yes—
1478#125C23×C6112yes—
1479#125C23×C6114yes—
1480#125C23×C6111yescharacteristic
1481#125C23×C6114yes—
1482#125C23×C6112yes—
1483#125C23×C6112yes—
1484#125C23×C6112yes—
1485#125C23×C6112yes—
1486#125C23×C6112yes—
1487#125C23×C6112yes—
1488#125C23×C6112yes—
1489#125C23×C6114yes—
1490#125C23×C6114yes—
1491#125C23×C6114yes—
1492#125C23×C6114yes—
1493#125C23×C6114yes—
1494#125C23×C6114yes—
1495#125C23×C6114yes—
1496#125C23×C6114yes—
1497#125C23×C6114yes—
1498#125C23×C6114yes—
1499#125C23×C6114yes—
1500#124C23×C6111yescharacteristic
1501#124C23×C6112yes—
1502#124C23×C6112yes—
1503#124C23×C6112yes—
1504#124C23×C6112yes—
1505#124C23×C6114yes—
1506#124C23×C6112yes—
1507#124C23×C6112yes—
1508#124C23×C6114yes—
1509#124C23×C6111yescharacteristic
1510#124C23×C6112yes—
1511#124C23×C6114yes—
1512#124C23×C6114yes—
1513#124C23×C6114yes—
1514#124C23×C6114yes—
1515#124C23×C6114yes—
1516#124C23×C6114yes—
1517#124C23×C6114yes—
1518#124C23×C6114yes—
1519#123C23×C6112yes—
1520#123C23×C6112yes—
1521#123C23×C6114yes—
1522#123C23×C6114yes—
1523#123C23×C6114yes—
1524#123C23×C6114yes—
1525#123C23×C6114yes—
1526#123C23×C6114yes—
1527#123C23×C6114yes—
1528#123C23×C6114yes—
1529#123C23×C6114yes—
1530#123C23×C6114yes—
1531#123C23×C6114yes—
1532#123C23×C6114yes—
1533#123C23×C6114yes—
1534#123C23×C6114yes—
1535#123C23×C6114yes—
1536#123C23×C6112yes—
1537#123C23×C6112yes—
1538#123C23×C6114yes—
1539#123C23×C6114yes—
1540#123C23×C6114yes—
1541#123C23×C6114yes—
1542#123C23×C6114yes—
1543#123C23×C6112yes—
1544#123C23×C6114yes—
1545#123C23×C6112yes—
1546#123C23×C6114yes—
1547#123C23×C6114yes—
1548#123C23×C6114yes—
1549#123C23×C6114yes—
1550#123C23×C6114yes—
1551#123C23×C6114yes—
1552#123C23×C6112yes—
1553#123C23×C6112yes—
1554#123C23×C6114yes—
1555#123C23×C6114yes—
1556#123C23×C6114yes—
1557#123C23×C6114yes—
1558#123C23×C6114yes—
1559#123C23×C6114yes—
1560#123C23×C6114yes—
1561#123C23×C6114yes—
1562#123C23×C6114yes—
1563#123C23×C6114yes—
1564#123C23×C6114yes—
1565#123C23×C6114yes—
1566C22⋊Q8C23×C6111yescharacteristic
1567C22⋊Q8C23×C6114yes—
1568C22⋊Q8C23×C6112yes—
1569C22⋊Q8C23×C6114yes—
1570C22⋊Q8C23×C6112yes—
1571C22⋊Q8C23×C6112yes—
1572C22⋊Q8C23×C6114yes—
1573C22⋊Q8C23×C6114yes—
1574C22⋊Q8C23×C6114yes—
1575C22⋊Q8C23×C6114yes—
1576C22⋊Q8C23×C6114yes—
1577C22⋊Q8C23×C6114yes—
1578C22⋊Q8C23×C6114yes—
1579C22⋊Q8C23×C6114yes—
1580C22⋊Q8C23×C6114yes—
1581C22⋊Q8C23×C6114yes—
1582C22⋊Q8C23×C6112yes—
1583C22⋊Q8C23×C6114yes—
1584C22⋊Q8C23×C6114yes—
1585C22⋊Q8C23×C6112yes—
1586C22⋊Q8C23×C6114yes—
1587C22⋊Q8C23×C6114yes—
1588C22⋊Q8C23×C6114yes—
1589C22⋊Q8C23×C6114yes—
1590C22⋊Q8C23×C6114yes—
1591C22⋊Q8C23×C6114yes—
1592C22⋊Q8C23×C6114yes—
1593C22⋊Q8C23×C6114yes—
1594C22⋊Q8C23×C6114yes—
1595C22⋊Q8C23×C6114yes—
1596C22⋊Q8C23×C6114yes—
1597C22⋊Q8C23×C6114yes—
1598C22⋊Q8C23×C6111yescharacteristic
1599C22⋊Q8C23×C6112yes—
1600C22⋊Q8C23×C6114yes—
1601C22⋊Q8C23×C6114yes—
1602C22⋊Q8C23×C6114yes—
1603C22⋊Q8C23×C6114yes—
1604C22⋊Q8C23×C6112yes—
1605C22⋊Q8C23×C6114yes—
1606C22⋊Q8C23×C6114yes—
1607C22⋊Q8C23×C6112yes—
1608C22⋊Q8C23×C6112yes—
1609C22⋊Q8C23×C6112yes—
1610C22⋊Q8C23×C6112yes—
1611C22⋊Q8C23×C6112yes—
1612C22⋊Q8C23×C6112yes—
1613C22⋊Q8C23×C6112yes—
1614C22⋊Q8C23×C6114yes—
1615C22⋊Q8C23×C6112yes—
1616C22⋊Q8C23×C6112yes—
1617C22⋊Q8C23×C6112yes—
1618C22⋊Q8C23×C6112yes—
1619C22⋊Q8C23×C6114yes—
1620C22⋊Q8C23×C6112yes—
1621C22⋊Q8C23×C6112yes—
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—
1639C22⋊Q8C23×C6114yes—
1640C22⋊Q8C23×C6114yes—
1641#121C23×C6111yescharacteristic
1642#121C23×C6112yes—
1643#121C23×C6114yes—
1644#121C23×C6114yes—
1645#121C23×C6112yes—
1646#121C23×C6112yes—
1647#121C23×C6112yes—
1648#121C23×C6111yescharacteristic
1649#121C23×C6114yes—
1650#121C23×C6114yes—
1651#121C23×C6114yes—
1652#121C23×C6112yes—
1653#121C23×C6114yes—
1654#121C23×C6114yes—
1655#121C23×C6114yes—
1656#121C23×C6114yes—
1657#121C23×C6112yes—
1658#121C23×C6112yes—
1659#121C23×C6112yes—
1660#121C23×C6112yes—
1661#121C23×C6114yes—
1662#121C23×C6112yes—
1663#121C23×C6112yes—
1664#121C23×C6112yes—
1665#121C23×C6114yes—
1666#121C23×C6112yes—
1667#121C23×C6112yes—
1668#121C23×C6114yes—
1669#121C23×C6114yes—
1670#121C23×C6114yes—
1671#121C23×C6114yes—
1672#121C23×C6114yes—
1673#121C23×C6114yes—
1674#121C23×C6114yes—
1675#120C23×C6114yes—
1676#120C23×C6114yes—
1677#120C23×C6114yes—
1678#120C23×C6114yes—
1679#120C23×C6114yes—
1680#120C23×C6114yes—
1681C4×Q8C23×C6112yes—
1682C4×Q8C23×C6112yes—
1683C4×Q8C23×C6112yes—
1684C4×Q8C23×C6112yes—
1685C4×Q8C23×C6112yes—
1686C4×Q8C23×C6112yes—
1687C4×Q8C23×C6112yes—
1688C4×Q8C23×C6112yes—
1689C4×Q8C23×C6112yes—
1690C4×Q8C23×C6112yes—
1691C4×Q8C23×C6112yes—
1692C4×Q8C23×C6112yes—
1693C4×Q8C23×C6114yes—
1694C4×Q8C23×C6114yes—
1695C4×Q8C23×C6114yes—
1696C4×Q8C23×C6111yescharacteristic
1697C4×Q8C23×C6111yescharacteristic
1698C4×Q8C23×C6112yes—
1699C4×Q8C23×C6114yes—
1700C4×Q8C23×C6112yes—
1701C4×Q8C23×C6114yes—
1702C4×Q8C23×C6114yes—
1703C4×Q8C23×C6114yes—
1704C4×D4C23×C6112yes—
1705C4×D4C23×C6111yescharacteristic
1706C4×D4C23×C6112yes—
1707C4×D4C23×C6112yes—
1708C4×D4C23×C6111yescharacteristic
1709C4×D4C23×C6114yes—
1710C4×D4C23×C6114yes—
1711C4×D4C23×C6112yes—
1712C4×D4C23×C6112yes—
1713C4×D4C23×C6112yes—
1714C4×D4C23×C6114yes—
1715C4×D4C23×C6114yes—
1716C4×D4C23×C6112yes—
1717C4×D4C23×C6111yescharacteristic
1718C4×D4C23×C6112yes—
1719C4×D4C23×C6112yes—
1720C4×D4C23×C6111yescharacteristic
1721C4×D4C23×C6112yes—
1722C4×D4C23×C6114yes—
1723C4×D4C23×C6114yes—
1724C4×D4C23×C6114yes—
1725C4×D4C23×C6114yes—
1726C4×D4C23×C6114yes—
1727C4×D4C23×C6114yes—
1728C4×D4C23×C6114yes—
1729C4×D4C23×C6112yes—
1730C4×D4C23×C6114yes—
1731C4×D4C23×C6114yes—
1732C4×D4C23×C6112yes—
1733C4×D4C23×C6112yes—
1734C4×D4C23×C6112yes—
1735C4×D4C23×C6112yes—
1736C4×D4C23×C6112yes—
1737C4×D4C23×C6114yes—
1738C4×D4C23×C6114yes—
1739C4×D4C23×C6114yes—
1740C4×D4C23×C6114yes—
1741C4×D4C23×C6112yes—
1742C4×D4C23×C6112yes—
1743C4×D4C23×C6112yes—
1744C4×D4C23×C6112yes—
1745C4×D4C23×C6114yes—
1746C4×D4C23×C6114yes—
1747C4×D4C23×C6114yes—
1748C4×D4C23×C6114yes—
1749C4×D4C23×C6114yes—
1750C4×D4C23×C6114yes—
1751C4×D4C23×C6114yes—
1752C4×D4C23×C6114yes—
1753C4×D4C23×C6114yes—
1754C4×D4C23×C6114yes—
1755C4×D4C23×C6114yes—
1756C4×D4C23×C6114yes—
1757C4×D4C23×C6111yescharacteristic
1758C4×D4C23×C6112yes—
1759C4×D4C23×C6111yescharacteristic
1760C4×D4C23×C6114yes—
1761C4×D4C23×C6114yes—
1762C4×D4C23×C6112yes—
1763#117C23×C6114yes—
1764#117C23×C6112yes—
1765#117C23×C6112yes—
1766#117C23×C6112yes—
1767#117C23×C6112yes—
1768#117C23×C6112yes—
1769#117C23×C6112yes—
1770#117C23×C6112yes—
1771#117C23×C6112yes—
1772#117C23×C6112yes—
1773#117C23×C6112yes—
1774#117C23×C6114yes—
1775#117C23×C6114yes—
1776#117C23×C6114yes—
1777#117C23×C6114yes—
1778#117C23×C6114yes—
1779#117C23×C6114yes—
1780#117C23×C6112yes—
1781#117C23×C6112yes—
1782#117C23×C6114yes—
1783#117C23×C6114yes—
1784#117C23×C6114yes—
1785#117C23×C6112yes—
1786#117C23×C6114yes—
1787#117C23×C6114yes—
1788C2×C4⋊C4C23×C6111yescharacteristic
1789C2×C4⋊C4C23×C6112yes—
1790C2×C4⋊C4C23×C6112yes—
1791C2×C4⋊C4C23×C6114yes—
1792C2×C4⋊C4C23×C6112yes—
1793C2×C4⋊C4C23×C6114yes—
1794C2×C4⋊C4C23×C6114yes—
1795C2×C4⋊C4C23×C6114yes—
1796C2×C4⋊C4C23×C6111yescharacteristic
1797C2×C4⋊C4C23×C6111yescharacteristic
1798C2×C4⋊C4C23×C6111yescharacteristic
1799C2×C4⋊C4C23×C6112yes—
1800C2×C4⋊C4C23×C6114yes—
1801C2×C4⋊C4C23×C6111yescharacteristic
1802C2×C4⋊C4C23×C6111yescharacteristic
1803C2×C4⋊C4C23×C6114yes—
1804C2×C4⋊C4C23×C6114yes—
1805C2×C4⋊C4C23×C6112yes—
1806C2×C4⋊C4C23×C6112yes—
1807C2×C4⋊C4C23×C6114yes—
1808C2×C4⋊C4C23×C6114yes—
1809C2×C4⋊C4C23×C6114yes—
1810C2×C4⋊C4C23×C6112yes—
1811C2×C4⋊C4C23×C6112yes—
1812C2×C4⋊C4C23×C6112yes—
1813C2×C4⋊C4C23×C6114yes—
1814C2×C4⋊C4C23×C6112yes—
1815C2×C4⋊C4C23×C6114yes—
1816C2×C4⋊C4C23×C6114yes—
1817C2×C22⋊C4C23×C6112yes—
1818C2×C22⋊C4C23×C6112yes—
1819C2×C22⋊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×C6114yes—
1827C2×C22⋊C4C23×C6114yes—
1828C2×C42C23×C6111yescharacteristic
1829C2×C42C23×C6111yescharacteristic
1830C2×C42C23×C6111yescharacteristic
1831C2×C42C23×C6112yes—
1832C2×C42C23×C6114yes—
1833C2×C42C23×C6112yes—
1834C24C24×C6112yes—
1835C24C24×C6114yes—
1836#41—28no—
1837#41—48no—
1838#41—44no—
1839#41—44no—
1840#41—84no—
1841#41—82no—
1842#41—84no—
1843#41—82no—
1844C2×Q8—42no—
1845C2×Q8—82no—
1846C2×Q8—82no—
1847C2×Q8—84no—
1848C2×Q8C24×C6112yes—
1849C2×Q8C24×C6112yes—
1850C2×Q8C24×C6114yes—
1851C2×Q8C24×C6112yes—
1852C2×Q8C24×C6112yes—
1853C2×Q8C24×C6112yes—
1854C2×Q8C24×C6111yescharacteristic
1855C2×Q8C24×C6114yes—
1856C2×Q8C24×C6112yes—
1857C2×Q8C24×C6114yes—
1858C2×Q8C24×C6114yes—
1859C2×Q8C24×C6114yes—
1860C2×Q8C24×C6112yes—
1861C2×Q8C24×C6111yescharacteristic
1862C2×D4—24no—
1863C2×D4—28no—
1864C2×D4—48no—
1865C2×D4—82no—
1866C2×D4C24×C6114yes—
1867C2×D4C24×C6112yes—
1868C2×D4C24×C6114yes—
1869C2×D4C24×C6111yescharacteristic
1870C2×D4C24×C6112yes—
1871C2×D4C24×C6112yes—
1872C2×D4C24×C6114yes—
1873C2×D4C24×C6112yes—
1874C2×D4C24×C6112yes—
1875C2×D4C24×C6112yes—
1876C2×D4C24×C6114yes—
1877C2×D4C24×C6114yes—
1878C2×D4C24×C6114yes—
1879C2×D4C24×C6112yes—
1880C2×D4C24×C6114yes—
1881C2×D4C24×C6114yes—
1882C2×D4C24×C6114yes—
1883C2×D4C24×C6114yes—
1884C2×D4C24×C6111yescharacteristic
1885C2×D4C24×C6111yescharacteristic
1886C2×D4C24×C6112yes—
1887C2×D4C24×C6111yescharacteristic
1888C22×C4—44no—
1889C22×C4—82no—
1890C22×C4—84no—
1891C22×C4—82no—
1892C22×C4C24×C6111yescharacteristic
1893C22×C4C24×C6114yes—
1894C22×C4C24×C6111yescharacteristic
1895C22×C4C24×C6111yescharacteristic
1896C22×C4C24×C6111yescharacteristic
1897C22×C4C24×C6112yes—
1898C22×C4C24×C6112yes—
1899C22×C4C24×C6112yes—
1900C22×C4C24×C6111yescharacteristic
1901C22×C4C24×C6112yes—
1902C22×C4C24×C6114yes—
1903C22×C4C24×C6114yes—
1904C22×C4C24×C6111yescharacteristic
1905C22×C4C24×C6111yescharacteristic
1906C22×C4C24×C6112yes—
1907C22×C4C24×C6112yes—
1908C22×C4C24×C6112yes—
1909C22×C4C24×C6114yes—
1910C22×C4C24×C6114yes—
1911C22×C4C24×C6112yes—
1912C22×C4C24×C6112yes—
1913C22×C4C24×C6112yes—
1914C22×C4C24×C6114yes—
1915C22×C4C24×C6114yes—
1916C22×C4C24×C6114yes—
1917C22×C4C24×C6114yes—
1918C22×C4C24×C6114yes—
1919C22×C4C24×C6112yes—
1920C22×C4C24×C6114yes—
1921C22×C4C24×C6114yes—
1922C22×C4C24×C6114yes—
1923C22×C4C24×C6114yes—
1924C22×C4C24×C6112yes—
1925C22×C4C24×C6112yes—
1926C22×C4C24×C6114yes—
1927C22×C4C24×C6114yes—
1928C4⋊C4C24×C6112yes—
1929C4⋊C4C24×C6112yes—
1930C4⋊C4C24×C6114yes—
1931C4⋊C4C24×C6114yes—
1932C4⋊C4C24×C6112yes—
1933C4⋊C4C24×C6111yescharacteristic
1934C4⋊C4C24×C6114yes—
1935C4⋊C4C24×C6114yes—
1936C4⋊C4C24×C6114yes—
1937C4⋊C4C24×C6114yes—
1938C4⋊C4C24×C6114yes—
1939C4⋊C4C24×C6112yes—
1940C4⋊C4C24×C6112yes—
1941C4⋊C4C24×C6112yes—
1942C4⋊C4C24×C6112yes—
1943C4⋊C4C24×C6112yes—
1944C4⋊C4C24×C6114yes—
1945C4⋊C4C24×C6112yes—
1946C4⋊C4C24×C6112yes—
1947C4⋊C4C24×C6114yes—
1948C4⋊C4C24×C6114yes—
1949C4⋊C4C24×C6112yes—
1950C4⋊C4C24×C6114yes—
1951C4⋊C4C24×C6114yes—
1952C4⋊C4C24×C6111yescharacteristic
1953C4⋊C4C24×C6111yescharacteristic
1954C4⋊C4C24×C6114yes—
1955C4⋊C4C24×C6114yes—
1956C4⋊C4C24×C6112yes—
1957C4⋊C4C24×C6114yes—
1958C4⋊C4C24×C6112yes—
1959C4⋊C4C24×C6111yescharacteristic
1960C4⋊C4C24×C6112yes—
1961C4⋊C4C24×C6112yes—
1962C4⋊C4C24×C6114yes—
1963C4⋊C4C24×C6114yes—
1964C4⋊C4C24×C6114yes—
1965C4⋊C4C24×C6114yes—
1966C4⋊C4C24×C6112yes—
1967C4⋊C4C24×C6114yes—
1968C4⋊C4C24×C6114yes—
1969C4⋊C4C24×C6112yes—
1970C4⋊C4C24×C6114yes—
1971C4⋊C4C24×C6114yes—
1972C4⋊C4C24×C6112yes—
1973C4⋊C4C24×C6112yes—
1974C4⋊C4C24×C6112yes—
1975C4⋊C4C24×C6114yes—
1976C4⋊C4C24×C6114yes—
1977C4⋊C4C24×C6114yes—
1978C4⋊C4C24×C6114yes—
1979C4⋊C4C24×C6114yes—
1980C4⋊C4C24×C6114yes—
1981C4⋊C4C24×C6114yes—
1982C4⋊C4C24×C6114yes—
1983C4⋊C4C24×C6112yes—
1984C4⋊C4C24×C6112yes—
1985C4⋊C4C24×C6114yes—
1986C4⋊C4C24×C6112yes—
1987C4⋊C4C24×C6112yes—
1988C4⋊C4C24×C6112yes—
1989C4⋊C4C24×C6111yescharacteristic
1990C4⋊C4C24×C6111yescharacteristic
1991C4⋊C4C24×C6114yes—
1992C4⋊C4C24×C6114yes—
1993C4⋊C4C24×C6112yes—
1994C4⋊C4C24×C6112yes—
1995C4⋊C4C24×C6112yes—
1996C4⋊C4C24×C6112yes—
1997C4⋊C4C24×C6112yes—
1998C4⋊C4C24×C6112yes—
1999C4⋊C4C24×C6114yes—
2000C4⋊C4C24×C6112yes—
2001C4⋊C4C24×C6112yes—
2002C4⋊C4C24×C6114yes—
2003C4⋊C4C24×C6112yes—
2004C4⋊C4C24×C6112yes—
2005C4⋊C4C24×C6112yes—
2006C4⋊C4C24×C6112yes—
2007C22⋊C4C24×C6112yes—
2008C22⋊C4C24×C6114yes—
2009C22⋊C4C24×C6114yes—
2010C22⋊C4C24×C6114yes—
2011C22⋊C4C24×C6112yes—
2012C22⋊C4C24×C6112yes—
2013C22⋊C4C24×C6112yes—
2014C22⋊C4C24×C6114yes—
2015C22⋊C4C24×C6114yes—
2016C22⋊C4C24×C6112yes—
2017C22⋊C4C24×C6112yes—
2018C22⋊C4C24×C6112yes—
2019C22⋊C4C24×C6112yes—
2020C22⋊C4C24×C6112yes—
2021C22⋊C4C24×C6114yes—
2022C22⋊C4C24×C6114yes—
2023C22⋊C4C24×C6114yes—
2024C22⋊C4C24×C6114yes—
2025C22⋊C4C24×C6114yes—
2026C22⋊C4C24×C6114yes—
2027C22⋊C4C24×C6114yes—
2028C22⋊C4C24×C6114yes—
2029C22⋊C4C24×C6114yes—
2030C22⋊C4C24×C6112yes—
2031C22⋊C4C24×C6114yes—
2032C22⋊C4C24×C6114yes—
2033C22⋊C4C24×C6114yes—
2034C22⋊C4C24×C6114yes—
2035C22⋊C4C24×C6112yes—
2036C22⋊C4C24×C6114yes—
2037C22⋊C4C24×C6114yes—
2038C22⋊C4C24×C6114yes—
2039C22⋊C4C24×C6114yes—
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×C6114yes—
2050C22⋊C4C24×C6114yes—
2051C22⋊C4C24×C6112yes—
2052C22⋊C4C24×C6112yes—
2053C22⋊C4C24×C6114yes—
2054C22⋊C4C24×C6112yes—
2055C22⋊C4C24×C6112yes—
2056C22⋊C4C24×C6112yes—
2057C22⋊C4C24×C6114yes—
2058C22⋊C4C24×C6112yes—
2059C22⋊C4C24×C6112yes—
2060C42C24×C6112yes—
2061C42C24×C6112yes—
2062C42C24×C6112yes—
2063C42C24×C6114yes—
2064C42C24×C6112yes—
2065C42C24×C6112yes—
2066C42C24×C6111yescharacteristic
2067C42C24×C6112yes—
2068C42C24×C6112yes—
2069C42C24×C6111yescharacteristic
2070C42C24×C6112yes—
2071C42C24×C6114yes—
2072C42C24×C6112yes—
2073C42C24×C6112yes—
2074C42C24×C6111yescharacteristic
2075C42C24×C6114yes—
2076C42C24×C6111yescharacteristic
2077C42C24×C6114yes—
2078C42C24×C6114yes—
2079C42C24×C6114yes—
2080C42C24×C6114yes—
2081C42C24×C6114yes—
2082C42C24×C6114yes—
2083C23—24no—
2084C23—24no—
2085C23—28no—
2086C23—42no—
2087C23—44no—
2088C23—44no—
2089C23C25×C6112yes—
2090C23C25×C6114yes—
2091C23C25×C6112yes—
2092C23C25×C6112yes—
2093C23C25×C6112yes—
2094C23C25×C6111yescharacteristic
2095Q8—24no—
2096Q8—42no—
2097Q8—42no—
2098Q8—41no—
2099Q8—44no—
2100Q8—44no—
2101Q8—42no—
2102Q8—44no—
2103Q8—42no—
2104Q8—44no—
2105Q8—44no—
2106Q8—42no—
2107Q8—42no—
2108Q8—41no—
2109D4—24no—
2110D4—28no—
2111D4—28no—
2112D4—24no—
2113D4—28no—
2114D4—24no—
2115D4—22no—
2116D4—24no—
2117D4—44no—
2118D4—44no—
2119D4—41no—
2120D4—42no—
2121D4—44no—
2122D4—44no—
2123D4—42no—
2124D4—42no—
2125D4—44no—
2126D4—44no—
2127D4—41no—
2128D4—44no—
2129D4—42no—
2130D42−1+4×C6114yes—
2131C2×C4—28no—
2132C2×C4—22no—
2133C2×C4—24no—
2134C2×C4—22no—
2135C2×C4—22no—
2136C2×C4—22no—
2137C2×C4—24no—
2138C2×C4—24no—
2139C2×C4—44no—
2140C2×C4—44no—
2141C2×C4—41no—
2142C2×C4—44no—
2143C2×C4—42no—
2144C2×C4—41no—
2145C2×C4—42no—
2146C2×C4—42no—
2147C2×C4—42no—
2148C2×C4—42no—
2149C2×C4—44no—
2150C2×C4—44no—
2151C2×C4—44no—
2152C2×C4—44no—
2153C2×C4—42no—
2154C2×C4—42no—
2155C2×C4—44no—
2156C2×C4—44no—
2157C2×C4—41no—
2158C2×C4—44no—
2159C2×C4—44no—
2160C2×C4—44no—
2161C2×C4—44no—
2162C2×C4—44no—
2163C2×C4—42no—
2164C2×C4—42no—
2165C2×C4—42no—
2166C2×C4—44no—
2167C2×C4C25×C6114yes—
2168C2×C4C25×C6111yescharacteristic
2169C2×C4C25×C6112yes—
2170C2×C4C25×C6111yescharacteristic
2171C2×C4C25×C6112yes—
2172C2×C4C25×C6112yes—
2173C2×C4C25×C6112yes—
2174C2×C4C25×C6112yes—
2175C2×C4C25×C6112yes—
2176C2×C4C25×C6114yes—
2177C2×C4C25×C6112yes—
2178C2×C4C25×C6112yes—
2179C2×C4C25×C6111yescharacteristic
2180C2×C4C25×C6112yes—
2181C2×C4C25×C6112yes—
2182C2×C4C25×C6112yes—
2183C2×C4C25×C6114yes—
2184C2×C4C25×C6111yescharacteristic
2185C2×C4C25×C6114yes—
2186C2×C4C25×C6114yes—
2187C2×C4C25×C6112yes—
2188C2×C4C25×C6111yescharacteristic
2189C2×C4C25×C6111yescharacteristic
2190C22—21no—
2191C22—22no—
2192C22—21no—
2193C22—22no—
2194C22—22no—
2195C22—22no—
2196C22—22no—
2197C22—24no—
2198C22—22no—
2199C22—24no—
2200C22—22no—
2201C22—22no—
2202C22—22no—
2203C22—24no—
2204C22—22no—
2205C22—22no—
2206C22—48no—
2207C22—88no—
2208C22C2×2−1+4×C6114yes—
2209C22C61×#58512yes—
2210C22C26×C6111yescharacteristic
2211C4—22no—
2212C4—21no—
2213C4—22no—
2214C4—24no—
2215C4—24no—
2216C4—22no—
2217C4—21no—
2218C4—22no—
2219C4—21no—
2220C4—22no—
2221C4—24no—
2222C4—22no—
2223C4—22no—
2224C4—21no—
2225C4—22no—
2226C4—24no—
2227C4—21no—
2228C4—24no—
2229C4—22no—
2230C4—22no—
2231C4—22no—
2232C4—22no—
2233C4C2×2−1+4×C6112yes—
2234C2—22no—
2235C2—24no—
2236C2—42no—
2237C2—42no—
2238C2—44no—
2239C2—42no—
2240C2C22×2−1+4×C6111yescharacteristic
2241C2C2×C61×#58511yescharacteristic
2242C2C61×H(7,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C61C26
commutator, Frattini, cosocleC22C26×C61
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#3565C2semidirect
2. C61×#3564C2semidirect
3. C61×#3563C2semidirect
4. C61×#3559C2semidirect
5. C61×#3559C2semidirect
6. C61×#3557C2semidirect
7. C61×#3554C2semidirect
8. C61×#3553C2semidirect
9. C61×#3552C2semidirect
10. C61×#3541C2semidirect
11. C61×#3538C2semidirect
12. C61×#3536C2semidirect
13. C61×#3535C2semidirect
14. C61×#3535C2semidirect
15. C61×#3521C2semidirect
16. C61×#3520C2semidirect
17. C61×#3520C2semidirect
18. C61×#3519C2semidirect
19. C61×#3515C2semidirect
20. C61×#3513C2semidirect
21. C61×#3513C2semidirect
22. C61×#3507C2semidirect
23. C61×#3504C2semidirect
24. C61×#3501C2semidirect
25. C61×#3492C2semidirect
26. C61×#3481C2semidirect
27. C2×C61×#554C2semidirect
28. C61×#3461C2semidirect
29. C2×C61×#539C2semidirect
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×#562C22semidirect
40. C61×#562C22semidirect
41. C61×#562C22semidirect
42. C61×#562C22semidirect
43. C61×#562C22semidirect
44. C61×#559C22semidirect
45. C61×#559C22semidirect
46. C61×#559C22semidirect
47. C61×#557C22semidirect
48. C61×#557C22semidirect
49. C61×#557C22semidirect
50. C61×#557C22semidirect
51. C61×#556C22semidirect
52. C61×#556C22semidirect
53. C61×#556C22semidirect
54. C61×#556C22semidirect
55. C61×#556C22semidirect
62. C61×#554C22semidirect
63. C61×#554C22semidirect
64. C61×#554C22semidirect
65. C61×#554C22semidirect
66. C61×#554C22semidirect
67. C61×#554C22semidirect
68. C61×#554C22semidirect
69. C61×#554C22semidirect
70. C61×#554C22semidirect
71. C61×#554C22semidirect
72. C61×#554C22semidirect
73. C61×#554C22semidirect
74. C61×#554C22semidirect
75. C61×#554C22semidirect
76. C61×#554C22semidirect
77. C61×#554C22semidirect
80. C61×#553C22semidirect
81. C61×#553C22semidirect
82. C61×#553C22semidirect
83. C61×#553C22semidirect
84. C61×#553C22semidirect
85. C61×#553C22semidirect
86. C61×#553C22semidirect
87. C61×#553C22semidirect
88. C61×#553C22semidirect
89. C61×#552C22semidirect
90. C61×#552C22semidirect
91. C61×#552C22semidirect
92. C61×#552C22semidirect
93. C61×#552C22semidirect
94. C61×#552C22semidirect
95. C61×#552C22semidirect
96. C61×#552C22semidirect
97. C61×#552C22semidirect
98. C61×#552C22semidirect
99. C61×#552C22semidirect
100. C61×#552C22semidirect
101. C61×#552C22semidirect
102. C61×#551C22semidirect
103. C61×#551C22semidirect
104. C61×#551C22semidirect
105. C61×#551C22semidirect
106. C61×#551C22semidirect
107. C61×#551C22semidirect
108. C61×#551C22semidirect
109. C61×#551C22semidirect
110. C61×#551C22semidirect
113. D4×Q8×C61C22semidirect
114. D4×Q8×C61C22semidirect
115. D4×Q8×C61C22semidirect
116. C61×#548C22semidirect
117. C61×#548C22semidirect
118. C61×#548C22semidirect
120. C61×#547C22semidirect
121. C61×#547C22semidirect
122. C61×#547C22semidirect
123. C61×#547C22semidirect
124. C61×#547C22semidirect
125. C61×#547C22semidirect
126. C61×#547C22semidirect
127. C61×#547C22semidirect
133. C61×#546C22semidirect
134. C61×#546C22semidirect
135. C61×#546C22semidirect
138. C61×#544C22semidirect
139. C61×#544C22semidirect
140. C61×#544C22semidirect
141. C61×#544C22semidirect
142. C61×#544C22semidirect
143. C61×#544C22semidirect
144. C61×#544C22semidirect
145. C61×#544C22semidirect
146. C61×#543C22semidirect
147. C61×#543C22semidirect
148. C61×#542C22semidirect
149. C61×#542C22semidirect
150. C61×#542C22semidirect
151. C61×#542C22semidirect
152. C61×#542C22semidirect
153. C61×#542C22semidirect
154. C61×#542C22semidirect
155. C61×#542C22semidirect
156. C61×#542C22semidirect
157. C61×#542C22semidirect
158. C61×#542C22semidirect
159. C61×#541C22semidirect
160. C61×#541C22semidirect
161. C61×#541C22semidirect
162. C61×#541C22semidirect
163. C61×#541C22semidirect
164. C61×#541C22semidirect
165. C61×#541C22semidirect
167. C61×#540C22semidirect
168. C61×#540C22semidirect
171. C61×#539C22semidirect
172. C61×#539C22semidirect
173. C61×#539C22semidirect
174. C61×#539C22semidirect
175. C61×#539C22semidirect
176. C61×#539C22semidirect
177. C61×#539C22semidirect
178. C61×#539C22semidirect
179. C61×#539C22semidirect
180. C61×#539C22semidirect
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
191. C61×#539C22semidirect
192. C61×#539C22semidirect
194. C61×#538C22semidirect
195. C61×#538C22semidirect
196. C61×#538C22semidirect
198. C61×#537C22semidirect
199. C61×#537C22semidirect
200. C61×#536C22semidirect
201. C61×#536C22semidirect
202. C61×#536C22semidirect
203. C61×#536C22semidirect
204. C61×#533C22semidirect
205. C61×#533C22semidirect
206. C61×#533C22semidirect
207. C61×#533C22semidirect
208. C61×#533C22semidirect
210. C61×#532C22semidirect
211. C2×C4⋊Q8×C61C22semidirect
213. C61×#529C22semidirect
214. C61×#529C22semidirect
215. C61×#529C22semidirect
216. C61×#529C22semidirect
217. C61×#529C22semidirect
218. C61×#529C22semidirect
219. C61×#529C22semidirect
220. C61×#529C22semidirect
221. C61×#529C22semidirect
222. C61×#529C22semidirect
223. C61×#529C22semidirect
224. C2×#126×C61C22semidirect
225. C2×#125×C61C22semidirect
226. C2×#125×C61C22semidirect
227. C2×#125×C61C22semidirect
228. C2×#125×C61C22semidirect
230. C61×#525C22semidirect
231. C61×#525C22semidirect
232. C61×#525C22semidirect
233. C61×#525C22semidirect
234. C61×#525C22semidirect
235. C2×#123×C61C22semidirect
236. C2×#123×C61C22semidirect
237. C2×C22⋊Q8×C61C22semidirect
238. C2×C22⋊Q8×C61C22semidirect
239. C2×C22⋊Q8×C61C22semidirect
240. C2×C22⋊Q8×C61C22semidirect
241. C2×C22⋊Q8×C61C22semidirect
242. C2×C22⋊Q8×C61C22semidirect
246. C61×#520C22semidirect
247. C61×#520C22semidirect
251. C4×#41×C61C22semidirect
252. C2×C4×Q8×C61C22semidirect
257. C2×C4×D4×C61C22semidirect
258. C22×C4⋊C4×C61C22semidirect
1068. #62948C61direct (N × H)
1113. #3565C2×C61semidirect
1114. #3564C2×C61semidirect
1115. #3563C2×C61semidirect
1116. #3559C2×C61semidirect
1117. #3559C2×C61semidirect
1118. #3557C2×C61semidirect
1119. #3554C2×C61semidirect
1120. #3553C2×C61semidirect
1121. #3552C2×C61semidirect
1122. #3541C2×C61semidirect
1123. #3538C2×C61semidirect
1124. #3536C2×C61semidirect
1125. #3535C2×C61semidirect
1126. #3535C2×C61semidirect
1127. #3521C2×C61semidirect
1128. #3520C2×C61semidirect
1129. #3520C2×C61semidirect
1130. #3519C2×C61semidirect
1131. #3515C2×C61semidirect
1132. #3513C2×C61semidirect
1133. #3513C2×C61semidirect
1134. #3507C2×C61semidirect
1135. #3504C2×C61semidirect
1136. #3501C2×C61semidirect
1137. #3492C2×C61semidirect
1138. #3481C2×C61semidirect
1139. C2×#554C2×C61semidirect
1140. #3461C2×C61semidirect
1141. C2×#539C2×C61semidirect
1151. #564C22×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. #562C22×C61semidirect
1161. #562C22×C61semidirect
1162. #562C22×C61semidirect
1163. #562C22×C61semidirect
1164. #562C22×C61semidirect
1165. #559C22×C61semidirect
1166. #559C22×C61semidirect
1167. #559C22×C61semidirect
1168. #557C22×C61semidirect
1169. #557C22×C61semidirect
1170. #557C22×C61semidirect
1171. #557C22×C61semidirect
1172. #556C22×C61semidirect
1173. #556C22×C61semidirect
1174. #556C22×C61semidirect
1175. #556C22×C61semidirect
1176. #556C22×C61semidirect
1183. #554C22×C61semidirect
1184. #554C22×C61semidirect
1185. #554C22×C61semidirect
1186. #554C22×C61semidirect
1187. #554C22×C61semidirect
1188. #554C22×C61semidirect
1189. #554C22×C61semidirect
1190. #554C22×C61semidirect
1191. #554C22×C61semidirect
1192. #554C22×C61semidirect
1193. #554C22×C61semidirect
1194. #554C22×C61semidirect
1195. #554C22×C61semidirect
1196. #554C22×C61semidirect
1197. #554C22×C61semidirect
1198. #554C22×C61semidirect
1201. #553C22×C61semidirect
1202. #553C22×C61semidirect
1203. #553C22×C61semidirect
1204. #553C22×C61semidirect
1205. #553C22×C61semidirect
1206. #553C22×C61semidirect
1207. #553C22×C61semidirect
1208. #553C22×C61semidirect
1209. #553C22×C61semidirect
1210. #552C22×C61semidirect
1211. #552C22×C61semidirect
1212. #552C22×C61semidirect
1213. #552C22×C61semidirect
1214. #552C22×C61semidirect
1215. #552C22×C61semidirect
1216. #552C22×C61semidirect
1217. #552C22×C61semidirect
1218. #552C22×C61semidirect
1219. #552C22×C61semidirect
1220. #552C22×C61semidirect
1221. #552C22×C61semidirect
1222. #552C22×C61semidirect
1223. #551C22×C61semidirect
1224. #551C22×C61semidirect
1225. #551C22×C61semidirect
1226. #551C22×C61semidirect
1227. #551C22×C61semidirect
1228. #551C22×C61semidirect
1229. #551C22×C61semidirect
1230. #551C22×C61semidirect
1231. #551C22×C61semidirect
1234. D4×Q8C22×C61semidirect
1235. D4×Q8C22×C61semidirect
1236. D4×Q8C22×C61semidirect
1237. #548C22×C61semidirect
1238. #548C22×C61semidirect
1239. #548C22×C61semidirect
1241. #547C22×C61semidirect
1242. #547C22×C61semidirect
1243. #547C22×C61semidirect
1244. #547C22×C61semidirect
1245. #547C22×C61semidirect
1246. #547C22×C61semidirect
1247. #547C22×C61semidirect
1248. #547C22×C61semidirect
1254. #546C22×C61semidirect
1255. #546C22×C61semidirect
1256. #546C22×C61semidirect
1259. #544C22×C61semidirect
1260. #544C22×C61semidirect
1261. #544C22×C61semidirect
1262. #544C22×C61semidirect
1263. #544C22×C61semidirect
1264. #544C22×C61semidirect
1265. #544C22×C61semidirect
1266. #544C22×C61semidirect
1267. #543C22×C61semidirect
1268. #543C22×C61semidirect
1269. #542C22×C61semidirect
1270. #542C22×C61semidirect
1271. #542C22×C61semidirect
1272. #542C22×C61semidirect
1273. #542C22×C61semidirect
1274. #542C22×C61semidirect
1275. #542C22×C61semidirect
1276. #542C22×C61semidirect
1277. #542C22×C61semidirect
1278. #542C22×C61semidirect
1279. #542C22×C61semidirect
1280. #541C22×C61semidirect
1281. #541C22×C61semidirect
1282. #541C22×C61semidirect
1283. #541C22×C61semidirect
1284. #541C22×C61semidirect
1285. #541C22×C61semidirect
1286. #541C22×C61semidirect
1288. #540C22×C61semidirect
1289. #540C22×C61semidirect
1292. #539C22×C61semidirect
1293. #539C22×C61semidirect
1294. #539C22×C61semidirect
1295. #539C22×C61semidirect
1296. #539C22×C61semidirect
1297. #539C22×C61semidirect
1298. #539C22×C61semidirect
1299. #539C22×C61semidirect
1300. #539C22×C61semidirect
1301. #539C22×C61semidirect
1302. #539C22×C61semidirect
1303. #539C22×C61semidirect
1304. #539C22×C61semidirect
1305. #539C22×C61semidirect
1306. #539C22×C61semidirect
1307. #539C22×C61semidirect
1308. #539C22×C61semidirect
1309. #539C22×C61semidirect
1310. #539C22×C61semidirect
1311. #539C22×C61semidirect
1312. #539C22×C61semidirect
1313. #539C22×C61semidirect
1315. #538C22×C61semidirect
1316. #538C22×C61semidirect
1317. #538C22×C61semidirect
1319. #537C22×C61semidirect
1320. #537C22×C61semidirect
1321. #536C22×C61semidirect
1322. #536C22×C61semidirect
1323. #536C22×C61semidirect
1324. #536C22×C61semidirect
1325. #533C22×C61semidirect
1326. #533C22×C61semidirect
1327. #533C22×C61semidirect
1328. #533C22×C61semidirect
1329. #533C22×C61semidirect
1331. #532C22×C61semidirect
1332. C2×C4⋊Q8C22×C61semidirect
1334. #529C22×C61semidirect
1335. #529C22×C61semidirect
1336. #529C22×C61semidirect
1337. #529C22×C61semidirect
1338. #529C22×C61semidirect
1339. #529C22×C61semidirect
1340. #529C22×C61semidirect
1341. #529C22×C61semidirect
1342. #529C22×C61semidirect
1343. #529C22×C61semidirect
1344. #529C22×C61semidirect
1345. C2×#126C22×C61semidirect
1346. C2×#125C22×C61semidirect
1347. C2×#125C22×C61semidirect
1348. C2×#125C22×C61semidirect
1349. C2×#125C22×C61semidirect
1351. #525C22×C61semidirect
1352. #525C22×C61semidirect
1353. #525C22×C61semidirect
1354. #525C22×C61semidirect
1355. #525C22×C61semidirect
1356. C2×#123C22×C61semidirect
1357. C2×#123C22×C61semidirect
1358. C2×C22⋊Q8C22×C61semidirect
1359. C2×C22⋊Q8C22×C61semidirect
1360. C2×C22⋊Q8C22×C61semidirect
1361. C2×C22⋊Q8C22×C61semidirect
1362. C2×C22⋊Q8C22×C61semidirect
1363. C2×C22⋊Q8C22×C61semidirect
1367. #520C22×C61semidirect
1368. #520C22×C61semidirect
1372. C4×#41C22×C61semidirect
1373. C2×C4×Q8C22×C61semidirect
1378. C2×C4×D4C22×C61semidirect
1379. C22×C4⋊C4C22×C61semidirect
1380. C61#62948direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#35652
C61×#35642
C61×#35632
C61×#35592
C61×#35572
C61×#35542
C61×#35532
C61×#35522
C61×#35412
C61×#35382
C61×#35362
C61×#35352
C61×#35212
C61×#35202
C61×#35192
C61×#35152
C61×#35132
C61×#35072
C61×#35042
C61×#35012
C61×#34922
C61×#34812
C2×C61×#5542
C61×#34612
C2×C61×#5392
#6294861