Finite Group Databasebeta

← C61×#63064 #29566497

Subgroups — C61×#63064 #29566497

Order 15616.

6286 conjugacy classes of subgroups.

The subgroup lattice has 1874 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3568C212yesmaximal, complemented
2C61×#3566C214yesmaximal, complemented
3C61×#3565C214yesmaximal, complemented
4C61×#3564C214yesmaximal, complemented
5C61×#3564C214yesmaximal, complemented
6C61×#3564C214yesmaximal, complemented
7C61×#3563C212yesmaximal, complemented
8C61×#3563C212yesmaximal, complemented
9C61×#3557C214yesmaximal, complemented
10C61×#3555C214yesmaximal, complemented
11C61×#3553C212yesmaximal, complemented
12C61×#3545C211yesmaximal, characteristic, complemented
13C61×#3544C212yesmaximal, complemented
14C61×#3535C214yesmaximal, complemented
15C61×#3533C212yesmaximal, complemented
16C61×#3531C212yesmaximal, complemented
17C2×C61×#563C211yesmaximal, characteristic, complemented
18C61×#3521C214yesmaximal, complemented
19C61×#3515C212yesmaximal, complemented
20C61×#3510C211yesmaximal, characteristic, complemented
21C61×#3509C212yesmaximal, complemented
22C61×#3495C214yesmaximal, complemented
23C61×#3491C212yesmaximal, complemented
24C61×#564C2212yescomplemented
25C61×#564C2212yescomplemented
26C61×#563C2211yescharacteristic
27C61×#563C2212yes—
28C61×#563C2212yes—
29C61×#563C2212yescomplemented
30C61×#563C2212yescomplemented
31C61×#563C2214yescomplemented
32C61×#563C2211yescharacteristic, complemented
33C61×#563C2212yescomplemented
34C61×#563C2212yescomplemented
35C61×#563C2214yescomplemented
36C61×#563C2214yescomplemented
37C61×#563C2214yescomplemented
38C61×#563C2214yescomplemented
39C61×#563C2214yescomplemented
40C61×#563C2214yescomplemented
41C61×#563C2212yescomplemented
42C61×#563C2214yescomplemented
43C61×#563C2214yescomplemented
44C61×#563C2212yescomplemented
45C61×#563C2211yescharacteristic, complemented
46C61×#562C2212yes—
47C61×#562C2214yescomplemented
48C61×#562C2214yescomplemented
49C61×#562C2214yescomplemented
50C61×H(3,𝔽4)C2211yescharacteristic
51C61×#560C2212yescomplemented
52C61×#559C2212yescomplemented
53C61×#559C2214yescomplemented
54Q82×C61C2212yescomplemented
55C61×#557C2212yescomplemented
56C61×#557C2214yescomplemented
57C61×#557C2214yescomplemented
58C61×#557C2214yescomplemented
59C61×#556C2214yescomplemented
60C61×#556C2214yescomplemented
61C61×#556C2214yescomplemented
62C61×#556C2214yescomplemented
63C61×#556C2214yescomplemented
64C61×#556C2214yescomplemented
65C61×#556C2214yescomplemented
66C61×#556C2214yescomplemented
67C61×#556C2214yescomplemented
68C61×#555C2212yes—
69C61×#555C2212yescomplemented
70C61×#554C2214yescomplemented
71C61×#554C2214yescomplemented
72C61×#554C2214yescomplemented
73C61×#554C2214yescomplemented
74C61×#554C2214yescomplemented
75C61×#554C2212yescomplemented
76C61×#554C2212yescomplemented
77C61×#554C2214yescomplemented
78C61×#553C2212yes—
79C61×#553C2214yescomplemented
80C61×#553C2214yescomplemented
81C61×#553C2214yescomplemented
82C61×#553C2212yescomplemented
83C61×#552C2214yes—
84C61×#552C2214yescomplemented
85C61×#552C2214yescomplemented
86C61×#552C2214yescomplemented
87C61×#552C2214yescomplemented
88C61×#552C2214yescomplemented
89C61×#552C2212yescomplemented
90C61×#552C2214yescomplemented
91C61×#552C2214yescomplemented
92C61×#552C2214yescomplemented
93C61×#552C2214yescomplemented
94C61×#552C2214yescomplemented
95C61×#552C2214yescomplemented
96C61×#552C2214yescomplemented
97C61×#552C2214yescomplemented
98C61×#552C2214yescomplemented
99C61×#552C2214yescomplemented
100C61×#552C2214yescomplemented
101C61×#552C2214yescomplemented
102C61×#552C2214yescomplemented
103C61×#552C2212yescomplemented
104C61×#552C2214yescomplemented
105C61×#551C2212yes—
106C61×#551C2214yes—
107C61×#551C2214yes—
108C61×#551C2214yes—
109C61×#551C2214yes—
110C61×#551C2212yescomplemented
111C61×#551C2214yescomplemented
112C61×#551C2214yescomplemented
113C61×#551C2214yescomplemented
114C61×#551C2214yescomplemented
115C61×#551C2214yescomplemented
116C61×#551C2214yescomplemented
117C61×#551C2214yescomplemented
118C61×#551C2214yescomplemented
119C61×#547C2214yes—
120C61×#547C2212yes—
121C61×#547C2214yescomplemented
122C61×#546C2214yes—
123C61×#546C2214yescomplemented
124C61×#544C2214yescomplemented
125C61×#544C2214yescomplemented
126C61×#544C2214yescomplemented
127C61×#544C2214yescomplemented
128C61×#544C2214yescomplemented
129C61×#543C2212yescomplemented
130C61×#543C2214yescomplemented
131C61×#542C2214yes—
132C61×#542C2214yes—
133C61×#542C2212yes—
134C61×#542C2214yescomplemented
135C61×#542C2214yescomplemented
136C61×#542C2214yescomplemented
137C61×#542C2214yescomplemented
138C61×#542C2214yescomplemented
139C61×#542C2214yescomplemented
140C61×#542C2214yescomplemented
141C61×#542C2214yescomplemented
142C61×#542C2214yescomplemented
143C61×#542C2212yescomplemented
144C61×#541C2214yescomplemented
145C61×#541C2214yescomplemented
146C61×#541C2214yescomplemented
147C61×#541C2214yescomplemented
148C61×#541C2214yescomplemented
149C61×#541C2214yescomplemented
150C61×#541C2214yescomplemented
151C61×#541C2214yescomplemented
152C61×#541C2214yescomplemented
153C61×#541C2214yescomplemented
154C61×#541C2214yescomplemented
155C61×#541C2214yescomplemented
156C61×#541C2214yescomplemented
157C61×#540C2214yes—
158C61×#539C2214yes—
159C61×#539C2214yes—
160C61×#539C2214yes—
161C61×#539C2214yescomplemented
162C61×#539C2214yescomplemented
163C61×#539C2214yescomplemented
164C61×#539C2214yescomplemented
165C61×#539C2214yescomplemented
166C61×#539C2214yescomplemented
167C61×#539C2214yescomplemented
168C61×#539C2214yescomplemented
169C61×#539C2214yescomplemented
170C61×#538C2214yes—
171C61×#538C2214yes—
172C61×#538C2214yes—
173C61×#538C2214yescomplemented
174C61×#538C2214yescomplemented
175C61×#536C2212yes—
176C61×#536C2212yes—
177C61×#536C2211yescharacteristic, complemented
178C61×#536C2214yescomplemented
179C61×#535C2211yescharacteristic
180C61×#534C2212yes—
181C61×#533C2214yescomplemented
182C61×#533C2214yescomplemented
183C61×#533C2214yescomplemented
184C61×#533C2211yescharacteristic, complemented
185C61×#533C2212yescomplemented
186C61×#533C2212yescomplemented
187C61×#533C2214yescomplemented
188C2×C4⋊Q8×C61C2212yescomplemented
189C61×#529C2212yes—
190C61×#529C2214yes—
191C61×#529C2212yes—
192C61×#529C2214yescomplemented
193C61×#529C2212yescomplemented
194C61×#529C2212yescomplemented
195C61×#529C2214yescomplemented
196C61×#529C2214yescomplemented
197C61×#529C2214yescomplemented
198C61×#529C2214yescomplemented
199C61×#529C2214yescomplemented
200C61×#529C2214yescomplemented
201C61×#529C2212yescomplemented
202C2×#126×C61C2214yescomplemented
203C2×#126×C61C2214yescomplemented
204C2×#125×C61C2212yescomplemented
205C2×#125×C61C2212yescomplemented
206C2×#124×C61C2211yescharacteristic
207C61×#525C2214yes—
208C2×#123×C61C2212yes—
209C2×#123×C61C2212yescomplemented
210C2×C22⋊Q8×C61C2214yescomplemented
211C61×#520C2214yescomplemented
212C61×#519C2212yescomplemented
213C61×#519C2211yescharacteristic, complemented
214C61×#518C2211yescharacteristic
215C61×#518C2212yescomplemented
216C4×#41×C61C2212yes—
217C4×#41×C61C2211yescharacteristic, complemented
218C2×#117×C61C2212yescomplemented
219C2×#41×C61C2311yescharacteristic
220C2×#41×C61C2312yes—
221C2×#41×C61C2314yes—
222C22×Q8×C61C2311yescharacteristic
223C22×Q8×C61C2312yes—
224C22×D4×C61C2311yescharacteristic
225C22×D4×C61C2312yes—
226C23×C4×C61C2312yes—
227C4⋊Q8×C61C2312yes—
228C4⋊Q8×C61C2312yes—
229C4⋊Q8×C61C2312yes—
230C4⋊Q8×C61C2312yes—
231C4⋊Q8×C61C2314yes—
232C4⋊Q8×C61C2314yes—
233C4⋊Q8×C61C2314yes—
234C4⋊Q8×C61C2314yes—
235C4⋊Q8×C61C2314yes—
236C4⋊Q8×C61C2312yes—
237C4⋊Q8×C61C2314yes—
238C4⋊Q8×C61C2312yes—
239C4⋊Q8×C61C2314yes—
240C4⋊Q8×C61C2312yes—
241C4⋊Q8×C61C2312yes—
242C4⋊Q8×C61C2314yes—
243C4⋊Q8×C61C2312yes—
244C4⋊Q8×C61C2312yes—
245C4⋊Q8×C61C2314yes—
246C4⋊Q8×C61C2314yes—
247C4⋊Q8×C61C2314yes—
248C4⋊Q8×C61C2314yes—
249C4⋊Q8×C61C2314yes—
250#127×C61C2312yes—
251#126×C61C2314yes—
252#126×C61C2314yes—
253#126×C61C2314yes—
254#126×C61C2314yes—
255#126×C61C2314yes—
256#126×C61C2314yes—
257#126×C61C2314yes—
258#126×C61C2314yes—
259#126×C61C2314yes—
260#126×C61C2314yes—
261#126×C61C2314yes—
262#126×C61C2314yes—
263#126×C61C2314yes—
264#126×C61C2314yes—
265#126×C61C2314yes—
266#126×C61C2314yes—
267#126×C61C2314yes—
268#126×C61C2314yes—
269#126×C61C2314yes—
270#126×C61C2314yes—
271#126×C61C2314yes—
272#126×C61C2314yes—
273#126×C61C2314yes—
274#126×C61C2314yes—
275#126×C61C2314yes—
276#126×C61C2314yes—
277#126×C61C2314yes—
278#126×C61C2314yes—
279#126×C61C2314yes—
280#126×C61C2314yes—
281#126×C61C2314yes—
282#126×C61C2314yes—
283#126×C61C2314yes—
284#126×C61C2314yes—
285#126×C61C2314yes—
286#126×C61C2314yes—
287#126×C61C2314yes—
288#126×C61C2314yes—
289#126×C61C2314yes—
290#126×C61C2314yes—
291#126×C61C2314yes—
292#126×C61C2314yes—
293#126×C61C2314yes—
294#126×C61C2314yes—
295#126×C61C2314yes—
296#125×C61C2314yes—
297#125×C61C2314yes—
298#125×C61C2314yes—
299#125×C61C2314yes—
300#125×C61C2314yes—
301#125×C61C2314yes—
302#125×C61C2314yes—
303#125×C61C2314yes—
304#125×C61C2314yes—
305#125×C61C2312yes—
306#125×C61C2312yes—
307#125×C61C2312yes—
308#125×C61C2314yes—
309#125×C61C2314yes—
310#125×C61C2314yes—
311#125×C61C2314yes—
312#125×C61C2314yes—
313#125×C61C2314yes—
314#125×C61C2314yes—
315#125×C61C2314yes—
316#125×C61C2314yes—
317#125×C61C2314yes—
318#125×C61C2314yes—
319#125×C61C2314yes—
320#125×C61C2314yes—
321#125×C61C2314yes—
322#125×C61C2314yes—
323#125×C61C2314yes—
324#125×C61C2314yes—
325#125×C61C2314yes—
326#125×C61C2314yes—
327#125×C61C2314yes—
328#125×C61C2314yes—
329#125×C61C2314yes—
330#125×C61C2314yes—
331#125×C61C2312yes—
332#125×C61C2312yes—
333#125×C61C2314yes—
334#125×C61C2312yes—
335#125×C61C2314yes—
336#125×C61C2312yes—
337#125×C61C2314yes—
338#125×C61C2314yes—
339#125×C61C2314yes—
340#125×C61C2312yes—
341#124×C61C2312yes—
342#124×C61C2312yes—
343#124×C61C2314yes—
344#124×C61C2312yes—
345#124×C61C2314yes—
346#124×C61C2312yes—
347#124×C61C2314yes—
348#124×C61C2314yes—
349#124×C61C2314yes—
350#124×C61C2314yes—
351#124×C61C2314yes—
352#124×C61C2314yes—
353#124×C61C2314yes—
354#124×C61C2311yescharacteristic
355#124×C61C2314yes—
356#124×C61C2314yes—
357#124×C61C2314yes—
358#124×C61C2314yes—
359#124×C61C2314yes—
360#124×C61C2314yes—
361#124×C61C2311yescharacteristic
362#124×C61C2312yes—
363#124×C61C2311yescharacteristic
364#124×C61C2311yescharacteristic
365#123×C61C2314yes—
366#123×C61C2312yes—
367#123×C61C2312yes—
368#123×C61C2314yes—
369#123×C61C2314yes—
370#123×C61C2314yes—
371#123×C61C2314yes—
372#123×C61C2314yes—
373#123×C61C2314yes—
374#123×C61C2314yes—
375#123×C61C2314yes—
376#123×C61C2314yes—
377#123×C61C2314yes—
378#123×C61C2314yes—
379#123×C61C2314yes—
380#123×C61C2314yes—
381#123×C61C2314yes—
382#123×C61C2314yes—
383#123×C61C2314yes—
384#123×C61C2312yes—
385#123×C61C2314yes—
386#123×C61C2314yes—
387#123×C61C2314yes—
388#123×C61C2314yes—
389#123×C61C2314yes—
390#123×C61C2314yes—
391#123×C61C2314yes—
392#123×C61C2314yes—
393#123×C61C2314yes—
394#123×C61C2314yes—
395#123×C61C2314yes—
396#123×C61C2312yes—
397#123×C61C2314yes—
398#123×C61C2314yes—
399#123×C61C2314yes—
400#123×C61C2314yes—
401#123×C61C2314yes—
402#123×C61C2314yes—
403#123×C61C2314yes—
404#123×C61C2314yes—
405#123×C61C2312yes—
406#123×C61C2312yes—
407#123×C61C2314yes—
408C22⋊Q8×C61C2314yes—
409C22⋊Q8×C61C2314yes—
410C22⋊Q8×C61C2314yes—
411C22⋊Q8×C61C2314yes—
412C22⋊Q8×C61C2314yes—
413C22⋊Q8×C61C2314yes—
414C22⋊Q8×C61C2314yes—
415C22⋊Q8×C61C2314yes—
416C22⋊Q8×C61C2314yes—
417C22⋊Q8×C61C2314yes—
418C22⋊Q8×C61C2314yes—
419C22⋊Q8×C61C2314yes—
420C22⋊Q8×C61C2314yes—
421C22⋊Q8×C61C2314yes—
422C22⋊Q8×C61C2314yes—
423C22⋊Q8×C61C2314yes—
424C22⋊Q8×C61C2314yes—
425C22⋊Q8×C61C2314yes—
426C22⋊Q8×C61C2314yes—
427C22⋊Q8×C61C2314yes—
428C22⋊Q8×C61C2314yes—
429C22⋊Q8×C61C2314yes—
430C22⋊Q8×C61C2312yes—
431C22⋊Q8×C61C2312yes—
432C22⋊Q8×C61C2314yes—
433C22⋊Q8×C61C2314yes—
434C22⋊Q8×C61C2314yes—
435C22⋊Q8×C61C2314yes—
436C22⋊Q8×C61C2314yes—
437C22⋊Q8×C61C2314yes—
438C22⋊Q8×C61C2314yes—
439C22⋊Q8×C61C2314yes—
440C22⋊Q8×C61C2314yes—
441C22⋊Q8×C61C2314yes—
442C22⋊Q8×C61C2314yes—
443C22⋊Q8×C61C2314yes—
444C22⋊Q8×C61C2314yes—
445C22⋊Q8×C61C2314yes—
446C22⋊Q8×C61C2314yes—
447C22⋊Q8×C61C2314yes—
448C22⋊Q8×C61C2314yes—
449C22⋊Q8×C61C2314yes—
450C22⋊Q8×C61C2314yes—
451C22⋊Q8×C61C2314yes—
452C22⋊Q8×C61C2314yes—
453C22⋊Q8×C61C2314yes—
454C22⋊Q8×C61C2314yes—
455C22⋊Q8×C61C2314yes—
456C22⋊Q8×C61C2314yes—
457C22⋊Q8×C61C2314yes—
458C22⋊Q8×C61C2314yes—
459C22⋊Q8×C61C2314yes—
460C22⋊Q8×C61C2314yes—
461C22⋊Q8×C61C2312yes—
462C22⋊Q8×C61C2314yes—
463C22⋊Q8×C61C2312yes—
464C22⋊Q8×C61C2314yes—
465C22⋊Q8×C61C2314yes—
466C22⋊Q8×C61C2312yes—
467#121×C61C2314yes—
468#121×C61C2314yes—
469#121×C61C2312yes—
470#121×C61C2312yes—
471#121×C61C2314yes—
472#121×C61C2314yes—
473#121×C61C2314yes—
474#121×C61C2314yes—
475#121×C61C2314yes—
476#121×C61C2314yes—
477#121×C61C2314yes—
478#121×C61C2312yes—
479#121×C61C2312yes—
480#121×C61C2312yes—
481#121×C61C2314yes—
482#121×C61C2314yes—
483#121×C61C2314yes—
484#121×C61C2314yes—
485#120×C61C2312yes—
486#120×C61C2312yes—
487#120×C61C2314yes—
488#120×C61C2314yes—
489#120×C61C2314yes—
490#120×C61C2314yes—
491C4×Q8×C61C2314yes—
492C4×Q8×C61C2312yes—
493C4×Q8×C61C2314yes—
494C4×Q8×C61C2314yes—
495C4×Q8×C61C2312yes—
496C4×Q8×C61C2314yes—
497C4×Q8×C61C2314yes—
498C4×Q8×C61C2314yes—
499C4×Q8×C61C2314yes—
500C4×Q8×C61C2314yes—
501C4×Q8×C61C2314yes—
502C4×Q8×C61C2314yes—
503C4×Q8×C61C2314yes—
504C4×Q8×C61C2314yes—
505C4×Q8×C61C2314yes—
506C4×Q8×C61C2314yes—
507C4×Q8×C61C2314yes—
508C4×Q8×C61C2314yes—
509C4×Q8×C61C2312yes—
510C4×Q8×C61C2312yes—
511C4×Q8×C61C2314yes—
512C4×Q8×C61C2314yes—
513C4×Q8×C61C2314yes—
514C4×Q8×C61C2314yes—
515C4×Q8×C61C2312yes—
516C4×Q8×C61C2312yes—
517C4×D4×C61C2312yes—
518C4×D4×C61C2314yes—
519C4×D4×C61C2314yes—
520C4×D4×C61C2314yes—
521C4×D4×C61C2314yes—
522C4×D4×C61C2314yes—
523C4×D4×C61C2314yes—
524C4×D4×C61C2314yes—
525C4×D4×C61C2314yes—
526C4×D4×C61C2314yes—
527C4×D4×C61C2314yes—
528C4×D4×C61C2314yes—
529C4×D4×C61C2314yes—
530C4×D4×C61C2314yes—
531C4×D4×C61C2314yes—
532C4×D4×C61C2312yes—
533C4×D4×C61C2312yes—
534C4×D4×C61C2312yes—
535C4×D4×C61C2314yes—
536C4×D4×C61C2312yes—
537C4×D4×C61C2314yes—
538C4×D4×C61C2314yes—
539C4×D4×C61C2314yes—
540C4×D4×C61C2314yes—
541C4×D4×C61C2314yes—
542C4×D4×C61C2314yes—
543C4×D4×C61C2314yes—
544C4×D4×C61C2312yes—
545C4×D4×C61C2314yes—
546C4×D4×C61C2314yes—
547C4×D4×C61C2314yes—
548C4×D4×C61C2312yes—
549C4×D4×C61C2312yes—
550C4×D4×C61C2314yes—
551#117×C61C2311yescharacteristic
552#117×C61C2312yes—
553#117×C61C2312yes—
554#117×C61C2311yescharacteristic
555#117×C61C2314yes—
556#117×C61C2314yes—
557#117×C61C2314yes—
558#117×C61C2314yes—
559#117×C61C2314yes—
560#117×C61C2314yes—
561#117×C61C2314yes—
562#117×C61C2314yes—
563#117×C61C2312yes—
564#117×C61C2312yes—
565#117×C61C2314yes—
566#117×C61C2314yes—
567#117×C61C2314yes—
568#117×C61C2314yes—
569#117×C61C2314yes—
570#117×C61C2314yes—
571#117×C61C2314yes—
572#117×C61C2314yes—
573#117×C61C2314yes—
574#117×C61C2314yes—
575#117×C61C2312yes—
576#117×C61C2314yes—
577#117×C61C2314yes—
578#117×C61C2314yes—
579#117×C61C2314yes—
580#117×C61C2314yes—
581#117×C61C2314yes—
582#117×C61C2314yes—
583#117×C61C2312yes—
584#117×C61C2311yescharacteristic
585C2×C4⋊C4×C61C2314yes—
586C2×C4⋊C4×C61C2314yes—
587C2×C4⋊C4×C61C2314yes—
588C2×C4⋊C4×C61C2314yes—
589C2×C4⋊C4×C61C2314yes—
590C2×C4⋊C4×C61C2312yes—
591C2×C4⋊C4×C61C2312yes—
592C2×C4⋊C4×C61C2314yes—
593C2×C4⋊C4×C61C2314yes—
594C2×C4⋊C4×C61C2314yes—
595C2×C4⋊C4×C61C2314yes—
596C2×C4⋊C4×C61C2314yes—
597C2×C4⋊C4×C61C2312yes—
598C2×C4⋊C4×C61C2312yes—
599C2×C22⋊C4×C61C2312yes—
600C2×C22⋊C4×C61C2312yes—
601C2×C22⋊C4×C61C2314yes—
602C2×C22⋊C4×C61C2314yes—
603C2×C22⋊C4×C61C2314yes—
604C2×C22⋊C4×C61C2314yes—
605C2×C22⋊C4×C61C2312yes—
606C2×C22⋊C4×C61C2314yes—
607C2×C22⋊C4×C61C2314yes—
608C2×C22⋊C4×C61C2312yes—
609C2×C42×C61C2312yes—
610C2×C42×C61C2314yes—
611C2×C42×C61C2314yes—
612C2×C42×C61C2311yescharacteristic
613C2×C42×C61C2312yes—
614C24×C61C2412yes—
615C24×C61C2412yes—
616#41×C61—48no—
617#41×C61—42no—
618#41×C61—44no—
619C2×Q8×C61—44no—
620C2×Q8×C61—42no—
621C2×Q8×C61C2414yes—
622C2×Q8×C61C2414yes—
623C2×Q8×C61C2414yes—
624C2×Q8×C61C2412yes—
625C2×Q8×C61C2414yes—
626C2×Q8×C61C2412yes—
627C2×Q8×C61C2414yes—
628C2×Q8×C61C2411yescharacteristic
629C2×Q8×C61C2412yes—
630C2×Q8×C61C2414yes—
631C2×Q8×C61C2412yes—
632C2×Q8×C61C2411yescharacteristic
633C2×Q8×C61C2411yescharacteristic
634C2×Q8×C61C2412yes—
635C2×D4×C61—42no—
636C2×D4×C61—44no—
637C2×D4×C61C2412yes—
638C2×D4×C61C2414yes—
639C2×D4×C61C2414yes—
640C2×D4×C61C2412yes—
641C2×D4×C61C2414yes—
642C2×D4×C61C2414yes—
643C2×D4×C61C2414yes—
644C2×D4×C61C2414yes—
645C2×D4×C61C2412yes—
646C2×D4×C61C2411yescharacteristic
647C2×D4×C61C2414yes—
648C2×D4×C61C2412yes—
649C2×D4×C61C2414yes—
650C2×D4×C61C2411yescharacteristic
651C2×D4×C61C2411yescharacteristic
652C22×C4×C61—44no—
653C22×C4×C61C2412yes—
654C22×C4×C61C2411yescharacteristic
655C22×C4×C61C2414yes—
656C22×C4×C61C2412yes—
657C22×C4×C61C2414yes—
658C22×C4×C61C2412yes—
659C22×C4×C61C2414yes—
660C22×C4×C61C2414yes—
661C22×C4×C61C2414yes—
662C22×C4×C61C2414yes—
663C22×C4×C61C2414yes—
664C22×C4×C61C2412yes—
665C22×C4×C61C2412yes—
666C22×C4×C61C2412yes—
667C22×C4×C61C2414yes—
668C22×C4×C61C2414yes—
669C22×C4×C61C2414yes—
670C22×C4×C61C2414yes—
671C22×C4×C61C2414yes—
672C22×C4×C61C2414yes—
673C22×C4×C61C2414yes—
674C22×C4×C61C2412yes—
675C22×C4×C61C2412yes—
676C4⋊C4×C61C2414yes—
677C4⋊C4×C61C2412yes—
678C4⋊C4×C61C2414yes—
679C4⋊C4×C61C2414yes—
680C4⋊C4×C61C2412yes—
681C4⋊C4×C61C2414yes—
682C4⋊C4×C61C2414yes—
683C4⋊C4×C61C2412yes—
684C4⋊C4×C61C2414yes—
685C4⋊C4×C61C2414yes—
686C4⋊C4×C61C2414yes—
687C4⋊C4×C61C2414yes—
688C4⋊C4×C61C2414yes—
689C4⋊C4×C61C2414yes—
690C4⋊C4×C61C2414yes—
691C4⋊C4×C61C2414yes—
692C4⋊C4×C61C2414yes—
693C4⋊C4×C61C2414yes—
694C4⋊C4×C61C2412yes—
695C4⋊C4×C61C2412yes—
696C4⋊C4×C61C2412yes—
697C4⋊C4×C61C2414yes—
698C4⋊C4×C61C2412yes—
699C4⋊C4×C61C2414yes—
700C4⋊C4×C61C2414yes—
701C4⋊C4×C61C2414yes—
702C4⋊C4×C61C2414yes—
703C4⋊C4×C61C2414yes—
704C4⋊C4×C61C2414yes—
705C4⋊C4×C61C2414yes—
706C4⋊C4×C61C2414yes—
707C4⋊C4×C61C2414yes—
708C4⋊C4×C61C2414yes—
709C4⋊C4×C61C2414yes—
710C4⋊C4×C61C2414yes—
711C4⋊C4×C61C2414yes—
712C4⋊C4×C61C2414yes—
713C4⋊C4×C61C2414yes—
714C4⋊C4×C61C2414yes—
715C4⋊C4×C61C2414yes—
716C4⋊C4×C61C2414yes—
717C4⋊C4×C61C2414yes—
718C4⋊C4×C61C2414yes—
719C4⋊C4×C61C2414yes—
720C4⋊C4×C61C2414yes—
721C4⋊C4×C61C2414yes—
722C4⋊C4×C61C2414yes—
723C4⋊C4×C61C2414yes—
724C4⋊C4×C61C2412yes—
725C4⋊C4×C61C2412yes—
726C4⋊C4×C61C2414yes—
727C4⋊C4×C61C2414yes—
728C4⋊C4×C61C2414yes—
729C4⋊C4×C61C2412yes—
730C4⋊C4×C61C2412yes—
731C4⋊C4×C61C2414yes—
732C4⋊C4×C61C2414yes—
733C4⋊C4×C61C2414yes—
734C4⋊C4×C61C2414yes—
735C4⋊C4×C61C2414yes—
736C4⋊C4×C61C2414yes—
737C4⋊C4×C61C2414yes—
738C4⋊C4×C61C2414yes—
739C4⋊C4×C61C2414yes—
740C4⋊C4×C61C2414yes—
741C4⋊C4×C61C2414yes—
742C4⋊C4×C61C2414yes—
743C22⋊C4×C61C2411yescharacteristic
744C22⋊C4×C61C2411yescharacteristic
745C22⋊C4×C61C2412yes—
746C22⋊C4×C61C2414yes—
747C22⋊C4×C61C2414yes—
748C22⋊C4×C61C2414yes—
749C22⋊C4×C61C2414yes—
750C22⋊C4×C61C2414yes—
751C22⋊C4×C61C2414yes—
752C22⋊C4×C61C2412yes—
753C22⋊C4×C61C2412yes—
754C22⋊C4×C61C2414yes—
755C22⋊C4×C61C2414yes—
756C22⋊C4×C61C2414yes—
757C22⋊C4×C61C2414yes—
758C22⋊C4×C61C2414yes—
759C22⋊C4×C61C2414yes—
760C22⋊C4×C61C2414yes—
761C22⋊C4×C61C2414yes—
762C22⋊C4×C61C2414yes—
763C22⋊C4×C61C2414yes—
764C22⋊C4×C61C2414yes—
765C22⋊C4×C61C2414yes—
766C22⋊C4×C61C2414yes—
767C22⋊C4×C61C2414yes—
768C22⋊C4×C61C2414yes—
769C22⋊C4×C61C2414yes—
770C22⋊C4×C61C2412yes—
771C22⋊C4×C61C2412yes—
772C22⋊C4×C61C2414yes—
773C22⋊C4×C61C2414yes—
774C22⋊C4×C61C2412yes—
775C22⋊C4×C61C2412yes—
776C22⋊C4×C61C2414yes—
777C22⋊C4×C61C2414yes—
778C22⋊C4×C61C2414yes—
779C22⋊C4×C61C2414yes—
780C22⋊C4×C61C2414yes—
781C22⋊C4×C61C2414yes—
782C22⋊C4×C61C2414yes—
783C22⋊C4×C61C2414yes—
784C22⋊C4×C61C2414yes—
785C22⋊C4×C61C2414yes—
786C22⋊C4×C61C2414yes—
787C22⋊C4×C61C2414yes—
788C22⋊C4×C61C2412yes—
789C22⋊C4×C61C2414yes—
790C22⋊C4×C61C2414yes—
791C42×C61C2411yescharacteristic
792C42×C61C2412yes—
793C42×C61C2411yescharacteristic
794C42×C61C2414yes—
795C42×C61C2414yes—
796C42×C61C2412yes—
797C42×C61C2414yes—
798C42×C61C2412yes—
799C42×C61C2414yes—
800C42×C61C2414yes—
801C42×C61C2412yes—
802C42×C61C2412yes—
803C42×C61C2414yes—
804C42×C61C2414yes—
805C42×C61C2414yes—
806C42×C61C2412yes—
807C42×C61C2414yes—
808C42×C61C2414yes—
809C42×C61C2414yes—
810C42×C61C2414yes—
811C42×C61C2414yes—
812C42×C61C2412yes—
813C42×C61C2412yes—
814C42×C61C2414yes—
815C42×C61C2412yes—
816C42×C61C2412yes—
817C23×C61—24no—
818C23×C61—44no—
819C23×C61—42no—
820C23×C61—44no—
821C23×C61C2512yes—
822C23×C61C2514yes—
823C23×C61C2512yes—
824C23×C61C2512yes—
825C23×C61C2511yescharacteristic
826Q8×C61—42no—
827Q8×C61—44no—
828Q8×C61—41no—
829Q8×C61—41no—
830Q8×C61—42no—
831Q8×C61—42no—
832Q8×C61—44no—
833Q8×C61—44no—
834Q8×C61—42no—
835Q8×C61—44no—
836Q8×C61—44no—
837Q8×C61—44no—
838Q8×C61—41no—
839Q8×C61—42no—
840D4×C61—28no—
841D4×C61—24no—
842D4×C61—41no—
843D4×C61—41no—
844D4×C61—42no—
845D4×C61—44no—
846D4×C61—44no—
847D4×C61—42no—
848D4×C61—44no—
849D4×C61—44no—
850D4×C61—44no—
851D4×C61—44no—
852D4×C61—44no—
853D4×C61—41no—
854D4×C61—42no—
855C2×C4×C61—28no—
856C2×C4×C61—22no—
857C2×C4×C61—24no—
858C2×C4×C61—42no—
859C2×C4×C61—44no—
860C2×C4×C61—42no—
861C2×C4×C61—42no—
862C2×C4×C61—44no—
863C2×C4×C61—44no—
864C2×C4×C61—44no—
865C2×C4×C61—44no—
866C2×C4×C61—42no—
867C2×C4×C61—44no—
868C2×C4×C61—44no—
869C2×C4×C61—42no—
870C2×C4×C61—44no—
871C2×C4×C61—44no—
872C2×C4×C61—44no—
873C2×C4×C61—42no—
874C2×C4×C61—44no—
875C2×C4×C61—44no—
876C2×C4×C61—42no—
877C2×C4×C61—44no—
878C2×C4×C61C2512yes—
879C2×C4×C61C2514yes—
880C2×C4×C61C2512yes—
881C2×C4×C61C2514yes—
882C2×C4×C61C2511yescharacteristic
883C2×C4×C61C2514yes—
884C2×C4×C61C2514yes—
885C2×C4×C61C2512yes—
886C2×C4×C61C2512yes—
887C2×C4×C61C2512yes—
888C2×C4×C61C2512yes—
889C2×C4×C61C2514yes—
890C2×C4×C61C2514yes—
891C2×C4×C61C2514yes—
892C2×C4×C61C2512yes—
893C2×C4×C61C2511yescharacteristic
894C2×C4×C61C2514yes—
895C2×C4×C61C2514yes—
896#63064C6111yesmaximal, characteristic, direct product factor, Sylow
897C22×C61—22no—
898C22×C61—22no—
899C22×C61—22no—
900C22×C61—24no—
901C22×C61—22no—
902C22×C61—22no—
903C22×C61—24no—
904C22×C61—24no—
905C22×C61—24no—
906C22×C61—22no—
907C22×C61—24no—
908C22×C61—84no—
909C22×C61—162no—
910C22×C61#58512yes—
911C22×C61C2611yescharacteristic
912C4×C61—24no—
913C4×C61—21no—
914C4×C61—24no—
915C4×C61—22no—
916C4×C61—21no—
917C4×C61—22no—
918C4×C61—24no—
919C4×C61—22no—
920C4×C61—22no—
921C4×C61—22no—
922C4×C61—24no—
923C4×C61—24no—
924C4×C61—24no—
925C4×C61—24no—
926C4×C61—22no—
927C4×C61—22no—
928C4×C61—24no—
929C4×C61—24no—
930#3568C2×C6112yescomplemented
931#3566C2×C6114yescomplemented
932#3565C2×C6114yescomplemented
933#3564C2×C6114yescomplemented
934#3564C2×C6114yescomplemented
935#3564C2×C6114yescomplemented
936#3563C2×C6112yescomplemented
937#3563C2×C6112yescomplemented
938#3557C2×C6114yescomplemented
939#3555C2×C6114yescomplemented
940#3553C2×C6112yescomplemented
941#3545C2×C6111yescharacteristic, complemented
942#3544C2×C6112yescomplemented
943#3535C2×C6114yescomplemented
944#3533C2×C6112yescomplemented
945#3531C2×C6112yescomplemented
946C2×#563C2×C6111yescharacteristic, complemented
947#3521C2×C6114yescomplemented
948#3515C2×C6112yescomplemented
949#3510C2×C6111yescharacteristic, complemented
950#3509C2×C6112yescomplemented
951#3495C2×C6114yescomplemented
952#3491C2×C6112yescomplemented
953C2×C61—22no—
954C2×C61—42no—
955C2×C61—42no—
956C2×C61—42no—
957C2×C61—44no—
958C2×C61C2×#58511yescharacteristic
959C2×C612−1+612yes—
960#564C22×C6112yescomplemented
961#564C22×C6112yescomplemented
962#563C22×C6112yes—
963#563C22×C6112yes—
964#563C22×C6111yescharacteristic
965#563C22×C6111yescharacteristic, complemented
966#563C22×C6111yescharacteristic, complemented
967#563C22×C6114yescomplemented
968#563C22×C6114yescomplemented
969#563C22×C6112yescomplemented
970#563C22×C6114yescomplemented
971#563C22×C6114yescomplemented
972#563C22×C6114yescomplemented
973#563C22×C6112yescomplemented
974#563C22×C6114yescomplemented
975#563C22×C6112yescomplemented
976#563C22×C6114yescomplemented
977#563C22×C6112yescomplemented
978#563C22×C6112yescomplemented
979#563C22×C6112yescomplemented
980#563C22×C6114yescomplemented
981#563C22×C6114yescomplemented
982#562C22×C6112yes—
983#562C22×C6114yescomplemented
984#562C22×C6114yescomplemented
985#562C22×C6114yescomplemented
986H(3,𝔽4)C22×C6111yescharacteristic
987#560C22×C6112yescomplemented
988#559C22×C6114yescomplemented
989#559C22×C6112yescomplemented
990Q82C22×C6112yescomplemented
991#557C22×C6114yescomplemented
992#557C22×C6114yescomplemented
993#557C22×C6112yescomplemented
994#557C22×C6114yescomplemented
995#556C22×C6114yescomplemented
996#556C22×C6114yescomplemented
997#556C22×C6114yescomplemented
998#556C22×C6114yescomplemented
999#556C22×C6114yescomplemented
1000#556C22×C6114yescomplemented
1001#556C22×C6114yescomplemented
1002#556C22×C6114yescomplemented
1003#556C22×C6114yescomplemented
1004#555C22×C6112yes—
1005#555C22×C6112yescomplemented
1006#554C22×C6114yescomplemented
1007#554C22×C6114yescomplemented
1008#554C22×C6112yescomplemented
1009#554C22×C6112yescomplemented
1010#554C22×C6114yescomplemented
1011#554C22×C6114yescomplemented
1012#554C22×C6114yescomplemented
1013#554C22×C6114yescomplemented
1014#553C22×C6112yes—
1015#553C22×C6112yescomplemented
1016#553C22×C6114yescomplemented
1017#553C22×C6114yescomplemented
1018#553C22×C6114yescomplemented
1019#552C22×C6114yes—
1020#552C22×C6114yescomplemented
1021#552C22×C6114yescomplemented
1022#552C22×C6114yescomplemented
1023#552C22×C6112yescomplemented
1024#552C22×C6114yescomplemented
1025#552C22×C6114yescomplemented
1026#552C22×C6114yescomplemented
1027#552C22×C6114yescomplemented
1028#552C22×C6114yescomplemented
1029#552C22×C6114yescomplemented
1030#552C22×C6114yescomplemented
1031#552C22×C6114yescomplemented
1032#552C22×C6114yescomplemented
1033#552C22×C6112yescomplemented
1034#552C22×C6114yescomplemented
1035#552C22×C6114yescomplemented
1036#552C22×C6114yescomplemented
1037#552C22×C6114yescomplemented
1038#552C22×C6114yescomplemented
1039#552C22×C6114yescomplemented
1040#552C22×C6114yescomplemented
1041#551C22×C6114yes—
1042#551C22×C6114yes—
1043#551C22×C6114yes—
1044#551C22×C6114yes—
1045#551C22×C6112yes—
1046#551C22×C6114yescomplemented
1047#551C22×C6114yescomplemented
1048#551C22×C6114yescomplemented
1049#551C22×C6114yescomplemented
1050#551C22×C6114yescomplemented
1051#551C22×C6114yescomplemented
1052#551C22×C6112yescomplemented
1053#551C22×C6114yescomplemented
1054#551C22×C6114yescomplemented
1055#547C22×C6112yes—
1056#547C22×C6114yes—
1057#547C22×C6114yescomplemented
1058#546C22×C6114yes—
1059#546C22×C6114yescomplemented
1060#544C22×C6114yescomplemented
1061#544C22×C6114yescomplemented
1062#544C22×C6114yescomplemented
1063#544C22×C6114yescomplemented
1064#544C22×C6114yescomplemented
1065#543C22×C6112yescomplemented
1066#543C22×C6114yescomplemented
1067#542C22×C6112yes—
1068#542C22×C6114yes—
1069#542C22×C6114yes—
1070#542C22×C6114yescomplemented
1071#542C22×C6114yescomplemented
1072#542C22×C6112yescomplemented
1073#542C22×C6114yescomplemented
1074#542C22×C6114yescomplemented
1075#542C22×C6114yescomplemented
1076#542C22×C6114yescomplemented
1077#542C22×C6114yescomplemented
1078#542C22×C6114yescomplemented
1079#542C22×C6114yescomplemented
1080#541C22×C6114yescomplemented
1081#541C22×C6114yescomplemented
1082#541C22×C6114yescomplemented
1083#541C22×C6114yescomplemented
1084#541C22×C6114yescomplemented
1085#541C22×C6114yescomplemented
1086#541C22×C6114yescomplemented
1087#541C22×C6114yescomplemented
1088#541C22×C6114yescomplemented
1089#541C22×C6114yescomplemented
1090#541C22×C6114yescomplemented
1091#541C22×C6114yescomplemented
1092#541C22×C6114yescomplemented
1093#540C22×C6114yes—
1094#539C22×C6114yes—
1095#539C22×C6114yes—
1096#539C22×C6114yes—
1097#539C22×C6114yescomplemented
1098#539C22×C6114yescomplemented
1099#539C22×C6114yescomplemented
1100#539C22×C6114yescomplemented
1101#539C22×C6114yescomplemented
1102#539C22×C6114yescomplemented
1103#539C22×C6114yescomplemented
1104#539C22×C6114yescomplemented
1105#539C22×C6114yescomplemented
1106#538C22×C6114yes—
1107#538C22×C6114yes—
1108#538C22×C6114yes—
1109#538C22×C6114yescomplemented
1110#538C22×C6114yescomplemented
1111#536C22×C6112yes—
1112#536C22×C6112yes—
1113#536C22×C6114yescomplemented
1114#536C22×C6111yescharacteristic, complemented
1115#535C22×C6111yescharacteristic
1116#534C22×C6112yes—
1117#533C22×C6114yescomplemented
1118#533C22×C6114yescomplemented
1119#533C22×C6114yescomplemented
1120#533C22×C6114yescomplemented
1121#533C22×C6112yescomplemented
1122#533C22×C6111yescharacteristic, complemented
1123#533C22×C6112yescomplemented
1124C2×C4⋊Q8C22×C6112yescomplemented
1125#529C22×C6114yes—
1126#529C22×C6112yes—
1127#529C22×C6112yes—
1128#529C22×C6114yescomplemented
1129#529C22×C6114yescomplemented
1130#529C22×C6114yescomplemented
1131#529C22×C6112yescomplemented
1132#529C22×C6112yescomplemented
1133#529C22×C6112yescomplemented
1134#529C22×C6114yescomplemented
1135#529C22×C6114yescomplemented
1136#529C22×C6114yescomplemented
1137#529C22×C6114yescomplemented
1138C2×#126C22×C6114yescomplemented
1139C2×#126C22×C6114yescomplemented
1140C2×#125C22×C6112yescomplemented
1141C2×#125C22×C6112yescomplemented
1142C2×#124C22×C6111yescharacteristic
1143#525C22×C6114yes—
1144C2×#123C22×C6112yes—
1145C2×#123C22×C6112yescomplemented
1146C2×C22⋊Q8C22×C6114yescomplemented
1147#520C22×C6114yescomplemented
1148#519C22×C6112yescomplemented
1149#519C22×C6111yescharacteristic, complemented
1150#518C22×C6111yescharacteristic
1151#518C22×C6112yescomplemented
1152C4×#41C22×C6112yes—
1153C4×#41C22×C6111yescharacteristic, complemented
1154C2×#117C22×C6112yescomplemented
1155C61#6306411yescharacteristic, direct product factor, Sylow
1156C2×#41C23×C6112yes—
1157C2×#41C23×C6111yescharacteristic
1158C2×#41C23×C6114yes—
1159C22×Q8C23×C6112yes—
1160C22×Q8C23×C6111yescharacteristic
1161C22×D4C23×C6111yescharacteristic
1162C22×D4C23×C6112yes—
1163C23×C4C23×C6112yes—
1164C4⋊Q8C23×C6112yes—
1165C4⋊Q8C23×C6112yes—
1166C4⋊Q8C23×C6112yes—
1167C4⋊Q8C23×C6112yes—
1168C4⋊Q8C23×C6114yes—
1169C4⋊Q8C23×C6114yes—
1170C4⋊Q8C23×C6114yes—
1171C4⋊Q8C23×C6114yes—
1172C4⋊Q8C23×C6114yes—
1173C4⋊Q8C23×C6112yes—
1174C4⋊Q8C23×C6114yes—
1175C4⋊Q8C23×C6112yes—
1176C4⋊Q8C23×C6114yes—
1177C4⋊Q8C23×C6112yes—
1178C4⋊Q8C23×C6112yes—
1179C4⋊Q8C23×C6114yes—
1180C4⋊Q8C23×C6112yes—
1181C4⋊Q8C23×C6112yes—
1182C4⋊Q8C23×C6114yes—
1183C4⋊Q8C23×C6114yes—
1184C4⋊Q8C23×C6114yes—
1185C4⋊Q8C23×C6114yes—
1186C4⋊Q8C23×C6114yes—
1187#127C23×C6112yes—
1188#126C23×C6114yes—
1189#126C23×C6114yes—
1190#126C23×C6114yes—
1191#126C23×C6114yes—
1192#126C23×C6114yes—
1193#126C23×C6114yes—
1194#126C23×C6114yes—
1195#126C23×C6114yes—
1196#126C23×C6114yes—
1197#126C23×C6114yes—
1198#126C23×C6114yes—
1199#126C23×C6114yes—
1200#126C23×C6114yes—
1201#126C23×C6114yes—
1202#126C23×C6114yes—
1203#126C23×C6114yes—
1204#126C23×C6114yes—
1205#126C23×C6114yes—
1206#126C23×C6114yes—
1207#126C23×C6114yes—
1208#126C23×C6114yes—
1209#126C23×C6114yes—
1210#126C23×C6114yes—
1211#126C23×C6114yes—
1212#126C23×C6114yes—
1213#126C23×C6114yes—
1214#126C23×C6114yes—
1215#126C23×C6114yes—
1216#126C23×C6114yes—
1217#126C23×C6114yes—
1218#126C23×C6114yes—
1219#126C23×C6114yes—
1220#126C23×C6114yes—
1221#126C23×C6114yes—
1222#126C23×C6114yes—
1223#126C23×C6114yes—
1224#126C23×C6114yes—
1225#126C23×C6114yes—
1226#126C23×C6114yes—
1227#126C23×C6114yes—
1228#126C23×C6114yes—
1229#126C23×C6114yes—
1230#126C23×C6114yes—
1231#126C23×C6114yes—
1232#126C23×C6114yes—
1233#125C23×C6112yes—
1234#125C23×C6112yes—
1235#125C23×C6112yes—
1236#125C23×C6114yes—
1237#125C23×C6114yes—
1238#125C23×C6114yes—
1239#125C23×C6112yes—
1240#125C23×C6112yes—
1241#125C23×C6112yes—
1242#125C23×C6112yes—
1243#125C23×C6114yes—
1244#125C23×C6112yes—
1245#125C23×C6114yes—
1246#125C23×C6114yes—
1247#125C23×C6114yes—
1248#125C23×C6114yes—
1249#125C23×C6114yes—
1250#125C23×C6114yes—
1251#125C23×C6114yes—
1252#125C23×C6114yes—
1253#125C23×C6114yes—
1254#125C23×C6114yes—
1255#125C23×C6114yes—
1256#125C23×C6114yes—
1257#125C23×C6114yes—
1258#125C23×C6114yes—
1259#125C23×C6114yes—
1260#125C23×C6114yes—
1261#125C23×C6114yes—
1262#125C23×C6114yes—
1263#125C23×C6114yes—
1264#125C23×C6114yes—
1265#125C23×C6114yes—
1266#125C23×C6114yes—
1267#125C23×C6114yes—
1268#125C23×C6114yes—
1269#125C23×C6114yes—
1270#125C23×C6114yes—
1271#125C23×C6114yes—
1272#125C23×C6114yes—
1273#125C23×C6114yes—
1274#125C23×C6114yes—
1275#125C23×C6114yes—
1276#125C23×C6114yes—
1277#125C23×C6114yes—
1278#124C23×C6111yescharacteristic
1279#124C23×C6111yescharacteristic
1280#124C23×C6114yes—
1281#124C23×C6111yescharacteristic
1282#124C23×C6111yescharacteristic
1283#124C23×C6112yes—
1284#124C23×C6114yes—
1285#124C23×C6114yes—
1286#124C23×C6114yes—
1287#124C23×C6114yes—
1288#124C23×C6114yes—
1289#124C23×C6114yes—
1290#124C23×C6114yes—
1291#124C23×C6114yes—
1292#124C23×C6112yes—
1293#124C23×C6112yes—
1294#124C23×C6114yes—
1295#124C23×C6112yes—
1296#124C23×C6112yes—
1297#124C23×C6114yes—
1298#124C23×C6114yes—
1299#124C23×C6114yes—
1300#124C23×C6114yes—
1301#124C23×C6114yes—
1302#123C23×C6112yes—
1303#123C23×C6112yes—
1304#123C23×C6114yes—
1305#123C23×C6112yes—
1306#123C23×C6112yes—
1307#123C23×C6114yes—
1308#123C23×C6114yes—
1309#123C23×C6114yes—
1310#123C23×C6114yes—
1311#123C23×C6114yes—
1312#123C23×C6114yes—
1313#123C23×C6114yes—
1314#123C23×C6114yes—
1315#123C23×C6114yes—
1316#123C23×C6114yes—
1317#123C23×C6114yes—
1318#123C23×C6114yes—
1319#123C23×C6114yes—
1320#123C23×C6114yes—
1321#123C23×C6114yes—
1322#123C23×C6114yes—
1323#123C23×C6114yes—
1324#123C23×C6114yes—
1325#123C23×C6114yes—
1326#123C23×C6114yes—
1327#123C23×C6114yes—
1328#123C23×C6114yes—
1329#123C23×C6114yes—
1330#123C23×C6114yes—
1331#123C23×C6112yes—
1332#123C23×C6112yes—
1333#123C23×C6114yes—
1334#123C23×C6114yes—
1335#123C23×C6114yes—
1336#123C23×C6114yes—
1337#123C23×C6114yes—
1338#123C23×C6114yes—
1339#123C23×C6114yes—
1340#123C23×C6114yes—
1341#123C23×C6114yes—
1342#123C23×C6114yes—
1343#123C23×C6114yes—
1344#123C23×C6114yes—
1345C22⋊Q8C23×C6114yes—
1346C22⋊Q8C23×C6114yes—
1347C22⋊Q8C23×C6114yes—
1348C22⋊Q8C23×C6114yes—
1349C22⋊Q8C23×C6114yes—
1350C22⋊Q8C23×C6114yes—
1351C22⋊Q8C23×C6114yes—
1352C22⋊Q8C23×C6114yes—
1353C22⋊Q8C23×C6114yes—
1354C22⋊Q8C23×C6114yes—
1355C22⋊Q8C23×C6112yes—
1356C22⋊Q8C23×C6114yes—
1357C22⋊Q8C23×C6112yes—
1358C22⋊Q8C23×C6112yes—
1359C22⋊Q8C23×C6114yes—
1360C22⋊Q8C23×C6114yes—
1361C22⋊Q8C23×C6114yes—
1362C22⋊Q8C23×C6112yes—
1363C22⋊Q8C23×C6112yes—
1364C22⋊Q8C23×C6114yes—
1365C22⋊Q8C23×C6114yes—
1366C22⋊Q8C23×C6114yes—
1367C22⋊Q8C23×C6114yes—
1368C22⋊Q8C23×C6114yes—
1369C22⋊Q8C23×C6114yes—
1370C22⋊Q8C23×C6114yes—
1371C22⋊Q8C23×C6114yes—
1372C22⋊Q8C23×C6114yes—
1373C22⋊Q8C23×C6114yes—
1374C22⋊Q8C23×C6114yes—
1375C22⋊Q8C23×C6114yes—
1376C22⋊Q8C23×C6114yes—
1377C22⋊Q8C23×C6114yes—
1378C22⋊Q8C23×C6114yes—
1379C22⋊Q8C23×C6114yes—
1380C22⋊Q8C23×C6114yes—
1381C22⋊Q8C23×C6114yes—
1382C22⋊Q8C23×C6114yes—
1383C22⋊Q8C23×C6114yes—
1384C22⋊Q8C23×C6114yes—
1385C22⋊Q8C23×C6114yes—
1386C22⋊Q8C23×C6114yes—
1387C22⋊Q8C23×C6114yes—
1388C22⋊Q8C23×C6114yes—
1389C22⋊Q8C23×C6114yes—
1390C22⋊Q8C23×C6114yes—
1391C22⋊Q8C23×C6114yes—
1392C22⋊Q8C23×C6114yes—
1393C22⋊Q8C23×C6114yes—
1394C22⋊Q8C23×C6114yes—
1395C22⋊Q8C23×C6114yes—
1396C22⋊Q8C23×C6114yes—
1397C22⋊Q8C23×C6114yes—
1398C22⋊Q8C23×C6114yes—
1399C22⋊Q8C23×C6114yes—
1400C22⋊Q8C23×C6114yes—
1401C22⋊Q8C23×C6114yes—
1402C22⋊Q8C23×C6114yes—
1403C22⋊Q8C23×C6114yes—
1404#121C23×C6114yes—
1405#121C23×C6114yes—
1406#121C23×C6114yes—
1407#121C23×C6112yes—
1408#121C23×C6112yes—
1409#121C23×C6114yes—
1410#121C23×C6112yes—
1411#121C23×C6114yes—
1412#121C23×C6114yes—
1413#121C23×C6114yes—
1414#121C23×C6112yes—
1415#121C23×C6112yes—
1416#121C23×C6114yes—
1417#121C23×C6114yes—
1418#121C23×C6114yes—
1419#121C23×C6114yes—
1420#121C23×C6114yes—
1421#121C23×C6114yes—
1422#120C23×C6114yes—
1423#120C23×C6114yes—
1424#120C23×C6112yes—
1425#120C23×C6112yes—
1426#120C23×C6114yes—
1427#120C23×C6114yes—
1428C4×Q8C23×C6114yes—
1429C4×Q8C23×C6112yes—
1430C4×Q8C23×C6112yes—
1431C4×Q8C23×C6112yes—
1432C4×Q8C23×C6114yes—
1433C4×Q8C23×C6114yes—
1434C4×Q8C23×C6114yes—
1435C4×Q8C23×C6114yes—
1436C4×Q8C23×C6114yes—
1437C4×Q8C23×C6114yes—
1438C4×Q8C23×C6114yes—
1439C4×Q8C23×C6114yes—
1440C4×Q8C23×C6112yes—
1441C4×Q8C23×C6114yes—
1442C4×Q8C23×C6112yes—
1443C4×Q8C23×C6114yes—
1444C4×Q8C23×C6114yes—
1445C4×Q8C23×C6112yes—
1446C4×Q8C23×C6114yes—
1447C4×Q8C23×C6114yes—
1448C4×Q8C23×C6114yes—
1449C4×Q8C23×C6114yes—
1450C4×Q8C23×C6114yes—
1451C4×Q8C23×C6114yes—
1452C4×Q8C23×C6114yes—
1453C4×Q8C23×C6114yes—
1454C4×D4C23×C6114yes—
1455C4×D4C23×C6114yes—
1456C4×D4C23×C6114yes—
1457C4×D4C23×C6112yes—
1458C4×D4C23×C6112yes—
1459C4×D4C23×C6112yes—
1460C4×D4C23×C6114yes—
1461C4×D4C23×C6112yes—
1462C4×D4C23×C6112yes—
1463C4×D4C23×C6114yes—
1464C4×D4C23×C6114yes—
1465C4×D4C23×C6114yes—
1466C4×D4C23×C6114yes—
1467C4×D4C23×C6114yes—
1468C4×D4C23×C6114yes—
1469C4×D4C23×C6114yes—
1470C4×D4C23×C6114yes—
1471C4×D4C23×C6114yes—
1472C4×D4C23×C6114yes—
1473C4×D4C23×C6114yes—
1474C4×D4C23×C6112yes—
1475C4×D4C23×C6114yes—
1476C4×D4C23×C6114yes—
1477C4×D4C23×C6114yes—
1478C4×D4C23×C6112yes—
1479C4×D4C23×C6114yes—
1480C4×D4C23×C6114yes—
1481C4×D4C23×C6114yes—
1482C4×D4C23×C6114yes—
1483C4×D4C23×C6112yes—
1484C4×D4C23×C6114yes—
1485C4×D4C23×C6114yes—
1486C4×D4C23×C6114yes—
1487C4×D4C23×C6114yes—
1488#117C23×C6114yes—
1489#117C23×C6114yes—
1490#117C23×C6114yes—
1491#117C23×C6114yes—
1492#117C23×C6112yes—
1493#117C23×C6114yes—
1494#117C23×C6111yescharacteristic
1495#117C23×C6112yes—
1496#117C23×C6111yescharacteristic
1497#117C23×C6114yes—
1498#117C23×C6114yes—
1499#117C23×C6111yescharacteristic
1500#117C23×C6112yes—
1501#117C23×C6112yes—
1502#117C23×C6114yes—
1503#117C23×C6114yes—
1504#117C23×C6114yes—
1505#117C23×C6114yes—
1506#117C23×C6114yes—
1507#117C23×C6114yes—
1508#117C23×C6114yes—
1509#117C23×C6114yes—
1510#117C23×C6114yes—
1511#117C23×C6114yes—
1512#117C23×C6112yes—
1513#117C23×C6112yes—
1514#117C23×C6114yes—
1515#117C23×C6114yes—
1516#117C23×C6114yes—
1517#117C23×C6114yes—
1518#117C23×C6114yes—
1519#117C23×C6114yes—
1520#117C23×C6114yes—
1521#117C23×C6114yes—
1522C2×C4⋊C4C23×C6114yes—
1523C2×C4⋊C4C23×C6114yes—
1524C2×C4⋊C4C23×C6114yes—
1525C2×C4⋊C4C23×C6114yes—
1526C2×C4⋊C4C23×C6112yes—
1527C2×C4⋊C4C23×C6114yes—
1528C2×C4⋊C4C23×C6114yes—
1529C2×C4⋊C4C23×C6114yes—
1530C2×C4⋊C4C23×C6112yes—
1531C2×C4⋊C4C23×C6114yes—
1532C2×C4⋊C4C23×C6112yes—
1533C2×C4⋊C4C23×C6112yes—
1534C2×C4⋊C4C23×C6114yes—
1535C2×C4⋊C4C23×C6114yes—
1536C2×C22⋊C4C23×C6112yes—
1537C2×C22⋊C4C23×C6112yes—
1538C2×C22⋊C4C23×C6112yes—
1539C2×C22⋊C4C23×C6112yes—
1540C2×C22⋊C4C23×C6114yes—
1541C2×C22⋊C4C23×C6114yes—
1542C2×C22⋊C4C23×C6114yes—
1543C2×C22⋊C4C23×C6114yes—
1544C2×C22⋊C4C23×C6114yes—
1545C2×C22⋊C4C23×C6114yes—
1546C2×C42C23×C6114yes—
1547C2×C42C23×C6112yes—
1548C2×C42C23×C6114yes—
1549C2×C42C23×C6111yescharacteristic
1550C2×C42C23×C6112yes—
1551C24C24×C6112yes—
1552C24C24×C6112yes—
1553#41—48no—
1554#41—42no—
1555#41—44no—
1556C2×Q8—44no—
1557C2×Q8—42no—
1558C2×Q8C24×C6114yes—
1559C2×Q8C24×C6114yes—
1560C2×Q8C24×C6114yes—
1561C2×Q8C24×C6112yes—
1562C2×Q8C24×C6114yes—
1563C2×Q8C24×C6112yes—
1564C2×Q8C24×C6114yes—
1565C2×Q8C24×C6111yescharacteristic
1566C2×Q8C24×C6112yes—
1567C2×Q8C24×C6114yes—
1568C2×Q8C24×C6112yes—
1569C2×Q8C24×C6111yescharacteristic
1570C2×Q8C24×C6111yescharacteristic
1571C2×Q8C24×C6112yes—
1572C2×D4—42no—
1573C2×D4—44no—
1574C2×D4C24×C6112yes—
1575C2×D4C24×C6114yes—
1576C2×D4C24×C6114yes—
1577C2×D4C24×C6114yes—
1578C2×D4C24×C6112yes—
1579C2×D4C24×C6114yes—
1580C2×D4C24×C6114yes—
1581C2×D4C24×C6114yes—
1582C2×D4C24×C6112yes—
1583C2×D4C24×C6111yescharacteristic
1584C2×D4C24×C6114yes—
1585C2×D4C24×C6112yes—
1586C2×D4C24×C6111yescharacteristic
1587C2×D4C24×C6114yes—
1588C2×D4C24×C6111yescharacteristic
1589C22×C4—44no—
1590C22×C4C24×C6112yes—
1591C22×C4C24×C6111yescharacteristic
1592C22×C4C24×C6114yes—
1593C22×C4C24×C6112yes—
1594C22×C4C24×C6114yes—
1595C22×C4C24×C6112yes—
1596C22×C4C24×C6114yes—
1597C22×C4C24×C6114yes—
1598C22×C4C24×C6114yes—
1599C22×C4C24×C6114yes—
1600C22×C4C24×C6114yes—
1601C22×C4C24×C6112yes—
1602C22×C4C24×C6112yes—
1603C22×C4C24×C6112yes—
1604C22×C4C24×C6114yes—
1605C22×C4C24×C6114yes—
1606C22×C4C24×C6114yes—
1607C22×C4C24×C6114yes—
1608C22×C4C24×C6114yes—
1609C22×C4C24×C6114yes—
1610C22×C4C24×C6114yes—
1611C22×C4C24×C6112yes—
1612C22×C4C24×C6112yes—
1613C4⋊C4C24×C6114yes—
1614C4⋊C4C24×C6112yes—
1615C4⋊C4C24×C6114yes—
1616C4⋊C4C24×C6114yes—
1617C4⋊C4C24×C6112yes—
1618C4⋊C4C24×C6114yes—
1619C4⋊C4C24×C6114yes—
1620C4⋊C4C24×C6112yes—
1621C4⋊C4C24×C6114yes—
1622C4⋊C4C24×C6114yes—
1623C4⋊C4C24×C6114yes—
1624C4⋊C4C24×C6114yes—
1625C4⋊C4C24×C6114yes—
1626C4⋊C4C24×C6114yes—
1627C4⋊C4C24×C6114yes—
1628C4⋊C4C24×C6114yes—
1629C4⋊C4C24×C6114yes—
1630C4⋊C4C24×C6112yes—
1631C4⋊C4C24×C6114yes—
1632C4⋊C4C24×C6112yes—
1633C4⋊C4C24×C6112yes—
1634C4⋊C4C24×C6114yes—
1635C4⋊C4C24×C6112yes—
1636C4⋊C4C24×C6114yes—
1637C4⋊C4C24×C6114yes—
1638C4⋊C4C24×C6114yes—
1639C4⋊C4C24×C6114yes—
1640C4⋊C4C24×C6114yes—
1641C4⋊C4C24×C6114yes—
1642C4⋊C4C24×C6114yes—
1643C4⋊C4C24×C6114yes—
1644C4⋊C4C24×C6114yes—
1645C4⋊C4C24×C6114yes—
1646C4⋊C4C24×C6114yes—
1647C4⋊C4C24×C6114yes—
1648C4⋊C4C24×C6114yes—
1649C4⋊C4C24×C6114yes—
1650C4⋊C4C24×C6114yes—
1651C4⋊C4C24×C6114yes—
1652C4⋊C4C24×C6114yes—
1653C4⋊C4C24×C6114yes—
1654C4⋊C4C24×C6114yes—
1655C4⋊C4C24×C6114yes—
1656C4⋊C4C24×C6114yes—
1657C4⋊C4C24×C6114yes—
1658C4⋊C4C24×C6114yes—
1659C4⋊C4C24×C6114yes—
1660C4⋊C4C24×C6114yes—
1661C4⋊C4C24×C6112yes—
1662C4⋊C4C24×C6112yes—
1663C4⋊C4C24×C6114yes—
1664C4⋊C4C24×C6114yes—
1665C4⋊C4C24×C6114yes—
1666C4⋊C4C24×C6112yes—
1667C4⋊C4C24×C6112yes—
1668C4⋊C4C24×C6114yes—
1669C4⋊C4C24×C6114yes—
1670C4⋊C4C24×C6114yes—
1671C4⋊C4C24×C6114yes—
1672C4⋊C4C24×C6114yes—
1673C4⋊C4C24×C6114yes—
1674C4⋊C4C24×C6114yes—
1675C4⋊C4C24×C6114yes—
1676C4⋊C4C24×C6114yes—
1677C4⋊C4C24×C6114yes—
1678C4⋊C4C24×C6114yes—
1679C4⋊C4C24×C6114yes—
1680C22⋊C4C24×C6111yescharacteristic
1681C22⋊C4C24×C6112yes—
1682C22⋊C4C24×C6111yescharacteristic
1683C22⋊C4C24×C6114yes—
1684C22⋊C4C24×C6114yes—
1685C22⋊C4C24×C6114yes—
1686C22⋊C4C24×C6114yes—
1687C22⋊C4C24×C6114yes—
1688C22⋊C4C24×C6114yes—
1689C22⋊C4C24×C6112yes—
1690C22⋊C4C24×C6112yes—
1691C22⋊C4C24×C6114yes—
1692C22⋊C4C24×C6114yes—
1693C22⋊C4C24×C6114yes—
1694C22⋊C4C24×C6114yes—
1695C22⋊C4C24×C6114yes—
1696C22⋊C4C24×C6114yes—
1697C22⋊C4C24×C6114yes—
1698C22⋊C4C24×C6114yes—
1699C22⋊C4C24×C6114yes—
1700C22⋊C4C24×C6114yes—
1701C22⋊C4C24×C6114yes—
1702C22⋊C4C24×C6114yes—
1703C22⋊C4C24×C6114yes—
1704C22⋊C4C24×C6114yes—
1705C22⋊C4C24×C6114yes—
1706C22⋊C4C24×C6114yes—
1707C22⋊C4C24×C6112yes—
1708C22⋊C4C24×C6114yes—
1709C22⋊C4C24×C6112yes—
1710C22⋊C4C24×C6114yes—
1711C22⋊C4C24×C6112yes—
1712C22⋊C4C24×C6112yes—
1713C22⋊C4C24×C6114yes—
1714C22⋊C4C24×C6114yes—
1715C22⋊C4C24×C6114yes—
1716C22⋊C4C24×C6114yes—
1717C22⋊C4C24×C6114yes—
1718C22⋊C4C24×C6114yes—
1719C22⋊C4C24×C6114yes—
1720C22⋊C4C24×C6114yes—
1721C22⋊C4C24×C6114yes—
1722C22⋊C4C24×C6114yes—
1723C22⋊C4C24×C6114yes—
1724C22⋊C4C24×C6114yes—
1725C22⋊C4C24×C6112yes—
1726C22⋊C4C24×C6114yes—
1727C22⋊C4C24×C6114yes—
1728C42C24×C6111yescharacteristic
1729C42C24×C6112yes—
1730C42C24×C6111yescharacteristic
1731C42C24×C6114yes—
1732C42C24×C6114yes—
1733C42C24×C6112yes—
1734C42C24×C6114yes—
1735C42C24×C6112yes—
1736C42C24×C6114yes—
1737C42C24×C6114yes—
1738C42C24×C6112yes—
1739C42C24×C6112yes—
1740C42C24×C6114yes—
1741C42C24×C6114yes—
1742C42C24×C6114yes—
1743C42C24×C6112yes—
1744C42C24×C6114yes—
1745C42C24×C6114yes—
1746C42C24×C6114yes—
1747C42C24×C6114yes—
1748C42C24×C6114yes—
1749C42C24×C6112yes—
1750C42C24×C6112yes—
1751C42C24×C6114yes—
1752C42C24×C6112yes—
1753C42C24×C6112yes—
1754C23—24no—
1755C23—44no—
1756C23—42no—
1757C23—44no—
1758C23C25×C6112yes—
1759C23C25×C6114yes—
1760C23C25×C6112yes—
1761C23C25×C6112yes—
1762C23C25×C6111yescharacteristic
1763Q8—42no—
1764Q8—44no—
1765Q8—41no—
1766Q8—41no—
1767Q8—42no—
1768Q8—42no—
1769Q8—44no—
1770Q8—44no—
1771Q8—42no—
1772Q8—44no—
1773Q8—44no—
1774Q8—44no—
1775Q8—41no—
1776Q8—42no—
1777D4—28no—
1778D4—24no—
1779D4—41no—
1780D4—41no—
1781D4—42no—
1782D4—44no—
1783D4—44no—
1784D4—42no—
1785D4—44no—
1786D4—44no—
1787D4—44no—
1788D4—44no—
1789D4—44no—
1790D4—41no—
1791D4—42no—
1792C2×C4—28no—
1793C2×C4—22no—
1794C2×C4—24no—
1795C2×C4—42no—
1796C2×C4—44no—
1797C2×C4—42no—
1798C2×C4—42no—
1799C2×C4—44no—
1800C2×C4—44no—
1801C2×C4—44no—
1802C2×C4—44no—
1803C2×C4—42no—
1804C2×C4—44no—
1805C2×C4—44no—
1806C2×C4—42no—
1807C2×C4—44no—
1808C2×C4—44no—
1809C2×C4—44no—
1810C2×C4—42no—
1811C2×C4—44no—
1812C2×C4—44no—
1813C2×C4—42no—
1814C2×C4—44no—
1815C2×C4C25×C6112yes—
1816C2×C4C25×C6114yes—
1817C2×C4C25×C6112yes—
1818C2×C4C25×C6114yes—
1819C2×C4C25×C6111yescharacteristic
1820C2×C4C25×C6114yes—
1821C2×C4C25×C6114yes—
1822C2×C4C25×C6112yes—
1823C2×C4C25×C6112yes—
1824C2×C4C25×C6112yes—
1825C2×C4C25×C6112yes—
1826C2×C4C25×C6114yes—
1827C2×C4C25×C6114yes—
1828C2×C4C25×C6114yes—
1829C2×C4C25×C6112yes—
1830C2×C4C25×C6111yescharacteristic
1831C2×C4C25×C6114yes—
1832C2×C4C25×C6114yes—
1833C22—22no—
1834C22—22no—
1835C22—22no—
1836C22—24no—
1837C22—22no—
1838C22—22no—
1839C22—24no—
1840C22—24no—
1841C22—24no—
1842C22—22no—
1843C22—24no—
1844C22—84no—
1845C22—162no—
1846C22C61×#58512yes—
1847C22C26×C6111yescharacteristic
1848C4—24no—
1849C4—21no—
1850C4—24no—
1851C4—22no—
1852C4—21no—
1853C4—22no—
1854C4—24no—
1855C4—22no—
1856C4—22no—
1857C4—22no—
1858C4—24no—
1859C4—24no—
1860C4—24no—
1861C4—24no—
1862C4—22no—
1863C4—22no—
1864C4—24no—
1865C4—24no—
1866C2—22no—
1867C2—42no—
1868C2—42no—
1869C2—44no—
1870C2—42no—
1871C2C2×C61×#58511yescharacteristic
1872C2C61×2−1+612yes—
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×#3565C2semidirect
4. C61×#3564C2semidirect
5. C61×#3564C2semidirect
6. C61×#3564C2semidirect
7. C61×#3563C2semidirect
8. C61×#3563C2semidirect
9. C61×#3557C2semidirect
10. C61×#3555C2semidirect
11. C61×#3553C2semidirect
12. C61×#3545C2semidirect
13. C61×#3544C2semidirect
14. C61×#3535C2semidirect
15. C61×#3533C2semidirect
16. C61×#3531C2semidirect
17. C2×C61×#563C2semidirect
18. C61×#3521C2semidirect
19. C61×#3515C2semidirect
20. C61×#3510C2semidirect
21. C61×#3509C2semidirect
22. C61×#3495C2semidirect
23. C61×#3491C2semidirect
24. C61×#564C22semidirect
25. C61×#564C22semidirect
29. C61×#563C22semidirect
30. C61×#563C22semidirect
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
42. C61×#563C22semidirect
43. C61×#563C22semidirect
44. C61×#563C22semidirect
45. C61×#563C22semidirect
47. C61×#562C22semidirect
48. C61×#562C22semidirect
49. C61×#562C22semidirect
51. C61×#560C22semidirect
52. C61×#559C22semidirect
53. C61×#559C22semidirect
54. Q82×C61C22semidirect
55. C61×#557C22semidirect
56. C61×#557C22semidirect
57. C61×#557C22semidirect
58. C61×#557C22semidirect
59. C61×#556C22semidirect
60. C61×#556C22semidirect
61. C61×#556C22semidirect
62. C61×#556C22semidirect
63. C61×#556C22semidirect
64. C61×#556C22semidirect
65. C61×#556C22semidirect
66. C61×#556C22semidirect
67. C61×#556C22semidirect
69. C61×#555C22semidirect
70. C61×#554C22semidirect
71. C61×#554C22semidirect
72. C61×#554C22semidirect
73. C61×#554C22semidirect
74. C61×#554C22semidirect
75. C61×#554C22semidirect
76. C61×#554C22semidirect
77. C61×#554C22semidirect
79. C61×#553C22semidirect
80. C61×#553C22semidirect
81. C61×#553C22semidirect
82. C61×#553C22semidirect
84. C61×#552C22semidirect
85. C61×#552C22semidirect
86. C61×#552C22semidirect
87. C61×#552C22semidirect
88. C61×#552C22semidirect
89. C61×#552C22semidirect
90. C61×#552C22semidirect
91. C61×#552C22semidirect
92. C61×#552C22semidirect
93. C61×#552C22semidirect
94. C61×#552C22semidirect
95. C61×#552C22semidirect
96. C61×#552C22semidirect
97. C61×#552C22semidirect
98. C61×#552C22semidirect
99. C61×#552C22semidirect
100. C61×#552C22semidirect
101. C61×#552C22semidirect
102. C61×#552C22semidirect
103. C61×#552C22semidirect
104. C61×#552C22semidirect
110. C61×#551C22semidirect
111. C61×#551C22semidirect
112. C61×#551C22semidirect
113. C61×#551C22semidirect
114. C61×#551C22semidirect
115. C61×#551C22semidirect
116. C61×#551C22semidirect
117. C61×#551C22semidirect
118. C61×#551C22semidirect
121. C61×#547C22semidirect
123. C61×#546C22semidirect
124. C61×#544C22semidirect
125. C61×#544C22semidirect
126. C61×#544C22semidirect
127. C61×#544C22semidirect
128. C61×#544C22semidirect
129. C61×#543C22semidirect
130. C61×#543C22semidirect
134. C61×#542C22semidirect
135. C61×#542C22semidirect
136. C61×#542C22semidirect
137. C61×#542C22semidirect
138. C61×#542C22semidirect
139. C61×#542C22semidirect
140. C61×#542C22semidirect
141. C61×#542C22semidirect
142. C61×#542C22semidirect
143. C61×#542C22semidirect
144. C61×#541C22semidirect
145. C61×#541C22semidirect
146. C61×#541C22semidirect
147. C61×#541C22semidirect
148. C61×#541C22semidirect
149. C61×#541C22semidirect
150. C61×#541C22semidirect
151. C61×#541C22semidirect
152. C61×#541C22semidirect
153. C61×#541C22semidirect
154. C61×#541C22semidirect
155. C61×#541C22semidirect
156. C61×#541C22semidirect
161. C61×#539C22semidirect
162. C61×#539C22semidirect
163. C61×#539C22semidirect
164. C61×#539C22semidirect
165. C61×#539C22semidirect
166. C61×#539C22semidirect
167. C61×#539C22semidirect
168. C61×#539C22semidirect
169. C61×#539C22semidirect
173. C61×#538C22semidirect
174. C61×#538C22semidirect
177. C61×#536C22semidirect
178. C61×#536C22semidirect
181. C61×#533C22semidirect
182. C61×#533C22semidirect
183. C61×#533C22semidirect
184. C61×#533C22semidirect
185. C61×#533C22semidirect
186. C61×#533C22semidirect
187. C61×#533C22semidirect
188. C2×C4⋊Q8×C61C22semidirect
192. C61×#529C22semidirect
193. C61×#529C22semidirect
194. C61×#529C22semidirect
195. C61×#529C22semidirect
196. C61×#529C22semidirect
197. C61×#529C22semidirect
198. C61×#529C22semidirect
199. C61×#529C22semidirect
200. C61×#529C22semidirect
201. C61×#529C22semidirect
202. C2×#126×C61C22semidirect
203. C2×#126×C61C22semidirect
204. C2×#125×C61C22semidirect
205. C2×#125×C61C22semidirect
209. C2×#123×C61C22semidirect
210. C2×C22⋊Q8×C61C22semidirect
211. C61×#520C22semidirect
212. C61×#519C22semidirect
213. C61×#519C22semidirect
215. C61×#518C22semidirect
217. C4×#41×C61C22semidirect
218. C2×#117×C61C22semidirect
896. #63064C61direct (N × H)
930. #3568C2×C61semidirect
931. #3566C2×C61semidirect
932. #3565C2×C61semidirect
933. #3564C2×C61semidirect
934. #3564C2×C61semidirect
935. #3564C2×C61semidirect
936. #3563C2×C61semidirect
937. #3563C2×C61semidirect
938. #3557C2×C61semidirect
939. #3555C2×C61semidirect
940. #3553C2×C61semidirect
941. #3545C2×C61semidirect
942. #3544C2×C61semidirect
943. #3535C2×C61semidirect
944. #3533C2×C61semidirect
945. #3531C2×C61semidirect
946. C2×#563C2×C61semidirect
947. #3521C2×C61semidirect
948. #3515C2×C61semidirect
949. #3510C2×C61semidirect
950. #3509C2×C61semidirect
951. #3495C2×C61semidirect
952. #3491C2×C61semidirect
960. #564C22×C61semidirect
961. #564C22×C61semidirect
965. #563C22×C61semidirect
966. #563C22×C61semidirect
967. #563C22×C61semidirect
968. #563C22×C61semidirect
969. #563C22×C61semidirect
970. #563C22×C61semidirect
971. #563C22×C61semidirect
972. #563C22×C61semidirect
973. #563C22×C61semidirect
974. #563C22×C61semidirect
975. #563C22×C61semidirect
976. #563C22×C61semidirect
977. #563C22×C61semidirect
978. #563C22×C61semidirect
979. #563C22×C61semidirect
980. #563C22×C61semidirect
981. #563C22×C61semidirect
983. #562C22×C61semidirect
984. #562C22×C61semidirect
985. #562C22×C61semidirect
987. #560C22×C61semidirect
988. #559C22×C61semidirect
989. #559C22×C61semidirect
990. Q82C22×C61semidirect
991. #557C22×C61semidirect
992. #557C22×C61semidirect
993. #557C22×C61semidirect
994. #557C22×C61semidirect
995. #556C22×C61semidirect
996. #556C22×C61semidirect
997. #556C22×C61semidirect
998. #556C22×C61semidirect
999. #556C22×C61semidirect
1000. #556C22×C61semidirect
1001. #556C22×C61semidirect
1002. #556C22×C61semidirect
1003. #556C22×C61semidirect
1005. #555C22×C61semidirect
1006. #554C22×C61semidirect
1007. #554C22×C61semidirect
1008. #554C22×C61semidirect
1009. #554C22×C61semidirect
1010. #554C22×C61semidirect
1011. #554C22×C61semidirect
1012. #554C22×C61semidirect
1013. #554C22×C61semidirect
1015. #553C22×C61semidirect
1016. #553C22×C61semidirect
1017. #553C22×C61semidirect
1018. #553C22×C61semidirect
1020. #552C22×C61semidirect
1021. #552C22×C61semidirect
1022. #552C22×C61semidirect
1023. #552C22×C61semidirect
1024. #552C22×C61semidirect
1025. #552C22×C61semidirect
1026. #552C22×C61semidirect
1027. #552C22×C61semidirect
1028. #552C22×C61semidirect
1029. #552C22×C61semidirect
1030. #552C22×C61semidirect
1031. #552C22×C61semidirect
1032. #552C22×C61semidirect
1033. #552C22×C61semidirect
1034. #552C22×C61semidirect
1035. #552C22×C61semidirect
1036. #552C22×C61semidirect
1037. #552C22×C61semidirect
1038. #552C22×C61semidirect
1039. #552C22×C61semidirect
1040. #552C22×C61semidirect
1046. #551C22×C61semidirect
1047. #551C22×C61semidirect
1048. #551C22×C61semidirect
1049. #551C22×C61semidirect
1050. #551C22×C61semidirect
1051. #551C22×C61semidirect
1052. #551C22×C61semidirect
1053. #551C22×C61semidirect
1054. #551C22×C61semidirect
1057. #547C22×C61semidirect
1059. #546C22×C61semidirect
1060. #544C22×C61semidirect
1061. #544C22×C61semidirect
1062. #544C22×C61semidirect
1063. #544C22×C61semidirect
1064. #544C22×C61semidirect
1065. #543C22×C61semidirect
1066. #543C22×C61semidirect
1070. #542C22×C61semidirect
1071. #542C22×C61semidirect
1072. #542C22×C61semidirect
1073. #542C22×C61semidirect
1074. #542C22×C61semidirect
1075. #542C22×C61semidirect
1076. #542C22×C61semidirect
1077. #542C22×C61semidirect
1078. #542C22×C61semidirect
1079. #542C22×C61semidirect
1080. #541C22×C61semidirect
1081. #541C22×C61semidirect
1082. #541C22×C61semidirect
1083. #541C22×C61semidirect
1084. #541C22×C61semidirect
1085. #541C22×C61semidirect
1086. #541C22×C61semidirect
1087. #541C22×C61semidirect
1088. #541C22×C61semidirect
1089. #541C22×C61semidirect
1090. #541C22×C61semidirect
1091. #541C22×C61semidirect
1092. #541C22×C61semidirect
1097. #539C22×C61semidirect
1098. #539C22×C61semidirect
1099. #539C22×C61semidirect
1100. #539C22×C61semidirect
1101. #539C22×C61semidirect
1102. #539C22×C61semidirect
1103. #539C22×C61semidirect
1104. #539C22×C61semidirect
1105. #539C22×C61semidirect
1109. #538C22×C61semidirect
1110. #538C22×C61semidirect
1113. #536C22×C61semidirect
1114. #536C22×C61semidirect
1117. #533C22×C61semidirect
1118. #533C22×C61semidirect
1119. #533C22×C61semidirect
1120. #533C22×C61semidirect
1121. #533C22×C61semidirect
1122. #533C22×C61semidirect
1123. #533C22×C61semidirect
1124. C2×C4⋊Q8C22×C61semidirect
1128. #529C22×C61semidirect
1129. #529C22×C61semidirect
1130. #529C22×C61semidirect
1131. #529C22×C61semidirect
1132. #529C22×C61semidirect
1133. #529C22×C61semidirect
1134. #529C22×C61semidirect
1135. #529C22×C61semidirect
1136. #529C22×C61semidirect
1137. #529C22×C61semidirect
1138. C2×#126C22×C61semidirect
1139. C2×#126C22×C61semidirect
1140. C2×#125C22×C61semidirect
1141. C2×#125C22×C61semidirect
1145. C2×#123C22×C61semidirect
1146. C2×C22⋊Q8C22×C61semidirect
1147. #520C22×C61semidirect
1148. #519C22×C61semidirect
1149. #519C22×C61semidirect
1151. #518C22×C61semidirect
1153. C4×#41C22×C61semidirect
1154. C2×#117C22×C61semidirect
1155. C61#63064direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#35682
C61×#35662
C61×#35652
C61×#35642
C61×#35632
C61×#35572
C61×#35552
C61×#35532
C61×#35452
C61×#35442
C61×#35352
C61×#35332
C61×#35312
C2×C61×#5632
C61×#35212
C61×#35152
C61×#35102
C61×#35092
C61×#34952
C61×#34912
#6306461