Finite Group Databasebeta

← #29648791

Subgroups — #29648791

Order 15616.

964 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459731C211yesmaximal, characteristic
2#21454938C211yesmaximal, characteristic, complemented
3#21454384C211yesmaximal, characteristic, complemented
4#21444557C211yesmaximal, characteristic, complemented
5#21444555C211yesmaximal, characteristic, complemented
6#21444542C211yesmaximal, characteristic, complemented
7#21444540C211yesmaximal, characteristic, complemented
8#21444518C211yesmaximal, characteristic, complemented
9#21444502C211yesmaximal, characteristic, complemented
10#21444495C211yesmaximal, characteristic, complemented
11#21444495C211yesmaximal, characteristic, complemented
12#21444494C211yesmaximal, characteristic, complemented
13#21444467C211yesmaximal, characteristic, complemented
14#332×D61C211yesmaximal, characteristic, complemented
15C61×#1552C211yesmaximal, characteristic, complemented
16C2×#14519783—21no—
17#16840484—21no—
18#16840475C412yes—
19#16840468C412yes—
20#16840465C412yes—
21#16840456C412yes—
22#16840424—21no—
23#16840422—21no—
24#16840414—21no—
25#16840385—21no—
26#16840384—21no—
27#16840342—21no—
28#16840317C2211yescharacteristic
29#16840313C2211yescharacteristic
30#16840313C2211yescharacteristic
31#16840312C2211yescharacteristic
32C4⋊Q8×D61C2211yescharacteristic
33#16840244—21no—
34C4×#11758222C2211yescharacteristic
35#16839890—21no—
36#16839837—21no—
37#16839836—21no—
38#16839835—21no—
39#16839818C2211yescharacteristic
40#16839814C2211yescharacteristic
41#16839788—21no—
42#16839787—21no—
43#16839787—21no—
44#16839786C2211yescharacteristic
45#16839786C2211yescharacteristic
46#16839784C2211yescharacteristic
47#16839784C2211yescharacteristic
48#16839784C2211yescharacteristic
49C4⋊C8×D61C2211yescharacteristic
50C4⋊C8×D61C2211yescharacteristic
51C4⋊C8×D61C2211yescharacteristic
52#16839509C2211yescharacteristic
53#16839509C2211yescharacteristic
54#16839508C2211yescharacteristic
55#16839508C2211yescharacteristic
56#16839508C2211yescharacteristic
57#16839508C2211yescharacteristic
58#16839507C2211yescharacteristic
59#16839507C2211yescharacteristic
60#16839505C2211yescharacteristic
61#16839505C2211yescharacteristic
62#16839505C2211yescharacteristic
63#16839505C2211yescharacteristic
64C61×#533C2211yescharacteristic
65C61×#432C2211yescharacteristic
66C2×C4⋊C8×C61C2211yescharacteristic
67C61×#332C2211yescharacteristic
68C61×#332C2211yescharacteristic
69C61×#332C2211yescharacteristic
70C61×#332C2211yescharacteristic
71C2×#11758226—21no—
72C2×#11758226—21no—
73C2×#11758222—21no—
74C2×#11758222D411yescharacteristic
75C2×Q8×D61—21no—
76#14519783—44no—
77C2×#11758194—21no—
78C2×#11758194—21no—
79C2×#11758189—21no—
80C2×#11758189—21no—
81C2×#11758189—21no—
82C2×C8×D61—21no—
83C2×C8×D61—21no—
84C2×C8×D61—21no—
85#14519777C2311yescharacteristic
86#14519776—21no—
87#14519776C2×C412yes—
88#14519775—21no—
89#14519774C2311yescharacteristic
90#14519772—22no—
91#14519771—22no—
92#14519768C2×C412yes—
93#14519766—21no—
94#14519766—21no—
95#14519765—21no—
96#14519765—22no—
97#14519763—22no—
98#14519762—22no—
99#14519759—22no—
100#14519757—21no—
101#14519757—22no—
102#14519755—22no—
103#14519755—22no—
104#14519753—21no—
105#14519752—22no—
106#14519752—21no—
107#14519752—21no—
108#14519752C2×C412yes—
109#14519752C2×C412yes—
110#14519751—21no—
111#14519751C2×C412yes—
112#14519750—22no—
113#14519750—22no—
114Q8×Dic61—21no—
115C4×Dic122C2×C411yescharacteristic
116C4×Dic122D411yescharacteristic
117#14519742—21no—
118C4×D244—21no—
119C4×D244—22no—
120C4×D244C2×C411yescharacteristic
121C4×D244C2×C412yes—
122C4×D244D411yescharacteristic
123#14519739—22no—
124#14519739—21no—
125#14519739—21no—
126#14519739C2×C412yes—
127#14519739C2×C412yes—
128C4×C22⋊D61C2×C411yescharacteristic
129C4×C22⋊D61C2×C411yescharacteristic
130C4×C22⋊D61D411yescharacteristic
131C4×C22⋊D61D411yescharacteristic
132#14519736D411yescharacteristic
133#14519735C2×C412yes—
134#14519734—22no—
135#14519734D411yescharacteristic
136#14519734D411yescharacteristic
137C4⋊C4×D61—21no—
138C4⋊C4×D61—22no—
139C4⋊C4×D61C2×C412yes—
140C42×D61C2311yescharacteristic
141C42×D61C2311yescharacteristic
142C4⋊#92418—21no—
143C4⋊#92418—21no—
144C4⋊#92418C2311yescharacteristic
145C4⋊#92418C2311yescharacteristic
146C4⋊#92418C2311yescharacteristic
147C4⋊#92418C2311yescharacteristic
148#14519706—21no—
149#14519706—21no—
150#14519706—21no—
151#14519706—21no—
152#14519706—21no—
153#14519706—21no—
154#14519689—21no—
155#14519689—21no—
156#14519687—21no—
157C8×Dic61—21no—
158C22×C8×C61—21no—
159C4⋊Q8×C61C2311yescharacteristic
160C4⋊Q8×C61C2311yescharacteristic
161#125×C61C2×C412yes—
162C22⋊Q8×C61—21no—
163C22⋊Q8×C61—21no—
164C4×Q8×C61—21no—
165C4×Q8×C61—21no—
166#117×C61C2×C412yes—
167C2×C42×C61C2311yescharacteristic
168C4⋊C8×C61—21no—
169C4⋊C8×C61C2311yescharacteristic
170C4⋊C8×C61C2311yescharacteristic
171C4⋊C8×C61C2311yescharacteristic
172C4⋊C8×C61C2311yescharacteristic
173C22⋊C8×C61—21no—
174#97×C61—21no—
175C2×Q8×C61—21no—
176C2×Q8×C61—21no—
177C22×C4×C61C22×C411yescharacteristic
178C22×C4×C61C2×D411yescharacteristic
179C22×C4×C61C2×D411yescharacteristic
180C2×C22⋊D61—22no—
181C2×C22⋊D61C22⋊C411yescharacteristic
182C2×C22⋊D61C22⋊C411yescharacteristic
183#11758226—42no—
184#11758226—42no—
185#11758226—81no—
186#11758226—81no—
187Q8×D61—81no—
188Q8×D61—81no—
189#11758222—22no—
190#11758222—22no—
191#11758222—81no—
192#11758222—81no—
193C2×D244—22no—
194C2×D244—21no—
195C2×D244—21no—
196C2×D244—22no—
197C2×D244C22⋊C411yescharacteristic
198C2×D244C22×C412yes—
199C2×C4×D61—22no—
200C2×C4×D61—22no—
201C2×C4×D61—22no—
202C2×C4×D61—22no—
203C2×C4×D61C22×C411yescharacteristic
204C2×C4×D61C22×C411yescharacteristic
205C2×C4×D61C2×D411yescharacteristic
206C2×C4×D61C2×D411yescharacteristic
207C2×C4×D61C2×D411yescharacteristic
208C2×C4×D61C2×D411yescharacteristic
209C2×Dic122—21no—
210C2×Dic122—22no—
211C2×Dic122C22⋊C411yescharacteristic
212C2×C8×C61—21no—
213C2×C8×C61—21no—
214C2×C8×C61—21no—
215C2×C8×C61—21no—
216C2×C8×C61—42no—
217C4⋊C4×C61—22no—
218C4⋊C4×C61—22no—
219C4⋊C4×C61—21no—
220C4⋊C4×C61—21no—
221C4⋊C4×C61C22×C412yes—
222C4⋊C4×C61C22×C412yes—
223C22⋊C4×C61—22no—
224C42×C61—22no—
225C42×C61C22×C411yescharacteristic
226C42×C61C2×D411yescharacteristic
227C42×C61C2×D411yescharacteristic
228C42×C61C2411yescharacteristic
229C22⋊Dic61C22⋊C411yescharacteristic
230C22⋊Dic61C22⋊C411yescharacteristic
231#11758198—22no—
232#11758198—22no—
233#11758198—22no—
234#11758198—22no—
235#11758198—22no—
236#11758198—22no—
237#11758198—22no—
238#11758198C22⋊C411yescharacteristic
239#11758198C22⋊C411yescharacteristic
240#11758198C22⋊C411yescharacteristic
241#11758198C22⋊C411yescharacteristic
242C4⋊Dic61—21no—
243C4⋊Dic61—22no—
244C4⋊Dic61C22⋊C411yescharacteristic
245C4⋊Dic61C22⋊C411yescharacteristic
246C4⋊Dic61C22×C412yes—
247#11758196—22no—
248#11758196—22no—
249#11758196—22no—
250#11758196C22⋊C411yescharacteristic
251#11758196C22⋊C411yescharacteristic
252#11758196C22⋊C411yescharacteristic
253#11758196C22⋊C411yescharacteristic
254C4×Dic61—22no—
255C4×Dic61C22×C411yescharacteristic
256C4×Dic61C22×C411yescharacteristic
257C4×Dic61C2×D411yescharacteristic
258C4×Dic61C2×D411yescharacteristic
259C4×Dic61C2×D411yescharacteristic
260C4×Dic61C2×D411yescharacteristic
261#11758194—42no—
262#11758194—81no—
263C2×#92418—21no—
264C2×#92418—21no—
265C2×#92418—21no—
266C2×#92418—21no—
267#11758189—42no—
268#11758189—42no—
269#11758189—81no—
270C8×D61—42no—
271C8×D61—42no—
272C8×D61—81no—
273C23×C61C2×C22⋊C411yescharacteristic
274C22×D61—22no—
275C22×D61C2×C22⋊C411yescharacteristic
276C22×D61C2×C22⋊C411yescharacteristic
277Q8×C61—41no—
278Q8×C61—41no—
279Q8×C61—41no—
280Q8×C61—41no—
281C2×C4×C61—21no—
282C2×C4×C61—21no—
283C2×C4×C61—21no—
284C2×C4×C61—21no—
285C2×C4×C61—22no—
286C2×C4×C61—22no—
287C2×C4×C61—41no—
288C2×C4×C61C2×C22⋊C411yescharacteristic
289C2×C4×C61C2×C22⋊C411yescharacteristic
290C2×C4×C61C2×C22⋊C411yescharacteristic
291C2×C4×C61C23×C411yescharacteristic
292C2×C4×C61C22×D411yescharacteristic
293C2×C4×C61C22×D411yescharacteristic
294C22⋊D61—22no—
295C22⋊D61—22no—
296C22⋊D61—82no—
297C2×Dic61—22no—
298C2×Dic61C2×C22⋊C411yescharacteristic
299C2×Dic61C2×C22⋊C411yescharacteristic
300C2×Dic61C2×C22⋊C411yescharacteristic
301C2×Dic61C2×C22⋊C411yescharacteristic
302C2×Dic61C2×C22⋊C411yescharacteristic
303C2×Dic61C2×C22⋊C411yescharacteristic
304D244—22no—
305D244—42no—
306D244—44no—
307D244—41no—
308D244—41no—
309D244—41no—
310D244—41no—
311D244—82no—
312C4×D61—21no—
313C4×D61—21no—
314C4×D61—21no—
315C4×D61—21no—
316C4×D61—21no—
317C4×D61—21no—
318C4×D61—41no—
319C4×D61—41no—
320C4×D61—44no—
321C4×D61—82no—
322C4×D61—82no—
323C4×D61—82no—
324C4×D61AGL(1,ℤ/8)12yes—
325C4×D61#13712yes—
326Dic122—22no—
327Dic122—41no—
328Dic122—41no—
329Dic122—82no—
330C8×C61—41no—
331C8×C61—41no—
332C8×C61—41no—
333C8×C61—41no—
334#92418—41no—
335#92418—41no—
336#92418—41no—
337#92418—41no—
338#17765—611nomaximal, Sylow
339C22×C61—21no—
340C22×C61—21no—
341C22×C61—21no—
342C22×C61C22×C22⋊C411yescharacteristic
343C2×D61—21no—
344C2×D61—21no—
345C2×D61—21no—
346C2×D61—21no—
347C2×D61—21no—
348C2×D61—42no—
349C2×D61—42no—
350C2×D61—42no—
351C2×D61#41712yes—
352C4×C61—21no—
353C4×C61—21no—
354C4×C61—21no—
355C4×C61—21no—
356C4×C61—42no—
357C4×C61—42no—
358C4×C61C2×AGL(1,ℤ/8)11yescharacteristic
359C4×C61C2×#13711yescharacteristic
360C4×C61#57611yescharacteristic
361C4×C61#57711yescharacteristic
362Dic61—21no—
363Dic61—21no—
364Dic61—21no—
365Dic61—21no—
366Dic61—21no—
367Dic61—42no—
368Dic61#41712yes—
369#3511—611no—
370#2989—611no—
371#2906—611no—
372#1561—611no—
373#1561—611no—
374#1557—611no—
375#1557—611no—
376#1552—611no—
377#1552D6111yescharacteristic, complemented
378#1549—611no—
379#1547—611no—
380#1547—611no—
381#1547—611no—
382#1540—611no—
383C2×#332—611no—
384C2×C61—41no—
385C2×C61#288911yescharacteristic
386C2×C61C2×#41711yescharacteristic
387C2×C61#289711yescharacteristic
388D61—22no—
389D61—41no—
390D61—82no—
391C2×#131—1221no—
392#556—1221no—
393#555—612no—
394#554—612no—
395#553—612no—
396#553—612no—
397#548—1221no—
398#548—1221no—
399#547—1221no—
400#542—1221no—
401#542—1221no—
402#537—1221no—
403#533—611no—
404#533C2×D6111yescharacteristic
405#532—611no—
406#532—611no—
407#532—611no—
408C2×C4⋊Q8—611no—
409#520—1221no—
410C4×#41—611no—
411#446—1221no—
412#436—1221no—
413#435—1221no—
414#435—1221no—
415#432—611no—
416#432C2×D6111yescharacteristic
417#431—611no—
418#424—1221no—
419#424—1221no—
420#424—1221no—
421#423—611no—
422#423—611no—
423#423—611no—
424#423—611no—
425#423—611no—
426C2×C4⋊C8—611no—
427C2×C4⋊C8—611no—
428C2×C4⋊C8—611no—
429C2×C4⋊C8C2×D6111yescharacteristic
430#332—611no—
431#332—611no—
432#332—611no—
433#332—611no—
434#332—611no—
435#332—611no—
436#332—611no—
437#332—611no—
438#332C2×D6111yescharacteristic
439#332C2×D6111yescharacteristic
440#332C2×D6111yescharacteristic
441#332C2×D6111yescharacteristic
442#331—611no—
443#331—611no—
444#331—611no—
445#331—611no—
446C61#1776511yescharacteristic, complemented, Sylow
447C2×#41—611no—
448C2×#41—1221no—
449C2×#41—1221no—
450C2×#41—1221no—
451C22×Q8—1221no—
452#131—2444no—
453C2×M16—1221no—
454C2×M16—1221no—
455C2×M16—1221no—
456C2×M16—1221no—
457C2×M16—1221no—
458C22×C8—21no—
459C22×C8—1221no—
460C22×C8—1221no—
461C22×C8—1221no—
462C4⋊Q8—612no—
463C4⋊Q8—611no—
464C4⋊Q8—1221no—
465C4⋊Q8—1221no—
466C4⋊Q8C22×D6111yescharacteristic
467C4⋊Q8C22×D6111yescharacteristic
468#127—611no—
469#126—1222no—
470#126—1222no—
471#125—612no—
472#125C4×D6112yes—
473#124—1222no—
474#124—1221no—
475#124—1221no—
476#124—1222no—
477#124—1221no—
478#123—1222no—
479#123—1222no—
480C22⋊Q8—21no—
481C22⋊Q8—21no—
482C22⋊Q8—1222no—
483C22⋊Q8—1222no—
484C22⋊Q8—1221no—
485C22⋊Q8—1222no—
486C22⋊Q8—1221no—
487#121—612no—
488#121—612no—
489#121—612no—
490#121—1222no—
491#121—1222no—
492#121—1221no—
493#121—1221no—
494#121—1222no—
495#121—1221no—
496C4×Q8—21no—
497C4×Q8—21no—
498C4×Q8—611no—
499C4×Q8—611no—
500C4×Q8—1221no—
501C4×Q8—1221no—
502C4×D4—611no—
503C4×D4—611no—
504C4×D4—611no—
505C4×D4—611no—
506C4×D4—612no—
507C4×D4—612no—
508C4×D4—611no—
509C4×D4—612no—
510C4×D4—611no—
511C4×D4—1222no—
512C4×D4—1221no—
513C4×D4—1221no—
514C4×D4—1222no—
515C4×D4—1221no—
516#117—611no—
517#117—611no—
518#117—611no—
519#117—612no—
520#117—1222no—
521#117C4×D6112yes—
522C2×C4⋊C4—612no—
523C2×C4⋊C4—1222no—
524C2×C4⋊C4—1221no—
525C2×C42—611no—
526C2×C42—611no—
527C2×C42C22×D6111yescharacteristic
528C4⋊C8—21no—
529C4⋊C8—611no—
530C4⋊C8—611no—
531C4⋊C8—611no—
532C4⋊C8—611no—
533C4⋊C8—1221no—
534C4⋊C8—1221no—
535C4⋊C8—1221no—
536C4⋊C8—1221no—
537C4⋊C8—1221no—
538C4⋊C8—1221no—
539C4⋊C8—1221no—
540C4⋊C8—1221no—
541C4⋊C8C22×D6111yescharacteristic
542C4⋊C8C22×D6111yescharacteristic
543C4⋊C8C22×D6111yescharacteristic
544C4⋊C8C22×D6111yescharacteristic
545C22⋊C8—21no—
546C22⋊C8—1221no—
547C22⋊C8—1221no—
548#97—21no—
549#97—1221no—
550C4×C8—1221no—
551#41—1222no—
552#41—1222no—
553#41—4881no—
554#41—4881no—
555#41—4881no—
556#41—4881no—
557#41—2442no—
558#41—2442no—
559C2×Q8—21no—
560C2×Q8—21no—
561C2×Q8—611no—
562C2×Q8—1222no—
563C2×Q8—1221no—
564C2×Q8—4881no—
565C2×Q8—4881no—
566C2×D4—611no—
567C2×D4—611no—
568C2×D4—612no—
569C2×D4—611no—
570C2×D4—1222no—
571C2×D4—1222no—
572C2×D4—1222no—
573C2×D4—1221no—
574C2×D4—1221no—
575C22×C4—611no—
576C22×C4—611no—
577C22×C4—611no—
578C22×C4—611no—
579C22×C4—611no—
580C22×C4—611no—
581C22×C4—1222no—
582C22×C4—1222no—
583C22×C4—1222no—
584C22×C4—1222no—
585C22×C4C2×C4×D6111yescharacteristic
586C22×C4D4×D6111yescharacteristic
587C22×C4D4×D6111yescharacteristic
588M16—4881no—
589M16—4881no—
590M16—2442no—
591M16—2442no—
592M16—2442no—
593C2×C8—21no—
594C2×C8—21no—
595C2×C8—21no—
596C2×C8—21no—
597C2×C8—42no—
598C2×C8—1221no—
599C2×C8—1221no—
600C2×C8—1221no—
601C2×C8—1221no—
602C2×C8—4881no—
603C2×C8—2442no—
604C2×C8—2442no—
605C4⋊C4—21no—
606C4⋊C4—21no—
607C4⋊C4—22no—
608C4⋊C4—22no—
609C4⋊C4—611no—
610C4⋊C4—611no—
611C4⋊C4—611no—
612C4⋊C4—611no—
613C4⋊C4—611no—
614C4⋊C4—611no—
615C4⋊C4—612no—
616C4⋊C4—1222no—
617C4⋊C4—1222no—
618C4⋊C4—1222no—
619C4⋊C4—1222no—
620C4⋊C4—1221no—
621C4⋊C4C2×C4×D6112yes—
622C4⋊C4C2×C4×D6112yes—
623C22⋊C4—22no—
624C22⋊C4—611no—
625C22⋊C4—611no—
626C22⋊C4—611no—
627C22⋊C4—611no—
628C22⋊C4—611no—
629C22⋊C4—611no—
630C22⋊C4—1222no—
631C22⋊C4—1222no—
632C22⋊C4—1222no—
633C22⋊C4—1222no—
634C22⋊C4—1222no—
635C22⋊C4—1222no—
636C22⋊C4—1222no—
637C42—22no—
638C42—611no—
639C42—611no—
640C42—611no—
641C42—611no—
642C42—611no—
643C42—611no—
644C42—1222no—
645C42C2×C4×D6111yescharacteristic
646C42D4×D6111yescharacteristic
647C42D4×D6111yescharacteristic
648C42C23×D6111yescharacteristic
649C23—611no—
650C23—611no—
651C23—1222no—
652C23C22⋊C4×D6111yescharacteristic
653Q8—41no—
654Q8—41no—
655Q8—41no—
656Q8—41no—
657Q8—1222no—
658Q8—4882no—
659Q8—2441no—
660Q8—2441no—
661D4—1222no—
662D4—1222no—
663D4—1222no—
664D4—4882no—
665D4—4882no—
666D4—2442no—
667D4—2444no—
668D4—2441no—
669D4—2441no—
670D4—2441no—
671D4—2441no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—41no—
679C2×C4—611no—
680C2×C4—612no—
681C2×C4—612no—
682C2×C4—611no—
683C2×C4—611no—
684C2×C4—611no—
685C2×C4—611no—
686C2×C4—611no—
687C2×C4—1221no—
688C2×C4—1221no—
689C2×C4—1221no—
690C2×C4—1221no—
691C2×C4—1221no—
692C2×C4—1221no—
693C2×C4—1222no—
694C2×C4—4882no—
695C2×C4—4882no—
696C2×C4—4882no—
697C2×C4—2441no—
698C2×C4—2441no—
699C2×C4—2444no—
700C2×C4C22⋊C4×D6111yescharacteristic
701C2×C4C22⋊C4×D6111yescharacteristic
702C2×C4C22⋊C4×D6111yescharacteristic
703C2×C4C22×C4×D6111yescharacteristic
704C2×C4C2×D4×D6111yescharacteristic
705C2×C4C2×D4×D6111yescharacteristic
706C8—41no—
707C8—41no—
708C8—41no—
709C8—41no—
710C8—2441no—
711C8—2441no—
712C8—2441no—
713C8—2441no—
714C22—21no—
715C22—21no—
716C22—21no—
717C22—612no—
718C22—1221no—
719C22—1221no—
720C22—1221no—
721C22—1221no—
722C22—1221no—
723C22—2442no—
724C22—2442no—
725C22—2442no—
726C22C2×C22⋊C4×D6111yescharacteristic
727C4—21no—
728C4—21no—
729C4—21no—
730C4—21no—
731C4—42no—
732C4—42no—
733C4—612no—
734C4—1221no—
735C4—1221no—
736C4—1221no—
737C4—1221no—
738C4—1221no—
739C4—2442no—
740C4AGL(1,ℤ/8)×D6111yescharacteristic
741C4#137×D6111yescharacteristic
742C4#1684056411yescharacteristic
743C4#1684056911yescharacteristic
744C2—41no—
745C2—1222no—
746C2—4882no—
747C2—2441no—
748C2#2145429911yescharacteristic
749C2#417×D6111yescharacteristic
750C2#2145434111yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC2×C4×C61C23×C4
FrattiniC42C23×D61
FittingC61×#1552C2
socleC22×C61C22×C22⋊C4
prime radical#21459731C2
cosocleC42×C61C24
hypercenter#1552D61
hypocenterC61#17765
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1552

Complements

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

NH ≅ G/Ntype
2. #21454938C2semidirect
3. #21454384C2semidirect
4. #21444557C2semidirect
5. #21444555C2semidirect
6. #21444542C2semidirect
7. #21444540C2semidirect
8. #21444518C2semidirect
9. #21444502C2semidirect
10. #21444495C2semidirect
11. #21444495C2semidirect
12. #21444494C2semidirect
13. #21444467C2semidirect
14. #332×D61C2semidirect
15. C61×#1552C2semidirect
377. #1552D61semidirect
446. C61#17765semidirect

Maximal subgroups

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

subgroupindex
#214597312
#214549382
#214543842
#214445572
#214445552
#214445422
#214445402
#214445182
#214445022
#214444952
#214444942
#214444672
#332×D612
C61×#15522
#1776561