Finite Group Databasebeta

← #29657124

Subgroups — #29657124

Order 15616.

1010 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21457145C211yesmaximal, characteristic, complemented
2#21456245C211yesmaximal, characteristic, complemented
3#21455941C211yesmaximal, characteristic, complemented
4#21444959C211yesmaximal, characteristic, complemented
5#21444953C211yesmaximal, characteristic, complemented
6#21444946C211yesmaximal, characteristic, complemented
7#21444940C211yesmaximal, characteristic, complemented
8#21444897C211yesmaximal, characteristic, complemented
9#21444891C211yesmaximal, characteristic, complemented
10#21444884C211yesmaximal, characteristic, complemented
11#21444878C211yesmaximal, characteristic, complemented
12#21444514C211yesmaximal, characteristic, complemented
13#21444279C211yesmaximal, characteristic, complemented
14C2×Q8⋊#92418C211yesmaximal, characteristic, complemented
15C61×#3522C211yesmaximal, characteristic, complemented
16C2×#14519797—22no—
17#16840312C2211yescharacteristic
18#16840144—22no—
19#16840141C2211yescharacteristic
20#16840138C2211yescharacteristic
21#16840136C2211yescharacteristic
22#16840134C2211yescharacteristic
23#16840075—21no—
24#16840059—21no—
25#16840057C2211yescharacteristic
26#16840057C2211yescharacteristic
27#16840057C2211yescharacteristic
28#16840052C2211yescharacteristic
29#16839996—21no—
30#16839993—21no—
31#16839974—21no—
32#16839962C2211yescharacteristic
33#16839962C2211yescharacteristic
34#16839962C2211yescharacteristic
35#16839957C2211yescharacteristic
36#16839901—21no—
37#16839860—21no—
38#16839860—21no—
39#16839819C2211yescharacteristic
40C2×C4⋊#92418C2211yescharacteristic
41C2×C4×#92418C2211yescharacteristic
42#16839511C2211yescharacteristic
43#16839511C2211yescharacteristic
44#16839506C2211yescharacteristic
45#16839506C2211yescharacteristic
46Q8⋊#92418C2211yescharacteristic
47Q8⋊#92418C2211yescharacteristic
48Q8⋊#92418C2211yescharacteristic
49Q8⋊#92418C2211yescharacteristic
50Q8⋊#92418C2211yescharacteristic
51Q8⋊#92418C2211yescharacteristic
52D4⋊#92418C2211yescharacteristic
53D4⋊#92418C2211yescharacteristic
54C61×#559—21no—
55C61×#559C2211yescharacteristic
56Q82×C61C2211yescharacteristic
57C61×#554—21no—
58C61×#554C2211yescharacteristic
59C61×#550C2211yescharacteristic
60C61×#548—21no—
61C61×#547—22no—
62C61×#547—21no—
63C61×#542—22no—
64C61×#542—21no—
65C61×#532—21no—
66C61×#532C2211yescharacteristic
67C61×#529—21no—
68C61×#529C2211yescharacteristic
69C61×#520—21no—
70C2×C4×Q8×C61C2211yescharacteristic
71C2×#11758222—21no—
72#14519797—48no—
73C2×#11758202—22no—
74C2×#11758200—22no—
75C2×#11758201—21no—
76C2×#11758201—21no—
77C2×#11758201—22no—
78C2×#11758201—21no—
79C2×#11758199—22no—
80C2×#11758199—21no—
81C22×#92418—21no—
82C22×#92418—21no—
83#14519777C2311yescharacteristic
84#14519774C2311yescharacteristic
85#14519765—21no—
86#14519751—21no—
87#14519751—21no—
88C4×D244—21no—
89C4×D244—21no—
90#14519710—21no—
91#14519710—21no—
92#14519710—21no—
93#14519708—21no—
94C4⋊#92418—21no—
95C4⋊#92418C2311yescharacteristic
96C4⋊#92418C2311yescharacteristic
97C4⋊#92418C2311yescharacteristic
98C4⋊#92418C2311yescharacteristic
99#14519701—21no—
100#14519701—21no—
101#14519701—21no—
102#14519698—21no—
103#14519697—21no—
104#14519697—21no—
105#14519697—21no—
106#14519697—21no—
107C22⋊#92418—21no—
108#14519688—21no—
109C4×#92418—21no—
110C4×#92418C2311yescharacteristic
111C4×#92418C2311yescharacteristic
112C2×#41×C61—22no—
113C2×#41×C61—21no—
114C2×#41×C61D412yes—
115C22×Q8×C61D411yescharacteristic
116C4⋊Q8×C61—22no—
117C4⋊Q8×C61—21no—
118C4⋊Q8×C61—21no—
119C4⋊Q8×C61C2311yescharacteristic
120#127×C61—21no—
121#127×C61C2311yescharacteristic
122#126×C61—22no—
123#126×C61—21no—
124#125×C61—21no—
125#125×C61D411yescharacteristic
126#124×C61—22no—
127#124×C61—22no—
128#124×C61—21no—
129#124×C61—21no—
130#124×C61D412yes—
131#124×C61D411yescharacteristic
132#123×C61—22no—
133#123×C61—22no—
134#123×C61—22no—
135#123×C61—22no—
136#123×C61—21no—
137C22⋊Q8×C61—22no—
138C22⋊Q8×C61—22no—
139C22⋊Q8×C61—22no—
140C22⋊Q8×C61—22no—
141C22⋊Q8×C61—21no—
142C22⋊Q8×C61D411yescharacteristic
143#121×C61—22no—
144#121×C61—22no—
145#121×C61—21no—
146#121×C61—21no—
147#121×C61—21no—
148#121×C61D411yescharacteristic
149C4×Q8×C61—21no—
150C4×Q8×C61—21no—
151C4×Q8×C61—21no—
152C4×Q8×C61—21no—
153C4×Q8×C61D411yescharacteristic
154C4×Q8×C61D411yescharacteristic
155C4×Q8×C61C2311yescharacteristic
156C4×Q8×C61C2311yescharacteristic
157C4×Q8×C61C2311yescharacteristic
158C4×D4×C61—22no—
159C4×D4×C61—22no—
160C4×D4×C61—22no—
161C4×D4×C61—21no—
162C4×D4×C61—21no—
163C4×D4×C61—21no—
164C4×D4×C61—21no—
165C4×D4×C61—21no—
166C4×D4×C61—21no—
167C4×D4×C61—21no—
168C4×D4×C61C2311yescharacteristic
169#117×C61—22no—
170#117×C61—21no—
171C2×C4⋊C4×C61—22no—
172C2×C4⋊C4×C61—21no—
173C2×C4⋊C4×C61—21no—
174C2×C4⋊C4×C61D411yescharacteristic
175C2×C42×C61—21no—
176C2×C42×C61C2311yescharacteristic
177#41×C61—44no—
178#41×C61—42no—
179#41×C61—42no—
180#41×C61—84no—
181C2×Q8×C61—22no—
182C2×Q8×C61—21no—
183C2×Q8×C61—22no—
184C2×Q8×C61—41no—
185C2×Q8×C61C2×D411yescharacteristic
186C2×Q8×C61C2×D411yescharacteristic
187C2×Q8×C61C2×D411yescharacteristic
188C2×Q8×C61C2×D412yes—
189C2×D4×C61—22no—
190C2×D4×C61—22no—
191C2×D4×C61—21no—
192C2×D4×C61—22no—
193C2×D4×C61—21no—
194C2×D4×C61—21no—
195C2×D4×C61C2×D411yescharacteristic
196C2×D4×C61C2×D412yes—
197C22×C4×C61—22no—
198C22×C4×C61—21no—
199C22×C4×C61—21no—
200C22×C4×C61—22no—
201C22×C4×C61—22no—
202C22×C4×C61—21no—
203C22×C4×C61—22no—
204C22×C4×C61C2×D411yescharacteristic
205C22×C4×C61C2×D411yescharacteristic
206C22×C4×C61C2×D411yescharacteristic
207C2×C22⋊D61—41no—
208#11758222—44no—
209C2×D244—21no—
210C2×D244—21no—
211C2×D244—21no—
212C2×C4×D61—41no—
213C2×Dic122—21no—
214C4⋊C4×C61—22no—
215C4⋊C4×C61—22no—
216C4⋊C4×C61—22no—
217C4⋊C4×C61—22no—
218C4⋊C4×C61—21no—
219C4⋊C4×C61—21no—
220C4⋊C4×C61—21no—
221C4⋊C4×C61—21no—
222C4⋊C4×C61—21no—
223C4⋊C4×C61—21no—
224C4⋊C4×C61—21no—
225C4⋊C4×C61—21no—
226C4⋊C4×C61—21no—
227C4⋊C4×C61—21no—
228C4⋊C4×C61—21no—
229C4⋊C4×C61C2×D411yescharacteristic
230C4⋊C4×C61C2×D411yescharacteristic
231C4⋊C4×C61C2×D411yescharacteristic
232C4⋊C4×C61C2×D411yescharacteristic
233C22⋊C4×C61—22no—
234C22⋊C4×C61—22no—
235C22⋊C4×C61—22no—
236C22⋊C4×C61—22no—
237C22⋊C4×C61—22no—
238C22⋊C4×C61—21no—
239C22⋊C4×C61—22no—
240C22⋊C4×C61—21no—
241C22⋊C4×C61—21no—
242C22⋊C4×C61—22no—
243C22⋊C4×C61—21no—
244C22⋊C4×C61—21no—
245C42×C61—22no—
246C42×C61—21no—
247C42×C61—21no—
248C42×C61—21no—
249C42×C61—21no—
250C42×C61—21no—
251C42×C61C2×D411yescharacteristic
252C42×C61C2×D411yescharacteristic
253C42×C61C2×D411yescharacteristic
254C42×C61C2411yescharacteristic
255#11758202—44no—
256#11758201—44no—
257#11758201—42no—
258#11758201—42no—
259#11758201—81no—
260#11758200—44no—
261#11758199—44no—
262#11758199—81no—
263#11758198—41no—
264#11758198—41no—
265C4⋊Dic61—21no—
266C4⋊Dic61—21no—
267C2×#92418—24no—
268C2×#92418—21no—
269C2×#92418—21no—
270C2×#92418—21no—
271C2×#92418—21no—
272C2×#92418—21no—
273C2×#92418—21no—
274C2×#92418—81no—
275C23×C61—21no—
276C23×C61—22no—
277C23×C61#12011yescharacteristic
278C22×D61—41no—
279Q8×C61—21no—
280Q8×C61—21no—
281Q8×C61—21no—
282Q8×C61—21no—
283Q8×C61—21no—
284Q8×C61—42no—
285Q8×C61—42no—
286Q8×C61—82no—
287Q8×C61#13512yescomplemented
288D4×C61—21no—
289D4×C61—21no—
290D4×C61—42no—
291D4×C61—44no—
292D4×C61—44no—
293D4×C61—42no—
294D4×C61—41no—
295D4×C61—41no—
296D4×C61—41no—
297D4×C61—41no—
298D4×C61—82no—
299C2×C4×C61—21no—
300C2×C4×C61—22no—
301C2×C4×C61—21no—
302C2×C4×C61—21no—
303C2×C4×C61—21no—
304C2×C4×C61—21no—
305C2×C4×C61—21no—
306C2×C4×C61—21no—
307C2×C4×C61—21no—
308C2×C4×C61—21no—
309C2×C4×C61—22no—
310C2×C4×C61—21no—
311C2×C4×C61—21no—
312C2×C4×C61—42no—
313C2×C4×C61—44no—
314C2×C4×C61—42no—
315C2×C4×C61—41no—
316C2×C4×C61—41no—
317C2×C4×C61—82no—
318C2×C4×C61—82no—
319C2×C4×C61—82no—
320C2×C4×C61#12011yescharacteristic
321C2×C4×C61#12011yescharacteristic
322C2×C4×C61#12011yescharacteristic
323C2×C4×C61C22×D411yescharacteristic
324C2×C4×C61C22×D411yescharacteristic
325C2×C4×C61C22×D411yescharacteristic
326C22⋊D61—82no—
327C2×Dic61—41no—
328D244—42no—
329D244—41no—
330D244—41no—
331D244—41no—
332D244—41no—
333C4×D61—82no—
334Dic122—42no—
335#92418—22no—
336#92418—22no—
337#92418—41no—
338#92418—41no—
339#92418—41no—
340#92418—41no—
341#18619—611nomaximal, Sylow
342C22×C61—21no—
343C22×C61—21no—
344C22×C61—42no—
345C22×C61—41no—
346C22×C61—41no—
347C22×C61—42no—
348C22×C61—42no—
349C22×C61—41no—
350C22×C61#45312yes—
351C22×C61C2×#12011yescharacteristic
352C2×D61—81no—
353C2×D61—81no—
354C2×D61—81no—
355C4×C61—21no—
356C4×C61—22no—
357C4×C61—21no—
358C4×C61—21no—
359C4×C61—21no—
360C4×C61—41no—
361C4×C61—41no—
362C4×C61—41no—
363C4×C61—41no—
364C4×C61—41no—
365C4×C61—42no—
366C4×C61—41no—
367C4×C61C2×#13511yescharacteristic
368C4×C61#57511yescharacteristic
369C4×C61#57711yescharacteristic
370C4×C61#57811yescharacteristic
371Dic61—81no—
372#3522D6111yescharacteristic, complemented
373#3247—611no—
374#3147—611no—
375#3112—611no—
376#1633—611no—
377#1632—611no—
378#1631—611no—
379#1630—611no—
380#1623—611no—
381#1622—611no—
382#1621—611no—
383#1620—611no—
384#1551—611no—
385#1494—611no—
386C2×Q8⋊C8—611no—
387C2×C61—22no—
388C2×C61—81no—
389C2×C61—82no—
390C2×C61#300211yescharacteristic
391C2×C61#301311yescharacteristic
392C2×C61C2×#45311yescharacteristic
393D61—161no—
394C2×#135—1222no—
395#559—21no—
396#559C2×D6111yescharacteristic
397Q82C2×D6111yescharacteristic
398#554—21no—
399#554C2×D6111yescharacteristic
400#550C2×D6111yescharacteristic
401#548—21no—
402#547—22no—
403#547—21no—
404#542—22no—
405#542—21no—
406#532—21no—
407#532—611no—
408#532C2×D6111yescharacteristic
409#529—21no—
410#529C2×D6111yescharacteristic
411#520—21no—
412C2×C4×Q8C2×D6111yescharacteristic
413#495—1222no—
414#494—611no—
415#493—611no—
416#492—611no—
417#492—611no—
418#480—1221no—
419#478—1221no—
420#477—611no—
421#477—611no—
422#477—611no—
423#476—611no—
424#466—1221no—
425#465—1221no—
426#463—1221no—
427#460—611no—
428#460—611no—
429#460—611no—
430#459—611no—
431#448—1221no—
432#440—1221no—
433#440—1221no—
434#432—611no—
435C2×C4⋊C8—611no—
436C2×C4×C8—611no—
437#333—611no—
438#333—611no—
439#331—611no—
440#331—611no—
441Q8⋊C8—611no—
442Q8⋊C8—611no—
443Q8⋊C8—611no—
444Q8⋊C8—611no—
445Q8⋊C8—611no—
446Q8⋊C8—611no—
447D4⋊C8—611no—
448D4⋊C8—611no—
449C61#1861911yescharacteristic, complemented, Sylow
450C2×#41—22no—
451C2×#41—21no—
452C2×#41—1221no—
453C2×#41C22⋊D6112yes—
454C22×Q8C22⋊D6111yescharacteristic
455#135—2448no—
456C2×Q16—1222no—
457C2×SD16—1221no—
458C2×SD16—1222no—
459C2×SD16—1221no—
460C2×SD16—1221no—
461C2×SD16—1222no—
462C2×D8—1221no—
463C2×D8—1222no—
464C22×C8—1221no—
465C22×C8—1221no—
466C4⋊Q8—22no—
467C4⋊Q8—21no—
468C4⋊Q8—21no—
469C4⋊Q8—611no—
470C4⋊Q8C22×D6111yescharacteristic
471#127—21no—
472#127—611no—
473#127C22×D6111yescharacteristic
474#126—22no—
475#126—21no—
476#125—21no—
477#125C22⋊D6111yescharacteristic
478#124—22no—
479#124—22no—
480#124—21no—
481#124—21no—
482#124—1221no—
483#124C22⋊D6111yescharacteristic
484#124C22⋊D6112yes—
485#123—22no—
486#123—22no—
487#123—22no—
488#123—22no—
489#123—21no—
490C22⋊Q8—22no—
491C22⋊Q8—22no—
492C22⋊Q8—22no—
493C22⋊Q8—22no—
494C22⋊Q8—21no—
495C22⋊Q8C22⋊D6111yescharacteristic
496#121—22no—
497#121—22no—
498#121—21no—
499#121—21no—
500#121—21no—
501#121—1221no—
502#121—1221no—
503#121C22⋊D6111yescharacteristic
504C4×Q8—21no—
505C4×Q8—21no—
506C4×Q8—21no—
507C4×Q8—21no—
508C4×Q8C22⋊D6111yescharacteristic
509C4×Q8C22⋊D6111yescharacteristic
510C4×Q8C22×D6111yescharacteristic
511C4×Q8C22×D6111yescharacteristic
512C4×Q8C22×D6111yescharacteristic
513C4×D4—22no—
514C4×D4—22no—
515C4×D4—22no—
516C4×D4—21no—
517C4×D4—21no—
518C4×D4—21no—
519C4×D4—21no—
520C4×D4—21no—
521C4×D4—21no—
522C4×D4—21no—
523C4×D4—1221no—
524C4×D4—1221no—
525C4×D4C22×D6111yescharacteristic
526#117—22no—
527#117—21no—
528C2×C4⋊C4—22no—
529C2×C4⋊C4—21no—
530C2×C4⋊C4—21no—
531C2×C4⋊C4C22⋊D6111yescharacteristic
532C2×C42—21no—
533C2×C42C22×D6111yescharacteristic
534#107—1221no—
535#107—1221no—
536#107—1221no—
537#106—1221no—
538C4⋊C8—611no—
539C4⋊C8—611no—
540C4⋊C8—611no—
541C4⋊C8—611no—
542C4⋊C8—1221no—
543#103—1221no—
544#103—1221no—
545#103—1221no—
546#102—1221no—
547#102—1221no—
548#102—1221no—
549#102—1221no—
550#102—1221no—
551C22⋊C8—1221no—
552#97—1221no—
553C4×C8—611no—
554C4×C8—611no—
555C4×C8—1221no—
556#41—44no—
557#41—42no—
558#41—42no—
559#41—84no—
560#41—2444no—
561C2×Q8—22no—
562C2×Q8—21no—
563C2×Q8—22no—
564C2×Q8—41no—
565C2×Q8—1221no—
566C2×Q8C2×C22⋊D6111yescharacteristic
567C2×Q8C2×C22⋊D6111yescharacteristic
568C2×Q8C2×C22⋊D6111yescharacteristic
569C2×Q8C2×C22⋊D6112yes—
570C2×D4—22no—
571C2×D4—22no—
572C2×D4—21no—
573C2×D4—22no—
574C2×D4—21no—
575C2×D4—21no—
576C2×D4—1221no—
577C2×D4—1221no—
578C2×D4—1221no—
579C2×D4—2441no—
580C2×D4C2×C22⋊D6111yescharacteristic
581C2×D4C2×C22⋊D6112yes—
582C22×C4—22no—
583C22×C4—21no—
584C22×C4—21no—
585C22×C4—22no—
586C22×C4—22no—
587C22×C4—21no—
588C22×C4—22no—
589C22×C4—2441no—
590C22×C4C2×C22⋊D6111yescharacteristic
591C22×C4C2×C22⋊D6111yescharacteristic
592C22×C4C2×C22⋊D6111yescharacteristic
593Q16—2444no—
594SD16—4881no—
595SD16—2444no—
596SD16—2444no—
597SD16—2442no—
598SD16—2442no—
599D8—4881no—
600D8—2444no—
601C2×C8—1224no—
602C2×C8—1221no—
603C2×C8—1221no—
604C2×C8—1221no—
605C2×C8—1221no—
606C2×C8—1221no—
607C2×C8—1221no—
608C2×C8—4881no—
609C4⋊C4—22no—
610C4⋊C4—22no—
611C4⋊C4—22no—
612C4⋊C4—22no—
613C4⋊C4—21no—
614C4⋊C4—21no—
615C4⋊C4—21no—
616C4⋊C4—21no—
617C4⋊C4—21no—
618C4⋊C4—21no—
619C4⋊C4—21no—
620C4⋊C4—21no—
621C4⋊C4—21no—
622C4⋊C4—21no—
623C4⋊C4—21no—
624C4⋊C4—1221no—
625C4⋊C4—1221no—
626C4⋊C4C2×C22⋊D6111yescharacteristic
627C4⋊C4C2×C22⋊D6111yescharacteristic
628C4⋊C4C2×C22⋊D6111yescharacteristic
629C4⋊C4C2×C22⋊D6111yescharacteristic
630C22⋊C4—22no—
631C22⋊C4—22no—
632C22⋊C4—22no—
633C22⋊C4—22no—
634C22⋊C4—22no—
635C22⋊C4—21no—
636C22⋊C4—21no—
637C22⋊C4—22no—
638C22⋊C4—21no—
639C22⋊C4—21no—
640C22⋊C4—22no—
641C22⋊C4—21no—
642C22⋊C4—2441no—
643C22⋊C4—2441no—
644C42—22no—
645C42—21no—
646C42—21no—
647C42—21no—
648C42—21no—
649C42—21no—
650C42C2×C22⋊D6111yescharacteristic
651C42C2×C22⋊D6111yescharacteristic
652C42C2×C22⋊D6111yescharacteristic
653C42C23×D6111yescharacteristic
654C23—21no—
655C23—22no—
656C23—2441no—
657C23#1451974611yescharacteristic
658Q8—21no—
659Q8—21no—
660Q8—21no—
661Q8—21no—
662Q8—21no—
663Q8—42no—
664Q8—42no—
665Q8—82no—
666Q8—2442no—
667Q8#1451979712yescomplemented
668D4—21no—
669D4—21no—
670D4—42no—
671D4—44no—
672D4—44no—
673D4—42no—
674D4—41no—
675D4—41no—
676D4—41no—
677D4—41no—
678D4—82no—
679D4—4882no—
680D4—2442no—
681D4—2441no—
682D4—2441no—
683D4—2441no—
684D4—2441no—
685C2×C4—21no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—21no—
695C2×C4—22no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—42no—
699C2×C4—44no—
700C2×C4—42no—
701C2×C4—41no—
702C2×C4—41no—
703C2×C4—82no—
704C2×C4—82no—
705C2×C4—82no—
706C2×C4—4882no—
707C2×C4—2441no—
708C2×C4#1451974611yescharacteristic
709C2×C4#1451974611yescharacteristic
710C2×C4#1451974611yescharacteristic
711C2×C4C22×C22⋊D6111yescharacteristic
712C2×C4C22×C22⋊D6111yescharacteristic
713C2×C4C22×C22⋊D6111yescharacteristic
714C8—1222no—
715C8—1222no—
716C8—2441no—
717C8—2441no—
718C8—2441no—
719C8—2441no—
720C22—21no—
721C22—21no—
722C22—41no—
723C22—42no—
724C22—42no—
725C22—41no—
726C22—42no—
727C22—41no—
728C22—4881no—
729C22—4881no—
730C22—4881no—
731C22#1683993012yes—
732C22C2×#1451974611yescharacteristic
733C4—21no—
734C4—21no—
735C4—21no—
736C4—21no—
737C4—22no—
738C4—41no—
739C4—41no—
740C4—41no—
741C4—42no—
742C4—41no—
743C4—41no—
744C4—41no—
745C4—4881no—
746C4C2×#1451979711yescharacteristic
747C4#1684056011yescharacteristic
748C4#1684057011yescharacteristic
749C4#1684057711yescharacteristic
750C2—22no—
751C2—81no—
752C2—82no—
753C2—9761no—
754C2#2145503711yescharacteristic
755C2#2145513411yescharacteristic
756C2C2×#1683993011yescharacteristic
subgroupG/H
centerC22C2×#14519746
commutator, cosocleC42×C61C24
FrattiniC42C23×D61
FittingC61×#3522C2
socleC22×C61C2×#120
hypercenter#3522D61
hypocenterC61#18619
LCSG ▷ C42×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3522

Complements

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

NH ≅ G/Ntype
1. #21457145C2semidirect
2. #21456245C2semidirect
3. #21455941C2semidirect
4. #21444959C2semidirect
5. #21444953C2semidirect
6. #21444946C2semidirect
7. #21444940C2semidirect
8. #21444897C2semidirect
9. #21444891C2semidirect
10. #21444884C2semidirect
11. #21444878C2semidirect
12. #21444514C2semidirect
13. #21444279C2semidirect
14. C2×Q8⋊#92418C2semidirect
15. C61×#3522C2semidirect
287. Q8×C61#135semidirect
372. #3522D61semidirect
449. C61#18619semidirect
667. Q8#14519797semidirect

Maximal subgroups

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

subgroupindex
#214571452
#214562452
#214559412
#214449592
#214449532
#214449462
#214449402
#214448972
#214448912
#214448842
#214448782
#214445142
#214442792
C2×Q8⋊#924182
C61×#35222
#1861961