Finite Group Databasebeta

← #29658659

Subgroups — #29658659

Order 15616.

956 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21456955C211yesmaximal, characteristic, complemented
2#21455970C211yesmaximal, characteristic, complemented
3#21455274C211yesmaximal, characteristic, complemented
4#21445103C211yesmaximal, characteristic, complemented
5#21445096C211yesmaximal, characteristic, complemented
6#21445075C211yesmaximal, characteristic, complemented
7#21445068C211yesmaximal, characteristic, complemented
8#21444929C211yesmaximal, characteristic, complemented
9#21444922C211yesmaximal, characteristic, complemented
10#21444915C211yesmaximal, characteristic, complemented
11#21444908C211yesmaximal, characteristic, complemented
12#21444519C211yesmaximal, characteristic, complemented
13#21444253C211yesmaximal, characteristic, complemented
14#21444206C211yesmaximal, characteristic, complemented
15C61×#3482C211yesmaximal, characteristic, complemented
16C2×#14519797—21no—
17#16840312C2211yescharacteristic
18#16840165C2211yescharacteristic
19#16840158C2211yescharacteristic
20#16840110C2211yescharacteristic
21#16840110C2211yescharacteristic
22#16840086—22no—
23#16840086—21no—
24#16840059—22no—
25#16840047C2211yescharacteristic
26#16840042C2211yescharacteristic
27#16839984—21no—
28#16839977—21no—
29#16839972C2211yescharacteristic
30#16839967C2211yescharacteristic
31#16839962C2211yescharacteristic
32#16839962C2211yescharacteristic
33#16839957C2211yescharacteristic
34#16839957C2211yescharacteristic
35#16839907—21no—
36#16839872—21no—
37#16839860—21no—
38#16839819C2211yescharacteristic
39#16839815C2211yescharacteristic
40C2×C4⋊#92418C2211yescharacteristic
41#16839756—21no—
42#16839508C2211yescharacteristic
43#16839508C2211yescharacteristic
44#16839508C2211yescharacteristic
45#16839508C2211yescharacteristic
46Q8⋊#92418C2211yescharacteristic
47Q8⋊#92418C2211yescharacteristic
48Q8⋊#92418C2211yescharacteristic
49Q8⋊#92418C2211yescharacteristic
50D4⋊#92418C2211yescharacteristic
51D4⋊#92418C2211yescharacteristic
52D4⋊#92418C2211yescharacteristic
53D4⋊#92418C2211yescharacteristic
54C61×#557C2211yescharacteristic
55C61×#556—21no—
56C61×#556C2211yescharacteristic
57C61×#552—22no—
58C61×#552—21no—
59D4×Q8×C61C2211yescharacteristic
60C61×#548—21no—
61C61×#547—21no—
62C61×#547C2211yescharacteristic
63C61×#533—21no—
64C61×#533C2211yescharacteristic
65C61×#529—21no—
66C61×#529—22no—
67C4×#41×C61—21no—
68C4×#41×C61C2211yescharacteristic
69C4×#41×C61C2211yescharacteristic
70C2×C4×Q8×C61—21no—
71C2×#11758222—21no—
72#14519797—44no—
73C2×#11758202—21no—
74C2×#11758200—21no—
75C2×#11758201—21no—
76C2×#11758201—21no—
77C2×#11758199—21no—
78C2×#11758199—21no—
79C22×#92418—21no—
80#14519777C2311yescharacteristic
81#14519774C2311yescharacteristic
82#14519765—21no—
83#14519751—21no—
84#14519751—21no—
85C4×D244—21no—
86C4×D244—21no—
87#14519710—21no—
88#14519710—22no—
89#14519708—21no—
90#14519708—22no—
91C4⋊#92418—21no—
92C4⋊#92418—21no—
93C4⋊#92418C2311yescharacteristic
94C4⋊#92418C2311yescharacteristic
95C4⋊#92418C2311yescharacteristic
96C4⋊#92418C2311yescharacteristic
97#14519701—21no—
98#14519700—21no—
99#14519700—21no—
100#14519698—21no—
101#14519697—21no—
102#14519697—21no—
103#14519697—21no—
104#14519697—21no—
105#14519697—22no—
106#14519697—22no—
107C22⋊#92418—21no—
108C22⋊#92418—21no—
109#14519688—21no—
110C4×#92418C2311yescharacteristic
111C4×#92418C2311yescharacteristic
112C2×#41×C61—21no—
113C2×#41×C61D411yescharacteristic
114C2×#41×C61D411yescharacteristic
115C22×Q8×C61—21no—
116C4⋊Q8×C61—21no—
117C4⋊Q8×C61—21no—
118C4⋊Q8×C61C2311yescharacteristic
119C4⋊Q8×C61C2311yescharacteristic
120#126×C61—22no—
121#126×C61—22no—
122#126×C61—22no—
123#125×C61—22no—
124#125×C61—22no—
125#125×C61—21no—
126#125×C61D412yes—
127#124×C61—22no—
128#124×C61—21no—
129#123×C61—22no—
130#123×C61—22no—
131#123×C61—22no—
132C22⋊Q8×C61—22no—
133C22⋊Q8×C61—21no—
134C22⋊Q8×C61—21no—
135C22⋊Q8×C61—21no—
136C22⋊Q8×C61—21no—
137C22⋊Q8×C61—21no—
138C22⋊Q8×C61—22no—
139#121×C61—22no—
140#121×C61—21no—
141C4×Q8×C61—22no—
142C4×Q8×C61—22no—
143C4×Q8×C61—21no—
144C4×Q8×C61—21no—
145C4×Q8×C61—21no—
146C4×Q8×C61—21no—
147C4×Q8×C61—21no—
148C4×Q8×C61D411yescharacteristic
149C4×Q8×C61D411yescharacteristic
150C4×Q8×C61C2311yescharacteristic
151C4×Q8×C61C2311yescharacteristic
152C4×D4×C61—22no—
153C4×D4×C61—22no—
154C4×D4×C61—21no—
155C4×D4×C61—21no—
156C4×D4×C61—21no—
157C4×D4×C61—21no—
158C4×D4×C61—21no—
159C4×D4×C61D411yescharacteristic
160C4×D4×C61D411yescharacteristic
161C4×D4×C61C2311yescharacteristic
162C4×D4×C61C2311yescharacteristic
163#117×C61—22no—
164#117×C61—22no—
165#117×C61—21no—
166#117×C61—21no—
167#117×C61—21no—
168#117×C61D412yes—
169#117×C61D411yescharacteristic
170#117×C61D411yescharacteristic
171C2×C4⋊C4×C61—22no—
172C2×C4⋊C4×C61—21no—
173C2×C42×C61—22no—
174C2×C42×C61—21no—
175C2×C42×C61—21no—
176C2×C42×C61C2311yescharacteristic
177#41×C61—22no—
178#41×C61—22no—
179#41×C61—41no—
180#41×C61—41no—
181#41×C61—42no—
182#41×C61—42no—
183C2×Q8×C61—22no—
184C2×Q8×C61—21no—
185C2×Q8×C61—21no—
186C2×Q8×C61—42no—
187C2×Q8×C61—42no—
188C2×Q8×C61C2×D411yescharacteristic
189C2×Q8×C61C2×D411yescharacteristic
190C2×D4×C61—22no—
191C2×D4×C61—21no—
192C2×D4×C61—21no—
193C2×D4×C61C2×D411yescharacteristic
194C2×D4×C61C2×D411yescharacteristic
195C22×C4×C61—22no—
196C22×C4×C61—22no—
197C22×C4×C61—21no—
198C22×C4×C61—21no—
199C22×C4×C61—21no—
200C22×C4×C61—21no—
201C22×C4×C61—21no—
202C22×C4×C61—21no—
203C22×C4×C61C2×D411yescharacteristic
204C22×C4×C61C2×D411yescharacteristic
205C22×C4×C61C2×D411yescharacteristic
206C2×C22⋊D61—41no—
207#11758222—42no—
208#11758222—42no—
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—22no—
219C4⋊C4×C61—22no—
220C4⋊C4×C61—21no—
221C4⋊C4×C61—22no—
222C4⋊C4×C61—22no—
223C4⋊C4×C61—21no—
224C4⋊C4×C61—21no—
225C4⋊C4×C61—21no—
226C4⋊C4×C61—21no—
227C4⋊C4×C61—21no—
228C4⋊C4×C61C2×D411yescharacteristic
229C4⋊C4×C61C2×D411yescharacteristic
230C4⋊C4×C61C2×D411yescharacteristic
231C4⋊C4×C61C2×D411yescharacteristic
232C4⋊C4×C61C2×D412yes—
233C4⋊C4×C61C2×D412yes—
234C22⋊C4×C61—22no—
235C22⋊C4×C61—22no—
236C22⋊C4×C61—22no—
237C22⋊C4×C61—22no—
238C22⋊C4×C61—21no—
239C22⋊C4×C61—21no—
240C22⋊C4×C61—22no—
241C22⋊C4×C61—21no—
242C22⋊C4×C61—21no—
243C22⋊C4×C61—21no—
244C22⋊C4×C61—21no—
245C42×C61—22no—
246C42×C61—22no—
247C42×C61—21no—
248C42×C61—21no—
249C42×C61—21no—
250C42×C61—22no—
251C42×C61—21no—
252C42×C61—21no—
253C42×C61—21no—
254C42×C61C2×D411yescharacteristic
255C42×C61C2×D411yescharacteristic
256C42×C61C2×D411yescharacteristic
257C42×C61C2411yescharacteristic
258#11758202—42no—
259#11758201—42no—
260#11758201—42no—
261#11758200—42no—
262#11758199—42no—
263#11758199—42no—
264#11758198—41no—
265#11758198—41no—
266C4⋊Dic61—21no—
267C4⋊Dic61—21no—
268C2×#92418—21no—
269C2×#92418—21no—
270C2×#92418—21no—
271C2×#92418—21no—
272C2×#92418—21no—
273C2×#92418—21no—
274C2×#92418—42no—
275C23×C61—21no—
276C23×C61—21no—
277C23×C61#12011yescharacteristic
278C22×D61—41no—
279Q8×C61—21no—
280Q8×C61—21no—
281Q8×C61—21no—
282Q8×C61—44no—
283Q8×C61—41no—
284Q8×C61—41no—
285Q8×C61—41no—
286Q8×C61—41no—
287Q8×C61AGL(1,ℤ/8)12yes—
288D4×C61—21no—
289D4×C61—21no—
290D4×C61—21no—
291D4×C61—42no—
292D4×C61—42no—
293D4×C61—44no—
294D4×C61#13512yescomplemented
295C2×C4×C61—21no—
296C2×C4×C61—21no—
297C2×C4×C61—21no—
298C2×C4×C61—21no—
299C2×C4×C61—21no—
300C2×C4×C61—21no—
301C2×C4×C61—21no—
302C2×C4×C61—21no—
303C2×C4×C61—22no—
304C2×C4×C61—21no—
305C2×C4×C61—21no—
306C2×C4×C61—22no—
307C2×C4×C61—41no—
308C2×C4×C61—42no—
309C2×C4×C61—42no—
310C2×C4×C61—42no—
311C2×C4×C61—42no—
312C2×C4×C61—44no—
313C2×C4×C61—44no—
314C2×C4×C61—41no—
315C2×C4×C61—41no—
316C2×C4×C61—41no—
317C2×C4×C61—41no—
318C2×C4×C61#12011yescharacteristic
319C2×C4×C61#12011yescharacteristic
320C2×C4×C61#12011yescharacteristic
321C2×C4×C61C22×D411yescharacteristic
322C2×C4×C61C22×D411yescharacteristic
323C2×C4×C61C22×D411yescharacteristic
324C22⋊D61—82no—
325C2×Dic61—41no—
326D244—42no—
327D244—41no—
328D244—41no—
329D244—41no—
330D244—41no—
331C4×D61—82no—
332Dic122—41no—
333Dic122—41no—
334#92418—41no—
335#92418—41no—
336#92418—41no—
337#92418—41no—
338#92418—41no—
339#92418—41no—
340#18764—611nomaximal, Sylow
341C22×C61—21no—
342C22×C61—22no—
343C22×C61—21no—
344C22×C61—21no—
345C22×C61—41no—
346C22×C61—41no—
347C22×C61—41no—
348C22×C61—41no—
349C22×C61—41no—
350C22×C61C2×#12011yescharacteristic
351C2×D61—81no—
352C2×D61—81no—
353C2×D61—81no—
354C4×C61—21no—
355C4×C61—21no—
356C4×C61—22no—
357C4×C61—21no—
358C4×C61—21no—
359C4×C61—41no—
360C4×C61—41no—
361C4×C61—42no—
362C4×C61—42no—
363C4×C61—41no—
364C4×C61—41no—
365C4×C61—41no—
366C4×C61C2×#13511yescharacteristic
367C4×C61C2×AGL(1,ℤ/8)11yescharacteristic
368C4×C61#57511yescharacteristic
369C4×C61#57511yescharacteristic
370Dic61—81no—
371#3482D6111yescharacteristic, complemented
372#3228—611no—
373#3115—611no—
374#3035—611no—
375#1654—611no—
376#1653—611no—
377#1650—611no—
378#1649—611no—
379#1628—611no—
380#1627—611no—
381#1626—611no—
382#1625—611no—
383#1552—611no—
384#1488—611no—
385#1477—611no—
386C2×C61—41no—
387C2×C61—42no—
388C2×C61—81no—
389C2×C61#300211yescharacteristic
390C2×C61#300611yescharacteristic
391C2×C61#302011yescharacteristic
392D61—161no—
393C2×#135—1221no—
394#557C2×D6111yescharacteristic
395#556—21no—
396#556C2×D6111yescharacteristic
397#552—22no—
398#552—21no—
399D4×Q8C2×D6111yescharacteristic
400#548—21no—
401#547—21no—
402#547C2×D6111yescharacteristic
403#533—21no—
404#533C2×D6111yescharacteristic
405#532—611no—
406#529—21no—
407#529—22no—
408C4×#41—21no—
409C4×#41C2×D6111yescharacteristic
410C4×#41C2×D6111yescharacteristic
411C2×C4×Q8—21no—
412#500—611no—
413#498—611no—
414#486—611no—
415#486—611no—
416#482—1221no—
417#482—1222no—
418#478—1222no—
419#475—611no—
420#474—611no—
421#464—1221no—
422#463—1221no—
423#462—611no—
424#461—611no—
425#460—611no—
426#460—611no—
427#459—611no—
428#459—611no—
429#449—1221no—
430#442—1221no—
431#440—1221no—
432#432—611no—
433#431—611no—
434C2×C4⋊C8—611no—
435#416—1221no—
436#332—611no—
437#332—611no—
438#332—611no—
439#332—611no—
440Q8⋊C8—611no—
441Q8⋊C8—611no—
442Q8⋊C8—611no—
443Q8⋊C8—611no—
444D4⋊C8—611no—
445D4⋊C8—611no—
446D4⋊C8—611no—
447D4⋊C8—611no—
448C61#1876411yescharacteristic, complemented, Sylow
449C2×#41—21no—
450C2×#41—1221no—
451C2×#41C22⋊D6111yescharacteristic
452C2×#41C22⋊D6111yescharacteristic
453C22×Q8—21no—
454#135—2444no—
455C2×Q16—1221no—
456C2×SD16—1221no—
457C2×SD16—1221no—
458C2×SD16—1221no—
459C2×D8—1221no—
460C2×D8—1221no—
461C22×C8—1221no—
462C4⋊Q8—21no—
463C4⋊Q8—21no—
464C4⋊Q8—611no—
465C4⋊Q8C22×D6111yescharacteristic
466C4⋊Q8C22×D6111yescharacteristic
467#127—611no—
468#126—22no—
469#126—22no—
470#126—22no—
471#125—22no—
472#125—22no—
473#125—21no—
474#125C22⋊D6112yes—
475#124—22no—
476#124—21no—
477#124—1221no—
478#123—22no—
479#123—22no—
480#123—22no—
481C22⋊Q8—22no—
482C22⋊Q8—21no—
483C22⋊Q8—21no—
484C22⋊Q8—21no—
485C22⋊Q8—21no—
486C22⋊Q8—22no—
487C22⋊Q8—21no—
488#121—22no—
489#121—21no—
490#121—1221no—
491#121—1221no—
492C4×Q8—22no—
493C4×Q8—22no—
494C4×Q8—21no—
495C4×Q8—21no—
496C4×Q8—21no—
497C4×Q8—21no—
498C4×Q8—21no—
499C4×Q8C22⋊D6111yescharacteristic
500C4×Q8C22⋊D6111yescharacteristic
501C4×Q8C22×D6111yescharacteristic
502C4×Q8C22×D6111yescharacteristic
503C4×D4—22no—
504C4×D4—22no—
505C4×D4—21no—
506C4×D4—21no—
507C4×D4—21no—
508C4×D4—21no—
509C4×D4—21no—
510C4×D4—1221no—
511C4×D4—1221no—
512C4×D4C22⋊D6111yescharacteristic
513C4×D4C22⋊D6111yescharacteristic
514C4×D4C22×D6111yescharacteristic
515C4×D4C22×D6111yescharacteristic
516#117—22no—
517#117—22no—
518#117—21no—
519#117—21no—
520#117—21no—
521#117C22⋊D6111yescharacteristic
522#117C22⋊D6111yescharacteristic
523#117C22⋊D6112yes—
524C2×C4⋊C4—22no—
525C2×C4⋊C4—21no—
526C2×C42—22no—
527C2×C42—21no—
528C2×C42—21no—
529C2×C42C22×D6111yescharacteristic
530#107—1221no—
531#107—1222no—
532#106—1221no—
533#106—1222no—
534C4⋊C8—611no—
535C4⋊C8—611no—
536C4⋊C8—611no—
537C4⋊C8—611no—
538C4⋊C8—1221no—
539C4⋊C8—1221no—
540#103—1221no—
541#103—1221no—
542#103—1221no—
543#102—1221no—
544#102—1221no—
545#102—1221no—
546#102—1221no—
547#102—1221no—
548#102—1222no—
549#102—1222no—
550C22⋊C8—1221no—
551C22⋊C8—1221no—
552#97—1221no—
553C4×C8—611no—
554C4×C8—611no—
555#41—22no—
556#41—22no—
557#41—41no—
558#41—41no—
559#41—42no—
560#41—42no—
561#41—2442no—
562#41—2442no—
563C2×Q8—22no—
564C2×Q8—21no—
565C2×Q8—21no—
566C2×Q8—42no—
567C2×Q8—42no—
568C2×Q8—1221no—
569C2×Q8C2×C22⋊D6111yescharacteristic
570C2×Q8C2×C22⋊D6111yescharacteristic
571C2×D4—22no—
572C2×D4—21no—
573C2×D4—21no—
574C2×D4—1221no—
575C2×D4—1221no—
576C2×D4—1221no—
577C2×D4—2441no—
578C2×D4C2×C22⋊D6111yescharacteristic
579C2×D4C2×C22⋊D6111yescharacteristic
580C22×C4—22no—
581C22×C4—22no—
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—21no—
585C22×C4—21no—
586C22×C4—21no—
587C22×C4—21no—
588C22×C4—2441no—
589C22×C4C2×C22⋊D6111yescharacteristic
590C22×C4C2×C22⋊D6111yescharacteristic
591C22×C4C2×C22⋊D6111yescharacteristic
592Q16—2442no—
593SD16—2442no—
594SD16—2442no—
595SD16—2442no—
596D8—2442no—
597D8—2442no—
598C2×C8—1221no—
599C2×C8—1221no—
600C2×C8—1221no—
601C2×C8—1221no—
602C2×C8—1221no—
603C2×C8—1221no—
604C2×C8—2442no—
605C4⋊C4—22no—
606C4⋊C4—22no—
607C4⋊C4—22no—
608C4⋊C4—22no—
609C4⋊C4—22no—
610C4⋊C4—22no—
611C4⋊C4—21no—
612C4⋊C4—21no—
613C4⋊C4—21no—
614C4⋊C4—21no—
615C4⋊C4—21no—
616C4⋊C4—22no—
617C4⋊C4—22no—
618C4⋊C4—21no—
619C4⋊C4—1221no—
620C4⋊C4—1221no—
621C4⋊C4C2×C22⋊D6111yescharacteristic
622C4⋊C4C2×C22⋊D6111yescharacteristic
623C4⋊C4C2×C22⋊D6111yescharacteristic
624C4⋊C4C2×C22⋊D6112yes—
625C4⋊C4C2×C22⋊D6111yescharacteristic
626C4⋊C4C2×C22⋊D6112yes—
627C22⋊C4—22no—
628C22⋊C4—22no—
629C22⋊C4—22no—
630C22⋊C4—22no—
631C22⋊C4—21no—
632C22⋊C4—21no—
633C22⋊C4—22no—
634C22⋊C4—21no—
635C22⋊C4—21no—
636C22⋊C4—21no—
637C22⋊C4—21no—
638C22⋊C4—2441no—
639C22⋊C4—2441no—
640C42—22no—
641C42—22no—
642C42—21no—
643C42—21no—
644C42—21no—
645C42—21no—
646C42—21no—
647C42—22no—
648C42—21no—
649C42C2×C22⋊D6111yescharacteristic
650C42C2×C22⋊D6111yescharacteristic
651C42C2×C22⋊D6111yescharacteristic
652C42C23×D6111yescharacteristic
653C23—21no—
654C23—21no—
655C23—2441no—
656C23#1451974611yescharacteristic
657Q8—21no—
658Q8—21no—
659Q8—21no—
660Q8—44no—
661Q8—41no—
662Q8—41no—
663Q8—41no—
664Q8—41no—
665Q8—2441no—
666Q8—2441no—
667Q8#1451980212yes—
668D4—21no—
669D4—21no—
670D4—21no—
671D4—42no—
672D4—42no—
673D4—44no—
674D4—4882no—
675D4—2442no—
676D4—2441no—
677D4—2441no—
678D4—2441no—
679D4—2441no—
680D4#1451979712yescomplemented
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—22no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—22no—
693C2×C4—41no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—41no—
701C2×C4—41no—
702C2×C4—41no—
703C2×C4—41no—
704C2×C4—4882no—
705C2×C4—2441no—
706C2×C4#1451974611yescharacteristic
707C2×C4#1451974611yescharacteristic
708C2×C4#1451974611yescharacteristic
709C2×C4C22×C22⋊D6111yescharacteristic
710C2×C4C22×C22⋊D6111yescharacteristic
711C2×C4C22×C22⋊D6111yescharacteristic
712C8—2441no—
713C8—2441no—
714C8—2441no—
715C8—2441no—
716C8—2441no—
717C8—2441no—
718C22—21no—
719C22—21no—
720C22—22no—
721C22—21no—
722C22—41no—
723C22—41no—
724C22—41no—
725C22—41no—
726C22—41no—
727C22—4881no—
728C22—4881no—
729C22—4881no—
730C22C2×#1451974611yescharacteristic
731C4—21no—
732C4—21no—
733C4—21no—
734C4—21no—
735C4—22no—
736C4—41no—
737C4—41no—
738C4—41no—
739C4—41no—
740C4—42no—
741C4—42no—
742C4—41no—
743C4—4881no—
744C4C2×#1451979711yescharacteristic
745C4C2×#1451980211yescharacteristic
746C4#1684056011yescharacteristic
747C4#1684056011yescharacteristic
748C2—41no—
749C2—42no—
750C2—81no—
751C2—9761no—
752C2#2145503711yescharacteristic
753C2#2145507111yescharacteristic
754C2#2145518311yescharacteristic
subgroupG/H
centerC22C2×#14519746
commutator, cosocleC42×C61C24
FrattiniC42C23×D61
FittingC61×#3482C2
socleC22×C61C2×#120
hypercenter#3482D61
hypocenterC61#18764
LCSG ▷ C42×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3482

Complements

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

NH ≅ G/Ntype
1. #21456955C2semidirect
2. #21455970C2semidirect
3. #21455274C2semidirect
4. #21445103C2semidirect
5. #21445096C2semidirect
6. #21445075C2semidirect
7. #21445068C2semidirect
8. #21444929C2semidirect
9. #21444922C2semidirect
10. #21444915C2semidirect
11. #21444908C2semidirect
12. #21444519C2semidirect
13. #21444253C2semidirect
14. #21444206C2semidirect
15. C61×#3482C2semidirect
294. D4×C61#135semidirect
371. #3482D61semidirect
448. C61#18764semidirect
680. D4#14519797semidirect

Maximal subgroups

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

subgroupindex
#214569552
#214559702
#214552742
#214451032
#214450962
#214450752
#214450682
#214449292
#214449222
#214449152
#214449082
#214445192
#214442532
#214442062
C61×#34822
#1876461