Finite Group Databasebeta

← #12117450

Subgroups — #12117450

Order 1280.

1042 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C5×#106C211yesmaximal, characteristic, complemented
2C2×#65400C211yesmaximal, characteristic
3C4⋊C4×C22⋊D5C211yesmaximal, characteristic
4#10613892C211yesmaximal, characteristic
5C2×#65150C211yesmaximal, characteristic, complemented
6#10602764C211yesmaximal, characteristic, complemented
7#10602349C211yesmaximal, characteristic, complemented
8#10602348C211yesmaximal, characteristic, complemented
9#10601373C211yesmaximal, characteristic, complemented
10#10601372C211yesmaximal, characteristic, complemented
11#10601371C211yesmaximal, characteristic, complemented
12#10601357C211yesmaximal, characteristic, complemented
13#10601356C211yesmaximal, characteristic, complemented
14#10601349C211yesmaximal, characteristic, complemented
15#10601346C211yesmaximal, characteristic, complemented
16C23×C5×C8C2211yescharacteristic
17C22×C5×C4⋊C4C2211yescharacteristic
18C22×C5×C4⋊C4C2211yescharacteristic
19C2×C4×C22⋊D5—21no—
20C2×C4×C22⋊D5C2211yescharacteristic
21C22×#676C2211yescharacteristic
22C2×#4038C2211yescharacteristic
23C2×D5×C4⋊C4C2211yescharacteristic
24C2×C5×#106—24no—
25C2×C5×#106C2211yescharacteristic
26C2×C5×#106C2211yescharacteristic
27C2×C5×#106C2211yescharacteristic
28C2×C5×#106C2211yescharacteristic
29#65502—21no—
30#65501C2211yescharacteristic
31#65501C2211yescharacteristic
32#65499—21no—
33C4×C22⋊Dic5—21no—
34C2×C22⋊#168C2211yescharacteristic
35#65400C418yescomplemented
36C2×#3952C2211yescharacteristic
37C2×#3950C2211yescharacteristic
38C2×#3950C2211yescharacteristic
39C2×#3947C2211yescharacteristic
40C2×#3946C2211yescharacteristic
41#65279—21no—
42#65278—21no—
43#65276C2211yescharacteristic
44#65276C2211yescharacteristic
45#65267—21no—
46#65266C2211yescharacteristic
47#65265C2211yescharacteristic
48C4⋊C4×Dic5C2211yescharacteristic
49C4⋊C4×Dic5C2211yescharacteristic
50#65261—21no—
51C2×#3940C2211yescharacteristic
52C2×#3940C2211yescharacteristic
53C2×#3939C2211yescharacteristic
54C2×#3939C2211yescharacteristic
55#65150—24no—
56#64771C2211yescharacteristic
57#64771C2211yescharacteristic
58#64749C2211yescharacteristic
59#64749C2211yescharacteristic
60#64749C2211yescharacteristic
61#64749C2211yescharacteristic
62#22659—51nomaximal, Sylow
63C23×C4×C5—21no—
64C23×C4×C5—21no—
65C23×C4×C5C2311yescharacteristic
66C22×C22⋊D5D411yescharacteristic
67C22×C4×D5—21no—
68C22×C4×D5C2311yescharacteristic
69C22×C5×C8—22no—
70C22×C5×C8—22no—
71C22×C5×C8C2×C414yescomplemented
72C22×C5×C8C2311yescharacteristic
73C22×C5×C8C2311yescharacteristic
74C2×C5×C4⋊C4—22no—
75C2×C5×C4⋊C4—22no—
76C2×C5×C4⋊C4—21no—
77C2×C5×C4⋊C4—21no—
78C2×C5×C4⋊C4—41no—
79C2×C5×C4⋊C4—41no—
80C2×C5×C4⋊C4C2311yescharacteristic
81C2×C5×C4⋊C4C2311yescharacteristic
82C2×C5×C4⋊C4C2311yescharacteristic
83C2×C5×C4⋊C4C2311yescharacteristic
84C2×C22⋊Dic5—21no—
85C2×C22⋊Dic5—21no—
86C2×C22⋊Dic5D411yescharacteristic
87C4×C22⋊D5—44no—
88C4×C22⋊D5C2×C414yes—
89C4×C22⋊D5Q814yes—
90C2×#685—21no—
91C2×#685—21no—
92C2×#685—21no—
93C2×#685D411yescharacteristic
94C2×C4⋊Dic5C2311yescharacteristic
95C2×C4⋊Dic5C2311yescharacteristic
96C2×C4⋊Dic5C2311yescharacteristic
97C2×C4⋊Dic5C2311yescharacteristic
98C2×#683—21no—
99C2×#683—21no—
100C2×#683—21no—
101C2×#683D411yescharacteristic
102C2×C4×Dic5—21no—
103C2×C4×Dic5—21no—
104C2×C4×Dic5—21no—
105C2×C4×Dic5C2311yescharacteristic
106C22×#168C2311yescharacteristic
107C22×#168C2311yescharacteristic
108C2×#676—22no—
109C2×#676—22no—
110C2×#676C2×C414yescomplemented
111#4038—22no—
112#4038—41no—
113D5×C4⋊C4—22no—
114D5×C4⋊C4—41no—
115C5×#106—22no—
116C5×#106—22no—
117C5×#106—22no—
118C5×#106D414yescomplemented
119#3963—21no—
120#3963—21no—
121#3963—21no—
122#3963—21no—
123#3963—21no—
124#3963—21no—
125#3963—21no—
126#3963—21no—
127C22⋊#168C2×C414yescomplemented
128#3952C2×C414yescomplemented
129#3950—22no—
130#3950—22no—
131#3947C2×C414yescomplemented
132#3946C2×C414yescomplemented
133#3940—22no—
134#3940—41no—
135#3939—22no—
136#3939—41no—
137C2×#435—51no—
138C2×#428—51no—
139C22×#106D511yescharacteristic, complemented
140#2352—51no—
141D4×C4⋊C4—51no—
142#1949—51no—
143#1948—51no—
144#1854—51no—
145#1853—51no—
146#1853—51no—
147#1852—51no—
148#1847—51no—
149#1809—51no—
150#1808—51no—
151#1776—51no—
152C24×C5C2×D411yescharacteristic
153C23×D5C2×D411yescharacteristic
154C22×C4×C5—21no—
155C22×C4×C5—21no—
156C22×C4×C5—21no—
157C22×C4×C5—21no—
158C22×C4×C5—21no—
159C22×C4×C5—21no—
160C22×C4×C5—21no—
161C22×C4×C5—21no—
162C22×C4×C5—42no—
163C22×C4×C5—42no—
164C22×C4×C5—42no—
165C22×C4×C5—42no—
166C22×C4×C5—81no—
167C22×C4×C5—81no—
168C22×C4×C5C22×C412yes—
169C22×C4×C5C2×D411yescharacteristic
170C22×C4×C5C2×Q812yes—
171C22×C4×C5C2411yescharacteristic
172C2×C22⋊D5—22no—
173C2×C22⋊D5—22no—
174C2×C22⋊D5C4⋊C414yes—
175C22×Dic5—21no—
176C22×Dic5—21no—
177C22×Dic5—21no—
178C22×Dic5—21no—
179C22×Dic5C2×D411yescharacteristic
180C22×Dic5C2×D411yescharacteristic
181C22×Dic5C2×D411yescharacteristic
182C2×C4×D5—21no—
183C2×C4×D5—21no—
184C2×C4×D5—21no—
185C2×C4×D5—21no—
186C2×C4×D5—42no—
187C2×C4×D5—42no—
188C2×C4×D5—81no—
189C2×C4×D5C22×C412yes—
190C2×C4×D5C2×Q812yes—
191C2×C5×C8—21no—
192C2×C5×C8—21no—
193C2×C5×C8—28no—
194C2×C5×C8C22×C412yes—
195C2×C5×C8C22×C412yes—
196C2×C5×C8C2×D412yes—
197C2×C5×C8#4112yes—
198C5×C4⋊C4—21no—
199C5×C4⋊C4—21no—
200C5×C4⋊C4—21no—
201C5×C4⋊C4—21no—
202C5×C4⋊C4—21no—
203C5×C4⋊C4—21no—
204C5×C4⋊C4—42no—
205C5×C4⋊C4—42no—
206C5×C4⋊C4C2×D412yes—
207C5×C4⋊C4C2×D412yes—
208C22⋊Dic5—42no—
209C22⋊Dic5—42no—
210C22⋊Dic5C4⋊C414yes—
211#685—42no—
212#685—42no—
213#685—81no—
214#685C4⋊C414yes—
215C4⋊Dic5—21no—
216C4⋊Dic5—21no—
217C4⋊Dic5—21no—
218C4⋊Dic5—21no—
219C4⋊Dic5—21no—
220C4⋊Dic5—21no—
221C4⋊Dic5—21no—
222C4⋊Dic5—21no—
223#683—42no—
224#683—42no—
225#683—81no—
226#683C4⋊C414yes—
227C4×Dic5—42no—
228C4×Dic5—42no—
229C4×Dic5—81no—
230C4×Dic5C22×C412yes—
231C4×Dic5C2×Q812yes—
232C2×#168—21no—
233C2×#168—21no—
234C2×#168—21no—
235C2×#168—21no—
236C2×#168C22×C412yes—
237C2×#168C22×C412yes—
238#676—28no—
239C22×M16—51no—
240C23×C8C2×D511yescharacteristic
241C2×C4×D4—51no—
242C2×C4×D4—101no—
243C2×#117—51no—
244C22×C4⋊C4—51no—
245C22×C4⋊C4C2×D511yescharacteristic
246C22×C4⋊C4C2×D511yescharacteristic
247#435—58no—
248#428—104no—
249C2×#107—51no—
250C2×#107—51no—
251C2×#107—51no—
252C2×#107—51no—
253C2×#106—24no—
254C2×#106—51no—
255C2×#106—51no—
256C2×#106C2×D511yescharacteristic
257C2×#106C2×D511yescharacteristic
258C2×#106C2×D511yescharacteristic
259C2×#106C2×D511yescharacteristic
260C2×C4⋊C8—51no—
261C2×C22⋊C8—51no—
262C2×C22⋊C8—51no—
263C2×#97—51no—
264#389—101no—
265#388—101no—
266#387—101no—
267#386—101no—
268#385—101no—
269#385—101no—
270#384—51no—
271#382—51no—
272#380—51no—
273#380—51no—
274#380—51no—
275#380—51no—
276C4×C4⋊C4—51no—
277C4×C4⋊C4—51no—
278C4×C22⋊C4—101no—
279#340—51no—
280#340—51no—
281#340—51no—
282#340—51no—
283#340—51no—
284#340—51no—
285C23×C5—21no—
286C23×C5—21no—
287C23×C5—21no—
288C23×C5—21no—
289C23×C5C2×C4⋊C412yes—
290C23×C5AGL(1,ℤ/8)12yes—
291C23×C5#13712yes—
292C23×C5C22×D411yescharacteristic
293C22×D5—21no—
294C22×D5—21no—
295C22×D5—21no—
296C22×D5—21no—
297C22×D5—21no—
298C22×D5—21no—
299C22×D5C2×C4⋊C412yes—
300C2×C4×C5—21no—
301C2×C4×C5—21no—
302C2×C4×C5—22no—
303C2×C4×C5—22no—
304C2×C4×C5—22no—
305C2×C4×C5—22no—
306C2×C4×C5—22no—
307C2×C4×C5—22no—
308C2×C4×C5—41no—
309C2×C4×C5—41no—
310C2×C4×C5—41no—
311C2×C4×C5—41no—
312C2×C4×C5—41no—
313C2×C4×C5—41no—
314C2×C4×C5—41no—
315C2×C4×C5—41no—
316C2×C4×C5—41no—
317C2×C4×C5—41no—
318C2×C4×C5—84no—
319C2×C4×C5—84no—
320C2×C4×C5C2×C4⋊C412yes—
321C2×C4×C5C23×C411yescharacteristic
322C2×C4×C5C22×D411yescharacteristic
323C2×C4×C5C22×Q811yescharacteristic
324C2×C4×C5C2×#4111yescharacteristic
325C2×C4×C5H(5,𝔽2)11yescharacteristic
326C2×C4×C52−1+411yescharacteristic
327C22⋊D5—28no—
328C2×Dic5—21no—
329C2×Dic5—21no—
330C2×Dic5—21no—
331C2×Dic5—21no—
332C2×Dic5—21no—
333C2×Dic5—21no—
334C2×Dic5—41no—
335C2×Dic5—41no—
336C2×Dic5—41no—
337C2×Dic5—41no—
338C2×Dic5—41no—
339C2×Dic5—41no—
340C2×Dic5—41no—
341C2×Dic5—41no—
342C2×Dic5—41no—
343C2×Dic5—41no—
344C2×Dic5—41no—
345C2×Dic5—41no—
346C2×Dic5C2×C4⋊C412yes—
347C2×Dic5C2×C4⋊C412yes—
348C2×Dic5C2×C4⋊C412yes—
349C4×D5—22no—
350C4×D5—22no—
351C4×D5—22no—
352C4×D5—22no—
353C4×D5—84no—
354C5×C8—22no—
355C5×C8C4×D414yescomplemented
356#168—22no—
357#168—22no—
358C22×D4—51no—
359C23×C4—21no—
360C23×C4—21no—
361C23×C4—51no—
362C23×C4—101no—
363C23×C4C22×D511yescharacteristic
364C2×M16—54no—
365C2×M16—102no—
366C2×M16—102no—
367C22×C8—22no—
368C22×C8—22no—
369C22×C8—51no—
370C22×C8—51no—
371C22×C8C4×D514yescomplemented
372C22×C8C22×D511yescharacteristic
373C22×C8C22×D511yescharacteristic
374C4×D4—54no—
375C4×D4—54no—
376C4×D4—204no—
377#117—102no—
378#117—201no—
379C2×C4⋊C4—22no—
380C2×C4⋊C4—22no—
381C2×C4⋊C4—21no—
382C2×C4⋊C4—21no—
383C2×C4⋊C4—41no—
384C2×C4⋊C4—41no—
385C2×C4⋊C4—51no—
386C2×C4⋊C4—51no—
387C2×C4⋊C4—51no—
388C2×C4⋊C4—51no—
389C2×C4⋊C4—51no—
390C2×C4⋊C4—102no—
391C2×C4⋊C4—101no—
392C2×C4⋊C4—101no—
393C2×C4⋊C4—101no—
394C2×C4⋊C4—201no—
395C2×C4⋊C4C22×D511yescharacteristic
396C2×C4⋊C4C22×D511yescharacteristic
397C2×C4⋊C4C22×D511yescharacteristic
398C2×C4⋊C4C22×D511yescharacteristic
399C2×C22⋊C4—51no—
400C2×C22⋊C4—51no—
401C2×C22⋊C4—101no—
402C2×C22⋊C4—101no—
403C2×C22⋊C4—101no—
404C2×C22⋊C4—101no—
405C2×C22⋊C4—101no—
406C2×C42—51no—
407C2×C42—101no—
408C2×C42—101no—
409C2×C42—101no—
410#107—102no—
411#107—102no—
412#107—102no—
413#107—201no—
414#106—22no—
415#106—22no—
416#106—22no—
417#106—102no—
418#106—201no—
419#106C22⋊D514yescomplemented
420C4⋊C8—54no—
421C22⋊C8—54no—
422C22⋊C8—54no—
423#97—54no—
424#95—101no—
425#95—101no—
426#95—101no—
427#95—101no—
428#95—101no—
429#95—101no—
430#95—101no—
431#95—101no—
432C22×C5—22no—
433C22×C5—22no—
434C22×C5—22no—
435C22×C5—22no—
436C22×C5—22no—
437C22×C5—22no—
438C22×C5#42814yescomplemented
439C22×C5C22×C4⋊C411yescharacteristic
440C22×C5D4211yescharacteristic
441C22×C5#54711yescharacteristic
442C22×C5C2×AGL(1,ℤ/8)11yescharacteristic
443C22×C5C2×#13711yescharacteristic
444C22×C5#57711yescharacteristic
445C22×C5#57711yescharacteristic
446C2×D5—22no—
447C2×D5—22no—
448C2×D5—22no—
449C2×D5—41no—
450C2×D5—41no—
451C2×D5—41no—
452C2×D5—41no—
453C4×C5—22no—
454C4×C5—42no—
455C4×C5—42no—
456C4×C5—81no—
457C4×C5—81no—
458C4×C5C2×C4×D411yescharacteristic
459C4×C5#52011yescharacteristic
460C4×C5D4×Q811yescharacteristic
461C4×C5#55411yescharacteristic
462Dic5—22no—
463Dic5—22no—
464Dic5—22no—
465Dic5—81no—
466Dic5—81no—
467Dic5—81no—
468Dic5—81no—
469C24—51no—
470C24D4×D511yescharacteristic
471C2×D4—54no—
472C2×D4—102no—
473C2×D4—102no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—51no—
487C22×C4—51no—
488C22×C4—51no—
489C22×C4—52no—
490C22×C4—52no—
491C22×C4—81no—
492C22×C4—81no—
493C22×C4—101no—
494C22×C4—101no—
495C22×C4—101no—
496C22×C4—101no—
497C22×C4—101no—
498C22×C4—101no—
499C22×C4—101no—
500C22×C4—101no—
501C22×C4—202no—
502C22×C4—202no—
503C22×C4—401no—
504C22×C4C2×C4×D512yes—
505C22×C4D4×D511yescharacteristic
506C22×C4Q8×D512yes—
507C22×C4C23×D511yescharacteristic
508M16—108no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—28no—
512C2×C8—52no—
513C2×C8—52no—
514C2×C8—101no—
515C2×C8—101no—
516C2×C8—101no—
517C2×C8—101no—
518C2×C8C2×C4×D512yes—
519C2×C8C2×C4×D512yes—
520C2×C8#70912yes—
521C2×C8C2×C22⋊D512yes—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—42no—
529C4⋊C4—42no—
530C4⋊C4—54no—
531C4⋊C4—101no—
532C4⋊C4—101no—
533C4⋊C4—101no—
534C4⋊C4—101no—
535C4⋊C4—101no—
536C4⋊C4—101no—
537C4⋊C4—101no—
538C4⋊C4—101no—
539C4⋊C4—202no—
540C4⋊C4—202no—
541C4⋊C4—401no—
542C4⋊C4C2×C22⋊D512yes—
543C4⋊C4C2×C22⋊D512yes—
544C22⋊C4—54no—
545C22⋊C4—54no—
546C22⋊C4—202no—
547C22⋊C4—202no—
548C22⋊C4—202no—
549C22⋊C4—202no—
550C22⋊C4—401no—
551C42—52no—
552C42—52no—
553C42—202no—
554C42—202no—
555C42—401no—
556C2×C5—24no—
557C2×C5D4×C4⋊C411yescharacteristic
558C2×C5C2×#42811yescharacteristic
559C2×C5#291211yescharacteristic
560C2×C5#326511yescharacteristic
561C2×C5#326611yescharacteristic
562C2×C5#334411yescharacteristic
563C2×C5#334511yescharacteristic
564D5—42no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—52no—
570C23—101no—
571C23—101no—
572C23—101no—
573C23—101no—
574C23—101no—
575C23—101no—
576C23D5×C4⋊C412yes—
577C23#406012yes—
578C23#406112yes—
579C23C2×D4×D511yescharacteristic
580D4—108no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—52no—
600C2×C4—52no—
601C2×C4—52no—
602C2×C4—84no—
603C2×C4—84no—
604C2×C4—101no—
605C2×C4—101no—
606C2×C4—101no—
607C2×C4—101no—
608C2×C4—101no—
609C2×C4—101no—
610C2×C4—102no—
611C2×C4—102no—
612C2×C4—102no—
613C2×C4—102no—
614C2×C4—201no—
615C2×C4—201no—
616C2×C4—201no—
617C2×C4—201no—
618C2×C4—201no—
619C2×C4—201no—
620C2×C4—201no—
621C2×C4—201no—
622C2×C4—201no—
623C2×C4—201no—
624C2×C4—201no—
625C2×C4—201no—
626C2×C4—404no—
627C2×C4D5×C4⋊C412yes—
628C2×C4C22×C4×D511yescharacteristic
629C2×C4C2×#70911yescharacteristic
630C2×C4#414411yescharacteristic
631C2×C4C2×Q8×D511yescharacteristic
632C2×C4#414711yescharacteristic
633C2×C4C22×C22⋊D511yescharacteristic
634C8—22no—
635C8—102no—
636C8—102no—
637C8C4×C22⋊D514yescomplemented
638C5#2265911yescharacteristic, complemented, Sylow
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—102no—
646C22—102no—
647C22—102no—
648C22—201no—
649C22—201no—
650C22—201no—
651C22—201no—
652C22#6515014yescomplemented
653C22C2×D5×C4⋊C411yescharacteristic
654C22#6584111yescharacteristic
655C22C2×#406011yescharacteristic
656C22C2×#406111yescharacteristic
657C22#6609611yescharacteristic
658C22#6609611yescharacteristic
659C22D4×C22⋊D511yescharacteristic
660C4—22no—
661C4—42no—
662C4—42no—
663C4—81no—
664C4—81no—
665C4—102no—
666C4—102no—
667C4—102no—
668C4—401no—
669C4—401no—
670C4—401no—
671C4—401no—
672C4#6583811yescharacteristic
673C4#6584511yescharacteristic
674C4C2×C4×C22⋊D511yescharacteristic
675C4Q8×C22⋊D511yescharacteristic
676C2—24no—
677C2—202no—
678C2C2×#6515011yescharacteristic
679C2#1061084711yescharacteristic
680C2#1061085711yescharacteristic
681C2#1061085811yescharacteristic
682C2C4⋊C4×C22⋊D511yescharacteristic
683C2#1061559511yescharacteristic
684C2#1061559711yescharacteristic
subgroupG/H
centerC23C2×D4×D5
commutatorC2×C4×C5C23×C4
FrattiniC22×C4C23×D5
FittingC22×C5×#106C2
socleC23×C5C22×D4
prime radicalC22×C22⋊D5D4
cosocleC22×C4×C5C24
hypercenterC22×#106D5
hypocenterC5#22659
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#106

Complements

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

NH ≅ G/Ntype
1. C22×C5×#106C2semidirect
5. C2×#65150C2semidirect
6. #10602764C2semidirect
7. #10602349C2semidirect
8. #10602348C2semidirect
9. #10601373C2semidirect
10. #10601372C2semidirect
11. #10601371C2semidirect
12. #10601357C2semidirect
13. #10601356C2semidirect
14. #10601349C2semidirect
15. #10601346C2semidirect
35. #65400C4semidirect
71. C22×C5×C8C2×C4semidirect
110. C2×#676C2×C4semidirect
118. C5×#106D4semidirect
127. C22⋊#168C2×C4semidirect
128. #3952C2×C4semidirect
131. #3947C2×C4semidirect
132. #3946C2×C4semidirect
139. C22×#106D5semidirect
355. C5×C8C4×D4semidirect
371. C22×C8C4×D5semidirect
419. #106C22⋊D5semidirect
438. C22×C5#428semidirect
637. C8C4×C22⋊D5semidirect
638. C5#22659semidirect
652. C22#65150semidirect

Maximal subgroups

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

subgroupindex
C22×C5×#1062
C2×#654002
C4⋊C4×C22⋊D52
#106138922
C2×#651502
#106027642
#106023492
#106023482
#106013732
#106013722
#106013712
#106013572
#106013562
#106013492
#106013462
#226595