Finite Group Databasebeta

← #11889410

Subgroups — #11889410

Order 1152.

814 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#10594825C211yesmaximal, characteristic
2#10594803C211yesmaximal, characteristic
3#10592810C211yesmaximal, characteristic
4C3×#5116C211yesmaximal, characteristic, complemented
5C2×C3×#816C211yesmaximal, characteristic, complemented
6#10591185C211yesmaximal, characteristic, complemented
7#10591101C211yesmaximal, characteristic, complemented
8#10590950C211yesmaximal, characteristic, complemented
9#10590904C211yesmaximal, characteristic, complemented
10#10590856C211yesmaximal, characteristic, complemented
11#10590821C211yesmaximal, characteristic, complemented
12#10590798C211yesmaximal, characteristic, complemented
13#10590791C211yesmaximal, characteristic, complemented
14#10590715C211yesmaximal, characteristic, complemented
15#10590691C211yesmaximal, characteristic, complemented
16#80782—31nomaximal
17#78810—31nomaximal
18C22×C3×Dic6C2211yescharacteristic
19C2×#3797C2211yescharacteristic
20C22×C32×C8C2211yescharacteristic
21C4×#638C2211yescharacteristic
22C2×#3743C2211yescharacteristic
23C2×C3×C4⋊Dic3C2211yescharacteristic
24C3×#924C2211yescharacteristic
25C3×#924C2211yescharacteristic
26C2×C3×Dic12C2211yescharacteristic
27#63966—21no—
28#63964—21no—
29#63955—21no—
30#63952—21no—
31#63888—21no—
32#63873C2211yescharacteristic
33#63872C2211yescharacteristic
34#63871C2211yescharacteristic
35#63871C2211yescharacteristic
36#63849C2211yescharacteristic
37#63848—21no—
38#63846—21no—
39#63843C2211yescharacteristic
40#63843C2211yescharacteristic
41#63839—21no—
42C2×#3718C2211yescharacteristic
43C2×#3718C2211yescharacteristic
44#63657C2211yescharacteristic
45#63647C2211yescharacteristic
46#63642C2211yescharacteristic
47#63641C2211yescharacteristic
48C3×#818C2211yescharacteristic
49C3×#816C2211yescharacteristic
50C3×#816C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×#816C2211yescharacteristic
53C3×#816C2211yescharacteristic
54C3×#816C2211yescharacteristic
55#63574C2211yescharacteristic
56#63574C2211yescharacteristic
57#63565C2211yescharacteristic
58#63565C2211yescharacteristic
59#63565C2211yescharacteristic
60#63565C2211yescharacteristic
61Q8×#67—31no—
62#5642—31no—
63#5632—31no—
64#5513—31no—
65C3×#467—31no—
66C2×C3×#103—31no—
67#5228—31no—
68#5186—31no—
69#5182—31no—
70#5116D311yescharacteristic, complemented
71#5111—31no—
72#5111—31no—
73#5111—61no—
74C2×#816D311yescharacteristic, complemented
75#5050—31no—
76#5043—31no—
77#4971—31no—
78#4888—31no—
79#4877—31no—
80#4816—31no—
81#4816—31no—
82#4814—31no—
83#4809—31no—
84#4802—31no—
85#4802—31no—
86#4797—31no—
87#4797—31no—
88#4796—31no—
89#4795—31no—
90#4789—31no—
91#4789—31no—
92C22×C32×C4C2311yescharacteristic
93C2×#638D411yescharacteristic
94C2×C4×C3⋊D3C2311yescharacteristic
95C22×C3×Dic3—21no—
96C22×C3×Dic3—21no—
97C2×C3×Dic6—22no—
98C2×C3×Dic6—21no—
99C2×C3×Dic6—41no—
100C2×C3×Dic6C2311yescharacteristic
101C2×C3×Dic6C2311yescharacteristic
102C2×C3×Dic6C2311yescharacteristic
103C2×C3×Dic6C2311yescharacteristic
104C2×#627—21no—
105C2×#624—21no—
106#3797—22no—
107#3797—41no—
108C2×C32×C8—41no—
109C2×C32×C8C2311yescharacteristic
110C2×C32×C8C2311yescharacteristic
111#3757D411yescharacteristic
112#3752D411yescharacteristic
113#3750D411yescharacteristic
114C4×C3⋊Dic3C2311yescharacteristic
115C2×C3⋊(C3⋊C8)C2311yescharacteristic
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117#3743—41no—
118C3×#217—21no—
119C3×#217—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×C4⋊Dic3C2311yescharacteristic
125C3×Dic3⋊C4—21no—
126C3×Dic3⋊C4—21no—
127C3×Dic12—41no—
128#3724—21no—
129#3724—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3—21no—
136#3722—21no—
137#3722—21no—
138#3722—21no—
139Dic32—21no—
140Dic32—21no—
141Dic32—21no—
142#3718—22no—
143#3718—41no—
144#3312—91noSylow
145C22×C3×Q8—31no—
146C2×D3×Q8—31no—
147C2×D3×Q8—31no—
148C22×Dic6C2×D311yescharacteristic
149C2×C3×Q16—31no—
150C22×C3×C8—21no—
151C22×C3×C8C2×D311yescharacteristic
152C22×C3×C8C2×D311yescharacteristic
153C3×C22⋊Q8—31no—
154C3×C22⋊Q8—31no—
155C2×C3×C4⋊C4—31no—
156#946—31no—
157#946—31no—
158#946—61no—
159Q8×Dic3—31no—
160Q8×Dic3—31no—
161#944—31no—
162#944—31no—
163#944—61no—
164C2×#216—31no—
165C2×#216—31no—
166C2×#216—31no—
167C2×#216—31no—
168#929—61no—
169C4×#67—31no—
170C4×#67—31no—
171C4×#67—61no—
172C4×#67—61no—
173#926—61no—
174C2×C4⋊Dic3C2×D311yescharacteristic
175#924—61no—
176#924C2×D311yescharacteristic
177#924C2×D311yescharacteristic
178C2×Dic12C2×D311yescharacteristic
179C2×ΓL(1,𝔽25)—31no—
180C2×ΓL(1,𝔽25)—31no—
181C2×ΓL(1,𝔽25)—61no—
182#898—61no—
183#898—61no—
184#897—31no—
185#897—31no—
186#896—61no—
187#892—31no—
188#892—31no—
189#890—31no—
190#890—31no—
191#890—61no—
192#889—61no—
193#888—61no—
194#887—31no—
195#887—31no—
196#886—61no—
197#67⋊C4—61no—
198#878—61no—
199#877—61no—
200C3×#107—31no—
201C3×#103—31no—
202C3×#103—31no—
203C3×#103—31no—
204C3×#103—31no—
205C3×#103—31no—
206C3×#103—31no—
207#835—31no—
208#835—31no—
209#835—31no—
210#835—31no—
211#830—31no—
212#830—31no—
213#830—61no—
214(C2×D3)⋊C8—31no—
215(C2×D3)⋊C8—31no—
216(C2×D3)⋊C8—61no—
217#818C2×D311yescharacteristic
218#816C2×D311yescharacteristic
219#816C2×D311yescharacteristic
220#816C2×D311yescharacteristic
221#816C2×D311yescharacteristic
222#816C2×D311yescharacteristic
223#816C2×D311yescharacteristic
224#815—31no—
225#815—31no—
226#815—61no—
227Dic3⋊C8—31no—
228Dic3⋊C8—31no—
229Dic3⋊C8—61no—
230#810—31no—
231#810—31no—
232#810—31no—
233#810—31no—
234#808—31no—
235#808—31no—
236#808—31no—
237#808—31no—
238C23×C32C2×D411yescharacteristic
239C22×C3⋊D3C2×D411yescharacteristic
240C2×C32×C4—21no—
241C2×C32×C4—21no—
242C2×C32×C4C2×D411yescharacteristic
243C2×C32×C4C2411yescharacteristic
244#638—22no—
245C2×C3⋊Dic3C2×D411yescharacteristic
246C2×C3⋊Dic3C2×D411yescharacteristic
247C2×C3⋊Dic3C2×D411yescharacteristic
248C4×C3⋊D3—21no—
249C4×C3⋊D3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3—21no—
257C2×C3×Dic3—21no—
258C2×C3×Dic3—42no—
259C2×C3×Dic3—42no—
260C3×Dic6—21no—
261C3×Dic6—21no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6—21no—
266C3×Dic6—21no—
267C3×Dic6—42no—
268C3×Dic6#4112yes—
269#627—42no—
270#624—42no—
271C32×C8—21no—
272C32×C8—21no—
273C3⋊(C3⋊C8)—21no—
274C3⋊(C3⋊C8)—21no—
275#552—91no—
276D4×Q8—91no—
277#491—91no—
278#485—91no—
279#483—91no—
280#479—91no—
281#470—91no—
282#467—31no—
283#462—91no—
284#451—91no—
285#451—91no—
286#441—91no—
287#435—91no—
288#419—91no—
289C2×#103—31no—
290C2×C3×Q8—31no—
291C2×C3×Q8—31no—
292C2×C3×Q8—31no—
293C2×C3×Q8—31no—
294C2×C3×Q8—62no—
295C2×C3×Q8—61no—
296C2×C3×Q8—121no—
297C22×C3×C4—21no—
298C22×C3×C4—61no—
299C22×C3×C4—61no—
300C22×C3×C4C22×D311yescharacteristic
301C22×C3×C4C22×D311yescharacteristic
302C2×#67—31no—
303C2×#67—31no—
304C2×#67—61no—
305C22×Dic3—21no—
306C22×Dic3—21no—
307D3×Q8—62no—
308D3×Q8—62no—
309D3×Q8—121no—
310D3×Q8—121no—
311C2×C4×D3—31no—
312C2×C4×D3—31no—
313C2×C4×D3—61no—
314C2×C4×D3—61no—
315C2×C4×D3—61no—
316C2×Dic6—22no—
317C2×Dic6—21no—
318C2×Dic6—41no—
319C2×Dic6—61no—
320C2×Dic6—61no—
321C2×Dic6C22×D311yescharacteristic
322C2×Dic6C22×D311yescharacteristic
323C2×Dic6C22×D311yescharacteristic
324C2×Dic6C22×D311yescharacteristic
325C3×Q16—121no—
326C2×C3×C8—21no—
327C2×C3×C8—21no—
328C2×C3×C8—41no—
329C2×C3×C8—41no—
330C2×C3×C8—42no—
331C2×C3×C8C22×D311yescharacteristic
332C2×C3×C8C22×D311yescharacteristic
333C2×C3×C8C22×D311yescharacteristic
334C2×C3×C8C22×D311yescharacteristic
335C3×C4⋊C4—31no—
336C3×C4⋊C4—31no—
337C3×C4⋊C4—31no—
338C3×C4⋊C4—31no—
339C3×C4⋊C4—61no—
340C3×C4⋊C4—61no—
341C3×C4⋊C4—61no—
342C3×C22⋊C4—61no—
343C3×C22⋊C4—61no—
344#217—21no—
345#217—21no—
346#217—31no—
347#217—31no—
348#217—61no—
349#216—62no—
350#216—62no—
351#216—121no—
352#216—121no—
353(C2×D3)⋊C4—31no—
354(C2×D3)⋊C4—31no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—61no—
362C4⋊Dic3—21no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3C22×D311yescharacteristic
370C4⋊Dic3C22×D311yescharacteristic
371C4⋊Dic3C22×D311yescharacteristic
372C4⋊Dic3C22×D311yescharacteristic
373Dic3⋊C4—21no—
374Dic3⋊C4—21no—
375Dic3⋊C4—31no—
376Dic3⋊C4—31no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—61no—
387Dic3⋊C4—61no—
388C4×Dic3—31no—
389C4×Dic3—31no—
390C4×Dic3—61no—
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—61no—
395C4×Dic3—61no—
396C4×Dic3—61no—
397C2×C3⋊C8—31no—
398C2×C3⋊C8—31no—
399C2×C3⋊C8—31no—
400C2×C3⋊C8—31no—
401C2×C3⋊C8—61no—
402C2×C3⋊C8—61no—
403Dic12—41no—
404ΓL(1,𝔽25)—121no—
405ΓL(1,𝔽25)—121no—
406ΓL(1,𝔽25)—122no—
407C22×C32—21no—
408C22×C32—21no—
409C22×C32#13712yes—
410C22×C32C22×D411yescharacteristic
411C2×C3⋊D3—21no—
412C2×C3⋊D3—21no—
413C2×C3⋊D3—21no—
414C32×C4—21no—
415C32×C4C2×#4111yescharacteristic
416C32×C4H(5,𝔽2)11yescharacteristic
417C3⋊Dic3—21no—
418C3⋊Dic3—21no—
419C3⋊Dic3—21no—
420C3×Dic3—22no—
421C3×Dic3—41no—
422C3×Dic3—41no—
423C3×Dic3—41no—
424C3×Dic3—41no—
425C3×Dic3—41no—
426C3×Dic3—41no—
427C3×Dic3—41no—
428C22×Q8—31no—
429C22×Q8—91no—
430C2×Q16—31no—
431C2×Q16—91no—
432C2×Q16—91no—
433C2×M16—91no—
434C22×C8D3211yescharacteristic
435C4⋊Q8—91no—
436C4⋊Q8—181no—
437#126—181no—
438#125—91no—
439#125—181no—
440#123—181no—
441C22⋊Q8—31no—
442C22⋊Q8—31no—
443C22⋊Q8—91no—
444C22⋊Q8—91no—
445C22⋊Q8—181no—
446C22⋊Q8—181no—
447C4×Q8—91no—
448C4×Q8—91no—
449C4×D4—91no—
450C4×D4—181no—
451#117—91no—
452#117—181no—
453C2×C4⋊C4—31no—
454#107—31no—
455#106—91no—
456#106—91no—
457C4⋊C8—91no—
458#103—31no—
459#103—31no—
460#103—31no—
461#103—31no—
462#103—31no—
463#103—31no—
464#103—91no—
465#103—91no—
466#103—91no—
467#103—91no—
468C22⋊C8—91no—
469C22⋊C8—91no—
470#97—91no—
471C23×C3—21no—
472C23×C3D3×D411yescharacteristic
473C23×C3D3×D411yescharacteristic
474C22×D3—31no—
475C22×D3—31no—
476C22×D3—61no—
477C3×Q8—32no—
478C3×Q8—61no—
479C3×Q8—61no—
480C3×Q8—61no—
481C3×Q8—61no—
482C3×Q8—61no—
483C3×Q8—61no—
484C3×Q8—61no—
485C3×Q8—122no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—41no—
493C2×C3×C4—41no—
494C2×C3×C4—61no—
495C2×C3×C4—61no—
496C2×C3×C4—61no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—61no—
502C2×C3×C4—122no—
503C2×C3×C4—122no—
504C2×C3×C4D3×D411yescharacteristic
505C2×C3×C4D3×D411yescharacteristic
506C2×C3×C4C23×D311yescharacteristic
507C2×C3×C4C23×D311yescharacteristic
508#67—62no—
509#67—62no—
510#67—122no—
511C2×Dic3—21no—
512C2×Dic3—21no—
513C2×Dic3—21no—
514C2×Dic3—21no—
515C2×Dic3—21no—
516C2×Dic3—21no—
517C2×Dic3—21no—
518C2×Dic3—21no—
519C2×Dic3—31no—
520C2×Dic3—31no—
521C2×Dic3—31no—
522C2×Dic3—31no—
523C2×Dic3—31no—
524C2×Dic3—31no—
525C2×Dic3—42no—
526C2×Dic3—42no—
527C2×Dic3—61no—
528C2×Dic3—61no—
529C2×Dic3—61no—
530C4×D3—61no—
531C4×D3—61no—
532C4×D3—61no—
533C4×D3—61no—
534C4×D3—121no—
535C4×D3—121no—
536C4×D3—122no—
537C4×D3—122no—
538Dic6—21no—
539Dic6—21no—
540Dic6—21no—
541Dic6—21no—
542Dic6—21no—
543Dic6—21no—
544Dic6—21no—
545Dic6—42no—
546Dic6—122no—
547Dic6—122no—
548Dic6#23512yes—
549C3×C8—22no—
550C3×C8—21no—
551C3×C8—21no—
552C3×C8—21no—
553C3×C8—21no—
554C3×C8—41no—
555C3⋊C8—61no—
556C3⋊C8—61no—
557C3⋊C8—61no—
558C3⋊C8—61no—
559C3⋊C8—121no—
560C3⋊C8—121no—
561C2×C32—22no—
562C2×C32#54611yescharacteristic
563C2×C32C2×#13711yescharacteristic
564C2×C32#57811yescharacteristic
565C3⋊D3—41no—
566C2×Q8—31no—
567C2×Q8—31no—
568C2×Q8—31no—
569C2×Q8—31no—
570C2×Q8—62no—
571C2×Q8—61no—
572C2×Q8—121no—
573C2×Q8—181no—
574C2×Q8—182no—
575C2×Q8—361no—
576C2×D4—91no—
577C22×C4—61no—
578C22×C4—61no—
579C22×C4—91no—
580C22×C4—181no—
581C22×C4C2×D3211yescharacteristic
582Q16—121no—
583Q16—182no—
584Q16—361no—
585M16—361no—
586C2×C8—41no—
587C2×C8—91no—
588C2×C8—91no—
589C2×C8C2×D3211yescharacteristic
590C2×C8C2×D3211yescharacteristic
591C4⋊C4—31no—
592C4⋊C4—31no—
593C4⋊C4—31no—
594C4⋊C4—31no—
595C4⋊C4—61no—
596C4⋊C4—61no—
597C4⋊C4—61no—
598C4⋊C4—91no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4—181no—
605C4⋊C4—181no—
606C4⋊C4—181no—
607C22⋊C4—61no—
608C22⋊C4—61no—
609C22⋊C4—91no—
610C22⋊C4—91no—
611C22⋊C4—181no—
612C22⋊C4—181no—
613C22⋊C4—181no—
614C42—91no—
615C42—181no—
616C42—181no—
617C42—181no—
618C22×C3—21no—
619C22×C3—21no—
620C22×C3—21no—
621C22×C3—21no—
622C22×C3—21no—
623C22×C3—22no—
624C22×C3—41no—
625C22×C3—41no—
626C22×C3#91512yes—
627C22×C3#91812yes—
628C22×C3C2×D3×D411yescharacteristic
629C22×C3C2×D3×D411yescharacteristic
630C2×D3—61no—
631C2×D3—61no—
632C2×D3—61no—
633C2×D3—61no—
634C2×D3—61no—
635C2×D3—61no—
636C2×D3—121no—
637C2×D3—121no—
638C2×D3—121no—
639C3×C4—21no—
640C3×C4—21no—
641C3×C4—21no—
642C3×C4—21no—
643C3×C4—41no—
644C3×C4—62no—
645C3×C4—121no—
646C3×C4—121no—
647C3×C4—121no—
648C3×C4—121no—
649C3×C4—121no—
650C3×C4—121no—
651C3×C4—121no—
652C3×C4C2×#23511yescharacteristic
653C3×C4#100411yescharacteristic
654C3×C4#100411yescharacteristic
655C3×C4D3×#4111yescharacteristic
656Dic3—22no—
657Dic3—41no—
658Dic3—41no—
659Dic3—41no—
660Dic3—41no—
661Dic3—41no—
662Dic3—41no—
663Dic3—41no—
664Dic3—61no—
665Dic3—61no—
666Dic3—61no—
667Dic3—61no—
668Dic3—61no—
669Dic3—61no—
670Dic3—121no—
671Dic3—121no—
672Dic3—121no—
673C32#331211yescharacteristic, complemented, Sylow
674C23—91no—
675C23#380211yescharacteristic
676Q8—32no—
677Q8—61no—
678Q8—61no—
679Q8—61no—
680Q8—61no—
681Q8—61no—
682Q8—61no—
683Q8—61no—
684Q8—122no—
685Q8—362no—
686D4—182no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—61no—
693C2×C4—61no—
694C2×C4—61no—
695C2×C4—61no—
696C2×C4—61no—
697C2×C4—91no—
698C2×C4—91no—
699C2×C4—91no—
700C2×C4—122no—
701C2×C4—122no—
702C2×C4—181no—
703C2×C4—181no—
704C2×C4—362no—
705C2×C4#380211yescharacteristic
706C2×C4C22×D3211yescharacteristic
707C8—21no—
708C8—21no—
709C8—181no—
710C8—181no—
711C2×C3—22no—
712C2×C3—22no—
713C2×C3—21no—
714C2×C3—21no—
715C2×C3—21no—
716C2×C3—42no—
717C2×C3#549011yescharacteristic
718C2×C3#561011yescharacteristic
719C2×C3C2×#91511yescharacteristic
720C2×C3C2×#91811yescharacteristic
721C2×C3#576611yescharacteristic
722C2×C3#577111yescharacteristic
723D3—121no—
724D3—121no—
725D3—241no—
726C22—21no—
727C22—21no—
728C22—181no—
729C22—181no—
730C22—181no—
731C22#6381112yes—
732C22C2×#380211yescharacteristic
733C4—21no—
734C4—62no—
735C4—121no—
736C4—121no—
737C4—121no—
738C4—121no—
739C4—121no—
740C4—121no—
741C4—121no—
742C4—181no—
743C4—181no—
744C4—181no—
745C4D3×#23511yescharacteristic
746C4#6433011yescharacteristic
747C3—21no—
748C3#7881011yescharacteristic, complemented
749C3#8078211yescharacteristic, complemented
750C2—22no—
751C2—361no—
752C2C2×#6381111yescharacteristic
753C2#1059470311yescharacteristic
754C2#1059508311yescharacteristic
subgroupG/H
centerC22C2×#3802
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC22×C32×C8C22
socleC22×C32C22×D4
prime radicalC2×#638D4
hypercenterC22×C8D32
hypocenterC32#3312
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×C8

Complements

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

NH ≅ G/Ntype
4. C3×#5116C2semidirect
5. C2×C3×#816C2semidirect
6. #10591185C2semidirect
7. #10591101C2semidirect
8. #10590950C2semidirect
9. #10590904C2semidirect
10. #10590856C2semidirect
11. #10590821C2semidirect
12. #10590798C2semidirect
13. #10590791C2semidirect
14. #10590715C2semidirect
15. #10590691C2semidirect
70. #5116D3semidirect
74. C2×#816D3semidirect
673. C32#3312semidirect
748. C3#78810semidirect
749. C3#80782semidirect

Maximal subgroups

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

subgroupindex
#105948252
#105948032
#105928102
C3×#51162
C2×C3×#8162
#105911852
#105911012
#105909502
#105909042
#105908562
#105908212
#105907982
#105907912
#105907152
#105906912
#807823
#788103