Finite Group Databasebeta

← #11888032

Subgroups — #11888032

Order 1152.

839 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10594890C211yesmaximal, characteristic
2#10594809C211yesmaximal, characteristic, complemented
3#10592424C211yesmaximal, characteristic, complemented
4C3×#4733C211yesmaximal, characteristic, complemented
5C3×#4723C211yesmaximal, characteristic, complemented
6#10591188C211yesmaximal, characteristic, complemented
7#10591083C211yesmaximal, characteristic, complemented
8#10590961C211yesmaximal, characteristic, complemented
9#10590956C211yesmaximal, characteristic, complemented
10#10590901C211yesmaximal, characteristic, complemented
11#10590857C211yesmaximal, characteristic, complemented
12#10590798C211yesmaximal, characteristic, complemented
13#10590778C211yesmaximal, characteristic, complemented
14#10590775C211yesmaximal, characteristic, complemented
15#10590713C211yesmaximal, characteristic, complemented
16#81544—31nomaximal
17#80248—31nomaximal
18C2×C3×#235C2211yescharacteristic
19C2×#3796C2211yescharacteristic
20C4×#638C2211yescharacteristic
21C22×C3⋊(C3⋊C8)C2211yescharacteristic
22C2×C8×C3⋊D3C2211yescharacteristic
23C3×#926C2211yescharacteristic
24C3×#924C2211yescharacteristic
25C3×#924C2211yescharacteristic
26C2×C3×Dic12C2211yescharacteristic
27C2×C3×#204C2211yescharacteristic
28#63971—21no—
29#63969—21no—
30#63956—21no—
31#63953—21no—
32#63919C2211yescharacteristic
33#63898C2211yescharacteristic
34D3×Dic3⋊C4—21no—
35#63873C2211yescharacteristic
36#63871C2211yescharacteristic
37#63871C2211yescharacteristic
38#63868—21no—
39#63850—21no—
40#63849C2211yescharacteristic
41#63843C2211yescharacteristic
42#63837—21no—
43C2×#3718C2211yescharacteristic
44C32×C22⋊C8C2211yescharacteristic
45#63647C2211yescharacteristic
46#63641C2211yescharacteristic
47C8×C3⋊Dic3C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×#818C2211yescharacteristic
50C3×#817C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×#816C2211yescharacteristic
53C3×#816C2211yescharacteristic
54#63576C2211yescharacteristic
55#63565C2211yescharacteristic
56#63565C2211yescharacteristic
57#63565C2211yescharacteristic
58#63565C2211yescharacteristic
59#63562C2211yescharacteristic
60#63562C2211yescharacteristic
61#5824—31no—
62#5641—31no—
63#5631—31no—
64#5533—31no—
65C3×#485—31no—
66C3×#452—31no—
67#5233—31no—
68#5188—31no—
69#5182—31no—
70#5173—31no—
71Dic3×SD16—31no—
72#5051—31no—
73#5051—31no—
74#5002—31no—
75#4890—31no—
76#4887—31no—
77#4868—31no—
78#4852—31no—
79#4815—31no—
80#4808—31no—
81#4804—31no—
82#4795—31no—
83#4792—31no—
84#4792—31no—
85#4772—31no—
86#4759—31no—
87#4733D311yescharacteristic, complemented
88#67⋊C8—31no—
89#67⋊C8—31no—
90#67⋊C8—61no—
91#4723D311yescharacteristic, complemented
92C22×C32×C4C2311yescharacteristic
93C2×#638D411yescharacteristic
94C2×C4×C3⋊D3C2311yescharacteristic
95C2×C3×#67—21no—
96C3×#235—22no—
97C3×#235—41no—
98C2×C3×D12C2311yescharacteristic
99C2×C3×C4×D3—21no—
100C2×C3×Dic6C2311yescharacteristic
101C2×C3×Dic6C2311yescharacteristic
102C2×C3×Dic6C2311yescharacteristic
103C2×#627—21no—
104C2×#626—21no—
105C2×D3×Dic3—21no—
106C2×D3×Dic3—21no—
107#3796—22no—
108#3796—41no—
109C2×C32×C8C2311yescharacteristic
110C2×C32×C8C2311yescharacteristic
111#3757D411yescharacteristic
112#3752D411yescharacteristic
113#3750D411yescharacteristic
114C4×C3⋊Dic3C2311yescharacteristic
115C2×C3⋊(C3⋊C8)—41no—
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C2×C3⋊(C3⋊C8)C2311yescharacteristic
118C8×C3⋊D3—41no—
119C3×#217—21no—
120C3×#217—21no—
121C3×#217—21no—
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×C4⋊Dic3C2311yescharacteristic
125C3×C4⋊Dic3C2311yescharacteristic
126C3×Dic3⋊C4—21no—
127C3×Dic3⋊C4—21no—
128C3×C4×Dic3—21no—
129C3×Dic12—41no—
130C3×#204—22no—
131#3724—21no—
132#3724—21no—
133#3724—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3—21no—
136Dic3⋊Dic3—21no—
137#3722—21no—
138#3722—21no—
139#3722—21no—
140(C2×D3)⋊Dic3—21no—
141Dic32—21no—
142Dic32—21no—
143#3718—41no—
144#3302—91noSylow
145C2×C3×#41—31no—
146C2×#239—31no—
147C2×#237—31no—
148C2×#235C2×D311yescharacteristic
149C2×C3×Q16—31no—
150C2×C3×SD16—31no—
151C3×C22⋊Q8—31no—
152C3×C22⋊Q8—31no—
153C3×#117—31no—
154#946—31no—
155#946—31no—
156Q8×Dic3—31no—
157#944—31no—
158#944—31no—
159C2×#216—31no—
160C2×#216—31no—
161#939—61no—
162#935—61no—
163D4×Dic3—31no—
164#929—61no—
165C4×#67—31no—
166C4×#67—31no—
167C4×#67—61no—
168#926C2×D311yescharacteristic
169#924C2×D311yescharacteristic
170#924C2×D311yescharacteristic
171C2×Dic3⋊C4—61no—
172C22×C3⋊C8—31no—
173C22×C3⋊C8—31no—
174C22×C3⋊C8—61no—
175C2×Dic12C2×D311yescharacteristic
176C2×#204C2×D311yescharacteristic
177C2×D3×C8—31no—
178C2×D3×C8—31no—
179C2×D3×C8—61no—
180#898—61no—
181#897—31no—
182#897—31no—
183#894—61no—
184#893—31no—
185#892—31no—
186#892—31no—
187D3×C4⋊C4—61no—
188#888—31no—
189#888—31no—
190#887—31no—
191#887—61no—
192#885—61no—
193#885—61no—
194#884—61no—
195#883—61no—
196#879—61no—
197#879—61no—
198#876—61no—
199C4×Dic6—61no—
200C3×#107—31no—
201C3×#106—31no—
202C3×#103—31no—
203C3×#103—31no—
204C3×#103—31no—
205C3×#102—31no—
206C3×C22⋊C8—21no—
207C3×C22⋊C8C2×D311yescharacteristic
208C3×C22⋊C8C2×D311yescharacteristic
209#835—31no—
210#835—31no—
211#835—31no—
212#835—31no—
213#832—31no—
214#832—31no—
215#821C2×D311yescharacteristic
216(C2×D3)⋊C8—31no—
217(C2×D3)⋊C8—31no—
218(C2×D3)⋊C8—61no—
219#818C2×D311yescharacteristic
220#817C2×D311yescharacteristic
221#816C2×D311yescharacteristic
222#816C2×D311yescharacteristic
223#816C2×D311yescharacteristic
224Dic3⋊C8—31no—
225Dic3⋊C8—31no—
226Dic3⋊C8—61no—
227C8×Dic3—31no—
228C8×Dic3—31no—
229C8×Dic3—61no—
230#810—31no—
231#810—31no—
232#810—31no—
233#810—31no—
234#809—31no—
235#809—31no—
236#807—31no—
237#807—31no—
238C23×C32C2×D411yescharacteristic
239C22×C3⋊D3C2×D411yescharacteristic
240C22×C3×D3—21no—
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4C2×D411yescharacteristic
244C2×C32×C4C2411yescharacteristic
245#638—22no—
246C2×C3⋊Dic3C2×D411yescharacteristic
247C2×C3⋊Dic3C2×D411yescharacteristic
248C2×C3⋊Dic3C2×D411yescharacteristic
249C4×C3⋊D3—21no—
250C4×C3⋊D3—21no—
251C3×#67—42no—
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—21no—
259C3×D12—21no—
260C3×D12#4112yes—
261C3×C4×D3—42no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6—21no—
266C3×Dic6—21no—
267C3×Dic6—21no—
268#627—42no—
269#626—42no—
270D3×Dic3—42no—
271D3×Dic3—42no—
272C32×C8—21no—
273C32×C8—21no—
274C3⋊(C3⋊C8)—21no—
275C3⋊(C3⋊C8)—21no—
276#556—91no—
277#547—91no—
278#487—91no—
279#485—31no—
280#485—91no—
281#474—91no—
282#467—91no—
283#467—91no—
284#462—91no—
285#452—31no—
286#452—91no—
287C4×SD16—91no—
288C8×D4—91no—
289#416—91no—
290#416—91no—
291C3×#41—62no—
292C3×#41—121no—
293C2×C3×Q8—31no—
294C2×C3×Q8—31no—
295C2×C3×Q8—31no—
296C2×C3×D4—31no—
297C2×C3×D4—61no—
298C22×C3×C4—21no—
299C22×C3×C4—61no—
300C22×C3×C4C22×D311yescharacteristic
301C22×C3×C4C22×D311yescharacteristic
302C2×#67—21no—
303C2×#67—31no—
304C2×#67—31no—
305C2×#67—61no—
306C2×#67—61no—
307C22×Dic3—61no—
308C22×Dic3—61no—
309#239—62no—
310#239—121no—
311#237—62no—
312#237—121no—
313#235—22no—
314#235—41no—
315C2×D12—61no—
316C2×D12C22×D311yescharacteristic
317C2×C4×D3—21no—
318C2×C4×D3—31no—
319C2×C4×D3—31no—
320C2×C4×D3—61no—
321C2×C4×D3—61no—
322C2×C4×D3—61no—
323C2×Dic6—61no—
324C2×Dic6—61no—
325C2×Dic6C22×D311yescharacteristic
326C2×Dic6C22×D311yescharacteristic
327C2×Dic6C22×D311yescharacteristic
328C3×Q16—121no—
329C3×SD16—62no—
330C2×C3×C8—21no—
331C2×C3×C8—21no—
332C2×C3×C8C22×D311yescharacteristic
333C2×C3×C8C22×D311yescharacteristic
334C2×C3×C8C22×D311yescharacteristic
335C2×C3×C8C22×D311yescharacteristic
336C3×C4⋊C4—31no—
337C3×C4⋊C4—31no—
338C3×C4⋊C4—31no—
339C3×C4⋊C4—31no—
340C3×C4⋊C4—61no—
341C3×C4⋊C4—61no—
342C3×C22⋊C4—61no—
343C3×C22⋊C4—61no—
344C3×C22⋊C4—61no—
345C3×C42—61no—
346#217—21no—
347#217—21no—
348#217—21no—
349#217—31no—
350#217—31no—
351#217—61no—
352#217—61no—
353#216—121no—
354#216—121no—
355(C2×D3)⋊C4—31no—
356(C2×D3)⋊C4—31no—
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—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—61no—
364(C2×D3)⋊C4—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3C22×D311yescharacteristic
369C4⋊Dic3C22×D311yescharacteristic
370C4⋊Dic3C22×D311yescharacteristic
371C4⋊Dic3C22×D311yescharacteristic
372Dic3⋊C4—21no—
373Dic3⋊C4—21no—
374Dic3⋊C4—31no—
375Dic3⋊C4—31no—
376Dic3⋊C4—61no—
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—
386C4×Dic3—21no—
387C4×Dic3—31no—
388C4×Dic3—31no—
389C4×Dic3—61no—
390C4×Dic3—61no—
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C2×C3⋊C8—31no—
395C2×C3⋊C8—31no—
396C2×C3⋊C8—31no—
397C2×C3⋊C8—31no—
398C2×C3⋊C8—61no—
399C2×C3⋊C8—61no—
400C2×C3⋊C8—121no—
401C2×C3⋊C8—121no—
402C2×C3⋊C8—122no—
403Dic12—41no—
404#204—22no—
405D3×C8—121no—
406D3×C8—121no—
407D3×C8—122no—
408C22×C32—21no—
409C22×C32—21no—
410C22×C32—21no—
411C22×C32C22×D411yescharacteristic
412C2×C3⋊D3—21no—
413C2×C3⋊D3—21no—
414C2×C3⋊D3—21no—
415C2×C3×D3—22no—
416C2×C3×D3—41no—
417C2×C3×D3—41no—
418C32×C4—21no—
419C32×C4C2×#4111yescharacteristic
420C32×C4H(5,𝔽2)11yescharacteristic
421C3⋊Dic3—21no—
422C3⋊Dic3—21no—
423C3⋊Dic3#13512yes—
424C3×Dic3—41no—
425C3×Dic3—41no—
426C3×Dic3—41no—
427C3×Dic3—41no—
428C3×Dic3—41no—
429C3×Dic3—41no—
430C3×Dic3—41no—
431C2×#41—31no—
432C2×#41—91no—
433C2×Q16—31no—
434C2×Q16—91no—
435C2×SD16—31no—
436C22×C8—91no—
437C22×C8—91no—
438C4⋊Q8—91no—
439C4⋊Q8—91no—
440#126—181no—
441#126—181no—
442#124—181no—
443#123—181no—
444#123—181no—
445C22⋊Q8—31no—
446C22⋊Q8—31no—
447C22⋊Q8—91no—
448C22⋊Q8—91no—
449#121—181no—
450C4×Q8—91no—
451C4×Q8—181no—
452C4×D4—91no—
453C4×D4—91no—
454#117—31no—
455#117—91no—
456C2×C4⋊C4—181no—
457#107—31no—
458#107—91no—
459#106—31no—
460C4⋊C8—91no—
461#103—31no—
462#103—31no—
463#103—31no—
464#103—91no—
465#103—91no—
466#103—91no—
467#103—91no—
468#102—31no—
469#102—91no—
470#102—91no—
471C22⋊C8—91no—
472C22⋊C8D3211yescharacteristic
473C4×C8—91no—
474C23×C3—21no—
475C23×C3—61no—
476C23×C3D3×D411yescharacteristic
477C23×C3D3×D411yescharacteristic
478C22×D3—21no—
479C22×D3—31no—
480C22×D3—31no—
481C22×D3—61no—
482C3×Q8—61no—
483C3×Q8—61no—
484C3×Q8—61no—
485C3×Q8—61no—
486C3×Q8—61no—
487C3×Q8—61no—
488C3×D4—32no—
489C3×D4—61no—
490C3×D4—122no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—21no—
494C2×C3×C4—21no—
495C2×C3×C4—21no—
496C2×C3×C4—21no—
497C2×C3×C4—41no—
498C2×C3×C4—41no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—61no—
502C2×C3×C4—61no—
503C2×C3×C4—61no—
504C2×C3×C4—61no—
505C2×C3×C4—61no—
506C2×C3×C4—122no—
507C2×C3×C4D3×D411yescharacteristic
508C2×C3×C4D3×D411yescharacteristic
509C2×C3×C4C23×D311yescharacteristic
510C2×C3×C4C23×D311yescharacteristic
511#67—42no—
512#67—62no—
513#67—62no—
514#67—64no—
515#67—122no—
516C2×Dic3—21no—
517C2×Dic3—21no—
518C2×Dic3—21no—
519C2×Dic3—21no—
520C2×Dic3—21no—
521C2×Dic3—21no—
522C2×Dic3—21no—
523C2×Dic3—31no—
524C2×Dic3—31no—
525C2×Dic3—31no—
526C2×Dic3—31no—
527C2×Dic3—31no—
528C2×Dic3—31no—
529C2×Dic3—61no—
530C2×Dic3—61no—
531C2×Dic3—61no—
532C2×Dic3—122no—
533C2×Dic3—122no—
534D12—21no—
535D12—122no—
536D12#23712yes—
537C4×D3—42no—
538C4×D3—61no—
539C4×D3—61no—
540C4×D3—61no—
541C4×D3—61no—
542C4×D3—121no—
543C4×D3—121no—
544C4×D3—122no—
545C4×D3—122no—
546Dic6—21no—
547Dic6—21no—
548Dic6—21no—
549Dic6—21no—
550Dic6—21no—
551Dic6—21no—
552Dic6—122no—
553Dic6—122no—
554C3×C8—21no—
555C3×C8—21no—
556C3×C8—21no—
557C3×C8—21no—
558C3×C8—41no—
559C3×C8—41no—
560C3⋊C8—62no—
561C3⋊C8—61no—
562C3⋊C8—61no—
563C3⋊C8—61no—
564C3⋊C8—61no—
565C3⋊C8—121no—
566C2×C32—41no—
567C2×C32#54611yescharacteristic
568C2×C32C2×#13511yescharacteristic
569C2×C32#57811yescharacteristic
570C3⋊D3—41no—
571C3×D3—42no—
572#41—62no—
573#41—121no—
574#41—182no—
575#41—361no—
576C2×Q8—31no—
577C2×Q8—31no—
578C2×Q8—31no—
579C2×Q8—181no—
580C2×D4—31no—
581C2×D4—61no—
582C2×D4—91no—
583C2×D4—181no—
584C22×C4—61no—
585C22×C4—91no—
586C22×C4—181no—
587C22×C4—181no—
588C22×C4C2×D3211yescharacteristic
589Q16—121no—
590Q16—361no—
591SD16—62no—
592C2×C8—91no—
593C2×C8—91no—
594C2×C8—361no—
595C2×C8—361no—
596C2×C8C2×D3211yescharacteristic
597C2×C8C2×D3211yescharacteristic
598C4⋊C4—31no—
599C4⋊C4—31no—
600C4⋊C4—31no—
601C4⋊C4—31no—
602C4⋊C4—61no—
603C4⋊C4—61no—
604C4⋊C4—91no—
605C4⋊C4—181no—
606C4⋊C4—181no—
607C4⋊C4—181no—
608C4⋊C4—181no—
609C4⋊C4—181no—
610C4⋊C4—181no—
611C22⋊C4—61no—
612C22⋊C4—61no—
613C22⋊C4—61no—
614C22⋊C4—91no—
615C22⋊C4—91no—
616C22⋊C4—181no—
617C22⋊C4—181no—
618C22⋊C4—181no—
619C22⋊C4—181no—
620C42—61no—
621C42—91no—
622C42—181no—
623C42—181no—
624C22×C3—22no—
625C22×C3—21no—
626C22×C3—21no—
627C22×C3—21no—
628C22×C3—21no—
629C22×C3—21no—
630C22×C3—21no—
631C22×C3—21no—
632C22×C3—41no—
633C22×C3—41no—
634C22×C3—62no—
635C22×C3—121no—
636C22×C3—121no—
637C22×C3C2×D3×D411yescharacteristic
638C22×C3C2×D3×D411yescharacteristic
639C2×D3—22no—
640C2×D3—41no—
641C2×D3—41no—
642C2×D3—62no—
643C2×D3—61no—
644C2×D3—61no—
645C2×D3—61no—
646C2×D3—61no—
647C2×D3—61no—
648C2×D3—61no—
649C2×D3—121no—
650C2×D3—121no—
651C3×C4—21no—
652C3×C4—21no—
653C3×C4—21no—
654C3×C4—21no—
655C3×C4—41no—
656C3×C4—121no—
657C3×C4—121no—
658C3×C4—121no—
659C3×C4—121no—
660C3×C4—121no—
661C3×C4—121no—
662C3×C4—121no—
663C3×C4C2×#23711yescharacteristic
664C3×C4#100411yescharacteristic
665C3×C4D3×#4111yescharacteristic
666C3×C4#100911yescharacteristic
667Dic3—32no—
668Dic3—32no—
669Dic3—41no—
670Dic3—41no—
671Dic3—41no—
672Dic3—41no—
673Dic3—41no—
674Dic3—41no—
675Dic3—41no—
676Dic3—62no—
677Dic3—61no—
678Dic3—61no—
679Dic3—61no—
680Dic3—61no—
681Dic3—121no—
682Dic3—121no—
683C32#330211yescharacteristic, complemented, Sylow
684C23—61no—
685C23—91no—
686C23#380211yescharacteristic
687Q8—61no—
688Q8—61no—
689Q8—61no—
690Q8—61no—
691Q8—61no—
692Q8—61no—
693Q8—362no—
694D4—32no—
695D4—61no—
696D4—122no—
697D4—182no—
698D4—362no—
699C2×C4—21no—
700C2×C4—21no—
701C2×C4—61no—
702C2×C4—61no—
703C2×C4—61no—
704C2×C4—61no—
705C2×C4—61no—
706C2×C4—61no—
707C2×C4—61no—
708C2×C4—91no—
709C2×C4—91no—
710C2×C4—91no—
711C2×C4—122no—
712C2×C4—181no—
713C2×C4—181no—
714C2×C4—362no—
715C2×C4—362no—
716C2×C4#380211yescharacteristic
717C2×C4C22×D3211yescharacteristic
718C8—21no—
719C8—21no—
720C8—181no—
721C8—181no—
722C2×C3—21no—
723C2×C3—21no—
724C2×C3—21no—
725C2×C3—42no—
726C2×C3—41no—
727C2×C3—41no—
728C2×C3—122no—
729C2×C3#559111yescharacteristic
730C2×C3#565411yescharacteristic
731C2×C3D3×#13511yescharacteristic
732C2×C3D3×#13511yescharacteristic
733C2×C3#577911yescharacteristic
734C2×C3#577911yescharacteristic
735D3—42no—
736D3—122no—
737D3—121no—
738D3—121no—
739C22—21no—
740C22—21no—
741C22—21no—
742C22—62no—
743C22—121no—
744C22—121no—
745C22—181no—
746C22—181no—
747C22—181no—
748C22C2×#380211yescharacteristic
749C4—21no—
750C4—92no—
751C4—121no—
752C4—121no—
753C4—121no—
754C4—121no—
755C4—121no—
756C4—121no—
757C4—121no—
758C4—181no—
759C4—181no—
760C4D3×#23711yescharacteristic
761C4#6431411yescharacteristic
762C3—21no—
763C3#8024811yescharacteristic, complemented
764C3#8154411yescharacteristic, complemented
765C2—41no—
766C2—122no—
767C2—361no—
768C2#1059429411yescharacteristic
769C2#1059468411yescharacteristic
770C2#1059472311yescharacteristic
subgroupG/H
centerC22C2×#3802
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C22⋊C8C22
socleC22×C32C22×D4
prime radical#10594890C2
hypercenterC22⋊C8D32
hypocenterC32#3302
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
2. #10594809C2semidirect
3. #10592424C2semidirect
4. C3×#4733C2semidirect
5. C3×#4723C2semidirect
6. #10591188C2semidirect
7. #10591083C2semidirect
8. #10590961C2semidirect
9. #10590956C2semidirect
10. #10590901C2semidirect
11. #10590857C2semidirect
12. #10590798C2semidirect
13. #10590778C2semidirect
14. #10590775C2semidirect
15. #10590713C2semidirect
87. #4733D3semidirect
91. #4723D3semidirect
683. C32#3302semidirect
763. C3#80248semidirect
764. C3#81544semidirect

Maximal subgroups

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

subgroupindex
#105948902
#105948092
#105924242
C3×#47332
C3×#47232
#105911882
#105910832
#105909612
#105909562
#105909012
#105908572
#105907982
#105907782
#105907752
#105907132
#815443
#802483