Finite Group Databasebeta

← #11889411

Subgroups — #11889411

Order 1152.

833 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#10594915C211yesmaximal, characteristic
2#10594853C211yesmaximal, characteristic
3C2×#63643C211yesmaximal, characteristic, complemented
4C3×#5116C211yesmaximal, characteristic, complemented
5C3×#5111C211yesmaximal, characteristic
6#10591190C211yesmaximal, characteristic, complemented
7#10591126C211yesmaximal, characteristic, complemented
8#10590949C211yesmaximal, characteristic, complemented
9#10590948C211yesmaximal, characteristic, complemented
10#10590898C211yesmaximal, characteristic, complemented
11#10590849C211yesmaximal, characteristic, complemented
12#10590814C211yesmaximal, characteristic, complemented
13#10590800C211yesmaximal, characteristic, complemented
14#10590794C211yesmaximal, characteristic, complemented
15#10590708C211yesmaximal, characteristic, complemented
16#80782—31nomaximal
17#79511—31nomaximal
18C22×#634C2211yescharacteristic
19C2×D3×Dic6C2211yescharacteristic
20C22×C32×C8C2211yescharacteristic
21C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
22C3×C4×#67C2211yescharacteristic
23C3×#924C2211yescharacteristic
24C3×#924C2211yescharacteristic
25C2×C3×Dic12C2211yescharacteristic
26C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
27#63982—21no—
28#67⋊Dic3—21no—
29#63962—21no—
30#63957—21no—
31#63896—21no—
32#63869C2211yescharacteristic
33#63866C2211yescharacteristic
34#63861—21no—
35#63857C2211yescharacteristic
36#63856C2211yescharacteristic
37#63845—21no—
38#63844C2211yescharacteristic
39Dic3×Dic6C2211yescharacteristic
40#63841C2211yescharacteristic
41#63840—21no—
42C2×#3719C2211yescharacteristic
43C2×#3719C2211yescharacteristic
44#63643C2211yescharacteristic
45#63643C2211yescharacteristic
46#63643C2211yescharacteristic
47#63643C2211yescharacteristic
48C3×#830C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×#818C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×#816C2211yescharacteristic
53C3×#815C2211yescharacteristic
54C3×Dic3⋊C8C2211yescharacteristic
55#63573C2211yescharacteristic
56#63573C2211yescharacteristic
57#63567C2211yescharacteristic
58#63567C2211yescharacteristic
59#63566C2211yescharacteristic
60#63566C2211yescharacteristic
61#5642—31no—
62#5632—31no—
63#5541—31no—
64D4×Dic6—31no—
65C3×#467—31no—
66C3×#435—31no—
67#5186—31no—
68#5182—31no—
69#5137—31no—
70#5120—31no—
71#5116D311yescharacteristic, complemented
72#5111D311yescharacteristic
73C2×#816—31no—
74C2×#816—31no—
75C2×#816—61no—
76#5050—31no—
77#5043—31no—
78#4888—31no—
79#4877—31no—
80#4849—31no—
81#4829—31no—
82#4816—31no—
83#4802—31no—
84#4797—31no—
85#4789—31no—
86#4739—31no—
87#4739—31no—
88#4723—31no—
89#4721—31no—
90#4716—31no—
91#4703—31no—
92C22×C32×C4C2311yescharacteristic
93C22×C3⋊Dic3—21no—
94C22×C3⋊Dic3—21no—
95C2×#634—22no—
96C2×#634—21no—
97C2×#634—41no—
98C2×#634C2311yescharacteristic
99C2×#634C2311yescharacteristic
100C2×C3×#67D411yescharacteristic
101C2×C3×C4×D3C2311yescharacteristic
102C2×C3×Dic6C2311yescharacteristic
103C2×C3×Dic6C2311yescharacteristic
104C2×#627—21no—
105C2×D3×Dic3—21no—
106D3×Dic6—22no—
107D3×Dic6—41no—
108C2×C32×C8—41no—
109C2×C32×C8C2311yescharacteristic
110C2×C32×C8C2311yescharacteristic
111C4⋊(C3⋊Dic3)—21no—
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114C3×#217—21no—
115C3×#217—21no—
116C3×#217D411yescharacteristic
117C3×(C2×D3)⋊C4D411yescharacteristic
118C3×C4⋊Dic3C2311yescharacteristic
119C3×C4⋊Dic3C2311yescharacteristic
120C3×Dic3⋊C4—21no—
121C3×Dic3⋊C4—21no—
122C3×Dic3⋊C4D411yescharacteristic
123C3×C4×Dic3C2311yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C3×Dic12—41no—
127C3×ΓL(1,𝔽25)—41no—
128#3724—21no—
129#3724—21no—
130#3724—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3—21no—
139Dic32—21no—
140Dic32—21no—
141Dic32—21no—
142#3719—22no—
143#3719—41no—
144#3312—91noSylow
145C2×D3×Q8—31no—
146C22×Dic6—31no—
147C22×Dic6—31no—
148C22×Dic6—31no—
149C22×Dic6—61no—
150C2×C3×Q16—31no—
151C2×C3×M16—31no—
152C22×C3×C8—21no—
153C22×C3×C8C2×D311yescharacteristic
154C22×C3×C8C2×D311yescharacteristic
155C3×C22⋊Q8—31no—
156C3×C22⋊Q8—31no—
157C3×C4×D4—31no—
158#946—31no—
159Q8×Dic3—31no—
160#944—31no—
161C2×#216—31no—
162C2×#216—31no—
163#935—61no—
164D4×Dic3—61no—
165C4×#67C2×D311yescharacteristic
166#926—31no—
167C2×C4⋊Dic3—31no—
168C2×C4⋊Dic3—31no—
169C2×C4⋊Dic3—61no—
170#924—31no—
171#924—31no—
172#924C2×D311yescharacteristic
173#924C2×D311yescharacteristic
174C2×Dic12—31no—
175C2×Dic12—31no—
176C2×Dic12C2×D311yescharacteristic
177C2×ΓL(1,𝔽25)C2×D311yescharacteristic
178#898—61no—
179#897—31no—
180#896—61no—
181#892—31no—
182#890—31no—
183#890—61no—
184#889—61no—
185#888—61no—
186#888—61no—
187#887—31no—
188#886—61no—
189#67⋊C4—61no—
190#879—61no—
191#878—61no—
192#878—61no—
193#878—61no—
194#877—61no—
195#877—61no—
196#870—31no—
197#869—31no—
198C4×Dic6—31no—
199C4×Dic6—31no—
200C3×#107—31no—
201C3×C4⋊C8—31no—
202C3×#103—31no—
203C3×#103—31no—
204C3×C22⋊C8—31no—
205C3×C22⋊C8—31no—
206C3×#97—31no—
207#835—31no—
208#835—31no—
209#830C2×D311yescharacteristic
210(C2×D3)⋊C8C2×D311yescharacteristic
211#818C2×D311yescharacteristic
212#817—31no—
213#817—31no—
214#816—31no—
215#816—31no—
216#816—31no—
217#816—31no—
218#816—31no—
219#816—31no—
220#816—31no—
221#816—31no—
222#816—31no—
223#816—31no—
224#816—31no—
225#816—31no—
226#816—61no—
227#816—61no—
228#816—61no—
229#816—61no—
230#816C2×D311yescharacteristic
231#816C2×D311yescharacteristic
232#815C2×D311yescharacteristic
233Dic3⋊C8C2×D311yescharacteristic
234#810—31no—
235#810—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
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3—21no—
247C2×C3⋊Dic3—21no—
248C2×C3⋊Dic3—42no—
249C2×C3⋊Dic3—42no—
250#634—21no—
251#634—21no—
252#634—21no—
253#634—42no—
254#634#4112yes—
255C3×#67—22no—
256C2×C3×Dic3—21no—
257C2×C3×Dic3—21no—
258C2×C3×Dic3—21no—
259C2×C3×Dic3—21no—
260C2×C3×Dic3C2×D411yescharacteristic
261C2×C3×Dic3C2×D411yescharacteristic
262C2×C3×Dic3C2×D411yescharacteristic
263C3×C4×D3—21no—
264C3×C4×D3—21no—
265C3×Dic6—21no—
266C3×Dic6—21no—
267C3×Dic6—21no—
268C3×Dic6—21no—
269#627—42no—
270D3×Dic3—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—31no—
288#419—91no—
289C2×#103—91no—
290C2×C3×Q8—31no—
291C2×C3×Q8—31no—
292C2×C3×D4—31no—
293C22×C3×C4—21no—
294C22×C3×C4—31no—
295C22×C3×C4C22×D311yescharacteristic
296C22×C3×C4C22×D311yescharacteristic
297C2×#67D1211yescharacteristic
298C22×Dic3—61no—
299C22×Dic3—61no—
300C22×Dic3—61no—
301C22×Dic3—61no—
302C22×Dic3—61no—
303C22×Dic3—121no—
304C22×Dic3—121no—
305D3×Q8—62no—
306D3×Q8—121no—
307C2×C4×D3—61no—
308C2×C4×D3C22×D311yescharacteristic
309C2×Dic6—31no—
310C2×Dic6—31no—
311C2×Dic6—31no—
312C2×Dic6—31no—
313C2×Dic6—61no—
314C2×Dic6—61no—
315C2×Dic6—62no—
316C2×Dic6—62no—
317C2×Dic6—62no—
318C2×Dic6—64no—
319C2×Dic6—61no—
320C2×Dic6—61no—
321C2×Dic6—61no—
322C2×Dic6—61no—
323C2×Dic6—121no—
324C2×Dic6—121no—
325C2×Dic6—121no—
326C2×Dic6—121no—
327C2×Dic6—122no—
328C2×Dic6C22×D311yescharacteristic
329C2×Dic6C22×D311yescharacteristic
330C3×Q16—121no—
331C3×M16—121no—
332C2×C3×C8—21no—
333C2×C3×C8—21no—
334C2×C3×C8—31no—
335C2×C3×C8—31no—
336C2×C3×C8—41no—
337C2×C3×C8—41no—
338C2×C3×C8—42no—
339C2×C3×C8C22×D311yescharacteristic
340C2×C3×C8C22×D311yescharacteristic
341C2×C3×C8C22×D311yescharacteristic
342C2×C3×C8C22×D311yescharacteristic
343C3×C4⋊C4—31no—
344C3×C4⋊C4—31no—
345C3×C4⋊C4—31no—
346C3×C4⋊C4—61no—
347C3×C4⋊C4—61no—
348C3×C22⋊C4—31no—
349C3×C22⋊C4—31no—
350C3×C22⋊C4—61no—
351C3×C22⋊C4—61no—
352C3×C42—31no—
353#217—21no—
354#217—21no—
355#217—61no—
356#217—61no—
357#217—61no—
358#217D1211yescharacteristic
359#216—62no—
360#216—121no—
361(C2×D3)⋊C4—61no—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—61no—
364(C2×D3)⋊C4D1211yescharacteristic
365C4⋊Dic3—31no—
366C4⋊Dic3—31no—
367C4⋊Dic3—31no—
368C4⋊Dic3—31no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3—61no—
374C4⋊Dic3—61no—
375C4⋊Dic3—61no—
376C4⋊Dic3—61no—
377C4⋊Dic3—61no—
378C4⋊Dic3—121no—
379C4⋊Dic3C22×D311yescharacteristic
380C4⋊Dic3C22×D311yescharacteristic
381Dic3⋊C4—21no—
382Dic3⋊C4—21no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—61no—
387Dic3⋊C4—61no—
388Dic3⋊C4—61no—
389Dic3⋊C4—61no—
390Dic3⋊C4—61no—
391Dic3⋊C4—61no—
392Dic3⋊C4—61no—
393Dic3⋊C4—61no—
394Dic3⋊C4D1211yescharacteristic
395C4×Dic3—61no—
396C4×Dic3—61no—
397C4×Dic3—61no—
398C4×Dic3—61no—
399C4×Dic3—61no—
400C4×Dic3—61no—
401C4×Dic3C22×D311yescharacteristic
402C2×C3⋊C8C22×D311yescharacteristic
403C2×C3⋊C8C22×D311yescharacteristic
404Dic12—41no—
405Dic12—62no—
406Dic12—121no—
407ΓL(1,𝔽25)—41no—
408C22×C32—21no—
409C22×C32—21no—
410C22×C32#13712yes—
411C22×C32C22×D411yescharacteristic
412C2×C3×D3—21no—
413C2×C3×D3—21no—
414C2×C3×D3—21no—
415C32×C4—21no—
416C32×C4C2×#4111yescharacteristic
417C32×C4H(5,𝔽2)11yescharacteristic
418C3⋊Dic3—22no—
419C3⋊Dic3—41no—
420C3⋊Dic3—41no—
421C3⋊Dic3—41no—
422C3×Dic3—21no—
423C3×Dic3—21no—
424C3×Dic3—21no—
425C3×Dic3—41no—
426C3×Dic3—41no—
427C3×Dic3—41no—
428C3×Dic3—41no—
429C22×Q8—91no—
430C22×Q8—91no—
431C2×Q16—31no—
432C2×Q16—91no—
433C2×Q16—91no—
434C2×M16—31no—
435C22×C8D3211yescharacteristic
436C4⋊Q8—91no—
437C4⋊Q8—181no—
438#126—181no—
439#125—91no—
440#125—181no—
441#123—181no—
442C22⋊Q8—31no—
443C22⋊Q8—31no—
444C22⋊Q8—91no—
445C22⋊Q8—91no—
446C22⋊Q8—181no—
447C22⋊Q8—181no—
448C4×Q8—91no—
449C4×Q8—91no—
450C4×D4—31no—
451C4×D4—181no—
452#117—91no—
453#117—181no—
454C2×C4⋊C4—91no—
455#107—31no—
456#106—91no—
457#106—91no—
458C4⋊C8—31no—
459#103—31no—
460#103—31no—
461#103—91no—
462#103—91no—
463#103—91no—
464#103—91no—
465#103—91no—
466#103—91no—
467#103—91no—
468#103—91no—
469C22⋊C8—31no—
470C22⋊C8—31no—
471#97—31no—
472C23×C3—21no—
473C23×C3—31no—
474C23×C3C2×D1211yescharacteristic
475C23×C3D3×D411yescharacteristic
476C22×D3C2×D1211yescharacteristic
477C3×Q8—61no—
478C3×Q8—61no—
479C3×Q8—61no—
480C3×Q8—61no—
481C3×D4—62no—
482C2×C3×C4—22no—
483C2×C3×C4—22no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—31no—
491C2×C3×C4—31no—
492C2×C3×C4—31no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—61no—
496C2×C3×C4—61no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4C2×D1211yescharacteristic
500C2×C3×C4D3×D411yescharacteristic
501C2×C3×C4C23×D311yescharacteristic
502C2×C3×C4C23×D311yescharacteristic
503#67—22no—
504C2×Dic3—21no—
505C2×Dic3—21no—
506C2×Dic3—21no—
507C2×Dic3—21no—
508C2×Dic3—61no—
509C2×Dic3—61no—
510C2×Dic3—61no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—121no—
517C2×Dic3—121no—
518C2×Dic3—121no—
519C2×Dic3—121no—
520C2×Dic3—122no—
521C2×Dic3—122no—
522C2×Dic3—122no—
523C2×Dic3—124no—
524C2×Dic3—122no—
525C2×Dic3—122no—
526C2×Dic3—242no—
527C2×Dic3C2×D1211yescharacteristic
528C2×Dic3C2×D1211yescharacteristic
529C2×Dic3C2×D1211yescharacteristic
530C4×D3—21no—
531C4×D3—21no—
532C4×D3—122no—
533Dic6—21no—
534Dic6—21no—
535Dic6—21no—
536Dic6—21no—
537Dic6—32no—
538Dic6—32no—
539Dic6—62no—
540Dic6—61no—
541Dic6—61no—
542Dic6—62no—
543Dic6—61no—
544Dic6—61no—
545Dic6—61no—
546Dic6—61no—
547Dic6—121no—
548Dic6—121no—
549Dic6—122no—
550Dic6—122no—
551Dic6—122no—
552Dic6—122no—
553Dic6—124no—
554C3×C8—21no—
555C3×C8—21no—
556C3×C8—21no—
557C3×C8—21no—
558C3×C8—41no—
559C3×C8—41no—
560C3×C8—61no—
561C3×C8—61no—
562C3⋊C8—21no—
563C3⋊C8—21no—
564C2×C32—22no—
565C2×C32#54611yescharacteristic
566C2×C32C2×#13711yescharacteristic
567C2×C32#57811yescharacteristic
568C3×D3—41no—
569C2×Q8—31no—
570C2×Q8—31no—
571C2×Q8—91no—
572C2×Q8—91no—
573C2×Q8—182no—
574C2×Q8—181no—
575C2×Q8—182no—
576C2×Q8—181no—
577C2×Q8—361no—
578C2×Q8—361no—
579C2×D4—31no—
580C22×C4—31no—
581C22×C4—181no—
582C22×C4—181no—
583C22×C4—181no—
584C22×C4C2×D3211yescharacteristic
585Q16—121no—
586Q16—182no—
587Q16—361no—
588M16—121no—
589C2×C8—31no—
590C2×C8—31no—
591C2×C8—41no—
592C2×C8C2×D3211yescharacteristic
593C2×C8C2×D3211yescharacteristic
594C4⋊C4—31no—
595C4⋊C4—31no—
596C4⋊C4—31no—
597C4⋊C4—61no—
598C4⋊C4—61no—
599C4⋊C4—91no—
600C4⋊C4—91no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4—181no—
605C4⋊C4—181no—
606C4⋊C4—181no—
607C4⋊C4—181no—
608C4⋊C4—181no—
609C4⋊C4—181no—
610C22⋊C4—31no—
611C22⋊C4—31no—
612C22⋊C4—61no—
613C22⋊C4—61no—
614C22⋊C4—181no—
615C22⋊C4—181no—
616C22⋊C4—181no—
617C42—31no—
618C42—181no—
619C42—181no—
620C42—181no—
621C22×C3—22no—
622C22×C3—22no—
623C22×C3—21no—
624C22×C3—21no—
625C22×C3—21no—
626C22×C3—21no—
627C22×C3—21no—
628C22×C3—22no—
629C22×C3—61no—
630C22×C3—61no—
631C22×C3—61no—
632C22×C3#90912yes—
633C22×C3#91812yes—
634C22×C3C22×D1211yescharacteristic
635C22×C3C2×D3×D411yescharacteristic
636C2×D3—21no—
637C2×D3—21no—
638C2×D3—21no—
639C3×C4—22no—
640C3×C4—21no—
641C3×C4—21no—
642C3×C4—21no—
643C3×C4—21no—
644C3×C4—61no—
645C3×C4—61no—
646C3×C4—61no—
647C3×C4—121no—
648C3×C4—121no—
649C3×C4—121no—
650C3×C4—121no—
651C3×C4#100411yescharacteristic
652C3×C4#100411yescharacteristic
653C3×C4D3×#4111yescharacteristic
654C3×C4D3×#4111yescharacteristic
655Dic3—21no—
656Dic3—21no—
657Dic3—21no—
658Dic3—41no—
659Dic3—41no—
660Dic3—41no—
661Dic3—41no—
662Dic3—62no—
663Dic3—62no—
664Dic3—122no—
665Dic3—122no—
666Dic3—121no—
667Dic3—121no—
668Dic3—121no—
669Dic3—121no—
670Dic3—121no—
671Dic3—121no—
672Dic3—241no—
673Dic3—241no—
674C32#331211yescharacteristic, complemented, Sylow
675C23—31no—
676C23D3×D1211yescharacteristic
677Q8—61no—
678Q8—61no—
679Q8—61no—
680Q8—61no—
681Q8—92no—
682Q8—181no—
683Q8—181no—
684Q8—181no—
685Q8—362no—
686Q8—362no—
687D4—62no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—31no—
691C2×C4—31no—
692C2×C4—31no—
693C2×C4—61no—
694C2×C4—61no—
695C2×C4—61no—
696C2×C4—61no—
697C2×C4—61no—
698C2×C4—61no—
699C2×C4—181no—
700C2×C4—181no—
701C2×C4—181no—
702C2×C4—181no—
703C2×C4—362no—
704C2×C4—362no—
705C2×C4—362no—
706C2×C4D3×D1211yescharacteristic
707C2×C4C22×D3211yescharacteristic
708C8—21no—
709C8—21no—
710C8—61no—
711C8—61no—
712C2×C3—24no—
713C2×C3—22no—
714C2×C3—22no—
715C2×C3—21no—
716C2×C3—21no—
717C2×C3—21no—
718C2×C3—121no—
719C2×C3#555411yescharacteristic
720C2×C3#561011yescharacteristic
721C2×C3C2×#90911yescharacteristic
722C2×C3#575311yescharacteristic
723C2×C3C2×#91811yescharacteristic
724C2×C3#577111yescharacteristic
725D3—41no—
726C22—21no—
727C22—21no—
728C22—61no—
729C22—61no—
730C22—61no—
731C22#6380112yes—
732C22C2×D3×D1211yescharacteristic
733C4—21no—
734C4—61no—
735C4—61no—
736C4—61no—
737C4—121no—
738C4—121no—
739C4—121no—
740C4—121no—
741C4—182no—
742C4—361no—
743C4—361no—
744C4—361no—
745C4#6430611yescharacteristic
746C4#6433011yescharacteristic
747C3—21no—
748C3#7951111yescharacteristic, complemented
749C3#8078211yescharacteristic, complemented
750C2—22no—
751C2—121no—
752C2C2×#6380111yescharacteristic
753C2#1059469211yescharacteristic
754C2#1059507511yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC22×C32×C8C22
socleC22×C32C22×D4
prime radicalC2×C3×#67D4
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
3. C2×#63643C2semidirect
4. C3×#5116C2semidirect
6. #10591190C2semidirect
7. #10591126C2semidirect
8. #10590949C2semidirect
9. #10590948C2semidirect
10. #10590898C2semidirect
11. #10590849C2semidirect
12. #10590814C2semidirect
13. #10590800C2semidirect
14. #10590794C2semidirect
15. #10590708C2semidirect
71. #5116D3semidirect
674. C32#3312semidirect
748. C3#79511semidirect
749. C3#80782semidirect

Maximal subgroups

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

subgroupindex
#105949152
#105948532
C2×#636432
C3×#51162
C3×#51112
#105911902
#105911262
#105909492
#105909482
#105908982
#105908492
#105908142
#105908002
#105907942
#105907082
#807823
#795113