Finite Group Databasebeta

← #11889418

Subgroups — #11889418

Order 1152.

804 conjugacy classes of subgroups.

The subgroup lattice has 749 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Dic6×#67C211yesmaximal, characteristic
2#10594853C211yesmaximal, characteristic
3#10592420C211yesmaximal, characteristic, complemented
4C3×#4739C211yesmaximal, characteristic, complemented
5C3×#4730C211yesmaximal, characteristic
6#10591187C211yesmaximal, characteristic, complemented
7C2×#63566C211yesmaximal, characteristic, complemented
8#10590949C211yesmaximal, characteristic, complemented
9#10590948C211yesmaximal, characteristic, complemented
10#10590898C211yesmaximal, characteristic, complemented
11#10590854C211yesmaximal, characteristic, complemented
12#10590815C211yesmaximal, characteristic, complemented
13#10590812C211yesmaximal, characteristic, complemented
14#10590800C211yesmaximal, characteristic, complemented
15#10590711C211yesmaximal, characteristic, complemented
16#80195—31nomaximal
17#79511—31nomaximal
18C22×C3×Dic6C2211yescharacteristic
19C2×D3×Dic6C2211yescharacteristic
20C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
21#64133C2211yescharacteristic
22C3×C4×#67C2211yescharacteristic
23C3×#924C2211yescharacteristic
24C22×C3×C3⋊C8C2211yescharacteristic
25C2×C3×Dic12C2211yescharacteristic
26C2×C3×Dic12C2211yescharacteristic
27C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
28Dic3×#67—21no—
29#63964—21no—
30#63962—21no—
31#63957—21no—
32#63887—21no—
33#63869C2211yescharacteristic
34#63866C2211yescharacteristic
35#63861—21no—
36#63856C2211yescharacteristic
37#63856C2211yescharacteristic
38#63845—21no—
39Dic3×Dic6C2211yescharacteristic
40Dic3×Dic6C2211yescharacteristic
41#63841C2211yescharacteristic
42#63839—21no—
43C2×#3719C2211yescharacteristic
44C32×C22⋊C8C2211yescharacteristic
45#63644C2211yescharacteristic
46#63644C2211yescharacteristic
47#63643C2211yescharacteristic
48#63643C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×#816C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×#815C2211yescharacteristic
53C3×Dic3⋊C8C2211yescharacteristic
54#63575C2211yescharacteristic
55#63567C2211yescharacteristic
56#63566C2211yescharacteristic
57#63566C2211yescharacteristic
58#63566C2211yescharacteristic
59#63566C2211yescharacteristic
60#63566C2211yescharacteristic
61Q8×#67—31no—
62#5642—31no—
63#5541—31no—
64D4×Dic6—31no—
65C3×#451—31no—
66C3×#435—31no—
67C2×#835—31no—
68#5189—31no—
69#5186—31no—
70#5184—31no—
71#5182—31no—
72#5137—31no—
73#5120—31no—
74#5116—31no—
75C2×#816—31no—
76#5051—31no—
77#4849—31no—
78#4829—31no—
79#4815—31no—
80#4802—31no—
81#4799—31no—
82#4797—31no—
83#4739—31no—
84#4739D311yescharacteristic, complemented
85#4730D311yescharacteristic
86#4723—31no—
87#4721—31no—
88#4721—31no—
89#4721—61no—
90#4716—31no—
91#4703—31no—
92C22×C32×C4C2311yescharacteristic
93C22×C3⋊Dic3—21no—
94C2×#634C2311yescharacteristic
95C2×C3×#67D411yescharacteristic
96C22×C3×Dic3—21no—
97C2×C3×C4×D3C2311yescharacteristic
98C2×C3×Dic6—22no—
99C2×C3×Dic6—21no—
100C2×C3×Dic6—41no—
101C2×C3×Dic6C2311yescharacteristic
102C2×C3×Dic6C2311yescharacteristic
103C2×C3×Dic6C2311yescharacteristic
104C2×#627—21no—
105C2×D3×Dic3—21no—
106D3×Dic6—22no—
107D3×Dic6—41no—
108C2×C32×C8C2311yescharacteristic
109C2×C32×C8C2311yescharacteristic
110#3757—21no—
111C4⋊(C3⋊Dic3)—21no—
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115#3750—21no—
116C3×#217—21no—
117C3×#217D411yescharacteristic
118C3×(C2×D3)⋊C4D411yescharacteristic
119C3×C4⋊Dic3C2311yescharacteristic
120C3×Dic3⋊C4—21no—
121C3×Dic3⋊C4D411yescharacteristic
122C3×C4×Dic3C2311yescharacteristic
123C2×C3×C3⋊C8—41no—
124C2×C3×C3⋊C8C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C3×Dic12—22no—
127C3×Dic12—41no—
128C3×ΓL(1,𝔽25)—41no—
129#3724—21no—
130#3724—21no—
131#3724—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3—21no—
136Dic3⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3—21no—
139(C2×D3)⋊Dic3—21no—
140Dic32—21no—
141Dic32—21no—
142Dic32—21no—
143#3719—41no—
144#3312—91noSylow
145C22×C3×Q8—31no—
146C2×D3×Q8—31no—
147C22×Dic6—31no—
148C22×Dic6C2×D311yescharacteristic
149C2×C3×Q16—31no—
150C2×C3×Q16—31no—
151C2×C3×M16—31no—
152C22×C3×C8—31no—
153C3×C22⋊Q8—31no—
154C3×C4×D4—31no—
155#946—31no—
156#946—31no—
157#946—61no—
158Q8×Dic3—31no—
159Q8×Dic3—31no—
160#944—31no—
161#944—61no—
162C2×#216—31no—
163#935—61no—
164D4×Dic3—61no—
165C4×#67—61no—
166C4×#67C2×D311yescharacteristic
167#926—31no—
168C2×C4⋊Dic3—31no—
169C2×C4⋊Dic3—31no—
170C2×C4⋊Dic3—61no—
171#924—31no—
172#924—31no—
173#924—31no—
174#924—31no—
175#924—61no—
176#924—61no—
177#924C2×D311yescharacteristic
178C22×C3⋊C8C2×D311yescharacteristic
179C2×Dic12—31no—
180C2×Dic12C2×D311yescharacteristic
181C2×Dic12C2×D311yescharacteristic
182C2×ΓL(1,𝔽25)C2×D311yescharacteristic
183#898—61no—
184#892—31no—
185#890—31no—
186#890—61no—
187#889—61no—
188#888—61no—
189#886—61no—
190#879—61no—
191#878—61no—
192#878—61no—
193#877—61no—
194#877—61no—
195#870—31no—
196#869—31no—
197C4×Dic6—31no—
198C4×Dic6—31no—
199C3×C4⋊C8—31no—
200C3×#103—31no—
201C3×#103—31no—
202C3×C22⋊C8—21no—
203C3×C22⋊C8—31no—
204C3×C22⋊C8C2×D311yescharacteristic
205C3×C22⋊C8C2×D311yescharacteristic
206C3×#97—31no—
207#835—31no—
208#835—31no—
209#835—31no—
210#835—31no—
211#835—31no—
212(C2×D3)⋊C8C2×D311yescharacteristic
213#818—31no—
214#817—31no—
215#817—31no—
216#817—31no—
217#817—31no—
218#817—61no—
219#817—61no—
220#816—31no—
221#816—31no—
222#816—31no—
223#816—31no—
224#816—31no—
225#816—31no—
226#816—31no—
227#816—31no—
228#816—31no—
229#816—31no—
230#816—61no—
231#816—61no—
232#816C2×D311yescharacteristic
233#816C2×D311yescharacteristic
234#815C2×D311yescharacteristic
235Dic3⋊C8C2×D311yescharacteristic
236#810—31no—
237#807—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—
249#634—21no—
250#634—21no—
251C3×#67—22no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3—42no—
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C2×C3×Dic3C2×D411yescharacteristic
260C3×C4×D3—21no—
261C3×C4×D3—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—
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—91no—
283#462—91no—
284#451—31no—
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×Q8—31no—
293C2×C3×Q8—62no—
294C2×C3×Q8—61no—
295C2×C3×Q8—121no—
296C2×C3×D4—31no—
297C22×C3×C4—21no—
298C22×C3×C4—31no—
299C22×C3×C4—61no—
300C22×C3×C4C22×D311yescharacteristic
301C22×C3×C4C22×D311yescharacteristic
302C2×#67D1211yescharacteristic
303C22×Dic3—21no—
304C22×Dic3—61no—
305C22×Dic3—61no—
306C22×Dic3—61no—
307C22×Dic3—121no—
308D3×Q8—62no—
309D3×Q8—121no—
310C2×C4×D3—61no—
311C2×C4×D3C22×D311yescharacteristic
312C2×Dic6—22no—
313C2×Dic6—21no—
314C2×Dic6—31no—
315C2×Dic6—31no—
316C2×Dic6—41no—
317C2×Dic6—61no—
318C2×Dic6—62no—
319C2×Dic6—61no—
320C2×Dic6—61no—
321C2×Dic6—121no—
322C2×Dic6C22×D311yescharacteristic
323C2×Dic6C22×D311yescharacteristic
324C2×Dic6C22×D311yescharacteristic
325C3×Q16—62no—
326C3×Q16—121no—
327C3×M16—121no—
328C2×C3×C8—21no—
329C2×C3×C8—21no—
330C2×C3×C8—31no—
331C2×C3×C8—31no—
332C2×C3×C8—121no—
333C2×C3×C8C22×D311yescharacteristic
334C2×C3×C8C22×D311yescharacteristic
335C2×C3×C8C22×D311yescharacteristic
336C2×C3×C8C22×D311yescharacteristic
337C3×C4⋊C4—31no—
338C3×C4⋊C4—31no—
339C3×C4⋊C4—61no—
340C3×C22⋊C4—31no—
341C3×C22⋊C4—31no—
342C3×C22⋊C4—61no—
343C3×C42—31no—
344#217—21no—
345#217—61no—
346#217—61no—
347#217—61no—
348#217—61no—
349#217—61no—
350#217—121no—
351#217D1211yescharacteristic
352#216—121no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4D1211yescharacteristic
357C4⋊Dic3—31no—
358C4⋊Dic3—31no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3—121no—
374C4⋊Dic3C22×D311yescharacteristic
375Dic3⋊C4—21no—
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—
386Dic3⋊C4—61no—
387Dic3⋊C4—61no—
388Dic3⋊C4—61no—
389Dic3⋊C4—121no—
390Dic3⋊C4D1211yescharacteristic
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—61no—
395C4×Dic3—61no—
396C4×Dic3—61no—
397C4×Dic3C22×D311yescharacteristic
398C2×C3⋊C8—41no—
399C2×C3⋊C8C22×D311yescharacteristic
400C2×C3⋊C8C22×D311yescharacteristic
401Dic12—22no—
402Dic12—41no—
403Dic12—121no—
404ΓL(1,𝔽25)—41no—
405C22×C32—21no—
406C22×C32—21no—
407C22×C32#13712yes—
408C22×C32C22×D411yescharacteristic
409C2×C3×D3—21no—
410C2×C3×D3—21no—
411C2×C3×D3—21no—
412C32×C4—21no—
413C32×C4C2×#4111yescharacteristic
414C32×C4H(5,𝔽2)11yescharacteristic
415C3⋊Dic3—41no—
416C3⋊Dic3—41no—
417C3⋊Dic3—41no—
418C3⋊Dic3—41no—
419C3×Dic3—22no—
420C3×Dic3—21no—
421C3×Dic3—21no—
422C3×Dic3—21no—
423C3×Dic3—41no—
424C3×Dic3—41no—
425C3×Dic3—41no—
426C22×Q8—31no—
427C22×Q8—91no—
428C2×Q16—31no—
429C2×Q16—31no—
430C2×Q16—91no—
431C2×M16—31no—
432C22×C8—31no—
433C4⋊Q8—91no—
434C4⋊Q8—181no—
435#126—181no—
436#125—91no—
437#125—181no—
438#123—181no—
439C22⋊Q8—31no—
440C22⋊Q8—91no—
441C22⋊Q8—91no—
442C22⋊Q8—91no—
443C22⋊Q8—181no—
444C22⋊Q8—181no—
445C4×Q8—91no—
446C4×Q8—91no—
447C4×D4—31no—
448C4×D4—181no—
449#117—91no—
450#117—181no—
451C2×C4⋊C4—91no—
452#107—91no—
453#106—91no—
454#106—91no—
455C4⋊C8—31no—
456#103—31no—
457#103—31no—
458#103—91no—
459#103—91no—
460#103—91no—
461#103—91no—
462#103—91no—
463#103—91no—
464#103—91no—
465#103—91no—
466C22⋊C8—31no—
467C22⋊C8D3211yescharacteristic
468#97—31no—
469C23×C3—21no—
470C23×C3—31no—
471C23×C3C2×D1211yescharacteristic
472C23×C3D3×D411yescharacteristic
473C22×D3C2×D1211yescharacteristic
474C3×Q8—32no—
475C3×Q8—61no—
476C3×Q8—61no—
477C3×Q8—61no—
478C3×Q8—61no—
479C3×Q8—61no—
480C3×Q8—122no—
481C3×D4—62no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—31no—
489C2×C3×C4—31no—
490C2×C3×C4—31no—
491C2×C3×C4—41no—
492C2×C3×C4—41no—
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×C4—122no—
500C2×C3×C4C2×D1211yescharacteristic
501C2×C3×C4D3×D411yescharacteristic
502C2×C3×C4C23×D311yescharacteristic
503C2×C3×C4C23×D311yescharacteristic
504#67—22no—
505C2×Dic3—21no—
506C2×Dic3—21no—
507C2×Dic3—21no—
508C2×Dic3—21no—
509C2×Dic3—42no—
510C2×Dic3—61no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—121no—
519C2×Dic3—121no—
520C2×Dic3—121no—
521C2×Dic3—121no—
522C2×Dic3—122no—
523C2×Dic3—122no—
524C2×Dic3—122no—
525C2×Dic3—242no—
526C2×Dic3C2×D1211yescharacteristic
527C2×Dic3C2×D1211yescharacteristic
528C2×Dic3C2×D1211yescharacteristic
529C4×D3—21no—
530C4×D3—21no—
531C4×D3—122no—
532Dic6—21no—
533Dic6—21no—
534Dic6—21no—
535Dic6—21no—
536Dic6—21no—
537Dic6—42no—
538Dic6—61no—
539Dic6—61no—
540Dic6—61no—
541Dic6—61no—
542Dic6—121no—
543Dic6—121no—
544Dic6—122no—
545Dic6—122no—
546Dic6#23712yes—
547C3×C8—21no—
548C3×C8—21no—
549C3×C8—21no—
550C3×C8—21no—
551C3×C8—41no—
552C3×C8—41no—
553C3×C8—61no—
554C3×C8—61no—
555C3⋊C8—21no—
556C3⋊C8—21no—
557C2×C32—22no—
558C2×C32#54611yescharacteristic
559C2×C32C2×#13711yescharacteristic
560C2×C32#57811yescharacteristic
561C3×D3—41no—
562C2×Q8—31no—
563C2×Q8—31no—
564C2×Q8—31no—
565C2×Q8—62no—
566C2×Q8—61no—
567C2×Q8—91no—
568C2×Q8—121no—
569C2×Q8—181no—
570C2×Q8—182no—
571C2×Q8—361no—
572C2×D4—31no—
573C22×C4—31no—
574C22×C4—61no—
575C22×C4—181no—
576C22×C4—181no—
577C22×C4C2×D3211yescharacteristic
578Q16—62no—
579Q16—121no—
580Q16—361no—
581M16—121no—
582C2×C8—31no—
583C2×C8—31no—
584C2×C8—121no—
585C2×C8C2×D3211yescharacteristic
586C2×C8C2×D3211yescharacteristic
587C4⋊C4—31no—
588C4⋊C4—31no—
589C4⋊C4—61no—
590C4⋊C4—91no—
591C4⋊C4—91no—
592C4⋊C4—91no—
593C4⋊C4—181no—
594C4⋊C4—181no—
595C4⋊C4—181no—
596C4⋊C4—181no—
597C4⋊C4—181no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C22⋊C4—31no—
604C22⋊C4—31no—
605C22⋊C4—61no—
606C22⋊C4—181no—
607C22⋊C4—181no—
608C22⋊C4—181no—
609C22⋊C4—181no—
610C42—31no—
611C42—181no—
612C42—181no—
613C42—181no—
614C22×C3—21no—
615C22×C3—21no—
616C22×C3—21no—
617C22×C3—21no—
618C22×C3—21no—
619C22×C3—22no—
620C22×C3—41no—
621C22×C3—41no—
622C22×C3—61no—
623C22×C3—61no—
624C22×C3—61no—
625C22×C3#90912yes—
626C22×C3#91812yes—
627C22×C3C22×D1211yescharacteristic
628C22×C3C2×D3×D411yescharacteristic
629C2×D3—21no—
630C2×D3—21no—
631C2×D3—21no—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—41no—
637C3×C4—61no—
638C3×C4—61no—
639C3×C4—62no—
640C3×C4—61no—
641C3×C4—121no—
642C3×C4—121no—
643C3×C4—121no—
644C3×C4C2×#23711yescharacteristic
645C3×C4#100411yescharacteristic
646C3×C4#100411yescharacteristic
647C3×C4D3×#4111yescharacteristic
648Dic3—21no—
649Dic3—21no—
650Dic3—21no—
651Dic3—22no—
652Dic3—41no—
653Dic3—41no—
654Dic3—41no—
655Dic3—121no—
656Dic3—121no—
657Dic3—121no—
658Dic3—121no—
659Dic3—121no—
660Dic3—121no—
661Dic3—121no—
662Dic3—121no—
663Dic3—241no—
664Dic3—241no—
665Dic3—241no—
666Dic3—241no—
667C32#331211yescharacteristic, complemented, Sylow
668C23—31no—
669C23D3×D1211yescharacteristic
670Q8—32no—
671Q8—61no—
672Q8—61no—
673Q8—61no—
674Q8—61no—
675Q8—61no—
676Q8—122no—
677Q8—181no—
678Q8—181no—
679Q8—362no—
680D4—62no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—31no—
684C2×C4—31no—
685C2×C4—31no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—122no—
693C2×C4—181no—
694C2×C4—181no—
695C2×C4—181no—
696C2×C4—181no—
697C2×C4—362no—
698C2×C4—362no—
699C2×C4D3×D1211yescharacteristic
700C2×C4C22×D3211yescharacteristic
701C8—21no—
702C8—21no—
703C8—61no—
704C8—61no—
705C2×C3—22no—
706C2×C3—22no—
707C2×C3—21no—
708C2×C3—21no—
709C2×C3—21no—
710C2×C3—42no—
711C2×C3—121no—
712C2×C3#555411yescharacteristic
713C2×C3#559111yescharacteristic
714C2×C3C2×#90911yescharacteristic
715C2×C3#575311yescharacteristic
716C2×C3C2×#91811yescharacteristic
717C2×C3#577911yescharacteristic
718D3—41no—
719C22—21no—
720C22—21no—
721C22—61no—
722C22—61no—
723C22—61no—
724C22#6380112yes—
725C22C2×D3×D1211yescharacteristic
726C4—21no—
727C4—61no—
728C4—61no—
729C4—61no—
730C4—62no—
731C4—121no—
732C4—121no—
733C4—121no—
734C4—361no—
735C4—361no—
736C4—361no—
737C4—361no—
738C4D3×#23711yescharacteristic
739C4#6431311yescharacteristic
740C3—21no—
741C3#7951111yescharacteristic, complemented
742C3#8019511yescharacteristic, complemented
743C2—22no—
744C2—121no—
745C2#1059429211yescharacteristic
746C2C2×#6380111yescharacteristic
747C2#1059472111yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C22⋊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. #10592420C2semidirect
4. C3×#4739C2semidirect
6. #10591187C2semidirect
7. C2×#63566C2semidirect
8. #10590949C2semidirect
9. #10590948C2semidirect
10. #10590898C2semidirect
11. #10590854C2semidirect
12. #10590815C2semidirect
13. #10590812C2semidirect
14. #10590800C2semidirect
15. #10590711C2semidirect
84. #4739D3semidirect
667. C32#3312semidirect
741. C3#79511semidirect
742. C3#80195semidirect

Maximal subgroups

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

subgroupindex
Dic6×#672
#105948532
#105924202
C3×#47392
C3×#47302
#105911872
C2×#635662
#105909492
#105909482
#105908982
#105908542
#105908152
#105908122
#105908002
#105907112
#801953
#795113