Finite Group Databasebeta

← #11887832

Subgroups — #11887832

Order 1152.

829 conjugacy classes of subgroups.

The subgroup lattice has 769 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10594337C211yesmaximal, characteristic, complemented
2#10594329C211yesmaximal, characteristic
3#10592581C211yesmaximal, characteristic, complemented
4C3×#4888C211yesmaximal, characteristic, complemented
5C3×#4873C211yesmaximal, characteristic, complemented
6#10590966C211yesmaximal, characteristic, complemented
7#10590950C211yesmaximal, characteristic, complemented
8#10590872C211yesmaximal, characteristic, complemented
9#10590721C211yesmaximal, characteristic, complemented
10#10590610C211yesmaximal, characteristic, complemented
11#10590601C211yesmaximal, characteristic, complemented
12#10590543C211yesmaximal, characteristic, complemented
13#10590536C211yesmaximal, characteristic, complemented
14#10590523C211yesmaximal, characteristic, complemented
15#10590518C211yesmaximal, characteristic, complemented
16#81524—31nomaximal
17#79736—31nomaximal
18C2×#3799C2211yescharacteristic
19C2×#3797C2211yescharacteristic
20#64104C2211yescharacteristic
21C4⋊C4×C3⋊D3C2211yescharacteristic
22C2×C3×Dic12C2211yescharacteristic
23C3×#897C2211yescharacteristic
24C3×#892C2211yescharacteristic
25C3×#887C2211yescharacteristic
26C3×#887C2211yescharacteristic
27#63910—21no—
28C4×#626C2211yescharacteristic
29#63895—21no—
30#63894—21no—
31#63874—21no—
32#63871C2211yescharacteristic
33#63869C2211yescharacteristic
34#63867—21no—
35#63864C2211yescharacteristic
36#63859—21no—
37#63856C2211yescharacteristic
38#63853—21no—
39#63852—21no—
40C2×#3718C2211yescharacteristic
41C2×#3717C2211yescharacteristic
42C2×#3710C2211yescharacteristic
43C2×D3×C3⋊C8C2211yescharacteristic
44C32×#107C2211yescharacteristic
45#63648C2211yescharacteristic
46#63647C2211yescharacteristic
47#63636C2211yescharacteristic
48#63634C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×#816C2211yescharacteristic
51C3×C8×Dic3C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#810C2211yescharacteristic
54C3×#810C2211yescharacteristic
55C3×#808C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63566C2211yescharacteristic
58#63566C2211yescharacteristic
59#63565C2211yescharacteristic
60#63564C2211yescharacteristic
61#5633—31no—
62#5581—31no—
63#5576—31no—
64#5529—31no—
65C3×#485—31no—
66C3×C4×Q16—31no—
67#5187—31no—
68#5186—31no—
69#5051—31no—
70#5028—31no—
71#5022—31no—
72#5002—31no—
73#4888D311yescharacteristic, complemented
74#4882—31no—
75#4882—31no—
76#4882—61no—
77#4873D311yescharacteristic, complemented
78#4864—31no—
79#4857—31no—
80#4813—31no—
81#4809—31no—
82#4807—31no—
83#4804—31no—
84D3×#103—31no—
85D3×#103—31no—
86#4800—31no—
87#4798—31no—
88#4733—31no—
89#67⋊C8—31no—
90#4697—31no—
91C8×D12—31no—
92C2×C4⋊(C3⋊D3)—21no—
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×C4×C3⋊D3—21no—
95C2×C4×C3⋊D3C2311yescharacteristic
96C2×C3×C4×D3C2311yescharacteristic
97C2×C3×Dic6C2311yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99C2×C3×Dic6C2311yescharacteristic
100C2×#627—21no—
101C2×#626—21no—
102C2×#626D411yescharacteristic
103C2×#624—21no—
104C2×#624—21no—
105#3799—22no—
106#3799—41no—
107#3797—22no—
108#3797—41no—
109C2×C32×C8C2311yescharacteristic
110C32×C4⋊C4C2311yescharacteristic
111C32×C4⋊C4C2311yescharacteristic
112#3752—21no—
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114#3750—21no—
115C2×C3⋊(C3⋊C8)C2311yescharacteristic
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3C2311yescharacteristic
120C3×Dic3⋊C4—21no—
121C3×Dic3⋊C4—21no—
122C3×C4×Dic3—21no—
123C3×C4×Dic3—21no—
124C3×C4×Dic3—21no—
125C3×C4×Dic3C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C3×Dic12—22no—
129#3724—21no—
130#3724—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3D411yescharacteristic
134#3722—21no—
135#3722—21no—
136#3722—21no—
137#3722D411yescharacteristic
138(C2×D3)⋊Dic3—21no—
139(C2×D3)⋊Dic3D411yescharacteristic
140#3718—41no—
141#3717—41no—
142#3710—41no—
143D3×C3⋊C8—41no—
144#3300—91noSylow
145C2×#239—31no—
146C2×D3×Q8—31no—
147C2×D3×Q8—31no—
148C2×#235—31no—
149C2×C3×Q16—31no—
150C3×C22⋊Q8—31no—
151C3×C4×Q8—31no—
152C3×C4×Q8—31no—
153C3×#117—31no—
154#947—31no—
155#946—31no—
156#946—31no—
157C2×#216—31no—
158C2×#216—31no—
159C2×#215—31no—
160C4×#67—31no—
161#924—31no—
162C22×C3⋊C8—31no—
163C2×Dic12C2×D311yescharacteristic
164C2×#204—31no—
165C2×D3×C8—31no—
166C2×D3×C8—31no—
167C2×D3×C8—31no—
168#897—31no—
169#897—61no—
170#897C2×D311yescharacteristic
171#896—61no—
172#895—31no—
173#895—31no—
174#895—61no—
175#895—61no—
176#894—61no—
177#893—61no—
178#892C2×D311yescharacteristic
179D3×C4⋊C4—31no—
180D3×C4⋊C4—31no—
181D3×C4⋊C4—61no—
182#890—31no—
183#889—61no—
184#887C2×D311yescharacteristic
185#887C2×D311yescharacteristic
186#885—61no—
187#884—61no—
188#883—61no—
189#879—61no—
190#876—61no—
191#875—31no—
192#875—61no—
193C4×D12—31no—
194C4×D12—61no—
195#872—61no—
196#872—61no—
197#870—31no—
198#870—61no—
199C3×#107—21no—
200C3×#107C2×D311yescharacteristic
201C3×#107C2×D311yescharacteristic
202C3×#106—31no—
203C3×#103—31no—
204C3×#103—31no—
205C3×#103—31no—
206C3×#103—31no—
207C3×C22⋊C8—31no—
208C3×C4×C8—31no—
209#835—31no—
210#835—31no—
211#835—31no—
212#821—31no—
213#821—31no—
214#821—31no—
215#821—61no—
216(C2×D3)⋊C8—31no—
217(C2×D3)⋊C8—31no—
218(C2×D3)⋊C8—61no—
219(C2×D3)⋊C8C2×D311yescharacteristic
220#816—31no—
221#816—31no—
222#816C2×D311yescharacteristic
223Dic3⋊C8—31no—
224C8×Dic3C2×D311yescharacteristic
225#810—31no—
226#810C2×D311yescharacteristic
227#810C2×D311yescharacteristic
228#810C2×D311yescharacteristic
229#809—31no—
230#809—31no—
231#809—31no—
232#809—61no—
233#808C2×D311yescharacteristic
234#807—31no—
235#807—31no—
236#807—61no—
237C4⋊(C3⋊C8)—31no—
238C22×C3⋊D3—21no—
239C22×C3⋊D3C2×D411yescharacteristic
240C22×C3×D3C2×D411yescharacteristic
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4C2411yescharacteristic
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3C2×D411yescharacteristic
246C4⋊(C3⋊D3)—21no—
247C4⋊(C3⋊D3)—21no—
248C4⋊(C3⋊D3)—42no—
249C4×C3⋊D3—21no—
250C4×C3⋊D3—21no—
251C4×C3⋊D3—42no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C3×C4×D3—21no—
260C3×C4×D3—21no—
261C3×Dic6—21no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6—21no—
266C3×Dic6#4112yes—
267#627—42no—
268#626—22no—
269#626—42no—
270#624—42no—
271#624—42no—
272C32×C8—21no—
273C3⋊(C3⋊C8)—21no—
274C3×C3⋊C8—21no—
275C3×C3⋊C8—21no—
276#552—91no—
277#548—91no—
278#488—91no—
279#485—31no—
280#480—91no—
281#479—91no—
282#467—91no—
283#465—91no—
284#464—91no—
285#452—91no—
286#451—91no—
287C4×Q16—31no—
288C8×D4—91no—
289#416—91no—
290C2×#103—91no—
291C2×C3×Q8—31no—
292C2×C3×Q8—31no—
293C2×C3×Q8—31no—
294C22×C3×C4—31no—
295C2×#67—31no—
296C2×#67—61no—
297#239—62no—
298#239—121no—
299D3×Q8—62no—
300D3×Q8—62no—
301D3×Q8—121no—
302D3×Q8—121no—
303#235—62no—
304#235—121no—
305C2×D12—31no—
306C2×D12—31no—
307C2×D12—31no—
308C2×D12—61no—
309C2×D12—61no—
310C2×D12—61no—
311C2×D12—61no—
312C2×D12—121no—
313C2×C4×D3—31no—
314C2×C4×D3—31no—
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×C4×D3—61no—
318C2×C4×D3—61no—
319C2×C4×D3—61no—
320C2×C4×D3—61no—
321C2×C4×D3—61no—
322C2×C4×D3—121no—
323C2×C4×D3C22×D311yescharacteristic
324C2×Dic6—61no—
325C2×Dic6—61no—
326C2×Dic6C22×D311yescharacteristic
327C2×Dic6C22×D311yescharacteristic
328C2×Dic6C22×D311yescharacteristic
329C3×Q16—62no—
330C2×C3×C8—21no—
331C2×C3×C8—31no—
332C2×C3×C8—31no—
333C2×C3×C8C22×D311yescharacteristic
334C2×C3×C8C22×D311yescharacteristic
335C3×C4⋊C4—21no—
336C3×C4⋊C4—21no—
337C3×C4⋊C4—31no—
338C3×C4⋊C4—61no—
339C3×C4⋊C4—61no—
340C3×C4⋊C4—61no—
341C3×C4⋊C4C22×D311yescharacteristic
342C3×C4⋊C4C22×D311yescharacteristic
343C3×C4⋊C4C22×D311yescharacteristic
344C3×C4⋊C4C22×D311yescharacteristic
345C3×C22⋊C4—61no—
346C3×C22⋊C4—61no—
347C3×C42—31no—
348C3×C42—61no—
349C3×C42—61no—
350C3×C42—61no—
351#217—31no—
352#217—61no—
353#216—121no—
354#216—121no—
355#215—121no—
356(C2×D3)⋊C4—21no—
357(C2×D3)⋊C4—21no—
358(C2×D3)⋊C4—31no—
359(C2×D3)⋊C4—31no—
360(C2×D3)⋊C4—31no—
361(C2×D3)⋊C4—61no—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—61no—
364(C2×D3)⋊C4—61no—
365(C2×D3)⋊C4—61no—
366(C2×D3)⋊C4—61no—
367(C2×D3)⋊C4—61no—
368(C2×D3)⋊C4—61no—
369(C2×D3)⋊C4—61no—
370(C2×D3)⋊C4—121no—
371C4⋊Dic3—21no—
372C4⋊Dic3—31no—
373C4⋊Dic3—31no—
374C4⋊Dic3—31no—
375C4⋊Dic3—61no—
376C4⋊Dic3—61no—
377C4⋊Dic3—61no—
378C4⋊Dic3C22×D311yescharacteristic
379Dic3⋊C4—21no—
380Dic3⋊C4—21no—
381Dic3⋊C4—31no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—61no—
387Dic3⋊C4—61no—
388Dic3⋊C4—61no—
389Dic3⋊C4—61no—
390Dic3⋊C4—121no—
391C4×Dic3—21no—
392C4×Dic3—21no—
393C4×Dic3—21no—
394C4×Dic3C22×D311yescharacteristic
395C2×C3⋊C8—31no—
396C2×C3⋊C8—31no—
397C2×C3⋊C8—61no—
398C2×C3⋊C8—121no—
399C2×C3⋊C8C22×D311yescharacteristic
400C2×C3⋊C8C22×D311yescharacteristic
401Dic12—22no—
402#204—121no—
403D3×C8—121no—
404D3×C8—121no—
405D3×C8—121no—
406C22×C32C22×D411yescharacteristic
407C2×C3⋊D3—21no—
408C2×C3⋊D3—21no—
409C2×C3⋊D3—41no—
410C2×C3⋊D3—41no—
411C2×C3⋊D3—41no—
412C2×C3⋊D3#13512yes—
413C2×C3×D3—21no—
414C2×C3×D3—21no—
415C2×C3×D3—21no—
416C32×C4—41no—
417C32×C4—41no—
418C32×C4C2×#4111yescharacteristic
419C32×C4H(5,𝔽2)11yescharacteristic
420C3⋊Dic3—21no—
421C3⋊Dic3—41no—
422C3×Dic3—22no—
423C3×Dic3—21no—
424C3×Dic3—21no—
425C3×Dic3—21no—
426C3×Dic3—41no—
427C3×Dic3—41no—
428C3×Dic3—41no—
429C2×#41—91no—
430C22×Q8—91no—
431C2×Q16—31no—
432C2×Q16—91no—
433C2×SD16—91no—
434C22×C8—91no—
435C22×C8—91no—
436#126—181no—
437#125—91no—
438#125—181no—
439#124—91no—
440#124—181no—
441#123—181no—
442C22⋊Q8—31no—
443C22⋊Q8—91no—
444C22⋊Q8—91no—
445C22⋊Q8—181no—
446#121—91no—
447#121—181no—
448C4×Q8—31no—
449C4×Q8—31no—
450C4×D4—91no—
451C4×D4—181no—
452#117—31no—
453#117—181no—
454C2×C4⋊C4—91no—
455#107—91no—
456#107D3211yescharacteristic
457#106—31no—
458C4⋊C8—91no—
459#103—31no—
460#103—31no—
461#103—31no—
462#103—31no—
463#103—91no—
464#103—91no—
465#103—91no—
466#102—91no—
467#102—91no—
468#102—91no—
469C22⋊C8—31no—
470C22⋊C8—91no—
471C4×C8—31no—
472C23×C3—31no—
473C22×D3—31no—
474C22×D3—31no—
475C22×D3—61no—
476C22×D3—61no—
477C22×D3—61no—
478C22×D3—121no—
479C22×D3D3×D411yescharacteristic
480C3×Q8—32no—
481C3×Q8—61no—
482C3×Q8—61no—
483C3×Q8—61no—
484C3×Q8—61no—
485C3×Q8—61no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—31no—
492C2×C3×C4—31no—
493C2×C3×C4—31no—
494C2×C3×C4—41no—
495C2×C3×C4—41no—
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×C4C23×D311yescharacteristic
503C2×C3×C4C23×D311yescharacteristic
504#67—62no—
505#67—122no—
506C2×Dic3—21no—
507C2×Dic3—21no—
508C2×Dic3—21no—
509C2×Dic3—21no—
510C2×Dic3—31no—
511C2×Dic3—31no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—121no—
516C2×Dic3D3×D411yescharacteristic
517C2×Dic3D3×D411yescharacteristic
518C2×Dic3D3×D411yescharacteristic
519D12—62no—
520D12—61no—
521D12—61no—
522D12—61no—
523D12—61no—
524D12—121no—
525D12—121no—
526D12—122no—
527D12—122no—
528D12—122no—
529D12—242no—
530C4×D3—21no—
531C4×D3—21no—
532C4×D3—61no—
533C4×D3—61no—
534C4×D3—61no—
535C4×D3—61no—
536C4×D3—121no—
537C4×D3—121no—
538C4×D3—122no—
539C4×D3—122no—
540C4×D3—122no—
541C4×D3—122no—
542C4×D3—122no—
543C4×D3—122no—
544C4×D3—242no—
545Dic6—21no—
546Dic6—21no—
547Dic6—21no—
548Dic6—21no—
549Dic6—21no—
550Dic6—122no—
551Dic6—122no—
552Dic6#23512yes—
553C3×C8—21no—
554C3×C8—21no—
555C3×C8—41no—
556C3×C8—61no—
557C3×C8—61no—
558C3⋊C8—21no—
559C3⋊C8—21no—
560C3⋊C8—61no—
561C3⋊C8—61no—
562C3⋊C8—121no—
563C2×C32#54611yescharacteristic
564C2×C32C2×#13511yescharacteristic
565C2×C32#57811yescharacteristic
566C3⋊D3—22no—
567C3⋊D3—81no—
568C3×D3—41no—
569#41—182no—
570#41—361no—
571C2×Q8—31no—
572C2×Q8—31no—
573C2×Q8—31no—
574C2×Q8—181no—
575C2×Q8—182no—
576C2×Q8—361no—
577C2×D4—91no—
578C2×D4—91no—
579C2×D4—181no—
580C2×D4—181no—
581C22×C4—31no—
582C22×C4—91no—
583C22×C4—181no—
584C22×C4—181no—
585C22×C4—181no—
586Q16—62no—
587Q16—361no—
588SD16—361no—
589C2×C8—31no—
590C2×C8—31no—
591C2×C8—91no—
592C2×C8—361no—
593C2×C8—361no—
594C2×C8C2×D3211yescharacteristic
595C4⋊C4—31no—
596C4⋊C4—61no—
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⋊C4C2×D3211yescharacteristic
607C4⋊C4C2×D3211yescharacteristic
608C22⋊C4—61no—
609C22⋊C4—61no—
610C22⋊C4—91no—
611C22⋊C4—91no—
612C22⋊C4—181no—
613C22⋊C4—181no—
614C22⋊C4—181no—
615C22⋊C4—181no—
616C22⋊C4—181no—
617C42—31no—
618C42—61no—
619C42—61no—
620C42—61no—
621C22×C3—21no—
622C22×C3—61no—
623C22×C3—61no—
624C22×C3—61no—
625C22×C3C2×D3×D411yescharacteristic
626C22×C3C2×D3×D411yescharacteristic
627C2×D3—21no—
628C2×D3—21no—
629C2×D3—21no—
630C2×D3—32no—
631C2×D3—32no—
632C2×D3—62no—
633C2×D3—61no—
634C2×D3—61no—
635C2×D3—61no—
636C2×D3—61no—
637C2×D3—121no—
638C2×D3—121no—
639C2×D3—121no—
640C2×D3—121no—
641C2×D3—121no—
642C2×D3—121no—
643C2×D3—121no—
644C2×D3—121no—
645C2×D3—241no—
646C2×D3—241no—
647C2×D3—241no—
648C3×C4—21no—
649C3×C4—21no—
650C3×C4—41no—
651C3×C4—41no—
652C3×C4—41no—
653C3×C4—41no—
654C3×C4—62no—
655C3×C4—61no—
656C3×C4—61no—
657C3×C4—61no—
658C3×C4—81no—
659C3×C4—81no—
660C3×C4—121no—
661C3×C4—121no—
662C3×C4—121no—
663C3×C4C2×#23511yescharacteristic
664C3×C4D3×#4111yescharacteristic
665C3×C4#100911yescharacteristic
666C3×C4#100911yescharacteristic
667Dic3—21no—
668Dic3—21no—
669Dic3—21no—
670Dic3—22no—
671Dic3—41no—
672Dic3—41no—
673Dic3—41no—
674Dic3—61no—
675Dic3—61no—
676Dic3—121no—
677Dic3—121no—
678Dic3—121no—
679Dic3—241no—
680C32#330011yescharacteristic, complemented, Sylow
681C23—31no—
682C23—91no—
683C23—181no—
684Q8—32no—
685Q8—61no—
686Q8—61no—
687Q8—61no—
688Q8—61no—
689Q8—61no—
690Q8—362no—
691D4—182no—
692D4—181no—
693D4—181no—
694D4—362no—
695D4—362no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—31no—
699C2×C4—31no—
700C2×C4—31no—
701C2×C4—61no—
702C2×C4—61no—
703C2×C4—61no—
704C2×C4—61no—
705C2×C4—61no—
706C2×C4—61no—
707C2×C4—91no—
708C2×C4—181no—
709C2×C4—181no—
710C2×C4—181no—
711C2×C4—362no—
712C2×C4—362no—
713C2×C4—362no—
714C2×C4C22×D3211yescharacteristic
715C8—21no—
716C8—61no—
717C8—61no—
718C8—181no—
719C2×C3—21no—
720C2×C3—21no—
721C2×C3—21no—
722C2×C3—121no—
723C2×C3#555011yescharacteristic
724C2×C3#565411yescharacteristic
725C2×C3#576611yescharacteristic
726C2×C3D3×#13511yescharacteristic
727C2×C3D3×#13511yescharacteristic
728C2×C3#577911yescharacteristic
729D3—41no—
730D3—62no—
731D3—62no—
732D3—122no—
733D3—241no—
734D3—241no—
735D3—481no—
736C22—61no—
737C22—61no—
738C22—61no—
739C22—92no—
740C22—181no—
741C22—181no—
742C22—361no—
743C22—361no—
744C22—361no—
745C22D32×D411yescharacteristic
746C4—41no—
747C4—41no—
748C4—61no—
749C4—62no—
750C4—61no—
751C4—61no—
752C4—121no—
753C4—121no—
754C4—121no—
755C4—181no—
756C4—361no—
757C4D3×#23511yescharacteristic
758C4#6432011yescharacteristic
759C3—21no—
760C3#7973611yescharacteristic, complemented
761C3#8152411yescharacteristic, complemented
762C2—121no—
763C2—182no—
764C2—721no—
765C2#1059461911yescharacteristic
766C2#1059473011yescharacteristic
767C2#1059476611yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#107C22
socleC22×C32C22×D4
prime radical#10594329C2
hypercenter#107D32
hypocenterC32#3300
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #107

Complements

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

NH ≅ G/Ntype
1. #10594337C2semidirect
3. #10592581C2semidirect
4. C3×#4888C2semidirect
5. C3×#4873C2semidirect
6. #10590966C2semidirect
7. #10590950C2semidirect
8. #10590872C2semidirect
9. #10590721C2semidirect
10. #10590610C2semidirect
11. #10590601C2semidirect
12. #10590543C2semidirect
13. #10590536C2semidirect
14. #10590523C2semidirect
15. #10590518C2semidirect
73. #4888D3semidirect
77. #4873D3semidirect
680. C32#3300semidirect
760. C3#79736semidirect
761. C3#81524semidirect

Maximal subgroups

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

subgroupindex
#105943372
#105943292
#105925812
C3×#48882
C3×#48732
#105909662
#105909502
#105908722
#105907212
#105906102
#105906012
#105905432
#105905362
#105905232
#105905182
#815243
#797363