Finite Group Databasebeta

← #11876932

Subgroups — #11876932

Order 1152.

857 conjugacy classes of subgroups.

The subgroup lattice has 771 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10596162C211yesmaximal, characteristic, complemented
2#10593943C211yesmaximal, characteristic, complemented
3C3×#5068C211yesmaximal, characteristic, complemented
4C3×#5065C211yesmaximal, characteristic, complemented
5#10590524C211yesmaximal, characteristic, complemented
6#10590522C211yesmaximal, characteristic, complemented
7#10590508C211yesmaximal, characteristic
8#10590506C211yesmaximal, characteristic, complemented
9#10590485C211yesmaximal, characteristic, complemented
10#10590484C211yesmaximal, characteristic, complemented
11#10590462C211yesmaximal, characteristic, complemented
12#10590461C211yesmaximal, characteristic, complemented
13#10590370C211yesmaximal, characteristic, complemented
14C4×#3712C211yesmaximal, characteristic, complemented
15#10590293C211yesmaximal, characteristic, complemented
16#81911—31nomaximal
17#81631—31nomaximal
18C32×#125C2211yescharacteristic
19#64107—21no—
20#64106C2211yescharacteristic
21#64104C2211yescharacteristic
22#64103—21no—
23#64102—21no—
24#64102C2211yescharacteristic
25#64101—21no—
26#64096C2211yescharacteristic
27#64084C2211yescharacteristic
28C42×C3⋊D3C2211yescharacteristic
29C3×#875C2211yescharacteristic
30C3×#870C2211yescharacteristic
31#63916C2211yescharacteristic
32#63898C2211yescharacteristic
33#63881—21no—
34#63878—21no—
35#63871C2211yescharacteristic
36#63862—21no—
37#63853—21no—
38#63843C2211yescharacteristic
39C2×#3719C2211yescharacteristic
40C2×#3717C2211yescharacteristic
41C2×#3716C2211yescharacteristic
42C2×#3714C2211yescharacteristic
43C2×#3712C2211yescharacteristic
44C2×#3712C2211yescharacteristic
45C3×#810C2211yescharacteristic
46C3×#810C2211yescharacteristic
47C3×#809C2211yescharacteristic
48C3×#809C2211yescharacteristic
49C3×#808C2211yescharacteristic
50C3×#808C2211yescharacteristic
51C3×#807C2211yescharacteristic
52C3×#807C2211yescharacteristic
53C3×C4×C3⋊C8C2211yescharacteristic
54C3×C4×C3⋊C8C2211yescharacteristic
55#63567C2211yescharacteristic
56#63567C2211yescharacteristic
57#63564C2211yescharacteristic
58#63564C2211yescharacteristic
59#63555C2211yescharacteristic
60#63555C2211yescharacteristic
61#5691—31no—
62#5691—31no—
63#5691—31no—
64#5691—61no—
65#5680—31no—
66C3×#499—31no—
67C3×#488—31no—
68#5068—31no—
69#5068D311yescharacteristic, complemented
70#5065D311yescharacteristic, complemented
71#5059—31no—
72#4889—31no—
73#4889—31no—
74#4886—31no—
75#4886—31no—
76#4869—31no—
77#4867—31no—
78#4865—31no—
79#4853—31no—
80#4817—31no—
81#4816—31no—
82#4812—31no—
83#4789—31no—
84#4785—31no—
85#4782—31no—
86#4780—31no—
87#4757—31no—
88#4697—31no—
89#4696—31no—
90C4×ΓL(1,𝔽25)—31no—
91C4×ΓL(1,𝔽25)—31no—
92C2×C4⋊(C3⋊D3)—21no—
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×C4×C3⋊D3—21no—
95C2×C4×C3⋊D3D411yescharacteristic
96C2×C4×C3⋊D3D411yescharacteristic
97C2×C4×C3⋊D3C2311yescharacteristic
98C2×#634C2311yescharacteristic
99C2×C3×D12C2311yescharacteristic
100C2×C3×Dic6C2311yescharacteristic
101C2×#626—21no—
102C2×D3×Dic3—21no—
103C32×C4⋊C4—21no—
104C32×C4⋊C4—21no—
105C32×C4⋊C4C2311yescharacteristic
106C32×C4⋊C4C2311yescharacteristic
107C32×C42C2311yescharacteristic
108#3752—21no—
109#3752—21no—
110#3752—21no—
111#3752—21no—
112#3752—21no—
113C4⋊(C3⋊Dic3)—21no—
114#3750—21no—
115C4×C3⋊Dic3—21no—
116C4×C3⋊Dic3D411yescharacteristic
117C4×C3⋊Dic3D411yescharacteristic
118C4×C3⋊Dic3C2311yescharacteristic
119C3×(C2×D3)⋊C4—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C2×C3×C3⋊C8C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131#3722—21no—
132(C2×D3)⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134Dic32—21no—
135#3719—22no—
136#3717—22no—
137#3716—22no—
138#3714—22no—
139#3712—22no—
140#3712—22no—
141#3183—91noSylow
142C3×#125—21no—
143C3×#125—31no—
144C3×#125C2×D311yescharacteristic
145C3×#125C2×D311yescharacteristic
146C3×#124—31no—
147#946—31no—
148Q8×Dic3—31no—
149C2×#216—31no—
150C2×#215—31no—
151#938—31no—
152D4×Dic3—31no—
153C2×#214—31no—
154C2×#213—31no—
155C2×Dic12—31no—
156C2×D24—31no—
157C2×#204—31no—
158C2×#204—31no—
159C2×ΓL(1,𝔽25)—31no—
160C2×ΓL(1,𝔽25)—31no—
161C2×ΓL(1,𝔽25)—31no—
162C2×ΓL(1,𝔽25)—31no—
163#898—61no—
164#898—61no—
165#898—61no—
166#898—62no—
167#897—31no—
168#897—31no—
169#897—31no—
170#897—61no—
171#895—31no—
172#895—31no—
173#895—31no—
174#895—61no—
175#894—61no—
176#894—61no—
177#894—61no—
178#894—62no—
179#893—31no—
180#893—31no—
181#893—31no—
182#893—61no—
183#893—61no—
184#893—61no—
185#893—61no—
186#893—62no—
187#892—61no—
188#892—61no—
189#892—61no—
190#892—62no—
191#887—31no—
192#887—31no—
193#887—31no—
194#887—61no—
195#883—61no—
196#67⋊C4—61no—
197#879—61no—
198#877—61no—
199#875—31no—
200#875—31no—
201#875—61no—
202#875C2×D311yescharacteristic
203C42×D3—31no—
204C42×D3—31no—
205C42×D3—61no—
206#870C2×D311yescharacteristic
207C3×#107—31no—
208C3×#107—31no—
209C3×#106—31no—
210C3×#106—31no—
211C3×#103—31no—
212C3×#103—31no—
213C3×#102—31no—
214C3×#102—31no—
215C3×C4×C8—31no—
216C3×C4×C8—31no—
217#821—31no—
218#821—31no—
219#816—31no—
220#816—31no—
221#815—31no—
222#815—31no—
223#815—31no—
224#815—31no—
225#810—31no—
226#810—31no—
227#810C2×D311yescharacteristic
228#810C2×D311yescharacteristic
229#809—31no—
230#809—31no—
231#809C2×D311yescharacteristic
232#809C2×D311yescharacteristic
233#808C2×D311yescharacteristic
234#808C2×D311yescharacteristic
235#807C2×D311yescharacteristic
236#807C2×D311yescharacteristic
237C4×C3⋊C8C2×D311yescharacteristic
238C4×C3⋊C8C2×D311yescharacteristic
239C22×C3⋊D3—21no—
240C22×C3⋊D3C2×D411yescharacteristic
241C22×C3×D3—21no—
242C2×C32×C4—21no—
243C2×C32×C4—21no—
244C2×C32×C4C2×D411yescharacteristic
245C2×C32×C4C2×D411yescharacteristic
246C2×C32×C4C2411yescharacteristic
247C2×C3⋊Dic3—21no—
248C2×C3⋊Dic3C2×D411yescharacteristic
249C2×C3⋊Dic3C2×D411yescharacteristic
250C2×C3⋊Dic3C2×D411yescharacteristic
251C4⋊(C3⋊D3)—21no—
252C4⋊(C3⋊D3)—21no—
253C4⋊(C3⋊D3)—42no—
254C4×C3⋊D3—21no—
255C4×C3⋊D3—21no—
256C4×C3⋊D3—41no—
257C4×C3⋊D3—41no—
258C4×C3⋊D3—42no—
259#634—21no—
260#634—21no—
261C2×C3×Dic3—21no—
262C2×C3×Dic3—21no—
263C2×C3×Dic3—21no—
264C3×D12—21no—
265C3×D12—21no—
266C3×Dic6—21no—
267C3×Dic6—21no—
268#626—42no—
269D3×Dic3—42no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272C3×C3⋊C8#4112yes—
273C3×C3⋊C8#4112yes—
274#529—91no—
275#529—91no—
276#499—31no—
277#495—91no—
278#488—31no—
279#488—91no—
280#470—91no—
281#469—91no—
282#468—91no—
283#468—91no—
284#442—91no—
285#441—91no—
286#440—91no—
287#440—91no—
288C4×M16—91no—
289C2×C3×Q8—31no—
290C2×C3×D4—31no—
291C2×#67—61no—
292C22×Dic3—61no—
293C2×D12—31no—
294C2×D12—31no—
295C2×D12—61no—
296C2×D12—61no—
297C2×D12—61no—
298C2×D12—62no—
299C2×D12—61no—
300C2×D12C22×D311yescharacteristic
301C2×C4×D3—31no—
302C2×C4×D3—31no—
303C2×C4×D3—31no—
304C2×C4×D3—31no—
305C2×C4×D3—31no—
306C2×C4×D3—31no—
307C2×C4×D3—61no—
308C2×C4×D3—61no—
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×C4×D3—61no—
312C2×C4×D3—61no—
313C2×C4×D3—62no—
314C2×Dic6—31no—
315C2×Dic6—31no—
316C2×Dic6—61no—
317C2×Dic6C22×D311yescharacteristic
318C2×C3×C8—31no—
319C2×C3×C8—31no—
320C2×C3×C8—31no—
321C2×C3×C8—31no—
322C3×C4⋊C4—22no—
323C3×C4⋊C4—22no—
324C3×C4⋊C4—21no—
325C3×C4⋊C4—21no—
326C3×C4⋊C4—21no—
327C3×C4⋊C4—21no—
328C3×C4⋊C4—21no—
329C3×C4⋊C4—21no—
330C3×C4⋊C4—31no—
331C3×C4⋊C4—31no—
332C3×C4⋊C4—61no—
333C3×C4⋊C4—61no—
334C3×C4⋊C4C22×D311yescharacteristic
335C3×C4⋊C4C22×D311yescharacteristic
336C3×C4⋊C4C22×D311yescharacteristic
337C3×C4⋊C4C22×D311yescharacteristic
338C3×C22⋊C4—61no—
339C3×C22⋊C4—61no—
340C3×C42—21no—
341C3×C42C22×D311yescharacteristic
342C3×C42C22×D311yescharacteristic
343#217—61no—
344#217—61no—
345#216—62no—
346#215—62no—
347#214—62no—
348#213—62no—
349(C2×D3)⋊C4—21no—
350(C2×D3)⋊C4—21no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
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—62no—
362(C2×D3)⋊C4—62no—
363(C2×D3)⋊C4—62no—
364(C2×D3)⋊C4—62no—
365(C2×D3)⋊C4—62no—
366(C2×D3)⋊C4—61no—
367(C2×D3)⋊C4—61no—
368(C2×D3)⋊C4—61no—
369(C2×D3)⋊C4—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3—61no—
374C4⋊Dic3—62no—
375C4⋊Dic3C22×D311yescharacteristic
376C4⋊Dic3C22×D311yescharacteristic
377Dic3⋊C4—21no—
378Dic3⋊C4—21no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—62no—
384C4×Dic3—31no—
385C4×Dic3—31no—
386C4×Dic3—31no—
387C4×Dic3—31no—
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—
397C4×Dic3—62no—
398C2×C3⋊C8C22×D311yescharacteristic
399C2×C3⋊C8C22×D311yescharacteristic
400C2×C3⋊C8C22×D311yescharacteristic
401C2×C3⋊C8C22×D311yescharacteristic
402Dic12—62no—
403D24—62no—
404#204—62no—
405#204—62no—
406ΓL(1,𝔽25)—62no—
407ΓL(1,𝔽25)—62no—
408ΓL(1,𝔽25)—62no—
409ΓL(1,𝔽25)—62no—
410C22×C32C22×D411yescharacteristic
411C2×C3⋊D3—21no—
412C2×C3⋊D3—21no—
413C2×C3⋊D3—21no—
414C2×C3⋊D3—41no—
415C2×C3⋊D3—41no—
416C2×C3⋊D3—41no—
417C2×C3×D3—41no—
418C2×C3×D3—41no—
419C2×C3×D3—41no—
420C32×C4—21no—
421C32×C4—21no—
422C32×C4—41no—
423C32×C4—41no—
424C32×C4C2×#4111yescharacteristic
425C32×C4C2×#4111yescharacteristic
426C3⋊Dic3—21no—
427C3⋊Dic3—21no—
428C3⋊Dic3—21no—
429C3⋊Dic3—41no—
430C3×Dic3—41no—
431C3×Dic3—41no—
432C3×Dic3—41no—
433C2×Q16—91no—
434C2×SD16—91no—
435C2×SD16—91no—
436C2×D8—91no—
437C2×M16—91no—
438C2×M16—91no—
439#126—181no—
440#126—181no—
441#125—31no—
442#125D3211yescharacteristic
443#124—31no—
444#124—91no—
445#123—181no—
446#123—181no—
447C22⋊Q8—91no—
448C22⋊Q8—91no—
449#121—91no—
450#121—91no—
451C4×Q8—91no—
452C4×Q8—91no—
453C4×D4—91no—
454C4×D4—91no—
455C4×D4—181no—
456C4×D4—181no—
457#117—181no—
458#117—181no—
459C2×C42—91no—
460#107—31no—
461#107—31no—
462#106—31no—
463#106—31no—
464#103—31no—
465#103—31no—
466#103—91no—
467#103—91no—
468#102—31no—
469#102—31no—
470#102—91no—
471#102—91no—
472#97—91no—
473#97—91no—
474C4×C8—31no—
475C4×C8—31no—
476C23×C3—61no—
477C22×D3—21no—
478C22×D3—31no—
479C22×D3—31no—
480C22×D3—61no—
481C22×D3—62no—
482C22×D3—61no—
483C22×D3—61no—
484C3×Q8—61no—
485C3×Q8—61no—
486C3×D4—61no—
487C3×D4—61no—
488C2×C3×C4—22no—
489C2×C3×C4—22no—
490C2×C3×C4—21no—
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—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4D3×D411yescharacteristic
501C2×C3×C4D3×D411yescharacteristic
502C2×C3×C4D3×D411yescharacteristic
503C2×C3×C4D3×D411yescharacteristic
504C2×C3×C4C23×D311yescharacteristic
505C2×C3×C4C23×D311yescharacteristic
506#67—122no—
507C2×Dic3—21no—
508C2×Dic3—21no—
509C2×Dic3—21no—
510C2×Dic3—31no—
511C2×Dic3—31no—
512C2×Dic3—31no—
513C2×Dic3—31no—
514C2×Dic3—31no—
515C2×Dic3—31no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—61no—
519C2×Dic3—62no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—122no—
523D12—21no—
524D12—21no—
525D12—61no—
526D12—61no—
527D12—61no—
528D12—61no—
529D12—121no—
530D12—121no—
531D12—124no—
532D12—122no—
533D12—122no—
534D12—122no—
535C4×D3—61no—
536C4×D3—61no—
537C4×D3—61no—
538C4×D3—61no—
539C4×D3—121no—
540C4×D3—121no—
541C4×D3—121no—
542C4×D3—121no—
543C4×D3—121no—
544C4×D3—121no—
545C4×D3—122no—
546C4×D3—124no—
547C4×D3—122no—
548C4×D3—122no—
549C4×D3—122no—
550C4×D3—122no—
551Dic6—21no—
552Dic6—21no—
553Dic6—61no—
554Dic6—61no—
555Dic6—61no—
556Dic6—61no—
557Dic6—121no—
558Dic6—121no—
559C3×C8—32no—
560C3×C8—32no—
561C3×C8—61no—
562C3×C8—61no—
563C3⋊C8—21no—
564C3⋊C8—21no—
565C3⋊C8#23912yes—
566C3⋊C8#23912yes—
567C2×C32#53211yescharacteristic
568C2×C32#57511yescharacteristic
569C2×C32#57511yescharacteristic
570C3⋊D3—41no—
571C3⋊D3—81no—
572C3×D3—81no—
573C2×Q8—31no—
574C2×Q8—91no—
575C2×D4—31no—
576C2×D4—91no—
577C2×D4—181no—
578C2×D4—181no—
579C22×C4—91no—
580C22×C4—91no—
581C22×C4—91no—
582C22×C4—181no—
583C22×C4—181no—
584Q16—182no—
585SD16—182no—
586SD16—182no—
587D8—182no—
588M16—182no—
589M16—182no—
590C2×C8—31no—
591C2×C8—31no—
592C2×C8—31no—
593C2×C8—31no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—31no—
597C4⋊C4—31no—
598C4⋊C4—61no—
599C4⋊C4—61no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4C2×D3211yescharacteristic
605C4⋊C4C2×D3211yescharacteristic
606C22⋊C4—61no—
607C22⋊C4—61no—
608C22⋊C4—181no—
609C22⋊C4—181no—
610C22⋊C4—181no—
611C22⋊C4—181no—
612C22⋊C4—181no—
613C22⋊C4—181no—
614C22⋊C4—181no—
615C22⋊C4—181no—
616C42—91no—
617C42—91no—
618C42—91no—
619C42—181no—
620C42—181no—
621C42C2×D3211yescharacteristic
622C22×C3—21no—
623C22×C3—121no—
624C22×C3—121no—
625C22×C3—121no—
626C22×C3C2×D3×D411yescharacteristic
627C22×C3C2×D3×D411yescharacteristic
628C2×D3—41no—
629C2×D3—41no—
630C2×D3—41no—
631C2×D3—62no—
632C2×D3—61no—
633C2×D3—61no—
634C2×D3—61no—
635C2×D3—61no—
636C2×D3—61no—
637C2×D3—61no—
638C2×D3—121no—
639C2×D3—121no—
640C2×D3—122no—
641C2×D3—122no—
642C2×D3—122no—
643C2×D3—121no—
644C2×D3—121no—
645C2×D3—121no—
646C2×D3—121no—
647C2×D3—121no—
648C2×D3—121no—
649C3×C4—21no—
650C3×C4—21no—
651C3×C4—21no—
652C3×C4—21no—
653C3×C4—21no—
654C3×C4—21no—
655C3×C4—41no—
656C3×C4—41no—
657C3×C4—42no—
658C3×C4—42no—
659C3×C4—41no—
660C3×C4—41no—
661C3×C4—41no—
662C3×C4—41no—
663C3×C4—121no—
664C3×C4—121no—
665C3×C4—121no—
666C3×C4C2×#23911yescharacteristic
667C3×C4C2×#23911yescharacteristic
668C3×C4D3×#4111yescharacteristic
669C3×C4D3×#4111yescharacteristic
670Dic3—41no—
671Dic3—41no—
672Dic3—41no—
673Dic3—62no—
674Dic3—61no—
675Dic3—61no—
676Dic3—61no—
677Dic3—61no—
678Dic3—61no—
679Dic3—61no—
680Dic3—121no—
681Dic3—121no—
682Dic3—122no—
683Dic3—121no—
684Dic3—121no—
685C32#318311yescharacteristic, complemented, Sylow
686C23—61no—
687C23—91no—
688C23—181no—
689Q8—61no—
690Q8—61no—
691Q8—181no—
692Q8—181no—
693D4—61no—
694D4—61no—
695D4—181no—
696D4—181no—
697D4—362no—
698D4—362no—
699C2×C4—21no—
700C2×C4—21no—
701C2×C4—61no—
702C2×C4—61no—
703C2×C4—61no—
704C2×C4—91no—
705C2×C4—91no—
706C2×C4—91no—
707C2×C4—181no—
708C2×C4—181no—
709C2×C4—181no—
710C2×C4—361no—
711C2×C4—361no—
712C2×C4—362no—
713C2×C4—362no—
714C2×C4#381111yescharacteristic
715C2×C4#381111yescharacteristic
716C2×C4C22×D3211yescharacteristic
717C8—32no—
718C8—32no—
719C8—61no—
720C8—61no—
721C2×C3—21no—
722C2×C3—21no—
723C2×C3—21no—
724C2×C3—241no—
725C2×C3#566811yescharacteristic
726C2×C3#572511yescharacteristic
727C2×C3#576811yescharacteristic
728C2×C3#576811yescharacteristic
729C2×C3#576811yescharacteristic
730C2×C3#576811yescharacteristic
731D3—81no—
732D3—122no—
733D3—121no—
734D3—121no—
735D3—242no—
736D3—241no—
737D3—241no—
738C22—121no—
739C22—121no—
740C22—121no—
741C22—181no—
742C22—181no—
743C22—181no—
744C22—361no—
745C22—361no—
746C22—361no—
747C22C2×#381111yescharacteristic
748C4—21no—
749C4—21no—
750C4—41no—
751C4—41no—
752C4—121no—
753C4—121no—
754C4—121no—
755C4—181no—
756C4—181no—
757C4—181no—
758C4—361no—
759C4D3×#23911yescharacteristic
760C4D3×#23911yescharacteristic
761C3—21no—
762C3#8163111yescharacteristic, complemented
763C3#8191111yescharacteristic, complemented
764C2—241no—
765C2—361no—
766C2—721no—
767C2#1059536311yescharacteristic
768C2#1059546011yescharacteristic
769C2#1059546011yescharacteristic
subgroupG/H
centerC22C2×#3811
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#125C22
socleC22×C32C22×D4
prime radical#10590508C2
hypercenter#125D32
hypocenterC32#3183
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ #125

Complements

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

NH ≅ G/Ntype
1. #10596162C2semidirect
2. #10593943C2semidirect
3. C3×#5068C2semidirect
4. C3×#5065C2semidirect
5. #10590524C2semidirect
6. #10590522C2semidirect
8. #10590506C2semidirect
9. #10590485C2semidirect
10. #10590484C2semidirect
11. #10590462C2semidirect
12. #10590461C2semidirect
13. #10590370C2semidirect
14. C4×#3712C2semidirect
15. #10590293C2semidirect
69. #5068D3semidirect
70. #5065D3semidirect
685. C32#3183semidirect
762. C3#81631semidirect
763. C3#81911semidirect

Maximal subgroups

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

subgroupindex
#105961622
#105939432
C3×#50682
C3×#50652
#105905242
#105905222
#105905082
#105905062
#105904852
#105904842
#105904622
#105904612
#105903702
C4×#37122
#105902932
#819113
#816313