Finite Group Databasebeta

← #11876923

Subgroups — #11876923

Order 1152.

806 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595173C211yesmaximal, characteristic, complemented
2#10594453C211yesmaximal, characteristic, complemented
3#10592484C211yesmaximal, characteristic, complemented
4C3×#4780C211yesmaximal, characteristic, complemented
5C3×#4768C211yesmaximal, characteristic, complemented
6#10591473C211yesmaximal, characteristic, complemented
7#10591453C211yesmaximal, characteristic
8#10591446C211yesmaximal, characteristic, complemented
9#10590872C211yesmaximal, characteristic, complemented
10#10590850C211yesmaximal, characteristic, complemented
11#10590791C211yesmaximal, characteristic, complemented
12Dic3×ΓL(1,𝔽25)C211yesmaximal, characteristic, complemented
13#10590520C211yesmaximal, characteristic, complemented
14#10590484C211yesmaximal, characteristic, complemented
15#10590413C211yesmaximal, characteristic, complemented
16#81631—31nomaximal
17#80791—31nomaximal
18D4×C3⋊Dic3C2211yescharacteristic
19C2×#3753C2211yescharacteristic
20#64102C2211yescharacteristic
21C3×#938C2211yescharacteristic
22C3×#936C2211yescharacteristic
23C2×C3×#214C2211yescharacteristic
24C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
25C3×#897C2211yescharacteristic
26C3×#890C2211yescharacteristic
27#67⋊Dic3—21no—
28#63969—21no—
29#63957—21no—
30#63956—21no—
31#63909C2211yescharacteristic
32#63890—21no—
33#63881—21no—
34C4×D3×Dic3C2211yescharacteristic
35#63869C2211yescharacteristic
36#63864C2211yescharacteristic
37#63856C2211yescharacteristic
38#63849—21no—
39#63848—21no—
40#63843C2211yescharacteristic
41#63843C2211yescharacteristic
42C2×#3718C2211yescharacteristic
43C2×#3717C2211yescharacteristic
44C2×#3711C2211yescharacteristic
45C32×#102C2211yescharacteristic
46#63648C2211yescharacteristic
47#63642C2211yescharacteristic
48#63635C2211yescharacteristic
49C3×#832C2211yescharacteristic
50C3×#816C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×C8×Dic3C2211yescharacteristic
53C3×#810C2211yescharacteristic
54C3×#807C2211yescharacteristic
55#63575C2211yescharacteristic
56#63574C2211yescharacteristic
57#63566C2211yescharacteristic
58#63564C2211yescharacteristic
59#63555C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5691—31no—
62#5680—31no—
63#5624—31no—
64#5600—31no—
65C3×#488—31no—
66C3×#468—31no—
67#5168—31no—
68#5164—31no—
69#5134—31no—
70Dic3×M16—31no—
71#5065—31no—
72#5059—31no—
73#5052—31no—
74#5039—31no—
75#4889—31no—
76#4878—31no—
77#4817—31no—
78#4816—31no—
79#4812—31no—
80#4800—31no—
81#4789—31no—
82#4789—31no—
83#4785—31no—
84#4785—31no—
85#4785—61no—
86#4782—31no—
87#4780D311yescharacteristic, complemented
88#4768D311yescharacteristic, complemented
89#4757—31no—
90#4697—31no—
91C4×ΓL(1,𝔽25)—31no—
92C2×C32×D4C2311yescharacteristic
93C22×C3⋊Dic3—21no—
94C2×C4⋊(C3⋊D3)C2311yescharacteristic
95C2×C4×C3⋊D3—21no—
96C2×C3×#67—21no—
97C2×C3×C4×D3C2311yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99C2×C3×Dic6C2311yescharacteristic
100C2×#626—21no—
101C2×D3×Dic3D411yescharacteristic
102C2×D3×Dic3D411yescharacteristic
103C2×C32×C8C2311yescharacteristic
104C32×C4⋊C4C2311yescharacteristic
105#3757—21no—
106#3753—22no—
107#3752—21no—
108C4⋊(C3⋊Dic3)C2311yescharacteristic
109C4×C3⋊Dic3C2311yescharacteristic
110C2×C3⋊(C3⋊C8)C2311yescharacteristic
111C3×#217—21no—
112C3×#217—21no—
113C3×#217—21no—
114C3×#214—22no—
115C3×(C2×D3)⋊C4—21no—
116C3×C4⋊Dic3—21no—
117C3×C4⋊Dic3—21no—
118C3×C4⋊Dic3C2311yescharacteristic
119C3×C4⋊Dic3C2311yescharacteristic
120C3×Dic3⋊C4—21no—
121C3×C4×Dic3C2311yescharacteristic
122C2×C3×C3⋊C8C2311yescharacteristic
123C2×C3×C3⋊C8C2311yescharacteristic
124C3×ΓL(1,𝔽25)—22no—
125#3724—21no—
126#3724—21no—
127Dic3⋊Dic3—21no—
128Dic3⋊Dic3—21no—
129Dic3⋊Dic3—21no—
130#3722—21no—
131#3722—21no—
132#3722—21no—
133(C2×D3)⋊Dic3—21no—
134Dic32—21no—
135Dic32—21no—
136Dic32D411yescharacteristic
137Dic32D411yescharacteristic
138#3718—22no—
139#3717—22no—
140#3711—22no—
141#3183—91noSylow
142C2×C3×SD16—31no—
143C2×C3×M16—31no—
144C3×#125—31no—
145C3×#124—31no—
146C3×C22⋊Q8—31no—
147C3×#121—31no—
148#947—31no—
149#946—31no—
150Q8×Dic3—31no—
151Q8×Dic3—31no—
152C2×#216—31no—
153C2×#216—31no—
154C2×#215—31no—
155#938C2×D311yescharacteristic
156#936C2×D311yescharacteristic
157#935—61no—
158D4×Dic3—31no—
159D4×Dic3—31no—
160D4×Dic3—61no—
161D4×Dic3—61no—
162C2×#214C2×D311yescharacteristic
163C2×#213—31no—
164C2×#213—31no—
165C2×#213—61no—
166#930—31no—
167#924—31no—
168C2×C4×Dic3—31no—
169C2×#208—31no—
170C2×#204—31no—
171C2×ΓL(1,𝔽25)—31no—
172C2×ΓL(1,𝔽25)C2×D311yescharacteristic
173#898—61no—
174#898—61no—
175#897C2×D311yescharacteristic
176#895—31no—
177#894—61no—
178#893—31no—
179#893—31no—
180#893—61no—
181#893—61no—
182#892—61no—
183#892—61no—
184#890—31no—
185#890C2×D311yescharacteristic
186#887—31no—
187#887—31no—
188#886—61no—
189#883—61no—
190#67⋊C4—61no—
191#67⋊C4—61no—
192#879—61no—
193#879—61no—
194#877—61no—
195#877—61no—
196#875—31no—
197C42×D3—31no—
198#870—31no—
199C3×#107—31no—
200C3×#103—31no—
201C3×#103—31no—
202C3×#103—31no—
203C3×#102—21no—
204C3×#102—31no—
205C3×#102C2×D311yescharacteristic
206C3×#102C2×D311yescharacteristic
207C3×C4×C8—31no—
208#835—31no—
209#832C2×D311yescharacteristic
210#821—31no—
211#821—31no—
212#821—31no—
213#821—61no—
214#818—31no—
215#816—31no—
216#816C2×D311yescharacteristic
217#816C2×D311yescharacteristic
218#815—31no—
219#815—31no—
220#815—31no—
221#815—31no—
222#815—61no—
223C8×Dic3—31no—
224C8×Dic3C2×D311yescharacteristic
225#810C2×D311yescharacteristic
226#809—31no—
227#808—31no—
228#808—31no—
229#808—31no—
230#808—31no—
231#808—61no—
232#807—31no—
233#807C2×D311yescharacteristic
234C4×C3⋊C8—31no—
235C23×C32—21no—
236C22×C3⋊D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C32×D4—21no—
239C32×D4—21no—
240C2×C32×C4—21no—
241C2×C32×C4C2411yescharacteristic
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3—42no—
244C2×C3⋊Dic3C2×D411yescharacteristic
245C2×C3⋊Dic3C2×D411yescharacteristic
246C4⋊(C3⋊D3)—21no—
247C4⋊(C3⋊D3)—21no—
248C4×C3⋊D3—42no—
249C3×#67—42no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C3×C4×D3—21no—
258C3×C4×D3—21no—
259C3×Dic6—21no—
260C3×Dic6—21no—
261C3×Dic6—21no—
262C3×Dic6—21no—
263#626—42no—
264D3×Dic3—41no—
265D3×Dic3—41no—
266C32×C8—21no—
267C3⋊(C3⋊C8)#4112yes—
268C3×C3⋊C8—21no—
269C3×C3⋊C8#4112yes—
270#529—91no—
271#529—91no—
272#499—91no—
273#495—91no—
274#488—31no—
275#488—91no—
276#470—91no—
277#469—91no—
278#468—31no—
279#468—91no—
280#442—91no—
281#441—91no—
282#440—91no—
283#440—91no—
284C4×M16—91no—
285C2×C3×Q8—31no—
286C2×C3×Q8—31no—
287C2×C3×D4—21no—
288C2×C3×D4—61no—
289C2×C3×D4C22×D311yescharacteristic
290C2×C3×D4C22×D311yescharacteristic
291C22×C3×C4—31no—
292C2×#67—21no—
293C2×#67—61no—
294C22×Dic3—31no—
295C22×Dic3—31no—
296C22×Dic3—61no—
297C22×Dic3—61no—
298C22×Dic3—121no—
299C2×D12—31no—
300C2×D12—31no—
301C2×D12—61no—
302C2×D12—61no—
303C2×C4×D3—31no—
304C2×C4×D3—31no—
305C2×C4×D3—61no—
306C2×C4×D3—61no—
307C2×C4×D3—121no—
308C2×C4×D3C22×D311yescharacteristic
309C2×Dic6C22×D311yescharacteristic
310C2×Dic6C22×D311yescharacteristic
311C3×SD16—62no—
312C3×M16—62no—
313C2×C3×C8—21no—
314C2×C3×C8—31no—
315C2×C3×C8—31no—
316C2×C3×C8C22×D311yescharacteristic
317C2×C3×C8C22×D311yescharacteristic
318C3×C4⋊C4—21no—
319C3×C4⋊C4—31no—
320C3×C4⋊C4—31no—
321C3×C4⋊C4—61no—
322C3×C4⋊C4—61no—
323C3×C4⋊C4—61no—
324C3×C4⋊C4C22×D311yescharacteristic
325C3×C4⋊C4C22×D311yescharacteristic
326C3×C22⋊C4—61no—
327C3×C22⋊C4—61no—
328C3×C22⋊C4—61no—
329C3×C22⋊C4—61no—
330C3×C42—31no—
331#217—21no—
332#217—21no—
333#217—21no—
334#217—61no—
335#217—61no—
336#217—61no—
337#217—121no—
338#216—62no—
339#216—62no—
340#215—62no—
341#214—22no—
342#213—62no—
343#213—62no—
344#213—64no—
345(C2×D3)⋊C4—21no—
346(C2×D3)⋊C4—61no—
347(C2×D3)⋊C4—61no—
348(C2×D3)⋊C4—61no—
349(C2×D3)⋊C4—61no—
350(C2×D3)⋊C4—61no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—121no—
356C4⋊Dic3—21no—
357C4⋊Dic3—21no—
358C4⋊Dic3—31no—
359C4⋊Dic3—31no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3C22×D311yescharacteristic
365C4⋊Dic3C22×D311yescharacteristic
366Dic3⋊C4—21no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374C4×Dic3—31no—
375C4×Dic3—31no—
376C4×Dic3—31no—
377C4×Dic3—31no—
378C4×Dic3—31no—
379C4×Dic3—31no—
380C4×Dic3—61no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3C22×D311yescharacteristic
386#208—62no—
387C2×C3⋊C8—31no—
388C2×C3⋊C8—31no—
389C2×C3⋊C8—61no—
390C2×C3⋊C8C22×D311yescharacteristic
391C2×C3⋊C8C22×D311yescharacteristic
392#204—62no—
393ΓL(1,𝔽25)—22no—
394ΓL(1,𝔽25)—62no—
395C22×C32—41no—
396C22×C32—41no—
397C22×C32—41no—
398C22×C32C22×D411yescharacteristic
399C2×C3⋊D3—41no—
400C2×C3⋊D3—41no—
401C2×C3⋊D3—41no—
402C2×C3×D3—21no—
403C2×C3×D3—21no—
404C2×C3×D3—21no—
405C32×C4—41no—
406C32×C4C2×#4111yescharacteristic
407C32×C4C2×#4111yescharacteristic
408C3⋊Dic3—21no—
409C3⋊Dic3—21no—
410C3⋊Dic3—41no—
411C3×Dic3—21no—
412C3×Dic3—21no—
413C3×Dic3—21no—
414C3×Dic3—41no—
415C3×Dic3—41no—
416C3×Dic3—41no—
417C3×Dic3—41no—
418C2×Q16—91no—
419C2×SD16—31no—
420C2×SD16—91no—
421C2×D8—91no—
422C2×M16—31no—
423C2×M16—91no—
424#126—181no—
425#126—181no—
426#125—31no—
427#125—91no—
428#124—31no—
429#124—91no—
430#123—181no—
431#123—181no—
432C22⋊Q8—31no—
433C22⋊Q8—91no—
434#121—31no—
435#121—91no—
436C4×Q8—91no—
437C4×Q8—91no—
438C4×D4—91no—
439C4×D4—91no—
440C4×D4—181no—
441C4×D4—181no—
442#117—181no—
443#117—181no—
444C2×C42—91no—
445#107—31no—
446#107—91no—
447#106—91no—
448#106—91no—
449#103—31no—
450#103—31no—
451#103—31no—
452#103—91no—
453#102—31no—
454#102—91no—
455#102—91no—
456#102D3211yescharacteristic
457#97—91no—
458#97—91no—
459C4×C8—31no—
460C4×C8—91no—
461C23×C3—21no—
462C23×C3—21no—
463C23×C3—31no—
464C23×C3—41no—
465C22×D3—61no—
466C22×D3—61no—
467C22×D3—121no—
468C22×D3D3×D411yescharacteristic
469C3×Q8—61no—
470C3×Q8—61no—
471C3×Q8—61no—
472C3×Q8—61no—
473C3×D4—22no—
474C3×D4—21no—
475C3×D4—21no—
476C3×D4—21no—
477C3×D4—21no—
478C3×D4—41no—
479C3×D4—122no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—31no—
484C2×C3×C4—31no—
485C2×C3×C4—31no—
486C2×C3×C4—41no—
487C2×C3×C4—61no—
488C2×C3×C4—61no—
489C2×C3×C4—61no—
490C2×C3×C4—61no—
491C2×C3×C4—61no—
492C2×C3×C4—61no—
493C2×C3×C4C23×D311yescharacteristic
494C2×C3×C4C23×D311yescharacteristic
495#67—42no—
496#67—122no—
497C2×Dic3—21no—
498C2×Dic3—21no—
499C2×Dic3—21no—
500C2×Dic3—21no—
501C2×Dic3—31no—
502C2×Dic3—31no—
503C2×Dic3—31no—
504C2×Dic3—31no—
505C2×Dic3—61no—
506C2×Dic3—61no—
507C2×Dic3—61no—
508C2×Dic3—61no—
509C2×Dic3—121no—
510C2×Dic3—121no—
511C2×Dic3—121no—
512C2×Dic3—122no—
513C2×Dic3—122no—
514C2×Dic3—242no—
515C2×Dic3D3×D411yescharacteristic
516C2×Dic3D3×D411yescharacteristic
517C2×Dic3D3×D411yescharacteristic
518D12—62no—
519D12—61no—
520D12—61no—
521D12—61no—
522D12—61no—
523D12—121no—
524D12—122no—
525C4×D3—21no—
526C4×D3—21no—
527C4×D3—122no—
528C4×D3—122no—
529C4×D3—121no—
530C4×D3—121no—
531C4×D3—242no—
532Dic6—21no—
533Dic6—21no—
534Dic6—21no—
535Dic6—21no—
536C3×C8—21no—
537C3×C8—21no—
538C3×C8—32no—
539C3×C8—41no—
540C3×C8—61no—
541C3⋊C8—21no—
542C3⋊C8—32no—
543C3⋊C8—32no—
544C3⋊C8—62no—
545C3⋊C8#23712yes—
546C2×C32—81no—
547C2×C32#53211yescharacteristic
548C2×C32#57511yescharacteristic
549C2×C32#57511yescharacteristic
550C3⋊D3—81no—
551C3×D3—41no—
552C2×Q8—31no—
553C2×Q8—31no—
554C2×D4—61no—
555C2×D4—91no—
556C2×D4—181no—
557C2×D4C2×D3211yescharacteristic
558C22×C4—31no—
559C22×C4—91no—
560C22×C4—91no—
561C22×C4—181no—
562C22×C4—181no—
563Q16—182no—
564SD16—62no—
565SD16—182no—
566D8—182no—
567M16—62no—
568M16—182no—
569C2×C8—31no—
570C2×C8—31no—
571C2×C8—91no—
572C2×C8C2×D3211yescharacteristic
573C4⋊C4—31no—
574C4⋊C4—31no—
575C4⋊C4—61no—
576C4⋊C4—61no—
577C4⋊C4—61no—
578C4⋊C4—91no—
579C4⋊C4—181no—
580C4⋊C4—181no—
581C4⋊C4—181no—
582C4⋊C4—181no—
583C4⋊C4—181no—
584C4⋊C4C2×D3211yescharacteristic
585C22⋊C4—61no—
586C22⋊C4—61no—
587C22⋊C4—61no—
588C22⋊C4—61no—
589C22⋊C4—181no—
590C22⋊C4—181no—
591C22⋊C4—181no—
592C22⋊C4—181no—
593C22⋊C4—181no—
594C22⋊C4—181no—
595C42—31no—
596C42—91no—
597C42—91no—
598C42—91no—
599C42—181no—
600C42—181no—
601C22×C3—21no—
602C22×C3—42no—
603C22×C3—41no—
604C22×C3—41no—
605C22×C3—41no—
606C22×C3—41no—
607C22×C3—41no—
608C22×C3—41no—
609C22×C3—61no—
610C22×C3—61no—
611C22×C3—61no—
612C22×C3—81no—
613C22×C3—81no—
614C22×C3C2×D3×D411yescharacteristic
615C22×C3C2×D3×D411yescharacteristic
616C2×D3—21no—
617C2×D3—21no—
618C2×D3—21no—
619C2×D3—122no—
620C2×D3—121no—
621C2×D3—121no—
622C2×D3—121no—
623C2×D3—121no—
624C2×D3—121no—
625C2×D3—121no—
626C2×D3—241no—
627C2×D3—241no—
628C3×C4—21no—
629C3×C4—21no—
630C3×C4—41no—
631C3×C4—41no—
632C3×C4—61no—
633C3×C4—61no—
634C3×C4—61no—
635C3×C4—81no—
636C3×C4—121no—
637C3×C4—121no—
638C3×C4—121no—
639C3×C4—121no—
640C3×C4C2×#23711yescharacteristic
641C3×C4D3×#4111yescharacteristic
642C3×C4D3×#4111yescharacteristic
643C3×C4D3×#4111yescharacteristic
644Dic3—21no—
645Dic3—21no—
646Dic3—21no—
647Dic3—41no—
648Dic3—41no—
649Dic3—41no—
650Dic3—41no—
651Dic3—61no—
652Dic3—61no—
653Dic3—61no—
654Dic3—61no—
655Dic3—121no—
656Dic3—121no—
657Dic3—121no—
658Dic3—121no—
659Dic3—241no—
660C32#318311yescharacteristic, complemented, Sylow
661C23—21no—
662C23—31no—
663C23—181no—
664Q8—61no—
665Q8—61no—
666Q8—61no—
667Q8—61no—
668D4—21no—
669D4—21no—
670D4—122no—
671D4—181no—
672D4—181no—
673D4—362no—
674C2×C4—21no—
675C2×C4—31no—
676C2×C4—31no—
677C2×C4—31no—
678C2×C4—61no—
679C2×C4—61no—
680C2×C4—61no—
681C2×C4—61no—
682C2×C4—61no—
683C2×C4—61no—
684C2×C4—91no—
685C2×C4—91no—
686C2×C4—181no—
687C2×C4—362no—
688C2×C4—361no—
689C2×C4—361no—
690C2×C4—362no—
691C2×C4C22×D3211yescharacteristic
692C8—21no—
693C8—32no—
694C8—61no—
695C8—92no—
696C2×C3—21no—
697C2×C3—21no—
698C2×C3—21no—
699C2×C3—82no—
700C2×C3—81no—
701C2×C3—81no—
702C2×C3—121no—
703C2×C3#559611yescharacteristic
704C2×C3#566811yescharacteristic
705C2×C3#576811yescharacteristic
706C2×C3#576811yescharacteristic
707C2×C3#577311yescharacteristic
708C2×C3#577711yescharacteristic
709D3—41no—
710D3—242no—
711D3—241no—
712D3—241no—
713C22—41no—
714C22—41no—
715C22—41no—
716C22—61no—
717C22—61no—
718C22—61no—
719C22—361no—
720C22—361no—
721C22—361no—
722C22D32×D411yescharacteristic
723C4—41no—
724C4—61no—
725C4—61no—
726C4—61no—
727C4—121no—
728C4—121no—
729C4—121no—
730C4—121no—
731C4—181no—
732C4—181no—
733C4—361no—
734C4#6430611yescharacteristic
735C4D3×#23711yescharacteristic
736C3—21no—
737C3#8079111yescharacteristic, complemented
738C3#8163111yescharacteristic, complemented
739C2—81no—
740C2—121no—
741C2—721no—
742C2#1059406111yescharacteristic
743C2#1059472911yescharacteristic
744C2#1059474611yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#102C22
socleC22×C32C22×D4
prime radical#10591453C2
hypercenter#102D32
hypocenterC32#3183
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #102

Complements

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

NH ≅ G/Ntype
1. #10595173C2semidirect
2. #10594453C2semidirect
3. #10592484C2semidirect
4. C3×#4780C2semidirect
5. C3×#4768C2semidirect
6. #10591473C2semidirect
8. #10591446C2semidirect
9. #10590872C2semidirect
10. #10590850C2semidirect
11. #10590791C2semidirect
12. Dic3×ΓL(1,𝔽25)C2semidirect
13. #10590520C2semidirect
14. #10590484C2semidirect
15. #10590413C2semidirect
87. #4780D3semidirect
88. #4768D3semidirect
660. C32#3183semidirect
737. C3#80791semidirect
738. C3#81631semidirect

Maximal subgroups

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

subgroupindex
#105951732
#105944532
#105924842
C3×#47802
C3×#47682
#105914732
#105914532
#105914462
#105908722
#105908502
#105907912
Dic3×ΓL(1,𝔽25)2
#105905202
#105904842
#105904132
#816313
#807913