Finite Group Databasebeta

← #11876943

Subgroups — #11876943

Order 1152.

788 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10593976C211yesmaximal, characteristic, complemented
2#10593921C211yesmaximal, characteristic, complemented
3#10592396C211yesmaximal, characteristic, complemented
4C3×#4697C211yesmaximal, characteristic, complemented
5C3×C4×ΓL(1,𝔽25)C211yesmaximal, characteristic, complemented
6#10590850C211yesmaximal, characteristic, complemented
7#10590849C211yesmaximal, characteristic, complemented
8#10590828C211yesmaximal, characteristic, complemented
9#10590827C211yesmaximal, characteristic
10#10590795C211yesmaximal, characteristic, complemented
11#10590794C211yesmaximal, characteristic, complemented
12#10590747C211yesmaximal, characteristic, complemented
13#10590746C211yesmaximal, characteristic, complemented
14#10590370C211yesmaximal, characteristic, complemented
15#10590304C211yesmaximal, characteristic, complemented
16#81631—31nomaximal
17#78534—31nomaximal
18#64084C2211yescharacteristic
19#64079C2211yescharacteristic
20C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
21C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
22C3×#875C2211yescharacteristic
23C3×C42×D3C2211yescharacteristic
24C3×#870C2211yescharacteristic
25#63909C2211yescharacteristic
26#63908C2211yescharacteristic
27#63905—21no—
28#63904—21no—
29#63894C2211yescharacteristic
30Dic3×D12C2211yescharacteristic
31#63879—21no—
32#63877—21no—
33#63868—21no—
34#63859—21no—
35#63857C2211yescharacteristic
36#63856C2211yescharacteristic
37#63850—21no—
38#63844C2211yescharacteristic
39Dic3×Dic6C2211yescharacteristic
40#63836—21no—
41C2×#3719C2211yescharacteristic
42C2×#3717C2211yescharacteristic
43C2×#3716C2211yescharacteristic
44C2×#3714C2211yescharacteristic
45C32×C4×C8C2211yescharacteristic
46#63648C2211yescharacteristic
47#63648C2211yescharacteristic
48#63643C2211yescharacteristic
49#63643C2211yescharacteristic
50C3×#821C2211yescharacteristic
51C3×#821C2211yescharacteristic
52C3×#816C2211yescharacteristic
53C3×#816C2211yescharacteristic
54C3×#815C2211yescharacteristic
55C3×#815C2211yescharacteristic
56C3×C4×C3⋊C8C2211yescharacteristic
57#63575C2211yescharacteristic
58#63575C2211yescharacteristic
59#63573C2211yescharacteristic
60#63573C2211yescharacteristic
61#5691—31no—
62#5680—31no—
63#5479—31no—
64#5479—31no—
65C3×#488—31no—
66C3×C4×M16—31no—
67#5137—31no—
68#5135—31no—
69#5134—31no—
70#5134—31no—
71#5065—31no—
72#5059—31no—
73#4817—31no—
74#4816—31no—
75#4812—31no—
76#4789—31no—
77#4785—31no—
78#4782—31no—
79#4780—31no—
80#4757—31no—
81#4716—31no—
82#4711—31no—
83#4710—31no—
84#4710—31no—
85#4697—31no—
86#4697—31no—
87#4697—61no—
88#4697D311yescharacteristic, complemented
89#4696—31no—
90C4×ΓL(1,𝔽25)D311yescharacteristic, complemented
91#4683—31no—
92C2×C4⋊(C3⋊D3)C2311yescharacteristic
93C2×#634C2311yescharacteristic
94C2×C3×D12C2311yescharacteristic
95C2×C3×C4×D3D411yescharacteristic
96C2×C3×C4×D3D411yescharacteristic
97C2×C3×C4×D3C2311yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99C2×#626—21no—
100C2×#625—21no—
101C2×#624—21no—
102C2×D3×Dic3—21no—
103C2×C32×C8C2311yescharacteristic
104C2×C32×C8C2311yescharacteristic
105C32×C42C2311yescharacteristic
106#3752—21no—
107#3752—21no—
108C4⋊(C3⋊Dic3)C2311yescharacteristic
109C4⋊(C3⋊Dic3)C2311yescharacteristic
110#3750—21no—
111#3750—21no—
112C3×(C2×D3)⋊C4—21no—
113C3×(C2×D3)⋊C4—21no—
114C3×C4⋊Dic3C2311yescharacteristic
115C3×C4⋊Dic3C2311yescharacteristic
116C3×Dic3⋊C4—21no—
117C3×Dic3⋊C4—21no—
118C3×C4×Dic3D411yescharacteristic
119C3×C4×Dic3D411yescharacteristic
120C3×C4×Dic3C2311yescharacteristic
121C2×C3×C3⋊C8C2311yescharacteristic
122C2×C3×C3⋊C8C2311yescharacteristic
123C3×ΓL(1,𝔽25)—22no—
124C3×ΓL(1,𝔽25)—22no—
125#3724—21no—
126#3724—21no—
127Dic3⋊Dic3—21no—
128Dic3⋊Dic3—21no—
129#3722—21no—
130#3722—21no—
131(C2×D3)⋊Dic3—21no—
132(C2×D3)⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135Dic32—21no—
136Dic32—21no—
137#3719—22no—
138#3717—22no—
139#3716—22no—
140#3714—22no—
141#3183—91noSylow
142C2×C3×M16—31no—
143C2×C3×M16—31no—
144C3×#125—31no—
145C3×#124—31no—
146C2×C3×C42—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—
155#930—31no—
156#930—31no—
157#929—61no—
158#929—61no—
159C4×#67—61no—
160C4×#67—61no—
161#924—31no—
162#924—31no—
163C2×Dic12—31no—
164C2×D24—31no—
165C2×#204—31no—
166C2×#204—31no—
167C2×ΓL(1,𝔽25)C2×D311yescharacteristic
168C2×ΓL(1,𝔽25)C2×D311yescharacteristic
169#898—61no—
170#897—31no—
171#895—31no—
172#894—61no—
173#893—31no—
174#893—61no—
175#892—61no—
176#887—31no—
177#883—61no—
178#67⋊C4—61no—
179#879—61no—
180#877—61no—
181#876—61no—
182#876—61no—
183#875—31no—
184#875—31no—
185#875—61no—
186#875C2×D311yescharacteristic
187C4×D12—31no—
188C4×D12—31no—
189#872—61no—
190#872—61no—
191C42×D3C2×D311yescharacteristic
192#870—31no—
193#870—31no—
194#870—61no—
195#870C2×D311yescharacteristic
196C4×Dic6—31no—
197C4×Dic6—31no—
198C3×#103—31no—
199C3×#103—31no—
200C3×#102—31no—
201C3×#102—31no—
202C3×#97—31no—
203C3×#97—31no—
204C3×C4×C8—21no—
205C3×C4×C8—31no—
206C3×C4×C8C2×D311yescharacteristic
207C3×C4×C8C2×D311yescharacteristic
208#821—31no—
209#821—31no—
210#821—31no—
211#821—31no—
212#821—61no—
213#821—61no—
214#821C2×D311yescharacteristic
215#821C2×D311yescharacteristic
216#818—31no—
217#818—31no—
218#817—31no—
219#817—31no—
220#816—31no—
221#816—31no—
222#816—31no—
223#816—31no—
224#816—61no—
225#816—61no—
226#816C2×D311yescharacteristic
227#816C2×D311yescharacteristic
228#815C2×D311yescharacteristic
229#815C2×D311yescharacteristic
230#808—31no—
231#808—31no—
232#807—31no—
233#807—31no—
234C4×C3⋊C8C2×D311yescharacteristic
235C22×C3⋊D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C2×C32×C4C2×D411yescharacteristic
239C2×C32×C4C2×D411yescharacteristic
240C2×C32×C4C2411yescharacteristic
241C2×C3⋊Dic3—21no—
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3—21no—
244C4⋊(C3⋊D3)—21no—
245C4⋊(C3⋊D3)—21no—
246#634—21no—
247#634—21no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C3×D12—21no—
255C3×D12—21no—
256C3×C4×D3—21no—
257C3×C4×D3—21no—
258C3×C4×D3—41no—
259C3×C4×D3—41no—
260C3×Dic6—21no—
261C3×Dic6—21no—
262#626—42no—
263#625—42no—
264#624—42no—
265D3×Dic3—42no—
266C32×C8—21no—
267C32×C8—21no—
268C3×C3⋊C8#4112yes—
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—91no—
279#468—91no—
280#442—91no—
281#441—91no—
282#440—91no—
283#440—91no—
284C4×M16—31no—
285C2×C3×Q8—31no—
286C2×C3×D4—31no—
287C22×C3×C4—31no—
288C22×C3×C4—31no—
289C22×C3×C4—31no—
290C2×#67—61no—
291C2×#67—61no—
292C2×#67—61no—
293C22×Dic3—61no—
294C2×D12—31no—
295C2×D12—31no—
296C2×D12—61no—
297C2×D12—61no—
298C2×D12C22×D311yescharacteristic
299C2×C4×D3—61no—
300C2×C4×D3—61no—
301C2×C4×D3—61no—
302C2×C4×D3D1211yescharacteristic
303C2×C4×D3D1211yescharacteristic
304C2×C4×D3C22×D311yescharacteristic
305C2×Dic6—31no—
306C2×Dic6—31no—
307C2×Dic6—61no—
308C2×Dic6C22×D311yescharacteristic
309C3×M16—62no—
310C3×M16—62no—
311C2×C3×C8—21no—
312C2×C3×C8—21no—
313C2×C3×C8—31no—
314C2×C3×C8—31no—
315C2×C3×C8C22×D311yescharacteristic
316C2×C3×C8C22×D311yescharacteristic
317C2×C3×C8C22×D311yescharacteristic
318C2×C3×C8C22×D311yescharacteristic
319C3×C4⋊C4—31no—
320C3×C4⋊C4—31no—
321C3×C4⋊C4—61no—
322C3×C4⋊C4—61no—
323C3×C22⋊C4—61no—
324C3×C22⋊C4—61no—
325C3×C42—21no—
326C3×C42—31no—
327C3×C42—31no—
328C3×C42—31no—
329C3×C42C22×D311yescharacteristic
330C3×C42C22×D311yescharacteristic
331#217—61no—
332#217—61no—
333#217—61no—
334#217—61no—
335#216—62no—
336#215—62no—
337#214—62no—
338#213—62no—
339(C2×D3)⋊C4—21no—
340(C2×D3)⋊C4—21no—
341(C2×D3)⋊C4—61no—
342(C2×D3)⋊C4—61no—
343(C2×D3)⋊C4—61no—
344(C2×D3)⋊C4—61no—
345(C2×D3)⋊C4—61no—
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—121no—
354(C2×D3)⋊C4—121no—
355C4⋊Dic3—31no—
356C4⋊Dic3—31no—
357C4⋊Dic3—31no—
358C4⋊Dic3—31no—
359C4⋊Dic3—61no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3C22×D311yescharacteristic
364C4⋊Dic3C22×D311yescharacteristic
365Dic3⋊C4—21no—
366Dic3⋊C4—21no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—121no—
378Dic3⋊C4—121no—
379C4×Dic3—61no—
380C4×Dic3—61no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3D1211yescharacteristic
384C4×Dic3D1211yescharacteristic
385C4×Dic3C22×D311yescharacteristic
386C2×C3⋊C8C22×D311yescharacteristic
387C2×C3⋊C8C22×D311yescharacteristic
388Dic12—62no—
389D24—62no—
390#204—62no—
391#204—62no—
392ΓL(1,𝔽25)—22no—
393ΓL(1,𝔽25)—22no—
394C22×C32C22×D411yescharacteristic
395C2×C3⋊D3—41no—
396C2×C3⋊D3—41no—
397C2×C3⋊D3—41no—
398C2×C3×D3—21no—
399C2×C3×D3—21no—
400C2×C3×D3—21no—
401C2×C3×D3—41no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C32×C4—21no—
405C32×C4—21no—
406C32×C4C2×#4111yescharacteristic
407C32×C4C2×#4111yescharacteristic
408C3⋊Dic3—41no—
409C3⋊Dic3—41no—
410C3⋊Dic3—41no—
411C3×Dic3—21no—
412C3×Dic3—21no—
413C3×Dic3—21no—
414C3×Dic3—41no—
415C3×Dic3—41no—
416C3×Dic3—41no—
417C2×Q16—91no—
418C2×SD16—91no—
419C2×SD16—91no—
420C2×D8—91no—
421C2×M16—31no—
422C2×M16—31no—
423#126—181no—
424#126—181no—
425#125—31no—
426#125—91no—
427#124—31no—
428#124—91no—
429#123—181no—
430#123—181no—
431C22⋊Q8—91no—
432C22⋊Q8—91no—
433#121—91no—
434#121—91no—
435C4×Q8—91no—
436C4×Q8—91no—
437C4×D4—91no—
438C4×D4—91no—
439C4×D4—181no—
440C4×D4—181no—
441#117—181no—
442#117—181no—
443C2×C42—31no—
444#107—91no—
445#107—91no—
446#106—91no—
447#106—91no—
448#103—31no—
449#103—31no—
450#103—91no—
451#103—91no—
452#102—31no—
453#102—31no—
454#102—91no—
455#102—91no—
456#97—31no—
457#97—31no—
458C4×C8—31no—
459C4×C8D3211yescharacteristic
460C23×C3—31no—
461C23×C3—61no—
462C22×D3—21no—
463C22×D3—61no—
464C22×D3—61no—
465C22×D3—121no—
466C22×D3C2×D1211yescharacteristic
467C3×Q8—61no—
468C3×Q8—61no—
469C3×D4—61no—
470C3×D4—61no—
471C2×C3×C4—21no—
472C2×C3×C4—21no—
473C2×C3×C4—21no—
474C2×C3×C4—31no—
475C2×C3×C4—31no—
476C2×C3×C4—31no—
477C2×C3×C4—61no—
478C2×C3×C4—61no—
479C2×C3×C4—61no—
480C2×C3×C4—61no—
481C2×C3×C4—61no—
482C2×C3×C4—121no—
483C2×C3×C4—121no—
484C2×C3×C4C2×D1211yescharacteristic
485C2×C3×C4C2×D1211yescharacteristic
486C2×C3×C4D3×D411yescharacteristic
487C2×C3×C4D3×D411yescharacteristic
488C2×C3×C4C23×D311yescharacteristic
489C2×C3×C4C23×D311yescharacteristic
490#67—122no—
491#67—122no—
492#67—122no—
493C2×Dic3—21no—
494C2×Dic3—21no—
495C2×Dic3—21no—
496C2×Dic3—61no—
497C2×Dic3—61no—
498C2×Dic3—61no—
499C2×Dic3—61no—
500C2×Dic3—61no—
501C2×Dic3—61no—
502C2×Dic3—121no—
503C2×Dic3—121no—
504C2×Dic3—121no—
505C2×Dic3—122no—
506C2×Dic3C2×D1211yescharacteristic
507C2×Dic3C2×D1211yescharacteristic
508C2×Dic3C2×D1211yescharacteristic
509D12—21no—
510D12—21no—
511D12—61no—
512D12—61no—
513D12—61no—
514D12—61no—
515D12—121no—
516D12—121no—
517D12—122no—
518C4×D3—21no—
519C4×D3—21no—
520C4×D3—41no—
521C4×D3—41no—
522C4×D3—122no—
523C4×D3—122no—
524C4×D3—122no—
525Dic6—21no—
526Dic6—21no—
527Dic6—61no—
528Dic6—61no—
529Dic6—61no—
530Dic6—61no—
531Dic6—121no—
532Dic6—121no—
533C3×C8—21no—
534C3×C8—21no—
535C3×C8—21no—
536C3×C8—21no—
537C3×C8—32no—
538C3×C8—32no—
539C3×C8—41no—
540C3×C8—41no—
541C3⋊C8#23512yes—
542C3⋊C8#23512yes—
543C2×C32#53211yescharacteristic
544C2×C32#57511yescharacteristic
545C2×C32#57511yescharacteristic
546C3⋊D3—81no—
547C3×D3—41no—
548C3×D3—81no—
549C2×Q8—31no—
550C2×Q8—91no—
551C2×D4—31no—
552C2×D4—91no—
553C2×D4—181no—
554C2×D4—181no—
555C22×C4—31no—
556C22×C4—31no—
557C22×C4—31no—
558C22×C4—181no—
559C22×C4—181no—
560Q16—182no—
561SD16—182no—
562SD16—182no—
563D8—182no—
564M16—62no—
565M16—62no—
566C2×C8—31no—
567C2×C8—31no—
568C2×C8C2×D3211yescharacteristic
569C2×C8C2×D3211yescharacteristic
570C4⋊C4—31no—
571C4⋊C4—31no—
572C4⋊C4—61no—
573C4⋊C4—61no—
574C4⋊C4—91no—
575C4⋊C4—91no—
576C4⋊C4—181no—
577C4⋊C4—181no—
578C4⋊C4—181no—
579C4⋊C4—181no—
580C4⋊C4—181no—
581C4⋊C4—181no—
582C22⋊C4—61no—
583C22⋊C4—61no—
584C22⋊C4—181no—
585C22⋊C4—181no—
586C22⋊C4—181no—
587C22⋊C4—181no—
588C22⋊C4—181no—
589C22⋊C4—181no—
590C22⋊C4—181no—
591C22⋊C4—181no—
592C42—31no—
593C42—31no—
594C42—31no—
595C42—181no—
596C42—181no—
597C42C2×D3211yescharacteristic
598C22×C3—21no—
599C22×C3—61no—
600C22×C3—61no—
601C22×C3—61no—
602C22×C3—121no—
603C22×C3—121no—
604C22×C3—121no—
605C22×C3C22×D1211yescharacteristic
606C22×C3C2×D3×D411yescharacteristic
607C2×D3—21no—
608C2×D3—21no—
609C2×D3—21no—
610C2×D3—41no—
611C2×D3—41no—
612C2×D3—41no—
613C2×D3—121no—
614C2×D3—121no—
615C2×D3—121no—
616C2×D3—121no—
617C2×D3—121no—
618C2×D3—121no—
619C2×D3—241no—
620C2×D3—241no—
621C2×D3—241no—
622C3×C4—21no—
623C3×C4—21no—
624C3×C4—21no—
625C3×C4—21no—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—41no—
629C3×C4—41no—
630C3×C4—61no—
631C3×C4—61no—
632C3×C4—61no—
633C3×C4—121no—
634C3×C4—121no—
635C3×C4—121no—
636C3×C4C2×#23511yescharacteristic
637C3×C4C2×#23511yescharacteristic
638C3×C4D3×#4111yescharacteristic
639C3×C4D3×#4111yescharacteristic
640Dic3—21no—
641Dic3—21no—
642Dic3—21no—
643Dic3—41no—
644Dic3—41no—
645Dic3—41no—
646Dic3—121no—
647Dic3—121no—
648Dic3—121no—
649Dic3—121no—
650Dic3—121no—
651Dic3—121no—
652Dic3—241no—
653Dic3—241no—
654Dic3—241no—
655C32#318311yescharacteristic, complemented, Sylow
656C23—31no—
657C23—61no—
658C23—181no—
659Q8—61no—
660Q8—61no—
661Q8—181no—
662Q8—181no—
663D4—61no—
664D4—61no—
665D4—181no—
666D4—181no—
667D4—362no—
668D4—362no—
669C2×C4—31no—
670C2×C4—31no—
671C2×C4—31no—
672C2×C4—61no—
673C2×C4—61no—
674C2×C4—61no—
675C2×C4—61no—
676C2×C4—61no—
677C2×C4—121no—
678C2×C4—121no—
679C2×C4—181no—
680C2×C4—181no—
681C2×C4—181no—
682C2×C4—362no—
683C2×C4—362no—
684C2×C4D3×D1211yescharacteristic
685C2×C4D3×D1211yescharacteristic
686C2×C4C22×D3211yescharacteristic
687C8—21no—
688C8—21no—
689C8—32no—
690C8—32no—
691C2×C3—21no—
692C2×C3—21no—
693C2×C3—21no—
694C2×C3—121no—
695C2×C3—241no—
696C2×C3#547711yescharacteristic
697C2×C3#566811yescharacteristic
698C2×C3#574811yescharacteristic
699C2×C3#574811yescharacteristic
700C2×C3#576811yescharacteristic
701C2×C3#576811yescharacteristic
702D3—41no—
703D3—81no—
704D3—241no—
705D3—241no—
706D3—481no—
707C22—61no—
708C22—61no—
709C22—61no—
710C22—121no—
711C22—121no—
712C22—121no—
713C22—361no—
714C22—361no—
715C22—361no—
716C22C2×D3×D1211yescharacteristic
717C4—21no—
718C4—21no—
719C4—61no—
720C4—61no—
721C4—61no—
722C4—121no—
723C4—121no—
724C4—121no—
725C4—361no—
726C4—361no—
727C4—361no—
728C4D3×#23511yescharacteristic
729C4D3×#23511yescharacteristic
730C3—21no—
731C3#7853411yescharacteristic, complemented
732C3#8163111yescharacteristic, complemented
733C2—121no—
734C2—241no—
735C2—721no—
736C2#1059396911yescharacteristic
737C2#1059467611yescharacteristic
738C2#1059467611yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×C8C22
socleC22×C32C22×D4
prime radical#10590827C2
hypercenterC4×C8D32
hypocenterC32#3183
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×C8

Complements

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

NH ≅ G/Ntype
1. #10593976C2semidirect
2. #10593921C2semidirect
3. #10592396C2semidirect
4. C3×#4697C2semidirect
5. C3×C4×ΓL(1,𝔽25)C2semidirect
6. #10590850C2semidirect
7. #10590849C2semidirect
8. #10590828C2semidirect
10. #10590795C2semidirect
11. #10590794C2semidirect
12. #10590747C2semidirect
13. #10590746C2semidirect
14. #10590370C2semidirect
15. #10590304C2semidirect
88. #4697D3semidirect
90. C4×ΓL(1,𝔽25)D3semidirect
655. C32#3183semidirect
731. C3#78534semidirect
732. C3#81631semidirect

Maximal subgroups

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

subgroupindex
#105939762
#105939212
#105923962
C3×#46972
C3×C4×ΓL(1,𝔽25)2
#105908502
#105908492
#105908282
#105908272
#105907952
#105907942
#105907472
#105907462
#105903702
#105903042
#816313
#785343