Finite Group Databasebeta

← #11876941

Subgroups — #11876941

Order 1152.

800 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595377C211yesmaximal, characteristic, complemented
2#10594453C211yesmaximal, characteristic, complemented
3#10592516C211yesmaximal, characteristic, complemented
4C3×#4816C211yesmaximal, characteristic, complemented
5C3×#4800C211yesmaximal, characteristic, complemented
6#10591609C211yesmaximal, characteristic, complemented
7#10591589C211yesmaximal, characteristic, complemented
8#10591582C211yesmaximal, characteristic, complemented
9#10590872C211yesmaximal, characteristic, complemented
10#10590827C211yesmaximal, characteristic
11#10590743C211yesmaximal, characteristic, complemented
12Dic3×ΓL(1,𝔽25)C211yesmaximal, characteristic, complemented
13#10590503C211yesmaximal, characteristic, complemented
14#10590462C211yesmaximal, characteristic, complemented
15#10590414C211yesmaximal, characteristic, complemented
16#81631—31nomaximal
17#80892—31nomaximal
18Q8×C3⋊Dic3C2211yescharacteristic
19C2×#3755C2211yescharacteristic
20#64102C2211yescharacteristic
21C3×#947C2211yescharacteristic
22C3×#946C2211yescharacteristic
23C2×C3×#216C2211yescharacteristic
24C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
25C3×#897C2211yescharacteristic
26C3×#890C2211yescharacteristic
27#63909C2211yescharacteristic
28#63908C2211yescharacteristic
29#63902—21no—
30#63898C2211yescharacteristic
31#63891—21no—
32#63890—21no—
33#63881—21no—
34#63878—21no—
35C4×D3×Dic3C2211yescharacteristic
36#63869C2211yescharacteristic
37#63864C2211yescharacteristic
38#63861—21no—
39#63849—21no—
40#63848—21no—
41#63843C2211yescharacteristic
42C2×#3715C2211yescharacteristic
43C2×#3714C2211yescharacteristic
44C2×#3711C2211yescharacteristic
45C32×#103C2211yescharacteristic
46#63648C2211yescharacteristic
47#63642C2211yescharacteristic
48#63634C2211yescharacteristic
49C3×#835C2211yescharacteristic
50C3×#821C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×C8×Dic3C2211yescharacteristic
53C3×#809C2211yescharacteristic
54C3×#808C2211yescharacteristic
55#63576C2211yescharacteristic
56#63573C2211yescharacteristic
57#63566C2211yescharacteristic
58#63564C2211yescharacteristic
59#63555C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5691—31no—
62#5680—31no—
63#5624—31no—
64#5624—31no—
65C3×#488—31no—
66C3×#470—31no—
67#5191—31no—
68#5184—31no—
69#5135—31no—
70Dic3×M16—31no—
71#5065—31no—
72#5059—31no—
73#5049—31no—
74#5049—31no—
75#4869—31no—
76#4858—31no—
77#4817—31no—
78#4817—31no—
79#4817—31no—
80#4817—61no—
81#4816D311yescharacteristic, complemented
82#4812—31no—
83#4800—31no—
84#4800D311yescharacteristic, complemented
85#4789—31no—
86#4785—31no—
87#4782—31no—
88#4780—31no—
89#4757—31no—
90#4697—31no—
91C4×ΓL(1,𝔽25)—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×C4×C3⋊D3—21no—
95C2×C3×D12C2311yescharacteristic
96C2×C3×C4×D3C2311yescharacteristic
97C2×C3×Dic6C2311yescharacteristic
98C2×#626—21no—
99C2×#625—21no—
100C2×D3×Dic3—21no—
101C2×D3×Dic3D411yescharacteristic
102C2×D3×Dic3D411yescharacteristic
103C2×C32×C8C2311yescharacteristic
104C32×C4⋊C4C2311yescharacteristic
105#3755—22no—
106#3752—21no—
107C4⋊(C3⋊Dic3)—21no—
108C4⋊(C3⋊Dic3)C2311yescharacteristic
109C4×C3⋊Dic3—21no—
110C4×C3⋊Dic3C2311yescharacteristic
111C2×C3⋊(C3⋊C8)C2311yescharacteristic
112C3×#216—22no—
113C3×(C2×D3)⋊C4—21no—
114C3×(C2×D3)⋊C4—21no—
115C3×(C2×D3)⋊C4—21no—
116C3×(C2×D3)⋊C4—21no—
117C3×C4⋊Dic3—21no—
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3C2311yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×Dic3⋊C4—21no—
122C3×Dic3⋊C4—21no—
123C3×C4×Dic3C2311yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C3×ΓL(1,𝔽25)—22no—
127#3724—21no—
128Dic3⋊Dic3—21no—
129Dic3⋊Dic3—21no—
130#3722—21no—
131#3722—21no—
132#3722—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135Dic32—21no—
136Dic32D411yescharacteristic
137Dic32D411yescharacteristic
138#3715—22no—
139#3714—22no—
140#3711—22no—
141#3183—91noSylow
142C2×C3×Q16—31no—
143C2×C3×M16—31no—
144C3×#125—31no—
145C3×#124—31no—
146C3×C22⋊Q8—31no—
147C3×C22⋊Q8—31no—
148#947—31no—
149#947C2×D311yescharacteristic
150#946C2×D311yescharacteristic
151Q8×Dic3—31no—
152Q8×Dic3—31no—
153Q8×Dic3—31no—
154Q8×Dic3—61no—
155C2×#216C2×D311yescharacteristic
156C2×#215—31no—
157C2×#215—31no—
158C2×#215—31no—
159C2×#215—61no—
160#938—31no—
161D4×Dic3—31no—
162C2×#214—31no—
163C2×#213—31no—
164#930—31no—
165#930—31no—
166C2×C4×Dic3—31no—
167C2×#208—31no—
168C2×D24—31no—
169C2×ΓL(1,𝔽25)—31no—
170C2×ΓL(1,𝔽25)C2×D311yescharacteristic
171#898—61no—
172#898—61no—
173#898—61no—
174#897C2×D311yescharacteristic
175#895—31no—
176#894—61no—
177#893—31no—
178#893—31no—
179#893—31no—
180#893—61no—
181#893—61no—
182#892—61no—
183#892—61no—
184#892—61no—
185#890—31no—
186#890C2×D311yescharacteristic
187#887—31no—
188#886—61no—
189#886—61no—
190#883—61no—
191#67⋊C4—61no—
192#67⋊C4—61no—
193#67⋊C4—61no—
194#879—61no—
195#877—61no—
196#875—31no—
197C42×D3—31no—
198#870—31no—
199C3×#106—31no—
200C3×#103—21no—
201C3×#103—31no—
202C3×#103—31no—
203C3×#103C2×D311yescharacteristic
204C3×#103C2×D311yescharacteristic
205C3×#102—31no—
206C3×#102—31no—
207C3×C4×C8—31no—
208#835—31no—
209#835C2×D311yescharacteristic
210#821—31no—
211#821—31no—
212#821—31no—
213#821—61no—
214#821C2×D311yescharacteristic
215#817—31no—
216#816—31no—
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#809—31no—
226#809C2×D311yescharacteristic
227#808—31no—
228#808C2×D311yescharacteristic
229#807—31no—
230#807—31no—
231#807—31no—
232#807—31no—
233#807—61no—
234C4×C3⋊C8—31no—
235C22×C3⋊D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C32×Q8—21no—
239C32×Q8—21no—
240C2×C32×C4—21no—
241C2×C32×C4—21no—
242C2×C32×C4C2411yescharacteristic
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3C2×D411yescharacteristic
245C2×C3⋊Dic3C2×D411yescharacteristic
246C4⋊(C3⋊D3)—21no—
247C4⋊(C3⋊D3)—21no—
248C4×C3⋊D3—42no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C3×D12—21no—
256C3×D12—21no—
257C3×C4×D3—21no—
258C3×C4×D3—21no—
259C3×Dic6—21no—
260C3×Dic6—21no—
261#626—42no—
262#625—42no—
263D3×Dic3—41no—
264D3×Dic3—41no—
265D3×Dic3—42no—
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—31no—
277#469—91no—
278#468—91no—
279#468—91no—
280#442—91no—
281#441—91no—
282#440—91no—
283#440—91no—
284C4×M16—91no—
285C2×C3×Q8—21no—
286C2×C3×Q8—31no—
287C2×C3×Q8C22×D311yescharacteristic
288C2×C3×Q8C22×D311yescharacteristic
289C2×C3×D4—31no—
290C22×C3×C4—31no—
291C2×#67—61no—
292C2×#67—61no—
293C2×#67—61no—
294C22×Dic3—31no—
295C22×Dic3—31no—
296C22×Dic3—61no—
297C2×D12—31no—
298C2×D12—31no—
299C2×D12—61no—
300C2×D12—61no—
301C2×D12C22×D311yescharacteristic
302C2×C4×D3—31no—
303C2×C4×D3—31no—
304C2×C4×D3—61no—
305C2×C4×D3—61no—
306C2×C4×D3—61no—
307C2×C4×D3—121no—
308C2×C4×D3C22×D311yescharacteristic
309C2×Dic6C22×D311yescharacteristic
310C3×Q16—62no—
311C3×M16—62no—
312C2×C3×C8—21no—
313C2×C3×C8—31no—
314C2×C3×C8—31no—
315C2×C3×C8C22×D311yescharacteristic
316C2×C3×C8C22×D311yescharacteristic
317C3×C4⋊C4—21no—
318C3×C4⋊C4—31no—
319C3×C4⋊C4—31no—
320C3×C4⋊C4—61no—
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—61no—
332#217—61no—
333#216—22no—
334#215—62no—
335#215—62no—
336#215—62no—
337#215—64no—
338#214—62no—
339#213—62no—
340(C2×D3)⋊C4—21no—
341(C2×D3)⋊C4—21no—
342(C2×D3)⋊C4—21no—
343(C2×D3)⋊C4—21no—
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—61no—
354(C2×D3)⋊C4—121no—
355C4⋊Dic3—21no—
356C4⋊Dic3—21no—
357C4⋊Dic3—31no—
358C4⋊Dic3—31no—
359C4⋊Dic3—61no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—121no—
365C4⋊Dic3C22×D311yescharacteristic
366C4⋊Dic3C22×D311yescharacteristic
367Dic3⋊C4—21no—
368Dic3⋊C4—21no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373C4×Dic3—31no—
374C4×Dic3—31no—
375C4×Dic3—31no—
376C4×Dic3—31no—
377C4×Dic3—31no—
378C4×Dic3—31no—
379C4×Dic3—61no—
380C4×Dic3—61no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—121no—
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
392D24—62no—
393ΓL(1,𝔽25)—22no—
394ΓL(1,𝔽25)—62no—
395C22×C32C22×D411yescharacteristic
396C2×C3⋊D3—41no—
397C2×C3⋊D3—41no—
398C2×C3⋊D3—41no—
399C2×C3×D3—21no—
400C2×C3×D3—21no—
401C2×C3×D3—21no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C32×C4—41no—
406C32×C4—41no—
407C32×C4C2×#4111yescharacteristic
408C32×C4C2×#4111yescharacteristic
409C3⋊Dic3—21no—
410C3⋊Dic3—21no—
411C3⋊Dic3—41no—
412C3×Dic3—21no—
413C3×Dic3—21no—
414C3×Dic3—21no—
415C3×Dic3—41no—
416C3×Dic3—41no—
417C3×Dic3—41no—
418C2×Q16—31no—
419C2×SD16—91no—
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—31no—
434#121—91no—
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—91no—
446#107—91no—
447#106—31no—
448#106—91no—
449#103—31no—
450#103—31no—
451#103—91no—
452#103D3211yescharacteristic
453#102—31no—
454#102—31no—
455#102—91no—
456#102—91no—
457#97—91no—
458#97—91no—
459C4×C8—31no—
460C4×C8—91no—
461C23×C3—31no—
462C23×C3—61no—
463C22×D3—21no—
464C22×D3—61no—
465C22×D3—61no—
466C22×D3—121no—
467C22×D3D3×D411yescharacteristic
468C3×Q8—22no—
469C3×Q8—21no—
470C3×Q8—21no—
471C3×Q8—21no—
472C3×Q8—21no—
473C3×Q8—41no—
474C3×Q8—61no—
475C3×Q8—61no—
476C3×D4—61no—
477C3×D4—61no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
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—41no—
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—122no—
496#67—122no—
497#67—122no—
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×Dic3D3×D411yescharacteristic
514C2×Dic3D3×D411yescharacteristic
515C2×Dic3D3×D411yescharacteristic
516D12—21no—
517D12—21no—
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—122no—
532C4×D3—242no—
533Dic6—21no—
534Dic6—21no—
535C3×C8—21no—
536C3×C8—21no—
537C3×C8—32no—
538C3×C8—41no—
539C3×C8—61no—
540C3⋊C8—21no—
541C3⋊C8—32no—
542C3⋊C8—32no—
543C3⋊C8—62no—
544C3⋊C8#23712yes—
545C2×C32#53211yescharacteristic
546C2×C32#57511yescharacteristic
547C2×C32#57511yescharacteristic
548C3⋊D3—81no—
549C3×D3—41no—
550C3×D3—81no—
551C2×Q8—31no—
552C2×Q8C2×D3211yescharacteristic
553C2×D4—31no—
554C2×D4—91no—
555C2×D4—181no—
556C2×D4—181no—
557C22×C4—31no—
558C22×C4—91no—
559C22×C4—91no—
560C22×C4—181no—
561C22×C4—181no—
562Q16—62no—
563SD16—182no—
564SD16—182no—
565D8—182no—
566M16—62no—
567M16—182no—
568C2×C8—31no—
569C2×C8—31no—
570C2×C8—91no—
571C2×C8C2×D3211yescharacteristic
572C4⋊C4—31no—
573C4⋊C4—31no—
574C4⋊C4—61no—
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⋊C4C2×D3211yescharacteristic
584C22⋊C4—61no—
585C22⋊C4—61no—
586C22⋊C4—61no—
587C22⋊C4—61no—
588C22⋊C4—181no—
589C22⋊C4—181no—
590C22⋊C4—181no—
591C22⋊C4—181no—
592C22⋊C4—181no—
593C22⋊C4—181no—
594C42—31no—
595C42—91no—
596C42—91no—
597C42—91no—
598C42—181no—
599C42—181no—
600C22×C3—21no—
601C22×C3—61no—
602C22×C3—61no—
603C22×C3—61no—
604C22×C3—121no—
605C22×C3—121no—
606C22×C3—121no—
607C22×C3C2×D3×D411yescharacteristic
608C22×C3C2×D3×D411yescharacteristic
609C2×D3—21no—
610C2×D3—21no—
611C2×D3—21no—
612C2×D3—41no—
613C2×D3—41no—
614C2×D3—41no—
615C2×D3—122no—
616C2×D3—121no—
617C2×D3—121no—
618C2×D3—121no—
619C2×D3—121no—
620C2×D3—121no—
621C2×D3—121no—
622C2×D3—241no—
623C2×D3—241no—
624C3×C4—21no—
625C3×C4—21no—
626C3×C4—42no—
627C3×C4—41no—
628C3×C4—41no—
629C3×C4—41no—
630C3×C4—41no—
631C3×C4—61no—
632C3×C4—61no—
633C3×C4—61no—
634C3×C4—81no—
635C3×C4—121no—
636C3×C4—121no—
637C3×C4—121no—
638C3×C4C2×#23711yescharacteristic
639C3×C4D3×#4111yescharacteristic
640C3×C4D3×#4111yescharacteristic
641C3×C4D3×#4111yescharacteristic
642Dic3—21no—
643Dic3—21no—
644Dic3—21no—
645Dic3—41no—
646Dic3—41no—
647Dic3—41no—
648Dic3—61no—
649Dic3—61no—
650Dic3—61no—
651Dic3—61no—
652Dic3—121no—
653Dic3—121no—
654Dic3—121no—
655Dic3—121no—
656Dic3—241no—
657C32#318311yescharacteristic, complemented, Sylow
658C23—31no—
659C23—61no—
660C23—181no—
661Q8—21no—
662Q8—21no—
663Q8—61no—
664Q8—61no—
665D4—61no—
666D4—61no—
667D4—181no—
668D4—181no—
669D4—362no—
670D4—362no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—31no—
674C2×C4—31no—
675C2×C4—31no—
676C2×C4—61no—
677C2×C4—61no—
678C2×C4—61no—
679C2×C4—61no—
680C2×C4—61no—
681C2×C4—91no—
682C2×C4—91no—
683C2×C4—181no—
684C2×C4—362no—
685C2×C4—361no—
686C2×C4—361no—
687C2×C4—362no—
688C2×C4C22×D3211yescharacteristic
689C8—21no—
690C8—32no—
691C8—61no—
692C8—92no—
693C2×C3—21no—
694C2×C3—21no—
695C2×C3—21no—
696C2×C3—121no—
697C2×C3—241no—
698C2×C3#559611yescharacteristic
699C2×C3#566811yescharacteristic
700C2×C3#576811yescharacteristic
701C2×C3#576811yescharacteristic
702C2×C3#577711yescharacteristic
703C2×C3#577711yescharacteristic
704D3—41no—
705D3—81no—
706D3—242no—
707D3—241no—
708D3—241no—
709C22—61no—
710C22—61no—
711C22—61no—
712C22—121no—
713C22—121no—
714C22—121no—
715C22—361no—
716C22—361no—
717C22—361no—
718C22D32×D411yescharacteristic
719C4—41no—
720C4—41no—
721C4—61no—
722C4—61no—
723C4—61no—
724C4—121no—
725C4—121no—
726C4—121no—
727C4—181no—
728C4—181no—
729C4—361no—
730C4#6430611yescharacteristic
731C4D3×#23711yescharacteristic
732C3—21no—
733C3#8089211yescharacteristic, complemented
734C3#8163111yescharacteristic, complemented
735C2—121no—
736C2—241no—
737C2—721no—
738C2#1059406111yescharacteristic
739C2#1059474611yescharacteristic
740C2#1059476311yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radical#10590827C2
hypercenter#103D32
hypocenterC32#3183
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #103

Complements

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

NH ≅ G/Ntype
1. #10595377C2semidirect
2. #10594453C2semidirect
3. #10592516C2semidirect
4. C3×#4816C2semidirect
5. C3×#4800C2semidirect
6. #10591609C2semidirect
7. #10591589C2semidirect
8. #10591582C2semidirect
9. #10590872C2semidirect
11. #10590743C2semidirect
12. Dic3×ΓL(1,𝔽25)C2semidirect
13. #10590503C2semidirect
14. #10590462C2semidirect
15. #10590414C2semidirect
81. #4816D3semidirect
84. #4800D3semidirect
657. C32#3183semidirect
733. C3#80892semidirect
734. C3#81631semidirect

Maximal subgroups

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

subgroupindex
#105953772
#105944532
#105925162
C3×#48162
C3×#48002
#105916092
#105915892
#105915822
#105908722
#105908272
#105907432
Dic3×ΓL(1,𝔽25)2
#105905032
#105904622
#105904142
#816313
#808923