Finite Group Databasebeta

← #11887828

Subgroups — #11887828

Order 1152.

817 conjugacy classes of subgroups.

The subgroup lattice has 759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10594525C211yesmaximal, characteristic
2#10594456C211yesmaximal, characteristic, complemented
3#10592556C211yesmaximal, characteristic, complemented
4C3×#4868C211yesmaximal, characteristic, complemented
5C3×#4864C211yesmaximal, characteristic, complemented
6#10590960C211yesmaximal, characteristic, complemented
7#10590796C211yesmaximal, characteristic, complemented
8#10590717C211yesmaximal, characteristic, complemented
9D3×#816C211yesmaximal, characteristic, complemented
10#10590608C211yesmaximal, characteristic, complemented
11#10590604C211yesmaximal, characteristic, complemented
12#10590539C211yesmaximal, characteristic, complemented
13#10590518C211yesmaximal, characteristic, complemented
14#10590482C211yesmaximal, characteristic, complemented
15#10590438C211yesmaximal, characteristic, complemented
16#81524—31nomaximal
17#80690—31nomaximal
18C2×#3795C2211yescharacteristic
19C2×D3×Dic6C2211yescharacteristic
20#64099C2211yescharacteristic
21#64096C2211yescharacteristic
22C2×C3×#204C2211yescharacteristic
23C2×C3×D3×C8C2211yescharacteristic
24C3×#897C2211yescharacteristic
25C3×#897C2211yescharacteristic
26C3×#895C2211yescharacteristic
27C3×#892C2211yescharacteristic
28#63915—21no—
29C4×#625C2211yescharacteristic
30#63899—21no—
31#63898—21no—
32#63891—21no—
33D3×C4⋊Dic3C2211yescharacteristic
34#63885—21no—
35#63877—21no—
36#63869—21no—
37#63863C2211yescharacteristic
38#63858—21no—
39#63856C2211yescharacteristic
40#63843C2211yescharacteristic
41C2×#3719C2211yescharacteristic
42C2×#3718C2211yescharacteristic
43C2×D3×C3⋊C8C2211yescharacteristic
44C32×#106C2211yescharacteristic
45#63643C2211yescharacteristic
46#63641C2211yescharacteristic
47#63637C2211yescharacteristic
48#63634C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×#816C2211yescharacteristic
51C3×#810C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#809C2211yescharacteristic
54C3×#807C2211yescharacteristic
55#63567C2211yescharacteristic
56#63566C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63553C2211yescharacteristic
61#5642—31no—
62#5633—31no—
63#5598—31no—
64#5529—31no—
65C3×#485—31no—
66C3×#465—31no—
67#5173—31no—
68#5166—31no—
69C8×#67—31no—
70C2×#816—31no—
71#5051—31no—
72#5050—31no—
73#5033—31no—
74#5002—31no—
75#4882—31no—
76#4873—31no—
77#4868D311yescharacteristic, complemented
78#4864D311yescharacteristic, complemented
79#4857—31no—
80#4857—31no—
81#4857—61no—
82#4813—31no—
83#4809—31no—
84D3×#103—31no—
85#4800—31no—
86#4798—31no—
87#4790—31no—
88#4772—31no—
89#4768—31no—
90#4733—31no—
91#67⋊C8—31no—
92C2×#634C2311yescharacteristic
93C2×C3×D12—21no—
94C2×C3×D12C2311yescharacteristic
95C2×C3×C4×D3C2311yescharacteristic
96C2×C3×C4×D3C2311yescharacteristic
97C2×C3×Dic6C2311yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99C2×#627—21no—
100C2×#625—21no—
101C2×#625D411yescharacteristic
102C2×D3×Dic3—21no—
103C2×D3×Dic3—21no—
104C2×D3×Dic3—21no—
105#3795—22no—
106#3795—41no—
107D3×Dic6—22no—
108D3×Dic6—41no—
109C2×C32×C8C2311yescharacteristic
110C32×C4⋊C4C2311yescharacteristic
111C32×C4⋊C4C2311yescharacteristic
112C4⋊(C3⋊Dic3)—21no—
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114#3750—21no—
115#3750—21no—
116C4×C3⋊Dic3—21no—
117C4×C3⋊Dic3C2311yescharacteristic
118C2×C3⋊(C3⋊C8)C2311yescharacteristic
119C3×(C2×D3)⋊C4—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×(C2×D3)⋊C4—21no—
122C3×(C2×D3)⋊C4—21no—
123C3×C4⋊Dic3—21no—
124C3×C4⋊Dic3—21no—
125C3×C4⋊Dic3C2311yescharacteristic
126C3×C4×Dic3—21no—
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C3×#204—41no—
130C3×D3×C8—41no—
131#3724—21no—
132#3724D411yescharacteristic
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3D411yescharacteristic
139(C2×D3)⋊Dic3D411yescharacteristic
140Dic32—21no—
141#3719—22no—
142#3718—41no—
143D3×C3⋊C8—41no—
144#3300—91noSylow
145C2×D3×Q8—31no—
146C2×#237—31no—
147C2×#235—31no—
148C22×Dic6—31no—
149C2×C3×SD16—31no—
150C22×C3×C8—31no—
151C3×C22⋊Q8—31no—
152C3×C22⋊Q8—31no—
153C3×#121—31no—
154C3×#117—31no—
155#947—31no—
156#946—31no—
157Q8×Dic3—31no—
158C2×#216—31no—
159C2×#216—31no—
160C2×#216—31no—
161#939—61no—
162#936—31no—
163D4×Dic3—61no—
164C4×#67—31no—
165C4×#67—31no—
166C2×C4⋊Dic3—31no—
167#924—31no—
168C22×C3⋊C8—31no—
169C2×Dic12—31no—
170C2×#204C2×D311yescharacteristic
171C2×D3×C8—31no—
172C2×D3×C8C2×D311yescharacteristic
173#898—61no—
174#897C2×D311yescharacteristic
175#897C2×D311yescharacteristic
176#896—61no—
177#895C2×D311yescharacteristic
178#893—61no—
179#892C2×D311yescharacteristic
180D3×C4⋊C4—31no—
181#890—31no—
182#890—31no—
183#890—61no—
184#890—61no—
185#887—31no—
186#887—31no—
187#887—31no—
188#887—61no—
189#886—61no—
190#885—61no—
191#885—61no—
192#884—61no—
193#883—61no—
194#879—61no—
195#878—61no—
196#877—61no—
197#872—61no—
198#870—61no—
199C3×#107—31no—
200C3×#106—21no—
201C3×#106C2×D311yescharacteristic
202C3×#106C2×D311yescharacteristic
203C3×#103—31no—
204C3×#103—31no—
205C3×#103—31no—
206C3×#102—31no—
207C3×C22⋊C8—31no—
208#835—31no—
209#832—31no—
210#832—31no—
211#830—31no—
212#821—31no—
213(C2×D3)⋊C8—31no—
214(C2×D3)⋊C8C2×D311yescharacteristic
215#816—31no—
216#816—31no—
217#816—31no—
218#816—31no—
219#816—61no—
220#816C2×D311yescharacteristic
221Dic3⋊C8—31no—
222Dic3⋊C8—31no—
223Dic3⋊C8—61no—
224C8×Dic3—31no—
225C8×Dic3—31no—
226#810—31no—
227#810—31no—
228#810—31no—
229#810—61no—
230#810C2×D311yescharacteristic
231#810C2×D311yescharacteristic
232#809—31no—
233#809C2×D311yescharacteristic
234#807—31no—
235#807—31no—
236#807—61no—
237#807C2×D311yescharacteristic
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⋊Dic3—21no—
246C2×C3⋊Dic3C2×D411yescharacteristic
247C2×C3⋊Dic3C2×D411yescharacteristic
248#634—21no—
249#634#4112yes—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C3×D12—21no—
256C3×D12—21no—
257C3×D12—42no—
258C3×C4×D3—21no—
259C3×C4×D3—21no—
260C3×C4×D3—21no—
261C3×C4×D3—21no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6—21no—
266#627—42no—
267#625—22no—
268#625—42no—
269D3×Dic3—42no—
270D3×Dic3—42no—
271D3×Dic3—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—31no—
284#464—91no—
285#452—91no—
286#451—91no—
287C4×Q16—91no—
288C8×D4—91no—
289#416—91no—
290C2×#103—91no—
291C2×C3×Q8—31no—
292C2×C3×Q8—31no—
293C2×C3×D4—31no—
294C2×C3×D4—61no—
295C22×C3×C4—31no—
296C22×C3×C4—31no—
297C2×#67—31no—
298C2×#67—31no—
299C2×#67—61no—
300C2×#67—61no—
301C22×Dic3—61no—
302C22×Dic3—61no—
303C22×Dic3—61no—
304D3×Q8—62no—
305D3×Q8—121no—
306#237—62no—
307#237—121no—
308#235—62no—
309#235—121no—
310C2×D12—21no—
311C2×D12C22×D311yescharacteristic
312C2×C4×D3—61no—
313C2×C4×D3—61no—
314C2×C4×D3—61no—
315C2×C4×D3C22×D311yescharacteristic
316C2×C4×D3C22×D311yescharacteristic
317C2×Dic6—31no—
318C2×Dic6—31no—
319C2×Dic6—61no—
320C2×Dic6—62no—
321C2×Dic6—61no—
322C2×Dic6—61no—
323C2×Dic6—121no—
324C2×Dic6C22×D311yescharacteristic
325C2×Dic6C22×D311yescharacteristic
326C3×SD16—121no—
327C2×C3×C8—21no—
328C2×C3×C8—31no—
329C2×C3×C8—31no—
330C2×C3×C8—121no—
331C2×C3×C8C22×D311yescharacteristic
332C2×C3×C8C22×D311yescharacteristic
333C3×C4⋊C4—21no—
334C3×C4⋊C4—21no—
335C3×C4⋊C4—31no—
336C3×C4⋊C4—61no—
337C3×C4⋊C4—61no—
338C3×C4⋊C4C22×D311yescharacteristic
339C3×C4⋊C4C22×D311yescharacteristic
340C3×C4⋊C4C22×D311yescharacteristic
341C3×C4⋊C4C22×D311yescharacteristic
342C3×C22⋊C4—61no—
343C3×C22⋊C4—61no—
344C3×C22⋊C4—61no—
345C3×C22⋊C4—61no—
346C3×C42—61no—
347#217—31no—
348#217—31no—
349#217—61no—
350#217—61no—
351#217—61no—
352#216—62no—
353#216—121no—
354#216—121no—
355(C2×D3)⋊C4—21no—
356(C2×D3)⋊C4—21no—
357(C2×D3)⋊C4—21no—
358(C2×D3)⋊C4—21no—
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—
364C4⋊Dic3—21no—
365C4⋊Dic3—21no—
366C4⋊Dic3—31no—
367C4⋊Dic3—31no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3—121no—
374C4⋊Dic3C22×D311yescharacteristic
375Dic3⋊C4—31no—
376Dic3⋊C4—31no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—121no—
386Dic3⋊C4—121no—
387C4×Dic3—21no—
388C4×Dic3—31no—
389C4×Dic3—31no—
390C4×Dic3—61no—
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—61no—
395C4×Dic3—121no—
396C2×C3⋊C8—31no—
397C2×C3⋊C8—31no—
398C2×C3⋊C8—61no—
399C2×C3⋊C8—121no—
400C2×C3⋊C8C22×D311yescharacteristic
401C2×C3⋊C8C22×D311yescharacteristic
402Dic12—62no—
403#204—41no—
404D3×C8—41no—
405D3×C8—121no—
406C22×C32C22×D411yescharacteristic
407C2×C3×D3—21no—
408C2×C3×D3—21no—
409C2×C3×D3—21no—
410C2×C3×D3—21no—
411C2×C3×D3—21no—
412C2×C3×D3—41no—
413C2×C3×D3—41no—
414C2×C3×D3—41no—
415C2×C3×D3#13512yes—
416C32×C4—41no—
417C32×C4—41no—
418C32×C4C2×#4111yescharacteristic
419C32×C4H(5,𝔽2)11yescharacteristic
420C3⋊Dic3—22no—
421C3⋊Dic3—21no—
422C3⋊Dic3—21no—
423C3⋊Dic3—41no—
424C3×Dic3—21no—
425C3×Dic3—21no—
426C3×Dic3—41no—
427C3×Dic3—41no—
428C3×Dic3—41no—
429C2×#41—91no—
430C22×Q8—91no—
431C2×Q16—91no—
432C2×Q16—91no—
433C2×SD16—31no—
434C22×C8—31no—
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—31no—
444C22⋊Q8—91no—
445C22⋊Q8—181no—
446#121—31no—
447#121—181no—
448C4×Q8—91no—
449C4×Q8—91no—
450C4×D4—91no—
451C4×D4—181no—
452#117—31no—
453#117—181no—
454C2×C4⋊C4—91no—
455#107—31no—
456#107—91no—
457#106D3211yescharacteristic
458C4⋊C8—91no—
459#103—31no—
460#103—31no—
461#103—31no—
462#103—91no—
463#103—91no—
464#103—91no—
465#103—91no—
466#102—31no—
467#102—91no—
468#102—91no—
469C22⋊C8—31no—
470C22⋊C8—91no—
471C4×C8—91no—
472C23×C3—31no—
473C23×C3—31no—
474C23×C3—61no—
475C22×D3—21no—
476C22×D3D3×D411yescharacteristic
477C22×D3D3×D411yescharacteristic
478C3×Q8—61no—
479C3×Q8—61no—
480C3×Q8—61no—
481C3×Q8—61no—
482C3×D4—61no—
483C3×D4—61no—
484C3×D4—122no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—31no—
491C2×C3×C4—31no—
492C2×C3×C4—41no—
493C2×C3×C4—41no—
494C2×C3×C4—61no—
495C2×C3×C4—61no—
496C2×C3×C4—61no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4C23×D311yescharacteristic
502C2×C3×C4C23×D311yescharacteristic
503#67—62no—
504#67—62no—
505#67—122no—
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—61no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—61no—
519C2×Dic3—61no—
520C2×Dic3—121no—
521C2×Dic3—121no—
522C2×Dic3—122no—
523C2×Dic3—122no—
524C2×Dic3—122no—
525C2×Dic3D3×D411yescharacteristic
526C2×Dic3D3×D411yescharacteristic
527D12—21no—
528D12—21no—
529D12—42no—
530C4×D3—21no—
531C4×D3—21no—
532C4×D3—21no—
533C4×D3—21no—
534C4×D3—122no—
535C4×D3—122no—
536C4×D3—122no—
537Dic6—21no—
538Dic6—21no—
539Dic6—21no—
540Dic6—21no—
541Dic6—32no—
542Dic6—32no—
543Dic6—62no—
544Dic6—61no—
545Dic6—61no—
546Dic6—121no—
547Dic6—122no—
548Dic6—122no—
549C3×C8—21no—
550C3×C8—21no—
551C3×C8—41no—
552C3×C8—61no—
553C3×C8—61no—
554C3⋊C8—21no—
555C3⋊C8—21no—
556C3⋊C8—61no—
557C3⋊C8—61no—
558C3⋊C8—121no—
559C2×C32#54611yescharacteristic
560C2×C32C2×#13511yescharacteristic
561C2×C32#57811yescharacteristic
562C3×D3—22no—
563C3×D3—41no—
564C3×D3—81no—
565#41—182no—
566#41—361no—
567C2×Q8—31no—
568C2×Q8—31no—
569C2×Q8—91no—
570C2×Q8—181no—
571C2×Q8—182no—
572C2×Q8—361no—
573C2×D4—31no—
574C2×D4—61no—
575C2×D4—91no—
576C2×D4—181no—
577C22×C4—31no—
578C22×C4—31no—
579C22×C4—181no—
580C22×C4—181no—
581C22×C4—181no—
582Q16—182no—
583Q16—361no—
584SD16—121no—
585C2×C8—31no—
586C2×C8—31no—
587C2×C8—91no—
588C2×C8—121no—
589C2×C8—361no—
590C2×C8C2×D3211yescharacteristic
591C4⋊C4—31no—
592C4⋊C4—61no—
593C4⋊C4—61no—
594C4⋊C4—91no—
595C4⋊C4—91no—
596C4⋊C4—181no—
597C4⋊C4—181no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4C2×D3211yescharacteristic
603C4⋊C4C2×D3211yescharacteristic
604C22⋊C4—61no—
605C22⋊C4—61no—
606C22⋊C4—61no—
607C22⋊C4—61no—
608C22⋊C4—91no—
609C22⋊C4—91no—
610C22⋊C4—181no—
611C22⋊C4—181no—
612C22⋊C4—181no—
613C42—61no—
614C42—91no—
615C42—181no—
616C42—181no—
617C22×C3—21no—
618C22×C3—32no—
619C22×C3—61no—
620C22×C3—61no—
621C22×C3—61no—
622C22×C3—61no—
623C22×C3—61no—
624C22×C3—121no—
625C22×C3—121no—
626C22×C3—121no—
627C22×C3C2×D3×D411yescharacteristic
628C22×C3C2×D3×D411yescharacteristic
629C2×D3—21no—
630C2×D3—21no—
631C2×D3—21no—
632C2×D3—21no—
633C2×D3—21no—
634C2×D3—41no—
635C2×D3—41no—
636C2×D3—41no—
637C2×D3#91612yes—
638C3×C4—21no—
639C3×C4—21no—
640C3×C4—41no—
641C3×C4—41no—
642C3×C4—41no—
643C3×C4—41no—
644C3×C4—61no—
645C3×C4—61no—
646C3×C4—81no—
647C3×C4—81no—
648C3×C4—121no—
649C3×C4—121no—
650C3×C4—121no—
651C3×C4#100411yescharacteristic
652C3×C4D3×#4111yescharacteristic
653C3×C4D3×#4111yescharacteristic
654C3×C4#100911yescharacteristic
655Dic3—21no—
656Dic3—21no—
657Dic3—41no—
658Dic3—41no—
659Dic3—41no—
660Dic3—62no—
661Dic3—61no—
662Dic3—61no—
663Dic3—61no—
664Dic3—61no—
665Dic3—62no—
666Dic3—122no—
667Dic3—121no—
668Dic3—121no—
669Dic3—121no—
670Dic3—121no—
671Dic3—241no—
672C32#330011yescharacteristic, complemented, Sylow
673C23—31no—
674C23—31no—
675C23—61no—
676Q8—61no—
677Q8—61no—
678Q8—61no—
679Q8—61no—
680Q8—92no—
681Q8—181no—
682Q8—362no—
683D4—61no—
684D4—61no—
685D4—122no—
686D4—182no—
687D4—362no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—31no—
691C2×C4—31no—
692C2×C4—61no—
693C2×C4—61no—
694C2×C4—61no—
695C2×C4—61no—
696C2×C4—61no—
697C2×C4—61no—
698C2×C4—61no—
699C2×C4—91no—
700C2×C4—91no—
701C2×C4—181no—
702C2×C4—181no—
703C2×C4—362no—
704C2×C4—362no—
705C2×C4—362no—
706C2×C4C22×D3211yescharacteristic
707C8—21no—
708C8—61no—
709C8—61no—
710C8—181no—
711C2×C3—21no—
712C2×C3—21no—
713C2×C3—21no—
714C2×C3—62no—
715C2×C3—121no—
716C2×C3—241no—
717C2×C3#561011yescharacteristic
718C2×C3#565411yescharacteristic
719C2×C3C2×#91611yescharacteristic
720C2×C3D3×#13511yescharacteristic
721C2×C3#577111yescharacteristic
722C2×C3#577911yescharacteristic
723D3—22no—
724D3—41no—
725D3—81no—
726C22—32no—
727C22—61no—
728C22—61no—
729C22—61no—
730C22—61no—
731C22—61no—
732C22—121no—
733C22—121no—
734C22—121no—
735C22D32×D411yescharacteristic
736C4—41no—
737C4—41no—
738C4—61no—
739C4—61no—
740C4—121no—
741C4—121no—
742C4—121no—
743C4—182no—
744C4—181no—
745C4—181no—
746C4—361no—
747C4#6430711yescharacteristic
748C4#6431911yescharacteristic
749C3—21no—
750C3#8069011yescharacteristic, complemented
751C3#8152411yescharacteristic, complemented
752C2—62no—
753C2—121no—
754C2—241no—
755C2#1059461711yescharacteristic
756C2D3×#91611yescharacteristic
757C2#1059475611yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#106C22
socleC22×C32C22×D4
prime radical#10594525C2
hypercenter#106D32
hypocenterC32#3300
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #106

Complements

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

NH ≅ G/Ntype
2. #10594456C2semidirect
3. #10592556C2semidirect
4. C3×#4868C2semidirect
5. C3×#4864C2semidirect
6. #10590960C2semidirect
7. #10590796C2semidirect
8. #10590717C2semidirect
9. D3×#816C2semidirect
10. #10590608C2semidirect
11. #10590604C2semidirect
12. #10590539C2semidirect
13. #10590518C2semidirect
14. #10590482C2semidirect
15. #10590438C2semidirect
77. #4868D3semidirect
78. #4864D3semidirect
672. C32#3300semidirect
750. C3#80690semidirect
751. C3#81524semidirect

Maximal subgroups

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

subgroupindex
#105945252
#105944562
#105925562
C3×#48682
C3×#48642
#105909602
#105907962
#105907172
D3×#8162
#105906082
#105906042
#105905392
#105905182
#105904822
#105904382
#815243
#806903