Finite Group Databasebeta

← #11872375

Subgroups — #11872375

Order 1152.

853 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595217C211yesmaximal, characteristic, complemented
2#10594359C211yesmaximal, characteristic, complemented
3#10592457C211yesmaximal, characteristic, complemented
4C3×#4786C211yesmaximal, characteristic, complemented
5C3×#4774C211yesmaximal, characteristic, complemented
6#10591519C211yesmaximal, characteristic, complemented
7#10591439C211yesmaximal, characteristic, complemented
8#10591436C211yesmaximal, characteristic, complemented
9#10590962C211yesmaximal, characteristic, complemented
10#10590814C211yesmaximal, characteristic, complemented
11#10590777C211yesmaximal, characteristic, complemented
12#10590698C211yesmaximal, characteristic, complemented
13#10590542C211yesmaximal, characteristic, complemented
14#10590500C211yesmaximal, characteristic, complemented
15#10590461C211yesmaximal, characteristic, complemented
16#81272—31nomaximal
17#80316—31nomaximal
18C2×#3795C2211yescharacteristic
19D4×C3⋊Dic3C2211yescharacteristic
20C2×#3754C2211yescharacteristic
21#64096C2211yescharacteristic
22C3×#940C2211yescharacteristic
23C3×#938C2211yescharacteristic
24C2×C3×#213C2211yescharacteristic
25C2×C3×D24C2211yescharacteristic
26C3×#893C2211yescharacteristic
27C3×D3×C4⋊C4C2211yescharacteristic
28#63980—21no—
29#63970—21no—
30#63969—21no—
31#63962—21no—
32#63908C2211yescharacteristic
33C4×#625—21no—
34#63898C2211yescharacteristic
35#63898C2211yescharacteristic
36#63879—21no—
37#63878—21no—
38D3×Dic3⋊C4—21no—
39#63869C2211yescharacteristic
40#63855C2211yescharacteristic
41#63844C2211yescharacteristic
42C2×#3716C2211yescharacteristic
43C32×#102C2211yescharacteristic
44#63643C2211yescharacteristic
45C8×C3⋊Dic3C2211yescharacteristic
46#63635C2211yescharacteristic
47C3×#832C2211yescharacteristic
48C3×(C2×D3)⋊C8C2211yescharacteristic
49C3×#818C2211yescharacteristic
50C3×Dic3⋊C8C2211yescharacteristic
51C3×#809C2211yescharacteristic
52C3×#807C2211yescharacteristic
53#63573C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63567C2211yescharacteristic
56#63563C2211yescharacteristic
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63555C2211yescharacteristic
61#5719—31no—
62#5619—31no—
63#5546—31no—
64#5504—31no—
65C3×#480—31no—
66C3×#459—31no—
67#5158—31no—
68#5158—31no—
69#5152—31no—
70Dic3×D8—31no—
71#5075—31no—
72#5037—31no—
73#5009—31no—
74#4968—31no—
75#4891—31no—
76#4889—31no—
77#4877—31no—
78#4872—31no—
79#4840—31no—
80#4829—31no—
81#4786D311yescharacteristic, complemented
82#4785—31no—
83#4777—31no—
84#4774D311yescharacteristic, complemented
85#4762—31no—
86#4758—31no—
87#4758—31no—
88#4758—61no—
89#4757—31no—
90#4734—31no—
91#4720—31no—
92C2×C32×D4C2311yescharacteristic
93C22×C3⋊Dic3—21no—
94C2×#634C2311yescharacteristic
95C2×C3×#67—21no—
96C2×C3×#67—21no—
97C2×C3×#67—21no—
98C2×C3×D12C2311yescharacteristic
99C2×C3×D12C2311yescharacteristic
100C2×C3×C4×D3—21no—
101C2×C3×C4×D3—21no—
102C2×C3×C4×D3C2311yescharacteristic
103C2×#625—21no—
104C2×#625—21no—
105C2×D3×Dic3—21no—
106C2×D3×Dic3—21no—
107C2×D3×Dic3—21no—
108#3795—22no—
109#3795—22no—
110C2×C32×C8C2311yescharacteristic
111C32×C4⋊C4C2311yescharacteristic
112#3757—21no—
113#3754—22no—
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115#3750—21no—
116C4×C3⋊Dic3—21no—
117C4×C3⋊Dic3C2311yescharacteristic
118C2×C3⋊(C3⋊C8)C2311yescharacteristic
119C3×#217—21no—
120C3×#213—22no—
121C3×(C2×D3)⋊C4—21no—
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×Dic3⋊C4—21no—
125C3×C4×Dic3C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C3×D24—22no—
129#3724—21no—
130#3724—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3D411yescharacteristic
133Dic3⋊Dic3D411yescharacteristic
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3D411yescharacteristic
138(C2×D3)⋊Dic3D411yescharacteristic
139Dic32—21no—
140#3716—22no—
141#3119—91noSylow
142C2×#237—31no—
143C2×#235—31no—
144C2×C3×D8—31no—
145C2×C3×D8—31no—
146C3×#127—31no—
147C3×#121—31no—
148C3×C4×D4—31no—
149C2×C3×C4⋊C4—31no—
150#940C2×D311yescharacteristic
151#939—61no—
152#939—61no—
153#939—61no—
154#938—31no—
155#938—61no—
156#938C2×D311yescharacteristic
157#935—61no—
158#935—61no—
159D4×Dic3—31no—
160D4×Dic3—31no—
161D4×Dic3—31no—
162D4×Dic3—31no—
163D4×Dic3—61no—
164C2×#214—31no—
165C2×#214—31no—
166C2×#214—31no—
167C2×#214—61no—
168C2×#213C2×D311yescharacteristic
169#930—31no—
170C4×#67—61no—
171C4×#67—61no—
172C4×#67—61no—
173#926—31no—
174C2×Dic3⋊C4—61no—
175C2×D24C2×D311yescharacteristic
176C2×#204—31no—
177#893—31no—
178#893—31no—
179#893C2×D311yescharacteristic
180#892—61no—
181D3×C4⋊C4—61no—
182D3×C4⋊C4C2×D311yescharacteristic
183#890—31no—
184#887—31no—
185#887—31no—
186#887—31no—
187#887—61no—
188#886—61no—
189#883—61no—
190#67⋊C4—61no—
191#877—61no—
192#872—31no—
193#870—31no—
194C4×Dic6—31no—
195C3×#107—31no—
196C3×#107—31no—
197C3×C4⋊C8—31no—
198C3×#102—21no—
199C3×#102—31no—
200C3×#102—31no—
201C3×#102C2×D311yescharacteristic
202C3×#102C2×D311yescharacteristic
203C3×C22⋊C8—31no—
204#832—31no—
205#832—31no—
206#832—31no—
207#832C2×D311yescharacteristic
208#830—31no—
209#821—31no—
210(C2×D3)⋊C8—31no—
211(C2×D3)⋊C8C2×D311yescharacteristic
212#818C2×D311yescharacteristic
213#817—31no—
214#816—31no—
215#816—31no—
216#816—31no—
217#816—61no—
218#815—31no—
219#815—31no—
220Dic3⋊C8—31no—
221Dic3⋊C8C2×D311yescharacteristic
222C8×Dic3—31no—
223C8×Dic3—31no—
224C8×Dic3—61no—
225#810—31no—
226#809—31no—
227#809—31no—
228#809C2×D311yescharacteristic
229#808—31no—
230#808—31no—
231#808—31no—
232#808—61no—
233#807C2×D311yescharacteristic
234C4⋊(C3⋊C8)—31no—
235C23×C32—21no—
236C22×C3×D3—21no—
237C22×C3×D3—21no—
238C22×C3×D3C2×D411yescharacteristic
239C32×D4—21no—
240C32×D4—21no—
241C2×C32×C4—21no—
242C2×C32×C4C2411yescharacteristic
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—81no—
246C2×C3⋊Dic3C2×D411yescharacteristic
247C2×C3⋊Dic3C2×D411yescharacteristic
248#634—21no—
249#634#4112yes—
250C3×#67—81no—
251C3×#67—81no—
252C3×#67—81no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C3×D12—21no—
259C3×D12—21no—
260C3×D12—21no—
261C3×D12#4112yes—
262C3×C4×D3—21no—
263C3×C4×D3—21no—
264C3×C4×D3—81no—
265C3×C4×D3—81no—
266#625—24no—
267#625—81no—
268D3×Dic3—24no—
269D3×Dic3—81no—
270D3×Dic3—81no—
271C32×C8—21no—
272C3⋊(C3⋊C8)—21no—
273C3×C3⋊C8—21no—
274C3×C3⋊C8—21no—
275#540—91no—
276#520—91no—
277#481—91no—
278#480—31no—
279#479—91no—
280#478—91no—
281#460—91no—
282#459—31no—
283#449—91no—
284#449—91no—
285#442—91no—
286#440—91no—
287C4×SD16—91no—
288C4×D8—91no—
289#433—91no—
290C2×C3×D4—21no—
291C2×C3×D4—31no—
292C2×C3×D4—31no—
293C2×C3×D4—61no—
294C2×C3×D4—61no—
295C2×C3×D4—61no—
296C2×C3×D4C22×D311yescharacteristic
297C2×C3×D4C22×D311yescharacteristic
298C22×C3×C4—31no—
299C22×C3×C4—61no—
300C22×C3×C4—61no—
301C2×#67—21no—
302C2×#67—21no—
303C2×#67—21no—
304C2×#67—61no—
305C2×#67—61no—
306C2×#67—61no—
307C2×#67—61no—
308C22×Dic3—61no—
309C22×Dic3—61no—
310C22×Dic3—61no—
311C22×Dic3—61no—
312C22×Dic3—61no—
313C22×Dic3—121no—
314#237—62no—
315#237—62no—
316#235—62no—
317#235—62no—
318C2×D12C22×D311yescharacteristic
319C2×D12C22×D311yescharacteristic
320C2×C4×D3—21no—
321C2×C4×D3—21no—
322C2×C4×D3—61no—
323C2×C4×D3—61no—
324C2×C4×D3—61no—
325C2×C4×D3C22×D311yescharacteristic
326C2×Dic6—31no—
327C2×Dic6—31no—
328C2×Dic6—61no—
329C3×D8—62no—
330C3×D8—62no—
331C2×C3×C8—21no—
332C2×C3×C8—31no—
333C2×C3×C8—31no—
334C2×C3×C8C22×D311yescharacteristic
335C2×C3×C8C22×D311yescharacteristic
336C3×C4⋊C4—21no—
337C3×C4⋊C4—31no—
338C3×C4⋊C4—31no—
339C3×C4⋊C4—61no—
340C3×C4⋊C4C22×D311yescharacteristic
341C3×C4⋊C4C22×D311yescharacteristic
342C3×C22⋊C4—61no—
343C3×C22⋊C4—61no—
344C3×C42—31no—
345#217—21no—
346#217—31no—
347#217—31no—
348#217—61no—
349#217—61no—
350#217—61no—
351#217—61no—
352#217—61no—
353#217—121no—
354#214—62no—
355#214—62no—
356#214—62no—
357#214—64no—
358#213—22no—
359(C2×D3)⋊C4—21no—
360(C2×D3)⋊C4—31no—
361(C2×D3)⋊C4—31no—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—61no—
364(C2×D3)⋊C4—61no—
365C4⋊Dic3—31no—
366C4⋊Dic3—31no—
367C4⋊Dic3—31no—
368C4⋊Dic3—31no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3C22×D311yescharacteristic
372C4⋊Dic3C22×D311yescharacteristic
373Dic3⋊C4—21no—
374Dic3⋊C4—31no—
375Dic3⋊C4—31no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—121no—
384C4×Dic3—31no—
385C4×Dic3—31no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3—61no—
391C4×Dic3—121no—
392C4×Dic3C22×D311yescharacteristic
393C2×C3⋊C8—31no—
394C2×C3⋊C8—31no—
395C2×C3⋊C8—61no—
396C2×C3⋊C8C22×D311yescharacteristic
397C2×C3⋊C8C22×D311yescharacteristic
398D24—22no—
399#204—62no—
400C22×C32—41no—
401C22×C32—41no—
402C22×C32—41no—
403C22×C32C22×D411yescharacteristic
404C2×C3×D3—22no—
405C2×C3×D3—21no—
406C2×C3×D3—21no—
407C2×C3×D3—21no—
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C2×C3×D3—41no—
411C2×C3×D3—41no—
412C2×C3×D3—41no—
413C32×C4—41no—
414C32×C4C2×#4111yescharacteristic
415C32×C4C2×#4111yescharacteristic
416C3⋊Dic3—21no—
417C3⋊Dic3—22no—
418C3⋊Dic3—21no—
419C3⋊Dic3—41no—
420C3×Dic3—21no—
421C3×Dic3—21no—
422C3×Dic3—21no—
423C3×Dic3—41no—
424C3×Dic3—41no—
425C2×#41—91no—
426C2×SD16—91no—
427C2×SD16—91no—
428C2×D8—31no—
429C2×D8—31no—
430#127—31no—
431#125—91no—
432#123—181no—
433#123—181no—
434#121—31no—
435#121—91no—
436#121—181no—
437#121—181no—
438C4×Q8—91no—
439C4×Q8—91no—
440C4×D4—31no—
441C4×D4—91no—
442C4×D4—91no—
443C4×D4—91no—
444C4×D4—181no—
445C4×D4—181no—
446#117—91no—
447#117—181no—
448C2×C4⋊C4—31no—
449C2×C4⋊C4—181no—
450#107—31no—
451#107—31no—
452#106—91no—
453#106—91no—
454C4⋊C8—31no—
455C4⋊C8—91no—
456#103—91no—
457#103—91no—
458#102—31no—
459#102—31no—
460#102—91no—
461#102—91no—
462#102—91no—
463#102D3211yescharacteristic
464C22⋊C8—31no—
465C22⋊C8—91no—
466#97—91no—
467C4×C8—91no—
468C23×C3—21no—
469C23×C3—21no—
470C23×C3—31no—
471C23×C3—41no—
472C23×C3—61no—
473C23×C3—61no—
474C22×D3—21no—
475C22×D3—21no—
476C22×D3D3×D411yescharacteristic
477C3×D4—22no—
478C3×D4—21no—
479C3×D4—21no—
480C3×D4—21no—
481C3×D4—21no—
482C3×D4—32no—
483C3×D4—41no—
484C3×D4—61no—
485C3×D4—61no—
486C3×D4—61no—
487C3×D4—241no—
488C3×D4—241no—
489C3×D4—241no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—31no—
494C2×C3×C4—31no—
495C2×C3×C4—31no—
496C2×C3×C4—41no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—241no—
502C2×C3×C4—241no—
503C2×C3×C4C23×D311yescharacteristic
504C2×C3×C4C23×D311yescharacteristic
505#67—64no—
506#67—64no—
507#67—81no—
508#67—81no—
509#67—81no—
510#67—241no—
511#67—241no—
512C2×Dic3—21no—
513C2×Dic3—21no—
514C2×Dic3—31no—
515C2×Dic3—31no—
516C2×Dic3—31no—
517C2×Dic3—31no—
518C2×Dic3—61no—
519C2×Dic3—61no—
520C2×Dic3—64no—
521C2×Dic3—61no—
522C2×Dic3—61no—
523C2×Dic3—61no—
524C2×Dic3—61no—
525C2×Dic3—121no—
526C2×Dic3—121no—
527C2×Dic3—241no—
528C2×Dic3—241no—
529C2×Dic3—241no—
530C2×Dic3—241no—
531C2×Dic3—242no—
532C2×Dic3D3×D411yescharacteristic
533C2×Dic3D3×D411yescharacteristic
534C2×Dic3D3×D411yescharacteristic
535D12—21no—
536D12—21no—
537D12—21no—
538D12#23712yes—
539C4×D3—21no—
540C4×D3—21no—
541C4×D3—64no—
542C4×D3—81no—
543C4×D3—81no—
544C4×D3—241no—
545C4×D3—241no—
546Dic6—32no—
547Dic6—32no—
548Dic6—62no—
549Dic6—61no—
550Dic6—61no—
551Dic6—121no—
552C3×C8—21no—
553C3×C8—21no—
554C3×C8—41no—
555C3×C8—61no—
556C3×C8—61no—
557C3⋊C8—21no—
558C3⋊C8—21no—
559C3⋊C8—62no—
560C3⋊C8—61no—
561C3⋊C8—61no—
562C2×C32—81no—
563C2×C32#52511yescharacteristic
564C2×C32#57611yescharacteristic
565C2×C32#57711yescharacteristic
566C3×D3—41no—
567C3×D3—42no—
568C3×D3—81no—
569#41—182no—
570#41—182no—
571C2×Q8—91no—
572C2×D4—31no—
573C2×D4—31no—
574C2×D4—61no—
575C2×D4—61no—
576C2×D4—61no—
577C2×D4—181no—
578C2×D4—181no—
579C2×D4C2×D3211yescharacteristic
580C22×C4—31no—
581C22×C4—61no—
582C22×C4—61no—
583C22×C4—181no—
584C22×C4—181no—
585C22×C4—181no—
586C22×C4—181no—
587SD16—182no—
588SD16—182no—
589D8—62no—
590D8—62no—
591C2×C8—31no—
592C2×C8—31no—
593C2×C8—91no—
594C2×C8C2×D3211yescharacteristic
595C4⋊C4—31no—
596C4⋊C4—31no—
597C4⋊C4—61no—
598C4⋊C4—91no—
599C4⋊C4—91no—
600C4⋊C4—91no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4—181no—
605C4⋊C4C2×D3211yescharacteristic
606C22⋊C4—61no—
607C22⋊C4—61no—
608C22⋊C4—91no—
609C22⋊C4—91no—
610C22⋊C4—181no—
611C22⋊C4—181no—
612C22⋊C4—181no—
613C22⋊C4—181no—
614C42—31no—
615C42—91no—
616C42—181no—
617C42—181no—
618C22×C3—21no—
619C22×C3—42no—
620C22×C3—41no—
621C22×C3—41no—
622C22×C3—41no—
623C22×C3—41no—
624C22×C3—41no—
625C22×C3—41no—
626C22×C3—62no—
627C22×C3—61no—
628C22×C3—61no—
629C22×C3—61no—
630C22×C3—81no—
631C22×C3—81no—
632C22×C3—121no—
633C22×C3—121no—
634C22×C3—121no—
635C22×C3—121no—
636C22×C3—121no—
637C22×C3C2×D3×D411yescharacteristic
638C22×C3C2×D3×D411yescharacteristic
639C2×D3—21no—
640C2×D3—21no—
641C2×D3—21no—
642C2×D3—22no—
643C2×D3—41no—
644C2×D3—41no—
645C2×D3—41no—
646C2×D3—41no—
647C2×D3—41no—
648C3×C4—21no—
649C3×C4—21no—
650C3×C4—41no—
651C3×C4—41no—
652C3×C4—61no—
653C3×C4—61no—
654C3×C4—61no—
655C3×C4—81no—
656C3×C4—121no—
657C3×C4—121no—
658C3×C4C2×#23711yescharacteristic
659C3×C4D3×#4111yescharacteristic
660C3×C4D3×#4111yescharacteristic
661C3×C4D3×#4111yescharacteristic
662Dic3—21no—
663Dic3—21no—
664Dic3—21no—
665Dic3—41no—
666Dic3—41no—
667Dic3—62no—
668Dic3—62no—
669Dic3—61no—
670Dic3—61no—
671Dic3—61no—
672Dic3—61no—
673Dic3—62no—
674Dic3—122no—
675Dic3—121no—
676Dic3—121no—
677Dic3—121no—
678Dic3—241no—
679C32#311911yescharacteristic, complemented, Sylow
680C23—21no—
681C23—31no—
682C23—61no—
683C23—61no—
684Q8—92no—
685Q8—181no—
686D4—21no—
687D4—21no—
688D4—32no—
689D4—61no—
690D4—61no—
691D4—61no—
692D4—184no—
693D4—241no—
694D4—241no—
695D4—241no—
696D4—721no—
697C2×C4—21no—
698C2×C4—31no—
699C2×C4—31no—
700C2×C4—31no—
701C2×C4—61no—
702C2×C4—61no—
703C2×C4—61no—
704C2×C4—61no—
705C2×C4—91no—
706C2×C4—91no—
707C2×C4—184no—
708C2×C4—181no—
709C2×C4—181no—
710C2×C4—241no—
711C2×C4—241no—
712C2×C4—721no—
713C2×C4—721no—
714C2×C4—721no—
715C2×C4C22×D3211yescharacteristic
716C8—21no—
717C8—61no—
718C8—61no—
719C8—181no—
720C2×C3—21no—
721C2×C3—21no—
722C2×C3—21no—
723C2×C3—82no—
724C2×C3—81no—
725C2×C3—81no—
726C2×C3—122no—
727C2×C3—121no—
728C2×C3—241no—
729C2×C3#560611yescharacteristic
730C2×C3#565611yescharacteristic
731C2×C3#575711yescharacteristic
732C2×C3#575711yescharacteristic
733C2×C3#577511yescharacteristic
734C2×C3#577811yescharacteristic
735D3—41no—
736D3—42no—
737D3—81no—
738C22—41no—
739C22—41no—
740C22—41no—
741C22—61no—
742C22—61no—
743C22—61no—
744C22—62no—
745C22—121no—
746C22—121no—
747C22—121no—
748C22—121no—
749C22—121no—
750C22D32×D411yescharacteristic
751C4—41no—
752C4—61no—
753C4—61no—
754C4—61no—
755C4—121no—
756C4—121no—
757C4—181no—
758C4—181no—
759C4—182no—
760C4—361no—
761C4#6430611yescharacteristic
762C4D3×#23711yescharacteristic
763C3—21no—
764C3#8031611yescharacteristic, complemented
765C3#8127211yescharacteristic, complemented
766C2—81no—
767C2—121no—
768C2—122no—
769C2—241no—
770C2#1059426711yescharacteristic
771C2#1059473111yescharacteristic
772C2#1059475411yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#102C22
socleC22×C32C22×D4
hypercenter#102D32
hypocenterC32#3119
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. #10595217C2semidirect
2. #10594359C2semidirect
3. #10592457C2semidirect
4. C3×#4786C2semidirect
5. C3×#4774C2semidirect
6. #10591519C2semidirect
7. #10591439C2semidirect
8. #10591436C2semidirect
9. #10590962C2semidirect
10. #10590814C2semidirect
11. #10590777C2semidirect
12. #10590698C2semidirect
13. #10590542C2semidirect
14. #10590500C2semidirect
15. #10590461C2semidirect
81. #4786D3semidirect
84. #4774D3semidirect
679. C32#3119semidirect
764. C3#80316semidirect
765. C3#81272semidirect

Maximal subgroups

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

subgroupindex
#105952172
#105943592
#105924572
C3×#47862
C3×#47742
#105915192
#105914392
#105914362
#105909622
#105908142
#105907772
#105906982
#105905422
#105905002
#105904612
#812723
#803163