Finite Group Databasebeta

← #11887831

Subgroups — #11887831

Order 1152.

827 conjugacy classes of subgroups.

The subgroup lattice has 762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10594550C211yesmaximal, characteristic, complemented
2#10594525C211yesmaximal, characteristic
3#10592572C211yesmaximal, characteristic, complemented
4C3×#4888C211yesmaximal, characteristic, complemented
5C3×#4882C211yesmaximal, characteristic, complemented
6#10590969C211yesmaximal, characteristic, complemented
7#10590952C211yesmaximal, characteristic, complemented
8#10590868C211yesmaximal, characteristic, complemented
9#10590718C211yesmaximal, characteristic, complemented
10#10590608C211yesmaximal, characteristic, complemented
11D3×#810C211yesmaximal, characteristic, complemented
12#10590579C211yesmaximal, characteristic, complemented
13#10590578C211yesmaximal, characteristic, complemented
14#10590538C211yesmaximal, characteristic, complemented
15#10590434C211yesmaximal, characteristic, complemented
16#81524—31nomaximal
17#81305—31nomaximal
18C2×#3795C2211yescharacteristic
19C2×D3×Dic6C2211yescharacteristic
20C2×#3746C2211yescharacteristic
21#64096C2211yescharacteristic
22#64096C2211yescharacteristic
23C3×#897C2211yescharacteristic
24C3×#895C2211yescharacteristic
25C3×#892C2211yescharacteristic
26C3×D3×C4⋊C4C2211yescharacteristic
27#63915—21no—
28#63905—21no—
29C4×#625C2211yescharacteristic
30#63899—21no—
31#63898—21no—
32#63885—21no—
33#63872C2211yescharacteristic
34#63867—21no—
35#63863C2211yescharacteristic
36#63862—21no—
37#63857C2211yescharacteristic
38#63857C2211yescharacteristic
39#63855—21no—
40C2×#3719C2211yescharacteristic
41C2×#3716C2211yescharacteristic
42C2×D3×C3⋊C8C2211yescharacteristic
43C2×D3×C3⋊C8C2211yescharacteristic
44C32×#107C2211yescharacteristic
45C8×C3⋊Dic3C2211yescharacteristic
46#63637C2211yescharacteristic
47#63637C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×(C2×D3)⋊C8C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#809C2211yescharacteristic
54C3×#808C2211yescharacteristic
55C3×#807C2211yescharacteristic
56#63572C2211yescharacteristic
57#63567C2211yescharacteristic
58#63567C2211yescharacteristic
59#63565C2211yescharacteristic
60#63562C2211yescharacteristic
61#5633—31no—
62#5598—31no—
63#5529—31no—
64#5513—31no—
65C3×#485—31no—
66C3×#480—31no—
67#5051—31no—
68#5041—31no—
69#5002—31no—
70C2×#810—31no—
71#4888D311yescharacteristic, complemented
72#4887—31no—
73#4882D311yescharacteristic, complemented
74#4877—31no—
75#4873—31no—
76#4873—31no—
77#4873—61no—
78#4864—31no—
79#4857—31no—
80#4809—31no—
81D3×#103—31no—
82#4800—31no—
83#4798—31no—
84#4783—31no—
85#4772—31no—
86#4768—31no—
87#4767—31no—
88#4739—31no—
89#4733—31no—
90#67⋊C8—31no—
91#67⋊C8—31no—
92C2×#634C2311yescharacteristic
93C2×#634C2311yescharacteristic
94C2×C3×D12—21no—
95C2×C3×D12C2311yescharacteristic
96C2×C3×C4×D3—21no—
97C2×C3×C4×D3C2311yescharacteristic
98C2×C3×C4×D3C2311yescharacteristic
99C2×C3×Dic6C2311yescharacteristic
100C2×#627—21no—
101C2×#625—21no—
102C2×#625D411yescharacteristic
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
112#3750—21no—
113#3750—21no—
114C4×C3⋊Dic3—21no—
115C4×C3⋊Dic3—21no—
116C4×C3⋊Dic3C2311yescharacteristic
117C2×C3⋊(C3⋊C8)C2311yescharacteristic
118#3746—22no—
119C3×(C2×D3)⋊C4—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×(C2×D3)⋊C4—21no—
122C3×C4⋊Dic3—21no—
123C3×C4⋊Dic3C2311yescharacteristic
124C3×C4⋊Dic3C2311yescharacteristic
125C3×Dic3⋊C4—21no—
126C3×C4×Dic3—21no—
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129#3724D411yescharacteristic
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134(C2×D3)⋊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
140#3719—41no—
141#3716—41no—
142D3×C3⋊C8—41no—
143D3×C3⋊C8—41no—
144#3300—91noSylow
145C2×D3×Q8—31no—
146C2×#237—31no—
147C2×#235—31no—
148C22×Dic6—31no—
149C3×C22⋊Q8—31no—
150C3×#121—31no—
151C3×#117—31no—
152C2×C3×C4⋊C4—31no—
153#947—31no—
154C2×#216—31no—
155#939—61no—
156#936—31no—
157D4×Dic3—61no—
158C2×#214—31no—
159#929—61no—
160C4×#67—31no—
161C4×#67—31no—
162#926—61no—
163#924—31no—
164#924—31no—
165C22×C3⋊C8—31no—
166C22×C3⋊C8—31no—
167C2×Dic12—31no—
168C2×Dic12—31no—
169C2×Dic12—31no—
170C2×Dic12—61no—
171C2×#204—31no—
172C2×D3×C8—31no—
173C2×D3×C8—31no—
174#898—61no—
175#897—31no—
176#897—31no—
177#897C2×D311yescharacteristic
178#896—61no—
179#895C2×D311yescharacteristic
180#893—61no—
181#892C2×D311yescharacteristic
182D3×C4⋊C4C2×D311yescharacteristic
183#890—31no—
184#890—31no—
185#889—61no—
186#887—31no—
187#887—31no—
188#887—31no—
189#887—31no—
190#887—61no—
191#887—61no—
192#885—61no—
193#885—61no—
194#884—61no—
195#883—61no—
196#879—61no—
197#878—61no—
198#872—61no—
199#870—61no—
200C3×#107—21no—
201C3×#107—31no—
202C3×#107C2×D311yescharacteristic
203C3×#107C2×D311yescharacteristic
204C3×#106—31no—
205C3×#103—31no—
206C3×#103—31no—
207C3×#102—31no—
208C3×#102—31no—
209C3×C22⋊C8—31no—
210C3×C22⋊C8—31no—
211#835—31no—
212#832—31no—
213#821C2×D311yescharacteristic
214(C2×D3)⋊C8C2×D311yescharacteristic
215(C2×D3)⋊C8C2×D311yescharacteristic
216#816—31no—
217#816—31no—
218#816C2×D311yescharacteristic
219Dic3⋊C8—31no—
220Dic3⋊C8—31no—
221C8×Dic3—31no—
222C8×Dic3—31no—
223C8×Dic3—61no—
224#810—31no—
225#810—31no—
226#810—31no—
227#810—31no—
228#810—31no—
229#810—31no—
230#810—31no—
231#810—61no—
232#810—61no—
233#810C2×D311yescharacteristic
234#809—31no—
235#809C2×D311yescharacteristic
236#808C2×D311yescharacteristic
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—21no—
250#634—21no—
251#634#4112yes—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C3×D12—21no—
258C3×D12—21no—
259C3×D12—42no—
260C3×C4×D3—21no—
261C3×C4×D3—21no—
262C3×C4×D3—21no—
263C3×C4×D3—21no—
264C3×C4×D3—42no—
265C3×Dic6—21no—
266C3×Dic6—21no—
267#627—42no—
268#625—22no—
269#625—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—31no—
281#479—91no—
282#467—91no—
283#465—91no—
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×D4—31no—
293C2×C3×D4—61no—
294C22×C3×C4—31no—
295C22×C3×C4—31no—
296C22×C3×C4—61no—
297C2×#67—31no—
298C2×#67—31no—
299C2×#67—61no—
300C2×#67—61no—
301C22×Dic3—61no—
302C22×Dic3—61no—
303D3×Q8—62no—
304D3×Q8—121no—
305#237—62no—
306#237—121no—
307#235—62no—
308#235—121no—
309C2×D12—21no—
310C2×D12C22×D311yescharacteristic
311C2×C4×D3—21no—
312C2×C4×D3—61no—
313C2×C4×D3—61no—
314C2×C4×D3C22×D311yescharacteristic
315C2×C4×D3C22×D311yescharacteristic
316C2×Dic6—31no—
317C2×Dic6—31no—
318C2×Dic6—31no—
319C2×Dic6—31no—
320C2×Dic6—61no—
321C2×Dic6—61no—
322C2×Dic6—62no—
323C2×Dic6—61no—
324C2×Dic6—61no—
325C2×Dic6—121no—
326C2×Dic6C22×D311yescharacteristic
327C2×C3×C8—21no—
328C2×C3×C8—31no—
329C2×C3×C8—31no—
330C2×C3×C8C22×D311yescharacteristic
331C2×C3×C8C22×D311yescharacteristic
332C3×C4⋊C4—21no—
333C3×C4⋊C4—21no—
334C3×C4⋊C4—31no—
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×C42—61no—
346#217—31no—
347#217—31no—
348#217—61no—
349#217—61no—
350#217—61no—
351#217—61no—
352#216—121no—
353#214—121no—
354(C2×D3)⋊C4—21no—
355(C2×D3)⋊C4—21no—
356(C2×D3)⋊C4—21no—
357(C2×D3)⋊C4—31no—
358(C2×D3)⋊C4—31no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—61no—
362(C2×D3)⋊C4—61no—
363C4⋊Dic3—21no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3C22×D311yescharacteristic
369C4⋊Dic3C22×D311yescharacteristic
370Dic3⋊C4—21no—
371Dic3⋊C4—31no—
372Dic3⋊C4—31no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—121no—
382Dic3⋊C4—121no—
383C4×Dic3—21no—
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×Dic3—121no—
393C2×C3⋊C8—31no—
394C2×C3⋊C8—31no—
395C2×C3⋊C8—61no—
396C2×C3⋊C8—121no—
397C2×C3⋊C8—121no—
398C2×C3⋊C8C22×D311yescharacteristic
399C2×C3⋊C8C22×D311yescharacteristic
400Dic12—62no—
401Dic12—62no—
402Dic12—64no—
403Dic12—121no—
404#204—121no—
405D3×C8—121no—
406D3×C8—121no—
407C22×C32C22×D411yescharacteristic
408C2×C3×D3—21no—
409C2×C3×D3—21no—
410C2×C3×D3—21no—
411C2×C3×D3—21no—
412C2×C3×D3—21no—
413C2×C3×D3—41no—
414C2×C3×D3—41no—
415C2×C3×D3—41no—
416C2×C3×D3#13512yes—
417C32×C4—41no—
418C32×C4—41no—
419C32×C4C2×#4111yescharacteristic
420C32×C4H(5,𝔽2)11yescharacteristic
421C3⋊Dic3—21no—
422C3⋊Dic3—22no—
423C3⋊Dic3—21no—
424C3⋊Dic3—41no—
425C3×Dic3—21no—
426C3×Dic3—21no—
427C3×Dic3—41no—
428C3×Dic3—41no—
429C3×Dic3—41no—
430C2×#41—91no—
431C22×Q8—91no—
432C2×Q16—91no—
433C2×Q16—91no—
434C2×SD16—91no—
435C22×C8—91no—
436C22×C8—91no—
437#126—181no—
438#125—91no—
439#125—181no—
440#124—91no—
441#124—181no—
442#123—181no—
443C22⋊Q8—31no—
444C22⋊Q8—91no—
445C22⋊Q8—91no—
446C22⋊Q8—181no—
447#121—31no—
448#121—181no—
449C4×Q8—91no—
450C4×Q8—91no—
451C4×D4—91no—
452C4×D4—181no—
453#117—31no—
454#117—181no—
455C2×C4⋊C4—31no—
456#107—31no—
457#107D3211yescharacteristic
458#106—31no—
459C4⋊C8—91no—
460#103—31no—
461#103—31no—
462#103—91no—
463#103—91no—
464#103—91no—
465#103—91no—
466#103—91no—
467#102—31no—
468#102—31no—
469#102—91no—
470C22⋊C8—31no—
471C22⋊C8—31no—
472C4×C8—91no—
473C23×C3—31no—
474C23×C3—31no—
475C23×C3—61no—
476C22×D3—21no—
477C22×D3D3×D411yescharacteristic
478C22×D3D3×D411yescharacteristic
479C3×Q8—61no—
480C3×Q8—61no—
481C3×D4—61no—
482C3×D4—61no—
483C3×D4—122no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—31no—
490C2×C3×C4—31no—
491C2×C3×C4—41no—
492C2×C3×C4—41no—
493C2×C3×C4—61no—
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—122no—
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×Dic3D3×D411yescharacteristic
525C2×Dic3D3×D411yescharacteristic
526D12—21no—
527D12—21no—
528D12—42no—
529C4×D3—21no—
530C4×D3—21no—
531C4×D3—21no—
532C4×D3—21no—
533C4×D3—42no—
534C4×D3—122no—
535C4×D3—122no—
536Dic6—21no—
537Dic6—21no—
538Dic6—32no—
539Dic6—32no—
540Dic6—62no—
541Dic6—61no—
542Dic6—61no—
543Dic6—62no—
544Dic6—61no—
545Dic6—61no—
546Dic6—61no—
547Dic6—61no—
548Dic6—121no—
549Dic6—121no—
550Dic6—122no—
551Dic6—122no—
552C3×C8—22no—
553C3×C8—21no—
554C3×C8—21no—
555C3×C8—61no—
556C3×C8—61no—
557C3⋊C8—21no—
558C3⋊C8—21no—
559C3⋊C8—61no—
560C3⋊C8—61no—
561C3⋊C8—121no—
562C2×C32#54611yescharacteristic
563C2×C32C2×#13511yescharacteristic
564C2×C32#57811yescharacteristic
565C3×D3—22no—
566C3×D3—41no—
567C3×D3—81no—
568#41—182no—
569#41—361no—
570C2×Q8—31no—
571C2×Q8—91no—
572C2×Q8—91no—
573C2×Q8—181no—
574C2×Q8—182no—
575C2×Q8—361no—
576C2×D4—31no—
577C2×D4—61no—
578C2×D4—91no—
579C2×D4—181no—
580C22×C4—31no—
581C22×C4—31no—
582C22×C4—61no—
583C22×C4—181no—
584C22×C4—181no—
585Q16—182no—
586Q16—361no—
587SD16—361no—
588C2×C8—31no—
589C2×C8—31no—
590C2×C8—91no—
591C2×C8—361no—
592C2×C8—361no—
593C2×C8C2×D3211yescharacteristic
594C4⋊C4—31no—
595C4⋊C4—31no—
596C4⋊C4—61no—
597C4⋊C4—61no—
598C4⋊C4—91no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4—181no—
605C4⋊C4C2×D3211yescharacteristic
606C4⋊C4C2×D3211yescharacteristic
607C22⋊C4—61no—
608C22⋊C4—61no—
609C22⋊C4—61no—
610C22⋊C4—91no—
611C22⋊C4—91no—
612C22⋊C4—181no—
613C22⋊C4—181no—
614C22⋊C4—181no—
615C22⋊C4—181no—
616C42—61no—
617C42—91no—
618C42—181no—
619C42—181no—
620C22×C3—21no—
621C22×C3—32no—
622C22×C3—61no—
623C22×C3—61no—
624C22×C3—61no—
625C22×C3—61no—
626C22×C3—61no—
627C22×C3—121no—
628C22×C3—121no—
629C22×C3—121no—
630C22×C3C2×D3×D411yescharacteristic
631C22×C3C2×D3×D411yescharacteristic
632C2×D3—21no—
633C2×D3—21no—
634C2×D3—21no—
635C2×D3—21no—
636C2×D3—21no—
637C2×D3—41no—
638C2×D3—41no—
639C2×D3—41no—
640C2×D3#91212yes—
641C3×C4—21no—
642C3×C4—21no—
643C3×C4—41no—
644C3×C4—41no—
645C3×C4—41no—
646C3×C4—41no—
647C3×C4—61no—
648C3×C4—61no—
649C3×C4—81no—
650C3×C4—81no—
651C3×C4—121no—
652C3×C4—121no—
653C3×C4—121no—
654C3×C4D3×#4111yescharacteristic
655C3×C4D3×#4111yescharacteristic
656C3×C4#100911yescharacteristic
657C3×C4#100911yescharacteristic
658Dic3—21no—
659Dic3—21no—
660Dic3—41no—
661Dic3—41no—
662Dic3—41no—
663Dic3—62no—
664Dic3—62no—
665Dic3—62no—
666Dic3—61no—
667Dic3—61no—
668Dic3—61no—
669Dic3—61no—
670Dic3—122no—
671Dic3—121no—
672Dic3—122no—
673Dic3—121no—
674Dic3—121no—
675C32#330011yescharacteristic, complemented, Sylow
676C23—31no—
677C23—31no—
678C23—61no—
679Q8—61no—
680Q8—61no—
681Q8—92no—
682Q8—181no—
683Q8—181no—
684Q8—181no—
685Q8—362no—
686D4—61no—
687D4—61no—
688D4—122no—
689D4—182no—
690D4—362no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—31no—
694C2×C4—31no—
695C2×C4—61no—
696C2×C4—61no—
697C2×C4—61no—
698C2×C4—61no—
699C2×C4—61no—
700C2×C4—61no—
701C2×C4—61no—
702C2×C4—91no—
703C2×C4—91no—
704C2×C4—122no—
705C2×C4—181no—
706C2×C4—181no—
707C2×C4—362no—
708C2×C4—362no—
709C2×C4C22×D3211yescharacteristic
710C8—21no—
711C8—61no—
712C8—61no—
713C8—181no—
714C2×C3—21no—
715C2×C3—21no—
716C2×C3—21no—
717C2×C3—62no—
718C2×C3—121no—
719C2×C3—241no—
720C2×C3#565411yescharacteristic
721C2×C3#565411yescharacteristic
722C2×C3C2×#91211yescharacteristic
723C2×C3D3×#13511yescharacteristic
724C2×C3#577911yescharacteristic
725C2×C3#577911yescharacteristic
726D3—22no—
727D3—41no—
728D3—81no—
729C22—32no—
730C22—61no—
731C22—61no—
732C22—61no—
733C22—61no—
734C22—61no—
735C22—121no—
736C22—121no—
737C22—121no—
738C22D32×D411yescharacteristic
739C4—41no—
740C4—41no—
741C4—61no—
742C4—61no—
743C4—121no—
744C4—121no—
745C4—121no—
746C4—182no—
747C4—181no—
748C4—181no—
749C4—361no—
750C4#6430611yescharacteristic
751C4#6432011yescharacteristic
752C3—21no—
753C3#8130511yescharacteristic, complemented
754C3#8152411yescharacteristic, complemented
755C2—62no—
756C2—121no—
757C2—241no—
758C2#1059461611yescharacteristic
759C2D3×#91211yescharacteristic
760C2#1059476911yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#107C22
socleC22×C32C22×D4
prime radical#10594525C2
hypercenter#107D32
hypocenterC32#3300
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #107

Complements

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

NH ≅ G/Ntype
1. #10594550C2semidirect
3. #10592572C2semidirect
4. C3×#4888C2semidirect
5. C3×#4882C2semidirect
6. #10590969C2semidirect
7. #10590952C2semidirect
8. #10590868C2semidirect
9. #10590718C2semidirect
10. #10590608C2semidirect
11. D3×#810C2semidirect
12. #10590579C2semidirect
13. #10590578C2semidirect
14. #10590538C2semidirect
15. #10590434C2semidirect
71. #4888D3semidirect
73. #4882D3semidirect
675. C32#3300semidirect
753. C3#81305semidirect
754. C3#81524semidirect

Maximal subgroups

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

subgroupindex
#105945502
#105945252
#105925722
C3×#48882
C3×#48822
#105909692
#105909522
#105908682
#105907182
#105906082
D3×#8102
#105905792
#105905782
#105905382
#105904342
#815243
#813053