Finite Group Databasebeta

← #11889465

Subgroups — #11889465

Order 1152.

809 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10594584C211yesmaximal, characteristic
2#10594383C211yesmaximal, characteristic
3#10592586C211yesmaximal, characteristic, complemented
4C3×#4888C211yesmaximal, characteristic, complemented
5C3×#4877C211yesmaximal, characteristic, complemented
6#10590952C211yesmaximal, characteristic, complemented
7#10590808C211yesmaximal, characteristic, complemented
8#10590737C211yesmaximal, characteristic
9#10590672C211yesmaximal, characteristic, complemented
10#10590605C211yesmaximal, characteristic, complemented
11#10590600C211yesmaximal, characteristic, complemented
12#10590587C211yesmaximal, characteristic, complemented
13#10590562C211yesmaximal, characteristic, complemented
14#10590480C211yesmaximal, characteristic, complemented
15#10590443C211yesmaximal, characteristic, complemented
16#81527—31nomaximal
17#81248—31nomaximal
18C2×#3797C2211yescharacteristic
19C2×D3×Dic6C2211yescharacteristic
20C2×#3746C2211yescharacteristic
21C2×C8×C3⋊D3C2211yescharacteristic
22#64106C2211yescharacteristic
23#64106C2211yescharacteristic
24C3×#897C2211yescharacteristic
25C3×#892C2211yescharacteristic
26C3×#890C2211yescharacteristic
27C3×#887C2211yescharacteristic
28#63918—21no—
29C4×#626C2211yescharacteristic
30#63900C2211yescharacteristic
31#63895—21no—
32#63893—21no—
33#63880—21no—
34#63869—21no—
35#63866C2211yescharacteristic
36#63861—21no—
37#63857C2211yescharacteristic
38#63854—21no—
39#63844C2211yescharacteristic
40#63836—21no—
41C2×#3719C2211yescharacteristic
42C2×#3719C2211yescharacteristic
43C2×#3711C2211yescharacteristic
44C32×#107C2211yescharacteristic
45#63637C2211yescharacteristic
46#63637C2211yescharacteristic
47C3×(C2×D3)⋊C8C2211yescharacteristic
48C3×#816C2211yescharacteristic
49C3×#816C2211yescharacteristic
50C3×Dic3⋊C8C2211yescharacteristic
51C3×#810C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#808C2211yescharacteristic
54C3×#808C2211yescharacteristic
55#63567C2211yescharacteristic
56#63567C2211yescharacteristic
57#63565C2211yescharacteristic
58#63565C2211yescharacteristic
59#63557C2211yescharacteristic
60#63554C2211yescharacteristic
61#5694—31no—
62#5632—31no—
63Q8×D12—31no—
64#5529—31no—
65C3×#485—31no—
66C3×#479—31no—
67#5069—31no—
68#5052—31no—
69#5030—31no—
70#5004—31no—
71#4888D311yescharacteristic, complemented
72#4887—31no—
73#4887—31no—
74#4887—61no—
75#4877D311yescharacteristic, complemented
76#4867—31no—
77#4862—31no—
78#4862—31no—
79#4853—31no—
80#4849—31no—
81#4836—31no—
82#4809—31no—
83#4809—31no—
84#4809—31no—
85#4802—31no—
86D3×#103—31no—
87D3×#103—31no—
88#4797—31no—
89#4795—31no—
90#4739—31no—
91#4728—31no—
92C2×C4×C3⋊D3C2311yescharacteristic
93C2×#634C2311yescharacteristic
94C2×#634C2311yescharacteristic
95C2×C3×C4×D3C2311yescharacteristic
96C2×C3×Dic6C2311yescharacteristic
97C2×C3×Dic6C2311yescharacteristic
98C2×#627—21no—
99C2×#627—21no—
100C2×#626D411yescharacteristic
101C2×#624—21no—
102C2×#624—21no—
103C2×D3×Dic3—21no—
104#3797—22no—
105#3797—41no—
106D3×Dic6—22no—
107D3×Dic6—41no—
108C2×C32×C8C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110C32×C4⋊C4C2311yescharacteristic
111#3752—21no—
112#3752—21no—
113C4⋊(C3⋊Dic3)—21no—
114C4⋊(C3⋊Dic3)—21no—
115C2×C3⋊(C3⋊C8)C2311yescharacteristic
116#3746—41no—
117C8×C3⋊D3—41no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3—21no—
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4—21no—
126C3×C4×Dic3—21no—
127C3×C4×Dic3—21no—
128C3×C4×Dic3C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131#3724—21no—
132#3724—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3—21no—
136Dic3⋊Dic3D411yescharacteristic
137#3722D411yescharacteristic
138(C2×D3)⋊Dic3—21no—
139(C2×D3)⋊Dic3D411yescharacteristic
140Dic32—21no—
141#3719—22no—
142#3719—41no—
143#3711—41no—
144#3312—91noSylow
145C2×D3×Q8—31no—
146C2×D3×Q8—31no—
147C2×D3×Q8—31no—
148C22×Dic6—31no—
149C3×#125—31no—
150C3×C22⋊Q8—31no—
151C3×C4×Q8—31no—
152C3×#117—31no—
153#944—31no—
154C2×#216—31no—
155C2×#216—31no—
156C4×#67—31no—
157#924—31no—
158C2×#208—31no—
159C2×Dic12—31no—
160C2×Dic12—31no—
161C2×Dic12—31no—
162C2×Dic12—31no—
163C2×Dic12—61no—
164C2×ΓL(1,𝔽25)—31no—
165C2×D3×C8—31no—
166C2×D3×C8—31no—
167C2×D3×C8—61no—
168#898—61no—
169#897—31no—
170#897—31no—
171#897—31no—
172#897—31no—
173#897—31no—
174#897—61no—
175#897—61no—
176#897—61no—
177#897—61no—
178#897C2×D311yescharacteristic
179#896—61no—
180#894—61no—
181#892—61no—
182#892C2×D311yescharacteristic
183D3×C4⋊C4—31no—
184D3×C4⋊C4—31no—
185#890—61no—
186#890C2×D311yescharacteristic
187#888—61no—
188#887—31no—
189#887C2×D311yescharacteristic
190#883—61no—
191#67⋊C4—61no—
192#879—61no—
193#878—61no—
194C4×D12—31no—
195C4×D12—61no—
196#872—61no—
197#870—61no—
198#869—31no—
199#869—61no—
200C4×Dic6—31no—
201C3×#107—21no—
202C3×#107C2×D311yescharacteristic
203C3×#107C2×D311yescharacteristic
204C3×#106—31no—
205C3×#106—31no—
206C3×C4⋊C8—31no—
207C3×#103—31no—
208C3×#103—31no—
209C3×#103—31no—
210C3×#103—31no—
211C3×C22⋊C8—31no—
212#835—31no—
213#835—31no—
214(C2×D3)⋊C8—31no—
215(C2×D3)⋊C8—31no—
216(C2×D3)⋊C8C2×D311yescharacteristic
217#816—31no—
218#816—31no—
219#816C2×D311yescharacteristic
220#816C2×D311yescharacteristic
221#815—31no—
222Dic3⋊C8C2×D311yescharacteristic
223#810—31no—
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#810C2×D311yescharacteristic
235#808C2×D311yescharacteristic
236#808C2×D311yescharacteristic
237#803—31no—
238C22×C3⋊D3C2×D411yescharacteristic
239C22×C3×D3C2×D411yescharacteristic
240C2×C32×C4—21no—
241C2×C32×C4—21no—
242C2×C32×C4C2411yescharacteristic
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3C2×D411yescharacteristic
246C4×C3⋊D3—21no—
247C4×C3⋊D3—21no—
248#634—21no—
249#634—21no—
250#634—21no—
251#634—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C3×C4×D3—21no—
260C3×C4×D3—21no—
261C3×Dic6—21no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6#4112yes—
265#627—42no—
266#627—42no—
267#626—22no—
268#624—42no—
269#624—42no—
270D3×Dic3—42no—
271C32×C8—21no—
272C3⋊(C3⋊C8)—21no—
273C3×C3⋊C8—21no—
274C3×C3⋊C8—21no—
275#552—91no—
276D4×Q8—91no—
277#491—91no—
278#485—31no—
279#483—91no—
280#479—31no—
281#470—91no—
282#467—91no—
283#462—91no—
284#451—91no—
285#451—91no—
286#441—91no—
287#435—91no—
288#419—91no—
289C2×#103—91no—
290C2×C3×Q8—31no—
291C2×C3×Q8—31no—
292C22×C3×C4—31no—
293C2×#67—31no—
294C22×Dic3—61no—
295D3×Q8—62no—
296D3×Q8—62no—
297D3×Q8—62no—
298D3×Q8—121no—
299D3×Q8—121no—
300D3×Q8—121no—
301C2×D12—31no—
302C2×C4×D3—31no—
303C2×C4×D3—31no—
304C2×C4×D3—61no—
305C2×C4×D3—61no—
306C2×C4×D3—61no—
307C2×C4×D3—61no—
308C2×C4×D3—61no—
309C2×C4×D3—61no—
310C2×C4×D3C22×D311yescharacteristic
311C2×Dic6—31no—
312C2×Dic6—31no—
313C2×Dic6—31no—
314C2×Dic6—31no—
315C2×Dic6—61no—
316C2×Dic6—61no—
317C2×Dic6—62no—
318C2×Dic6—61no—
319C2×Dic6—61no—
320C2×Dic6—61no—
321C2×Dic6—61no—
322C2×Dic6—121no—
323C2×Dic6C22×D311yescharacteristic
324C2×Dic6C22×D311yescharacteristic
325C2×C3×C8—21no—
326C2×C3×C8—31no—
327C2×C3×C8—31no—
328C2×C3×C8C22×D311yescharacteristic
329C2×C3×C8C22×D311yescharacteristic
330C3×C4⋊C4—21no—
331C3×C4⋊C4—21no—
332C3×C4⋊C4—31no—
333C3×C4⋊C4—31no—
334C3×C4⋊C4—61no—
335C3×C4⋊C4—61no—
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×C42—31no—
345C3×C42—61no—
346C3×C42—61no—
347#217—31no—
348#217—61no—
349#216—62no—
350#216—121no—
351(C2×D3)⋊C4—21no—
352(C2×D3)⋊C4—21no—
353(C2×D3)⋊C4—31no—
354(C2×D3)⋊C4—31no—
355(C2×D3)⋊C4—31no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—121no—
362(C2×D3)⋊C4—121no—
363C4⋊Dic3—21no—
364C4⋊Dic3—21no—
365C4⋊Dic3—31no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3—121no—
374C4⋊Dic3—121no—
375C4⋊Dic3C22×D311yescharacteristic
376C4⋊Dic3C22×D311yescharacteristic
377Dic3⋊C4—21no—
378Dic3⋊C4—21no—
379Dic3⋊C4—31no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—61no—
387C4×Dic3—21no—
388C4×Dic3—21no—
389C4×Dic3—61no—
390C4×Dic3—61no—
391C4×Dic3C22×D311yescharacteristic
392#208—121no—
393C2×C3⋊C8—31no—
394C2×C3⋊C8—31no—
395C2×C3⋊C8—61no—
396C2×C3⋊C8C22×D311yescharacteristic
397C2×C3⋊C8C22×D311yescharacteristic
398Dic12—62no—
399Dic12—121no—
400Dic12—121no—
401Dic12—122no—
402Dic12—121no—
403ΓL(1,𝔽25)—121no—
404D3×C8—121no—
405D3×C8—121no—
406D3×C8—122no—
407C22×C32C22×D411yescharacteristic
408C2×C3⋊D3—21no—
409C2×C3⋊D3—21no—
410C2×C3⋊D3#13712yes—
411C2×C3×D3—21no—
412C2×C3×D3—21no—
413C2×C3×D3—21no—
414C32×C4—41no—
415C32×C4—41no—
416C32×C4C2×#4111yescharacteristic
417C32×C4H(5,𝔽2)11yescharacteristic
418C3⋊Dic3—21no—
419C3⋊Dic3—41no—
420C3⋊Dic3—41no—
421C3×Dic3—22no—
422C3×Dic3—21no—
423C3×Dic3—21no—
424C3×Dic3—21no—
425C3×Dic3—41no—
426C3×Dic3—41no—
427C3×Dic3—41no—
428C22×Q8—91no—
429C22×Q8—91no—
430C2×Q16—91no—
431C2×Q16—91no—
432C2×Q16—91no—
433C2×M16—91no—
434C22×C8—91no—
435C4⋊Q8—91no—
436C4⋊Q8—181no—
437#126—181no—
438#125—31no—
439#125—181no—
440#123—181no—
441C22⋊Q8—31no—
442C22⋊Q8—91no—
443C22⋊Q8—91no—
444C22⋊Q8—91no—
445C22⋊Q8—181no—
446C22⋊Q8—181no—
447C4×Q8—31no—
448C4×Q8—91no—
449C4×D4—91no—
450C4×D4—181no—
451#117—31no—
452#117—181no—
453C2×C4⋊C4—91no—
454#107D3211yescharacteristic
455#106—31no—
456#106—31no—
457C4⋊C8—31no—
458#103—31no—
459#103—31no—
460#103—31no—
461#103—31no—
462#103—91no—
463#103—91no—
464#103—91no—
465#103—91no—
466#103—91no—
467#103—91no—
468C22⋊C8—31no—
469C22⋊C8—91no—
470#97—91no—
471C23×C3—31no—
472C22×D3—31no—
473C22×D3—31no—
474C22×D3—61no—
475C22×D3D3×D411yescharacteristic
476C3×Q8—32no—
477C3×Q8—61no—
478C3×Q8—61no—
479C3×Q8—61no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—31no—
486C2×C3×C4—31no—
487C2×C3×C4—31no—
488C2×C3×C4—41no—
489C2×C3×C4—41no—
490C2×C3×C4—61no—
491C2×C3×C4—61no—
492C2×C3×C4—61no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—61no—
496C2×C3×C4C23×D311yescharacteristic
497C2×C3×C4C23×D311yescharacteristic
498#67—62no—
499C2×Dic3—21no—
500C2×Dic3—21no—
501C2×Dic3—21no—
502C2×Dic3—21no—
503C2×Dic3—31no—
504C2×Dic3—31no—
505C2×Dic3—61no—
506C2×Dic3—61no—
507C2×Dic3—61no—
508C2×Dic3—61no—
509C2×Dic3—61no—
510C2×Dic3—121no—
511C2×Dic3—121no—
512C2×Dic3—122no—
513C2×Dic3D3×D411yescharacteristic
514C2×Dic3D3×D411yescharacteristic
515C2×Dic3D3×D411yescharacteristic
516D12—62no—
517C4×D3—21no—
518C4×D3—21no—
519C4×D3—61no—
520C4×D3—61no—
521C4×D3—61no—
522C4×D3—61no—
523C4×D3—121no—
524C4×D3—121no—
525C4×D3—122no—
526C4×D3—122no—
527C4×D3—122no—
528C4×D3—122no—
529C4×D3—122no—
530Dic6—21no—
531Dic6—21no—
532Dic6—21no—
533Dic6—61no—
534Dic6—61no—
535Dic6—61no—
536Dic6—61no—
537Dic6—61no—
538Dic6—61no—
539Dic6—61no—
540Dic6—61no—
541Dic6—121no—
542Dic6—121no—
543Dic6—121no—
544Dic6—121no—
545Dic6—122no—
546Dic6—122no—
547Dic6—122no—
548Dic6—122no—
549Dic6#23912yes—
550C3×C8—22no—
551C3×C8—21no—
552C3×C8—21no—
553C3×C8—61no—
554C3×C8—61no—
555C3⋊C8—21no—
556C3⋊C8—21no—
557C3⋊C8—61no—
558C3⋊C8—61no—
559C3⋊C8—121no—
560C2×C32#54611yescharacteristic
561C2×C32C2×#13711yescharacteristic
562C2×C32#57811yescharacteristic
563C3⋊D3—22no—
564C3×D3—41no—
565C2×Q8—31no—
566C2×Q8—31no—
567C2×Q8—91no—
568C2×Q8—91no—
569C2×Q8—181no—
570C2×Q8—181no—
571C2×Q8—182no—
572C2×Q8—182no—
573C2×Q8—361no—
574C2×Q8—361no—
575C2×D4—91no—
576C22×C4—31no—
577C22×C4—91no—
578C22×C4—181no—
579C22×C4—181no—
580C22×C4—181no—
581Q16—182no—
582Q16—361no—
583Q16—361no—
584M16—361no—
585C2×C8—31no—
586C2×C8—31no—
587C2×C8—91no—
588C2×C8—361no—
589C2×C8C2×D3211yescharacteristic
590C4⋊C4—31no—
591C4⋊C4—31no—
592C4⋊C4—61no—
593C4⋊C4—61no—
594C4⋊C4—61no—
595C4⋊C4—61no—
596C4⋊C4—91no—
597C4⋊C4—181no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4C2×D3211yescharacteristic
605C4⋊C4C2×D3211yescharacteristic
606C22⋊C4—61no—
607C22⋊C4—61no—
608C22⋊C4—91no—
609C22⋊C4—91no—
610C22⋊C4—181no—
611C22⋊C4—181no—
612C22⋊C4—181no—
613C42—31no—
614C42—61no—
615C42—61no—
616C42—181no—
617C22×C3—21no—
618C22×C3—61no—
619C22×C3—61no—
620C22×C3—61no—
621C22×C3C2×D3×D411yescharacteristic
622C22×C3C2×D3×D411yescharacteristic
623C2×D3—21no—
624C2×D3—21no—
625C2×D3—21no—
626C2×D3—32no—
627C2×D3—32no—
628C2×D3—62no—
629C2×D3—61no—
630C2×D3—61no—
631C2×D3—61no—
632C2×D3—61no—
633C2×D3—121no—
634C2×D3—121no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—41no—
638C3×C4—41no—
639C3×C4—41no—
640C3×C4—41no—
641C3×C4—62no—
642C3×C4—61no—
643C3×C4—61no—
644C3×C4—61no—
645C3×C4—81no—
646C3×C4—81no—
647C3×C4—121no—
648C3×C4—121no—
649C3×C4—121no—
650C3×C4C2×#23911yescharacteristic
651C3×C4D3×#4111yescharacteristic
652C3×C4#100911yescharacteristic
653C3×C4#100911yescharacteristic
654Dic3—21no—
655Dic3—21no—
656Dic3—21no—
657Dic3—22no—
658Dic3—41no—
659Dic3—41no—
660Dic3—41no—
661Dic3—61no—
662Dic3—61no—
663Dic3—121no—
664Dic3—121no—
665Dic3—121no—
666Dic3—121no—
667Dic3—121no—
668Dic3—241no—
669Dic3—241no—
670C32#331211yescharacteristic, complemented, Sylow
671C23—31no—
672C23—91no—
673Q8—32no—
674Q8—61no—
675Q8—61no—
676Q8—61no—
677Q8—181no—
678Q8—181no—
679Q8—181no—
680Q8—181no—
681Q8—362no—
682Q8—362no—
683D4—182no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—31no—
687C2×C4—31no—
688C2×C4—31no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—61no—
693C2×C4—61no—
694C2×C4—61no—
695C2×C4—91no—
696C2×C4—181no—
697C2×C4—181no—
698C2×C4—181no—
699C2×C4—181no—
700C2×C4—362no—
701C2×C4—362no—
702C2×C4—362no—
703C2×C4C22×D3211yescharacteristic
704C8—21no—
705C8—61no—
706C8—61no—
707C8—181no—
708C2×C3—21no—
709C2×C3—21no—
710C2×C3—21no—
711C2×C3—121no—
712C2×C3#563011yescharacteristic
713C2×C3#565411yescharacteristic
714C2×C3#577111yescharacteristic
715C2×C3#577111yescharacteristic
716C2×C3D3×#13711yescharacteristic
717C2×C3D3×#13711yescharacteristic
718D3—41no—
719D3—62no—
720D3—62no—
721D3—122no—
722C22—61no—
723C22—61no—
724C22—61no—
725C22—92no—
726C22—181no—
727C22—181no—
728C22D32×D411yescharacteristic
729C4—41no—
730C4—41no—
731C4—61no—
732C4—62no—
733C4—61no—
734C4—61no—
735C4—121no—
736C4—121no—
737C4—121no—
738C4—181no—
739C4—361no—
740C4—361no—
741C4#6430811yescharacteristic
742C4D3×#23911yescharacteristic
743C3—21no—
744C3#8124811yescharacteristic, complemented
745C3#8152711yescharacteristic, complemented
746C2—121no—
747C2—182no—
748C2#1059462011yescharacteristic
749C2#1059473711yescharacteristic
750C2#1059476011yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#107C22
socleC22×C32C22×D4
prime radicalC2×#626D4
hypercenter#107D32
hypocenterC32#3312
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
3. #10592586C2semidirect
4. C3×#4888C2semidirect
5. C3×#4877C2semidirect
6. #10590952C2semidirect
7. #10590808C2semidirect
9. #10590672C2semidirect
10. #10590605C2semidirect
11. #10590600C2semidirect
12. #10590587C2semidirect
13. #10590562C2semidirect
14. #10590480C2semidirect
15. #10590443C2semidirect
71. #4888D3semidirect
75. #4877D3semidirect
670. C32#3312semidirect
744. C3#81248semidirect
745. C3#81527semidirect

Maximal subgroups

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

subgroupindex
#105945842
#105943832
#105925862
C3×#48882
C3×#48772
#105909522
#105908082
#105907372
#105906722
#105906052
#105906002
#105905872
#105905622
#105904802
#105904432
#815273
#812483