Finite Group Databasebeta

← #11889429

Subgroups — #11889429

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#10595403C211yesmaximal, characteristic
2#10594584C211yesmaximal, characteristic
3#10592512C211yesmaximal, characteristic, complemented
4C3×#4802C211yesmaximal, characteristic, complemented
5C3×#4797C211yesmaximal, characteristic, complemented
6#10591595C211yesmaximal, characteristic, complemented
7#10591575C211yesmaximal, characteristic, complemented
8#10591553C211yesmaximal, characteristic, complemented
9#10590849C211yesmaximal, characteristic, complemented
10#10590794C211yesmaximal, characteristic, complemented
11#10590736C211yesmaximal, characteristic
12#10590672C211yesmaximal, characteristic, complemented
13#10590605C211yesmaximal, characteristic, complemented
14#10590521C211yesmaximal, characteristic, complemented
15#10590493C211yesmaximal, characteristic, complemented
16#81749—31nomaximal
17#78966—31nomaximal
18C2×C3×D3×Q8C2211yescharacteristic
19C2×#3797C2211yescharacteristic
20#64155C2211yescharacteristic
21C2×#3756C2211yescharacteristic
22C2×C8×C3⋊D3C2211yescharacteristic
23#64106C2211yescharacteristic
24C3×#944C2211yescharacteristic
25C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
26C3×#892C2211yescharacteristic
27C3×#890C2211yescharacteristic
28#63904—21no—
29C4×#626C2211yescharacteristic
30#63900C2211yescharacteristic
31#63888—21no—
32#63869—21no—
33#63861—21no—
34#63857C2211yescharacteristic
35#63856C2211yescharacteristic
36#63854—21no—
37#63851—21no—
38#63844C2211yescharacteristic
39Dic3×Dic6C2211yescharacteristic
40#63839—21no—
41#63836—21no—
42C2×#3719C2211yescharacteristic
43C2×#3719C2211yescharacteristic
44C32×#103C2211yescharacteristic
45#63643C2211yescharacteristic
46#63634C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×#835C2211yescharacteristic
49C3×#816C2211yescharacteristic
50C3×#816C2211yescharacteristic
51C3×#815C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#810C2211yescharacteristic
54#63573C2211yescharacteristic
55#63573C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63565C2211yescharacteristic
58#63565C2211yescharacteristic
59#63557C2211yescharacteristic
60(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
61Q8×#67—31no—
62#5727—31no—
63#5694—31no—
64#5529—31no—
65C3×#491—31no—
66C3×#419—31no—
67#5228—31no—
68#5137—31no—
69#5127—31no—
70#5090—31no—
71#5063—31no—
72#4996—31no—
73#4816—31no—
74#4815—31no—
75#4813—31no—
76#4813—31no—
77#4813—61no—
78#4809—31no—
79#4809—31no—
80#4809—31no—
81#4805—31no—
82#4805—31no—
83#4802D311yescharacteristic, complemented
84D3×#103—31no—
85D3×#103—31no—
86#4799—31no—
87#4797D311yescharacteristic, complemented
88#4795—31no—
89#4789—31no—
90#4716—31no—
91#4706—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C4×C3⋊D3C2311yescharacteristic
94C2×#634C2311yescharacteristic
95C3×D3×Q8—22no—
96C3×D3×Q8—41no—
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3C2311yescharacteristic
99C2×C3×Dic6—21no—
100C2×C3×Dic6C2311yescharacteristic
101C2×C3×Dic6C2311yescharacteristic
102C2×#627—21no—
103C2×#626D411yescharacteristic
104C2×#624—21no—
105C2×#624—21no—
106#3797—22no—
107#3797—41no—
108C2×C32×C8C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110#3756—41no—
111#3752—21no—
112#3752—21no—
113C4⋊(C3⋊Dic3)—21no—
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115#3750—21no—
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C8×C3⋊D3—41no—
118C3×(C2×D3)⋊C4—21no—
119C3×C4⋊Dic3—21no—
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×C4×Dic3—21no—
126C3×C4×Dic3C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C3×ΓL(1,𝔽25)—41no—
130#3724—21no—
131#3724—21no—
132#3724—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3D411yescharacteristic
136#3722D411yescharacteristic
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3—21no—
139(C2×D3)⋊Dic3D411yescharacteristic
140Dic32—21no—
141Dic32—21no—
142#3719—22no—
143#3719—41no—
144#3312—91noSylow
145C22×C3×Q8—31no—
146C2×D3×Q8—31no—
147C2×D3×Q8—31no—
148C2×D3×Q8C2×D311yescharacteristic
149C2×C3×M16—31no—
150C3×C4⋊Q8—31no—
151C3×#125—31no—
152C3×#117—31no—
153#946—31no—
154#946—31no—
155#946—31no—
156#946—61no—
157#946—61no—
158Q8×Dic3—31no—
159#944—61no—
160#944C2×D311yescharacteristic
161C2×#216—31no—
162C2×#216—31no—
163C2×#216—31no—
164C2×#216—31no—
165C2×#216—61no—
166C4×#67—31no—
167C4×#67—61no—
168#924—31no—
169#924—31no—
170#924—61no—
171C2×Dic12—31no—
172C2×Dic12—31no—
173C2×ΓL(1,𝔽25)C2×D311yescharacteristic
174C2×D3×C8—31no—
175C2×D3×C8—31no—
176C2×D3×C8—61no—
177#898—61no—
178#897—31no—
179#897—31no—
180#897—31no—
181#897—61no—
182#896—61no—
183#896—61no—
184#894—61no—
185#893—61no—
186#892—61no—
187#892C2×D311yescharacteristic
188D3×C4⋊C4—31no—
189D3×C4⋊C4—31no—
190#890—61no—
191#890C2×D311yescharacteristic
192#888—61no—
193#887—31no—
194#883—61no—
195#879—61no—
196C4×D12—31no—
197#872—61no—
198#870—61no—
199C4×Dic6—31no—
200C4×Dic6—31no—
201C3×#103—21no—
202C3×#103—31no—
203C3×#103—31no—
204C3×#103—31no—
205C3×#103—31no—
206C3×#103—31no—
207C3×#103—31no—
208C3×#103C2×D311yescharacteristic
209C3×#103C2×D311yescharacteristic
210C3×#97—31no—
211#835—31no—
212#835—31no—
213#835C2×D311yescharacteristic
214#835C2×D311yescharacteristic
215#830—31no—
216(C2×D3)⋊C8—31no—
217(C2×D3)⋊C8—31no—
218(C2×D3)⋊C8—31no—
219#817—31no—
220#817—31no—
221#816—31no—
222#816—31no—
223#816—61no—
224#816C2×D311yescharacteristic
225#816C2×D311yescharacteristic
226#815C2×D311yescharacteristic
227Dic3⋊C8—31no—
228#810—31no—
229#810—31no—
230#810C2×D311yescharacteristic
231#810C2×D311yescharacteristic
232#808—31no—
233#808—31no—
234#807—31no—
235#807—31no—
236#807—61no—
237C4⋊(C3⋊C8)—31no—
238C22×C3⋊D3C2×D411yescharacteristic
239C22×C3×D3C2×D411yescharacteristic
240C32×Q8—21no—
241C32×Q8—21no—
242C2×C32×C4—21no—
243C2×C32×C4—21no—
244C2×C32×C4C2411yescharacteristic
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3—21no—
247C2×C3⋊Dic3C2×D411yescharacteristic
248C4×C3⋊D3—21no—
249C4×C3⋊D3—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×C4×D3—42no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6—42no—
266C3×Dic6#4112yes—
267#627—42no—
268#626—22no—
269#624—42no—
270#624—42no—
271C32×C8—21no—
272C3⋊(C3⋊C8)—21no—
273C3×C3⋊C8—21no—
274C3×C3⋊C8—21no—
275#552—91no—
276D4×Q8—91no—
277#491—31no—
278#485—91no—
279#483—91no—
280#479—91no—
281#470—91no—
282#467—91no—
283#462—91no—
284#451—91no—
285#451—91no—
286#441—91no—
287#435—91no—
288#419—31no—
289C2×#103—91no—
290C2×C3×Q8—21no—
291C2×C3×Q8—31no—
292C2×C3×Q8—31no—
293C2×C3×Q8—61no—
294C2×C3×Q8—62no—
295C2×C3×Q8—121no—
296C2×C3×Q8C22×D311yescharacteristic
297C2×C3×Q8C22×D311yescharacteristic
298C22×C3×C4—31no—
299C22×C3×C4—61no—
300C2×#67—31no—
301D3×Q8—22no—
302D3×Q8—41no—
303D3×Q8—62no—
304D3×Q8—62no—
305D3×Q8—121no—
306D3×Q8—121no—
307C2×D12—31no—
308C2×C4×D3—21no—
309C2×C4×D3—31no—
310C2×C4×D3—31no—
311C2×C4×D3—61no—
312C2×C4×D3—61no—
313C2×C4×D3—61no—
314C2×C4×D3—61no—
315C2×C4×D3—61no—
316C2×C4×D3C22×D311yescharacteristic
317C2×Dic6—21no—
318C2×Dic6—31no—
319C2×Dic6—31no—
320C2×Dic6—61no—
321C2×Dic6—61no—
322C2×Dic6—61no—
323C2×Dic6C22×D311yescharacteristic
324C2×Dic6C22×D311yescharacteristic
325C3×M16—121no—
326C2×C3×C8—21no—
327C2×C3×C8—31no—
328C2×C3×C8—31no—
329C2×C3×C8C22×D311yescharacteristic
330C2×C3×C8C22×D311yescharacteristic
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×C22⋊C4—61no—
341C3×C42—31no—
342C3×C42—61no—
343#217—31no—
344#217—61no—
345#217—61no—
346#216—62no—
347#216—121no—
348#216—121no—
349#216—121no—
350#216—122no—
351(C2×D3)⋊C4—21no—
352(C2×D3)⋊C4—31no—
353(C2×D3)⋊C4—31no—
354(C2×D3)⋊C4—31no—
355(C2×D3)⋊C4—61no—
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—31no—
365C4⋊Dic3—31no—
366C4⋊Dic3—31no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—121no—
373C4⋊Dic3C22×D311yescharacteristic
374C4⋊Dic3C22×D311yescharacteristic
375Dic3⋊C4—21no—
376Dic3⋊C4—21no—
377Dic3⋊C4—21no—
378Dic3⋊C4—31no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—61no—
387Dic3⋊C4—61no—
388Dic3⋊C4—61no—
389Dic3⋊C4—121no—
390C4×Dic3—21no—
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—61no—
395C4×Dic3C22×D311yescharacteristic
396C2×C3⋊C8—31no—
397C2×C3⋊C8—31no—
398C2×C3⋊C8—61no—
399C2×C3⋊C8C22×D311yescharacteristic
400C2×C3⋊C8C22×D311yescharacteristic
401Dic12—62no—
402Dic12—121no—
403ΓL(1,𝔽25)—41no—
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—31no—
429C22×Q8—91no—
430C2×Q16—91no—
431C2×Q16—91no—
432C2×Q16—91no—
433C2×M16—31no—
434C22×C8—91no—
435C4⋊Q8—31no—
436C4⋊Q8—181no—
437#126—181no—
438#125—31no—
439#125—181no—
440#123—181no—
441C22⋊Q8—91no—
442C22⋊Q8—91no—
443C22⋊Q8—91no—
444C22⋊Q8—91no—
445C22⋊Q8—181no—
446C22⋊Q8—181no—
447C4×Q8—91no—
448C4×Q8—91no—
449C4×D4—91no—
450C4×D4—181no—
451#117—31no—
452#117—181no—
453C2×C4⋊C4—91no—
454#107—91no—
455#106—91no—
456#106—91no—
457C4⋊C8—91no—
458#103—31no—
459#103—31no—
460#103—31no—
461#103—31no—
462#103—31no—
463#103—31no—
464#103—91no—
465#103—91no—
466#103—91no—
467#103D3211yescharacteristic
468C22⋊C8—91no—
469C22⋊C8—91no—
470#97—31no—
471C23×C3—31no—
472C22×D3—31no—
473C22×D3—31no—
474C22×D3—61no—
475C22×D3D3×D411yescharacteristic
476C3×Q8—21no—
477C3×Q8—21no—
478C3×Q8—21no—
479C3×Q8—21no—
480C3×Q8—32no—
481C3×Q8—41no—
482C3×Q8—41no—
483C3×Q8—61no—
484C3×Q8—61no—
485C3×Q8—61no—
486C3×Q8—122no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—31no—
493C2×C3×C4—31no—
494C2×C3×C4—31no—
495C2×C3×C4—41no—
496C2×C3×C4—41no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—61no—
502C2×C3×C4—61no—
503C2×C3×C4—122no—
504C2×C3×C4C23×D311yescharacteristic
505C2×C3×C4C23×D311yescharacteristic
506#67—62no—
507C2×Dic3—21no—
508C2×Dic3—21no—
509C2×Dic3—21no—
510C2×Dic3—21no—
511C2×Dic3—31no—
512C2×Dic3—31no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—121no—
519C2×Dic3—121no—
520C2×Dic3D3×D411yescharacteristic
521C2×Dic3D3×D411yescharacteristic
522C2×Dic3D3×D411yescharacteristic
523D12—62no—
524C4×D3—21no—
525C4×D3—21no—
526C4×D3—42no—
527C4×D3—61no—
528C4×D3—61no—
529C4×D3—61no—
530C4×D3—61no—
531C4×D3—121no—
532C4×D3—121no—
533C4×D3—122no—
534C4×D3—122no—
535C4×D3—122no—
536C4×D3—122no—
537Dic6—21no—
538Dic6—21no—
539Dic6—21no—
540Dic6—42no—
541Dic6—61no—
542Dic6—61no—
543Dic6—61no—
544Dic6—61no—
545Dic6—121no—
546Dic6—121no—
547Dic6—122no—
548Dic6—122no—
549Dic6#23512yes—
550C3×C8—21no—
551C3×C8—21no—
552C3×C8—41no—
553C3×C8—61no—
554C3×C8—61no—
555C3⋊C8—21no—
556C3⋊C8—21no—
557C3⋊C8—62no—
558C3⋊C8—61no—
559C3⋊C8—61no—
560C2×C32#54611yescharacteristic
561C2×C32C2×#13711yescharacteristic
562C2×C32#57811yescharacteristic
563C3⋊D3—22no—
564C3×D3—41no—
565C2×Q8—31no—
566C2×Q8—31no—
567C2×Q8—61no—
568C2×Q8—62no—
569C2×Q8—91no—
570C2×Q8—121no—
571C2×Q8—181no—
572C2×Q8—182no—
573C2×Q8—361no—
574C2×Q8C2×D3211yescharacteristic
575C2×D4—91no—
576C22×C4—31no—
577C22×C4—61no—
578C22×C4—91no—
579C22×C4—181no—
580C22×C4—181no—
581Q16—182no—
582Q16—361no—
583Q16—361no—
584M16—121no—
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—91no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4—181no—
605C4⋊C4C2×D3211yescharacteristic
606C22⋊C4—61no—
607C22⋊C4—91no—
608C22⋊C4—91no—
609C22⋊C4—181no—
610C22⋊C4—181no—
611C22⋊C4—181no—
612C22⋊C4—181no—
613C42—31no—
614C42—61no—
615C42—181no—
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×#23511yescharacteristic
651C3×C4#100411yescharacteristic
652C3×C4D3×#4111yescharacteristic
653C3×C4#100911yescharacteristic
654Dic3—22no—
655Dic3—21no—
656Dic3—21no—
657Dic3—21no—
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—21no—
674Q8—21no—
675Q8—32no—
676Q8—61no—
677Q8—61no—
678Q8—61no—
679Q8—122no—
680Q8—181no—
681Q8—181no—
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—122no—
697C2×C4—181no—
698C2×C4—181no—
699C2×C4—181no—
700C2×C4—181no—
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#549011yescharacteristic
713C2×C3#567611yescharacteristic
714C2×C3D3×#13711yescharacteristic
715C2×C3D3×#13711yescharacteristic
716C2×C3#577911yescharacteristic
717C2×C3#577911yescharacteristic
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—61no—
733C4—61no—
734C4—62no—
735C4—121no—
736C4—121no—
737C4—121no—
738C4—181no—
739C4—361no—
740C4—361no—
741C4D3×#23511yescharacteristic
742C4#6431411yescharacteristic
743C3—21no—
744C3#7896611yescharacteristic, complemented
745C3#8174911yescharacteristic, complemented
746C2—121no—
747C2—182no—
748C2#1059428011yescharacteristic
749C2#1059475211yescharacteristic
750C2#1059476011yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radicalC2×#626D4
hypercenter#103D32
hypocenterC32#3312
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
3. #10592512C2semidirect
4. C3×#4802C2semidirect
5. C3×#4797C2semidirect
6. #10591595C2semidirect
7. #10591575C2semidirect
8. #10591553C2semidirect
9. #10590849C2semidirect
10. #10590794C2semidirect
12. #10590672C2semidirect
13. #10590605C2semidirect
14. #10590521C2semidirect
15. #10590493C2semidirect
83. #4802D3semidirect
87. #4797D3semidirect
670. C32#3312semidirect
744. C3#78966semidirect
745. C3#81749semidirect

Maximal subgroups

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

subgroupindex
#105954032
#105945842
#105925122
C3×#48022
C3×#47972
#105915952
#105915752
#105915532
#105908492
#105907942
#105907362
#105906722
#105906052
#105905212
#105904932
#817493
#789663