Finite Group Databasebeta

← #11889426

Subgroups — #11889426

Order 1152.

804 conjugacy classes of subgroups.

The subgroup lattice has 749 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595403C211yesmaximal, characteristic
2#10594337C211yesmaximal, characteristic
3#10592504C211yesmaximal, characteristic, complemented
4C3×#4802C211yesmaximal, characteristic, complemented
5C3×#4795C211yesmaximal, characteristic, complemented
6#10591613C211yesmaximal, characteristic, complemented
7#10591601C211yesmaximal, characteristic, complemented
8#10591594C211yesmaximal, characteristic, complemented
9#10590950C211yesmaximal, characteristic, complemented
10#10590854C211yesmaximal, characteristic, complemented
11#10590815C211yesmaximal, characteristic, complemented
12#10590738C211yesmaximal, characteristic
13#10590601C211yesmaximal, characteristic, complemented
14#10590519C211yesmaximal, characteristic, complemented
15#10590477C211yesmaximal, characteristic, complemented
16#80493—31nomaximal
17#78966—31nomaximal
18C2×C3×D3×Q8C2211yescharacteristic
19C2×#3797C2211yescharacteristic
20#64155C2211yescharacteristic
21C4⋊C4×C3⋊D3C2211yescharacteristic
22C3×#944C2211yescharacteristic
23C2×C3×#216C2211yescharacteristic
24C2×C3×Dic12C2211yescharacteristic
25C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
26C3×#892C2211yescharacteristic
27C3×#887C2211yescharacteristic
28#63904—21no—
29C4×#626C2211yescharacteristic
30#63888—21no—
31#63874—21no—
32#63871C2211yescharacteristic
33#63869C2211yescharacteristic
34#63867—21no—
35#63859—21no—
36#63856C2211yescharacteristic
37#63856C2211yescharacteristic
38#63853—21no—
39#63851—21no—
40Dic3×Dic6C2211yescharacteristic
41#63839—21no—
42C2×#3718C2211yescharacteristic
43C2×#3710C2211yescharacteristic
44C32×#103C2211yescharacteristic
45#63662C2211yescharacteristic
46#63647C2211yescharacteristic
47#63644C2211yescharacteristic
48#63635C2211yescharacteristic
49C3×#835C2211yescharacteristic
50C3×#816C2211yescharacteristic
51C3×Dic3⋊C8C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#810C2211yescharacteristic
54#63575C2211yescharacteristic
55#63566C2211yescharacteristic
56#63566C2211yescharacteristic
57#63566C2211yescharacteristic
58#63565C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63554C2211yescharacteristic
61Q8×#67—31no—
62#5727—31no—
63#5581—31no—
64#5529—31no—
65C3×#462—31no—
66C3×#419—31no—
67#5228—31no—
68#5189—31no—
69#5188—31no—
70#5186—31no—
71#5186—31no—
72#5137—31no—
73#5127—31no—
74#5082—31no—
75#5030—31no—
76#4996—31no—
77#4836—31no—
78#4829—31no—
79#4814—31no—
80#4813—31no—
81#4809—31no—
82#4805—31no—
83#4805—31no—
84#4805—61no—
85#4802D311yescharacteristic, complemented
86D3×#103—31no—
87D3×#103—31no—
88#4799—31no—
89#4797—31no—
90#4795D311yescharacteristic, complemented
91#4789—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C4×C3⋊D3—21no—
94C2×C4×C3⋊D3C2311yescharacteristic
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×C3×Dic6C2311yescharacteristic
103C2×#627—21no—
104C2×#626D411yescharacteristic
105C2×#624—21no—
106#3797—22no—
107#3797—41no—
108C2×C32×C8C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110#3752—21no—
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113#3750—21no—
114#3750—21no—
115C2×C3⋊(C3⋊C8)C2311yescharacteristic
116C3×#216—41no—
117C3×(C2×D3)⋊C4—21no—
118C3×C4⋊Dic3C2311yescharacteristic
119C3×Dic3⋊C4—21no—
120C3×Dic3⋊C4—21no—
121C3×Dic3⋊C4—21no—
122C3×C4×Dic3—21no—
123C3×C4×Dic3—21no—
124C3×C4×Dic3C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C3×Dic12—41no—
128C3×ΓL(1,𝔽25)—41no—
129#3724—21no—
130#3724—21no—
131#3724—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3D411yescharacteristic
136#3722—21no—
137#3722D411yescharacteristic
138(C2×D3)⋊Dic3—21no—
139(C2×D3)⋊Dic3—21no—
140(C2×D3)⋊Dic3D411yescharacteristic
141Dic32—21no—
142#3718—22no—
143#3710—41no—
144#3312—91noSylow
145C22×C3×Q8—31no—
146C2×D3×Q8—31no—
147C2×D3×Q8—31no—
148C2×D3×Q8C2×D311yescharacteristic
149C2×C3×Q16—31no—
150C2×C3×Q16—31no—
151C2×C3×M16—31no—
152C3×C4⋊Q8—31no—
153C3×C4×Q8—31no—
154C3×#117—31no—
155#946—31no—
156#946—31no—
157#946—31no—
158#946—31no—
159#946—31no—
160#946—61no—
161#946—61no—
162Q8×Dic3—31no—
163#944—61no—
164#944C2×D311yescharacteristic
165C2×#216—31no—
166C2×#216—31no—
167C2×#216C2×D311yescharacteristic
168C4×#67—31no—
169C4×#67—61no—
170#924—31no—
171#924—31no—
172#924—61no—
173C2×Dic12C2×D311yescharacteristic
174C2×ΓL(1,𝔽25)C2×D311yescharacteristic
175C2×D3×C8—31no—
176C2×D3×C8—31no—
177#897—31no—
178#896—61no—
179#896—61no—
180#894—61no—
181#893—61no—
182#892C2×D311yescharacteristic
183D3×C4⋊C4—31no—
184D3×C4⋊C4—31no—
185D3×C4⋊C4—61no—
186#890—31no—
187#889—61no—
188#888—61no—
189#887C2×D311yescharacteristic
190#883—61no—
191#879—61no—
192#876—61no—
193C4×D12—31no—
194#872—61no—
195#872—61no—
196#870—31no—
197#870—61no—
198C4×Dic6—31no—
199C3×C4⋊C8—31no—
200C3×#103—21no—
201C3×#103—31no—
202C3×#103—31no—
203C3×#103—31no—
204C3×#103—31no—
205C3×#103C2×D311yescharacteristic
206C3×#103C2×D311yescharacteristic
207#835—31no—
208#835—31no—
209#835—31no—
210#835—31no—
211#835—31no—
212#835—31no—
213#835—61no—
214#835C2×D311yescharacteristic
215#830—31no—
216(C2×D3)⋊C8—31no—
217(C2×D3)⋊C8—31no—
218(C2×D3)⋊C8—31no—
219(C2×D3)⋊C8—61no—
220#818—31no—
221#817—31no—
222#817—31no—
223#817—61no—
224#816—31no—
225#816—31no—
226#816—31no—
227#816C2×D311yescharacteristic
228#815—31no—
229Dic3⋊C8C2×D311yescharacteristic
230#810—31no—
231#810C2×D311yescharacteristic
232#810C2×D311yescharacteristic
233#808—31no—
234#808—31no—
235#808—61no—
236#807—31no—
237#803—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—
250C4×C3⋊D3—42no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C3×C4×D3—21no—
259C3×C4×D3—21no—
260C3×C4×D3—42no—
261C3×Dic6—21no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6—21no—
266C3×Dic6—42no—
267C3×Dic6#4112yes—
268#627—42no—
269#626—22no—
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—91no—
278#485—91no—
279#483—91no—
280#479—91no—
281#470—91no—
282#467—91no—
283#462—31no—
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—31no—
294C2×C3×Q8—61no—
295C2×C3×Q8—62no—
296C2×C3×Q8—121no—
297C2×C3×Q8C22×D311yescharacteristic
298C2×C3×Q8C22×D311yescharacteristic
299C22×C3×C4—31no—
300C22×C3×C4—61no—
301C2×#67—31no—
302D3×Q8—22no—
303D3×Q8—41no—
304D3×Q8—62no—
305D3×Q8—62no—
306D3×Q8—121no—
307D3×Q8—121no—
308C2×D12—31no—
309C2×C4×D3—21no—
310C2×C4×D3—31no—
311C2×C4×D3—31no—
312C2×C4×D3—61no—
313C2×C4×D3—61no—
314C2×C4×D3—61no—
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×C4×D3—121no—
318C2×C4×D3C22×D311yescharacteristic
319C2×Dic6—21no—
320C2×Dic6—61no—
321C2×Dic6—61no—
322C2×Dic6C22×D311yescharacteristic
323C2×Dic6C22×D311yescharacteristic
324C2×Dic6C22×D311yescharacteristic
325C3×Q16—121no—
326C3×Q16—121no—
327C3×M16—121no—
328C2×C3×C8—21no—
329C2×C3×C8—31no—
330C2×C3×C8—31no—
331C2×C3×C8C22×D311yescharacteristic
332C2×C3×C8C22×D311yescharacteristic
333C3×C4⋊C4—21no—
334C3×C4⋊C4—31no—
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—
343C3×C42—61no—
344#217—31no—
345#217—61no—
346#217—61no—
347#216—41no—
348#216—62no—
349#216—62no—
350(C2×D3)⋊C4—21no—
351(C2×D3)⋊C4—31no—
352(C2×D3)⋊C4—31no—
353(C2×D3)⋊C4—31no—
354(C2×D3)⋊C4—61no—
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—121no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—31no—
365C4⋊Dic3—31no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3C22×D311yescharacteristic
372Dic3⋊C4—21no—
373Dic3⋊C4—21no—
374Dic3⋊C4—21no—
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—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—61no—
387Dic3⋊C4—61no—
388Dic3⋊C4—61no—
389Dic3⋊C4—121no—
390Dic3⋊C4—121no—
391C4×Dic3—21no—
392C4×Dic3—21no—
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—41no—
402ΓL(1,𝔽25)—41no—
403D3×C8—121no—
404D3×C8—121no—
405C22×C32C22×D411yescharacteristic
406C2×C3⋊D3—21no—
407C2×C3⋊D3—21no—
408C2×C3⋊D3#13712yes—
409C2×C3×D3—21no—
410C2×C3×D3—21no—
411C2×C3×D3—21no—
412C32×C4—41no—
413C32×C4—41no—
414C32×C4C2×#4111yescharacteristic
415C32×C4H(5,𝔽2)11yescharacteristic
416C3⋊Dic3—21no—
417C3⋊Dic3—41no—
418C3⋊Dic3—41no—
419C3×Dic3—22no—
420C3×Dic3—21no—
421C3×Dic3—21no—
422C3×Dic3—21no—
423C3×Dic3—41no—
424C3×Dic3—41no—
425C3×Dic3—41no—
426C22×Q8—31no—
427C22×Q8—91no—
428C2×Q16—31no—
429C2×Q16—31no—
430C2×Q16—91no—
431C2×M16—31no—
432C22×C8—91no—
433C4⋊Q8—31no—
434C4⋊Q8—181no—
435#126—181no—
436#125—91no—
437#125—181no—
438#123—181no—
439C22⋊Q8—91no—
440C22⋊Q8—91no—
441C22⋊Q8—91no—
442C22⋊Q8—91no—
443C22⋊Q8—181no—
444C22⋊Q8—181no—
445C4×Q8—31no—
446C4×Q8—91no—
447C4×D4—91no—
448C4×D4—181no—
449#117—31no—
450#117—181no—
451C2×C4⋊C4—91no—
452#107—91no—
453#106—91no—
454#106—91no—
455C4⋊C8—31no—
456#103—31no—
457#103—31no—
458#103—31no—
459#103—31no—
460#103—91no—
461#103—91no—
462#103—91no—
463#103—91no—
464#103—91no—
465#103D3211yescharacteristic
466C22⋊C8—91no—
467C22⋊C8—91no—
468#97—91no—
469C23×C3—31no—
470C22×D3—31no—
471C22×D3—31no—
472C22×D3—61no—
473C22×D3D3×D411yescharacteristic
474C3×Q8—21no—
475C3×Q8—21no—
476C3×Q8—21no—
477C3×Q8—21no—
478C3×Q8—32no—
479C3×Q8—41no—
480C3×Q8—41no—
481C3×Q8—61no—
482C3×Q8—61no—
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—
537C4×D3—242no—
538Dic6—21no—
539Dic6—21no—
540Dic6—21no—
541Dic6—21no—
542Dic6—21no—
543Dic6—42no—
544Dic6—122no—
545Dic6—122no—
546Dic6#23512yes—
547C3×C8—21no—
548C3×C8—21no—
549C3×C8—41no—
550C3×C8—61no—
551C3×C8—61no—
552C3⋊C8—21no—
553C3⋊C8—21no—
554C3⋊C8—61no—
555C3⋊C8—61no—
556C3⋊C8—121no—
557C2×C32#54611yescharacteristic
558C2×C32C2×#13711yescharacteristic
559C2×C32#57811yescharacteristic
560C3⋊D3—22no—
561C3×D3—41no—
562C2×Q8—31no—
563C2×Q8—31no—
564C2×Q8—31no—
565C2×Q8—61no—
566C2×Q8—62no—
567C2×Q8—121no—
568C2×Q8—181no—
569C2×Q8—182no—
570C2×Q8—361no—
571C2×Q8C2×D3211yescharacteristic
572C2×D4—91no—
573C22×C4—31no—
574C22×C4—61no—
575C22×C4—91no—
576C22×C4—181no—
577C22×C4—181no—
578Q16—121no—
579Q16—121no—
580Q16—182no—
581M16—121no—
582C2×C8—31no—
583C2×C8—31no—
584C2×C8—91no—
585C2×C8—361no—
586C2×C8C2×D3211yescharacteristic
587C4⋊C4—31no—
588C4⋊C4—61no—
589C4⋊C4—61no—
590C4⋊C4—61no—
591C4⋊C4—91no—
592C4⋊C4—91no—
593C4⋊C4—91no—
594C4⋊C4—181no—
595C4⋊C4—181no—
596C4⋊C4—181no—
597C4⋊C4—181no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4C2×D3211yescharacteristic
603C22⋊C4—61no—
604C22⋊C4—91no—
605C22⋊C4—91no—
606C22⋊C4—181no—
607C22⋊C4—181no—
608C22⋊C4—181no—
609C22⋊C4—181no—
610C42—31no—
611C42—61no—
612C42—61no—
613C42—181no—
614C22×C3—21no—
615C22×C3—61no—
616C22×C3—61no—
617C22×C3—61no—
618C22×C3C2×D3×D411yescharacteristic
619C22×C3C2×D3×D411yescharacteristic
620C2×D3—21no—
621C2×D3—21no—
622C2×D3—21no—
623C2×D3—32no—
624C2×D3—32no—
625C2×D3—62no—
626C2×D3—61no—
627C2×D3—61no—
628C2×D3—61no—
629C2×D3—61no—
630C2×D3—121no—
631C2×D3—121no—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—41no—
635C3×C4—41no—
636C3×C4—41no—
637C3×C4—41no—
638C3×C4—61no—
639C3×C4—61no—
640C3×C4—62no—
641C3×C4—61no—
642C3×C4—81no—
643C3×C4—81no—
644C3×C4—121no—
645C3×C4—121no—
646C3×C4—121no—
647C3×C4C2×#23511yescharacteristic
648C3×C4#100411yescharacteristic
649C3×C4#100411yescharacteristic
650C3×C4D3×#4111yescharacteristic
651Dic3—22no—
652Dic3—21no—
653Dic3—21no—
654Dic3—21no—
655Dic3—41no—
656Dic3—41no—
657Dic3—41no—
658Dic3—61no—
659Dic3—61no—
660Dic3—121no—
661Dic3—121no—
662Dic3—121no—
663Dic3—121no—
664Dic3—121no—
665Dic3—241no—
666Dic3—241no—
667C32#331211yescharacteristic, complemented, Sylow
668C23—31no—
669C23—91no—
670Q8—21no—
671Q8—21no—
672Q8—32no—
673Q8—61no—
674Q8—61no—
675Q8—61no—
676Q8—61no—
677Q8—61no—
678Q8—122no—
679Q8—362no—
680D4—182no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—31no—
684C2×C4—31no—
685C2×C4—31no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—91no—
693C2×C4—122no—
694C2×C4—181no—
695C2×C4—181no—
696C2×C4—181no—
697C2×C4—181no—
698C2×C4—362no—
699C2×C4—362no—
700C2×C4C22×D3211yescharacteristic
701C8—21no—
702C8—61no—
703C8—61no—
704C8—181no—
705C2×C3—21no—
706C2×C3—21no—
707C2×C3—21no—
708C2×C3—121no—
709C2×C3#549011yescharacteristic
710C2×C3#561211yescharacteristic
711C2×C3#576611yescharacteristic
712C2×C3D3×#13711yescharacteristic
713C2×C3D3×#13711yescharacteristic
714C2×C3#577911yescharacteristic
715D3—41no—
716D3—62no—
717D3—62no—
718D3—122no—
719C22—61no—
720C22—61no—
721C22—61no—
722C22—92no—
723C22—181no—
724C22—181no—
725C22D32×D411yescharacteristic
726C4—41no—
727C4—41no—
728C4—61no—
729C4—61no—
730C4—61no—
731C4—62no—
732C4—121no—
733C4—121no—
734C4—121no—
735C4—181no—
736C4—361no—
737C4—361no—
738C4D3×#23511yescharacteristic
739C4#6431311yescharacteristic
740C3—21no—
741C3#7896611yescharacteristic, complemented
742C3#8049311yescharacteristic, complemented
743C2—121no—
744C2—182no—
745C2#1059427811yescharacteristic
746C2#1059474211yescharacteristic
747C2#1059476611yescharacteristic
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. #10592504C2semidirect
4. C3×#4802C2semidirect
5. C3×#4795C2semidirect
6. #10591613C2semidirect
7. #10591601C2semidirect
8. #10591594C2semidirect
9. #10590950C2semidirect
10. #10590854C2semidirect
11. #10590815C2semidirect
13. #10590601C2semidirect
14. #10590519C2semidirect
15. #10590477C2semidirect
85. #4802D3semidirect
90. #4795D3semidirect
667. C32#3312semidirect
741. C3#78966semidirect
742. C3#80493semidirect

Maximal subgroups

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

subgroupindex
#105954032
#105943372
#105925042
C3×#48022
C3×#47952
#105916132
#105916012
#105915942
#105909502
#105908542
#105908152
#105907382
#105906012
#105905192
#105904772
#804933
#789663