Finite Group Databasebeta

← #11889442

Subgroups — #11889442

Order 1152.

797 conjugacy classes of subgroups.

The subgroup lattice has 745 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10593917C211yesmaximal, characteristic
2Dic6×D12C211yesmaximal, characteristic
3#10592402C211yesmaximal, characteristic, complemented
4C3×#4716C211yesmaximal, characteristic, complemented
5C3×#4706C211yesmaximal, characteristic
6#10590949C211yesmaximal, characteristic, complemented
7#10590949C211yesmaximal, characteristic, complemented
8#10590948C211yesmaximal, characteristic, complemented
9#10590849C211yesmaximal, characteristic, complemented
10#10590848C211yesmaximal, characteristic, complemented
11#10590709C211yesmaximal, characteristic, complemented
12#10590674C211yesmaximal, characteristic, complemented
13D3×#816C211yesmaximal, characteristic, complemented
14#10590385C211yesmaximal, characteristic, complemented
15#10590302C211yesmaximal, characteristic, complemented
16#79841—31nomaximal
17#79511—31nomaximal
18C2×D3×Dic6C2211yescharacteristic
19C2×D3×Dic6C2211yescharacteristic
20#64079C2211yescharacteristic
21#64078C2211yescharacteristic
22C2×C3×Dic12C2211yescharacteristic
23C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
24C2×C3×D3×C8C2211yescharacteristic
25C3×C4×D12C2211yescharacteristic
26C3×C4×Dic6C2211yescharacteristic
27C3×C4×Dic6C2211yescharacteristic
28#63918—21no—
29#63893—21no—
30#63893—21no—
31Dic3×D12—21no—
32D3×C4⋊Dic3C2211yescharacteristic
33#63884—21no—
34#63877—21no—
35#63859—21no—
36#63857C2211yescharacteristic
37#63857C2211yescharacteristic
38#63856C2211yescharacteristic
39#63856C2211yescharacteristic
40#63847—21no—
41#63841C2211yescharacteristic
42C2×#3719C2211yescharacteristic
43C2×#3719C2211yescharacteristic
44C32×#97C2211yescharacteristic
45#63643C2211yescharacteristic
46#63643C2211yescharacteristic
47#63643C2211yescharacteristic
48#63643C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×(C2×D3)⋊C8C2211yescharacteristic
51C3×#817C2211yescharacteristic
52C3×#816C2211yescharacteristic
53C3×#816C2211yescharacteristic
54C3×C4⋊(C3⋊C8)C2211yescharacteristic
55#63575C2211yescharacteristic
56#63573C2211yescharacteristic
57#63567C2211yescharacteristic
58#63567C2211yescharacteristic
59#63566C2211yescharacteristic
60#63566C2211yescharacteristic
61#5581—31no—
62Q8×D12—31no—
63#5541—31no—
64D4×Dic6—31no—
65C3×#441—31no—
66C3×#435—31no—
67#5186—31no—
68#5186—31no—
69#5137—31no—
70#5120—31no—
71#5116—31no—
72C2×#816—31no—
73#5031—31no—
74#5022—31no—
75#4868—31no—
76#4862—31no—
77#4849—31no—
78#4829—31no—
79#4816—31no—
80#4813—31no—
81#4802—31no—
82D3×#103—31no—
83#4739—31no—
84#4739—31no—
85#4723—31no—
86#4721—31no—
87#4716D311yescharacteristic, complemented
88#4706D311yescharacteristic
89#4703—31no—
90#4703—31no—
91#4703—61no—
92C2×#634C2311yescharacteristic
93C2×#634C2311yescharacteristic
94C2×C3×D12D411yescharacteristic
95C2×C3×C4×D3C2311yescharacteristic
96C2×C3×C4×D3C2311yescharacteristic
97C2×C3×Dic6C2311yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99C2×#627—21no—
100C2×#627—21no—
101C2×D3×Dic3—21no—
102C2×D3×Dic3—21no—
103C2×D3×Dic3—21no—
104D3×Dic6—22no—
105D3×Dic6—22no—
106D3×Dic6—41no—
107D3×Dic6—41no—
108C2×C32×C8C2311yescharacteristic
109C2×C32×C8C2311yescharacteristic
110C32×C42C2311yescharacteristic
111C4⋊(C3⋊Dic3)—21no—
112C4⋊(C3⋊Dic3)—21no—
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115#3750—21no—
116#3750—21no—
117C3×(C2×D3)⋊C4D411yescharacteristic
118C3×(C2×D3)⋊C4D411yescharacteristic
119C3×C4⋊Dic3D411yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×C4×Dic3—21no—
125C3×C4×Dic3—21no—
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C3×Dic12—22no—
129C3×ΓL(1,𝔽25)—41no—
130C3×D3×C8—41no—
131#3724—21no—
132#3724—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3—21no—
139(C2×D3)⋊Dic3—21no—
140(C2×D3)⋊Dic3—21no—
141Dic32—21no—
142#3719—41no—
143#3719—41no—
144#3312—91noSylow
145C2×D3×Q8—31no—
146C2×D3×Q8—31no—
147C22×Dic6—31no—
148C22×Dic6—31no—
149C2×C3×Q16—31no—
150C2×C3×M16—31no—
151C22×C3×C8—31no—
152C3×C4×Q8—31no—
153C3×C4×Q8—31no—
154C3×C4×D4—31no—
155#946—31no—
156#946—31no—
157C2×#216—31no—
158C2×#216—31no—
159#935—61no—
160D4×Dic3—61no—
161#926—31no—
162C2×C4⋊Dic3—31no—
163#924—31no—
164#924—31no—
165#924—31no—
166#924—31no—
167C2×Dic12—31no—
168C2×Dic12—31no—
169C2×Dic12C2×D311yescharacteristic
170C2×ΓL(1,𝔽25)C2×D311yescharacteristic
171C2×D3×C8C2×D311yescharacteristic
172#897—31no—
173#897—31no—
174#897—61no—
175#897—61no—
176#894—61no—
177#892—31no—
178D3×C4⋊C4—31no—
179#889—61no—
180#889—61no—
181#888—61no—
182#879—61no—
183#878—61no—
184#878—61no—
185#877—61no—
186#876—61no—
187C4×D12—61no—
188C4×D12C2×D311yescharacteristic
189#872—61no—
190#870—31no—
191#870—31no—
192#870—61no—
193#869—31no—
194#869—31no—
195#869—61no—
196#869—61no—
197C4×Dic6C2×D311yescharacteristic
198C4×Dic6C2×D311yescharacteristic
199C3×#106—31no—
200C3×C4⋊C8—31no—
201C3×#103—31no—
202C3×#103—31no—
203C3×C22⋊C8—31no—
204C3×C22⋊C8—31no—
205C3×#97—21no—
206C3×#97C2×D311yescharacteristic
207C3×#97C2×D311yescharacteristic
208#835—31no—
209#835—31no—
210(C2×D3)⋊C8C2×D311yescharacteristic
211(C2×D3)⋊C8C2×D311yescharacteristic
212#818—31no—
213#817—31no—
214#817C2×D311yescharacteristic
215#816—31no—
216#816—31no—
217#816—31no—
218#816—31no—
219#816—31no—
220#816—31no—
221#816—31no—
222#816—31no—
223#816—31no—
224#816—31no—
225#816—31no—
226#816—31no—
227#816—61no—
228#816—61no—
229#816—61no—
230#816—61no—
231#816C2×D311yescharacteristic
232#816C2×D311yescharacteristic
233#810—31no—
234#810—31no—
235#808—31no—
236#807—31no—
237C4⋊(C3⋊C8)C2×D311yescharacteristic
238C22×C3×D3C2×D411yescharacteristic
239C22×C3×D3C2×D411yescharacteristic
240C2×C32×C4C2×D411yescharacteristic
241C2×C32×C4C2×D411yescharacteristic
242C2×C32×C4C2411yescharacteristic
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3—21no—
247#634—21no—
248#634—21no—
249#634—21no—
250#634—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C3×D12—22no—
258C3×C4×D3—21no—
259C3×C4×D3—21no—
260C3×C4×D3—21no—
261C3×C4×D3—21no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6#4112yes—
266#627—42no—
267#627—42no—
268D3×Dic3—42no—
269D3×Dic3—42no—
270D3×Dic3—42no—
271C32×C8—21no—
272C32×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—91no—
284#451—91no—
285#451—91no—
286#441—31no—
287#435—31no—
288#419—91no—
289C2×#103—91no—
290C2×C3×Q8—31no—
291C2×C3×Q8—31no—
292C2×C3×D4—31no—
293C22×C3×C4—31no—
294C22×C3×C4—31no—
295C22×Dic3—61no—
296C22×Dic3—61no—
297C22×Dic3—61no—
298D3×Q8—62no—
299D3×Q8—62no—
300D3×Q8—121no—
301D3×Q8—121no—
302C2×D12D1211yescharacteristic
303C2×C4×D3—61no—
304C2×C4×D3—61no—
305C2×C4×D3—61no—
306C2×C4×D3C22×D311yescharacteristic
307C2×C4×D3C22×D311yescharacteristic
308C2×Dic6—31no—
309C2×Dic6—31no—
310C2×Dic6—31no—
311C2×Dic6—31no—
312C2×Dic6—61no—
313C2×Dic6—61no—
314C2×Dic6—62no—
315C2×Dic6—62no—
316C2×Dic6—61no—
317C2×Dic6—61no—
318C2×Dic6—61no—
319C2×Dic6—61no—
320C2×Dic6—121no—
321C2×Dic6—121no—
322C2×Dic6C22×D311yescharacteristic
323C2×Dic6C22×D311yescharacteristic
324C3×Q16—62no—
325C3×M16—121no—
326C2×C3×C8—21no—
327C2×C3×C8—21no—
328C2×C3×C8—31no—
329C2×C3×C8—31no—
330C2×C3×C8—121no—
331C2×C3×C8C22×D311yescharacteristic
332C2×C3×C8C22×D311yescharacteristic
333C2×C3×C8C22×D311yescharacteristic
334C2×C3×C8C22×D311yescharacteristic
335C3×C4⋊C4—31no—
336C3×C4⋊C4—31no—
337C3×C4⋊C4—31no—
338C3×C4⋊C4—61no—
339C3×C4⋊C4—61no—
340C3×C22⋊C4—31no—
341C3×C22⋊C4—31no—
342C3×C42—21no—
343C3×C42—61no—
344C3×C42—61no—
345C3×C42C22×D311yescharacteristic
346C3×C42C22×D311yescharacteristic
347#217—61no—
348#217—61no—
349#217—61no—
350#217—61no—
351#217—61no—
352#216—121no—
353#216—121no—
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)⋊C4D1211yescharacteristic
360(C2×D3)⋊C4D1211yescharacteristic
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—31no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3—61no—
374C4⋊Dic3—121no—
375C4⋊Dic3—121no—
376C4⋊Dic3D1211yescharacteristic
377C4⋊Dic3C22×D311yescharacteristic
378C4⋊Dic3C22×D311yescharacteristic
379Dic3⋊C4—21no—
380Dic3⋊C4—21no—
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—61no—
390Dic3⋊C4—61no—
391Dic3⋊C4—61no—
392Dic3⋊C4—121no—
393Dic3⋊C4—121no—
394C4×Dic3—21no—
395C4×Dic3—21no—
396C4×Dic3—61no—
397C4×Dic3—61no—
398C2×C3⋊C8C22×D311yescharacteristic
399C2×C3⋊C8C22×D311yescharacteristic
400Dic12—22no—
401Dic12—121no—
402Dic12—121no—
403ΓL(1,𝔽25)—41no—
404D3×C8—41no—
405C22×C32C22×D411yescharacteristic
406C2×C3×D3—21no—
407C2×C3×D3—21no—
408C2×C3×D3—21no—
409C2×C3×D3—21no—
410C2×C3×D3—21no—
411C2×C3×D3#13712yes—
412C32×C4—21no—
413C32×C4—21no—
414C32×C4C2×#4111yescharacteristic
415C32×C4H(5,𝔽2)11yescharacteristic
416C3⋊Dic3—41no—
417C3⋊Dic3—41no—
418C3⋊Dic3—41no—
419C3⋊Dic3—41no—
420C3×Dic3—22no—
421C3×Dic3—21no—
422C3×Dic3—21no—
423C3×Dic3—41no—
424C3×Dic3—41no—
425C3×Dic3—41no—
426C22×Q8—91no—
427C22×Q8—91no—
428C2×Q16—31no—
429C2×Q16—91no—
430C2×Q16—91no—
431C2×M16—31no—
432C22×C8—31no—
433C4⋊Q8—91no—
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—31no—
447C4×D4—31no—
448C4×D4—181no—
449#117—91no—
450#117—181no—
451C2×C4⋊C4—91no—
452#107—91no—
453#106—31no—
454#106—91no—
455C4⋊C8—31no—
456#103—31no—
457#103—31no—
458#103—91no—
459#103—91no—
460#103—91no—
461#103—91no—
462#103—91no—
463#103—91no—
464#103—91no—
465#103—91no—
466C22⋊C8—31no—
467C22⋊C8—31no—
468#97D3211yescharacteristic
469C23×C3—31no—
470C23×C3—31no—
471C22×D3C2×D1211yescharacteristic
472C22×D3C2×D1211yescharacteristic
473C3×Q8—32no—
474C3×Q8—61no—
475C3×Q8—61no—
476C3×Q8—61no—
477C3×D4—62no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—31no—
482C2×C3×C4—31no—
483C2×C3×C4—61no—
484C2×C3×C4—61no—
485C2×C3×C4—61no—
486C2×C3×C4—61no—
487C2×C3×C4—61no—
488C2×C3×C4—61no—
489C2×C3×C4—61no—
490C2×C3×C4—61no—
491C2×C3×C4C2×D1211yescharacteristic
492C2×C3×C4C2×D1211yescharacteristic
493C2×C3×C4D3×D411yescharacteristic
494C2×C3×C4D3×D411yescharacteristic
495C2×C3×C4C23×D311yescharacteristic
496C2×C3×C4C23×D311yescharacteristic
497C2×Dic3—21no—
498C2×Dic3—21no—
499C2×Dic3—21no—
500C2×Dic3—21no—
501C2×Dic3—61no—
502C2×Dic3—61no—
503C2×Dic3—61no—
504C2×Dic3—61no—
505C2×Dic3—61no—
506C2×Dic3—61no—
507C2×Dic3—61no—
508C2×Dic3—61no—
509C2×Dic3—121no—
510C2×Dic3—121no—
511C2×Dic3—121no—
512C2×Dic3—121no—
513C2×Dic3—122no—
514C2×Dic3—122no—
515C2×Dic3—122no—
516C2×Dic3C2×D1211yescharacteristic
517C2×Dic3C2×D1211yescharacteristic
518D12—22no—
519C4×D3—21no—
520C4×D3—21no—
521C4×D3—21no—
522C4×D3—21no—
523C4×D3—122no—
524C4×D3—122no—
525C4×D3—122no—
526Dic6—21no—
527Dic6—21no—
528Dic6—21no—
529Dic6—61no—
530Dic6—61no—
531Dic6—61no—
532Dic6—61no—
533Dic6—61no—
534Dic6—61no—
535Dic6—61no—
536Dic6—61no—
537Dic6—121no—
538Dic6—121no—
539Dic6—121no—
540Dic6—121no—
541Dic6—122no—
542Dic6—122no—
543Dic6—122no—
544Dic6—122no—
545Dic6#23512yes—
546C3×C8—21no—
547C3×C8—21no—
548C3×C8—21no—
549C3×C8—21no—
550C3×C8—41no—
551C3×C8—41no—
552C3×C8—61no—
553C3×C8—61no—
554C3⋊C8—21no—
555C3⋊C8—21no—
556C2×C32#54611yescharacteristic
557C2×C32C2×#13711yescharacteristic
558C2×C32#57811yescharacteristic
559C3×D3—22no—
560C3×D3—41no—
561C2×Q8—31no—
562C2×Q8—31no—
563C2×Q8—91no—
564C2×Q8—91no—
565C2×Q8—181no—
566C2×Q8—181no—
567C2×Q8—182no—
568C2×Q8—182no—
569C2×Q8—361no—
570C2×Q8—361no—
571C2×D4—31no—
572C22×C4—31no—
573C22×C4—31no—
574C22×C4—181no—
575C22×C4—181no—
576C22×C4—181no—
577Q16—62no—
578Q16—361no—
579Q16—361no—
580M16—121no—
581C2×C8—31no—
582C2×C8—31no—
583C2×C8—121no—
584C2×C8C2×D3211yescharacteristic
585C2×C8C2×D3211yescharacteristic
586C4⋊C4—31no—
587C4⋊C4—31no—
588C4⋊C4—31no—
589C4⋊C4—61no—
590C4⋊C4—61no—
591C4⋊C4—91no—
592C4⋊C4—91no—
593C4⋊C4—181no—
594C4⋊C4—181no—
595C4⋊C4—181no—
596C4⋊C4—181no—
597C4⋊C4—181no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C22⋊C4—31no—
603C22⋊C4—31no—
604C22⋊C4—181no—
605C22⋊C4—181no—
606C22⋊C4—181no—
607C22⋊C4—181no—
608C22⋊C4—181no—
609C42—61no—
610C42—61no—
611C42—181no—
612C42C2×D3211yescharacteristic
613C22×C3—21no—
614C22×C3—32no—
615C22×C3—61no—
616C22×C3—61no—
617C22×C3—61no—
618C22×C3—61no—
619C22×C3—61no—
620C22×C3C22×D1211yescharacteristic
621C22×C3C2×D3×D411yescharacteristic
622C2×D3—21no—
623C2×D3—21no—
624C2×D3—21no—
625C2×D3—21no—
626C2×D3—21no—
627C2×D3#90912yes—
628C3×C4—21no—
629C3×C4—21no—
630C3×C4—21no—
631C3×C4—21no—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—41no—
635C3×C4—41no—
636C3×C4—61no—
637C3×C4—61no—
638C3×C4—62no—
639C3×C4—121no—
640C3×C4—121no—
641C3×C4—121no—
642C3×C4C2×#23511yescharacteristic
643C3×C4#100411yescharacteristic
644C3×C4D3×#4111yescharacteristic
645C3×C4#100911yescharacteristic
646Dic3—22no—
647Dic3—21no—
648Dic3—21no—
649Dic3—41no—
650Dic3—41no—
651Dic3—41no—
652Dic3—121no—
653Dic3—121no—
654Dic3—121no—
655Dic3—121no—
656Dic3—121no—
657Dic3—121no—
658Dic3—121no—
659Dic3—121no—
660Dic3—241no—
661Dic3—241no—
662Dic3—241no—
663Dic3—241no—
664C32#331211yescharacteristic, complemented, Sylow
665C23—31no—
666C23—31no—
667Q8—32no—
668Q8—61no—
669Q8—61no—
670Q8—61no—
671Q8—181no—
672Q8—181no—
673Q8—181no—
674Q8—181no—
675Q8—362no—
676Q8—362no—
677D4—62no—
678C2×C4—31no—
679C2×C4—31no—
680C2×C4—61no—
681C2×C4—61no—
682C2×C4—61no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—181no—
689C2×C4—181no—
690C2×C4—181no—
691C2×C4—181no—
692C2×C4—362no—
693C2×C4—362no—
694C2×C4—362no—
695C2×C4D3×D1211yescharacteristic
696C2×C4D3×D1211yescharacteristic
697C2×C4C22×D3211yescharacteristic
698C8—21no—
699C8—21no—
700C8—61no—
701C8—61no—
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—62no—
706C2×C3—121no—
707C2×C3#555011yescharacteristic
708C2×C3#555411yescharacteristic
709C2×C3C2×#90911yescharacteristic
710C2×C3#575311yescharacteristic
711C2×C3D3×#13711yescharacteristic
712C2×C3#577911yescharacteristic
713D3—22no—
714D3—41no—
715C22—32no—
716C22—61no—
717C22—61no—
718C22—61no—
719C22—61no—
720C22—61no—
721C22C2×D3×D1211yescharacteristic
722C4—21no—
723C4—21no—
724C4—61no—
725C4—61no—
726C4—62no—
727C4—121no—
728C4—121no—
729C4—121no—
730C4—361no—
731C4—361no—
732C4—361no—
733C4—361no—
734C4D3×#23511yescharacteristic
735C4#6430711yescharacteristic
736C3—21no—
737C3#7951111yescharacteristic, complemented
738C3#7984111yescharacteristic, complemented
739C2—62no—
740C2—121no—
741C2#1059400311yescharacteristic
742C2D3×#90911yescharacteristic
743C2#1059472111yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#97C22
socleC22×C32C22×D4
prime radicalC2×C3×D12D4
hypercenter#97D32
hypocenterC32#3312
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ #97

Complements

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

NH ≅ G/Ntype
3. #10592402C2semidirect
4. C3×#4716C2semidirect
6. #10590949C2semidirect
7. #10590949C2semidirect
8. #10590948C2semidirect
9. #10590849C2semidirect
10. #10590848C2semidirect
11. #10590709C2semidirect
12. #10590674C2semidirect
13. D3×#816C2semidirect
14. #10590385C2semidirect
15. #10590302C2semidirect
87. #4716D3semidirect
664. C32#3312semidirect
737. C3#79511semidirect
738. C3#79841semidirect

Maximal subgroups

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

subgroupindex
#105939172
Dic6×D122
#105924022
C3×#47162
C3×#47062
#105909492
#105909482
#105908492
#105908482
#105907092
#105906742
D3×#8162
#105903852
#105903022
#798413
#795113