Finite Group Databasebeta

← #11889412

Subgroups — #11889412

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
1Dic6×#67C211yesmaximal, characteristic
2#10594849C211yesmaximal, characteristic
3#10592815C211yesmaximal, characteristic, complemented
4C3×#5111C211yesmaximal, characteristic
5C2×C3×#816C211yesmaximal, characteristic, complemented
6#10591186C211yesmaximal, characteristic, complemented
7#10591124C211yesmaximal, characteristic, complemented
8#10590952C211yesmaximal, characteristic, complemented
9#10590948C211yesmaximal, characteristic, complemented
10#10590898C211yesmaximal, characteristic, complemented
11#10590849C211yesmaximal, characteristic, complemented
12#10590811C211yesmaximal, characteristic, complemented
13#10590808C211yesmaximal, characteristic, complemented
14#10590794C211yesmaximal, characteristic, complemented
15#10590710C211yesmaximal, characteristic, complemented
16#79511—31nomaximal
17#78810—31nomaximal
18C22×C3×Dic6C2211yescharacteristic
19C2×D3×Dic6C2211yescharacteristic
20C22×C32×C8C2211yescharacteristic
21#64133C2211yescharacteristic
22#64133C2211yescharacteristic
23C2×#3746C2211yescharacteristic
24C3×C4×#67C2211yescharacteristic
25C2×C3×C4⋊Dic3C2211yescharacteristic
26C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
27Dic3×#67—21no—
28#63964—21no—
29#63961—21no—
30#63955—21no—
31#63887—21no—
32#63869C2211yescharacteristic
33#63866C2211yescharacteristic
34#63858—21no—
35#63857C2211yescharacteristic
36#63856C2211yescharacteristic
37#63847—21no—
38#63844C2211yescharacteristic
39Dic3×Dic6C2211yescharacteristic
40#63841C2211yescharacteristic
41#63839—21no—
42C2×#3719C2211yescharacteristic
43C2×#3719C2211yescharacteristic
44#63645C2211yescharacteristic
45#63643C2211yescharacteristic
46#63643C2211yescharacteristic
47C3×#830C2211yescharacteristic
48C3×(C2×D3)⋊C8C2211yescharacteristic
49C3×#816C2211yescharacteristic
50C3×#816C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×#816C2211yescharacteristic
53C3×#815C2211yescharacteristic
54C3×Dic3⋊C8C2211yescharacteristic
55#63573C2211yescharacteristic
56#63573C2211yescharacteristic
57#63567C2211yescharacteristic
58#63567C2211yescharacteristic
59#63566C2211yescharacteristic
60#63566C2211yescharacteristic
61Q8×#67—31no—
62#5541—31no—
63D4×Dic6—31no—
64#5513—31no—
65C3×#435—31no—
66C2×C3×#103—31no—
67#5228—31no—
68#5137—31no—
69#5120—31no—
70#5116—31no—
71#5116—31no—
72#5116—61no—
73#5111D311yescharacteristic
74C2×#816D311yescharacteristic, complemented
75#4971—31no—
76#4849—31no—
77#4829—31no—
78#4816—31no—
79#4814—31no—
80#4809—31no—
81#4802—31no—
82#4797—31no—
83#4796—31no—
84#4795—31no—
85#4789—31no—
86#4739—31no—
87#4739—31no—
88#4723—31no—
89#4721—31no—
90#4716—31no—
91#4703—31no—
92C22×C32×C4C2311yescharacteristic
93C2×#634C2311yescharacteristic
94C2×#634C2311yescharacteristic
95C2×C3×#67D411yescharacteristic
96C22×C3×Dic3—21no—
97C22×C3×Dic3—21no—
98C2×C3×C4×D3C2311yescharacteristic
99C2×C3×Dic6—22no—
100C2×C3×Dic6—21no—
101C2×C3×Dic6—41no—
102C2×C3×Dic6C2311yescharacteristic
103C2×C3×Dic6C2311yescharacteristic
104C2×#627—21no—
105C2×D3×Dic3—21no—
106D3×Dic6—22no—
107D3×Dic6—41no—
108C2×C32×C8—41no—
109C2×C32×C8C2311yescharacteristic
110C2×C32×C8C2311yescharacteristic
111#3757—21no—
112#3757—21no—
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115#3750—21no—
116#3750—21no—
117#3746—41no—
118C3×#217D411yescharacteristic
119C3×(C2×D3)⋊C4D411yescharacteristic
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4D411yescharacteristic
124C3×C4×Dic3C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C3×ΓL(1,𝔽25)—41no—
128#3724—21no—
129#3724—21no—
130#3724—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—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—
139Dic32—21no—
140Dic32—21no—
141Dic32—21no—
142#3719—22no—
143#3719—41no—
144#3312—91noSylow
145C22×C3×Q8—31no—
146C2×D3×Q8—31no—
147C22×Dic6—31no—
148C22×Dic6C2×D311yescharacteristic
149C2×C3×M16—31no—
150C22×C3×C8—21no—
151C22×C3×C8C2×D311yescharacteristic
152C22×C3×C8C2×D311yescharacteristic
153C3×C4×D4—31no—
154C2×C3×C4⋊C4—31no—
155#946—31no—
156#946—61no—
157Q8×Dic3—31no—
158#944—31no—
159#944—61no—
160C2×#216—31no—
161C2×#216—31no—
162#935—61no—
163D4×Dic3—61no—
164#929—61no—
165C4×#67—61no—
166C4×#67C2×D311yescharacteristic
167#926—31no—
168#926—61no—
169C2×C4⋊Dic3C2×D311yescharacteristic
170#924—31no—
171#924—31no—
172#924—31no—
173#924—31no—
174#924—31no—
175#924—31no—
176#924—61no—
177#924—61no—
178#924—61no—
179C2×Dic12—31no—
180C2×Dic12—31no—
181C2×Dic12—31no—
182C2×Dic12—31no—
183C2×Dic12—61no—
184C2×ΓL(1,𝔽25)C2×D311yescharacteristic
185#898—61no—
186#897—31no—
187#892—31no—
188#890—31no—
189#889—61no—
190#889—61no—
191#888—61no—
192#887—31no—
193#879—61no—
194#878—61no—
195#878—61no—
196#877—61no—
197#870—31no—
198#869—31no—
199C4×Dic6—31no—
200C4×Dic6—31no—
201C3×C4⋊C8—31no—
202C3×#103—31no—
203C3×#103—31no—
204C3×#103—31no—
205C3×#103—31no—
206C3×C22⋊C8—31no—
207C3×C22⋊C8—31no—
208C3×#97—31no—
209#835—31no—
210#835—31no—
211#830C2×D311yescharacteristic
212(C2×D3)⋊C8C2×D311yescharacteristic
213#818—31no—
214#818—31no—
215#818—61no—
216#817—31no—
217#817—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—61no—
227#816—61no—
228#816C2×D311yescharacteristic
229#816C2×D311yescharacteristic
230#816C2×D311yescharacteristic
231#816C2×D311yescharacteristic
232#815C2×D311yescharacteristic
233Dic3⋊C8C2×D311yescharacteristic
234#810—31no—
235#810—31no—
236#808—31no—
237#808—31no—
238C23×C32C2×D411yescharacteristic
239C22×C3×D3C2×D411yescharacteristic
240C2×C32×C4—21no—
241C2×C32×C4—21no—
242C2×C32×C4C2×D411yescharacteristic
243C2×C32×C4C2411yescharacteristic
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3—21no—
247C2×C3⋊Dic3—21no—
248#634—21no—
249#634—21no—
250#634—21no—
251#634—21no—
252C3×#67—22no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3—21no—
257C2×C3×Dic3—42no—
258C2×C3×Dic3—42no—
259C2×C3×Dic3C2×D411yescharacteristic
260C2×C3×Dic3C2×D411yescharacteristic
261C2×C3×Dic3C2×D411yescharacteristic
262C3×C4×D3—21no—
263C3×C4×D3—21no—
264C3×Dic6—21no—
265C3×Dic6—21no—
266C3×Dic6—21no—
267C3×Dic6—42no—
268C3×Dic6#4112yes—
269#627—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—91no—
287#435—31no—
288#419—91no—
289C2×#103—31no—
290C2×C3×Q8—31no—
291C2×C3×Q8—31no—
292C2×C3×Q8—62no—
293C2×C3×Q8—61no—
294C2×C3×Q8—121no—
295C2×C3×D4—31no—
296C22×C3×C4—21no—
297C22×C3×C4—31no—
298C22×C3×C4—61no—
299C22×C3×C4—61no—
300C22×C3×C4C22×D311yescharacteristic
301C22×C3×C4C22×D311yescharacteristic
302C2×#67D1211yescharacteristic
303C22×Dic3—21no—
304C22×Dic3—21no—
305C22×Dic3—61no—
306D3×Q8—62no—
307D3×Q8—121no—
308C2×C4×D3—61no—
309C2×C4×D3C22×D311yescharacteristic
310C2×Dic6—22no—
311C2×Dic6—21no—
312C2×Dic6—31no—
313C2×Dic6—31no—
314C2×Dic6—31no—
315C2×Dic6—31no—
316C2×Dic6—41no—
317C2×Dic6—61no—
318C2×Dic6—61no—
319C2×Dic6—62no—
320C2×Dic6—61no—
321C2×Dic6—61no—
322C2×Dic6—121no—
323C2×Dic6C22×D311yescharacteristic
324C2×Dic6C22×D311yescharacteristic
325C3×M16—121no—
326C2×C3×C8—21no—
327C2×C3×C8—21no—
328C2×C3×C8—31no—
329C2×C3×C8—31no—
330C2×C3×C8—41no—
331C2×C3×C8—41no—
332C2×C3×C8—42no—
333C2×C3×C8C22×D311yescharacteristic
334C2×C3×C8C22×D311yescharacteristic
335C2×C3×C8C22×D311yescharacteristic
336C2×C3×C8C22×D311yescharacteristic
337C3×C4⋊C4—31no—
338C3×C4⋊C4—31no—
339C3×C4⋊C4—31no—
340C3×C4⋊C4—61no—
341C3×C22⋊C4—31no—
342C3×C22⋊C4—31no—
343C3×C42—31no—
344#217—61no—
345#217—61no—
346#217—61no—
347#217—61no—
348#217—61no—
349#217—61no—
350#217—61no—
351#217—121no—
352#217—121no—
353#217D1211yescharacteristic
354#216—62no—
355#216—121no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4D1211yescharacteristic
360C4⋊Dic3—21no—
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⋊Dic3C22×D311yescharacteristic
373C4⋊Dic3C22×D311yescharacteristic
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
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—
391Dic3⋊C4D1211yescharacteristic
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—61no—
395C4×Dic3—61no—
396C4×Dic3—61no—
397C4×Dic3—61no—
398C4×Dic3C22×D311yescharacteristic
399C2×C3⋊C8C22×D311yescharacteristic
400C2×C3⋊C8C22×D311yescharacteristic
401Dic12—62no—
402Dic12—121no—
403Dic12—121no—
404Dic12—122no—
405Dic12—121no—
406ΓL(1,𝔽25)—41no—
407C22×C32—21no—
408C22×C32—21no—
409C22×C32#13712yes—
410C22×C32C22×D411yescharacteristic
411C2×C3×D3—21no—
412C2×C3×D3—21no—
413C2×C3×D3—21no—
414C32×C4—21no—
415C32×C4C2×#4111yescharacteristic
416C32×C4H(5,𝔽2)11yescharacteristic
417C3⋊Dic3—41no—
418C3⋊Dic3—41no—
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×C8D3211yescharacteristic
435C4⋊Q8—91no—
436C4⋊Q8—181no—
437#126—181no—
438#125—91no—
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—31no—
450C4×D4—181no—
451#117—91no—
452#117—181no—
453C2×C4⋊C4—31no—
454#107—91no—
455#106—91no—
456#106—91no—
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—31no—
470#97—31no—
471C23×C3—21no—
472C23×C3—31no—
473C23×C3C2×D1211yescharacteristic
474C23×C3D3×D411yescharacteristic
475C22×D3C2×D1211yescharacteristic
476C3×Q8—32no—
477C3×Q8—61no—
478C3×Q8—61no—
479C3×Q8—61no—
480C3×Q8—122no—
481C3×D4—62no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—31no—
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—122no—
500C2×C3×C4—122no—
501C2×C3×C4C2×D1211yescharacteristic
502C2×C3×C4D3×D411yescharacteristic
503C2×C3×C4C23×D311yescharacteristic
504C2×C3×C4C23×D311yescharacteristic
505#67—22no—
506C2×Dic3—21no—
507C2×Dic3—21no—
508C2×Dic3—21no—
509C2×Dic3—21no—
510C2×Dic3—42no—
511C2×Dic3—42no—
512C2×Dic3—61no—
513C2×Dic3—61no—
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—121no—
523C2×Dic3—121no—
524C2×Dic3—122no—
525C2×Dic3C2×D1211yescharacteristic
526C2×Dic3C2×D1211yescharacteristic
527C2×Dic3C2×D1211yescharacteristic
528C4×D3—21no—
529C4×D3—21no—
530C4×D3—122no—
531Dic6—21no—
532Dic6—21no—
533Dic6—21no—
534Dic6—42no—
535Dic6—61no—
536Dic6—61no—
537Dic6—61no—
538Dic6—61no—
539Dic6—61no—
540Dic6—61no—
541Dic6—61no—
542Dic6—61no—
543Dic6—121no—
544Dic6—121no—
545Dic6—121no—
546Dic6—121no—
547Dic6—122no—
548Dic6—122no—
549Dic6#23512yes—
550C3×C8—22no—
551C3×C8—21no—
552C3×C8—21no—
553C3×C8—21no—
554C3×C8—21no—
555C3×C8—41no—
556C3×C8—61no—
557C3×C8—61no—
558C3⋊C8—21no—
559C3⋊C8—21no—
560C2×C32—22no—
561C2×C32#54611yescharacteristic
562C2×C32C2×#13711yescharacteristic
563C2×C32#57811yescharacteristic
564C3×D3—41no—
565C2×Q8—31no—
566C2×Q8—31no—
567C2×Q8—62no—
568C2×Q8—61no—
569C2×Q8—91no—
570C2×Q8—91no—
571C2×Q8—121no—
572C2×Q8—181no—
573C2×Q8—182no—
574C2×Q8—361no—
575C2×D4—31no—
576C22×C4—31no—
577C22×C4—61no—
578C22×C4—61no—
579C22×C4—181no—
580C22×C4C2×D3211yescharacteristic
581Q16—182no—
582Q16—361no—
583Q16—361no—
584M16—121no—
585C2×C8—31no—
586C2×C8—31no—
587C2×C8—41no—
588C2×C8C2×D3211yescharacteristic
589C2×C8C2×D3211yescharacteristic
590C4⋊C4—31no—
591C4⋊C4—31no—
592C4⋊C4—31no—
593C4⋊C4—61no—
594C4⋊C4—91no—
595C4⋊C4—91no—
596C4⋊C4—181no—
597C4⋊C4—181no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4—181no—
605C4⋊C4—181no—
606C22⋊C4—31no—
607C22⋊C4—31no—
608C22⋊C4—181no—
609C22⋊C4—181no—
610C22⋊C4—181no—
611C22⋊C4—181no—
612C22⋊C4—181no—
613C42—31no—
614C42—181no—
615C42—181no—
616C42—181no—
617C22×C3—21no—
618C22×C3—21no—
619C22×C3—21no—
620C22×C3—21no—
621C22×C3—21no—
622C22×C3—22no—
623C22×C3—41no—
624C22×C3—41no—
625C22×C3—61no—
626C22×C3—61no—
627C22×C3—61no—
628C22×C3#90912yes—
629C22×C3#91512yes—
630C22×C3C22×D1211yescharacteristic
631C22×C3C2×D3×D411yescharacteristic
632C2×D3—21no—
633C2×D3—21no—
634C2×D3—21no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—21no—
638C3×C4—21no—
639C3×C4—41no—
640C3×C4—61no—
641C3×C4—61no—
642C3×C4—61no—
643C3×C4—62no—
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—121no—
659Dic3—121no—
660Dic3—121no—
661Dic3—121no—
662Dic3—121no—
663Dic3—121no—
664Dic3—121no—
665Dic3—121no—
666Dic3—241no—
667Dic3—241no—
668Dic3—241no—
669Dic3—241no—
670C32#331211yescharacteristic, complemented, Sylow
671C23—31no—
672C23D3×D1211yescharacteristic
673Q8—32no—
674Q8—61no—
675Q8—61no—
676Q8—61no—
677Q8—122no—
678Q8—181no—
679Q8—181no—
680Q8—181no—
681Q8—181no—
682Q8—362no—
683D4—62no—
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—122no—
696C2×C4—122no—
697C2×C4—181no—
698C2×C4—181no—
699C2×C4—181no—
700C2×C4—181no—
701C2×C4—362no—
702C2×C4D3×D1211yescharacteristic
703C2×C4C22×D3211yescharacteristic
704C8—21no—
705C8—21no—
706C8—61no—
707C8—61no—
708C2×C3—22no—
709C2×C3—22no—
710C2×C3—21no—
711C2×C3—21no—
712C2×C3—21no—
713C2×C3—42no—
714C2×C3—121no—
715C2×C3#549011yescharacteristic
716C2×C3#555411yescharacteristic
717C2×C3C2×#90911yescharacteristic
718C2×C3#575311yescharacteristic
719C2×C3C2×#91511yescharacteristic
720C2×C3#576611yescharacteristic
721D3—41no—
722C22—21no—
723C22—21no—
724C22—61no—
725C22—61no—
726C22—61no—
727C22#6380012yes—
728C22C2×D3×D1211yescharacteristic
729C4—21no—
730C4—61no—
731C4—62no—
732C4—61no—
733C4—61no—
734C4—121no—
735C4—121no—
736C4—121no—
737C4—361no—
738C4—361no—
739C4—361no—
740C4—361no—
741C4D3×#23511yescharacteristic
742C4#6433011yescharacteristic
743C3—21no—
744C3#7881011yescharacteristic, complemented
745C3#7951111yescharacteristic, complemented
746C2—22no—
747C2—121no—
748C2C2×#6380011yescharacteristic
749C2#1059469111yescharacteristic
750C2#1059507311yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC22×C32×C8C22
socleC22×C32C22×D4
prime radicalC2×C3×#67D4
hypercenterC22×C8D32
hypocenterC32#3312
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×C8

Complements

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

NH ≅ G/Ntype
3. #10592815C2semidirect
5. C2×C3×#816C2semidirect
6. #10591186C2semidirect
7. #10591124C2semidirect
8. #10590952C2semidirect
9. #10590948C2semidirect
10. #10590898C2semidirect
11. #10590849C2semidirect
12. #10590811C2semidirect
13. #10590808C2semidirect
14. #10590794C2semidirect
15. #10590710C2semidirect
74. C2×#816D3semidirect
670. C32#3312semidirect
744. C3#78810semidirect
745. C3#79511semidirect

Maximal subgroups

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

subgroupindex
Dic6×#672
#105948492
#105928152
C3×#51112
C2×C3×#8162
#105911862
#105911242
#105909522
#105909482
#105908982
#105908492
#105908112
#105908082
#105907942
#105907102
#795113
#788103