Finite Group Databasebeta

← #10828741

Subgroups — #10828741

Order 768.

984 conjugacy classes of subgroups.

The subgroup lattice has 810 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#85970C211yesmaximal, characteristic
2C3×#2499C211yesmaximal, characteristic, complemented
3#82216C211yesmaximal, characteristic
4#82207C211yesmaximal, characteristic, complemented
5#71698C211yesmaximal, characteristic, complemented
6#69695C211yesmaximal, characteristic, complemented
7#69695C211yesmaximal, characteristic, complemented
8#69672C211yesmaximal, characteristic, complemented
9#69672C211yesmaximal, characteristic, complemented
10#69592C211yesmaximal, characteristic, complemented
11#69573C211yesmaximal, characteristic, complemented
12#69562C211yesmaximal, characteristic, complemented
13#69543C211yesmaximal, characteristic, complemented
14#69453C211yesmaximal, characteristic
15#69442C211yesmaximal, characteristic, complemented
16#24087—31nomaximal, Sylow
17C2×C3×C22⋊Q8C2211yescharacteristic
18C2×C3×#117C2211yescharacteristic
19#5816C2211yescharacteristic
20#5812C2211yescharacteristic
21#5791C2211yescharacteristic
22C2×#926C2211yescharacteristic
23C22×#208C2211yescharacteristic
24#5643—21no—
25#5642—21no—
26#5641—21no—
27#5639—21no—
28#5635—21no—
29#5625—21no—
30#5624—21no—
31#5622—21no—
32#5513—22no—
33#5504C2211yescharacteristic
34#5500C2211yescharacteristic
35#5495—22no—
36C3×#397—22no—
37C3×#391C2211yescharacteristic
38C3×#391C2211yescharacteristic
39C3×#387—22no—
40C3×#384C2211yescharacteristic
41C3×#382C2211yescharacteristic
42C3×C4×C22⋊C4C2211yescharacteristic
43C2×#836C2211yescharacteristic
44C2×#836C2211yescharacteristic
45#5207C2211yescharacteristic
46#5003—21no—
47#5003—21no—
48#4998—21no—
49#4998—21no—
50#4996—21no—
51#4996—21no—
52#4995—21no—
53#4995—21no—
54#4966C2211yescharacteristic
55#4966C2211yescharacteristic
56#4964C2211yescharacteristic
57#4964C2211yescharacteristic
58#4964C2211yescharacteristic
59#4964C2211yescharacteristic
60#4964C2211yescharacteristic
61#4964C2211yescharacteristic
62C2×#805C2211yescharacteristic
63C2×#805C2211yescharacteristic
64#4530C2211yescharacteristic
65#4530C2211yescharacteristic
66#4523C2211yescharacteristic
67#4523C2211yescharacteristic
68#4523C2211yescharacteristic
69#4523C2211yescharacteristic
70#4523C2211yescharacteristic
71#4523C2211yescharacteristic
72#3495—31no—
73#3093—31no—
74#2911—31no—
75#2499D311yescharacteristic, complemented
76#2061—31no—
77#2060—31no—
78#2038—31no—
79#2038—31no—
80#1901—31no—
81#1871—31no—
82#1860—31no—
83#1859—31no—
84#1857—31no—
85#1857—31no—
86#1826—31no—
87C22×C3×Q8C2311yescharacteristic
88C23×C3×C4C2311yescharacteristic
89C2×#235C2311yescharacteristic
90C3×C22⋊Q8—21no—
91C3×C22⋊Q8—21no—
92C3×C22⋊Q8—21no—
93C3×C22⋊Q8—21no—
94C3×#117—21no—
95C3×#117—21no—
96C3×#117—21no—
97C3×#117—21no—
98C2×C3×C4⋊C4—22no—
99C2×C3×C4⋊C4D412yes—
100C2×C3×C4⋊C4C2311yescharacteristic
101C2×C3×C4⋊C4C2311yescharacteristic
102C2×C3×C4⋊C4C2311yescharacteristic
103C2×C3×C22⋊C4—21no—
104C2×C3×C22⋊C4—21no—
105C2×C3×C22⋊C4D412yes—
106C2×C3×C42—21no—
107C2×C3×C42C2311yescharacteristic
108C2×C3×C42C2311yescharacteristic
109#953—21no—
110C2×#217—21no—
111#947—21no—
112#946—21no—
113#946—21no—
114Q8×Dic3—21no—
115Q8×Dic3—21no—
116Q8×Dic3—21no—
117Q8×Dic3—21no—
118#944—21no—
119#930D411yescharacteristic
120#930D411yescharacteristic
121#929—22no—
122#929—21no—
123C4×#67—21no—
124C4×#67—21no—
125C4×#67—22no—
126#926—21no—
127#926—22no—
128#926—21no—
129#926D411yescharacteristic
130#926D411yescharacteristic
131#926C2311yescharacteristic
132#926C2311yescharacteristic
133#926C2311yescharacteristic
134C2×C4⋊Dic3D411yescharacteristic
135C2×C4⋊Dic3D411yescharacteristic
136#924—22no—
137#924D411yescharacteristic
138#924D411yescharacteristic
139C2×C4×Dic3—21no—
140C2×#208—21no—
141C2×#208—22no—
142C2×#208—22no—
143C2×#208C2311yescharacteristic
144C2×#208C2311yescharacteristic
145C2×#208C2311yescharacteristic
146C2×#208C2311yescharacteristic
147C22×C3⋊C8—21no—
148#898—22no—
149#898—22no—
150#897—22no—
151#893—21no—
152#892—22no—
153#892—21no—
154D3×C4⋊C4—21no—
155#890—22no—
156#890—21no—
157#890—21no—
158#889—22no—
159#889—22no—
160#888—21no—
161#888—21no—
162#887—22no—
163#887—21no—
164#886—22no—
165#885—22no—
166#883—22no—
167#67⋊C4—22no—
168#879—22no—
169#879—22no—
170#878—22no—
171#877—22no—
172C3×#95—21no—
173C3×#95—22no—
174C3×#95—22no—
175C3×#95—22no—
176#836—22no—
177#836—22no—
178#830—21no—
179#830—21no—
180#810—21no—
181#810—21no—
182#809—21no—
183#809—21no—
184#808—21no—
185#808—21no—
186#808—21no—
187#808—21no—
188#808—21no—
189#808—21no—
190#807—21no—
191#807—21no—
192#807—21no—
193#807—21no—
194#807—21no—
195#807—21no—
196#805—22no—
197#805—22no—
198C22×M16—31no—
199#556—61no—
200#554—61no—
201#552—61no—
202#552—61no—
203#552—62no—
204#551—62no—
205#544—31no—
206#542—61no—
207#541—61no—
208#536—31no—
209#533—61no—
210#529—61no—
211#525—31no—
212C2×C22⋊Q8C2×D311yescharacteristic
213#520—31no—
214#519—31no—
215C2×#117—31no—
216C2×#117C2×D311yescharacteristic
217#485—61no—
218#485—61no—
219#482—61no—
220#482—61no—
221#428—31no—
222#428—31no—
223#428—31no—
224#428—31no—
225#428—31no—
226#428—31no—
227#428—61no—
228#428—61no—
229#427—61no—
230#427—61no—
231C2×#104—31no—
232C2×#104—31no—
233#417—31no—
234#417—31no—
235C2×#101—31no—
236C2×#101—31no—
237#407—31no—
238#397—22no—
239#391C2×D311yescharacteristic
240#391C2×D311yescharacteristic
241#387—22no—
242#384C2×D311yescharacteristic
243#382C2×D311yescharacteristic
244C4×C22⋊C4C2×D311yescharacteristic
245#343—31no—
246#343—31no—
247#339—31no—
248#339—31no—
249#339—31no—
250#339—31no—
251#339—31no—
252#339—31no—
253C24×C3C2×D411yescharacteristic
254C2×C3×Q8—21no—
255C2×C3×Q8—21no—
256C2×C3×Q8—21no—
257C2×C3×Q8—21no—
258C2×C3×Q8—21no—
259C2×C3×Q8—21no—
260C22×C3×C4—21no—
261C22×C3×C4—21no—
262C22×C3×C4—21no—
263C22×C3×C4—21no—
264C22×C3×C4—21no—
265C22×C3×C4—21no—
266C22×C3×C4—21no—
267C22×C3×C4—21no—
268C22×C3×C4C2×D411yescharacteristic
269C22×C3×C4C2×D411yescharacteristic
270C22×C3×C4C2×D411yescharacteristic
271C22×C3×C4C2×D411yescharacteristic
272C22×C3×C4C2×D412yes—
273C22×C3×C4C2×D411yescharacteristic
274C22×C3×C4C2×D412yes—
275C22×C3×C4C2411yescharacteristic
276C2×#67—21no—
277C2×#67—21no—
278C2×#67—21no—
279C22×Dic3—21no—
280C22×Dic3—21no—
281#235—21no—
282#235—21no—
283#235—21no—
284#235—21no—
285C2×D12C2×D411yescharacteristic
286C2×C4×D3—21no—
287C2×C4×D3—22no—
288C2×Dic6—22no—
289C2×Dic6C2×D411yescharacteristic
290C3×C4⋊C4—22no—
291C3×C4⋊C4—22no—
292C3×C4⋊C4—21no—
293C3×C4⋊C4—21no—
294C3×C4⋊C4—21no—
295C3×C4⋊C4—21no—
296C3×C4⋊C4—21no—
297C3×C4⋊C4—21no—
298C3×C4⋊C4—44no—
299C3×C22⋊C4—22no—
300C3×C22⋊C4—22no—
301C3×C22⋊C4—42no—
302C3×C22⋊C4—41no—
303C3×C22⋊C4—41no—
304C3×C42—21no—
305C3×C42—21no—
306C3×C42—21no—
307C3×C42—21no—
308C3×C42—41no—
309C3×C42—41no—
310#217—21no—
311#217—21no—
312#217—21no—
313#217—21no—
314#217—21no—
315#217—21no—
316#217—21no—
317(C2×D3)⋊C4—22no—
318(C2×D3)⋊C4—22no—
319(C2×D3)⋊C4—22no—
320(C2×D3)⋊C4—21no—
321(C2×D3)⋊C4—21no—
322C4⋊Dic3—22no—
323C4⋊Dic3—22no—
324C4⋊Dic3—22no—
325C4⋊Dic3—21no—
326C4⋊Dic3—21no—
327C4⋊Dic3C2×D411yescharacteristic
328C4⋊Dic3C2×D411yescharacteristic
329C4⋊Dic3C2×D411yescharacteristic
330C4⋊Dic3C2×D411yescharacteristic
331C4⋊Dic3C2×D411yescharacteristic
332C4⋊Dic3C2×D411yescharacteristic
333Dic3⋊C4—22no—
334Dic3⋊C4—22no—
335Dic3⋊C4—22no—
336Dic3⋊C4—22no—
337Dic3⋊C4—22no—
338Dic3⋊C4—21no—
339Dic3⋊C4—21no—
340C4×Dic3—22no—
341C4×Dic3—22no—
342C4×Dic3—22no—
343C4×Dic3—21no—
344C4×Dic3—21no—
345C4×Dic3—21no—
346C4×Dic3—21no—
347C4×Dic3—21no—
348#208—24no—
349#208—21no—
350#208—21no—
351#208—21no—
352#208—21no—
353#208—21no—
354#208—21no—
355#208#4112yes—
356#208#4112yes—
357C2×C3⋊C8—24no—
358C2×C3⋊C8—21no—
359C2×C3⋊C8—21no—
360C2×C3⋊C8—21no—
361C2×C3⋊C8—21no—
362C2×#41—31no—
363C22×Q8C22×D311yescharacteristic
364C23×C4C22×D311yescharacteristic
365C2×M16—31no—
366C2×M16—31no—
367C2×M16—31no—
368C2×M16—31no—
369C2×M16—62no—
370C2×M16—62no—
371C2×M16—61no—
372C22×C8—61no—
373C4⋊Q8—61no—
374C4⋊Q8—61no—
375C4⋊Q8—61no—
376#126—62no—
377#126—62no—
378#126—62no—
379#126—62no—
380#125—61no—
381#125—61no—
382#125—62no—
383#125—62no—
384#125—62no—
385#124—62no—
386#124—61no—
387#123—62no—
388#123—62no—
389#123—61no—
390#123—62no—
391C22⋊Q8—21no—
392C22⋊Q8—21no—
393C22⋊Q8—21no—
394C22⋊Q8—21no—
395C22⋊Q8—31no—
396C22⋊Q8—31no—
397C22⋊Q8—62no—
398C22⋊Q8—62no—
399C22⋊Q8—61no—
400C22⋊Q8—61no—
401C22⋊Q8—62no—
402#121—31no—
403#121—31no—
404#120—61no—
405C4×Q8—61no—
406C4×Q8—62no—
407C4×Q8—61no—
408C4×Q8—61no—
409C4×Q8—61no—
410C4×Q8—61no—
411C4×D4—62no—
412C4×D4—61no—
413C4×D4—61no—
414C4×D4—61no—
415C4×D4—62no—
416#117—21no—
417#117—21no—
418#117—21no—
419#117—21no—
420#117—31no—
421#117—31no—
422#117—31no—
423#117—31no—
424#117—31no—
425#117—62no—
426#117—61no—
427#117—62no—
428#117—61no—
429#117—61no—
430#117—62no—
431C2×C4⋊C4—22no—
432C2×C4⋊C4—31no—
433C2×C4⋊C4—31no—
434C2×C4⋊C4—61no—
435C2×C4⋊C4#6712yes—
436C2×C4⋊C4C22×D311yescharacteristic
437C2×C4⋊C4C22×D311yescharacteristic
438C2×C4⋊C4C22×D311yescharacteristic
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—61no—
442C2×C22⋊C4#6712yes—
443C2×C42—21no—
444C2×C42—61no—
445C2×C42C22×D311yescharacteristic
446C2×C42C22×D311yescharacteristic
447#107—61no—
448#107—61no—
449#107—61no—
450#107—61no—
451#107—61no—
452#107—61no—
453#106—61no—
454#106—61no—
455#106—61no—
456#106—61no—
457#106—61no—
458#106—61no—
459#104—62no—
460#104—62no—
461#103—61no—
462#103—61no—
463#102—61no—
464#102—61no—
465#101—62no—
466#101—62no—
467C22⋊C8—61no—
468C22⋊C8—61no—
469#95—21no—
470#95—22no—
471#95—22no—
472#95—22no—
473C23×C3—21no—
474C23×C3—21no—
475C23×C3—41no—
476C23×C3—41no—
477C23×C3#12011yescharacteristic
478C23×C3#12011yescharacteristic
479C23×C3C22×D411yescharacteristic
480C22×D3—21no—
481C3×Q8—41no—
482C3×Q8—41no—
483C3×Q8—41no—
484C3×Q8—41no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—21no—
494C2×C3×C4—21no—
495C2×C3×C4—22no—
496C2×C3×C4—22no—
497C2×C3×C4—22no—
498C2×C3×C4—22no—
499C2×C3×C4—22no—
500C2×C3×C4—41no—
501C2×C3×C4—41no—
502C2×C3×C4—42no—
503C2×C3×C4—41no—
504C2×C3×C4—42no—
505C2×C3×C4—41no—
506C2×C3×C4—42no—
507C2×C3×C4—41no—
508C2×C3×C4—41no—
509C2×C3×C4—41no—
510C2×C3×C4#12011yescharacteristic
511C2×C3×C4#12011yescharacteristic
512C2×C3×C4C22×D411yescharacteristic
513C2×C3×C4C22×D411yescharacteristic
514C2×C3×C4C2×#4111yescharacteristic
515C2×C3×C4C2×#4111yescharacteristic
516C2×C3×C42−1+411yescharacteristic
517C2×C3×C42−1+411yescharacteristic
518#67—42no—
519#67—41no—
520#67—41no—
521#67—81no—
522C2×Dic3—21no—
523C2×Dic3—21no—
524C2×Dic3—21no—
525C2×Dic3—21no—
526C2×Dic3—21no—
527C2×Dic3—21no—
528C2×Dic3—21no—
529C2×Dic3—42no—
530C2×Dic3—81no—
531D12—21no—
532D12—21no—
533C4×D3—41no—
534C4×D3—41no—
535C4×D3—82no—
536Dic6—21no—
537Dic6—21no—
538Dic6—82no—
539C3⋊C8—22no—
540C3⋊C8—22no—
541C3⋊C8—41no—
542C3⋊C8—41no—
543C24C2×#6711yescharacteristic
544#41—61no—
545#41—61no—
546#41—61no—
547#41—61no—
548C2×Q8—21no—
549C2×Q8—21no—
550C2×Q8—21no—
551C2×Q8—21no—
552C2×Q8—21no—
553C2×Q8—21no—
554C2×Q8—31no—
555C2×Q8—62no—
556C2×D4—31no—
557C2×D4—61no—
558C2×D4—61no—
559C2×D4—61no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—62no—
569C22×C4—61no—
570C22×C4—61no—
571C22×C4—61no—
572C22×C4D3×D411yescharacteristic
573C22×C4D3×D411yescharacteristic
574C22×C4D3×D411yescharacteristic
575C22×C4D3×D411yescharacteristic
576C22×C4C2×#6712yes—
577C22×C4C2×#6711yescharacteristic
578C22×C4C2×#6712yes—
579C22×C4C23×D311yescharacteristic
580M16—32no—
581M16—32no—
582M16—64no—
583M16—61no—
584M16—61no—
585M16—61no—
586M16—61no—
587M16—61no—
588M16—61no—
589C2×C8—64no—
590C2×C8—61no—
591C2×C8—61no—
592C2×C8—61no—
593C2×C8—61no—
594C4⋊C4—22no—
595C4⋊C4—22no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—21no—
601C4⋊C4—21no—
602C4⋊C4—31no—
603C4⋊C4—31no—
604C4⋊C4—31no—
605C4⋊C4—31no—
606C4⋊C4—31no—
607C4⋊C4—31no—
608C4⋊C4—44no—
609C4⋊C4—62no—
610C4⋊C4—62no—
611C4⋊C4—62no—
612C4⋊C4—62no—
613C4⋊C4—62no—
614C4⋊C4—62no—
615C4⋊C4—62no—
616C4⋊C4—62no—
617C4⋊C4—61no—
618C4⋊C4—61no—
619C4⋊C4—61no—
620C4⋊C4—61no—
621C22⋊C4—22no—
622C22⋊C4—22no—
623C22⋊C4—42no—
624C22⋊C4—41no—
625C22⋊C4—41no—
626C22⋊C4—62no—
627C22⋊C4—62no—
628C22⋊C4—62no—
629C22⋊C4—61no—
630C22⋊C4—61no—
631C22⋊C4—61no—
632C22⋊C4—61no—
633C22⋊C4—61no—
634C22⋊C4—61no—
635C22⋊C4—61no—
636C22⋊C4—61no—
637C22⋊C4—61no—
638C42—21no—
639C42—21no—
640C42—21no—
641C42—21no—
642C42—41no—
643C42—41no—
644C42—62no—
645C42—62no—
646C42—62no—
647C42—61no—
648C42—61no—
649C42—61no—
650C42—61no—
651C42—61no—
652C22×C3—21no—
653C22×C3—21no—
654C22×C3—21no—
655C22×C3—21no—
656C22×C3—21no—
657C22×C3—21no—
658C22×C3—21no—
659C22×C3—21no—
660C22×C3—81no—
661C22×C3—81no—
662C22×C3C2×#12011yescharacteristic
663C22×C3#54711yescharacteristic
664C22×C3#54711yescharacteristic
665C2×D3—41no—
666C2×D3—41no—
667C2×D3—41no—
668C3×C4—21no—
669C3×C4—21no—
670C3×C4—42no—
671C3×C4—42no—
672C3×C4—42no—
673C3×C4—81no—
674C3×C4—81no—
675C3×C4—81no—
676C3×C4#52511yescharacteristic
677C3×C4#53611yescharacteristic
678C3×C4#54711yescharacteristic
679C3×C4#54711yescharacteristic
680Dic3—41no—
681Dic3—41no—
682Dic3—41no—
683Dic3—41no—
684Dic3—41no—
685Dic3—41no—
686Dic3—41no—
687C23—21no—
688C23—21no—
689C23—41no—
690C23—41no—
691C23—61no—
692C23#93711yescharacteristic
693C23#93711yescharacteristic
694C23C22×#6711yescharacteristic
695Q8—41no—
696Q8—41no—
697Q8—41no—
698Q8—41no—
699Q8—61no—
700Q8—61no—
701Q8—242no—
702D4—61no—
703D4—61no—
704D4—122no—
705D4—121no—
706D4—121no—
707D4—241no—
708C2×C4—21no—
709C2×C4—21no—
710C2×C4—21no—
711C2×C4—21no—
712C2×C4—21no—
713C2×C4—21no—
714C2×C4—21no—
715C2×C4—21no—
716C2×C4—21no—
717C2×C4—21no—
718C2×C4—22no—
719C2×C4—22no—
720C2×C4—22no—
721C2×C4—22no—
722C2×C4—22no—
723C2×C4—41no—
724C2×C4—41no—
725C2×C4—42no—
726C2×C4—41no—
727C2×C4—42no—
728C2×C4—41no—
729C2×C4—42no—
730C2×C4—41no—
731C2×C4—41no—
732C2×C4—41no—
733C2×C4—61no—
734C2×C4—61no—
735C2×C4—61no—
736C2×C4—61no—
737C2×C4—61no—
738C2×C4—61no—
739C2×C4—61no—
740C2×C4—122no—
741C2×C4—121no—
742C2×C4—121no—
743C2×C4—242no—
744C2×C4—241no—
745C2×C4#93711yescharacteristic
746C2×C4#93711yescharacteristic
747C2×C4C2×D3×D411yescharacteristic
748C2×C4C2×D3×D411yescharacteristic
749C2×C4D3×#4111yescharacteristic
750C2×C4D3×#4111yescharacteristic
751C2×C4#101011yescharacteristic
752C2×C4#101011yescharacteristic
753C8—62no—
754C8—62no—
755C8—121no—
756C8—121no—
757C2×C3—21no—
758C2×C3—21no—
759C2×C3—41no—
760C2×C3—41no—
761C2×C3#240611yescharacteristic
762C2×C3#301811yescharacteristic
763C2×C3#302011yescharacteristic
764D3—81no—
765C22—21no—
766C22—21no—
767C22—21no—
768C22—21no—
769C22—21no—
770C22—21no—
771C22—21no—
772C22—21no—
773C22—81no—
774C22—81no—
775C22—121no—
776C22—121no—
777C22—121no—
778C22C2×#93711yescharacteristic
779C22#582411yescharacteristic
780C22#582411yescharacteristic
781C4—21no—
782C4—21no—
783C4—42no—
784C4—42no—
785C4—42no—
786C4—81no—
787C4—81no—
788C4—81no—
789C4—121no—
790C4—121no—
791C4—121no—
792C4—121no—
793C4—121no—
794C4—121no—
795C4—121no—
796C4#564811yescharacteristic
797C4#565511yescharacteristic
798C4#565511yescharacteristic
799C4#565611yescharacteristic
800C3#2408711yescharacteristic, complemented, Sylow
801C2—21no—
802C2—21no—
803C2—41no—
804C2—41no—
805C2—241no—
806C2#8284111yescharacteristic
807C2#8332211yescharacteristic
808C2#8341511yescharacteristic
subgroupG/H
centerC22C2×#937
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2499C2
socleC22×C3C2×#120
prime radical#5791C22
hypercenter#2499D3
hypocenterC3#24087
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C23×C4 ◁ #2499

Complements

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

NH ≅ G/Ntype
2. C3×#2499C2semidirect
4. #82207C2semidirect
5. #71698C2semidirect
6. #69695C2semidirect
7. #69695C2semidirect
8. #69672C2semidirect
9. #69672C2semidirect
10. #69592C2semidirect
11. #69573C2semidirect
12. #69562C2semidirect
13. #69543C2semidirect
15. #69442C2semidirect
75. #2499D3semidirect
800. C3#24087semidirect

Maximal subgroups

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

subgroupindex
#859702
C3×#24992
#822162
#822072
#716982
#696952
#696722
#695922
#695732
#695622
#695432
#694532
#694422
#240873