Finite Group Databasebeta

← #10816046

Subgroups — #10816046

Order 768.

1074 conjugacy classes of subgroups.

The subgroup lattice has 780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#83797C211yesmaximal, characteristic, complemented
2C2×#4822C211yesmaximal, characteristic
3#78831C211yesmaximal, characteristic, complemented
4#78820C211yesmaximal, characteristic, complemented
5#78560C211yesmaximal, characteristic, complemented
6C3×#1764C211yesmaximal, characteristic, complemented
7#72018C211yesmaximal, characteristic, complemented
8#70363C211yesmaximal, characteristic, complemented
9#69892C211yesmaximal, characteristic, complemented
10#69789C211yesmaximal, characteristic, complemented
11#69772C211yesmaximal, characteristic, complemented
12#68948C211yesmaximal, characteristic, complemented
13#68931C211yesmaximal, characteristic, complemented
14#68771C211yesmaximal, characteristic, complemented
15#68760C211yesmaximal, characteristic, complemented
16#22897—31nomaximal, Sylow
17C2×#1009C2211yescharacteristic
18C2×C3×#131C2211yescharacteristic
19#5827C2211yescharacteristic
20C2×#949C2211yescharacteristic
21C2×#908C2211yescharacteristic
22C2×#901C2211yescharacteristic
23#5523C2211yescharacteristic
24#5521C2211yescharacteristic, complemented
25C2×#874C2211yescharacteristic
26C2×C3×#104C2211yescharacteristic
27C3×#416C2211yescharacteristic
28C3×#405C2211yescharacteristic, complemented
29C2×C3×C4×C8C2211yescharacteristic, complemented
30#5232C2211yescharacteristic
31#5133—21no—
32#5133C2211yescharacteristic
33#5131—21no—
34#5131C2211yescharacteristic
35C2×#823C2211yescharacteristic
36C2×#823C2211yescharacteristic, complemented
37#5121C2211yescharacteristic, complemented
38#5113—21no—
39#5113C2211yescharacteristic
40C2×#821—21no—
41C2×#821C2211yescharacteristic
42C2×#821C2211yescharacteristic
43C2×#821C2211yescharacteristic, complemented
44C2×#821C2211yescharacteristic, complemented
45#5101C2211yescharacteristic, complemented
46#5001C2211yescharacteristic
47#4995C2211yescharacteristic, complemented
48#4935C2211yescharacteristic, complemented
49C2×#805C2211yescharacteristic
50#4822C418yescomplemented
51#4817—21no—
52#4804—21no—
53#4803—21no—
54#4788—21no—
55#4785—21no—
56#4770—21no—
57D3×#102—21no—
58#4756—21no—
59#4711—21no—
60#4710—21no—
61C4×D24—21no—
62C4×#204—21no—
63C3×#341C2211yescharacteristic, complemented
64C3×#339C2211yescharacteristic, complemented
65#4554C2211yescharacteristic, complemented
66#4554C2211yescharacteristic, complemented
67#4552C2211yescharacteristic, complemented
68#4523C2211yescharacteristic, complemented
69C2×#453—31no—
70#2946—31no—
71#2946—31no—
72#2897—31no—
73#2897—31no—
74#1957—31no—
75#1931—31no—
76#1931—31no—
77#1907—31no—
78#1907—31no—
79#1887—31no—
80#1859—31no—
81#1859—31no—
82#1764—31no—
83#1764D311yescharacteristic, complemented
84C2×C3×#41C2311yescharacteristic
85#1009—22no—
86#1009—22no—
87#1009—41no—
88#1009C2×C414yescomplemented
89C2×#239—21no—
90C2×D3×D4—21no—
91C2×D3×D4—41no—
92C2×#235—21no—
93C2×#235C2311yescharacteristic
94C22×D12—21no—
95C22×D12—41no—
96C22×D12C2311yescharacteristic
97C22×D12C2311yescharacteristic
98C3×#131—22no—
99C3×#131—41no—
100C2×C3×M16—21no—
101C2×C3×M16C2311yescharacteristic
102C2×C3×M16C2311yescharacteristic
103C22×C3×C8—21no—
104C22×C3×C8C2311yescharacteristic
105C22×C3×C8C2311yescharacteristic
106C3×#117C2311yescharacteristic
107C2×C3×C42C2311yescharacteristic
108#949—22no—
109#949C2×C414yescomplemented
110Q8×Dic3—21no—
111C2×#215—21no—
112D4×Dic3—21no—
113D4×Dic3—41no—
114C2×#213—21no—
115#926—21no—
116#926C2311yescharacteristic
117C2×C4⋊Dic3—21no—
118C2×C4⋊Dic3—41no—
119C2×C4⋊Dic3C2311yescharacteristic
120C2×C4⋊Dic3C2311yescharacteristic
121C2×#208C2311yescharacteristic
122C2×#208C2311yescharacteristic
123#908—22no—
124#908C2×C414yescomplemented
125C2×D24—21no—
126C2×#204—21no—
127#901—22no—
128#901—41no—
129C2×ΓL(1,𝔽25)—21no—
130C2×D3×C8—21no—
131#893—21no—
132#893—21no—
133#892—21no—
134D3×C4⋊C4—21no—
135#67⋊C4—41no—
136D3×C22⋊C4—41no—
137#874—41no—
138#874C2×C414yescomplemented
139C4×D12—21no—
140C4×D12—21no—
141C4×D12—21no—
142C4×Dic6—21no—
143C3×#104C2×C414yescomplemented
144C3×#103D411yescharacteristic, complemented
145C3×#103D411yescharacteristic, complemented
146C3×#102D411yescharacteristic, complemented
147C3×#102D411yescharacteristic, complemented
148C3×#97—21no—
149C3×C4×C8—21no—
150C3×C4×C8—41no—
151#835—21no—
152#832—21no—
153#823—41no—
154#823C2×C414yescomplemented
155#821—21no—
156#821—21no—
157#821—21no—
158#821—21no—
159#821—21no—
160#821—21no—
161#821—21no—
162#821—21no—
163#821—21no—
164#821—21no—
165#821—21no—
166#821D411yescharacteristic, complemented
167#821D411yescharacteristic, complemented
168#818—21no—
169#817—21no—
170#816—21no—
171#816D411yescharacteristic, complemented
172#816D411yescharacteristic, complemented
173#815—21no—
174C8×Dic3—21no—
175#809—21no—
176#809—21no—
177#808—21no—
178#807—21no—
179#805C2×C414yescomplemented
180C2×H(5,𝔽2)—31no—
181C2×AGL(1,ℤ/8)—31no—
182C2×AGL(1,ℤ/8)—31no—
183C2×#131—31no—
184C2×#131C2×D311yescharacteristic
185C2×#127—31no—
186#520—31no—
187#520—31no—
188#518—31no—
189#453—38no—
190#442—61no—
191#442—61no—
192#440—61no—
193#440—61no—
194C4×SD16—61no—
195C4×SD16—61no—
196C4×D8—61no—
197C4×D8—61no—
198#428—31no—
199#428—31no—
200C2×#104—31no—
201C2×#104C2×D311yescharacteristic
202#418—31no—
203#418—31no—
204#418—61no—
205#418—61no—
206#417—31no—
207#417—31no—
208#417—61no—
209#417—61no—
210#416—31no—
211#416—61no—
212#416—61no—
213#416C2×D311yescharacteristic
214C2×#102—31no—
215C2×#102—31no—
216C2×#102—31no—
217C2×#102—31no—
218C2×#102—61no—
219C2×#102—61no—
220C2×#100—31no—
221C2×#100—31no—
222#405—31no—
223#405C2×D311yescharacteristic, complemented
224C2×C4×C8C2×D311yescharacteristic, complemented
225#384—31no—
226#343—31no—
227#343—31no—
228#341—31no—
229#341C2×D311yescharacteristic, complemented
230#339—31no—
231#339C2×D311yescharacteristic, complemented
232C23×D3—21no—
233C23×D3—21no—
234C23×D3—41no—
235C3×#41—21no—
236C3×#41—21no—
237C3×#41C22×C412yes—
238C3×#41#4112yes—
239C2×C3×Q8C2×D411yescharacteristic
240C2×C3×D4—21no—
241C2×C3×D4C2×D411yescharacteristic
242C22×C3×C4—21no—
243C22×C3×C4—21no—
244C22×C3×C4C2411yescharacteristic
245C2×#67—21no—
246C2×#67—41no—
247C22×Dic3—21no—
248C22×Dic3—21no—
249C22×Dic3—41no—
250#239—24no—
251#239—42no—
252D3×D4—24no—
253D3×D4—42no—
254D3×D4—44no—
255D3×D4—44no—
256#235—21no—
257#235—21no—
258#235—24no—
259#235—42no—
260#235C22×C412yes—
261#235#4112yes—
262C2×D12—21no—
263C2×D12—21no—
264C2×D12—21no—
265C2×D12—21no—
266C2×D12—21no—
267C2×D12—21no—
268C2×D12—21no—
269C2×D12—21no—
270C2×D12—24no—
271C2×D12—21no—
272C2×D12—21no—
273C2×D12—42no—
274C2×D12—41no—
275C2×D12—44no—
276C2×D12—82no—
277C2×D12—82no—
278C2×D12C22×C412yes—
279C2×D12C22×C412yes—
280C2×D12C2×D411yescharacteristic
281C2×C4×D3—21no—
282C2×C4×D3—41no—
283C2×C4×D3—41no—
284C2×C4×D3—41no—
285C2×C4×D3—41no—
286C2×Dic6C2×D411yescharacteristic
287C3×M16—21no—
288C3×M16—21no—
289C3×M16—21no—
290C3×M16—42no—
291C3×M16C22×C412yes—
292C2×C3×C8—21no—
293C2×C3×C8—21no—
294C2×C3×C8—21no—
295C2×C3×C8—21no—
296C2×C3×C8—21no—
297C2×C3×C8—21no—
298C2×C3×C8—42no—
299C2×C3×C8C2×D411yescharacteristic
300C2×C3×C8C2×D411yescharacteristic
301C2×C3×C8C2×D411yescharacteristic
302C2×C3×C8C2×D411yescharacteristic
303C3×C4⋊C4C2×D411yescharacteristic
304C3×C4⋊C4C2×D411yescharacteristic
305C3×C22⋊C4—21no—
306C3×C42—21no—
307C3×C42—21no—
308C3×C42C22×C412yes—
309#217—21no—
310#217—41no—
311#215—24no—
312#213—24no—
313(C2×D3)⋊C4—41no—
314(C2×D3)⋊C4—41no—
315(C2×D3)⋊C4—41no—
316C4⋊Dic3—21no—
317C4⋊Dic3—21no—
318C4⋊Dic3—21no—
319C4⋊Dic3—21no—
320C4⋊Dic3—41no—
321C4⋊Dic3—82no—
322C4⋊Dic3C2×D411yescharacteristic
323C4⋊Dic3C2×D411yescharacteristic
324Dic3⋊C4—41no—
325C4×Dic3—21no—
326C4×Dic3—41no—
327C4×Dic3—41no—
328#208—21no—
329#208—21no—
330#208—21no—
331#208C22×C412yes—
332C2×C3⋊C8—21no—
333C2×C3⋊C8—21no—
334D24—24no—
335#204—24no—
336ΓL(1,𝔽25)—42no—
337D3×C8—42no—
338H(5,𝔽2)—34no—
339H(5,𝔽2)—62no—
340H(5,𝔽2)—62no—
341H(5,𝔽2)—121no—
342C2×#41—31no—
343C2×#41—61no—
344C2×#41—61no—
345C2×#41C22×D311yescharacteristic
346C22×D4—31no—
347C22×D4—31no—
348C22×D4—61no—
349C22×D4—61no—
350C22×D4—121no—
351C22×D4—121no—
352AGL(1,ℤ/8)—34no—
353AGL(1,ℤ/8)—34no—
354AGL(1,ℤ/8)—62no—
355AGL(1,ℤ/8)—62no—
356C2×SD16—61no—
357C2×SD16—61no—
358C2×D8—61no—
359C2×D8—61no—
360#131—22no—
361#131—41no—
362#131—62no—
363#131—121no—
364C2×M16—21no—
365C2×M16—31no—
366C2×M16—31no—
367C2×M16—61no—
368C2×M16C22×D311yescharacteristic
369C2×M16C22×D311yescharacteristic
370C22×C8—21no—
371C22×C8—61no—
372C22×C8C22×D311yescharacteristic
373C22×C8C22×D311yescharacteristic
374#127—34no—
375#127—121no—
376C4×Q8—61no—
377C4×Q8—61no—
378C4×D4—61no—
379C4×D4—61no—
380C4×D4—61no—
381C4×D4—61no—
382C4×D4—61no—
383C4×D4—61no—
384C4×D4—121no—
385C4×D4—121no—
386#117—31no—
387#117—61no—
388#117—61no—
389#117C22×D311yescharacteristic
390C2×C4⋊C4—31no—
391C2×C4⋊C4—31no—
392C2×C4⋊C4—61no—
393C2×C4⋊C4—61no—
394C2×C4⋊C4—121no—
395C2×C22⋊C4—121no—
396C2×C42C22×D311yescharacteristic
397#107—61no—
398#107—61no—
399#106—61no—
400#106—61no—
401#104—34no—
402#104C4×D314yescomplemented
403#103—31no—
404#103—31no—
405#103—61no—
406#103—61no—
407#103D1211yescharacteristic, complemented
408#103D1211yescharacteristic, complemented
409#102—31no—
410#102—31no—
411#102—61no—
412#102—61no—
413#102—61no—
414#102—61no—
415#102—61no—
416#102—61no—
417#102—61no—
418#102—61no—
419#102—61no—
420#102—61no—
421#102—61no—
422#102—61no—
423#102—61no—
424#102—61no—
425#102D1211yescharacteristic, complemented
426#102D1211yescharacteristic, complemented
427#100—34no—
428#100—121no—
429#97—21no—
430#97—61no—
431C4×C8—21no—
432C4×C8—41no—
433C4×C8—61no—
434C23×C3—21no—
435C23×C3H(5,𝔽2)11yescharacteristic
436C22×D3—21no—
437C22×D3—22no—
438C22×D3—22no—
439C22×D3—44no—
440C22×D3—41no—
441C22×D3—41no—
442C22×D3—41no—
443C22×D3—41no—
444C22×D3—81no—
445C22×D3—81no—
446C22×D3—81no—
447C22×D3—81no—
448C22×D3—161no—
449C22×D3—161no—
450C3×Q8—21no—
451C3×Q8C4×D412yes—
452C3×D4—22no—
453C3×D4—22no—
454C3×D4—21no—
455C3×D4C4×D412yes—
456C2×C3×C4—22no—
457C2×C3×C4—22no—
458C2×C3×C4—22no—
459C2×C3×C4—21no—
460C2×C3×C4—22no—
461C2×C3×C4—22no—
462C2×C3×C4—21no—
463C2×C3×C4—21no—
464C2×C3×C4C23×C411yescharacteristic
465C2×C3×C4C22×D411yescharacteristic
466C2×C3×C4C22×D411yescharacteristic
467C2×C3×C4C2×#4111yescharacteristic
468C2×C3×C4C2×#4111yescharacteristic
469C2×C3×C4H(5,𝔽2)11yescharacteristic
470#67—22no—
471#67—22no—
472#67—44no—
473C2×Dic3—21no—
474C2×Dic3—21no—
475C2×Dic3—21no—
476C2×Dic3—41no—
477C2×Dic3—41no—
478C2×Dic3—81no—
479C2×Dic3—81no—
480C2×Dic3—161no—
481D12—22no—
482D12—22no—
483D12—22no—
484D12—22no—
485D12—21no—
486D12—44no—
487D12—41no—
488D12—41no—
489D12—41no—
490D12—41no—
491D12—88no—
492D12C4×D412yes—
493C4×D3—22no—
494C4×D3—22no—
495C4×D3—44no—
496C4×D3—161no—
497C4×D3—161no—
498C4×D3—161no—
499Dic6—21no—
500Dic6C4×D412yes—
501C3×C8—22no—
502C3×C8—21no—
503C3×C8—21no—
504C3×C8—21no—
505C3×C8—21no—
506C3×C8—41no—
507C3⋊C8—22no—
508C3⋊C8—41no—
509C24—61no—
510C24—61no—
511C24—121no—
512#41—21no—
513#41—21no—
514#41—32no—
515#41—32no—
516#41—64no—
517#41—61no—
518#41—61no—
519#41—64no—
520#41—122no—
521#41—122no—
522#41C2×C4×D312yes—
523#41#23512yes—
524C2×Q8—31no—
525C2×Q8C2×D1211yescharacteristic
526C2×D4—21no—
527C2×D4—32no—
528C2×D4—32no—
529C2×D4—31no—
530C2×D4—64no—
531C2×D4—61no—
532C2×D4—64no—
533C2×D4—61no—
534C2×D4—61no—
535C2×D4—61no—
536C2×D4—61no—
537C2×D4—61no—
538C2×D4—61no—
539C2×D4—61no—
540C2×D4—61no—
541C2×D4—61no—
542C2×D4—61no—
543C2×D4—122no—
544C2×D4—121no—
545C2×D4—124no—
546C2×D4—122no—
547C2×D4—121no—
548C2×D4—124no—
549C2×D4—124no—
550C2×D4—242no—
551C2×D4—242no—
552C2×D4C2×D1211yescharacteristic
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—61no—
556C22×C4—61no—
557C22×C4—61no—
558C22×C4—121no—
559C22×C4—121no—
560C22×C4—121no—
561C22×C4—121no—
562C22×C4—121no—
563C22×C4C23×D311yescharacteristic
564SD16—64no—
565SD16—64no—
566D8—64no—
567D8—64no—
568M16—21no—
569M16—21no—
570M16—21no—
571M16—32no—
572M16—42no—
573M16—61no—
574M16—61no—
575M16—61no—
576M16—122no—
577M16C2×C4×D312yes—
578C2×C8—21no—
579C2×C8—21no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—21no—
583C2×C8—21no—
584C2×C8—42no—
585C2×C8—61no—
586C2×C8—61no—
587C2×C8—122no—
588C2×C8C2×D1211yescharacteristic
589C2×C8C2×D1211yescharacteristic
590C2×C8D3×D411yescharacteristic
591C2×C8D3×D411yescharacteristic
592C4⋊C4—31no—
593C4⋊C4—31no—
594C4⋊C4—61no—
595C4⋊C4—61no—
596C4⋊C4—61no—
597C4⋊C4—61no—
598C4⋊C4—121no—
599C4⋊C4—121no—
600C4⋊C4—242no—
601C4⋊C4C2×D1211yescharacteristic
602C4⋊C4C2×D1211yescharacteristic
603C22⋊C4—21no—
604C22⋊C4—61no—
605C22⋊C4—121no—
606C22⋊C4—121no—
607C22⋊C4—121no—
608C22⋊C4—121no—
609C42—21no—
610C42—21no—
611C42—61no—
612C42—121no—
613C42—121no—
614C42C2×C4×D312yes—
615C22×C3—21no—
616C22×C3—21no—
617C22×C3—22no—
618C22×C3—41no—
619C22×C3—41no—
620C22×C3#51811yescharacteristic
621C22×C3D4211yescharacteristic
622C22×C3#55111yescharacteristic
623C2×D3—22no—
624C2×D3—41no—
625C2×D3—41no—
626C2×D3—42no—
627C2×D3—42no—
628C2×D3—81no—
629C2×D3—81no—
630C2×D3—81no—
631C2×D3—81no—
632C2×D3—82no—
633C2×D3—82no—
634C2×D3—164no—
635C2×D3—161no—
636C2×D3—161no—
637C3×C4—24no—
638C3×C4—22no—
639C3×C4—41no—
640C3×C4—41no—
641C3×C4C2×C4×D411yescharacteristic
642C3×C4C2×C4×D411yescharacteristic
643C3×C4#54611yescharacteristic
644C3×C4#54611yescharacteristic
645Dic3—22no—
646Dic3—41no—
647Dic3—41no—
648Dic3—81no—
649Dic3—81no—
650C23—21no—
651C23—61no—
652C23—62no—
653C23—62no—
654C23—124no—
655C23—121no—
656C23—121no—
657C23—121no—
658C23—121no—
659C23—241no—
660C23—241no—
661C23—241no—
662C23—241no—
663C23—481no—
664C23—481no—
665C23#100911yescharacteristic
666Q8—21no—
667Q8—32no—
668Q8—61no—
669Q8C4×D1212yes—
670D4—22no—
671D4—22no—
672D4—21no—
673D4—32no—
674D4—62no—
675D4—62no—
676D4—62no—
677D4—62no—
678D4—61no—
679D4—62no—
680D4—62no—
681D4—124no—
682D4—124no—
683D4—121no—
684D4—121no—
685D4—121no—
686D4—121no—
687D4—248no—
688D4C4×D1212yes—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—21no—
693C2×C4—22no—
694C2×C4—22no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—61no—
698C2×C4—62no—
699C2×C4—62no—
700C2×C4—61no—
701C2×C4—61no—
702C2×C4—124no—
703C2×C4—121no—
704C2×C4—121no—
705C2×C4—241no—
706C2×C4—241no—
707C2×C4—481no—
708C2×C4—481no—
709C2×C4—481no—
710C2×C4—481no—
711C2×C4C22×C4×D311yescharacteristic
712C2×C4C22×D1211yescharacteristic
713C2×C4C2×#23511yescharacteristic
714C2×C4C2×D3×D411yescharacteristic
715C2×C4#100411yescharacteristic
716C2×C4D3×#4111yescharacteristic
717C8—21no—
718C8—21no—
719C8—22no—
720C8—21no—
721C8—21no—
722C8—41no—
723C8—62no—
724C8—121no—
725C2×C3—21no—
726C2×C3—21no—
727C2×C3—42no—
728C2×C3#235811yescharacteristic
729C2×C3#329111yescharacteristic
730C2×C3#329211yescharacteristic
731D3—42no—
732D3—82no—
733D3—82no—
734C22—21no—
735C22—21no—
736C22—22no—
737C22—41no—
738C22—41no—
739C22—62no—
740C22—121no—
741C22—121no—
742C22—122no—
743C22—122no—
744C22—242no—
745C22—242no—
746C22—241no—
747C22—241no—
748C22—241no—
749C22—241no—
750C22—481no—
751C22—481no—
752C22—484no—
753C22#552711yescharacteristic
754C22#554511yescharacteristic
755C22D4×D1211yescharacteristic
756C4—24no—
757C4—22no—
758C4—41no—
759C4—41no—
760C4—62no—
761C4—121no—
762C4—121no—
763C4—241no—
764C4—241no—
765C4C2×C4×D1211yescharacteristic
766C4#549011yescharacteristic
767C4C4×D3×D411yescharacteristic
768C4#555411yescharacteristic
769C3#2289711yescharacteristic, complemented, Sylow
770C2—21no—
771C2—21no—
772C2—42no—
773C2—122no—
774C2—242no—
775C2—242no—
776C2#7357711yescharacteristic
777C2#7989311yescharacteristic
778C2#7989411yescharacteristic
subgroupG/H
centerC22D4×D12
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×#1764C2
socleC22×C3D42
prime radicalC2×#4822C2
cosocleC22×C3×C4C24
hypercenter#1764D3
hypocenterC3#22897
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1764

Complements

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

NH ≅ G/Ntype
1. #83797C2semidirect
3. #78831C2semidirect
4. #78820C2semidirect
5. #78560C2semidirect
6. C3×#1764C2semidirect
7. #72018C2semidirect
8. #70363C2semidirect
9. #69892C2semidirect
10. #69789C2semidirect
11. #69772C2semidirect
12. #68948C2semidirect
13. #68931C2semidirect
14. #68771C2semidirect
15. #68760C2semidirect
24. #5521C22semidirect
28. C3×#405C22semidirect
29. C2×C3×C4×C8C22semidirect
36. C2×#823C22semidirect
37. #5121C22semidirect
43. C2×#821C22semidirect
44. C2×#821C22semidirect
45. #5101C22semidirect
47. #4995C22semidirect
48. #4935C22semidirect
50. #4822C4semidirect
63. C3×#341C22semidirect
64. C3×#339C22semidirect
65. #4554C22semidirect
66. #4554C22semidirect
67. #4552C22semidirect
68. #4523C22semidirect
83. #1764D3semidirect
88. #1009C2×C4semidirect
109. #949C2×C4semidirect
124. #908C2×C4semidirect
138. #874C2×C4semidirect
143. C3×#104C2×C4semidirect
144. C3×#103D4semidirect
145. C3×#103D4semidirect
146. C3×#102D4semidirect
147. C3×#102D4semidirect
154. #823C2×C4semidirect
166. #821D4semidirect
167. #821D4semidirect
171. #816D4semidirect
172. #816D4semidirect
179. #805C2×C4semidirect
223. #405C2×D3semidirect
224. C2×C4×C8C2×D3semidirect
229. #341C2×D3semidirect
231. #339C2×D3semidirect
402. #104C4×D3semidirect
407. #103D12semidirect
408. #103D12semidirect
425. #102D12semidirect
426. #102D12semidirect
769. C3#22897semidirect

Maximal subgroups

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

subgroupindex
#837972
C2×#48222
#788312
#788202
#785602
C3×#17642
#720182
#703632
#698922
#697892
#697722
#689482
#689312
#687712
#687602
#228973