Finite Group Databasebeta

← #10816042

Subgroups — #10816042

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#79201C211yesmaximal, characteristic, complemented
2#78925C211yesmaximal, characteristic, complemented
3#78742C211yesmaximal, characteristic, complemented
4C2×#4747C211yesmaximal, characteristic
5#78560C211yesmaximal, characteristic, complemented
6C3×#1931C211yesmaximal, characteristic, complemented
7#70680C211yesmaximal, characteristic, complemented
8#70323C211yesmaximal, characteristic, complemented
9#70157C211yesmaximal, characteristic, complemented
10#70072C211yesmaximal, characteristic, complemented
11#69887C211yesmaximal, characteristic, complemented
12#69006C211yesmaximal, characteristic, complemented
13#69002C211yesmaximal, characteristic, complemented
14#68948C211yesmaximal, characteristic, complemented
15#68926C211yesmaximal, characteristic, complemented
16#22897—31nomaximal, Sylow
17C2×#1004C2211yescharacteristic
18C2×#940C2211yescharacteristic
19C2×#908C2211yescharacteristic
20C2×#908C2211yescharacteristic
21C2×#907C2211yescharacteristic
22C2×#901C2211yescharacteristic
23#5523C2211yescharacteristic
24#5521C2211yescharacteristic, complemented
25#5504C2211yescharacteristic
26C3×#428C2211yescharacteristic, complemented
27C3×#418C2211yescharacteristic
28C2×C3×#102C2211yescharacteristic
29C2×C3×#100C2211yescharacteristic
30C3×#405C2211yescharacteristic, complemented
31#5215C2211yescharacteristic
32C2×#832C2211yescharacteristic
33C2×#825C2211yescharacteristic
34C2×#825C2211yescharacteristic
35#5133C2211yescharacteristic
36C2×#823C2211yescharacteristic, complemented
37#5122C2211yescharacteristic, complemented
38#5121C2211yescharacteristic, complemented
39#5113C2211yescharacteristic
40C2×#821C2211yescharacteristic, complemented
41C2×C8×Dic3C2211yescharacteristic, complemented
42#5002C2211yescharacteristic
43#4975C2211yescharacteristic, complemented
44#4966C2211yescharacteristic
45C2×#809C2211yescharacteristic, complemented
46#4889—21no—
47#4872—21no—
48#4869—21no—
49#4852—21no—
50#4772—21no—
51#4772—21no—
52#4771—21no—
53#4771—21no—
54#4770—21no—
55#4770—21no—
56D3×#102—21no—
57D3×#102—21no—
58#4747C418yescomplemented
59#4711—21no—
60#4710—21no—
61C4×D24—21no—
62C4×#204—21no—
63C3×#343C2211yescharacteristic, complemented
64C3×#341C2211yescharacteristic, complemented
65#4558C2211yescharacteristic, complemented
66#4555C2211yescharacteristic, complemented
67#4554C2211yescharacteristic, complemented
68#4532C2211yescharacteristic, complemented
69C2×#453—31no—
70#2946—31no—
71#2946—31no—
72#2897—31no—
73#2897—31no—
74#1957—31no—
75#1931—31no—
76#1931D311yescharacteristic, complemented
77#1907—31no—
78#1907—31no—
79#1887—31no—
80#1859—31no—
81#1859—31no—
82#1764—31no—
83#1764—31no—
84C22×C3×D4C2311yescharacteristic
85C22×#67—41no—
86C22×#67—41no—
87#1004—22no—
88#1004—22no—
89#1004—41no—
90#1004C2×C414yescomplemented
91C2×#237—21no—
92C2×#237—21no—
93C2×D3×D4—21no—
94C2×D3×D4—21no—
95C2×#235C2311yescharacteristic
96C2×#235C2311yescharacteristic
97C22×D12C2311yescharacteristic
98C2×C3×M16C2311yescharacteristic
99C2×C3×M16C2311yescharacteristic
100C2×C3×M16C2311yescharacteristic
101C22×C3×C8C2311yescharacteristic
102C3×#117C2311yescharacteristic
103C2×C3×C4⋊C4C2311yescharacteristic
104#940—41no—
105#940C2×C414yescomplemented
106C4×#67—41no—
107#926C2311yescharacteristic
108C2×C4⋊Dic3C2311yescharacteristic
109C2×Dic3⋊C4—41no—
110C2×C4×Dic3C2311yescharacteristic
111C2×#208C2311yescharacteristic
112C22×C3⋊C8C2311yescharacteristic
113#908—22no—
114#908—22no—
115#908C2×C414yescomplemented
116#908C2×C414yescomplemented
117#907—22no—
118#907—41no—
119C2×D24—21no—
120C2×D24—21no—
121C2×#204—21no—
122C2×#204—21no—
123#901—22no—
124#901—41no—
125C2×ΓL(1,𝔽25)—21no—
126C2×ΓL(1,𝔽25)—21no—
127C2×D3×C8—21no—
128C2×D3×C8—21no—
129#893—21no—
130#893—21no—
131#893—21no—
132#892—21no—
133#892—21no—
134D3×C4⋊C4—21no—
135D3×C4⋊C4—21no—
136#887—21no—
137#67⋊C4—41no—
138D3×C22⋊C4—41no—
139C4×D12—21no—
140C4×D12—21no—
141C4×D12—21no—
142C4×Dic6—21no—
143C3×#107—21no—
144C3×#106—21no—
145C3×#102—21no—
146C3×#102—21no—
147C3×#102—21no—
148C3×#102—21no—
149C3×#100C2×C414yescomplemented
150C3×#97—21no—
151C3×C4×C8—21no—
152#832—21no—
153#832—21no—
154#832—21no—
155#832—21no—
156#825C2×C414yescomplemented
157#825C2×C414yescomplemented
158#823—41no—
159#821—21no—
160#821—21no—
161#821—21no—
162#821D411yescharacteristic, complemented
163#821D411yescharacteristic, complemented
164#818—21no—
165#817—21no—
166#816—21no—
167#816D411yescharacteristic, complemented
168#816D411yescharacteristic, complemented
169#815—21no—
170C8×Dic3—21no—
171C8×Dic3—41no—
172#810—21no—
173#810D411yescharacteristic, complemented
174#810D411yescharacteristic, complemented
175#809—21no—
176#809—21no—
177#809—21no—
178#809D411yescharacteristic, complemented
179#809D411yescharacteristic, complemented
180C2×H(5,𝔽2)—31no—
181C2×AGL(1,ℤ/8)—31no—
182C2×AGL(1,ℤ/8)—31no—
183C2×#131—31no—
184C2×#131—31no—
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#428C2×D311yescharacteristic, complemented
200C2×#104—31no—
201C2×#104—31no—
202#418—31no—
203#418—61no—
204#418—61no—
205#418C2×D311yescharacteristic
206#417—31no—
207#417—31no—
208#417—61no—
209#417—61no—
210#416—31no—
211#416—31no—
212#416—61no—
213#416—61no—
214C2×#102—31no—
215C2×#102—31no—
216C2×#102—31no—
217C2×#102—61no—
218C2×#102—61no—
219C2×#102C2×D311yescharacteristic
220C2×#100—31no—
221C2×#100C2×D311yescharacteristic
222#405—31no—
223#405C2×D311yescharacteristic, complemented
224C2×C4×C8—31no—
225#384—31no—
226#343—31no—
227#343C2×D311yescharacteristic, complemented
228#341—31no—
229#341C2×D311yescharacteristic, complemented
230#339—31no—
231#339—31no—
232C24×C3—21no—
233C23×D3—21no—
234C23×D3—41no—
235C2×C3×D4—21no—
236C2×C3×D4—21no—
237C2×C3×D4—21no—
238C2×C3×D4—21no—
239C2×C3×D4—21no—
240C2×C3×D4C22×C412yes—
241C22×C3×C4—21no—
242C22×C3×C4C2411yescharacteristic
243C2×#67—21no—
244C2×#67—21no—
245C2×#67—41no—
246C2×#67—41no—
247C2×#67—44no—
248C2×#67—44no—
249C2×#67—44no—
250C2×#67—82no—
251C2×#67—82no—
252C22×Dic3—21no—
253C22×Dic3—21no—
254C22×Dic3—41no—
255#237—24no—
256#237—24no—
257#237—42no—
258#237—42no—
259D3×D4—24no—
260D3×D4—24no—
261D3×D4—42no—
262D3×D4—42no—
263#235—21no—
264#235—21no—
265#235—21no—
266#235—21no—
267#235C22×C412yes—
268#235C22×C412yes—
269#235#4112yes—
270#235#4112yes—
271C2×D12—21no—
272C2×D12—21no—
273C2×D12—21no—
274C2×D12—21no—
275C2×D12—21no—
276C2×D12C22×C412yes—
277C2×D12C2×D411yescharacteristic
278C2×D12C2×D411yescharacteristic
279C2×C4×D3—21no—
280C2×C4×D3—21no—
281C2×C4×D3—41no—
282C2×C4×D3—41no—
283C2×C4×D3—41no—
284C2×C4×D3—41no—
285C2×Dic6C2×D411yescharacteristic
286C2×Dic6C2×D411yescharacteristic
287C3×M16—21no—
288C3×M16—21no—
289C3×M16—21no—
290C3×M16—21no—
291C3×M16C22×C412yes—
292C3×M16C22×C412yes—
293C2×C3×C8—21no—
294C2×C3×C8—21no—
295C2×C3×C8—21no—
296C2×C3×C8—21no—
297C2×C3×C8—21no—
298C2×C3×C8C2×D411yescharacteristic
299C2×C3×C8C2×D411yescharacteristic
300C3×C4⋊C4—21no—
301C3×C4⋊C4—21no—
302C3×C4⋊C4C2×D411yescharacteristic
303C3×C4⋊C4C2×D411yescharacteristic
304C3×C22⋊C4—21no—
305C3×C42—21no—
306#217—21no—
307(C2×D3)⋊C4—41no—
308(C2×D3)⋊C4—41no—
309(C2×D3)⋊C4—41no—
310(C2×D3)⋊C4—41no—
311C4⋊Dic3—21no—
312C4⋊Dic3—21no—
313C4⋊Dic3C2×D411yescharacteristic
314C4⋊Dic3C2×D411yescharacteristic
315Dic3⋊C4—41no—
316Dic3⋊C4—41no—
317Dic3⋊C4—82no—
318C4×Dic3—21no—
319C4×Dic3—21no—
320C4×Dic3—41no—
321C4×Dic3—41no—
322C4×Dic3C22×C412yes—
323#208—21no—
324#208—21no—
325C2×C3⋊C8—21no—
326C2×C3⋊C8—21no—
327C2×C3⋊C8—21no—
328C2×C3⋊C8C2×D411yescharacteristic
329C2×C3⋊C8C2×D411yescharacteristic
330D24—24no—
331D24—24no—
332#204—24no—
333#204—24no—
334ΓL(1,𝔽25)—42no—
335ΓL(1,𝔽25)—42no—
336D3×C8—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—31no—
344C2×#41—61no—
345C2×#41—61no—
346C22×D4—31no—
347C22×D4—61no—
348C22×D4—61no—
349C22×D4—121no—
350C22×D4—121no—
351C22×D4C22×D311yescharacteristic
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—62no—
361#131—62no—
362#131—121no—
363#131—121no—
364C2×M16—31no—
365C2×M16—61no—
366C2×M16—61no—
367C2×M16C22×D311yescharacteristic
368C2×M16C22×D311yescharacteristic
369C2×M16C22×D311yescharacteristic
370C22×C8—31no—
371C22×C8—61no—
372C22×C8—61no—
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—61no—
392C2×C4⋊C4—61no—
393C2×C4⋊C4—121no—
394C2×C4⋊C4C22×D311yescharacteristic
395C2×C22⋊C4—121no—
396C2×C42—31no—
397#107—21no—
398#107—61no—
399#106—21no—
400#106—61no—
401#104—34no—
402#104—34no—
403#103—31no—
404#103—31no—
405#103—31no—
406#103—31no—
407#103—61no—
408#103—61no—
409#102—21no—
410#102—21no—
411#102—21no—
412#102—21no—
413#102—31no—
414#102—31no—
415#102—31no—
416#102—31no—
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#102—61no—
426#102—61no—
427#100—121no—
428#100C4×D314yescomplemented
429#97—21no—
430#97—61no—
431C4×C8—21no—
432C4×C8—61no—
433C4×C8—121no—
434C23×C3—22no—
435C23×C3—41no—
436C23×C3—41no—
437C23×C3—81no—
438C23×C3—81no—
439C23×C3H(5,𝔽2)11yescharacteristic
440C22×D3—21no—
441C22×D3—21no—
442C22×D3—22no—
443C22×D3—44no—
444C22×D3—41no—
445C22×D3—41no—
446C22×D3—81no—
447C22×D3—81no—
448C22×D3—161no—
449C22×D3—161no—
450C3×D4—22no—
451C3×D4—22no—
452C3×D4—41no—
453C3×D4—41no—
454C2×C3×C4—21no—
455C2×C3×C4—21no—
456C2×C3×C4—41no—
457C2×C3×C4—81no—
458C2×C3×C4C23×C411yescharacteristic
459C2×C3×C4C22×D411yescharacteristic
460C2×C3×C4C22×D411yescharacteristic
461C2×C3×C4C2×#4111yescharacteristic
462C2×C3×C4C2×#4111yescharacteristic
463C2×C3×C4H(5,𝔽2)11yescharacteristic
464#67—22no—
465#67—22no—
466#67—22no—
467#67—22no—
468#67—44no—
469#67—44no—
470#67—88no—
471C2×Dic3—22no—
472C2×Dic3—22no—
473C2×Dic3—22no—
474C2×Dic3—21no—
475C2×Dic3—21no—
476C2×Dic3—21no—
477C2×Dic3—21no—
478C2×Dic3—44no—
479C2×Dic3—41no—
480C2×Dic3—81no—
481D12—22no—
482D12—22no—
483D12—21no—
484D12—21no—
485D12—41no—
486D12—41no—
487D12C4×D412yes—
488D12C4×D412yes—
489C4×D3—22no—
490C4×D3—22no—
491C4×D3—22no—
492C4×D3—22no—
493C4×D3—161no—
494C4×D3—161no—
495C4×D3—161no—
496C4×D3—161no—
497Dic6—21no—
498Dic6—21no—
499Dic6C4×D412yes—
500Dic6C4×D412yes—
501C3×C8—22no—
502C3×C8—22no—
503C3×C8—21no—
504C3×C8—21no—
505C3×C8—41no—
506C3⋊C8—21no—
507C3⋊C8—21no—
508C3⋊C8—41no—
509C24—21no—
510C24—61no—
511C24—121no—
512#41—32no—
513#41—32no—
514#41—32no—
515#41—32no—
516#41—61no—
517#41—61no—
518#41—61no—
519#41—61no—
520#41—64no—
521#41—64no—
522#41—122no—
523#41—122no—
524C2×Q8—31no—
525C2×Q8—31no—
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—32no—
532C2×D4—31no—
533C2×D4—31no—
534C2×D4—64no—
535C2×D4—64no—
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—122no—
545C2×D4—121no—
546C2×D4—121no—
547C2×D4—124no—
548C2×D4—124no—
549C2×D4—124no—
550C2×D4—242no—
551C2×D4—242no—
552C2×D4C2×C4×D312yes—
553C22×C4—21no—
554C22×C4—61no—
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—21no—
572M16—61no—
573M16—61no—
574M16—122no—
575M16—122no—
576M16C2×C4×D312yes—
577M16C2×C4×D312yes—
578C2×C8—21no—
579C2×C8—21no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—21no—
583C2×C8—31no—
584C2×C8—31no—
585C2×C8—61no—
586C2×C8—61no—
587C2×C8—61no—
588C2×C8—122no—
589C2×C8—122no—
590C2×C8D3×D411yescharacteristic
591C2×C8D3×D411yescharacteristic
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—31no—
595C4⋊C4—31no—
596C4⋊C4—61no—
597C4⋊C4—61no—
598C4⋊C4—121no—
599C4⋊C4—121no—
600C4⋊C4—242no—
601C4⋊C4D3×D411yescharacteristic
602C4⋊C4D3×D411yescharacteristic
603C22⋊C4—21no—
604C22⋊C4—61no—
605C22⋊C4—121no—
606C22⋊C4—121no—
607C22⋊C4—121no—
608C22⋊C4—121no—
609C42—21no—
610C42—32no—
611C42—61no—
612C42—61no—
613C42—121no—
614C42—121no—
615C22×C3—21no—
616C22×C3—21no—
617C22×C3—42no—
618C22×C3—82no—
619C22×C3—81no—
620C22×C3—81no—
621C22×C3—161no—
622C22×C3#51811yescharacteristic
623C22×C3D4211yescharacteristic
624C22×C3#55111yescharacteristic
625C2×D3—22no—
626C2×D3—22no—
627C2×D3—41no—
628C2×D3—41no—
629C2×D3—41no—
630C2×D3—41no—
631C2×D3—42no—
632C2×D3—81no—
633C2×D3—81no—
634C2×D3—82no—
635C2×D3—164no—
636C2×D3—161no—
637C3×C4—41no—
638C3×C4—41no—
639C3×C4—81no—
640C3×C4C2×C4×D411yescharacteristic
641C3×C4C2×C4×D411yescharacteristic
642C3×C4#54611yescharacteristic
643C3×C4#54611yescharacteristic
644Dic3—24no—
645Dic3—22no—
646Dic3—22no—
647Dic3—41no—
648Dic3—41no—
649Dic3—81no—
650C23—22no—
651C23—41no—
652C23—41no—
653C23—61no—
654C23—61no—
655C23—62no—
656C23—81no—
657C23—81no—
658C23—124no—
659C23—121no—
660C23—121no—
661C23—241no—
662C23—241no—
663C23—481no—
664C23—481no—
665C23#100911yescharacteristic
666Q8—32no—
667Q8—32no—
668Q8—61no—
669Q8—61no—
670D4—22no—
671D4—22no—
672D4—32no—
673D4—32no—
674D4—41no—
675D4—41no—
676D4—62no—
677D4—62no—
678D4—62no—
679D4—62no—
680D4—61no—
681D4—61no—
682D4—62no—
683D4—62no—
684D4—124no—
685D4—124no—
686D4—121no—
687D4—121no—
688D4—248no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—41no—
692C2×C4—62no—
693C2×C4—62no—
694C2×C4—62no—
695C2×C4—61no—
696C2×C4—61no—
697C2×C4—62no—
698C2×C4—62no—
699C2×C4—62no—
700C2×C4—62no—
701C2×C4—61no—
702C2×C4—61no—
703C2×C4—81no—
704C2×C4—124no—
705C2×C4—121no—
706C2×C4—241no—
707C2×C4—481no—
708C2×C4—481no—
709C2×C4—481no—
710C2×C4—481no—
711C2×C4C22×C4×D311yescharacteristic
712C2×C4C2×D3×D411yescharacteristic
713C2×C4C2×D3×D411yescharacteristic
714C2×C4D3×#4111yescharacteristic
715C2×C4D3×#4111yescharacteristic
716C2×C4#100911yescharacteristic
717C8—21no—
718C8—21no—
719C8—22no—
720C8—22no—
721C8—41no—
722C8—61no—
723C8—61no—
724C8—121no—
725C2×C3—21no—
726C2×C3—21no—
727C2×C3—82no—
728C2×C3#235811yescharacteristic
729C2×C3#329111yescharacteristic
730C2×C3#329211yescharacteristic
731D3—42no—
732D3—42no—
733D3—82no—
734C22—21no—
735C22—21no—
736C22—42no—
737C22—62no—
738C22—62no—
739C22—82no—
740C22—81no—
741C22—81no—
742C22—121no—
743C22—121no—
744C22—121no—
745C22—121no—
746C22—122no—
747C22—161no—
748C22—242no—
749C22—241no—
750C22—241no—
751C22—481no—
752C22—484no—
753C22#552111yescharacteristic
754C22#560911yescharacteristic
755C22#570511yescharacteristic
756C4—41no—
757C4—41no—
758C4—64no—
759C4—62no—
760C4—62no—
761C4—81no—
762C4—121no—
763C4—121no—
764C4—241no—
765C4C4×D3×D411yescharacteristic
766C4C4×D3×D411yescharacteristic
767C4#565411yescharacteristic
768C4#567611yescharacteristic
769C3#2289711yescharacteristic, complemented, Sylow
770C2—21no—
771C2—21no—
772C2—82no—
773C2—122no—
774C2—122no—
775C2—242no—
776C2#7583611yescharacteristic
777C2#8093511yescharacteristic
778C2#8094111yescharacteristic
subgroupG/H
centerC22#5609
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×#1931C2
socleC22×C3D42
prime radicalC2×#4747C2
cosocleC22×C3×C4C24
hypercenter#1931D3
hypocenterC3#22897
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1931

Complements

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

NH ≅ G/Ntype
1. #79201C2semidirect
2. #78925C2semidirect
3. #78742C2semidirect
5. #78560C2semidirect
6. C3×#1931C2semidirect
7. #70680C2semidirect
8. #70323C2semidirect
9. #70157C2semidirect
10. #70072C2semidirect
11. #69887C2semidirect
12. #69006C2semidirect
13. #69002C2semidirect
14. #68948C2semidirect
15. #68926C2semidirect
24. #5521C22semidirect
26. C3×#428C22semidirect
30. C3×#405C22semidirect
36. C2×#823C22semidirect
37. #5122C22semidirect
38. #5121C22semidirect
40. C2×#821C22semidirect
41. C2×C8×Dic3C22semidirect
43. #4975C22semidirect
45. C2×#809C22semidirect
58. #4747C4semidirect
63. C3×#343C22semidirect
64. C3×#341C22semidirect
65. #4558C22semidirect
66. #4555C22semidirect
67. #4554C22semidirect
68. #4532C22semidirect
76. #1931D3semidirect
90. #1004C2×C4semidirect
105. #940C2×C4semidirect
115. #908C2×C4semidirect
116. #908C2×C4semidirect
149. C3×#100C2×C4semidirect
156. #825C2×C4semidirect
157. #825C2×C4semidirect
162. #821D4semidirect
163. #821D4semidirect
167. #816D4semidirect
168. #816D4semidirect
173. #810D4semidirect
174. #810D4semidirect
178. #809D4semidirect
179. #809D4semidirect
199. #428C2×D3semidirect
223. #405C2×D3semidirect
227. #343C2×D3semidirect
229. #341C2×D3semidirect
428. #100C4×D3semidirect
769. C3#22897semidirect

Maximal subgroups

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

subgroupindex
#792012
#789252
#787422
C2×#47472
#785602
C3×#19312
#706802
#703232
#701572
#700722
#698872
#690062
#690022
#689482
#689262
#228973