Finite Group Databasebeta

← #10816044

Subgroups — #10816044

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
1C2×#5198C211yesmaximal, characteristic
2#83930C211yesmaximal, characteristic, complemented
3#83797C211yesmaximal, characteristic, complemented
4#78882C211yesmaximal, characteristic, complemented
5#78726C211yesmaximal, characteristic, complemented
6C3×#1907C211yesmaximal, characteristic, complemented
7#72008C211yesmaximal, characteristic, complemented
8#70297C211yesmaximal, characteristic, complemented
9#70157C211yesmaximal, characteristic, complemented
10#70088C211yesmaximal, characteristic, complemented
11#70070C211yesmaximal, characteristic, complemented
12#69002C211yesmaximal, characteristic, complemented
13#68983C211yesmaximal, characteristic, complemented
14#68931C211yesmaximal, characteristic, complemented
15#68926C211yesmaximal, characteristic, complemented
16#22897—31nomaximal, Sylow
17C2×#1009C2211yescharacteristic
18C2×C3×AGL(1,ℤ/8)C2211yescharacteristic
19C2×C3×#131C2211yescharacteristic
20#5827C2211yescharacteristic
21C2×#940C2211yescharacteristic
22#5798C2211yescharacteristic, complemented
23C2×#932C2211yescharacteristic
24C2×#907C2211yescharacteristic
25#5504C2211yescharacteristic
26C3×#417C2211yescharacteristic
27C2×C3×#102C2211yescharacteristic, complemented
28C2×C3×#100C2211yescharacteristic, complemented
29C2×#837C2211yescharacteristic
30#5233C2211yescharacteristic
31C2×#832C2211yescharacteristic, complemented
32#5198C418yescomplemented
33#5164—21no—
34Dic3×SD16—21no—
35#5152—21no—
36Dic3×D8—21no—
37C2×#825C2211yescharacteristic
38#5133—21no—
39#5133C2211yescharacteristic
40#5131—21no—
41#5131C2211yescharacteristic
42#5131C2211yescharacteristic
43C2×#823C2211yescharacteristic
44#5122C2211yescharacteristic, complemented
45#5121C2211yescharacteristic, complemented
46#5113—21no—
47#5113C2211yescharacteristic
48C2×#821—21no—
49C2×#821C2211yescharacteristic
50#5101C2211yescharacteristic, complemented
51C2×C8×Dic3C2211yescharacteristic, complemented
52#4975C2211yescharacteristic, complemented
53C2×#809C2211yescharacteristic
54#4964C2211yescharacteristic, complemented
55#4804—21no—
56#4803—21no—
57#4785—21no—
58#4770—21no—
59D3×#102—21no—
60#4758—21no—
61#4757—21no—
62#4756—21no—
63C3×#343C2211yescharacteristic, complemented
64C3×#341C2211yescharacteristic, complemented
65#4558C2211yescharacteristic, complemented
66#4555C2211yescharacteristic, complemented
67#4555C2211yescharacteristic, complemented
68#4554C2211yescharacteristic, 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#1907D311yescharacteristic, complemented
79#1887—31no—
80#1859—31no—
81#1859—31no—
82#1764—31no—
83#1764—31no—
84C2×C3×#41C2311yescharacteristic
85C22×C3×D4C2311yescharacteristic
86C22×#67—41no—
87#1009—22no—
88#1009—22no—
89#1009—41no—
90#1009C2×C414yescomplemented
91C2×#239—21no—
92C2×D3×D4—21no—
93C2×D3×D4—41no—
94C2×#235—21no—
95C2×#235C2311yescharacteristic
96C22×D12—21no—
97C22×D12C2311yescharacteristic
98C3×AGL(1,ℤ/8)—22no—
99C3×AGL(1,ℤ/8)C2×C414yescomplemented
100C2×C3×SD16—21no—
101C2×C3×D8—21no—
102C3×#131—22no—
103C3×#131—41no—
104C2×C3×M16—21no—
105C2×C3×M16C2311yescharacteristic
106C2×C3×M16C2311yescharacteristic
107C2×C3×M16C2311yescharacteristic
108C22×C3×C8—21no—
109C22×C3×C8C2311yescharacteristic
110C2×C3×C4⋊C4C2311yescharacteristic
111C2×#217—41no—
112Q8×Dic3—21no—
113#940—41no—
114#940C2×C414yescomplemented
115D4×Dic3—21no—
116D4×Dic3—21no—
117D4×Dic3—21no—
118D4×Dic3—21no—
119D4×Dic3—21no—
120D4×Dic3—41no—
121C2×#214—21no—
122#932—22no—
123#932C2×C414yescomplemented
124C2×#213—21no—
125C4×#67—41no—
126#926—21no—
127#926C2311yescharacteristic
128#926C2311yescharacteristic
129C2×C4⋊Dic3—21no—
130C2×C4⋊Dic3C2311yescharacteristic
131C2×Dic3⋊C4—41no—
132C2×C4×Dic3C2311yescharacteristic
133C2×#208C2311yescharacteristic
134C22×C3⋊C8C2311yescharacteristic
135#907—22no—
136#907—41no—
137C2×ΓL(1,𝔽25)—21no—
138C2×D3×C8—21no—
139#893—21no—
140#892—21no—
141D3×C4⋊C4—21no—
142#887—21no—
143C3×#103—21no—
144C3×#102—21no—
145C3×#102—21no—
146C3×#102—21no—
147C3×#100—41no—
148#837C2×C414yescomplemented
149#835D411yescharacteristic, complemented
150#835D411yescharacteristic, complemented
151#832—21no—
152#832—21no—
153#832D411yescharacteristic, complemented
154#832D411yescharacteristic, complemented
155#825C2×C414yescomplemented
156#823C2×C414yescomplemented
157#821—21no—
158#821—21no—
159#821—21no—
160#821—21no—
161#821—21no—
162#821—21no—
163#821—21no—
164#821D411yescharacteristic, complemented
165#821D411yescharacteristic, complemented
166#818—21no—
167#817—21no—
168#816—21no—
169#816D411yescharacteristic, complemented
170#816D411yescharacteristic, complemented
171#815—21no—
172#815—21no—
173C8×Dic3—21no—
174C8×Dic3—21no—
175C8×Dic3—41no—
176#809—21no—
177#809—21no—
178#808—21no—
179#807—21no—
180C2×H(5,𝔽2)—31no—
181C2×AGL(1,ℤ/8)—31no—
182C2×AGL(1,ℤ/8)C2×D311yescharacteristic
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×#104—31no—
202#418—31no—
203#418—31no—
204#418—61no—
205#418—61no—
206#417—31no—
207#417—61no—
208#417—61no—
209#417C2×D311yescharacteristic
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, complemented
220C2×#100—31no—
221C2×#100C2×D311yescharacteristic, complemented
222#405—31no—
223#405—31no—
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—
235C3×#41—21no—
236C3×#41—21no—
237C3×#41C22×C412yes—
238C3×#41#4112yes—
239C2×C3×Q8C2×D411yescharacteristic
240C2×C3×D4—21no—
241C2×C3×D4—21no—
242C2×C3×D4—21no—
243C2×C3×D4—21no—
244C2×C3×D4—21no—
245C2×C3×D4—21no—
246C2×C3×D4C22×C412yes—
247C2×C3×D4C2×D411yescharacteristic
248C22×C3×C4—21no—
249C22×C3×C4—21no—
250C22×C3×C4C2411yescharacteristic
251C2×#67—21no—
252C2×#67—41no—
253C2×#67—44no—
254C2×#67—82no—
255C2×#67—82no—
256C22×Dic3—21no—
257C22×Dic3—21no—
258C22×Dic3—41no—
259C22×Dic3—41no—
260C22×Dic3—41no—
261#239—24no—
262#239—42no—
263D3×D4—24no—
264D3×D4—42no—
265D3×D4—44no—
266D3×D4—44no—
267#235—21no—
268#235—21no—
269#235—24no—
270#235—42no—
271#235C22×C412yes—
272#235#4112yes—
273C2×D12—21no—
274C2×D12—21no—
275C2×D12—21no—
276C2×D12—21no—
277C2×D12—24no—
278C2×D12—21no—
279C2×D12—42no—
280C2×D12—41no—
281C2×D12C22×C412yes—
282C2×D12C2×D411yescharacteristic
283C2×C4×D3—21no—
284C2×C4×D3—41no—
285C2×C4×D3—41no—
286C2×Dic6C2×D411yescharacteristic
287C3×SD16—24no—
288C3×D8—24no—
289C3×M16—21no—
290C3×M16—21no—
291C3×M16—21no—
292C3×M16—21no—
293C3×M16—21no—
294C3×M16—42no—
295C3×M16C22×C412yes—
296C2×C3×C8—21no—
297C2×C3×C8—21no—
298C2×C3×C8—21no—
299C2×C3×C8—21no—
300C2×C3×C8—21no—
301C2×C3×C8—42no—
302C2×C3×C8C2×D411yescharacteristic
303C2×C3×C8C2×D411yescharacteristic
304C3×C4⋊C4—21no—
305C3×C4⋊C4—21no—
306#217—21no—
307#217—21no—
308#217—41no—
309#217—41no—
310#217—41no—
311#214—24no—
312#213—24no—
313(C2×D3)⋊C4—41no—
314C4⋊Dic3—21no—
315C4⋊Dic3—21no—
316C4⋊Dic3—41no—
317C4⋊Dic3C2×D411yescharacteristic
318C4⋊Dic3C2×D411yescharacteristic
319C4⋊Dic3C2×D411yescharacteristic
320C4⋊Dic3C2×D411yescharacteristic
321Dic3⋊C4—41no—
322Dic3⋊C4—82no—
323C4×Dic3—21no—
324C4×Dic3—21no—
325C4×Dic3—21no—
326C4×Dic3—41no—
327C4×Dic3—41no—
328C4×Dic3C22×C412yes—
329#208—21no—
330#208C22×C412yes—
331C2×C3⋊C8—21no—
332C2×C3⋊C8—21no—
333C2×C3⋊C8—21no—
334C2×C3⋊C8C2×D411yescharacteristic
335C2×C3⋊C8C2×D411yescharacteristic
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—61no—
348C22×D4—61no—
349C22×D4—121no—
350C22×D4—121no—
351C22×D4C22×D311yescharacteristic
352AGL(1,ℤ/8)—22no—
353AGL(1,ℤ/8)—34no—
354AGL(1,ℤ/8)—62no—
355AGL(1,ℤ/8)C4×D314yescomplemented
356C2×SD16—21no—
357C2×SD16—61no—
358C2×D8—21no—
359C2×D8—61no—
360#131—22no—
361#131—41no—
362#131—62no—
363#131—121no—
364C2×M16—21no—
365C2×M16—31no—
366C2×M16—61no—
367C2×M16C22×D311yescharacteristic
368C2×M16C22×D311yescharacteristic
369C2×M16C22×D311yescharacteristic
370C22×C8—21no—
371C22×C8—31no—
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—31no—
388#117—61no—
389#117—61no—
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—61no—
398#107—61no—
399#106—61no—
400#106—61no—
401#104—34no—
402#104—34no—
403#103—21no—
404#103—31no—
405#103—31no—
406#103—31no—
407#103—31no—
408#103—61no—
409#102—21no—
410#102—21no—
411#102—21no—
412#102—31no—
413#102—31no—
414#102—31no—
415#102—31no—
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#102—61no—
426#102—61no—
427#100—34no—
428#100—41no—
429#97—61no—
430#97—61no—
431C4×C8—61no—
432C4×C8—61no—
433C4×C8—121no—
434C23×C3—21no—
435C23×C3—22no—
436C23×C3—41no—
437C23×C3—41no—
438C23×C3—81no—
439C23×C3—81no—
440C23×C3H(5,𝔽2)11yescharacteristic
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×Q8—21no—
451C3×Q8C4×D412yes—
452C3×D4—22no—
453C3×D4—22no—
454C3×D4—22no—
455C3×D4—22no—
456C3×D4—21no—
457C3×D4—41no—
458C3×D4—41no—
459C3×D4C4×D412yes—
460C2×C3×C4—21no—
461C2×C3×C4—22no—
462C2×C3×C4—22no—
463C2×C3×C4—41no—
464C2×C3×C4—81no—
465C2×C3×C4C23×C411yescharacteristic
466C2×C3×C4C22×D411yescharacteristic
467C2×C3×C4C22×D411yescharacteristic
468C2×C3×C4C2×#4111yescharacteristic
469C2×C3×C4C2×#4111yescharacteristic
470C2×C3×C4H(5,𝔽2)11yescharacteristic
471#67—22no—
472#67—22no—
473#67—44no—
474#67—88no—
475C2×Dic3—22no—
476C2×Dic3—22no—
477C2×Dic3—22no—
478C2×Dic3—21no—
479C2×Dic3—21no—
480C2×Dic3—21no—
481C2×Dic3—21no—
482C2×Dic3—21no—
483C2×Dic3—41no—
484C2×Dic3—81no—
485C2×Dic3—161no—
486C2×Dic3—161no—
487C2×Dic3—161no—
488D12—22no—
489D12—22no—
490D12—21no—
491D12—44no—
492D12—41no—
493D12—41no—
494D12C4×D412yes—
495C4×D3—22no—
496C4×D3—22no—
497C4×D3—44no—
498C4×D3—161no—
499Dic6—21no—
500Dic6C4×D412yes—
501C3×C8—22no—
502C3×C8—21no—
503C3×C8—21no—
504C3×C8—41no—
505C3×C8—41no—
506C3⋊C8—22no—
507C3⋊C8—21no—
508C3⋊C8—21no—
509C24—21no—
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#23712yes—
524C2×Q8—31no—
525C2×Q8D3×D411yescharacteristic
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—32no—
533C2×D4—31no—
534C2×D4—64no—
535C2×D4—61no—
536C2×D4—64no—
537C2×D4—61no—
538C2×D4—61no—
539C2×D4—61no—
540C2×D4—61no—
541C2×D4—61no—
542C2×D4—122no—
543C2×D4—121no—
544C2×D4—122no—
545C2×D4—121no—
546C2×D4—124no—
547C2×D4—124no—
548C2×D4—124no—
549C2×D4—242no—
550C2×D4—242no—
551C2×D4C2×C4×D312yes—
552C2×D4D3×D411yescharacteristic
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—24no—
565SD16—64no—
566D8—24no—
567D8—64no—
568M16—21no—
569M16—21no—
570M16—21no—
571M16—21no—
572M16—21no—
573M16—32no—
574M16—42no—
575M16—61no—
576M16—122no—
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—42no—
586C2×C8—61no—
587C2×C8—61no—
588C2×C8—61no—
589C2×C8—122no—
590C2×C8D3×D411yescharacteristic
591C2×C8D3×D411yescharacteristic
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—31no—
595C4⋊C4—31no—
596C4⋊C4—31no—
597C4⋊C4—31no—
598C4⋊C4—61no—
599C4⋊C4—61no—
600C4⋊C4—121no—
601C4⋊C4—121no—
602C4⋊C4—242no—
603C22⋊C4—61no—
604C22⋊C4—61no—
605C22⋊C4—121no—
606C22⋊C4—121no—
607C22⋊C4—121no—
608C22⋊C4—121no—
609C42—32no—
610C42—61no—
611C42—61no—
612C42—61no—
613C42—121no—
614C42—121no—
615C22×C3—21no—
616C22×C3—21no—
617C22×C3—22no—
618C22×C3—41no—
619C22×C3—41no—
620C22×C3—42no—
621C22×C3—82no—
622C22×C3—81no—
623C22×C3—81no—
624C22×C3—161no—
625C22×C3#51811yescharacteristic
626C22×C3D4211yescharacteristic
627C22×C3#55111yescharacteristic
628C2×D3—22no—
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—22no—
638C3×C4—81no—
639C3×C4C2×C4×D411yescharacteristic
640C3×C4C2×C4×D411yescharacteristic
641C3×C4#54611yescharacteristic
642C3×C4#54611yescharacteristic
643Dic3—24no—
644Dic3—22no—
645Dic3—41no—
646Dic3—41no—
647Dic3—41no—
648Dic3—41no—
649Dic3—81no—
650C23—21no—
651C23—22no—
652C23—41no—
653C23—41no—
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—21no—
667Q8—32no—
668Q8—61no—
669Q8#67⋊C412yes—
670D4—22no—
671D4—22no—
672D4—22no—
673D4—22no—
674D4—21no—
675D4—32no—
676D4—41no—
677D4—41no—
678D4—62no—
679D4—62no—
680D4—62no—
681D4—62no—
682D4—61no—
683D4—124no—
684D4—124no—
685D4—121no—
686D4—121no—
687D4—248no—
688D4#67⋊C412yes—
689C2×C4—21no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—41no—
693C2×C4—62no—
694C2×C4—62no—
695C2×C4—62no—
696C2×C4—61no—
697C2×C4—62no—
698C2×C4—62no—
699C2×C4—61no—
700C2×C4—61no—
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×C4C2×#23711yescharacteristic
715C2×C4#100411yescharacteristic
716C2×C4D3×#4111yescharacteristic
717C8—22no—
718C8—21no—
719C8—21no—
720C8—41no—
721C8—41no—
722C8—62no—
723C8—61no—
724C8—61no—
725C2×C3—21no—
726C2×C3—21no—
727C2×C3—42no—
728C2×C3—82no—
729C2×C3#235811yescharacteristic
730C2×C3#329111yescharacteristic
731C2×C3#329211yescharacteristic
732D3—42no—
733D3—82no—
734C22—21no—
735C22—21no—
736C22—22no—
737C22—41no—
738C22—41no—
739C22—42no—
740C22—62no—
741C22—82no—
742C22—81no—
743C22—81no—
744C22—121no—
745C22—121no—
746C22—122no—
747C22—161no—
748C22—242no—
749C22—241no—
750C22—241no—
751C22—481no—
752C22—484no—
753C22#554511yescharacteristic
754C22#560911yescharacteristic
755C22#565811yescharacteristic
756C4—22no—
757C4—64no—
758C4—62no—
759C4—81no—
760C4—121no—
761C4—121no—
762C4—121no—
763C4—121no—
764C4—241no—
765C4C2×#67⋊C411yescharacteristic
766C4C4×D3×D411yescharacteristic
767C4#559111yescharacteristic
768C4#561011yescharacteristic
769C3#2289711yescharacteristic, complemented, Sylow
770C2—21no—
771C2—21no—
772C2—42no—
773C2—82no—
774C2—122no—
775C2—242no—
776C2#7487911yescharacteristic
777C2#8093511yescharacteristic
778C2#8094111yescharacteristic
subgroupG/H
centerC22#5609
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×#1907C2
socleC22×C3D42
prime radicalC2×#5198C2
cosocleC22×C3×C4C24
hypercenter#1907D3
hypocenterC3#22897
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1907

Complements

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

NH ≅ G/Ntype
2. #83930C2semidirect
3. #83797C2semidirect
4. #78882C2semidirect
5. #78726C2semidirect
6. C3×#1907C2semidirect
7. #72008C2semidirect
8. #70297C2semidirect
9. #70157C2semidirect
10. #70088C2semidirect
11. #70070C2semidirect
12. #69002C2semidirect
13. #68983C2semidirect
14. #68931C2semidirect
15. #68926C2semidirect
22. #5798C22semidirect
27. C2×C3×#102C22semidirect
28. C2×C3×#100C22semidirect
31. C2×#832C22semidirect
32. #5198C4semidirect
44. #5122C22semidirect
45. #5121C22semidirect
50. #5101C22semidirect
51. C2×C8×Dic3C22semidirect
52. #4975C22semidirect
54. #4964C22semidirect
63. C3×#343C22semidirect
64. C3×#341C22semidirect
65. #4558C22semidirect
66. #4555C22semidirect
67. #4555C22semidirect
68. #4554C22semidirect
78. #1907D3semidirect
90. #1009C2×C4semidirect
99. C3×AGL(1,ℤ/8)C2×C4semidirect
114. #940C2×C4semidirect
123. #932C2×C4semidirect
148. #837C2×C4semidirect
149. #835D4semidirect
150. #835D4semidirect
153. #832D4semidirect
154. #832D4semidirect
155. #825C2×C4semidirect
156. #823C2×C4semidirect
164. #821D4semidirect
165. #821D4semidirect
169. #816D4semidirect
170. #816D4semidirect
219. C2×#102C2×D3semidirect
221. C2×#100C2×D3semidirect
227. #343C2×D3semidirect
229. #341C2×D3semidirect
355. AGL(1,ℤ/8)C4×D3semidirect
769. C3#22897semidirect

Maximal subgroups

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

subgroupindex
C2×#51982
#839302
#837972
#788822
#787262
C3×#19072
#720082
#702972
#701572
#700882
#700702
#690022
#689832
#689312
#689262
#228973