Finite Group Databasebeta

← #11662487

Subgroups — #11662487

Order 768.

2756 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3488C211yesmaximal, characteristic, complemented
2C2×#5836C211yesmaximal, characteristic, complemented
3#87264C211yesmaximal, characteristic, complemented
4C22×#948C211yesmaximal, characteristic, complemented
5#84099C211yesmaximal, characteristic, complemented
6#83423C213yesmaximal, complemented
7#83420C213yesmaximal, complemented
8#83379C213yesmaximal, complemented
9#83377C213yesmaximal, complemented
10#82925C213yesmaximal, complemented
11#82922C213yesmaximal, complemented
12#82621C213yesmaximal, complemented
13C2×#5041C213yesmaximal, complemented
14#82570C211yesmaximal, characteristic, complemented
15#82561C211yesmaximal, characteristic, complemented
16#60457—31nomaximal, Sylow
17C2×C3×H(5,𝔽2)C2211yescharacteristic
18C22×C3×#41C2211yescharacteristic
19C2×#1010C2211yescharacteristic
20C3×#550—21no—
21C3×#548—21no—
22C3×#546—23no—
23C3×D42—23no—
24C3×#537C2213yes—
25C3×#535C2213yes—
26C3×#525C2213yes—
27C2×C3×#121C2213yes—
28C3×#520C2211yescharacteristic
29#5836—28no—
30#5833C2213yescomplemented
31#5831—21no—
32#5827C2211yescharacteristic
33#5825C2213yescomplemented
34#5824—23no—
35C2×#951C2213yescomplemented
36C2×#950C2213yescomplemented
37C2×#948—28no—
38C2×#948C2211yescharacteristic
39C2×#948C2211yescharacteristic
40C2×#948C2213yescomplemented
41C2×#948C2213yescomplemented
42Q8×#67—21no—
43#5806—23no—
44C22×#214C2213yescomplemented
45C2×#932C2213yescomplemented
46#5791C2213yescomplemented
47C2×#924C2213yescomplemented
48C22×#208C2213yescomplemented
49C23×C3⋊C8C2213yescomplemented
50#5233C2213yescomplemented
51#5232C2213yescomplemented
52#5215C2213yescomplemented
53C2×#832C2213yescomplemented
54#5052C2216yescomplemented
55#5051C2213yescomplemented
56#5051C2213yescomplemented
57#5048C2213yescomplemented
58#5048C2211yescharacteristic, complemented
59#5042C2216yescomplemented
60#5042C2216yescomplemented
61#5041C2213yescomplemented
62#5041C2216yescomplemented
63#5041C2216yescomplemented
64#5041C2213yescomplemented
65#5041C2216yescomplemented
66#5039C2216yescomplemented
67#5038C2213yescomplemented
68#5038C2213yescomplemented
69#5004C2213yescomplemented
70#5002C2213yescomplemented
71#4998C2213yescomplemented
72#4995C2213yescomplemented
73C2×#810C2213yescomplemented
74#4966C2213yescomplemented
75#4964C2213yescomplemented
76C2×#808C2213yescomplemented
77C2×#577—31no—
78C22×#131—31no—
79#3489—31no—
80#3488D311yescharacteristic, complemented
81#3063—33no—
82#3062—33no—
83#3060—33no—
84#3057—33no—
85#3056—33no—
86#3055—33no—
87#3050—33no—
88C2×#465—33no—
89#2912—31no—
90#2898—31no—
91#2897—31no—
92C3×H(5,𝔽2)—24no—
93C3×H(5,𝔽2)—24no—
94C2×C3×#41—24no—
95C2×C3×#41—24no—
96C2×C3×#41—21no—
97C2×C3×#41D413yes—
98C2×C3×#41D411yescharacteristic
99C2×C3×#41C2313yes—
100C2×C3×#41C2313yes—
101C2×C3×#41C2311yescharacteristic
102C22×C3×Q8D411yescharacteristic
103C22×C3×D4—23no—
104C22×C3×D4—23no—
105C22×C3×D4D413yes—
106C22×C3×D4C2313yes—
107C23×C3×C4C2313yes—
108#1010—24no—
109#1010—24no—
110C2×D3×Q8—21no—
111C2×#237—23no—
112C2×#235C2313yes—
113C22×Dic6C2313yes—
114C3×#127—23no—
115C3×#124—23no—
116C3×#123—23no—
117C3×C22⋊Q8—23no—
118C3×C22⋊Q8C2311yescharacteristic
119C3×C22⋊Q8C2313yes—
120C3×#121—26no—
121C3×#121—23no—
122C3×#121—23no—
123C3×#121—23no—
124C3×#121C2313yes—
125C3×#121C2313yes—
126C3×#121C2316yes—
127C3×#120—23no—
128C3×#120—26no—
129C3×C4×Q8—21no—
130C3×C4×D4—23no—
131C3×C4×D4—23no—
132C3×C4×D4—23no—
133C3×#117C2313yes—
134C2×C3×C4⋊C4C2313yes—
135C2×C3×C22⋊C4—23no—
136#953—23no—
137C2×#217—23no—
138#951—212no—
139#950—212no—
140#948—24no—
141#948—212no—
142#948—212no—
143#948D418yescomplemented
144#946—23no—
145Q8×Dic3—21no—
146#944—23no—
147C2×#216C2313yes—
148C2×#215C2311yescharacteristic
149#939—26no—
150#938—23no—
151#936—23no—
152#935—26no—
153D4×Dic3—23no—
154C2×#214—212no—
155C2×#214C2316yes—
156C2×#214C2313yes—
157#932—212no—
158C2×#213C2313yes—
159#930C2311yescharacteristic
160#930C2313yes—
161#929—23no—
162C4×#67—23no—
163C4×#67—23no—
164#926C2313yes—
165C2×C4⋊Dic3C2313yes—
166#924—23no—
167#924—23no—
168#924C2313yes—
169#924C2316yes—
170#924C2313yes—
171C2×Dic3⋊C4—23no—
172C2×#208—212no—
173C2×#208C2313yes—
174C2×#208C2316yes—
175C2×#208C2313yes—
176C22×C3⋊C8—212no—
177C22×C3⋊C8C2313yes—
178C22×C3⋊C8C2311yescharacteristic
179C22×C3⋊C8C2313yes—
180C22×C3⋊C8C2313yes—
181C22×C3⋊C8C2313yes—
182C22×C3⋊C8C2313yes—
183#835C2313yes—
184#835C2311yescharacteristic
185#832C2313yes—
186#832C2316yes—
187#832C2313yes—
188#810C2316yes—
189#810C2313yes—
190#810C2313yes—
191#809C2313yes—
192#809C2311yescharacteristic
193#808C2313yes—
194#808C2316yes—
195#808C2311yescharacteristic
196#807C2313yes—
197#807C2313yes—
198C2×2−1+4—31no—
199C2×H(5,𝔽2)C2×D311yescharacteristic
200C22×#41C2×D311yescharacteristic
201#577—68no—
202C2×#137—33no—
203C2×AGL(1,ℤ/8)—33no—
204C2×#135—33no—
205C22×SD16—33no—
206C2×#131—31no—
207C2×#131—31no—
208C2×#131—33no—
209C2×#131—33no—
210C2×#131—68no—
211C22×M16—33no—
212C23×C8—33no—
213#550—21no—
214D4×Q8—61no—
215#548—21no—
216#548—61no—
217#547—63no—
218#546—23no—
219#546—63no—
220D42—23no—
221#537—33no—
222#537C2×D313yes—
223#536—33no—
224#535C2×D313yes—
225#525—33no—
226#525C2×D313yes—
227C2×C22⋊Q8—33no—
228C2×#121C2×D313yes—
229#520—31no—
230#520C2×D311yescharacteristic
231#470—36no—
232#469—36no—
233#468—36no—
234#468—36no—
235#467—33no—
236#467—33no—
237#466—33no—
238#466—33no—
239#465—31no—
240#465—33no—
241#465—33no—
242#465—36no—
243#465—36no—
244#465—36no—
245#465—33no—
246#428—33no—
247#428—33no—
248#427—33no—
249C2×#106—33no—
250#419—33no—
251#418—33no—
252#417—33no—
253#417—33no—
254#416—33no—
255#416—33no—
256C2×#103—33no—
257C2×#102—33no—
258C24×C3—23no—
259C24×C3C2×D413yes—
260C3×#41—24no—
261C3×#41—212no—
262C3×#41—26no—
263C3×#41—26no—
264C3×#41—26no—
265C3×#41—26no—
266C3×#41—44no—
267C3×#41C2×D414yes—
268C3×#41#4114yes—
269C2×C3×Q8—24no—
270C2×C3×Q8C2×D413yes—
271C2×C3×Q8C2×D411yescharacteristic
272C2×C3×Q8C2411yescharacteristic
273C2×C3×D4—212no—
274C2×C3×D4—23no—
275C2×C3×D4—23no—
276C2×C3×D4—23no—
277C2×C3×D4—26no—
278C2×C3×D4—26no—
279C2×C3×D4—23no—
280C2×C3×D4—26no—
281C2×C3×D4—412no—
282C2×C3×D4—86no—
283C2×C3×D4C2×D416yes—
284C2×C3×D4C2×D413yes—
285C2×C3×D4C2×D413yes—
286C2×C3×D4C2413yes—
287C22×C3×C4—26no—
288C22×C3×C4—26no—
289C22×C3×C4—23no—
290C22×C3×C4—23no—
291C22×C3×C4C2×D413yes—
292C22×C3×C4C2×D413yes—
293C22×C3×C4C2×D413yes—
294C22×C3×C4C2411yescharacteristic
295C22×C3×C4C2413yes—
296C22×C3×C4C2413yes—
297C2×#67—21no—
298C2×#67—23no—
299C2×#67—23no—
300C22×Dic3—23no—
301C22×Dic3—23no—
302D3×Q8—44no—
303#237—412no—
304#235—26no—
305#235—26no—
306C2×D12C2411yescharacteristic
307C2×C4×D3—23no—
308C2×Dic6—26no—
309C2×Dic6—26no—
310C2×Dic6—23no—
311C2×Dic6C2413yes—
312C3×C4⋊C4—23no—
313C3×C4⋊C4—21no—
314C3×C4⋊C4—23no—
315C3×C4⋊C4C2411yescharacteristic
316C3×C4⋊C4C2413yes—
317C3×C22⋊C4—23no—
318C3×C22⋊C4—21no—
319C3×C22⋊C4—23no—
320C3×C22⋊C4—23no—
321C3×C22⋊C4—26no—
322C3×C22⋊C4—23no—
323C3×C42—23no—
324#217—23no—
325#217—26no—
326#217—23no—
327#217—23no—
328#216—26no—
329#215—22no—
330#214—212no—
331#214—26no—
332#213—26no—
333(C2×D3)⋊C4—21no—
334(C2×D3)⋊C4—23no—
335C4⋊Dic3—23no—
336C4⋊Dic3C2411yescharacteristic
337C4⋊Dic3C2413yes—
338Dic3⋊C4—23no—
339Dic3⋊C4—26no—
340Dic3⋊C4—23no—
341C4×Dic3—23no—
342#208—26no—
343#208—212no—
344#208C2×D4112yescomplemented
345C2×C3⋊C8—26no—
346C2×C3⋊C8—22no—
347C2×C3⋊C8—26no—
348C2×C3⋊C8—26no—
349C2×C3⋊C8—26no—
350C2×C3⋊C8C2×D4112yescomplemented
351C2×C3⋊C8C2411yescharacteristic
352C2×C3⋊C8C2413yes—
353C2×C3⋊C8C2413yes—
354C2×C3⋊C8C2411yescharacteristic
3552−1+4—64no—
3562−1+4—64no—
357H(5,𝔽2)—24no—
358H(5,𝔽2)—24no—
359C2×#41—24no—
360C2×#41—24no—
361C2×#41—21no—
362C2×#41—33no—
363C2×#41—63no—
364C2×#41#6713yes—
365C2×#41#6711yescharacteristic
366C2×#41C22×D313yes—
367C2×#41C22×D313yes—
368C2×#41C22×D311yescharacteristic
369C22×Q8—33no—
370C22×Q8—61no—
371C22×Q8#6711yescharacteristic
372C22×D4—23no—
373C22×D4—23no—
374C22×D4#6713yes—
375C22×D4C22×D313yes—
376C23×C4C22×D313yes—
377#137—612no—
378AGL(1,ℤ/8)—612no—
379#135—612no—
380C2×Q16—33no—
381C2×SD16—31no—
382C2×SD16—33no—
383C2×SD16—36no—
384C2×SD16—612no—
385C2×D8—33no—
386#131—38no—
387#131—612no—
388#131—612no—
389#131—64no—
390C2×M16—33no—
391C2×M16—33no—
392C2×M16—36no—
393C2×M16—612no—
394C22×C8—33no—
395C22×C8—31no—
396C22×C8—33no—
397C22×C8—33no—
398C22×C8—33no—
399C22×C8—33no—
400C22×C8—612no—
401C4⋊Q8—63no—
402#127—23no—
403#124—23no—
404#124—63no—
405#123—23no—
406#123—66no—
407#123—63no—
408C22⋊Q8—23no—
409C22⋊Q8—33no—
410C22⋊Q8—36no—
411C22⋊Q8—33no—
412C22⋊Q8—63no—
413C22⋊Q8—63no—
414C22⋊Q8—63no—
415C22⋊Q8C22×D311yescharacteristic
416C22⋊Q8C22×D313yes—
417#121—26no—
418#121—23no—
419#121—23no—
420#121—23no—
421#121—31no—
422#121—33no—
423#121—66no—
424#121—63no—
425#121C22×D313yes—
426#121C22×D316yes—
427#121C22×D313yes—
428#120—23no—
429#120—26no—
430#120—63no—
431C4×Q8—21no—
432C4×Q8—61no—
433C4×D4—23no—
434C4×D4—23no—
435C4×D4—23no—
436C4×D4—63no—
437C4×D4—63no—
438C4×D4—63no—
439#117—33no—
440#117C22×D313yes—
441C2×C4⋊C4—33no—
442C2×C4⋊C4—63no—
443C2×C4⋊C4C22×D313yes—
444C2×C22⋊C4—23no—
445C2×C22⋊C4—63no—
446#107—33no—
447#107—33no—
448#106—33no—
449#106—36no—
450#106—31no—
451#103—31no—
452#103—33no—
453#103—33no—
454#103—36no—
455#103—33no—
456#102—33no—
457#102—36no—
458#102—33no—
459#102—31no—
460#102—33no—
461C23×C3—26no—
462C23×C3—26no—
463C23×C3—23no—
464C23×C3—43no—
465C23×C3—46no—
466C23×C3—83no—
467C23×C3—83no—
468C23×C3C22×D413yes—
469C23×C3C22×D413yes—
470C23×C3C22×D411yescharacteristic
471C22×D3—21no—
472C3×Q8—26no—
473C3×Q8—21no—
474C3×Q8—21no—
475C3×Q8#12114yes—
476C3×D4—212no—
477C3×D4—26no—
478C3×D4—23no—
479C3×D4—23no—
480C3×D4—46no—
481C3×D4—46no—
482C3×D4—46no—
483C3×D4—83no—
484C3×D4—86no—
485C3×D4#121112yes—
486C2×C3×C4—26no—
487C2×C3×C4—26no—
488C2×C3×C4—26no—
489C2×C3×C4—21no—
490C2×C3×C4—23no—
491C2×C3×C4—21no—
492C2×C3×C4—23no—
493C2×C3×C4—21no—
494C2×C3×C4—23no—
495C2×C3×C4—21no—
496C2×C3×C4—46no—
497C2×C3×C4—83no—
498C2×C3×C4C22×D416yes—
499C2×C3×C4C22×D411yescharacteristic
500C2×C3×C4C22×D413yes—
501C2×C3×C4C22×D413yes—
502C2×C3×C4C2×#4116yes—
503C2×C3×C4C2511yescharacteristic
504#67—46no—
505#67—42no—
506#67—83no—
507C2×Dic3—21no—
508C2×Dic3—23no—
509C2×Dic3—23no—
510C2×Dic3—46no—
511C2×Dic3—83no—
512D12—21no—
513D12—21no—
514C4×D3—46no—
515Dic6—23no—
516Dic6—23no—
517Dic6—46no—
518C3⋊C8—21no—
519C3⋊C8—23no—
520C3⋊C8C22×D412yes—
521C3⋊C8C22×D416yes—
522C24—23no—
523C24C2×#6713yes—
524#41—24no—
525#41—212no—
526#41—26no—
527#41—26no—
528#41—26no—
529#41—26no—
530#41—44no—
531#41—66no—
532#41—66no—
533#41—1212no—
534#41D3×D414yes—
535#41#23714yes—
536C2×Q8—24no—
537C2×Q8—33no—
538C2×Q8—63no—
539C2×Q8—66no—
540C2×Q8—66no—
541C2×Q8—124no—
542C2×Q8C2×#6713yes—
543C2×Q8C2×#6711yescharacteristic
544C2×Q8C23×D311yescharacteristic
545C2×D4—212no—
546C2×D4—23no—
547C2×D4—23no—
548C2×D4—23no—
549C2×D4—26no—
550C2×D4—26no—
551C2×D4—26no—
552C2×D4—23no—
553C2×D4—31no—
554C2×D4—412no—
555C2×D4—61no—
556C2×D4—63no—
557C2×D4—63no—
558C2×D4—86no—
559C2×D4C2×#6716yes—
560C2×D4C2×#6713yes—
561C2×D4C2×#6713yes—
562C2×D4C23×D313yes—
563C22×C4—26no—
564C22×C4—26no—
565C22×C4—23no—
566C22×C4—23no—
567C22×C4—63no—
568C22×C4—63no—
569C22×C4—63no—
570C22×C4C2×#6713yes—
571C22×C4C2×#6713yes—
572C22×C4C2×#6713yes—
573C22×C4C23×D311yescharacteristic
574C22×C4C23×D313yes—
575C22×C4C23×D313yes—
576Q16—66no—
577SD16—66no—
578SD16—612no—
579SD16—62no—
580D8—66no—
581M16—312no—
582M16—612no—
583M16—66no—
584C2×C8—312no—
585C2×C8—31no—
586C2×C8—33no—
587C2×C8—31no—
588C2×C8—33no—
589C2×C8—62no—
590C2×C8—66no—
591C2×C8—66no—
592C2×C8—66no—
593C2×C8—66no—
594C4⋊C4—23no—
595C4⋊C4—21no—
596C4⋊C4—23no—
597C4⋊C4—33no—
598C4⋊C4—31no—
599C4⋊C4—63no—
600C4⋊C4—63no—
601C4⋊C4—66no—
602C4⋊C4—63no—
603C4⋊C4C23×D313yes—
604C4⋊C4C23×D311yescharacteristic
605C22⋊C4—23no—
606C22⋊C4—21no—
607C22⋊C4—23no—
608C22⋊C4—23no—
609C22⋊C4—26no—
610C22⋊C4—23no—
611C22⋊C4—63no—
612C22⋊C4—66no—
613C22⋊C4—63no—
614C22⋊C4—63no—
615C22⋊C4—61no—
616C22⋊C4—63no—
617C42—23no—
618C42—63no—
619C22×C3—23no—
620C22×C3—21no—
621C22×C3—21no—
622C22×C3—23no—
623C22×C3—23no—
624C22×C3—23no—
625C22×C3—23no—
626C22×C3—412no—
627C22×C3—43no—
628C22×C3—43no—
629C22×C3—43no—
630C22×C3—166no—
631C22×C3C2×#12116yes—
632C22×C3#57712yescomplemented
633C22×C3C23×D411yescharacteristic
634C2×D3—41no—
635C2×D3—41no—
636C2×D3—41no—
637C3×C4—21no—
638C3×C4—23no—
639C3×C4—41no—
640C3×C4—41no—
641C3×C4—43no—
642C3×C4C2×#12116yes—
643C3×C4C23×D411yescharacteristic
644C3×C4C22×#4111yescharacteristic
645Dic3—43no—
646Dic3—43no—
647Dic3—41no—
648C23—26no—
649C23—26no—
650C23—23no—
651C23—43no—
652C23—46no—
653C23—61no—
654C23—83no—
655C23—83no—
656C23C22×#6713yes—
657C23C22×#6713yes—
658C23C22×#6711yescharacteristic
659Q8—26no—
660Q8—21no—
661Q8—21no—
662Q8—63no—
663Q8—63no—
664Q8—126no—
665Q8#93914yes—
666D4—212no—
667D4—23no—
668D4—23no—
669D4—26no—
670D4—46no—
671D4—46no—
672D4—46no—
673D4—61no—
674D4—61no—
675D4—86no—
676D4—83no—
677D4—126no—
678D4—122no—
679D4—243no—
680D4#939112yes—
681C2×C4—26no—
682C2×C4—21no—
683C2×C4—23no—
684C2×C4—21no—
685C2×C4—23no—
686C2×C4—26no—
687C2×C4—26no—
688C2×C4—21no—
689C2×C4—23no—
690C2×C4—21no—
691C2×C4—46no—
692C2×C4—61no—
693C2×C4—63no—
694C2×C4—63no—
695C2×C4—83no—
696C2×C4—126no—
697C2×C4—126no—
698C2×C4—243no—
699C2×C4C2×D3×D416yes—
700C2×C4C2×#23716yes—
701C2×C4C22×#6711yescharacteristic
702C2×C4C22×#6713yes—
703C2×C4C22×#6713yes—
704C2×C4C24×D311yescharacteristic
705C8—32no—
706C8—36no—
707C8—61no—
708C8—63no—
709C2×C3—22no—
710C2×C3—26no—
711C2×C3—43no—
712C2×C3—83no—
713C2×C3C22×#12111yescharacteristic
714C2×C3C2×#57711yescharacteristic
715C2×C3#358411yescharacteristic
716D3—81no—
717C22—23no—
718C22—21no—
719C22—21no—
720C22—23no—
721C22—23no—
722C22—23no—
723C22—23no—
724C22—412no—
725C22—43no—
726C22—43no—
727C22—43no—
728C22—121no—
729C22—121no—
730C22—121no—
731C22—166no—
732C22C2×#93916yes—
733C22#583612yescomplemented
734C22C23×#6711yescharacteristic
735C4—21no—
736C4—23no—
737C4—41no—
738C4—41no—
739C4—43no—
740C4—123no—
741C4—123no—
742C4—121no—
743C4C2×#93916yes—
744C4C22×D3×D411yescharacteristic
745C4C22×#23711yescharacteristic
746C3#6045711yescharacteristic, complemented, Sylow
747C2—22no—
748C2—26no—
749C2—43no—
750C2—83no—
751C2—241no—
752C2C22×#93911yescharacteristic
753C2C2×#583611yescharacteristic
754C2#8729711yescharacteristic
subgroupG/H
centerC22C23×#67
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3488C2
socleC22×C3C23×D4
hypercenter#3488D3
hypocenterC3#60457
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C22×#41 ◁ #3488

Complements

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

NH ≅ G/Ntype
1. C3×#3488C2semidirect
2. C2×#5836C2semidirect
3. #87264C2semidirect
4. C22×#948C2semidirect
5. #84099C2semidirect
6. #83423C2semidirect
7. #83420C2semidirect
8. #83379C2semidirect
9. #83377C2semidirect
10. #82925C2semidirect
11. #82922C2semidirect
12. #82621C2semidirect
13. C2×#5041C2semidirect
14. #82570C2semidirect
15. #82561C2semidirect
30. #5833C22semidirect
33. #5825C22semidirect
35. C2×#951C22semidirect
36. C2×#950C22semidirect
40. C2×#948C22semidirect
41. C2×#948C22semidirect
44. C22×#214C22semidirect
45. C2×#932C22semidirect
46. #5791C22semidirect
47. C2×#924C22semidirect
48. C22×#208C22semidirect
49. C23×C3⋊C8C22semidirect
50. #5233C22semidirect
51. #5232C22semidirect
52. #5215C22semidirect
53. C2×#832C22semidirect
54. #5052C22semidirect
55. #5051C22semidirect
56. #5051C22semidirect
57. #5048C22semidirect
58. #5048C22semidirect
59. #5042C22semidirect
60. #5042C22semidirect
61. #5041C22semidirect
62. #5041C22semidirect
63. #5041C22semidirect
64. #5041C22semidirect
65. #5041C22semidirect
66. #5039C22semidirect
67. #5038C22semidirect
68. #5038C22semidirect
69. #5004C22semidirect
70. #5002C22semidirect
71. #4998C22semidirect
72. #4995C22semidirect
73. C2×#810C22semidirect
74. #4966C22semidirect
75. #4964C22semidirect
76. C2×#808C22semidirect
80. #3488D3semidirect
143. #948D4semidirect
344. #208C2×D4semidirect
350. C2×C3⋊C8C2×D4semidirect
632. C22×C3#577semidirect
733. C22#5836semidirect
746. C3#60457semidirect

Maximal subgroups

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

subgroupindex
C3×#34882
C2×#58362
#872642
C22×#9482
#840992
#834232
#834202
#833792
#833772
#829252
#829222
#826212
C2×#50412
#825702
#825612
#604573