Finite Group Databasebeta

← #11662495

Subgroups — #11662495

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×#3489C211yesmaximal, characteristic, complemented
2C2×#5837C211yesmaximal, characteristic, complemented
3#87275C211yesmaximal, characteristic, complemented
4C22×#948C211yesmaximal, characteristic, complemented
5#84111C211yesmaximal, characteristic, complemented
6#83422C213yesmaximal, complemented
7#83420C213yesmaximal, complemented
8#83400C213yesmaximal, complemented
9#83398C213yesmaximal, complemented
10#82924C213yesmaximal, complemented
11#82922C213yesmaximal, complemented
12#82732C213yesmaximal, complemented
13C2×#5048C213yesmaximal, complemented
14#82563C211yesmaximal, characteristic, complemented
15#82561C211yesmaximal, characteristic, complemented
16#60457—31nomaximal, Sylow
17C2×C3×2−1+4C2211yescharacteristic
18C22×C3×#41C2211yescharacteristic
19C2×#1009C2211yescharacteristic
20C3×D4×Q8—21no—
21C3×#548—21no—
22C3×#547—23no—
23C3×#546—23no—
24C3×#537C2213yescomplemented
25C3×#536C2213yescomplemented
26C3×#525C2213yescomplemented
27C2×C3×C22⋊Q8C2213yescomplemented
28C3×#520C2211yescharacteristic
29#5837—28no—
30#5834—21no—
31#5833C2213yes—
32#5830C2213yes—
33#5829—23no—
34#5827C2211yescharacteristic
35C2×#950C2213yescomplemented
36C2×#949C2213yescomplemented
37C2×#948—28no—
38C2×#948C2211yescharacteristic
39C2×#948C2211yescharacteristic
40C2×#948C2213yescomplemented
41C2×#948C2213yescomplemented
42#5817—21no—
43C2×#942C2213yescomplemented
44C22×#215C2213yescomplemented
45D4×#67—23no—
46#5791C2213yes—
47C2×#930C2213yes—
48C22×#208C2213yescomplemented
49C23×C3⋊C8C2213yescomplemented
50#5233C2213yescomplemented
51#5232C2213yescomplemented
52#5225C2213yescomplemented
53C2×#835C2213yescomplemented
54#5052C2216yescomplemented
55#5051C2213yescomplemented
56#5051C2213yescomplemented
57#5049C2216yescomplemented
58#5049C2216yescomplemented
59#5048C2213yescomplemented
60#5048C2216yescomplemented
61#5048C2216yescomplemented
62#5048C2216yescomplemented
63#5048C2213yescomplemented
64#5041C2213yescomplemented
65#5041C2211yescharacteristic, complemented
66#5039C2216yescomplemented
67#5038C2213yescomplemented
68#5038C2213yescomplemented
69#5002C2213yescomplemented
70#5001C2213yescomplemented
71#4998C2213yescomplemented
72#4995C2213yescomplemented
73#4966C2213yescomplemented
74C2×#809C2213yescomplemented
75#4964C2213yescomplemented
76C2×#808C2213yescomplemented
77C2×#577—31no—
78C22×#131—31no—
79#3489D311yescharacteristic, complemented
80#3488—31no—
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—
92C3×2−1+4—24no—
93C3×2−1+4—24no—
94C2×C3×#41—24no—
95C2×C3×#41—24no—
96C2×C3×#41—23no—
97C2×C3×#41D413yes—
98C2×C3×#41D411yescharacteristic
99C2×C3×#41C2313yes—
100C2×C3×#41C2313yes—
101C2×C3×#41C2311yescharacteristic
102C22×C3×Q8—21no—
103C22×C3×Q8D411yescharacteristic
104C22×C3×Q8C2313yes—
105C22×C3×D4D413yes—
106C23×C3×C4C2313yes—
107C22×#67—23no—
108#1009—24no—
109#1009—24no—
110C2×#239—21no—
111C2×D3×D4—23no—
112C2×#235C2313yes—
113C22×D12C2313yes—
114C3×C4⋊Q8—23no—
115C3×#124—23no—
116C3×#123—26no—
117C3×#123—23no—
118C3×C22⋊Q8—23no—
119C3×C22⋊Q8—23no—
120C3×C22⋊Q8—23no—
121C3×C22⋊Q8C2313yes—
122C3×C22⋊Q8C2316yes—
123C3×C22⋊Q8C2313yes—
124C3×#121—26no—
125C3×#121—23no—
126C3×#121C2311yescharacteristic
127C3×#121C2313yes—
128C3×#120—23no—
129C3×C4×Q8—21no—
130C3×C4×D4—23no—
131C3×C4×D4—23no—
132C3×C4×D4—23no—
133C3×#117C2313yes—
134C2×C3×C4⋊C4—23no—
135C2×C3×C4⋊C4C2313yes—
136C2×C3×C22⋊C4—23no—
137#953—23no—
138#950—212no—
139#949—212no—
140#948—24no—
141#948—212no—
142#948—212no—
143#948D418yescomplemented
144#947—23no—
145#946—23no—
146Q8×Dic3—21no—
147C2×#216C2313yes—
148#942—212no—
149C2×#215—212no—
150C2×#215C2313yes—
151C2×#215C2316yes—
152#940—23no—
153#939—26no—
154#938—23no—
155#937—26no—
156D4×Dic3—23no—
157C2×#214C2311yescharacteristic
158C2×#213C2313yes—
159#930—23no—
160#930—23no—
161#930C2313yes—
162#930C2316yes—
163#930C2313yes—
164#929—23no—
165C4×#67—23no—
166C4×#67—23no—
167C2×(C2×D3)⋊C4—23no—
168#926C2313yes—
169C2×C4⋊Dic3C2313yes—
170#924C2311yescharacteristic
171#924C2313yes—
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#835C2316yes—
185#835C2313yes—
186#832C2313yes—
187#832C2311yescharacteristic
188#810C2313yes—
189#810C2311yescharacteristic
190#809C2313yes—
191#809C2316yes—
192#809C2313yes—
193#808C2313yes—
194#808C2316yes—
195#808C2311yescharacteristic
196#807C2313yes—
197#807C2313yes—
198C2×2−1+4C2×D311yescharacteristic
199C2×H(5,𝔽2)—31no—
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—61no—
214D4×Q8—21no—
215#548—21no—
216#548—61no—
217#547—23no—
218#546—23no—
219#546—63no—
220D42—63no—
221#537—33no—
222#537C2×D313yescomplemented
223#536C2×D313yescomplemented
224#535—33no—
225#525—33no—
226#525C2×D313yescomplemented
227C2×C22⋊Q8C2×D313yescomplemented
228C2×#121—33no—
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—33no—
240#465—36no—
241#465—36no—
242#465—36no—
243#465—33no—
244#465—31no—
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×C3C2×D413yes—
259C23×D3—23no—
260C3×#41—24no—
261C3×#41—212no—
262C3×#41—26no—
263C3×#41—26no—
264C3×#41—26no—
265C3×#41—26no—
266C3×#41—412no—
267C3×#41C2×D414yes—
268C3×#41#4114yes—
269C2×C3×Q8—24no—
270C2×C3×Q8—23no—
271C2×C3×Q8—26no—
272C2×C3×Q8—26no—
273C2×C3×Q8—44no—
274C2×C3×Q8C2×D413yes—
275C2×C3×Q8C2×D411yescharacteristic
276C2×C3×Q8C2413yes—
277C2×C3×D4—212no—
278C2×C3×D4—21no—
279C2×C3×D4—23no—
280C2×C3×D4—23no—
281C2×C3×D4C2×D416yes—
282C2×C3×D4C2×D413yes—
283C2×C3×D4C2×D413yes—
284C2×C3×D4C2411yescharacteristic
285C22×C3×C4—26no—
286C22×C3×C4—26no—
287C22×C3×C4—23no—
288C22×C3×C4—23no—
289C22×C3×C4—23no—
290C22×C3×C4C2×D413yes—
291C22×C3×C4C2×D413yes—
292C22×C3×C4C2×D413yes—
293C22×C3×C4C2411yescharacteristic
294C22×C3×C4C2413yes—
295C22×C3×C4C2413yes—
296C2×#67—23no—
297C2×#67—23no—
298C2×#67—23no—
299C2×#67—26no—
300C2×#67—86no—
301C22×Dic3—23no—
302#239—44no—
303D3×D4—412no—
304#235—26no—
305#235—26no—
306C2×D12—26no—
307C2×D12—26no—
308C2×D12—23no—
309C2×D12C2413yes—
310C2×C4×D3—23no—
311C2×Dic6C2411yescharacteristic
312C3×C4⋊C4—23no—
313C3×C4⋊C4—26no—
314C3×C4⋊C4—23no—
315C3×C4⋊C4—23no—
316C3×C4⋊C4C2411yescharacteristic
317C3×C4⋊C4C2413yes—
318C3×C22⋊C4—23no—
319C3×C22⋊C4—26no—
320C3×C22⋊C4—23no—
321C3×C22⋊C4—23no—
322C3×C22⋊C4—21no—
323C3×C22⋊C4—23no—
324C3×C42—23no—
325#217—21no—
326#217—23no—
327#217—23no—
328#216—26no—
329#215—26no—
330#215—212no—
331#214—22no—
332#213—26no—
333(C2×D3)⋊C4—23no—
334(C2×D3)⋊C4—26no—
335(C2×D3)⋊C4—23no—
336C4⋊Dic3—23no—
337C4⋊Dic3C2411yescharacteristic
338C4⋊Dic3C2413yes—
339Dic3⋊C4—21no—
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—24no—
3562−1+4—24no—
357H(5,𝔽2)—64no—
358H(5,𝔽2)—64no—
359C2×#41—24no—
360C2×#41—24no—
361C2×#41—23no—
362C2×#41—33no—
363C2×#41—61no—
364C2×#41#6713yes—
365C2×#41#6711yescharacteristic
366C2×#41C22×D313yes—
367C2×#41C22×D313yes—
368C2×#41C22×D311yescharacteristic
369C22×Q8—21no—
370C22×Q8#6711yescharacteristic
371C22×Q8C22×D313yes—
372C22×D4—33no—
373C22×D4—63no—
374C22×D4—63no—
375C22×D4#6713yes—
376C23×C4C22×D313yes—
377#137—612no—
378AGL(1,ℤ/8)—612no—
379#135—612no—
380C2×Q16—33no—
381C2×SD16—33no—
382C2×SD16—36no—
383C2×SD16—31no—
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—23no—
402#127—63no—
403#124—23no—
404#124—63no—
405#123—26no—
406#123—23no—
407#123—63no—
408C22⋊Q8—23no—
409C22⋊Q8—23no—
410C22⋊Q8—23no—
411C22⋊Q8—31no—
412C22⋊Q8—33no—
413C22⋊Q8—63no—
414C22⋊Q8C22×D313yes—
415C22⋊Q8C22×D316yes—
416C22⋊Q8C22×D313yes—
417#121—26no—
418#121—23no—
419#121—33no—
420#121—36no—
421#121—33no—
422#121—66no—
423#121—63no—
424#121—63no—
425#121—63no—
426#121C22×D311yescharacteristic
427#121C22×D313yes—
428#120—23no—
429#120—63no—
430#120—66no—
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—23no—
442C2×C4⋊C4—33no—
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—33no—
452#103—36no—
453#103—33no—
454#103—31no—
455#103—33no—
456#102—31no—
457#102—33no—
458#102—33no—
459#102—36no—
460#102—33no—
461C23×C3—26no—
462C23×C3—26no—
463C23×C3—21no—
464C23×C3—43no—
465C23×C3C22×D413yes—
466C23×C3C22×D413yes—
467C23×C3C22×D411yescharacteristic
468C22×D3—23no—
469C22×D3—46no—
470C22×D3—83no—
471C22×D3—83no—
472C3×Q8—26no—
473C3×Q8—23no—
474C3×Q8—23no—
475C3×Q8—46no—
476C3×Q8#12114yes—
477C3×D4—212no—
478C3×D4—26no—
479C3×D4—21no—
480C3×D4—21no—
481C3×D4—46no—
482C3×D4—42no—
483C3×D4—83no—
484C3×D4#121112yes—
485C2×C3×C4—26no—
486C2×C3×C4—26no—
487C2×C3×C4—26no—
488C2×C3×C4—21no—
489C2×C3×C4—23no—
490C2×C3×C4—21no—
491C2×C3×C4—23no—
492C2×C3×C4—21no—
493C2×C3×C4—23no—
494C2×C3×C4—23no—
495C2×C3×C4—46no—
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—46no—
506#67—83no—
507#67—86no—
508C2×Dic3—21no—
509C2×Dic3—23no—
510C2×Dic3—21no—
511C2×Dic3—83no—
512D12—23no—
513D12—23no—
514D12—46no—
515C4×D3—46no—
516Dic6—21no—
517Dic6—21no—
518C3⋊C8—21no—
519C3⋊C8—23no—
520C3⋊C8C22×D412yes—
521C3⋊C8C22×D416yes—
522C24—63no—
523C24C2×#6713yes—
524#41—24no—
525#41—212no—
526#41—26no—
527#41—26no—
528#41—26no—
529#41—26no—
530#41—412no—
531#41—66no—
532#41—66no—
533#41—124no—
534#41D3×D414yes—
535#41#23714yes—
536C2×Q8—24no—
537C2×Q8—23no—
538C2×Q8—26no—
539C2×Q8—26no—
540C2×Q8—31no—
541C2×Q8—44no—
542C2×Q8C2×#6713yes—
543C2×Q8C2×#6711yescharacteristic
544C2×Q8C23×D313yes—
545C2×D4—212no—
546C2×D4—21no—
547C2×D4—23no—
548C2×D4—23no—
549C2×D4—33no—
550C2×D4—63no—
551C2×D4—63no—
552C2×D4—63no—
553C2×D4—66no—
554C2×D4—66no—
555C2×D4—66no—
556C2×D4—63no—
557C2×D4—1212no—
558C2×D4—246no—
559C2×D4C2×#6716yes—
560C2×D4C2×#6713yes—
561C2×D4C2×#6713yes—
562C2×D4C23×D311yescharacteristic
563C22×C4—26no—
564C22×C4—26no—
565C22×C4—23no—
566C22×C4—23no—
567C22×C4—23no—
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—62no—
578SD16—66no—
579SD16—612no—
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—26no—
596C4⋊C4—23no—
597C4⋊C4—23no—
598C4⋊C4—33no—
599C4⋊C4—31no—
600C4⋊C4—63no—
601C4⋊C4—61no—
602C4⋊C4—63no—
603C4⋊C4C23×D313yes—
604C4⋊C4C23×D311yescharacteristic
605C22⋊C4—23no—
606C22⋊C4—26no—
607C22⋊C4—23no—
608C22⋊C4—23no—
609C22⋊C4—21no—
610C22⋊C4—23no—
611C22⋊C4—63no—
612C22⋊C4—61no—
613C22⋊C4—63no—
614C22⋊C4—63no—
615C22⋊C4—66no—
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—41no—
628C22×C3—41no—
629C22×C3—41no—
630C22×C3C2×#12116yes—
631C22×C3#57712yescomplemented
632C22×C3C23×D411yescharacteristic
633C2×D3—43no—
634C2×D3—43no—
635C2×D3—43no—
636C2×D3—166no—
637C3×C4—21no—
638C3×C4—23no—
639C3×C4—43no—
640C3×C4—43no—
641C3×C4—41no—
642C3×C4C2×#12116yes—
643C3×C4C23×D411yescharacteristic
644C3×C4C22×#4111yescharacteristic
645Dic3—41no—
646Dic3—41no—
647Dic3—43no—
648C23—26no—
649C23—26no—
650C23—21no—
651C23—43no—
652C23—63no—
653C23—126no—
654C23—243no—
655C23—243no—
656C23C22×#6713yes—
657C23C22×#6713yes—
658C23C22×#6711yescharacteristic
659Q8—26no—
660Q8—23no—
661Q8—23no—
662Q8—46no—
663Q8—61no—
664Q8—61no—
665Q8#93914yes—
666D4—212no—
667D4—21no—
668D4—21no—
669D4—26no—
670D4—46no—
671D4—42no—
672D4—63no—
673D4—63no—
674D4—83no—
675D4—126no—
676D4—126no—
677D4—126no—
678D4—246no—
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—23no—
691C2×C4—46no—
692C2×C4—46no—
693C2×C4—61no—
694C2×C4—63no—
695C2×C4—61no—
696C2×C4—83no—
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—26no—
710C2×C3—22no—
711C2×C3—43no—
712C2×C3—81no—
713C2×C3C22×#12111yescharacteristic
714C2×C3C2×#57711yescharacteristic
715C2×C3#358411yescharacteristic
716D3—83no—
717C22—23no—
718C22—21no—
719C22—21no—
720C22—23no—
721C22—23no—
722C22—23no—
723C22—23no—
724C22—412no—
725C22—41no—
726C22—41no—
727C22—41no—
728C22—123no—
729C22—123no—
730C22—123no—
731C22—486no—
732C22C2×#93916yes—
733C22#583712yescomplemented
734C22C23×#6711yescharacteristic
735C4—21no—
736C4—23no—
737C4—43no—
738C4—43no—
739C4—41no—
740C4—121no—
741C4—121no—
742C4—123no—
743C4C2×#93916yes—
744C4C22×D3×D411yescharacteristic
745C4C22×#23711yescharacteristic
746C3#6045711yescharacteristic, complemented, Sylow
747C2—22no—
748C2—26no—
749C2—43no—
750C2—81no—
751C2—243no—
752C2C22×#93911yescharacteristic
753C2C2×#583711yescharacteristic
754C2#8729711yescharacteristic
subgroupG/H
centerC22C23×#67
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3489C2
socleC22×C3C23×D4
hypercenter#3489D3
hypocenterC3#60457
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C22×#41 ◁ #3489

Complements

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

NH ≅ G/Ntype
1. C3×#3489C2semidirect
2. C2×#5837C2semidirect
3. #87275C2semidirect
4. C22×#948C2semidirect
5. #84111C2semidirect
6. #83422C2semidirect
7. #83420C2semidirect
8. #83400C2semidirect
9. #83398C2semidirect
10. #82924C2semidirect
11. #82922C2semidirect
12. #82732C2semidirect
13. C2×#5048C2semidirect
14. #82563C2semidirect
15. #82561C2semidirect
24. C3×#537C22semidirect
25. C3×#536C22semidirect
26. C3×#525C22semidirect
27. C2×C3×C22⋊Q8C22semidirect
35. C2×#950C22semidirect
36. C2×#949C22semidirect
40. C2×#948C22semidirect
41. C2×#948C22semidirect
43. C2×#942C22semidirect
44. C22×#215C22semidirect
48. C22×#208C22semidirect
49. C23×C3⋊C8C22semidirect
50. #5233C22semidirect
51. #5232C22semidirect
52. #5225C22semidirect
53. C2×#835C22semidirect
54. #5052C22semidirect
55. #5051C22semidirect
56. #5051C22semidirect
57. #5049C22semidirect
58. #5049C22semidirect
59. #5048C22semidirect
60. #5048C22semidirect
61. #5048C22semidirect
62. #5048C22semidirect
63. #5048C22semidirect
64. #5041C22semidirect
65. #5041C22semidirect
66. #5039C22semidirect
67. #5038C22semidirect
68. #5038C22semidirect
69. #5002C22semidirect
70. #5001C22semidirect
71. #4998C22semidirect
72. #4995C22semidirect
73. #4966C22semidirect
74. C2×#809C22semidirect
75. #4964C22semidirect
76. C2×#808C22semidirect
79. #3489D3semidirect
143. #948D4semidirect
222. #537C2×D3semidirect
223. #536C2×D3semidirect
226. #525C2×D3semidirect
227. C2×C22⋊Q8C2×D3semidirect
344. #208C2×D4semidirect
350. C2×C3⋊C8C2×D4semidirect
631. C22×C3#577semidirect
733. C22#5837semidirect
746. C3#60457semidirect

Maximal subgroups

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

subgroupindex
C3×#34892
C2×#58372
#872752
C22×#9482
#841112
#834222
#834202
#834002
#833982
#829242
#829222
#827322
C2×#50482
#825632
#825612
#604573