Finite Group Databasebeta

← #11662502

Subgroups — #11662502

Order 768.

2824 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3488C211yesmaximal, characteristic, complemented
2C2×#5835C211yesmaximal, characteristic, complemented
3#87275C211yesmaximal, characteristic, complemented
4C22×#948C211yesmaximal, characteristic, complemented
5#84099C211yesmaximal, characteristic, complemented
6#83422C213yesmaximal, complemented
7#83421C213yesmaximal, complemented
8#83379C213yesmaximal, complemented
9#83378C213yesmaximal, complemented
10#82924C213yesmaximal, complemented
11#82922C213yesmaximal, complemented
12#82621C213yesmaximal, complemented
13C2×#5038C213yesmaximal, complemented
14#82563C211yesmaximal, characteristic, complemented
15#82562C211yesmaximal, characteristic, complemented
16#60458—31nomaximal, Sylow
17C2×C3×H(5,𝔽2)C2211yescharacteristic
18C22×C3×#41C2211yescharacteristic
19C2×#1009C2211yescharacteristic
20C3×#550—21no—
21C3×#548—21no—
22C3×#546—23no—
23C3×D42—23no—
24C3×#537C2213yescomplemented
25C3×#535C2213yescomplemented
26C3×#525C2213yescomplemented
27C2×C3×#121C2213yescomplemented
28C3×#520C2211yescharacteristic
29#5835—28no—
30#5834—21no—
31#5833C2213yescomplemented
32#5830C2213yescomplemented
33#5829—23no—
34#5827C2211yescharacteristic
35C2×#950C2213yescomplemented
36C2×#949C2213yescomplemented
37C2×#948—28no—
38C2×#948C2211yescharacteristic
39C2×#948C2211yescharacteristic
40C2×#948C2213yescomplemented
41C2×#948C2213yescomplemented
42#5817—21no—
43D4×#67—23no—
44C2×#932C2213yescomplemented
45C22×#213C2213yescomplemented
46#5791C2213yescomplemented
47C2×#930C2213yescomplemented
48C22×#208C2213yescomplemented
49C23×C3⋊C8C2213yescomplemented
50#5233C2213yescomplemented
51#5232C2213yescomplemented
52#5215C2213yescomplemented
53C2×#832C2213yescomplemented
54#5051C2213yescomplemented
55#5051C2211yescharacteristic, complemented
56#5049C2216yescomplemented
57#5048C2213yescomplemented
58#5048C2213yescomplemented
59#5042C2216yescomplemented
60#5041C2213yescomplemented
61#5041C2213yescomplemented
62#5039C2216yescomplemented
63#5039C2216yescomplemented
64#5038C2213yescomplemented
65#5038C2216yescomplemented
66#5038C2216yescomplemented
67#5038C2213yescomplemented
68#5038C2216yescomplemented
69#5002C2213yescomplemented
70#5001C2213yescomplemented
71#4998C2213yescomplemented
72#4995C2213yescomplemented
73#4966C2213yescomplemented
74C2×#809C2213yescomplemented
75#4964C2213yescomplemented
76C2×#807C2213yescomplemented
77C2×#576—31no—
78C22×#131—31no—
79#3488—31no—
80#3488D311yescharacteristic, complemented
81#3062—33no—
82#3062—33no—
83#3061—33no—
84#3058—33no—
85#3055—33no—
86#3055—33no—
87#3050—33no—
88C2×#466—33no—
89#2913—31no—
90#2897—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—
108C22×#67—23no—
109#1009—24no—
110#1009—24no—
111C2×#239—21no—
112C2×D3×D4—23no—
113C2×#235C2313yes—
114C22×D12C2313yes—
115C3×#127—23no—
116C3×#124—23no—
117C3×#123—23no—
118C3×C22⋊Q8—23no—
119C3×C22⋊Q8C2311yescharacteristic
120C3×C22⋊Q8C2313yes—
121C3×#121—26no—
122C3×#121—23no—
123C3×#121—23no—
124C3×#121—23no—
125C3×#121C2313yes—
126C3×#121C2316yes—
127C3×#121C2313yes—
128C3×#120—23no—
129C3×#120—26no—
130C3×C4×Q8—21no—
131C3×C4×D4—23no—
132C3×C4×D4—23no—
133C3×C4×D4—23no—
134C3×#117C2313yes—
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×#216C2311yescharacteristic
148C2×#215C2313yes—
149#940—23no—
150#939—26no—
151#938—23no—
152#937—26no—
153D4×Dic3—23no—
154C2×#214C2313yes—
155#932—212no—
156C2×#213—212no—
157C2×#213C2313yes—
158C2×#213C2316yes—
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#835C2311yescharacteristic
185#832C2313yes—
186#832C2316yes—
187#832C2313yes—
188#810C2313yes—
189#810C2311yescharacteristic
190#809C2313yes—
191#809C2316yes—
192#809C2313yes—
193#808C2313yes—
194#808C2313yes—
195#807C2313yes—
196#807C2316yes—
197#807C2311yescharacteristic
198C2×H(5,𝔽2)—31no—
199C2×H(5,𝔽2)C2×D311yescharacteristic
200C22×#41C2×D311yescharacteristic
201#576—68no—
202C2×AGL(1,ℤ/8)—33no—
203C2×AGL(1,ℤ/8)—33no—
204C2×#135—33no—
205C22×D8—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—
214#550—61no—
215#548—21no—
216#548—61no—
217#546—23no—
218#546—63no—
219D42—23no—
220D42—63no—
221#537—33no—
222#537C2×D313yescomplemented
223#535—33no—
224#535C2×D313yescomplemented
225#525—33no—
226#525C2×D313yescomplemented
227C2×#121—33no—
228C2×#121C2×D313yescomplemented
229#520—31no—
230#520C2×D311yescharacteristic
231#469—36no—
232#469—36no—
233#468—36no—
234#468—36no—
235#467—31no—
236#467—33no—
237#466—33no—
238#466—36no—
239#466—36no—
240#466—36no—
241#466—33no—
242#465—33no—
243#465—33no—
244#465—33no—
245#465—33no—
246#428—33no—
247#428—33no—
248#427—33no—
249C2×#107—33no—
250#418—33no—
251#418—33no—
252#417—33no—
253#417—33no—
254#416—33no—
255#416—33no—
256C2×#102—33no—
257C2×#102—33no—
258C24×C3—23no—
259C24×C3C2×D413yes—
260C23×D3—23no—
261C3×#41—24no—
262C3×#41—212no—
263C3×#41—26no—
264C3×#41—26no—
265C3×#41—26no—
266C3×#41—26no—
267C3×#41—44no—
268C3×#41C2×D414yes—
269C3×#41#4114yes—
270C2×C3×Q8—24no—
271C2×C3×Q8C2×D413yes—
272C2×C3×Q8C2×D411yescharacteristic
273C2×C3×Q8C2411yescharacteristic
274C2×C3×D4—212no—
275C2×C3×D4—23no—
276C2×C3×D4—23no—
277C2×C3×D4—23no—
278C2×C3×D4—26no—
279C2×C3×D4—26no—
280C2×C3×D4—23no—
281C2×C3×D4—26no—
282C2×C3×D4—412no—
283C2×C3×D4—86no—
284C2×C3×D4C2×D416yes—
285C2×C3×D4C2×D413yes—
286C2×C3×D4C2×D413yes—
287C2×C3×D4C2413yes—
288C22×C3×C4—26no—
289C22×C3×C4—26no—
290C22×C3×C4—23no—
291C22×C3×C4—23no—
292C22×C3×C4C2×D413yes—
293C22×C3×C4C2×D413yes—
294C22×C3×C4C2×D413yes—
295C22×C3×C4C2411yescharacteristic
296C22×C3×C4C2413yes—
297C22×C3×C4C2413yes—
298C2×#67—23no—
299C2×#67—23no—
300C2×#67—23no—
301C2×#67—26no—
302C2×#67—86no—
303C22×Dic3—23no—
304#239—44no—
305D3×D4—412no—
306#235—26no—
307#235—26no—
308C2×D12—26no—
309C2×D12—26no—
310C2×D12—23no—
311C2×D12C2413yes—
312C2×C4×D3—23no—
313C2×Dic6C2411yescharacteristic
314C3×C4⋊C4—23no—
315C3×C4⋊C4—21no—
316C3×C4⋊C4—23no—
317C3×C4⋊C4C2413yes—
318C3×C4⋊C4C2411yescharacteristic
319C3×C22⋊C4—23no—
320C3×C22⋊C4—21no—
321C3×C22⋊C4—23no—
322C3×C22⋊C4—23no—
323C3×C22⋊C4—26no—
324C3×C22⋊C4—23no—
325C3×C42—23no—
326#217—21no—
327#217—23no—
328#217—23no—
329#216—22no—
330#215—26no—
331#214—26no—
332#213—26no—
333#213—212no—
334(C2×D3)⋊C4—23no—
335(C2×D3)⋊C4—26no—
336(C2×D3)⋊C4—23no—
337C4⋊Dic3—23no—
338C4⋊Dic3C2413yes—
339C4⋊Dic3C2411yescharacteristic
340Dic3⋊C4—21no—
341Dic3⋊C4—23no—
342C4×Dic3—23no—
343#208—26no—
344#208—212no—
345#208C2×D4112yescomplemented
346C2×C3⋊C8—26no—
347C2×C3⋊C8—22no—
348C2×C3⋊C8—26no—
349C2×C3⋊C8—26no—
350C2×C3⋊C8—26no—
351C2×C3⋊C8C2×D4112yescomplemented
352C2×C3⋊C8C2411yescharacteristic
353C2×C3⋊C8C2413yes—
354C2×C3⋊C8C2411yescharacteristic
355C2×C3⋊C8C2413yes—
356H(5,𝔽2)—24no—
357H(5,𝔽2)—24no—
358H(5,𝔽2)—64no—
359H(5,𝔽2)—64no—
360C2×#41—24no—
361C2×#41—24no—
362C2×#41—21no—
363C2×#41—33no—
364C2×#41—61no—
365C2×#41#6713yes—
366C2×#41#6711yescharacteristic
367C2×#41C22×D313yes—
368C2×#41C22×D313yes—
369C2×#41C22×D311yescharacteristic
370C22×Q8#6711yescharacteristic
371C22×D4—23no—
372C22×D4—23no—
373C22×D4—33no—
374C22×D4—63no—
375C22×D4—63no—
376C22×D4#6713yes—
377C22×D4C22×D313yes—
378C23×C4C22×D313yes—
379AGL(1,ℤ/8)—612no—
380AGL(1,ℤ/8)—612no—
381#135—612no—
382C2×Q16—31no—
383C2×SD16—33no—
384C2×SD16—33no—
385C2×D8—33no—
386C2×D8—36no—
387C2×D8—612no—
388#131—38no—
389#131—612no—
390#131—612no—
391#131—64no—
392C2×M16—33no—
393C2×M16—33no—
394C2×M16—36no—
395C2×M16—612no—
396C22×C8—33no—
397C22×C8—31no—
398C22×C8—33no—
399C22×C8—33no—
400C22×C8—33no—
401C22×C8—33no—
402C22×C8—612no—
403#127—23no—
404#127—63no—
405#124—23no—
406#124—63no—
407#123—23no—
408#123—63no—
409C22⋊Q8—23no—
410C22⋊Q8—31no—
411C22⋊Q8—33no—
412C22⋊Q8—63no—
413C22⋊Q8C22×D311yescharacteristic
414C22⋊Q8C22×D313yes—
415#121—26no—
416#121—23no—
417#121—23no—
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×D313yes—
427#121C22×D316yes—
428#121C22×D313yes—
429#120—23no—
430#120—26no—
431#120—63no—
432#120—66no—
433C4×Q8—21no—
434C4×Q8—61no—
435C4×D4—23no—
436C4×D4—23no—
437C4×D4—23no—
438C4×D4—63no—
439C4×D4—63no—
440C4×D4—63no—
441#117—33no—
442#117C22×D313yes—
443C2×C4⋊C4—33no—
444C2×C4⋊C4C22×D313yes—
445C2×C22⋊C4—23no—
446C2×C22⋊C4—63no—
447#107—33no—
448#107—36no—
449#107—31no—
450#106—33no—
451#106—33no—
452#103—31no—
453#103—33no—
454#103—31no—
455#103—33no—
456#102—33no—
457#102—36no—
458#102—33no—
459#102—33no—
460#102—36no—
461#102—33no—
462C23×C3—26no—
463C23×C3—26no—
464C23×C3—23no—
465C23×C3—43no—
466C23×C3—46no—
467C23×C3—83no—
468C23×C3—83no—
469C23×C3C22×D413yes—
470C23×C3C22×D413yes—
471C23×C3C22×D411yescharacteristic
472C22×D3—23no—
473C22×D3—46no—
474C22×D3—83no—
475C22×D3—83no—
476C3×Q8—26no—
477C3×Q8—21no—
478C3×Q8—21no—
479C3×Q8#12114yes—
480C3×D4—212no—
481C3×D4—26no—
482C3×D4—23no—
483C3×D4—23no—
484C3×D4—46no—
485C3×D4—46no—
486C3×D4—46no—
487C3×D4—83no—
488C3×D4—86no—
489C3×D4#121112yes—
490C2×C3×C4—26no—
491C2×C3×C4—26no—
492C2×C3×C4—26no—
493C2×C3×C4—21no—
494C2×C3×C4—23no—
495C2×C3×C4—21no—
496C2×C3×C4—23no—
497C2×C3×C4—21no—
498C2×C3×C4—23no—
499C2×C3×C4—21no—
500C2×C3×C4—46no—
501C2×C3×C4—83no—
502C2×C3×C4C22×D416yes—
503C2×C3×C4C22×D411yescharacteristic
504C2×C3×C4C22×D413yes—
505C2×C3×C4C22×D413yes—
506C2×C3×C4C2×#4116yes—
507C2×C3×C4C2511yescharacteristic
508#67—46no—
509#67—46no—
510#67—83no—
511#67—86no—
512C2×Dic3—21no—
513C2×Dic3—23no—
514C2×Dic3—21no—
515C2×Dic3—83no—
516D12—23no—
517D12—23no—
518D12—46no—
519C4×D3—46no—
520Dic6—21no—
521Dic6—21no—
522C3⋊C8—21no—
523C3⋊C8—23no—
524C3⋊C8C22×D412yes—
525C3⋊C8C22×D416yes—
526C24—23no—
527C24—63no—
528C24C2×#6713yes—
529#41—24no—
530#41—212no—
531#41—26no—
532#41—26no—
533#41—26no—
534#41—26no—
535#41—44no—
536#41—66no—
537#41—66no—
538#41—124no—
539#41D3×D414yes—
540#41#23714yes—
541C2×Q8—24no—
542C2×Q8—31no—
543C2×Q8C2×#6713yes—
544C2×Q8C2×#6711yescharacteristic
545C2×Q8C23×D311yescharacteristic
546C2×D4—212no—
547C2×D4—23no—
548C2×D4—23no—
549C2×D4—23no—
550C2×D4—26no—
551C2×D4—26no—
552C2×D4—26no—
553C2×D4—23no—
554C2×D4—33no—
555C2×D4—412no—
556C2×D4—63no—
557C2×D4—63no—
558C2×D4—63no—
559C2×D4—66no—
560C2×D4—66no—
561C2×D4—66no—
562C2×D4—63no—
563C2×D4—86no—
564C2×D4—1212no—
565C2×D4—246no—
566C2×D4C2×#6716yes—
567C2×D4C2×#6713yes—
568C2×D4C2×#6713yes—
569C2×D4C23×D313yes—
570C22×C4—26no—
571C22×C4—26no—
572C22×C4—23no—
573C22×C4—23no—
574C22×C4—63no—
575C22×C4—63no—
576C22×C4C2×#6713yes—
577C22×C4C2×#6713yes—
578C22×C4C2×#6713yes—
579C22×C4C23×D311yescharacteristic
580C22×C4C23×D313yes—
581C22×C4C23×D313yes—
582Q16—62no—
583SD16—66no—
584SD16—66no—
585D8—66no—
586D8—612no—
587M16—312no—
588M16—612no—
589M16—66no—
590C2×C8—312no—
591C2×C8—33no—
592C2×C8—31no—
593C2×C8—31no—
594C2×C8—33no—
595C2×C8—62no—
596C2×C8—66no—
597C2×C8—66no—
598C2×C8—66no—
599C2×C8—66no—
600C4⋊C4—23no—
601C4⋊C4—21no—
602C4⋊C4—23no—
603C4⋊C4—31no—
604C4⋊C4—33no—
605C4⋊C4—63no—
606C4⋊C4—61no—
607C4⋊C4—63no—
608C4⋊C4C23×D311yescharacteristic
609C4⋊C4C23×D313yes—
610C22⋊C4—23no—
611C22⋊C4—21no—
612C22⋊C4—23no—
613C22⋊C4—23no—
614C22⋊C4—26no—
615C22⋊C4—23no—
616C22⋊C4—63no—
617C22⋊C4—61no—
618C22⋊C4—63no—
619C22⋊C4—63no—
620C22⋊C4—66no—
621C22⋊C4—63no—
622C42—23no—
623C42—63no—
624C22×C3—23no—
625C22×C3—21no—
626C22×C3—21no—
627C22×C3—23no—
628C22×C3—23no—
629C22×C3—23no—
630C22×C3—23no—
631C22×C3—412no—
632C22×C3—43no—
633C22×C3—43no—
634C22×C3—43no—
635C22×C3—166no—
636C22×C3C2×#12116yes—
637C22×C3#57612yescomplemented
638C22×C3C23×D411yescharacteristic
639C2×D3—43no—
640C2×D3—43no—
641C2×D3—43no—
642C2×D3—166no—
643C3×C4—21no—
644C3×C4—23no—
645C3×C4—41no—
646C3×C4—41no—
647C3×C4—43no—
648C3×C4C2×#12116yes—
649C3×C4C23×D411yescharacteristic
650C3×C4C22×#4111yescharacteristic
651Dic3—41no—
652Dic3—41no—
653Dic3—43no—
654C23—26no—
655C23—26no—
656C23—23no—
657C23—43no—
658C23—46no—
659C23—63no—
660C23—83no—
661C23—83no—
662C23—126no—
663C23—243no—
664C23—243no—
665C23C22×#6713yes—
666C23C22×#6713yes—
667C23C22×#6711yescharacteristic
668Q8—26no—
669Q8—21no—
670Q8—21no—
671Q8—61no—
672Q8—61no—
673Q8#93914yes—
674D4—212no—
675D4—23no—
676D4—23no—
677D4—26no—
678D4—46no—
679D4—46no—
680D4—46no—
681D4—63no—
682D4—63no—
683D4—86no—
684D4—83no—
685D4—126no—
686D4—126no—
687D4—126no—
688D4—246no—
689D4—243no—
690D4#939112yes—
691C2×C4—26no—
692C2×C4—21no—
693C2×C4—23no—
694C2×C4—21no—
695C2×C4—23no—
696C2×C4—26no—
697C2×C4—26no—
698C2×C4—21no—
699C2×C4—23no—
700C2×C4—21no—
701C2×C4—46no—
702C2×C4—61no—
703C2×C4—63no—
704C2×C4—61no—
705C2×C4—83no—
706C2×C4—126no—
707C2×C4—243no—
708C2×C4C2×D3×D416yes—
709C2×C4C2×#23716yes—
710C2×C4C22×#6711yescharacteristic
711C2×C4C22×#6713yes—
712C2×C4C22×#6713yes—
713C2×C4C24×D311yescharacteristic
714C8—32no—
715C8—36no—
716C8—61no—
717C8—63no—
718C2×C3—26no—
719C2×C3—22no—
720C2×C3—43no—
721C2×C3—83no—
722C2×C3C22×#12111yescharacteristic
723C2×C3C2×#57611yescharacteristic
724C2×C3#358411yescharacteristic
725D3—83no—
726C22—21no—
727C22—23no—
728C22—21no—
729C22—23no—
730C22—23no—
731C22—23no—
732C22—23no—
733C22—412no—
734C22—43no—
735C22—43no—
736C22—43no—
737C22—123no—
738C22—123no—
739C22—123no—
740C22—166no—
741C22—486no—
742C22C2×#93916yes—
743C22#583512yescomplemented
744C22C23×#6711yescharacteristic
745C4—21no—
746C4—23no—
747C4—41no—
748C4—41no—
749C4—43no—
750C4—121no—
751C4—121no—
752C4—123no—
753C4C2×#93916yes—
754C4C22×D3×D411yescharacteristic
755C4C22×#23711yescharacteristic
756C3#6045811yescharacteristic, complemented, Sylow
757C2—22no—
758C2—26no—
759C2—43no—
760C2—83no—
761C2—243no—
762C2C22×#93911yescharacteristic
763C2C2×#583511yescharacteristic
764C2#8729711yescharacteristic
subgroupG/H
centerC22C23×#67
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3488C2
socleC22×C3C23×D4
hypercenter#3488D3
hypocenterC3#60458
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×#5835C2semidirect
3. #87275C2semidirect
4. C22×#948C2semidirect
5. #84099C2semidirect
6. #83422C2semidirect
7. #83421C2semidirect
8. #83379C2semidirect
9. #83378C2semidirect
10. #82924C2semidirect
11. #82922C2semidirect
12. #82621C2semidirect
13. C2×#5038C2semidirect
14. #82563C2semidirect
15. #82562C2semidirect
24. C3×#537C22semidirect
25. C3×#535C22semidirect
26. C3×#525C22semidirect
27. C2×C3×#121C22semidirect
31. #5833C22semidirect
32. #5830C22semidirect
35. C2×#950C22semidirect
36. C2×#949C22semidirect
40. C2×#948C22semidirect
41. C2×#948C22semidirect
44. C2×#932C22semidirect
45. C22×#213C22semidirect
46. #5791C22semidirect
47. C2×#930C22semidirect
48. C22×#208C22semidirect
49. C23×C3⋊C8C22semidirect
50. #5233C22semidirect
51. #5232C22semidirect
52. #5215C22semidirect
53. C2×#832C22semidirect
54. #5051C22semidirect
55. #5051C22semidirect
56. #5049C22semidirect
57. #5048C22semidirect
58. #5048C22semidirect
59. #5042C22semidirect
60. #5041C22semidirect
61. #5041C22semidirect
62. #5039C22semidirect
63. #5039C22semidirect
64. #5038C22semidirect
65. #5038C22semidirect
66. #5038C22semidirect
67. #5038C22semidirect
68. #5038C22semidirect
69. #5002C22semidirect
70. #5001C22semidirect
71. #4998C22semidirect
72. #4995C22semidirect
73. #4966C22semidirect
74. C2×#809C22semidirect
75. #4964C22semidirect
76. C2×#807C22semidirect
80. #3488D3semidirect
143. #948D4semidirect
222. #537C2×D3semidirect
224. #535C2×D3semidirect
226. #525C2×D3semidirect
228. C2×#121C2×D3semidirect
345. #208C2×D4semidirect
351. C2×C3⋊C8C2×D4semidirect
637. C22×C3#576semidirect
743. C22#5835semidirect
756. C3#60458semidirect

Maximal subgroups

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

subgroupindex
C3×#34882
C2×#58352
#872752
C22×#9482
#840992
#834222
#834212
#833792
#833782
#829242
#829222
#826212
C2×#50382
#825632
#825622
#604583