Finite Group Databasebeta

← #11662493

Subgroups — #11662493

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
1C22×C3×#131C211yesmaximal, characteristic, complemented
2#87275C211yesmaximal, characteristic, complemented
3#87264C211yesmaximal, characteristic, complemented
4C2×#5751C211yesmaximal, characteristic, complemented
5#83808C213yesmaximal, complemented
6#83806C211yesmaximal, characteristic, complemented
7#83802C213yesmaximal, complemented
8#83800C213yesmaximal, complemented
9#83798C213yesmaximal, complemented
10#83797C211yesmaximal, characteristic, complemented
11#83784C211yesmaximal, characteristic, complemented
12#83776C213yesmaximal, complemented
13#83772C213yesmaximal, complemented
14#83742C213yesmaximal, complemented
15C2×#5114C213yesmaximal, complemented
16#60457—31nomaximal, Sylow
17C22×C3×#41C2211yescharacteristic
18C2×#1010C2211yescharacteristic
19C2×#1009C2211yescharacteristic
20C2×C3×#131—28no—
21C2×C3×#131C2211yescharacteristic
22C2×C3×#131C2211yescharacteristic
23C2×C3×#131C2213yescomplemented
24C2×C3×#131C2213yescomplemented
25C22×C3×M16C2213yescomplemented
26C23×C3×C8C2213yescomplemented
27#5834—21no—
28#5833C2213yes—
29#5833C2213yescomplemented
30#5831—21no—
31#5830C2213yes—
32#5829—23no—
33#5827C2211yescharacteristic
34#5827C2211yescharacteristic
35#5825C2213yescomplemented
36#5824—23no—
37#5817—21no—
38Q8×#67—21no—
39#5806—23no—
40D4×#67—23no—
41#5791C2213yes—
42#5791C2213yescomplemented
43C2×#930C2213yes—
44C2×#924C2213yescomplemented
45#5751—28no—
46C2×#909C2213yescomplemented
47C2×#908C2213yescomplemented
48C2×#904C2213yescomplemented
49C22×#204C2213yescomplemented
50#5137C2216yescomplemented
51#5135C2216yescomplemented
52#5134C2216yescomplemented
53#5134C2216yescomplemented
54#5133C2213yescomplemented
55#5133C2213yescomplemented
56#5131C2213yescomplemented
57#5121C2213yescomplemented
58#5121C2213yescomplemented
59#5120C2213yescomplemented
60#5116C2213yescomplemented
61#5116C2213yescomplemented
62#5115C2213yescomplemented
63#5115C2213yescomplemented
64#5114C2213yescomplemented
65#5114C2216yescomplemented
66#5114C2216yescomplemented
67#5114C2216yescomplemented
68#5114C2211yescharacteristic, complemented
69#5114C2213yescomplemented
70#5114C2213yescomplemented
71#5113C2213yescomplemented
72#5113C2213yescomplemented
73C2×#821C2213yescomplemented
74#5106C2213yescomplemented
75C2×#817C2213yescomplemented
76C2×#816C2213yescomplemented
77C2×#577—31no—
78C22×#131D311yescharacteristic, complemented
79#3489—31no—
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—
92C2×C3×#41—24no—
93C2×C3×#41—24no—
94C2×C3×#41D413yes—
95C2×C3×#41D411yescharacteristic
96C2×C3×#41C2313yes—
97C2×C3×#41C2311yescharacteristic
98C22×C3×Q8D411yescharacteristic
99C22×C3×D4D413yes—
100C23×C3×C4C2313yes—
101C22×#67—23no—
102#1010—24no—
103#1010—24no—
104#1009—24no—
105#1009—24no—
106C2×#239—21no—
107C2×D3×Q8—21no—
108C2×#237—23no—
109C2×D3×D4—23no—
110C2×#235C2313yes—
111C2×#235C2313yes—
112C22×D12C2313yes—
113C22×Dic6C2313yes—
114C3×#131—24no—
115C3×#131—212no—
116C3×#131—212no—
117C3×#131D418yescomplemented
118C2×C3×M16—212no—
119C2×C3×M16C2313yes—
120C2×C3×M16C2316yes—
121C2×C3×M16C2313yes—
122C22×C3×C8—212no—
123C22×C3×C8C2311yescharacteristic
124C22×C3×C8C2313yes—
125C22×C3×C8C2313yes—
126C22×C3×C8C2313yes—
127C22×C3×C8C2313yes—
128C22×C3×C8C2313yes—
129#953—23no—
130#953—23no—
131C2×#217—23no—
132#947—23no—
133#946—23no—
134#946—23no—
135Q8×Dic3—21no—
136Q8×Dic3—21no—
137#944—23no—
138#940—23no—
139#939—26no—
140#939—26no—
141#938—23no—
142#938—23no—
143#937—26no—
144#936—23no—
145#935—26no—
146D4×Dic3—23no—
147D4×Dic3—23no—
148#930—23no—
149#930—23no—
150#930C2313yes—
151#930C2316yes—
152#930C2313yes—
153#930C2313yes—
154#930C2311yescharacteristic
155#929—23no—
156#929—23no—
157C4×#67—23no—
158C4×#67—23no—
159C4×#67—23no—
160C4×#67—23no—
161C2×(C2×D3)⋊C4—23no—
162#926C2313yes—
163#926C2313yes—
164C2×C4⋊Dic3C2313yes—
165C2×C4⋊Dic3C2313yes—
166#924—23no—
167#924—23no—
168#924C2313yes—
169#924C2316yes—
170#924C2313yes—
171#924C2313yes—
172#924C2311yescharacteristic
173C2×Dic3⋊C4—23no—
174#909—212no—
175#908—212no—
176C2×Dic12C2313yes—
177#904—212no—
178C2×D24C2313yes—
179C2×#204—212no—
180C2×#204C2316yes—
181C2×#204C2313yes—
182C2×#204C2311yescharacteristic
183#821C2313yes—
184#821C2316yes—
185#821C2313yes—
186#821C2313yes—
187#821C2311yescharacteristic
188#818C2313yes—
189#818C2313yes—
190#817C2316yes—
191#817C2313yes—
192#817C2311yescharacteristic
193#816C2313yes—
194#816C2316yes—
195#816C2313yes—
196#816C2313yes—
197#816C2311yescharacteristic
198C2×2−1+4—31no—
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—28no—
207C2×#131C2×D311yescharacteristic
208C2×#131C2×D311yescharacteristic
209C2×#131C2×D313yescomplemented
210C2×#131C2×D313yescomplemented
211C22×M16C2×D313yescomplemented
212C23×C8C2×D313yescomplemented
213#550—61no—
214D4×Q8—61no—
215#548—61no—
216#548—61no—
217#547—63no—
218#546—63no—
219#546—63no—
220D42—63no—
221#537—33no—
222#537—33no—
223#536—33no—
224#535—33no—
225#525—33no—
226#525—33no—
227C2×C22⋊Q8—33no—
228C2×#121—33no—
229#520—31no—
230#520—31no—
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—31no—
244#465—33no—
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×#41C2×D414yes—
265C3×#41#4114yes—
266C2×C3×Q8—24no—
267C2×C3×Q8C2×D413yes—
268C2×C3×Q8C2×D411yescharacteristic
269C2×C3×D4—212no—
270C2×C3×D4C2×D416yes—
271C2×C3×D4C2×D413yes—
272C2×C3×D4C2×D413yes—
273C22×C3×C4—26no—
274C22×C3×C4—26no—
275C22×C3×C4C2×D413yes—
276C22×C3×C4C2×D413yes—
277C22×C3×C4C2×D413yes—
278C22×C3×C4C2411yescharacteristic
279C22×C3×C4C2413yes—
280C22×C3×C4C2413yes—
281C2×#67—21no—
282C2×#67—23no—
283C2×#67—23no—
284C2×#67—23no—
285C2×#67—23no—
286C2×#67—23no—
287C2×#67—26no—
288C2×#67—86no—
289C22×Dic3—23no—
290C22×Dic3—23no—
291C22×Dic3—23no—
292#239—44no—
293D3×Q8—44no—
294#237—412no—
295D3×D4—412no—
296#235—26no—
297#235—26no—
298#235—26no—
299#235—26no—
300C2×D12—26no—
301C2×D12—26no—
302C2×D12—23no—
303C2×D12C2413yes—
304C2×D12C2411yescharacteristic
305C2×C4×D3—23no—
306C2×C4×D3—23no—
307C2×Dic6—26no—
308C2×Dic6—26no—
309C2×Dic6—23no—
310C2×Dic6C2413yes—
311C2×Dic6C2411yescharacteristic
312C3×M16—26no—
313C3×M16—212no—
314C3×M16C2×D4112yescomplemented
315C2×C3×C8—26no—
316C2×C3×C8—22no—
317C2×C3×C8—26no—
318C2×C3×C8—26no—
319C2×C3×C8—26no—
320C2×C3×C8C2×D4112yescomplemented
321C2×C3×C8C2411yescharacteristic
322C2×C3×C8C2413yes—
323C2×C3×C8C2411yescharacteristic
324C2×C3×C8C2413yes—
325#217—23no—
326#217—26no—
327#217—21no—
328#217—23no—
329#217—23no—
330#217—23no—
331#217—23no—
332(C2×D3)⋊C4—23no—
333(C2×D3)⋊C4—26no—
334(C2×D3)⋊C4—21no—
335(C2×D3)⋊C4—23no—
336(C2×D3)⋊C4—23no—
337C4⋊Dic3—23no—
338C4⋊Dic3—23no—
339C4⋊Dic3C2413yes—
340C4⋊Dic3C2411yescharacteristic
341C4⋊Dic3C2413yes—
342C4⋊Dic3C2411yescharacteristic
343Dic3⋊C4—23no—
344Dic3⋊C4—26no—
345Dic3⋊C4—21no—
346Dic3⋊C4—23no—
347Dic3⋊C4—23no—
348C4×Dic3—23no—
349C4×Dic3—23no—
350Dic12—26no—
351D24—26no—
352#204—26no—
353#204—212no—
354#204—22no—
3552−1+4—64no—
3562−1+4—64no—
357H(5,𝔽2)—64no—
358H(5,𝔽2)—64no—
359C2×#41—24no—
360C2×#41—24no—
361C2×#41—33no—
362C2×#41—33no—
363C2×#41—61no—
364C2×#41—63no—
365C2×#41D1213yes—
366C2×#41D1211yescharacteristic
367C2×#41C22×D313yes—
368C2×#41C22×D311yescharacteristic
369C22×Q8—33no—
370C22×Q8—61no—
371C22×Q8D1211yescharacteristic
372C22×D4—33no—
373C22×D4—63no—
374C22×D4—63no—
375C22×D4D1213yes—
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—24no—
387#131—212no—
388#131—212no—
389#131#6718yescomplemented
390C2×M16—212no—
391C2×M16C22×D313yes—
392C2×M16C22×D316yes—
393C2×M16C22×D313yes—
394C22×C8—212no—
395C22×C8C22×D311yescharacteristic
396C22×C8C22×D313yes—
397C22×C8C22×D313yes—
398C22×C8C22×D313yes—
399C22×C8C22×D313yes—
400C22×C8C22×D313yes—
401C4⋊Q8—63no—
402#127—63no—
403#124—63no—
404#124—63no—
405#123—66no—
406#123—63no—
407#123—63no—
408C22⋊Q8—33no—
409C22⋊Q8—36no—
410C22⋊Q8—31no—
411C22⋊Q8—33no—
412C22⋊Q8—33no—
413C22⋊Q8—63no—
414C22⋊Q8—63no—
415C22⋊Q8—63no—
416C22⋊Q8—63no—
417#121—33no—
418#121—36no—
419#121—31no—
420#121—33no—
421#121—33no—
422#121—66no—
423#121—63no—
424#121—66no—
425#121—63no—
426#121—63no—
427#121—63no—
428#120—63no—
429#120—63no—
430#120—66no—
431C4×Q8—61no—
432C4×Q8—61no—
433C4×D4—63no—
434C4×D4—63no—
435C4×D4—63no—
436C4×D4—63no—
437C4×D4—63no—
438C4×D4—63no—
439#117—33no—
440#117—33no—
441C2×C4⋊C4—33no—
442C2×C4⋊C4—33no—
443C2×C4⋊C4—63no—
444C2×C22⋊C4—63no—
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—31no—
454#103—33no—
455#103—33no—
456#102—33no—
457#102—36no—
458#102—31no—
459#102—33no—
460#102—33no—
461C23×C3—26no—
462C23×C3—26no—
463C23×C3—43no—
464C23×C3C22×D413yes—
465C23×C3C22×D413yes—
466C23×C3C22×D411yescharacteristic
467C22×D3—21no—
468C22×D3—23no—
469C22×D3—46no—
470C22×D3—83no—
471C22×D3—83no—
472C3×Q8—26no—
473C3×Q8#12114yes—
474C3×D4—212no—
475C3×D4—26no—
476C3×D4#121112yes—
477C2×C3×C4—26no—
478C2×C3×C4—26no—
479C2×C3×C4—26no—
480C2×C3×C4—21no—
481C2×C3×C4—23no—
482C2×C3×C4—21no—
483C2×C3×C4—23no—
484C2×C3×C4C22×D411yescharacteristic
485C2×C3×C4C22×D413yes—
486C2×C3×C4C22×D413yes—
487C2×C3×C4C22×D416yes—
488C2×C3×C4C2×#4116yes—
489C2×C3×C4C2511yescharacteristic
490#67—46no—
491#67—46no—
492#67—42no—
493#67—46no—
494#67—83no—
495#67—83no—
496#67—86no—
497C2×Dic3—21no—
498C2×Dic3—21no—
499C2×Dic3—23no—
500C2×Dic3—23no—
501C2×Dic3—23no—
502C2×Dic3—21no—
503C2×Dic3—46no—
504C2×Dic3—83no—
505C2×Dic3—83no—
506D12—23no—
507D12—21no—
508D12—23no—
509D12—21no—
510D12—46no—
511C4×D3—46no—
512C4×D3—46no—
513Dic6—23no—
514Dic6—21no—
515Dic6—23no—
516Dic6—21no—
517Dic6—46no—
518C3×C8—21no—
519C3×C8—23no—
520C3×C8C22×D412yes—
521C3×C8C22×D416yes—
522C24—63no—
523C24C2×D1213yes—
524#41—24no—
525#41—212no—
526#41—26no—
527#41—26no—
528#41—66no—
529#41—66no—
530#41—66no—
531#41—66no—
532#41—124no—
533#41—1212no—
534#41#23514yes—
535#41C2×#6714yes—
536C2×Q8—24no—
537C2×Q8—33no—
538C2×Q8—31no—
539C2×Q8—63no—
540C2×Q8—66no—
541C2×Q8—66no—
542C2×Q8—124no—
543C2×Q8C2×D1213yes—
544C2×Q8C2×D1211yescharacteristic
545C2×D4—212no—
546C2×D4—31no—
547C2×D4—33no—
548C2×D4—61no—
549C2×D4—63no—
550C2×D4—63no—
551C2×D4—63no—
552C2×D4—63no—
553C2×D4—63no—
554C2×D4—66no—
555C2×D4—63no—
556C2×D4—66no—
557C2×D4—66no—
558C2×D4—1212no—
559C2×D4—246no—
560C2×D4C2×D1216yes—
561C2×D4C2×D1213yes—
562C2×D4C2×D1213yes—
563C22×C4—26no—
564C22×C4—26no—
565C22×C4—63no—
566C22×C4—63no—
567C22×C4—63no—
568C22×C4—63no—
569C22×C4—63no—
570C22×C4C2×D1213yes—
571C22×C4C2×D1213yes—
572C22×C4C2×D1213yes—
573C22×C4C23×D311yescharacteristic
574C22×C4C23×D313yes—
575C22×C4C23×D313yes—
576Q16—66no—
577SD16—66no—
578SD16—612no—
579SD16—62no—
580D8—66no—
581M16—26no—
582M16—212no—
583M16C2×#67112yescomplemented
584C2×C8—26no—
585C2×C8—22no—
586C2×C8—26no—
587C2×C8—26no—
588C2×C8—26no—
589C2×C8C2×#67112yescomplemented
590C2×C8C23×D311yescharacteristic
591C2×C8C23×D313yes—
592C2×C8C23×D311yescharacteristic
593C2×C8C23×D313yes—
594C4⋊C4—33no—
595C4⋊C4—31no—
596C4⋊C4—33no—
597C4⋊C4—31no—
598C4⋊C4—63no—
599C4⋊C4—63no—
600C4⋊C4—63no—
601C4⋊C4—66no—
602C4⋊C4—61no—
603C4⋊C4—63no—
604C4⋊C4—63no—
605C22⋊C4—63no—
606C22⋊C4—66no—
607C22⋊C4—63no—
608C22⋊C4—63no—
609C22⋊C4—61no—
610C22⋊C4—63no—
611C22⋊C4—63no—
612C22⋊C4—63no—
613C22⋊C4—66no—
614C22⋊C4—61no—
615C22⋊C4—63no—
616C22⋊C4—63no—
617C42—63no—
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×C3C2×#12116yes—
628C22×C3#57712yescomplemented
629C22×C3C23×D411yescharacteristic
630C2×D3—41no—
631C2×D3—43no—
632C2×D3—41no—
633C2×D3—43no—
634C2×D3—43no—
635C2×D3—41no—
636C2×D3—166no—
637C3×C4—21no—
638C3×C4—23no—
639C3×C4C2×#12116yes—
640C3×C4C23×D411yescharacteristic
641C3×C4C22×#4111yescharacteristic
642Dic3—43no—
643Dic3—41no—
644Dic3—43no—
645Dic3—41no—
646Dic3—43no—
647Dic3—41no—
648C23—26no—
649C23—26no—
650C23—43no—
651C23—61no—
652C23—63no—
653C23—126no—
654C23—243no—
655C23—243no—
656C23C22×D1213yes—
657C23C22×D1211yescharacteristic
658C23C22×D1213yes—
659Q8—26no—
660Q8—63no—
661Q8—61no—
662Q8—63no—
663Q8—61no—
664Q8—126no—
665Q8#93014yes—
666D4—212no—
667D4—26no—
668D4—63no—
669D4—61no—
670D4—61no—
671D4—63no—
672D4—126no—
673D4—122no—
674D4—126no—
675D4—126no—
676D4—126no—
677D4—246no—
678D4—243no—
679D4—243no—
680D4#930112yes—
681C2×C4—26no—
682C2×C4—21no—
683C2×C4—23no—
684C2×C4—21no—
685C2×C4—23no—
686C2×C4—26no—
687C2×C4—26no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—63no—
691C2×C4—63no—
692C2×C4—61no—
693C2×C4—63no—
694C2×C4—126no—
695C2×C4—126no—
696C2×C4—126no—
697C2×C4—243no—
698C2×C4—243no—
699C2×C4C22×D1211yescharacteristic
700C2×C4C22×D1213yes—
701C2×C4C22×D1213yes—
702C2×C4C2×#23516yes—
703C2×C4C22×#6716yes—
704C2×C4C24×D311yescharacteristic
705C8—21no—
706C8—23no—
707C8C22×#6712yes—
708C8C22×#6716yes—
709C2×C3—26no—
710C2×C3—22no—
711C2×C3—43no—
712C2×C3C22×#12111yescharacteristic
713C2×C3C2×#57711yescharacteristic
714C2×C3#358411yescharacteristic
715D3—81no—
716D3—83no—
717C22—23no—
718C22—23no—
719C22—21no—
720C22—21no—
721C22—23no—
722C22—23no—
723C22—23no—
724C22—412no—
725C22—123no—
726C22—121no—
727C22—121no—
728C22—123no—
729C22—121no—
730C22—123no—
731C22—486no—
732C22#575112yescomplemented
733C22C2×#93016yes—
734C22C23×D1211yescharacteristic
735C4—21no—
736C4—23no—
737C4—123no—
738C4—121no—
739C4—123no—
740C4—121no—
741C4—121no—
742C4—123no—
743C4C2×#93016yes—
744C4C22×#23511yescharacteristic
745C4C23×#6711yescharacteristic
746C3#6045711yescharacteristic, complemented, Sylow
747C2—22no—
748C2—26no—
749C2—43no—
750C2—243no—
751C2—241no—
752C2C2×#575111yescharacteristic
753C2#8716311yescharacteristic
754C2C22×#93011yescharacteristic
subgroupG/H
centerC22C23×D12
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC22×C3×#131C2
socleC22×C3C23×D4
hypercenterC22×#131D3
hypocenterC3#60457
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C22×#41 ◁ C22×#131

Complements

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

NH ≅ G/Ntype
1. C22×C3×#131C2semidirect
2. #87275C2semidirect
3. #87264C2semidirect
4. C2×#5751C2semidirect
5. #83808C2semidirect
6. #83806C2semidirect
7. #83802C2semidirect
8. #83800C2semidirect
9. #83798C2semidirect
10. #83797C2semidirect
11. #83784C2semidirect
12. #83776C2semidirect
13. #83772C2semidirect
14. #83742C2semidirect
15. C2×#5114C2semidirect
23. C2×C3×#131C22semidirect
24. C2×C3×#131C22semidirect
25. C22×C3×M16C22semidirect
26. C23×C3×C8C22semidirect
29. #5833C22semidirect
35. #5825C22semidirect
42. #5791C22semidirect
44. C2×#924C22semidirect
46. C2×#909C22semidirect
47. C2×#908C22semidirect
48. C2×#904C22semidirect
49. C22×#204C22semidirect
50. #5137C22semidirect
51. #5135C22semidirect
52. #5134C22semidirect
53. #5134C22semidirect
54. #5133C22semidirect
55. #5133C22semidirect
56. #5131C22semidirect
57. #5121C22semidirect
58. #5121C22semidirect
59. #5120C22semidirect
60. #5116C22semidirect
61. #5116C22semidirect
62. #5115C22semidirect
63. #5115C22semidirect
64. #5114C22semidirect
65. #5114C22semidirect
66. #5114C22semidirect
67. #5114C22semidirect
68. #5114C22semidirect
69. #5114C22semidirect
70. #5114C22semidirect
71. #5113C22semidirect
72. #5113C22semidirect
73. C2×#821C22semidirect
74. #5106C22semidirect
75. C2×#817C22semidirect
76. C2×#816C22semidirect
78. C22×#131D3semidirect
117. C3×#131D4semidirect
209. C2×#131C2×D3semidirect
210. C2×#131C2×D3semidirect
211. C22×M16C2×D3semidirect
212. C23×C8C2×D3semidirect
314. C3×M16C2×D4semidirect
320. C2×C3×C8C2×D4semidirect
389. #131#67semidirect
583. M16C2×#67semidirect
589. C2×C8C2×#67semidirect
628. C22×C3#577semidirect
732. C22#5751semidirect
746. C3#60457semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#1312
#872752
#872642
C2×#57512
#838082
#838062
#838022
#838002
#837982
#837972
#837842
#837762
#837722
#837422
C2×#51142
#604573