Finite Group Databasebeta

← #10772481

Subgroups — #10772481

Order 768.

956 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86285C211yesmaximal, characteristic, complemented
2C3×#3131C211yesmaximal, characteristic, complemented
3#83311C211yesmaximal, characteristic, complemented
4#83300C211yesmaximal, characteristic, complemented
5#71831C211yesmaximal, characteristic, complemented
6#71237C211yesmaximal, characteristic, complemented
7#71229C211yesmaximal, characteristic, complemented
8#71228C211yesmaximal, characteristic, complemented
9#71228C211yesmaximal, characteristic, complemented
10#71205C211yesmaximal, characteristic, complemented
11#71197C211yesmaximal, characteristic, complemented
12#71196C211yesmaximal, characteristic, complemented
13#71196C211yesmaximal, characteristic, complemented
14#69736C211yesmaximal, characteristic, complemented
15C2×#4459C211yesmaximal, characteristic, complemented
16#18638—31nomaximal, Sylow
17C3×#533C2211yescharacteristic
18C3×#532C2211yescharacteristic
19#5732C2211yescharacteristic
20#5727C2211yescharacteristic
21#5726C2211yescharacteristic
22#5726C2211yescharacteristic
23#5692—22no—
24#5635—21no—
25#5630—21no—
26#5627—21no—
27D3×C22⋊Q8—21no—
28#5582—21no—
29#5581—21no—
30#5576—21no—
31#5574—21no—
32#5527—22no—
33#5479C2211yescharacteristic
34C2×C4×D12C2211yescharacteristic
35C3×#488—22no—
36C3×#487C2211yescharacteristic, complemented
37C3×#487C2211yescharacteristic, complemented
38C3×#486C2211yescharacteristic, complemented
39C3×#486C2211yescharacteristic, complemented
40C3×#416—22no—
41C2×C3×C4×C8C2211yescharacteristic
42#5091C2211yescharacteristic, complemented
43#5084C2211yescharacteristic
44#5084C2211yescharacteristic
45#5084C2211yescharacteristic, complemented
46#5075C2211yescharacteristic, complemented
47#5072C2211yescharacteristic
48#5072C2211yescharacteristic
49#5072C2211yescharacteristic, complemented
50#5041—21no—
51#5038—21no—
52#5036—21no—
53#5034—21no—
54#5016—21no—
55#5014—21no—
56#5014—21no—
57#5009—21no—
58#4926C2211yescharacteristic
59C2×C4⋊(C3⋊C8)C2211yescharacteristic
60#4547C2211yescharacteristic, complemented
61#4547C2211yescharacteristic, complemented
62#4547C2211yescharacteristic, complemented
63#4547C2211yescharacteristic, complemented
64#4459C2211yescharacteristic
65#4459C2211yescharacteristic
66#4459C2211yescharacteristic
67#4459C2211yescharacteristic
68#4459C2211yescharacteristic, complemented
69#4459C2211yescharacteristic, complemented
70#4456C2211yescharacteristic, complemented
71#4456C2211yescharacteristic, complemented
72#3520—31no—
73#3247—31no—
74#3131D311yescharacteristic, complemented
75#3109—31no—
76#1638—31no—
77#1637—31no—
78#1635—31no—
79#1635—31no—
80#1628—31no—
81#1627—31no—
82#1625—31no—
83#1625—31no—
84#1552—31no—
85#1494—31no—
86C2×D4⋊C8—31no—
87C2×C3×#41—21no—
88C2×#239—21no—
89C2×#239—21no—
90C2×D3×Q8—21no—
91C22×D12D411yescharacteristic
92C22×C4×D3—21no—
93C22×C3×C8—21no—
94C3×C4⋊Q8C2311yescharacteristic
95C3×C4⋊Q8C2311yescharacteristic
96C3×C4⋊Q8C2311yescharacteristic
97C3×#127C2311yescharacteristic
98C3×#125D412yes—
99C3×#124—21no—
100C3×C22⋊Q8—21no—
101C3×C22⋊Q8—21no—
102C3×#121—21no—
103C3×#121—21no—
104C3×C4×Q8—21no—
105C3×C4×Q8—21no—
106C3×C4×D4—21no—
107C3×C4×D4—21no—
108C3×#117D412yes—
109C2×C3×C42C2311yescharacteristic
110#947—21no—
111#946—21no—
112#946—21no—
113#946—21no—
114Q8×Dic3—21no—
115C2×#214—21no—
116C2×#213—21no—
117C2×#213—21no—
118C2×#213—21no—
119#930D411yescharacteristic
120#929—21no—
121C4×#67—21no—
122C2×(C2×D3)⋊C4—21no—
123C2×C4⋊Dic3D411yescharacteristic
124#924D411yescharacteristic
125C22×C3⋊C8—21no—
126#898—22no—
127#897—22no—
128#897—21no—
129#896—22no—
130#896—22no—
131#895—22no—
132#895—21no—
133#895—21no—
134#894—22no—
135#894—22no—
136#894—22no—
137#894—22no—
138#893—22no—
139#893—21no—
140#892—21no—
141D3×C4⋊C4—22no—
142D3×C4⋊C4—21no—
143D3×C4⋊C4—21no—
144#889—22no—
145#888—21no—
146#882—22no—
147#67⋊C4—22no—
148D3×C22⋊C4—22no—
149#878—22no—
150#876—22no—
151#876—21no—
152#875—22no—
153#875D411yescharacteristic
154C4×D12—22no—
155C4×D12—21no—
156C4×D12—21no—
157C4×D12D411yescharacteristic
158C4×D12D411yescharacteristic
159C4×D12C2311yescharacteristic
160C4×D12C2311yescharacteristic
161C4×D12C2311yescharacteristic
162#872—22no—
163#872—21no—
164#870D411yescharacteristic
165C4×Dic6C2311yescharacteristic
166C3×#103—22no—
167C3×#103—22no—
168C3×#102—22no—
169C3×#102—22no—
170C3×C4×C8—21no—
171C3×C4×C8C2311yescharacteristic
172C3×C4×C8C2311yescharacteristic
173#832—21no—
174#832—21no—
175#832—21no—
176#832—21no—
177#830—21no—
178#810—21no—
179#809—21no—
180#809—21no—
181#809—21no—
182#808—21no—
183#808—21no—
184#808—21no—
185#807—21no—
186C4⋊(C3⋊C8)—21no—
187C4⋊(C3⋊C8)C2311yescharacteristic
188C4⋊(C3⋊C8)C2311yescharacteristic
189C4⋊(C3⋊C8)C2311yescharacteristic
190C4⋊(C3⋊C8)C2311yescharacteristic
191#803—21no—
192#556—31no—
193#554—61no—
194#552—61no—
195#551—62no—
196D4×Q8—31no—
197#548—61no—
198#547—31no—
199#547—31no—
200#546—61no—
201#542—61no—
202#539—62no—
203#533C2×D311yescharacteristic
204#532C2×D311yescharacteristic
205#529—31no—
206#525—61no—
207C2×C22⋊Q8—61no—
208#520—61no—
209C2×C4×D4—31no—
210#488—22no—
211#487C2×D311yescharacteristic, complemented
212#487C2×D311yescharacteristic, complemented
213#486C2×D311yescharacteristic, complemented
214#486C2×D311yescharacteristic, complemented
215#481—61no—
216#478—61no—
217#477—31no—
218#476—31no—
219#476—31no—
220#476—31no—
221#466—61no—
222#465—61no—
223#463—61no—
224#460—31no—
225#459—31no—
226#459—31no—
227#459—31no—
228#447—61no—
229#442—61no—
230#442—61no—
231#432—31no—
232C2×C4⋊C8—31no—
233#416—22no—
234C2×C4×C8C2×D311yescharacteristic
235#332—31no—
236#332—31no—
237#332—31no—
238#332—31no—
239Q8⋊C8—31no—
240Q8⋊C8—31no—
241D4⋊C8—31no—
242D4⋊C8—31no—
243D4⋊C8—31no—
244D4⋊C8—31no—
245D4⋊C8—31no—
246D4⋊C8—31no—
247C23×D3—21no—
248C3×#41—44no—
249C2×C3×Q8—21no—
250C2×C3×Q8—21no—
251C2×C3×Q8—21no—
252C2×C3×D4—21no—
253C2×C3×D4—21no—
254C2×C3×D4—21no—
255C2×C3×D4—41no—
256C22×C3×C4—41no—
257C22×C3×C4C2×D411yescharacteristic
258C22×C3×C4C2×D411yescharacteristic
259C22×C3×C4C2×D411yescharacteristic
260C2×#67—21no—
261C22×Dic3—21no—
262#239—42no—
263#239—42no—
264#239—81no—
265#239—81no—
266D3×Q8—81no—
267D3×Q8—81no—
268C2×D12—22no—
269C2×D12—22no—
270C2×D12—21no—
271C2×D12—22no—
272C2×D12—41no—
273C2×D12C2×D411yescharacteristic
274C2×D12C2×D411yescharacteristic
275C2×D12C2×D411yescharacteristic
276C2×C4×D3—22no—
277C2×C4×D3—21no—
278C2×C4×D3—21no—
279C2×C4×D3—21no—
280C2×C4×D3—22no—
281C2×C4×D3—22no—
282C2×C4×D3—21no—
283C2×C4×D3—21no—
284C2×C4×D3—81no—
285C2×C4×D3—81no—
286C2×Dic6—22no—
287C2×Dic6C2×D411yescharacteristic
288C2×C3×C8—21no—
289C2×C3×C8—21no—
290C2×C3×C8—42no—
291C3×C4⋊C4—22no—
292C3×C4⋊C4—22no—
293C3×C4⋊C4—21no—
294C3×C4⋊C4—21no—
295C3×C4⋊C4—21no—
296C3×C4⋊C4—21no—
297C3×C4⋊C4C2×D412yes—
298C3×C4⋊C4C2×D412yes—
299C3×C22⋊C4—22no—
300C3×C22⋊C4—41no—
301C3×C22⋊C4—41no—
302C3×C42—22no—
303C3×C42C2×D411yescharacteristic
304C3×C42C2×D411yescharacteristic
305C3×C42C2×D411yescharacteristic
306C3×C42C2411yescharacteristic
307#217—21no—
308#214—81no—
309#213—42no—
310#213—42no—
311#213—81no—
312(C2×D3)⋊C4—22no—
313(C2×D3)⋊C4—22no—
314(C2×D3)⋊C4—22no—
315(C2×D3)⋊C4—22no—
316(C2×D3)⋊C4—22no—
317(C2×D3)⋊C4—21no—
318(C2×D3)⋊C4—21no—
319(C2×D3)⋊C4—21no—
320(C2×D3)⋊C4—21no—
321(C2×D3)⋊C4—21no—
322(C2×D3)⋊C4—21no—
323(C2×D3)⋊C4—21no—
324(C2×D3)⋊C4—21no—
325C4⋊Dic3—22no—
326C4⋊Dic3—21no—
327C4⋊Dic3C2×D411yescharacteristic
328C4⋊Dic3C2×D411yescharacteristic
329C4⋊Dic3C2×D411yescharacteristic
330C4⋊Dic3C2×D411yescharacteristic
331Dic3⋊C4—22no—
332Dic3⋊C4—22no—
333Dic3⋊C4—22no—
334Dic3⋊C4—21no—
335Dic3⋊C4—21no—
336Dic3⋊C4—21no—
337Dic3⋊C4—21no—
338C4×Dic3—22no—
339C4×Dic3—21no—
340C2×C3⋊C8—21no—
341C2×C3⋊C8—21no—
342C2×C3⋊C8—21no—
343C2×C3⋊C8—21no—
344C2×C3⋊C8—81no—
345C2×#41—21no—
346C2×#41—61no—
347C2×#41—61no—
348C22×Q8—61no—
349C22×D4—31no—
350C23×C4—61no—
351C2×SD16—61no—
352C2×D8—61no—
353C2×D8—61no—
354C2×D8—61no—
355C22×C8—21no—
356C22×C8—61no—
357C4⋊Q8—61no—
358C4⋊Q8C22×D311yescharacteristic
359C4⋊Q8C22×D311yescharacteristic
360C4⋊Q8C22×D311yescharacteristic
361#127C22×D311yescharacteristic
362#126—62no—
363#126—62no—
364#126—61no—
365#125—31no—
366#125—62no—
367#125#6712yes—
368#124—21no—
369#124—31no—
370#124—62no—
371#124—61no—
372#123—62no—
373#123—62no—
374#123—61no—
375#123—62no—
376#123—62no—
377C22⋊Q8—21no—
378C22⋊Q8—21no—
379C22⋊Q8—31no—
380C22⋊Q8—62no—
381C22⋊Q8—61no—
382C22⋊Q8—62no—
383C22⋊Q8—62no—
384C22⋊Q8—61no—
385C22⋊Q8—61no—
386C22⋊Q8—61no—
387C22⋊Q8—62no—
388#121—21no—
389#121—21no—
390#121—31no—
391#121—61no—
392#121—61no—
393#121—62no—
394#120—62no—
395C4×Q8—21no—
396C4×Q8—21no—
397C4×Q8—31no—
398C4×Q8—61no—
399C4×D4—21no—
400C4×D4—21no—
401C4×D4—31no—
402C4×D4—31no—
403C4×D4—31no—
404C4×D4—31no—
405C4×D4—31no—
406C4×D4—62no—
407C4×D4—62no—
408C4×D4—61no—
409C4×D4—62no—
410C4×D4—61no—
411C4×D4—61no—
412C4×D4—61no—
413#117—62no—
414#117—61no—
415#117—61no—
416#117#6712yes—
417C2×C4⋊C4—31no—
418C2×C4⋊C4—61no—
419C2×C4⋊C4—61no—
420C2×C4⋊C4—62no—
421C2×C22⋊C4—62no—
422C2×C22⋊C4—61no—
423C2×C42C22×D311yescharacteristic
424#107—61no—
425#106—61no—
426#106—61no—
427#106—61no—
428C4⋊C8—31no—
429C4⋊C8—31no—
430C4⋊C8—31no—
431C4⋊C8—31no—
432C4⋊C8—61no—
433#103—22no—
434#103—22no—
435#103—61no—
436#102—22no—
437#102—22no—
438#102—61no—
439#102—61no—
440#102—61no—
441#102—61no—
442#102—61no—
443#102—61no—
444#102—61no—
445C22⋊C8—61no—
446#97—61no—
447C4×C8—21no—
448C4×C8C22×D311yescharacteristic
449C4×C8C22×D311yescharacteristic
450C23×C3—41no—
451C23×C3#12011yescharacteristic
452C22×D3—21no—
453C22×D3—21no—
454C22×D3—21no—
455C22×D3—42no—
456C22×D3—42no—
457C22×D3—81no—
458C3×Q8—42no—
459C3×Q8—41no—
460C3×Q8—41no—
461C3×Q8—41no—
462C3×Q8—41no—
463C3×D4—42no—
464C3×D4—41no—
465C3×D4—41no—
466C3×D4—41no—
467C3×D4—41no—
468C3×D4—82no—
469C2×C3×C4—22no—
470C2×C3×C4—21no—
471C2×C3×C4—21no—
472C2×C3×C4—21no—
473C2×C3×C4—21no—
474C2×C3×C4—22no—
475C2×C3×C4—22no—
476C2×C3×C4—41no—
477C2×C3×C4—82no—
478C2×C3×C4#12011yescharacteristic
479C2×C3×C4#12011yescharacteristic
480C2×C3×C4#12011yescharacteristic
481C2×C3×C4C22×D411yescharacteristic
482C2×C3×C4C22×D411yescharacteristic
483C2×C3×C4C22×D411yescharacteristic
484#67—42no—
485C2×Dic3—21no—
486C2×Dic3—21no—
487C2×Dic3—21no—
488C2×Dic3—21no—
489C2×Dic3—21no—
490C2×Dic3—81no—
491D12—21no—
492D12—21no—
493D12—21no—
494D12—21no—
495D12—21no—
496D12—42no—
497D12—44no—
498D12—82no—
499D12#13512yes—
500C4×D3—44no—
501C4×D3—41no—
502C4×D3—41no—
503C4×D3—41no—
504C4×D3—41no—
505C4×D3—41no—
506C4×D3—41no—
507C4×D3—81no—
508C4×D3—81no—
509C4×D3—82no—
510C4×D3—82no—
511Dic6—21no—
512Dic6—21no—
513Dic6—82no—
514C3×C8—41no—
515C3×C8—41no—
516C3⋊C8—41no—
517C3⋊C8—41no—
518C3⋊C8—41no—
519C3⋊C8—41no—
520C24—61no—
521#41—44no—
522#41—122no—
523#41—122no—
524#41—241no—
525#41—241no—
526C2×Q8—21no—
527C2×Q8—21no—
528C2×Q8—21no—
529C2×Q8—31no—
530C2×Q8—62no—
531C2×Q8—241no—
532C2×Q8—241no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—21no—
536C2×D4—31no—
537C2×D4—31no—
538C2×D4—31no—
539C2×D4—41no—
540C2×D4—62no—
541C2×D4—62no—
542C2×D4—62no—
543C2×D4—61no—
544C2×D4—61no—
545C2×D4—121no—
546C22×C4—41no—
547C22×C4—62no—
548C22×C4—62no—
549C22×C4—62no—
550C22×C4—61no—
551C22×C4—61no—
552C22×C4—61no—
553C22×C4—61no—
554C22×C4—61no—
555C22×C4—61no—
556C22×C4—241no—
557C22×C4—241no—
558C22×C4D3×D411yescharacteristic
559C22×C4D3×D411yescharacteristic
560C22×C4C2×#6711yescharacteristic
561SD16—241no—
562D8—122no—
563D8—122no—
564D8—241no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—42no—
568C2×C8—61no—
569C2×C8—61no—
570C2×C8—61no—
571C2×C8—61no—
572C2×C8—241no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—31no—
580C4⋊C4—31no—
581C4⋊C4—31no—
582C4⋊C4—31no—
583C4⋊C4—62no—
584C4⋊C4—62no—
585C4⋊C4—62no—
586C4⋊C4—62no—
587C4⋊C4—61no—
588C4⋊C4—61no—
589C4⋊C4—61no—
590C4⋊C4—61no—
591C4⋊C4—61no—
592C4⋊C4C2×#6712yes—
593C4⋊C4C2×#6712yes—
594C22⋊C4—22no—
595C22⋊C4—41no—
596C22⋊C4—41no—
597C22⋊C4—62no—
598C22⋊C4—62no—
599C22⋊C4—62no—
600C22⋊C4—62no—
601C22⋊C4—62no—
602C22⋊C4—61no—
603C22⋊C4—61no—
604C22⋊C4—61no—
605C22⋊C4—61no—
606C22⋊C4—61no—
607C22⋊C4—61no—
608C22⋊C4—61no—
609C22⋊C4—61no—
610C22⋊C4—61no—
611C42—22no—
612C42—62no—
613C42—61no—
614C42D3×D411yescharacteristic
615C42D3×D411yescharacteristic
616C42C2×#6711yescharacteristic
617C42C23×D311yescharacteristic
618C22×C3—21no—
619C22×C3—21no—
620C22×C3—81no—
621C22×C3—81no—
622C22×C3—81no—
623C22×C3#45412yes—
624C22×C3C2×#12011yescharacteristic
625C2×D3—22no—
626C2×D3—41no—
627C2×D3—41no—
628C2×D3—41no—
629C2×D3—41no—
630C2×D3—41no—
631C2×D3—41no—
632C2×D3—41no—
633C2×D3—41no—
634C2×D3—84no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—21no—
638C3×C4—21no—
639C3×C4—42no—
640C3×C4—42no—
641C3×C4—81no—
642C3×C4C2×#13511yescharacteristic
643C3×C4#57511yescharacteristic
644C3×C4#57611yescharacteristic
645C3×C4#57711yescharacteristic
646Dic3—41no—
647Dic3—41no—
648Dic3—41no—
649Dic3—41no—
650Dic3—41no—
651C23—41no—
652C23—61no—
653C23—61no—
654C23—61no—
655C23—122no—
656C23—122no—
657C23—241no—
658C23#93711yescharacteristic
659Q8—42no—
660Q8—41no—
661Q8—41no—
662Q8—41no—
663Q8—41no—
664Q8—61no—
665Q8—61no—
666Q8—242no—
667D4—32no—
668D4—42no—
669D4—41no—
670D4—41no—
671D4—41no—
672D4—41no—
673D4—61no—
674D4—61no—
675D4—61no—
676D4—61no—
677D4—61no—
678D4—82no—
679D4—122no—
680D4—124no—
681D4—122no—
682D4—242no—
683C2×C4—22no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—41no—
691C2×C4—61no—
692C2×C4—61no—
693C2×C4—61no—
694C2×C4—61no—
695C2×C4—61no—
696C2×C4—82no—
697C2×C4—124no—
698C2×C4—121no—
699C2×C4—121no—
700C2×C4—121no—
701C2×C4—121no—
702C2×C4—121no—
703C2×C4—121no—
704C2×C4—241no—
705C2×C4—241no—
706C2×C4—242no—
707C2×C4—242no—
708C2×C4—241no—
709C2×C4#93711yescharacteristic
710C2×C4#93711yescharacteristic
711C2×C4#93711yescharacteristic
712C2×C4C2×D3×D411yescharacteristic
713C2×C4C2×D3×D411yescharacteristic
714C2×C4C22×#6711yescharacteristic
715C8—41no—
716C8—41no—
717C8—121no—
718C8—121no—
719C8—121no—
720C8—121no—
721C2×C3—22no—
722C2×C3—161no—
723C2×C3#300211yescharacteristic
724C2×C3#301211yescharacteristic
725C2×C3C2×#45411yescharacteristic
726D3—42no—
727D3—81no—
728D3—81no—
729C22—21no—
730C22—21no—
731C22—62no—
732C22—81no—
733C22—81no—
734C22—81no—
735C22—121no—
736C22—121no—
737C22—121no—
738C22—121no—
739C22—121no—
740C22—121no—
741C22—121no—
742C22—121no—
743C22—244no—
744C22#506212yes—
745C22C2×#93711yescharacteristic
746C4—21no—
747C4—21no—
748C4—21no—
749C4—21no—
750C4—42no—
751C4—42no—
752C4—81no—
753C4—121no—
754C4—121no—
755C4—121no—
756C4—121no—
757C4—121no—
758C4D3×#13511yescharacteristic
759C4#576811yescharacteristic
760C4#576911yescharacteristic
761C4#577011yescharacteristic
762C3#1863811yescharacteristic, complemented, Sylow
763C2—22no—
764C2—122no—
765C2—161no—
766C2—241no—
767C2—241no—
768C2C2×#506211yescharacteristic
769C2#8391111yescharacteristic
770C2#8391211yescharacteristic
subgroupG/H
centerC22C2×#937
commutator, cosocleC3×C42C24
FrattiniC42C23×D3
FittingC3×#3131C2
socleC22×C3C2×#120
hypercenter#3131D3
hypocenterC3#18638
LCSG ▷ C3×C42 ▷ C22×C3 ▷ C3
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3131

Complements

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

NH ≅ G/Ntype
1. #86285C2semidirect
2. C3×#3131C2semidirect
3. #83311C2semidirect
4. #83300C2semidirect
5. #71831C2semidirect
6. #71237C2semidirect
7. #71229C2semidirect
8. #71228C2semidirect
9. #71228C2semidirect
10. #71205C2semidirect
11. #71197C2semidirect
12. #71196C2semidirect
13. #71196C2semidirect
14. #69736C2semidirect
15. C2×#4459C2semidirect
36. C3×#487C22semidirect
37. C3×#487C22semidirect
38. C3×#486C22semidirect
39. C3×#486C22semidirect
42. #5091C22semidirect
45. #5084C22semidirect
46. #5075C22semidirect
49. #5072C22semidirect
60. #4547C22semidirect
61. #4547C22semidirect
62. #4547C22semidirect
63. #4547C22semidirect
68. #4459C22semidirect
69. #4459C22semidirect
70. #4456C22semidirect
71. #4456C22semidirect
74. #3131D3semidirect
211. #487C2×D3semidirect
212. #487C2×D3semidirect
213. #486C2×D3semidirect
214. #486C2×D3semidirect
762. C3#18638semidirect

Maximal subgroups

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

subgroupindex
#862852
C3×#31312
#833112
#833002
#718312
#712372
#712292
#712282
#712052
#711972
#711962
#697362
C2×#44592
#186383