Finite Group Databasebeta

← #164939

Subgroups — #164939

Order 512.

976 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
1#36386C211yesmaximal, characteristic
2#22786C211yesmaximal, characteristic, complemented
3#22785C211yesmaximal, characteristic, complemented
4#7730C211yesmaximal, characteristic, complemented
5#7727C211yesmaximal, characteristic, complemented
6#7690C211yesmaximal, characteristic, complemented
7#7687C211yesmaximal, characteristic, complemented
8#7656C211yesmaximal, characteristic, complemented
9#7656C211yesmaximal, characteristic, complemented
10#7649C211yesmaximal, characteristic, complemented
11#7612C211yesmaximal, characteristic, complemented
12#7606C211yesmaximal, characteristic, complemented
13#7578C211yesmaximal, characteristic, complemented
14#7572C211yesmaximal, characteristic, complemented
15#7567C211yesmaximal, characteristic, complemented
16C2×#552C411yescharacteristic
17C2×#546C411yescharacteristic
18#2861C2211yescharacteristic
19#2857C2211yescharacteristic
20#2850C2211yescharacteristic
21#2566C411yescharacteristic
22#2559—21no—
23#2559—21no—
24#2558—21no—
25#2558—21no—
26#2545C411yescharacteristic
27#2534—21no—
28#2534—21no—
29#2503C411yescharacteristic
30#2500C411yescharacteristic
31#2435C411yescharacteristic
32#2432C411yescharacteristic
33#2342—21no—
34#2342—21no—
35C4×#124C2211yescharacteristic
36#2297C2211yescharacteristic
37C2×#390C2211yescharacteristic
38C42×D4C2211yescharacteristic
39#1923—21no—
40#1923—21no—
41#1917—21no—
42#1916—21no—
43#1870—21no—
44#1869—21no—
45#1839C2211yescharacteristic, complemented
46#1839C2211yescharacteristic, complemented
47#1817C2211yescharacteristic
48#1817C2211yescharacteristic, complemented
49#1797C2211yescharacteristic
50#1797C2211yescharacteristic, complemented
51#1753—21no—
52C8×C22⋊C4—21no—
53#1749C2211yescharacteristic, complemented
54C4×C22⋊C8C2211yescharacteristic
55#1744C2211yescharacteristic, complemented
56#1744C2211yescharacteristic, complemented
57#1728C2211yescharacteristic
58C2×#336C2211yescharacteristic, complemented
59#1272C2211yescharacteristic, complemented
60#1272C2211yescharacteristic, complemented
61#1272C2211yescharacteristic, complemented
62#1272C2211yescharacteristic, complemented
63#1272C2211yescharacteristic, complemented
64#1272C2211yescharacteristic, complemented
65#1272C2211yescharacteristic, complemented
66#1272C2211yescharacteristic, complemented
67#1270C2211yescharacteristic
68#1270C2211yescharacteristic
69#1270C2211yescharacteristic
70#1270C2211yescharacteristic
71#1270C2211yescharacteristic
72#1270C2211yescharacteristic
73#1270C2211yescharacteristic
74#1270C2211yescharacteristic
75C22×#41C2×C411yescharacteristic
76C23×D4C2×C411yescharacteristic
77C22×M16—21no—
78C23×C8—21no—
79#552—44no—
80#546—44no—
81C2×C4⋊Q8C2×C411yescharacteristic
82C2×#126—21no—
83C2×#125—21no—
84C2×#125C2×C411yescharacteristic
85C2×#124C2×C411yescharacteristic
86C2×#124C2×C411yescharacteristic
87C2×#124C2×C411yescharacteristic
88C2×#123—21no—
89C2×#123—21no—
90C2×C22⋊Q8C2×C411yescharacteristic
91C2×C22⋊Q8C2×C411yescharacteristic
92C2×C22⋊Q8C2×C411yescharacteristic
93C2×#121—21no—
94C2×#121C2×C411yescharacteristic
95C2×#120—21no—
96C2×C4×Q8C2×C411yescharacteristic
97C2×C4×D4C2×C411yescharacteristic
98C2×C4×D4C2×C411yescharacteristic
99C2×C4×D4D411yescharacteristic
100C2×C4×D4D411yescharacteristic
101C2×#117—21no—
102C2×#117C2×C411yescharacteristic
103C22×C4⋊C4C2×C411yescharacteristic
104C22×C22⋊C4—21no—
105C22×C22⋊C4—21no—
106C22×C22⋊C4—21no—
107C22×C42C2311yescharacteristic
108C22×C42C2311yescharacteristic
109C2×C4⋊C8—21no—
110C2×C4⋊C8—21no—
111C2×C22⋊C8—21no—
112C2×C22⋊C8—21no—
113C2×C22⋊C8—21no—
114C2×C22⋊C8—21no—
115C2×C22⋊C8—21no—
116C2×C22⋊C8—21no—
117C2×#97—21no—
118C2×C4×C8—21no—
119C2×C4×C8—21no—
120C2×C4×C8—21no—
121#400—21no—
122#400—21no—
123#396—21no—
124#396—21no—
125#396—21no—
126#396—21no—
127#394—21no—
128#394—21no—
129#394—21no—
130#394—21no—
131#394—21no—
132#394—21no—
133#391C2×C411yescharacteristic
134#391C2×C411yescharacteristic
135#391C2311yescharacteristic
136#391C2311yescharacteristic
137#390—21no—
138#390—21no—
139#390C2×C411yescharacteristic
140#390C2×C411yescharacteristic
141#390C2×C411yescharacteristic
142#390C2×C411yescharacteristic
143#390C2311yescharacteristic
144#390C2311yescharacteristic
145#389—21no—
146#389—21no—
147#388—21no—
148#388—21no—
149#388—21no—
150#388—21no—
151#388—21no—
152#388—21no—
153#388—21no—
154#388—21no—
155#388—21no—
156#388—21no—
157#388—21no—
158#388—21no—
159#386—21no—
160#386—21no—
161#386—21no—
162#386—21no—
163#385—21no—
164#385—21no—
165#385—21no—
166#385—21no—
167#384C2×C411yescharacteristic
168#382C2×C411yescharacteristic
169#382C2×C411yescharacteristic
170#381—21no—
171#381—21no—
172#380—21no—
173#380—21no—
174#379—21no—
175#379—21no—
176C4×C4⋊C4C2×C411yescharacteristic
177C4×C4⋊C4D411yescharacteristic
178C4×C4⋊C4D411yescharacteristic
179C4×C22⋊C4—21no—
180C4×C22⋊C4—21no—
181C4×C22⋊C4—21no—
182C4×C22⋊C4—21no—
183C4×C22⋊C4C2×C411yescharacteristic
184C4×C22⋊C4C2×C411yescharacteristic
185C4×C22⋊C4D411yescharacteristic
186C4×C22⋊C4D411yescharacteristic
187C4×C22⋊C4D411yescharacteristic
188C4×C22⋊C4D411yescharacteristic
189C43C2311yescharacteristic
190#336—21no—
191#336—21no—
192#336—21no—
193#336—21no—
194#336—21no—
195#336—21no—
196#336—21no—
197#336—21no—
198#336—21no—
199#336—21no—
200#336C2311yescharacteristic
201#336C2311yescharacteristic
202#336C2311yescharacteristic
203#336C2311yescharacteristic
204#336C2311yescharacteristic
205#336C2311yescharacteristic
206#336C2311yescharacteristic
207#336C2311yescharacteristic
208C25—21no—
209C2×#41—22no—
210C2×#41—41no—
211C2×#41—42no—
212C2×#41—81no—
213C22×Q8C22×C411yescharacteristic
214C22×Q8C22×C411yescharacteristic
215C22×D4—22no—
216C22×D4—21no—
217C22×D4—21no—
218C22×D4—21no—
219C22×D4—41no—
220C22×D4—42no—
221C22×D4—81no—
222C22×D4C22⋊C411yescharacteristic
223C22×D4C22×C411yescharacteristic
224C22×D4C22×C411yescharacteristic
225C23×C4—21no—
226C23×C4—21no—
227C23×C4—21no—
228C23×C4C22×C411yescharacteristic
229C23×C4C22×C411yescharacteristic
230C23×C4C2×D411yescharacteristic
231C23×C4C2×D411yescharacteristic
232C23×C4C2×D411yescharacteristic
233C23×C4C2×D411yescharacteristic
234C2×M16—42no—
235C2×M16—42no—
236C2×M16—81no—
237C22×C8—21no—
238C22×C8—21no—
239C22×C8—21no—
240C22×C8—21no—
241C22×C8—21no—
242C22×C8—21no—
243C22×C8—21no—
244C22×C8—21no—
245C22×C8—42no—
246C22×C8—42no—
247C22×C8—81no—
248C4⋊Q8—81no—
249#126—44no—
250#125—42no—
251#125—44no—
252#124—22no—
253#124—41no—
254#124—42no—
255#124—81no—
256#123—44no—
257#123—44no—
258C22⋊Q8—42no—
259C22⋊Q8—42no—
260C22⋊Q8—42no—
261#121—42no—
262#121—44no—
263#120—44no—
264C4×Q8—42no—
265C4×D4—22no—
266C4×D4—22no—
267C4×D4—24no—
268C4×D4—41no—
269C4×D4—41no—
270C4×D4—42no—
271#117—44no—
272#117—42no—
273C2×C4⋊C4—21no—
274C2×C4⋊C4—21no—
275C2×C4⋊C4—21no—
276C2×C4⋊C4—21no—
277C2×C4⋊C4—21no—
278C2×C4⋊C4—21no—
279C2×C4⋊C4—21no—
280C2×C4⋊C4—21no—
281C2×C4⋊C4—21no—
282C2×C4⋊C4—21no—
283C2×C4⋊C4—21no—
284C2×C4⋊C4—42no—
285C2×C4⋊C4C22⋊C411yescharacteristic
286C2×C4⋊C4C22⋊C411yescharacteristic
287C2×C4⋊C4C22⋊C411yescharacteristic
288C2×C4⋊C4C22×C411yescharacteristic
289C2×C4⋊C4C22×C411yescharacteristic
290C2×C4⋊C4C22×C411yescharacteristic
291C2×C4⋊C4C22×C411yescharacteristic
292C2×C22⋊C4—21no—
293C2×C22⋊C4—21no—
294C2×C22⋊C4—21no—
295C2×C22⋊C4—21no—
296C2×C22⋊C4—21no—
297C2×C22⋊C4—21no—
298C2×C22⋊C4—21no—
299C2×C22⋊C4—21no—
300C2×C22⋊C4—21no—
301C2×C22⋊C4—21no—
302C2×C22⋊C4—21no—
303C2×C22⋊C4—21no—
304C2×C22⋊C4—21no—
305C2×C22⋊C4—21no—
306C2×C22⋊C4—21no—
307C2×C22⋊C4—21no—
308C2×C22⋊C4—21no—
309C2×C22⋊C4—21no—
310C2×C22⋊C4—21no—
311C2×C22⋊C4—21no—
312C2×C22⋊C4—21no—
313C2×C22⋊C4—21no—
314C2×C22⋊C4—21no—
315C2×C22⋊C4—21no—
316C2×C22⋊C4—44no—
317C2×C22⋊C4—42no—
318C2×C22⋊C4—42no—
319C2×C22⋊C4—42no—
320C2×C22⋊C4—42no—
321C2×C22⋊C4C22⋊C411yescharacteristic
322C2×C22⋊C4C22⋊C411yescharacteristic
323C2×C22⋊C4C22⋊C411yescharacteristic
324C2×C22⋊C4C22⋊C411yescharacteristic
325C2×C22⋊C4C22⋊C411yescharacteristic
326C2×C22⋊C4C22⋊C411yescharacteristic
327C2×C42—21no—
328C2×C42—21no—
329C2×C42—81no—
330C2×C42—81no—
331C2×C42C22×C411yescharacteristic
332C2×C42C22×C411yescharacteristic
333C2×C42C22×C411yescharacteristic
334C2×C42C22×C411yescharacteristic
335C2×C42C2×D411yescharacteristic
336C2×C42C2×D411yescharacteristic
337C2×C42C2×D411yescharacteristic
338C2×C42C2×D411yescharacteristic
339C2×C42C2×D411yescharacteristic
340C2×C42C2×D411yescharacteristic
341C2×C42C2×D411yescharacteristic
342C2×C42C2×D411yescharacteristic
343C2×C42C2411yescharacteristic
344C4⋊C8—81no—
345C4⋊C8—81no—
346C22⋊C8—42no—
347C22⋊C8—42no—
348C22⋊C8—42no—
349C22⋊C8—42no—
350C22⋊C8—81no—
351C22⋊C8—81no—
352#97—81no—
353C4×C8—42no—
354C4×C8—42no—
355C4×C8—81no—
356#95—21no—
357#95—21no—
358#95—21no—
359#95—21no—
360#95—21no—
361#95—21no—
362#95—21no—
363#95—21no—
364#95—21no—
365#95—21no—
366#95—21no—
367#95—21no—
368#95C22⋊C411yescharacteristic
369#95C22⋊C411yescharacteristic
370#95C22⋊C411yescharacteristic
371#95C22⋊C411yescharacteristic
372#95C22⋊C411yescharacteristic
373#95C22⋊C411yescharacteristic
374C24—21no—
375C24—21no—
376C24—42no—
377C24—42no—
378C24—42no—
379C24—42no—
380C24—81no—
381C24—81no—
382C24—81no—
383C24C2×C22⋊C411yescharacteristic
384C24C2×C22⋊C411yescharacteristic
385#41—84no—
386#41—84no—
387C2×Q8—21no—
388C2×Q8—21no—
389C2×Q8—21no—
390C2×Q8—21no—
391C2×Q8—41no—
392C2×Q8—41no—
393C2×Q8—41no—
394C2×Q8—41no—
395C2×D4—22no—
396C2×D4—22no—
397C2×D4—21no—
398C2×D4—21no—
399C2×D4—21no—
400C2×D4—41no—
401C2×D4—41no—
402C2×D4—41no—
403C2×D4—42no—
404C2×D4—41no—
405C2×D4—41no—
406C2×D4—42no—
407C2×D4—42no—
408C2×D4—42no—
409C2×D4—42no—
410C2×D4—81no—
411C2×D4—84no—
412C2×D4—84no—
413C2×D4—81no—
414C2×D4—81no—
415C2×D4—81no—
416C2×D4#13112yes—
417C22×C4—22no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—22no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—41no—
436C22×C4—41no—
437C22×C4—41no—
438C22×C4—41no—
439C22×C4—41no—
440C22×C4—41no—
441C22×C4—41no—
442C22×C4—41no—
443C22×C4—41no—
444C22×C4—41no—
445C22×C4—42no—
446C22×C4—42no—
447C22×C4—42no—
448C22×C4—42no—
449C22×C4—42no—
450C22×C4—42no—
451C22×C4—81no—
452C22×C4—81no—
453C22×C4—81no—
454C22×C4C2×C22⋊C411yescharacteristic
455C22×C4C2×C22⋊C411yescharacteristic
456C22×C4C2×C22⋊C411yescharacteristic
457C22×C4C2×C22⋊C411yescharacteristic
458C22×C4C2×C22⋊C411yescharacteristic
459C22×C4C2×C22⋊C411yescharacteristic
460C22×C4C2×C22⋊C411yescharacteristic
461C22×C4C2×C22⋊C411yescharacteristic
462C22×C4C2×C22⋊C411yescharacteristic
463C22×C4C2×C22⋊C411yescharacteristic
464C22×C4#13512yes—
465C22×C4#13512yes—
466C22×C4C23×C411yescharacteristic
467C22×C4C22×D411yescharacteristic
468C22×C4C22×D411yescharacteristic
469M16—84no—
470C2×C8—22no—
471C2×C8—22no—
472C2×C8—41no—
473C2×C8—41no—
474C2×C8—41no—
475C2×C8—41no—
476C2×C8—41no—
477C2×C8—41no—
478C2×C8—41no—
479C2×C8—41no—
480C2×C8—41no—
481C2×C8—41no—
482C2×C8—41no—
483C2×C8—41no—
484C2×C8—41no—
485C2×C8—41no—
486C2×C8—41no—
487C2×C8—41no—
488C2×C8—41no—
489C2×C8—41no—
490C2×C8—41no—
491C2×C8—41no—
492C2×C8—41no—
493C2×C8—41no—
494C2×C8—84no—
495C4⋊C4—22no—
496C4⋊C4—22no—
497C4⋊C4—41no—
498C4⋊C4—41no—
499C4⋊C4—41no—
500C4⋊C4—41no—
501C4⋊C4—41no—
502C4⋊C4—42no—
503C4⋊C4—42no—
504C4⋊C4—42no—
505C4⋊C4—42no—
506C4⋊C4—42no—
507C4⋊C4—42no—
508C4⋊C4—42no—
509C4⋊C4—81no—
510C4⋊C4—81no—
511C4⋊C4—81no—
512C4⋊C4—81no—
513C22⋊C4—22no—
514C22⋊C4—22no—
515C22⋊C4—22no—
516C22⋊C4—41no—
517C22⋊C4—41no—
518C22⋊C4—42no—
519C22⋊C4—42no—
520C22⋊C4—42no—
521C22⋊C4—42no—
522C22⋊C4—42no—
523C22⋊C4—42no—
524C22⋊C4—42no—
525C22⋊C4—42no—
526C22⋊C4—42no—
527C22⋊C4—42no—
528C22⋊C4—42no—
529C22⋊C4—41no—
530C22⋊C4—41no—
531C22⋊C4—41no—
532C22⋊C4—41no—
533C22⋊C4—41no—
534C22⋊C4—41no—
535C22⋊C4—41no—
536C22⋊C4—41no—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—81no—
541C22⋊C4—81no—
542C22⋊C4—81no—
543C22⋊C4—81no—
544C22⋊C4—81no—
545C22⋊C4—81no—
546C22⋊C4#10014yes—
547C42—21no—
548C42—21no—
549C42—21no—
550C42—21no—
551C42—21no—
552C42—21no—
553C42—22no—
554C42—41no—
555C42—41no—
556C42—41no—
557C42—41no—
558C42—41no—
559C42—41no—
560C42—41no—
561C42—41no—
562C42—41no—
563C42—42no—
564C42—42no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—22no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—84no—
592C23—84no—
593C23—84no—
594C23—84no—
595C23—162no—
596C23—162no—
597C23—162no—
598C23C2×#10012yes—
599C23#41612yes—
600C23C22×C22⋊C411yescharacteristic
601Q8—81no—
602Q8—81no—
603Q8—81no—
604Q8—81no—
605D4—42no—
606D4—42no—
607D4—44no—
608D4—84no—
609D4—81no—
610D4—81no—
611D4—84no—
612D4—162no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—81no—
673C2×C4—81no—
674C2×C4—81no—
675C2×C4—81no—
676C2×C4—84no—
677C2×C4—84no—
678C2×C4—162no—
679C2×C4C2×#10012yes—
680C2×C4C2×#10012yes—
681C2×C4#41612yes—
682C2×C4C2×#13111yescharacteristic
683C2×C4#56811yescharacteristic
684C2×C4C2×#13511yescharacteristic
685C2×C4C2×#13511yescharacteristic
686C2×C4#57511yescharacteristic
687C2×C4#57511yescharacteristic
688C8—42no—
689C8—42no—
690C8—81no—
691C8—81no—
692C8—81no—
693C8—81no—
694C8—81no—
695C8—81no—
696C22—22no—
697C22—22no—
698C22—22no—
699C22—22no—
700C22—22no—
701C22—22no—
702C22—41no—
703C22—41no—
704C22—41no—
705C22—41no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—42no—
711C22—42no—
712C22—42no—
713C22—81no—
714C22—81no—
715C22—81no—
716C22—81no—
717C22—81no—
718C22—81no—
719C22—81no—
720C22—81no—
721C22—81no—
722C22—81no—
723C22—81no—
724C22—168no—
725C22#288011yescharacteristic
726C22#288311yescharacteristic
727C22C22×#10011yescharacteristic
728C22C2×#41611yescharacteristic
729C22#289611yescharacteristic
730C22#290111yescharacteristic
731C22#290111yescharacteristic
732C4—21no—
733C4—21no—
734C4—22no—
735C4—22no—
736C4—21no—
737C4—21no—
738C4—22no—
739C4—21no—
740C4—21no—
741C4—41no—
742C4—41no—
743C4—41no—
744C4—41no—
745C4—41no—
746C4—41no—
747C4—41no—
748C4—81no—
749C4—81no—
750C4—81no—
751C4—81no—
752C4—81no—
753C4—81no—
754C2—42no—
755C2—42no—
756C2—82no—
757C2—161no—
758C2#1742111yescharacteristic
759C2#1750811yescharacteristic
760C2#1751311yescharacteristic
761C2#1761511yescharacteristic
762C2#1762311yescharacteristic
763C2#1768511yescharacteristic
764C2#1771411yescharacteristic
subgroupG/H
center, socleC23C22×C22⋊C4
commutatorC22×C4C23×C4
Frattini, cosocleC2×C42C24
prime radicalC2×#546C4
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C2×C42 ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #22786C2semidirect
3. #22785C2semidirect
4. #7730C2semidirect
5. #7727C2semidirect
6. #7690C2semidirect
7. #7687C2semidirect
8. #7656C2semidirect
9. #7656C2semidirect
10. #7649C2semidirect
11. #7612C2semidirect
12. #7606C2semidirect
13. #7578C2semidirect
14. #7572C2semidirect
15. #7567C2semidirect
45. #1839C22semidirect
46. #1839C22semidirect
48. #1817C22semidirect
50. #1797C22semidirect
53. #1749C22semidirect
55. #1744C22semidirect
56. #1744C22semidirect
58. C2×#336C22semidirect
59. #1272C22semidirect
60. #1272C22semidirect
61. #1272C22semidirect
62. #1272C22semidirect
63. #1272C22semidirect
64. #1272C22semidirect
65. #1272C22semidirect
66. #1272C22semidirect

Maximal subgroups

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

subgroupindex
#363862
#227862
#227852
#77302
#77272
#76902
#76872
#76562
#76492
#76122
#76062
#75782
#75722
#75672