Finite Group Databasebeta

← #6495731

Subgroups — #6495731

Order 512.

1874 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36635C211yesmaximal, characteristic, complemented
2C2×#2293C211yesmaximal, characteristic
3#33147C211yesmaximal, characteristic, complemented
4#33109C211yesmaximal, characteristic, complemented
5#32953C211yesmaximal, characteristic
6#32905C211yesmaximal, characteristic
7#29995C212yesmaximal, complemented
8#29829C212yesmaximal, complemented
9#29537C214yesmaximal, complemented
10#29433C214yesmaximal, complemented
11#29243C212yesmaximal, complemented
12#28123C212yesmaximal
13#24602C212yesmaximal, complemented
14#24501C212yesmaximal
15#22146C212yesmaximal, complemented
16#22110C212yesmaximal, complemented
17#20808C211yesmaximal, characteristic, complemented
18C22×C4×D4C2211yescharacteristic
19C22×#117—21no—
20C2×#484C2212yes—
21C2×#474C2212yes—
22C2×#461C2212yes—
23C2×#450C2212yes—
24C2×#431C2212yes—
25#2864—21no—
26#2863—21no—
27#2863C2212yescomplemented
28#2862C2211yescharacteristic, complemented
29#2859C2211yescharacteristic, complemented
30#2857C2211yescharacteristic
31#2857C2211yescharacteristic
32#2855—21no—
33#2855C2212yes—
34#2851—21no—
35C4×C4⋊Q8C2211yescharacteristic, complemented
36C4×C4⋊Q8C2211yescharacteristic, complemented
37C4×#125—21no—
38C4×C22⋊Q8—21no—
39C4×C22⋊Q8C2212yes—
40#2295—21no—
41#2295C2212yescomplemented
42#2293—21no—
43#2293—21no—
44#2293—21no—
45#2293—21no—
46#2293C2212yes—
47#2293C2212yes—
48#2293C2212yes—
49#2293C2212yes—
50C2×#390C2211yescharacteristic
51C2×#390C2211yescharacteristic
52C2×#389C2211yescharacteristic
53C2×#389C2211yescharacteristic
54C2×#388—21no—
55C2×#388—21no—
56#2283—21no—
57C2×C4×C4⋊C4C2211yescharacteristic
58C2×C4×C22⋊C4—21no—
59C2×C43C2211yescharacteristic
60#2088C2214yescomplemented
61#2087C2214yescomplemented
62#2068C2214yescomplemented
63#2068C2214yescomplemented
64#2067C2214yes—
65#2065C2214yes—
66#2055C2214yes—
67#2055C2214yes—
68#1988C2212yescomplemented
69#1981C2212yescomplemented
70#1968C2214yes—
71#1948C2212yescomplemented
72#1947C2212yescomplemented
73#1942C2214yescomplemented
74#1934C2214yes—
75#1933C2214yescomplemented
76#1928C2214yescomplemented
77#1925C2214yes—
78#1919C2214yescomplemented
79#1918C2214yescomplemented
80#1880C2214yes—
81#1877C2214yes—
82#1872C2212yes—
83#1872C2212yes—
84#1865C2214yescomplemented
85#1862C2214yes—
86#1853C2212yes—
87#1852C2212yes—
88#1842C2212yescomplemented
89#1831C2212yescomplemented
90#1824C2212yes—
91#1802C2212yes—
92#1802C2212yes—
93#1797C2212yes—
94#1797C2211yescharacteristic
95#1797C2211yescharacteristic
96#1786C2212yes—
97C4×C4⋊C8C2212yescomplemented
98C4×C4⋊C8C2212yescomplemented
99C23×D4C2311yescharacteristic
100C24×C4—21no—
101C22×SD16C2314yes—
102C2×C4⋊Q8C2311yescharacteristic
103C2×C4⋊Q8C2311yescharacteristic
104C2×#125—21no—
105C2×C22⋊Q8—21no—
106C2×C22⋊Q8C2312yes—
107C2×C4×Q8—21no—
108C2×C4×Q8C2312yes—
109C2×C4×D4—28no—
110C2×C4×D4—21no—
111C2×C4×D4—21no—
112C2×C4×D4C2312yes—
113C2×C4×D4C2312yes—
114C2×#117—22no—
115C2×#117—22no—
116C2×#117—22no—
117C2×#117—22no—
118C2×#117—48no—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4C2311yescharacteristic
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
124C22×C22⋊C4—21no—
125C22×C22⋊C4—21no—
126C22×C22⋊C4—21no—
127C22×C22⋊C4—21no—
128C22×C22⋊C4—21no—
129C22×C42—21no—
130C22×C42D411yescharacteristic
131C22×C42D411yescharacteristic
132C22×C42D411yescharacteristic
133C22×C42D411yescharacteristic
134C22×C42C2311yescharacteristic
135C22×C42C2311yescharacteristic
136C22×C42C2311yescharacteristic
137#484—44no—
138#474—28no—
139#461—28no—
140#450—44no—
141#431—44no—
142C2×#107C2314yes—
143C2×#107C2314yes—
144C2×#106C2314yes—
145C2×C4⋊C8C2312yes—
146C2×C4⋊C8C2312yes—
147C2×C4⋊C8C2314yes—
148C2×C4⋊C8C2314yes—
149C2×#103C2314yes—
150C2×#103C2314yes—
151C2×#103C2314yes—
152C2×#102C2314yes—
153C2×#102C2314yes—
154C2×#102C2314yes—
155C2×C22⋊C8C2312yes—
156C2×C22⋊C8C2312yes—
157C2×C4×C8C2314yes—
158#391—21no—
159#391—21no—
160#391—21no—
161#391—21no—
162#391C2312yes—
163#391C2312yes—
164#391C2312yes—
165#391C2312yes—
166#390—21no—
167#390—21no—
168#390—21no—
169#390—21no—
170#390C2312yes—
171#390C2312yes—
172#390C2312yes—
173#390C2312yes—
174#389—21no—
175#389—21no—
176#389—21no—
177#389—21no—
178#389—21no—
179#389—21no—
180#389—21no—
181#389—21no—
182#389—21no—
183#389—21no—
184#389—21no—
185#389—21no—
186#389C2312yes—
187#389C2312yes—
188#389C2312yes—
189#389C2312yes—
190#389C2312yes—
191#389C2312yes—
192#389C2312yes—
193#389C2312yes—
194#388—22no—
195#388—22no—
196#388—22no—
197#388—22no—
198#388—22no—
199#388—22no—
200#388—22no—
201#388—22no—
202#387—22no—
203#387—22no—
204#387—22no—
205#387—22no—
206#387—22no—
207#387—22no—
208#387—22no—
209#387—22no—
210#385—22no—
211#385—22no—
212#384C2311yescharacteristic
213#384C2311yescharacteristic
214#383—22no—
215#382—21no—
216#382—21no—
217#382—21no—
218#381—22no—
219#380—21no—
220#380—21no—
221#380—21no—
222#380C2312yes—
223C4×C4⋊C4—21no—
224C4×C4⋊C4—21no—
225C4×C4⋊C4—22no—
226C4×C4⋊C4—22no—
227C4×C4⋊C4—21no—
228C4×C4⋊C4—21no—
229C4×C4⋊C4—21no—
230C4×C4⋊C4C2312yes—
231C4×C4⋊C4C2312yes—
232C4×C4⋊C4C2312yes—
233C4×C22⋊C4—22no—
234C4×C22⋊C4—22no—
235C4×C22⋊C4—22no—
236C4×C22⋊C4—22no—
237C4×C22⋊C4—22no—
238#376—22no—
239C2×#95—21no—
240C2×#95—21no—
241C2×#95—21no—
242C43D411yescharacteristic
243C43D411yescharacteristic
244C43D411yescharacteristic
245C43D411yescharacteristic
246C43C2311yescharacteristic
247C43C2311yescharacteristic
248C43C2311yescharacteristic
249C43C2311yescharacteristic
250#340C2314yes—
251#340C2314yes—
252#340C2314yes—
253#340C2314yes—
254#340C2314yes—
255#340C2314yes—
256#336C2312yes—
257#336C2314yes—
258#336C2312yes—
259C25—21no—
260C22×Q8—21no—
261C22×Q8C2412yes—
262C22×D4—24no—
263C22×D4—21no—
264C22×D4—22no—
265C22×D4—22no—
266C22×D4—42no—
267C22×D4C2412yes—
268C23×C4—28no—
269C23×C4—21no—
270C23×C4—22no—
271C23×C4—22no—
272C23×C4—21no—
273C23×C4—21no—
274C23×C4—44no—
275C23×C4—44no—
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D411yescharacteristic
280C23×C4C2×D411yescharacteristic
281C23×C4C2×D411yescharacteristic
282C23×C4C2411yescharacteristic
283C2×SD16—28no—
284C2×SD16—44no—
285C2×SD16—44no—
286C22×C8C2414yes—
287C22×C8C2414yes—
288C4⋊Q8—24no—
289C4⋊Q8—24no—
290#125—44no—
291C22⋊Q8—24no—
292C22⋊Q8—24no—
293C22⋊Q8—44no—
294C4×Q8—44no—
295C4×Q8—44no—
296C4×D4—28no—
297C4×D4—28no—
298C4×D4—24no—
299C4×D4—24no—
300C4×D4—24no—
301C4×D4#4118yes—
302#117—48no—
303#117—48no—
304#117—48no—
305#117—48no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—24no—
308C2×C4⋊C4—22no—
309C2×C4⋊C4—22no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—42no—
330C2×C4⋊C4—44no—
331C2×C4⋊C4—44no—
332C2×C4⋊C4C2412yes—
333C2×C4⋊C4C2412yes—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C22⋊C4—28no—
339C2×C22⋊C4—22no—
340C2×C22⋊C4—22no—
341C2×C22⋊C4—22no—
342C2×C22⋊C4—22no—
343C2×C22⋊C4—22no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—44no—
353C2×C22⋊C4—44no—
354C2×C22⋊C4—44no—
355C2×C42—24no—
356C2×C42—24no—
357C2×C42—22no—
358C2×C42—22no—
359C2×C42—24no—
360C2×C42—24no—
361C2×C42—22no—
362C2×C42—22no—
363C2×C42—22no—
364C2×C42—22no—
365C2×C42—42no—
366C2×C42—42no—
367C2×C42—44no—
368C2×C42C2×D411yescharacteristic
369C2×C42C2×D411yescharacteristic
370C2×C42C2×D411yescharacteristic
371C2×C42C2×D411yescharacteristic
372C2×C42C2×D411yescharacteristic
373C2×C42C2×D411yescharacteristic
374C2×C42C2×D411yescharacteristic
375C2×C42C2×D411yescharacteristic
376C2×C42C2×D411yescharacteristic
377C2×C42C2×D411yescharacteristic
378C2×C42C2×D411yescharacteristic
379C2×C42C2×D411yescharacteristic
380C2×C42C2×D411yescharacteristic
381C2×C42C2×D411yescharacteristic
382C2×C42C2×D411yescharacteristic
383C2×C42C2×D411yescharacteristic
384C2×C42C2×D411yescharacteristic
385C2×C42C2×D411yescharacteristic
386C2×C42C2×D411yescharacteristic
387C2×C42C2×D411yescharacteristic
388C2×C42C2×D411yescharacteristic
389C2×C42C2×D411yescharacteristic
390C2×C42C2411yescharacteristic
391C2×C42C2411yescharacteristic
392C2×C42C2411yescharacteristic
393C2×C42C2411yescharacteristic
394C2×C42C2411yescharacteristic
395C2×C42C2411yescharacteristic
396#107—28no—
397#107—44no—
398#106—44no—
399C4⋊C8—24no—
400C4⋊C8—24no—
401C4⋊C8—44no—
402C4⋊C8—44no—
403#103—28no—
404#103—44no—
405#103—44no—
406#102—28no—
407#102—44no—
408#102—44no—
409C22⋊C8—24no—
410C22⋊C8—24no—
411C4×C8—44no—
412#95—22no—
413#95—22no—
414#95—22no—
415#95—22no—
416#95—22no—
417#95—22no—
418#95—22no—
419#95—22no—
420#95—22no—
421#95—22no—
422#95—22no—
423#95—22no—
424#95—22no—
425#95—22no—
426#95—22no—
427#95—22no—
428#95—22no—
429#95—22no—
430#95—22no—
431#95—22no—
432C24—24no—
433C24—22no—
434C24—42no—
435C24—42no—
436C24—42no—
437C24—42no—
438C24—42no—
439C24—42no—
440C24C22×D411yescharacteristic
441C2×Q8—24no—
442C2×Q8—22no—
443C2×Q8—22no—
444C2×Q8—24no—
445C2×Q8—42no—
446C2×Q8—42no—
447C2×Q8—42no—
448C2×D4—24no—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—22no—
453C2×D4—22no—
454C2×D4—48no—
455C2×D4—48no—
456C2×D4—42no—
457C2×D4—42no—
458C2×D4C2×#4114yes—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—24no—
466C22×C4—28no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—28no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—41no—
484C22×C4—41no—
485C22×C4—41no—
486C22×C4—41no—
487C22×C4—44no—
488C22×C4—432no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—44no—
492C22×C4—44no—
493C22×C4—44no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4#13514yes—
501C22×C4#13714yes—
502C22×C4C22×D411yescharacteristic
503C22×C4C22×D411yescharacteristic
504C22×C4C22×D411yescharacteristic
505C22×C4C22×D411yescharacteristic
506C22×C4C22×D411yescharacteristic
507C22×C4C22×D411yescharacteristic
508C22×C4C22×D411yescharacteristic
509C22×C4C22×D411yescharacteristic
510C22×C4C22×D411yescharacteristic
511C22×C4C22×D411yescharacteristic
512C22×C4C22×D411yescharacteristic
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D411yescharacteristic
515C22×C4H(5,𝔽2)12yes—
516C22×C42−1+412yes—
517C22×C4C2511yescharacteristic
518SD16—88no—
519C2×C8—24no—
520C2×C8—24no—
521C2×C8—24no—
522C2×C8—24no—
523C2×C8—24no—
524C2×C8—24no—
525C4⋊C4—24no—
526C4⋊C4—22no—
527C4⋊C4—24no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—24no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—42no—
536C4⋊C4—44no—
537C4⋊C4—44no—
538C4⋊C4—44no—
539C4⋊C4—42no—
540C4⋊C4—42no—
541C4⋊C4—44no—
542C4⋊C4—42no—
543C4⋊C4—42no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—44no—
547C4⋊C4—42no—
548C4⋊C4—44no—
549C4⋊C4—44no—
550C4⋊C4—44no—
551C4⋊C4—42no—
552C4⋊C4—44no—
553C4⋊C4—44no—
554C4⋊C4C2×#4114yes—
555C22⋊C4—28no—
556C22⋊C4—28no—
557C22⋊C4—44no—
558C22⋊C4—44no—
559C22⋊C4—44no—
560C22⋊C4—44no—
561C22⋊C4—44no—
562C22⋊C4—44no—
563C22⋊C4—44no—
564C22⋊C4—44no—
565C22⋊C4—44no—
566C22⋊C4—44no—
567C42—22no—
568C42—22no—
569C42—22no—
570C42—22no—
571C42—22no—
572C42—22no—
573C42—22no—
574C42—22no—
575C42—22no—
576C42—22no—
577C42—22no—
578C42—22no—
579C42—22no—
580C42—22no—
581C42—22no—
582C42—22no—
583C42—22no—
584C42—22no—
585C42—21no—
586C42—21no—
587C42—21no—
588C42—21no—
589C42—22no—
590C42—22no—
591C42—41no—
592C42—41no—
593C42—41no—
594C42—41no—
595C42—44no—
596C42—44no—
597C42—44no—
598C42—44no—
599C42AGL(1,ℤ/8)14yes—
600C42C2×#4114yes—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—24no—
606C23—48no—
607C23—48no—
608C23—48no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—84no—
616C23—84no—
617C23—84no—
618C23—84no—
619C23#53712yes—
620C23C2×#13512yes—
621C23C2×#13712yes—
622C23C23×D411yescharacteristic
623Q8—44no—
624Q8—44no—
625Q8—84no—
626D4—24no—
627D4—24no—
628D4—48no—
629D4—42no—
630D4—42no—
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—28no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—28no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—21no—
652C2×C4—24no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—44no—
665C2×C4—44no—
666C2×C4—44no—
667C2×C4—44no—
668C2×C4—416no—
669C2×C4—48no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—416no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—84no—
692C2×C4—84no—
693C2×C4#52512yes—
694C2×C4#52512yes—
695C2×C4#53712yes—
696C2×C4C2×#13512yes—
697C2×C4C2×#13512yes—
698C2×C4C2×AGL(1,ℤ/8)12yes—
699C2×C4C2×AGL(1,ℤ/8)12yes—
700C2×C4C2×AGL(1,ℤ/8)12yes—
701C2×C4C2×#13712yes—
702C2×C4C2×#13712yes—
703C2×C4#57512yes—
704C2×C4C22×#4112yes—
705C2×C4C2×H(5,𝔽2)11yescharacteristic
706C2×C4C2×2−1+411yescharacteristic
707C2×C4#58512yes—
708C8—44no—
709C8—44no—
710C22—22no—
711C22—22no—
712C22—22no—
713C22—22no—
714C22—22no—
715C22—22no—
716C22—44no—
717C22—44no—
718C22—44no—
719C22—816no—
720C22—82no—
721C22—82no—
722C22—82no—
723C22—82no—
724C22#324814yes—
725C22C2×#52511yescharacteristic
726C22C2×#53711yescharacteristic
727C22#344911yescharacteristic
728C22C22×#13511yescharacteristic
729C22C22×AGL(1,ℤ/8)11yescharacteristic
730C22C22×#13711yescharacteristic
731C22C2×#57511yescharacteristic
732C4—22no—
733C4—22no—
734C4—22no—
735C4—22no—
736C4—22no—
737C4—22no—
738C4—22no—
739C4—22no—
740C4—41no—
741C4—41no—
742C4—44no—
743C4—41no—
744C4—41no—
745C4—82no—
746C4—82no—
747C4—82no—
748C4—82no—
749C4—82no—
750C4—82no—
751C4#310514yes—
752C4#349412yes—
753C4#349512yes—
754C2—24no—
755C2—84no—
756C2#3530211yescharacteristic
757C2C2×#310511yescharacteristic
758C2#6056211yescharacteristic
759C2C2×#324811yescharacteristic
760C2#6091611yescharacteristic
761C2#6094211yescharacteristic
762C2#6096911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C43 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36635C2semidirect
3. #33147C2semidirect
4. #33109C2semidirect
7. #29995C2semidirect
8. #29829C2semidirect
9. #29537C2semidirect
10. #29433C2semidirect
11. #29243C2semidirect
13. #24602C2semidirect
15. #22146C2semidirect
16. #22110C2semidirect
17. #20808C2semidirect
27. #2863C22semidirect
28. #2862C22semidirect
29. #2859C22semidirect
35. C4×C4⋊Q8C22semidirect
36. C4×C4⋊Q8C22semidirect
41. #2295C22semidirect
60. #2088C22semidirect
61. #2087C22semidirect
62. #2068C22semidirect
63. #2068C22semidirect
68. #1988C22semidirect
69. #1981C22semidirect
71. #1948C22semidirect
72. #1947C22semidirect
73. #1942C22semidirect
75. #1933C22semidirect
76. #1928C22semidirect
78. #1919C22semidirect
79. #1918C22semidirect
84. #1865C22semidirect
88. #1842C22semidirect
89. #1831C22semidirect
97. C4×C4⋊C8C22semidirect
98. C4×C4⋊C8C22semidirect

Maximal subgroups

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

subgroupindex
#366352
C2×#22932
#331472
#331092
#329532
#329052
#299952
#298292
#295372
#294332
#292432
#281232
#246022
#245012
#221462
#221102
#208082