Finite Group Databasebeta

← #6469729

Subgroups — #6469729

Order 512.

1842 conjugacy classes of subgroups.

The subgroup lattice has 780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36631C211yesmaximal, characteristic
2C4×#533C211yesmaximal, characteristic, complemented
3#29563C214yesmaximal, complemented
4#29207C211yesmaximal, characteristic, complemented
5#29144C211yesmaximal, characteristic, complemented
6#28750C211yesmaximal, characteristic, complemented
7#28444C211yesmaximal, characteristic, complemented
8#27892C211yesmaximal, characteristic, complemented
9#27890C211yesmaximal, characteristic
10#25600C211yesmaximal, characteristic, complemented
11#25598C211yesmaximal, characteristic
12#24657C214yesmaximal, complemented
13#23578C214yesmaximal, complemented
14#21692C211yesmaximal, characteristic, complemented
15#21691C211yesmaximal, characteristic, complemented
16#21647C211yesmaximal, characteristic, complemented
17#21646C211yesmaximal, characteristic, complemented
18#21508C214yesmaximal, complemented
19C4×#432C211yesmaximal, characteristic, complemented
20C2×#533C2211yescharacteristic
21C2×#529C2212yes—
22C2×#494C2211yescharacteristic
23C2×#492C2211yescharacteristic
24C2×#487C2211yescharacteristic
25C2×#486C2211yescharacteristic
26C2×#464C2214yes—
27C2×#441C2214yes—
28C2×#440C2214yes—
29C2×#432C2212yes—
30#2861C2212yes—
31#2860—21no—
32#2860—21no—
33#2859C2211yescharacteristic
34#2858C2211yescharacteristic
35#2857C2211yescharacteristic
36#2856C2211yescharacteristic
37#2854—21no—
38#2854—21no—
39#2850C2212yes—
40C4×C4⋊Q8C2211yescharacteristic
41C4×C4⋊Q8C2211yescharacteristic
42C4×C4⋊Q8C2211yescharacteristic
43C4×C4⋊Q8C2211yescharacteristic
44C4×C4⋊Q8C2211yescharacteristic
45C4×#127C2211yescharacteristic
46C4×#125—21no—
47C4×#125—21no—
48C4×#124C2212yes—
49C4×C22⋊Q8—21no—
50C4×C22⋊Q8—21no—
51C4×C22⋊Q8C2212yes—
52C4×C22⋊Q8C2212yes—
53C4×#121—21no—
54C4×#121—21no—
55#2296—21no—
56#2295—21no—
57#2295C2212yes—
58#2293—21no—
59#2293—21no—
60#2285C2211yescharacteristic
61C42×Q8—21no—
62C42×Q8C2212yes—
63C4×#117—21no—
64C2×C43C2211yescharacteristic
65#2059C2214yes—
66#2042C2214yes—
67#2036C2214yes—
68#2034C2214yes—
69#2026C2214yes—
70#2015C2214yes—
71#2001C2214yes—
72#2000C2214yes—
73#1990C2211yescharacteristic
74#1990C2211yescharacteristic
75#1983C2214yes—
76#1973C2214yes—
77#1971C2214yes—
78#1957C2211yescharacteristic
79#1957C2211yescharacteristic
80#1956C2211yescharacteristic
81#1956C2211yescharacteristic
82#1956C2211yescharacteristic
83#1956C2211yescharacteristic
84#1949C2214yes—
85#1936C2214yes—
86#1935C2214yes—
87#1928C2214yes—
88#1926C2214yes—
89#1880C2214yes—
90#1878C2214yes—
91#1845C2211yescharacteristic
92#1844C2211yescharacteristic
93#1834C2211yescharacteristic
94#1834C2211yescharacteristic
95#1805C2214yes—
96#1767C2212yes—
97C4×C4⋊C8C2211yescharacteristic
98C4×C4⋊C8C2211yescharacteristic
99#1763C2214yes—
100#1762C2214yes—
101#1749C2212yes—
102C4×C22⋊C8C2211yescharacteristic
103C4×C22⋊C8C2211yescharacteristic
104#1745C2212yes—
105C4×#97C2211yescharacteristic
106C4×#97C2211yescharacteristic
107C22×Q16C2314yes—
108C22×SD16C2314yes—
109#533—24no—
110#533—24no—
111C2×C4⋊Q8C2311yescharacteristic
112C2×C4⋊Q8C2311yescharacteristic
113C2×C4⋊Q8C2311yescharacteristic
114C2×#127C2311yescharacteristic
115#529—48no—
116C2×#126—22no—
117C2×#125—21no—
118C2×#125C2312yes—
119C2×#124C2312yes—
120C2×#124C2312yes—
121C2×#123—22no—
122C2×C22⋊Q8—21no—
123C2×C22⋊Q8C2312yes—
124C2×C22⋊Q8C2312yes—
125C2×#121—21no—
126C2×#121—21no—
127C2×#121C2312yes—
128C2×C4×Q8—21no—
129C2×C4×Q8—21no—
130C2×C4×Q8—21no—
131C2×C4×Q8C2312yes—
132C2×C4×Q8C2312yes—
133C2×C4×Q8C2312yes—
134C2×C4×Q8C2312yes—
135C2×C4×D4—22no—
136C2×C4×D4—21no—
137C2×C4×D4—21no—
138C2×C4×D4C2312yes—
139C2×#117—21no—
140C2×#117—21no—
141C2×#117—22no—
142C22×C42D411yescharacteristic
143C22×C42D411yescharacteristic
144C22×C42D411yescharacteristic
145C22×C42D411yescharacteristic
146C22×C42C2311yescharacteristic
147C22×C42C2311yescharacteristic
148C22×C42C2311yescharacteristic
149#494—24no—
150#492—24no—
151#487—24no—
152#486—24no—
153#464—216no—
154#441—48no—
155#440—48no—
156#432—28no—
157C2×#107C2314yes—
158C2×#106C2314yes—
159C2×C4⋊C8C2312yes—
160C2×C4⋊C8C2312yes—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×#102C2314yes—
169C2×C22⋊C8C2312yes—
170C2×C22⋊C8C2312yes—
171C2×#97C2312yes—
172C2×#97C2312yes—
173C2×#97C2312yes—
174C2×#97C2312yes—
175C2×C4×C8C2311yescharacteristic
176C2×C4×C8C2311yescharacteristic
177C2×C4×C8C2311yescharacteristic
178C2×C4×C8C2311yescharacteristic
179#391—21no—
180#391—21no—
181#391C2312yes—
182#391C2312yes—
183#391C2312yes—
184#391C2312yes—
185#390—21no—
186#390—21no—
187#390—21no—
188#390—21no—
189#390—21no—
190#390—21no—
191#390—21no—
192#390—21no—
193#390C2312yes—
194#390C2312yes—
195#389—21no—
196#389—21no—
197#389—21no—
198#389—21no—
199#389—21no—
200#389—21no—
201#389—21no—
202#389—21no—
203#389—21no—
204#389—21no—
205#389—21no—
206#389—21no—
207#389—21no—
208#389—21no—
209#389C2312yes—
210#389C2312yes—
211#388—22no—
212#388—22no—
213#388—22no—
214#388—22no—
215#388—22no—
216#388—22no—
217#388—22no—
218#388—22no—
219#387—22no—
220#387—22no—
221#387—22no—
222#387—22no—
223#386—22no—
224#386—22no—
225#385—22no—
226#385—22no—
227#384C2311yescharacteristic
228#384C2311yescharacteristic
229#384C2311yescharacteristic
230#384C2311yescharacteristic
231#382—21no—
232#382C2312yes—
233#380—21no—
234#380—21no—
235#380—21no—
236#380C2312yes—
237C4×C4⋊C4—21no—
238C4×C4⋊C4—21no—
239C4×C4⋊C4—21no—
240C4×C4⋊C4—21no—
241C4×C4⋊C4—22no—
242C4×C4⋊C4—22no—
243C4×C4⋊C4—22no—
244C4×C4⋊C4—22no—
245C4×C4⋊C4—21no—
246C4×C4⋊C4—21no—
247C4×C4⋊C4—21no—
248C4×C4⋊C4—21no—
249C4×C4⋊C4—21no—
250C4×C4⋊C4—22no—
251C4×C4⋊C4—22no—
252C4×C4⋊C4C2312yes—
253C4×C4⋊C4C2312yes—
254C4×C4⋊C4C2312yes—
255C4×C22⋊C4—22no—
256C4×C22⋊C4—22no—
257C4×C22⋊C4—22no—
258C4×C22⋊C4—22no—
259#376—22no—
260C43—22no—
261C43D411yescharacteristic
262C43D411yescharacteristic
263C43D411yescharacteristic
264C43D411yescharacteristic
265C43C2311yescharacteristic
266C43C2311yescharacteristic
267C43C2311yescharacteristic
268C43C2311yescharacteristic
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#340C2314yes—
273#336C2312yes—
274#336C2312yes—
275#336C2312yes—
276#336C2312yes—
277C22×Q8—21no—
278C22×Q8C2412yes—
279C22×Q8C2412yes—
280C22×D4—22no—
281C22×D4—21no—
282C22×D4—21no—
283C22×D4C2412yes—
284C23×C4—22no—
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2×D411yescharacteristic
291C23×C4C2411yescharacteristic
292C2×Q16—28no—
293C2×Q16—28no—
294C2×Q16—44no—
295C2×SD16—28no—
296C2×SD16—28no—
297C2×SD16—44no—
298C22×C8C2412yes—
299C22×C8C2412yes—
300C22×C8C2412yes—
301C22×C8C2412yes—
302C4⋊Q8—22no—
303C4⋊Q8—22no—
304C4⋊Q8—22no—
305C4⋊Q8—22no—
306C4⋊Q8#4114yes—
307C4⋊Q8#4114yes—
308#127—22no—
309#127—22no—
310#126—48no—
311#125—28no—
312#125—44no—
313#124—28no—
314#124—44no—
315#123—48no—
316C22⋊Q8—28no—
317C22⋊Q8—24no—
318C22⋊Q8—24no—
319C22⋊Q8—44no—
320#121—44no—
321#121—44no—
322#121—44no—
323C4×Q8—28no—
324C4×Q8—24no—
325C4×Q8—24no—
326C4×Q8—28no—
327C4×Q8—28no—
328C4×Q8—28no—
329C4×Q8—44no—
330C4×Q8—44no—
331C4×D4—28no—
332C4×D4—44no—
333C4×D4—44no—
334C4×D4—48no—
335#117—28no—
336#117—48no—
337#117—44no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—21no—
361C2×C4⋊C4C2412yes—
362C2×C4⋊C4C2412yes—
363C2×C4⋊C4C2412yes—
364C2×C4⋊C4C2412yes—
365C2×C4⋊C4C2412yes—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—22no—
379C2×C42—24no—
380C2×C42—22no—
381C2×C42—22no—
382C2×C42—22no—
383C2×C42—24no—
384C2×C42—24no—
385C2×C42—22no—
386C2×C42—22no—
387C2×C42—22no—
388C2×C42—22no—
389C2×C42—22no—
390C2×C42—22no—
391C2×C42—42no—
392C2×C42—42no—
393C2×C42—42no—
394C2×C42C2×D411yescharacteristic
395C2×C42C2×D411yescharacteristic
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2×D411yescharacteristic
412C2×C42C2×D411yescharacteristic
413C2×C42C2×D411yescharacteristic
414C2×C42C2×D411yescharacteristic
415C2×C42C2×D411yescharacteristic
416C2×C42C2411yescharacteristic
417C2×C42C2411yescharacteristic
418C2×C42C2411yescharacteristic
419C2×C42C2411yescharacteristic
420C2×C42C2411yescharacteristic
421C2×C42C2411yescharacteristic
422#107—44no—
423#106—44no—
424C4⋊C8—24no—
425C4⋊C8#4118yes—
426#103—28no—
427#103—28no—
428#103—44no—
429#103—44no—
430#103—44no—
431#102—28no—
432#102—28no—
433#102—44no—
434C22⋊C8—24no—
435C22⋊C8—24no—
436#97—24no—
437#97—24no—
438#97—24no—
439#97—24no—
440C4×C8—22no—
441C4×C8—22no—
442C4×C8—22no—
443C4×C8—22no—
444#95—22no—
445#95—22no—
446#95—22no—
447#95—22no—
448#95—22no—
449#95—22no—
450#95—22no—
451#95—22no—
452#95—22no—
453#95—22no—
454#95—22no—
455#95—22no—
456#95—22no—
457#95—22no—
458#95—22no—
459#95—22no—
460C24—22no—
461C24C22×D411yescharacteristic
462C2×Q8—24no—
463C2×Q8—22no—
464C2×Q8—24no—
465C2×Q8—22no—
466C2×Q8—24no—
467C2×Q8—22no—
468C2×Q8—24no—
469C2×Q8—24no—
470C2×Q8—42no—
471C2×Q8—42no—
472C2×Q8C2×#4114yes—
473C2×D4—22no—
474C2×D4—24no—
475C2×D4—22no—
476C2×D4—24no—
477C2×D4—44no—
478C2×D4—44no—
479C2×D4—44no—
480C2×D4—42no—
481C2×D4—42no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—42no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—41no—
509C22×C4—41no—
510C22×C4—41no—
511C22×C4—41no—
512C22×C4—41no—
513C22×C4—41no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4#13714yes—
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C2511yescharacteristic
532Q16—416no—
533SD16—416no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8C2×#4114yes—
545C2×C8C2×#4114yes—
546C4⋊C4—28no—
547C4⋊C4—28no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—24no—
551C4⋊C4—22no—
552C4⋊C4—24no—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—24no—
556C4⋊C4—44no—
557C4⋊C4—44no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—44no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4C2×#4114yes—
575C22⋊C4—28no—
576C22⋊C4—44no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C42—28no—
589C42—22no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—21no—
607C42—21no—
608C42—22no—
609C42—41no—
610C42—41no—
611C42—41no—
612C42—41no—
613C42—41no—
614C42—41no—
615C42—44no—
616C42—44no—
617C42—44no—
618C42—44no—
619C42—44no—
620C42—44no—
621C42C2×#4112yes—
622C42C2×#4112yes—
623C42C2×#4114yes—
624C42H(5,𝔽2)14yes—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—21no—
630C23—21no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23C2×#13712yes—
639C23C23×D411yescharacteristic
640Q8—28no—
641Q8—48no—
642Q8—44no—
643Q8—44no—
644Q8—44no—
645D4—44no—
646D4—44no—
647D4—88no—
648D4—84no—
649D4—84no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—28no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—44no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—88no—
708C2×C4#52512yes—
709C2×C4#52512yes—
710C2×C4#53212yes—
711C2×C4#53212yes—
712C2×C4#53512yes—
713C2×C4#53512yes—
714C2×C4C2×#13712yes—
715C2×C4C2×#13712yes—
716C2×C4#57512yes—
717C2×C4#57512yes—
718C2×C4#57512yes—
719C2×C4C22×#4111yescharacteristic
720C2×C4C22×#4112yes—
721C2×C4C22×#4111yescharacteristic
722C2×C4C2×H(5,𝔽2)12yes—
723C8—24no—
724C8—24no—
725C8—42no—
726C8—42no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—41no—
731C22—41no—
732C22—41no—
733C22—41no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22—82no—
741C22C2×#52511yescharacteristic
742C22C2×#53211yescharacteristic
743C22C2×#53511yescharacteristic
744C22C22×#13711yescharacteristic
745C22C2×#57511yescharacteristic
746C22C2×#57511yescharacteristic
747C22C2×#57511yescharacteristic
748C4—22no—
749C4—22no—
750C4—22no—
751C4—22no—
752C4—22no—
753C4—41no—
754C4—41no—
755C4—41no—
756C4—44no—
757C4—41no—
758C4—41no—
759C4—41no—
760C4—44no—
761C4—82no—
762C4—82no—
763C4—82no—
764C4—82no—
765C4—82no—
766C4#311114yes—
767C4#311714yes—
768C4#348112yes—
769C4#348312yes—
770C2—42no—
771C2—162no—
772C2#3497711yescharacteristic
773C2C2×#311711yescharacteristic
774C2C2×#311111yescharacteristic
775C2#6069311yescharacteristic
776C2#6070111yescharacteristic
777C2#6080111yescharacteristic
778C2#6080411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#2856C22
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
2. C4×#533C2semidirect
3. #29563C2semidirect
4. #29207C2semidirect
5. #29144C2semidirect
6. #28750C2semidirect
7. #28444C2semidirect
8. #27892C2semidirect
10. #25600C2semidirect
12. #24657C2semidirect
13. #23578C2semidirect
14. #21692C2semidirect
15. #21691C2semidirect
16. #21647C2semidirect
17. #21646C2semidirect
18. #21508C2semidirect
19. C4×#432C2semidirect

Maximal subgroups

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

subgroupindex
#366312
C4×#5332
#295632
#292072
#291442
#287502
#284442
#278922
#278902
#256002
#255982
#246572
#235782
#216922
#216912
#216472
#216462
#215082
C4×#4322