Finite Group Databasebeta

← #7624984

Subgroups — #7624984

Order 512.

1423 conjugacy classes of subgroups.

The subgroup lattice has 812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62418C211yesmaximal, characteristic, complemented
2#62417C211yesmaximal, characteristic, complemented
3#33968C214yesmaximal, complemented
4#33841C214yesmaximal, complemented
5#33837C214yesmaximal, complemented
6#33833C214yesmaximal, complemented
7#33776C211yesmaximal, characteristic, complemented
8#33776C211yesmaximal, characteristic, complemented
9#33774C211yesmaximal, characteristic, complemented
10#33773C211yesmaximal, characteristic, complemented
11#33773C211yesmaximal, characteristic, complemented
12#33772C211yesmaximal, characteristic, complemented
13#33749C211yesmaximal, characteristic, complemented
14#33748C211yesmaximal, characteristic, complemented
15#33736C211yesmaximal, characteristic, complemented
16#33718C211yesmaximal, characteristic, complemented
17#33717C211yesmaximal, characteristic, complemented
18#33713C211yesmaximal, characteristic, complemented
19#33479C211yesmaximal, characteristic, complemented
20#3511—21no—
21#3508—21no—
22C2×#510C2214yescomplemented
23C2×#509C2214yes—
24C2×#508C2214yescomplemented
25#3396—21no—
26#3396C2212yes—
27#3393—21no—
28#3393C2212yescomplemented
29#3287—21no—
30#3287C2212yes—
31#3285—21no—
32#3285—21no—
33#3285C2212yes—
34#3285C2212yescomplemented
35#3283—21no—
36#3283C2212yes—
37#3280—21no—
38#3280—21no—
39#3280C2212yes—
40#3280C2212yes—
41#3210—21no—
42#3210—21no—
43#3208—21no—
44#3207—21no—
45#3207—21no—
46#3206—21no—
47#3170C2211yescharacteristic
48#3170C2211yescharacteristic
49#3170C2211yescharacteristic, complemented
50#3169C2211yescharacteristic
51#3169C2211yescharacteristic
52#3169C2211yescharacteristic, complemented
53#3147C2211yescharacteristic
54#3147C2211yescharacteristic
55#3147C2211yescharacteristic
56#3147C2211yescharacteristic, complemented
57C2×#494C2211yescharacteristic, complemented
58C2×#493C2211yescharacteristic
59C8×#41C2211yescharacteristic
60#2254C2211yescharacteristic, complemented
61#2251C2214yescomplemented
62#2250C2214yes—
63#2249C2214yescomplemented
64#2248C2211yescharacteristic
65#2248C2211yescharacteristic
66#2248C2211yescharacteristic
67#2248C2211yescharacteristic
68#2248C2211yescharacteristic, complemented
69#2247C2211yescharacteristic, complemented
70#2247C2211yescharacteristic, complemented
71#2246C2211yescharacteristic
72#2246C2211yescharacteristic
73#2241C2211yescharacteristic, complemented
74#2241C2211yescharacteristic, complemented
75#2241C2211yescharacteristic, complemented
76#2240C2211yescharacteristic
77#2240C2211yescharacteristic
78#2240C2211yescharacteristic, complemented
79#2219C2214yes—
80#2218C2214yescomplemented
81#2217C2214yescomplemented
82#2211C2214yescomplemented
83#2211C2214yescomplemented
84#2210C2214yescomplemented
85#2210C2214yescomplemented
86#2208C2214yescomplemented
87#2207C2214yes—
88#2189C2214yes—
89#2189C2214yescomplemented
90#2187C2214yes—
91#2186C2214yescomplemented
92#2186C2214yescomplemented
93#2185C2214yescomplemented
94#2183C2212yescomplemented
95#2177C2214yescomplemented
96#2176C2214yescomplemented
97C4×SD32C2214yescomplemented
98#2169C2212yes—
99#2168C2212yes—
100#2168C2212yescomplemented
101#2162C2211yescharacteristic
102#2162C2211yescharacteristic, complemented
103#2162C2211yescharacteristic, complemented
104C4×M32C2211yescharacteristic
105C4×M32C2211yescharacteristic, complemented
106C2×C4×C16C2211yescharacteristic, complemented
107C2×#135—21no—
108C2×#135—21no—
109C2×#135—21no—
110C2×#135—21no—
111C2×#135C2312yes—
112C2×#135C2312yes—
113C2×#135C2312yes—
114C2×#135C2312yes—
115C22×Q16—21no—
116C22×Q16C2312yes—
117C22×D8—21no—
118C22×D8C2312yes—
119#559—22no—
120#559—41no—
121#556—22no—
122#555—41no—
123#554—41no—
124#553—41no—
125#553—41no—
126#550—22no—
127#550—41no—
128#548—22no—
129#548—22no—
130#547—22no—
131#546—22no—
132#546—22no—
133#546—41no—
134#546—41no—
135#542—41no—
136#542—41no—
137#540—41no—
138#540—41no—
139#537—41no—
140#535—41no—
141#533—21no—
142#533—21no—
143#533—21no—
144#532—21no—
145#532—21no—
146#532—21no—
147#532—21no—
148#532—21no—
149#532—21no—
150#532—21no—
151C2×C4⋊Q8—21no—
152C2×#127—21no—
153#520—41no—
154#518—41no—
155C4×#41D411yescharacteristic
156#510—48no—
157#509—48no—
158#508—48no—
159C2×Q32C2314yes—
160C2×Q32C2314yes—
161C2×SD32C2314yes—
162C2×SD32C2314yes—
163C2×SD32C2314yes—
164C2×SD32C2314yes—
165C2×SD32C2314yes—
166C2×D16C2314yes—
167C2×D16C2314yes—
168C2×M32C2312yes—
169C2×M32C2312yes—
170C22×C16C2312yes—
171#500C2311yescharacteristic
172#500C2311yescharacteristic
173#495—21no—
174#495—21no—
175#495—21no—
176#495—21no—
177#495C2312yes—
178#495C2312yes—
179#495C2312yes—
180#495C2312yes—
181#494—21no—
182#494—21no—
183#494C2312yes—
184#494C2311yescharacteristic
185#494C2311yescharacteristic
186#494C2311yescharacteristic
187#493—21no—
188#493—21no—
189#493C2312yes—
190#493C2311yescharacteristic
191#493C2311yescharacteristic
192#493C2311yescharacteristic
193#492—21no—
194#492—21no—
195#492—21no—
196#492—21no—
197#487—21no—
198#487—21no—
199#487—21no—
200#486—21no—
201#486—21no—
202#486—21no—
203#467—21no—
204#467—21no—
205#467—21no—
206#467C2312yes—
207#467C2312yes—
208#467C2312yes—
209#466—21no—
210#466—21no—
211#466—21no—
212#466C2312yes—
213#466C2312yes—
214#466C2312yes—
215#464—22no—
216#464—22no—
217#464—22no—
218#464—22no—
219#463—22no—
220#463—22no—
221#463—22no—
222#463—22no—
223#461—22no—
224#461—22no—
225#460—22no—
226#460—22no—
227#452—22no—
228#452—22no—
229#452—22no—
230#452—22no—
231#450—22no—
232#450—22no—
233#449—22no—
234#449—22no—
235#449—22no—
236#449—22no—
237#448—22no—
238#448—22no—
239C8×Q8D411yescharacteristic
240C8×Q8C2311yescharacteristic
241C4×Q16—21no—
242C4×Q16—21no—
243C4×Q16—21no—
244C4×Q16C2312yes—
245C4×Q16C2312yes—
246C4×Q16C2312yes—
247C4×D8—21no—
248C4×D8—21no—
249C4×D8—21no—
250C4×D8C2312yes—
251C4×D8C2312yes—
252C4×D8C2312yes—
253C8×D4D411yescharacteristic
254C8×D4D411yescharacteristic
255C8×D4D411yescharacteristic
256C8×D4C2311yescharacteristic
257C8×D4C2311yescharacteristic
258C8×D4C2311yescharacteristic
259#431D411yescharacteristic
260#431D411yescharacteristic
261#431D411yescharacteristic
262C2×C4×C8C2311yescharacteristic
263C2×C4×C8C2311yescharacteristic
264C2×C4×C8C2311yescharacteristic
265#367C2314yes—
266C4⋊C16C2312yes—
267C4⋊C16C2312yes—
268C4⋊C16C2312yes—
269#358C2314yes—
270#358C2314yes—
271#358C2314yes—
272#357C2314yes—
273#357C2314yes—
274#357C2314yes—
275C22⋊C16C2312yes—
276C22⋊C16C2312yes—
277C22⋊C16C2312yes—
278#346C2312yes—
279#346C2312yes—
280C4×C16C2311yescharacteristic
281C4×C16C2311yescharacteristic
282C4×C16C2312yes—
283C4×C16C2311yescharacteristic
284C4×C16C2311yescharacteristic
285C2×#41—22no—
286C2×#41—22no—
287C2×#41—22no—
288C2×#41—22no—
289C2×#41—41no—
290C2×#41—41no—
291C2×#41—41no—
292C2×#41D811yescharacteristic
293C22×Q8—22no—
294C22×D4—22no—
295C22×D4—41no—
296C22×D4—41no—
297#135—44no—
298#135—44no—
299#135—44no—
300#135—44no—
301#135—82no—
302#135—82no—
303#135—82no—
304#135—82no—
305C2×Q16—21no—
306C2×Q16—21no—
307C2×Q16—21no—
308C2×Q16—22no—
309C2×Q16—22no—
310C2×Q16—44no—
311C2×Q16—82no—
312C2×Q16C2412yes—
313C2×Q16C2412yes—
314C2×Q16C2412yes—
315C2×SD16—22no—
316C2×SD16—22no—
317C2×SD16—22no—
318C2×SD16—22no—
319C2×SD16—22no—
320C2×SD16—22no—
321C2×SD16—22no—
322C2×SD16—22no—
323C2×D8—21no—
324C2×D8—21no—
325C2×D8—21no—
326C2×D8—22no—
327C2×D8—22no—
328C2×D8—44no—
329C2×D8—82no—
330C2×D8C2412yes—
331C2×D8C2412yes—
332C2×D8C2412yes—
333C22×C8C2×D411yescharacteristic
334C22×C8C2×D411yescharacteristic
335C22×C8C2×D411yescharacteristic
336C22×C8C2411yescharacteristic
337C22×C8C2411yescharacteristic
338C22×C8C2411yescharacteristic
339C4⋊Q8—21no—
340C4⋊Q8—21no—
341C4⋊Q8—21no—
342C4⋊Q8—21no—
343C4⋊Q8—22no—
344C4⋊Q8—21no—
345C4⋊Q8—41no—
346C4⋊Q8—41no—
347#127—21no—
348#127—21no—
349#127—22no—
350#127—21no—
351#127—42no—
352#127—41no—
353#127—41no—
354#126—42no—
355#126—42no—
356#125—41no—
357#125—41no—
358#125—41no—
359#124—22no—
360#124—22no—
361#124—22no—
362#124—22no—
363#124—42no—
364#124—42no—
365#124—42no—
366#124—41no—
367#124—41no—
368#124—41no—
369#123—42no—
370#123—42no—
371#123—42no—
372#123—42no—
373#123—42no—
374#123—42no—
375C22⋊Q8—22no—
376C22⋊Q8—22no—
377C22⋊Q8—22no—
378C22⋊Q8—42no—
379C22⋊Q8—41no—
380C22⋊Q8—41no—
381C22⋊Q8—41no—
382C22⋊Q8—42no—
383C22⋊Q8—42no—
384#121—22no—
385#121—22no—
386#121—22no—
387#121—42no—
388#121—42no—
389#121—42no—
390#121—41no—
391#121—41no—
392#121—41no—
393#121—41no—
394#121—41no—
395#121—41no—
396#121—41no—
397#121—41no—
398#121—41no—
399#121—41no—
400#121—41no—
401#121—42no—
402#121—42no—
403#121—42no—
404#121—42no—
405#120—42no—
406#120—42no—
407C4×Q8—22no—
408C4×Q8—22no—
409C4×Q8—22no—
410C4×Q8—41no—
411C4×Q8—41no—
412C4×Q8—41no—
413C4×Q8D811yescharacteristic
414C4×Q8C2×D411yescharacteristic
415C4×D4—22no—
416C4×D4—22no—
417C4×D4—22no—
418C4×D4—42no—
419C4×D4—42no—
420C4×D4—42no—
421C4×D4—42no—
422C4×D4—41no—
423C4×D4—41no—
424C4×D4—41no—
425C4×D4—41no—
426C4×D4—41no—
427C4×D4—41no—
428C4×D4—41no—
429C4×D4—41no—
430C4×D4—41no—
431C4×D4—41no—
432C4×D4—41no—
433C4×D4D811yescharacteristic
434C4×D4D811yescharacteristic
435C4×D4D811yescharacteristic
436C4×D4C2×D411yescharacteristic
437C4×D4C2×D411yescharacteristic
438C4×D4C2×D411yescharacteristic
439#117—41no—
440#117—41no—
441#117—41no—
442#117—42no—
443#117D811yescharacteristic
444#117D811yescharacteristic
445#117D811yescharacteristic
446C2×C4⋊C4—41no—
447C2×C4⋊C4—41no—
448C2×C4⋊C4—42no—
449C2×C22⋊C4—42no—
450C2×C22⋊C4—42no—
451C2×C42C2×D411yescharacteristic
452C2×C42C2×D411yescharacteristic
453C2×C42C2×D411yescharacteristic
454Q32—28no—
455Q32—44no—
456SD32—28no—
457SD32—44no—
458SD32—44no—
459SD32—44no—
460SD32—44no—
461D16—28no—
462D16—44no—
463M32—24no—
464M32—24no—
465C2×C16—24no—
466C2×C16C2412yes—
467C2×C16C2412yes—
468C2×C16C2412yes—
469C2×C16C2412yes—
470#107—21no—
471#107—21no—
472#107C2412yes—
473#107C2412yes—
474C4⋊C8C2×D411yescharacteristic
475C4⋊C8C2×D411yescharacteristic
476C4⋊C8C2×D411yescharacteristic
477C4⋊C8C2×D411yescharacteristic
478C4⋊C8C2×D411yescharacteristic
479C4⋊C8C2×D411yescharacteristic
480#103—22no—
481#103—22no—
482#103—22no—
483#103—22no—
484#103—22no—
485#103—22no—
486#102—22no—
487#102—22no—
488#102—22no—
489#102—22no—
490#102—22no—
491#102—22no—
492C22⋊C8C2×D411yescharacteristic
493C22⋊C8C2×D411yescharacteristic
494C22⋊C8C2×D411yescharacteristic
495C22⋊C8C2×D411yescharacteristic
496C22⋊C8C2×D411yescharacteristic
497C22⋊C8C2×D411yescharacteristic
498C4×C8C2×D411yescharacteristic
499C4×C8C2×D411yescharacteristic
500C4×C8C2×D411yescharacteristic
501C4×C8C2×D411yescharacteristic
502C4×C8C2×D411yescharacteristic
503C4×C8C2×D411yescharacteristic
504C4×C8C2411yescharacteristic
505C4×C8C2411yescharacteristic
506C4×C8C2411yescharacteristic
507C4×C8C2411yescharacteristic
508C24—42no—
509#41—42no—
510#41—84no—
511#41—82no—
512#41—82no—
513#41—82no—
514#41—82no—
515#41—82no—
516#41—82no—
517#41—82no—
518#41—82no—
519#41—162no—
520#41—162no—
521C2×Q8—22no—
522C2×Q8—22no—
523C2×Q8—22no—
524C2×Q8—41no—
525C2×Q8—41no—
526C2×Q8—42no—
527C2×Q8—82no—
528C2×Q8—82no—
529C2×Q8C2×D811yescharacteristic
530C2×D4—22no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—42no—
534C2×D4—42no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—42no—
538C2×D4—42no—
539C2×D4—42no—
540C2×D4—41no—
541C2×D4—41no—
542C2×D4—41no—
543C2×D4—41no—
544C2×D4—42no—
545C2×D4—41no—
546C2×D4—41no—
547C2×D4—42no—
548C2×D4—42no—
549C2×D4—82no—
550C2×D4—82no—
551C2×D4—84no—
552C2×D4—162no—
553C2×D4C2×D811yescharacteristic
554C2×D4C2×D811yescharacteristic
555C2×D4C2×D811yescharacteristic
556C22×C4—42no—
557C22×C4—42no—
558C22×C4—42no—
559C22×C4—42no—
560C22×C4—42no—
561C22×C4—42no—
562C22×C4—42no—
563C22×C4—42no—
564C22×C4C2×D811yescharacteristic
565C22×C4C2×D811yescharacteristic
566C22×C4C2×D811yescharacteristic
567C22×C4C2×D811yescharacteristic
568C22×C4C2×D811yescharacteristic
569C22×C4C2×D811yescharacteristic
570C22×C4C22×D411yescharacteristic
571C22×C4C22×D411yescharacteristic
572C22×C4C22×D411yescharacteristic
573Q16—24no—
574Q16—24no—
575Q16—24no—
576Q16—42no—
577Q16—42no—
578Q16—42no—
579Q16—82no—
580Q16—82no—
581SD16—82no—
582SD16—82no—
583SD16—82no—
584SD16—82no—
585SD16—82no—
586SD16—82no—
587SD16—82no—
588SD16—82no—
589D8—24no—
590D8—24no—
591D8—24no—
592D8—42no—
593D8—42no—
594D8—42no—
595D8—82no—
596D8—82no—
597C2×C8—22no—
598C2×C8—22no—
599C2×C8—22no—
600C2×C8—22no—
601C2×C8—22no—
602C2×C8—22no—
603C2×C8C22×D411yescharacteristic
604C2×C8C22×D411yescharacteristic
605C2×C8C22×D411yescharacteristic
606C2×C8C22×D411yescharacteristic
607C2×C8C22×D411yescharacteristic
608C2×C8C22×D411yescharacteristic
609C2×C8C22×D411yescharacteristic
610C2×C8C2511yescharacteristic
611C4⋊C4—22no—
612C4⋊C4—22no—
613C4⋊C4—42no—
614C4⋊C4—41no—
615C4⋊C4—41no—
616C4⋊C4—41no—
617C4⋊C4—41no—
618C4⋊C4—42no—
619C4⋊C4—42no—
620C4⋊C4—42no—
621C4⋊C4—41no—
622C4⋊C4—41no—
623C4⋊C4—41no—
624C4⋊C4—41no—
625C4⋊C4—42no—
626C4⋊C4—42no—
627C4⋊C4—42no—
628C4⋊C4—42no—
629C4⋊C4C2×D811yescharacteristic
630C4⋊C4C2×D811yescharacteristic
631C4⋊C4C2×D811yescharacteristic
632C4⋊C4C2×D811yescharacteristic
633C4⋊C4C2×D811yescharacteristic
634C4⋊C4C2×D811yescharacteristic
635C22⋊C4—42no—
636C22⋊C4—42no—
637C22⋊C4—42no—
638C22⋊C4—42no—
639C22⋊C4—42no—
640C22⋊C4—42no—
641C22⋊C4—42no—
642C22⋊C4—42no—
643C22⋊C4—42no—
644C22⋊C4—42no—
645C22⋊C4—42no—
646C22⋊C4—42no—
647C22⋊C4—42no—
648C22⋊C4—42no—
649C22⋊C4—42no—
650C22⋊C4—42no—
651C22⋊C4—42no—
652C22⋊C4C2×D811yescharacteristic
653C22⋊C4C2×D811yescharacteristic
654C22⋊C4C2×D811yescharacteristic
655C22⋊C4C2×D811yescharacteristic
656C22⋊C4C2×D811yescharacteristic
657C22⋊C4C2×D811yescharacteristic
658C42—42no—
659C42—42no—
660C42—42no—
661C42C2×D811yescharacteristic
662C42C2×D811yescharacteristic
663C42C2×D811yescharacteristic
664C42C2×D811yescharacteristic
665C42C2×D811yescharacteristic
666C42C2×D811yescharacteristic
667C42C22×D411yescharacteristic
668C42C22×D411yescharacteristic
669C42C22×D411yescharacteristic
670C42C22×D411yescharacteristic
671C16—22no—
672C16—22no—
673C16—22no—
674C16H(5,𝔽2)14yes—
675C23—42no—
676C23—42no—
677C23—42no—
678C23—84no—
679C23—162no—
680C23—162no—
681C23C22×D811yescharacteristic
682C23C22×D811yescharacteristic
683C23C22×D811yescharacteristic
684Q8—41no—
685Q8—42no—
686Q8—42no—
687Q8—42no—
688Q8—42no—
689Q8—42no—
690Q8—42no—
691Q8—82no—
692Q8—82no—
693Q8—162no—
694D4—41no—
695D4—41no—
696D4—41no—
697D4—42no—
698D4—42no—
699D4—42no—
700D4—42no—
701D4—42no—
702D4—42no—
703D4—84no—
704D4—84no—
705D4—82no—
706D4—82no—
707D4—82no—
708D4—82no—
709D4—82no—
710D4—82no—
711D4—162no—
712D4—162no—
713D4—162no—
714D4—162no—
715D4—162no—
716D4—162no—
717D4—162no—
718D4—162no—
719C2×C4—22no—
720C2×C4—22no—
721C2×C4—22no—
722C2×C4—22no—
723C2×C4—22no—
724C2×C4—22no—
725C2×C4—21no—
726C2×C4—21no—
727C2×C4—21no—
728C2×C4—21no—
729C2×C4—21no—
730C2×C4—21no—
731C2×C4—42no—
732C2×C4—42no—
733C2×C4—42no—
734C2×C4—42no—
735C2×C4—42no—
736C2×C4—84no—
737C2×C4—162no—
738C2×C4—162no—
739C2×C4—162no—
740C2×C4—162no—
741C2×C4—162no—
742C2×C4—162no—
743C2×C4—162no—
744C2×C4C22×D811yescharacteristic
745C2×C4C22×D811yescharacteristic
746C2×C4C22×D811yescharacteristic
747C2×C4C22×D811yescharacteristic
748C2×C4C22×D811yescharacteristic
749C2×C4C22×D811yescharacteristic
750C2×C4C22×D811yescharacteristic
751C2×C4C22×D811yescharacteristic
752C2×C4C22×D811yescharacteristic
753C2×C4C22×D811yescharacteristic
754C2×C4C22×D811yescharacteristic
755C2×C4C23×D411yescharacteristic
756C8—21no—
757C8—21no—
758C8—21no—
759C8—21no—
760C8—21no—
761C8—21no—
762C8#57612yes—
763C8C2×H(5,𝔽2)12yes—
764C22—21no—
765C22—21no—
766C22—21no—
767C22—21no—
768C22—21no—
769C22—21no—
770C22—21no—
771C22—21no—
772C22—21no—
773C22—82no—
774C22—82no—
775C22—82no—
776C22—82no—
777C22—82no—
778C22—82no—
779C22—82no—
780C22—82no—
781C22—82no—
782C22—324no—
783C22C23×D811yescharacteristic
784C4—21no—
785C4—21no—
786C4—21no—
787C4—21no—
788C4—21no—
789C4—21no—
790C4—21no—
791C4—21no—
792C4—21no—
793C4—82no—
794C4—82no—
795C4—82no—
796C4—82no—
797C4—82no—
798C4#341412yes—
799C4#341612yes—
800C4#349811yescharacteristic
801C4C2×#57611yescharacteristic
802C2—41no—
803C2—41no—
804C2—41no—
805C2—162no—
806C2—162no—
807C2—162no—
808C2#6241511yescharacteristic
809C2C2×#341411yescharacteristic
810C2C2×#341611yescharacteristic
subgroupG/H
center, socleC22C23×D8
commutator, Frattini, cosocleC2×C8C25
LCSG ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C4×#41 ◁ C8×#41 ◁ G
LECSG ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62418C2semidirect
2. #62417C2semidirect
3. #33968C2semidirect
4. #33841C2semidirect
5. #33837C2semidirect
6. #33833C2semidirect
7. #33776C2semidirect
8. #33776C2semidirect
9. #33774C2semidirect
10. #33773C2semidirect
11. #33773C2semidirect
12. #33772C2semidirect
13. #33749C2semidirect
14. #33748C2semidirect
15. #33736C2semidirect
16. #33718C2semidirect
17. #33717C2semidirect
18. #33713C2semidirect
19. #33479C2semidirect
22. C2×#510C22semidirect
24. C2×#508C22semidirect
28. #3393C22semidirect
34. #3285C22semidirect
49. #3170C22semidirect
52. #3169C22semidirect
56. #3147C22semidirect
57. C2×#494C22semidirect
60. #2254C22semidirect
61. #2251C22semidirect
63. #2249C22semidirect
68. #2248C22semidirect
69. #2247C22semidirect
70. #2247C22semidirect
73. #2241C22semidirect
74. #2241C22semidirect
75. #2241C22semidirect
78. #2240C22semidirect
80. #2218C22semidirect
81. #2217C22semidirect
82. #2211C22semidirect
83. #2211C22semidirect
84. #2210C22semidirect
85. #2210C22semidirect
86. #2208C22semidirect
89. #2189C22semidirect
91. #2186C22semidirect
92. #2186C22semidirect
93. #2185C22semidirect
94. #2183C22semidirect
95. #2177C22semidirect
96. #2176C22semidirect
97. C4×SD32C22semidirect
100. #2168C22semidirect
102. #2162C22semidirect
103. #2162C22semidirect
105. C4×M32C22semidirect
106. C2×C4×C16C22semidirect

Maximal subgroups

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

subgroupindex
#624182
#624172
#339682
#338412
#338372
#338332
#337762
#337742
#337732
#337722
#337492
#337482
#337362
#337182
#337172
#337132
#334792