Finite Group Databasebeta

← #7625105

Subgroups — #7625105

Order 512.

1275 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62473C211yesmaximal, characteristic, complemented
2#62417C211yesmaximal, characteristic
3#33938C214yesmaximal, complemented
4#33890C214yesmaximal, complemented
5#33884C214yesmaximal, complemented
6#33878C214yesmaximal, complemented
7#33797C211yesmaximal, characteristic, complemented
8#33794C211yesmaximal, characteristic, complemented
9#33793C211yesmaximal, characteristic, complemented
10#33776C211yesmaximal, characteristic, complemented
11#33776C211yesmaximal, characteristic, complemented
12#33774C211yesmaximal, characteristic, complemented
13#33751C211yesmaximal, characteristic, complemented
14#33749C211yesmaximal, characteristic, complemented
15#33736C211yesmaximal, characteristic, complemented
16#33707C211yesmaximal, characteristic, complemented
17#33704C211yesmaximal, characteristic, complemented
18#33697C211yesmaximal, characteristic, complemented
19#33479C211yesmaximal, characteristic, complemented
20#3509—21no—
21#3508—21no—
22#3396—21no—
23#3396C2212yes—
24#3383—21no—
25#3383C2212yescomplemented
26#3342—21no—
27#3342C2212yes—
28#3336—21no—
29#3336—21no—
30#3336C2212yes—
31#3336C2212yescomplemented
32#3287—21no—
33#3287C2212yes—
34#3280—21no—
35#3280—21no—
36#3280C2212yes—
37#3280C2212yes—
38#3231—21no—
39#3231—21no—
40#3229—21no—
41#3208—21no—
42#3207—21no—
43#3207—21no—
44#3170C2211yescharacteristic
45#3170C2211yescharacteristic
46#3170C2211yescharacteristic, complemented
47#3170C2211yescharacteristic, complemented
48#3169C2211yescharacteristic
49#3169C2211yescharacteristic
50#3160C2211yescharacteristic
51#3160C2211yescharacteristic, complemented
52C2×#500C2211yescharacteristic, complemented
53#3147C2211yescharacteristic
54#3147C2211yescharacteristic
55C2×#493C2211yescharacteristic
56C8×#41C2211yescharacteristic
57#2254C2211yescharacteristic, complemented
58#2254C2211yescharacteristic, complemented
59#2252C2211yescharacteristic, complemented
60#2248C2211yescharacteristic
61#2248C2211yescharacteristic
62#2247C2211yescharacteristic, complemented
63#2244C2214yes—
64#2243C2214yescomplemented
65#2242C2214yescomplemented
66#2241C2211yescharacteristic, complemented
67#2241C2211yescharacteristic, complemented
68#2241C2211yescharacteristic, complemented
69#2241C2211yescharacteristic, complemented
70#2240C2211yescharacteristic
71#2240C2211yescharacteristic
72#2240C2211yescharacteristic
73#2240C2211yescharacteristic
74#2240C2211yescharacteristic
75#2240C2211yescharacteristic
76#2237C2214yes—
77#2234C2214yescomplemented
78#2233C2214yescomplemented
79#2229C2214yescomplemented
80#2228C2214yescomplemented
81#2226C2214yescomplemented
82#2220C2214yescomplemented
83#2219C2214yes—
84#2217C2214yescomplemented
85#2211C2214yescomplemented
86#2211C2214yescomplemented
87#2207C2214yes—
88#2189C2214yescomplemented
89#2189C2214yescomplemented
90#2187C2214yes—
91#2183C2212yescomplemented
92#2176C2214yescomplemented
93#2175C2214yescomplemented
94C4×SD32C2214yescomplemented
95#2169C2212yes—
96#2168C2212yes—
97#2168C2212yescomplemented
98#2162C2211yescharacteristic
99#2162C2211yescharacteristic, complemented
100#2162C2211yescharacteristic, complemented
101#2140C2214yes—
102#2139C2214yescomplemented
103#2138C2214yescomplemented
104C4×M32C2211yescharacteristic
105C4×M32C2211yescharacteristic, complemented
106C2×C4×C16C2211yescharacteristic, complemented
107C2×#135—21no—
108C2×#135—21no—
109C2×#135C2312yes—
110C2×#135C2312yes—
111C22×D8—21no—
112C22×D8C2312yes—
113#559—22no—
114#559—41no—
115#557—22no—
116#557—41no—
117#556—22no—
118#556—41no—
119#552—22no—
120#552—22no—
121#552—41no—
122#552—41no—
123#550—22no—
124#550—41no—
125#546—22no—
126#546—22no—
127#546—41no—
128#546—41no—
129#541—41no—
130#541—41no—
131#540—41no—
132#540—41no—
133#536—41no—
134#535—41no—
135#533—21no—
136#533—21no—
137#533—21no—
138#533—21no—
139#533—21no—
140#533—21no—
141#532—21no—
142#532—21no—
143#532—21no—
144#532—21no—
145C2×C4⋊Q8—21no—
146C2×#127—21no—
147#519—41no—
148#518—41no—
149C4×#41D411yescharacteristic
150C2×Q32C2314yes—
151C2×SD32C2314yes—
152C2×SD32C2314yes—
153C2×M32C2312yes—
154C2×M32C2312yes—
155C22×C16C2312yes—
156#500—21no—
157#500—21no—
158#500C2312yes—
159#500C2311yescharacteristic
160#500C2311yescharacteristic
161#500C2311yescharacteristic
162#500C2311yescharacteristic
163#499—21no—
164#499—21no—
165#499C2312yes—
166#499C2312yes—
167#498—21no—
168#498—21no—
169#495—21no—
170#495—21no—
171#495C2312yes—
172#495C2312yes—
173#494C2311yescharacteristic
174#494C2311yescharacteristic
175#493—21no—
176#493—21no—
177#493C2312yes—
178#493C2311yescharacteristic
179#493C2311yescharacteristic
180#492—21no—
181#492—21no—
182#487—21no—
183#487—21no—
184#487—21no—
185#487—21no—
186#486—21no—
187#486—21no—
188#485—22no—
189#485—22no—
190#485—22no—
191#485—22no—
192#483—22no—
193#483—22no—
194#479—22no—
195#479—22no—
196#479—22no—
197#479—22no—
198#475—22no—
199#475—22no—
200#467—21no—
201#467—21no—
202#467—21no—
203#467—21no—
204#467C2312yes—
205#467C2312yes—
206#467C2312yes—
207#467C2312yes—
208#466—21no—
209#466—21no—
210#466C2312yes—
211#466C2312yes—
212#463—22no—
213#463—22no—
214#463—22no—
215#463—22no—
216#460—22no—
217#460—22no—
218#450—22no—
219#450—22no—
220#449—22no—
221#449—22no—
222#449—22no—
223#449—22no—
224C8×Q8D411yescharacteristic
225C8×Q8C2311yescharacteristic
226C4×Q16—21no—
227C4×Q16—21no—
228C4×Q16—21no—
229C4×Q16—21no—
230C4×Q16C2312yes—
231C4×Q16C2312yes—
232C4×Q16C2312yes—
233C4×Q16C2312yes—
234C4×D8—21no—
235C4×D8—21no—
236C4×D8C2312yes—
237C4×D8C2312yes—
238C8×D4D411yescharacteristic
239C8×D4D411yescharacteristic
240C8×D4D411yescharacteristic
241C8×D4C2311yescharacteristic
242C8×D4C2311yescharacteristic
243C8×D4C2311yescharacteristic
244#431D411yescharacteristic
245#431D411yescharacteristic
246#431D411yescharacteristic
247#427—21no—
248#427—21no—
249#427C2312yes—
250#427C2312yes—
251C2×#107—21no—
252C2×#107C2312yes—
253C2×C4×C8C2311yescharacteristic
254C2×C4×C8C2311yescharacteristic
255C2×C4×C8C2311yescharacteristic
256#367C2314yes—
257#367C2314yes—
258#366C2314yes—
259C4⋊C16C2312yes—
260C4⋊C16C2312yes—
261C4⋊C16C2312yes—
262#358C2314yes—
263#358C2314yes—
264#358C2314yes—
265#358C2314yes—
266#357C2314yes—
267#357C2314yes—
268#357C2314yes—
269#357C2314yes—
270#357C2314yes—
271#357C2314yes—
272C22⋊C16C2312yes—
273C22⋊C16C2312yes—
274C22⋊C16C2312yes—
275#346C2312yes—
276#346C2312yes—
277C4×C16C2311yescharacteristic
278C4×C16C2311yescharacteristic
279C4×C16C2312yes—
280C4×C16C2311yescharacteristic
281C4×C16C2311yescharacteristic
282C2×#41—22no—
283C2×#41—22no—
284C2×#41—41no—
285C2×#41—41no—
286C2×#41D811yescharacteristic
287C22×Q8—41no—
288C22×D4—22no—
289C22×D4—41no—
290C22×D4—41no—
291#135—44no—
292#135—44no—
293#135—82no—
294#135—82no—
295C2×Q16—21no—
296C2×Q16—21no—
297C2×Q16C2412yes—
298C2×Q16C2412yes—
299C2×SD16—22no—
300C2×SD16—22no—
301C2×SD16—22no—
302C2×SD16—22no—
303C2×D8—21no—
304C2×D8—21no—
305C2×D8—22no—
306C2×D8—22no—
307C2×D8—44no—
308C2×D8—82no—
309C2×D8C2412yes—
310C2×D8C2412yes—
311C22×C8C2×D411yescharacteristic
312C22×C8C2×D411yescharacteristic
313C22×C8C2×D411yescharacteristic
314C22×C8C2411yescharacteristic
315C22×C8C2411yescharacteristic
316C22×C8C2411yescharacteristic
317C4⋊Q8—21no—
318C4⋊Q8—21no—
319C4⋊Q8—22no—
320C4⋊Q8—21no—
321C4⋊Q8—21no—
322C4⋊Q8—21no—
323C4⋊Q8—21no—
324C4⋊Q8—42no—
325C4⋊Q8—41no—
326C4⋊Q8—41no—
327#127—21no—
328#127—21no—
329#127—22no—
330#127—42no—
331#127—41no—
332#127—41no—
333#126—42no—
334#126—42no—
335#126—42no—
336#126—42no—
337#125—22no—
338#125—22no—
339#125—42no—
340#125—42no—
341#125—42no—
342#125—42no—
343#125—41no—
344#125—41no—
345#125—41no—
346#125—41no—
347#124—22no—
348#124—22no—
349#124—42no—
350#124—42no—
351#124—41no—
352#124—41no—
353#123—42no—
354#123—42no—
355#123—42no—
356#123—42no—
357#123—42no—
358#123—42no—
359C22⋊Q8—22no—
360C22⋊Q8—22no—
361C22⋊Q8—22no—
362C22⋊Q8—22no—
363C22⋊Q8—41no—
364C22⋊Q8—41no—
365C22⋊Q8—41no—
366C22⋊Q8—41no—
367C22⋊Q8—41no—
368C22⋊Q8—41no—
369C22⋊Q8—41no—
370C22⋊Q8—41no—
371#121—22no—
372#121—22no—
373#121—41no—
374#121—41no—
375#121—41no—
376#121—41no—
377#121—41no—
378#121—41no—
379#121—42no—
380#121—42no—
381#121—42no—
382#121—42no—
383#120—42no—
384#120—42no—
385C4×Q8—22no—
386C4×Q8—22no—
387C4×Q8—22no—
388C4×Q8—22no—
389C4×Q8—42no—
390C4×Q8—42no—
391C4×Q8—41no—
392C4×Q8—41no—
393C4×Q8—41no—
394C4×Q8—41no—
395C4×Q8—41no—
396C4×Q8—41no—
397C4×Q8—41no—
398C4×Q8—41no—
399C4×Q8D811yescharacteristic
400C4×Q8C2×D411yescharacteristic
401C4×D4—22no—
402C4×D4—22no—
403C4×D4—42no—
404C4×D4—42no—
405C4×D4—41no—
406C4×D4—41no—
407C4×D4—41no—
408C4×D4—41no—
409C4×D4—41no—
410C4×D4—41no—
411C4×D4D811yescharacteristic
412C4×D4D811yescharacteristic
413C4×D4D811yescharacteristic
414C4×D4C2×D411yescharacteristic
415C4×D4C2×D411yescharacteristic
416C4×D4C2×D411yescharacteristic
417#117—22no—
418#117—22no—
419#117—41no—
420#117—41no—
421#117—41no—
422#117—41no—
423#117—42no—
424#117—42no—
425#117D811yescharacteristic
426#117D811yescharacteristic
427#117D811yescharacteristic
428C2×C4⋊C4—22no—
429C2×C4⋊C4—41no—
430C2×C22⋊C4—42no—
431C2×C22⋊C4—42no—
432C2×C42C2×D411yescharacteristic
433C2×C42C2×D411yescharacteristic
434C2×C42C2×D411yescharacteristic
435Q32—44no—
436SD32—44no—
437SD32—44no—
438M32—42no—
439M32—42no—
440C2×C16—42no—
441C2×C16C2412yes—
442C2×C16C2412yes—
443C2×C16C2412yes—
444C2×C16C2412yes—
445#107—21no—
446#107—21no—
447#107—22no—
448#107—22no—
449#107—21no—
450#107—21no—
451#107C2412yes—
452#107C2412yes—
453#107C2412yes—
454#107C2412yes—
455#106—22no—
456#106—22no—
457#106—22no—
458#106—22no—
459C4⋊C8C2×D411yescharacteristic
460C4⋊C8C2×D411yescharacteristic
461C4⋊C8C2×D411yescharacteristic
462C4⋊C8C2×D411yescharacteristic
463C4⋊C8C2×D411yescharacteristic
464C4⋊C8C2×D411yescharacteristic
465#103—22no—
466#103—22no—
467#103—22no—
468#103—22no—
469#103—22no—
470#103—22no—
471#103—22no—
472#103—22no—
473#102—22no—
474#102—22no—
475#102—22no—
476#102—22no—
477C22⋊C8C2×D411yescharacteristic
478C22⋊C8C2×D411yescharacteristic
479C22⋊C8C2×D411yescharacteristic
480C22⋊C8C2×D411yescharacteristic
481C22⋊C8C2×D411yescharacteristic
482C22⋊C8C2×D411yescharacteristic
483C4×C8C2×D411yescharacteristic
484C4×C8C2×D411yescharacteristic
485C4×C8C2×D411yescharacteristic
486C4×C8C2×D411yescharacteristic
487C4×C8C2×D411yescharacteristic
488C4×C8C2×D411yescharacteristic
489C4×C8C2411yescharacteristic
490C4×C8C2411yescharacteristic
491C4×C8C2411yescharacteristic
492C4×C8C2411yescharacteristic
493C24—42no—
494#41—42no—
495#41—82no—
496#41—82no—
497#41—82no—
498#41—82no—
499#41—162no—
500#41—162no—
501C2×Q8—22no—
502C2×Q8—22no—
503C2×Q8—41no—
504C2×Q8—41no—
505C2×Q8—41no—
506C2×Q8—42no—
507C2×Q8—41no—
508C2×Q8—84no—
509C2×Q8C2×D811yescharacteristic
510C2×D4—22no—
511C2×D4—22no—
512C2×D4—42no—
513C2×D4—42no—
514C2×D4—42no—
515C2×D4—42no—
516C2×D4—41no—
517C2×D4—41no—
518C2×D4—42no—
519C2×D4—41no—
520C2×D4—41no—
521C2×D4—42no—
522C2×D4—42no—
523C2×D4—82no—
524C2×D4—82no—
525C2×D4—84no—
526C2×D4—162no—
527C2×D4C2×D811yescharacteristic
528C2×D4C2×D811yescharacteristic
529C2×D4C2×D811yescharacteristic
530C22×C4—42no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—42no—
534C22×C4—42no—
535C22×C4C2×D811yescharacteristic
536C22×C4C2×D811yescharacteristic
537C22×C4C2×D811yescharacteristic
538C22×C4C2×D811yescharacteristic
539C22×C4C2×D811yescharacteristic
540C22×C4C2×D811yescharacteristic
541C22×C4C22×D411yescharacteristic
542C22×C4C22×D411yescharacteristic
543C22×C4C22×D411yescharacteristic
544Q16—24no—
545Q16—24no—
546Q16—42no—
547Q16—42no—
548SD16—82no—
549SD16—82no—
550SD16—82no—
551SD16—82no—
552D8—24no—
553D8—24no—
554D8—42no—
555D8—42no—
556D8—82no—
557D8—82no—
558C2×C8—22no—
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—22no—
562C2×C8—22no—
563C2×C8—22no—
564C2×C8C22×D411yescharacteristic
565C2×C8C22×D411yescharacteristic
566C2×C8C22×D411yescharacteristic
567C2×C8C22×D411yescharacteristic
568C2×C8C22×D411yescharacteristic
569C2×C8C22×D411yescharacteristic
570C2×C8C22×D411yescharacteristic
571C2×C8C2511yescharacteristic
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—42no—
577C4⋊C4—41no—
578C4⋊C4—41no—
579C4⋊C4—42no—
580C4⋊C4—41no—
581C4⋊C4—41no—
582C4⋊C4—41no—
583C4⋊C4—42no—
584C4⋊C4—42no—
585C4⋊C4—41no—
586C4⋊C4—41no—
587C4⋊C4—42no—
588C4⋊C4—42no—
589C4⋊C4—41no—
590C4⋊C4—42no—
591C4⋊C4—42no—
592C4⋊C4—42no—
593C4⋊C4—42no—
594C4⋊C4—42no—
595C4⋊C4—42no—
596C4⋊C4—42no—
597C4⋊C4—42no—
598C4⋊C4C2×D811yescharacteristic
599C4⋊C4C2×D811yescharacteristic
600C4⋊C4C2×D811yescharacteristic
601C4⋊C4C2×D811yescharacteristic
602C4⋊C4C2×D811yescharacteristic
603C4⋊C4C2×D811yescharacteristic
604C22⋊C4—42no—
605C22⋊C4—42no—
606C22⋊C4—42no—
607C22⋊C4—42no—
608C22⋊C4—42no—
609C22⋊C4—42no—
610C22⋊C4—42no—
611C22⋊C4—42no—
612C22⋊C4—42no—
613C22⋊C4—42no—
614C22⋊C4—42no—
615C22⋊C4—42no—
616C22⋊C4—42no—
617C22⋊C4—42no—
618C22⋊C4C2×D811yescharacteristic
619C22⋊C4C2×D811yescharacteristic
620C22⋊C4C2×D811yescharacteristic
621C22⋊C4C2×D811yescharacteristic
622C22⋊C4C2×D811yescharacteristic
623C22⋊C4C2×D811yescharacteristic
624C42—42no—
625C42—42no—
626C42—42no—
627C42—42no—
628C42—42no—
629C42—42no—
630C42C2×D811yescharacteristic
631C42C2×D811yescharacteristic
632C42C2×D811yescharacteristic
633C42C2×D811yescharacteristic
634C42C2×D811yescharacteristic
635C42C2×D811yescharacteristic
636C42C22×D411yescharacteristic
637C42C22×D411yescharacteristic
638C42C22×D411yescharacteristic
639C42C22×D411yescharacteristic
640C16—22no—
641C16—22no—
642C16—22no—
643C16—22no—
644C23—42no—
645C23—42no—
646C23—84no—
647C23—162no—
648C23—162no—
649C23C22×D811yescharacteristic
650C23C22×D811yescharacteristic
651C23C22×D811yescharacteristic
652Q8—41no—
653Q8—42no—
654Q8—42no—
655Q8—42no—
656Q8—42no—
657Q8—84no—
658Q8—82no—
659Q8—82no—
660Q8—82no—
661Q8—82no—
662D4—41no—
663D4—41no—
664D4—41no—
665D4—42no—
666D4—42no—
667D4—42no—
668D4—42no—
669D4—84no—
670D4—82no—
671D4—82no—
672D4—82no—
673D4—82no—
674D4—162no—
675D4—162no—
676D4—162no—
677D4—162no—
678D4—162no—
679D4—162no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—84no—
699C2×C4—162no—
700C2×C4—162no—
701C2×C4—162no—
702C2×C4—162no—
703C2×C4C22×D811yescharacteristic
704C2×C4C22×D811yescharacteristic
705C2×C4C22×D811yescharacteristic
706C2×C4C22×D811yescharacteristic
707C2×C4C22×D811yescharacteristic
708C2×C4C22×D811yescharacteristic
709C2×C4C22×D811yescharacteristic
710C2×C4C22×D811yescharacteristic
711C2×C4C22×D811yescharacteristic
712C2×C4C22×D811yescharacteristic
713C2×C4C22×D811yescharacteristic
714C2×C4C23×D411yescharacteristic
715C8—21no—
716C8—21no—
717C8—21no—
718C8—21no—
719C8—21no—
720C8—21no—
721C8#57712yes—
722C8#58512yes—
723C22—21no—
724C22—21no—
725C22—21no—
726C22—21no—
727C22—21no—
728C22—21no—
729C22—21no—
730C22—21no—
731C22—21no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—324no—
739C22C23×D811yescharacteristic
740C4—21no—
741C4—21no—
742C4—21no—
743C4—21no—
744C4—21no—
745C4—21no—
746C4—21no—
747C4—21no—
748C4—21no—
749C4—82no—
750C4—82no—
751C4—82no—
752C4—82no—
753C4—82no—
754C4—82no—
755C4#341412yes—
756C4#341612yes—
757C4#350011yescharacteristic
758C4C2×#57711yescharacteristic
759C2—41no—
760C2—41no—
761C2—41no—
762C2—162no—
763C2—162no—
764C2#6252911yescharacteristic
765C2C2×#341411yescharacteristic
766C2C2×#341611yescharacteristic
subgroupG/H
center, socleC22C23×D8
commutator, Frattini, cosocleC2×C8C25
prime radical#62417C2
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. #62473C2semidirect
3. #33938C2semidirect
4. #33890C2semidirect
5. #33884C2semidirect
6. #33878C2semidirect
7. #33797C2semidirect
8. #33794C2semidirect
9. #33793C2semidirect
10. #33776C2semidirect
11. #33776C2semidirect
12. #33774C2semidirect
13. #33751C2semidirect
14. #33749C2semidirect
15. #33736C2semidirect
16. #33707C2semidirect
17. #33704C2semidirect
18. #33697C2semidirect
19. #33479C2semidirect
25. #3383C22semidirect
31. #3336C22semidirect
46. #3170C22semidirect
47. #3170C22semidirect
51. #3160C22semidirect
52. C2×#500C22semidirect
57. #2254C22semidirect
58. #2254C22semidirect
59. #2252C22semidirect
62. #2247C22semidirect
64. #2243C22semidirect
65. #2242C22semidirect
66. #2241C22semidirect
67. #2241C22semidirect
68. #2241C22semidirect
69. #2241C22semidirect
77. #2234C22semidirect
78. #2233C22semidirect
79. #2229C22semidirect
80. #2228C22semidirect
81. #2226C22semidirect
82. #2220C22semidirect
84. #2217C22semidirect
85. #2211C22semidirect
86. #2211C22semidirect
88. #2189C22semidirect
89. #2189C22semidirect
91. #2183C22semidirect
92. #2176C22semidirect
93. #2175C22semidirect
94. C4×SD32C22semidirect
97. #2168C22semidirect
99. #2162C22semidirect
100. #2162C22semidirect
102. #2139C22semidirect
103. #2138C22semidirect
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
#624732
#624172
#339382
#338902
#338842
#338782
#337972
#337942
#337932
#337762
#337742
#337512
#337492
#337362
#337072
#337042
#336972
#334792