Finite Group Databasebeta

← #7623472

Subgroups — #7623472

Order 512.

1369 conjugacy classes of subgroups.

The subgroup lattice has 781 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60673C211yesmaximal, characteristic, complemented
2C2×#3168C211yesmaximal, characteristic, complemented
3#33822C214yesmaximal, complemented
4#33818C212yesmaximal, complemented
5#33817C212yesmaximal, complemented
6#33816C214yesmaximal, complemented
7#33814C212yesmaximal, complemented
8#33813C212yesmaximal, complemented
9#33630C212yesmaximal, complemented
10#33628C211yesmaximal, characteristic, complemented
11#33627C211yesmaximal, characteristic, complemented
12#33606C212yesmaximal, complemented
13#33605C212yesmaximal, complemented
14#33584C212yesmaximal, complemented
15#33581C211yesmaximal, characteristic, complemented
16#33580C211yesmaximal, characteristic, complemented
17C2×#2150C211yesmaximal, characteristic, complemented
18#3444—21no—
19C2×#529—21no—
20C2×#510C2212yes—
21C2×#509C2212yes—
22C22×M32C2212yes—
23#3170C2211yescharacteristic, complemented
24#3170C2211yescharacteristic, complemented
25#3169C2211yescharacteristic, complemented
26#3169C2211yescharacteristic, complemented
27#3168—21no—
28#3168—21no—
29#3168—21no—
30#3168—21no—
31#3168—21no—
32#3168—21no—
33#3168C2212yes—
34#3168C2212yes—
35#3168C2212yes—
36#3168C2212yes—
37#3168C2212yescomplemented
38#3168C2212yescomplemented
39#3167—21no—
40#3167—21no—
41#3160C2211yescharacteristic
42C2×#499C2211yescharacteristic
43#3147C2211yescharacteristic
44C2×#495C2211yescharacteristic
45#3131—21no—
46C2×#488—21no—
47#3050—21no—
48#3050C2212yes—
49C2×#467C2211yescharacteristic
50C2×#466C2211yescharacteristic
51C2×#465—21no—
52C4×#135—21no—
53C4×#135C2212yes—
54C2×C4×Q16C2211yescharacteristic
55C2×C4×SD16—21no—
56C2×C4×D8C2211yescharacteristic
57C22×C4×C8C2211yescharacteristic
58#2229C2214yescomplemented
59#2229C2214yescomplemented
60#2229C2214yescomplemented
61#2228C2214yescomplemented
62#2228C2214yescomplemented
63#2228C2214yescomplemented
64#2227C2212yescomplemented
65#2226C2212yescomplemented
66#2225C2212yescomplemented
67#2224C2212yescomplemented
68#2220C2214yes—
69#2220C2214yescomplemented
70#2219C2214yescomplemented
71#2218C2214yes—
72#2217C2214yes—
73#2217C2214yescomplemented
74#2216C2214yescomplemented
75#2215C2214yes—
76#2211C2214yescomplemented
77#2211C2214yescomplemented
78#2211C2214yescomplemented
79#2210C2214yescomplemented
80#2210C2214yescomplemented
81#2210C2214yescomplemented
82#2209C2212yescomplemented
83#2208C2212yescomplemented
84#2207C2212yescomplemented
85#2206C2212yescomplemented
86#2159C2212yes—
87#2159C2212yes—
88#2150C2211yescharacteristic
89#2150C2211yescharacteristic
90#2150C2212yes—
91#2150C2212yescomplemented
92#2150C2212yescomplemented
93C2×C4⋊C16C2212yescomplemented
94C2×C4⋊C16C2212yescomplemented
95#2141C2212yes—
96#2140C2212yes—
97#2139C2212yes—
98#2139C2212yes—
99C2×#135—21no—
100C2×#135C2312yes—
101C22×Q16C2311yescharacteristic
102C22×SD16—21no—
103C22×D8C2311yescharacteristic
104C23×C8D411yescharacteristic
105C23×C8C2311yescharacteristic
106#533—21no—
107#533—21no—
108#533—21no—
109#532—21no—
110#532—21no—
111#532—21no—
112#529—22no—
113#529—22no—
114#529—22no—
115#529—22no—
116#529—22no—
117#529—22no—
118#529—41no—
119#529—41no—
120#529—41no—
121#529—41no—
122#529—41no—
123#529—41no—
124#529—41no—
125#529—41no—
126C2×#126—41no—
127C2×#125—21no—
128C2×#124—21no—
129#525—22no—
130#525—41no—
131#525—41no—
132C2×#123—41no—
133C2×C22⋊Q8—21no—
134C2×#121—21no—
135C4×#41—22no—
136C4×#41—41no—
137C4×#41—41no—
138C2×C4×Q8—21no—
139C2×C4×D4—21no—
140C2×C4×D4—41no—
141C2×#117—41no—
142C22×C42D411yescharacteristic
143#510—44no—
144#509—44no—
145C2×Q32C2314yes—
146C2×SD32C2314yes—
147C2×SD32C2314yes—
148C2×D16C2314yes—
149C2×M32—44no—
150C2×M32C2312yes—
151C2×M32C2312yes—
152C2×M32C2314yes—
153C22×C16C2314yes—
154#500C2311yescharacteristic
155#500C2311yescharacteristic
156#499—21no—
157#499—21no—
158#499—21no—
159#499C2312yes—
160#499C2312yes—
161#499C2312yes—
162#498—21no—
163#495—21no—
164#495—21no—
165#495—21no—
166#495C2312yes—
167#495C2312yes—
168#495C2312yes—
169#494C2311yescharacteristic
170#493C2311yescharacteristic
171#492—21no—
172#488—22no—
173#488—22no—
174#488—22no—
175#488—22no—
176#488—22no—
177#488—22no—
178#487—21no—
179#487—21no—
180#486—21no—
181#486—21no—
182#467—21no—
183#467—21no—
184#467—21no—
185#467—21no—
186#467C2312yes—
187#467C2312yes—
188#467C2312yes—
189#467C2312yes—
190#466—21no—
191#466—21no—
192#466—21no—
193#466—21no—
194#466C2312yes—
195#466C2312yes—
196#466C2312yes—
197#466C2312yes—
198#465—22no—
199#465—22no—
200#465—22no—
201#465—22no—
202#465—22no—
203#465—22no—
204#465—22no—
205#465—22no—
206C4×Q16—21no—
207C4×Q16—21no—
208C4×Q16—21no—
209C4×Q16—21no—
210C4×Q16C2312yes—
211C4×Q16C2312yes—
212C4×Q16C2312yes—
213C4×Q16C2312yes—
214C4×SD16—22no—
215C4×SD16—22no—
216C4×SD16—22no—
217C4×SD16—22no—
218C4×SD16—22no—
219C4×SD16—22no—
220C4×SD16—22no—
221C4×SD16—22no—
222C4×D8—21no—
223C4×D8—21no—
224C4×D8—21no—
225C4×D8—21no—
226C4×D8C2312yes—
227C4×D8C2312yes—
228C4×D8C2312yes—
229C4×D8C2312yes—
230#427—21no—
231#427C2312yes—
232C2×#107C2311yescharacteristic
233C2×#107C2311yescharacteristic
234C2×#106—21no—
235#416—22no—
236#416—22no—
237C2×#103—21no—
238C2×#103—21no—
239C2×#102—21no—
240C2×#102—21no—
241C2×C4×C8D411yescharacteristic
242C2×C4×C8D411yescharacteristic
243C2×C4×C8D411yescharacteristic
244C2×C4×C8D411yescharacteristic
245C2×C4×C8D411yescharacteristic
246C2×C4×C8D411yescharacteristic
247C2×C4×C8C2311yescharacteristic
248C2×C4×C8C2311yescharacteristic
249C2×C4×C8C2311yescharacteristic
250C2×C4×C8C2311yescharacteristic
251C2×C4×C8C2311yescharacteristic
252C2×C4×C8C2311yescharacteristic
253#367C2314yes—
254#367C2314yes—
255#366C2314yes—
256#366C2314yes—
257C4⋊C16C2312yes—
258C4⋊C16C2312yes—
259C4⋊C16C2312yes—
260C4⋊C16C2314yes—
261C4⋊C16C2314yes—
262C4⋊C16C2312yes—
263#358C2314yes—
264#358C2314yes—
265#358C2314yes—
266#358C2314yes—
267#357C2314yes—
268#357C2314yes—
269#357C2314yes—
270#357C2314yes—
271C2×#41—22no—
272C2×#41—41no—
273C2×#41—41no—
274C22×Q8—21no—
275C22×D4—21no—
276C22×D4—41no—
277C23×C4—41no—
278C23×C4D811yescharacteristic
279C23×C4D811yescharacteristic
280C23×C4C2×D411yescharacteristic
281#135—24no—
282#135—24no—
283#135—44no—
284C2×Q16—21no—
285C2×Q16—21no—
286C2×Q16—22no—
287C2×Q16—22no—
288C2×Q16C2412yes—
289C2×Q16C2412yes—
290C2×SD16—22no—
291C2×SD16—22no—
292C2×SD16—22no—
293C2×SD16—22no—
294C2×SD16—44no—
295C2×D8—21no—
296C2×D8—21no—
297C2×D8—22no—
298C2×D8—22no—
299C2×D8C2412yes—
300C2×D8C2412yes—
301C22×C8—22no—
302C22×C8—22no—
303C22×C8—42no—
304C22×C8C2×D411yescharacteristic
305C22×C8C2×D411yescharacteristic
306C22×C8C2×D411yescharacteristic
307C22×C8C2×D411yescharacteristic
308C22×C8C2×D411yescharacteristic
309C22×C8C2×D411yescharacteristic
310C22×C8C2×D411yescharacteristic
311C22×C8C2×D411yescharacteristic
312C22×C8C2×D411yescharacteristic
313C22×C8C2411yescharacteristic
314C22×C8C2411yescharacteristic
315C22×C8C2411yescharacteristic
316C4⋊Q8—21no—
317C4⋊Q8—21no—
318C4⋊Q8—21no—
319#127—21no—
320#126—42no—
321#126—42no—
322#126—42no—
323#126—42no—
324#126—42no—
325#126—42no—
326#125—22no—
327#125—22no—
328#125—22no—
329#125—41no—
330#125—41no—
331#125—41no—
332#125—41no—
333#124—22no—
334#124—22no—
335#124—22no—
336#124—41no—
337#124—41no—
338#124—41no—
339#124—41no—
340#123—42no—
341#123—42no—
342#123—42no—
343#123—42no—
344#123—42no—
345#123—42no—
346#123—42no—
347C22⋊Q8—22no—
348C22⋊Q8—22no—
349C22⋊Q8—22no—
350C22⋊Q8—22no—
351C22⋊Q8—41no—
352C22⋊Q8—41no—
353C22⋊Q8—41no—
354C22⋊Q8—41no—
355C22⋊Q8—41no—
356C22⋊Q8—41no—
357#121—22no—
358#121—22no—
359#121—22no—
360#121—22no—
361#121—41no—
362#121—41no—
363#121—41no—
364#121—41no—
365#121—41no—
366#121—41no—
367#120—42no—
368C4×Q8—22no—
369C4×Q8—22no—
370C4×Q8—22no—
371C4×Q8—22no—
372C4×Q8—41no—
373C4×Q8—41no—
374C4×Q8—41no—
375C4×Q8—41no—
376C4×Q8—41no—
377C4×Q8—41no—
378C4×D4—22no—
379C4×D4—22no—
380C4×D4—22no—
381C4×D4—22no—
382C4×D4—42no—
383C4×D4—42no—
384C4×D4—42no—
385C4×D4—42no—
386C4×D4—42no—
387C4×D4—42no—
388C4×D4—42no—
389C4×D4—42no—
390C4×D4—42no—
391C4×D4—42no—
392C4×D4—41no—
393C4×D4—41no—
394C4×D4—41no—
395C4×D4—41no—
396C4×D4—41no—
397C4×D4—41no—
398#117—22no—
399#117—41no—
400#117—41no—
401#117—42no—
402#117—42no—
403#117—42no—
404#117—42no—
405#117—42no—
406#117—42no—
407#117—42no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—41no—
411C2×C4⋊C4—41no—
412C2×C4⋊C4—41no—
413C2×C4⋊C4—41no—
414C2×C22⋊C4—41no—
415C2×C22⋊C4—41no—
416C2×C22⋊C4—41no—
417C2×C22⋊C4—41no—
418C2×C22⋊C4—41no—
419C2×C42—41no—
420C2×C42—42no—
421C2×C42D811yescharacteristic
422C2×C42D811yescharacteristic
423C2×C42D811yescharacteristic
424C2×C42D811yescharacteristic
425C2×C42D811yescharacteristic
426C2×C42D811yescharacteristic
427C2×C42C2×D411yescharacteristic
428C2×C42C2×D411yescharacteristic
429C2×C42C2×D411yescharacteristic
430C2×C42C2×D411yescharacteristic
431C2×C42C2×D411yescharacteristic
432C2×C42C2×D411yescharacteristic
433Q32—44no—
434SD32—44no—
435SD32—44no—
436D16—44no—
437M32—24no—
438M32—24no—
439M32—44no—
440C2×C16—44no—
441C2×C16C2414yes—
442C2×C16C2414yes—
443#107—21no—
444#107—21no—
445#107—21no—
446#107—21no—
447#107C2412yes—
448#107C2412yes—
449#107C2412yes—
450#107C2412yes—
451#106—22no—
452#106—22no—
453#106—22no—
454#106—22no—
455#103—22no—
456#103—22no—
457#103—22no—
458#103—22no—
459#103—22no—
460#103—22no—
461#103—22no—
462#103—22no—
463#102—22no—
464#102—22no—
465#102—22no—
466#102—22no—
467#102—22no—
468#102—22no—
469#102—22no—
470#102—22no—
471C4×C8C2×D411yescharacteristic
472C4×C8C2×D411yescharacteristic
473C4×C8C2×D411yescharacteristic
474C4×C8C2×D411yescharacteristic
475C4×C8C2×D411yescharacteristic
476C4×C8C2×D411yescharacteristic
477C4×C8C2×D411yescharacteristic
478C4×C8C2×D411yescharacteristic
479C4×C8C2×D411yescharacteristic
480C4×C8C2×D411yescharacteristic
481C4×C8C2×D411yescharacteristic
482C4×C8C2×D411yescharacteristic
483C4×C8C2411yescharacteristic
484C4×C8C2411yescharacteristic
485C4×C8C2411yescharacteristic
486C4×C8C2411yescharacteristic
487C24—41no—
488C24C2×D811yescharacteristic
489#41—44no—
490#41—44no—
491#41—84no—
492#41—84no—
493C2×Q8—22no—
494C2×Q8—22no—
495C2×Q8—41no—
496C2×Q8—41no—
497C2×Q8—41no—
498C2×Q8—42no—
499C2×Q8—42no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—42no—
503C2×D4—42no—
504C2×D4—42no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4—41no—
509C2×D4—41no—
510C2×D4—41no—
511C2×D4—42no—
512C2×D4—84no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—41no—
518C22×C4—41no—
519C22×C4—41no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—84no—
526C22×C4C2×D811yescharacteristic
527C22×C4C2×D811yescharacteristic
528C22×C4C2×D811yescharacteristic
529C22×C4C2×D811yescharacteristic
530C22×C4C2×D811yescharacteristic
531C22×C4C2×D811yescharacteristic
532C22×C4C2×D811yescharacteristic
533C22×C4C2×D811yescharacteristic
534C22×C4C2×D811yescharacteristic
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—22no—
545Q16—22no—
546Q16—22no—
547Q16—22no—
548Q16—42no—
549Q16—42no—
550SD16—44no—
551SD16—44no—
552SD16—44no—
553SD16—44no—
554D8—22no—
555D8—22no—
556D8—22no—
557D8—22no—
558D8—42no—
559D8—42no—
560C2×C8—22no—
561C2×C8—22no—
562C2×C8—22no—
563C2×C8—22no—
564C2×C8—22no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—41no—
570C2×C8—41no—
571C2×C8—41no—
572C2×C8—41no—
573C2×C8C22×D411yescharacteristic
574C2×C8C22×D411yescharacteristic
575C2×C8C22×D411yescharacteristic
576C2×C8C22×D411yescharacteristic
577C2×C8C22×D411yescharacteristic
578C2×C8C22×D411yescharacteristic
579C2×C8C22×D411yescharacteristic
580C2×C8H(5,𝔽2)12yes—
581C2×C82−1+412yes—
582C2×C8C2511yescharacteristic
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—22no—
586C4⋊C4—22no—
587C4⋊C4—41no—
588C4⋊C4—41no—
589C4⋊C4—42no—
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⋊C4—42no—
599C4⋊C4—41no—
600C4⋊C4—41no—
601C4⋊C4—41no—
602C4⋊C4—41no—
603C4⋊C4—42no—
604C4⋊C4—42no—
605C4⋊C4—42no—
606C4⋊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⋊C4—42no—
619C22⋊C4—42no—
620C22⋊C4—42no—
621C22⋊C4—42no—
622C22⋊C4—42no—
623C22⋊C4—42no—
624C22⋊C4—42no—
625C22⋊C4—42no—
626C42—42no—
627C42—42no—
628C42—42no—
629C42—42no—
630C42—42no—
631C42C2×D811yescharacteristic
632C42C2×D811yescharacteristic
633C42C2×D811yescharacteristic
634C42C2×D811yescharacteristic
635C42C2×D811yescharacteristic
636C42C2×D811yescharacteristic
637C42C2×D811yescharacteristic
638C42C2×D811yescharacteristic
639C42C2×D811yescharacteristic
640C42C2×D811yescharacteristic
641C42C2×D811yescharacteristic
642C42C2×D811yescharacteristic
643C42C22×D411yescharacteristic
644C42C22×D411yescharacteristic
645C42C22×D411yescharacteristic
646C42C22×D411yescharacteristic
647C16—24no—
648C16—24no—
649C23—22no—
650C23—22no—
651C23—41no—
652C23—42no—
653C23—42no—
654C23—82no—
655C23—82no—
656C23—82no—
657C23C22×D811yescharacteristic
658C23C22×D811yescharacteristic
659C23C22×D811yescharacteristic
660Q8—42no—
661Q8—42no—
662Q8—42no—
663Q8—42no—
664Q8—82no—
665Q8—82no—
666Q8—82no—
667D4—42no—
668D4—42no—
669D4—42no—
670D4—42no—
671D4—82no—
672D4—84no—
673D4—84no—
674D4—84no—
675D4—84no—
676D4—84no—
677D4—82no—
678D4—82no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—84no—
705C2×C4—84no—
706C2×C4—84no—
707C2×C4—82no—
708C2×C4—82no—
709C2×C4—82no—
710C2×C4—84no—
711C2×C4—84no—
712C2×C4#53712yes—
713C2×C4C22×D811yescharacteristic
714C2×C4C22×D811yescharacteristic
715C2×C4C22×D811yescharacteristic
716C2×C4C22×D811yescharacteristic
717C2×C4C22×D811yescharacteristic
718C2×C4C22×D811yescharacteristic
719C2×C4C22×D811yescharacteristic
720C2×C4C22×D811yescharacteristic
721C2×C4C22×D811yescharacteristic
722C2×C4C22×D811yescharacteristic
723C2×C4C22×D811yescharacteristic
724C2×C4#57512yes—
725C2×C4C23×D411yescharacteristic
726C8—21no—
727C8—21no—
728C8—21no—
729C8—21no—
730C8—21no—
731C8—21no—
732C8#53712yes—
733C8C2×H(5,𝔽2)11yescharacteristic
734C8C2×2−1+411yescharacteristic
735C22—21no—
736C22—21no—
737C22—21no—
738C22—21no—
739C22—21no—
740C22—21no—
741C22—21no—
742C22—44no—
743C22—82no—
744C22—82no—
745C22—82no—
746C22—82no—
747C22—82no—
748C22—82no—
749C22—164no—
750C22#324512yes—
751C22#341412yes—
752C22C23×D811yescharacteristic
753C4—21no—
754C4—21no—
755C4—21no—
756C4—21no—
757C4—21no—
758C4—21no—
759C4—21no—
760C4—21no—
761C4—21no—
762C4—82no—
763C4—82no—
764C4—82no—
765C4—82no—
766C4—82no—
767C4—82no—
768C4#324512yes—
769C4#341412yes—
770C4C2×#53711yescharacteristic
771C4C2×#57511yescharacteristic
772C2—22no—
773C2—22no—
774C2—41no—
775C2—162no—
776C2—162no—
777C2C2×#324511yescharacteristic
778C2C2×#341411yescharacteristic
779C2C2×#341411yescharacteristic
subgroupG/H
center, socleC22C23×D8
commutator, Frattini, cosocleC2×C8C25
LCSG ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C22×C42 ◁ C22×C4×C8 ◁ G
LECSG ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #60673C2semidirect
2. C2×#3168C2semidirect
3. #33822C2semidirect
4. #33818C2semidirect
5. #33817C2semidirect
6. #33816C2semidirect
7. #33814C2semidirect
8. #33813C2semidirect
9. #33630C2semidirect
10. #33628C2semidirect
11. #33627C2semidirect
12. #33606C2semidirect
13. #33605C2semidirect
14. #33584C2semidirect
15. #33581C2semidirect
16. #33580C2semidirect
17. C2×#2150C2semidirect
23. #3170C22semidirect
24. #3170C22semidirect
25. #3169C22semidirect
26. #3169C22semidirect
37. #3168C22semidirect
38. #3168C22semidirect
58. #2229C22semidirect
59. #2229C22semidirect
60. #2229C22semidirect
61. #2228C22semidirect
62. #2228C22semidirect
63. #2228C22semidirect
64. #2227C22semidirect
65. #2226C22semidirect
66. #2225C22semidirect
67. #2224C22semidirect
69. #2220C22semidirect
70. #2219C22semidirect
73. #2217C22semidirect
74. #2216C22semidirect
76. #2211C22semidirect
77. #2211C22semidirect
78. #2211C22semidirect
79. #2210C22semidirect
80. #2210C22semidirect
81. #2210C22semidirect
82. #2209C22semidirect
83. #2208C22semidirect
84. #2207C22semidirect
85. #2206C22semidirect
91. #2150C22semidirect
92. #2150C22semidirect
93. C2×C4⋊C16C22semidirect
94. C2×C4⋊C16C22semidirect

Maximal subgroups

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

subgroupindex
#606732
C2×#31682
#338222
#338182
#338172
#338162
#338142
#338132
#336302
#336282
#336272
#336062
#336052
#335842
#335812
#335802
C2×#21502