Finite Group Databasebeta

← #7625103

Subgroups — #7625103

Order 512.

1303 conjugacy classes of subgroups.

The subgroup lattice has 782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62474C211yesmaximal, characteristic, complemented
2#62417C211yesmaximal, characteristic, complemented
3#33937C214yesmaximal, complemented
4#33889C214yesmaximal, complemented
5#33886C214yesmaximal, complemented
6#33876C214yesmaximal, complemented
7#33797C211yesmaximal, characteristic, complemented
8#33794C211yesmaximal, characteristic, complemented
9#33792C211yesmaximal, characteristic, complemented
10#33773C211yesmaximal, characteristic, complemented
11#33773C211yesmaximal, characteristic, complemented
12#33771C211yesmaximal, characteristic, complemented
13#33751C211yesmaximal, characteristic, complemented
14#33748C211yesmaximal, characteristic, complemented
15#33733C211yesmaximal, characteristic, complemented
16#33707C211yesmaximal, characteristic, complemented
17#33704C211yesmaximal, characteristic, complemented
18#33697C211yesmaximal, characteristic, complemented
19#33479C211yesmaximal, characteristic, complemented
20#3511—21no—
21#3508—21no—
22#3396—21no—
23#3396C2212yes—
24#3380—21no—
25#3380C2212yescomplemented
26#3341—21no—
27#3341C2212yes—
28#3339—21no—
29#3339—21no—
30#3339C2212yes—
31#3339C2212yescomplemented
32#3287—21no—
33#3287C2212yes—
34#3280—21no—
35#3280—21no—
36#3280C2212yes—
37#3280C2212yes—
38#3228—21no—
39#3228—21no—
40#3227—21no—
41#3208—21no—
42#3207—21no—
43#3207—21no—
44#3170C2211yescharacteristic
45#3169C2211yescharacteristic
46#3169C2211yescharacteristic
47#3169C2211yescharacteristic
48#3169C2211yescharacteristic, complemented
49#3169C2211yescharacteristic, complemented
50#3160C2211yescharacteristic
51#3160C2211yescharacteristic, complemented
52C2×#500C2211yescharacteristic, complemented
53#3147C2211yescharacteristic
54#3147C2211yescharacteristic
55C2×#493C2211yescharacteristic
56C8×#41C2211yescharacteristic
57#2254C2211yescharacteristic, complemented
58#2252C2211yescharacteristic, complemented
59#2252C2211yescharacteristic, complemented
60#2248C2211yescharacteristic, complemented
61#2246C2211yescharacteristic
62#2246C2211yescharacteristic
63#2244C2214yes—
64#2243C2214yescomplemented
65#2242C2214yescomplemented
66#2241C2211yescharacteristic, complemented
67#2241C2211yescharacteristic, complemented
68#2241C2211yescharacteristic, complemented
69#2240C2211yescharacteristic
70#2240C2211yescharacteristic
71#2240C2211yescharacteristic
72#2240C2211yescharacteristic
73#2240C2211yescharacteristic
74#2240C2211yescharacteristic
75#2240C2211yescharacteristic, complemented
76#2237C2214yes—
77#2234C2214yescomplemented
78#2232C2214yescomplemented
79#2229C2214yescomplemented
80#2228C2214yescomplemented
81#2224C2214yescomplemented
82#2220C2214yes—
83#2218C2214yescomplemented
84#2215C2214yescomplemented
85#2210C2214yescomplemented
86#2210C2214yescomplemented
87#2206C2214yes—
88#2186C2214yescomplemented
89#2186C2214yescomplemented
90#2184C2214yes—
91#2183C2212yescomplemented
92#2177C2214yescomplemented
93#2175C2214yescomplemented
94C4×D16C2214yescomplemented
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#556—41no—
116#555—22no—
117#554—22no—
118#553—22no—
119#553—22no—
120#550—22no—
121#550—41no—
122#548—41no—
123#548—41no—
124#547—41no—
125#546—22no—
126#546—22no—
127#546—41no—
128#546—41no—
129#542—41no—
130#542—41no—
131#540—41no—
132#540—41no—
133#537—41no—
134#535—41no—
135#533—21no—
136#533—21no—
137#533—21no—
138#532—21no—
139#532—21no—
140#532—21no—
141#532—21no—
142#532—21no—
143#532—21no—
144#532—21no—
145C2×C4⋊Q8—21no—
146C2×#127—21no—
147#520—41no—
148#518—41no—
149C4×#41D411yescharacteristic
150C2×SD32C2314yes—
151C2×D16C2314yes—
152C2×D16C2314yes—
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#493—21no—
175#493—21no—
176#493C2312yes—
177#493C2311yescharacteristic
178#493C2311yescharacteristic
179#493C2311yescharacteristic
180#492—21no—
181#492—21no—
182#487—21no—
183#486—21no—
184#486—21no—
185#486—21no—
186#486—21no—
187#486—21no—
188#482—22no—
189#482—22no—
190#482—22no—
191#482—22no—
192#481—22no—
193#481—22no—
194#478—22no—
195#478—22no—
196#478—22no—
197#478—22no—
198#476—22no—
199#476—22no—
200#467—21no—
201#467C2312yes—
202#466—21no—
203#466—21no—
204#466—21no—
205#466—21no—
206#466—21no—
207#466C2312yes—
208#466C2312yes—
209#466C2312yes—
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×Q16C2312yes—
228C4×D8—21no—
229C4×D8—21no—
230C4×D8—21no—
231C4×D8—21no—
232C4×D8—21no—
233C4×D8C2312yes—
234C4×D8C2312yes—
235C4×D8C2312yes—
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#366C2314yes—
258#366C2314yes—
259C4⋊C16C2312yes—
260C4⋊C16C2312yes—
261C4⋊C16C2312yes—
262#358C2314yes—
263#358C2314yes—
264#358C2314yes—
265#357C2314yes—
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×#41—41no—
287C2×#41—41no—
288C2×#41—41no—
289C2×#41D811yescharacteristic
290C22×Q8—41no—
291C22×D4—22no—
292C22×D4—41no—
293C22×D4—41no—
294#135—44no—
295#135—44no—
296#135—82no—
297#135—82no—
298C2×Q16—21no—
299C2×Q16C2412yes—
300C2×SD16—22no—
301C2×SD16—22no—
302C2×SD16—22no—
303C2×SD16—22no—
304C2×D8—21no—
305C2×D8—21no—
306C2×D8—21no—
307C2×D8—22no—
308C2×D8—22no—
309C2×D8—44no—
310C2×D8—82no—
311C2×D8C2412yes—
312C2×D8C2412yes—
313C2×D8C2412yes—
314C22×C8C2×D411yescharacteristic
315C22×C8C2×D411yescharacteristic
316C22×C8C2×D411yescharacteristic
317C22×C8C2411yescharacteristic
318C22×C8C2411yescharacteristic
319C22×C8C2411yescharacteristic
320C4⋊Q8—21no—
321C4⋊Q8—21no—
322C4⋊Q8—22no—
323C4⋊Q8—21no—
324C4⋊Q8—21no—
325C4⋊Q8—21no—
326C4⋊Q8—41no—
327C4⋊Q8—41no—
328#127—21no—
329#127—21no—
330#127—22no—
331#127—21no—
332#127—42no—
333#127—41no—
334#127—41no—
335#126—42no—
336#126—42no—
337#125—22no—
338#125—22no—
339#125—41no—
340#124—22no—
341#124—22no—
342#124—42no—
343#124—42no—
344#124—42no—
345#124—41no—
346#124—41no—
347#124—41no—
348#124—41no—
349#124—41no—
350#123—42no—
351#123—42no—
352#123—42no—
353#123—42no—
354#123—42no—
355#123—42no—
356C22⋊Q8—22no—
357C22⋊Q8—42no—
358C22⋊Q8—41no—
359C22⋊Q8—41no—
360C22⋊Q8—41no—
361C22⋊Q8—41no—
362C22⋊Q8—41no—
363C22⋊Q8—42no—
364C22⋊Q8—42no—
365#121—22no—
366#121—22no—
367#121—22no—
368#121—22no—
369#121—22no—
370#121—42no—
371#121—42no—
372#121—42no—
373#121—41no—
374#121—41no—
375#121—41no—
376#121—41no—
377#121—41no—
378#121—41no—
379#121—41no—
380#121—41no—
381#121—41no—
382#121—42no—
383#121—42no—
384#121—42no—
385#121—42no—
386#120—42no—
387#120—42no—
388C4×Q8—22no—
389C4×Q8—41no—
390C4×Q8—41no—
391C4×Q8—41no—
392C4×Q8—41no—
393C4×Q8—41no—
394C4×Q8D811yescharacteristic
395C4×Q8C2×D411yescharacteristic
396C4×D4—22no—
397C4×D4—22no—
398C4×D4—22no—
399C4×D4—22no—
400C4×D4—22no—
401C4×D4—42no—
402C4×D4—42no—
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×D4—41no—
412C4×D4—41no—
413C4×D4—41no—
414C4×D4D811yescharacteristic
415C4×D4D811yescharacteristic
416C4×D4D811yescharacteristic
417C4×D4C2×D411yescharacteristic
418C4×D4C2×D411yescharacteristic
419C4×D4C2×D411yescharacteristic
420#117—22no—
421#117—22no—
422#117—41no—
423#117—42no—
424#117D811yescharacteristic
425#117D811yescharacteristic
426#117D811yescharacteristic
427C2×C4⋊C4—22no—
428C2×C4⋊C4—41no—
429C2×C4⋊C4—42no—
430C2×C22⋊C4—42no—
431C2×C22⋊C4—42no—
432C2×C42C2×D411yescharacteristic
433C2×C42C2×D411yescharacteristic
434C2×C42C2×D411yescharacteristic
435SD32—44no—
436D16—44no—
437D16—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#102—22no—
468#102—22no—
469#102—22no—
470#102—22no—
471#102—22no—
472#102—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—84no—
496#41—82no—
497#41—82no—
498#41—82no—
499#41—82no—
500#41—162no—
501#41—162no—
502#41—162no—
503#41—162no—
504C2×Q8—22no—
505C2×Q8—41no—
506C2×Q8—41no—
507C2×Q8—41no—
508C2×Q8—41no—
509C2×Q8—42no—
510C2×Q8—162no—
511C2×Q8C2×D811yescharacteristic
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—22no—
515C2×D4—42no—
516C2×D4—42no—
517C2×D4—42no—
518C2×D4—42no—
519C2×D4—42no—
520C2×D4—42no—
521C2×D4—42no—
522C2×D4—41no—
523C2×D4—41no—
524C2×D4—41no—
525C2×D4—42no—
526C2×D4—41no—
527C2×D4—41no—
528C2×D4—41no—
529C2×D4—42no—
530C2×D4—42no—
531C2×D4—82no—
532C2×D4—82no—
533C2×D4—84no—
534C2×D4—162no—
535C2×D4C2×D811yescharacteristic
536C2×D4C2×D811yescharacteristic
537C2×D4C2×D811yescharacteristic
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—42no—
543C22×C4—42no—
544C22×C4—42no—
545C22×C4—42no—
546C22×C4C2×D811yescharacteristic
547C22×C4C2×D811yescharacteristic
548C22×C4C2×D811yescharacteristic
549C22×C4C2×D811yescharacteristic
550C22×C4C2×D811yescharacteristic
551C22×C4C2×D811yescharacteristic
552C22×C4C22×D411yescharacteristic
553C22×C4C22×D411yescharacteristic
554C22×C4C22×D411yescharacteristic
555Q16—24no—
556Q16—42no—
557SD16—82no—
558SD16—82no—
559SD16—82no—
560SD16—82no—
561D8—24no—
562D8—24no—
563D8—24no—
564D8—42no—
565D8—42no—
566D8—42no—
567D8—82no—
568D8—82no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8—22no—
574C2×C8—22no—
575C2×C8C22×D411yescharacteristic
576C2×C8C22×D411yescharacteristic
577C2×C8C22×D411yescharacteristic
578C2×C8C22×D411yescharacteristic
579C2×C8C22×D411yescharacteristic
580C2×C8C22×D411yescharacteristic
581C2×C8C22×D411yescharacteristic
582C2×C8C2511yescharacteristic
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—22no—
586C4⋊C4—22no—
587C4⋊C4—42no—
588C4⋊C4—42no—
589C4⋊C4—41no—
590C4⋊C4—41no—
591C4⋊C4—42no—
592C4⋊C4—42no—
593C4⋊C4—41no—
594C4⋊C4—41no—
595C4⋊C4—41no—
596C4⋊C4—41no—
597C4⋊C4—42no—
598C4⋊C4—42no—
599C4⋊C4—42no—
600C4⋊C4—42no—
601C4⋊C4C2×D811yescharacteristic
602C4⋊C4C2×D811yescharacteristic
603C4⋊C4C2×D811yescharacteristic
604C4⋊C4C2×D811yescharacteristic
605C4⋊C4C2×D811yescharacteristic
606C4⋊C4C2×D811yescharacteristic
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⋊C4C2×D811yescharacteristic
625C22⋊C4C2×D811yescharacteristic
626C22⋊C4C2×D811yescharacteristic
627C22⋊C4C2×D811yescharacteristic
628C22⋊C4C2×D811yescharacteristic
629C22⋊C4C2×D811yescharacteristic
630C42—42no—
631C42—42no—
632C42—42no—
633C42C2×D811yescharacteristic
634C42C2×D811yescharacteristic
635C42C2×D811yescharacteristic
636C42C2×D811yescharacteristic
637C42C2×D811yescharacteristic
638C42C2×D811yescharacteristic
639C42C22×D411yescharacteristic
640C42C22×D411yescharacteristic
641C42C22×D411yescharacteristic
642C42C22×D411yescharacteristic
643C16—22no—
644C16—22no—
645C16—22no—
646C16—22no—
647C23—42no—
648C23—42no—
649C23—42no—
650C23—84no—
651C23—162no—
652C23—162no—
653C23C22×D811yescharacteristic
654C23C22×D811yescharacteristic
655C23C22×D811yescharacteristic
656Q8—41no—
657Q8—42no—
658Q8—42no—
659Q8—82no—
660Q8—82no—
661Q8—82no—
662Q8—82no—
663Q8—162no—
664D4—41no—
665D4—41no—
666D4—41no—
667D4—42no—
668D4—42no—
669D4—42no—
670D4—42no—
671D4—42no—
672D4—42no—
673D4—84no—
674D4—84no—
675D4—82no—
676D4—82no—
677D4—82no—
678D4—82no—
679D4—82no—
680D4—82no—
681D4—162no—
682D4—162no—
683D4—162no—
684D4—162no—
685D4—162no—
686D4—162no—
687D4—162no—
688D4—162no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—22no—
694C2×C4—22no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—21no—
699C2×C4—21no—
700C2×C4—21no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—84no—
707C2×C4—162no—
708C2×C4—162no—
709C2×C4—162no—
710C2×C4—162no—
711C2×C4—162no—
712C2×C4—162no—
713C2×C4—162no—
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×C4C22×D811yescharacteristic
725C2×C4C23×D411yescharacteristic
726C8—21no—
727C8—21no—
728C8—21no—
729C8—21no—
730C8—21no—
731C8—21no—
732C8#57712yes—
733C8#58512yes—
734C22—21no—
735C22—21no—
736C22—21no—
737C22—21no—
738C22—21no—
739C22—21no—
740C22—21no—
741C22—21no—
742C22—21no—
743C22—82no—
744C22—82no—
745C22—82no—
746C22—82no—
747C22—82no—
748C22—82no—
749C22—82no—
750C22—82no—
751C22—82no—
752C22—324no—
753C22C23×D811yescharacteristic
754C4—21no—
755C4—21no—
756C4—21no—
757C4—21no—
758C4—21no—
759C4—21no—
760C4—21no—
761C4—21no—
762C4—21no—
763C4—82no—
764C4—82no—
765C4—82no—
766C4—82no—
767C4—82no—
768C4#341412yes—
769C4#341512yes—
770C4#350011yescharacteristic
771C4C2×#57711yescharacteristic
772C2—41no—
773C2—41no—
774C2—41no—
775C2—162no—
776C2—162no—
777C2—162no—
778C2#6252911yescharacteristic
779C2C2×#341411yescharacteristic
780C2C2×#341511yescharacteristic
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. #62474C2semidirect
2. #62417C2semidirect
3. #33937C2semidirect
4. #33889C2semidirect
5. #33886C2semidirect
6. #33876C2semidirect
7. #33797C2semidirect
8. #33794C2semidirect
9. #33792C2semidirect
10. #33773C2semidirect
11. #33773C2semidirect
12. #33771C2semidirect
13. #33751C2semidirect
14. #33748C2semidirect
15. #33733C2semidirect
16. #33707C2semidirect
17. #33704C2semidirect
18. #33697C2semidirect
19. #33479C2semidirect
25. #3380C22semidirect
31. #3339C22semidirect
48. #3169C22semidirect
49. #3169C22semidirect
51. #3160C22semidirect
52. C2×#500C22semidirect
57. #2254C22semidirect
58. #2252C22semidirect
59. #2252C22semidirect
60. #2248C22semidirect
64. #2243C22semidirect
65. #2242C22semidirect
66. #2241C22semidirect
67. #2241C22semidirect
68. #2241C22semidirect
75. #2240C22semidirect
77. #2234C22semidirect
78. #2232C22semidirect
79. #2229C22semidirect
80. #2228C22semidirect
81. #2224C22semidirect
83. #2218C22semidirect
84. #2215C22semidirect
85. #2210C22semidirect
86. #2210C22semidirect
88. #2186C22semidirect
89. #2186C22semidirect
91. #2183C22semidirect
92. #2177C22semidirect
93. #2175C22semidirect
94. C4×D16C22semidirect
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
#624742
#624172
#339372
#338892
#338862
#338762
#337972
#337942
#337922
#337732
#337712
#337512
#337482
#337332
#337072
#337042
#336972
#334792