Finite Group Databasebeta

← #8402604

Subgroups — #8402604

Order 512.

4505 conjugacy classes of subgroups.

The subgroup lattice has 779 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59692C214yesmaximal, complemented
2#55302C218yesmaximal, complemented
3#49243C218yesmaximal, complemented
4#48498C218yesmaximal, complemented
5#46061C214yesmaximal, complemented
6#45266C212yesmaximal, complemented
7#45200C212yesmaximal, complemented
8#44087C218yesmaximal, complemented
9#42645C212yesmaximal, complemented
10#40026C214yesmaximal, complemented
11#39782C214yesmaximal, complemented
12#37395C211yesmaximal, characteristic, complemented
13#36594C212yesmaximal, complemented
14#36370C212yesmaximal, complemented
15#36033C212yesmaximal, complemented
16#35537C211yesmaximal, characteristic
17#34973C211yesmaximal, characteristic, complemented
18C2×#556C2212yes—
19C2×#556C2212yescomplemented
20C2×#540C2211yescharacteristic
21C2×#518C2211yescharacteristic
22#2868C2211yescharacteristic, complemented
23#2864C2211yescharacteristic, complemented
24#2860C2214yes—
25#2858C2214yes—
26#2829C2218yes—
27#2814C2214yescomplemented
28#2807C2218yescomplemented
29#2803C2218yes—
30#2803C2218yescomplemented
31#2801C2218yes—
32#2793C2218yes—
33#2791C2218yescomplemented
34#2783C2218yescomplemented
35#2777C2218yescomplemented
36#2772C2218yescomplemented
37#2765C2218yescomplemented
38#2756C2218yes—
39#2753C2218yescomplemented
40#2746C2218yescomplemented
41#2741C2218yescomplemented
42#2723C2218yescomplemented
43#2723C2218yescomplemented
44#2711C2218yescomplemented
45#2705C2218yes—
46#2701C2218yescomplemented
47#2697C2218yes—
48#2695C2218yescomplemented
49#2691C2218yes—
50#2685C2218yes—
51#2685C2218yes—
52#2664C2218yescomplemented
53#2648C2218yescomplemented
54#2639C2214yes—
55#2638C2214yes—
56#2624C2214yes—
57#2621C2212yes—
58#2601C2218yes—
59#2594C2218yescomplemented
60#2594C2218yescomplemented
61#2593C2218yes—
62#2580C2212yes—
63#2580C2212yescomplemented
64#2578C2218yescomplemented
65#2573C2218yescomplemented
66#2566C2212yes—
67#2561C2214yes—
68#2548C2214yes—
69#2547C2212yes—
70#2547C2212yescomplemented
71#2545C2214yes—
72#2545C2214yescomplemented
73#2544C2214yes—
74#2544C2214yescomplemented
75#2541C2212yes—
76#2538C2218yescomplemented
77#2524C2214yescomplemented
78#2522C2218yescomplemented
79#2519C2214yes—
80#2518C2218yes—
81#2514C2214yescomplemented
82#2512C2218yescomplemented
83#2512C2218yescomplemented
84#2510C2218yescomplemented
85#2507C2214yescomplemented
86#2500C2212yes—
87#2498C2214yescomplemented
88#2482C2214yes—
89#2480C2218yes—
90#2479C2218yescomplemented
91#2479C2218yescomplemented
92#2479C2218yescomplemented
93#2476C2218yescomplemented
94#2471C2218yescomplemented
95#2469C2214yes—
96#2468C2218yes—
97#2468C2218yescomplemented
98#2462C2214yescomplemented
99#2458C2218yescomplemented
100#2456C2218yes—
101#2453C2214yescomplemented
102#2448C2214yes—
103#2448C2214yes—
104#2448C2214yescomplemented
105#2447C2214yes—
106#2446C2214yescomplemented
107#2445C2214yes—
108#2435C2214yes—
109#2433C2212yes—
110#2429C2214yes—
111#2427C2214yes—
112#2426C2214yes—
113#2424C2218yes—
114#2402C2211yescharacteristic, complemented
115#2399C2211yescharacteristic, complemented
116#2396C2212yes—
117#2395C2214yes—
118#2375C2218yes—
119#2367C2214yes—
120#2367C2214yescomplemented
121#2362C2214yes—
122#2359C2218yescomplemented
123#2357C2212yes—
124#2354C2218yescomplemented
125#2351C2214yescomplemented
126#2349C2212yescomplemented
127#2347C2218yescomplemented
128#2334C2218yescomplemented
129#2333C2218yescomplemented
130#2328C2212yes—
131#2327C2212yescomplemented
132C4×C4⋊Q8C2214yescomplemented
133C4×#127C2212yes—
134C4×#125C2214yescomplemented
135C4×#126C2214yes—
136#2298C2211yescharacteristic
137#2293C2214yescomplemented
138C42×Q8C2212yescomplemented
139C23×D4C2311yescharacteristic
140#556—48no—
141#556—48no—
142#540—44no—
143C2×C4⋊Q8C2312yes—
144C2×C4⋊Q8C2314yes—
145C2×#127C2312yes—
146C2×#127C2312yes—
147C2×#127C2311yescharacteristic
148C2×#126C2314yes—
149C2×#126C2318yes—
150C2×#126C2318yes—
151C2×#126C2318yes—
152C2×#125C2314yes—
153C2×#125C2311yescharacteristic
154C2×#124C2314yes—
155C2×#124C2314yes—
156C2×#124C2314yes—
157C2×#124C2314yes—
158C2×#123C2318yes—
159C2×#123C2314yes—
160C2×C22⋊Q8C2314yes—
161C2×C22⋊Q8C2314yes—
162C2×C22⋊Q8C2314yes—
163C2×#121C2318yes—
164C2×#121C2314yes—
165C2×#121C2312yes—
166C2×#120C2318yes—
167#518—44no—
168C2×C4×Q8C2312yes—
169C2×C4×Q8C2314yes—
170C2×C4×Q8C2314yes—
171C2×C4×Q8C2314yes—
172C2×C4×Q8C2314yes—
173C2×C4×D4C2312yes—
174C2×C4×D4C2312yes—
175C2×C4×D4C2318yes—
176C2×C4×D4C2312yes—
177C2×C4×D4C2314yes—
178C2×C4×D4C2314yes—
179C2×#117C2311yescharacteristic
180C2×#117C2318yes—
181C2×#117C2314yes—
182C2×#117C2314yes—
183C2×#117C2311yescharacteristic
184C22×C22⋊C4C2314yes—
185#401C2318yes—
186#400C2318yes—
187#400C2318yes—
188#400C2314yes—
189#400C2318yes—
190#400C2312yes—
191#399C2318yes—
192#399C2314yes—
193#399C2314yes—
194#399C2312yes—
195#399C2318yes—
196#399C2318yes—
197#398C2318yes—
198#398C2318yes—
199#398C2318yes—
200#398C2314yes—
201#398C2314yes—
202#398C2314yes—
203#398C2314yes—
204#398C2314yes—
205#398C2318yes—
206#398C2318yes—
207#397C2314yes—
208#397C2314yes—
209#397C2318yes—
210#397C2318yes—
211#397C2318yes—
212#397C2314yes—
213#397C2318yes—
214#397C2314yes—
215#397C2314yes—
216#397C2318yes—
217#397C2314yes—
218#397C2318yes—
219#396C2318yes—
220#396C2318yes—
221#396C2318yes—
222#396C2318yes—
223#396C2318yes—
224#396C2318yes—
225#396C2318yes—
226#396C2314yes—
227#395C2312yes—
228#395C2314yes—
229#394C2318yes—
230#394C2318yes—
231#394C2318yes—
232#394C2318yes—
233#394C2318yes—
234#394C2318yes—
235#394C2318yes—
236#394C2318yes—
237#394C2318yes—
238#394C2318yes—
239#394C2318yes—
240#394C2318yes—
241#394C2318yes—
242#393C2312yes—
243#393C2314yes—
244#393C2314yes—
245#392C2318yes—
246#392C2318yes—
247#391C2314yes—
248#391C2314yes—
249#391C2314yes—
250#391C2314yes—
251#390C2312yes—
252#390C2318yes—
253#390C2312yes—
254#390C2312yes—
255#390C2318yes—
256#390C2314yes—
257#390C2314yes—
258#390C2312yes—
259#390C2318yes—
260#390C2318yes—
261#390C2318yes—
262#390C2318yes—
263#390C2318yes—
264#390C2314yes—
265#390C2318yes—
266#389C2314yes—
267#389C2314yes—
268#389C2318yes—
269#389C2318yes—
270#389C2318yes—
271#389C2314yes—
272#389C2314yes—
273#389C2318yes—
274#389C2318yes—
275#389C2318yes—
276#389C2318yes—
277#389C2314yes—
278#389C2314yes—
279#388C2314yes—
280#388C2314yes—
281#388C2314yes—
282#388C2318yes—
283#388C2318yes—
284#388C2318yes—
285#388C2318yes—
286#388C2318yes—
287#388C2318yes—
288#388C2318yes—
289#388C2318yes—
290#388C2318yes—
291#388C2318yes—
292#388C2318yes—
293#388C2318yes—
294#388C2318yes—
295#388C2318yes—
296#388C2318yes—
297#388C2318yes—
298#388C2318yes—
299#388C2318yes—
300#388C2318yes—
301#388C2318yes—
302#388C2318yes—
303#388C2318yes—
304#388C2318yes—
305#388C2318yes—
306#388C2314yes—
307#388C2318yes—
308#387C2314yes—
309#387C2314yes—
310#387C2314yes—
311#387C2314yes—
312#387C2314yes—
313#387C2314yes—
314#387C2314yes—
315#387C2318yes—
316#387C2318yes—
317#387C2318yes—
318#387C2318yes—
319#387C2318yes—
320#387C2318yes—
321#387C2318yes—
322#387C2318yes—
323#387C2318yes—
324#387C2314yes—
325#386C2318yes—
326#386C2318yes—
327#386C2318yes—
328#386C2318yes—
329#386C2318yes—
330#386C2318yes—
331#386C2318yes—
332#386C2318yes—
333#385C2318yes—
334#385C2318yes—
335#385C2318yes—
336#385C2318yes—
337#385C2318yes—
338#385C2318yes—
339#385C2318yes—
340#384C2312yes—
341#384C2318yes—
342#383C2314yes—
343#383C2318yes—
344#382C2314yes—
345#382C2312yes—
346#382C2312yes—
347#382C2318yes—
348#381C2318yes—
349#381C2314yes—
350#380C2318yes—
351#380C2318yes—
352#380C2314yes—
353#380C2318yes—
354#379C2318yes—
355#379C2318yes—
356C4×C4⋊C4C2314yes—
357C4×C4⋊C4C2314yes—
358C4×C4⋊C4C2314yes—
359C4×C4⋊C4C2312yes—
360C4×C4⋊C4C2314yes—
361C4×C4⋊C4C2318yes—
362C4×C4⋊C4C2318yes—
363C4×C4⋊C4C2318yes—
364C4×C4⋊C4C2318yes—
365C4×C4⋊C4C2312yes—
366C4×C4⋊C4C2314yes—
367C4×C4⋊C4C2314yes—
368C4×C4⋊C4C2314yes—
369C4×C4⋊C4C2314yes—
370C4×C22⋊C4C2314yes—
371C4×C22⋊C4C2312yes—
372C4×C22⋊C4C2314yes—
373C4×C22⋊C4C2318yes—
374C4×C22⋊C4C2318yes—
375C4×C22⋊C4C2318yes—
376#376C2311yescharacteristic
377C2×#95C2314yes—
378C43C2314yes—
379C43C2311yescharacteristic
380C25C2412yes—
381C22×Q8C2414yes—
382C22×Q8C2412yes—
383C22×D4—42no—
384C22×D4—44no—
385C22×D4C2412yes—
386C22×D4C2412yes—
387C22×D4C2418yes—
388C22×D4C2412yes—
389C22×D4C2414yes—
390C22×D4C2418yes—
391C22×D4C2414yes—
392C23×C4C2411yescharacteristic
393C23×C4C2414yes—
394C23×C4C2414yes—
395C23×C4C2414yes—
396C23×C4C2418yes—
397C4⋊Q8—28no—
398C4⋊Q8—48no—
399#127—44no—
400#127—44no—
401#127—42no—
402#126—48no—
403#126—416no—
404#126—416no—
405#126—416no—
406#125—48no—
407#125—42no—
408#124—48no—
409#124—48no—
410#124—48no—
411#124—48no—
412#123—48no—
413#123—416no—
414C22⋊Q8—48no—
415C22⋊Q8—48no—
416C22⋊Q8—48no—
417#121—48no—
418#121—416no—
419#121—44no—
420#120—416no—
421C4×Q8—28no—
422C4×Q8—48no—
423C4×Q8—48no—
424C4×Q8—48no—
425C4×Q8—48no—
426C4×D4—28no—
427C4×D4—28no—
428C4×D4—416no—
429C4×D4—48no—
430C4×D4—44no—
431C4×D4—48no—
432#117—24no—
433#117—416no—
434#117—42no—
435#117—48no—
436#117—48no—
437C2×C4⋊C4C2412yes—
438C2×C4⋊C4C2412yes—
439C2×C4⋊C4C2412yes—
440C2×C4⋊C4C2414yes—
441C2×C4⋊C4C2414yes—
442C2×C4⋊C4C2418yes—
443C2×C4⋊C4C2412yes—
444C2×C4⋊C4C2414yes—
445C2×C4⋊C4C2414yes—
446C2×C4⋊C4C2414yes—
447C2×C4⋊C4C2414yes—
448C2×C4⋊C4C2414yes—
449C2×C4⋊C4C2418yes—
450C2×C4⋊C4C2418yes—
451C2×C4⋊C4C2418yes—
452C2×C4⋊C4C2418yes—
453C2×C4⋊C4C2414yes—
454C2×C4⋊C4C2418yes—
455C2×C4⋊C4C2414yes—
456C2×C4⋊C4C2418yes—
457C2×C4⋊C4C2414yes—
458C2×C4⋊C4C2414yes—
459C2×C4⋊C4C2414yes—
460C2×C4⋊C4C2414yes—
461C2×C4⋊C4C2418yes—
462C2×C4⋊C4C2414yes—
463C2×C4⋊C4C2414yes—
464C2×C4⋊C4C2418yes—
465C2×C4⋊C4C2418yes—
466C2×C4⋊C4C2418yes—
467C2×C22⋊C4—48no—
468C2×C22⋊C4C2412yes—
469C2×C22⋊C4C2414yes—
470C2×C22⋊C4C2418yes—
471C2×C22⋊C4C2418yes—
472C2×C22⋊C4C2414yes—
473C2×C22⋊C4C2414yes—
474C2×C22⋊C4C2412yes—
475C2×C22⋊C4C2414yes—
476C2×C22⋊C4C2418yes—
477C2×C22⋊C4C2418yes—
478C2×C22⋊C4C2418yes—
479C2×C22⋊C4C2418yes—
480C2×C22⋊C4C2418yes—
481C2×C22⋊C4C2414yes—
482C2×C22⋊C4C2418yes—
483C2×C22⋊C4C2418yes—
484C2×C22⋊C4C2418yes—
485C2×C22⋊C4C2418yes—
486C2×C22⋊C4C2418yes—
487C2×C22⋊C4C2418yes—
488C2×C22⋊C4C2418yes—
489C2×C22⋊C4C2418yes—
490C2×C22⋊C4C2418yes—
491C2×C22⋊C4C2418yes—
492C2×C22⋊C4C2418yes—
493C2×C22⋊C4C2414yes—
494C2×C22⋊C4C2414yes—
495C2×C22⋊C4C2418yes—
496C2×C22⋊C4C2418yes—
497C2×C42C2414yes—
498C2×C42C2411yescharacteristic
499C2×C42C2414yes—
500C2×C42C2414yes—
501C2×C42C2414yes—
502C2×C42C2412yes—
503C2×C42C2414yes—
504C2×C42C2412yes—
505C2×C42C2412yes—
506C2×C42C2418yes—
507C2×C42C2418yes—
508C2×C42C2418yes—
509C2×C42C2414yes—
510C2×C42C2414yes—
511C2×C42C2418yes—
512C2×C42C2411yescharacteristic
513#95C2412yes—
514#95C2414yes—
515#95C2418yes—
516#95C2414yes—
517#95C2414yes—
518#95C2414yes—
519#95C2414yes—
520#95C2418yes—
521#95C2414yes—
522#95C2418yes—
523#95C2414yes—
524#95C2418yes—
525#95C2418yes—
526#95C2414yes—
527#95C2412yes—
528#95C2414yes—
529#95C2414yes—
530#95C2414yes—
531#95C2418yes—
532#95C2418yes—
533#95C2418yes—
534#95C2414yes—
535#95C2418yes—
536#95C2418yes—
537#95C2414yes—
538#95C2414yes—
539#95C2414yes—
540#95C2418yes—
541#95C2418yes—
542#95C2418yes—
543#95C2418yes—
544C24—42no—
545C24—44no—
546C24—48no—
547C24C2511yescharacteristic
548C24C2514yes—
549C24C2514yes—
550C2×Q8—24no—
551C2×Q8—28no—
552C2×Q8—28no—
553C2×Q8—28no—
554C2×Q8—44no—
555C2×D4—24no—
556C2×D4—24no—
557C2×D4—24no—
558C2×D4—24no—
559C2×D4—24no—
560C2×D4—24no—
561C2×D4—216no—
562C2×D4—42no—
563C2×D4—44no—
564C2×D4—48no—
565C2×D4—48no—
566C2×D4—48no—
567C2×D4—48no—
568C2×D4—44no—
569C2×D4—44no—
570C2×D4—48no—
571C2×D4—48no—
572C2×D4—48no—
573C2×D4—416no—
574C22×C4—22no—
575C22×C4—24no—
576C22×C4—28no—
577C22×C4—28no—
578C22×C4—48no—
579C22×C4—48no—
580C22×C4—48no—
581C22×C4—48no—
582C22×C4—48no—
583C22×C4—44no—
584C22×C4—48no—
585C22×C4C2514yes—
586C22×C4C2514yes—
587C22×C4C2512yes—
588C22×C4C2518yes—
589C22×C4C2511yescharacteristic
590C22×C4C2514yes—
591C22×C4C2514yes—
592C22×C4C2514yes—
593C22×C4C2514yes—
594C22×C4C2518yes—
595C22×C4C2514yes—
596C22×C4C2512yes—
597C22×C4C2514yes—
598C22×C4C2511yescharacteristic
599C4⋊C4—24no—
600C4⋊C4—24no—
601C4⋊C4—24no—
602C4⋊C4—28no—
603C4⋊C4—28no—
604C4⋊C4—24no—
605C4⋊C4—28no—
606C4⋊C4—216no—
607C4⋊C4—28no—
608C4⋊C4—28no—
609C4⋊C4—28no—
610C4⋊C4—28no—
611C4⋊C4—48no—
612C4⋊C4—48no—
613C4⋊C4—44no—
614C4⋊C4—48no—
615C4⋊C4—48no—
616C4⋊C4—48no—
617C4⋊C4—44no—
618C4⋊C4—48no—
619C4⋊C4—44no—
620C4⋊C4—44no—
621C4⋊C4—44no—
622C4⋊C4—44no—
623C4⋊C4—44no—
624C4⋊C4—44no—
625C4⋊C4—48no—
626C4⋊C4—48no—
627C4⋊C4—48no—
628C4⋊C4—48no—
629C22⋊C4—24no—
630C22⋊C4—28no—
631C22⋊C4—28no—
632C22⋊C4—216no—
633C22⋊C4—216no—
634C22⋊C4—28no—
635C22⋊C4—42no—
636C22⋊C4—44no—
637C22⋊C4—48no—
638C22⋊C4—48no—
639C22⋊C4—48no—
640C22⋊C4—48no—
641C22⋊C4—48no—
642C22⋊C4—48no—
643C22⋊C4—44no—
644C22⋊C4—48no—
645C22⋊C4—48no—
646C22⋊C4—48no—
647C22⋊C4—48no—
648C22⋊C4—48no—
649C22⋊C4—48no—
650C22⋊C4—48no—
651C22⋊C4—48no—
652C22⋊C4—48no—
653C22⋊C4—48no—
654C22⋊C4—44no—
655C22⋊C4—44no—
656C22⋊C4—48no—
657C22⋊C4—48no—
658C42—22no—
659C42—28no—
660C42—28no—
661C42—28no—
662C42—28no—
663C42—24no—
664C42—28no—
665C42—24no—
666C42—48no—
667C42—42no—
668C42—48no—
669C42—48no—
670C42—44no—
671C42—44no—
672C42—48no—
673C42H(5,𝔽2)14yes—
674C23—21no—
675C23—24no—
676C23—24no—
677C23—28no—
678C23—24no—
679C23—28no—
680C23—22no—
681C23—24no—
682C23—24no—
683C23—28no—
684C23—24no—
685C23—28no—
686C23—24no—
687C23—48no—
688C23—168no—
689C23—164no—
690C23C2611yescharacteristic
691Q8—48no—
692Q8—416no—
693D4—48no—
694D4—48no—
695D4—48no—
696D4—816no—
697D4—168no—
698D4—164no—
699D4—164no—
700C2×C4—24no—
701C2×C4—24no—
702C2×C4—24no—
703C2×C4—24no—
704C2×C4—22no—
705C2×C4—24no—
706C2×C4—24no—
707C2×C4—24no—
708C2×C4—28no—
709C2×C4—21no—
710C2×C4—24no—
711C2×C4—24no—
712C2×C4—24no—
713C2×C4—24no—
714C2×C4—24no—
715C2×C4—24no—
716C2×C4—24no—
717C2×C4—28no—
718C2×C4—24no—
719C2×C4—28no—
720C2×C4—28no—
721C2×C4—24no—
722C2×C4—28no—
723C2×C4—24no—
724C2×C4—24no—
725C2×C4—24no—
726C2×C4—28no—
727C2×C4—28no—
728C2×C4—28no—
729C2×C4—24no—
730C2×C4—24no—
731C2×C4—22no—
732C2×C4—44no—
733C2×C4—88no—
734C2×C4—88no—
735C2×C4—816no—
736C2×C4—164no—
737C2×C4C2×H(5,𝔽2)14yes—
738C2×C4C2×H(5,𝔽2)12yes—
739C2×C4#58518yes—
740C2×C4#58514yes—
741C22—41no—
742C22—44no—
743C22—44no—
744C22—48no—
745C22—48no—
746C22—48no—
747C22—48no—
748C22—44no—
749C22—44no—
750C22—44no—
751C22—44no—
752C22—44no—
753C22—42no—
754C22—168no—
755C22C22×H(5,𝔽2)11yescharacteristic
756C22C2×#58512yes—
757C22C2×#58514yes—
758C4—28no—
759C4—24no—
760C4—41no—
761C4—48no—
762C4—44no—
763C4—48no—
764C4—44no—
765C4—44no—
766C4—44no—
767C4—44no—
768C4—44no—
769C4—42no—
770C4—44no—
771C4#353914yes—
772C2—84no—
773C2—84no—
774C2—81no—
775C2C2×#353911yescharacteristic
776C2#6283612yes—
777C2#6302914yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35537C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59692C2semidirect
2. #55302C2semidirect
3. #49243C2semidirect
4. #48498C2semidirect
5. #46061C2semidirect
6. #45266C2semidirect
7. #45200C2semidirect
8. #44087C2semidirect
9. #42645C2semidirect
10. #40026C2semidirect
11. #39782C2semidirect
12. #37395C2semidirect
13. #36594C2semidirect
14. #36370C2semidirect
15. #36033C2semidirect
17. #34973C2semidirect
19. C2×#556C22semidirect
22. #2868C22semidirect
23. #2864C22semidirect
27. #2814C22semidirect
28. #2807C22semidirect
30. #2803C22semidirect
33. #2791C22semidirect
34. #2783C22semidirect
35. #2777C22semidirect
36. #2772C22semidirect
37. #2765C22semidirect
39. #2753C22semidirect
40. #2746C22semidirect
41. #2741C22semidirect
42. #2723C22semidirect
43. #2723C22semidirect
44. #2711C22semidirect
46. #2701C22semidirect
48. #2695C22semidirect
52. #2664C22semidirect
53. #2648C22semidirect
59. #2594C22semidirect
60. #2594C22semidirect
63. #2580C22semidirect
64. #2578C22semidirect
65. #2573C22semidirect
70. #2547C22semidirect
72. #2545C22semidirect
74. #2544C22semidirect
76. #2538C22semidirect
77. #2524C22semidirect
78. #2522C22semidirect
81. #2514C22semidirect
82. #2512C22semidirect
83. #2512C22semidirect
84. #2510C22semidirect
85. #2507C22semidirect
87. #2498C22semidirect
90. #2479C22semidirect
91. #2479C22semidirect
92. #2479C22semidirect
93. #2476C22semidirect
94. #2471C22semidirect
97. #2468C22semidirect
98. #2462C22semidirect
99. #2458C22semidirect
101. #2453C22semidirect
104. #2448C22semidirect
106. #2446C22semidirect
114. #2402C22semidirect
115. #2399C22semidirect
120. #2367C22semidirect
122. #2359C22semidirect
124. #2354C22semidirect
125. #2351C22semidirect
126. #2349C22semidirect
127. #2347C22semidirect
128. #2334C22semidirect
129. #2333C22semidirect
131. #2327C22semidirect
132. C4×C4⋊Q8C22semidirect
134. C4×#125C22semidirect
137. #2293C22semidirect
138. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#596922
#553022
#492432
#484982
#460612
#452662
#452002
#440872
#426452
#400262
#397822
#373952
#365942
#363702
#360332
#355372
#349732