Finite Group Databasebeta

← #8096960

Subgroups — #8096960

Order 512.

4116 conjugacy classes of subgroups.

The subgroup lattice has 765 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52941C213yesmaximal, complemented
2#52921C216yesmaximal, complemented
3#52763C213yesmaximal, complemented
4#52525C216yesmaximal, complemented
5#52178C213yesmaximal, complemented
6#46221C216yesmaximal, complemented
7#45950C216yesmaximal, complemented
8#45900C216yesmaximal, complemented
9#45694C213yesmaximal
10#45466C216yesmaximal, complemented
11#36389C216yesmaximal, complemented
12#36206C213yesmaximal, complemented
13#36081C213yesmaximal, complemented
14#35851C213yesmaximal, complemented
15#2866C2216yescomplemented
16#2865C2216yescomplemented
17#2863C2216yescomplemented
18#2849C2216yes—
19#2848C2213yescomplemented
20#2845C2212yescomplemented
21#2844C2211yescharacteristic, complemented
22#2844C2212yescomplemented
23#2843C2213yescomplemented
24#2841C2216yescomplemented
25#2841C2213yescomplemented
26#2840C2211yescharacteristic, complemented
27#2839C2216yescomplemented
28#2839C2216yescomplemented
29#2838C2216yescomplemented
30#2836C2216yescomplemented
31#2831C2216yescomplemented
32#2831C2216yescomplemented
33#2827C2216yes—
34#2814C2216yes—
35#2810C2212yescomplemented
36#2810C2212yescomplemented
37#2794C2213yescomplemented
38#2789C2213yescomplemented
39#2787C2216yescomplemented
40#2784C2216yes—
41#2781C2216yes—
42#2777C2216yescomplemented
43#2773C2216yescomplemented
44#2770C2216yescomplemented
45#2768C2216yescomplemented
46#2766C2216yescomplemented
47#2764C2213yescomplemented
48#2761C2216yes—
49#2747C2216yescomplemented
50#2744C2216yescomplemented
51#2743C2216yes—
52#2742C2213yescomplemented
53#2741C2216yes—
54#2740C2216yes—
55#2739C2216yescomplemented
56#2738C2216yescomplemented
57#2737C2216yes—
58#2737C2216yes—
59#2736C2212yescomplemented
60#2736C2212yescomplemented
61#2736C2211yescharacteristic, complemented
62#2735C2213yescomplemented
63#2735C2213yescomplemented
64#2722C2213yescomplemented
65#2718C2216yes—
66#2698C2216yescomplemented
67#2697C2216yes—
68#2697C2213yes—
69#2687C2216yes—
70#2685C2216yes—
71#2679C2211yescharacteristic
72#2667C2213yescomplemented
73#2652C2216yescomplemented
74#2637C2216yescomplemented
75#2634C2213yescomplemented
76#2606C2213yescomplemented
77#2601C2216yes—
78#2599C2216yescomplemented
79#2599C2216yescomplemented
80#2597C2216yes—
81#2590C2216yescomplemented
82#2590C2216yescomplemented
83#2588C2216yescomplemented
84#2578C2216yes—
85#2575C2216yescomplemented
86#2574C2216yescomplemented
87#2573C2216yescomplemented
88#2570C2216yescomplemented
89#2569C2213yescomplemented
90#2566C2213yes—
91#2564C2213yes—
92#2560C2216yes—
93#2558C2216yes—
94#2553C2216yes—
95#2534C2213yes—
96#2532C2216yescomplemented
97#2525C2216yescomplemented
98#2524C2216yescomplemented
99#2524C2216yescomplemented
100#2522C2216yescomplemented
101#2522C2216yescomplemented
102#2516C2216yes—
103#2515C2216yescomplemented
104#2515C2216yescomplemented
105#2510C2216yes—
106#2505C2216yescomplemented
107#2498C2216yes—
108#2495C2216yescomplemented
109#2493C2216yescomplemented
110#2493C2216yescomplemented
111#2488C2216yes—
112#2482C2213yescomplemented
113#2480C2216yescomplemented
114#2478C2216yescomplemented
115#2470C2216yes—
116#2469C2216yescomplemented
117#2468C2216yes—
118#2465C2216yescomplemented
119#2462C2216yescomplemented
120#2458C2216yes—
121#2438C2216yescomplemented
122#2419C2216yes—
123#2418C2216yes—
124#2398C2213yes—
125#2396C2216yescomplemented
126#2395C2213yes—
127#2395C2216yes—
128#2378C2216yescomplemented
129#2376C2216yes—
130#2376C2213yes—
131#2375C2213yes—
132#2373C2216yescomplemented
133#2371C2213yescomplemented
134#2368C2213yescomplemented
135#2359C2216yes—
136#2353C2213yes—
137#2347C2213yescomplemented
138#2343C2216yescomplemented
139C4×#126C2216yescomplemented
140C4×#120C2213yes—
141#2298C2216yescomplemented
142#2293C2216yes—
143#2280C2216yescomplemented
144#2276C2211yescharacteristic, complemented
145#2273C2211yescharacteristic, complemented
146C42×Q8C2212yescomplemented
147C22×#95C2211yescharacteristic, complemented
148C24×C4C2313yes—
149C2×#126C2316yes—
150C2×#126C2316yes—
151C2×#125C2313yes—
152C2×#123C2316yes—
153C2×#123C2316yes—
154C2×#123C2313yes—
155C2×C22⋊Q8C2313yes—
156C2×C22⋊Q8C2316yes—
157C2×#120C2313yes—
158C2×#120C2313yes—
159C2×C4×Q8C2316yes—
160C2×C4×Q8C2313yes—
161C2×C4×D4C2313yes—
162C2×C4×D4C2316yes—
163C2×#117C2316yes—
164C2×#117C2313yes—
165C2×#117C2316yes—
166C22×C22⋊C4C2313yes—
167#401C2316yes—
168#400C2313yes—
169#400C2316yes—
170#400C2316yes—
171#400C2316yes—
172#400C2316yes—
173#400C2316yes—
174#400C2316yes—
175#400C2316yes—
176#400C2316yes—
177#400C2316yes—
178#400C2316yes—
179#400C2316yes—
180#400C2316yes—
181#400C2316yes—
182#400C2316yes—
183#400C2316yes—
184#400C2316yes—
185#400C2313yes—
186#399C2313yes—
187#399C2316yes—
188#399C2313yes—
189#399C2316yes—
190#399C2316yes—
191#398C2316yes—
192#398C2316yes—
193#398C2316yes—
194#398C2316yes—
195#398C2316yes—
196#398C2316yes—
197#398C2316yes—
198#398C2316yes—
199#398C2316yes—
200#398C2316yes—
201#398C2316yes—
202#398C2316yes—
203#398C2316yes—
204#398C2316yes—
205#398C2316yes—
206#398C2316yes—
207#398C2316yes—
208#398C2313yes—
209#397C2316yes—
210#397C2316yes—
211#397C2316yes—
212#397C2316yes—
213#397C2316yes—
214#397C2316yes—
215#397C2316yes—
216#397C2316yes—
217#397C2316yes—
218#397C2316yes—
219#397C2316yes—
220#397C2316yes—
221#397C2313yes—
222#397C2313yes—
223#397C2313yes—
224#396C2316yes—
225#396C2316yes—
226#396C2316yes—
227#396C2316yes—
228#396C2316yes—
229#396C2316yes—
230#396C2316yes—
231#396C2316yes—
232#395C2313yes—
233#395C2316yes—
234#395C2316yes—
235#395C2316yes—
236#395C2316yes—
237#394C2316yes—
238#394C2316yes—
239#394C2316yes—
240#394C2316yes—
241#394C2316yes—
242#394C2316yes—
243#393C2316yes—
244#393C2313yes—
245#393C2316yes—
246#393C2313yes—
247#393C2316yes—
248#393C2313yes—
249#391C2316yes—
250#391C2316yes—
251#391C2316yes—
252#390C2316yes—
253#390C2313yes—
254#390C2313yes—
255#390C2316yes—
256#389C2316yes—
257#389C2316yes—
258#389C2316yes—
259#389C2316yes—
260#389C2316yes—
261#389C2316yes—
262#389C2316yes—
263#389C2316yes—
264#389C2316yes—
265#389C2316yes—
266#388C2316yes—
267#388C2316yes—
268#388C2316yes—
269#388C2316yes—
270#388C2316yes—
271#388C2316yes—
272#388C2316yes—
273#388C2316yes—
274#388C2316yes—
275#388C2316yes—
276#388C2316yes—
277#388C2316yes—
278#388C2316yes—
279#388C2316yes—
280#388C2316yes—
281#388C2316yes—
282#388C2316yes—
283#388C2316yes—
284#388C2316yes—
285#388C2316yes—
286#388C2316yes—
287#388C2316yes—
288#388C2316yes—
289#388C2316yes—
290#388C2316yes—
291#388C2316yes—
292#388C2316yes—
293#388C2316yes—
294#387C2316yes—
295#387C2316yes—
296#387C2316yes—
297#387C2316yes—
298#387C2316yes—
299#387C2316yes—
300#387C2316yes—
301#387C2316yes—
302#387C2316yes—
303#387C2316yes—
304#387C2316yes—
305#387C2316yes—
306#387C2316yes—
307#387C2316yes—
308#387C2316yes—
309#387C2316yes—
310#387C2316yes—
311#387C2316yes—
312#387C2316yes—
313#387C2316yes—
314#387C2316yes—
315#387C2316yes—
316#387C2316yes—
317#387C2316yes—
318#387C2316yes—
319#387C2316yes—
320#387C2316yes—
321#387C2316yes—
322#387C2316yes—
323#387C2316yes—
324#387C2316yes—
325#387C2316yes—
326#387C2316yes—
327#387C2316yes—
328#386C2316yes—
329#386C2316yes—
330#386C2316yes—
331#386C2316yes—
332#386C2316yes—
333#386C2313yes—
334#386C2316yes—
335#385C2316yes—
336#385C2316yes—
337#385C2316yes—
338#385C2316yes—
339#385C2313yes—
340#385C2316yes—
341#385C2316yes—
342#385C2316yes—
343#385C2316yes—
344#385C2316yes—
345#385C2316yes—
346#385C2316yes—
347#385C2316yes—
348#384C2313yes—
349#383C2316yes—
350#383C2316yes—
351#383C2316yes—
352#383C2316yes—
353#383C2313yes—
354#382C2313yes—
355#382C2316yes—
356#382C2316yes—
357#382C2316yes—
358#381C2316yes—
359#381C2313yes—
360#381C2316yes—
361#381C2313yes—
362#381C2316yes—
363#381C2316yes—
364#380C2316yes—
365#380C2313yes—
366#380C2316yes—
367#380C2313yes—
368#380C2316yes—
369#380C2316yes—
370#380C2316yes—
371#380C2316yes—
372#380C2316yes—
373#379C2313yes—
374#379C2316yes—
375#379C2316yes—
376#379C2313yes—
377C4×C4⋊C4C2316yes—
378C4×C4⋊C4C2316yes—
379C4×C4⋊C4C2316yes—
380C4×C4⋊C4C2316yes—
381C4×C4⋊C4C2313yes—
382C4×C4⋊C4C2316yes—
383C4×C4⋊C4C2316yes—
384C4×C4⋊C4C2316yes—
385C4×C4⋊C4C2316yes—
386C4×C22⋊C4C2313yes—
387C4×C22⋊C4C2316yes—
388C4×C22⋊C4C2316yes—
389C4×C22⋊C4C2316yes—
390C4×C22⋊C4C2316yes—
391C4×C22⋊C4C2316yes—
392C4×C22⋊C4C2316yes—
393C4×C22⋊C4C2313yes—
394C4×C22⋊C4C2316yes—
395C4×C22⋊C4C2313yes—
396#376C2313yes—
397#376C2313yes—
398C2×#95C2313yes—
399C2×#95C2313yes—
400C2×#95C2316yes—
401C43C2316yes—
402C25C2411yescharacteristic
403C25C2411yescharacteristic
404C22×Q8C2412yes—
405C22×Q8C2411yescharacteristic
406C22×Q8C2413yes—
407C22×D4C2416yes—
408C22×D4C2413yes—
409C23×C4—46no—
410C23×C4—412no—
411C23×C4C2416yes—
412C23×C4C2413yes—
413C23×C4C2413yes—
414C23×C4C2416yes—
415C23×C4C2413yes—
416C23×C4C2413yes—
417#126—412no—
418#126—412no—
419#125—46no—
420#123—46no—
421#123—412no—
422#123—412no—
423C22⋊Q8—412no—
424C22⋊Q8—46no—
425#120—46no—
426#120—46no—
427C4×Q8—46no—
428C4×Q8—412no—
429C4×D4—46no—
430C4×D4—412no—
431#117—46no—
432#117—412no—
433#117—412no—
434C2×C4⋊C4C2416yes—
435C2×C4⋊C4C2416yes—
436C2×C4⋊C4C2413yes—
437C2×C4⋊C4C2416yes—
438C2×C4⋊C4C2416yes—
439C2×C4⋊C4C2416yes—
440C2×C4⋊C4C2416yes—
441C2×C4⋊C4C2413yes—
442C2×C4⋊C4C2413yes—
443C2×C4⋊C4C2416yes—
444C2×C4⋊C4C2416yes—
445C2×C4⋊C4C2416yes—
446C2×C4⋊C4C2413yes—
447C2×C4⋊C4C2416yes—
448C2×C4⋊C4C2413yes—
449C2×C4⋊C4C2416yes—
450C2×C4⋊C4C2416yes—
451C2×C4⋊C4C2416yes—
452C2×C4⋊C4C2416yes—
453C2×C4⋊C4C2416yes—
454C2×C4⋊C4C2416yes—
455C2×C4⋊C4C2416yes—
456C2×C4⋊C4C2413yes—
457C2×C4⋊C4C2413yes—
458C2×C4⋊C4C2416yes—
459C2×C4⋊C4C2416yes—
460C2×C4⋊C4C2416yes—
461C2×C4⋊C4C2416yes—
462C2×C4⋊C4C2416yes—
463C2×C4⋊C4C2416yes—
464C2×C4⋊C4C2416yes—
465C2×C22⋊C4—46no—
466C2×C22⋊C4C2416yes—
467C2×C22⋊C4C2416yes—
468C2×C22⋊C4C2416yes—
469C2×C22⋊C4C2413yes—
470C2×C22⋊C4C2416yes—
471C2×C22⋊C4C2416yes—
472C2×C22⋊C4C2416yes—
473C2×C22⋊C4C2416yes—
474C2×C22⋊C4C2416yes—
475C2×C22⋊C4C2413yes—
476C2×C22⋊C4C2416yes—
477C2×C22⋊C4C2413yes—
478C2×C22⋊C4C2416yes—
479C2×C22⋊C4C2413yes—
480C2×C22⋊C4C2416yes—
481C2×C22⋊C4C2416yes—
482C2×C22⋊C4C2416yes—
483C2×C22⋊C4C2416yes—
484C2×C22⋊C4C2413yes—
485C2×C22⋊C4C2416yes—
486C2×C22⋊C4C2416yes—
487C2×C22⋊C4C2416yes—
488C2×C22⋊C4C2416yes—
489C2×C22⋊C4C2413yes—
490C2×C22⋊C4C2416yes—
491C2×C22⋊C4C2416yes—
492C2×C42C2416yes—
493C2×C42C2416yes—
494C2×C42C2413yes—
495C2×C42C2416yes—
496C2×C42C2416yes—
497C2×C42C2416yes—
498C2×C42C2416yes—
499C2×C42C2416yes—
500C2×C42C2416yes—
501C2×C42C2412yes—
502C2×C42C2412yes—
503C2×C42C2411yescharacteristic
504C2×C42C2412yes—
505C2×C42C2413yes—
506#95C2411yescharacteristic
507#95C2413yes—
508#95C2416yes—
509#95C2411yescharacteristic
510#95C2413yes—
511#95C2412yes—
512#95C2413yes—
513#95C2416yes—
514#95C2413yes—
515#95C2416yes—
516#95C2413yes—
517#95C2413yes—
518#95C2411yescharacteristic
519#95C2413yes—
520#95C2416yes—
521#95C2416yes—
522#95C2416yes—
523#95C2416yes—
524#95C2416yes—
525#95C2416yes—
526#95C2416yes—
527#95C2416yes—
528#95C2416yes—
529#95C2416yes—
530#95C2416yes—
531#95C2416yes—
532#95C2416yes—
533#95C2416yes—
534#95C2412yes—
535#95C2412yes—
536#95C2416yes—
537#95C2416yes—
538#95C2416yes—
539#95C2416yes—
540#95C2416yes—
541#95C2416yes—
542#95C2416yes—
543#95C2416yes—
544#95C2416yes—
545#95C2416yes—
546#95C2416yes—
547#95C2416yes—
548#95C2416yes—
549#95C2416yes—
550#95C2416yes—
551#95C2416yes—
552#95C2416yes—
553#95C2416yes—
554#95C2416yes—
555C24—26no—
556C24—43no—
557C24—41no—
558C24—43no—
559C24—43no—
560C24—41no—
561C24C2513yes—
562C24C2513yes—
563C2×Q8—43no—
564C2×Q8—46no—
565C2×Q8—46no—
566C2×Q8—43no—
567C2×D4—212no—
568C2×D4—26no—
569C2×D4—43no—
570C2×D4—46no—
571C2×D4—46no—
572C2×D4—43no—
573C22×C4—212no—
574C22×C4—212no—
575C22×C4—212no—
576C22×C4—26no—
577C22×C4—26no—
578C22×C4—46no—
579C22×C4—46no—
580C22×C4—46no—
581C22×C4—43no—
582C22×C4—46no—
583C22×C4—46no—
584C22×C4—46no—
585C22×C4—43no—
586C22×C4—43no—
587C22×C4—43no—
588C22×C4—824no—
589C22×C4C2513yes—
590C22×C4C2516yes—
591C22×C4C2513yes—
592C22×C4C2516yes—
593C22×C4C2516yes—
594C22×C4C2516yes—
595C22×C4C2513yes—
596C22×C4C2516yes—
597C22×C4C2516yes—
598C22×C4C2516yes—
599C22×C4C2513yes—
600C22×C4C2513yes—
601C4⋊C4—212no—
602C4⋊C4—212no—
603C4⋊C4—46no—
604C4⋊C4—46no—
605C4⋊C4—43no—
606C4⋊C4—46no—
607C4⋊C4—43no—
608C4⋊C4—46no—
609C4⋊C4—46no—
610C4⋊C4—46no—
611C4⋊C4—43no—
612C4⋊C4—46no—
613C4⋊C4—43no—
614C4⋊C4—46no—
615C4⋊C4—46no—
616C4⋊C4—46no—
617C4⋊C4—46no—
618C4⋊C4—46no—
619C4⋊C4—43no—
620C4⋊C4—46no—
621C4⋊C4—46no—
622C4⋊C4—46no—
623C4⋊C4—46no—
624C4⋊C4—46no—
625C4⋊C4—43no—
626C4⋊C4—43no—
627C4⋊C4—46no—
628C4⋊C4—46no—
629C4⋊C4—46no—
630C4⋊C4—46no—
631C4⋊C4—46no—
632C22⋊C4—212no—
633C22⋊C4—212no—
634C22⋊C4—26no—
635C22⋊C4—212no—
636C22⋊C4—212no—
637C22⋊C4—46no—
638C22⋊C4—46no—
639C22⋊C4—46no—
640C22⋊C4—43no—
641C22⋊C4—46no—
642C22⋊C4—46no—
643C22⋊C4—46no—
644C22⋊C4—43no—
645C22⋊C4—43no—
646C22⋊C4—46no—
647C22⋊C4—46no—
648C22⋊C4—43no—
649C22⋊C4—46no—
650C22⋊C4—46no—
651C22⋊C4—43no—
652C22⋊C4—46no—
653C22⋊C4—46no—
654C22⋊C4—46no—
655C22⋊C4—46no—
656C22⋊C4—46no—
657C22⋊C4—46no—
658C42—212no—
659C42—212no—
660C42—26no—
661C42—42no—
662C42—43no—
663C42—41no—
664C42—42no—
665C42—42no—
666C42—46no—
667C42—46no—
668C42—46no—
669C42—46no—
670C42—46no—
671C42—46no—
672C23—26no—
673C23—23no—
674C23—26no—
675C23—23no—
676C23—26no—
677C23—26no—
678C23—23no—
679C23—23no—
680C23—23no—
681C23—412no—
682C23—412no—
683C23—44no—
684C23—44no—
685C23—163no—
686C23—163no—
687C23#58516yes—
688C23C2611yescharacteristic
689Q8—44no—
690Q8—48no—
691Q8—163no—
692D4—812no—
693D4—86no—
694C2×C4—26no—
695C2×C4—26no—
696C2×C4—26no—
697C2×C4—26no—
698C2×C4—26no—
699C2×C4—23no—
700C2×C4—23no—
701C2×C4—26no—
702C2×C4—26no—
703C2×C4—26no—
704C2×C4—26no—
705C2×C4—26no—
706C2×C4—26no—
707C2×C4—26no—
708C2×C4—26no—
709C2×C4—26no—
710C2×C4—26no—
711C2×C4—26no—
712C2×C4—26no—
713C2×C4—26no—
714C2×C4—23no—
715C2×C4—23no—
716C2×C4—26no—
717C2×C4—26no—
718C2×C4—26no—
719C2×C4—26no—
720C2×C4—23no—
721C2×C4—26no—
722C2×C4—23no—
723C2×C4—26no—
724C2×C4—26no—
725C2×C4—424no—
726C2×C4—86no—
727C2×C4—86no—
728C2×C4—812no—
729C2×C4—86no—
730C2×C4—163no—
731C2×C4#58516yes—
732C22—212no—
733C22—26no—
734C22—416no—
735C22—43no—
736C22—46no—
737C22—43no—
738C22—43no—
739C22—46no—
740C22—43no—
741C22—46no—
742C22—43no—
743C22—164no—
744C22C2×#58513yes—
745C22C2×#58513yes—
746C222−1+611yescharacteristic
747C4—26no—
748C4—46no—
749C4—43no—
750C4—43no—
751C4—46no—
752C4—46no—
753C4—46no—
754C4—46no—
755C4—46no—
756C4—43no—
757C4—43no—
758C4—46no—
759C2—46no—
760C2—83no—
761C2#6269411yescharacteristic
762C2#6293413yes—
763C2#6302613yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2679C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #52941C2semidirect
2. #52921C2semidirect
3. #52763C2semidirect
4. #52525C2semidirect
5. #52178C2semidirect
6. #46221C2semidirect
7. #45950C2semidirect
8. #45900C2semidirect
10. #45466C2semidirect
11. #36389C2semidirect
12. #36206C2semidirect
13. #36081C2semidirect
14. #35851C2semidirect
15. #2866C22semidirect
16. #2865C22semidirect
17. #2863C22semidirect
19. #2848C22semidirect
20. #2845C22semidirect
21. #2844C22semidirect
22. #2844C22semidirect
23. #2843C22semidirect
24. #2841C22semidirect
25. #2841C22semidirect
26. #2840C22semidirect
27. #2839C22semidirect
28. #2839C22semidirect
29. #2838C22semidirect
30. #2836C22semidirect
31. #2831C22semidirect
32. #2831C22semidirect
35. #2810C22semidirect
36. #2810C22semidirect
37. #2794C22semidirect
38. #2789C22semidirect
39. #2787C22semidirect
42. #2777C22semidirect
43. #2773C22semidirect
44. #2770C22semidirect
45. #2768C22semidirect
46. #2766C22semidirect
47. #2764C22semidirect
49. #2747C22semidirect
50. #2744C22semidirect
52. #2742C22semidirect
55. #2739C22semidirect
56. #2738C22semidirect
59. #2736C22semidirect
60. #2736C22semidirect
61. #2736C22semidirect
62. #2735C22semidirect
63. #2735C22semidirect
64. #2722C22semidirect
66. #2698C22semidirect
72. #2667C22semidirect
73. #2652C22semidirect
74. #2637C22semidirect
75. #2634C22semidirect
76. #2606C22semidirect
78. #2599C22semidirect
79. #2599C22semidirect
81. #2590C22semidirect
82. #2590C22semidirect
83. #2588C22semidirect
85. #2575C22semidirect
86. #2574C22semidirect
87. #2573C22semidirect
88. #2570C22semidirect
89. #2569C22semidirect
96. #2532C22semidirect
97. #2525C22semidirect
98. #2524C22semidirect
99. #2524C22semidirect
100. #2522C22semidirect
101. #2522C22semidirect
103. #2515C22semidirect
104. #2515C22semidirect
106. #2505C22semidirect
108. #2495C22semidirect
109. #2493C22semidirect
110. #2493C22semidirect
112. #2482C22semidirect
113. #2480C22semidirect
114. #2478C22semidirect
116. #2469C22semidirect
118. #2465C22semidirect
119. #2462C22semidirect
121. #2438C22semidirect
125. #2396C22semidirect
128. #2378C22semidirect
132. #2373C22semidirect
133. #2371C22semidirect
134. #2368C22semidirect
137. #2347C22semidirect
138. #2343C22semidirect
139. C4×#126C22semidirect
141. #2298C22semidirect
143. #2280C22semidirect
144. #2276C22semidirect
145. #2273C22semidirect
146. C42×Q8C22semidirect
147. C22×#95C22semidirect

Maximal subgroups

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

subgroupindex
#529412
#529212
#527632
#525252
#521782
#462212
#459502
#459002
#456942
#454662
#363892
#362062
#360812
#358512