Finite Group Databasebeta

← #8933202

Subgroups — #8933202

Order 512.

4404 conjugacy classes of subgroups.

The subgroup lattice has 784 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60027C212yesmaximal, complemented
2#59572C216yesmaximal, complemented
3#59192C213yesmaximal
4#59192C211yesmaximal, characteristic
5#51001C216yesmaximal, complemented
6#50962C216yesmaximal, complemented
7#48950C216yesmaximal, complemented
8#48797C213yesmaximal, complemented
9#48794C213yesmaximal, complemented
10#48497C216yesmaximal, complemented
11#48387C216yesmaximal, complemented
12#47151C213yesmaximal, complemented
13#46882C213yesmaximal, complemented
14#35488C216yesmaximal, complemented
15#35369C213yesmaximal
16#2835C2211yescharacteristic, complemented
17#2834C2211yescharacteristic, complemented
18#2807C2213yescomplemented
19#2790C2216yescomplemented
20#2790C2216yescomplemented
21#2790C2216yescomplemented
22#2788C2216yescomplemented
23#2787C2216yescomplemented
24#2787C2216yescomplemented
25#2787C2216yescomplemented
26#2771C2216yescomplemented
27#2770C2216yescomplemented
28#2770C2216yescomplemented
29#2770C2216yescomplemented
30#2768C2216yescomplemented
31#2765C2216yescomplemented
32#2765C2216yescomplemented
33#2764C2216yescomplemented
34#2763C2213yescomplemented
35#2747C2216yescomplemented
36#2747C2216yescomplemented
37#2745C2216yescomplemented
38#2744C2216yescomplemented
39#2739C2216yescomplemented
40#2738C2216yescomplemented
41#2736C2213yes—
42#2736C2211yescharacteristic
43#2735C2213yes—
44#2735C2216yes—
45#2735C2213yes—
46#2722C2216yescomplemented
47#2722C2213yescomplemented
48#2722C2213yescomplemented
49#2698C2216yescomplemented
50#2698C2216yescomplemented
51#2689C2216yescomplemented
52#2689C2216yescomplemented
53#2667C2213yescomplemented
54#2665C2213yescomplemented
55#2652C2216yescomplemented
56#2652C2216yescomplemented
57#2625C2213yescomplemented
58#2625C2213yescomplemented
59#2608C2216yescomplemented
60#2589C2216yescomplemented
61#2589C2216yescomplemented
62#2587C2216yescomplemented
63#2587C2216yescomplemented
64#2577C2216yescomplemented
65#2577C2216yescomplemented
66#2577C2216yescomplemented
67#2575C2216yescomplemented
68#2574C2216yescomplemented
69#2573C2216yescomplemented
70#2573C2216yescomplemented
71#2573C2216yescomplemented
72#2561C2213yes—
73#2561C2213yes—
74#2561C2216yes—
75#2530C2216yescomplemented
76#2530C2216yescomplemented
77#2530C2216yescomplemented
78#2527C2216yescomplemented
79#2523C2216yescomplemented
80#2523C2213yescomplemented
81#2522C2216yescomplemented
82#2517C2213yescomplemented
83#2517C2216yescomplemented
84#2515C2216yescomplemented
85#2515C2216yescomplemented
86#2515C2216yescomplemented
87#2499C2216yescomplemented
88#2496C2216yescomplemented
89#2496C2216yescomplemented
90#2495C2216yescomplemented
91#2494C2216yescomplemented
92#2483C2216yes—
93#2483C2213yes—
94#2483C2213yes—
95#2482C2213yes—
96#2482C2213yes—
97#2482C2216yes—
98#2480C2216yes—
99#2480C2216yes—
100#2480C2216yes—
101#2480C2216yes—
102#2480C2216yes—
103#2480C2216yes—
104#2480C2216yes—
105#2480C2216yes—
106#2480C2216yes—
107#2480C2216yes—
108#2480C2216yes—
109#2480C2216yes—
110#2480C2216yes—
111#2480C2216yes—
112#2480C2216yes—
113#2480C2216yes—
114#2478C2216yescomplemented
115#2478C2216yescomplemented
116#2478C2216yescomplemented
117#2478C2216yescomplemented
118#2437C2216yes—
119#2437C2213yes—
120#2437C2213yes—
121#2383C2216yescomplemented
122#2378C2213yescomplemented
123#2378C2213yescomplemented
124#2373C2216yescomplemented
125#2347C2213yescomplemented
126#2346C2213yescomplemented
127#2342C2216yes—
128#2342C2216yes—
129#2342C2216yes—
130#2342C2216yes—
131#2334C2216yescomplemented
132#2334C2216yescomplemented
133#2332C2216yescomplemented
134#2315C2213yes—
135#2315C2213yes—
136#2315C2213yes—
137C4×#126C2212yescomplemented
138C4×#126C2216yescomplemented
139#2298C2216yescomplemented
140C2×#379C2211yescharacteristic
141C2×#379C2213yes—
142C2×#379C2213yes—
143#2273C2213yes—
144C26C2311yescharacteristic
145C2×#126C2316yes—
146C2×#126C2312yes—
147C2×#126C2316yes—
148C2×#126C2316yes—
149C2×#126C2316yes—
150C2×#126C2316yes—
151C2×C22⋊Q8C2316yes—
152C2×C22⋊Q8C2313yes—
153C2×C22⋊Q8C2313yes—
154C2×#117C2313yes—
155C2×#117C2313yes—
156C2×#117C2316yes—
157C22×C22⋊C4C2313yes—
158C22×C22⋊C4C2313yes—
159C22×C22⋊C4C2313yes—
160C22×C22⋊C4C2313yes—
161C22×C22⋊C4C2313yes—
162C22×C22⋊C4C2313yes—
163C22×C22⋊C4C2316yes—
164C22×C22⋊C4C2316yes—
165C22×C22⋊C4C2316yes—
166C22×C22⋊C4C2316yes—
167#401C2312yescomplemented
168#401C2316yescomplemented
169#400C2316yescomplemented
170#400C2316yescomplemented
171#400C2316yescomplemented
172#400C2316yescomplemented
173#400C2316yescomplemented
174#400C2316yescomplemented
175#400C2316yescomplemented
176#400C2316yescomplemented
177#400C2316yescomplemented
178#400C2316yescomplemented
179#400C2316yescomplemented
180#400C2316yescomplemented
181#399C2313yes—
182#399C2311yescharacteristic
183#399C2313yes—
184#399C2316yes—
185#399C2313yes—
186#398C2316yescomplemented
187#398C2316yescomplemented
188#398C2316yescomplemented
189#398C2316yescomplemented
190#398C2316yescomplemented
191#398C2316yescomplemented
192#398C2316yescomplemented
193#398C2316yescomplemented
194#398C2316yescomplemented
195#398C2316yescomplemented
196#398C2316yescomplemented
197#398C2316yescomplemented
198#397C2313yes—
199#397C2316yes—
200#397C2313yes—
201#397C2313yes—
202#397C2313yes—
203#397C2316yes—
204#397C2316yes—
205#397C2316yes—
206#397C2316yes—
207#397C2316yes—
208#397C2313yes—
209#397C2316yes—
210#397C2316yes—
211#397C2316yes—
212#397C2316yes—
213#397C2313yes—
214#397C2316yes—
215#397C2316yes—
216#397C2316yes—
217#397C2316yes—
218#397C2316yes—
219#397C2316yes—
220#397C2313yes—
221#397C2316yes—
222#397C2316yes—
223#397C2313yes—
224#397C2316yes—
225#397C2316yes—
226#396C2316yes—
227#396C2316yes—
228#396C2316yes—
229#396C2316yes—
230#396C2316yes—
231#396C2316yes—
232#396C2316yes—
233#396C2316yes—
234#395C2312yescomplemented
235#395C2316yescomplemented
236#393C2311yescharacteristic
237#393C2313yes—
238#393C2313yes—
239#393C2316yes—
240#393C2313yes—
241#391C2316yescomplemented
242#391C2316yescomplemented
243#391C2316yescomplemented
244#391C2316yescomplemented
245#389C2316yescomplemented
246#389C2316yescomplemented
247#389C2316yescomplemented
248#389C2316yescomplemented
249#389C2316yescomplemented
250#389C2316yescomplemented
251#389C2316yescomplemented
252#389C2316yescomplemented
253#389C2316yescomplemented
254#389C2316yescomplemented
255#389C2316yescomplemented
256#389C2316yescomplemented
257#388C2316yes—
258#388C2316yes—
259#388C2316yes—
260#388C2316yes—
261#388C2316yes—
262#388C2316yes—
263#388C2316yes—
264#388C2316yes—
265#388C2316yes—
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#387C2316yescomplemented
290#387C2316yescomplemented
291#387C2316yescomplemented
292#387C2316yescomplemented
293#387C2316yescomplemented
294#387C2316yescomplemented
295#387C2316yescomplemented
296#387C2316yescomplemented
297#387C2316yescomplemented
298#387C2316yescomplemented
299#387C2316yescomplemented
300#387C2316yescomplemented
301#387C2316yescomplemented
302#387C2316yescomplemented
303#387C2316yescomplemented
304#387C2316yescomplemented
305#387C2316yescomplemented
306#387C2316yescomplemented
307#387C2316yescomplemented
308#387C2316yescomplemented
309#387C2316yescomplemented
310#387C2316yescomplemented
311#387C2316yescomplemented
312#387C2316yescomplemented
313#387C2316yescomplemented
314#387C2316yescomplemented
315#387C2316yescomplemented
316#387C2316yescomplemented
317#385C2316yes—
318#385C2316yes—
319#385C2316yes—
320#385C2316yes—
321#385C2313yes—
322#385C2313yes—
323#385C2316yes—
324#385C2316yes—
325#385C2316yes—
326#385C2316yes—
327#385C2316yes—
328#385C2316yes—
329#385C2313yes—
330#385C2313yes—
331#385C2316yes—
332#385C2316yes—
333#385C2316yes—
334#385C2316yes—
335#385C2316yes—
336#385C2316yes—
337#385C2316yes—
338#385C2316yes—
339#385C2316yes—
340#385C2316yes—
341#385C2316yes—
342#385C2316yes—
343#384C2316yescomplemented
344#383C2316yescomplemented
345#383C2312yescomplemented
346#383C2316yescomplemented
347#383C2316yescomplemented
348#382C2316yescomplemented
349#382C2316yescomplemented
350#382C2316yescomplemented
351#381C2316yes—
352#381C2316yes—
353#381C2316yes—
354#381C2316yes—
355#381C2316yes—
356#381C2313yes—
357#381C2313yes—
358#380C2316yes—
359#380C2316yes—
360#380C2313yes—
361#380C2313yes—
362#380C2313yes—
363#380C2313yes—
364#380C2316yes—
365#380C2316yes—
366#380C2316yes—
367#380C2316yes—
368#380C2316yes—
369#380C2316yes—
370#379C2316yes—
371#379C2316yes—
372#379C2316yes—
373#379C2316yes—
374#379C2313yes—
375#379C2313yes—
376#379C2313yes—
377#379C2313yes—
378#379C2316yes—
379#379C2316yes—
380#379C2312yes—
381#379C2316yes—
382C4×C4⋊C4C2316yescomplemented
383C4×C4⋊C4C2316yescomplemented
384C4×C4⋊C4C2316yescomplemented
385C4×C4⋊C4C2316yescomplemented
386C4×C4⋊C4C2316yescomplemented
387C4×C4⋊C4C2316yescomplemented
388C4×C22⋊C4C2316yes—
389C4×C22⋊C4C2316yes—
390C4×C22⋊C4C2316yes—
391C4×C22⋊C4C2316yes—
392C4×C22⋊C4C2313yes—
393C4×C22⋊C4C2316yes—
394C4×C22⋊C4C2313yes—
395C4×C22⋊C4C2316yes—
396C4×C22⋊C4C2316yes—
397C4×C22⋊C4C2316yes—
398C4×C22⋊C4C2316yes—
399C4×C22⋊C4C2316yes—
400C4×C22⋊C4C2316yes—
401#376C2316yescomplemented
402C43C2312yescomplemented
403C25—42no—
404C25—46no—
405C25—46no—
406C25C2413yes—
407C25C2413yes—
408C25C2411yescharacteristic
409C22×Q8C2413yes—
410C22×Q8C2411yescharacteristic
411C23×C4C2416yes—
412C23×C4C2413yes—
413C23×C4C2413yes—
414C23×C4C2411yescharacteristic
415C23×C4C2416yes—
416C23×C4C2413yes—
417C23×C4C2416yes—
418#126—412no—
419#126—412no—
420#126—412no—
421#126—412no—
422#126—44no—
423#126—412no—
424C22⋊Q8—412no—
425C22⋊Q8—46no—
426C22⋊Q8—46no—
427#117—46no—
428#117—46no—
429#117—412no—
430C2×C4⋊C4C2413yes—
431C2×C4⋊C4C2413yes—
432C2×C4⋊C4C2416yes—
433C2×C4⋊C4C2416yes—
434C2×C4⋊C4C2413yes—
435C2×C4⋊C4C2413yes—
436C2×C4⋊C4C2416yes—
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⋊C4C2416yes—
447C2×C4⋊C4C2416yes—
448C2×C4⋊C4C2416yes—
449C2×C4⋊C4C2416yes—
450C2×C4⋊C4C2416yes—
451C2×C4⋊C4C2416yes—
452C2×C4⋊C4C2416yes—
453C2×C4⋊C4C2416yes—
454C2×C4⋊C4C2416yes—
455C2×C4⋊C4C2416yes—
456C2×C4⋊C4C2416yes—
457C2×C4⋊C4C2416yes—
458C2×C4⋊C4C2416yes—
459C2×C22⋊C4—412no—
460C2×C22⋊C4—412no—
461C2×C22⋊C4—412no—
462C2×C22⋊C4—412no—
463C2×C22⋊C4—46no—
464C2×C22⋊C4—46no—
465C2×C22⋊C4—46no—
466C2×C22⋊C4—46no—
467C2×C22⋊C4—46no—
468C2×C22⋊C4—46no—
469C2×C22⋊C4C2416yes—
470C2×C22⋊C4C2416yes—
471C2×C22⋊C4C2416yes—
472C2×C22⋊C4C2416yes—
473C2×C22⋊C4C2416yes—
474C2×C22⋊C4C2416yes—
475C2×C22⋊C4C2416yes—
476C2×C22⋊C4C2416yes—
477C2×C22⋊C4C2416yes—
478C2×C22⋊C4C2416yes—
479C2×C22⋊C4C2413yes—
480C2×C22⋊C4C2413yes—
481C2×C22⋊C4C2416yes—
482C2×C22⋊C4C2413yes—
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⋊C4C2413yes—
492C2×C22⋊C4C2413yes—
493C2×C22⋊C4C2413yes—
494C2×C22⋊C4C2413yes—
495C2×C22⋊C4C2413yes—
496C2×C22⋊C4C2416yes—
497C2×C22⋊C4C2416yes—
498C2×C22⋊C4C2416yes—
499C2×C22⋊C4C2416yes—
500C2×C22⋊C4C2413yes—
501C2×C22⋊C4C2416yes—
502C2×C22⋊C4C2413yes—
503C2×C42C2416yes—
504C2×C42C2416yes—
505C2×C42C2416yes—
506C2×C42C2416yes—
507C2×C42C2416yes—
508C2×C42C2412yes—
509C2×C42C2416yes—
510C2×C42C2416yes—
511C2×C42C2416yes—
512C2×C42C2416yes—
513#95C2413yes—
514#95C2416yes—
515#95C2416yes—
516#95C2416yes—
517#95C2416yes—
518#95C2416yes—
519#95C2416yes—
520#95C2416yes—
521#95C2416yes—
522#95C2413yes—
523#95C2413yes—
524#95C2416yes—
525#95C2416yes—
526#95C2416yes—
527#95C2416yes—
528#95C2413yes—
529#95C2416yes—
530#95C2416yes—
531#95C2416yes—
532#95C2416yes—
533#95C2416yes—
534#95C2416yes—
535#95C2416yes—
536#95C2416yes—
537#95C2416yes—
538#95C2416yes—
539#95C2416yes—
540#95C2416yes—
541#95C2416yes—
542#95C2416yes—
543#95C2416yes—
544#95C2416yes—
545#95C2416yes—
546#95C2416yes—
547#95C2413yes—
548#95C2411yescharacteristic
549#95C2416yes—
550#95C2416yes—
551#95C2413yes—
552#95C2416yes—
553#95C2416yes—
554#95C2413yes—
555#95C2416yes—
556C24—26no—
557C24—26no—
558C24—26no—
559C24—212no—
560C24—26no—
561C24—26no—
562C24—43no—
563C24—46no—
564C24—43no—
565C24—46no—
566C24—46no—
567C24—43no—
568C24—41no—
569C24—824no—
570C24—88no—
571C24—824no—
572C24C2513yes—
573C24C2513yes—
574C24C2511yescharacteristic
575C2×Q8—43no—
576C2×Q8—43no—
577C2×Q8—46no—
578C22×C4—212no—
579C22×C4—26no—
580C22×C4—26no—
581C22×C4—46no—
582C22×C4—46no—
583C22×C4—46no—
584C22×C4—46no—
585C22×C4—43no—
586C22×C4—46no—
587C22×C4—46no—
588C22×C4—46no—
589C22×C4—46no—
590C22×C4—46no—
591C22×C4—46no—
592C22×C4—46no—
593C22×C4—43no—
594C22×C4C2513yes—
595C22×C4C2513yes—
596C22×C4C2516yes—
597C22×C4C2516yes—
598C22×C4C2512yes—
599C22×C4C2516yes—
600C22×C4C2516yes—
601C22×C4C2516yes—
602C22×C4C2516yes—
603C22×C4C2516yes—
604C22×C4C2513yes—
605C22×C4C2513yes—
606C4⋊C4—43no—
607C4⋊C4—43no—
608C4⋊C4—46no—
609C4⋊C4—46no—
610C4⋊C4—43no—
611C4⋊C4—43no—
612C4⋊C4—46no—
613C4⋊C4—46no—
614C4⋊C4—43no—
615C4⋊C4—43no—
616C4⋊C4—46no—
617C4⋊C4—46no—
618C4⋊C4—46no—
619C4⋊C4—46no—
620C4⋊C4—46no—
621C4⋊C4—46no—
622C4⋊C4—46no—
623C4⋊C4—46no—
624C4⋊C4—46no—
625C4⋊C4—46no—
626C4⋊C4—46no—
627C4⋊C4—46no—
628C4⋊C4—46no—
629C4⋊C4—46no—
630C4⋊C4—46no—
631C4⋊C4—46no—
632C4⋊C4—46no—
633C4⋊C4—46no—
634C4⋊C4—46no—
635C22⋊C4—212no—
636C22⋊C4—212no—
637C22⋊C4—212no—
638C22⋊C4—212no—
639C22⋊C4—212no—
640C22⋊C4—212no—
641C22⋊C4—212no—
642C22⋊C4—212no—
643C22⋊C4—212no—
644C22⋊C4—212no—
645C22⋊C4—26no—
646C22⋊C4—26no—
647C22⋊C4—212no—
648C22⋊C4—43no—
649C22⋊C4—46no—
650C22⋊C4—46no—
651C22⋊C4—46no—
652C22⋊C4—46no—
653C22⋊C4—46no—
654C22⋊C4—43no—
655C22⋊C4—46no—
656C22⋊C4—43no—
657C22⋊C4—43no—
658C22⋊C4—43no—
659C22⋊C4—43no—
660C22⋊C4—43no—
661C22⋊C4—46no—
662C22⋊C4—46no—
663C22⋊C4—46no—
664C22⋊C4—46no—
665C22⋊C4—46no—
666C22⋊C4—43no—
667C22⋊C4—43no—
668C22⋊C4—43no—
669C42—46no—
670C42—46no—
671C42—46no—
672C42—46no—
673C42—46no—
674C42—42no—
675C42—46no—
676C42—46no—
677C42—46no—
678C42—46no—
679C23—224no—
680C23—23no—
681C23—23no—
682C23—26no—
683C23—26no—
684C23—26no—
685C23—26no—
686C23—23no—
687C23—23no—
688C23—23no—
689C23—23no—
690C23—424no—
691C23—412no—
692C23—412no—
693C23—812no—
694C23—86no—
695C23—86no—
696C23—812no—
697C23—86no—
698C23—812no—
699C23—86no—
700C23—86no—
701C23—82no—
702C23—864no—
703C23#58512yes—
704C23#58516yes—
705C23#58516yes—
706C23C2611yescharacteristic
707Q8—161no—
708Q8—163no—
709C2×C4—26no—
710C2×C4—26no—
711C2×C4—26no—
712C2×C4—26no—
713C2×C4—26no—
714C2×C4—26no—
715C2×C4—26no—
716C2×C4—23no—
717C2×C4—23no—
718C2×C4—26no—
719C2×C4—26no—
720C2×C4—26no—
721C2×C4—26no—
722C2×C4—26no—
723C2×C4—26no—
724C2×C4—26no—
725C2×C4—26no—
726C2×C4—26no—
727C2×C4—26no—
728C2×C4—26no—
729C2×C4—26no—
730C2×C4—26no—
731C2×C4—26no—
732C2×C4—26no—
733C2×C4—26no—
734C2×C4—26no—
735C2×C4—26no—
736C2×C4—23no—
737C2×C4—23no—
738C2×C4—26no—
739C2×C4—812no—
740C2×C4—86no—
741C2×C4—86no—
742C2×C4—161no—
743C2×C4—163no—
744C2×C4—166no—
745C2×C4—166no—
746C22—212no—
747C22—26no—
748C22—26no—
749C22—26no—
750C22—26no—
751C22—26no—
752C22—43no—
753C22—41no—
754C22—43no—
755C22—46no—
756C22—43no—
757C22—46no—
758C22—46no—
759C22—824no—
760C22—824no—
761C22—88no—
762C22C2×#58513yes—
763C22C2×#58513yes—
764C22C2×#58511yescharacteristic
765C4—46no—
766C4—43no—
767C4—43no—
768C4—43no—
769C4—43no—
770C4—46no—
771C4—42no—
772C4—46no—
773C4—46no—
774C4—46no—
775C4—46no—
776C4—46no—
777C2—46no—
778C2—46no—
779C2—42no—
780C2#6282613yes—
781C2#6302613yes—
782C2#6302611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC26C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #60027C2semidirect
2. #59572C2semidirect
5. #51001C2semidirect
6. #50962C2semidirect
7. #48950C2semidirect
8. #48797C2semidirect
9. #48794C2semidirect
10. #48497C2semidirect
11. #48387C2semidirect
12. #47151C2semidirect
13. #46882C2semidirect
14. #35488C2semidirect
16. #2835C22semidirect
17. #2834C22semidirect
18. #2807C22semidirect
19. #2790C22semidirect
20. #2790C22semidirect
21. #2790C22semidirect
22. #2788C22semidirect
23. #2787C22semidirect
24. #2787C22semidirect
25. #2787C22semidirect
26. #2771C22semidirect
27. #2770C22semidirect
28. #2770C22semidirect
29. #2770C22semidirect
30. #2768C22semidirect
31. #2765C22semidirect
32. #2765C22semidirect
33. #2764C22semidirect
34. #2763C22semidirect
35. #2747C22semidirect
36. #2747C22semidirect
37. #2745C22semidirect
38. #2744C22semidirect
39. #2739C22semidirect
40. #2738C22semidirect
46. #2722C22semidirect
47. #2722C22semidirect
48. #2722C22semidirect
49. #2698C22semidirect
50. #2698C22semidirect
51. #2689C22semidirect
52. #2689C22semidirect
53. #2667C22semidirect
54. #2665C22semidirect
55. #2652C22semidirect
56. #2652C22semidirect
57. #2625C22semidirect
58. #2625C22semidirect
59. #2608C22semidirect
60. #2589C22semidirect
61. #2589C22semidirect
62. #2587C22semidirect
63. #2587C22semidirect
64. #2577C22semidirect
65. #2577C22semidirect
66. #2577C22semidirect
67. #2575C22semidirect
68. #2574C22semidirect
69. #2573C22semidirect
70. #2573C22semidirect
71. #2573C22semidirect
75. #2530C22semidirect
76. #2530C22semidirect
77. #2530C22semidirect
78. #2527C22semidirect
79. #2523C22semidirect
80. #2523C22semidirect
81. #2522C22semidirect
82. #2517C22semidirect
83. #2517C22semidirect
84. #2515C22semidirect
85. #2515C22semidirect
86. #2515C22semidirect
87. #2499C22semidirect
88. #2496C22semidirect
89. #2496C22semidirect
90. #2495C22semidirect
91. #2494C22semidirect
114. #2478C22semidirect
115. #2478C22semidirect
116. #2478C22semidirect
117. #2478C22semidirect
121. #2383C22semidirect
122. #2378C22semidirect
123. #2378C22semidirect
124. #2373C22semidirect
125. #2347C22semidirect
126. #2346C22semidirect
131. #2334C22semidirect
132. #2334C22semidirect
133. #2332C22semidirect
137. C4×#126C22semidirect
138. C4×#126C22semidirect
139. #2298C22semidirect
167. #401C23semidirect
168. #401C23semidirect
169. #400C23semidirect
170. #400C23semidirect
171. #400C23semidirect
172. #400C23semidirect
173. #400C23semidirect
174. #400C23semidirect
175. #400C23semidirect
176. #400C23semidirect
177. #400C23semidirect
178. #400C23semidirect
179. #400C23semidirect
180. #400C23semidirect
186. #398C23semidirect
187. #398C23semidirect
188. #398C23semidirect
189. #398C23semidirect
190. #398C23semidirect
191. #398C23semidirect
192. #398C23semidirect
193. #398C23semidirect
194. #398C23semidirect
195. #398C23semidirect
196. #398C23semidirect
197. #398C23semidirect
234. #395C23semidirect
235. #395C23semidirect
241. #391C23semidirect
242. #391C23semidirect
243. #391C23semidirect
244. #391C23semidirect
245. #389C23semidirect
246. #389C23semidirect
247. #389C23semidirect
248. #389C23semidirect
249. #389C23semidirect
250. #389C23semidirect
251. #389C23semidirect
252. #389C23semidirect
253. #389C23semidirect
254. #389C23semidirect
255. #389C23semidirect
256. #389C23semidirect
289. #387C23semidirect
290. #387C23semidirect
291. #387C23semidirect
292. #387C23semidirect
293. #387C23semidirect
294. #387C23semidirect
295. #387C23semidirect
296. #387C23semidirect
297. #387C23semidirect
298. #387C23semidirect
299. #387C23semidirect
300. #387C23semidirect
301. #387C23semidirect
302. #387C23semidirect
303. #387C23semidirect
304. #387C23semidirect
305. #387C23semidirect
306. #387C23semidirect
307. #387C23semidirect
308. #387C23semidirect
309. #387C23semidirect
310. #387C23semidirect
311. #387C23semidirect
312. #387C23semidirect
313. #387C23semidirect
314. #387C23semidirect
315. #387C23semidirect
316. #387C23semidirect
343. #384C23semidirect
344. #383C23semidirect
345. #383C23semidirect
346. #383C23semidirect
347. #383C23semidirect
348. #382C23semidirect
349. #382C23semidirect
350. #382C23semidirect
382. C4×C4⋊C4C23semidirect
383. C4×C4⋊C4C23semidirect
384. C4×C4⋊C4C23semidirect
385. C4×C4⋊C4C23semidirect
386. C4×C4⋊C4C23semidirect
387. C4×C4⋊C4C23semidirect
401. #376C23semidirect
402. C43C23semidirect

Maximal subgroups

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

subgroupindex
#600272
#595722
#591922
#510012
#509622
#489502
#487972
#487942
#484972
#483872
#471512
#468822
#354882
#353692