Finite Group Databasebeta

← #7715683

Subgroups — #7715683

Order 512.

4070 conjugacy classes of subgroups.

The subgroup lattice has 793 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#50189C214yesmaximal
2#50186C214yesmaximal
3#48800C214yesmaximal, complemented
4#48799C214yesmaximal, complemented
5#47825C218yesmaximal, complemented
6#47790C218yesmaximal, complemented
7#39296C214yesmaximal, complemented
8#39283C214yesmaximal, complemented
9#38287C214yesmaximal, complemented
10#38277C214yesmaximal, complemented
11#37641C211yesmaximal, characteristic, complemented
12#37565C211yesmaximal, characteristic, complemented
13#37381C212yesmaximal
14#37380C212yesmaximal
15#35325C212yesmaximal
16#35324C212yesmaximal, complemented
17#35321C212yesmaximal, complemented
18#34394C212yesmaximal, complemented
19#34048C211yesmaximal, characteristic
20C2×#533C2212yes—
21C22×#117C2211yescharacteristic
22#2864C2212yescomplemented
23#2863C2214yescomplemented
24#2862C2212yescomplemented
25#2855C2214yes—
26#2848C2214yes—
27#2843C2214yescomplemented
28#2822C2214yescomplemented
29#2810C2218yescomplemented
30#2809C2218yescomplemented
31#2802C2218yescomplemented
32#2798C2218yes—
33#2788C2218yes—
34#2787C2218yes—
35#2783C2218yes—
36#2777C2218yes—
37#2776C2218yescomplemented
38#2775C2218yes—
39#2773C2218yes—
40#2772C2218yes—
41#2771C2214yes—
42#2770C2218yes—
43#2769C2218yescomplemented
44#2768C2218yes—
45#2766C2218yescomplemented
46#2765C2218yes—
47#2764C2214yes—
48#2762C2218yescomplemented
49#2762C2218yescomplemented
50#2759C2218yes—
51#2754C2218yes—
52#2736C2214yes—
53#2735C2218yes—
54#2735C2214yes—
55#2667C2214yes—
56#2665C2214yes—
57#2647C2212yescomplemented
58#2645C2214yescomplemented
59#2642C2212yescomplemented
60#2629C2212yes—
61#2628C2212yes—
62#2628C2212yes—
63#2628C2212yes—
64#2625C2214yes—
65#2625C2214yes—
66#2621C2212yes—
67#2621C2212yes—
68#2621C2212yes—
69#2621C2212yes—
70#2612C2218yescomplemented
71#2612C2214yescomplemented
72#2611C2214yes—
73#2611C2214yes—
74#2605C2218yescomplemented
75#2599C2214yes—
76#2599C2214yes—
77#2596C2218yes—
78#2596C2218yes—
79#2596C2218yes—
80#2594C2218yes—
81#2590C2218yescomplemented
82#2588C2218yescomplemented
83#2585C2218yescomplemented
84#2585C2218yescomplemented
85#2583C2214yes—
86#2582C2214yescomplemented
87#2575C2218yes—
88#2573C2218yes—
89#2570C2214yescomplemented
90#2568C2214yescomplemented
91#2561C2214yes—
92#2550C2214yescomplemented
93#2546C2214yescomplemented
94#2533C2218yescomplemented
95#2532C2218yes—
96#2532C2218yes—
97#2532C2218yes—
98#2529C2218yes—
99#2528C2218yescomplemented
100#2527C2218yes—
101#2524C2218yescomplemented
102#2520C2218yescomplemented
103#2515C2218yes—
104#2514C2218yescomplemented
105#2508C2218yescomplemented
106#2495C2214yes—
107#2494C2214yes—
108#2492C2214yes—
109#2489C2214yes—
110#2484C2214yes—
111#2482C2214yes—
112#2429C2214yes—
113#2429C2214yes—
114#2423C2214yes—
115#2421C2214yes—
116#2378C2214yes—
117#2378C2214yes—
118#2369C2214yescomplemented
119#2365C2214yescomplemented
120#2356C2214yescomplemented
121#2351C2214yescomplemented
122#2347C2214yes—
123#2346C2214yes—
124#2331C2212yescomplemented
125#2330C2218yescomplemented
126#2327C2212yescomplemented
127#2323C2214yes—
128#2323C2214yes—
129#2323C2214yes—
130#2323C2214yes—
131#2320C2218yescomplemented
132#2320C2214yescomplemented
133#2314C2214yes—
134#2314C2214yes—
135#2313C2212yes—
136#2313C2212yes—
137#2312C2212yes—
138#2312C2212yes—
139C4×C4⋊Q8C2212yescomplemented
140C4×#125C2212yescomplemented
141#2298C2214yes—
142#2298C2214yes—
143#2295C2214yescomplemented
144#2285C2211yescharacteristic
145#2285C2211yescharacteristic
146#2283C2212yes—
147#2280C2211yescharacteristic
148#2280C2211yescharacteristic
149C4×#117C2211yescharacteristic
150C4×#117C2211yescharacteristic
151C24×C4C2311yescharacteristic
152#533—216no—
153C2×C4⋊Q8C2312yes—
154C2×C4⋊Q8C2312yes—
155C2×C4⋊Q8C2312yes—
156C2×C4⋊Q8C2312yes—
157C2×C4⋊Q8C2312yes—
158C2×#125C2314yes—
159C2×#125C2312yes—
160C2×C22⋊Q8C2314yes—
161C2×C22⋊Q8C2314yes—
162C2×C22⋊Q8C2314yes—
163C2×C22⋊Q8C2314yes—
164C2×C4×Q8C2314yes—
165C2×C4×Q8C2314yes—
166C2×C4×Q8C2314yes—
167C2×C4×Q8C2314yes—
168C2×#117—28no—
169C2×#117C2312yes—
170C2×#117C2312yes—
171C2×#117C2312yes—
172C2×#117C2312yes—
173C2×#117C2314yes—
174C2×#117C2311yescharacteristic
175C2×#117C2311yescharacteristic
176C2×#117C2311yescharacteristic
177C2×#117C2311yescharacteristic
178C22×C4⋊C4C2312yes—
179C22×C22⋊C4C2312yes—
180C22×C42C2311yescharacteristic
181C22×C42C2311yescharacteristic
182#401C2318yes—
183#401C2318yes—
184#400C2318yes—
185#400C2318yes—
186#400C2318yes—
187#400C2318yes—
188#400C2318yes—
189#400C2318yes—
190#400C2318yes—
191#400C2318yes—
192#400C2314yes—
193#400C2318yes—
194#400C2318yes—
195#400C2314yes—
196#400C2314yes—
197#400C2318yes—
198#400C2318yes—
199#400C2318yes—
200#399C2314yes—
201#399C2314yes—
202#399C2314yes—
203#399C2318yes—
204#398C2318yes—
205#398C2314yes—
206#398C2314yes—
207#398C2318yes—
208#398C2318yes—
209#398C2318yes—
210#398C2314yes—
211#398C2314yes—
212#398C2318yes—
213#398C2318yes—
214#398C2318yes—
215#398C2318yes—
216#398C2314yes—
217#398C2318yes—
218#398C2314yes—
219#398C2318yes—
220#397C2314yes—
221#397C2314yes—
222#397C2318yes—
223#397C2314yes—
224#397C2314yes—
225#397C2318yes—
226#397C2318yes—
227#397C2314yes—
228#397C2314yes—
229#397C2318yes—
230#397C2318yes—
231#396C2318yes—
232#396C2318yes—
233#396C2318yes—
234#395C2314yes—
235#395C2314yes—
236#395C2314yes—
237#395C2318yes—
238#393C2314yes—
239#393C2314yes—
240#393C2314yes—
241#393C2318yes—
242#391C2314yes—
243#391C2314yes—
244#391C2318yes—
245#391C2318yes—
246#391C2314yes—
247#391C2314yes—
248#391C2318yes—
249#391C2318yes—
250#391C2314yes—
251#391C2314yes—
252#391C2318yes—
253#391C2318yes—
254#391C2318yes—
255#391C2318yes—
256#389C2314yes—
257#389C2318yes—
258#389C2314yes—
259#389C2314yes—
260#389C2318yes—
261#389C2318yes—
262#389C2314yes—
263#389C2318yes—
264#389C2318yes—
265#389C2314yes—
266#389C2314yes—
267#389C2318yes—
268#389C2318yes—
269#389C2318yes—
270#389C2318yes—
271#389C2318yes—
272#389C2318yes—
273#389C2318yes—
274#389C2318yes—
275#389C2318yes—
276#388C2318yes—
277#388C2318yes—
278#388C2314yes—
279#388C2314yes—
280#388C2314yes—
281#388C2314yes—
282#388C2314yes—
283#388C2314yes—
284#388C2314yes—
285#388C2314yes—
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#387C2318yes—
301#387C2314yes—
302#387C2314yes—
303#387C2314yes—
304#387C2314yes—
305#387C2314yes—
306#387C2314yes—
307#387C2314yes—
308#387C2314yes—
309#387C2318yes—
310#387C2318yes—
311#387C2318yes—
312#387C2318yes—
313#387C2318yes—
314#387C2318yes—
315#387C2318yes—
316#387C2318yes—
317#387C2318yes—
318#387C2318yes—
319#387C2318yes—
320#387C2318yes—
321#387C2318yes—
322#387C2318yes—
323#387C2318yes—
324#387C2318yes—
325#387C2318yes—
326#387C2318yes—
327#387C2318yes—
328#387C2318yes—
329#387C2318yes—
330#387C2318yes—
331#387C2318yes—
332#387C2318yes—
333#387C2318yes—
334#387C2318yes—
335#387C2318yes—
336#385C2318yes—
337#385C2318yes—
338#385C2318yes—
339#385C2318yes—
340#384C2312yes—
341#384C2312yes—
342#384C2312yes—
343#383C2318yes—
344#383C2314yes—
345#383C2318yes—
346#383C2318yes—
347#383C2318yes—
348#382C2312yes—
349#382C2312yes—
350#382C2312yes—
351#382C2312yes—
352#382C2312yes—
353#382C2312yes—
354#382C2318yes—
355#382C2318yes—
356#382C2318yes—
357#382C2312yes—
358#382C2318yes—
359#381C2318yes—
360#381C2311yescharacteristic
361#381C2312yes—
362#381C2311yescharacteristic
363#381C2314yes—
364#380C2312yes—
365#380C2312yes—
366#380C2312yes—
367#380C2312yes—
368#380C2314yes—
369#380C2314yes—
370#380C2314yes—
371#380C2314yes—
372#380C2314yes—
373#379C2318yes—
374#379C2312yes—
375#379C2311yescharacteristic
376#379C2311yescharacteristic
377C4×C4⋊C4C2318yes—
378C4×C4⋊C4C2314yes—
379C4×C4⋊C4C2318yes—
380C4×C4⋊C4C2314yes—
381C4×C4⋊C4C2314yes—
382C4×C4⋊C4C2314yes—
383C4×C4⋊C4C2314yes—
384C4×C4⋊C4C2318yes—
385C4×C4⋊C4C2318yes—
386C4×C4⋊C4C2314yes—
387C4×C4⋊C4C2318yes—
388C4×C4⋊C4C2318yes—
389C4×C4⋊C4C2314yes—
390C4×C22⋊C4C2314yes—
391C4×C22⋊C4C2312yes—
392C4×C22⋊C4C2312yes—
393C4×C22⋊C4C2312yes—
394C4×C22⋊C4C2312yes—
395C4×C22⋊C4C2314yes—
396C4×C22⋊C4C2314yes—
397#376C2312yes—
398#376C2318yes—
399#376C2312yes—
400#376C2314yes—
401#376C2318yes—
402C43C2312yes—
403C43C2312yes—
404C25C2411yescharacteristic
405C22×Q8C2414yes—
406C22×Q8C2414yes—
407C22×Q8C2414yes—
408C23×C4—24no—
409C23×C4—42no—
410C23×C4—42no—
411C23×C4C2412yes—
412C23×C4C2411yescharacteristic
413C23×C4C2412yes—
414C23×C4C2411yescharacteristic
415C23×C4C2412yes—
416C23×C4C2412yes—
417C4⋊Q8—28no—
418C4⋊Q8—28no—
419C4⋊Q8—44no—
420C4⋊Q8—44no—
421C4⋊Q8—44no—
422#125—216no—
423#125—44no—
424C22⋊Q8—216no—
425C22⋊Q8—216no—
426C22⋊Q8—48no—
427C22⋊Q8—48no—
428C4×Q8—216no—
429C4×Q8—216no—
430C4×Q8—48no—
431C4×Q8—48no—
432#117—216no—
433#117—28no—
434#117—28no—
435#117—28no—
436#117—28no—
437#117—42no—
438#117—42no—
439#117—42no—
440#117—42no—
441C2×C4⋊C4—28no—
442C2×C4⋊C4C2412yes—
443C2×C4⋊C4C2412yes—
444C2×C4⋊C4C2412yes—
445C2×C4⋊C4C2412yes—
446C2×C4⋊C4C2414yes—
447C2×C4⋊C4C2414yes—
448C2×C4⋊C4C2414yes—
449C2×C4⋊C4C2418yes—
450C2×C4⋊C4C2418yes—
451C2×C4⋊C4C2414yes—
452C2×C4⋊C4C2414yes—
453C2×C4⋊C4C2414yes—
454C2×C4⋊C4C2412yes—
455C2×C4⋊C4C2412yes—
456C2×C4⋊C4C2412yes—
457C2×C4⋊C4C2412yes—
458C2×C4⋊C4C2418yes—
459C2×C4⋊C4C2418yes—
460C2×C4⋊C4C2418yes—
461C2×C4⋊C4C2418yes—
462C2×C4⋊C4C2418yes—
463C2×C4⋊C4C2418yes—
464C2×C4⋊C4C2414yes—
465C2×C4⋊C4C2414yes—
466C2×C4⋊C4C2414yes—
467C2×C4⋊C4C2414yes—
468C2×C4⋊C4C2414yes—
469C2×C4⋊C4C2414yes—
470C2×C4⋊C4C2414yes—
471C2×C4⋊C4C2418yes—
472C2×C4⋊C4C2418yes—
473C2×C4⋊C4C2418yes—
474C2×C4⋊C4C2418yes—
475C2×C4⋊C4C2418yes—
476C2×C4⋊C4C2418yes—
477C2×C4⋊C4C2418yes—
478C2×C22⋊C4—28no—
479C2×C22⋊C4C2412yes—
480C2×C22⋊C4C2412yes—
481C2×C22⋊C4C2412yes—
482C2×C22⋊C4C2412yes—
483C2×C22⋊C4C2418yes—
484C2×C22⋊C4C2411yescharacteristic
485C2×C22⋊C4C2412yes—
486C2×C22⋊C4C2411yescharacteristic
487C2×C22⋊C4C2411yescharacteristic
488C2×C22⋊C4C2412yes—
489C2×C22⋊C4C2411yescharacteristic
490C2×C22⋊C4C2418yes—
491C2×C22⋊C4C2418yes—
492C2×C22⋊C4C2418yes—
493C2×C22⋊C4C2414yes—
494C2×C22⋊C4C2414yes—
495C2×C22⋊C4C2414yes—
496C2×C22⋊C4C2414yes—
497C2×C22⋊C4C2418yes—
498C2×C22⋊C4C2418yes—
499C2×C42—24no—
500C2×C42#4118yes—
501C2×C42C2411yescharacteristic
502C2×C42C2411yescharacteristic
503C2×C42C2412yes—
504C2×C42C2412yes—
505C2×C42C2412yes—
506C2×C42C2418yes—
507C2×C42C2412yes—
508C2×C42C2412yes—
509C2×C42C2418yes—
510C2×C42C2418yes—
511C2×C42C2414yes—
512C2×C42C2414yes—
513C2×C42C2414yes—
514C2×C42C2414yes—
515C2×C42C2418yes—
516C2×C42C2418yes—
517C2×C42C2418yes—
518C2×C42C2411yescharacteristic
519C2×C42C2412yes—
520C2×C42C2411yescharacteristic
521#95C2414yes—
522#95C2414yes—
523#95C2414yes—
524#95C2414yes—
525#95C2414yes—
526#95C2414yes—
527#95C2418yes—
528#95C2414yes—
529#95C2414yes—
530#95C2418yes—
531#95C2418yes—
532#95C2418yes—
533#95C2418yes—
534#95C2418yes—
535#95C2418yes—
536#95C2414yes—
537#95C2414yes—
538#95C2414yes—
539#95C2414yes—
540#95C2414yes—
541#95C2414yes—
542#95C2414yes—
543#95C2414yes—
544#95C2418yes—
545#95C2418yes—
546#95C2418yes—
547#95C2418yes—
548#95C2418yes—
549#95C2418yes—
550#95C2418yes—
551#95C2418yes—
552#95C2418yes—
553#95C2418yes—
554#95C2418yes—
555#95C2418yes—
556#95C2418yes—
557#95C2418yes—
558#95C2418yes—
559#95C2418yes—
560#95C2414yes—
561#95C2414yes—
562#95C2414yes—
563#95C2414yes—
564#95C2418yes—
565#95C2418yes—
566C24—22no—
567C24—41no—
568C24—41no—
569C24—44no—
570C24C2512yes—
571C24C2511yescharacteristic
572C2×Q8—28no—
573C2×Q8—28no—
574C2×Q8—28no—
575C2×Q8—28no—
576C2×Q8—48no—
577C2×Q8—44no—
578C2×Q8—48no—
579C22×C4—22no—
580C22×C4—22no—
581C22×C4—22no—
582C22×C4—24no—
583C22×C4—24no—
584C22×C4—24no—
585C22×C4—24no—
586C22×C4—24no—
587C22×C4—42no—
588C22×C4—42no—
589C22×C4—41no—
590C22×C4—41no—
591C22×C4—44no—
592C22×C4—44no—
593C22×C4—416no—
594C22×C4C2×#4114yes—
595C22×C4C2×#4118yes—
596C22×C4C2512yes—
597C22×C4C2512yes—
598C22×C4C2512yes—
599C22×C4C2518yes—
600C22×C4C2518yes—
601C22×C4C2512yes—
602C22×C4C2512yes—
603C22×C4C2514yes—
604C22×C4C2512yes—
605C22×C4C2514yes—
606C22×C4C2512yes—
607C22×C4C2518yes—
608C22×C4C2518yes—
609C22×C4C2512yes—
610C22×C4C2512yes—
611C22×C4C2511yescharacteristic
612C22×C4C2511yescharacteristic
613C4⋊C4—24no—
614C4⋊C4—24no—
615C4⋊C4—24no—
616C4⋊C4—24no—
617C4⋊C4—28no—
618C4⋊C4—28no—
619C4⋊C4—216no—
620C4⋊C4—216no—
621C4⋊C4—28no—
622C4⋊C4—28no—
623C4⋊C4—28no—
624C4⋊C4—28no—
625C4⋊C4—44no—
626C4⋊C4—44no—
627C4⋊C4—44no—
628C4⋊C4—44no—
629C4⋊C4—48no—
630C4⋊C4—48no—
631C4⋊C4—48no—
632C4⋊C4—48no—
633C4⋊C4—48no—
634C4⋊C4—48no—
635C4⋊C4—48no—
636C4⋊C4—42no—
637C4⋊C4—42no—
638C4⋊C4—42no—
639C4⋊C4—42no—
640C4⋊C4—48no—
641C4⋊C4—48no—
642C4⋊C4—48no—
643C4⋊C4—48no—
644C4⋊C4—48no—
645C4⋊C4—44no—
646C4⋊C4—48no—
647C4⋊C4—44no—
648C4⋊C4—44no—
649C22⋊C4—216no—
650C22⋊C4—24no—
651C22⋊C4—24no—
652C22⋊C4—24no—
653C22⋊C4—24no—
654C22⋊C4—44no—
655C22⋊C4—44no—
656C22⋊C4—48no—
657C22⋊C4—44no—
658C22⋊C4—48no—
659C22⋊C4—44no—
660C22⋊C4—48no—
661C22⋊C4—41no—
662C22⋊C4—42no—
663C22⋊C4—41no—
664C22⋊C4—42no—
665C22⋊C4—41no—
666C22⋊C4—41no—
667C22⋊C4—48no—
668C22⋊C4—48no—
669C42—24no—
670C42—22no—
671C42—22no—
672C42—216no—
673C42—24no—
674C42—24no—
675C42—24no—
676C42—24no—
677C42—48no—
678C42—48no—
679C42—48no—
680C42—44no—
681C42—44no—
682C42—44no—
683C42—44no—
684C42—48no—
685C42—48no—
686C42C2×#4114yes—
687C42C2×#4118yes—
688C42C2×#4114yes—
689C23—21no—
690C23—21no—
691C23—24no—
692C23—22no—
693C23—22no—
694C23—22no—
695C23—24no—
696C23—24no—
697C23—44no—
698C23—84no—
699C23—84no—
700C23—84no—
701C23C22×#4112yes—
702C23C2611yescharacteristic
703Q8—416no—
704Q8—88no—
705Q8—164no—
706C2×C4—21no—
707C2×C4—21no—
708C2×C4—24no—
709C2×C4—24no—
710C2×C4—28no—
711C2×C4—22no—
712C2×C4—22no—
713C2×C4—28no—
714C2×C4—28no—
715C2×C4—22no—
716C2×C4—22no—
717C2×C4—24no—
718C2×C4—22no—
719C2×C4—24no—
720C2×C4—22no—
721C2×C4—22no—
722C2×C4—28no—
723C2×C4—28no—
724C2×C4—28no—
725C2×C4—28no—
726C2×C4—22no—
727C2×C4—22no—
728C2×C4—24no—
729C2×C4—24no—
730C2×C4—28no—
731C2×C4—24no—
732C2×C4—24no—
733C2×C4—24no—
734C2×C4—24no—
735C2×C4—28no—
736C2×C4—24no—
737C2×C4—24no—
738C2×C4—24no—
739C2×C4—28no—
740C2×C4—28no—
741C2×C4—28no—
742C2×C4—24no—
743C2×C4—28no—
744C2×C4—48no—
745C2×C4—48no—
746C2×C4—44no—
747C2×C4—48no—
748C2×C4—84no—
749C2×C4C22×#4114yes—
750C2×C4C22×#4112yes—
751C2×C4C22×#4114yes—
752C2×C4C22×#4112yes—
753C2×C4#58512yes—
754C2×C4#58512yes—
755C22—22no—
756C22—24no—
757C22—42no—
758C22—42no—
759C22—42no—
760C22—42no—
761C22—42no—
762C22—44no—
763C22—44no—
764C22—88no—
765C22C23×#4111yescharacteristic
766C22C2×#58511yescharacteristic
767C22C2×#58511yescharacteristic
768C222−1+614yes—
769C4—22no—
770C4—24no—
771C4—24no—
772C4—42no—
773C4—48no—
774C4—42no—
775C4—42no—
776C4—48no—
777C4—42no—
778C4—44no—
779C4—42no—
780C4—48no—
781C4—44no—
782C4—42no—
783C4—48no—
784C4—42no—
785C4#349314yes—
786C2—42no—
787C2—82no—
788C2C2×#349311yescharacteristic
789C2#6286012yes—
790C2#6289012yes—
791C2#6289112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC25C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
3. #48800C2semidirect
4. #48799C2semidirect
5. #47825C2semidirect
6. #47790C2semidirect
7. #39296C2semidirect
8. #39283C2semidirect
9. #38287C2semidirect
10. #38277C2semidirect
11. #37641C2semidirect
12. #37565C2semidirect
16. #35324C2semidirect
17. #35321C2semidirect
18. #34394C2semidirect
22. #2864C22semidirect
23. #2863C22semidirect
24. #2862C22semidirect
27. #2843C22semidirect
28. #2822C22semidirect
29. #2810C22semidirect
30. #2809C22semidirect
31. #2802C22semidirect
37. #2776C22semidirect
43. #2769C22semidirect
45. #2766C22semidirect
48. #2762C22semidirect
49. #2762C22semidirect
57. #2647C22semidirect
58. #2645C22semidirect
59. #2642C22semidirect
70. #2612C22semidirect
71. #2612C22semidirect
74. #2605C22semidirect
81. #2590C22semidirect
82. #2588C22semidirect
83. #2585C22semidirect
84. #2585C22semidirect
86. #2582C22semidirect
89. #2570C22semidirect
90. #2568C22semidirect
92. #2550C22semidirect
93. #2546C22semidirect
94. #2533C22semidirect
99. #2528C22semidirect
101. #2524C22semidirect
102. #2520C22semidirect
104. #2514C22semidirect
105. #2508C22semidirect
118. #2369C22semidirect
119. #2365C22semidirect
120. #2356C22semidirect
121. #2351C22semidirect
124. #2331C22semidirect
125. #2330C22semidirect
126. #2327C22semidirect
131. #2320C22semidirect
132. #2320C22semidirect
139. C4×C4⋊Q8C22semidirect
140. C4×#125C22semidirect
143. #2295C22semidirect

Maximal subgroups

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

subgroupindex
#501892
#501862
#488002
#487992
#478252
#477902
#392962
#392832
#382872
#382772
#376412
#375652
#373812
#373802
#353252
#353242
#353212
#343942
#340482