Finite Group Databasebeta

← #8926722

Subgroups — #8926722

Order 512.

4123 conjugacy classes of subgroups.

The subgroup lattice has 786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58989C211yesmaximal, characteristic
2#58791C213yesmaximal, complemented
3#57582C216yesmaximal, complemented
4#57400C212yesmaximal, complemented
5#57325C213yesmaximal, complemented
6#56508C213yesmaximal, complemented
7#56494C216yesmaximal, complemented
8#46964C216yesmaximal, complemented
9#46941C216yesmaximal, complemented
10#46880C216yesmaximal, complemented
11#37322C213yesmaximal, complemented
12#37044C216yesmaximal, complemented
13#37041C216yesmaximal, complemented
14#37013C213yesmaximal, complemented
15#35500C213yesmaximal, complemented
16#2865C2216yescomplemented
17#2862C2213yescomplemented
18#2858C2213yes—
19#2843C2211yescharacteristic, complemented
20#2841C2213yescomplemented
21#2840C2212yescomplemented
22#2832C2216yescomplemented
23#2829C2216yes—
24#2824C2213yes—
25#2819C2213yes—
26#2814C2216yes—
27#2798C2216yescomplemented
28#2794C2213yescomplemented
29#2789C2216yescomplemented
30#2786C2216yes—
31#2785C2213yes—
32#2784C2213yes—
33#2783C2216yescomplemented
34#2778C2216yescomplemented
35#2770C2216yescomplemented
36#2762C2216yescomplemented
37#2760C2211yescharacteristic, complemented
38#2759C2216yescomplemented
39#2756C2216yes—
40#2752C2213yes—
41#2751C2216yes—
42#2751C2216yescomplemented
43#2751C2216yescomplemented
44#2746C2216yescomplemented
45#2744C2216yescomplemented
46#2743C2216yescomplemented
47#2741C2216yescomplemented
48#2741C2216yescomplemented
49#2740C2216yescomplemented
50#2737C2216yes—
51#2737C2216yescomplemented
52#2737C2216yescomplemented
53#2734C2216yescomplemented
54#2731C2216yes—
55#2731C2216yescomplemented
56#2730C2216yescomplemented
57#2730C2216yescomplemented
58#2716C2216yescomplemented
59#2716C2216yescomplemented
60#2716C2216yescomplemented
61#2712C2216yes—
62#2712C2213yescomplemented
63#2709C2216yes—
64#2702C2216yes—
65#2700C2216yes—
66#2700C2216yescomplemented
67#2700C2216yescomplemented
68#2697C2216yes—
69#2696C2216yes—
70#2696C2216yes—
71#2691C2216yes—
72#2686C2216yescomplemented
73#2685C2216yescomplemented
74#2684C2216yes—
75#2679C2211yescharacteristic
76#2677C2216yescomplemented
77#2677C2213yescomplemented
78#2674C2216yes—
79#2670C2216yes—
80#2669C2216yes—
81#2665C2216yescomplemented
82#2662C2216yes—
83#2653C2216yes—
84#2651C2216yescomplemented
85#2650C2216yescomplemented
86#2628C2213yescomplemented
87#2619C2213yes—
88#2610C2213yes—
89#2607C2213yescomplemented
90#2606C2213yescomplemented
91#2600C2213yes—
92#2599C2213yescomplemented
93#2595C2216yescomplemented
94#2593C2213yes—
95#2592C2213yes—
96#2591C2213yes—
97#2577C2216yescomplemented
98#2577C2216yescomplemented
99#2576C2216yes—
100#2574C2216yescomplemented
101#2555C2213yes—
102#2554C2216yes—
103#2547C2216yescomplemented
104#2534C2216yescomplemented
105#2532C2216yescomplemented
106#2531C2216yes—
107#2529C2216yescomplemented
108#2527C2216yescomplemented
109#2521C2216yes—
110#2521C2216yescomplemented
111#2520C2216yescomplemented
112#2520C2216yescomplemented
113#2513C2216yescomplemented
114#2500C2213yes—
115#2492C2216yescomplemented
116#2491C2216yescomplemented
117#2484C2213yescomplemented
118#2480C2216yescomplemented
119#2472C2216yes—
120#2472C2216yescomplemented
121#2469C2216yescomplemented
122#2467C2216yes—
123#2459C2216yes—
124#2459C2216yescomplemented
125#2458C2216yescomplemented
126#2457C2216yes—
127#2455C2213yes—
128#2452C2216yescomplemented
129#2443C2216yescomplemented
130#2420C2216yescomplemented
131#2417C2216yescomplemented
132#2412C2216yes—
133#2337C2213yes—
134#2335C2216yescomplemented
135#2333C2213yes—
136#2332C2216yescomplemented
137#2331C2213yescomplemented
138#2328C2213yes—
139#2321C2216yescomplemented
140#2313C2213yescomplemented
141C4×#126C2216yescomplemented
142#2298C2213yescomplemented
143#2276C2211yescharacteristic, complemented
144C2×C4⋊Q8C2313yes—
145C2×C4⋊Q8C2316yes—
146C2×C4⋊Q8C2316yes—
147C2×#127C2313yes—
148C2×#126C2316yes—
149C2×#126C2316yes—
150C2×#124C2313yes—
151C2×#124C2316yes—
152C2×#124C2316yes—
153C2×#124C2316yes—
154C2×#124C2316yes—
155C2×#123C2316yes—
156C2×#123C2316yes—
157C2×C22⋊Q8C2316yes—
158C2×C22⋊Q8C2316yes—
159C2×C22⋊Q8C2316yes—
160C2×#121C2313yes—
161C2×#121C2316yes—
162C2×#120C2316yes—
163C2×#120C2316yes—
164C2×C4×Q8C2313yes—
165C2×C4×D4C2316yes—
166C2×C4×D4C2316yes—
167C2×#117C2313yes—
168C22×C4⋊C4C2313yes—
169C22×C22⋊C4C2316yes—
170#401C2316yes—
171#401C2312yes—
172#400C2316yes—
173#400C2316yes—
174#400C2316yes—
175#400C2316yes—
176#400C2316yes—
177#400C2316yes—
178#400C2313yes—
179#400C2316yes—
180#400C2313yes—
181#399C2316yes—
182#399C2313yes—
183#399C2313yes—
184#399C2316yes—
185#398C2316yes—
186#398C2313yes—
187#398C2316yes—
188#398C2316yes—
189#398C2316yes—
190#398C2316yes—
191#398C2316yes—
192#398C2316yes—
193#397C2316yes—
194#397C2316yes—
195#397C2316yes—
196#397C2316yes—
197#397C2316yes—
198#397C2316yes—
199#397C2316yes—
200#397C2316yes—
201#397C2313yes—
202#397C2316yes—
203#397C2316yes—
204#397C2316yes—
205#397C2316yes—
206#397C2316yes—
207#397C2316yes—
208#396C2316yes—
209#396C2316yes—
210#396C2316yes—
211#396C2316yes—
212#396C2316yes—
213#396C2316yes—
214#396C2316yes—
215#395C2316yes—
216#395C2313yes—
217#395C2316yes—
218#395C2313yes—
219#395C2316yes—
220#395C2316yes—
221#394C2313yes—
222#394C2313yes—
223#394C2316yes—
224#394C2316yes—
225#394C2316yes—
226#394C2316yes—
227#394C2316yes—
228#394C2316yes—
229#394C2316yes—
230#394C2316yes—
231#394C2316yes—
232#394C2316yes—
233#394C2316yes—
234#394C2316yes—
235#394C2316yes—
236#394C2313yes—
237#394C2316yes—
238#394C2316yes—
239#394C2316yes—
240#393C2313yes—
241#393C2316yes—
242#393C2313yes—
243#393C2316yes—
244#393C2316yes—
245#393C2316yes—
246#393C2316yes—
247#393C2316yes—
248#393C2316yes—
249#393C2316yes—
250#393C2316yes—
251#393C2316yes—
252#393C2316yes—
253#392C2316yes—
254#392C2316yes—
255#392C2313yes—
256#392C2316yes—
257#392C2313yes—
258#392C2311yescharacteristic
259#391C2316yes—
260#391C2316yes—
261#391C2316yes—
262#391C2316yes—
263#391C2316yes—
264#391C2316yes—
265#391C2316yes—
266#391C2316yes—
267#391C2316yes—
268#391C2316yes—
269#390C2316yes—
270#390C2316yes—
271#390C2316yes—
272#390C2316yes—
273#390C2313yes—
274#390C2316yes—
275#390C2316yes—
276#390C2316yes—
277#390C2313yes—
278#389C2316yes—
279#389C2316yes—
280#389C2316yes—
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#388C2316yes—
295#388C2316yes—
296#388C2316yes—
297#388C2316yes—
298#388C2316yes—
299#388C2316yes—
300#388C2316yes—
301#388C2316yes—
302#388C2316yes—
303#388C2316yes—
304#388C2316yes—
305#388C2316yes—
306#388C2316yes—
307#388C2316yes—
308#388C2316yes—
309#388C2316yes—
310#388C2316yes—
311#388C2316yes—
312#388C2316yes—
313#388C2316yes—
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#387C2316yes—
329#387C2316yes—
330#387C2316yes—
331#387C2316yes—
332#387C2316yes—
333#387C2316yes—
334#387C2316yes—
335#387C2316yes—
336#387C2316yes—
337#387C2316yes—
338#387C2316yes—
339#386C2316yes—
340#386C2316yes—
341#386C2316yes—
342#386C2316yes—
343#386C2316yes—
344#386C2316yes—
345#386C2316yes—
346#386C2316yes—
347#386C2316yes—
348#386C2316yes—
349#386C2316yes—
350#386C2316yes—
351#386C2316yes—
352#386C2316yes—
353#386C2316yes—
354#385C2313yes—
355#385C2316yes—
356#385C2316yes—
357#385C2316yes—
358#385C2316yes—
359#385C2316yes—
360#385C2313yes—
361#384C2311yescharacteristic
362#383C2316yes—
363#383C2312yes—
364#383C2313yes—
365#382C2313yes—
366#382C2316yes—
367#382C2313yes—
368#382C2313yes—
369#381C2316yes—
370#381C2316yes—
371#381C2313yes—
372#381C2316yes—
373#381C2313yes—
374#381C2313yes—
375#380C2316yes—
376#380C2316yes—
377#380C2316yes—
378#380C2316yes—
379#380C2316yes—
380#380C2316yes—
381#380C2316yes—
382#379C2316yes—
383#379C2312yes—
384#379C2312yes—
385#379C2312yes—
386C4×C4⋊C4C2316yes—
387C4×C4⋊C4C2316yes—
388C4×C4⋊C4C2316yes—
389C4×C4⋊C4C2316yes—
390C4×C4⋊C4C2313yes—
391C4×C4⋊C4C2313yes—
392C4×C22⋊C4C2316yes—
393C4×C22⋊C4C2316yes—
394C4×C22⋊C4C2316yes—
395C4×C22⋊C4C2313yes—
396C4×C22⋊C4C2313yes—
397C4×C22⋊C4C2316yes—
398C4×C22⋊C4C2313yes—
399#376C2313yes—
400#376C2311yescharacteristic
401#376C2312yes—
402C43C2313yes—
403C25C2412yes—
404C22×Q8C2411yescharacteristic
405C22×Q8C2416yes—
406C22×Q8C2416yes—
407C22×Q8C2413yes—
408C22×D4C2416yes—
409C22×D4C2416yes—
410C22×D4C2413yes—
411C22×D4C2413yes—
412C22×D4C2413yes—
413C22×D4C2416yes—
414C22×D4C2413yes—
415C23×C4C2413yes—
416C23×C4C2416yes—
417C23×C4C2416yes—
418C23×C4C2413yes—
419C23×C4C2413yes—
420C4⋊Q8—46no—
421C4⋊Q8—86no—
422C4⋊Q8—86no—
423#127—46no—
424#126—412no—
425#126—86no—
426#124—46no—
427#124—86no—
428#124—86no—
429#124—86no—
430#124—86no—
431#123—412no—
432#123—86no—
433C22⋊Q8—412no—
434C22⋊Q8—86no—
435C22⋊Q8—86no—
436#121—46no—
437#121—86no—
438#120—412no—
439#120—86no—
440C4×Q8—46no—
441C4×D4—86no—
442C4×D4—86no—
443#117—46no—
444C2×C4⋊C4—46no—
445C2×C4⋊C4C2416yes—
446C2×C4⋊C4C2416yes—
447C2×C4⋊C4C2416yes—
448C2×C4⋊C4C2416yes—
449C2×C4⋊C4C2413yes—
450C2×C4⋊C4C2413yes—
451C2×C4⋊C4C2416yes—
452C2×C4⋊C4C2416yes—
453C2×C4⋊C4C2413yes—
454C2×C4⋊C4C2416yes—
455C2×C4⋊C4C2413yes—
456C2×C4⋊C4C2416yes—
457C2×C4⋊C4C2416yes—
458C2×C4⋊C4C2416yes—
459C2×C4⋊C4C2416yes—
460C2×C4⋊C4C2416yes—
461C2×C4⋊C4C2416yes—
462C2×C4⋊C4C2416yes—
463C2×C4⋊C4C2416yes—
464C2×C4⋊C4C2416yes—
465C2×C4⋊C4C2416yes—
466C2×C4⋊C4C2413yes—
467C2×C4⋊C4C2413yes—
468C2×C4⋊C4C2416yes—
469C2×C22⋊C4—86no—
470C2×C22⋊C4C2416yes—
471C2×C22⋊C4C2416yes—
472C2×C22⋊C4C2416yes—
473C2×C22⋊C4C2416yes—
474C2×C22⋊C4C2416yes—
475C2×C22⋊C4C2416yes—
476C2×C22⋊C4C2413yes—
477C2×C22⋊C4C2413yes—
478C2×C22⋊C4C2416yes—
479C2×C22⋊C4C2416yes—
480C2×C22⋊C4C2416yes—
481C2×C22⋊C4C2416yes—
482C2×C22⋊C4C2416yes—
483C2×C22⋊C4C2416yes—
484C2×C22⋊C4C2416yes—
485C2×C22⋊C4C2416yes—
486C2×C22⋊C4C2416yes—
487C2×C22⋊C4C2416yes—
488C2×C22⋊C4C2416yes—
489C2×C22⋊C4C2416yes—
490C2×C22⋊C4C2416yes—
491C2×C22⋊C4C2416yes—
492C2×C22⋊C4C2416yes—
493C2×C22⋊C4C2416yes—
494C2×C22⋊C4C2416yes—
495C2×C22⋊C4C2416yes—
496C2×C22⋊C4C2413yes—
497C2×C22⋊C4C2416yes—
498C2×C22⋊C4C2416yes—
499C2×C22⋊C4C2416yes—
500C2×C22⋊C4C2416yes—
501C2×C22⋊C4C2416yes—
502C2×C22⋊C4C2416yes—
503C2×C22⋊C4C2413yes—
504C2×C42C2413yes—
505C2×C42C2413yes—
506C2×C42C2413yes—
507C2×C42C2416yes—
508C2×C42C2416yes—
509C2×C42C2416yes—
510C2×C42C2413yes—
511C2×C42C2416yes—
512C2×C42C2416yes—
513C2×C42C2413yes—
514C2×C42C2413yes—
515C2×C42C2413yes—
516C2×C42C2411yescharacteristic
517#95C2411yescharacteristic
518#95C2416yes—
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#95C2416yes—
535#95C2416yes—
536#95C2416yes—
537#95C2416yes—
538#95C2416yes—
539#95C2416yes—
540#95C2413yes—
541#95C2416yes—
542#95C2416yes—
543#95C2416yes—
544#95C2416yes—
545#95C2413yes—
546#95C2416yes—
547#95C2416yes—
548#95C2416yes—
549#95C2416yes—
550#95C2416yes—
551#95C2411yescharacteristic
552#95C2416yes—
553#95C2413yes—
554#95C2413yes—
555#95C2413yes—
556#95C2416yes—
557C24—46no—
558C24—46no—
559C24—42no—
560C24C2516yes—
561C24C2513yes—
562C2×Q8—43no—
563C2×Q8—46no—
564C2×Q8—46no—
565C2×Q8—46no—
566C2×Q8—43no—
567C2×Q8—46no—
568C2×Q8—46no—
569C2×Q8—46no—
570C2×Q8—46no—
571C2×D4—212no—
572C2×D4—46no—
573C2×D4—46no—
574C2×D4—46no—
575C2×D4—46no—
576C2×D4—46no—
577C2×D4—46no—
578C2×D4—43no—
579C2×D4—46no—
580C2×D4—46no—
581C2×D4—46no—
582C2×D4—43no—
583C2×D4—46no—
584C2×D4—43no—
585C2×D4—46no—
586C2×D4—43no—
587C2×D4—43no—
588C2×D4—43no—
589C22×C4—26no—
590C22×C4—43no—
591C22×C4—46no—
592C22×C4—43no—
593C22×C4—43no—
594C22×C4—46no—
595C22×C4—46no—
596C22×C4—43no—
597C22×C4—43no—
598C22×C4—46no—
599C22×C4—46no—
600C22×C4—46no—
601C22×C4—46no—
602C22×C4—43no—
603C22×C4C2513yes—
604C22×C4C2513yes—
605C22×C4C2513yes—
606C22×C4C2516yes—
607C22×C4C2516yes—
608C22×C4C2511yescharacteristic
609C22×C4C2512yes—
610C22×C4C2516yes—
611C22×C4C2516yes—
612C22×C4C2516yes—
613C22×C4C2513yes—
614C22×C4C2516yes—
615C22×C4C2513yes—
616C4⋊C4—212no—
617C4⋊C4—212no—
618C4⋊C4—212no—
619C4⋊C4—46no—
620C4⋊C4—46no—
621C4⋊C4—43no—
622C4⋊C4—43no—
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—
632C4⋊C4—46no—
633C4⋊C4—46no—
634C4⋊C4—46no—
635C4⋊C4—46no—
636C4⋊C4—46no—
637C4⋊C4—46no—
638C4⋊C4—43no—
639C4⋊C4—43no—
640C22⋊C4—212no—
641C22⋊C4—212no—
642C22⋊C4—46no—
643C22⋊C4—46no—
644C22⋊C4—46no—
645C22⋊C4—46no—
646C22⋊C4—46no—
647C22⋊C4—43no—
648C22⋊C4—43no—
649C22⋊C4—43no—
650C22⋊C4—46no—
651C22⋊C4—46no—
652C22⋊C4—46no—
653C22⋊C4—46no—
654C22⋊C4—46no—
655C22⋊C4—46no—
656C22⋊C4—46no—
657C22⋊C4—46no—
658C22⋊C4—46no—
659C22⋊C4—46no—
660C22⋊C4—46no—
661C22⋊C4—46no—
662C22⋊C4—46no—
663C22⋊C4—46no—
664C22⋊C4—46no—
665C22⋊C4—46no—
666C22⋊C4—46no—
667C22⋊C4—46no—
668C22⋊C4—43no—
669C22⋊C4—46no—
670C22⋊C4—46no—
671C22⋊C4—46no—
672C22⋊C4—46no—
673C22⋊C4—46no—
674C42—26no—
675C42—26no—
676C42—43no—
677C42—43no—
678C42—41no—
679C42—43no—
680C42—46no—
681C42—46no—
682C42—46no—
683C42—43no—
684C42—46no—
685C42—46no—
686C42—43no—
687C23—26no—
688C23—26no—
689C23—23no—
690C23—26no—
691C23—26no—
692C23—26no—
693C23—26no—
694C23—26no—
695C23—23no—
696C23—26no—
697C23—23no—
698C23—26no—
699C23—812no—
700C23—162no—
701C23—166no—
702C23C2611yescharacteristic
703Q8—44no—
704Q8—166no—
705Q8—166no—
706Q8—163no—
707D4—812no—
708D4—812no—
709D4—166no—
710D4—163no—
711D4—163no—
712D4—163no—
713D4—163no—
714C2×C4—23no—
715C2×C4—23no—
716C2×C4—23no—
717C2×C4—23no—
718C2×C4—23no—
719C2×C4—23no—
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—23no—
729C2×C4—26no—
730C2×C4—26no—
731C2×C4—23no—
732C2×C4—26no—
733C2×C4—26no—
734C2×C4—26no—
735C2×C4—26no—
736C2×C4—26no—
737C2×C4—26no—
738C2×C4—26no—
739C2×C4—26no—
740C2×C4—26no—
741C2×C4—26no—
742C2×C4—26no—
743C2×C4—23no—
744C2×C4—26no—
745C2×C4—86no—
746C2×C4—86no—
747C2×C4—166no—
748C2×C4—163no—
749C2×C4—166no—
750C2×C4#58516yes—
751C22—43no—
752C22—46no—
753C22—43no—
754C22—46no—
755C22—46no—
756C22—46no—
757C22—46no—
758C22—43no—
759C22—46no—
760C22—46no—
761C22—46no—
762C22—46no—
763C22—168no—
764C22C2×#58513yes—
765C22H(7,𝔽2)13yes—
766C222−1+611yescharacteristic
767C4—26no—
768C4—43no—
769C4—41no—
770C4—42no—
771C4—43no—
772C4—46no—
773C4—46no—
774C4—46no—
775C4—46no—
776C4—46no—
777C4—43no—
778C4—43no—
779C4—46no—
780C2—83no—
781C2—86no—
782C2#6284111yescharacteristic
783C2#6287213yes—
784C2#6288513yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#58989C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #58791C2semidirect
3. #57582C2semidirect
4. #57400C2semidirect
5. #57325C2semidirect
6. #56508C2semidirect
7. #56494C2semidirect
8. #46964C2semidirect
9. #46941C2semidirect
10. #46880C2semidirect
11. #37322C2semidirect
12. #37044C2semidirect
13. #37041C2semidirect
14. #37013C2semidirect
15. #35500C2semidirect
16. #2865C22semidirect
17. #2862C22semidirect
19. #2843C22semidirect
20. #2841C22semidirect
21. #2840C22semidirect
22. #2832C22semidirect
27. #2798C22semidirect
28. #2794C22semidirect
29. #2789C22semidirect
33. #2783C22semidirect
34. #2778C22semidirect
35. #2770C22semidirect
36. #2762C22semidirect
37. #2760C22semidirect
38. #2759C22semidirect
42. #2751C22semidirect
43. #2751C22semidirect
44. #2746C22semidirect
45. #2744C22semidirect
46. #2743C22semidirect
47. #2741C22semidirect
48. #2741C22semidirect
49. #2740C22semidirect
51. #2737C22semidirect
52. #2737C22semidirect
53. #2734C22semidirect
55. #2731C22semidirect
56. #2730C22semidirect
57. #2730C22semidirect
58. #2716C22semidirect
59. #2716C22semidirect
60. #2716C22semidirect
62. #2712C22semidirect
66. #2700C22semidirect
67. #2700C22semidirect
72. #2686C22semidirect
73. #2685C22semidirect
76. #2677C22semidirect
77. #2677C22semidirect
81. #2665C22semidirect
84. #2651C22semidirect
85. #2650C22semidirect
86. #2628C22semidirect
89. #2607C22semidirect
90. #2606C22semidirect
92. #2599C22semidirect
93. #2595C22semidirect
97. #2577C22semidirect
98. #2577C22semidirect
100. #2574C22semidirect
103. #2547C22semidirect
104. #2534C22semidirect
105. #2532C22semidirect
107. #2529C22semidirect
108. #2527C22semidirect
110. #2521C22semidirect
111. #2520C22semidirect
112. #2520C22semidirect
113. #2513C22semidirect
115. #2492C22semidirect
116. #2491C22semidirect
117. #2484C22semidirect
118. #2480C22semidirect
120. #2472C22semidirect
121. #2469C22semidirect
124. #2459C22semidirect
125. #2458C22semidirect
128. #2452C22semidirect
129. #2443C22semidirect
130. #2420C22semidirect
131. #2417C22semidirect
134. #2335C22semidirect
136. #2332C22semidirect
137. #2331C22semidirect
139. #2321C22semidirect
140. #2313C22semidirect
141. C4×#126C22semidirect
142. #2298C22semidirect
143. #2276C22semidirect

Maximal subgroups

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

subgroupindex
#589892
#587912
#575822
#574002
#573252
#565082
#564942
#469642
#469412
#468802
#373222
#370442
#370412
#370132
#355002