Finite Group Databasebeta

← #8093489

Subgroups — #8093489

Order 512.

4135 conjugacy classes of subgroups.

The subgroup lattice has 792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52936C216yesmaximal, complemented
2#52930C213yesmaximal, complemented
3#52919C213yesmaximal, complemented
4#52708C213yesmaximal, complemented
5#52699C216yesmaximal, complemented
6#52696C213yesmaximal, complemented
7#52619C216yesmaximal, complemented
8#52599C216yesmaximal, complemented
9#52584C216yesmaximal, complemented
10#52563C216yesmaximal, complemented
11#35500C213yesmaximal, complemented
12#35475C216yesmaximal, complemented
13#35474C213yesmaximal, complemented
14#34603C213yesmaximal, complemented
15#2845C2212yescomplemented
16#2845C2212yescomplemented
17#2844C2211yescharacteristic, complemented
18#2840C2212yescomplemented
19#2840C2211yescharacteristic, complemented
20#2837C2216yescomplemented
21#2837C2216yescomplemented
22#2837C2216yescomplemented
23#2836C2216yescomplemented
24#2832C2216yescomplemented
25#2831C2216yescomplemented
26#2830C2216yescomplemented
27#2830C2216yescomplemented
28#2830C2213yescomplemented
29#2830C2213yescomplemented
30#2829C2216yes—
31#2829C2216yes—
32#2827C2216yescomplemented
33#2824C2213yes—
34#2824C2216yes—
35#2824C2213yes—
36#2823C2213yescomplemented
37#2821C2216yescomplemented
38#2816C2216yes—
39#2814C2216yescomplemented
40#2814C2216yescomplemented
41#2812C2213yes—
42#2812C2216yes—
43#2810C2212yescomplemented
44#2791C2216yescomplemented
45#2784C2213yescomplemented
46#2781C2216yescomplemented
47#2775C2216yescomplemented
48#2773C2216yescomplemented
49#2769C2213yescomplemented
50#2761C2216yescomplemented
51#2737C2216yescomplemented
52#2736C2212yescomplemented
53#2736C2211yescharacteristic, complemented
54#2729C2216yescomplemented
55#2723C2216yescomplemented
56#2722C2213yescomplemented
57#2716C2216yescomplemented
58#2706C2216yes—
59#2698C2216yescomplemented
60#2697C2216yescomplemented
61#2692C2216yescomplemented
62#2685C2216yescomplemented
63#2685C2216yescomplemented
64#2681C2216yes—
65#2680C2213yescomplemented
66#2679C2212yescomplemented
67#2679C2211yescharacteristic, complemented
68#2678C2216yes—
69#2677C2213yescomplemented
70#2668C2213yes—
71#2666C2216yescomplemented
72#2662C2216yes—
73#2654C2216yescomplemented
74#2651C2216yescomplemented
75#2651C2216yescomplemented
76#2650C2216yescomplemented
77#2637C2216yescomplemented
78#2632C2216yescomplemented
79#2610C2213yes—
80#2607C2213yescomplemented
81#2606C2213yescomplemented
82#2602C2216yes—
83#2599C2213yescomplemented
84#2595C2216yescomplemented
85#2592C2213yescomplemented
86#2587C2216yescomplemented
87#2577C2216yescomplemented
88#2577C2216yescomplemented
89#2572C2216yescomplemented
90#2560C2216yescomplemented
91#2560C2216yescomplemented
92#2559C2216yes—
93#2557C2216yes—
94#2554C2216yes—
95#2554C2216yes—
96#2553C2216yescomplemented
97#2539C2213yes—
98#2534C2216yescomplemented
99#2532C2216yescomplemented
100#2531C2216yescomplemented
101#2531C2216yescomplemented
102#2529C2216yescomplemented
103#2520C2216yescomplemented
104#2518C2216yescomplemented
105#2518C2216yescomplemented
106#2518C2216yescomplemented
107#2517C2216yescomplemented
108#2515C2216yescomplemented
109#2513C2216yescomplemented
110#2500C2213yes—
111#2491C2216yes—
112#2482C2213yescomplemented
113#2480C2216yescomplemented
114#2477C2216yescomplemented
115#2476C2216yes—
116#2472C2216yescomplemented
117#2472C2216yescomplemented
118#2472C2216yescomplemented
119#2469C2216yescomplemented
120#2467C2216yes—
121#2466C2216yescomplemented
122#2458C2216yescomplemented
123#2458C2216yescomplemented
124#2458C2216yescomplemented
125#2439C2216yescomplemented
126#2429C2216yescomplemented
127#2424C2216yes—
128#2423C2216yescomplemented
129#2418C2216yescomplemented
130#2411C2216yescomplemented
131#2399C2213yescomplemented
132#2398C2213yescomplemented
133#2396C2216yescomplemented
134#2396C2213yescomplemented
135#2395C2216yescomplemented
136#2392C2213yes—
137#2337C2213yescomplemented
138#2335C2216yescomplemented
139#2333C2213yes—
140C4×#126C2216yescomplemented
141C4×#124C2216yescomplemented
142#2298C2213yescomplemented
143#2293C2213yescomplemented
144#2276C2211yescharacteristic, complemented
145#2273C2211yescharacteristic, complemented
146#2273C2212yescomplemented
147C42×Q8C2211yescharacteristic, complemented
148C2×C4⋊Q8C2316yes—
149C2×#126C2316yes—
150C2×#126C2316yes—
151C2×#126C2316yes—
152C2×#124C2313yes—
153C2×#124C2316yes—
154C2×#123C2316yes—
155C2×#123C2316yes—
156C2×#123C2316yes—
157C2×C22⋊Q8C2316yes—
158C2×C22⋊Q8C2316yes—
159C2×C22⋊Q8C2316yes—
160C2×#121C2313yes—
161C2×#121C2316yes—
162C2×#120C2316yes—
163C2×#120C2316yes—
164C2×#120C2316yes—
165C2×C4×Q8C2313yes—
166C2×C4×Q8C2313yes—
167C2×C4×Q8C2316yes—
168C2×C4×D4C2313yes—
169C2×C4×D4C2316yes—
170C2×#117C2313yes—
171C2×#117C2316yes—
172C22×C22⋊C4C2316yes—
173C22×C22⋊C4C2313yes—
174#400C2316yes—
175#400C2316yes—
176#400C2316yes—
177#400C2316yes—
178#400C2316yes—
179#400C2316yes—
180#400C2313yes—
181#400C2316yes—
182#399C2316yes—
183#399C2316yes—
184#399C2316yes—
185#399C2316yes—
186#399C2316yes—
187#399C2313yes—
188#398C2316yes—
189#398C2316yes—
190#398C2316yes—
191#398C2316yes—
192#398C2313yes—
193#398C2316yes—
194#398C2316yes—
195#398C2316yes—
196#398C2316yes—
197#398C2313yes—
198#398C2316yes—
199#398C2316yes—
200#398C2316yes—
201#398C2316yes—
202#398C2316yes—
203#398C2316yes—
204#397C2316yes—
205#397C2316yes—
206#397C2316yes—
207#397C2316yes—
208#397C2316yes—
209#397C2316yes—
210#397C2313yes—
211#397C2316yes—
212#397C2313yes—
213#397C2316yes—
214#397C2316yes—
215#397C2316yes—
216#397C2316yes—
217#397C2316yes—
218#397C2316yes—
219#397C2316yes—
220#397C2316yes—
221#397C2316yes—
222#397C2316yes—
223#396C2316yes—
224#396C2316yes—
225#396C2316yes—
226#396C2316yes—
227#396C2316yes—
228#396C2316yes—
229#396C2316yes—
230#396C2316yes—
231#396C2316yes—
232#396C2316yes—
233#396C2316yes—
234#395C2313yes—
235#395C2316yes—
236#395C2313yes—
237#395C2316yes—
238#395C2313yes—
239#395C2316yes—
240#394C2316yes—
241#394C2316yes—
242#394C2313yes—
243#394C2316yes—
244#394C2316yes—
245#394C2316yes—
246#394C2316yes—
247#394C2316yes—
248#394C2316yes—
249#394C2316yes—
250#394C2316yes—
251#394C2316yes—
252#394C2316yes—
253#394C2316yes—
254#394C2316yes—
255#394C2313yes—
256#394C2316yes—
257#394C2316yes—
258#394C2316yes—
259#394C2316yes—
260#394C2316yes—
261#394C2316yes—
262#393C2316yes—
263#393C2316yes—
264#393C2313yes—
265#393C2316yes—
266#393C2316yes—
267#393C2313yes—
268#393C2316yes—
269#393C2316yes—
270#393C2316yes—
271#393C2313yes—
272#393C2316yes—
273#393C2316yes—
274#392C2316yes—
275#392C2313yes—
276#392C2313yes—
277#392C2316yes—
278#391C2316yes—
279#391C2316yes—
280#391C2316yes—
281#391C2316yes—
282#390C2316yes—
283#390C2316yes—
284#390C2316yes—
285#390C2316yes—
286#390C2316yes—
287#390C2316yes—
288#390C2313yes—
289#390C2313yes—
290#390C2316yes—
291#390C2316yes—
292#389C2316yes—
293#389C2316yes—
294#389C2316yes—
295#389C2316yes—
296#389C2316yes—
297#389C2316yes—
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#388C2316yes—
315#388C2316yes—
316#388C2316yes—
317#388C2316yes—
318#388C2316yes—
319#388C2316yes—
320#388C2316yes—
321#388C2316yes—
322#388C2316yes—
323#388C2316yes—
324#388C2316yes—
325#388C2316yes—
326#388C2316yes—
327#388C2316yes—
328#387C2316yes—
329#387C2316yes—
330#387C2316yes—
331#387C2316yes—
332#387C2316yes—
333#387C2316yes—
334#387C2316yes—
335#387C2316yes—
336#387C2316yes—
337#387C2316yes—
338#387C2316yes—
339#387C2316yes—
340#387C2316yes—
341#387C2316yes—
342#387C2316yes—
343#387C2316yes—
344#387C2316yes—
345#387C2316yes—
346#386C2316yes—
347#386C2316yes—
348#386C2316yes—
349#386C2316yes—
350#386C2316yes—
351#386C2316yes—
352#386C2316yes—
353#386C2316yes—
354#386C2316yes—
355#385C2316yes—
356#385C2313yes—
357#385C2313yes—
358#385C2316yes—
359#385C2316yes—
360#385C2316yes—
361#385C2316yes—
362#384C2313yes—
363#383C2316yes—
364#383C2316yes—
365#383C2313yes—
366#382C2313yes—
367#382C2316yes—
368#382C2316yes—
369#382C2316yes—
370#381C2316yes—
371#381C2313yes—
372#380C2316yes—
373#380C2316yes—
374#380C2316yes—
375#379C2316yes—
376#379C2313yes—
377#379C2313yes—
378#379C2316yes—
379C4×C4⋊C4C2313yes—
380C4×C4⋊C4C2316yes—
381C4×C4⋊C4C2316yes—
382C4×C4⋊C4C2313yes—
383C4×C4⋊C4C2313yes—
384C4×C4⋊C4C2316yes—
385C4×C4⋊C4C2313yes—
386C4×C4⋊C4C2316yes—
387C4×C22⋊C4C2316yes—
388C4×C22⋊C4C2316yes—
389C4×C22⋊C4C2316yes—
390C4×C22⋊C4C2316yes—
391C4×C22⋊C4C2316yes—
392C4×C22⋊C4C2316yes—
393C4×C22⋊C4C2316yes—
394C4×C22⋊C4C2313yes—
395C4×C22⋊C4C2313yes—
396C4×C22⋊C4C2316yes—
397C4×C22⋊C4C2313yes—
398C4×C22⋊C4C2316yes—
399#376C2313yes—
400#376C2313yes—
401C43C2313yes—
402C25C2412yes—
403C25C2411yescharacteristic
404C22×Q8C2411yescharacteristic
405C22×Q8C2411yescharacteristic
406C22×Q8C2416yes—
407C22×Q8C2413yes—
408C22×D4C2416yes—
409C22×D4C2413yes—
410C22×D4C2416yes—
411C22×D4C2413yes—
412C22×D4C2413yes—
413C22×D4C2416yes—
414C23×C4C2413yes—
415C23×C4C2416yes—
416C23×C4C2416yes—
417C23×C4C2413yes—
418C4⋊Q8—86no—
419#126—412no—
420#126—86no—
421#126—86no—
422#124—46no—
423#124—412no—
424#123—412no—
425#123—86no—
426#123—86no—
427C22⋊Q8—86no—
428C22⋊Q8—86no—
429C22⋊Q8—86no—
430#121—46no—
431#121—86no—
432#120—86no—
433#120—86no—
434#120—86no—
435C4×Q8—46no—
436C4×Q8—46no—
437C4×Q8—86no—
438C4×D4—46no—
439C4×D4—86no—
440#117—46no—
441#117—86no—
442C2×C4⋊C4C2416yes—
443C2×C4⋊C4C2416yes—
444C2×C4⋊C4C2416yes—
445C2×C4⋊C4C2413yes—
446C2×C4⋊C4C2413yes—
447C2×C4⋊C4C2416yes—
448C2×C4⋊C4C2413yes—
449C2×C4⋊C4C2416yes—
450C2×C4⋊C4C2416yes—
451C2×C4⋊C4C2416yes—
452C2×C4⋊C4C2413yes—
453C2×C4⋊C4C2416yes—
454C2×C4⋊C4C2413yes—
455C2×C4⋊C4C2416yes—
456C2×C4⋊C4C2413yes—
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⋊C4C2416yes—
467C2×C4⋊C4C2416yes—
468C2×C4⋊C4C2416yes—
469C2×C22⋊C4—412no—
470C2×C22⋊C4—46no—
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⋊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⋊C4C2416yes—
497C2×C22⋊C4C2416yes—
498C2×C22⋊C4C2416yes—
499C2×C22⋊C4C2416yes—
500C2×C22⋊C4C2416yes—
501C2×C22⋊C4C2413yes—
502C2×C22⋊C4C2416yes—
503C2×C22⋊C4C2416yes—
504C2×C22⋊C4C2413yes—
505C2×C22⋊C4C2416yes—
506C2×C42C2413yes—
507C2×C42C2413yes—
508C2×C42C2416yes—
509C2×C42C2413yes—
510C2×C42C2416yes—
511C2×C42C2416yes—
512C2×C42C2413yes—
513C2×C42C2416yes—
514C2×C42C2413yes—
515C2×C42C2416yes—
516C2×C42C2411yescharacteristic
517C2×C42C2413yes—
518C2×C42C2411yescharacteristic
519C2×C42C2412yes—
520C2×C42C2412yes—
521#95C2411yescharacteristic
522#95C2416yes—
523#95C2413yes—
524#95C2416yes—
525#95C2416yes—
526#95C2416yes—
527#95C2416yes—
528#95C2416yes—
529#95C2412yes—
530#95C2412yes—
531#95C2412yes—
532#95C2416yes—
533#95C2416yes—
534#95C2416yes—
535#95C2416yes—
536#95C2416yes—
537#95C2416yes—
538#95C2416yes—
539#95C2416yes—
540#95C2416yes—
541#95C2413yes—
542#95C2412yes—
543#95C2411yescharacteristic
544#95C2413yes—
545#95C2416yes—
546#95C2416yes—
547#95C2416yes—
548#95C2416yes—
549#95C2413yes—
550#95C2416yes—
551#95C2416yes—
552#95C2416yes—
553#95C2416yes—
554#95C2416yes—
555#95C2416yes—
556#95C2416yes—
557#95C2416yes—
558#95C2413yes—
559#95C2413yes—
560#95C2416yes—
561C24—43no—
562C24—46no—
563C24—43no—
564C24—46no—
565C24—42no—
566C24—41no—
567C24C2516yes—
568C24C2513yes—
569C2×Q8—43no—
570C2×Q8—43no—
571C2×Q8—46no—
572C2×Q8—46no—
573C2×Q8—46no—
574C2×Q8—46no—
575C2×Q8—43no—
576C2×D4—43no—
577C2×D4—46no—
578C2×D4—46no—
579C2×D4—46no—
580C2×D4—46no—
581C2×D4—43no—
582C2×D4—46no—
583C2×D4—46no—
584C2×D4—46no—
585C2×D4—46no—
586C2×D4—46no—
587C2×D4—43no—
588C2×D4—46no—
589C2×D4—43no—
590C2×D4—46no—
591C2×D4—43no—
592C22×C4—26no—
593C22×C4—212no—
594C22×C4—46no—
595C22×C4—43no—
596C22×C4—46no—
597C22×C4—43no—
598C22×C4—43no—
599C22×C4—46no—
600C22×C4—46no—
601C22×C4—46no—
602C22×C4—46no—
603C22×C4C2513yes—
604C22×C4C2513yes—
605C22×C4C2513yes—
606C22×C4C2516yes—
607C22×C4C2516yes—
608C22×C4C2516yes—
609C22×C4C2513yes—
610C22×C4C2516yes—
611C22×C4C2516yes—
612C22×C4C2516yes—
613C22×C4C2513yes—
614C22×C4C2513yes—
615C4⋊C4—212no—
616C4⋊C4—46no—
617C4⋊C4—43no—
618C4⋊C4—43no—
619C4⋊C4—46no—
620C4⋊C4—46no—
621C4⋊C4—43no—
622C4⋊C4—46no—
623C4⋊C4—46no—
624C4⋊C4—43no—
625C4⋊C4—43no—
626C4⋊C4—46no—
627C4⋊C4—46no—
628C4⋊C4—46no—
629C4⋊C4—43no—
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—46no—
639C4⋊C4—46no—
640C4⋊C4—46no—
641C4⋊C4—46no—
642C22⋊C4—212no—
643C22⋊C4—212no—
644C22⋊C4—212no—
645C22⋊C4—46no—
646C22⋊C4—46no—
647C22⋊C4—46no—
648C22⋊C4—46no—
649C22⋊C4—43no—
650C22⋊C4—43no—
651C22⋊C4—43no—
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—46no—
669C22⋊C4—46no—
670C22⋊C4—46no—
671C22⋊C4—46no—
672C22⋊C4—46no—
673C22⋊C4—46no—
674C22⋊C4—46no—
675C22⋊C4—46no—
676C22⋊C4—43no—
677C42—26no—
678C42—26no—
679C42—212no—
680C42—41no—
681C42—43no—
682C42—42no—
683C42—42no—
684C42—41no—
685C42—43no—
686C42—46no—
687C42—46no—
688C42—46no—
689C42—43no—
690C42—43no—
691C42—46no—
692C23—26no—
693C23—26no—
694C23—26no—
695C23—26no—
696C23—23no—
697C23—23no—
698C23—26no—
699C23—26no—
700C23—26no—
701C23—26no—
702C23—26no—
703C23—23no—
704C23—48no—
705C23—44no—
706C23—166no—
707C23—163no—
708C23—166no—
709C23—163no—
710C23C2611yescharacteristic
711Q8—44no—
712Q8—44no—
713Q8—812no—
714Q8—163no—
715D4—86no—
716D4—812no—
717D4—163no—
718D4—166no—
719D4—166no—
720D4—163no—
721C2×C4—23no—
722C2×C4—23no—
723C2×C4—23no—
724C2×C4—23no—
725C2×C4—23no—
726C2×C4—26no—
727C2×C4—23no—
728C2×C4—26no—
729C2×C4—26no—
730C2×C4—26no—
731C2×C4—26no—
732C2×C4—26no—
733C2×C4—26no—
734C2×C4—26no—
735C2×C4—23no—
736C2×C4—23no—
737C2×C4—26no—
738C2×C4—26no—
739C2×C4—26no—
740C2×C4—26no—
741C2×C4—26no—
742C2×C4—26no—
743C2×C4—26no—
744C2×C4—26no—
745C2×C4—26no—
746C2×C4—26no—
747C2×C4—26no—
748C2×C4—26no—
749C2×C4—26no—
750C2×C4—26no—
751C2×C4—23no—
752C2×C4—812no—
753C2×C4—86no—
754C2×C4—166no—
755C2×C4—163no—
756C2×C4#58516yes—
757C22—46no—
758C22—43no—
759C22—46no—
760C22—46no—
761C22—46no—
762C22—46no—
763C22—43no—
764C22—46no—
765C22—46no—
766C22—46no—
767C22—46no—
768C22—43no—
769C22—168no—
770C22—164no—
771C22C2×#58513yes—
772C22H(7,𝔽2)13yes—
773C222−1+611yescharacteristic
774C4—26no—
775C4—46no—
776C4—43no—
777C4—46no—
778C4—46no—
779C4—46no—
780C4—46no—
781C4—43no—
782C4—46no—
783C4—43no—
784C4—43no—
785C4—43no—
786C2—86no—
787C2—83no—
788C2#6269411yescharacteristic
789C2#6287213yes—
790C2#6288513yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #52936C2semidirect
2. #52930C2semidirect
3. #52919C2semidirect
4. #52708C2semidirect
5. #52699C2semidirect
6. #52696C2semidirect
7. #52619C2semidirect
8. #52599C2semidirect
9. #52584C2semidirect
10. #52563C2semidirect
11. #35500C2semidirect
12. #35475C2semidirect
13. #35474C2semidirect
14. #34603C2semidirect
15. #2845C22semidirect
16. #2845C22semidirect
17. #2844C22semidirect
18. #2840C22semidirect
19. #2840C22semidirect
20. #2837C22semidirect
21. #2837C22semidirect
22. #2837C22semidirect
23. #2836C22semidirect
24. #2832C22semidirect
25. #2831C22semidirect
26. #2830C22semidirect
27. #2830C22semidirect
28. #2830C22semidirect
29. #2830C22semidirect
32. #2827C22semidirect
36. #2823C22semidirect
37. #2821C22semidirect
39. #2814C22semidirect
40. #2814C22semidirect
43. #2810C22semidirect
44. #2791C22semidirect
45. #2784C22semidirect
46. #2781C22semidirect
47. #2775C22semidirect
48. #2773C22semidirect
49. #2769C22semidirect
50. #2761C22semidirect
51. #2737C22semidirect
52. #2736C22semidirect
53. #2736C22semidirect
54. #2729C22semidirect
55. #2723C22semidirect
56. #2722C22semidirect
57. #2716C22semidirect
59. #2698C22semidirect
60. #2697C22semidirect
61. #2692C22semidirect
62. #2685C22semidirect
63. #2685C22semidirect
65. #2680C22semidirect
66. #2679C22semidirect
67. #2679C22semidirect
69. #2677C22semidirect
71. #2666C22semidirect
73. #2654C22semidirect
74. #2651C22semidirect
75. #2651C22semidirect
76. #2650C22semidirect
77. #2637C22semidirect
78. #2632C22semidirect
80. #2607C22semidirect
81. #2606C22semidirect
83. #2599C22semidirect
84. #2595C22semidirect
85. #2592C22semidirect
86. #2587C22semidirect
87. #2577C22semidirect
88. #2577C22semidirect
89. #2572C22semidirect
90. #2560C22semidirect
91. #2560C22semidirect
96. #2553C22semidirect
98. #2534C22semidirect
99. #2532C22semidirect
100. #2531C22semidirect
101. #2531C22semidirect
102. #2529C22semidirect
103. #2520C22semidirect
104. #2518C22semidirect
105. #2518C22semidirect
106. #2518C22semidirect
107. #2517C22semidirect
108. #2515C22semidirect
109. #2513C22semidirect
112. #2482C22semidirect
113. #2480C22semidirect
114. #2477C22semidirect
116. #2472C22semidirect
117. #2472C22semidirect
118. #2472C22semidirect
119. #2469C22semidirect
121. #2466C22semidirect
122. #2458C22semidirect
123. #2458C22semidirect
124. #2458C22semidirect
125. #2439C22semidirect
126. #2429C22semidirect
128. #2423C22semidirect
129. #2418C22semidirect
130. #2411C22semidirect
131. #2399C22semidirect
132. #2398C22semidirect
133. #2396C22semidirect
134. #2396C22semidirect
135. #2395C22semidirect
137. #2337C22semidirect
138. #2335C22semidirect
140. C4×#126C22semidirect
141. C4×#124C22semidirect
142. #2298C22semidirect
143. #2293C22semidirect
144. #2276C22semidirect
145. #2273C22semidirect
146. #2273C22semidirect
147. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#529362
#529302
#529192
#527082
#526992
#526962
#526192
#525992
#525842
#525632
#355002
#354752
#354742
#346032