Finite Group Databasebeta

← #8093447

Subgroups — #8093447

Order 512.

4283 conjugacy classes of subgroups.

The subgroup lattice has 811 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52903C216yesmaximal, complemented
2#52708C213yesmaximal, complemented
3#52696C213yesmaximal, complemented
4#52643C213yesmaximal, complemented
5#52634C213yesmaximal, complemented
6#52633C216yesmaximal, complemented
7#52543C216yesmaximal, complemented
8#52526C216yesmaximal, complemented
9#52506C216yesmaximal, complemented
10#52486C216yesmaximal, complemented
11#35510C211yesmaximal, characteristic, complemented
12#35505C213yesmaximal, complemented
13#35432C212yesmaximal, complemented
14#35416C216yesmaximal, complemented
15#34597C213yesmaximal, complemented
16#2837C2216yescomplemented
17#2837C2216yescomplemented
18#2837C2216yescomplemented
19#2836C2216yescomplemented
20#2835C2213yescomplemented
21#2831C2216yescomplemented
22#2830C2213yescomplemented
23#2830C2213yescomplemented
24#2829C2216yes—
25#2829C2216yes—
26#2829C2216yescomplemented
27#2829C2216yescomplemented
28#2828C2216yescomplemented
29#2827C2216yescomplemented
30#2824C2213yes—
31#2824C2216yescomplemented
32#2823C2213yescomplemented
33#2822C2213yescomplemented
34#2820C2216yescomplemented
35#2818C2212yes—
36#2816C2216yes—
37#2813C2216yes—
38#2813C2216yes—
39#2812C2213yes—
40#2812C2213yes—
41#2812C2216yescomplemented
42#2793C2216yescomplemented
43#2785C2211yescharacteristic, complemented
44#2781C2216yescomplemented
45#2773C2216yescomplemented
46#2761C2216yescomplemented
47#2738C2216yescomplemented
48#2736C2213yescomplemented
49#2730C2216yescomplemented
50#2727C2216yescomplemented
51#2722C2213yescomplemented
52#2719C2216yescomplemented
53#2711C2216yescomplemented
54#2711C2216yescomplemented
55#2710C2216yescomplemented
56#2708C2216yes—
57#2707C2216yescomplemented
58#2699C2213yescomplemented
59#2690C2216yescomplemented
60#2685C2216yescomplemented
61#2680C2213yescomplemented
62#2679C2213yescomplemented
63#2678C2216yes—
64#2678C2216yescomplemented
65#2675C2211yescharacteristic
66#2670C2213yescomplemented
67#2669C2216yes—
68#2667C2216yescomplemented
69#2661C2216yes—
70#2654C2216yescomplemented
71#2651C2216yescomplemented
72#2649C2216yescomplemented
73#2648C2216yescomplemented
74#2635C2216yescomplemented
75#2630C2216yescomplemented
76#2610C2213yes—
77#2608C2213yescomplemented
78#2605C2213yescomplemented
79#2602C2216yes—
80#2599C2213yescomplemented
81#2597C2216yescomplemented
82#2597C2216yescomplemented
83#2595C2216yescomplemented
84#2593C2216yescomplemented
85#2592C2213yescomplemented
86#2590C2216yescomplemented
87#2578C2216yescomplemented
88#2575C2216yescomplemented
89#2574C2216yescomplemented
90#2558C2216yescomplemented
91#2558C2216yescomplemented
92#2556C2216yescomplemented
93#2555C2216yes—
94#2539C2213yes—
95#2534C2216yescomplemented
96#2532C2216yescomplemented
97#2531C2216yescomplemented
98#2526C2216yescomplemented
99#2526C2216yescomplemented
100#2522C2216yescomplemented
101#2518C2216yescomplemented
102#2500C2213yes—
103#2490C2216yes—
104#2482C2213yescomplemented
105#2472C2216yescomplemented
106#2471C2216yes—
107#2470C2216yescomplemented
108#2468C2216yescomplemented
109#2467C2216yes—
110#2467C2216yescomplemented
111#2466C2216yescomplemented
112#2464C2216yes—
113#2464C2216yes—
114#2460C2216yescomplemented
115#2459C2216yescomplemented
116#2458C2216yescomplemented
117#2458C2216yescomplemented
118#2445C2216yes—
119#2441C2216yescomplemented
120#2427C2216yescomplemented
121#2424C2216yes—
122#2424C2216yescomplemented
123#2424C2216yescomplemented
124#2420C2216yescomplemented
125#2418C2216yescomplemented
126#2418C2216yescomplemented
127#2411C2216yescomplemented
128#2402C2213yescomplemented
129#2397C2213yescomplemented
130#2395C2216yescomplemented
131#2392C2213yes—
132#2392C2216yescomplemented
133#2392C2213yescomplemented
134#2337C2213yescomplemented
135#2335C2216yescomplemented
136#2333C2213yes—
137C4×#123C2216yescomplemented
138C4×#121C2216yescomplemented
139#2298C2213yescomplemented
140#2293C2213yescomplemented
141#2276C2211yescharacteristic, complemented
142#2273C2213yescomplemented
143C42×D4C2211yescharacteristic, complemented
144C2×#127C2312yes—
145C2×#126C2312yes—
146C2×#126C2316yes—
147C2×#125C2316yes—
148C2×#125C2316yes—
149C2×#124C2313yes—
150C2×#124C2316yes—
151C2×#123C2316yes—
152C2×#123C2316yes—
153C2×#123C2316yes—
154C2×#123C2316yes—
155C2×C22⋊Q8C2316yes—
156C2×#121C2313yes—
157C2×#121C2316yes—
158C2×#121C2316yes—
159C2×#121C2316yes—
160C2×#121C2316yes—
161C2×#120C2316yes—
162C2×#120C2316yes—
163C2×#120C2316yes—
164C2×#120C2316yes—
165C2×C4×Q8C2313yes—
166C2×C4×D4C2313yes—
167C2×C4×D4C2313yes—
168C2×C4×D4C2316yes—
169C2×C4×D4C2316yes—
170C2×C4×D4C2316yes—
171C2×C4×D4C2316yes—
172C2×#117C2313yes—
173C2×#117C2316yes—
174C22×C22⋊C4C2316yes—
175C22×C22⋊C4C2313yes—
176C22×C42C2312yes—
177#400C2316yes—
178#400C2316yes—
179#400C2316yes—
180#400C2316yes—
181#400C2316yes—
182#400C2316yes—
183#400C2316yes—
184#400C2316yes—
185#399C2316yes—
186#399C2316yes—
187#399C2316yes—
188#399C2316yes—
189#399C2316yes—
190#399C2316yes—
191#399C2316yes—
192#398C2316yes—
193#398C2316yes—
194#398C2316yes—
195#398C2316yes—
196#398C2313yes—
197#398C2313yes—
198#398C2313yes—
199#398C2316yes—
200#398C2316yes—
201#398C2316yes—
202#398C2316yes—
203#398C2316yes—
204#397C2316yes—
205#397C2316yes—
206#397C2316yes—
207#397C2316yes—
208#397C2316yes—
209#397C2316yes—
210#397C2316yes—
211#397C2316yes—
212#397C2316yes—
213#397C2313yes—
214#397C2316yes—
215#397C2316yes—
216#397C2313yes—
217#397C2316yes—
218#397C2316yes—
219#397C2313yes—
220#397C2316yes—
221#396C2312yes—
222#396C2316yes—
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#395C2311yescharacteristic
237#394C2316yes—
238#394C2316yes—
239#394C2316yes—
240#394C2316yes—
241#394C2316yes—
242#394C2316yes—
243#394C2316yes—
244#394C2316yes—
245#394C2316yes—
246#394C2316yes—
247#394C2313yes—
248#394C2316yes—
249#394C2316yes—
250#394C2316yes—
251#394C2316yes—
252#394C2316yes—
253#394C2316yes—
254#394C2316yes—
255#394C2313yes—
256#394C2316yes—
257#394C2313yes—
258#394C2316yes—
259#394C2316yes—
260#394C2316yes—
261#394C2316yes—
262#394C2316yes—
263#394C2316yes—
264#394C2316yes—
265#394C2316yes—
266#394C2316yes—
267#393C2313yes—
268#393C2316yes—
269#393C2313yes—
270#393C2316yes—
271#393C2312yes—
272#392C2316yes—
273#392C2316yes—
274#392C2313yes—
275#392C2316yes—
276#392C2313yes—
277#392C2316yes—
278#392C2316yes—
279#392C2316yes—
280#392C2316yes—
281#392C2311yescharacteristic
282#392C2316yes—
283#391C2316yes—
284#391C2316yes—
285#390C2316yes—
286#390C2316yes—
287#390C2316yes—
288#390C2316yes—
289#390C2316yes—
290#390C2313yes—
291#390C2313yes—
292#390C2316yes—
293#390C2316yes—
294#390C2316yes—
295#390C2316yes—
296#389C2316yes—
297#389C2316yes—
298#389C2316yes—
299#389C2316yes—
300#389C2316yes—
301#389C2316yes—
302#389C2316yes—
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#388C2316yes—
329#388C2316yes—
330#388C2316yes—
331#388C2316yes—
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#387C2316yes—
347#386C2316yes—
348#386C2316yes—
349#386C2316yes—
350#386C2316yes—
351#386C2316yes—
352#386C2316yes—
353#386C2316yes—
354#386C2316yes—
355#386C2316yes—
356#386C2316yes—
357#386C2316yes—
358#385C2313yes—
359#385C2316yes—
360#385C2316yes—
361#385C2316yes—
362#385C2316yes—
363#385C2313yes—
364#385C2316yes—
365#385C2316yes—
366#385C2316yes—
367#384C2313yes—
368#383C2312yes—
369#383C2313yes—
370#382C2316yes—
371#382C2313yes—
372#381C2316yes—
373#381C2313yes—
374#381C2316yes—
375#380C2316yes—
376#380C2316yes—
377#380C2316yes—
378#380C2316yes—
379#379C2313yes—
380#379C2313yes—
381#379C2316yes—
382C4×C4⋊C4C2316yes—
383C4×C4⋊C4C2313yes—
384C4×C4⋊C4C2316yes—
385C4×C4⋊C4C2316yes—
386C4×C4⋊C4C2313yes—
387C4×C4⋊C4C2313yes—
388C4×C4⋊C4C2313yes—
389C4×C22⋊C4C2316yes—
390C4×C22⋊C4C2316yes—
391C4×C22⋊C4C2316yes—
392C4×C22⋊C4C2316yes—
393C4×C22⋊C4C2313yes—
394C4×C22⋊C4C2313yes—
395C4×C22⋊C4C2316yes—
396C4×C22⋊C4C2316yes—
397C4×C22⋊C4C2313yes—
398C4×C22⋊C4C2316yes—
399C4×C22⋊C4C2316yes—
400#376C2313yes—
401#376C2313yes—
402C43C2311yescharacteristic
403C25C2413yes—
404C22×Q8C2411yescharacteristic
405C22×Q8C2413yes—
406C22×D4C2411yescharacteristic
407C22×D4C2416yes—
408C22×D4C2413yes—
409C22×D4C2416yes—
410C22×D4C2416yes—
411C22×D4C2416yes—
412C22×D4C2413yes—
413C22×D4C2416yes—
414C22×D4C2413yes—
415C22×D4C2416yes—
416C23×C4C2413yes—
417C23×C4C2416yes—
418C23×C4C2416yes—
419C23×C4C2416yes—
420C23×C4C2413yes—
421#127—82no—
422#126—86no—
423#126—82no—
424#125—86no—
425#125—86no—
426#124—46no—
427#124—86no—
428#123—412no—
429#123—412no—
430#123—86no—
431#123—86no—
432C22⋊Q8—86no—
433#121—46no—
434#121—412no—
435#121—86no—
436#121—86no—
437#121—86no—
438#120—86no—
439#120—86no—
440#120—86no—
441#120—86no—
442C4×Q8—46no—
443C4×D4—46no—
444C4×D4—46no—
445C4×D4—86no—
446C4×D4—86no—
447C4×D4—86no—
448C4×D4—86no—
449#117—46no—
450#117—86no—
451C2×C4⋊C4C2416yes—
452C2×C4⋊C4C2416yes—
453C2×C4⋊C4C2416yes—
454C2×C4⋊C4C2413yes—
455C2×C4⋊C4C2413yes—
456C2×C4⋊C4C2416yes—
457C2×C4⋊C4C2416yes—
458C2×C4⋊C4C2416yes—
459C2×C4⋊C4C2416yes—
460C2×C4⋊C4C2413yes—
461C2×C4⋊C4C2413yes—
462C2×C4⋊C4C2413yes—
463C2×C4⋊C4C2416yes—
464C2×C4⋊C4C2416yes—
465C2×C4⋊C4C2416yes—
466C2×C4⋊C4C2416yes—
467C2×C4⋊C4C2413yes—
468C2×C4⋊C4C2416yes—
469C2×C4⋊C4C2416yes—
470C2×C4⋊C4C2416yes—
471C2×C4⋊C4C2416yes—
472C2×C4⋊C4C2416yes—
473C2×C4⋊C4C2416yes—
474C2×C4⋊C4C2416yes—
475C2×C4⋊C4C2416yes—
476C2×C4⋊C4C2416yes—
477C2×C22⋊C4—46no—
478C2×C22⋊C4—412no—
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⋊C4C2413yes—
488C2×C22⋊C4C2413yes—
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⋊C4C2416yes—
502C2×C22⋊C4C2416yes—
503C2×C22⋊C4C2416yes—
504C2×C22⋊C4C2416yes—
505C2×C22⋊C4C2416yes—
506C2×C22⋊C4C2416yes—
507C2×C22⋊C4C2413yes—
508C2×C22⋊C4C2416yes—
509C2×C22⋊C4C2416yes—
510C2×C22⋊C4C2416yes—
511C2×C22⋊C4C2416yes—
512C2×C22⋊C4C2416yes—
513C2×C22⋊C4C2416yes—
514C2×C22⋊C4C2416yes—
515C2×C22⋊C4C2416yes—
516C2×C22⋊C4C2413yes—
517C2×C42—82no—
518C2×C42C2413yes—
519C2×C42C2413yes—
520C2×C42C2413yes—
521C2×C42C2416yes—
522C2×C42C2413yes—
523C2×C42C2413yes—
524C2×C42C2416yes—
525C2×C42C2416yes—
526C2×C42C2416yes—
527C2×C42C2413yes—
528C2×C42C2413yes—
529C2×C42C2412yes—
530C2×C42C2411yescharacteristic
531#95C2411yescharacteristic
532#95C2416yes—
533#95C2413yes—
534#95C2416yes—
535#95C2416yes—
536#95C2416yes—
537#95C2416yes—
538#95C2416yes—
539#95C2416yes—
540#95C2413yes—
541#95C2413yes—
542#95C2416yes—
543#95C2416yes—
544#95C2416yes—
545#95C2416yes—
546#95C2416yes—
547#95C2416yes—
548#95C2416yes—
549#95C2413yes—
550#95C2413yes—
551#95C2416yes—
552#95C2416yes—
553#95C2416yes—
554#95C2416yes—
555#95C2416yes—
556#95C2416yes—
557#95C2416yes—
558#95C2416yes—
559#95C2416yes—
560#95C2413yes—
561#95C2413yes—
562#95C2416yes—
563#95C2416yes—
564C24—43no—
565C24—46no—
566C24—43no—
567C24—46no—
568C24—43no—
569C24C2513yes—
570C24C2516yes—
571C24C2512yes—
572C2×Q8—43no—
573C2×Q8—46no—
574C2×Q8—43no—
575C2×D4—43no—
576C2×D4—43no—
577C2×D4—46no—
578C2×D4—46no—
579C2×D4—46no—
580C2×D4—46no—
581C2×D4—46no—
582C2×D4—46no—
583C2×D4—46no—
584C2×D4—46no—
585C2×D4—46no—
586C2×D4—46no—
587C2×D4—46no—
588C2×D4—46no—
589C2×D4—46no—
590C2×D4—46no—
591C2×D4—43no—
592C2×D4—46no—
593C2×D4—46no—
594C2×D4—46no—
595C2×D4—46no—
596C2×D4—43no—
597C2×D4—43no—
598C2×D4—46no—
599C2×D4—46no—
600C2×D4—43no—
601C22×C4—26no—
602C22×C4—212no—
603C22×C4—212no—
604C22×C4—46no—
605C22×C4—46no—
606C22×C4—43no—
607C22×C4—46no—
608C22×C4—43no—
609C22×C4—46no—
610C22×C4—43no—
611C22×C4—46no—
612C22×C4—46no—
613C22×C4—46no—
614C22×C4—46no—
615C22×C4C2513yes—
616C22×C4C2511yescharacteristic
617C22×C4C2516yes—
618C22×C4C2513yes—
619C22×C4C2516yes—
620C22×C4C2516yes—
621C22×C4C2516yes—
622C22×C4C2516yes—
623C22×C4C2513yes—
624C22×C4C2513yes—
625C22×C4C2516yes—
626C22×C4C2513yes—
627C4⋊C4—212no—
628C4⋊C4—43no—
629C4⋊C4—43no—
630C4⋊C4—46no—
631C4⋊C4—46no—
632C4⋊C4—43no—
633C4⋊C4—43no—
634C4⋊C4—46no—
635C4⋊C4—46no—
636C4⋊C4—46no—
637C4⋊C4—46no—
638C4⋊C4—43no—
639C4⋊C4—43no—
640C4⋊C4—46no—
641C4⋊C4—46no—
642C4⋊C4—46no—
643C4⋊C4—46no—
644C4⋊C4—46no—
645C4⋊C4—46no—
646C4⋊C4—46no—
647C4⋊C4—46no—
648C4⋊C4—46no—
649C4⋊C4—46no—
650C4⋊C4—46no—
651C4⋊C4—46no—
652C4⋊C4—46no—
653C22⋊C4—212no—
654C22⋊C4—212no—
655C22⋊C4—212no—
656C22⋊C4—46no—
657C22⋊C4—46no—
658C22⋊C4—46no—
659C22⋊C4—43no—
660C22⋊C4—43no—
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—46no—
677C22⋊C4—46no—
678C22⋊C4—46no—
679C22⋊C4—46no—
680C22⋊C4—46no—
681C22⋊C4—43no—
682C22⋊C4—46no—
683C22⋊C4—46no—
684C22⋊C4—46no—
685C22⋊C4—46no—
686C22⋊C4—46no—
687C22⋊C4—46no—
688C22⋊C4—46no—
689C22⋊C4—46no—
690C22⋊C4—43no—
691C42—26no—
692C42—26no—
693C42—41no—
694C42—46no—
695C42—43no—
696C42—46no—
697C42—43no—
698C42—43no—
699C42—46no—
700C42—46no—
701C42—43no—
702C42—43no—
703C42—42no—
704C23—26no—
705C23—26no—
706C23—26no—
707C23—26no—
708C23—23no—
709C23—26no—
710C23—23no—
711C23—26no—
712C23—22no—
713C23—26no—
714C23—23no—
715C23—26no—
716C23—26no—
717C23—26no—
718C23—26no—
719C23—412no—
720C23—166no—
721C23—163no—
722C23—166no—
723C23—163no—
724C23C2611yescharacteristic
725Q8—44no—
726Q8—163no—
727D4—44no—
728D4—812no—
729D4—812no—
730D4—812no—
731D4—812no—
732D4—86no—
733D4—163no—
734D4—166no—
735D4—166no—
736D4—163no—
737C2×C4—23no—
738C2×C4—23no—
739C2×C4—23no—
740C2×C4—23no—
741C2×C4—23no—
742C2×C4—23no—
743C2×C4—26no—
744C2×C4—26no—
745C2×C4—26no—
746C2×C4—26no—
747C2×C4—26no—
748C2×C4—26no—
749C2×C4—26no—
750C2×C4—23no—
751C2×C4—26no—
752C2×C4—26no—
753C2×C4—26no—
754C2×C4—23no—
755C2×C4—26no—
756C2×C4—26no—
757C2×C4—26no—
758C2×C4—26no—
759C2×C4—26no—
760C2×C4—23no—
761C2×C4—26no—
762C2×C4—26no—
763C2×C4—26no—
764C2×C4—26no—
765C2×C4—26no—
766C2×C4—26no—
767C2×C4—812no—
768C2×C4—812no—
769C2×C4—86no—
770C2×C4—163no—
771C2×C4—166no—
772C2×C4#58516yes—
773C22—46no—
774C22—46no—
775C22—43no—
776C22—46no—
777C22—46no—
778C22—46no—
779C22—46no—
780C22—43no—
781C22—46no—
782C22—46no—
783C22—46no—
784C22—46no—
785C22—42no—
786C22—46no—
787C22—43no—
788C22—1612no—
789C22C2×#58513yes—
790C22H(7,𝔽2)11yescharacteristic
791C22H(7,𝔽2)13yes—
792C4—26no—
793C4—46no—
794C4—46no—
795C4—43no—
796C4—46no—
797C4—46no—
798C4—46no—
799C4—46no—
800C4—43no—
801C4—43no—
802C4—41no—
803C4—43no—
804C2—82no—
805C2—86no—
806C2—83no—
807C2#6269411yescharacteristic
808C2#6287013yes—
809C2#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. #52903C2semidirect
2. #52708C2semidirect
3. #52696C2semidirect
4. #52643C2semidirect
5. #52634C2semidirect
6. #52633C2semidirect
7. #52543C2semidirect
8. #52526C2semidirect
9. #52506C2semidirect
10. #52486C2semidirect
11. #35510C2semidirect
12. #35505C2semidirect
13. #35432C2semidirect
14. #35416C2semidirect
15. #34597C2semidirect
16. #2837C22semidirect
17. #2837C22semidirect
18. #2837C22semidirect
19. #2836C22semidirect
20. #2835C22semidirect
21. #2831C22semidirect
22. #2830C22semidirect
23. #2830C22semidirect
26. #2829C22semidirect
27. #2829C22semidirect
28. #2828C22semidirect
29. #2827C22semidirect
31. #2824C22semidirect
32. #2823C22semidirect
33. #2822C22semidirect
34. #2820C22semidirect
41. #2812C22semidirect
42. #2793C22semidirect
43. #2785C22semidirect
44. #2781C22semidirect
45. #2773C22semidirect
46. #2761C22semidirect
47. #2738C22semidirect
48. #2736C22semidirect
49. #2730C22semidirect
50. #2727C22semidirect
51. #2722C22semidirect
52. #2719C22semidirect
53. #2711C22semidirect
54. #2711C22semidirect
55. #2710C22semidirect
57. #2707C22semidirect
58. #2699C22semidirect
59. #2690C22semidirect
60. #2685C22semidirect
61. #2680C22semidirect
62. #2679C22semidirect
64. #2678C22semidirect
66. #2670C22semidirect
68. #2667C22semidirect
70. #2654C22semidirect
71. #2651C22semidirect
72. #2649C22semidirect
73. #2648C22semidirect
74. #2635C22semidirect
75. #2630C22semidirect
77. #2608C22semidirect
78. #2605C22semidirect
80. #2599C22semidirect
81. #2597C22semidirect
82. #2597C22semidirect
83. #2595C22semidirect
84. #2593C22semidirect
85. #2592C22semidirect
86. #2590C22semidirect
87. #2578C22semidirect
88. #2575C22semidirect
89. #2574C22semidirect
90. #2558C22semidirect
91. #2558C22semidirect
92. #2556C22semidirect
95. #2534C22semidirect
96. #2532C22semidirect
97. #2531C22semidirect
98. #2526C22semidirect
99. #2526C22semidirect
100. #2522C22semidirect
101. #2518C22semidirect
104. #2482C22semidirect
105. #2472C22semidirect
107. #2470C22semidirect
108. #2468C22semidirect
110. #2467C22semidirect
111. #2466C22semidirect
114. #2460C22semidirect
115. #2459C22semidirect
116. #2458C22semidirect
117. #2458C22semidirect
119. #2441C22semidirect
120. #2427C22semidirect
122. #2424C22semidirect
123. #2424C22semidirect
124. #2420C22semidirect
125. #2418C22semidirect
126. #2418C22semidirect
127. #2411C22semidirect
128. #2402C22semidirect
129. #2397C22semidirect
130. #2395C22semidirect
132. #2392C22semidirect
133. #2392C22semidirect
134. #2337C22semidirect
135. #2335C22semidirect
137. C4×#123C22semidirect
138. C4×#121C22semidirect
139. #2298C22semidirect
140. #2293C22semidirect
141. #2276C22semidirect
142. #2273C22semidirect
143. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#529032
#527082
#526962
#526432
#526342
#526332
#525432
#525262
#525062
#524862
#355102
#355052
#354322
#354162
#345972