Finite Group Databasebeta

← #8093391

Subgroups — #8093391

Order 512.

4908 conjugacy classes of subgroups.

The subgroup lattice has 1485 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52800C214yesmaximal, complemented
2#52722C214yesmaximal, complemented
3#52720C214yesmaximal, complemented
4#52585C214yesmaximal, complemented
5#52550C214yesmaximal, complemented
6#52547C214yesmaximal, complemented
7#52376C214yesmaximal, complemented
8#52374C214yesmaximal, complemented
9#52350C214yesmaximal, complemented
10#52348C214yesmaximal, complemented
11#52321C214yesmaximal, complemented
12#52319C214yesmaximal, complemented
13#35455C211yesmaximal, characteristic, complemented
14#35448C211yesmaximal, characteristic, complemented
15#35447C211yesmaximal, characteristic, complemented
16#35447C211yesmaximal, characteristic, complemented
17#35377C211yesmaximal, characteristic, complemented
18#35368C211yesmaximal, characteristic, complemented
19#35360C211yesmaximal, characteristic, complemented
20#35359C211yesmaximal, characteristic, complemented
21#35359C211yesmaximal, characteristic, complemented
22#35358C211yesmaximal, characteristic
23#35351C211yesmaximal, characteristic, complemented
24#35349C211yesmaximal, characteristic, complemented
25C2×#2623C211yesmaximal, characteristic, complemented
26C2×#2627C211yesmaximal, characteristic, complemented
27C2×#2618C211yesmaximal, characteristic, complemented
28C2×#543C2211yescharacteristic
29C2×#534C2211yescharacteristic
30C2×#534C2211yescharacteristic
31C22×#123C2211yescharacteristic
32C22×#123C2211yescharacteristic
33C22×#123C2211yescharacteristic
34C22×C22⋊Q8C2211yescharacteristic
35C22×#121C2211yescharacteristic
36C2×#518C2211yescharacteristic
37C2×#518C2211yescharacteristic
38C2×#518C2211yescharacteristic
39C23×C4⋊C4C2211yescharacteristic
40#2845C2214yescomplemented
41#2841C2214yescomplemented
42#2841C2214yescomplemented
43#2841C2214yescomplemented
44#2839C2214yescomplemented
45#2839C2214yescomplemented
46#2839C2214yescomplemented
47#2837C2214yescomplemented
48#2837C2214yescomplemented
49#2837C2214yescomplemented
50#2836C2214yescomplemented
51#2836C2214yescomplemented
52#2836C2214yescomplemented
53#2836C2214yescomplemented
54#2832C2214yescomplemented
55#2831C2214yescomplemented
56#2831C2214yescomplemented
57#2831C2214yescomplemented
58#2831C2214yescomplemented
59#2831C2214yescomplemented
60#2830C2214yescomplemented
61#2829C2214yescomplemented
62#2827C2214yescomplemented
63#2827C2214yescomplemented
64#2827C2214yescomplemented
65#2827C2214yescomplemented
66#2826C2214yescomplemented
67#2824C2214yescomplemented
68#2820C2214yescomplemented
69#2816C2214yescomplemented
70#2814C2214yescomplemented
71#2814C2214yescomplemented
72#2806C2214yescomplemented
73#2802C2214yescomplemented
74#2788C2214yescomplemented
75#2783C2214yescomplemented
76#2781C2214yescomplemented
77#2772C2214yescomplemented
78#2768C2214yescomplemented
79#2768C2214yescomplemented
80#2761C2214yescomplemented
81#2755C2214yescomplemented
82#2755C2214yescomplemented
83#2754C2214yescomplemented
84#2750C2214yescomplemented
85#2750C2214yescomplemented
86#2747C2214yescomplemented
87#2744C2214yescomplemented
88#2744C2214yescomplemented
89#2743C2214yescomplemented
90#2741C2214yescomplemented
91#2740C2214yescomplemented
92#2739C2214yescomplemented
93#2732C2214yescomplemented
94#2708C2214yescomplemented
95#2706C2214yescomplemented
96#2704C2214yescomplemented
97#2704C2214yescomplemented
98#2700C2214yescomplemented
99#2694C2214yescomplemented
100#2692C2214yescomplemented
101#2687C2214yescomplemented
102#2686C2214yescomplemented
103#2672C2214yescomplemented
104#2627C2214yescomplemented
105#2627C2214yescomplemented
106#2627C2214yescomplemented
107#2627C2214yescomplemented
108#2623C2214yes—
109#2623C2214yes—
110#2623C2214yescomplemented
111#2623C2214yescomplemented
112#2618C2214yes—
113#2618C2214yes—
114#2618C2214yescomplemented
115#2618C2214yescomplemented
116#2591C2212yescomplemented
117#2591C2212yescomplemented
118#2579C2212yescomplemented
119#2579C2212yescomplemented
120#2569C2214yescomplemented
121#2564C2214yescomplemented
122#2564C2214yescomplemented
123#2561C2214yescomplemented
124#2543C2214yes—
125#2534C2214yes—
126#2534C2212yescomplemented
127#2534C2212yescomplemented
128#2505C2214yescomplemented
129#2505C2214yescomplemented
130#2504C2212yescomplemented
131#2503C2214yescomplemented
132#2498C2214yescomplemented
133#2488C2214yes—
134#2488C2214yescomplemented
135#2488C2214yescomplemented
136#2488C2214yescomplemented
137#2488C2214yescomplemented
138#2488C2214yescomplemented
139#2487C2212yescomplemented
140#2486C2214yes—
141#2486C2212yescomplemented
142#2486C2212yescomplemented
143#2484C2212yescomplemented
144#2484C2214yescomplemented
145#2483C2212yescomplemented
146#2483C2214yescomplemented
147#2482C2212yescomplemented
148#2473C2214yescomplemented
149#2473C2214yescomplemented
150#2472C2214yes—
151#2472C2214yescomplemented
152#2450C2214yes—
153#2450C2214yescomplemented
154#2450C2214yescomplemented
155#2449C2214yes—
156#2449C2214yescomplemented
157#2449C2214yescomplemented
158#2444C2214yes—
159#2444C2214yescomplemented
160#2444C2214yescomplemented
161#2443C2214yes—
162#2443C2214yescomplemented
163#2443C2214yescomplemented
164#2442C2214yescomplemented
165#2438C2214yescomplemented
166#2438C2214yescomplemented
167#2438C2214yescomplemented
168#2437C2214yescomplemented
169#2437C2214yescomplemented
170#2437C2214yescomplemented
171#2436C2212yescomplemented
172#2425C2214yes—
173#2425C2214yescomplemented
174#2425C2214yescomplemented
175#2425C2214yescomplemented
176#2425C2214yescomplemented
177#2424C2214yes—
178#2419C2214yes—
179#2419C2214yescomplemented
180#2419C2214yescomplemented
181#2419C2214yescomplemented
182#2419C2214yescomplemented
183#2418C2214yes—
184#2417C2214yescomplemented
185#2417C2214yescomplemented
186#2416C2214yes—
187#2413C2212yes—
188#2413C2214yes—
189#2413C2212yescomplemented
190#2413C2212yescomplemented
191#2412C2212yes—
192#2412C2214yes—
193#2412C2214yescomplemented
194#2412C2212yescomplemented
195#2412C2212yescomplemented
196#2411C2212yes—
197#2410C2212yes—
198#2409C2212yescomplemented
199#2405C2212yescomplemented
200C2×#400C2212yescomplemented
201C2×#400C2212yescomplemented
202C2×#399C2212yescomplemented
203C2×#398C2212yescomplemented
204C2×#398C2212yescomplemented
205C2×#398C2212yescomplemented
206C2×#398C2212yescomplemented
207C2×#397C2212yescomplemented
208C2×#396C2212yescomplemented
209C2×#396C2212yescomplemented
210C2×#395C2212yescomplemented
211C2×#394C2212yescomplemented
212#2315C2211yescharacteristic
213#2315C2211yescharacteristic
214#2315C2211yescharacteristic
215#2315C2211yescharacteristic
216#2308C2211yescharacteristic
217#2308C2211yescharacteristic
218#2308C2211yescharacteristic
219#2308C2211yescharacteristic
220#2308C2211yescharacteristic
221C2×#386C2211yescharacteristic
222C2×#386C2211yescharacteristic
223C2×#386C2211yescharacteristic
224C2×#386C2211yescharacteristic
225C2×#385C2211yescharacteristic
226C2×#385C2211yescharacteristic
227C2×#385C2211yescharacteristic
228C2×#385C2211yescharacteristic
229C2×#381C2211yescharacteristic
230C2×#381C2211yescharacteristic
231C2×#381C2211yescharacteristic
232C2×#380C2211yescharacteristic
233C2×#380C2211yescharacteristic
234#2273C2211yescharacteristic
235C23×Q8C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243#543—44no—
244#534—44no—
245#534—44no—
246C2×#125C2314yes—
247C2×#124C2314yes—
248C2×#123—44no—
249C2×#123—44no—
250C2×#123—44no—
251C2×#123C2312yes—
252C2×#123C2312yes—
253C2×#123C2312yes—
254C2×#123C2312yes—
255C2×#123C2314yes—
256C2×#123C2314yes—
257C2×#123C2314yes—
258C2×#123C2314yes—
259C2×#123C2312yes—
260C2×#123C2312yes—
261C2×#123C2312yes—
262C2×#123C2312yes—
263C2×#123C2314yes—
264C2×#123C2314yes—
265C2×C22⋊Q8—44no—
266C2×C22⋊Q8C2314yes—
267C2×C22⋊Q8C2314yes—
268C2×C22⋊Q8C2314yes—
269C2×C22⋊Q8C2314yes—
270C2×C22⋊Q8C2314yes—
271C2×C22⋊Q8C2314yes—
272C2×C22⋊Q8C2314yes—
273C2×C22⋊Q8C2314yes—
274C2×#121—44no—
275C2×#121C2312yes—
276C2×#121C2312yes—
277C2×#121C2314yes—
278C2×#121C2314yes—
279C2×#121C2314yes—
280C2×#121C2314yes—
281C2×#120C2312yes—
282C2×#120C2312yes—
283C2×#120C2312yes—
284C2×#120C2312yes—
285#518—44no—
286#518—44no—
287#518—44no—
288C2×C4×D4C2314yes—
289C2×C4×D4C2314yes—
290C2×C4×D4C2312yes—
291C2×C4×D4C2312yes—
292C2×C4×D4C2314yes—
293C2×C4×D4C2314yes—
294C2×C4×D4C2312yes—
295C2×C4×D4C2312yes—
296C2×#117C2312yes—
297C2×#117C2312yes—
298C2×#117C2312yes—
299C22×C4⋊C4—44no—
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2312yes—
304C22×C4⋊C4C2312yes—
305C22×C4⋊C4C2312yes—
306C22×C4⋊C4C2312yes—
307C22×C4⋊C4C2312yes—
308C22×C4⋊C4C2312yes—
309C22×C4⋊C4C2312yes—
310C22×C4⋊C4C2312yes—
311C22×C4⋊C4C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2312yes—
315C22×C4⋊C4C2312yes—
316C22×C4⋊C4C2312yes—
317C22×C4⋊C4C2312yes—
318C22×C4⋊C4C2312yes—
319C22×C4⋊C4C2312yes—
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2312yes—
330C22×C22⋊C4C2312yes—
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2312yes—
336C22×C22⋊C4C2312yes—
337C22×C22⋊C4C2312yes—
338C22×C22⋊C4C2312yes—
339C22×C22⋊C4C2312yes—
340C22×C22⋊C4C2312yes—
341C22×C22⋊C4C2312yes—
342#400C2314yes—
343#400C2314yes—
344#400C2314yes—
345#400C2314yes—
346#400C2314yes—
347#400C2314yes—
348#400C2314yes—
349#400C2314yes—
350#400C2314yes—
351#400C2314yes—
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#399C2314yes—
368#399C2314yes—
369#399C2314yes—
370#399C2314yes—
371#399C2314yes—
372#399C2314yes—
373#399C2314yes—
374#399C2314yes—
375#399C2314yes—
376#398C2314yes—
377#398C2314yes—
378#398C2314yes—
379#398C2314yes—
380#398C2314yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#392C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#390C2314yes—
493#390C2314yes—
494#389C2314yes—
495#389C2314yes—
496#389C2314yes—
497#389C2314yes—
498#389C2314yes—
499#389C2314yes—
500#389C2314yes—
501#389C2314yes—
502#389C2314yes—
503#389C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#387C2314yes—
523#387C2314yes—
524#387C2314yes—
525#387C2314yes—
526#387C2314yes—
527#387C2314yes—
528#387C2314yes—
529#387C2314yes—
530#387C2314yes—
531#387C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2314yes—
535#387C2314yes—
536#387C2314yes—
537#387C2314yes—
538#387C2314yes—
539#387C2314yes—
540#386C2312yes—
541#386C2312yes—
542#386C2312yes—
543#386C2312yes—
544#386C2312yes—
545#386C2314yes—
546#386C2312yes—
547#386C2314yes—
548#386C2312yes—
549#386C2312yes—
550#386C2314yes—
551#386C2314yes—
552#386C2314yes—
553#386C2314yes—
554#386C2314yes—
555#386C2314yes—
556#386C2314yes—
557#386C2314yes—
558#386C2314yes—
559#386C2314yes—
560#386C2314yes—
561#386C2314yes—
562#386C2314yes—
563#386C2314yes—
564#386C2312yes—
565#386C2312yes—
566#386C2312yes—
567#386C2312yes—
568#386C2312yes—
569#386C2312yes—
570#386C2314yes—
571#386C2312yes—
572#386C2312yes—
573#386C2314yes—
574#385C2314yes—
575#385C2314yes—
576#385C2314yes—
577#385C2314yes—
578#385C2314yes—
579#385C2312yes—
580#385C2314yes—
581#385C2312yes—
582#385C2312yes—
583#385C2314yes—
584#385C2312yes—
585#385C2314yes—
586#385C2314yes—
587#385C2314yes—
588#385C2314yes—
589#385C2314yes—
590#385C2314yes—
591#385C2314yes—
592#385C2314yes—
593#385C2314yes—
594#385C2314yes—
595#385C2312yes—
596#385C2312yes—
597#385C2312yes—
598#385C2314yes—
599#385C2312yes—
600#385C2314yes—
601#385C2312yes—
602#385C2312yes—
603#385C2312yes—
604#385C2314yes—
605#385C2312yes—
606#382C2314yes—
607#382C2314yes—
608#382C2314yes—
609#382C2314yes—
610#381C2314yes—
611#381C2314yes—
612#381C2314yes—
613#381C2312yes—
614#381C2312yes—
615#381C2312yes—
616#381C2312yes—
617#381C2312yes—
618#381C2314yes—
619#381C2314yes—
620#381C2314yes—
621#381C2314yes—
622#381C2314yes—
623#381C2312yes—
624#381C2312yes—
625#381C2312yes—
626#381C2312yes—
627#380C2312yes—
628#380C2312yes—
629#380C2314yes—
630#380C2314yes—
631#380C2314yes—
632#380C2314yes—
633#380C2312yes—
634#380C2312yes—
635#380C2314yes—
636#380C2314yes—
637#380C2314yes—
638#380C2314yes—
639#380C2314yes—
640#380C2314yes—
641#380C2314yes—
642#380C2314yes—
643#380C2314yes—
644#380C2314yes—
645#379C2312yes—
646#379C2312yes—
647#379C2312yes—
648#379C2312yes—
649#379C2312yes—
650C4×C22⋊C4C2314yes—
651C4×C22⋊C4C2314yes—
652C4×C22⋊C4C2312yes—
653C4×C22⋊C4C2312yes—
654C2×#95C2312yes—
655C2×#95C2312yes—
656C2×#95C2312yes—
657C2×#95C2312yes—
658C2×#95C2312yes—
659C2×#95C2312yes—
660C2×#95C2312yes—
661C2×#95C2312yes—
662C2×#95C2312yes—
663C2×#95C2312yes—
664C2×#95C2312yes—
665C2×#95C2312yes—
666C2×#95C2312yes—
667C2×#95C2312yes—
668C2×#95C2312yes—
669C2×#95C2312yes—
670C25C2411yescharacteristic
671C25C2411yescharacteristic
672C25C2411yescharacteristic
673C25C2411yescharacteristic
674C22×Q8—42no—
675C22×Q8—82no—
676C22×Q8C2414yes—
677C22×Q8C2414yes—
678C22×D4—24no—
679C22×D4—24no—
680C22×D4—24no—
681C22×D4—24no—
682C22×D4—24no—
683C22×D4—24no—
684C22×D4—24no—
685C22×D4—24no—
686C22×D4—24no—
687C22×D4—42no—
688C22×D4—82no—
689C22×D4C2412yes—
690C22×D4C2412yes—
691C22×D4C2412yes—
692C22×D4C2412yes—
693C22×D4C2412yes—
694C22×D4C2412yes—
695C22×D4C2412yes—
696C22×D4C2414yes—
697C22×D4C2412yes—
698C22×D4C2414yes—
699C23×C4—24no—
700C23×C4—24no—
701C23×C4—24no—
702C23×C4—24no—
703C23×C4—24no—
704C23×C4—82no—
705C23×C4—82no—
706C23×C4C2412yes—
707C23×C4C2411yescharacteristic
708C23×C4C2411yescharacteristic
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C23×C4C2412yes—
713C23×C4C2412yes—
714C23×C4C2412yes—
715C23×C4C2411yescharacteristic
716C23×C4C2411yescharacteristic
717C23×C4C2412yes—
718C23×C4C2412yes—
719C23×C4C2411yescharacteristic
720C23×C4C2412yes—
721C23×C4C2411yescharacteristic
722C23×C4C2412yes—
723C23×C4C2411yescharacteristic
724C23×C4C2412yes—
725C23×C4C2412yes—
726C23×C4C2412yes—
727C23×C4C2411yescharacteristic
728C23×C4C2411yescharacteristic
729C23×C4C2411yescharacteristic
730C23×C4C2412yes—
731C23×C4C2411yescharacteristic
732C23×C4C2411yescharacteristic
733C23×C4C2414yes—
734C23×C4C2412yes—
735C23×C4C2414yes—
736C23×C4C2412yes—
737#125—84no—
738#124—84no—
739#123—48no—
740#123—44no—
741#123—44no—
742#123—48no—
743#123—48no—
744#123—44no—
745#123—44no—
746#123—48no—
747#123—44no—
748#123—44no—
749#123—44no—
750#123—44no—
751#123—84no—
752#123—84no—
753C22⋊Q8—48no—
754C22⋊Q8—48no—
755C22⋊Q8—48no—
756C22⋊Q8—48no—
757C22⋊Q8—48no—
758C22⋊Q8—84no—
759C22⋊Q8—84no—
760C22⋊Q8—84no—
761#121—48no—
762#121—48no—
763#121—44no—
764#121—44no—
765#121—48no—
766#121—84no—
767#120—44no—
768#120—44no—
769#120—44no—
770#120—44no—
771C4×D4—48no—
772C4×D4—48no—
773C4×D4—44no—
774C4×D4—44no—
775C4×D4—48no—
776C4×D4—44no—
777C4×D4—44no—
778C4×D4—48no—
779#117—44no—
780#117—44no—
781#117—44no—
782C2×C4⋊C4—44no—
783C2×C4⋊C4—44no—
784C2×C4⋊C4—44no—
785C2×C4⋊C4—44no—
786C2×C4⋊C4—44no—
787C2×C4⋊C4—44no—
788C2×C4⋊C4—42no—
789C2×C4⋊C4—42no—
790C2×C4⋊C4—42no—
791C2×C4⋊C4—42no—
792C2×C4⋊C4—44no—
793C2×C4⋊C4—44no—
794C2×C4⋊C4—42no—
795C2×C4⋊C4—42no—
796C2×C4⋊C4—82no—
797C2×C4⋊C4—82no—
798C2×C4⋊C4—82no—
799C2×C4⋊C4—82no—
800C2×C4⋊C4—82no—
801C2×C4⋊C4—82no—
802C2×C4⋊C4C2412yes—
803C2×C4⋊C4C2412yes—
804C2×C4⋊C4C2412yes—
805C2×C4⋊C4C2412yes—
806C2×C4⋊C4C2412yes—
807C2×C4⋊C4C2412yes—
808C2×C4⋊C4C2412yes—
809C2×C4⋊C4C2412yes—
810C2×C4⋊C4C2414yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2414yes—
813C2×C4⋊C4C2414yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2414yes—
823C2×C4⋊C4C2414yes—
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2414yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2414yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2414yes—
833C2×C4⋊C4C2412yes—
834C2×C4⋊C4C2414yes—
835C2×C4⋊C4C2412yes—
836C2×C4⋊C4C2414yes—
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C22⋊C4—24no—
851C2×C22⋊C4—24no—
852C2×C22⋊C4—24no—
853C2×C22⋊C4—24no—
854C2×C22⋊C4—24no—
855C2×C22⋊C4—24no—
856C2×C22⋊C4—24no—
857C2×C22⋊C4—24no—
858C2×C22⋊C4—24no—
859C2×C22⋊C4—44no—
860C2×C22⋊C4—44no—
861C2×C22⋊C4—44no—
862C2×C22⋊C4—42no—
863C2×C22⋊C4—42no—
864C2×C22⋊C4—44no—
865C2×C22⋊C4—44no—
866C2×C22⋊C4—42no—
867C2×C22⋊C4—42no—
868C2×C22⋊C4—82no—
869C2×C22⋊C4—82no—
870C2×C22⋊C4—82no—
871C2×C22⋊C4—82no—
872C2×C22⋊C4C2412yes—
873C2×C22⋊C4C2412yes—
874C2×C22⋊C4C2412yes—
875C2×C22⋊C4C2412yes—
876C2×C22⋊C4C2412yes—
877C2×C22⋊C4C2412yes—
878C2×C22⋊C4C2412yes—
879C2×C22⋊C4C2412yes—
880C2×C22⋊C4C2412yes—
881C2×C22⋊C4C2412yes—
882C2×C22⋊C4C2412yes—
883C2×C22⋊C4C2412yes—
884C2×C22⋊C4C2412yes—
885C2×C22⋊C4C2412yes—
886C2×C22⋊C4C2412yes—
887C2×C22⋊C4C2412yes—
888C2×C22⋊C4C2412yes—
889C2×C22⋊C4C2412yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2412yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C42C2414yes—
927C2×C42C2412yes—
928C2×C42C2414yes—
929C2×C42C2412yes—
930C2×C42C2414yes—
931C2×C42C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2414yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939#95C2414yes—
940#95C2414yes—
941#95C2414yes—
942#95C2414yes—
943#95C2414yes—
944#95C2414yes—
945#95C2414yes—
946#95C2414yes—
947#95C2414yes—
948#95C2414yes—
949#95C2414yes—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2414yes—
981#95C2414yes—
982#95C2414yes—
983#95C2414yes—
984C24—22no—
985C24—22no—
986C24—22no—
987C24—22no—
988C24—22no—
989C24—22no—
990C24—22no—
991C24—22no—
992C24—22no—
993C24—42no—
994C24—42no—
995C24—42no—
996C24—42no—
997C24—42no—
998C24—42no—
999C24—42no—
1000C24—42no—
1001C24H(5,𝔽2)14yes—
1002C24H(5,𝔽2)14yes—
1003C242−1+414yes—
1004C24C2512yes—
1005C24C2512yes—
1006C24C2512yes—
1007C24C2511yescharacteristic
1008C24C2511yescharacteristic
1009C24C2511yescharacteristic
1010C2×Q8—44no—
1011C2×Q8—44no—
1012C2×Q8—44no—
1013C2×Q8—44no—
1014C2×Q8—44no—
1015C2×Q8—44no—
1016C2×Q8—88no—
1017C2×D4—24no—
1018C2×D4—24no—
1019C2×D4—24no—
1020C2×D4—24no—
1021C2×D4—24no—
1022C2×D4—24no—
1023C2×D4—24no—
1024C2×D4—24no—
1025C2×D4—24no—
1026C2×D4—24no—
1027C2×D4—24no—
1028C2×D4—24no—
1029C2×D4—24no—
1030C2×D4—24no—
1031C2×D4—24no—
1032C2×D4—24no—
1033C2×D4—24no—
1034C2×D4—24no—
1035C2×D4—44no—
1036C2×D4—44no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—42no—
1040C2×D4—42no—
1041C2×D4—44no—
1042C2×D4—44no—
1043C2×D4—44no—
1044C2×D4—44no—
1045C2×D4—416no—
1046C2×D4—416no—
1047C2×D4—416no—
1048C2×D4—88no—
1049C22×C4—22no—
1050C22×C4—24no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—22no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—22no—
1059C22×C4—24no—
1060C22×C4—24no—
1061C22×C4—22no—
1062C22×C4—22no—
1063C22×C4—22no—
1064C22×C4—22no—
1065C22×C4—22no—
1066C22×C4—24no—
1067C22×C4—24no—
1068C22×C4—24no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—24no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—24no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—24no—
1083C22×C4—24no—
1084C22×C4—24no—
1085C22×C4—24no—
1086C22×C4—24no—
1087C22×C4—24no—
1088C22×C4—24no—
1089C22×C4—24no—
1090C22×C4—42no—
1091C22×C4—42no—
1092C22×C4—42no—
1093C22×C4—42no—
1094C22×C4—42no—
1095C22×C4—42no—
1096C22×C4—42no—
1097C22×C4—42no—
1098C22×C4—42no—
1099C22×C4—42no—
1100C22×C4—42no—
1101C22×C4—42no—
1102C22×C4—42no—
1103C22×C4—42no—
1104C22×C4—42no—
1105C22×C4—42no—
1106C22×C4—42no—
1107C22×C4—42no—
1108C22×C4—42no—
1109C22×C4—42no—
1110C22×C4—42no—
1111C22×C4—42no—
1112C22×C4—42no—
1113C22×C4—42no—
1114C22×C4—42no—
1115C22×C4—42no—
1116C22×C4—42no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4—42no—
1120C22×C4—42no—
1121C22×C4—44no—
1122C22×C4—42no—
1123C22×C4—44no—
1124C22×C4—44no—
1125C22×C4—44no—
1126C22×C4—44no—
1127C22×C4—44no—
1128C22×C4—44no—
1129C22×C4—44no—
1130C22×C4—416no—
1131C22×C4—88no—
1132C22×C4—88no—
1133C22×C4C2514yes—
1134C22×C4C2512yes—
1135C22×C4C2512yes—
1136C22×C4C2512yes—
1137C22×C4C2512yes—
1138C22×C4C2512yes—
1139C22×C4C2512yes—
1140C22×C4C2514yes—
1141C22×C4C2514yes—
1142C22×C4C2514yes—
1143C22×C4C2512yes—
1144C22×C4C2512yes—
1145C22×C4C2512yes—
1146C22×C4C2512yes—
1147C22×C4C2514yes—
1148C22×C4C2512yes—
1149C22×C4C2514yes—
1150C22×C4C2512yes—
1151C22×C4C2512yes—
1152C22×C4C2512yes—
1153C22×C4C2512yes—
1154C4⋊C4—42no—
1155C4⋊C4—42no—
1156C4⋊C4—42no—
1157C4⋊C4—42no—
1158C4⋊C4—42no—
1159C4⋊C4—42no—
1160C4⋊C4—42no—
1161C4⋊C4—42no—
1162C4⋊C4—44no—
1163C4⋊C4—44no—
1164C4⋊C4—44no—
1165C4⋊C4—44no—
1166C4⋊C4—44no—
1167C4⋊C4—44no—
1168C4⋊C4—44no—
1169C4⋊C4—44no—
1170C4⋊C4—44no—
1171C4⋊C4—44no—
1172C4⋊C4—44no—
1173C4⋊C4—44no—
1174C4⋊C4—44no—
1175C4⋊C4—44no—
1176C4⋊C4—44no—
1177C4⋊C4—44no—
1178C4⋊C4—44no—
1179C4⋊C4—44no—
1180C4⋊C4—44no—
1181C4⋊C4—44no—
1182C4⋊C4—44no—
1183C4⋊C4—44no—
1184C4⋊C4—44no—
1185C4⋊C4—44no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—42no—
1189C4⋊C4—44no—
1190C4⋊C4—42no—
1191C4⋊C4—44no—
1192C4⋊C4—44no—
1193C4⋊C4—42no—
1194C4⋊C4—42no—
1195C4⋊C4—44no—
1196C4⋊C4—44no—
1197C4⋊C4—44no—
1198C4⋊C4—44no—
1199C4⋊C4—44no—
1200C4⋊C4—44no—
1201C4⋊C4—44no—
1202C22⋊C4—24no—
1203C22⋊C4—24no—
1204C22⋊C4—24no—
1205C22⋊C4—24no—
1206C22⋊C4—24no—
1207C22⋊C4—24no—
1208C22⋊C4—24no—
1209C22⋊C4—24no—
1210C22⋊C4—24no—
1211C22⋊C4—24no—
1212C22⋊C4—24no—
1213C22⋊C4—24no—
1214C22⋊C4—24no—
1215C22⋊C4—24no—
1216C22⋊C4—24no—
1217C22⋊C4—24no—
1218C22⋊C4—24no—
1219C22⋊C4—24no—
1220C22⋊C4—42no—
1221C22⋊C4—44no—
1222C22⋊C4—42no—
1223C22⋊C4—44no—
1224C22⋊C4—44no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4—44no—
1228C22⋊C4—44no—
1229C22⋊C4—44no—
1230C22⋊C4—44no—
1231C22⋊C4—44no—
1232C22⋊C4—44no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—44no—
1236C22⋊C4—44no—
1237C22⋊C4—44no—
1238C22⋊C4—44no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—44no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C22⋊C4—44no—
1247C22⋊C4—42no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—42no—
1251C22⋊C4—44no—
1252C22⋊C4—44no—
1253C22⋊C4—44no—
1254C22⋊C4—44no—
1255C22⋊C4—44no—
1256C42—44no—
1257C42—42no—
1258C42—44no—
1259C42—42no—
1260C42—44no—
1261C42—44no—
1262C23—22no—
1263C23—22no—
1264C23—22no—
1265C23—22no—
1266C23—22no—
1267C23—22no—
1268C23—22no—
1269C23—22no—
1270C23—22no—
1271C23—22no—
1272C23—22no—
1273C23—22no—
1274C23—22no—
1275C23—22no—
1276C23—22no—
1277C23—24no—
1278C23—24no—
1279C23—24no—
1280C23—24no—
1281C23—24no—
1282C23—24no—
1283C23—44no—
1284C23—48no—
1285C23—44no—
1286C23—48no—
1287C23—44no—
1288C23—44no—
1289C23—44no—
1290C23—82no—
1291C23—82no—
1292C23—82no—
1293C23—84no—
1294C23—84no—
1295C23—84no—
1296C23—84no—
1297C23—84no—
1298C23—84no—
1299C23—82no—
1300C23—82no—
1301C23—82no—
1302C23#562116yes—
1303C23C2×H(5,𝔽2)12yes—
1304C23C2×H(5,𝔽2)12yes—
1305C23C2×H(5,𝔽2)12yes—
1306C23C2×H(5,𝔽2)12yes—
1307C23C2×H(5,𝔽2)12yes—
1308C23C2×H(5,𝔽2)12yes—
1309C23C2×2−1+412yes—
1310C23C2×2−1+412yes—
1311C23C2×2−1+412yes—
1312C23C2611yescharacteristic
1313Q8—88no—
1314Q8—164no—
1315D4—48no—
1316D4—48no—
1317D4—48no—
1318D4—48no—
1319D4—48no—
1320D4—48no—
1321D4—88no—
1322D4—162no—
1323D4—164no—
1324D4—162no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—24no—
1330C2×C4—22no—
1331C2×C4—24no—
1332C2×C4—22no—
1333C2×C4—24no—
1334C2×C4—24no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—24no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—24no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—24no—
1357C2×C4—24no—
1358C2×C4—24no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—24no—
1362C2×C4—24no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—24no—
1366C2×C4—24no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—24no—
1370C2×C4—22no—
1371C2×C4—24no—
1372C2×C4—22no—
1373C2×C4—24no—
1374C2×C4—24no—
1375C2×C4—24no—
1376C2×C4—24no—
1377C2×C4—24no—
1378C2×C4—24no—
1379C2×C4—24no—
1380C2×C4—24no—
1381C2×C4—24no—
1382C2×C4—44no—
1383C2×C4—44no—
1384C2×C4—44no—
1385C2×C4—44no—
1386C2×C4—48no—
1387C2×C4—44no—
1388C2×C4—44no—
1389C2×C4—48no—
1390C2×C4—44no—
1391C2×C4—44no—
1392C2×C4—44no—
1393C2×C4—82no—
1394C2×C4—84no—
1395C2×C4—84no—
1396C2×C4—84no—
1397C2×C4—84no—
1398C2×C4—84no—
1399C2×C4—84no—
1400C2×C4—82no—
1401C2×C4—82no—
1402C2×C4—82no—
1403C2×C4—84no—
1404C2×C4—84no—
1405C2×C4—84no—
1406C2×C4—84no—
1407C2×C4—82no—
1408C2×C4—82no—
1409C2×C4—162no—
1410C2×C4—164no—
1411C2×C4—164no—
1412C2×C4—162no—
1413C22—22no—
1414C22—22no—
1415C22—22no—
1416C22—24no—
1417C22—24no—
1418C22—24no—
1419C22—24no—
1420C22—24no—
1421C22—24no—
1422C22—22no—
1423C22—22no—
1424C22—22no—
1425C22—416no—
1426C22—42no—
1427C22—42no—
1428C22—42no—
1429C22—44no—
1430C22—44no—
1431C22—44no—
1432C22—44no—
1433C22—44no—
1434C22—44no—
1435C22—42no—
1436C22—42no—
1437C22—42no—
1438C22—42no—
1439C22—42no—
1440C22—42no—
1441C22—164no—
1442C22—164no—
1443C22—164no—
1444C22C2×#56214yes—
1445C22C2×#56214yes—
1446C22C2×#56214yes—
1447C22C22×H(5,𝔽2)11yescharacteristic
1448C22C22×H(5,𝔽2)11yescharacteristic
1449C22C22×2−1+411yescharacteristic
1450C22H(7,𝔽2)12yes—
1451C222−1+612yes—
1452C4—42no—
1453C4—42no—
1454C4—42no—
1455C4—42no—
1456C4—42no—
1457C4—42no—
1458C4—42no—
1459C4—44no—
1460C4—44no—
1461C4—44no—
1462C4—44no—
1463C4—44no—
1464C4—44no—
1465C4—42no—
1466C4—42no—
1467C4—42no—
1468C4—42no—
1469C4—42no—
1470C4—42no—
1471C4—42no—
1472C4—42no—
1473C2—24no—
1474C2—24no—
1475C2—24no—
1476C2—82no—
1477C2—82no—
1478C2—82no—
1479C2C22×#56211yescharacteristic
1480C2#6286211yescharacteristic
1481C2#6286512yes—
1482C2#6286612yes—
1483C2#6287111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35358C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #52800C2semidirect
2. #52722C2semidirect
3. #52720C2semidirect
4. #52585C2semidirect
5. #52550C2semidirect
6. #52547C2semidirect
7. #52376C2semidirect
8. #52374C2semidirect
9. #52350C2semidirect
10. #52348C2semidirect
11. #52321C2semidirect
12. #52319C2semidirect
13. #35455C2semidirect
14. #35448C2semidirect
15. #35447C2semidirect
16. #35447C2semidirect
17. #35377C2semidirect
18. #35368C2semidirect
19. #35360C2semidirect
20. #35359C2semidirect
21. #35359C2semidirect
23. #35351C2semidirect
24. #35349C2semidirect
25. C2×#2623C2semidirect
26. C2×#2627C2semidirect
27. C2×#2618C2semidirect
40. #2845C22semidirect
41. #2841C22semidirect
42. #2841C22semidirect
43. #2841C22semidirect
44. #2839C22semidirect
45. #2839C22semidirect
46. #2839C22semidirect
47. #2837C22semidirect
48. #2837C22semidirect
49. #2837C22semidirect
50. #2836C22semidirect
51. #2836C22semidirect
52. #2836C22semidirect
53. #2836C22semidirect
54. #2832C22semidirect
55. #2831C22semidirect
56. #2831C22semidirect
57. #2831C22semidirect
58. #2831C22semidirect
59. #2831C22semidirect
60. #2830C22semidirect
61. #2829C22semidirect
62. #2827C22semidirect
63. #2827C22semidirect
64. #2827C22semidirect
65. #2827C22semidirect
66. #2826C22semidirect
67. #2824C22semidirect
68. #2820C22semidirect
69. #2816C22semidirect
70. #2814C22semidirect
71. #2814C22semidirect
72. #2806C22semidirect
73. #2802C22semidirect
74. #2788C22semidirect
75. #2783C22semidirect
76. #2781C22semidirect
77. #2772C22semidirect
78. #2768C22semidirect
79. #2768C22semidirect
80. #2761C22semidirect
81. #2755C22semidirect
82. #2755C22semidirect
83. #2754C22semidirect
84. #2750C22semidirect
85. #2750C22semidirect
86. #2747C22semidirect
87. #2744C22semidirect
88. #2744C22semidirect
89. #2743C22semidirect
90. #2741C22semidirect
91. #2740C22semidirect
92. #2739C22semidirect
93. #2732C22semidirect
94. #2708C22semidirect
95. #2706C22semidirect
96. #2704C22semidirect
97. #2704C22semidirect
98. #2700C22semidirect
99. #2694C22semidirect
100. #2692C22semidirect
101. #2687C22semidirect
102. #2686C22semidirect
103. #2672C22semidirect
104. #2627C22semidirect
105. #2627C22semidirect
106. #2627C22semidirect
107. #2627C22semidirect
110. #2623C22semidirect
111. #2623C22semidirect
114. #2618C22semidirect
115. #2618C22semidirect
116. #2591C22semidirect
117. #2591C22semidirect
118. #2579C22semidirect
119. #2579C22semidirect
120. #2569C22semidirect
121. #2564C22semidirect
122. #2564C22semidirect
123. #2561C22semidirect
126. #2534C22semidirect
127. #2534C22semidirect
128. #2505C22semidirect
129. #2505C22semidirect
130. #2504C22semidirect
131. #2503C22semidirect
132. #2498C22semidirect
134. #2488C22semidirect
135. #2488C22semidirect
136. #2488C22semidirect
137. #2488C22semidirect
138. #2488C22semidirect
139. #2487C22semidirect
141. #2486C22semidirect
142. #2486C22semidirect
143. #2484C22semidirect
144. #2484C22semidirect
145. #2483C22semidirect
146. #2483C22semidirect
147. #2482C22semidirect
148. #2473C22semidirect
149. #2473C22semidirect
151. #2472C22semidirect
153. #2450C22semidirect
154. #2450C22semidirect
156. #2449C22semidirect
157. #2449C22semidirect
159. #2444C22semidirect
160. #2444C22semidirect
162. #2443C22semidirect
163. #2443C22semidirect
164. #2442C22semidirect
165. #2438C22semidirect
166. #2438C22semidirect
167. #2438C22semidirect
168. #2437C22semidirect
169. #2437C22semidirect
170. #2437C22semidirect
171. #2436C22semidirect
173. #2425C22semidirect
174. #2425C22semidirect
175. #2425C22semidirect
176. #2425C22semidirect
179. #2419C22semidirect
180. #2419C22semidirect
181. #2419C22semidirect
182. #2419C22semidirect
184. #2417C22semidirect
185. #2417C22semidirect
189. #2413C22semidirect
190. #2413C22semidirect
193. #2412C22semidirect
194. #2412C22semidirect
195. #2412C22semidirect
198. #2409C22semidirect
199. #2405C22semidirect
200. C2×#400C22semidirect
201. C2×#400C22semidirect
202. C2×#399C22semidirect
203. C2×#398C22semidirect
204. C2×#398C22semidirect
205. C2×#398C22semidirect
206. C2×#398C22semidirect
207. C2×#397C22semidirect
208. C2×#396C22semidirect
209. C2×#396C22semidirect
210. C2×#395C22semidirect
211. C2×#394C22semidirect

Maximal subgroups

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

subgroupindex
#528002
#527222
#527202
#525852
#525502
#525472
#523762
#523742
#523502
#523482
#523212
#523192
#354552
#354482
#354472
#353772
#353682
#353602
#353592
#353582
#353512
#353492
C2×#26232
C2×#26272
C2×#26182