Finite Group Databasebeta

← #8097225

Subgroups — #8097225

Order 512.

5771 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53098C213yesmaximal, complemented
2#53088C213yesmaximal, complemented
3#53073C213yesmaximal, complemented
4#53053C213yesmaximal, complemented
5#53000C213yesmaximal, complemented
6#52971C213yesmaximal, complemented
7#52292C213yesmaximal, complemented
8#45708C213yesmaximal, complemented
9#45701C213yesmaximal, complemented
10#45655C213yesmaximal, complemented
11#45623C213yesmaximal, complemented
12#45604C213yesmaximal, complemented
13#45599C213yesmaximal, complemented
14#45593C213yesmaximal, complemented
15#45593C213yesmaximal, complemented
16#45508C213yesmaximal, complemented
17#36578C211yesmaximal, characteristic, complemented
18#36576C211yesmaximal, characteristic, complemented
19#36434C211yesmaximal, characteristic, complemented
20#36433C211yesmaximal, characteristic, complemented
21#36430C211yesmaximal, characteristic, complemented
22#36430C211yesmaximal, characteristic, complemented
23#36429C211yesmaximal, characteristic, complemented
24#36429C211yesmaximal, characteristic, complemented
25#36428C211yesmaximal, characteristic, complemented
26#36076C211yesmaximal, characteristic, complemented
27#36066C211yesmaximal, characteristic, complemented
28#36059C211yesmaximal, characteristic, complemented
29#36029C211yesmaximal, characteristic, complemented
30#35883C211yesmaximal, characteristic, complemented
31#35737C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C2×#550C2211yescharacteristic
34C2×#550C2211yescharacteristic
35C2×#550C2211yescharacteristic
36C2×#550C2211yescharacteristic
37C2×#550C2211yescharacteristic, complemented
38C2×D4×Q8C2211yescharacteristic
39C2×#548C2211yescharacteristic
40C2×#548C2211yescharacteristic
41C2×#548C2211yescharacteristic
42C2×#548C2211yescharacteristic
43C2×#548C2211yescharacteristic, complemented
44C2×#548C2211yescharacteristic, complemented
45C2×#520C2211yescharacteristic, complemented
46C2×C4×#41C2211yescharacteristic, complemented
47C22×C4×Q8C2211yescharacteristic, complemented
48#2856C2213yescomplemented
49#2854C2213yescomplemented
50#2854C2213yescomplemented
51#2850C2213yescomplemented
52#2850C2213yescomplemented
53#2850C2213yescomplemented
54#2848C2213yes—
55#2847C2213yes—
56#2847C2213yes—
57#2837C2216yescomplemented
58#2829C2216yescomplemented
59#2828C2216yescomplemented
60#2828C2216yescomplemented
61#2827C2216yescomplemented
62#2826C2216yescomplemented
63#2825C2216yescomplemented
64#2825C2216yescomplemented
65#2825C2216yescomplemented
66#2813C2216yescomplemented
67#2812C2216yes—
68#2807C2213yescomplemented
69#2803C2216yescomplemented
70#2797C2216yescomplemented
71#2796C2213yes—
72#2796C2213yescomplemented
73#2780C2213yes—
74#2780C2213yescomplemented
75#2778C2213yescomplemented
76#2778C2216yescomplemented
77#2778C2213yescomplemented
78#2757C2216yescomplemented
79#2757C2216yescomplemented
80#2756C2216yescomplemented
81#2756C2216yescomplemented
82#2749C2216yes—
83#2749C2216yescomplemented
84#2746C2211yescharacteristic
85#2746C2213yescomplemented
86#2746C2216yescomplemented
87#2735C2213yes—
88#2703C2216yescomplemented
89#2703C2216yescomplemented
90#2703C2216yescomplemented
91#2697C2216yes—
92#2693C2213yescomplemented
93#2693C2216yescomplemented
94#2688C2213yes—
95#2688C2216yescomplemented
96#2688C2213yescomplemented
97#2678C2213yes—
98#2678C2216yes—
99#2678C2213yes—
100#2673C2216yescomplemented
101#2673C2216yescomplemented
102#2669C2216yes—
103#2668C2216yes—
104#2668C2213yes—
105#2657C2213yescomplemented
106#2645C2213yescomplemented
107#2644C2213yescomplemented
108#2624C2213yescomplemented
109#2621C2213yescomplemented
110#2619C2213yescomplemented
111#2548C2213yescomplemented
112#2547C2213yescomplemented
113#2545C2213yescomplemented
114#2544C2213yescomplemented
115#2544C2213yescomplemented
116#2541C2213yescomplemented
117#2541C2213yescomplemented
118#2541C2213yescomplemented
119#2541C2213yescomplemented
120#2540C2213yescomplemented
121#2540C2213yescomplemented
122#2540C2213yescomplemented
123#2538C2213yescomplemented
124#2536C2213yes—
125#2535C2213yes—
126#2535C2213yes—
127#2535C2213yescomplemented
128#2535C2213yescomplemented
129#2514C2213yescomplemented
130#2514C2213yescomplemented
131#2513C2213yescomplemented
132#2513C2213yescomplemented
133#2513C2213yescomplemented
134#2511C2213yescomplemented
135#2504C2213yescomplemented
136#2504C2213yescomplemented
137#2500C2213yescomplemented
138#2497C2213yes—
139#2495C2213yes—
140#2495C2213yescomplemented
141#2495C2213yescomplemented
142#2495C2213yescomplemented
143#2494C2213yes—
144#2487C2213yescomplemented
145#2486C2213yescomplemented
146#2485C2213yescomplemented
147#2448C2213yescomplemented
148#2448C2213yescomplemented
149#2445C2213yescomplemented
150#2445C2213yescomplemented
151#2445C2213yescomplemented
152#2445C2213yescomplemented
153#2435C2213yes—
154#2433C2213yes—
155#2433C2213yes—
156#2432C2213yes—
157#2432C2213yes—
158#2431C2213yes—
159#2431C2213yes—
160#2431C2213yes—
161#2431C2213yes—
162#2429C2213yescomplemented
163#2428C2213yes—
164#2428C2213yescomplemented
165#2428C2213yescomplemented
166#2428C2213yescomplemented
167#2427C2213yes—
168#2427C2213yescomplemented
169#2427C2213yescomplemented
170#2427C2213yescomplemented
171#2426C2213yes—
172#2426C2213yescomplemented
173#2426C2213yescomplemented
174#2422C2213yescomplemented
175#2421C2213yescomplemented
176#2421C2213yescomplemented
177#2420C2213yescomplemented
178#2420C2213yescomplemented
179#2420C2213yescomplemented
180#2417C2213yes—
181#2417C2213yescomplemented
182#2417C2213yescomplemented
183#2416C2213yes—
184#2416C2213yescomplemented
185#2416C2213yescomplemented
186#2416C2213yescomplemented
187#2416C2213yescomplemented
188#2415C2213yescomplemented
189#2415C2213yescomplemented
190#2414C2213yes—
191#2414C2213yescomplemented
192#2408C2213yes—
193#2408C2213yes—
194#2408C2213yes—
195#2407C2213yes—
196#2407C2213yes—
197#2407C2213yes—
198#2407C2213yes—
199#2407C2213yes—
200#2407C2213yes—
201#2401C2213yes—
202#2401C2213yescomplemented
203#2397C2213yescomplemented
204#2395C2213yescomplemented
205#2392C2213yes—
206#2392C2213yescomplemented
207#2380C2216yescomplemented
208#2377C2216yescomplemented
209#2375C2216yes—
210#2351C2211yescharacteristic, complemented
211#2351C2211yescharacteristic, complemented
212#2351C2211yescharacteristic, complemented
213#2351C2211yescharacteristic, complemented
214#2351C2211yescharacteristic, complemented
215Q8×C4⋊C4C2211yescharacteristic, complemented
216#2341C2211yescharacteristic
217#2341C2211yescharacteristic
218#2341C2211yescharacteristic
219#2341C2211yescharacteristic
220#2341C2211yescharacteristic
221#2341C2211yescharacteristic
222#2341C2211yescharacteristic, complemented
223#2341C2211yescharacteristic, complemented
224Q8×C22⋊C4C2211yescharacteristic
225Q8×C22⋊C4C2211yescharacteristic
226Q8×C22⋊C4C2211yescharacteristic
227Q8×C22⋊C4C2211yescharacteristic, complemented
228C4×#123C2213yescomplemented
229C4×#123C2213yescomplemented
230C4×#121C2213yes—
231C4×#121C2213yes—
232C4×#121C2213yescomplemented
233C4×#121C2213yescomplemented
234C4×#120C2213yes—
235C4×#120C2213yes—
236C4×#120C2213yes—
237#2276C2211yescharacteristic, complemented
238C22×#41—44no—
239C22×#41—44no—
240C22×#41—44no—
241C22×#41C2311yescharacteristic
242C22×#41C2311yescharacteristic
243C22×#41C2311yescharacteristic
244C22×#41C2311yescharacteristic
245C22×#41C2313yes—
246C22×#41C2313yes—
247C23×Q8C2311yescharacteristic
248C23×Q8C2311yescharacteristic
249C23×D4C2313yes—
250C24×C4C2313yes—
251#550—44no—
252#550—44no—
253#550—44no—
254#550—44no—
255#550—44no—
256D4×Q8—44no—
257#548—44no—
258#548—44no—
259#548—44no—
260#548—44no—
261#548—44no—
262#548—44no—
263C2×C4⋊Q8C2313yes—
264C2×#127C2313yes—
265C2×#127C2313yes—
266C2×#127C2316yes—
267C2×#127C2313yes—
268C2×#127C2313yes—
269C2×#127C2313yes—
270C2×#124C2313yes—
271C2×#124C2313yes—
272C2×#124C2313yes—
273C2×#124C2313yes—
274C2×#124C2313yes—
275C2×#124C2313yes—
276C2×#123C2313yes—
277C2×#123C2313yes—
278C2×#123C2316yes—
279C2×#123C2316yes—
280C2×C22⋊Q8C2313yes—
281C2×C22⋊Q8C2313yes—
282C2×C22⋊Q8C2313yes—
283C2×C22⋊Q8C2313yes—
284C2×C22⋊Q8C2313yes—
285C2×C22⋊Q8C2313yes—
286C2×C22⋊Q8C2313yes—
287C2×C22⋊Q8C2313yes—
288C2×#121C2313yes—
289C2×#121C2313yes—
290C2×#121C2313yes—
291C2×#121C2313yes—
292C2×#121C2313yes—
293C2×#121C2313yes—
294C2×#121C2313yes—
295C2×#121C2313yes—
296C2×#121C2313yes—
297C2×#121C2313yes—
298C2×#121C2313yes—
299C2×#121C2313yes—
300C2×#121C2313yes—
301C2×#121C2313yes—
302C2×#121C2313yes—
303C2×#121C2313yes—
304C2×#121C2313yes—
305C2×#121C2316yes—
306C2×#121C2313yes—
307C2×#121C2313yes—
308C2×#121C2313yes—
309C2×#121C2316yes—
310C2×#121C2316yes—
311C2×#120C2316yes—
312C2×#120C2313yes—
313C2×#120C2313yes—
314C2×#120C2313yes—
315C2×#120C2316yes—
316#520—44no—
317C4×#41—44no—
318C2×C4×Q8—44no—
319C2×C4×Q8C2311yescharacteristic
320C2×C4×Q8C2311yescharacteristic
321C2×C4×Q8C2311yescharacteristic
322C2×C4×Q8C2311yescharacteristic
323C2×C4×Q8C2311yescharacteristic
324C2×C4×Q8C2311yescharacteristic
325C2×C4×Q8C2311yescharacteristic
326C2×C4×Q8C2311yescharacteristic
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2313yes—
329C2×C4×Q8C2313yes—
330C2×C4×D4C2313yes—
331C2×C4×D4C2313yes—
332C2×C4×D4C2313yes—
333C2×C4×D4C2313yes—
334C2×C4×D4C2313yes—
335C2×C4×D4C2313yes—
336C2×C4×D4C2313yes—
337C2×C4×D4C2313yes—
338C2×C4×D4C2313yes—
339C2×C4×D4C2313yes—
340C2×C4×D4C2313yes—
341C2×C4×D4C2313yes—
342C2×C4×D4C2313yes—
343C2×C4×D4C2313yes—
344C2×C4×D4C2313yes—
345C2×C4×D4C2313yes—
346C2×#117C2313yes—
347C2×#117C2313yes—
348C22×C4⋊C4C2313yes—
349C22×C4⋊C4C2313yes—
350C22×C42C2313yes—
351C22×C42C2313yes—
352#401C2316yes—
353#401C2313yes—
354#401C2311yescharacteristic
355#400C2313yes—
356#400C2316yes—
357#400C2316yes—
358#400C2316yes—
359#400C2313yes—
360#400C2313yes—
361#400C2311yescharacteristic
362#400C2313yes—
363#400C2313yes—
364#400C2313yes—
365#399C2316yes—
366#399C2313yes—
367#399C2313yes—
368#399C2313yes—
369#399C2311yescharacteristic
370#399C2313yes—
371#398C2313yes—
372#398C2316yes—
373#398C2313yes—
374#398C2316yes—
375#398C2311yescharacteristic
376#397C2313yes—
377#397C2313yes—
378#397C2316yes—
379#397C2316yes—
380#397C2316yes—
381#397C2316yes—
382#397C2316yes—
383#397C2316yes—
384#397C2316yes—
385#397C2316yes—
386#397C2316yes—
387#397C2316yes—
388#397C2313yes—
389#397C2316yes—
390#397C2313yes—
391#397C2313yes—
392#397C2313yes—
393#397C2313yes—
394#397C2311yescharacteristic
395#397C2313yes—
396#397C2313yes—
397#397C2313yes—
398#396C2313yes—
399#396C2316yes—
400#396C2316yes—
401#396C2316yes—
402#396C2316yes—
403#396C2313yes—
404#396C2313yes—
405#396C2313yes—
406#396C2313yes—
407#396C2313yes—
408#394C2313yes—
409#394C2316yes—
410#394C2316yes—
411#394C2316yes—
412#394C2316yes—
413#394C2316yes—
414#394C2316yes—
415#394C2316yes—
416#394C2316yes—
417#394C2313yes—
418#394C2316yes—
419#394C2316yes—
420#394C2316yes—
421#394C2313yes—
422#394C2316yes—
423#394C2316yes—
424#394C2316yes—
425#394C2316yes—
426#394C2316yes—
427#394C2313yes—
428#394C2316yes—
429#394C2311yescharacteristic
430#394C2313yes—
431#394C2313yes—
432#394C2313yes—
433#394C2316yes—
434#392C2313yes—
435#392C2316yes—
436#392C2316yes—
437#392C2316yes—
438#392C2316yes—
439#392C2316yes—
440#392C2316yes—
441#392C2316yes—
442#392C2316yes—
443#392C2316yes—
444#392C2316yes—
445#392C2316yes—
446#392C2313yes—
447#392C2316yes—
448#392C2316yes—
449#392C2313yes—
450#392C2313yes—
451#392C2313yes—
452#392C2313yes—
453#392C2316yes—
454#391C2313yes—
455#391C2313yes—
456#391C2313yes—
457#391C2313yes—
458#391C2313yes—
459#391C2313yes—
460#391C2313yes—
461#391C2313yes—
462#390C2316yes—
463#390C2316yes—
464#390C2316yes—
465#390C2313yes—
466#390C2313yes—
467#390C2313yes—
468#390C2313yes—
469#390C2313yes—
470#390C2313yes—
471#390C2313yes—
472#390C2313yes—
473#390C2313yes—
474#390C2313yes—
475#390C2313yes—
476#390C2313yes—
477#390C2313yes—
478#390C2313yes—
479#390C2313yes—
480#390C2313yes—
481#390C2313yes—
482#390C2316yes—
483#390C2316yes—
484#390C2313yes—
485#390C2313yes—
486#390C2313yes—
487#389C2313yes—
488#389C2313yes—
489#389C2313yes—
490#389C2313yes—
491#389C2313yes—
492#389C2313yes—
493#389C2313yes—
494#389C2313yes—
495#389C2313yes—
496#389C2313yes—
497#389C2313yes—
498#389C2313yes—
499#389C2313yes—
500#389C2313yes—
501#389C2313yes—
502#389C2313yes—
503#388C2313yes—
504#388C2313yes—
505#388C2316yes—
506#388C2316yes—
507#388C2316yes—
508#388C2316yes—
509#388C2316yes—
510#388C2313yes—
511#388C2313yes—
512#388C2316yes—
513#388C2316yes—
514#388C2313yes—
515#388C2316yes—
516#388C2313yes—
517#388C2316yes—
518#388C2316yes—
519#388C2316yes—
520#388C2313yes—
521#388C2313yes—
522#388C2313yes—
523#388C2313yes—
524#388C2311yescharacteristic
525#388C2311yescharacteristic
526#387C2316yes—
527#387C2313yes—
528#387C2316yes—
529#387C2313yes—
530#387C2313yes—
531#387C2311yescharacteristic
532#386C2313yes—
533#386C2313yes—
534#386C2313yes—
535#386C2316yes—
536#386C2316yes—
537#386C2316yes—
538#386C2316yes—
539#386C2316yes—
540#386C2316yes—
541#386C2316yes—
542#386C2316yes—
543#386C2316yes—
544#386C2313yes—
545#386C2313yes—
546#386C2316yes—
547#386C2313yes—
548#386C2316yes—
549#386C2316yes—
550#386C2316yes—
551#386C2316yes—
552#386C2313yes—
553#386C2313yes—
554#386C2313yes—
555#386C2313yes—
556#386C2316yes—
557#386C2316yes—
558#386C2316yes—
559#386C2313yes—
560#386C2313yes—
561#386C2313yes—
562#386C2311yescharacteristic
563#386C2313yes—
564#386C2313yes—
565#386C2313yes—
566#386C2311yescharacteristic
567#386C2313yes—
568#385C2313yes—
569#385C2313yes—
570#385C2316yes—
571#385C2313yes—
572#385C2316yes—
573#385C2313yes—
574#385C2313yes—
575#385C2313yes—
576#385C2313yes—
577#385C2313yes—
578#385C2313yes—
579#385C2311yescharacteristic
580#385C2311yescharacteristic
581#384C2313yes—
582#383C2316yes—
583#383C2316yes—
584#382C2313yes—
585#382C2313yes—
586#382C2313yes—
587#382C2313yes—
588#382C2313yes—
589#381C2316yes—
590#381C2313yes—
591#381C2311yescharacteristic
592#380C2313yes—
593#380C2313yes—
594#380C2313yes—
595#380C2313yes—
596#380C2313yes—
597#380C2313yes—
598#380C2313yes—
599#380C2313yes—
600#380C2313yes—
601#380C2313yes—
602#380C2313yes—
603#380C2313yes—
604#380C2316yes—
605#380C2313yes—
606#380C2316yes—
607#380C2313yes—
608#380C2313yes—
609#380C2311yescharacteristic
610#379C2316yes—
611#379C2313yes—
612#379C2313yes—
613#379C2313yes—
614C4×C4⋊C4C2313yes—
615C4×C4⋊C4C2313yes—
616C4×C4⋊C4C2313yes—
617C4×C4⋊C4C2313yes—
618C4×C4⋊C4C2313yes—
619C4×C4⋊C4C2313yes—
620C4×C4⋊C4C2313yes—
621C4×C4⋊C4C2313yes—
622C4×C4⋊C4C2313yes—
623C4×C22⋊C4C2313yes—
624C4×C22⋊C4C2313yes—
625C4×C22⋊C4C2313yes—
626C4×C22⋊C4C2313yes—
627C4×C22⋊C4C2313yes—
628C4×C22⋊C4C2313yes—
629C4×C22⋊C4C2313yes—
630C4×C22⋊C4C2313yes—
631C4×C22⋊C4C2313yes—
632C4×C22⋊C4C2313yes—
633C4×C22⋊C4C2313yes—
634C4×C22⋊C4C2313yes—
635#376C2313yes—
636C25C2413yes—
637C2×#41—24no—
638C2×#41—24no—
639C2×#41—24no—
640C2×#41—24no—
641C2×#41—24no—
642C2×#41—24no—
643C2×#41—24no—
644C2×#41—24no—
645C2×#41—24no—
646C2×#41—24no—
647C2×#41—24no—
648C2×#41—24no—
649C2×#41—46no—
650C2×#41—46no—
651C2×#41—46no—
652C2×#41—46no—
653C2×#41—46no—
654C2×#41—46no—
655C2×#41—464no—
656C22×Q8—24no—
657C22×Q8—24no—
658C22×Q8—24no—
659C22×Q8—24no—
660C22×Q8—24no—
661C22×Q8—24no—
662C22×Q8C2413yes—
663C22×Q8C2413yes—
664C22×Q8C2411yescharacteristic
665C22×D4—46no—
666C22×D4—46no—
667C22×D4—46no—
668C22×D4C2413yes—
669C22×D4C2413yes—
670C22×D4C2413yes—
671C22×D4C2413yes—
672C22×D4C2411yescharacteristic
673C22×D4C2413yes—
674C22×D4C2413yes—
675C22×D4C2413yes—
676C22×D4C2413yes—
677C22×D4C2413yes—
678C22×D4C2413yes—
679C22×D4C2413yes—
680C22×D4C2413yes—
681C22×D4C2413yes—
682C22×D4C2413yes—
683C22×D4C2413yes—
684C22×D4C2416yes—
685C22×D4C2416yes—
686C22×D4C2416yes—
687C22×D4C2416yes—
688C22×D4C2416yes—
689C22×D4C2416yes—
690C23×C4—46no—
691C23×C4—46no—
692C23×C4—46no—
693C23×C4C2413yes—
694C23×C4C2413yes—
695C23×C4C2413yes—
696C23×C4C2413yes—
697C23×C4C2413yes—
698C23×C4C2413yes—
699C23×C4C2411yescharacteristic
700C23×C4C2413yes—
701C23×C4C2416yes—
702C23×C4C2413yes—
703C23×C4C2413yes—
704C23×C4C2411yescharacteristic
705C23×C4C2413yes—
706C23×C4C2413yes—
707C4⋊Q8—46no—
708#127—46no—
709#127—46no—
710#127—46no—
711#127—46no—
712#127—46no—
713#127—412no—
714#124—46no—
715#124—46no—
716#124—46no—
717#124—46no—
718#124—46no—
719#124—46no—
720#123—46no—
721#123—46no—
722#123—86no—
723#123—86no—
724C22⋊Q8—46no—
725C22⋊Q8—46no—
726C22⋊Q8—46no—
727C22⋊Q8—46no—
728C22⋊Q8—46no—
729C22⋊Q8—46no—
730C22⋊Q8—46no—
731C22⋊Q8—46no—
732#121—412no—
733#121—46no—
734#121—46no—
735#121—46no—
736#121—46no—
737#121—46no—
738#121—46no—
739#121—46no—
740#121—46no—
741#121—46no—
742#121—46no—
743#121—46no—
744#121—46no—
745#121—46no—
746#121—46no—
747#121—46no—
748#121—46no—
749#121—46no—
750#121—46no—
751#121—46no—
752#121—46no—
753#121—86no—
754#121—86no—
755#120—46no—
756#120—46no—
757#120—412no—
758#120—46no—
759#120—86no—
760C4×Q8—24no—
761C4×Q8—24no—
762C4×Q8—24no—
763C4×Q8—24no—
764C4×Q8—24no—
765C4×Q8—24no—
766C4×Q8—24no—
767C4×Q8—24no—
768C4×Q8—24no—
769C4×Q8—46no—
770C4×Q8—46no—
771C4×D4—46no—
772C4×D4—46no—
773C4×D4—46no—
774C4×D4—46no—
775C4×D4—46no—
776C4×D4—46no—
777C4×D4—46no—
778C4×D4—46no—
779C4×D4—46no—
780C4×D4—46no—
781C4×D4—46no—
782C4×D4—46no—
783C4×D4—46no—
784C4×D4—46no—
785C4×D4—46no—
786C4×D4—46no—
787#117—46no—
788#117—46no—
789C2×C4⋊C4—46no—
790C2×C4⋊C4—46no—
791C2×C4⋊C4C2413yes—
792C2×C4⋊C4C2413yes—
793C2×C4⋊C4C2413yes—
794C2×C4⋊C4C2413yes—
795C2×C4⋊C4C2413yes—
796C2×C4⋊C4C2413yes—
797C2×C4⋊C4C2413yes—
798C2×C4⋊C4C2413yes—
799C2×C4⋊C4C2413yes—
800C2×C4⋊C4C2413yes—
801C2×C4⋊C4C2411yescharacteristic
802C2×C4⋊C4C2413yes—
803C2×C4⋊C4C2416yes—
804C2×C4⋊C4C2411yescharacteristic
805C2×C4⋊C4C2411yescharacteristic
806C2×C4⋊C4C2411yescharacteristic
807C2×C4⋊C4C2411yescharacteristic
808C2×C4⋊C4C2411yescharacteristic
809C2×C4⋊C4C2411yescharacteristic
810C2×C4⋊C4C2413yes—
811C2×C4⋊C4C2413yes—
812C2×C4⋊C4C2413yes—
813C2×C4⋊C4C2413yes—
814C2×C4⋊C4C2413yes—
815C2×C4⋊C4C2413yes—
816C2×C4⋊C4C2413yes—
817C2×C4⋊C4C2413yes—
818C2×C4⋊C4C2416yes—
819C2×C4⋊C4C2413yes—
820C2×C4⋊C4C2413yes—
821C2×C4⋊C4C2413yes—
822C2×C4⋊C4C2413yes—
823C2×C4⋊C4C2416yes—
824C2×C4⋊C4C2413yes—
825C2×C4⋊C4C2413yes—
826C2×C4⋊C4C2413yes—
827C2×C4⋊C4C2413yes—
828C2×C4⋊C4C2413yes—
829C2×C22⋊C4C2411yescharacteristic
830C2×C22⋊C4C2411yescharacteristic
831C2×C22⋊C4C2413yes—
832C2×C22⋊C4C2413yes—
833C2×C22⋊C4C2411yescharacteristic
834C2×C22⋊C4C2411yescharacteristic
835C2×C22⋊C4C2413yes—
836C2×C22⋊C4C2413yes—
837C2×C22⋊C4C2413yes—
838C2×C22⋊C4C2416yes—
839C2×C22⋊C4C2411yescharacteristic
840C2×C22⋊C4C2411yescharacteristic
841C2×C22⋊C4C2411yescharacteristic
842C2×C22⋊C4C2411yescharacteristic
843C2×C22⋊C4C2411yescharacteristic
844C2×C22⋊C4C2411yescharacteristic
845C2×C22⋊C4C2413yes—
846C2×C22⋊C4C2413yes—
847C2×C22⋊C4C2413yes—
848C2×C22⋊C4C2413yes—
849C2×C22⋊C4C2413yes—
850C2×C22⋊C4C2413yes—
851C2×C22⋊C4C2413yes—
852C2×C22⋊C4C2413yes—
853C2×C22⋊C4C2413yes—
854C2×C22⋊C4C2413yes—
855C2×C22⋊C4C2413yes—
856C2×C22⋊C4C2413yes—
857C2×C22⋊C4C2413yes—
858C2×C22⋊C4C2413yes—
859C2×C22⋊C4C2413yes—
860C2×C22⋊C4C2413yes—
861C2×C22⋊C4C2413yes—
862C2×C22⋊C4C2413yes—
863C2×C22⋊C4C2413yes—
864C2×C22⋊C4C2416yes—
865C2×C22⋊C4C2416yes—
866C2×C22⋊C4C2413yes—
867C2×C22⋊C4C2413yes—
868C2×C22⋊C4C2413yes—
869C2×C22⋊C4C2413yes—
870C2×C22⋊C4C2413yes—
871C2×C22⋊C4C2413yes—
872C2×C22⋊C4C2416yes—
873C2×C22⋊C4C2416yes—
874C2×C22⋊C4C2413yes—
875C2×C22⋊C4C2416yes—
876C2×C22⋊C4C2416yes—
877C2×C22⋊C4C2416yes—
878C2×C22⋊C4C2416yes—
879C2×C22⋊C4C2416yes—
880C2×C22⋊C4C2416yes—
881C2×C22⋊C4C2416yes—
882C2×C22⋊C4C2416yes—
883C2×C22⋊C4C2413yes—
884C2×C22⋊C4C2413yes—
885C2×C22⋊C4C2413yes—
886C2×C22⋊C4C2413yes—
887C2×C22⋊C4C2413yes—
888C2×C22⋊C4C2416yes—
889C2×C22⋊C4C2413yes—
890C2×C22⋊C4C2416yes—
891C2×C22⋊C4C2413yes—
892C2×C22⋊C4C2413yes—
893C2×C22⋊C4C2413yes—
894C2×C42—46no—
895C2×C42—46no—
896C2×C42C2413yes—
897C2×C42C2413yes—
898C2×C42C2413yes—
899C2×C42C2413yes—
900C2×C42C2413yes—
901C2×C42C2413yes—
902C2×C42C2413yes—
903C2×C42C2413yes—
904C2×C42C2413yes—
905C2×C42C2413yes—
906C2×C42C2413yes—
907C2×C42C2413yes—
908C2×C42C2416yes—
909C2×C42C2411yescharacteristic
910#95C2411yescharacteristic
911#95C2413yes—
912#95C2413yes—
913#95C2413yes—
914#95C2411yescharacteristic
915#95C2411yescharacteristic
916#95C2411yescharacteristic
917#95C2411yescharacteristic
918#95C2411yescharacteristic
919#95C2411yescharacteristic
920#95C2411yescharacteristic
921#95C2411yescharacteristic
922#95C2413yes—
923#95C2413yes—
924#95C2413yes—
925#95C2413yes—
926#95C2413yes—
927#95C2413yes—
928#95C2413yes—
929#95C2413yes—
930#95C2413yes—
931#95C2413yes—
932#95C2413yes—
933#95C2413yes—
934#95C2413yes—
935#95C2413yes—
936#95C2413yes—
937#95C2413yes—
938#95C2411yescharacteristic
939#95C2411yescharacteristic
940#95C2411yescharacteristic
941#95C2411yescharacteristic
942#95C2411yescharacteristic
943#95C2413yes—
944#95C2413yes—
945#95C2413yes—
946#95C2413yes—
947#95C2413yes—
948#95C2413yes—
949#95C2413yes—
950#95C2416yes—
951#95C2416yes—
952#95C2416yes—
953#95C2416yes—
954#95C2416yes—
955#95C2416yes—
956#95C2416yes—
957#95C2416yes—
958#95C2416yes—
959C24—26no—
960C24—43no—
961C24—43no—
962C24—43no—
963C24—43no—
964C24—43no—
965C24—43no—
966C24C2513yes—
967C24C2513yes—
968C24C2513yes—
969C24C2513yes—
970C24C2511yescharacteristic
971C24C2511yescharacteristic
972#41—448no—
973#41—448no—
974#41—416no—
975#41—416no—
976#41—416no—
977#41—416no—
978C2×Q8—26no—
979C2×Q8—26no—
980C2×Q8—26no—
981C2×Q8—26no—
982C2×Q8—26no—
983C2×Q8—26no—
984C2×Q8—416no—
985C2×Q8—416no—
986C2×Q8H(5,𝔽2)14yes—
987C2×Q8H(5,𝔽2)14yes—
988C2×Q8H(5,𝔽2)14yes—
989C2×D4—22no—
990C2×D4—22no—
991C2×D4—26no—
992C2×D4—26no—
993C2×D4—26no—
994C2×D4—26no—
995C2×D4—26no—
996C2×D4—26no—
997C2×D4—26no—
998C2×D4—26no—
999C2×D4—26no—
1000C2×D4—26no—
1001C2×D4—26no—
1002C2×D4—26no—
1003C2×D4—26no—
1004C2×D4—26no—
1005C2×D4—26no—
1006C2×D4—26no—
1007C2×D4—26no—
1008C2×D4—26no—
1009C2×D4—26no—
1010C2×D4—41no—
1011C2×D4—46no—
1012C2×D4—46no—
1013C2×D4—46no—
1014C2×D4—43no—
1015C2×D4—43no—
1016C2×D4—43no—
1017C2×D4—43no—
1018C2×D4—43no—
1019C2×D4—43no—
1020C2×D4—43no—
1021C2×D4—43no—
1022C2×D4—43no—
1023C2×D4—43no—
1024C2×D4—43no—
1025C2×D4—43no—
1026C2×D4—43no—
1027C2×D4—43no—
1028C2×D4—43no—
1029C2×D4—43no—
1030C2×D4—43no—
1031C2×D4—43no—
1032C2×D4—43no—
1033C2×D4—43no—
1034C2×D4—43no—
1035C2×D4—43no—
1036C2×D4—43no—
1037C2×D4—43no—
1038C2×D4—43no—
1039C2×D4—43no—
1040C2×D4—46no—
1041C2×D4—46no—
1042C2×D4—46no—
1043C2×D4—46no—
1044C2×D4—46no—
1045C2×D4—46no—
1046C2×D4—46no—
1047C2×D4—46no—
1048C2×D4—46no—
1049C2×D4—46no—
1050C2×D4—46no—
1051C2×D4—46no—
1052C2×D4—46no—
1053C2×D4—46no—
1054C2×D4—46no—
1055C2×D4—448no—
1056C22×C4—22no—
1057C22×C4—26no—
1058C22×C4—26no—
1059C22×C4—26no—
1060C22×C4—26no—
1061C22×C4—26no—
1062C22×C4—26no—
1063C22×C4—26no—
1064C22×C4—26no—
1065C22×C4—26no—
1066C22×C4—26no—
1067C22×C4—26no—
1068C22×C4—26no—
1069C22×C4—26no—
1070C22×C4—26no—
1071C22×C4—26no—
1072C22×C4—26no—
1073C22×C4—26no—
1074C22×C4—26no—
1075C22×C4—22no—
1076C22×C4—41no—
1077C22×C4—41no—
1078C22×C4—41no—
1079C22×C4—41no—
1080C22×C4—43no—
1081C22×C4—43no—
1082C22×C4—43no—
1083C22×C4—43no—
1084C22×C4—43no—
1085C22×C4—43no—
1086C22×C4—43no—
1087C22×C4—43no—
1088C22×C4—43no—
1089C22×C4—43no—
1090C22×C4—43no—
1091C22×C4—43no—
1092C22×C4—43no—
1093C22×C4—43no—
1094C22×C4—43no—
1095C22×C4—46no—
1096C22×C4—46no—
1097C22×C4—46no—
1098C22×C4—448no—
1099C22×C4C2511yescharacteristic
1100C22×C4C2511yescharacteristic
1101C22×C4C2511yescharacteristic
1102C22×C4C2513yes—
1103C22×C4C2513yes—
1104C22×C4C2513yes—
1105C22×C4C2511yescharacteristic
1106C22×C4C2511yescharacteristic
1107C22×C4C2513yes—
1108C22×C4C2511yescharacteristic
1109C22×C4C2511yescharacteristic
1110C22×C4C2511yescharacteristic
1111C22×C4C2513yes—
1112C22×C4C2513yes—
1113C22×C4C2513yes—
1114C22×C4C2511yescharacteristic
1115C22×C4C2511yescharacteristic
1116C22×C4C2513yes—
1117C22×C4C2513yes—
1118C22×C4C2513yes—
1119C22×C4C2511yescharacteristic
1120C22×C4C2513yes—
1121C22×C4C2511yescharacteristic
1122C22×C4C2511yescharacteristic
1123C22×C4C2513yes—
1124C4⋊C4—26no—
1125C4⋊C4—26no—
1126C4⋊C4—26no—
1127C4⋊C4—26no—
1128C4⋊C4—26no—
1129C4⋊C4—26no—
1130C4⋊C4—26no—
1131C4⋊C4—26no—
1132C4⋊C4—26no—
1133C4⋊C4—26no—
1134C4⋊C4—22no—
1135C4⋊C4—43no—
1136C4⋊C4—46no—
1137C4⋊C4—41no—
1138C4⋊C4—41no—
1139C4⋊C4—41no—
1140C4⋊C4—41no—
1141C4⋊C4—41no—
1142C4⋊C4—41no—
1143C4⋊C4—43no—
1144C4⋊C4—43no—
1145C4⋊C4—43no—
1146C4⋊C4—43no—
1147C4⋊C4—43no—
1148C4⋊C4—43no—
1149C4⋊C4—43no—
1150C4⋊C4—43no—
1151C4⋊C4—43no—
1152C4⋊C4—43no—
1153C4⋊C4—43no—
1154C4⋊C4—43no—
1155C4⋊C4—46no—
1156C4⋊C4—46no—
1157C4⋊C4—43no—
1158C4⋊C4—43no—
1159C4⋊C4—43no—
1160C4⋊C4—43no—
1161C4⋊C4—43no—
1162C22⋊C4—22no—
1163C22⋊C4—26no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—26no—
1168C22⋊C4—26no—
1169C22⋊C4—43no—
1170C22⋊C4—43no—
1171C22⋊C4—46no—
1172C22⋊C4—41no—
1173C22⋊C4—41no—
1174C22⋊C4—41no—
1175C22⋊C4—41no—
1176C22⋊C4—41no—
1177C22⋊C4—41no—
1178C22⋊C4—43no—
1179C22⋊C4—43no—
1180C22⋊C4—43no—
1181C22⋊C4—43no—
1182C22⋊C4—43no—
1183C22⋊C4—43no—
1184C22⋊C4—43no—
1185C22⋊C4—43no—
1186C22⋊C4—43no—
1187C22⋊C4—43no—
1188C22⋊C4—43no—
1189C22⋊C4—43no—
1190C22⋊C4—43no—
1191C22⋊C4—43no—
1192C22⋊C4—43no—
1193C22⋊C4—43no—
1194C22⋊C4—43no—
1195C22⋊C4—43no—
1196C22⋊C4—43no—
1197C22⋊C4—43no—
1198C22⋊C4—46no—
1199C22⋊C4—43no—
1200C22⋊C4—43no—
1201C22⋊C4—43no—
1202C22⋊C4—46no—
1203C22⋊C4—43no—
1204C22⋊C4—43no—
1205C22⋊C4—46no—
1206C22⋊C4—46no—
1207C22⋊C4—43no—
1208C22⋊C4—43no—
1209C22⋊C4—46no—
1210C22⋊C4—43no—
1211C22⋊C4—43no—
1212C22⋊C4—43no—
1213C22⋊C4—46no—
1214C22⋊C4—46no—
1215C22⋊C4—46no—
1216C22⋊C4—46no—
1217C22⋊C4—46no—
1218C22⋊C4—46no—
1219C22⋊C4—43no—
1220C22⋊C4—46no—
1221C22⋊C4—46no—
1222C22⋊C4—43no—
1223C22⋊C4—43no—
1224C22⋊C4—43no—
1225C22⋊C4—46no—
1226C22⋊C4—43no—
1227C42—26no—
1228C42—26no—
1229C42—26no—
1230C42—26no—
1231C42—26no—
1232C42—26no—
1233C42—26no—
1234C42—26no—
1235C42—26no—
1236C42—41no—
1237C42—43no—
1238C42—43no—
1239C42—43no—
1240C42—46no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—23no—
1254C23—23no—
1255C23—23no—
1256C23—23no—
1257C23—23no—
1258C23—23no—
1259C23—23no—
1260C23—23no—
1261C23—23no—
1262C23—23no—
1263C23—23no—
1264C23—23no—
1265C23—23no—
1266C23—23no—
1267C23—23no—
1268C23—23no—
1269C23—23no—
1270C23—23no—
1271C23—23no—
1272C23—23no—
1273C23—23no—
1274C23—23no—
1275C23—23no—
1276C23—23no—
1277C23—23no—
1278C23—23no—
1279C23—23no—
1280C23—23no—
1281C23—412no—
1282C23—86no—
1283C23—86no—
1284C23—86no—
1285C23—86no—
1286C23—86no—
1287C23—86no—
1288C23#58512yes—
1289C23#58512yes—
1290C23C2611yescharacteristic
1291Q8—412no—
1292Q8—412no—
1293Q8#560116yes—
1294D4—44no—
1295D4—424no—
1296D4—412no—
1297D4—412no—
1298D4—412no—
1299D4—412no—
1300D4—86no—
1301D4—86no—
1302D4—86no—
1303D4—86no—
1304D4—86no—
1305D4—86no—
1306D4—86no—
1307D4—86no—
1308D4—86no—
1309D4—86no—
1310D4—86no—
1311D4—166no—
1312D4—166no—
1313D4—166no—
1314D4—166no—
1315D4—166no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—23no—
1327C2×C4—23no—
1328C2×C4—23no—
1329C2×C4—23no—
1330C2×C4—23no—
1331C2×C4—23no—
1332C2×C4—23no—
1333C2×C4—23no—
1334C2×C4—23no—
1335C2×C4—21no—
1336C2×C4—23no—
1337C2×C4—21no—
1338C2×C4—23no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—23no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—23no—
1348C2×C4—23no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—23no—
1353C2×C4—23no—
1354C2×C4—23no—
1355C2×C4—23no—
1356C2×C4—23no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—23no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—23no—
1364C2×C4—23no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—23no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—23no—
1374C2×C4—23no—
1375C2×C4—23no—
1376C2×C4—23no—
1377C2×C4—21no—
1378C2×C4—23no—
1379C2×C4—23no—
1380C2×C4—23no—
1381C2×C4—21no—
1382C2×C4—23no—
1383C2×C4—21no—
1384C2×C4—23no—
1385C2×C4—23no—
1386C2×C4—21no—
1387C2×C4—44no—
1388C2×C4—44no—
1389C2×C4—412no—
1390C2×C4—412no—
1391C2×C4—412no—
1392C2×C4—412no—
1393C2×C4—412no—
1394C2×C4—412no—
1395C2×C4—412no—
1396C2×C4—412no—
1397C2×C4—86no—
1398C2×C4—86no—
1399C2×C4—86no—
1400C2×C4—166no—
1401C2×C4C2×H(5,𝔽2)16yes—
1402C2×C4C2×H(5,𝔽2)16yes—
1403C2×C4C2×H(5,𝔽2)16yes—
1404C2×C4#58512yes—
1405C22—22no—
1406C22—22no—
1407C22—22no—
1408C22—22no—
1409C22—22no—
1410C22—22no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—43no—
1420C22—43no—
1421C22—43no—
1422C22—43no—
1423C22—43no—
1424C22—43no—
1425C22—43no—
1426C22—43no—
1427C22—43no—
1428C22—43no—
1429C22—43no—
1430C22—43no—
1431C22—43no—
1432C22—43no—
1433C22—43no—
1434C22—43no—
1435C22—43no—
1436C22—43no—
1437C22—43no—
1438C22—43no—
1439C22—43no—
1440C22—43no—
1441C22—43no—
1442C22—43no—
1443C22—43no—
1444C22—43no—
1445C22—43no—
1446C22—43no—
1447C22—824no—
1448C22C22×H(5,𝔽2)11yescharacteristic
1449C22C22×H(5,𝔽2)11yescharacteristic
1450C22C22×H(5,𝔽2)11yescharacteristic
1451C22C2×#58511yescharacteristic
1452C22C2×#58511yescharacteristic
1453C22C2×#58511yescharacteristic
1454C22H(7,𝔽2)11yescharacteristic
1455C4—22no—
1456C4—41no—
1457C4—43no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—43no—
1463C4—43no—
1464C4—41no—
1465C4—43no—
1466C4—43no—
1467C4—43no—
1468C4—41no—
1469C4—43no—
1470C4—43no—
1471C4—43no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—43no—
1478C4—43no—
1479C4C2×#560112yes—
1480C2—42no—
1481C2—42no—
1482C2—83no—
1483C2—83no—
1484C2—83no—
1485C2—83no—
1486C2C22×#56011yescharacteristic
1487C2#6289911yescharacteristic
1488C2#6289911yescharacteristic
1489C2#6292311yescharacteristic
1490C2#6301911yescharacteristic
1491C2#6302011yescharacteristic
1492C2#6302011yescharacteristic
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. #53098C2semidirect
2. #53088C2semidirect
3. #53073C2semidirect
4. #53053C2semidirect
5. #53000C2semidirect
6. #52971C2semidirect
7. #52292C2semidirect
8. #45708C2semidirect
9. #45701C2semidirect
10. #45655C2semidirect
11. #45623C2semidirect
12. #45604C2semidirect
13. #45599C2semidirect
14. #45593C2semidirect
15. #45593C2semidirect
16. #45508C2semidirect
17. #36578C2semidirect
18. #36576C2semidirect
19. #36434C2semidirect
20. #36433C2semidirect
21. #36430C2semidirect
22. #36430C2semidirect
23. #36429C2semidirect
24. #36429C2semidirect
25. #36428C2semidirect
26. #36076C2semidirect
27. #36066C2semidirect
28. #36059C2semidirect
29. #36029C2semidirect
30. #35883C2semidirect
31. #35737C2semidirect
37. C2×#550C22semidirect
43. C2×#548C22semidirect
44. C2×#548C22semidirect
45. C2×#520C22semidirect
46. C2×C4×#41C22semidirect
47. C22×C4×Q8C22semidirect
48. #2856C22semidirect
49. #2854C22semidirect
50. #2854C22semidirect
51. #2850C22semidirect
52. #2850C22semidirect
53. #2850C22semidirect
57. #2837C22semidirect
58. #2829C22semidirect
59. #2828C22semidirect
60. #2828C22semidirect
61. #2827C22semidirect
62. #2826C22semidirect
63. #2825C22semidirect
64. #2825C22semidirect
65. #2825C22semidirect
66. #2813C22semidirect
68. #2807C22semidirect
69. #2803C22semidirect
70. #2797C22semidirect
72. #2796C22semidirect
74. #2780C22semidirect
75. #2778C22semidirect
76. #2778C22semidirect
77. #2778C22semidirect
78. #2757C22semidirect
79. #2757C22semidirect
80. #2756C22semidirect
81. #2756C22semidirect
83. #2749C22semidirect
85. #2746C22semidirect
86. #2746C22semidirect
88. #2703C22semidirect
89. #2703C22semidirect
90. #2703C22semidirect
92. #2693C22semidirect
93. #2693C22semidirect
95. #2688C22semidirect
96. #2688C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
105. #2657C22semidirect
106. #2645C22semidirect
107. #2644C22semidirect
108. #2624C22semidirect
109. #2621C22semidirect
110. #2619C22semidirect
111. #2548C22semidirect
112. #2547C22semidirect
113. #2545C22semidirect
114. #2544C22semidirect
115. #2544C22semidirect
116. #2541C22semidirect
117. #2541C22semidirect
118. #2541C22semidirect
119. #2541C22semidirect
120. #2540C22semidirect
121. #2540C22semidirect
122. #2540C22semidirect
123. #2538C22semidirect
127. #2535C22semidirect
128. #2535C22semidirect
129. #2514C22semidirect
130. #2514C22semidirect
131. #2513C22semidirect
132. #2513C22semidirect
133. #2513C22semidirect
134. #2511C22semidirect
135. #2504C22semidirect
136. #2504C22semidirect
137. #2500C22semidirect
140. #2495C22semidirect
141. #2495C22semidirect
142. #2495C22semidirect
144. #2487C22semidirect
145. #2486C22semidirect
146. #2485C22semidirect
147. #2448C22semidirect
148. #2448C22semidirect
149. #2445C22semidirect
150. #2445C22semidirect
151. #2445C22semidirect
152. #2445C22semidirect
162. #2429C22semidirect
164. #2428C22semidirect
165. #2428C22semidirect
166. #2428C22semidirect
168. #2427C22semidirect
169. #2427C22semidirect
170. #2427C22semidirect
172. #2426C22semidirect
173. #2426C22semidirect
174. #2422C22semidirect
175. #2421C22semidirect
176. #2421C22semidirect
177. #2420C22semidirect
178. #2420C22semidirect
179. #2420C22semidirect
181. #2417C22semidirect
182. #2417C22semidirect
184. #2416C22semidirect
185. #2416C22semidirect
186. #2416C22semidirect
187. #2416C22semidirect
188. #2415C22semidirect
189. #2415C22semidirect
191. #2414C22semidirect
202. #2401C22semidirect
203. #2397C22semidirect
204. #2395C22semidirect
206. #2392C22semidirect
207. #2380C22semidirect
208. #2377C22semidirect
210. #2351C22semidirect
211. #2351C22semidirect
212. #2351C22semidirect
213. #2351C22semidirect
214. #2351C22semidirect
215. Q8×C4⋊C4C22semidirect
222. #2341C22semidirect
223. #2341C22semidirect
227. Q8×C22⋊C4C22semidirect
228. C4×#123C22semidirect
229. C4×#123C22semidirect
232. C4×#121C22semidirect
233. C4×#121C22semidirect
237. #2276C22semidirect

Maximal subgroups

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

subgroupindex
#530982
#530882
#530732
#530532
#530002
#529712
#522922
#457082
#457012
#456552
#456232
#456042
#455992
#455932
#455082
#365782
#365762
#364342
#364332
#364302
#364292
#364282
#360762
#360662
#360592
#360292
#358832
#357372