Finite Group Databasebeta

← #7658024

Subgroups — #7658024

Order 512.

4660 conjugacy classes of subgroups.

The subgroup lattice has 1468 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#41557C214yesmaximal, complemented
2#41548C214yesmaximal, complemented
3#40909C214yesmaximal, complemented
4#40899C214yesmaximal, complemented
5#40895C214yesmaximal, complemented
6#40888C214yesmaximal
7#39603C212yesmaximal, complemented
8#39510C211yesmaximal, characteristic, complemented
9#39373C211yesmaximal, characteristic, complemented
10#37888C211yesmaximal, characteristic, complemented
11#37883C211yesmaximal, characteristic, complemented
12#37856C212yesmaximal, complemented
13#37853C212yesmaximal, complemented
14#37709C211yesmaximal, characteristic, complemented
15#37705C211yesmaximal, characteristic, complemented
16#37582C212yesmaximal, complemented
17#37510C212yesmaximal, complemented
18#37503C212yesmaximal, complemented
19#36181C211yesmaximal, characteristic, complemented
20#36156C212yesmaximal
21#36131C211yesmaximal, characteristic, complemented
22#35999C214yesmaximal, complemented
23#35824C214yesmaximal, complemented
24#35336C211yesmaximal, characteristic, complemented
25#35310C211yesmaximal, characteristic, complemented
26#35310C211yesmaximal, characteristic, complemented
27#34634C211yesmaximal, characteristic, complemented
28#34629C211yesmaximal, characteristic, complemented
29C2×#2629C211yesmaximal, characteristic, complemented
30#34314C212yesmaximal, complemented
31D4×#117C211yesmaximal, characteristic
32C2×#552C2212yes—
33C2×#541C2211yescharacteristic, complemented
34C2×#541C2211yescharacteristic, complemented
35C2×#533C2211yescharacteristic, complemented
36C22×#125C2211yescharacteristic, complemented
37C22×C4×D4C2211yescharacteristic
38C22×#117C2211yescharacteristic
39C22×#117C2211yescharacteristic
40#2859C2211yescharacteristic, complemented
41#2859C2211yescharacteristic, complemented
42#2857C2211yescharacteristic, complemented
43#2857C2211yescharacteristic, complemented
44#2851C2212yes—
45#2851C2211yescharacteristic, complemented
46#2851C2211yescharacteristic, complemented
47#2848C2212yes—
48#2848C2212yes—
49#2839C2214yescomplemented
50#2839C2214yescomplemented
51#2838C2214yescomplemented
52#2834C2214yescomplemented
53#2830C2214yes—
54#2827C2214yes—
55#2800C2214yes—
56#2793C2214yescomplemented
57#2792C2214yescomplemented
58#2791C2214yescomplemented
59#2791C2214yescomplemented
60#2788C2214yes—
61#2781C2214yes—
62#2776C2214yescomplemented
63#2770C2214yescomplemented
64#2768C2214yes—
65#2747C2214yescomplemented
66#2745C2214yes—
67#2744C2214yescomplemented
68#2742C2214yescomplemented
69#2738C2214yes—
70#2738C2214yescomplemented
71#2735C2214yes—
72#2735C2214yes—
73#2727C2214yes—
74#2726C2214yescomplemented
75#2725C2214yescomplemented
76#2719C2214yescomplemented
77#2702C2214yes—
78#2690C2214yescomplemented
79#2666C2214yescomplemented
80#2666C2214yescomplemented
81#2655C2214yescomplemented
82#2655C2214yescomplemented
83#2654C2214yescomplemented
84#2654C2214yescomplemented
85#2654C2214yescomplemented
86#2652C2214yes—
87#2652C2214yescomplemented
88#2651C2214yes—
89#2650C2214yescomplemented
90#2649C2214yes—
91#2647C2211yescharacteristic, complemented
92#2647C2212yescomplemented
93#2645C2212yescomplemented
94#2642C2211yescharacteristic, complemented
95#2629C2211yescharacteristic
96#2629C2211yescharacteristic
97#2629C2211yescharacteristic
98#2629C2214yes—
99#2629C2212yes—
100#2629C2211yescharacteristic, complemented
101#2629C2214yescomplemented
102#2629C2211yescharacteristic, complemented
103#2629C2212yescomplemented
104#2629C2211yescharacteristic, complemented
105#2629C2211yescharacteristic, complemented
106#2628C2212yes—
107#2628C2212yescomplemented
108#2627C2214yescomplemented
109#2627C2214yescomplemented
110#2626C2214yes—
111#2625C2212yes—
112#2625C2212yescomplemented
113#2625C2212yescomplemented
114#2623C2214yes—
115#2621C2211yescharacteristic
116#2594C2214yescomplemented
117#2594C2214yescomplemented
118#2590C2214yescomplemented
119#2590C2214yescomplemented
120#2590C2214yescomplemented
121#2587C2214yes—
122#2587C2214yes—
123#2577C2214yescomplemented
124#2574C2214yes—
125#2573C2214yes—
126#2565C2212yescomplemented
127#2562C2212yes—
128#2561C2214yes—
129#2556C2214yescomplemented
130#2550C2212yescomplemented
131#2536C2212yes—
132#2532C2214yescomplemented
133#2529C2214yescomplemented
134#2525C2214yescomplemented
135#2525C2214yescomplemented
136#2524C2214yescomplemented
137#2522C2214yes—
138#2522C2214yescomplemented
139#2520C2214yescomplemented
140#2519C2214yescomplemented
141#2519C2214yescomplemented
142#2515C2214yes—
143#2508C2212yescomplemented
144#2508C2214yescomplemented
145#2507C2212yescomplemented
146#2506C2214yescomplemented
147#2503C2212yescomplemented
148#2499C2212yescomplemented
149#2497C2212yescomplemented
150#2496C2214yescomplemented
151#2495C2212yescomplemented
152#2495C2212yescomplemented
153#2494C2212yescomplemented
154#2493C2214yescomplemented
155#2493C2214yescomplemented
156#2492C2212yescomplemented
157#2489C2212yescomplemented
158#2488C2214yes—
159#2486C2212yes—
160#2486C2214yes—
161#2485C2212yes—
162#2484C2214yescomplemented
163#2482C2214yes—
164#2481C2214yes—
165#2480C2214yes—
166#2480C2214yes—
167#2480C2214yes—
168#2478C2214yescomplemented
169#2478C2214yescomplemented
170#2475C2214yes—
171#2475C2214yes—
172#2473C2214yes—
173#2473C2214yescomplemented
174#2473C2214yescomplemented
175#2469C2214yescomplemented
176#2468C2214yes—
177#2462C2214yescomplemented
178#2460C2214yes—
179#2453C2212yescomplemented
180#2453C2214yescomplemented
181#2451C2212yescomplemented
182#2449C2214yes—
183#2442C2214yescomplemented
184#2441C2212yescomplemented
185#2440C2212yescomplemented
186#2438C2214yescomplemented
187#2423C2212yescomplemented
188#2423C2212yescomplemented
189#2419C2214yes—
190#2417C2212yes—
191#2415C2212yes—
192#2413C2214yes—
193#2405C2214yes—
194#2402C2214yescomplemented
195#2401C2214yes—
196#2396C2214yes—
197#2396C2214yescomplemented
198C2×#398C2214yescomplemented
199C2×#396C2214yes—
200#2373C2214yescomplemented
201#2370C2212yescomplemented
202#2370C2214yescomplemented
203#2362C2212yescomplemented
204#2360C2212yescomplemented
205#2360C2214yescomplemented
206#2359C2214yes—
207#2359C2214yes—
208#2354C2212yes—
209#2352C2212yes—
210#2352C2212yes—
211#2352C2212yes—
212#2351C2212yescomplemented
213D4×C4⋊C4C2212yes—
214#2347C2212yescomplemented
215#2344C2212yes—
216#2344C2212yescomplemented
217#2344C2214yescomplemented
218#2343C2214yescomplemented
219#2342C2214yes—
220#2342C2212yes—
221#2342C2212yes—
222D4×C22⋊C4C2212yes—
223#2336C2214yescomplemented
224#2334C2214yescomplemented
225#2330C2211yescharacteristic, complemented
226#2330C2211yescharacteristic, complemented
227#2323C2212yes—
228#2323C2212yes—
229#2322C2214yes—
230#2314C2212yes—
231#2314C2211yescharacteristic, complemented
232#2314C2211yescharacteristic, complemented
233C4×C4⋊Q8C2211yescharacteristic, complemented
234C4×#125C2212yescomplemented
235C4×#125C2211yescharacteristic, complemented
236C4×C22⋊Q8C2212yes—
237C4×C22⋊Q8C2212yescomplemented
238C4×C22⋊Q8C2212yescomplemented
239#2296C2212yescomplemented
240#2295C2212yescomplemented
241#2293C2211yescharacteristic
242#2293C2211yescharacteristic
243C2×#389C2212yescomplemented
244#2290C2211yescharacteristic
245#2290C2211yescharacteristic
246#2290C2211yescharacteristic
247#2290C2211yescharacteristic
248#2285C2211yescharacteristic
249#2285C2211yescharacteristic, complemented
250C2×#384C2211yescharacteristic, complemented
251#2280C2212yes—
252#2280C2211yescharacteristic
253#2280C2211yescharacteristic
254C2×#380C2212yes—
255#2274C2214yescomplemented
256C42×D4C2211yescharacteristic
257C42×D4C2211yescharacteristic
258C4×#117C2211yescharacteristic
259C23×D4C2311yescharacteristic
260C24×C4C2311yescharacteristic
261C24×C4C2311yescharacteristic
262#552—216no—
263#541—44no—
264#541—44no—
265#533—44no—
266C2×C4⋊Q8C2311yescharacteristic
267C2×C4⋊Q8C2312yes—
268C2×#126C2314yes—
269C2×#126C2314yes—
270C2×#126C2314yes—
271C2×#125—44no—
272C2×#125C2312yes—
273C2×#125C2311yescharacteristic
274C2×#125C2311yescharacteristic
275C2×#125C2311yescharacteristic
276C2×#125C2314yes—
277C2×#125C2312yes—
278C2×#125C2314yes—
279C2×#125C2314yes—
280C2×#125C2314yes—
281C2×#123C2314yes—
282C2×#123C2314yes—
283C2×C22⋊Q8C2312yes—
284C2×C22⋊Q8C2312yes—
285C2×C22⋊Q8C2312yes—
286C2×C22⋊Q8C2314yes—
287C2×C22⋊Q8C2312yes—
288C2×C22⋊Q8C2312yes—
289C2×C22⋊Q8C2314yes—
290C2×C4×Q8C2312yes—
291C2×C4×Q8C2312yes—
292C2×C4×Q8C2312yes—
293C2×C4×Q8C2314yes—
294C2×C4×D4—28no—
295C2×C4×D4C2311yescharacteristic
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2312yes—
303C2×C4×D4C2312yes—
304C2×C4×D4C2311yescharacteristic
305C2×#117—44no—
306C2×#117—44no—
307C2×#117C2311yescharacteristic
308C2×#117C2311yescharacteristic
309C2×#117C2311yescharacteristic
310C2×#117C2314yes—
311C2×#117C2312yes—
312C2×#117C2311yescharacteristic
313C2×#117C2311yescharacteristic
314C2×#117C2311yescharacteristic
315C2×#117C2312yes—
316C2×#117C2312yes—
317C2×#117C2314yes—
318C2×#117C2312yes—
319C2×#117C2312yes—
320C2×#117C2312yes—
321C2×#117C2311yescharacteristic
322C2×#117C2311yescharacteristic
323C22×C4⋊C4C2311yescharacteristic
324C22×C4⋊C4C2312yes—
325C22×C4⋊C4C2314yes—
326C22×C4⋊C4C2314yes—
327C22×C4⋊C4C2312yes—
328C22×C4⋊C4C2312yes—
329C22×C4⋊C4C2312yes—
330C22×C4⋊C4C2314yes—
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2314yes—
334C22×C22⋊C4C2312yes—
335C22×C22⋊C4C2312yes—
336C22×C42C2311yescharacteristic
337C22×C42C2311yescharacteristic
338C22×C42C2311yescharacteristic
339C22×C42C2311yescharacteristic
340C22×C42C2311yescharacteristic
341#401C2314yes—
342#401C2314yes—
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#399C2314yes—
367#399C2314yes—
368#399C2314yes—
369#399C2314yes—
370#399C2314yes—
371#398C2314yes—
372#398C2314yes—
373#398C2314yes—
374#398C2314yes—
375#398C2314yes—
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#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#395C2314yes—
434#395C2314yes—
435#395C2314yes—
436#395C2314yes—
437#395C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#393C2314yes—
443#393C2314yes—
444#393C2314yes—
445#391C2312yes—
446#391C2312yes—
447#391C2312yes—
448#391C2314yes—
449#391C2312yes—
450#391C2312yes—
451#391C2312yes—
452#391C2314yes—
453#391C2314yes—
454#390C2312yes—
455#390C2312yes—
456#389C2312yes—
457#389C2312yes—
458#389C2312yes—
459#389C2314yes—
460#389C2314yes—
461#389C2314yes—
462#389C2314yes—
463#389C2312yes—
464#389C2312yes—
465#389C2314yes—
466#389C2314yes—
467#389C2314yes—
468#389C2312yes—
469#389C2314yes—
470#389C2314yes—
471#389C2312yes—
472#389C2312yes—
473#389C2314yes—
474#389C2314yes—
475#389C2314yes—
476#389C2314yes—
477#389C2314yes—
478#389C2314yes—
479#389C2314yes—
480#389C2314yes—
481#389C2314yes—
482#389C2314yes—
483#389C2312yes—
484#389C2314yes—
485#389C2312yes—
486#389C2312yes—
487#389C2314yes—
488#389C2312yes—
489#389C2312yes—
490#389C2314yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#388C2314yes—
495#388C2314yes—
496#388C2314yes—
497#388C2314yes—
498#388C2314yes—
499#388C2314yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2312yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2312yes—
515#388C2312yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2312yes—
521#388C2312yes—
522#388C2312yes—
523#388C2312yes—
524#388C2312yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#387C2314yes—
530#387C2314yes—
531#387C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2314yes—
535#387C2314yes—
536#387C2314yes—
537#387C2314yes—
538#387C2314yes—
539#387C2314yes—
540#387C2314yes—
541#387C2314yes—
542#387C2314yes—
543#387C2314yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2312yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2312yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2312yes—
571#387C2312yes—
572#387C2314yes—
573#387C2314yes—
574#386C2312yes—
575#386C2314yes—
576#386C2312yes—
577#386C2312yes—
578#386C2312yes—
579#386C2314yes—
580#385C2314yes—
581#385C2314yes—
582#385C2314yes—
583#385C2314yes—
584#385C2314yes—
585#385C2314yes—
586#385C2314yes—
587#385C2312yes—
588#385C2314yes—
589#385C2314yes—
590#385C2314yes—
591#385C2314yes—
592#385C2314yes—
593#385C2314yes—
594#385C2314yes—
595#385C2312yes—
596#385C2312yes—
597#385C2312yes—
598#385C2314yes—
599#385C2314yes—
600#385C2314yes—
601#384C2311yescharacteristic
602#384C2312yes—
603#384C2312yes—
604#384C2311yescharacteristic
605#384C2311yescharacteristic
606#384C2312yes—
607#384C2314yes—
608#383C2314yes—
609#383C2314yes—
610#383C2314yes—
611#382C2311yescharacteristic
612#382C2312yes—
613#382C2312yes—
614#382C2312yes—
615#382C2314yes—
616#382C2312yes—
617#382C2314yes—
618#382C2314yes—
619#381C2314yes—
620#381C2314yes—
621#381C2312yes—
622#381C2312yes—
623#381C2314yes—
624#381C2314yes—
625#381C2314yes—
626#380C2312yes—
627#380C2312yes—
628#380C2312yes—
629#380C2312yes—
630#380C2312yes—
631#380C2312yes—
632#380C2312yes—
633#380C2312yes—
634#380C2312yes—
635#380C2312yes—
636#380C2312yes—
637#380C2314yes—
638#380C2314yes—
639#380C2314yes—
640#380C2312yes—
641#380C2312yes—
642#380C2312yes—
643#380C2312yes—
644#380C2314yes—
645#380C2312yes—
646#380C2314yes—
647#380C2312yes—
648#380C2314yes—
649#379C2312yes—
650#379C2314yes—
651#379C2314yes—
652#379C2312yes—
653#379C2314yes—
654C4×C4⋊C4C2312yes—
655C4×C4⋊C4C2312yes—
656C4×C4⋊C4C2312yes—
657C4×C4⋊C4C2314yes—
658C4×C4⋊C4C2314yes—
659C4×C4⋊C4C2314yes—
660C4×C4⋊C4C2314yes—
661C4×C4⋊C4C2311yescharacteristic
662C4×C4⋊C4C2312yes—
663C4×C4⋊C4C2312yes—
664C4×C4⋊C4C2314yes—
665C4×C4⋊C4C2314yes—
666C4×C4⋊C4C2314yes—
667C4×C4⋊C4C2312yes—
668C4×C4⋊C4C2312yes—
669C4×C4⋊C4C2314yes—
670C4×C4⋊C4C2314yes—
671C4×C4⋊C4C2312yes—
672C4×C4⋊C4C2314yes—
673C4×C4⋊C4C2312yes—
674C4×C4⋊C4C2314yes—
675C4×C4⋊C4C2314yes—
676C4×C4⋊C4C2311yescharacteristic
677C4×C4⋊C4C2314yes—
678C4×C4⋊C4C2314yes—
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2311yescharacteristic
681C4×C4⋊C4C2311yescharacteristic
682C4×C22⋊C4C2314yes—
683C4×C22⋊C4C2314yes—
684C4×C22⋊C4C2314yes—
685C4×C22⋊C4C2314yes—
686C4×C22⋊C4C2314yes—
687C4×C22⋊C4C2312yes—
688C4×C22⋊C4C2312yes—
689C4×C22⋊C4C2312yes—
690C4×C22⋊C4C2312yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2312yes—
693C4×C22⋊C4C2312yes—
694C4×C22⋊C4C2311yescharacteristic
695C4×C22⋊C4C2311yescharacteristic
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2311yescharacteristic
698C4×C22⋊C4C2311yescharacteristic
699C4×C22⋊C4C2311yescharacteristic
700C4×C22⋊C4C2311yescharacteristic
701C4×C22⋊C4C2311yescharacteristic
702C4×C22⋊C4C2311yescharacteristic
703#376C2311yescharacteristic
704#376C2314yes—
705#376C2311yescharacteristic
706C2×#95C2314yes—
707C2×#95C2314yes—
708C43C2311yescharacteristic
709C43C2311yescharacteristic
710C25C2411yescharacteristic
711C25C2411yescharacteristic
712C22×Q8C2412yes—
713C22×Q8C2414yes—
714C22×D4—24no—
715C22×D4—44no—
716C22×D4C2411yescharacteristic
717C22×D4C2411yescharacteristic
718C22×D4C2411yescharacteristic
719C22×D4C2411yescharacteristic
720C23×C4—24no—
721C23×C4—24no—
722C23×C4—24no—
723C23×C4—24no—
724C23×C4—42no—
725C23×C4—42no—
726C23×C4C2414yes—
727C23×C4C2411yescharacteristic
728C23×C4C2411yescharacteristic
729C23×C4C2412yes—
730C23×C4C2411yescharacteristic
731C23×C4C2411yescharacteristic
732C23×C4C2411yescharacteristic
733C23×C4C2411yescharacteristic
734C23×C4C2411yescharacteristic
735C23×C4C2411yescharacteristic
736C23×C4C2411yescharacteristic
737C23×C4C2411yescharacteristic
738C23×C4C2411yescharacteristic
739C23×C4C2411yescharacteristic
740C23×C4C2414yes—
741C23×C4C2412yes—
742C23×C4C2412yes—
743C23×C4C2411yescharacteristic
744C23×C4C2412yes—
745C4⋊Q8—24no—
746C4⋊Q8—44no—
747#126—216no—
748#126—48no—
749#126—48no—
750#125—216no—
751#125—28no—
752#125—24no—
753#125—24no—
754#125—24no—
755#125—44no—
756#125—48no—
757#125—48no—
758#125—48no—
759#123—216no—
760#123—48no—
761C22⋊Q8—28no—
762C22⋊Q8—28no—
763C22⋊Q8—28no—
764C22⋊Q8—48no—
765C22⋊Q8—48no—
766C22⋊Q8—44no—
767C22⋊Q8—44no—
768C4×Q8—28no—
769C4×Q8—48no—
770C4×Q8—44no—
771C4×Q8—44no—
772C4×D4—24no—
773C4×D4—24no—
774C4×D4—24no—
775C4×D4—24no—
776C4×D4—24no—
777C4×D4—24no—
778C4×D4—24no—
779C4×D4—44no—
780C4×D4—44no—
781C4×D4#4118yes—
782#117—28no—
783#117—24no—
784#117—216no—
785#117—24no—
786#117—24no—
787#117—24no—
788#117—42no—
789#117—42no—
790#117—42no—
791#117—42no—
792#117—44no—
793#117—44no—
794#117—44no—
795#117—44no—
796#117—48no—
797#117—44no—
798C2×C4⋊C4—28no—
799C2×C4⋊C4—24no—
800C2×C4⋊C4—44no—
801C2×C4⋊C4—44no—
802C2×C4⋊C4—44no—
803C2×C4⋊C4—48no—
804C2×C4⋊C4—48no—
805C2×C4⋊C4—48no—
806C2×C4⋊C4C2412yes—
807C2×C4⋊C4C2412yes—
808C2×C4⋊C4C2412yes—
809C2×C4⋊C4C2412yes—
810C2×C4⋊C4C2412yes—
811C2×C4⋊C4C2411yescharacteristic
812C2×C4⋊C4C2411yescharacteristic
813C2×C4⋊C4C2411yescharacteristic
814C2×C4⋊C4C2412yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2412yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2412yes—
820C2×C4⋊C4C2412yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2414yes—
823C2×C4⋊C4C2412yes—
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2414yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2412yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2414yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2412yes—
832C2×C4⋊C4C2412yes—
833C2×C4⋊C4C2412yes—
834C2×C4⋊C4C2412yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2414yes—
837C2×C4⋊C4C2414yes—
838C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2411yescharacteristic
869C2×C22⋊C4—24no—
870C2×C22⋊C4—24no—
871C2×C22⋊C4—44no—
872C2×C22⋊C4—44no—
873C2×C22⋊C4—48no—
874C2×C22⋊C4C2412yes—
875C2×C22⋊C4C2412yes—
876C2×C22⋊C4C2412yes—
877C2×C22⋊C4C2411yescharacteristic
878C2×C22⋊C4C2411yescharacteristic
879C2×C22⋊C4C2411yescharacteristic
880C2×C22⋊C4C2411yescharacteristic
881C2×C22⋊C4C2411yescharacteristic
882C2×C22⋊C4C2411yescharacteristic
883C2×C22⋊C4C2412yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2412yes—
888C2×C22⋊C4C2412yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2412yes—
892C2×C22⋊C4C2412yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2412yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2411yescharacteristic
915C2×C22⋊C4C2411yescharacteristic
916C2×C42—24no—
917C2×C42—24no—
918C2×C42—24no—
919C2×C42—42no—
920C2×C42—42no—
921C2×C42C2411yescharacteristic
922C2×C42C2411yescharacteristic
923C2×C42C2411yescharacteristic
924C2×C42C2412yes—
925C2×C42C2411yescharacteristic
926C2×C42C2412yes—
927C2×C42C2414yes—
928C2×C42C2411yescharacteristic
929C2×C42C2414yes—
930C2×C42C2411yescharacteristic
931C2×C42C2411yescharacteristic
932C2×C42C2411yescharacteristic
933C2×C42C2411yescharacteristic
934C2×C42C2411yescharacteristic
935C2×C42C2412yes—
936C2×C42C2412yes—
937C2×C42C2414yes—
938C2×C42C2414yes—
939C2×C42C2414yes—
940C2×C42C2412yes—
941C2×C42C2412yes—
942C2×C42C2414yes—
943C2×C42C2414yes—
944C2×C42C2412yes—
945C2×C42C2412yes—
946C2×C42C2414yes—
947C2×C42C2414yes—
948C2×C42C2414yes—
949C2×C42C2411yescharacteristic
950C2×C42C2411yescharacteristic
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2412yes—
960#95C2412yes—
961#95C2414yes—
962#95C2412yes—
963#95C2412yes—
964#95C2414yes—
965#95C2414yes—
966#95C2412yes—
967#95C2412yes—
968#95C2412yes—
969#95C2412yes—
970#95C2412yes—
971#95C2412yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2412yes—
981#95C2412yes—
982#95C2412yes—
983#95C2414yes—
984#95C2412yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2412yes—
990#95C2412yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016C24—22no—
1017C24—22no—
1018C24—22no—
1019C24—24no—
1020C24—22no—
1021C24—41no—
1022C24—41no—
1023C24—42no—
1024C24—42no—
1025C24—42no—
1026C24C2511yescharacteristic
1027C24C2511yescharacteristic
1028C24C2511yescharacteristic
1029C24C2511yescharacteristic
1030C24C2511yescharacteristic
1031C2×Q8—24no—
1032C2×Q8—24no—
1033C2×Q8—24no—
1034C2×Q8—44no—
1035C2×Q8—44no—
1036C2×Q8—44no—
1037C2×D4—24no—
1038C2×D4—22no—
1039C2×D4—22no—
1040C2×D4—24no—
1041C2×D4—22no—
1042C2×D4—42no—
1043C2×D4—42no—
1044C2×D4—416no—
1045C2×D4C2×#4114yes—
1046C22×C4—22no—
1047C22×C4—22no—
1048C22×C4—22no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—22no—
1052C22×C4—28no—
1053C22×C4—22no—
1054C22×C4—22no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—28no—
1058C22×C4—24no—
1059C22×C4—28no—
1060C22×C4—28no—
1061C22×C4—24no—
1062C22×C4—22no—
1063C22×C4—22no—
1064C22×C4—22no—
1065C22×C4—22no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—22no—
1069C22×C4—24no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—24no—
1080C22×C4—41no—
1081C22×C4—41no—
1082C22×C4—41no—
1083C22×C4—41no—
1084C22×C4—41no—
1085C22×C4—41no—
1086C22×C4—42no—
1087C22×C4—42no—
1088C22×C4—416no—
1089C22×C4—416no—
1090C22×C4—42no—
1091C22×C4—42no—
1092C22×C4—44no—
1093C22×C4—42no—
1094C22×C4—42no—
1095C22×C4—42no—
1096C22×C4—42no—
1097C22×C4—42no—
1098C22×C4—44no—
1099C22×C4—42no—
1100C22×C4C2×#4114yes—
1101C22×C4C2×#4114yes—
1102C22×C42−1+414yes—
1103C22×C4C2512yes—
1104C22×C4C2512yes—
1105C22×C4C2514yes—
1106C22×C4C2511yescharacteristic
1107C22×C4C2511yescharacteristic
1108C22×C4C2511yescharacteristic
1109C22×C4C2511yescharacteristic
1110C22×C4C2514yes—
1111C22×C4C2512yes—
1112C22×C4C2512yes—
1113C22×C4C2514yes—
1114C22×C4C2514yes—
1115C22×C4C2514yes—
1116C22×C4C2514yes—
1117C22×C4C2512yes—
1118C22×C4C2512yes—
1119C22×C4C2514yes—
1120C22×C4C2512yes—
1121C22×C4C2514yes—
1122C22×C4C2511yescharacteristic
1123C22×C4C2511yescharacteristic
1124C22×C4C2511yescharacteristic
1125C22×C4C2511yescharacteristic
1126C22×C4C2512yes—
1127C22×C4C2511yescharacteristic
1128C22×C4C2511yescharacteristic
1129C4⋊C4—24no—
1130C4⋊C4—22no—
1131C4⋊C4—22no—
1132C4⋊C4—22no—
1133C4⋊C4—24no—
1134C4⋊C4—28no—
1135C4⋊C4—24no—
1136C4⋊C4—28no—
1137C4⋊C4—28no—
1138C4⋊C4—28no—
1139C4⋊C4—28no—
1140C4⋊C4—28no—
1141C4⋊C4—24no—
1142C4⋊C4—24no—
1143C4⋊C4—24no—
1144C4⋊C4—24no—
1145C4⋊C4—24no—
1146C4⋊C4—28no—
1147C4⋊C4—28no—
1148C4⋊C4—24no—
1149C4⋊C4—28no—
1150C4⋊C4—28no—
1151C4⋊C4—24no—
1152C4⋊C4—24no—
1153C4⋊C4—28no—
1154C4⋊C4—44no—
1155C4⋊C4—44no—
1156C4⋊C4—44no—
1157C4⋊C4—44no—
1158C4⋊C4—44no—
1159C4⋊C4—44no—
1160C4⋊C4—44no—
1161C4⋊C4—44no—
1162C4⋊C4—42no—
1163C4⋊C4—42no—
1164C4⋊C4—42no—
1165C4⋊C4—42no—
1166C4⋊C4—44no—
1167C4⋊C4—44no—
1168C4⋊C4—44no—
1169C4⋊C4—44no—
1170C4⋊C4—44no—
1171C4⋊C4—44no—
1172C4⋊C4—42no—
1173C4⋊C4—44no—
1174C4⋊C4—44no—
1175C4⋊C4—44no—
1176C4⋊C4—42no—
1177C4⋊C4—44no—
1178C4⋊C4—44no—
1179C4⋊C4—42no—
1180C4⋊C4—42no—
1181C4⋊C4—44no—
1182C4⋊C4—44no—
1183C4⋊C4—44no—
1184C4⋊C4—44no—
1185C4⋊C4—44no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4C2×#4114yes—
1192C22⋊C4—22no—
1193C22⋊C4—22no—
1194C22⋊C4—28no—
1195C22⋊C4—28no—
1196C22⋊C4—28no—
1197C22⋊C4—24no—
1198C22⋊C4—28no—
1199C22⋊C4—24no—
1200C22⋊C4—28no—
1201C22⋊C4—24no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—24no—
1207C22⋊C4—24no—
1208C22⋊C4—24no—
1209C22⋊C4—44no—
1210C22⋊C4—44no—
1211C22⋊C4—44no—
1212C22⋊C4—44no—
1213C22⋊C4—42no—
1214C22⋊C4—42no—
1215C22⋊C4—42no—
1216C22⋊C4—42no—
1217C22⋊C4—42no—
1218C22⋊C4—42no—
1219C22⋊C4—44no—
1220C22⋊C4—44no—
1221C22⋊C4—44no—
1222C22⋊C4—42no—
1223C22⋊C4—42no—
1224C22⋊C4—44no—
1225C22⋊C4—44no—
1226C22⋊C4—42no—
1227C22⋊C4—42no—
1228C22⋊C4—44no—
1229C22⋊C4—44no—
1230C22⋊C4—44no—
1231C22⋊C4—44no—
1232C22⋊C4C2×#4114yes—
1233C22⋊C4C2×#4114yes—
1234C42—22no—
1235C42—22no—
1236C42—22no—
1237C42—28no—
1238C42—28no—
1239C42—24no—
1240C42—24no—
1241C42—22no—
1242C42—22no—
1243C42—22no—
1244C42—22no—
1245C42—22no—
1246C42—22no—
1247C42—22no—
1248C42—42no—
1249C42—42no—
1250C42—42no—
1251C42—42no—
1252C42—44no—
1253C42—44no—
1254C42—44no—
1255C42—44no—
1256C42—44no—
1257C42—44no—
1258C42—42no—
1259C42—42no—
1260C42—44no—
1261C42—44no—
1262C42C2×#4114yes—
1263C42H(5,𝔽2)14yes—
1264C23—21no—
1265C23—21no—
1266C23—22no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—22no—
1272C23—22no—
1273C23—22no—
1274C23—22no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—22no—
1282C23—22no—
1283C23—22no—
1284C23—22no—
1285C23—44no—
1286C23—44no—
1287C23—48no—
1288C23—44no—
1289C23—44no—
1290C23—82no—
1291C23—84no—
1292C23—82no—
1293C23—84no—
1294C23—84no—
1295C23C22×#4112yes—
1296C23C22×#4112yes—
1297C23C2×2−1+412yes—
1298C23#58514yes—
1299C23C2611yescharacteristic
1300Q8—48no—
1301Q8—88no—
1302D4—28no—
1303D4—44no—
1304D4—44no—
1305D4—44no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—28no—
1317C2×C4—28no—
1318C2×C4—28no—
1319C2×C4—21no—
1320C2×C4—24no—
1321C2×C4—21no—
1322C2×C4—24no—
1323C2×C4—24no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—24no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—24no—
1333C2×C4—24no—
1334C2×C4—24no—
1335C2×C4—24no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—24no—
1341C2×C4—24no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—24no—
1347C2×C4—24no—
1348C2×C4—22no—
1349C2×C4—24no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—24no—
1353C2×C4—24no—
1354C2×C4—24no—
1355C2×C4—22no—
1356C2×C4—22no—
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—24no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—24no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—44no—
1375C2×C4—44no—
1376C2×C4—48no—
1377C2×C4—44no—
1378C2×C4—44no—
1379C2×C4—44no—
1380C2×C4—44no—
1381C2×C4—44no—
1382C2×C4—416no—
1383C2×C4—44no—
1384C2×C4—44no—
1385C2×C4—82no—
1386C2×C4—84no—
1387C2×C4—84no—
1388C2×C4—88no—
1389C2×C4—84no—
1390C2×C4C22×#4112yes—
1391C2×C4C22×#4112yes—
1392C2×C4C22×#4112yes—
1393C2×C4C22×#4112yes—
1394C2×C4C22×#4112yes—
1395C2×C4C2×H(5,𝔽2)14yes—
1396C2×C4C2×H(5,𝔽2)12yes—
1397C2×C4C2×2−1+412yes—
1398C2×C4C2×2−1+412yes—
1399C22—22no—
1400C22—22no—
1401C22—24no—
1402C22—24no—
1403C22—22no—
1404C22—22no—
1405C22—22no—
1406C22—24no—
1407C22—22no—
1408C22—41no—
1409C22—42no—
1410C22—42no—
1411C22—42no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—42no—
1418C22—42no—
1419C22—42no—
1420C22—42no—
1421C22—41no—
1422C22—41no—
1423C22—88no—
1424C22—88no—
1425C22#345514yes—
1426C22C23×#4111yescharacteristic
1427C22C22×H(5,𝔽2)11yescharacteristic
1428C22C22×2−1+411yescharacteristic
1429C22C2×#58512yes—
1430C222−1+612yes—
1431C4—22no—
1432C4—22no—
1433C4—22no—
1434C4—22no—
1435C4—24no—
1436C4—22no—
1437C4—41no—
1438C4—41no—
1439C4—44no—
1440C4—44no—
1441C4—41no—
1442C4—42no—
1443C4—42no—
1444C4—42no—
1445C4—44no—
1446C4—42no—
1447C4—44no—
1448C4—42no—
1449C4—44no—
1450C4—42no—
1451C4—42no—
1452C4—44no—
1453C4—44no—
1454C4—44no—
1455C4—41no—
1456C4#352014yes—
1457C2—24no—
1458C2—42no—
1459C2—42no—
1460C2—81no—
1461C2—81no—
1462C2C2×#345511yescharacteristic
1463C2C2×#352011yescharacteristic
1464C2#6286111yescharacteristic
1465C2#6292712yes—
1466C2#6292812yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #41557C2semidirect
2. #41548C2semidirect
3. #40909C2semidirect
4. #40899C2semidirect
5. #40895C2semidirect
7. #39603C2semidirect
8. #39510C2semidirect
9. #39373C2semidirect
10. #37888C2semidirect
11. #37883C2semidirect
12. #37856C2semidirect
13. #37853C2semidirect
14. #37709C2semidirect
15. #37705C2semidirect
16. #37582C2semidirect
17. #37510C2semidirect
18. #37503C2semidirect
19. #36181C2semidirect
21. #36131C2semidirect
22. #35999C2semidirect
23. #35824C2semidirect
24. #35336C2semidirect
25. #35310C2semidirect
26. #35310C2semidirect
27. #34634C2semidirect
28. #34629C2semidirect
29. C2×#2629C2semidirect
30. #34314C2semidirect
33. C2×#541C22semidirect
34. C2×#541C22semidirect
35. C2×#533C22semidirect
36. C22×#125C22semidirect
40. #2859C22semidirect
41. #2859C22semidirect
42. #2857C22semidirect
43. #2857C22semidirect
45. #2851C22semidirect
46. #2851C22semidirect
49. #2839C22semidirect
50. #2839C22semidirect
51. #2838C22semidirect
52. #2834C22semidirect
56. #2793C22semidirect
57. #2792C22semidirect
58. #2791C22semidirect
59. #2791C22semidirect
62. #2776C22semidirect
63. #2770C22semidirect
65. #2747C22semidirect
67. #2744C22semidirect
68. #2742C22semidirect
70. #2738C22semidirect
74. #2726C22semidirect
75. #2725C22semidirect
76. #2719C22semidirect
78. #2690C22semidirect
79. #2666C22semidirect
80. #2666C22semidirect
81. #2655C22semidirect
82. #2655C22semidirect
83. #2654C22semidirect
84. #2654C22semidirect
85. #2654C22semidirect
87. #2652C22semidirect
89. #2650C22semidirect
91. #2647C22semidirect
92. #2647C22semidirect
93. #2645C22semidirect
94. #2642C22semidirect
100. #2629C22semidirect
101. #2629C22semidirect
102. #2629C22semidirect
103. #2629C22semidirect
104. #2629C22semidirect
105. #2629C22semidirect
107. #2628C22semidirect
108. #2627C22semidirect
109. #2627C22semidirect
112. #2625C22semidirect
113. #2625C22semidirect
116. #2594C22semidirect
117. #2594C22semidirect
118. #2590C22semidirect
119. #2590C22semidirect
120. #2590C22semidirect
123. #2577C22semidirect
126. #2565C22semidirect
129. #2556C22semidirect
130. #2550C22semidirect
132. #2532C22semidirect
133. #2529C22semidirect
134. #2525C22semidirect
135. #2525C22semidirect
136. #2524C22semidirect
138. #2522C22semidirect
139. #2520C22semidirect
140. #2519C22semidirect
141. #2519C22semidirect
143. #2508C22semidirect
144. #2508C22semidirect
145. #2507C22semidirect
146. #2506C22semidirect
147. #2503C22semidirect
148. #2499C22semidirect
149. #2497C22semidirect
150. #2496C22semidirect
151. #2495C22semidirect
152. #2495C22semidirect
153. #2494C22semidirect
154. #2493C22semidirect
155. #2493C22semidirect
156. #2492C22semidirect
157. #2489C22semidirect
162. #2484C22semidirect
168. #2478C22semidirect
169. #2478C22semidirect
173. #2473C22semidirect
174. #2473C22semidirect
175. #2469C22semidirect
177. #2462C22semidirect
179. #2453C22semidirect
180. #2453C22semidirect
181. #2451C22semidirect
183. #2442C22semidirect
184. #2441C22semidirect
185. #2440C22semidirect
186. #2438C22semidirect
187. #2423C22semidirect
188. #2423C22semidirect
194. #2402C22semidirect
197. #2396C22semidirect
198. C2×#398C22semidirect
200. #2373C22semidirect
201. #2370C22semidirect
202. #2370C22semidirect
203. #2362C22semidirect
204. #2360C22semidirect
205. #2360C22semidirect
212. #2351C22semidirect
214. #2347C22semidirect
216. #2344C22semidirect
217. #2344C22semidirect
218. #2343C22semidirect
223. #2336C22semidirect
224. #2334C22semidirect
225. #2330C22semidirect
226. #2330C22semidirect
231. #2314C22semidirect
232. #2314C22semidirect
233. C4×C4⋊Q8C22semidirect
234. C4×#125C22semidirect
235. C4×#125C22semidirect
237. C4×C22⋊Q8C22semidirect
238. C4×C22⋊Q8C22semidirect
239. #2296C22semidirect
240. #2295C22semidirect
243. C2×#389C22semidirect
249. #2285C22semidirect
250. C2×#384C22semidirect
255. #2274C22semidirect

Maximal subgroups

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

subgroupindex
#415572
#415482
#409092
#408992
#408952
#408882
#396032
#395102
#393732
#378882
#378832
#378562
#378532
#377092
#377052
#375822
#375102
#375032
#361812
#361562
#361312
#359992
#358242
#353362
#353102
#346342
#346292
C2×#26292
#343142
D4×#1172