Finite Group Databasebeta

← #7764813

Subgroups — #7764813

Order 512.

4757 conjugacy classes of subgroups.

The subgroup lattice has 1564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59629C211yesmaximal, characteristic, complemented
2#59296C212yesmaximal, complemented
3#59221C212yesmaximal, complemented
4#59202C211yesmaximal, characteristic, complemented
5#59114C212yesmaximal, complemented
6#50867C212yesmaximal
7#49218C214yesmaximal, complemented
8#48997C212yesmaximal, complemented
9#47335C214yesmaximal, complemented
10#47151C212yesmaximal, complemented
11#47035C212yesmaximal, complemented
12#45631C212yesmaximal, complemented
13#45622C211yesmaximal, characteristic, complemented
14#45488C211yesmaximal, characteristic, complemented
15#44668C214yesmaximal, complemented
16#41837C212yesmaximal, complemented
17#41669C212yesmaximal, complemented
18#40369C214yesmaximal, complemented
19#40070C212yesmaximal, complemented
20#39911C212yesmaximal, complemented
21#39911C212yesmaximal, complemented
22#39787C212yesmaximal, complemented
23#39158C212yesmaximal, complemented
24#37099C212yesmaximal, complemented
25#36439C212yesmaximal, complemented
26#36204C212yesmaximal, complemented
27#36161C212yesmaximal, complemented
28#35240C211yesmaximal, characteristic, complemented
29#34809C211yesmaximal, characteristic, complemented
30#34514C212yesmaximal, complemented
31C4×#534C211yesmaximal, characteristic
32C2×#563C2212yes—
33C2×#556C2212yes—
34C2×#534C2211yescharacteristic
35C2×#533C2211yescharacteristic, complemented
36C22×C4×D4C2211yescharacteristic
37C22×C4×D4C2211yescharacteristic
38C22×#117C2211yescharacteristic, complemented
39#2857C2212yescomplemented
40#2857C2212yescomplemented
41#2855C2212yescomplemented
42#2852C2214yescomplemented
43#2848C2212yes—
44#2848C2212yescomplemented
45#2848C2212yescomplemented
46#2836C2214yescomplemented
47#2834C2212yescomplemented
48#2817C2212yescomplemented
49#2807C2212yescomplemented
50#2806C2214yescomplemented
51#2804C2212yes—
52#2798C2214yescomplemented
53#2793C2214yescomplemented
54#2790C2214yescomplemented
55#2789C2214yescomplemented
56#2787C2214yescomplemented
57#2781C2214yes—
58#2776C2214yescomplemented
59#2773C2214yescomplemented
60#2768C2214yescomplemented
61#2765C2214yescomplemented
62#2765C2214yescomplemented
63#2765C2214yescomplemented
64#2759C2214yescomplemented
65#2759C2214yescomplemented
66#2757C2214yescomplemented
67#2751C2214yes—
68#2751C2214yes—
69#2751C2214yescomplemented
70#2751C2214yescomplemented
71#2747C2214yescomplemented
72#2746C2214yescomplemented
73#2736C2214yescomplemented
74#2736C2214yescomplemented
75#2735C2212yescomplemented
76#2735C2212yescomplemented
77#2722C2212yescomplemented
78#2717C2212yes—
79#2713C2214yescomplemented
80#2711C2214yes—
81#2700C2214yescomplemented
82#2700C2214yescomplemented
83#2700C2214yescomplemented
84#2698C2214yescomplemented
85#2697C2212yes—
86#2689C2214yescomplemented
87#2687C2214yescomplemented
88#2685C2214yes—
89#2685C2214yes—
90#2684C2212yes—
91#2674C2214yes—
92#2672C2214yes—
93#2663C2214yes—
94#2653C2214yes—
95#2653C2214yescomplemented
96#2651C2214yescomplemented
97#2644C2214yescomplemented
98#2633C2212yes—
99#2633C2212yescomplemented
100#2607C2212yescomplemented
101#2601C2214yescomplemented
102#2599C2214yescomplemented
103#2597C2214yescomplemented
104#2597C2214yescomplemented
105#2594C2214yescomplemented
106#2589C2214yescomplemented
107#2589C2214yescomplemented
108#2589C2214yescomplemented
109#2585C2214yescomplemented
110#2576C2214yescomplemented
111#2576C2214yescomplemented
112#2573C2214yescomplemented
113#2570C2212yescomplemented
114#2563C2212yescomplemented
115#2561C2214yes—
116#2559C2214yes—
117#2558C2214yes—
118#2551C2212yescomplemented
119#2547C2211yescharacteristic
120#2547C2212yescomplemented
121#2547C2211yescharacteristic, complemented
122#2542C2211yescharacteristic
123#2542C2211yescharacteristic, complemented
124#2538C2212yescomplemented
125#2536C2212yes—
126#2536C2212yescomplemented
127#2536C2212yescomplemented
128#2532C2214yescomplemented
129#2529C2214yescomplemented
130#2527C2214yescomplemented
131#2527C2214yescomplemented
132#2527C2214yescomplemented
133#2526C2214yescomplemented
134#2525C2214yescomplemented
135#2523C2214yescomplemented
136#2522C2214yescomplemented
137#2519C2214yescomplemented
138#2517C2212yescomplemented
139#2516C2214yescomplemented
140#2516C2214yescomplemented
141#2514C2214yescomplemented
142#2511C2214yescomplemented
143#2509C2212yescomplemented
144#2506C2212yescomplemented
145#2502C2212yescomplemented
146#2499C2212yescomplemented
147#2496C2212yescomplemented
148#2496C2212yescomplemented
149#2494C2214yescomplemented
150#2494C2212yescomplemented
151#2494C2212yescomplemented
152#2494C2212yescomplemented
153#2494C2212yescomplemented
154#2493C2214yescomplemented
155#2492C2212yescomplemented
156#2492C2212yescomplemented
157#2491C2214yes—
158#2487C2211yescharacteristic
159#2487C2211yescharacteristic, complemented
160#2486C2211yescharacteristic
161#2486C2211yescharacteristic, complemented
162#2485C2212yes—
163#2485C2212yes—
164#2485C2212yescomplemented
165#2485C2212yescomplemented
166#2485C2212yescomplemented
167#2484C2212yescomplemented
168#2483C2212yescomplemented
169#2482C2212yes—
170#2482C2212yes—
171#2482C2212yescomplemented
172#2480C2214yes—
173#2480C2214yes—
174#2480C2214yescomplemented
175#2480C2214yescomplemented
176#2478C2214yescomplemented
177#2478C2214yescomplemented
178#2474C2214yes—
179#2474C2214yes—
180#2472C2214yes—
181#2469C2214yescomplemented
182#2466C2214yes—
183#2466C2214yescomplemented
184#2462C2214yescomplemented
185#2451C2212yescomplemented
186#2447C2214yes—
187#2446C2212yescomplemented
188#2440C2212yescomplemented
189#2439C2212yescomplemented
190#2439C2212yescomplemented
191#2439C2212yescomplemented
192#2439C2212yescomplemented
193#2435C2214yes—
194#2435C2212yes—
195#2429C2212yescomplemented
196#2423C2212yescomplemented
197#2423C2212yescomplemented
198#2421C2212yescomplemented
199#2417C2212yescomplemented
200#2415C2212yes—
201#2415C2212yescomplemented
202#2415C2212yescomplemented
203#2415C2212yescomplemented
204#2405C2212yes—
205#2395C2212yes—
206#2395C2212yescomplemented
207#2378C2214yescomplemented
208#2376C2212yes—
209#2374C2212yes—
210#2373C2214yescomplemented
211#2373C2214yescomplemented
212#2372C2212yes—
213#2371C2214yescomplemented
214#2369C2212yescomplemented
215#2368C2214yescomplemented
216#2367C2214yescomplemented
217#2365C2214yescomplemented
218#2362C2212yescomplemented
219#2362C2212yescomplemented
220#2362C2212yescomplemented
221#2360C2214yescomplemented
222#2360C2212yescomplemented
223#2354C2212yes—
224#2354C2212yescomplemented
225#2352C2212yescomplemented
226#2351C2212yescomplemented
227#2347C2212yescomplemented
228#2346C2212yescomplemented
229#2334C2214yescomplemented
230#2334C2214yescomplemented
231#2332C2214yescomplemented
232#2331C2214yescomplemented
233#2330C2214yescomplemented
234#2326C2212yes—
235#2326C2212yescomplemented
236#2325C2212yes—
237#2325C2212yes—
238#2322C2211yescharacteristic
239#2322C2211yescharacteristic
240#2322C2212yes—
241#2321C2212yes—
242#2321C2211yescharacteristic
243#2321C2211yescharacteristic
244#2315C2211yescharacteristic
245#2308C2211yescharacteristic
246#2308C2211yescharacteristic
247C4×C22⋊Q8C2212yescomplemented
248C4×C22⋊Q8C2212yescomplemented
249C4×C22⋊Q8C2214yescomplemented
250C4×#123C2211yescharacteristic
251C4×#123C2212yes—
252C4×#123C2211yescharacteristic
253C4×#123C2212yes—
254C4×#123C2212yescomplemented
255C4×#121C2212yes—
256C4×#121C2212yes—
257C4×#120C2211yescharacteristic
258C4×#120C2212yes—
259C4×#120C2211yescharacteristic
260#2296C2212yescomplemented
261#2283C2212yescomplemented
262#2283C2211yescharacteristic, complemented
263#2280C2212yes—
264#2280C2212yescomplemented
265#2280C2211yescharacteristic, complemented
266C2×C4×C22⋊C4C2211yescharacteristic
267C23×D4C2311yescharacteristic
268C23×D4C2311yescharacteristic
269C24×C4C2311yescharacteristic
270C24×C4C2311yescharacteristic
271C24×C4C2311yescharacteristic
272#563—216no—
273#556—48no—
274#534—28no—
275#533—44no—
276C2×C4⋊Q8C2314yes—
277C2×C4⋊Q8C2312yes—
278C2×C4⋊Q8C2312yes—
279C2×C4⋊Q8C2311yescharacteristic
280C2×C4⋊Q8C2311yescharacteristic
281C2×#126C2314yes—
282C2×#126C2314yes—
283C2×#126C2314yes—
284C2×#126C2314yes—
285C2×#125C2314yes—
286C2×#125C2312yes—
287C2×#124C2312yes—
288C2×#124C2312yes—
289C2×#124C2314yes—
290C2×#124C2314yes—
291C2×#123C2311yescharacteristic
292C2×#123C2312yes—
293C2×#123C2312yes—
294C2×#123C2312yes—
295C2×#123C2311yescharacteristic
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2314yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2312yes—
307C2×#121C2312yes—
308C2×#121C2312yes—
309C2×#120C2311yescharacteristic
310C2×#120C2311yescharacteristic
311C2×#120C2312yes—
312C2×C4×Q8C2312yes—
313C2×C4×Q8C2314yes—
314C2×C4×Q8C2312yes—
315C2×C4×Q8C2312yes—
316C2×C4×Q8C2312yes—
317C2×C4×D4—44no—
318C2×C4×D4—44no—
319C2×C4×D4C2312yes—
320C2×C4×D4C2312yes—
321C2×C4×D4C2311yescharacteristic
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2312yes—
324C2×C4×D4C2311yescharacteristic
325C2×C4×D4C2312yes—
326C2×C4×D4C2311yescharacteristic
327C2×C4×D4C2312yes—
328C2×C4×D4C2312yes—
329C2×C4×D4C2311yescharacteristic
330C2×C4×D4C2311yescharacteristic
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2311yescharacteristic
333C2×#117—44no—
334C2×#117C2312yes—
335C2×#117C2312yes—
336C2×#117C2312yes—
337C2×#117C2312yes—
338C2×#117C2312yes—
339C2×#117C2312yes—
340C2×#117C2312yes—
341C2×#117C2312yes—
342C22×C4⋊C4C2311yescharacteristic
343C22×C4⋊C4C2311yescharacteristic
344C22×C4⋊C4C2311yescharacteristic
345C22×C4⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2311yescharacteristic
351C22×C22⋊C4C2311yescharacteristic
352C22×C22⋊C4C2312yes—
353C22×C42C2311yescharacteristic
354C22×C42C2312yes—
355C22×C42C2312yes—
356C22×C42C2311yescharacteristic
357#401C2314yes—
358#401C2314yes—
359#401C2314yes—
360#401C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2312yes—
370#400C2312yes—
371#400C2314yes—
372#400C2314yes—
373#399C2312yes—
374#399C2314yes—
375#399C2312yes—
376#399C2314yes—
377#399C2312yes—
378#399C2312yes—
379#399C2312yes—
380#399C2312yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2312yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2312yes—
393#398C2314yes—
394#398C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2312yes—
398#397C2312yes—
399#397C2314yes—
400#397C2312yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2312yes—
411#397C2312yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2312yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#395C2314yes—
430#395C2314yes—
431#395C2314yes—
432#395C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#393C2314yes—
446#393C2314yes—
447#393C2314yes—
448#393C2314yes—
449#393C2314yes—
450#393C2314yes—
451#393C2314yes—
452#393C2314yes—
453#391C2312yes—
454#391C2312yes—
455#391C2314yes—
456#391C2314yes—
457#391C2314yes—
458#391C2314yes—
459#391C2314yes—
460#391C2314yes—
461#391C2314yes—
462#391C2314yes—
463#391C2314yes—
464#391C2312yes—
465#391C2312yes—
466#391C2314yes—
467#391C2314yes—
468#391C2312yes—
469#391C2314yes—
470#391C2312yes—
471#390C2314yes—
472#390C2312yes—
473#390C2312yes—
474#390C2312yes—
475#390C2312yes—
476#390C2314yes—
477#390C2314yes—
478#390C2314yes—
479#389C2312yes—
480#389C2312yes—
481#389C2314yes—
482#389C2312yes—
483#389C2312yes—
484#389C2314yes—
485#389C2314yes—
486#389C2314yes—
487#389C2314yes—
488#389C2314yes—
489#389C2314yes—
490#389C2314yes—
491#389C2314yes—
492#389C2314yes—
493#389C2314yes—
494#389C2312yes—
495#389C2312yes—
496#389C2314yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2314yes—
503#389C2314yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2312yes—
516#388C2312yes—
517#388C2312yes—
518#388C2312yes—
519#388C2312yes—
520#388C2312yes—
521#388C2312yes—
522#388C2312yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2312yes—
563#387C2312yes—
564#387C2312yes—
565#387C2312yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#386C2312yes—
596#386C2311yescharacteristic
597#386C2312yes—
598#386C2311yescharacteristic
599#386C2311yescharacteristic
600#386C2311yescharacteristic
601#386C2312yes—
602#386C2312yes—
603#386C2312yes—
604#386C2312yes—
605#386C2312yes—
606#386C2312yes—
607#386C2314yes—
608#386C2312yes—
609#386C2312yes—
610#386C2312yes—
611#386C2314yes—
612#386C2312yes—
613#385C2311yescharacteristic
614#385C2312yes—
615#385C2311yescharacteristic
616#385C2311yescharacteristic
617#385C2311yescharacteristic
618#385C2312yes—
619#385C2314yes—
620#385C2312yes—
621#385C2314yes—
622#385C2312yes—
623#385C2312yes—
624#385C2312yes—
625#385C2312yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2312yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#384C2312yes—
642#384C2312yes—
643#384C2312yes—
644#384C2312yes—
645#383C2314yes—
646#383C2314yes—
647#383C2312yes—
648#382C2314yes—
649#382C2312yes—
650#382C2312yes—
651#382C2314yes—
652#382C2314yes—
653#382C2312yes—
654#381C2314yes—
655#381C2314yes—
656#381C2311yescharacteristic
657#381C2311yescharacteristic
658#381C2312yes—
659#381C2314yes—
660#381C2314yes—
661#381C2312yes—
662#381C2312yes—
663#381C2312yes—
664#381C2312yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2314yes—
679#380C2314yes—
680#380C2312yes—
681#380C2314yes—
682#380C2312yes—
683#380C2311yescharacteristic
684#380C2312yes—
685#380C2311yescharacteristic
686#379C2314yes—
687#379C2314yes—
688#379C2311yescharacteristic
689#379C2312yes—
690#379C2311yescharacteristic
691#379C2314yes—
692#379C2314yes—
693#379C2312yes—
694#379C2314yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2314yes—
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2314yes—
703C4×C4⋊C4C2314yes—
704C4×C4⋊C4C2314yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2314yes—
708C4×C4⋊C4C2311yescharacteristic
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2314yes—
712C4×C4⋊C4C2311yescharacteristic
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2311yescharacteristic
720C4×C22⋊C4C2311yescharacteristic
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2312yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2314yes—
734C4×C22⋊C4C2311yescharacteristic
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2311yescharacteristic
737#376C2312yes—
738#376C2314yes—
739#376C2314yes—
740C2×#95C2312yes—
741C25C2411yescharacteristic
742C25C2411yescharacteristic
743C25C2411yescharacteristic
744C22×Q8C2412yes—
745C22×Q8C2414yes—
746C22×Q8C2412yes—
747C22×Q8C2414yes—
748C22×D4—24no—
749C22×D4—24no—
750C22×D4—42no—
751C22×D4—42no—
752C22×D4—42no—
753C22×D4—42no—
754C22×D4C2412yes—
755C22×D4C2411yescharacteristic
756C22×D4C2411yescharacteristic
757C22×D4C2412yes—
758C22×D4C2411yescharacteristic
759C22×D4C2412yes—
760C22×D4C2412yes—
761C22×D4C2411yescharacteristic
762C23×C4—24no—
763C23×C4—24no—
764C23×C4—44no—
765C23×C4—42no—
766C23×C4—44no—
767C23×C4—44no—
768C23×C4C2411yescharacteristic
769C23×C4C2411yescharacteristic
770C23×C4C2412yes—
771C23×C4C2411yescharacteristic
772C23×C4C2411yescharacteristic
773C23×C4C2411yescharacteristic
774C23×C4C2411yescharacteristic
775C23×C4C2411yescharacteristic
776C23×C4C2411yescharacteristic
777C23×C4C2411yescharacteristic
778C23×C4C2411yescharacteristic
779C23×C4C2412yes—
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2411yescharacteristic
783C23×C4C2411yescharacteristic
784C23×C4C2411yescharacteristic
785C23×C4C2411yescharacteristic
786C23×C4C2411yescharacteristic
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2411yescharacteristic
790C4⋊Q8—216no—
791C4⋊Q8—44no—
792C4⋊Q8—42no—
793C4⋊Q8—44no—
794C4⋊Q8—42no—
795#126—216no—
796#126—216no—
797#126—48no—
798#126—48no—
799#125—216no—
800#125—44no—
801#124—28no—
802#124—48no—
803#124—44no—
804#124—48no—
805#123—28no—
806#123—24no—
807#123—28no—
808#123—44no—
809#123#4118yes—
810C22⋊Q8—216no—
811C22⋊Q8—28no—
812C22⋊Q8—216no—
813C22⋊Q8—48no—
814C22⋊Q8—44no—
815C22⋊Q8—44no—
816C22⋊Q8—44no—
817C22⋊Q8—44no—
818C22⋊Q8—44no—
819C22⋊Q8—44no—
820C22⋊Q8—44no—
821#121—28no—
822#121—28no—
823#120—24no—
824#120—28no—
825#120—24no—
826C4×Q8—44no—
827C4×Q8—48no—
828C4×Q8—44no—
829C4×Q8—44no—
830C4×Q8—44no—
831C4×D4—28no—
832C4×D4—42no—
833C4×D4—42no—
834C4×D4—42no—
835C4×D4—42no—
836C4×D4—42no—
837C4×D4—42no—
838C4×D4—42no—
839C4×D4—42no—
840C4×D4—44no—
841C4×D4—44no—
842C4×D4—44no—
843C4×D4—44no—
844C4×D4—44no—
845#117—28no—
846#117—44no—
847#117—44no—
848#117—44no—
849#117—44no—
850#117—44no—
851#117—44no—
852#117—44no—
853C2×C4⋊C4—42no—
854C2×C4⋊C4—42no—
855C2×C4⋊C4—42no—
856C2×C4⋊C4—42no—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C22⋊C4—24no—
910C2×C22⋊C4—42no—
911C2×C22⋊C4—44no—
912C2×C22⋊C4—42no—
913C2×C22⋊C4—42no—
914C2×C22⋊C4—42no—
915C2×C22⋊C4—42no—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2411yescharacteristic
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2411yescharacteristic
933C2×C22⋊C4C2411yescharacteristic
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2411yescharacteristic
936C2×C22⋊C4C2411yescharacteristic
937C2×C22⋊C4C2411yescharacteristic
938C2×C22⋊C4C2411yescharacteristic
939C2×C22⋊C4C2411yescharacteristic
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2411yescharacteristic
942C2×C22⋊C4C2411yescharacteristic
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2411yescharacteristic
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2412yes—
974C2×C42—24no—
975C2×C42—44no—
976C2×C42—42no—
977C2×C42—44no—
978C2×C42C2414yes—
979C2×C42C2411yescharacteristic
980C2×C42C2411yescharacteristic
981C2×C42C2412yes—
982C2×C42C2411yescharacteristic
983C2×C42C2411yescharacteristic
984C2×C42C2412yes—
985C2×C42C2412yes—
986C2×C42C2412yes—
987C2×C42C2414yes—
988C2×C42C2414yes—
989C2×C42C2414yes—
990C2×C42C2414yes—
991C2×C42C2414yes—
992C2×C42C2414yes—
993C2×C42C2412yes—
994C2×C42C2414yes—
995C2×C42C2414yes—
996C2×C42C2412yes—
997C2×C42C2414yes—
998C2×C42C2412yes—
999C2×C42C2414yes—
1000C2×C42C2414yes—
1001C2×C42C2412yes—
1002#95C2412yes—
1003#95C2412yes—
1004#95C2412yes—
1005#95C2412yes—
1006#95C2412yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066C24—22no—
1067C24—22no—
1068C24—22no—
1069C24—22no—
1070C24—22no—
1071C24—22no—
1072C24—41no—
1073C24—42no—
1074C24—41no—
1075C24—41no—
1076C24—42no—
1077C24—42no—
1078C24—42no—
1079C24—42no—
1080C24—42no—
1081C24C2512yes—
1082C24C2511yescharacteristic
1083C24C2511yescharacteristic
1084C24C2511yescharacteristic
1085C24C2511yescharacteristic
1086C24C2511yescharacteristic
1087C2×Q8—28no—
1088C2×Q8—24no—
1089C2×Q8—24no—
1090C2×Q8—24no—
1091C2×Q8—24no—
1092C2×Q8—42no—
1093C2×Q8—44no—
1094C2×Q8—42no—
1095C2×Q8—44no—
1096C2×Q8—44no—
1097C2×Q8—44no—
1098C2×Q8—44no—
1099C2×D4—22no—
1100C2×D4—22no—
1101C2×D4—24no—
1102C2×D4—22no—
1103C2×D4—24no—
1104C2×D4—22no—
1105C2×D4—24no—
1106C2×D4—24no—
1107C2×D4—22no—
1108C2×D4—24no—
1109C2×D4—24no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—42no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—42no—
1117C2×D4—41no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—416no—
1123C2×D4—416no—
1124C2×D4C2×#4114yes—
1125C22×C4—24no—
1126C22×C4—22no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—24no—
1130C22×C4—22no—
1131C22×C4—24no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—24no—
1139C22×C4—22no—
1140C22×C4—24no—
1141C22×C4—24no—
1142C22×C4—24no—
1143C22×C4—24no—
1144C22×C4—24no—
1145C22×C4—24no—
1146C22×C4—24no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—41no—
1150C22×C4—42no—
1151C22×C4—42no—
1152C22×C4—42no—
1153C22×C4—42no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—42no—
1158C22×C4—42no—
1159C22×C4—42no—
1160C22×C4—42no—
1161C22×C4—41no—
1162C22×C4—42no—
1163C22×C4—42no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—42no—
1171C22×C4—42no—
1172C22×C4—44no—
1173C22×C4—42no—
1174C22×C4—416no—
1175C22×C4—88no—
1176C22×C4—88no—
1177C22×C4C2×#4114yes—
1178C22×C4H(5,𝔽2)14yes—
1179C22×C4C2512yes—
1180C22×C4C2512yes—
1181C22×C4C2511yescharacteristic
1182C22×C4C2512yes—
1183C22×C4C2514yes—
1184C22×C4C2514yes—
1185C22×C4C2511yescharacteristic
1186C22×C4C2514yes—
1187C22×C4C2511yescharacteristic
1188C22×C4C2512yes—
1189C22×C4C2511yescharacteristic
1190C22×C4C2514yes—
1191C22×C4C2514yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2512yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2511yescharacteristic
1196C22×C4C2514yes—
1197C22×C4C2514yes—
1198C22×C4C2514yes—
1199C22×C4C2512yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C4⋊C4—24no—
1205C4⋊C4—28no—
1206C4⋊C4—28no—
1207C4⋊C4—28no—
1208C4⋊C4—28no—
1209C4⋊C4—28no—
1210C4⋊C4—28no—
1211C4⋊C4—28no—
1212C4⋊C4—24no—
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—28no—
1217C4⋊C4—24no—
1218C4⋊C4—24no—
1219C4⋊C4—24no—
1220C4⋊C4—24no—
1221C4⋊C4—42no—
1222C4⋊C4—42no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—42no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—42no—
1229C4⋊C4—44no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—42no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4C2×#4118yes—
1256C22⋊C4—22no—
1257C22⋊C4—28no—
1258C22⋊C4—28no—
1259C22⋊C4—28no—
1260C22⋊C4—24no—
1261C22⋊C4—28no—
1262C22⋊C4—24no—
1263C22⋊C4—28no—
1264C22⋊C4—28no—
1265C22⋊C4—28no—
1266C22⋊C4—24no—
1267C22⋊C4—24no—
1268C22⋊C4—24no—
1269C22⋊C4—24no—
1270C22⋊C4—24no—
1271C22⋊C4—41no—
1272C22⋊C4—42no—
1273C22⋊C4—41no—
1274C22⋊C4—44no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—42no—
1284C22⋊C4—42no—
1285C22⋊C4—42no—
1286C22⋊C4—42no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—42no—
1294C22⋊C4—42no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—42no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4C2×#4114yes—
1313C22⋊C4C2×#4118yes—
1314C42—24no—
1315C42—28no—
1316C42—22no—
1317C42—22no—
1318C42—22no—
1319C42—22no—
1320C42—28no—
1321C42—24no—
1322C42—24no—
1323C42—24no—
1324C42—42no—
1325C42—42no—
1326C42—44no—
1327C42—42no—
1328C42—44no—
1329C42—44no—
1330C42—44no—
1331C42—44no—
1332C42—44no—
1333C42—44no—
1334C42—44no—
1335C42—44no—
1336C42—42no—
1337C42—44no—
1338C23—28no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—22no—
1345C23—22no—
1346C23—22no—
1347C23—22no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—22no—
1355C23—21no—
1356C23—22no—
1357C23—22no—
1358C23—21no—
1359C23—22no—
1360C23—21no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—44no—
1368C23—44no—
1369C23—44no—
1370C23—82no—
1371C23—84no—
1372C23—84no—
1373C23—84no—
1374C23—82no—
1375C23—82no—
1376C23—84no—
1377C23—82no—
1378C23—82no—
1379C23—84no—
1380C23—84no—
1381C23C22×#4112yes—
1382C23C22×#4112yes—
1383C23C2×H(5,𝔽2)12yes—
1384C23#58512yes—
1385C23C2611yescharacteristic
1386Q8—48no—
1387Q8—88no—
1388Q8—84no—
1389Q8—164no—
1390D4—44no—
1391D4—48no—
1392D4—44no—
1393D4—48no—
1394D4—44no—
1395D4—44no—
1396D4—84no—
1397D4—84no—
1398C2×C4—21no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—21no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—28no—
1406C2×C4—24no—
1407C2×C4—24no—
1408C2×C4—24no—
1409C2×C4—22no—
1410C2×C4—21no—
1411C2×C4—24no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—24no—
1416C2×C4—22no—
1417C2×C4—24no—
1418C2×C4—21no—
1419C2×C4—24no—
1420C2×C4—24no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—24no—
1429C2×C4—24no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—24no—
1434C2×C4—24no—
1435C2×C4—24no—
1436C2×C4—24no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—24no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—44no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—44no—
1469C2×C4—48no—
1470C2×C4—44no—
1471C2×C4—84no—
1472C2×C4—82no—
1473C2×C4—82no—
1474C2×C4—84no—
1475C2×C4—84no—
1476C2×C4—82no—
1477C2×C4—84no—
1478C2×C4—82no—
1479C2×C4—82no—
1480C2×C4—84no—
1481C2×C4C22×#4114yes—
1482C2×C4C22×#4112yes—
1483C2×C4C22×#4114yes—
1484C2×C4C2×H(5,𝔽2)12yes—
1485C2×C4C2×H(5,𝔽2)12yes—
1486C2×C4#58514yes—
1487C22—22no—
1488C22—24no—
1489C22—24no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—24no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—42no—
1500C22—42no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—42no—
1505C22—42no—
1506C22—42no—
1507C22—41no—
1508C22—42no—
1509C22—42no—
1510C22—42no—
1511C22—42no—
1512C22—42no—
1513C22—41no—
1514C22—42no—
1515C22—41no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22—88no—
1520C22—88no—
1521C22—88no—
1522C22C23×#4111yescharacteristic
1523C22C22×H(5,𝔽2)11yescharacteristic
1524C22C2×#58512yes—
1525C22C2×#58511yescharacteristic
1526C222−1+612yes—
1527C4—22no—
1528C4—24no—
1529C4—22no—
1530C4—24no—
1531C4—41no—
1532C4—41no—
1533C4—42no—
1534C4—41no—
1535C4—41no—
1536C4—44no—
1537C4—44no—
1538C4—44no—
1539C4—42no—
1540C4—41no—
1541C4—44no—
1542C4—44no—
1543C4—41no—
1544C4—41no—
1545C4—44no—
1546C4—42no—
1547C4—42no—
1548C4—42no—
1549C4—44no—
1550C4—44no—
1551C4#353314yes—
1552C2—42no—
1553C2—42no—
1554C2—42no—
1555C2—42no—
1556C2—81no—
1557C2—82no—
1558C2C2×#353311yescharacteristic
1559C2#6277311yescharacteristic
1560C2#6288611yescharacteristic
1561C2#6291112yes—
1562C2#6299512yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#534C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59629C2semidirect
2. #59296C2semidirect
3. #59221C2semidirect
4. #59202C2semidirect
5. #59114C2semidirect
7. #49218C2semidirect
8. #48997C2semidirect
9. #47335C2semidirect
10. #47151C2semidirect
11. #47035C2semidirect
12. #45631C2semidirect
13. #45622C2semidirect
14. #45488C2semidirect
15. #44668C2semidirect
16. #41837C2semidirect
17. #41669C2semidirect
18. #40369C2semidirect
19. #40070C2semidirect
20. #39911C2semidirect
21. #39911C2semidirect
22. #39787C2semidirect
23. #39158C2semidirect
24. #37099C2semidirect
25. #36439C2semidirect
26. #36204C2semidirect
27. #36161C2semidirect
28. #35240C2semidirect
29. #34809C2semidirect
30. #34514C2semidirect
35. C2×#533C22semidirect
38. C22×#117C22semidirect
39. #2857C22semidirect
40. #2857C22semidirect
41. #2855C22semidirect
42. #2852C22semidirect
44. #2848C22semidirect
45. #2848C22semidirect
46. #2836C22semidirect
47. #2834C22semidirect
48. #2817C22semidirect
49. #2807C22semidirect
50. #2806C22semidirect
52. #2798C22semidirect
53. #2793C22semidirect
54. #2790C22semidirect
55. #2789C22semidirect
56. #2787C22semidirect
58. #2776C22semidirect
59. #2773C22semidirect
60. #2768C22semidirect
61. #2765C22semidirect
62. #2765C22semidirect
63. #2765C22semidirect
64. #2759C22semidirect
65. #2759C22semidirect
66. #2757C22semidirect
69. #2751C22semidirect
70. #2751C22semidirect
71. #2747C22semidirect
72. #2746C22semidirect
73. #2736C22semidirect
74. #2736C22semidirect
75. #2735C22semidirect
76. #2735C22semidirect
77. #2722C22semidirect
79. #2713C22semidirect
81. #2700C22semidirect
82. #2700C22semidirect
83. #2700C22semidirect
84. #2698C22semidirect
86. #2689C22semidirect
87. #2687C22semidirect
95. #2653C22semidirect
96. #2651C22semidirect
97. #2644C22semidirect
99. #2633C22semidirect
100. #2607C22semidirect
101. #2601C22semidirect
102. #2599C22semidirect
103. #2597C22semidirect
104. #2597C22semidirect
105. #2594C22semidirect
106. #2589C22semidirect
107. #2589C22semidirect
108. #2589C22semidirect
109. #2585C22semidirect
110. #2576C22semidirect
111. #2576C22semidirect
112. #2573C22semidirect
113. #2570C22semidirect
114. #2563C22semidirect
118. #2551C22semidirect
120. #2547C22semidirect
121. #2547C22semidirect
123. #2542C22semidirect
124. #2538C22semidirect
126. #2536C22semidirect
127. #2536C22semidirect
128. #2532C22semidirect
129. #2529C22semidirect
130. #2527C22semidirect
131. #2527C22semidirect
132. #2527C22semidirect
133. #2526C22semidirect
134. #2525C22semidirect
135. #2523C22semidirect
136. #2522C22semidirect
137. #2519C22semidirect
138. #2517C22semidirect
139. #2516C22semidirect
140. #2516C22semidirect
141. #2514C22semidirect
142. #2511C22semidirect
143. #2509C22semidirect
144. #2506C22semidirect
145. #2502C22semidirect
146. #2499C22semidirect
147. #2496C22semidirect
148. #2496C22semidirect
149. #2494C22semidirect
150. #2494C22semidirect
151. #2494C22semidirect
152. #2494C22semidirect
153. #2494C22semidirect
154. #2493C22semidirect
155. #2492C22semidirect
156. #2492C22semidirect
159. #2487C22semidirect
161. #2486C22semidirect
164. #2485C22semidirect
165. #2485C22semidirect
166. #2485C22semidirect
167. #2484C22semidirect
168. #2483C22semidirect
171. #2482C22semidirect
174. #2480C22semidirect
175. #2480C22semidirect
176. #2478C22semidirect
177. #2478C22semidirect
181. #2469C22semidirect
183. #2466C22semidirect
184. #2462C22semidirect
185. #2451C22semidirect
187. #2446C22semidirect
188. #2440C22semidirect
189. #2439C22semidirect
190. #2439C22semidirect
191. #2439C22semidirect
192. #2439C22semidirect
195. #2429C22semidirect
196. #2423C22semidirect
197. #2423C22semidirect
198. #2421C22semidirect
199. #2417C22semidirect
201. #2415C22semidirect
202. #2415C22semidirect
203. #2415C22semidirect
206. #2395C22semidirect
207. #2378C22semidirect
210. #2373C22semidirect
211. #2373C22semidirect
213. #2371C22semidirect
214. #2369C22semidirect
215. #2368C22semidirect
216. #2367C22semidirect
217. #2365C22semidirect
218. #2362C22semidirect
219. #2362C22semidirect
220. #2362C22semidirect
221. #2360C22semidirect
222. #2360C22semidirect
224. #2354C22semidirect
225. #2352C22semidirect
226. #2351C22semidirect
227. #2347C22semidirect
228. #2346C22semidirect
229. #2334C22semidirect
230. #2334C22semidirect
231. #2332C22semidirect
232. #2331C22semidirect
233. #2330C22semidirect
235. #2326C22semidirect
247. C4×C22⋊Q8C22semidirect
248. C4×C22⋊Q8C22semidirect
249. C4×C22⋊Q8C22semidirect
254. C4×#123C22semidirect
260. #2296C22semidirect
261. #2283C22semidirect
262. #2283C22semidirect
264. #2280C22semidirect
265. #2280C22semidirect

Maximal subgroups

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

subgroupindex
#596292
#592962
#592212
#592022
#591142
#508672
#492182
#489972
#473352
#471512
#470352
#456312
#456222
#454882
#446682
#418372
#416692
#403692
#400702
#399112
#397872
#391582
#370992
#364392
#362042
#361612
#352402
#348092
#345142
C4×#5342