Finite Group Databasebeta

← #8108403

Subgroups — #8108403

Order 512.

6134 conjugacy classes of subgroups.

The subgroup lattice has 1540 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60037C211yesmaximal, characteristic, complemented
2#60031C213yesmaximal, complemented
3#53179C211yesmaximal, characteristic, complemented
4#53178C213yesmaximal, complemented
5#53169C211yesmaximal, characteristic, complemented
6#53158C213yesmaximal, complemented
7#45660C213yesmaximal, complemented
8#45638C213yesmaximal, complemented
9#45615C213yesmaximal, complemented
10#45591C213yesmaximal, complemented
11#38015C213yesmaximal, complemented
12#38014C213yesmaximal, complemented
13#37991C213yesmaximal, complemented
14#37990C213yesmaximal, complemented
15#37825C213yesmaximal, complemented
16#37824C213yesmaximal, complemented
17#37801C213yesmaximal, complemented
18#37800C213yesmaximal, complemented
19#36734C213yesmaximal, complemented
20#36733C213yesmaximal, complemented
21#36724C213yesmaximal, complemented
22#36723C213yesmaximal, complemented
23#36614C213yesmaximal, complemented
24C25×C4C2211yescharacteristic, complemented
25C2×#539C2213yescomplemented
26C2×#538C2213yescomplemented
27C2×#525C2213yes—
28C2×#525C2213yes—
29C2×#525C2213yes—
30#2849C2213yes—
31#2849C2213yes—
32#2849C2213yes—
33#2849C2213yescomplemented
34#2849C2213yescomplemented
35#2849C2213yescomplemented
36#2848C2213yescomplemented
37#2848C2213yescomplemented
38#2848C2213yescomplemented
39#2848C2213yescomplemented
40#2847C2213yes—
41#2847C2213yes—
42#2847C2213yes—
43#2847C2213yes—
44#2846C2213yes—
45#2846C2213yescomplemented
46#2834C2211yescharacteristic, complemented
47#2827C2213yescomplemented
48#2826C2213yescomplemented
49#2825C2211yescharacteristic, complemented
50#2788C2213yescomplemented
51#2781C2213yescomplemented
52#2779C2213yescomplemented
53#2778C2213yescomplemented
54#2768C2213yescomplemented
55#2756C2213yescomplemented
56#2746C2213yescomplemented
57#2745C2213yescomplemented
58#2744C2213yescomplemented
59#2743C2213yescomplemented
60#2742C2213yescomplemented
61#2741C2213yescomplemented
62#2741C2213yescomplemented
63#2736C2213yescomplemented
64#2735C2213yescomplemented
65#2735C2213yescomplemented
66#2735C2213yescomplemented
67#2732C2213yescomplemented
68#2728C2213yescomplemented
69#2723C2213yescomplemented
70#2722C2213yescomplemented
71#2715C2213yescomplemented
72#2711C2213yescomplemented
73#2708C2213yescomplemented
74#2707C2213yescomplemented
75#2706C2213yescomplemented
76#2705C2213yescomplemented
77#2704C2213yescomplemented
78#2703C2213yescomplemented
79#2702C2213yescomplemented
80#2701C2213yescomplemented
81#2700C2213yescomplemented
82#2699C2213yescomplemented
83#2698C2213yescomplemented
84#2697C2213yes—
85#2697C2213yescomplemented
86#2697C2213yescomplemented
87#2695C2213yescomplemented
88#2692C2213yescomplemented
89#2692C2213yescomplemented
90#2691C2213yescomplemented
91#2690C2213yescomplemented
92#2687C2213yescomplemented
93#2685C2213yes—
94#2685C2213yes—
95#2685C2213yes—
96#2685C2213yes—
97#2685C2213yes—
98#2685C2213yes—
99#2685C2213yes—
100#2685C2213yes—
101#2685C2213yescomplemented
102#2685C2213yescomplemented
103#2684C2213yes—
104#2684C2213yescomplemented
105#2684C2213yescomplemented
106#2683C2213yescomplemented
107#2682C2213yescomplemented
108#2681C2213yescomplemented
109#2681C2213yescomplemented
110#2681C2213yescomplemented
111#2680C2213yescomplemented
112#2679C2213yes—
113#2679C2213yes—
114#2679C2211yescharacteristic
115#2678C2213yes—
116#2678C2213yes—
117#2678C2213yes—
118#2678C2213yes—
119#2678C2213yescomplemented
120#2678C2213yescomplemented
121#2678C2213yescomplemented
122#2673C2213yescomplemented
123#2672C2213yescomplemented
124#2671C2213yescomplemented
125#2670C2213yes—
126#2670C2213yes—
127#2670C2213yescomplemented
128#2669C2213yes—
129#2669C2213yes—
130#2669C2213yes—
131#2669C2213yescomplemented
132#2668C2213yes—
133#2668C2213yes—
134#2668C2213yescomplemented
135#2668C2213yescomplemented
136#2667C2213yescomplemented
137#2665C2213yescomplemented
138#2663C2213yescomplemented
139#2661C2213yescomplemented
140#2638C2213yescomplemented
141#2635C2213yescomplemented
142#2630C2213yescomplemented
143#2630C2213yescomplemented
144#2611C2213yescomplemented
145#2610C2213yescomplemented
146#2603C2213yescomplemented
147#2603C2213yescomplemented
148#2601C2213yescomplemented
149#2601C2213yescomplemented
150#2600C2213yescomplemented
151#2600C2213yescomplemented
152#2595C2213yescomplemented
153#2595C2213yescomplemented
154#2589C2213yescomplemented
155#2589C2213yescomplemented
156#2579C2213yescomplemented
157#2576C2213yescomplemented
158#2576C2213yescomplemented
159#2566C2213yescomplemented
160#2560C2213yescomplemented
161#2559C2213yescomplemented
162#2559C2213yescomplemented
163#2559C2213yescomplemented
164#2558C2213yescomplemented
165#2557C2213yescomplemented
166#2556C2213yescomplemented
167#2555C2213yescomplemented
168#2554C2213yescomplemented
169#2553C2213yescomplemented
170#2544C2213yescomplemented
171#2534C2213yescomplemented
172#2531C2213yescomplemented
173#2530C2213yescomplemented
174#2527C2213yescomplemented
175#2526C2213yescomplemented
176#2522C2213yescomplemented
177#2521C2213yescomplemented
178#2516C2213yescomplemented
179#2515C2213yescomplemented
180#2479C2213yescomplemented
181#2478C2213yescomplemented
182#2477C2213yescomplemented
183#2476C2213yescomplemented
184#2475C2213yescomplemented
185#2474C2213yescomplemented
186#2471C2213yescomplemented
187#2470C2213yescomplemented
188#2468C2213yescomplemented
189#2468C2213yescomplemented
190#2467C2213yescomplemented
191#2467C2213yescomplemented
192#2466C2213yescomplemented
193#2466C2213yescomplemented
194#2463C2213yescomplemented
195#2460C2213yescomplemented
196#2460C2213yescomplemented
197#2459C2213yescomplemented
198#2459C2213yescomplemented
199#2457C2213yescomplemented
200#2457C2213yescomplemented
201#2456C2213yescomplemented
202#2456C2213yescomplemented
203#2455C2213yescomplemented
204#2454C2213yescomplemented
205#2449C2213yescomplemented
206#2447C2213yescomplemented
207#2443C2213yescomplemented
208#2427C2213yescomplemented
209#2424C2213yescomplemented
210#2420C2213yescomplemented
211#2418C2213yescomplemented
212#2407C2213yescomplemented
213#2407C2213yescomplemented
214#2406C2213yescomplemented
215#2404C2213yescomplemented
216#2383C2211yescharacteristic, complemented
217#2379C2213yescomplemented
218#2377C2213yescomplemented
219#2375C2211yescharacteristic, complemented
220#2374C2213yescomplemented
221#2373C2213yescomplemented
222#2373C2213yescomplemented
223#2372C2213yescomplemented
224#2366C2213yescomplemented
225#2361C2213yescomplemented
226#2361C2213yescomplemented
227#2358C2213yescomplemented
228#2335C2213yescomplemented
229#2335C2213yescomplemented
230#2333C2213yescomplemented
231#2332C2213yescomplemented
232#2319C2213yescomplemented
233#2319C2213yescomplemented
234C4×#120C2213yes—
235C4×#120C2213yes—
236C4×#120C2213yes—
237C4×#120C2213yes—
238C4×#120C2213yescomplemented
239C4×#120C2213yescomplemented
240C4×#120C2213yescomplemented
241C4×#120C2213yescomplemented
242#2280C2213yescomplemented
243#2280C2213yescomplemented
244#2280C2213yescomplemented
245C26C2311yescharacteristic
246C22×#41C2313yes—
247C24×C4—412no—
248C24×C4C2313yes—
249C24×C4C2313yes—
250C24×C4C2313yes—
251C24×C4C2311yescharacteristic
252C24×C4C2313yes—
253C24×C4C2311yescharacteristic
254#539—412no—
255#538—412no—
256C2×#127C2313yes—
257C2×#126C2313yes—
258C2×#126C2313yes—
259C2×#126C2311yescharacteristic
260C2×#126C2313yes—
261C2×#126C2313yescomplemented
262C2×#126C2313yescomplemented
263C2×#126C2313yescomplemented
264C2×#125C2313yescomplemented
265C2×#125C2313yescomplemented
266C2×#124C2313yes—
267C2×#124C2313yes—
268C2×#124C2313yes—
269C2×#124C2313yescomplemented
270#525—412no—
271#525—412no—
272#525—412no—
273C2×#123C2313yes—
274C2×#123C2313yes—
275C2×#123C2313yes—
276C2×#123C2313yes—
277C2×#123C2313yes—
278C2×#123C2313yes—
279C2×#123C2313yes—
280C2×#123C2313yes—
281C2×#123C2313yes—
282C2×#123C2313yescomplemented
283C2×#123C2313yescomplemented
284C2×C22⋊Q8C2313yes—
285C2×C22⋊Q8C2313yes—
286C2×C22⋊Q8C2313yes—
287C2×C22⋊Q8C2313yes—
288C2×C22⋊Q8C2313yes—
289C2×C22⋊Q8C2313yes—
290C2×C22⋊Q8C2313yescomplemented
291C2×C22⋊Q8C2313yescomplemented
292C2×C22⋊Q8C2313yescomplemented
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×#120C2313yes—
306C2×#120C2313yes—
307C2×#120C2313yes—
308C2×#120C2313yes—
309C2×#120C2313yes—
310C2×#120C2313yes—
311C2×#120C2313yes—
312C2×#120C2313yes—
313C2×#120C2313yes—
314C2×#120C2313yes—
315C2×#120C2313yes—
316C2×#120C2313yes—
317C2×#120C2313yes—
318C2×#120C2313yes—
319C2×#120C2313yes—
320C2×#120C2311yescharacteristic
321C2×#120C2313yes—
322C2×#120C2313yescomplemented
323C2×C4×D4C2313yes—
324C2×C4×D4C2313yes—
325C2×C4×D4C2313yes—
326C2×C4×D4C2313yes—
327C2×C4×D4C2313yes—
328C2×C4×D4C2313yes—
329C2×C4×D4C2313yes—
330C2×C4×D4C2313yes—
331C2×C4×D4C2313yes—
332C2×C4×D4C2313yes—
333C2×C4×D4C2313yes—
334C2×C4×D4C2313yes—
335C2×C4×D4C2313yescomplemented
336C2×C4×D4C2313yescomplemented
337C2×#117C2313yes—
338C2×#117C2313yes—
339C2×#117C2313yes—
340C22×C4⋊C4C2313yescomplemented
341C22×C22⋊C4C2313yescomplemented
342#401C2311yescharacteristic, complemented
343#401C2311yescharacteristic, complemented
344#401C2311yescharacteristic, complemented
345#400C2313yescomplemented
346#400C2313yescomplemented
347#400C2313yescomplemented
348#400C2313yescomplemented
349#400C2313yescomplemented
350#400C2313yescomplemented
351#400C2313yescomplemented
352#400C2313yescomplemented
353#399C2313yes—
354#399C2311yescharacteristic
355#399C2313yes—
356#399C2313yes—
357#399C2313yes—
358#399C2313yes—
359#399C2313yescomplemented
360#399C2313yescomplemented
361#399C2313yescomplemented
362#398C2313yescomplemented
363#398C2313yescomplemented
364#398C2313yescomplemented
365#398C2313yescomplemented
366#398C2313yescomplemented
367#398C2313yescomplemented
368#398C2313yescomplemented
369#398C2313yescomplemented
370#398C2313yescomplemented
371#398C2313yescomplemented
372#398C2313yescomplemented
373#398C2313yescomplemented
374#397C2313yes—
375#397C2313yes—
376#397C2313yes—
377#397C2313yes—
378#397C2313yes—
379#397C2313yes—
380#397C2313yes—
381#397C2313yes—
382#397C2313yes—
383#397C2313yes—
384#397C2313yes—
385#397C2313yes—
386#397C2313yescomplemented
387#397C2313yescomplemented
388#397C2313yescomplemented
389#397C2313yescomplemented
390#397C2313yescomplemented
391#397C2313yescomplemented
392#397C2313yescomplemented
393#396C2313yes—
394#396C2313yes—
395#396C2311yescharacteristic
396#396C2313yes—
397#396C2313yes—
398#396C2313yes—
399#396C2313yes—
400#396C2313yes—
401#396C2313yes—
402#396C2313yes—
403#396C2313yescomplemented
404#396C2313yescomplemented
405#396C2313yescomplemented
406#396C2313yescomplemented
407#396C2313yescomplemented
408#396C2313yescomplemented
409#396C2313yescomplemented
410#395C2313yescomplemented
411#395C2313yescomplemented
412#395C2313yescomplemented
413#395C2313yescomplemented
414#394C2313yes—
415#394C2313yes—
416#394C2313yes—
417#394C2313yes—
418#394C2313yes—
419#394C2313yes—
420#394C2313yes—
421#394C2313yes—
422#394C2313yes—
423#394C2313yes—
424#394C2313yes—
425#394C2313yes—
426#394C2313yes—
427#394C2313yes—
428#394C2313yes—
429#394C2313yes—
430#394C2313yes—
431#394C2313yes—
432#394C2313yes—
433#394C2313yes—
434#394C2313yes—
435#394C2313yes—
436#394C2313yes—
437#394C2313yes—
438#394C2313yes—
439#394C2313yes—
440#394C2313yes—
441#394C2313yes—
442#394C2313yes—
443#394C2313yes—
444#394C2313yes—
445#394C2313yes—
446#394C2313yescomplemented
447#394C2313yescomplemented
448#394C2313yescomplemented
449#394C2313yescomplemented
450#394C2313yescomplemented
451#394C2313yescomplemented
452#394C2313yescomplemented
453#393C2313yes—
454#393C2313yes—
455#393C2313yes—
456#393C2313yes—
457#393C2313yescomplemented
458#393C2313yescomplemented
459#392C2313yes—
460#392C2313yes—
461#392C2313yes—
462#392C2313yes—
463#392C2313yes—
464#392C2313yes—
465#392C2313yes—
466#392C2313yes—
467#392C2313yes—
468#392C2313yes—
469#392C2313yes—
470#392C2313yes—
471#392C2311yescharacteristic, complemented
472#392C2313yescomplemented
473#392C2313yescomplemented
474#391C2313yescomplemented
475#391C2313yescomplemented
476#391C2313yescomplemented
477#391C2313yescomplemented
478#391C2313yescomplemented
479#391C2313yescomplemented
480#390C2313yes—
481#390C2313yes—
482#390C2313yes—
483#390C2313yes—
484#390C2313yes—
485#390C2313yes—
486#390C2313yes—
487#390C2313yes—
488#390C2313yes—
489#390C2313yes—
490#390C2313yes—
491#390C2313yes—
492#390C2313yes—
493#390C2313yes—
494#390C2313yes—
495#390C2313yes—
496#390C2313yescomplemented
497#390C2313yescomplemented
498#390C2313yescomplemented
499#389C2313yescomplemented
500#389C2313yescomplemented
501#389C2313yescomplemented
502#389C2313yescomplemented
503#389C2313yescomplemented
504#389C2313yescomplemented
505#389C2313yescomplemented
506#389C2313yescomplemented
507#389C2313yescomplemented
508#389C2313yescomplemented
509#389C2313yescomplemented
510#388C2313yes—
511#388C2313yes—
512#388C2313yes—
513#388C2313yes—
514#388C2313yes—
515#388C2313yes—
516#388C2313yes—
517#388C2313yes—
518#388C2313yes—
519#388C2313yes—
520#388C2313yes—
521#388C2313yes—
522#388C2313yes—
523#388C2313yes—
524#388C2313yes—
525#388C2313yes—
526#388C2313yes—
527#388C2313yes—
528#388C2313yes—
529#388C2313yes—
530#388C2313yes—
531#388C2313yes—
532#388C2313yes—
533#388C2313yes—
534#388C2313yes—
535#388C2313yes—
536#388C2313yes—
537#388C2313yes—
538#388C2313yescomplemented
539#388C2313yescomplemented
540#388C2313yescomplemented
541#388C2313yescomplemented
542#388C2313yescomplemented
543#388C2313yescomplemented
544#388C2313yescomplemented
545#388C2313yescomplemented
546#388C2313yescomplemented
547#388C2313yescomplemented
548#388C2313yescomplemented
549#388C2313yescomplemented
550#388C2313yescomplemented
551#388C2313yescomplemented
552#388C2313yescomplemented
553#388C2313yescomplemented
554#388C2313yescomplemented
555#388C2313yescomplemented
556#388C2313yescomplemented
557#388C2313yescomplemented
558#388C2313yescomplemented
559#388C2313yescomplemented
560#388C2313yescomplemented
561#387C2313yescomplemented
562#387C2313yescomplemented
563#387C2313yescomplemented
564#387C2313yescomplemented
565#387C2313yescomplemented
566#387C2313yescomplemented
567#387C2313yescomplemented
568#387C2313yescomplemented
569#387C2313yescomplemented
570#387C2313yescomplemented
571#387C2313yescomplemented
572#387C2313yescomplemented
573#387C2313yescomplemented
574#387C2313yescomplemented
575#387C2313yescomplemented
576#387C2313yescomplemented
577#387C2313yescomplemented
578#387C2313yescomplemented
579#387C2313yescomplemented
580#387C2313yescomplemented
581#387C2313yescomplemented
582#386C2313yes—
583#386C2313yes—
584#386C2313yes—
585#386C2313yes—
586#386C2313yes—
587#386C2313yes—
588#386C2313yes—
589#386C2313yes—
590#386C2313yes—
591#386C2313yes—
592#386C2313yes—
593#386C2313yes—
594#386C2313yes—
595#386C2313yes—
596#386C2313yes—
597#386C2313yes—
598#386C2313yes—
599#386C2313yes—
600#386C2313yes—
601#386C2313yes—
602#386C2313yes—
603#386C2313yes—
604#386C2313yes—
605#386C2313yes—
606#386C2313yes—
607#386C2313yes—
608#386C2313yes—
609#386C2313yes—
610#386C2313yes—
611#386C2313yes—
612#386C2313yes—
613#386C2313yes—
614#386C2313yes—
615#386C2313yes—
616#386C2313yes—
617#386C2313yes—
618#386C2313yescomplemented
619#386C2313yescomplemented
620#386C2313yescomplemented
621#386C2313yescomplemented
622#386C2313yescomplemented
623#386C2313yescomplemented
624#386C2313yescomplemented
625#385C2313yes—
626#385C2313yes—
627#385C2313yes—
628#385C2313yes—
629#385C2313yes—
630#385C2313yes—
631#385C2313yes—
632#385C2313yes—
633#385C2313yes—
634#385C2313yes—
635#385C2313yes—
636#385C2313yes—
637#385C2313yes—
638#385C2313yes—
639#385C2313yes—
640#385C2313yes—
641#385C2313yes—
642#385C2313yes—
643#385C2313yes—
644#385C2313yes—
645#385C2313yes—
646#385C2313yes—
647#385C2313yes—
648#385C2313yes—
649#385C2313yescomplemented
650#385C2313yescomplemented
651#385C2313yescomplemented
652#385C2313yescomplemented
653#385C2313yescomplemented
654#385C2313yescomplemented
655#385C2313yescomplemented
656#385C2313yescomplemented
657#385C2313yescomplemented
658#384C2311yescharacteristic, complemented
659#383C2311yescharacteristic, complemented
660#382C2313yescomplemented
661#382C2313yescomplemented
662#381C2313yes—
663#381C2313yes—
664#381C2313yes—
665#381C2313yes—
666#381C2313yes—
667#381C2313yes—
668#381C2313yescomplemented
669#381C2313yescomplemented
670#381C2313yescomplemented
671#380C2313yes—
672#380C2313yes—
673#380C2313yes—
674#380C2313yes—
675#380C2313yes—
676#380C2313yes—
677#380C2313yes—
678#380C2313yes—
679#380C2313yes—
680#380C2313yes—
681#380C2313yes—
682#380C2313yes—
683#380C2313yescomplemented
684#380C2313yescomplemented
685#380C2313yescomplemented
686#379C2313yes—
687#379C2313yes—
688#379C2313yes—
689#379C2313yes—
690#379C2313yes—
691#379C2313yes—
692#379C2313yes—
693#379C2313yes—
694#379C2313yes—
695#379C2313yes—
696#379C2313yes—
697#379C2313yes—
698#379C2313yes—
699#379C2313yes—
700#379C2311yescharacteristic, complemented
701#379C2311yescharacteristic, complemented
702C4×C4⋊C4C2313yescomplemented
703C4×C4⋊C4C2313yescomplemented
704C4×C4⋊C4C2313yescomplemented
705C4×C4⋊C4C2313yescomplemented
706C4×C4⋊C4C2313yescomplemented
707C4×C4⋊C4C2313yescomplemented
708C4×C22⋊C4C2313yes—
709C4×C22⋊C4C2313yes—
710C4×C22⋊C4C2313yes—
711C4×C22⋊C4C2313yes—
712C4×C22⋊C4C2313yes—
713C4×C22⋊C4C2313yes—
714C4×C22⋊C4C2313yes—
715C4×C22⋊C4C2313yes—
716C4×C22⋊C4C2313yes—
717C4×C22⋊C4C2313yes—
718C4×C22⋊C4C2313yes—
719C4×C22⋊C4C2313yes—
720C4×C22⋊C4C2313yescomplemented
721C4×C22⋊C4C2313yescomplemented
722C4×C22⋊C4C2313yescomplemented
723C4×C22⋊C4C2313yescomplemented
724#376C2313yescomplemented
725#376C2313yescomplemented
726C25—46no—
727C25—46no—
728C25—42no—
729C25C2413yes—
730C25C2413yes—
731C25C2411yescharacteristic
732C25C2411yescharacteristic
733C2×#41—46no—
734C2×#41—46no—
735C2×#41—46no—
736C22×Q8C2413yes—
737C22×Q8C2413yes—
738C22×D4C2413yes—
739C22×D4C2413yes—
740C22×D4C2413yes—
741C22×D4C2413yes—
742C22×D4C2413yes—
743C22×D4C2413yes—
744C22×D4C2413yes—
745C22×D4C2413yes—
746C22×D4C2413yes—
747C22×D4C2413yes—
748C22×D4C2413yes—
749C22×D4C2413yes—
750C22×D4C2413yes—
751C22×D4C2413yes—
752C22×D4C2413yes—
753C22×D4C2413yes—
754C22×D4C2413yes—
755C22×D4C2413yes—
756C23×C4—212no—
757C23×C4—212no—
758C23×C4—212no—
759C23×C4—46no—
760C23×C4—46no—
761C23×C4—46no—
762C23×C4—46no—
763C23×C4—46no—
764C23×C4—46no—
765C23×C4—46no—
766C23×C4—46no—
767C23×C4—46no—
768C23×C4—46no—
769C23×C4—46no—
770C23×C4—464no—
771C23×C4C2413yes—
772C23×C4C2413yes—
773C23×C4C2413yes—
774C23×C4C2413yes—
775C23×C4C2413yes—
776C23×C4C2413yes—
777C23×C4C2413yes—
778C23×C4C2413yes—
779C23×C4C2413yes—
780C23×C4C2413yes—
781C23×C4C2413yes—
782C23×C4C2413yes—
783C23×C4C2413yes—
784C23×C4C2411yescharacteristic
785C23×C4C2413yes—
786#127—46no—
787#126—46no—
788#126—46no—
789#126—46no—
790#126—46no—
791#126—42no—
792#126—46no—
793#126—46no—
794#125—46no—
795#125—46no—
796#124—46no—
797#124—46no—
798#124—46no—
799#124—46no—
800#123—212no—
801#123—212no—
802#123—46no—
803#123—46no—
804#123—46no—
805#123—46no—
806#123—46no—
807#123—46no—
808#123—46no—
809#123—46no—
810#123—46no—
811C22⋊Q8—212no—
812C22⋊Q8—46no—
813C22⋊Q8—46no—
814C22⋊Q8—46no—
815C22⋊Q8—46no—
816C22⋊Q8—46no—
817C22⋊Q8—46no—
818C22⋊Q8—46no—
819C22⋊Q8—46no—
820#121—212no—
821#121—46no—
822#121—46no—
823#121—46no—
824#121—46no—
825#121—46no—
826#121—46no—
827#121—46no—
828#121—46no—
829#121—46no—
830#121—46no—
831#121—46no—
832#120—46no—
833#120—46no—
834#120—46no—
835#120—46no—
836#120—46no—
837#120—46no—
838#120—46no—
839#120—46no—
840#120—46no—
841#120—46no—
842#120—46no—
843#120—46no—
844#120—46no—
845#120—46no—
846#120—46no—
847#120—42no—
848#120—46no—
849#120—46no—
850C4×D4—212no—
851C4×D4—212no—
852C4×D4—46no—
853C4×D4—46no—
854C4×D4—46no—
855C4×D4—46no—
856C4×D4—46no—
857C4×D4—46no—
858C4×D4—46no—
859C4×D4—46no—
860C4×D4—46no—
861C4×D4—46no—
862C4×D4—46no—
863C4×D4—46no—
864#117—46no—
865#117—46no—
866#117—46no—
867C2×C4⋊C4—46no—
868C2×C4⋊C4C2413yes—
869C2×C4⋊C4C2413yes—
870C2×C4⋊C4C2413yes—
871C2×C4⋊C4C2413yes—
872C2×C4⋊C4C2413yes—
873C2×C4⋊C4C2413yes—
874C2×C4⋊C4C2413yes—
875C2×C4⋊C4C2413yes—
876C2×C4⋊C4C2413yes—
877C2×C4⋊C4C2413yes—
878C2×C4⋊C4C2413yes—
879C2×C4⋊C4C2413yes—
880C2×C4⋊C4C2413yes—
881C2×C4⋊C4C2413yes—
882C2×C4⋊C4C2413yes—
883C2×C4⋊C4C2413yes—
884C2×C4⋊C4C2413yes—
885C2×C4⋊C4C2413yes—
886C2×C4⋊C4C2413yes—
887C2×C4⋊C4C2413yes—
888C2×C4⋊C4C2413yes—
889C2×C4⋊C4C2413yes—
890C2×C4⋊C4C2413yes—
891C2×C4⋊C4C2413yes—
892C2×C4⋊C4C2413yes—
893C2×C4⋊C4C2413yes—
894C2×C4⋊C4C2413yes—
895C2×C4⋊C4C2413yes—
896C2×C4⋊C4C2413yes—
897C2×C4⋊C4C2413yes—
898C2×C4⋊C4C2413yes—
899C2×C4⋊C4C2413yes—
900C2×C4⋊C4C2413yes—
901C2×C4⋊C4C2413yes—
902C2×C4⋊C4C2413yes—
903C2×C4⋊C4C2413yes—
904C2×C4⋊C4C2413yes—
905C2×C4⋊C4C2413yes—
906C2×C4⋊C4C2413yes—
907C2×C4⋊C4C2413yes—
908C2×C22⋊C4—46no—
909C2×C22⋊C4C2413yes—
910C2×C22⋊C4C2413yes—
911C2×C22⋊C4C2413yes—
912C2×C22⋊C4C2413yes—
913C2×C22⋊C4C2413yes—
914C2×C22⋊C4C2413yes—
915C2×C22⋊C4C2413yes—
916C2×C22⋊C4C2413yes—
917C2×C22⋊C4C2413yes—
918C2×C22⋊C4C2413yes—
919C2×C22⋊C4C2413yes—
920C2×C22⋊C4C2413yes—
921C2×C22⋊C4C2413yes—
922C2×C22⋊C4C2413yes—
923C2×C22⋊C4C2413yes—
924C2×C22⋊C4C2413yes—
925C2×C22⋊C4C2413yes—
926C2×C22⋊C4C2413yes—
927C2×C22⋊C4C2413yes—
928C2×C22⋊C4C2413yes—
929C2×C22⋊C4C2413yes—
930C2×C22⋊C4C2413yes—
931C2×C22⋊C4C2413yes—
932C2×C22⋊C4C2413yes—
933C2×C22⋊C4C2413yes—
934C2×C22⋊C4C2413yes—
935C2×C22⋊C4C2413yes—
936C2×C22⋊C4C2413yes—
937C2×C22⋊C4C2413yes—
938C2×C22⋊C4C2413yes—
939C2×C22⋊C4C2413yes—
940C2×C22⋊C4C2413yes—
941C2×C22⋊C4C2413yes—
942C2×C22⋊C4C2413yes—
943C2×C22⋊C4C2413yes—
944C2×C22⋊C4C2413yes—
945C2×C22⋊C4C2413yes—
946C2×C22⋊C4C2413yes—
947C2×C22⋊C4C2413yes—
948C2×C22⋊C4C2413yes—
949C2×C22⋊C4C2413yes—
950C2×C22⋊C4C2413yes—
951C2×C22⋊C4C2413yes—
952C2×C22⋊C4C2413yes—
953C2×C22⋊C4C2413yes—
954C2×C22⋊C4C2413yes—
955C2×C22⋊C4C2413yes—
956C2×C22⋊C4C2413yes—
957C2×C22⋊C4C2413yes—
958C2×C22⋊C4C2413yes—
959C2×C22⋊C4C2413yes—
960C2×C22⋊C4C2413yes—
961C2×C22⋊C4C2413yes—
962C2×C22⋊C4C2413yes—
963C2×C22⋊C4C2413yes—
964C2×C22⋊C4C2413yes—
965C2×C22⋊C4C2413yes—
966C2×C22⋊C4C2413yes—
967C2×C22⋊C4C2413yes—
968C2×C22⋊C4C2413yes—
969C2×C22⋊C4C2413yes—
970C2×C22⋊C4C2413yes—
971C2×C22⋊C4C2413yes—
972C2×C22⋊C4C2413yes—
973C2×C22⋊C4C2413yes—
974C2×C22⋊C4C2413yes—
975C2×C22⋊C4C2413yes—
976C2×C22⋊C4C2413yes—
977C2×C22⋊C4C2413yes—
978C2×C22⋊C4C2413yes—
979C2×C22⋊C4C2413yes—
980C2×C22⋊C4C2413yes—
981C2×C22⋊C4C2413yes—
982C2×C22⋊C4C2413yes—
983C2×C22⋊C4C2413yes—
984C2×C22⋊C4C2413yes—
985C2×C42C2413yes—
986C2×C42C2413yes—
987C2×C42C2413yes—
988C2×C42C2413yes—
989C2×C42C2413yes—
990C2×C42C2413yes—
991C2×C42C2413yes—
992C2×C42C2413yes—
993C2×C42C2413yes—
994C2×C42C2413yes—
995C2×C42C2413yes—
996C2×C42C2413yes—
997C2×C42C2411yescharacteristic
998C2×C42C2413yes—
999#95C2413yes—
1000#95C2413yes—
1001#95C2413yes—
1002#95C2413yes—
1003#95C2413yes—
1004#95C2413yes—
1005#95C2413yes—
1006#95C2413yes—
1007#95C2413yes—
1008#95C2413yes—
1009#95C2413yes—
1010#95C2413yes—
1011#95C2413yes—
1012#95C2413yes—
1013#95C2413yes—
1014#95C2413yes—
1015#95C2413yes—
1016#95C2413yes—
1017#95C2413yes—
1018#95C2413yes—
1019#95C2413yes—
1020#95C2413yes—
1021#95C2413yes—
1022#95C2413yes—
1023#95C2413yes—
1024#95C2413yes—
1025#95C2413yes—
1026#95C2413yes—
1027#95C2413yes—
1028#95C2413yes—
1029#95C2413yes—
1030#95C2413yes—
1031#95C2413yes—
1032#95C2413yes—
1033#95C2413yes—
1034#95C2413yes—
1035#95C2413yes—
1036#95C2413yes—
1037#95C2413yes—
1038#95C2413yes—
1039#95C2413yes—
1040#95C2413yes—
1041#95C2413yes—
1042#95C2413yes—
1043#95C2413yes—
1044#95C2413yes—
1045#95C2411yescharacteristic
1046#95C2413yes—
1047#95C2413yes—
1048#95C2413yes—
1049#95C2413yes—
1050#95C2411yescharacteristic
1051C24—26no—
1052C24—26no—
1053C24—26no—
1054C24—26no—
1055C24—26no—
1056C24—26no—
1057C24—26no—
1058C24—43no—
1059C24—43no—
1060C24—43no—
1061C24—43no—
1062C24—43no—
1063C24—43no—
1064C24—43no—
1065C24—43no—
1066C24—43no—
1067C24—41no—
1068C24—43no—
1069C24—43no—
1070C24—41no—
1071C24—416no—
1072C24—448no—
1073C24—448no—
1074C24C2513yes—
1075C24C2513yes—
1076C24C2513yes—
1077C24C2511yescharacteristic
1078C24C2513yes—
1079#41—824no—
1080C2×Q8—26no—
1081C2×Q8—43no—
1082C2×Q8—43no—
1083C2×Q8—43no—
1084C2×Q8—43no—
1085C2×Q8—43no—
1086C2×D4—26no—
1087C2×D4—26no—
1088C2×D4—26no—
1089C2×D4—26no—
1090C2×D4—26no—
1091C2×D4—26no—
1092C2×D4—26no—
1093C2×D4—26no—
1094C2×D4—26no—
1095C2×D4—26no—
1096C2×D4—26no—
1097C2×D4—26no—
1098C2×D4—26no—
1099C2×D4—26no—
1100C2×D4—26no—
1101C2×D4—43no—
1102C2×D4—43no—
1103C2×D4—43no—
1104C2×D4—43no—
1105C2×D4—43no—
1106C2×D4—43no—
1107C2×D4—43no—
1108C2×D4—43no—
1109C2×D4—43no—
1110C2×D4—43no—
1111C2×D4—43no—
1112C2×D4—43no—
1113C2×D4—43no—
1114C2×D4—43no—
1115C2×D4—43no—
1116C2×D4—43no—
1117C2×D4—43no—
1118C2×D4—43no—
1119C2×D4—43no—
1120C2×D4—43no—
1121C2×D4—43no—
1122C2×D4—43no—
1123C2×D4—43no—
1124C2×D4—43no—
1125C2×D4—43no—
1126C2×D4—43no—
1127C2×D4—43no—
1128C2×D4—43no—
1129C2×D4—43no—
1130C2×D4—43no—
1131C2×D4—43no—
1132C2×D4—43no—
1133C2×D4—43no—
1134C2×D4—43no—
1135C2×D4—43no—
1136C2×D4—43no—
1137C2×D4—43no—
1138C2×D4—43no—
1139C2×D4—43no—
1140C22×C4—26no—
1141C22×C4—26no—
1142C22×C4—26no—
1143C22×C4—26no—
1144C22×C4—26no—
1145C22×C4—26no—
1146C22×C4—26no—
1147C22×C4—26no—
1148C22×C4—26no—
1149C22×C4—26no—
1150C22×C4—26no—
1151C22×C4—26no—
1152C22×C4—26no—
1153C22×C4—26no—
1154C22×C4—26no—
1155C22×C4—26no—
1156C22×C4—26no—
1157C22×C4—43no—
1158C22×C4—43no—
1159C22×C4—43no—
1160C22×C4—43no—
1161C22×C4—43no—
1162C22×C4—43no—
1163C22×C4—43no—
1164C22×C4—43no—
1165C22×C4—43no—
1166C22×C4—43no—
1167C22×C4—43no—
1168C22×C4—43no—
1169C22×C4—43no—
1170C22×C4—43no—
1171C22×C4—43no—
1172C22×C4—43no—
1173C22×C4—43no—
1174C22×C4—43no—
1175C22×C4—43no—
1176C22×C4—43no—
1177C22×C4—43no—
1178C22×C4—43no—
1179C22×C4—43no—
1180C22×C4—43no—
1181C22×C4—43no—
1182C22×C4—448no—
1183C22×C4—448no—
1184C22×C4—448no—
1185C22×C4—416no—
1186C22×C4—416no—
1187C22×C4—448no—
1188C22×C4H(5,𝔽2)112yes—
1189C22×C4C2513yes—
1190C22×C4C2513yes—
1191C22×C4C2511yescharacteristic
1192C22×C4C2511yescharacteristic
1193C22×C4C2513yes—
1194C22×C4C2513yes—
1195C22×C4C2513yes—
1196C22×C4C2513yes—
1197C22×C4C2513yes—
1198C22×C4C2513yes—
1199C22×C4C2513yes—
1200C22×C4C2513yes—
1201C22×C4C2513yes—
1202C22×C4C2513yes—
1203C22×C4C2513yes—
1204C22×C4C2513yes—
1205C22×C4C2513yes—
1206C22×C4C2513yes—
1207C4⋊C4—26no—
1208C4⋊C4—26no—
1209C4⋊C4—26no—
1210C4⋊C4—26no—
1211C4⋊C4—26no—
1212C4⋊C4—26no—
1213C4⋊C4—26no—
1214C4⋊C4—26no—
1215C4⋊C4—26no—
1216C4⋊C4—26no—
1217C4⋊C4—43no—
1218C4⋊C4—43no—
1219C4⋊C4—43no—
1220C4⋊C4—43no—
1221C4⋊C4—43no—
1222C4⋊C4—43no—
1223C4⋊C4—43no—
1224C4⋊C4—43no—
1225C4⋊C4—43no—
1226C4⋊C4—43no—
1227C4⋊C4—43no—
1228C4⋊C4—43no—
1229C4⋊C4—43no—
1230C4⋊C4—43no—
1231C4⋊C4—43no—
1232C4⋊C4—43no—
1233C4⋊C4—43no—
1234C4⋊C4—43no—
1235C4⋊C4—43no—
1236C4⋊C4—43no—
1237C4⋊C4—43no—
1238C4⋊C4—43no—
1239C4⋊C4—43no—
1240C4⋊C4—43no—
1241C4⋊C4—43no—
1242C4⋊C4—43no—
1243C4⋊C4—43no—
1244C4⋊C4—43no—
1245C4⋊C4—43no—
1246C4⋊C4—43no—
1247C22⋊C4—26no—
1248C22⋊C4—26no—
1249C22⋊C4—26no—
1250C22⋊C4—26no—
1251C22⋊C4—26no—
1252C22⋊C4—26no—
1253C22⋊C4—26no—
1254C22⋊C4—26no—
1255C22⋊C4—26no—
1256C22⋊C4—26no—
1257C22⋊C4—26no—
1258C22⋊C4—26no—
1259C22⋊C4—26no—
1260C22⋊C4—26no—
1261C22⋊C4—26no—
1262C22⋊C4—26no—
1263C22⋊C4—26no—
1264C22⋊C4—26no—
1265C22⋊C4—26no—
1266C22⋊C4—26no—
1267C22⋊C4—26no—
1268C22⋊C4—26no—
1269C22⋊C4—43no—
1270C22⋊C4—43no—
1271C22⋊C4—43no—
1272C22⋊C4—43no—
1273C22⋊C4—43no—
1274C22⋊C4—43no—
1275C22⋊C4—43no—
1276C22⋊C4—43no—
1277C22⋊C4—43no—
1278C22⋊C4—43no—
1279C22⋊C4—43no—
1280C22⋊C4—43no—
1281C22⋊C4—43no—
1282C22⋊C4—43no—
1283C22⋊C4—43no—
1284C22⋊C4—43no—
1285C22⋊C4—43no—
1286C22⋊C4—43no—
1287C22⋊C4—43no—
1288C22⋊C4—43no—
1289C22⋊C4—43no—
1290C22⋊C4—43no—
1291C22⋊C4—43no—
1292C22⋊C4—43no—
1293C22⋊C4—43no—
1294C22⋊C4—43no—
1295C22⋊C4—43no—
1296C22⋊C4—43no—
1297C22⋊C4—43no—
1298C22⋊C4—43no—
1299C22⋊C4—43no—
1300C22⋊C4—43no—
1301C22⋊C4—43no—
1302C22⋊C4—43no—
1303C22⋊C4—43no—
1304C22⋊C4—43no—
1305C22⋊C4—43no—
1306C22⋊C4—43no—
1307C22⋊C4—43no—
1308C22⋊C4—43no—
1309C22⋊C4—43no—
1310C22⋊C4—43no—
1311C22⋊C4—43no—
1312C22⋊C4—43no—
1313C22⋊C4—43no—
1314C22⋊C4—43no—
1315C22⋊C4—43no—
1316C22⋊C4—43no—
1317C22⋊C4—43no—
1318C22⋊C4—43no—
1319C22⋊C4—43no—
1320C22⋊C4—43no—
1321C22⋊C4—43no—
1322C22⋊C4—43no—
1323C42—26no—
1324C42—26no—
1325C42—43no—
1326C42—43no—
1327C42—43no—
1328C42—43no—
1329C42—43no—
1330C42—43no—
1331C42—43no—
1332C42—43no—
1333C42—41no—
1334C42—43no—
1335C42—43no—
1336C42—43no—
1337C23—23no—
1338C23—23no—
1339C23—23no—
1340C23—23no—
1341C23—23no—
1342C23—23no—
1343C23—23no—
1344C23—23no—
1345C23—23no—
1346C23—23no—
1347C23—23no—
1348C23—23no—
1349C23—23no—
1350C23—23no—
1351C23—23no—
1352C23—23no—
1353C23—23no—
1354C23—23no—
1355C23—23no—
1356C23—23no—
1357C23—23no—
1358C23—23no—
1359C23—23no—
1360C23—23no—
1361C23—23no—
1362C23—23no—
1363C23—23no—
1364C23—23no—
1365C23—412no—
1366C23—412no—
1367C23—412no—
1368C23—412no—
1369C23—412no—
1370C23—412no—
1371C23—412no—
1372C23—412no—
1373C23—412no—
1374C23—412no—
1375C23—412no—
1376C23—412no—
1377C23—412no—
1378C23—412no—
1379C23—44no—
1380C23—4128no—
1381C23—412no—
1382C23—412no—
1383C23—86no—
1384C23—161no—
1385C23—163no—
1386C23C2×H(5,𝔽2)16yes—
1387C23#58516yes—
1388C23#58512yes—
1389C23C2611yescharacteristic
1390Q8—86no—
1391Q8—163no—
1392D4—86no—
1393D4—86no—
1394D4—86no—
1395D4—86no—
1396D4—86no—
1397D4—86no—
1398D4—86no—
1399D4—86no—
1400D4—86no—
1401D4—86no—
1402D4—86no—
1403D4—86no—
1404D4—86no—
1405D4—86no—
1406D4—86no—
1407D4—86no—
1408D4—86no—
1409D4—163no—
1410C2×C4—224no—
1411C2×C4—23no—
1412C2×C4—23no—
1413C2×C4—23no—
1414C2×C4—23no—
1415C2×C4—23no—
1416C2×C4—23no—
1417C2×C4—23no—
1418C2×C4—23no—
1419C2×C4—23no—
1420C2×C4—23no—
1421C2×C4—23no—
1422C2×C4—23no—
1423C2×C4—23no—
1424C2×C4—23no—
1425C2×C4—23no—
1426C2×C4—23no—
1427C2×C4—23no—
1428C2×C4—23no—
1429C2×C4—23no—
1430C2×C4—23no—
1431C2×C4—23no—
1432C2×C4—23no—
1433C2×C4—23no—
1434C2×C4—23no—
1435C2×C4—23no—
1436C2×C4—23no—
1437C2×C4—23no—
1438C2×C4—23no—
1439C2×C4—23no—
1440C2×C4—23no—
1441C2×C4—23no—
1442C2×C4—23no—
1443C2×C4—23no—
1444C2×C4—23no—
1445C2×C4—23no—
1446C2×C4—23no—
1447C2×C4—23no—
1448C2×C4—23no—
1449C2×C4—23no—
1450C2×C4—23no—
1451C2×C4—23no—
1452C2×C4—23no—
1453C2×C4—23no—
1454C2×C4—23no—
1455C2×C4—23no—
1456C2×C4—23no—
1457C2×C4—23no—
1458C2×C4—23no—
1459C2×C4—412no—
1460C2×C4—412no—
1461C2×C4—412no—
1462C2×C4—412no—
1463C2×C4—412no—
1464C2×C4—412no—
1465C2×C4—412no—
1466C2×C4—412no—
1467C2×C4—44no—
1468C2×C4—86no—
1469C2×C4—86no—
1470C2×C4—86no—
1471C2×C4—163no—
1472C2×C4—163no—
1473C2×C4C2×H(5,𝔽2)16yes—
1474C2×C4C2×H(5,𝔽2)16yes—
1475C22—26no—
1476C22—26no—
1477C22—26no—
1478C22—26no—
1479C22—26no—
1480C22—26no—
1481C22—26no—
1482C22—448no—
1483C22—448no—
1484C22—416no—
1485C22—43no—
1486C22—43no—
1487C22—43no—
1488C22—43no—
1489C22—41no—
1490C22—43no—
1491C22—43no—
1492C22—43no—
1493C22—43no—
1494C22—43no—
1495C22—43no—
1496C22—43no—
1497C22—43no—
1498C22—43no—
1499C22—43no—
1500C22—43no—
1501C22—43no—
1502C22—43no—
1503C22—43no—
1504C22—43no—
1505C22—43no—
1506C22—43no—
1507C22—43no—
1508C22—43no—
1509C22—164no—
1510C22C22×H(5,𝔽2)13yes—
1511C22C2×#58513yes—
1512C22C2×#58511yescharacteristic
1513C4—26no—
1514C4—26no—
1515C4—43no—
1516C4—43no—
1517C4—43no—
1518C4—43no—
1519C4—43no—
1520C4—43no—
1521C4—41no—
1522C4—41no—
1523C4—43no—
1524C4—43no—
1525C4—43no—
1526C4—43no—
1527C4—43no—
1528C4—43no—
1529C4—43no—
1530C4—43no—
1531C2—46no—
1532C2—46no—
1533C2—42no—
1534C2—83no—
1535C2—83no—
1536C2#6272913yes—
1537C2#6281711yescharacteristic
1538C2#6282113yes—
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. #60037C2semidirect
2. #60031C2semidirect
3. #53179C2semidirect
4. #53178C2semidirect
5. #53169C2semidirect
6. #53158C2semidirect
7. #45660C2semidirect
8. #45638C2semidirect
9. #45615C2semidirect
10. #45591C2semidirect
11. #38015C2semidirect
12. #38014C2semidirect
13. #37991C2semidirect
14. #37990C2semidirect
15. #37825C2semidirect
16. #37824C2semidirect
17. #37801C2semidirect
18. #37800C2semidirect
19. #36734C2semidirect
20. #36733C2semidirect
21. #36724C2semidirect
22. #36723C2semidirect
23. #36614C2semidirect
24. C25×C4C22semidirect
25. C2×#539C22semidirect
26. C2×#538C22semidirect
33. #2849C22semidirect
34. #2849C22semidirect
35. #2849C22semidirect
36. #2848C22semidirect
37. #2848C22semidirect
38. #2848C22semidirect
39. #2848C22semidirect
45. #2846C22semidirect
46. #2834C22semidirect
47. #2827C22semidirect
48. #2826C22semidirect
49. #2825C22semidirect
50. #2788C22semidirect
51. #2781C22semidirect
52. #2779C22semidirect
53. #2778C22semidirect
54. #2768C22semidirect
55. #2756C22semidirect
56. #2746C22semidirect
57. #2745C22semidirect
58. #2744C22semidirect
59. #2743C22semidirect
60. #2742C22semidirect
61. #2741C22semidirect
62. #2741C22semidirect
63. #2736C22semidirect
64. #2735C22semidirect
65. #2735C22semidirect
66. #2735C22semidirect
67. #2732C22semidirect
68. #2728C22semidirect
69. #2723C22semidirect
70. #2722C22semidirect
71. #2715C22semidirect
72. #2711C22semidirect
73. #2708C22semidirect
74. #2707C22semidirect
75. #2706C22semidirect
76. #2705C22semidirect
77. #2704C22semidirect
78. #2703C22semidirect
79. #2702C22semidirect
80. #2701C22semidirect
81. #2700C22semidirect
82. #2699C22semidirect
83. #2698C22semidirect
85. #2697C22semidirect
86. #2697C22semidirect
87. #2695C22semidirect
88. #2692C22semidirect
89. #2692C22semidirect
90. #2691C22semidirect
91. #2690C22semidirect
92. #2687C22semidirect
101. #2685C22semidirect
102. #2685C22semidirect
104. #2684C22semidirect
105. #2684C22semidirect
106. #2683C22semidirect
107. #2682C22semidirect
108. #2681C22semidirect
109. #2681C22semidirect
110. #2681C22semidirect
111. #2680C22semidirect
119. #2678C22semidirect
120. #2678C22semidirect
121. #2678C22semidirect
122. #2673C22semidirect
123. #2672C22semidirect
124. #2671C22semidirect
127. #2670C22semidirect
131. #2669C22semidirect
134. #2668C22semidirect
135. #2668C22semidirect
136. #2667C22semidirect
137. #2665C22semidirect
138. #2663C22semidirect
139. #2661C22semidirect
140. #2638C22semidirect
141. #2635C22semidirect
142. #2630C22semidirect
143. #2630C22semidirect
144. #2611C22semidirect
145. #2610C22semidirect
146. #2603C22semidirect
147. #2603C22semidirect
148. #2601C22semidirect
149. #2601C22semidirect
150. #2600C22semidirect
151. #2600C22semidirect
152. #2595C22semidirect
153. #2595C22semidirect
154. #2589C22semidirect
155. #2589C22semidirect
156. #2579C22semidirect
157. #2576C22semidirect
158. #2576C22semidirect
159. #2566C22semidirect
160. #2560C22semidirect
161. #2559C22semidirect
162. #2559C22semidirect
163. #2559C22semidirect
164. #2558C22semidirect
165. #2557C22semidirect
166. #2556C22semidirect
167. #2555C22semidirect
168. #2554C22semidirect
169. #2553C22semidirect
170. #2544C22semidirect
171. #2534C22semidirect
172. #2531C22semidirect
173. #2530C22semidirect
174. #2527C22semidirect
175. #2526C22semidirect
176. #2522C22semidirect
177. #2521C22semidirect
178. #2516C22semidirect
179. #2515C22semidirect
180. #2479C22semidirect
181. #2478C22semidirect
182. #2477C22semidirect
183. #2476C22semidirect
184. #2475C22semidirect
185. #2474C22semidirect
186. #2471C22semidirect
187. #2470C22semidirect
188. #2468C22semidirect
189. #2468C22semidirect
190. #2467C22semidirect
191. #2467C22semidirect
192. #2466C22semidirect
193. #2466C22semidirect
194. #2463C22semidirect
195. #2460C22semidirect
196. #2460C22semidirect
197. #2459C22semidirect
198. #2459C22semidirect
199. #2457C22semidirect
200. #2457C22semidirect
201. #2456C22semidirect
202. #2456C22semidirect
203. #2455C22semidirect
204. #2454C22semidirect
205. #2449C22semidirect
206. #2447C22semidirect
207. #2443C22semidirect
208. #2427C22semidirect
209. #2424C22semidirect
210. #2420C22semidirect
211. #2418C22semidirect
212. #2407C22semidirect
213. #2407C22semidirect
214. #2406C22semidirect
215. #2404C22semidirect
216. #2383C22semidirect
217. #2379C22semidirect
218. #2377C22semidirect
219. #2375C22semidirect
220. #2374C22semidirect
221. #2373C22semidirect
222. #2373C22semidirect
223. #2372C22semidirect
224. #2366C22semidirect
225. #2361C22semidirect
226. #2361C22semidirect
227. #2358C22semidirect
228. #2335C22semidirect
229. #2335C22semidirect
230. #2333C22semidirect
231. #2332C22semidirect
232. #2319C22semidirect
233. #2319C22semidirect
238. C4×#120C22semidirect
239. C4×#120C22semidirect
240. C4×#120C22semidirect
241. C4×#120C22semidirect
242. #2280C22semidirect
243. #2280C22semidirect
244. #2280C22semidirect
261. C2×#126C23semidirect
262. C2×#126C23semidirect
263. C2×#126C23semidirect
264. C2×#125C23semidirect
265. C2×#125C23semidirect
269. C2×#124C23semidirect
282. C2×#123C23semidirect
283. C2×#123C23semidirect
290. C2×C22⋊Q8C23semidirect
291. C2×C22⋊Q8C23semidirect
292. C2×C22⋊Q8C23semidirect
322. C2×#120C23semidirect
335. C2×C4×D4C23semidirect
336. C2×C4×D4C23semidirect
340. C22×C4⋊C4C23semidirect
341. C22×C22⋊C4C23semidirect
342. #401C23semidirect
343. #401C23semidirect
344. #401C23semidirect
345. #400C23semidirect
346. #400C23semidirect
347. #400C23semidirect
348. #400C23semidirect
349. #400C23semidirect
350. #400C23semidirect
351. #400C23semidirect
352. #400C23semidirect
359. #399C23semidirect
360. #399C23semidirect
361. #399C23semidirect
362. #398C23semidirect
363. #398C23semidirect
364. #398C23semidirect
365. #398C23semidirect
366. #398C23semidirect
367. #398C23semidirect
368. #398C23semidirect
369. #398C23semidirect
370. #398C23semidirect
371. #398C23semidirect
372. #398C23semidirect
373. #398C23semidirect
386. #397C23semidirect
387. #397C23semidirect
388. #397C23semidirect
389. #397C23semidirect
390. #397C23semidirect
391. #397C23semidirect
392. #397C23semidirect
403. #396C23semidirect
404. #396C23semidirect
405. #396C23semidirect
406. #396C23semidirect
407. #396C23semidirect
408. #396C23semidirect
409. #396C23semidirect
410. #395C23semidirect
411. #395C23semidirect
412. #395C23semidirect
413. #395C23semidirect
446. #394C23semidirect
447. #394C23semidirect
448. #394C23semidirect
449. #394C23semidirect
450. #394C23semidirect
451. #394C23semidirect
452. #394C23semidirect
457. #393C23semidirect
458. #393C23semidirect
471. #392C23semidirect
472. #392C23semidirect
473. #392C23semidirect
474. #391C23semidirect
475. #391C23semidirect
476. #391C23semidirect
477. #391C23semidirect
478. #391C23semidirect
479. #391C23semidirect
496. #390C23semidirect
497. #390C23semidirect
498. #390C23semidirect
499. #389C23semidirect
500. #389C23semidirect
501. #389C23semidirect
502. #389C23semidirect
503. #389C23semidirect
504. #389C23semidirect
505. #389C23semidirect
506. #389C23semidirect
507. #389C23semidirect
508. #389C23semidirect
509. #389C23semidirect
538. #388C23semidirect
539. #388C23semidirect
540. #388C23semidirect
541. #388C23semidirect
542. #388C23semidirect
543. #388C23semidirect
544. #388C23semidirect
545. #388C23semidirect
546. #388C23semidirect
547. #388C23semidirect
548. #388C23semidirect
549. #388C23semidirect
550. #388C23semidirect
551. #388C23semidirect
552. #388C23semidirect
553. #388C23semidirect
554. #388C23semidirect
555. #388C23semidirect
556. #388C23semidirect
557. #388C23semidirect
558. #388C23semidirect
559. #388C23semidirect
560. #388C23semidirect
561. #387C23semidirect
562. #387C23semidirect
563. #387C23semidirect
564. #387C23semidirect
565. #387C23semidirect
566. #387C23semidirect
567. #387C23semidirect
568. #387C23semidirect
569. #387C23semidirect
570. #387C23semidirect
571. #387C23semidirect
572. #387C23semidirect
573. #387C23semidirect
574. #387C23semidirect
575. #387C23semidirect
576. #387C23semidirect
577. #387C23semidirect
578. #387C23semidirect
579. #387C23semidirect
580. #387C23semidirect
581. #387C23semidirect
618. #386C23semidirect
619. #386C23semidirect
620. #386C23semidirect
621. #386C23semidirect
622. #386C23semidirect
623. #386C23semidirect
624. #386C23semidirect
649. #385C23semidirect
650. #385C23semidirect
651. #385C23semidirect
652. #385C23semidirect
653. #385C23semidirect
654. #385C23semidirect
655. #385C23semidirect
656. #385C23semidirect
657. #385C23semidirect
658. #384C23semidirect
659. #383C23semidirect
660. #382C23semidirect
661. #382C23semidirect
668. #381C23semidirect
669. #381C23semidirect
670. #381C23semidirect
683. #380C23semidirect
684. #380C23semidirect
685. #380C23semidirect
700. #379C23semidirect
701. #379C23semidirect
702. C4×C4⋊C4C23semidirect
703. C4×C4⋊C4C23semidirect
704. C4×C4⋊C4C23semidirect
705. C4×C4⋊C4C23semidirect
706. C4×C4⋊C4C23semidirect
707. C4×C4⋊C4C23semidirect
720. C4×C22⋊C4C23semidirect
721. C4×C22⋊C4C23semidirect
722. C4×C22⋊C4C23semidirect
723. C4×C22⋊C4C23semidirect
724. #376C23semidirect
725. #376C23semidirect

Maximal subgroups

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

subgroupindex
#600372
#600312
#531792
#531782
#531692
#531582
#456602
#456382
#456152
#455912
#380152
#380142
#379912
#379902
#378252
#378242
#378012
#378002
#367342
#367332
#367242
#367232
#366142