Finite Group Databasebeta

← #8726335

Subgroups — #8726335

Order 512.

5368 conjugacy classes of subgroups.

The subgroup lattice has 1594 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59393C212yesmaximal, complemented
2#59128C212yesmaximal, complemented
3#59080C212yesmaximal, complemented
4#58998C211yesmaximal, characteristic, complemented
5#58996C212yesmaximal, complemented
6#57151C212yesmaximal, complemented
7#56418C214yesmaximal, complemented
8#55150C214yesmaximal, complemented
9#53716C214yesmaximal, complemented
10#53096C212yesmaximal, complemented
11#53018C211yesmaximal, characteristic, complemented
12#52292C211yesmaximal, characteristic, complemented
13#46465C214yesmaximal, complemented
14#46431C212yesmaximal, complemented
15#45422C211yesmaximal, characteristic, complemented
16#45377C212yesmaximal, complemented
17#45028C212yesmaximal, complemented
18#43476C214yesmaximal, complemented
19#42834C212yesmaximal, complemented
20#42679C211yesmaximal, characteristic, complemented
21#41877C212yesmaximal, complemented
22#41200C214yesmaximal, complemented
23#40221C212yesmaximal, complemented
24#39888C212yesmaximal, complemented
25#39133C212yesmaximal, complemented
26#39132C211yesmaximal, characteristic, complemented
27#39006C212yesmaximal, complemented
28#35985C211yesmaximal, characteristic, complemented
29#35771C212yesmaximal, complemented
30C2×#553C2211yescharacteristic
31C2×D4×Q8C2212yescomplemented
32C2×#548C2212yes—
33C2×#548C2212yescomplemented
34C2×#548C2212yescomplemented
35C2×#547C2211yescharacteristic, complemented
36C2×#546C2212yes—
37C2×#532C2212yescomplemented
38C22×C22⋊Q8C2212yes—
39C22×#121C2211yescharacteristic
40C2×#519C2211yescharacteristic, complemented
41#2854C2212yescomplemented
42#2847C2211yescharacteristic
43#2842C2212yes—
44#2831C2214yescomplemented
45#2829C2214yescomplemented
46#2829C2214yescomplemented
47#2826C2214yescomplemented
48#2823C2212yescomplemented
49#2813C2214yescomplemented
50#2813C2214yescomplemented
51#2813C2212yescomplemented
52#2807C2211yescharacteristic
53#2801C2214yescomplemented
54#2800C2214yescomplemented
55#2796C2212yescomplemented
56#2795C2212yescomplemented
57#2790C2214yescomplemented
58#2788C2214yescomplemented
59#2780C2214yes—
60#2780C2212yescomplemented
61#2780C2214yescomplemented
62#2780C2214yescomplemented
63#2778C2212yes—
64#2768C2214yescomplemented
65#2752C2214yescomplemented
66#2750C2214yescomplemented
67#2750C2214yescomplemented
68#2748C2214yescomplemented
69#2746C2212yescomplemented
70#2745C2214yescomplemented
71#2735C2212yes—
72#2735C2211yescharacteristic
73#2732C2214yes—
74#2732C2214yescomplemented
75#2730C2214yes—
76#2730C2214yescomplemented
77#2718C2214yescomplemented
78#2718C2214yescomplemented
79#2714C2214yes—
80#2709C2214yescomplemented
81#2706C2214yescomplemented
82#2703C2214yes—
83#2701C2214yescomplemented
84#2701C2214yescomplemented
85#2699C2214yescomplemented
86#2695C2214yescomplemented
87#2693C2211yescharacteristic
88#2693C2214yescomplemented
89#2688C2212yescomplemented
90#2685C2214yes—
91#2683C2212yes—
92#2682C2214yescomplemented
93#2682C2214yescomplemented
94#2681C2214yes—
95#2678C2214yes—
96#2678C2212yes—
97#2678C2214yes—
98#2677C2212yes—
99#2676C2214yes—
100#2676C2214yescomplemented
101#2676C2214yescomplemented
102#2675C2214yescomplemented
103#2675C2212yescomplemented
104#2673C2214yes—
105#2673C2214yescomplemented
106#2672C2214yescomplemented
107#2672C2214yescomplemented
108#2670C2212yes—
109#2668C2211yescharacteristic
110#2651C2214yescomplemented
111#2650C2214yescomplemented
112#2649C2214yescomplemented
113#2648C2214yescomplemented
114#2642C2211yescharacteristic, complemented
115#2637C2212yescomplemented
116#2635C2212yes—
117#2630C2214yescomplemented
118#2624C2211yescharacteristic, complemented
119#2623C2212yescomplemented
120#2620C2212yescomplemented
121#2620C2214yescomplemented
122#2618C2214yescomplemented
123#2617C2212yes—
124#2608C2214yescomplemented
125#2604C2212yescomplemented
126#2602C2214yescomplemented
127#2602C2214yescomplemented
128#2597C2214yescomplemented
129#2590C2214yescomplemented
130#2587C2214yescomplemented
131#2585C2214yescomplemented
132#2580C2212yes—
133#2562C2211yescharacteristic, complemented
134#2555C2214yescomplemented
135#2554C2214yescomplemented
136#2554C2214yescomplemented
137#2548C2212yescomplemented
138#2545C2212yescomplemented
139#2545C2212yescomplemented
140#2545C2214yescomplemented
141#2542C2211yescharacteristic
142#2541C2212yes—
143#2540C2212yes—
144#2539C2214yes—
145#2538C2212yes—
146#2538C2212yescomplemented
147#2538C2214yescomplemented
148#2537C2212yescomplemented
149#2534C2214yes—
150#2534C2214yes—
151#2531C2214yescomplemented
152#2522C2214yes—
153#2516C2214yescomplemented
154#2512C2212yescomplemented
155#2511C2212yescomplemented
156#2507C2212yescomplemented
157#2501C2212yescomplemented
158#2497C2214yes—
159#2497C2212yescomplemented
160#2491C2214yescomplemented
161#2490C2212yes—
162#2487C2212yes—
163#2486C2212yescomplemented
164#2476C2214yes—
165#2472C2214yes—
166#2470C2214yescomplemented
167#2464C2214yescomplemented
168#2464C2214yescomplemented
169#2463C2214yescomplemented
170#2463C2214yescomplemented
171#2461C2214yescomplemented
172#2456C2214yescomplemented
173#2455C2212yescomplemented
174#2453C2212yescomplemented
175#2452C2214yescomplemented
176#2449C2214yescomplemented
177#2449C2214yescomplemented
178#2447C2212yescomplemented
179#2445C2212yescomplemented
180#2443C2214yes—
181#2440C2214yescomplemented
182#2437C2212yes—
183#2437C2212yes—
184#2437C2214yes—
185#2436C2212yes—
186#2436C2211yescharacteristic, complemented
187#2435C2212yes—
188#2434C2212yescomplemented
189#2433C2211yescharacteristic
190#2433C2212yes—
191#2431C2212yescomplemented
192#2429C2212yes—
193#2429C2212yescomplemented
194#2429C2214yescomplemented
195#2428C2212yes—
196#2428C2214yescomplemented
197#2427C2212yes—
198#2426C2212yes—
199#2426C2212yes—
200#2426C2212yescomplemented
201#2426C2214yescomplemented
202#2426C2212yescomplemented
203#2424C2214yes—
204#2423C2212yes—
205#2423C2212yescomplemented
206#2422C2214yescomplemented
207#2417C2212yes—
208#2417C2212yescomplemented
209#2416C2212yes—
210#2416C2214yes—
211#2415C2212yescomplemented
212#2415C2214yescomplemented
213#2414C2212yes—
214#2414C2214yescomplemented
215#2410C2214yes—
216#2409C2211yescharacteristic
217#2408C2211yescharacteristic
218#2408C2212yes—
219#2407C2212yes—
220#2407C2212yes—
221#2407C2212yescomplemented
222#2407C2212yescomplemented
223#2407C2212yescomplemented
224#2401C2212yescomplemented
225#2398C2212yes—
226#2397C2211yescharacteristic
227#2395C2211yescharacteristic
228#2392C2212yescomplemented
229#2392C2214yescomplemented
230#2374C2214yes—
231#2367C2212yescomplemented
232#2366C2214yescomplemented
233#2365C2212yescomplemented
234#2361C2212yes—
235#2361C2214yescomplemented
236#2360C2212yes—
237#2360C2212yescomplemented
238#2358C2212yes—
239Q8×C4⋊C4C2212yescomplemented
240#2346C2211yescharacteristic, complemented
241#2345C2211yescharacteristic
242#2341C2212yescomplemented
243Q8×C22⋊C4C2212yescomplemented
244D4×C22⋊C4C2214yes—
245#2333C2214yescomplemented
246#2326C2212yescomplemented
247#2322C2214yescomplemented
248#2321C2212yes—
249#2321C2214yes—
250#2319C2214yescomplemented
251#2319C2211yescharacteristic, complemented
252C4×C22⋊Q8C2212yescomplemented
253C4×C22⋊Q8C2212yescomplemented
254C4×#123C2212yes—
255C4×#121C2212yescomplemented
256C4×#121C2212yescomplemented
257C4×#120C2212yes—
258C4×#120C2211yescharacteristic
259C22×#41C2312yes—
260C22×#41C2312yes—
261C23×Q8C2311yescharacteristic
262C23×Q8C2312yes—
263C23×D4C2312yes—
264C23×D4C2311yescharacteristic
265C24×C4C2311yescharacteristic
266#553—44no—
267D4×Q8—48no—
268#548—48no—
269#548—48no—
270#548—48no—
271#547—44no—
272#546—48no—
273#532—48no—
274C2×C4⋊Q8C2312yes—
275C2×C4⋊Q8C2311yescharacteristic
276C2×C4⋊Q8C2314yes—
277C2×#127C2314yes—
278C2×#127C2312yes—
279C2×#126C2312yes—
280C2×#126C2314yes—
281C2×#125C2311yescharacteristic
282C2×#124C2312yes—
283C2×#124C2312yes—
284C2×#124C2314yes—
285C2×#124C2312yes—
286C2×#124C2314yes—
287C2×#124C2312yes—
288C2×#124C2314yes—
289C2×#123C2312yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2312yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×C22⋊Q8—48no—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2314yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2314yes—
308C2×C22⋊Q8C2314yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2314yes—
312C2×C22⋊Q8C2314yes—
313C2×#121—44no—
314C2×#121C2312yes—
315C2×#121C2314yes—
316C2×#121C2311yescharacteristic
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2314yes—
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2312yes—
323C2×#121C2314yes—
324C2×#121C2311yescharacteristic
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2312yes—
334C2×#121C2314yes—
335C2×#120C2312yes—
336C2×#120C2311yescharacteristic
337C2×#120C2312yes—
338C2×#120C2314yes—
339C2×#120C2312yes—
340C2×#120C2312yes—
341C2×#120C2312yes—
342#519—44no—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2314yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2314yes—
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2314yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2312yes—
374C22×C22⋊C4C2314yes—
375C22×C22⋊C4C2312yes—
376C22×C22⋊C4C2314yes—
377C22×C42C2312yes—
378#401C2312yes—
379#400C2312yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2311yescharacteristic
386#400C2312yes—
387#400C2312yes—
388#400C2314yes—
389#400C2312yes—
390#400C2312yes—
391#399C2314yes—
392#399C2312yes—
393#399C2311yescharacteristic
394#399C2312yes—
395#399C2312yes—
396#399C2314yes—
397#399C2311yescharacteristic
398#399C2314yes—
399#399C2314yes—
400#399C2312yes—
401#399C2311yescharacteristic
402#399C2314yes—
403#398C2311yescharacteristic
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#397C2312yes—
416#397C2314yes—
417#397C2312yes—
418#397C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2312yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2312yes—
427#397C2311yescharacteristic
428#397C2312yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2312yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2312yes—
449#396C2314yes—
450#396C2312yes—
451#396C2314yes—
452#396C2314yes—
453#395C2314yes—
454#395C2312yes—
455#395C2314yes—
456#394C2312yes—
457#394C2314yes—
458#394C2312yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2312yes—
478#394C2314yes—
479#394C2314yes—
480#394C2312yes—
481#394C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#393C2314yes—
489#393C2312yes—
490#393C2312yes—
491#393C2312yes—
492#393C2314yes—
493#392C2314yes—
494#392C2312yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2311yescharacteristic
499#392C2314yes—
500#392C2314yes—
501#392C2312yes—
502#392C2314yes—
503#392C2311yescharacteristic
504#392C2312yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#391C2314yes—
512#391C2312yes—
513#391C2312yes—
514#391C2314yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#390C2314yes—
520#390C2314yes—
521#390C2314yes—
522#390C2312yes—
523#390C2314yes—
524#390C2314yes—
525#390C2314yes—
526#390C2312yes—
527#390C2314yes—
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2314yes—
534#390C2312yes—
535#390C2314yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2312yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2312yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2312yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2311yescharacteristic
632#386C2312yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2312yes—
637#386C2312yes—
638#386C2312yes—
639#386C2312yes—
640#386C2312yes—
641#386C2312yes—
642#386C2312yes—
643#385C2314yes—
644#385C2311yescharacteristic
645#385C2314yes—
646#385C2312yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2312yes—
666#384C2312yes—
667#384C2312yes—
668#384C2314yes—
669#384C2312yes—
670#382C2312yes—
671#381C2314yes—
672#381C2312yes—
673#381C2314yes—
674#381C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2314yes—
678#380C2314yes—
679#380C2312yes—
680#380C2312yes—
681#380C2311yescharacteristic
682#380C2314yes—
683#380C2314yes—
684#380C2314yes—
685#380C2312yes—
686#380C2311yescharacteristic
687#380C2312yes—
688#380C2314yes—
689#380C2312yes—
690#380C2312yes—
691#379C2312yes—
692#379C2314yes—
693#379C2312yes—
694#379C2314yes—
695#379C2311yescharacteristic
696C4×C4⋊C4C2311yescharacteristic
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2314yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2311yescharacteristic
715C4×C22⋊C4C2311yescharacteristic
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2314yes—
721#376C2312yes—
722#376C2311yescharacteristic
723C25C2411yescharacteristic
724C25C2412yes—
725C2×#41—28no—
726C2×#41—44no—
727C2×#41—44no—
728C2×#41—44no—
729C2×#41—44no—
730C2×#41—44no—
731C22×Q8—28no—
732C22×Q8—28no—
733C22×Q8—42no—
734C22×Q8—44no—
735C22×Q8—44no—
736C22×Q8C2412yes—
737C22×Q8C2412yes—
738C22×Q8C2412yes—
739C22×Q8C2414yes—
740C22×D4—42no—
741C22×D4—44no—
742C22×D4—44no—
743C22×D4—48no—
744C22×D4C2412yes—
745C22×D4C2411yescharacteristic
746C22×D4C2412yes—
747C22×D4C2414yes—
748C22×D4C2412yes—
749C22×D4C2411yescharacteristic
750C22×D4C2412yes—
751C22×D4C2412yes—
752C22×D4C2412yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2414yes—
759C22×D4C2412yes—
760C22×D4C2411yescharacteristic
761C22×D4C2414yes—
762C22×D4C2412yes—
763C22×D4C2414yes—
764C22×D4C2412yes—
765C23×C4—42no—
766C23×C4—44no—
767C23×C4C2412yes—
768C23×C4C2411yescharacteristic
769C23×C4C2411yescharacteristic
770C23×C4C2412yes—
771C23×C4C2412yes—
772C23×C4C2414yes—
773C23×C4C2414yes—
774C23×C4C2412yes—
775C23×C4C2414yes—
776C23×C4C2412yes—
777C23×C4C2412yes—
778C23×C4C2411yescharacteristic
779C23×C4C2414yes—
780C23×C4C2412yes—
781C23×C4C2414yes—
782C23×C4C2412yes—
783C4⋊Q8—28no—
784C4⋊Q8—42no—
785C4⋊Q8—48no—
786#127—44no—
787#127—48no—
788#126—44no—
789#126—84no—
790#125—42no—
791#124—28no—
792#124—28no—
793#124—48no—
794#124—44no—
795#124—44no—
796#124—48no—
797#124—48no—
798#123—28no—
799#123—48no—
800#123—48no—
801#123—44no—
802#123—48no—
803#123—84no—
804#123—84no—
805#123—84no—
806#123—84no—
807C22⋊Q8—28no—
808C22⋊Q8—28no—
809C22⋊Q8—28no—
810C22⋊Q8—28no—
811C22⋊Q8—48no—
812C22⋊Q8—48no—
813C22⋊Q8—48no—
814C22⋊Q8—48no—
815C22⋊Q8—48no—
816C22⋊Q8—48no—
817C22⋊Q8—48no—
818C22⋊Q8—44no—
819C22⋊Q8—44no—
820C22⋊Q8—44no—
821#121—28no—
822#121—44no—
823#121—48no—
824#121—48no—
825#121—44no—
826#121—48no—
827#121—48no—
828#121—48no—
829#121—48no—
830#121—48no—
831#121—44no—
832#121—48no—
833#121—44no—
834#121—44no—
835#121—44no—
836#121—44no—
837#121—44no—
838#121—42no—
839#121—42no—
840#121—48no—
841#121—84no—
842#120—24no—
843#120—28no—
844#120—48no—
845#120—44no—
846#120—82no—
847#120—82no—
848#120—82no—
849C4×Q8—28no—
850C4×Q8—44no—
851C4×Q8—44no—
852C4×Q8—44no—
853C4×Q8—44no—
854C4×Q8—44no—
855C4×Q8—44no—
856C4×D4—24no—
857C4×D4—44no—
858C4×D4—48no—
859C4×D4—44no—
860C4×D4—42no—
861C4×D4—44no—
862C4×D4—44no—
863C4×D4—44no—
864C4×D4—44no—
865C4×D4—44no—
866C4×D4—42no—
867C4×D4—48no—
868C4×D4—48no—
869C4×D4—48no—
870C4×D4—48no—
871C4×D4—48no—
872C4×D4—48no—
873#117—24no—
874#117—42no—
875#117—48no—
876C2×C4⋊C4—24no—
877C2×C4⋊C4—44no—
878C2×C4⋊C4—48no—
879C2×C4⋊C4—44no—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C22⋊C4—44no—
932C2×C22⋊C4—48no—
933C2×C22⋊C4—48no—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2411yescharacteristic
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2411yescharacteristic
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C42—44no—
1005C2×C42C2412yes—
1006C2×C42C2414yes—
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2411yescharacteristic
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2414yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2414yes—
1016C2×C42C2414yes—
1017C2×C42C2414yes—
1018C2×C42C2414yes—
1019C2×C42C2412yes—
1020C2×C42C2414yes—
1021#95C2411yescharacteristic
1022#95C2412yes—
1023#95C2411yescharacteristic
1024#95C2414yes—
1025#95C2411yescharacteristic
1026#95C2412yes—
1027#95C2412yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2414yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2411yescharacteristic
1040#95C2414yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2414yes—
1070C24—22no—
1071C24—24no—
1072C24—24no—
1073C24—42no—
1074C24—41no—
1075C24—42no—
1076C24—41no—
1077C24—44no—
1078C24—44no—
1079C24—42no—
1080C24C2514yes—
1081C24C2511yescharacteristic
1082C24C2512yes—
1083C24C2512yes—
1084C24C2511yescharacteristic
1085C24C2512yes—
1086#41—816no—
1087#41—816no—
1088C2×Q8—24no—
1089C2×Q8—24no—
1090C2×Q8—24no—
1091C2×Q8—24no—
1092C2×Q8—28no—
1093C2×Q8—24no—
1094C2×Q8—28no—
1095C2×Q8—42no—
1096C2×Q8—44no—
1097C2×Q8—44no—
1098C2×Q8—416no—
1099C2×Q8—816no—
1100C2×Q8H(5,𝔽2)18yes—
1101C2×D4—28no—
1102C2×D4—24no—
1103C2×D4—22no—
1104C2×D4—24no—
1105C2×D4—24no—
1106C2×D4—24no—
1107C2×D4—24no—
1108C2×D4—28no—
1109C2×D4—28no—
1110C2×D4—22no—
1111C2×D4—28no—
1112C2×D4—24no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—24no—
1116C2×D4—28no—
1117C2×D4—24no—
1118C2×D4—28no—
1119C2×D4—42no—
1120C2×D4—44no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—41no—
1126C2×D4—42no—
1127C2×D4—41no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—41no—
1135C2×D4—42no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—42no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—42no—
1148C2×D4—44no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—42no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—88no—
1161C2×D4—816no—
1162C22×C4—28no—
1163C22×C4—24no—
1164C22×C4—22no—
1165C22×C4—24no—
1166C22×C4—22no—
1167C22×C4—28no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—28no—
1176C22×C4—28no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—41no—
1183C22×C4—44no—
1184C22×C4—42no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—44no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—44no—
1199C22×C4—42no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—88no—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2514yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2514yes—
1220C22×C4C2512yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2514yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2514yes—
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C4⋊C4—22no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—28no—
1232C4⋊C4—24no—
1233C4⋊C4—28no—
1234C4⋊C4—28no—
1235C4⋊C4—22no—
1236C4⋊C4—28no—
1237C4⋊C4—28no—
1238C4⋊C4—28no—
1239C4⋊C4—28no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—41no—
1244C4⋊C4—42no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—44no—
1252C4⋊C4—42no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—41no—
1258C4⋊C4—42no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4H(5,𝔽2)14yes—
1279C22⋊C4—24no—
1280C22⋊C4—24no—
1281C22⋊C4—24no—
1282C22⋊C4—24no—
1283C22⋊C4—28no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
1286C22⋊C4—28no—
1287C22⋊C4—24no—
1288C22⋊C4—24no—
1289C22⋊C4—28no—
1290C22⋊C4—28no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—28no—
1294C22⋊C4—24no—
1295C22⋊C4—28no—
1296C22⋊C4—24no—
1297C22⋊C4—42no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—42no—
1303C22⋊C4—44no—
1304C22⋊C4—42no—
1305C22⋊C4—41no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—44no—
1309C22⋊C4—42no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—44no—
1316C22⋊C4—42no—
1317C22⋊C4—41no—
1318C22⋊C4—42no—
1319C22⋊C4—44no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—41no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C42−1+414yes—
1349C42—24no—
1350C42—24no—
1351C42—24no—
1352C42—28no—
1353C42—24no—
1354C42—22no—
1355C42—24no—
1356C42—42no—
1357C42—42no—
1358C42—44no—
1359C42—44no—
1360C42—44no—
1361C42—44no—
1362C42—44no—
1363C42—42no—
1364C42—44no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—21no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—21no—
1375C23—21no—
1376C23—22no—
1377C23—22no—
1378C23—24no—
1379C23—24no—
1380C23—24no—
1381C23—22no—
1382C23—22no—
1383C23—24no—
1384C23—22no—
1385C23—22no—
1386C23—24no—
1387C23—21no—
1388C23—22no—
1389C23—24no—
1390C23—22no—
1391C23—24no—
1392C23—22no—
1393C23—22no—
1394C23—24no—
1395C23—22no—
1396C23—24no—
1397C23—22no—
1398C23—21no—
1399C23—44no—
1400C23—48no—
1401C23—84no—
1402C23—82no—
1403C23—88no—
1404C23—84no—
1405C23—82no—
1406C23—84no—
1407C23—84no—
1408C23—164no—
1409C23C2×2−1+412yes—
1410C23#58514yes—
1411C23C2611yescharacteristic
1412Q8—216no—
1413Q8—48no—
1414Q8—48no—
1415Q8—88no—
1416D4—48no—
1417D4—416no—
1418D4—48no—
1419D4—44no—
1420D4—88no—
1421D4—88no—
1422D4—84no—
1423D4—84no—
1424D4—84no—
1425D4—88no—
1426D4—84no—
1427D4—82no—
1428D4—88no—
1429D4—82no—
1430D4—88no—
1431D4—84no—
1432D4—88no—
1433D4—84no—
1434D4—88no—
1435D4—162no—
1436D4—164no—
1437C2×C4—22no—
1438C2×C4—24no—
1439C2×C4—24no—
1440C2×C4—22no—
1441C2×C4—24no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—24no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—24no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—48no—
1496C2×C4—44no—
1497C2×C4—48no—
1498C2×C4—44no—
1499C2×C4—48no—
1500C2×C4—84no—
1501C2×C4—84no—
1502C2×C4—84no—
1503C2×C4—88no—
1504C2×C4—88no—
1505C2×C4—88no—
1506C2×C4—84no—
1507C2×C4—84no—
1508C2×C4—82no—
1509C2×C4—88no—
1510C2×C4—164no—
1511C2×C4C2×H(5,𝔽2)14yes—
1512C2×C4C2×H(5,𝔽2)18yes—
1513C2×C4C2×H(5,𝔽2)14yes—
1514C2×C4C2×H(5,𝔽2)12yes—
1515C2×C4C2×2−1+414yes—
1516C22—24no—
1517C22—24no—
1518C22—24no—
1519C22—24no—
1520C22—22no—
1521C22—42no—
1522C22—41no—
1523C22—42no—
1524C22—41no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22—41no—
1529C22—42no—
1530C22—42no—
1531C22—44no—
1532C22—42no—
1533C22—42no—
1534C22—44no—
1535C22—44no—
1536C22—42no—
1537C22—44no—
1538C22—42no—
1539C22—44no—
1540C22—42no—
1541C22—41no—
1542C22—42no—
1543C22—44no—
1544C22—42no—
1545C22—42no—
1546C22—44no—
1547C22—44no—
1548C22—41no—
1549C22—42no—
1550C22—42no—
1551C22—44no—
1552C22—88no—
1553C22—168no—
1554C22C22×H(5,𝔽2)12yes—
1555C22C22×H(5,𝔽2)11yescharacteristic
1556C22C22×2−1+411yescharacteristic
1557C22C2×#58512yes—
1558C22H(7,𝔽2)11yescharacteristic
1559C4—28no—
1560C4—24no—
1561C4—24no—
1562C4—42no—
1563C4—41no—
1564C4—42no—
1565C4—41no—
1566C4—44no—
1567C4—42no—
1568C4—42no—
1569C4—41no—
1570C4—42no—
1571C4—42no—
1572C4—44no—
1573C4—44no—
1574C4—42no—
1575C4—42no—
1576C4—42no—
1577C4—44no—
1578C4—42no—
1579C4—42no—
1580C4—41no—
1581C4#353714yes—
1582C2—44no—
1583C2—42no—
1584C2—81no—
1585C2—82no—
1586C2—82no—
1587C2—84no—
1588C2C2×#353711yescharacteristic
1589C2#6289912yes—
1590C2#6291711yescharacteristic
1591C2#6301512yes—
1592C2#6301711yescharacteristic
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. #59393C2semidirect
2. #59128C2semidirect
3. #59080C2semidirect
4. #58998C2semidirect
5. #58996C2semidirect
6. #57151C2semidirect
7. #56418C2semidirect
8. #55150C2semidirect
9. #53716C2semidirect
10. #53096C2semidirect
11. #53018C2semidirect
12. #52292C2semidirect
13. #46465C2semidirect
14. #46431C2semidirect
15. #45422C2semidirect
16. #45377C2semidirect
17. #45028C2semidirect
18. #43476C2semidirect
19. #42834C2semidirect
20. #42679C2semidirect
21. #41877C2semidirect
22. #41200C2semidirect
23. #40221C2semidirect
24. #39888C2semidirect
25. #39133C2semidirect
26. #39132C2semidirect
27. #39006C2semidirect
28. #35985C2semidirect
29. #35771C2semidirect
31. C2×D4×Q8C22semidirect
33. C2×#548C22semidirect
34. C2×#548C22semidirect
35. C2×#547C22semidirect
37. C2×#532C22semidirect
40. C2×#519C22semidirect
41. #2854C22semidirect
44. #2831C22semidirect
45. #2829C22semidirect
46. #2829C22semidirect
47. #2826C22semidirect
48. #2823C22semidirect
49. #2813C22semidirect
50. #2813C22semidirect
51. #2813C22semidirect
53. #2801C22semidirect
54. #2800C22semidirect
55. #2796C22semidirect
56. #2795C22semidirect
57. #2790C22semidirect
58. #2788C22semidirect
60. #2780C22semidirect
61. #2780C22semidirect
62. #2780C22semidirect
64. #2768C22semidirect
65. #2752C22semidirect
66. #2750C22semidirect
67. #2750C22semidirect
68. #2748C22semidirect
69. #2746C22semidirect
70. #2745C22semidirect
74. #2732C22semidirect
76. #2730C22semidirect
77. #2718C22semidirect
78. #2718C22semidirect
80. #2709C22semidirect
81. #2706C22semidirect
83. #2701C22semidirect
84. #2701C22semidirect
85. #2699C22semidirect
86. #2695C22semidirect
88. #2693C22semidirect
89. #2688C22semidirect
92. #2682C22semidirect
93. #2682C22semidirect
100. #2676C22semidirect
101. #2676C22semidirect
102. #2675C22semidirect
103. #2675C22semidirect
105. #2673C22semidirect
106. #2672C22semidirect
107. #2672C22semidirect
110. #2651C22semidirect
111. #2650C22semidirect
112. #2649C22semidirect
113. #2648C22semidirect
114. #2642C22semidirect
115. #2637C22semidirect
117. #2630C22semidirect
118. #2624C22semidirect
119. #2623C22semidirect
120. #2620C22semidirect
121. #2620C22semidirect
122. #2618C22semidirect
124. #2608C22semidirect
125. #2604C22semidirect
126. #2602C22semidirect
127. #2602C22semidirect
128. #2597C22semidirect
129. #2590C22semidirect
130. #2587C22semidirect
131. #2585C22semidirect
133. #2562C22semidirect
134. #2555C22semidirect
135. #2554C22semidirect
136. #2554C22semidirect
137. #2548C22semidirect
138. #2545C22semidirect
139. #2545C22semidirect
140. #2545C22semidirect
146. #2538C22semidirect
147. #2538C22semidirect
148. #2537C22semidirect
151. #2531C22semidirect
153. #2516C22semidirect
154. #2512C22semidirect
155. #2511C22semidirect
156. #2507C22semidirect
157. #2501C22semidirect
159. #2497C22semidirect
160. #2491C22semidirect
163. #2486C22semidirect
166. #2470C22semidirect
167. #2464C22semidirect
168. #2464C22semidirect
169. #2463C22semidirect
170. #2463C22semidirect
171. #2461C22semidirect
172. #2456C22semidirect
173. #2455C22semidirect
174. #2453C22semidirect
175. #2452C22semidirect
176. #2449C22semidirect
177. #2449C22semidirect
178. #2447C22semidirect
179. #2445C22semidirect
181. #2440C22semidirect
186. #2436C22semidirect
188. #2434C22semidirect
191. #2431C22semidirect
193. #2429C22semidirect
194. #2429C22semidirect
196. #2428C22semidirect
200. #2426C22semidirect
201. #2426C22semidirect
202. #2426C22semidirect
205. #2423C22semidirect
206. #2422C22semidirect
208. #2417C22semidirect
211. #2415C22semidirect
212. #2415C22semidirect
214. #2414C22semidirect
221. #2407C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
224. #2401C22semidirect
228. #2392C22semidirect
229. #2392C22semidirect
231. #2367C22semidirect
232. #2366C22semidirect
233. #2365C22semidirect
235. #2361C22semidirect
237. #2360C22semidirect
239. Q8×C4⋊C4C22semidirect
240. #2346C22semidirect
242. #2341C22semidirect
243. Q8×C22⋊C4C22semidirect
245. #2333C22semidirect
246. #2326C22semidirect
247. #2322C22semidirect
250. #2319C22semidirect
251. #2319C22semidirect
252. C4×C22⋊Q8C22semidirect
253. C4×C22⋊Q8C22semidirect
255. C4×#121C22semidirect
256. C4×#121C22semidirect

Maximal subgroups

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

subgroupindex
#593932
#591282
#590802
#589982
#589962
#571512
#564182
#551502
#537162
#530962
#530182
#522922
#464652
#464312
#454222
#453772
#450282
#434762
#428342
#426792
#418772
#412002
#402212
#398882
#391332
#391322
#390062
#359852
#357712