Finite Group Databasebeta

← #7968944

Subgroups — #7968944

Order 512.

4887 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59768C212yesmaximal, complemented
2#59627C212yesmaximal, complemented
3#59421C211yesmaximal, characteristic, complemented
4#59249C211yesmaximal, characteristic, complemented
5#59228C211yesmaximal, characteristic, complemented
6#48694C214yesmaximal, complemented
7#48313C214yesmaximal, complemented
8#45667C212yesmaximal, complemented
9#45663C212yesmaximal, complemented
10#45420C212yesmaximal, complemented
11#45392C212yesmaximal, complemented
12#43582C214yesmaximal, complemented
13#42724C212yesmaximal, complemented
14#42627C212yesmaximal, complemented
15#40677C214yesmaximal, complemented
16#39960C212yesmaximal, complemented
17#39910C212yesmaximal, complemented
18#39904C212yesmaximal, complemented
19#39784C212yesmaximal, complemented
20#38978C211yesmaximal, characteristic, complemented
21#38911C211yesmaximal, characteristic, complemented
22#38130C212yesmaximal, complemented
23#36579C211yesmaximal, characteristic, complemented
24#36444C211yesmaximal, characteristic, complemented
25#36210C211yesmaximal, characteristic, complemented
26#36204C212yesmaximal, complemented
27#36174C211yesmaximal, characteristic, complemented
28#36161C211yesmaximal, characteristic, complemented
29#35236C211yesmaximal, characteristic, complemented
30#35206C211yesmaximal, characteristic, complemented
31#35023C212yesmaximal, complemented
32#34952C211yesmaximal, characteristic, complemented
33#34708C211yesmaximal, characteristic, complemented
34#34474C212yesmaximal, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic, complemented
38C2×#548C2212yes—
39C2×#546C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42C22×C4×Q8C2211yescharacteristic, complemented
43C22×C4×D4C2211yescharacteristic
44#2859C2211yescharacteristic, complemented
45#2857C2211yescharacteristic
46#2857C2212yescomplemented
47#2857C2211yescharacteristic, complemented
48#2855C2212yescomplemented
49#2851C2212yescomplemented
50#2850C2212yes—
51#2850C2212yescomplemented
52#2848C2212yes—
53#2848C2212yes—
54#2847C2212yes—
55#2835C2214yescomplemented
56#2824C2214yes—
57#2797C2214yes—
58#2797C2214yescomplemented
59#2796C2214yescomplemented
60#2796C2214yescomplemented
61#2782C2214yes—
62#2782C2214yescomplemented
63#2779C2214yes—
64#2777C2214yescomplemented
65#2772C2214yescomplemented
66#2770C2214yescomplemented
67#2767C2214yescomplemented
68#2763C2214yes—
69#2763C2214yescomplemented
70#2758C2214yescomplemented
71#2758C2214yescomplemented
72#2757C2214yescomplemented
73#2756C2214yescomplemented
74#2754C2214yescomplemented
75#2749C2214yescomplemented
76#2743C2214yescomplemented
77#2742C2214yescomplemented
78#2738C2214yescomplemented
79#2737C2214yescomplemented
80#2737C2214yescomplemented
81#2736C2214yes—
82#2702C2214yescomplemented
83#2689C2214yescomplemented
84#2688C2214yes—
85#2687C2214yes—
86#2686C2214yes—
87#2685C2214yes—
88#2684C2214yes—
89#2668C2214yes—
90#2663C2214yes—
91#2652C2214yescomplemented
92#2649C2214yes—
93#2649C2214yescomplemented
94#2644C2212yes—
95#2643C2214yescomplemented
96#2636C2214yes—
97#2625C2212yescomplemented
98#2622C2214yes—
99#2602C2214yes—
100#2597C2214yescomplemented
101#2596C2214yescomplemented
102#2595C2214yes—
103#2593C2214yescomplemented
104#2592C2212yes—
105#2582C2211yescharacteristic, complemented
106#2582C2211yescharacteristic, complemented
107#2581C2212yescomplemented
108#2581C2212yescomplemented
109#2580C2212yes—
110#2579C2214yescomplemented
111#2578C2214yes—
112#2578C2214yes—
113#2576C2214yescomplemented
114#2573C2214yescomplemented
115#2568C2211yescharacteristic, complemented
116#2562C2212yes—
117#2562C2212yes—
118#2562C2212yescomplemented
119#2561C2214yes—
120#2560C2214yescomplemented
121#2559C2214yes—
122#2552C2211yescharacteristic, complemented
123#2550C2212yescomplemented
124#2547C2211yescharacteristic
125#2547C2212yescomplemented
126#2540C2212yes—
127#2538C2211yescharacteristic
128#2538C2211yescharacteristic
129#2538C2211yescharacteristic
130#2537C2211yescharacteristic
131#2537C2211yescharacteristic
132#2537C2212yescomplemented
133#2532C2214yescomplemented
134#2530C2214yescomplemented
135#2527C2214yescomplemented
136#2526C2214yescomplemented
137#2525C2214yescomplemented
138#2523C2214yes—
139#2518C2214yescomplemented
140#2517C2214yescomplemented
141#2516C2214yescomplemented
142#2515C2214yescomplemented
143#2514C2212yescomplemented
144#2513C2214yescomplemented
145#2511C2212yescomplemented
146#2511C2212yescomplemented
147#2509C2212yescomplemented
148#2509C2214yescomplemented
149#2509C2212yescomplemented
150#2509C2212yescomplemented
151#2500C2212yes—
152#2499C2212yescomplemented
153#2496C2212yes—
154#2496C2212yes—
155#2495C2212yescomplemented
156#2495C2212yescomplemented
157#2495C2212yescomplemented
158#2495C2212yescomplemented
159#2495C2212yescomplemented
160#2494C2212yes—
161#2494C2212yescomplemented
162#2493C2214yescomplemented
163#2492C2212yes—
164#2492C2212yescomplemented
165#2490C2212yescomplemented
166#2490C2212yescomplemented
167#2489C2212yes—
168#2489C2212yescomplemented
169#2489C2212yescomplemented
170#2489C2212yescomplemented
171#2487C2212yes—
172#2487C2212yescomplemented
173#2485C2212yes—
174#2485C2212yes—
175#2481C2212yescomplemented
176#2481C2214yescomplemented
177#2480C2214yes—
178#2480C2214yes—
179#2478C2214yes—
180#2469C2214yescomplemented
181#2469C2212yescomplemented
182#2466C2214yes—
183#2458C2212yes—
184#2453C2211yescharacteristic, complemented
185#2448C2212yes—
186#2448C2211yescharacteristic, complemented
187#2447C2212yes—
188#2447C2212yes—
189#2447C2212yescomplemented
190#2443C2212yes—
191#2442C2211yescharacteristic, complemented
192#2441C2212yescomplemented
193#2439C2212yescomplemented
194#2436C2212yes—
195#2436C2211yescharacteristic, complemented
196#2435C2212yes—
197#2427C2212yes—
198#2427C2212yescomplemented
199#2427C2214yescomplemented
200#2426C2212yes—
201#2426C2211yescharacteristic
202#2421C2212yes—
203#2421C2211yescharacteristic
204#2421C2212yes—
205#2421C2212yescomplemented
206#2421C2212yescomplemented
207#2420C2212yes—
208#2420C2212yes—
209#2416C2211yescharacteristic
210#2415C2212yes—
211#2415C2212yes—
212#2415C2212yes—
213#2415C2214yescomplemented
214#2415C2212yescomplemented
215#2414C2212yes—
216#2414C2212yescomplemented
217#2411C2214yes—
218#2409C2212yes—
219#2409C2211yescharacteristic
220#2409C2212yescomplemented
221#2409C2212yescomplemented
222#2408C2212yes—
223#2398C2212yes—
224#2396C2214yescomplemented
225#2396C2212yescomplemented
226#2379C2214yescomplemented
227#2377C2214yescomplemented
228#2373C2214yes—
229#2370C2212yescomplemented
230#2370C2212yescomplemented
231#2368C2214yescomplemented
232#2367C2212yes—
233#2367C2211yescharacteristic
234#2364C2212yes—
235#2363C2212yes—
236#2363C2211yescharacteristic
237#2363C2212yescomplemented
238#2362C2212yescomplemented
239#2362C2212yescomplemented
240#2360C2212yes—
241#2360C2211yescharacteristic
242#2359C2212yes—
243#2358C2212yes—
244#2357C2214yescomplemented
245#2355C2211yescharacteristic, complemented
246#2355C2212yescomplemented
247#2354C2211yescharacteristic
248#2354C2211yescharacteristic, complemented
249#2354C2212yescomplemented
250#2352C2211yescharacteristic
251#2352C2212yescomplemented
252Q8×C4⋊C4C2211yescharacteristic, complemented
253#2349C2211yescharacteristic
254#2347C2212yes—
255#2347C2212yescomplemented
256#2346C2212yescomplemented
257#2342C2212yes—
258Q8×C22⋊C4C2212yescomplemented
259Q8×C22⋊C4C2212yescomplemented
260#2339C2211yescharacteristic
261D4×C22⋊C4C2211yescharacteristic
262#2337C2214yescomplemented
263#2333C2214yescomplemented
264#2332C2214yescomplemented
265#2326C2212yes—
266#2324C2212yes—
267#2324C2212yes—
268#2321C2214yes—
269#2320C2212yescomplemented
270#2320C2212yescomplemented
271#2318C2214yescomplemented
272#2310C2212yescomplemented
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×#124C2211yescharacteristic
275C4×#124C2211yescharacteristic, complemented
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2212yescomplemented
279C4×C22⋊Q8C2212yescomplemented
280C4×C22⋊Q8C2212yescomplemented
281C4×#123C2212yes—
282C4×#121C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2212yes—
285C4×#121C2211yescharacteristic, complemented
286C4×#121C2212yescomplemented
287C4×#120C2212yes—
288#2297C2212yes—
289#2296C2212yescomplemented
290#2295C2211yescharacteristic, complemented
291#2290C2212yescomplemented
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic, complemented
294#2283C2212yescomplemented
295#2280C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301C23×Q8C2311yescharacteristic
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304#556—44no—
305D4×Q8—44no—
306#548—216no—
307#546—28no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310#529—44no—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2312yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#124C2312yes—
318C2×#124C2314yes—
319C2×#124C2311yescharacteristic
320C2×#124C2312yes—
321C2×#124C2311yescharacteristic
322C2×#124C2311yescharacteristic
323C2×#123C2312yes—
324C2×#123C2312yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×#121C2312yes—
338C2×#121C2314yes—
339C2×#121C2311yescharacteristic
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2311yescharacteristic
347C2×#120C2312yes—
348C2×#120C2314yes—
349C4×#41—44no—
350C2×C4×Q8—44no—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×D4—44no—
363C2×C4×D4C2314yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2311yescharacteristic
389C2×#117C2312yes—
390C2×#117C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2311yescharacteristic
394C22×C22⋊C4C2312yes—
395C22×C22⋊C4C2312yes—
396C22×C22⋊C4C2312yes—
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2312yes—
400C22×C42C2312yes—
401C22×C42C2312yes—
402#401C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2312yes—
420#400C2314yes—
421#400C2312yes—
422#400C2314yes—
423#400C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2312yes—
427#399C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#396C2314yes—
460#396C2312yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2312yes—
466#395C2312yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2312yes—
489#393C2314yes—
490#393C2314yes—
491#393C2312yes—
492#393C2312yes—
493#393C2314yes—
494#392C2314yes—
495#392C2314yes—
496#391C2314yes—
497#391C2312yes—
498#391C2311yescharacteristic
499#391C2312yes—
500#391C2312yes—
501#391C2314yes—
502#391C2312yes—
503#391C2314yes—
504#391C2312yes—
505#391C2312yes—
506#391C2311yescharacteristic
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2314yes—
513#391C2312yes—
514#391C2314yes—
515#391C2314yes—
516#391C2311yescharacteristic
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#390C2314yes—
521#390C2312yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2314yes—
526#390C2314yes—
527#390C2312yes—
528#390C2314yes—
529#390C2314yes—
530#390C2311yescharacteristic
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2311yescharacteristic
536#390C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2314yes—
566#389C2311yescharacteristic
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2311yescharacteristic
572#388C2312yes—
573#388C2312yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2312yes—
619#387C2314yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2314yes—
650#386C2314yes—
651#386C2312yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2312yes—
669#386C2312yes—
670#386C2314yes—
671#386C2312yes—
672#386C2312yes—
673#386C2312yes—
674#386C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2314yes—
693#385C2312yes—
694#385C2312yes—
695#385C2314yes—
696#385C2312yes—
697#385C2312yes—
698#384C2311yescharacteristic
699#384C2312yes—
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2312yes—
703#383C2314yes—
704#383C2314yes—
705#383C2314yes—
706#383C2314yes—
707#383C2314yes—
708#382C2312yes—
709#382C2314yes—
710#382C2314yes—
711#382C2314yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2314yes—
716#382C2311yescharacteristic
717#382C2312yes—
718#382C2311yescharacteristic
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2314yes—
723#381C2314yes—
724#381C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2312yes—
753#379C2314yes—
754#379C2314yes—
755#379C2314yes—
756#379C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813#376C2312yes—
814#376C2314yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C43C2311yescharacteristic
818C25C2412yes—
819C2×#41—42no—
820C2×#41—42no—
821C2×#41#4118yes—
822C22×Q8—28no—
823C22×Q8—42no—
824C22×Q8—42no—
825C22×Q8—42no—
826C22×Q8—44no—
827C22×Q8—44no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2411yescharacteristic
830C22×Q8C2412yes—
831C22×Q8C2411yescharacteristic
832C22×Q8C2414yes—
833C22×Q8C2412yes—
834C22×D4—24no—
835C22×D4—42no—
836C22×D4—42no—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C23×C4—44no—
849C23×C4—44no—
850C23×C4—44no—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C4⋊Q8—24no—
871C4⋊Q8—44no—
872#126—44no—
873#126—48no—
874#126—48no—
875#125—44no—
876#125—44no—
877#125—42no—
878#124—24no—
879#124—28no—
880#124—216no—
881#124—42no—
882#124—42no—
883#124—44no—
884#123—28no—
885#123—44no—
886C22⋊Q8—24no—
887C22⋊Q8—28no—
888C22⋊Q8—216no—
889C22⋊Q8—48no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894C22⋊Q8—42no—
895C22⋊Q8—42no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898#121—28no—
899#121—28no—
900#121—216no—
901#121—24no—
902#121—44no—
903#121—42no—
904#121—44no—
905#121—44no—
906#121—44no—
907#121—42no—
908#120—28no—
909#120—48no—
910C4×Q8—28no—
911C4×Q8—24no—
912C4×Q8—24no—
913C4×Q8—24no—
914C4×Q8—44no—
915C4×Q8—44no—
916C4×Q8—42no—
917C4×Q8—42no—
918C4×Q8—44no—
919C4×Q8—42no—
920C4×Q8—44no—
921C4×D4—24no—
922C4×D4—24no—
923C4×D4—28no—
924C4×D4—216no—
925C4×D4—24no—
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—44no—
929C4×D4—42no—
930C4×D4—42no—
931C4×D4—42no—
932C4×D4—42no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—42no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—42no—
941#117—44no—
942#117—44no—
943#117—44no—
944#117—44no—
945#117—44no—
946#117—44no—
947#117—42no—
948#117—44no—
949C2×C4⋊C4—42no—
950C2×C4⋊C4—42no—
951C2×C4⋊C4—44no—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C22⋊C4—28no—
1013C2×C22⋊C4—44no—
1014C2×C22⋊C4—44no—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C42—24no—
1078C2×C42—24no—
1079C2×C42—44no—
1080C2×C42—44no—
1081C2×C42—44no—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2414yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2411yescharacteristic
1139#95C2414yes—
1140#95C2411yescharacteristic
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186C24—24no—
1187C24—24no—
1188C24—42no—
1189C24—42no—
1190C24—42no—
1191C24—42no—
1192C24—42no—
1193C24C2512yes—
1194C24C2512yes—
1195C24C2512yes—
1196C24C2511yescharacteristic
1197C24C2511yescharacteristic
1198#41—416no—
1199C2×Q8—24no—
1200C2×Q8—28no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—24no—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×Q8—42no—
1214C2×Q8—44no—
1215C2×Q8—44no—
1216C2×Q8—416no—
1217C2×Q8—816no—
1218C2×Q8C2×#4114yes—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—22no—
1222C2×D4—28no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—41no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—416no—
1251C2×D4C2×#4114yes—
1252C2×D4C2×#4118yes—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—24no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—28no—
1277C22×C4—22no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—41no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—44no—
1294C22×C4—41no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—41no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—44no—
1308C22×C4—816no—
1309C22×C4C2×#4114yes—
1310C22×C4C2×#4118yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2514yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2514yes—
1324C22×C4C2512yes—
1325C22×C4C2514yes—
1326C22×C4C2514yes—
1327C22×C4C2512yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—28no—
1344C4⋊C4—22no—
1345C4⋊C4—28no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—41no—
1383C4⋊C4—41no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C22⋊C4—24no—
1402C22⋊C4—22no—
1403C22⋊C4—28no—
1404C22⋊C4—24no—
1405C22⋊C4—28no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—22no—
1409C22⋊C4—24no—
1410C22⋊C4—28no—
1411C22⋊C4—24no—
1412C22⋊C4—22no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C42—22no—
1464C42—28no—
1465C42—24no—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—24no—
1473C42—24no—
1474C42—24no—
1475C42—22no—
1476C42—24no—
1477C42—22no—
1478C42—22no—
1479C42—42no—
1480C42—42no—
1481C42—42no—
1482C42—42no—
1483C42—42no—
1484C42—42no—
1485C42—41no—
1486C42—44no—
1487C42—44no—
1488C42—44no—
1489C42—44no—
1490C42—44no—
1491C42—41no—
1492C42—44no—
1493C42—44no—
1494C42H(5,𝔽2)14yes—
1495C23—21no—
1496C23—22no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—22no—
1502C23—21no—
1503C23—21no—
1504C23—22no—
1505C23—22no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—22no—
1510C23—22no—
1511C23—21no—
1512C23—21no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—48no—
1528C23—48no—
1529C23—84no—
1530C23—84no—
1531C23—84no—
1532C23—84no—
1533C23—84no—
1534C23C22×#4114yes—
1535C23C22×#4112yes—
1536C23#58512yes—
1537C23C2611yescharacteristic
1538Q8—28no—
1539Q8—48no—
1540Q8—48no—
1541Q8—44no—
1542Q8—44no—
1543Q8—88no—
1544D4—28no—
1545D4—48no—
1546D4—44no—
1547D4—48no—
1548D4—44no—
1549D4—44no—
1550D4—84no—
1551D4—84no—
1552D4—88no—
1553D4—84no—
1554D4—164no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—28no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—24no—
1606C2×C4—24no—
1607C2×C4—21no—
1608C2×C4—24no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—24no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—48no—
1638C2×C4—44no—
1639C2×C4—48no—
1640C2×C4—44no—
1641C2×C4—48no—
1642C2×C4—48no—
1643C2×C4—48no—
1644C2×C4—44no—
1645C2×C4—44no—
1646C2×C4—82no—
1647C2×C4—88no—
1648C2×C4—84no—
1649C2×C4—84no—
1650C2×C4—84no—
1651C2×C4—84no—
1652C2×C4—84no—
1653C2×C4—84no—
1654C2×C4—84no—
1655C2×C4C22×#4114yes—
1656C2×C4C22×#4112yes—
1657C2×C4C22×#4112yes—
1658C2×C4C2×H(5,𝔽2)12yes—
1659C2×C4C2×H(5,𝔽2)12yes—
1660C2×C4C2×H(5,𝔽2)12yes—
1661C2×C4#58512yes—
1662C2×C4#58512yes—
1663C2×C4#58512yes—
1664C22—24no—
1665C22—22no—
1666C22—22no—
1667C22—24no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—24no—
1672C22—22no—
1673C22—41no—
1674C22—41no—
1675C22—42no—
1676C22—41no—
1677C22—41no—
1678C22—42no—
1679C22—41no—
1680C22—41no—
1681C22—42no—
1682C22—41no—
1683C22—42no—
1684C22—41no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—42no—
1697C22—42no—
1698C22—42no—
1699C22—816no—
1700C22C23×#4111yescharacteristic
1701C22C22×H(5,𝔽2)11yescharacteristic
1702C22C2×#58511yescharacteristic
1703C22C2×#58511yescharacteristic
1704C22C2×#58511yescharacteristic
1705C22C2×#58511yescharacteristic
1706C222−1+611yescharacteristic
1707C4—22no—
1708C4—24no—
1709C4—22no—
1710C4—42no—
1711C4—42no—
1712C4—41no—
1713C4—41no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—41no—
1718C4—42no—
1719C4—41no—
1720C4—42no—
1721C4—44no—
1722C4—42no—
1723C4—41no—
1724C4—44no—
1725C4—41no—
1726C4—44no—
1727C4—42no—
1728C4—41no—
1729C4—42no—
1730C4—42no—
1731C4—41no—
1732C4—42no—
1733C4—41no—
1734C4—44no—
1735C4#350514yes—
1736C4#354014yes—
1737C2—42no—
1738C2—44no—
1739C2—42no—
1740C2—82no—
1741C2—82no—
1742C2C2×#354011yescharacteristic
1743C2C2×#350511yescharacteristic
1744C2#6281611yescharacteristic
1745C2#6292711yescharacteristic
1746C2#6296711yescharacteristic
1747C2#6299511yescharacteristic
1748C2#6302911yescharacteristic
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. #59768C2semidirect
2. #59627C2semidirect
3. #59421C2semidirect
4. #59249C2semidirect
5. #59228C2semidirect
6. #48694C2semidirect
7. #48313C2semidirect
8. #45667C2semidirect
9. #45663C2semidirect
10. #45420C2semidirect
11. #45392C2semidirect
12. #43582C2semidirect
13. #42724C2semidirect
14. #42627C2semidirect
15. #40677C2semidirect
16. #39960C2semidirect
17. #39910C2semidirect
18. #39904C2semidirect
19. #39784C2semidirect
20. #38978C2semidirect
21. #38911C2semidirect
22. #38130C2semidirect
23. #36579C2semidirect
24. #36444C2semidirect
25. #36210C2semidirect
26. #36204C2semidirect
27. #36174C2semidirect
28. #36161C2semidirect
29. #35236C2semidirect
30. #35206C2semidirect
31. #35023C2semidirect
32. #34952C2semidirect
33. #34708C2semidirect
34. #34474C2semidirect
35. C4×#546C2semidirect
37. C2×D4×Q8C22semidirect
42. C22×C4×Q8C22semidirect
44. #2859C22semidirect
46. #2857C22semidirect
47. #2857C22semidirect
48. #2855C22semidirect
49. #2851C22semidirect
51. #2850C22semidirect
55. #2835C22semidirect
58. #2797C22semidirect
59. #2796C22semidirect
60. #2796C22semidirect
62. #2782C22semidirect
64. #2777C22semidirect
65. #2772C22semidirect
66. #2770C22semidirect
67. #2767C22semidirect
69. #2763C22semidirect
70. #2758C22semidirect
71. #2758C22semidirect
72. #2757C22semidirect
73. #2756C22semidirect
74. #2754C22semidirect
75. #2749C22semidirect
76. #2743C22semidirect
77. #2742C22semidirect
78. #2738C22semidirect
79. #2737C22semidirect
80. #2737C22semidirect
82. #2702C22semidirect
83. #2689C22semidirect
91. #2652C22semidirect
93. #2649C22semidirect
95. #2643C22semidirect
97. #2625C22semidirect
100. #2597C22semidirect
101. #2596C22semidirect
103. #2593C22semidirect
105. #2582C22semidirect
106. #2582C22semidirect
107. #2581C22semidirect
108. #2581C22semidirect
110. #2579C22semidirect
113. #2576C22semidirect
114. #2573C22semidirect
115. #2568C22semidirect
118. #2562C22semidirect
120. #2560C22semidirect
122. #2552C22semidirect
123. #2550C22semidirect
125. #2547C22semidirect
132. #2537C22semidirect
133. #2532C22semidirect
134. #2530C22semidirect
135. #2527C22semidirect
136. #2526C22semidirect
137. #2525C22semidirect
139. #2518C22semidirect
140. #2517C22semidirect
141. #2516C22semidirect
142. #2515C22semidirect
143. #2514C22semidirect
144. #2513C22semidirect
145. #2511C22semidirect
146. #2511C22semidirect
147. #2509C22semidirect
148. #2509C22semidirect
149. #2509C22semidirect
150. #2509C22semidirect
152. #2499C22semidirect
155. #2495C22semidirect
156. #2495C22semidirect
157. #2495C22semidirect
158. #2495C22semidirect
159. #2495C22semidirect
161. #2494C22semidirect
162. #2493C22semidirect
164. #2492C22semidirect
165. #2490C22semidirect
166. #2490C22semidirect
168. #2489C22semidirect
169. #2489C22semidirect
170. #2489C22semidirect
172. #2487C22semidirect
175. #2481C22semidirect
176. #2481C22semidirect
180. #2469C22semidirect
181. #2469C22semidirect
184. #2453C22semidirect
186. #2448C22semidirect
189. #2447C22semidirect
191. #2442C22semidirect
192. #2441C22semidirect
193. #2439C22semidirect
195. #2436C22semidirect
198. #2427C22semidirect
199. #2427C22semidirect
205. #2421C22semidirect
206. #2421C22semidirect
213. #2415C22semidirect
214. #2415C22semidirect
216. #2414C22semidirect
220. #2409C22semidirect
221. #2409C22semidirect
224. #2396C22semidirect
225. #2396C22semidirect
226. #2379C22semidirect
227. #2377C22semidirect
229. #2370C22semidirect
230. #2370C22semidirect
231. #2368C22semidirect
237. #2363C22semidirect
238. #2362C22semidirect
239. #2362C22semidirect
244. #2357C22semidirect
245. #2355C22semidirect
246. #2355C22semidirect
248. #2354C22semidirect
249. #2354C22semidirect
251. #2352C22semidirect
252. Q8×C4⋊C4C22semidirect
255. #2347C22semidirect
256. #2346C22semidirect
258. Q8×C22⋊C4C22semidirect
259. Q8×C22⋊C4C22semidirect
262. #2337C22semidirect
263. #2333C22semidirect
264. #2332C22semidirect
269. #2320C22semidirect
270. #2320C22semidirect
271. #2318C22semidirect
272. #2310C22semidirect
273. C4×C4⋊Q8C22semidirect
275. C4×#124C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
289. #2296C22semidirect
290. #2295C22semidirect
291. #2290C22semidirect
293. #2285C22semidirect
294. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#597682
#596272
#594212
#592492
#592282
#486942
#483132
#456672
#456632
#454202
#453922
#435822
#427242
#426272
#406772
#399602
#399102
#399042
#397842
#389782
#389112
#381302
#365792
#364442
#362102
#362042
#361742
#361612
#352362
#352062
#350232
#349522
#347082
#344742
C4×#5462