Finite Group Databasebeta

← #8429454

Subgroups — #8429454

Order 512.

4806 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59856C212yesmaximal, complemented
2#59827C211yesmaximal, characteristic, complemented
3#59417C212yesmaximal, complemented
4#59125C211yesmaximal, characteristic, complemented
5#59040C211yesmaximal, characteristic, complemented
6#56613C214yesmaximal, complemented
7#55841C214yesmaximal, complemented
8#53151C212yesmaximal, complemented
9#53145C212yesmaximal, complemented
10#53098C212yesmaximal, complemented
11#53097C212yesmaximal, complemented
12#52605C214yesmaximal, complemented
13#42926C212yesmaximal, complemented
14#42683C212yesmaximal, complemented
15#42510C212yesmaximal, complemented
16#42503C212yesmaximal, complemented
17#40873C214yesmaximal, complemented
18#39654C212yesmaximal, complemented
19#39222C212yesmaximal, complemented
20#39068C212yesmaximal, complemented
21#39045C212yesmaximal, complemented
22#38984C211yesmaximal, characteristic, complemented
23#38951C211yesmaximal, characteristic, complemented
24#38930C211yesmaximal, characteristic, complemented
25#38908C211yesmaximal, characteristic, complemented
26#37628C211yesmaximal, characteristic, complemented
27#37617C211yesmaximal, characteristic, complemented
28#37594C212yesmaximal, complemented
29#37503C212yesmaximal, complemented
30#36449C211yesmaximal, characteristic, complemented
31#36259C211yesmaximal, characteristic, complemented
32#36129C211yesmaximal, characteristic, complemented
33#34979C211yesmaximal, characteristic, complemented
34#34800C211yesmaximal, characteristic, complemented
35#34727C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#548C2212yes—
38C2×#547C2211yescharacteristic
39C2×#547C2211yescharacteristic
40C2×#547C2212yes—
41C2×#533C2211yescharacteristic
42C22×C4⋊Q8C2211yescharacteristic
43C2×#529C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2863C2212yes—
46#2862C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2854C2212yes—
50#2839C2214yes—
51#2838C2214yes—
52#2837C2214yes—
53#2836C2214yes—
54#2836C2214yes—
55#2836C2214yes—
56#2831C2214yes—
57#2830C2214yes—
58#2827C2214yes—
59#2825C2214yes—
60#2824C2214yes—
61#2821C2214yes—
62#2814C2214yes—
63#2813C2214yes—
64#2806C2214yes—
65#2802C2214yes—
66#2797C2214yes—
67#2788C2214yes—
68#2788C2214yes—
69#2780C2214yes—
70#2780C2214yes—
71#2779C2214yes—
72#2768C2214yes—
73#2767C2214yes—
74#2762C2214yes—
75#2750C2214yes—
76#2749C2214yes—
77#2747C2214yes—
78#2746C2214yes—
79#2743C2214yes—
80#2739C2214yes—
81#2738C2214yes—
82#2738C2214yes—
83#2737C2214yes—
84#2724C2214yes—
85#2717C2214yes—
86#2710C2214yes—
87#2710C2214yes—
88#2708C2214yes—
89#2706C2214yes—
90#2706C2214yes—
91#2706C2214yes—
92#2706C2214yes—
93#2703C2214yes—
94#2700C2214yes—
95#2695C2214yes—
96#2694C2214yes—
97#2693C2214yes—
98#2688C2214yes—
99#2686C2214yes—
100#2674C2214yes—
101#2667C2214yes—
102#2666C2214yes—
103#2658C2212yes—
104#2654C2214yes—
105#2654C2214yes—
106#2651C2214yes—
107#2649C2214yes—
108#2647C2212yes—
109#2647C2212yes—
110#2645C2212yes—
111#2644C2212yes—
112#2642C2212yes—
113#2635C2214yes—
114#2630C2214yes—
115#2628C2212yes—
116#2628C2212yes—
117#2627C2214yes—
118#2625C2212yes—
119#2625C2212yes—
120#2623C2214yes—
121#2623C2214yes—
122#2621C2212yes—
123#2620C2212yes—
124#2611C2214yes—
125#2587C2214yes—
126#2582C2212yes—
127#2581C2212yes—
128#2579C2214yes—
129#2578C2214yes—
130#2578C2214yes—
131#2578C2214yes—
132#2574C2214yes—
133#2571C2211yescharacteristic
134#2569C2214yes—
135#2568C2211yescharacteristic
136#2568C2212yes—
137#2557C2214yes—
138#2555C2214yes—
139#2550C2212yes—
140#2547C2211yescharacteristic
141#2547C2212yes—
142#2547C2211yescharacteristic
143#2547C2211yescharacteristic
144#2546C2211yescharacteristic
145#2546C2211yescharacteristic
146#2542C2211yescharacteristic
147#2542C2211yescharacteristic
148#2540C2212yes—
149#2538C2212yes—
150#2538C2211yescharacteristic
151#2536C2212yes—
152#2535C2212yes—
153#2532C2212yes—
154#2530C2214yes—
155#2526C2212yes—
156#2522C2214yes—
157#2518C2212yes—
158#2516C2214yes—
159#2514C2212yes—
160#2513C2212yes—
161#2513C2211yescharacteristic
162#2511C2212yes—
163#2508C2211yescharacteristic
164#2507C2212yes—
165#2503C2212yes—
166#2502C2212yes—
167#2500C2211yescharacteristic
168#2499C2212yes—
169#2497C2212yes—
170#2497C2211yescharacteristic
171#2495C2212yes—
172#2493C2214yes—
173#2492C2212yes—
174#2491C2212yes—
175#2491C2211yescharacteristic
176#2488C2214yes—
177#2487C2212yes—
178#2487C2214yes—
179#2487C2212yes—
180#2486C2212yes—
181#2486C2212yes—
182#2486C2212yes—
183#2485C2211yescharacteristic
184#2485C2212yes—
185#2479C2212yes—
186#2471C2212yes—
187#2471C2214yes—
188#2467C2212yes—
189#2459C2214yes—
190#2459C2212yes—
191#2457C2214yes—
192#2456C2212yes—
193#2454C2211yescharacteristic
194#2451C2212yes—
195#2451C2212yes—
196#2448C2211yescharacteristic
197#2447C2214yes—
198#2447C2212yes—
199#2447C2212yes—
200#2446C2212yes—
201#2446C2212yes—
202#2443C2214yes—
203#2442C2212yes—
204#2442C2212yes—
205#2441C2211yescharacteristic
206#2440C2212yes—
207#2439C2212yes—
208#2439C2211yescharacteristic
209#2436C2212yes—
210#2434C2212yes—
211#2432C2212yes—
212#2432C2212yes—
213#2431C2212yes—
214#2431C2211yescharacteristic
215#2429C2212yes—
216#2429C2212yes—
217#2429C2212yes—
218#2429C2212yes—
219#2428C2211yescharacteristic
220#2427C2212yes—
221#2427C2212yes—
222#2426C2212yes—
223#2425C2214yes—
224#2423C2212yes—
225#2423C2211yescharacteristic
226#2421C2212yes—
227#2421C2212yes—
228#2421C2212yes—
229#2420C2212yes—
230#2417C2212yes—
231#2417C2212yes—
232#2417C2212yes—
233#2417C2212yes—
234#2417C2212yes—
235#2417C2212yes—
236#2417C2212yes—
237#2416C2212yes—
238#2416C2212yes—
239#2415C2212yes—
240#2415C2212yes—
241#2415C2212yes—
242#2414C2211yescharacteristic
243#2414C2211yescharacteristic
244#2413C2214yes—
245#2409C2212yes—
246#2409C2212yes—
247#2407C2212yes—
248#2407C2212yes—
249#2407C2212yes—
250#2407C2212yes—
251#2407C2211yescharacteristic
252#2398C2212yes—
253#2397C2212yes—
254#2395C2214yes—
255#2392C2212yes—
256#2392C2212yes—
257#2365C2211yescharacteristic
258#2365C2211yescharacteristic
259#2364C2214yes—
260#2360C2212yes—
261#2360C2212yes—
262#2352C2212yes—
263#2352C2212yes—
264D4×C4⋊C4C2212yes—
265D4×C4⋊C4C2212yes—
266D4×C4⋊C4C2211yescharacteristic
267D4×C4⋊C4C2211yescharacteristic
268#2345C2212yes—
269#2341C2212yes—
270Q8×C22⋊C4C2212yes—
271#2339C2212yes—
272#2337C2214yes—
273#2320C2212yes—
274#2319C2212yes—
275#2311C2212yes—
276#2311C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2212yes—
280C4×#127C2211yescharacteristic
281C4×#124C2212yes—
282C4×#124C2212yes—
283C4×#124C2212yes—
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291#2298C2212yes—
292#2295C2211yescharacteristic
293#2293C2211yescharacteristic
294C2×#389C2212yes—
295#2290C2212yes—
296#2283C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C23×Q8C2312yes—
303#559—48no—
304#548—48no—
305#547—44no—
306#547—44no—
307#547—48no—
308#533—44no—
309C2×C4⋊Q8—44no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×#127C2311yescharacteristic
320#529—44no—
321C2×#126C2312yes—
322C2×#125C2312yes—
323C2×#125C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2311yescharacteristic
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2314yes—
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2312yes—
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#121C2311yescharacteristic
360C2×#121C2314yes—
361C4×#41—44no—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2311yescharacteristic
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2314yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C42C2311yescharacteristic
405C22×C42C2311yescharacteristic
406C22×C42C2312yes—
407#401C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2312yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2312yes—
429#399C2314yes—
430#399C2314yes—
431#399C2312yes—
432#399C2314yes—
433#399C2314yes—
434#399C2312yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2312yes—
439#399C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2312yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2312yes—
477#397C2312yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2312yes—
484#397C2312yes—
485#397C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2312yes—
491#396C2314yes—
492#396C2312yes—
493#396C2314yes—
494#396C2312yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2312yes—
501#395C2314yes—
502#395C2314yes—
503#395C2314yes—
504#395C2314yes—
505#395C2314yes—
506#394C2312yes—
507#394C2312yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2312yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2312yes—
518#394C2314yes—
519#394C2314yes—
520#394C2312yes—
521#394C2312yes—
522#394C2312yes—
523#394C2312yes—
524#394C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2312yes—
530#393C2312yes—
531#392C2314yes—
532#392C2312yes—
533#392C2312yes—
534#392C2314yes—
535#392C2312yes—
536#392C2312yes—
537#392C2314yes—
538#392C2312yes—
539#392C2312yes—
540#392C2314yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2311yescharacteristic
550#391C2312yes—
551#391C2314yes—
552#391C2312yes—
553#391C2312yes—
554#391C2314yes—
555#391C2314yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2314yes—
561#391C2312yes—
562#391C2312yes—
563#391C2311yescharacteristic
564#391C2312yes—
565#391C2312yes—
566#390C2311yescharacteristic
567#390C2311yescharacteristic
568#390C2312yes—
569#390C2312yes—
570#390C2311yescharacteristic
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#390C2311yescharacteristic
575#390C2311yescharacteristic
576#390C2312yes—
577#390C2314yes—
578#390C2314yes—
579#390C2311yescharacteristic
580#390C2311yescharacteristic
581#390C2312yes—
582#390C2312yes—
583#390C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2314yes—
587#389C2314yes—
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2314yes—
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2314yes—
599#389C2312yes—
600#389C2312yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2311yescharacteristic
608#389C2314yes—
609#389C2314yes—
610#389C2312yes—
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2311yescharacteristic
621#389C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2312yes—
644#388C2314yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2314yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2312yes—
692#386C2312yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2312yes—
728#384C2312yes—
729#383C2312yes—
730#383C2314yes—
731#383C2314yes—
732#382C2314yes—
733#382C2312yes—
734#382C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2312yes—
738#382C2311yescharacteristic
739#382C2311yescharacteristic
740#382C2312yes—
741#381C2314yes—
742#381C2314yes—
743#381C2312yes—
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2312yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2314yes—
757#380C2312yes—
758#380C2314yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2311yescharacteristic
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2314yes—
772#380C2311yescharacteristic
773#380C2312yes—
774#380C2311yescharacteristic
775#380C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813#376C2312yes—
814#376C2312yes—
815#376C2312yes—
816C2×#95C2314yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C2×#41—24no—
820C2×#41—28no—
821C2×#41—42no—
822C2×#41—42no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C22×Q8—44no—
829C22×Q8—44no—
830C22×Q8—44no—
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2411yescharacteristic
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×Q8C2414yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C4⋊Q8—24no—
868C4⋊Q8—24no—
869C4⋊Q8—24no—
870C4⋊Q8—44no—
871C4⋊Q8—44no—
872C4⋊Q8—42no—
873C4⋊Q8—44no—
874C4⋊Q8—44no—
875C4⋊Q8—44no—
876#127—24no—
877#126—44no—
878#125—42no—
879#125—44no—
880#124—28no—
881#124—28no—
882#124—44no—
883#124—42no—
884#124—44no—
885#124—48no—
886#124—48no—
887#123—48no—
888#123—48no—
889#123—48no—
890#123—44no—
891#123—48no—
892#123—48no—
893#123—48no—
894C22⋊Q8—48no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898C22⋊Q8—44no—
899C22⋊Q8—42no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902C22⋊Q8—44no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907#121—24no—
908#121—28no—
909#121—48no—
910#121—42no—
911#121—42no—
912#121—42no—
913#121—42no—
914#121—44no—
915#121—44no—
916#121—48no—
917C4×Q8—24no—
918C4×Q8—44no—
919C4×Q8—44no—
920C4×Q8—42no—
921C4×Q8—44no—
922C4×Q8—44no—
923C4×Q8—44no—
924C4×Q8—44no—
925C4×D4—28no—
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—24no—
929C4×D4—24no—
930C4×D4—42no—
931C4×D4—44no—
932C4×D4—42no—
933C4×D4—44no—
934C4×D4—42no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—48no—
944C4×D4—48no—
945#117—44no—
946#117—44no—
947#117—44no—
948#117—42no—
949#117—42no—
950#117—42no—
951#117—44no—
952C2×C4⋊C4—44no—
953C2×C4⋊C4—44no—
954C2×C4⋊C4—44no—
955C2×C4⋊C4—44no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4—44no—
958C2×C4⋊C4—48no—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C42—24no—
1089C2×C42—24no—
1090C2×C42—44no—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2414yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2412yes—
1115C2×C42C2414yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189C24C2512yes—
1190C24C2512yes—
1191C24C2511yescharacteristic
1192C24C2512yes—
1193C24C2511yescharacteristic
1194#41—416no—
1195#41—816no—
1196#41—816no—
1197C2×Q8—22no—
1198C2×Q8—24no—
1199C2×Q8—24no—
1200C2×Q8—24no—
1201C2×Q8—24no—
1202C2×Q8—22no—
1203C2×Q8—24no—
1204C2×Q8—24no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—24no—
1208C2×Q8—24no—
1209C2×Q8—22no—
1210C2×Q8—42no—
1211C2×Q8—44no—
1212C2×Q8—44no—
1213C2×Q8—42no—
1214C2×Q8—44no—
1215C2×Q8—816no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—28no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—24no—
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—41no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4H(5,𝔽2)14yes—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—28no—
1261C22×C4—28no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—24no—
1274C22×C4—22no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—22no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—24no—
1287C22×C4—42no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—42no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2514yes—
1321C22×C4C2514yes—
1322C22×C4C2514yes—
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2514yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—41no—
1381C4⋊C4—42no—
1382C4⋊C4—41no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—22no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—41no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—41no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C42−1+414yes—
1465C42—22no—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—24no—
1472C42—24no—
1473C42—24no—
1474C42—22no—
1475C42—22no—
1476C42—24no—
1477C42—22no—
1478C42—24no—
1479C42—22no—
1480C42—24no—
1481C42—22no—
1482C42—42no—
1483C42—42no—
1484C42—42no—
1485C42—41no—
1486C42—42no—
1487C42—42no—
1488C42—44no—
1489C42—44no—
1490C42—44no—
1491C42—44no—
1492C42H(5,𝔽2)14yes—
1493C23—22no—
1494C23—21no—
1495C23—21no—
1496C23—22no—
1497C23—21no—
1498C23—22no—
1499C23—22no—
1500C23—21no—
1501C23—21no—
1502C23—22no—
1503C23—21no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—21no—
1508C23—22no—
1509C23—21no—
1510C23—22no—
1511C23—22no—
1512C23—21no—
1513C23—22no—
1514C23—22no—
1515C23—21no—
1516C23—22no—
1517C23—21no—
1518C23—22no—
1519C23—22no—
1520C23—21no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—21no—
1526C23C2×H(5,𝔽2)14yes—
1527C23C2×2−1+412yes—
1528C23C2611yescharacteristic
1529Q8—48no—
1530Q8—48no—
1531Q8—44no—
1532Q8—48no—
1533Q8—84no—
1534Q8—88no—
1535D4—28no—
1536D4—48no—
1537D4—48no—
1538D4—44no—
1539D4—48no—
1540D4—44no—
1541D4—44no—
1542D4—84no—
1543D4—84no—
1544D4—84no—
1545D4—88no—
1546D4—84no—
1547D4—84no—
1548D4—88no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—24no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—24no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—22no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—48no—
1633C2×C4—44no—
1634C2×C4—44no—
1635C2×C4—48no—
1636C2×C4—44no—
1637C2×C4—48no—
1638C2×C4—44no—
1639C2×C4—48no—
1640C2×C4—84no—
1641C2×C4—88no—
1642C2×C4—88no—
1643C2×C4—88no—
1644C2×C4—88no—
1645C2×C4—164no—
1646C2×C4C2×H(5,𝔽2)12yes—
1647C2×C4C2×H(5,𝔽2)12yes—
1648C2×C4C2×H(5,𝔽2)12yes—
1649C2×C4C2×H(5,𝔽2)12yes—
1650C2×C4C2×2−1+412yes—
1651C2×C4C2×2−1+412yes—
1652C2×C4#58512yes—
1653C2×C4#58512yes—
1654C2×C4#58512yes—
1655C22—22no—
1656C22—24no—
1657C22—22no—
1658C22—24no—
1659C22—22no—
1660C22—24no—
1661C22—42no—
1662C22—41no—
1663C22—42no—
1664C22—41no—
1665C22—42no—
1666C22—41no—
1667C22—42no—
1668C22—41no—
1669C22—42no—
1670C22—41no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—41no—
1675C22—41no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—41no—
1680C22—42no—
1681C22—41no—
1682C22—42no—
1683C22—42no—
1684C22—41no—
1685C22—42no—
1686C22—42no—
1687C22—41no—
1688C22—42no—
1689C22—42no—
1690C22C22×H(5,𝔽2)11yescharacteristic
1691C22C22×H(5,𝔽2)11yescharacteristic
1692C22C22×2−1+411yescharacteristic
1693C22C2×#58511yescharacteristic
1694C22C2×#58511yescharacteristic
1695C22C2×#58511yescharacteristic
1696C222−1+611yescharacteristic
1697C4—22no—
1698C4—22no—
1699C4—22no—
1700C4—41no—
1701C4—41no—
1702C4—42no—
1703C4—42no—
1704C4—44no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—42no—
1709C4—41no—
1710C4—42no—
1711C4—44no—
1712C4—42no—
1713C4—41no—
1714C4—41no—
1715C4—42no—
1716C4—42no—
1717C4—41no—
1718C4—42no—
1719C4—41no—
1720C4—42no—
1721C4—42no—
1722C4—41no—
1723C4—44no—
1724C4—44no—
1725C4#354214yes—
1726C4#356214yes—
1727C2—42no—
1728C2—44no—
1729C2—82no—
1730C2—81no—
1731C2—82no—
1732C2C2×#354211yescharacteristic
1733C2C2×#356211yescharacteristic
1734C2#6276111yescharacteristic
1735C2#6292111yescharacteristic
1736C2#6293911yescharacteristic
1737C2#6294211yescharacteristic
1738C2#6301311yescharacteristic
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. #59856C2semidirect
2. #59827C2semidirect
3. #59417C2semidirect
4. #59125C2semidirect
5. #59040C2semidirect
6. #56613C2semidirect
7. #55841C2semidirect
8. #53151C2semidirect
9. #53145C2semidirect
10. #53098C2semidirect
11. #53097C2semidirect
12. #52605C2semidirect
13. #42926C2semidirect
14. #42683C2semidirect
15. #42510C2semidirect
16. #42503C2semidirect
17. #40873C2semidirect
18. #39654C2semidirect
19. #39222C2semidirect
20. #39068C2semidirect
21. #39045C2semidirect
22. #38984C2semidirect
23. #38951C2semidirect
24. #38930C2semidirect
25. #38908C2semidirect
26. #37628C2semidirect
27. #37617C2semidirect
28. #37594C2semidirect
29. #37503C2semidirect
30. #36449C2semidirect
31. #36259C2semidirect
32. #36129C2semidirect
33. #34979C2semidirect
34. #34800C2semidirect
35. #34727C2semidirect

Maximal subgroups

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

subgroupindex
#598562
#598272
#594172
#591252
#590402
#566132
#558412
#531512
#531452
#530982
#530972
#526052
#429262
#426832
#425102
#425032
#408732
#396542
#392222
#390682
#390452
#389842
#389512
#389302
#389082
#376282
#376172
#375942
#375032
#364492
#362592
#361292
#349792
#348002
#347272