Finite Group Databasebeta

← #9912990

Subgroups — #9912990

Order 512.

4243 conjugacy classes of subgroups.

The subgroup lattice has 2113 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58280C212yesmaximal, complemented
2#57722C212yesmaximal, complemented
3#56769C212yesmaximal, complemented
4#56440C212yesmaximal, complemented
5#55813C212yesmaximal, complemented
6#55569C212yesmaximal, complemented
7#55560C212yesmaximal, complemented
8#55442C212yesmaximal, complemented
9#55377C212yesmaximal, complemented
10#55250C212yesmaximal, complemented
11#54835C212yesmaximal, complemented
12#54824C212yesmaximal, complemented
13#54416C212yesmaximal, complemented
14#54358C212yesmaximal, complemented
15#54266C212yesmaximal, complemented
16#53374C211yesmaximal, characteristic, complemented
17#53356C211yesmaximal, characteristic, complemented
18#53284C212yesmaximal, complemented
19#53277C212yesmaximal, complemented
20#51578C212yesmaximal, complemented
21#50683C212yesmaximal, complemented
22#50673C212yesmaximal, complemented
23#48813C212yesmaximal, complemented
24#48159C212yesmaximal, complemented
25#48153C212yesmaximal, complemented
26#46236C211yesmaximal, characteristic, complemented
27#46125C212yesmaximal, complemented
28#45956C211yesmaximal, characteristic, complemented
29#45938C211yesmaximal, characteristic, complemented
30#45784C212yesmaximal, complemented
31#45558C212yesmaximal, complemented
32#39279C212yesmaximal, complemented
33#39193C211yesmaximal, characteristic, complemented
34#37162C211yesmaximal, characteristic, complemented
35#36859C212yesmaximal, complemented
36C2×#562C2212yes—
37C2×#562C2211yescharacteristic
38C2×#562C2211yescharacteristic
39C2×#553C2212yes—
40#2863C2211yescharacteristic
41#2863C2211yescharacteristic
42#2861C2211yescharacteristic
43#2861C2211yescharacteristic
44#2859C2211yescharacteristic
45#2857C2212yes—
46#2854C2212yes—
47#2853C2212yes—
48#2852C2212yes—
49#2852C2212yes—
50#2843C2212yes—
51#2839C2212yes—
52#2838C2212yes—
53#2836C2212yes—
54#2836C2212yes—
55#2836C2212yes—
56#2831C2212yes—
57#2831C2212yes—
58#2830C2212yes—
59#2829C2212yes—
60#2828C2212yes—
61#2827C2212yes—
62#2827C2212yes—
63#2826C2212yes—
64#2822C2211yescharacteristic
65#2819C2211yescharacteristic
66#2814C2212yes—
67#2814C2212yes—
68#2814C2212yes—
69#2809C2211yescharacteristic
70#2808C2211yescharacteristic
71#2808C2211yescharacteristic
72#2806C2211yescharacteristic
73#2806C2211yescharacteristic
74#2806C2211yescharacteristic
75#2806C2211yescharacteristic
76#2806C2211yescharacteristic
77#2805C2211yescharacteristic
78#2805C2212yes—
79#2804C2211yescharacteristic
80#2804C2211yescharacteristic
81#2802C2212yes—
82#2802C2212yes—
83#2801C2212yes—
84#2800C2212yes—
85#2799C2212yes—
86#2798C2212yes—
87#2797C2212yes—
88#2796C2212yes—
89#2793C2212yes—
90#2791C2212yes—
91#2791C2212yes—
92#2790C2212yes—
93#2790C2212yes—
94#2790C2212yes—
95#2790C2212yes—
96#2787C2212yes—
97#2786C2212yes—
98#2786C2212yes—
99#2786C2212yes—
100#2786C2212yes—
101#2781C2212yes—
102#2779C2212yes—
103#2779C2212yes—
104#2779C2212yes—
105#2778C2212yes—
106#2777C2212yes—
107#2777C2212yes—
108#2775C2212yes—
109#2775C2212yes—
110#2772C2212yes—
111#2770C2212yes—
112#2770C2212yes—
113#2770C2212yes—
114#2770C2212yes—
115#2770C2212yes—
116#2769C2212yes—
117#2769C2212yes—
118#2769C2212yes—
119#2768C2212yes—
120#2766C2212yes—
121#2764C2212yes—
122#2764C2212yes—
123#2764C2212yes—
124#2763C2212yes—
125#2762C2212yes—
126#2761C2212yes—
127#2761C2212yes—
128#2761C2212yes—
129#2759C2212yes—
130#2759C2212yes—
131#2758C2212yes—
132#2757C2212yes—
133#2757C2212yes—
134#2757C2212yes—
135#2756C2212yes—
136#2756C2212yes—
137#2755C2212yes—
138#2755C2212yes—
139#2753C2212yes—
140#2751C2212yes—
141#2750C2212yes—
142#2750C2212yes—
143#2749C2212yes—
144#2749C2212yes—
145#2749C2212yes—
146#2749C2212yes—
147#2749C2212yes—
148#2749C2212yes—
149#2747C2212yes—
150#2745C2212yes—
151#2745C2212yes—
152#2744C2212yes—
153#2742C2212yes—
154#2740C2212yes—
155#2739C2212yes—
156#2739C2212yes—
157#2738C2212yes—
158#2738C2212yes—
159#2738C2212yes—
160#2737C2212yes—
161#2737C2212yes—
162#2737C2212yes—
163#2734C2211yescharacteristic
164#2733C2211yescharacteristic
165#2732C2211yescharacteristic
166#2732C2211yescharacteristic
167#2731C2212yes—
168#2728C2212yes—
169#2728C2212yes—
170#2727C2211yescharacteristic
171#2726C2212yes—
172#2725C2212yes—
173#2725C2212yes—
174#2724C2212yes—
175#2724C2211yescharacteristic
176#2724C2212yes—
177#2724C2211yescharacteristic
178#2722C2212yes—
179#2721C2212yes—
180#2720C2212yes—
181#2720C2212yes—
182#2719C2212yes—
183#2717C2212yes—
184#2717C2212yes—
185#2716C2212yes—
186#2715C2212yes—
187#2715C2212yes—
188#2715C2212yes—
189#2715C2212yes—
190#2714C2212yes—
191#2714C2212yes—
192#2713C2212yes—
193#2711C2212yes—
194#2708C2212yes—
195#2708C2212yes—
196#2708C2212yes—
197#2707C2212yes—
198#2706C2212yes—
199#2705C2212yes—
200#2704C2212yes—
201#2704C2212yes—
202#2704C2212yes—
203#2703C2212yes—
204#2703C2212yes—
205#2701C2212yes—
206#2700C2212yes—
207#2700C2212yes—
208#2699C2212yes—
209#2698C2212yes—
210#2696C2212yes—
211#2695C2212yes—
212#2693C2212yes—
213#2691C2212yes—
214#2690C2212yes—
215#2689C2212yes—
216#2689C2212yes—
217#2689C2212yes—
218#2688C2212yes—
219#2688C2212yes—
220#2688C2212yes—
221#2687C2212yes—
222#2687C2212yes—
223#2687C2212yes—
224#2686C2212yes—
225#2683C2211yescharacteristic
226#2683C2212yes—
227#2682C2212yes—
228#2682C2211yescharacteristic
229#2682C2212yes—
230#2680C2212yes—
231#2680C2212yes—
232#2680C2212yes—
233#2675C2212yes—
234#2674C2212yes—
235#2674C2212yes—
236#2672C2212yes—
237#2672C2212yes—
238#2671C2212yes—
239#2671C2212yes—
240#2671C2212yes—
241#2666C2212yes—
242#2666C2212yes—
243#2666C2212yes—
244#2661C2212yes—
245#2652C2212yes—
246#2652C2212yes—
247#2643C2212yes—
248#2638C2212yes—
249#2638C2212yes—
250#2635C2212yes—
251#2634C2212yes—
252#2631C2212yes—
253#2631C2212yes—
254#2630C2212yes—
255#2630C2212yes—
256#2630C2212yes—
257#2627C2212yes—
258#2627C2212yes—
259#2625C2212yes—
260#2625C2212yes—
261#2618C2212yes—
262#2600C2212yes—
263#2594C2212yes—
264#2590C2212yes—
265#2587C2212yes—
266#2587C2212yes—
267#2579C2212yes—
268#2579C2212yes—
269#2577C2212yes—
270#2577C2212yes—
271#2573C2212yes—
272#2573C2212yes—
273#2569C2212yes—
274#2566C2212yes—
275#2564C2212yes—
276#2560C2212yes—
277#2557C2212yes—
278#2557C2212yes—
279#2557C2212yes—
280#2556C2212yes—
281#2556C2212yes—
282#2555C2212yes—
283#2553C2212yes—
284#2549C2212yes—
285#2549C2212yes—
286#2549C2212yes—
287#2543C2212yes—
288#2538C2211yescharacteristic
289#2537C2211yescharacteristic
290#2536C2212yes—
291#2535C2212yes—
292#2525C2212yes—
293#2524C2212yes—
294#2523C2212yes—
295#2523C2212yes—
296#2523C2212yes—
297#2516C2212yes—
298#2515C2212yes—
299#2506C2212yes—
300#2504C2212yes—
301#2498C2212yes—
302#2495C2212yes—
303#2495C2212yes—
304#2493C2212yes—
305#2493C2212yes—
306#2490C2212yes—
307#2488C2212yes—
308#2488C2212yes—
309#2486C2212yes—
310#2481C2212yes—
311#2477C2212yes—
312#2476C2212yes—
313#2474C2212yes—
314#2473C2212yes—
315#2473C2212yes—
316#2473C2212yes—
317#2470C2212yes—
318#2466C2212yes—
319#2464C2212yes—
320#2464C2212yes—
321#2463C2212yes—
322#2463C2212yes—
323#2461C2212yes—
324#2459C2212yes—
325#2459C2212yes—
326#2459C2212yes—
327#2457C2212yes—
328#2456C2212yes—
329#2455C2212yes—
330#2450C2212yes—
331#2450C2212yes—
332#2449C2212yes—
333#2449C2212yes—
334#2449C2212yes—
335#2447C2212yes—
336#2447C2212yes—
337#2444C2212yes—
338#2444C2212yes—
339#2444C2212yes—
340#2443C2212yes—
341#2443C2212yes—
342#2442C2212yes—
343#2442C2212yes—
344#2438C2212yes—
345#2438C2212yes—
346#2427C2212yes—
347#2427C2212yes—
348#2427C2212yes—
349#2425C2212yes—
350#2425C2212yes—
351#2425C2212yes—
352#2425C2212yes—
353#2425C2212yes—
354#2425C2212yes—
355#2422C2212yes—
356#2419C2212yes—
357#2419C2212yes—
358#2419C2212yes—
359#2419C2212yes—
360#2417C2212yes—
361#2417C2212yes—
362#2416C2212yes—
363#2415C2212yes—
364#2413C2212yes—
365#2382C2212yes—
366#2378C2212yes—
367#2377C2212yes—
368#2361C2212yes—
369#2355C2211yescharacteristic
370D4×C4⋊C4C2211yescharacteristic
371#2325C2212yes—
372#2324C2212yes—
373#2322C2212yes—
374#2318C2212yes—
375C4×#124C2211yescharacteristic
376C4×#121C2212yes—
377#2293C2211yescharacteristic
378C2×#387C2212yes—
379#562—48no—
380#562—44no—
381#562—44no—
382#553—48no—
383C2×C4⋊Q8C2312yes—
384C2×#126C2312yes—
385C2×#126C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#125C2312yes—
389C2×#125C2311yescharacteristic
390C2×#125C2311yescharacteristic
391C2×#125C2312yes—
392C2×#125C2312yes—
393C2×#125C2312yes—
394C2×#124C2311yescharacteristic
395C2×#124C2311yescharacteristic
396C2×#124C2311yescharacteristic
397C2×#124C2312yes—
398C2×#124C2312yes—
399C2×#124C2312yes—
400C2×#124C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×C4×Q8C2311yescharacteristic
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×#117C2312yes—
459C2×#117C2312yes—
460C22×C4⋊C4C2312yes—
461C22×C4⋊C4C2312yes—
462C22×C4⋊C4C2312yes—
463C22×C4⋊C4C2312yes—
464C22×C42C2312yes—
465#401C2312yes—
466#401C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#399C2312yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#398C2312yes—
514#398C2312yes—
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#393C2312yes—
693#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#392C2312yes—
704#392C2312yes—
705#392C2312yes—
706#392C2312yes—
707#392C2312yes—
708#392C2312yes—
709#392C2312yes—
710#392C2312yes—
711#392C2312yes—
712#392C2312yes—
713#392C2312yes—
714#392C2312yes—
715#392C2312yes—
716#392C2312yes—
717#391C2312yes—
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2311yescharacteristic
723#391C2311yescharacteristic
724#391C2311yescharacteristic
725#391C2311yescharacteristic
726#391C2311yescharacteristic
727#391C2311yescharacteristic
728#391C2311yescharacteristic
729#391C2311yescharacteristic
730#391C2311yescharacteristic
731#391C2311yescharacteristic
732#391C2312yes—
733#391C2311yescharacteristic
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#391C2312yes—
742#390C2312yes—
743#390C2312yes—
744#390C2311yescharacteristic
745#390C2312yes—
746#390C2311yescharacteristic
747#390C2312yes—
748#390C2312yes—
749#390C2312yes—
750#390C2311yescharacteristic
751#390C2311yescharacteristic
752#390C2311yescharacteristic
753#390C2311yescharacteristic
754#390C2312yes—
755#390C2311yescharacteristic
756#390C2312yes—
757#390C2312yes—
758#390C2312yes—
759#390C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2311yescharacteristic
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2311yescharacteristic
782#389C2311yescharacteristic
783#389C2311yescharacteristic
784#389C2311yescharacteristic
785#389C2311yescharacteristic
786#389C2311yescharacteristic
787#389C2311yescharacteristic
788#389C2311yescharacteristic
789#389C2311yescharacteristic
790#389C2311yescharacteristic
791#389C2312yes—
792#389C2312yes—
793#389C2311yescharacteristic
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#384C2312yes—
1022#384C2312yes—
1023#384C2311yescharacteristic
1024#384C2311yescharacteristic
1025#383C2312yes—
1026#383C2312yes—
1027#383C2312yes—
1028#383C2312yes—
1029#383C2312yes—
1030#383C2312yes—
1031#383C2312yes—
1032#383C2312yes—
1033#383C2312yes—
1034#383C2312yes—
1035#383C2312yes—
1036#382C2311yescharacteristic
1037#382C2312yes—
1038#382C2312yes—
1039#382C2312yes—
1040#382C2312yes—
1041#382C2312yes—
1042#382C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#381C2312yes—
1047#381C2312yes—
1048#381C2312yes—
1049#381C2312yes—
1050#381C2312yes—
1051#381C2312yes—
1052#381C2312yes—
1053#381C2312yes—
1054#381C2312yes—
1055#381C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070#380C2312yes—
1071#380C2312yes—
1072#380C2312yes—
1073#380C2312yes—
1074#380C2312yes—
1075#380C2312yes—
1076#380C2312yes—
1077#380C2312yes—
1078#380C2312yes—
1079#380C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2311yescharacteristic
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C43C2311yescharacteristic
1102C22×Q8C2411yescharacteristic
1103C22×Q8C2412yes—
1104C22×Q8C2411yescharacteristic
1105C22×Q8C2412yes—
1106C22×Q8C2411yescharacteristic
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2411yescharacteristic
1109C22×D4C2412yes—
1110C22×D4C2412yes—
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2411yescharacteristic
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2411yescharacteristic
1123C22×D4C2411yescharacteristic
1124C22×D4C2411yescharacteristic
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C4⋊Q8—82no—
1142#126—44no—
1143#126—44no—
1144#126—82no—
1145#126—82no—
1146#125—44no—
1147#125—42no—
1148#125—42no—
1149#125—44no—
1150#125—44no—
1151#125—82no—
1152#124—24no—
1153#124—42no—
1154#124—42no—
1155#124—44no—
1156#124—44no—
1157#124—82no—
1158#124—82no—
1159#123—28no—
1160#123—44no—
1161#123—44no—
1162#123—44no—
1163#123—44no—
1164#123—44no—
1165#123—44no—
1166#123—44no—
1167#123—44no—
1168#123—82no—
1169#123—82no—
1170#123—82no—
1171#123—82no—
1172#123—82no—
1173#123—82no—
1174C22⋊Q8—44no—
1175C22⋊Q8—44no—
1176C22⋊Q8—44no—
1177C22⋊Q8—44no—
1178C22⋊Q8—44no—
1179C22⋊Q8—44no—
1180C22⋊Q8—44no—
1181C22⋊Q8—44no—
1182C22⋊Q8—44no—
1183C22⋊Q8—82no—
1184C22⋊Q8—82no—
1185C22⋊Q8—82no—
1186C22⋊Q8—82no—
1187C22⋊Q8—82no—
1188#121—28no—
1189#121—28no—
1190#121—28no—
1191#121—44no—
1192#121—44no—
1193#121—44no—
1194#121—44no—
1195#121—44no—
1196#121—44no—
1197#121—44no—
1198#121—44no—
1199#121—82no—
1200#121—82no—
1201#121—82no—
1202C4×Q8—42no—
1203C4×D4—44no—
1204C4×D4—42no—
1205C4×D4—42no—
1206C4×D4—44no—
1207C4×D4—44no—
1208C4×D4—44no—
1209C4×D4—44no—
1210C4×D4—82no—
1211C4×D4—82no—
1212C4×D4—82no—
1213C4×D4—82no—
1214C4×D4—82no—
1215C4×D4—82no—
1216#117—44no—
1217#117—82no—
1218C2×C4⋊C4—44no—
1219C2×C4⋊C4—44no—
1220C2×C4⋊C4—82no—
1221C2×C4⋊C4—82no—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2411yescharacteristic
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2411yescharacteristic
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2411yescharacteristic
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2411yescharacteristic
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2411yescharacteristic
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2411yescharacteristic
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2411yescharacteristic
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2411yescharacteristic
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2411yescharacteristic
1307C2×C4⋊C4C2411yescharacteristic
1308C2×C4⋊C4C2411yescharacteristic
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2411yescharacteristic
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2411yescharacteristic
1313C2×C4⋊C4C2411yescharacteristic
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C42—82no—
1395C2×C42C2411yescharacteristic
1396C2×C42C2412yes—
1397C2×C42C2411yescharacteristic
1398C2×C42C2411yescharacteristic
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2411yescharacteristic
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2411yescharacteristic
1413C2×C42C2411yescharacteristic
1414C2×C42C2411yescharacteristic
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527C24C2512yes—
1528C24C2512yes—
1529C24C2512yes—
1530C24C2512yes—
1531C2×Q8—22no—
1532C2×Q8—41no—
1533C2×Q8—41no—
1534C2×Q8—41no—
1535C2×Q8—41no—
1536C2×Q8—42no—
1537C2×Q8—42no—
1538C2×Q8—42no—
1539C2×Q8—41no—
1540C2×Q8—41no—
1541C2×Q8—42no—
1542C2×Q8—41no—
1543C2×Q8—42no—
1544C2×Q8—41no—
1545C2×Q8—41no—
1546C2×Q8—41no—
1547C2×Q8—41no—
1548C2×Q8—41no—
1549C2×Q8—41no—
1550C2×Q8—42no—
1551C2×Q8—41no—
1552C2×D4—24no—
1553C2×D4—24no—
1554C2×D4—24no—
1555C2×D4—24no—
1556C2×D4—24no—
1557C2×D4—24no—
1558C2×D4—22no—
1559C2×D4—41no—
1560C2×D4—41no—
1561C2×D4—42no—
1562C2×D4—42no—
1563C2×D4—42no—
1564C2×D4—42no—
1565C2×D4—42no—
1566C2×D4—42no—
1567C2×D4—42no—
1568C2×D4—42no—
1569C2×D4—42no—
1570C2×D4—42no—
1571C2×D4—41no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C2×D4—42no—
1575C2×D4—41no—
1576C2×D4—42no—
1577C2×D4—42no—
1578C2×D4—42no—
1579C2×D4—42no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C2×D4—42no—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—41no—
1589C2×D4—41no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—41no—
1594C2×D4—42no—
1595C2×D4—41no—
1596C2×D4—41no—
1597C2×D4—41no—
1598C2×D4—42no—
1599C2×D4H(5,𝔽2)14yes—
1600C22×C4—24no—
1601C22×C4—24no—
1602C22×C4—24no—
1603C22×C4—24no—
1604C22×C4—24no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—42no—
1612C22×C4—42no—
1613C22×C4—42no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—42no—
1620C22×C4—42no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—42no—
1625C22×C4—42no—
1626C22×C4—42no—
1627C22×C4—42no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4—42no—
1631C22×C4—42no—
1632C22×C4—42no—
1633C22×C4—42no—
1634C22×C4—42no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—42no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2512yes—
1651C22×C4C2512yes—
1652C22×C4C2511yescharacteristic
1653C22×C4C2511yescharacteristic
1654C22×C4C2511yescharacteristic
1655C22×C4C2512yes—
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C22×C4C2512yes—
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2512yes—
1665C22×C4C2511yescharacteristic
1666C22×C4C2511yescharacteristic
1667C22×C4C2512yes—
1668C22×C4C2512yes—
1669C22×C4C2512yes—
1670C22×C4C2512yes—
1671C22×C4C2512yes—
1672C22×C4C2512yes—
1673C22×C4C2512yes—
1674C22×C4C2512yes—
1675C22×C4C2512yes—
1676C22×C4C2512yes—
1677C22×C4C2511yescharacteristic
1678C22×C4C2511yescharacteristic
1679C4⋊C4—24no—
1680C4⋊C4—24no—
1681C4⋊C4—24no—
1682C4⋊C4—24no—
1683C4⋊C4—24no—
1684C4⋊C4—24no—
1685C4⋊C4—24no—
1686C4⋊C4—22no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—41no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—41no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—41no—
1703C4⋊C4—41no—
1704C4⋊C4—41no—
1705C4⋊C4—41no—
1706C4⋊C4—41no—
1707C4⋊C4—41no—
1708C4⋊C4—41no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—41no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—41no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—41no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—41no—
1753C4⋊C4—41no—
1754C4⋊C4—41no—
1755C4⋊C4—41no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—41no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—41no—
1770C4⋊C4—42no—
1771C22⋊C4—24no—
1772C22⋊C4—24no—
1773C22⋊C4—24no—
1774C22⋊C4—24no—
1775C22⋊C4—24no—
1776C22⋊C4—24no—
1777C22⋊C4—24no—
1778C22⋊C4—24no—
1779C22⋊C4—24no—
1780C22⋊C4—24no—
1781C22⋊C4—24no—
1782C22⋊C4—24no—
1783C22⋊C4—24no—
1784C22⋊C4—42no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C42—22no—
1852C42—22no—
1853C42—24no—
1854C42—42no—
1855C42—42no—
1856C42—42no—
1857C42—42no—
1858C42—41no—
1859C42—42no—
1860C42—42no—
1861C42—41no—
1862C42—41no—
1863C42—42no—
1864C42—42no—
1865C42—42no—
1866C42—41no—
1867C42—42no—
1868C42—42no—
1869C42—42no—
1870C42—42no—
1871C42—42no—
1872C42—42no—
1873C42—41no—
1874C23—22no—
1875C23—22no—
1876C23—22no—
1877C23—22no—
1878C23—22no—
1879C23—22no—
1880C23—22no—
1881C23—22no—
1882C23—22no—
1883C23—22no—
1884C23—22no—
1885C23—22no—
1886C23—22no—
1887C23—22no—
1888C23—22no—
1889C23—22no—
1890C23—22no—
1891C23—22no—
1892C23—22no—
1893C23—22no—
1894C23—22no—
1895C23—22no—
1896C23—22no—
1897C23—22no—
1898C23—22no—
1899C23—22no—
1900C23—22no—
1901C23C2×H(5,𝔽2)14yes—
1902C23C2611yescharacteristic
1903Q8—82no—
1904Q8—161no—
1905Q8—161no—
1906Q8—162no—
1907Q8—161no—
1908Q8—162no—
1909Q8—161no—
1910D4—44no—
1911D4—82no—
1912D4—84no—
1913D4—84no—
1914D4—84no—
1915D4—84no—
1916D4—84no—
1917D4—84no—
1918D4—84no—
1919D4—84no—
1920D4—84no—
1921D4—84no—
1922D4—161no—
1923D4—161no—
1924D4—162no—
1925D4—162no—
1926C2×C4—21no—
1927C2×C4—21no—
1928C2×C4—21no—
1929C2×C4—21no—
1930C2×C4—21no—
1931C2×C4—21no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—21no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—21no—
1967C2×C4—21no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—21no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—21no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—21no—
1988C2×C4—21no—
1989C2×C4—21no—
1990C2×C4—21no—
1991C2×C4—21no—
1992C2×C4—21no—
1993C2×C4—21no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—21no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—84no—
2018C2×C4—84no—
2019C2×C4—84no—
2020C2×C4—84no—
2021C2×C4—84no—
2022C2×C4—84no—
2023C2×C4—84no—
2024C2×C4—84no—
2025C2×C4—84no—
2026C2×C4—162no—
2027C2×C4—162no—
2028C2×C4—162no—
2029C2×C4—162no—
2030C2×C4—162no—
2031C2×C4—162no—
2032C2×C4—162no—
2033C2×C4C2×H(5,𝔽2)12yes—
2034C2×C4#58512yes—
2035C22—24no—
2036C22—24no—
2037C22—24no—
2038C22—42no—
2039C22—42no—
2040C22—42no—
2041C22—42no—
2042C22—42no—
2043C22—42no—
2044C22—42no—
2045C22—42no—
2046C22—42no—
2047C22—42no—
2048C22—42no—
2049C22—42no—
2050C22—42no—
2051C22—42no—
2052C22—42no—
2053C22—42no—
2054C22—42no—
2055C22—42no—
2056C22—42no—
2057C22—42no—
2058C22—42no—
2059C22—42no—
2060C22—42no—
2061C22—42no—
2062C22—42no—
2063C22C22×H(5,𝔽2)11yescharacteristic
2064C22C2×#58511yescharacteristic
2065C22H(7,𝔽2)11yescharacteristic
2066C22H(7,𝔽2)11yescharacteristic
2067C222−1+611yescharacteristic
2068C222−1+611yescharacteristic
2069C222−1+611yescharacteristic
2070C4—22no—
2071C4—22no—
2072C4—42no—
2073C4—42no—
2074C4—41no—
2075C4—42no—
2076C4—42no—
2077C4—42no—
2078C4—42no—
2079C4—42no—
2080C4—41no—
2081C4—41no—
2082C4—42no—
2083C4—42no—
2084C4—42no—
2085C4—42no—
2086C4—41no—
2087C4—42no—
2088C4—42no—
2089C4—42no—
2090C4—42no—
2091C4—42no—
2092C4—42no—
2093C4—42no—
2094C4—42no—
2095C4—42no—
2096C4—42no—
2097C4—42no—
2098C4—42no—
2099C4—42no—
2100C4—41no—
2101C2—44no—
2102C2—82no—
2103C2—82no—
2104C2—82no—
2105C2#6286911yescharacteristic
2106C2#6290511yescharacteristic
2107C2#6297511yescharacteristic
2108C2#6297711yescharacteristic
2109C2#6304911yescharacteristic
2110C2#6305311yescharacteristic
2111C2#6306311yescharacteristic
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. #58280C2semidirect
2. #57722C2semidirect
3. #56769C2semidirect
4. #56440C2semidirect
5. #55813C2semidirect
6. #55569C2semidirect
7. #55560C2semidirect
8. #55442C2semidirect
9. #55377C2semidirect
10. #55250C2semidirect
11. #54835C2semidirect
12. #54824C2semidirect
13. #54416C2semidirect
14. #54358C2semidirect
15. #54266C2semidirect
16. #53374C2semidirect
17. #53356C2semidirect
18. #53284C2semidirect
19. #53277C2semidirect
20. #51578C2semidirect
21. #50683C2semidirect
22. #50673C2semidirect
23. #48813C2semidirect
24. #48159C2semidirect
25. #48153C2semidirect
26. #46236C2semidirect
27. #46125C2semidirect
28. #45956C2semidirect
29. #45938C2semidirect
30. #45784C2semidirect
31. #45558C2semidirect
32. #39279C2semidirect
33. #39193C2semidirect
34. #37162C2semidirect
35. #36859C2semidirect

Maximal subgroups

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

subgroupindex
#582802
#577222
#567692
#564402
#558132
#555692
#555602
#554422
#553772
#552502
#548352
#548242
#544162
#543582
#542662
#533742
#533562
#532842
#532772
#515782
#506832
#506732
#488132
#481592
#481532
#462362
#461252
#459562
#459382
#457842
#455582
#392792
#391932
#371622
#368592