Finite Group Databasebeta

← #8757613

Subgroups — #8757613

Order 512.

4408 conjugacy classes of subgroups.

The subgroup lattice has 2163 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#57794C212yesmaximal, complemented
2#57549C212yesmaximal, complemented
3#57206C212yesmaximal, complemented
4#57024C212yesmaximal, complemented
5#56930C212yesmaximal, complemented
6#56909C212yesmaximal, complemented
7#56587C212yesmaximal, complemented
8#56585C212yesmaximal, complemented
9#54799C212yesmaximal, complemented
10#54792C212yesmaximal, complemented
11#54555C212yesmaximal, complemented
12#54303C212yesmaximal, complemented
13#52083C211yesmaximal, characteristic, complemented
14#52076C211yesmaximal, characteristic, complemented
15#51976C212yesmaximal, complemented
16#51926C212yesmaximal, complemented
17#51838C212yesmaximal, complemented
18#51684C212yesmaximal, complemented
19#51535C212yesmaximal, complemented
20#47655C212yesmaximal, complemented
21#47254C212yesmaximal, complemented
22#46785C212yesmaximal, complemented
23#46766C212yesmaximal, complemented
24#46456C211yesmaximal, characteristic, complemented
25#46455C211yesmaximal, characteristic, complemented
26#46395C212yesmaximal, complemented
27#46348C211yesmaximal, characteristic, complemented
28#46257C212yesmaximal, complemented
29#46214C212yesmaximal, complemented
30#46099C211yesmaximal, characteristic, complemented
31#45754C212yesmaximal, complemented
32#45553C212yesmaximal, complemented
33#45547C212yesmaximal, complemented
34#35307C211yesmaximal, characteristic, complemented
35#35195C212yesmaximal, complemented
36C2×#563C2211yescharacteristic
37C2×#555C2211yescharacteristic
38C2×#542C2212yes—
39C2×#536C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41#2855C2212yes—
42#2855C2212yes—
43#2852C2212yes—
44#2852C2212yes—
45#2850C2212yes—
46#2850C2212yes—
47#2841C2212yes—
48#2837C2212yes—
49#2836C2212yes—
50#2832C2212yes—
51#2831C2212yes—
52#2831C2212yes—
53#2831C2212yes—
54#2831C2212yes—
55#2830C2212yes—
56#2830C2212yes—
57#2829C2212yes—
58#2826C2212yes—
59#2825C2212yes—
60#2824C2212yes—
61#2824C2212yes—
62#2816C2211yescharacteristic
63#2815C2212yes—
64#2815C2211yescharacteristic
65#2814C2212yes—
66#2811C2211yescharacteristic
67#2810C2212yes—
68#2809C2211yescharacteristic
69#2807C2212yes—
70#2806C2212yes—
71#2804C2212yes—
72#2804C2212yes—
73#2799C2212yes—
74#2798C2212yes—
75#2798C2212yes—
76#2798C2212yes—
77#2797C2212yes—
78#2797C2212yes—
79#2796C2212yes—
80#2790C2212yes—
81#2788C2212yes—
82#2787C2212yes—
83#2782C2212yes—
84#2780C2212yes—
85#2780C2212yes—
86#2779C2212yes—
87#2775C2212yes—
88#2774C2212yes—
89#2770C2212yes—
90#2769C2212yes—
91#2767C2212yes—
92#2767C2212yes—
93#2764C2212yes—
94#2764C2212yes—
95#2763C2212yes—
96#2763C2212yes—
97#2762C2212yes—
98#2762C2212yes—
99#2761C2212yes—
100#2761C2212yes—
101#2761C2212yes—
102#2759C2212yes—
103#2758C2212yes—
104#2757C2212yes—
105#2757C2212yes—
106#2757C2212yes—
107#2756C2212yes—
108#2755C2212yes—
109#2755C2212yes—
110#2753C2212yes—
111#2752C2212yes—
112#2751C2212yes—
113#2751C2212yes—
114#2751C2212yes—
115#2751C2212yes—
116#2750C2212yes—
117#2749C2212yes—
118#2749C2212yes—
119#2749C2212yes—
120#2749C2212yes—
121#2749C2212yes—
122#2749C2212yes—
123#2748C2212yes—
124#2748C2212yes—
125#2745C2212yes—
126#2743C2212yes—
127#2733C2211yescharacteristic
128#2733C2211yescharacteristic
129#2733C2211yescharacteristic
130#2733C2211yescharacteristic
131#2732C2212yes—
132#2731C2212yes—
133#2731C2211yescharacteristic
134#2731C2211yescharacteristic
135#2730C2212yes—
136#2729C2212yes—
137#2728C2212yes—
138#2725C2212yes—
139#2723C2212yes—
140#2723C2212yes—
141#2723C2212yes—
142#2721C2212yes—
143#2720C2212yes—
144#2719C2212yes—
145#2717C2212yes—
146#2716C2212yes—
147#2716C2212yes—
148#2716C2212yes—
149#2715C2212yes—
150#2715C2212yes—
151#2715C2212yes—
152#2714C2212yes—
153#2714C2212yes—
154#2714C2212yes—
155#2713C2212yes—
156#2712C2212yes—
157#2712C2212yes—
158#2710C2212yes—
159#2710C2212yes—
160#2708C2212yes—
161#2707C2212yes—
162#2706C2212yes—
163#2706C2212yes—
164#2705C2212yes—
165#2705C2212yes—
166#2704C2212yes—
167#2703C2212yes—
168#2703C2212yes—
169#2703C2212yes—
170#2702C2212yes—
171#2701C2212yes—
172#2700C2212yes—
173#2700C2212yes—
174#2698C2212yes—
175#2696C2212yes—
176#2696C2212yes—
177#2695C2212yes—
178#2695C2212yes—
179#2694C2212yes—
180#2694C2212yes—
181#2693C2212yes—
182#2693C2212yes—
183#2693C2212yes—
184#2692C2212yes—
185#2691C2212yes—
186#2691C2212yes—
187#2691C2212yes—
188#2689C2212yes—
189#2689C2212yes—
190#2688C2212yes—
191#2688C2212yes—
192#2687C2212yes—
193#2682C2212yes—
194#2682C2212yes—
195#2681C2212yes—
196#2681C2212yes—
197#2676C2212yes—
198#2676C2212yes—
199#2676C2212yes—
200#2676C2212yes—
201#2673C2212yes—
202#2673C2212yes—
203#2671C2212yes—
204#2671C2212yes—
205#2671C2212yes—
206#2666C2212yes—
207#2664C2212yes—
208#2662C2212yes—
209#2662C2212yes—
210#2661C2212yes—
211#2661C2212yes—
212#2654C2212yes—
213#2652C2212yes—
214#2639C2212yes—
215#2636C2212yes—
216#2636C2212yes—
217#2631C2212yes—
218#2631C2212yes—
219#2631C2212yes—
220#2628C2212yes—
221#2625C2212yes—
222#2625C2212yes—
223#2621C2212yes—
224#2609C2212yes—
225#2609C2212yes—
226#2608C2211yescharacteristic
227#2607C2212yes—
228#2607C2211yescharacteristic
229#2602C2212yes—
230#2601C2212yes—
231#2601C2212yes—
232#2598C2212yes—
233#2598C2212yes—
234#2588C2212yes—
235#2587C2212yes—
236#2579C2212yes—
237#2579C2212yes—
238#2577C2212yes—
239#2574C2212yes—
240#2574C2212yes—
241#2569C2212yes—
242#2566C2212yes—
243#2560C2212yes—
244#2559C2212yes—
245#2558C2212yes—
246#2557C2212yes—
247#2557C2212yes—
248#2557C2212yes—
249#2556C2212yes—
250#2554C2212yes—
251#2553C2212yes—
252#2553C2212yes—
253#2549C2212yes—
254#2533C2212yes—
255#2532C2212yes—
256#2530C2212yes—
257#2529C2212yes—
258#2525C2212yes—
259#2524C2212yes—
260#2524C2212yes—
261#2524C2212yes—
262#2523C2212yes—
263#2523C2212yes—
264#2523C2212yes—
265#2521C2212yes—
266#2521C2212yes—
267#2519C2212yes—
268#2516C2212yes—
269#2512C2212yes—
270#2510C2212yes—
271#2508C2212yes—
272#2505C2212yes—
273#2505C2212yes—
274#2499C2212yes—
275#2498C2212yes—
276#2495C2212yes—
277#2492C2212yes—
278#2490C2212yes—
279#2489C2212yes—
280#2488C2212yes—
281#2488C2212yes—
282#2488C2212yes—
283#2481C2212yes—
284#2479C2212yes—
285#2478C2212yes—
286#2478C2212yes—
287#2477C2212yes—
288#2477C2212yes—
289#2477C2212yes—
290#2477C2212yes—
291#2475C2212yes—
292#2474C2212yes—
293#2473C2212yes—
294#2471C2212yes—
295#2471C2212yes—
296#2471C2212yes—
297#2471C2212yes—
298#2471C2212yes—
299#2471C2212yes—
300#2470C2212yes—
301#2468C2212yes—
302#2467C2212yes—
303#2467C2212yes—
304#2464C2212yes—
305#2463C2212yes—
306#2463C2212yes—
307#2461C2212yes—
308#2461C2212yes—
309#2460C2212yes—
310#2459C2212yes—
311#2457C2212yes—
312#2456C2212yes—
313#2456C2212yes—
314#2452C2212yes—
315#2452C2212yes—
316#2450C2212yes—
317#2449C2212yes—
318#2448C2212yes—
319#2447C2212yes—
320#2447C2212yes—
321#2446C2212yes—
322#2446C2212yes—
323#2445C2212yes—
324#2444C2212yes—
325#2444C2212yes—
326#2444C2212yes—
327#2443C2212yes—
328#2439C2212yes—
329#2438C2212yes—
330#2436C2211yescharacteristic
331#2436C2211yescharacteristic
332#2436C2211yescharacteristic
333#2434C2211yescharacteristic
334#2431C2212yes—
335#2431C2212yes—
336#2430C2212yes—
337#2430C2212yes—
338#2430C2212yes—
339#2428C2212yes—
340#2425C2212yes—
341#2425C2212yes—
342#2421C2212yes—
343#2420C2212yes—
344#2419C2212yes—
345#2419C2212yes—
346#2419C2212yes—
347#2419C2212yes—
348#2414C2212yes—
349#2413C2212yes—
350#2407C2212yes—
351#2407C2212yes—
352#2406C2212yes—
353#2383C2212yes—
354#2381C2211yescharacteristic
355#2381C2211yescharacteristic
356#2379C2211yescharacteristic
357#2379C2211yescharacteristic
358#2379C2211yescharacteristic
359#2379C2212yes—
360#2376C2212yes—
361#2369C2211yescharacteristic
362#2368C2212yes—
363#2333C2211yescharacteristic
364#2333C2211yescharacteristic
365#2333C2211yescharacteristic
366#2332C2211yescharacteristic
367#2328C2212yes—
368#2324C2212yes—
369#2320C2212yes—
370#2318C2212yes—
371#2316C2211yescharacteristic
372#2311C2212yes—
373#2311C2211yescharacteristic
374#2310C2211yescharacteristic
375C4×#121C2212yes—
376#2296C2211yescharacteristic
377C2×#391C2211yescharacteristic
378#2290C2212yes—
379C22×#41C2311yescharacteristic
380C22×#41C2312yes—
381C23×Q8C2311yescharacteristic
382#563—44no—
383#555—44no—
384#542—48no—
385#536—44no—
386C2×C4⋊Q8C2311yescharacteristic
387C2×C4⋊Q8C2311yescharacteristic
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2311yescharacteristic
390C2×C4⋊Q8C2311yescharacteristic
391C2×#127C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#124C2311yescharacteristic
407C2×#124C2311yescharacteristic
408C2×#124C2311yescharacteristic
409C2×#124C2311yescharacteristic
410C2×#124C2311yescharacteristic
411C2×#124C2311yescharacteristic
412C2×#124C2311yescharacteristic
413C2×#124C2311yescharacteristic
414C2×#124C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2311yescharacteristic
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×#121C2311yescharacteristic
441C2×#121C2312yes—
442C2×#121C2311yescharacteristic
443C2×#121C2311yescharacteristic
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C4×#41—44no—
455C2×C4×Q8C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×#117C2311yescharacteristic
466C2×#117C2311yescharacteristic
467C2×#117C2311yescharacteristic
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C2×#117C2312yes—
473C22×C4⋊C4C2311yescharacteristic
474C22×C4⋊C4C2312yes—
475C22×C42C2311yescharacteristic
476C22×C42C2312yes—
477#401C2312yes—
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#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
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#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
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#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
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#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#393C2312yes—
677#393C2312yes—
678#393C2312yes—
679#393C2312yes—
680#393C2312yes—
681#393C2312yes—
682#393C2312yes—
683#393C2312yes—
684#393C2312yes—
685#393C2312yes—
686#393C2312yes—
687#393C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#392C2312yes—
694#392C2312yes—
695#392C2312yes—
696#392C2312yes—
697#392C2312yes—
698#392C2312yes—
699#392C2312yes—
700#392C2312yes—
701#392C2312yes—
702#392C2312yes—
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#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2311yescharacteristic
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2311yescharacteristic
732#391C2312yes—
733#391C2311yescharacteristic
734#391C2312yes—
735#391C2312yes—
736#391C2311yescharacteristic
737#391C2312yes—
738#391C2312yes—
739#391C2311yescharacteristic
740#391C2311yescharacteristic
741#391C2311yescharacteristic
742#391C2311yescharacteristic
743#391C2311yescharacteristic
744#391C2311yescharacteristic
745#391C2311yescharacteristic
746#391C2311yescharacteristic
747#391C2312yes—
748#391C2312yes—
749#391C2312yes—
750#391C2312yes—
751#391C2312yes—
752#390C2312yes—
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
756#390C2312yes—
757#390C2312yes—
758#390C2312yes—
759#390C2312yes—
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#390C2312yes—
765#390C2312yes—
766#390C2312yes—
767#390C2312yes—
768#390C2312yes—
769#390C2312yes—
770#390C2312yes—
771#390C2312yes—
772#390C2312yes—
773#390C2312yes—
774#390C2312yes—
775#390C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#388C2312yes—
802#388C2312yes—
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#387C2312yes—
861#387C2312yes—
862#387C2312yes—
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#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
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#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
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#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#384C2312yes—
1026#383C2312yes—
1027#383C2312yes—
1028#383C2312yes—
1029#383C2312yes—
1030#383C2312yes—
1031#383C2312yes—
1032#383C2312yes—
1033#383C2312yes—
1034#382C2312yes—
1035#382C2312yes—
1036#382C2312yes—
1037#382C2312yes—
1038#382C2312yes—
1039#382C2312yes—
1040#382C2312yes—
1041#382C2312yes—
1042#382C2312yes—
1043#382C2312yes—
1044#381C2311yescharacteristic
1045#381C2311yescharacteristic
1046#381C2311yescharacteristic
1047#381C2311yescharacteristic
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—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2311yescharacteristic
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2311yescharacteristic
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2311yescharacteristic
1093C4×C22⋊C4C2311yescharacteristic
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098#376C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C2×#41—24no—
1104C2×#41—42no—
1105C2×#41—42no—
1106C2×#41—44no—
1107C2×#41—82no—
1108C2×#41—82no—
1109C22×Q8—42no—
1110C22×Q8—42no—
1111C22×Q8—42no—
1112C22×Q8C2411yescharacteristic
1113C22×Q8C2411yescharacteristic
1114C22×Q8C2411yescharacteristic
1115C22×Q8C2411yescharacteristic
1116C22×Q8C2412yes—
1117C22×Q8C2412yes—
1118C22×Q8C2411yescharacteristic
1119C22×Q8C2412yes—
1120C22×Q8C2411yescharacteristic
1121C22×D4C2412yes—
1122C22×D4C2411yescharacteristic
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2412yes—
1131C22×D4C2412yes—
1132C22×D4C2412yes—
1133C22×D4C2411yescharacteristic
1134C22×D4C2411yescharacteristic
1135C22×D4C2412yes—
1136C22×D4C2412yes—
1137C22×D4C2412yes—
1138C22×D4C2412yes—
1139C22×D4C2411yescharacteristic
1140C22×D4C2412yes—
1141C23×C4C2411yescharacteristic
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2411yescharacteristic
1146C23×C4C2411yescharacteristic
1147C23×C4C2412yes—
1148C23×C4C2412yes—
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2412yes—
1153C23×C4C2412yes—
1154C23×C4C2412yes—
1155C23×C4C2412yes—
1156C23×C4C2412yes—
1157C23×C4C2412yes—
1158C4⋊Q8—24no—
1159C4⋊Q8—24no—
1160C4⋊Q8—44no—
1161C4⋊Q8—42no—
1162C4⋊Q8—42no—
1163#127—44no—
1164#126—44no—
1165#126—44no—
1166#126—44no—
1167#126—44no—
1168#126—44no—
1169#126—82no—
1170#126—82no—
1171#126—82no—
1172#125—44no—
1173#125—82no—
1174#125—82no—
1175#124—28no—
1176#124—44no—
1177#124—44no—
1178#124—42no—
1179#124—42no—
1180#124—42no—
1181#124—42no—
1182#124—42no—
1183#124—42no—
1184#124—42no—
1185#124—42no—
1186#124—82no—
1187#123—44no—
1188#123—44no—
1189#123—44no—
1190#123—44no—
1191#123—44no—
1192#123—44no—
1193#123—82no—
1194#123—82no—
1195#123—82no—
1196#123—82no—
1197#123—82no—
1198#123—82no—
1199#123—82no—
1200C22⋊Q8—28no—
1201C22⋊Q8—42no—
1202C22⋊Q8—44no—
1203C22⋊Q8—44no—
1204C22⋊Q8—44no—
1205C22⋊Q8—44no—
1206C22⋊Q8—44no—
1207C22⋊Q8—82no—
1208C22⋊Q8—82no—
1209C22⋊Q8—82no—
1210C22⋊Q8—82no—
1211C22⋊Q8—82no—
1212#121—44no—
1213#121—44no—
1214#121—44no—
1215#121—44no—
1216#121—44no—
1217#121—42no—
1218#121—42no—
1219#121—42no—
1220#121—82no—
1221#121—82no—
1222#121—82no—
1223#121—82no—
1224#121—82no—
1225#121—82no—
1226C4×Q8—28no—
1227C4×D4—44no—
1228C4×D4—44no—
1229C4×D4—44no—
1230C4×D4—44no—
1231C4×D4—44no—
1232C4×D4—44no—
1233C4×D4—44no—
1234C4×D4—82no—
1235C4×D4—82no—
1236#117—42no—
1237#117—44no—
1238#117—44no—
1239#117—44no—
1240#117—42no—
1241#117—44no—
1242#117—42no—
1243#117—82no—
1244C2×C4⋊C4—42no—
1245C2×C4⋊C4—82no—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2411yescharacteristic
1284C2×C4⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊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⋊C4C2411yescharacteristic
1332C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1343C2×C22⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C42—44no—
1412C2×C42—42no—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2411yescharacteristic
1416C2×C42C2411yescharacteristic
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2411yescharacteristic
1420C2×C42C2411yescharacteristic
1421C2×C42C2412yes—
1422C2×C42C2411yescharacteristic
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2411yescharacteristic
1430C2×C42C2412yes—
1431C2×C42C2411yescharacteristic
1432C2×C42C2411yescharacteristic
1433C2×C42C2411yescharacteristic
1434C2×C42C2412yes—
1435C2×C42C2411yescharacteristic
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2411yescharacteristic
1439C2×C42C2412yes—
1440C2×C42C2411yescharacteristic
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—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545C24C2512yes—
1546C24C2512yes—
1547C24C2512yes—
1548C24C2512yes—
1549C24C2511yescharacteristic
1550#41—416no—
1551#41—816no—
1552C2×Q8—22no—
1553C2×Q8—22no—
1554C2×Q8—22no—
1555C2×Q8—22no—
1556C2×Q8—41no—
1557C2×Q8—41no—
1558C2×Q8—41no—
1559C2×Q8—41no—
1560C2×Q8—42no—
1561C2×Q8—42no—
1562C2×Q8—41no—
1563C2×Q8—41no—
1564C2×Q8—41no—
1565C2×Q8—41no—
1566C2×Q8—41no—
1567C2×Q8—41no—
1568C2×Q8—42no—
1569C2×Q8—41no—
1570C2×Q8—42no—
1571C2×Q8—42no—
1572C2×Q8—41no—
1573C2×Q8—42no—
1574C2×Q8—42no—
1575C2×Q8—41no—
1576C2×Q8—42no—
1577C2×Q8—42no—
1578C2×Q8—88no—
1579C2×Q8H(5,𝔽2)14yes—
1580C2×D4—24no—
1581C2×D4—24no—
1582C2×D4—24no—
1583C2×D4—24no—
1584C2×D4—24no—
1585C2×D4—22no—
1586C2×D4—24no—
1587C2×D4—41no—
1588C2×D4—42no—
1589C2×D4—41no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—41no—
1614C2×D4—41no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4—41no—
1619C2×D4—41no—
1620C2×D4—41no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C2×D4—42no—
1627C2×D4—41no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C2×D4—41no—
1631C2×D4—41no—
1632C2×D4—41no—
1633C2×D4—42no—
1634C2×D4—42no—
1635C2×D4—42no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C2×D4—42no—
1639C2×D4—42no—
1640C22×C4—22no—
1641C22×C4—22no—
1642C22×C4—22no—
1643C22×C4—24no—
1644C22×C4—22no—
1645C22×C4—22no—
1646C22×C4—24no—
1647C22×C4—24no—
1648C22×C4—24no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—41no—
1667C22×C4—41no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—41no—
1677C22×C4—41no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—42no—
1687C22×C4—42no—
1688C22×C4—42no—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4C2512yes—
1692C22×C4C2511yescharacteristic
1693C22×C4C2512yes—
1694C22×C4C2511yescharacteristic
1695C22×C4C2511yescharacteristic
1696C22×C4C2511yescharacteristic
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2512yes—
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2512yes—
1711C22×C4C2512yes—
1712C22×C4C2512yes—
1713C22×C4C2512yes—
1714C22×C4C2512yes—
1715C22×C4C2512yes—
1716C22×C4C2512yes—
1717C22×C4C2512yes—
1718C22×C4C2511yescharacteristic
1719C22×C4C2512yes—
1720C22×C4C2511yescharacteristic
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—24no—
1727C4⋊C4—24no—
1728C4⋊C4—24no—
1729C4⋊C4—24no—
1730C4⋊C4—24no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—41no—
1734C4⋊C4—41no—
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—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—41no—
1760C4⋊C4—41no—
1761C4⋊C4—41no—
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—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C22⋊C4—24no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—24no—
1803C22⋊C4—24no—
1804C22⋊C4—24no—
1805C22⋊C4—24no—
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—41no—
1822C22⋊C4—41no—
1823C22⋊C4—41no—
1824C22⋊C4—42no—
1825C22⋊C4—41no—
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—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C42—24no—
1887C42—24no—
1888C42—24no—
1889C42—24no—
1890C42—22no—
1891C42—22no—
1892C42—41no—
1893C42—42no—
1894C42—41no—
1895C42—42no—
1896C42—42no—
1897C42—41no—
1898C42—41no—
1899C42—42no—
1900C42—42no—
1901C42—42no—
1902C42—42no—
1903C42—42no—
1904C42—41no—
1905C42—41no—
1906C42—41no—
1907C42—41no—
1908C42—42no—
1909C42—42no—
1910C42—42no—
1911C42—41no—
1912C42—42no—
1913C42—41no—
1914C23—21no—
1915C23—21no—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—22no—
1920C23—22no—
1921C23—22no—
1922C23—22no—
1923C23—22no—
1924C23—22no—
1925C23—22no—
1926C23—22no—
1927C23—22no—
1928C23—22no—
1929C23—22no—
1930C23—22no—
1931C23—22no—
1932C23—22no—
1933C23—22no—
1934C23—22no—
1935C23—22no—
1936C23—22no—
1937C23—22no—
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—22no—
1943C23—22no—
1944C23—22no—
1945C23—22no—
1946C23#58512yes—
1947C23C2611yescharacteristic
1948Q8—44no—
1949Q8—82no—
1950Q8—82no—
1951Q8—82no—
1952Q8—82no—
1953Q8—84no—
1954Q8—162no—
1955Q8—162no—
1956Q8—161no—
1957D4—48no—
1958D4—44no—
1959D4—84no—
1960D4—84no—
1961D4—84no—
1962D4—84no—
1963D4—84no—
1964D4—84no—
1965D4—84no—
1966D4—84no—
1967D4—84no—
1968D4—162no—
1969D4—162no—
1970D4—162no—
1971D4—162no—
1972D4—162no—
1973D4—161no—
1974D4—161no—
1975D4—161no—
1976D4—162no—
1977C2×C4—28no—
1978C2×C4—21no—
1979C2×C4—21no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—21no—
1983C2×C4—21no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—21no—
1995C2×C4—21no—
1996C2×C4—21no—
1997C2×C4—21no—
1998C2×C4—22no—
1999C2×C4—22no—
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—21no—
2009C2×C4—21no—
2010C2×C4—21no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—21no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—21no—
2017C2×C4—21no—
2018C2×C4—21no—
2019C2×C4—22no—
2020C2×C4—21no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—48no—
2066C2×C4—48no—
2067C2×C4—84no—
2068C2×C4—82no—
2069C2×C4—82no—
2070C2×C4—84no—
2071C2×C4—84no—
2072C2×C4—84no—
2073C2×C4—84no—
2074C2×C4—84no—
2075C2×C4—84no—
2076C2×C4—84no—
2077C2×C4—162no—
2078C2×C4—162no—
2079C2×C4—162no—
2080C2×C4—162no—
2081C2×C4C2×H(5,𝔽2)12yes—
2082C2×C4C2×H(5,𝔽2)14yes—
2083C2×C4#58512yes—
2084C22—22no—
2085C22—22no—
2086C22—22no—
2087C22—42no—
2088C22—42no—
2089C22—42no—
2090C22—42no—
2091C22—42no—
2092C22—42no—
2093C22—42no—
2094C22—42no—
2095C22—42no—
2096C22—42no—
2097C22—42no—
2098C22—42no—
2099C22—42no—
2100C22—42no—
2101C22—42no—
2102C22—42no—
2103C22—42no—
2104C22—42no—
2105C22—42no—
2106C22—42no—
2107C22—42no—
2108C22—42no—
2109C22—42no—
2110C22—42no—
2111C22—42no—
2112C22—42no—
2113C22—42no—
2114C22—42no—
2115C22—42no—
2116C22—42no—
2117C22C22×H(5,𝔽2)11yescharacteristic
2118C22C2×#58511yescharacteristic
2119C22C2×#58511yescharacteristic
2120C22H(7,𝔽2)12yes—
2121C222−1+612yes—
2122C4—22no—
2123C4—22no—
2124C4—24no—
2125C4—42no—
2126C4—42no—
2127C4—42no—
2128C4—42no—
2129C4—42no—
2130C4—42no—
2131C4—42no—
2132C4—42no—
2133C4—42no—
2134C4—42no—
2135C4—42no—
2136C4—42no—
2137C4—42no—
2138C4—42no—
2139C4—42no—
2140C4—42no—
2141C4—41no—
2142C4—41no—
2143C4—41no—
2144C4—41no—
2145C4—42no—
2146C4—42no—
2147C4—42no—
2148C4—42no—
2149C4—42no—
2150C4—42no—
2151C4—42no—
2152C2—42no—
2153C2—82no—
2154C2—82no—
2155C2—82no—
2156C2—82no—
2157C2#6282011yescharacteristic
2158C2#6288412yes—
2159C2#6304611yescharacteristic
2160C2#6305212yes—
2161C2#6306411yescharacteristic
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. #57794C2semidirect
2. #57549C2semidirect
3. #57206C2semidirect
4. #57024C2semidirect
5. #56930C2semidirect
6. #56909C2semidirect
7. #56587C2semidirect
8. #56585C2semidirect
9. #54799C2semidirect
10. #54792C2semidirect
11. #54555C2semidirect
12. #54303C2semidirect
13. #52083C2semidirect
14. #52076C2semidirect
15. #51976C2semidirect
16. #51926C2semidirect
17. #51838C2semidirect
18. #51684C2semidirect
19. #51535C2semidirect
20. #47655C2semidirect
21. #47254C2semidirect
22. #46785C2semidirect
23. #46766C2semidirect
24. #46456C2semidirect
25. #46455C2semidirect
26. #46395C2semidirect
27. #46348C2semidirect
28. #46257C2semidirect
29. #46214C2semidirect
30. #46099C2semidirect
31. #45754C2semidirect
32. #45553C2semidirect
33. #45547C2semidirect
34. #35307C2semidirect
35. #35195C2semidirect

Maximal subgroups

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

subgroupindex
#577942
#575492
#572062
#570242
#569302
#569092
#565872
#565852
#547992
#547922
#545552
#543032
#520832
#520762
#519762
#519262
#518382
#516842
#515352
#476552
#472542
#467852
#467662
#464562
#464552
#463952
#463482
#462572
#462142
#460992
#457542
#455532
#455472
#353072
#351952