Finite Group Databasebeta

← #9435241

Subgroups — #9435241

Order 512.

4399 conjugacy classes of subgroups.

The subgroup lattice has 2179 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58436C212yesmaximal, complemented
2#58237C212yesmaximal, complemented
3#58127C212yesmaximal, complemented
4#57894C212yesmaximal, complemented
5#57730C212yesmaximal, complemented
6#55643C212yesmaximal, complemented
7#54930C212yesmaximal, complemented
8#54909C212yesmaximal, complemented
9#54466C212yesmaximal, complemented
10#53864C212yesmaximal, complemented
11#53507C212yesmaximal, complemented
12#53490C212yesmaximal, complemented
13#53241C212yesmaximal, complemented
14#53180C211yesmaximal, characteristic, complemented
15#52017C212yesmaximal, complemented
16#51323C212yesmaximal, complemented
17#49083C212yesmaximal, complemented
18#48710C212yesmaximal, complemented
19#48599C212yesmaximal, complemented
20#48389C212yesmaximal, complemented
21#47622C212yesmaximal, complemented
22#46717C212yesmaximal, complemented
23#46445C212yesmaximal, complemented
24#46132C211yesmaximal, characteristic, complemented
25#45689C212yesmaximal, complemented
26#40452C212yesmaximal, complemented
27#39679C211yesmaximal, characteristic, complemented
28#39667C212yesmaximal, complemented
29#39441C212yesmaximal, complemented
30#39137C211yesmaximal, characteristic, complemented
31#37771C211yesmaximal, characteristic, complemented
32#37165C212yesmaximal, complemented
33#37157C211yesmaximal, characteristic, complemented
34#36927C212yesmaximal, complemented
35#36761C211yesmaximal, characteristic, complemented
36C2×#563C2211yescharacteristic
37C2×#559C2211yescharacteristic
38C2×#542C2212yes—
39C2×#539C2211yescharacteristic
40C2×#529C2211yescharacteristic
41#2856C2211yescharacteristic
42#2855C2212yes—
43#2854C2212yes—
44#2854C2212yes—
45#2854C2211yescharacteristic
46#2851C2211yescharacteristic
47#2851C2211yescharacteristic
48#2850C2212yes—
49#2841C2212yes—
50#2841C2212yes—
51#2837C2212yes—
52#2837C2212yes—
53#2837C2212yes—
54#2837C2212yes—
55#2837C2212yes—
56#2836C2212yes—
57#2830C2212yes—
58#2829C2212yes—
59#2827C2212yes—
60#2822C2211yescharacteristic
61#2822C2211yescharacteristic
62#2814C2212yes—
63#2813C2212yes—
64#2809C2212yes—
65#2809C2212yes—
66#2809C2212yes—
67#2808C2211yescharacteristic
68#2807C2212yes—
69#2807C2212yes—
70#2805C2211yescharacteristic
71#2805C2212yes—
72#2804C2212yes—
73#2802C2212yes—
74#2800C2212yes—
75#2800C2212yes—
76#2791C2212yes—
77#2791C2212yes—
78#2790C2212yes—
79#2790C2212yes—
80#2790C2212yes—
81#2790C2212yes—
82#2790C2212yes—
83#2788C2212yes—
84#2786C2212yes—
85#2786C2212yes—
86#2784C2212yes—
87#2781C2212yes—
88#2780C2212yes—
89#2780C2212yes—
90#2780C2212yes—
91#2780C2212yes—
92#2780C2212yes—
93#2779C2212yes—
94#2779C2212yes—
95#2779C2212yes—
96#2779C2212yes—
97#2774C2212yes—
98#2772C2212yes—
99#2768C2212yes—
100#2767C2212yes—
101#2761C2212yes—
102#2761C2212yes—
103#2761C2212yes—
104#2761C2212yes—
105#2755C2212yes—
106#2754C2212yes—
107#2751C2212yes—
108#2750C2212yes—
109#2750C2212yes—
110#2747C2212yes—
111#2744C2212yes—
112#2743C2212yes—
113#2741C2212yes—
114#2741C2212yes—
115#2740C2212yes—
116#2740C2212yes—
117#2740C2212yes—
118#2739C2212yes—
119#2732C2212yes—
120#2731C2212yes—
121#2730C2212yes—
122#2730C2212yes—
123#2730C2212yes—
124#2729C2212yes—
125#2727C2212yes—
126#2727C2211yescharacteristic
127#2726C2211yescharacteristic
128#2725C2212yes—
129#2725C2212yes—
130#2725C2212yes—
131#2724C2211yescharacteristic
132#2723C2212yes—
133#2722C2212yes—
134#2722C2212yes—
135#2721C2212yes—
136#2721C2212yes—
137#2720C2212yes—
138#2719C2212yes—
139#2718C2212yes—
140#2715C2212yes—
141#2715C2212yes—
142#2714C2212yes—
143#2714C2212yes—
144#2712C2212yes—
145#2711C2212yes—
146#2710C2212yes—
147#2710C2212yes—
148#2709C2212yes—
149#2708C2212yes—
150#2708C2212yes—
151#2708C2212yes—
152#2707C2212yes—
153#2707C2212yes—
154#2707C2212yes—
155#2707C2212yes—
156#2706C2212yes—
157#2706C2212yes—
158#2705C2212yes—
159#2705C2212yes—
160#2705C2212yes—
161#2705C2212yes—
162#2703C2212yes—
163#2703C2212yes—
164#2701C2212yes—
165#2701C2212yes—
166#2700C2212yes—
167#2699C2212yes—
168#2699C2212yes—
169#2695C2212yes—
170#2695C2212yes—
171#2694C2212yes—
172#2694C2212yes—
173#2693C2212yes—
174#2692C2212yes—
175#2692C2212yes—
176#2692C2212yes—
177#2691C2212yes—
178#2691C2212yes—
179#2690C2212yes—
180#2689C2212yes—
181#2688C2212yes—
182#2688C2212yes—
183#2688C2212yes—
184#2687C2212yes—
185#2687C2212yes—
186#2687C2212yes—
187#2687C2212yes—
188#2687C2212yes—
189#2683C2211yescharacteristic
190#2682C2212yes—
191#2682C2212yes—
192#2682C2211yescharacteristic
193#2682C2212yes—
194#2682C2212yes—
195#2682C2211yescharacteristic
196#2681C2212yes—
197#2681C2212yes—
198#2681C2212yes—
199#2681C2212yes—
200#2680C2212yes—
201#2676C2212yes—
202#2676C2212yes—
203#2675C2212yes—
204#2673C2212yes—
205#2673C2212yes—
206#2672C2212yes—
207#2672C2212yes—
208#2672C2212yes—
209#2671C2212yes—
210#2671C2212yes—
211#2671C2212yes—
212#2671C2212yes—
213#2671C2212yes—
214#2671C2212yes—
215#2671C2212yes—
216#2667C2212yes—
217#2667C2212yes—
218#2667C2212yes—
219#2667C2212yes—
220#2662C2212yes—
221#2662C2212yes—
222#2659C2211yescharacteristic
223#2656C2211yescharacteristic
224#2654C2212yes—
225#2654C2212yes—
226#2650C2212yes—
227#2648C2212yes—
228#2646C2211yescharacteristic
229#2637C2212yes—
230#2637C2212yes—
231#2636C2212yes—
232#2630C2212yes—
233#2630C2212yes—
234#2629C2212yes—
235#2627C2212yes—
236#2620C2212yes—
237#2618C2211yescharacteristic
238#2618C2211yescharacteristic
239#2618C2211yescharacteristic
240#2601C2212yes—
241#2601C2212yes—
242#2601C2212yes—
243#2590C2212yes—
244#2590C2212yes—
245#2589C2212yes—
246#2585C2212yes—
247#2585C2212yes—
248#2583C2212yes—
249#2582C2212yes—
250#2582C2212yes—
251#2581C2212yes—
252#2574C2212yes—
253#2569C2212yes—
254#2566C2212yes—
255#2566C2212yes—
256#2560C2212yes—
257#2559C2212yes—
258#2559C2212yes—
259#2558C2212yes—
260#2557C2212yes—
261#2557C2212yes—
262#2557C2212yes—
263#2556C2212yes—
264#2556C2212yes—
265#2556C2212yes—
266#2554C2212yes—
267#2554C2212yes—
268#2554C2212yes—
269#2548C2212yes—
270#2544C2212yes—
271#2543C2212yes—
272#2541C2211yescharacteristic
273#2540C2212yes—
274#2538C2211yescharacteristic
275#2537C2212yes—
276#2536C2212yes—
277#2536C2212yes—
278#2519C2212yes—
279#2511C2212yes—
280#2508C2212yes—
281#2507C2212yes—
282#2507C2212yes—
283#2505C2212yes—
284#2505C2212yes—
285#2505C2212yes—
286#2501C2212yes—
287#2498C2212yes—
288#2497C2212yes—
289#2489C2212yes—
290#2488C2212yes—
291#2487C2212yes—
292#2478C2212yes—
293#2476C2212yes—
294#2475C2212yes—
295#2475C2212yes—
296#2474C2212yes—
297#2473C2212yes—
298#2471C2212yes—
299#2470C2212yes—
300#2469C2212yes—
301#2469C2212yes—
302#2468C2212yes—
303#2468C2212yes—
304#2467C2212yes—
305#2467C2212yes—
306#2466C2212yes—
307#2463C2212yes—
308#2463C2212yes—
309#2462C2212yes—
310#2461C2212yes—
311#2459C2212yes—
312#2459C2212yes—
313#2459C2212yes—
314#2458C2212yes—
315#2458C2212yes—
316#2458C2212yes—
317#2457C2212yes—
318#2457C2212yes—
319#2457C2212yes—
320#2456C2212yes—
321#2454C2212yes—
322#2454C2212yes—
323#2450C2212yes—
324#2450C2212yes—
325#2450C2212yes—
326#2449C2212yes—
327#2448C2212yes—
328#2447C2212yes—
329#2446C2212yes—
330#2445C2212yes—
331#2444C2212yes—
332#2443C2212yes—
333#2443C2212yes—
334#2441C2212yes—
335#2438C2212yes—
336#2429C2212yes—
337#2428C2212yes—
338#2428C2212yes—
339#2426C2212yes—
340#2426C2212yes—
341#2426C2212yes—
342#2425C2212yes—
343#2425C2212yes—
344#2425C2212yes—
345#2425C2212yes—
346#2425C2212yes—
347#2423C2212yes—
348#2423C2212yes—
349#2422C2212yes—
350#2419C2212yes—
351#2419C2212yes—
352#2416C2212yes—
353#2414C2212yes—
354#2413C2212yes—
355#2379C2211yescharacteristic
356#2379C2212yes—
357#2377C2212yes—
358#2365C2212yes—
359#2364C2212yes—
360#2363C2212yes—
361#2360C2212yes—
362Q8×C4⋊C4C2211yescharacteristic
363#2333C2212yes—
364#2332C2212yes—
365#2332C2212yes—
366#2329C2211yescharacteristic
367#2329C2211yescharacteristic
368#2329C2211yescharacteristic
369#2325C2212yes—
370#2325C2212yes—
371#2325C2211yescharacteristic
372#2325C2211yescharacteristic
373#2324C2212yes—
374C4×C22⋊Q8C2212yes—
375C4×C22⋊Q8C2212yes—
376C4×C22⋊Q8C2211yescharacteristic
377C4×#121C2212yes—
378C2×#387C2211yescharacteristic
379#563—44no—
380#559—44no—
381#542—48no—
382#539—44no—
383C2×C4⋊Q8C2312yes—
384C2×#127C2311yescharacteristic
385C2×#127C2312yes—
386#529—44no—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#125C2311yescharacteristic
396C2×#125C2311yescharacteristic
397C2×#125C2311yescharacteristic
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#124C2311yescharacteristic
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#124C2312yes—
407C2×#124C2312yes—
408C2×#124C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
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×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2311yescharacteristic
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
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×C22⋊Q8C2312yes—
441C2×#121C2312yes—
442C2×#121C2311yescharacteristic
443C2×#121C2311yescharacteristic
444C2×#121C2312yes—
445C2×#121C2311yescharacteristic
446C2×#121C2311yescharacteristic
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2312yes—
468C2×C4×Q8C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×#117C2312yes—
481C2×#117C2312yes—
482C2×#117C2312yes—
483C22×C4⋊C4C2311yescharacteristic
484C22×C4⋊C4C2311yescharacteristic
485C22×C4⋊C4C2312yes—
486C22×C42C2311yescharacteristic
487C22×C42C2312yes—
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#400C2312yes—
514#400C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
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#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
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#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#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#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
654#395C2312yes—
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#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#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#394C2312yes—
697#394C2312yes—
698#394C2312yes—
699#394C2312yes—
700#394C2312yes—
701#394C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#393C2312yes—
706#393C2312yes—
707#393C2312yes—
708#393C2312yes—
709#393C2312yes—
710#393C2312yes—
711#393C2312yes—
712#392C2312yes—
713#392C2312yes—
714#392C2312yes—
715#392C2312yes—
716#392C2312yes—
717#392C2312yes—
718#392C2312yes—
719#392C2312yes—
720#392C2312yes—
721#392C2312yes—
722#392C2312yes—
723#392C2312yes—
724#392C2312yes—
725#392C2312yes—
726#392C2312yes—
727#392C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#391C2312yes—
742#391C2311yescharacteristic
743#391C2312yes—
744#390C2312yes—
745#390C2312yes—
746#390C2312yes—
747#390C2312yes—
748#390C2312yes—
749#390C2312yes—
750#390C2312yes—
751#390C2312yes—
752#390C2312yes—
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
756#390C2311yescharacteristic
757#390C2311yescharacteristic
758#390C2311yescharacteristic
759#390C2311yescharacteristic
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#389C2311yescharacteristic
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
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#389C2311yescharacteristic
796#389C2311yescharacteristic
797#389C2311yescharacteristic
798#389C2311yescharacteristic
799#389C2312yes—
800#389C2312yes—
801#389C2311yescharacteristic
802#389C2311yescharacteristic
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
811#389C2312yes—
812#389C2312yes—
813#389C2312yes—
814#389C2312yes—
815#389C2312yes—
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#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
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#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
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#384C2312yes—
1027#384C2311yescharacteristic
1028#384C2312yes—
1029#384C2312yes—
1030#382C2312yes—
1031#382C2312yes—
1032#382C2311yescharacteristic
1033#382C2311yescharacteristic
1034#382C2312yes—
1035#382C2312yes—
1036#382C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2311yescharacteristic
1050#380C2312yes—
1051#380C2311yescharacteristic
1052#380C2311yescharacteristic
1053#380C2312yes—
1054#380C2311yescharacteristic
1055#380C2311yescharacteristic
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2311yescharacteristic
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⋊C4C2311yescharacteristic
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C22⋊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—
1096C4×C22⋊C4C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2311yescharacteristic
1099C2×#95C2312yes—
1100C2×#95C2311yescharacteristic
1101C2×#95C2311yescharacteristic
1102C2×#95C2311yescharacteristic
1103C22×Q8C2412yes—
1104C22×Q8C2411yescharacteristic
1105C22×Q8C2412yes—
1106C22×Q8C2412yes—
1107C22×Q8C2411yescharacteristic
1108C22×D4C2412yes—
1109C22×D4C2412yes—
1110C22×D4C2412yes—
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2411yescharacteristic
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2411yescharacteristic
1123C22×D4C2411yescharacteristic
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2411yescharacteristic
1128C23×C4C2411yescharacteristic
1129C23×C4C2411yescharacteristic
1130C23×C4C2411yescharacteristic
1131C23×C4C2411yescharacteristic
1132C23×C4C2412yes—
1133C23×C4C2411yescharacteristic
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2411yescharacteristic
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2411yescharacteristic
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C4⋊Q8—28no—
1148#127—42no—
1149#127—82no—
1150#126—44no—
1151#126—44no—
1152#126—44no—
1153#126—44no—
1154#126—44no—
1155#126—44no—
1156#126—82no—
1157#126—82no—
1158#125—42no—
1159#125—42no—
1160#125—42no—
1161#125—44no—
1162#125—82no—
1163#125—82no—
1164#125—82no—
1165#124—24no—
1166#124—28no—
1167#124—44no—
1168#124—44no—
1169#124—44no—
1170#124—82no—
1171#124—82no—
1172#123—44no—
1173#123—44no—
1174#123—44no—
1175#123—44no—
1176#123—44no—
1177#123—44no—
1178#123—44no—
1179#123—44no—
1180#123—82no—
1181#123—82no—
1182#123—82no—
1183#123—82no—
1184#123—82no—
1185#123—82no—
1186#123—82no—
1187#123—82no—
1188#123—82no—
1189#123—82no—
1190C22⋊Q8—24no—
1191C22⋊Q8—28no—
1192C22⋊Q8—24no—
1193C22⋊Q8—28no—
1194C22⋊Q8—44no—
1195C22⋊Q8—44no—
1196C22⋊Q8—44no—
1197C22⋊Q8—44no—
1198C22⋊Q8—44no—
1199C22⋊Q8—82no—
1200C22⋊Q8—82no—
1201C22⋊Q8—82no—
1202C22⋊Q8—82no—
1203C22⋊Q8—82no—
1204#121—28no—
1205#121—42no—
1206#121—44no—
1207#121—44no—
1208#121—44no—
1209#121—44no—
1210#121—44no—
1211#121—42no—
1212#121—42no—
1213#121—42no—
1214#121—44no—
1215#121—82no—
1216#121—82no—
1217#121—82no—
1218#121—82no—
1219#121—82no—
1220#121—82no—
1221#121—82no—
1222#121—82no—
1223#121—82no—
1224#121—82no—
1225#121—82no—
1226C4×Q8—24no—
1227C4×Q8—42no—
1228C4×Q8—44no—
1229C4×Q8—82no—
1230C4×Q8—82no—
1231C4×Q8—82no—
1232C4×D4—44no—
1233C4×D4—44no—
1234C4×D4—42no—
1235C4×D4—44no—
1236C4×D4—44no—
1237C4×D4—44no—
1238C4×D4—82no—
1239C4×D4—82no—
1240C4×D4—82no—
1241C4×D4—82no—
1242C4×D4—82no—
1243#117—44no—
1244#117—44no—
1245#117—82no—
1246C2×C4⋊C4—42no—
1247C2×C4⋊C4—42no—
1248C2×C4⋊C4—82no—
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⋊C4C2412yes—
1274C2×C4⋊C4C2411yescharacteristic
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2411yescharacteristic
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2411yescharacteristic
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2411yescharacteristic
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×C4⋊C4C2412yes—
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2411yescharacteristic
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2411yescharacteristic
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2411yescharacteristic
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2411yescharacteristic
1343C2×C4⋊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×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C42—42no—
1433C2×C42—82no—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2411yescharacteristic
1438C2×C42C2411yescharacteristic
1439C2×C42C2411yescharacteristic
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451C2×C42C2412yes—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2412yes—
1455C2×C42C2412yes—
1456C2×C42C2412yes—
1457C2×C42C2411yescharacteristic
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—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550C24C2512yes—
1551C24C2512yes—
1552C24C2512yes—
1553C24C2512yes—
1554C24C2511yescharacteristic
1555C2×Q8—24no—
1556C2×Q8—22no—
1557C2×Q8—24no—
1558C2×Q8—41no—
1559C2×Q8—41no—
1560C2×Q8—42no—
1561C2×Q8—41no—
1562C2×Q8—42no—
1563C2×Q8—42no—
1564C2×Q8—42no—
1565C2×Q8—41no—
1566C2×Q8—42no—
1567C2×Q8—42no—
1568C2×Q8—42no—
1569C2×Q8H(5,𝔽2)14yes—
1570C2×D4—24no—
1571C2×D4—24no—
1572C2×D4—24no—
1573C2×D4—24no—
1574C2×D4—22no—
1575C2×D4—24no—
1576C2×D4—24no—
1577C2×D4—24no—
1578C2×D4—24no—
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—42no—
1589C2×D4—42no—
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—41no—
1601C2×D4—42no—
1602C2×D4—41no—
1603C2×D4—41no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—41no—
1609C2×D4—41no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—41no—
1616C2×D4—42no—
1617C2×D4—41no—
1618C2×D4—42no—
1619C2×D4—42no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—41no—
1624C2×D4—41no—
1625C2×D4—41no—
1626C2×D4—42no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—41no—
1630C22×C4—22no—
1631C22×C4—22no—
1632C22×C4—22no—
1633C22×C4—22no—
1634C22×C4—24no—
1635C22×C4—24no—
1636C22×C4—22no—
1637C22×C4—24no—
1638C22×C4—41no—
1639C22×C4—41no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—41no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—41no—
1654C22×C4—41no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—41no—
1658C22×C4—41no—
1659C22×C4—41no—
1660C22×C4—41no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—41no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—41no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—41no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—41no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—41no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—41no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—41no—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2511yescharacteristic
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2511yescharacteristic
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2511yescharacteristic
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2512yes—
1711C22×C4C2512yes—
1712C22×C4C2511yescharacteristic
1713C22×C4C2511yescharacteristic
1714C22×C4C2512yes—
1715C22×C4C2511yescharacteristic
1716C22×C4C2512yes—
1717C4⋊C4—24no—
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—22no—
1721C4⋊C4—22no—
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—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—41no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—41no—
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—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—41no—
1768C4⋊C4—42no—
1769C4⋊C4—41no—
1770C4⋊C4—41no—
1771C4⋊C4—41no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—41no—
1780C4⋊C4—41no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—41no—
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—
1796C4⋊C4—41no—
1797C4⋊C4—41no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—41no—
1805C4⋊C4—41no—
1806C4⋊C4—42no—
1807C4⋊C4—41no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—41no—
1811C4⋊C42−1+414yes—
1812C22⋊C4—24no—
1813C22⋊C4—24no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—24no—
1825C22⋊C4—24no—
1826C22⋊C4—24no—
1827C22⋊C4—24no—
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—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—42no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C42—22no—
1901C42—22no—
1902C42—24no—
1903C42—24no—
1904C42—24no—
1905C42—41no—
1906C42—41no—
1907C42—42no—
1908C42—42no—
1909C42—42no—
1910C42—42no—
1911C42—42no—
1912C42—42no—
1913C42—42no—
1914C42—42no—
1915C42—42no—
1916C42—42no—
1917C42—42no—
1918C42—42no—
1919C42—42no—
1920C42—42no—
1921C42—42no—
1922C42—42no—
1923C42—42no—
1924C23—21no—
1925C23—21no—
1926C23—21no—
1927C23—21no—
1928C23—21no—
1929C23—21no—
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—22no—
1947C23—22no—
1948C23—22no—
1949C23—22no—
1950C23—22no—
1951C23—22no—
1952C23—22no—
1953C23—22no—
1954C23—22no—
1955C23—22no—
1956C23—22no—
1957C23—22no—
1958C23#58512yes—
1959C23C2611yescharacteristic
1960Q8—44no—
1961Q8—84no—
1962Q8—84no—
1963Q8—82no—
1964Q8—84no—
1965D4—84no—
1966D4—84no—
1967D4—82no—
1968D4—84no—
1969D4—84no—
1970D4—84no—
1971D4—84no—
1972D4—84no—
1973D4—84no—
1974D4—84no—
1975D4—84no—
1976D4—161no—
1977D4—162no—
1978D4—162no—
1979D4—162no—
1980D4—162no—
1981D4—161no—
1982D4—161no—
1983D4—162no—
1984D4—162no—
1985C2×C4—21no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—21no—
1990C2×C4—21no—
1991C2×C4—22no—
1992C2×C4—21no—
1993C2×C4—22no—
1994C2×C4—21no—
1995C2×C4—21no—
1996C2×C4—21no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—21no—
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—21no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—21no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—21no—
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—21no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—21no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—21no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—21no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—21no—
2071C2×C4—84no—
2072C2×C4—82no—
2073C2×C4—84no—
2074C2×C4—82no—
2075C2×C4—84no—
2076C2×C4—82no—
2077C2×C4—82no—
2078C2×C4—82no—
2079C2×C4—84no—
2080C2×C4—84no—
2081C2×C4—84no—
2082C2×C4—84no—
2083C2×C4—161no—
2084C2×C4—162no—
2085C2×C4—162no—
2086C2×C4—162no—
2087C2×C4—162no—
2088C2×C4—162no—
2089C2×C4—161no—
2090C2×C4C2×H(5,𝔽2)12yes—
2091C2×C4C2×H(5,𝔽2)14yes—
2092C2×C4C2×2−1+414yes—
2093C2×C4C2×2−1+412yes—
2094C22—22no—
2095C22—22no—
2096C22—22no—
2097C22—41no—
2098C22—41no—
2099C22—41no—
2100C22—41no—
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—
2117C22—42no—
2118C22—42no—
2119C22—42no—
2120C22—42no—
2121C22—42no—
2122C22—42no—
2123C22—42no—
2124C22—42no—
2125C22—42no—
2126C22—42no—
2127C22—42no—
2128C22—42no—
2129C22C22×H(5,𝔽2)11yescharacteristic
2130C22C22×2−1+411yescharacteristic
2131C22C2×#58511yescharacteristic
2132C22H(7,𝔽2)11yescharacteristic
2133C22H(7,𝔽2)11yescharacteristic
2134C22H(7,𝔽2)11yescharacteristic
2135C222−1+611yescharacteristic
2136C4—24no—
2137C4—22no—
2138C4—24no—
2139C4—22no—
2140C4—42no—
2141C4—42no—
2142C4—42no—
2143C4—41no—
2144C4—42no—
2145C4—42no—
2146C4—42no—
2147C4—42no—
2148C4—42no—
2149C4—42no—
2150C4—42no—
2151C4—41no—
2152C4—42no—
2153C4—42no—
2154C4—41no—
2155C4—42no—
2156C4—42no—
2157C4—42no—
2158C4—42no—
2159C4—41no—
2160C4—42no—
2161C4—42no—
2162C4—42no—
2163C4—42no—
2164C4—42no—
2165C4—42no—
2166C2—42no—
2167C2—82no—
2168C2—82no—
2169C2—82no—
2170C2—82no—
2171C2#6286611yescharacteristic
2172C2#6287011yescharacteristic
2173C2#6289911yescharacteristic
2174C2#6291711yescharacteristic
2175C2#6294911yescharacteristic
2176C2#6297411yescharacteristic
2177C2#6305411yescharacteristic
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. #58436C2semidirect
2. #58237C2semidirect
3. #58127C2semidirect
4. #57894C2semidirect
5. #57730C2semidirect
6. #55643C2semidirect
7. #54930C2semidirect
8. #54909C2semidirect
9. #54466C2semidirect
10. #53864C2semidirect
11. #53507C2semidirect
12. #53490C2semidirect
13. #53241C2semidirect
14. #53180C2semidirect
15. #52017C2semidirect
16. #51323C2semidirect
17. #49083C2semidirect
18. #48710C2semidirect
19. #48599C2semidirect
20. #48389C2semidirect
21. #47622C2semidirect
22. #46717C2semidirect
23. #46445C2semidirect
24. #46132C2semidirect
25. #45689C2semidirect
26. #40452C2semidirect
27. #39679C2semidirect
28. #39667C2semidirect
29. #39441C2semidirect
30. #39137C2semidirect
31. #37771C2semidirect
32. #37165C2semidirect
33. #37157C2semidirect
34. #36927C2semidirect
35. #36761C2semidirect

Maximal subgroups

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

subgroupindex
#584362
#582372
#581272
#578942
#577302
#556432
#549302
#549092
#544662
#538642
#535072
#534902
#532412
#531802
#520172
#513232
#490832
#487102
#485992
#483892
#476222
#467172
#464452
#461322
#456892
#404522
#396792
#396672
#394412
#391372
#377712
#371652
#371572
#369272
#367612