Finite Group Databasebeta

← #9243841

Subgroups — #9243841

Order 512.

4147 conjugacy classes of subgroups.

The subgroup lattice has 2043 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59258C211yesmaximal, characteristic, complemented
2#58908C212yesmaximal, complemented
3#58782C212yesmaximal, complemented
4#58311C212yesmaximal, complemented
5#58081C212yesmaximal, complemented
6#58050C212yesmaximal, complemented
7#57854C212yesmaximal, complemented
8#57651C212yesmaximal, complemented
9#57631C212yesmaximal, complemented
10#57432C212yesmaximal, complemented
11#56825C212yesmaximal, complemented
12#56488C212yesmaximal, complemented
13#55810C212yesmaximal, complemented
14#52428C212yesmaximal, complemented
15#51773C212yesmaximal, complemented
16#51660C212yesmaximal, complemented
17#51053C212yesmaximal, complemented
18#50511C212yesmaximal, complemented
19#50058C212yesmaximal, complemented
20#49297C212yesmaximal, complemented
21#48852C212yesmaximal, complemented
22#48788C212yesmaximal, complemented
23#47070C212yesmaximal, complemented
24#46496C212yesmaximal, complemented
25#45802C211yesmaximal, characteristic, complemented
26#43196C212yesmaximal, complemented
27#42176C212yesmaximal, complemented
28#42126C212yesmaximal, complemented
29#41373C212yesmaximal, complemented
30#40635C212yesmaximal, complemented
31#39627C211yesmaximal, characteristic, complemented
32#39478C211yesmaximal, characteristic, complemented
33#39453C211yesmaximal, characteristic
34#37867C211yesmaximal, characteristic, complemented
35#37466C211yesmaximal, characteristic, complemented
36C2×#552C2212yes—
37C2×#552C2212yes—
38C2×#539C2212yes—
39#2857C2211yescharacteristic
40#2854C2211yescharacteristic
41#2845C2212yes—
42#2843C2212yes—
43#2841C2212yes—
44#2839C2212yes—
45#2839C2212yes—
46#2839C2212yes—
47#2839C2212yes—
48#2839C2212yes—
49#2839C2212yes—
50#2839C2212yes—
51#2836C2212yes—
52#2833C2212yes—
53#2831C2212yes—
54#2827C2212yes—
55#2827C2212yes—
56#2822C2212yes—
57#2822C2212yes—
58#2822C2212yes—
59#2814C2212yes—
60#2808C2211yescharacteristic
61#2807C2212yes—
62#2807C2212yes—
63#2806C2212yes—
64#2805C2211yescharacteristic
65#2802C2212yes—
66#2802C2212yes—
67#2802C2212yes—
68#2802C2212yes—
69#2802C2212yes—
70#2796C2212yes—
71#2793C2212yes—
72#2793C2212yes—
73#2791C2212yes—
74#2791C2212yes—
75#2791C2212yes—
76#2791C2212yes—
77#2790C2212yes—
78#2790C2212yes—
79#2790C2212yes—
80#2788C2212yes—
81#2787C2212yes—
82#2787C2212yes—
83#2786C2212yes—
84#2784C2212yes—
85#2783C2212yes—
86#2782C2212yes—
87#2782C2212yes—
88#2780C2212yes—
89#2780C2212yes—
90#2780C2212yes—
91#2778C2212yes—
92#2776C2212yes—
93#2773C2212yes—
94#2773C2212yes—
95#2771C2212yes—
96#2771C2212yes—
97#2770C2212yes—
98#2770C2212yes—
99#2770C2212yes—
100#2769C2212yes—
101#2769C2212yes—
102#2768C2212yes—
103#2768C2212yes—
104#2767C2212yes—
105#2767C2212yes—
106#2767C2212yes—
107#2766C2212yes—
108#2765C2212yes—
109#2765C2212yes—
110#2765C2212yes—
111#2764C2212yes—
112#2764C2212yes—
113#2762C2212yes—
114#2755C2212yes—
115#2755C2212yes—
116#2755C2212yes—
117#2755C2212yes—
118#2753C2212yes—
119#2751C2212yes—
120#2750C2212yes—
121#2750C2212yes—
122#2748C2212yes—
123#2747C2212yes—
124#2747C2212yes—
125#2747C2212yes—
126#2747C2212yes—
127#2745C2212yes—
128#2743C2212yes—
129#2742C2212yes—
130#2738C2212yes—
131#2738C2212yes—
132#2732C2211yescharacteristic
133#2732C2211yescharacteristic
134#2732C2212yes—
135#2729C2212yes—
136#2729C2212yes—
137#2726C2212yes—
138#2726C2212yes—
139#2726C2211yescharacteristic
140#2726C2212yes—
141#2726C2212yes—
142#2726C2212yes—
143#2726C2211yescharacteristic
144#2725C2212yes—
145#2724C2212yes—
146#2724C2211yescharacteristic
147#2723C2212yes—
148#2722C2212yes—
149#2722C2212yes—
150#2722C2212yes—
151#2721C2212yes—
152#2721C2212yes—
153#2721C2212yes—
154#2720C2212yes—
155#2720C2212yes—
156#2719C2212yes—
157#2719C2212yes—
158#2719C2212yes—
159#2719C2212yes—
160#2719C2212yes—
161#2718C2212yes—
162#2708C2212yes—
163#2707C2212yes—
164#2706C2212yes—
165#2706C2212yes—
166#2704C2212yes—
167#2704C2212yes—
168#2704C2212yes—
169#2704C2212yes—
170#2704C2212yes—
171#2698C2212yes—
172#2698C2212yes—
173#2695C2212yes—
174#2695C2212yes—
175#2695C2212yes—
176#2695C2212yes—
177#2695C2212yes—
178#2695C2212yes—
179#2695C2212yes—
180#2695C2212yes—
181#2693C2212yes—
182#2692C2212yes—
183#2690C2212yes—
184#2690C2212yes—
185#2689C2212yes—
186#2689C2212yes—
187#2687C2212yes—
188#2687C2212yes—
189#2682C2211yescharacteristic
190#2681C2212yes—
191#2671C2212yes—
192#2667C2212yes—
193#2666C2212yes—
194#2666C2212yes—
195#2665C2212yes—
196#2664C2212yes—
197#2664C2212yes—
198#2659C2211yescharacteristic
199#2659C2211yescharacteristic
200#2655C2212yes—
201#2655C2212yes—
202#2655C2212yes—
203#2655C2212yes—
204#2654C2212yes—
205#2653C2212yes—
206#2647C2212yes—
207#2647C2212yes—
208#2646C2211yescharacteristic
209#2646C2212yes—
210#2646C2212yes—
211#2646C2211yescharacteristic
212#2646C2211yescharacteristic
213#2646C2212yes—
214#2637C2212yes—
215#2634C2212yes—
216#2630C2212yes—
217#2629C2212yes—
218#2629C2212yes—
219#2627C2211yescharacteristic
220#2627C2211yescharacteristic
221#2627C2212yes—
222#2625C2212yes—
223#2618C2211yescharacteristic
224#2612C2212yes—
225#2609C2212yes—
226#2608C2212yes—
227#2606C2212yes—
228#2606C2212yes—
229#2603C2212yes—
230#2601C2212yes—
231#2598C2212yes—
232#2596C2212yes—
233#2595C2212yes—
234#2590C2212yes—
235#2587C2212yes—
236#2587C2212yes—
237#2585C2212yes—
238#2584C2212yes—
239#2584C2212yes—
240#2579C2212yes—
241#2578C2212yes—
242#2574C2212yes—
243#2569C2212yes—
244#2568C2211yescharacteristic
245#2566C2212yes—
246#2565C2212yes—
247#2565C2212yes—
248#2564C2212yes—
249#2564C2212yes—
250#2558C2212yes—
251#2558C2212yes—
252#2553C2212yes—
253#2552C2211yescharacteristic
254#2552C2211yescharacteristic
255#2538C2211yescharacteristic
256#2536C2212yes—
257#2533C2212yes—
258#2532C2212yes—
259#2531C2212yes—
260#2530C2212yes—
261#2529C2212yes—
262#2528C2212yes—
263#2524C2212yes—
264#2522C2212yes—
265#2522C2212yes—
266#2522C2212yes—
267#2520C2212yes—
268#2519C2212yes—
269#2511C2212yes—
270#2511C2212yes—
271#2510C2212yes—
272#2508C2212yes—
273#2506C2212yes—
274#2505C2212yes—
275#2505C2212yes—
276#2505C2212yes—
277#2505C2212yes—
278#2505C2212yes—
279#2498C2212yes—
280#2498C2212yes—
281#2498C2212yes—
282#2496C2212yes—
283#2493C2212yes—
284#2493C2212yes—
285#2489C2212yes—
286#2486C2212yes—
287#2486C2212yes—
288#2486C2212yes—
289#2485C2212yes—
290#2481C2212yes—
291#2479C2212yes—
292#2478C2212yes—
293#2478C2212yes—
294#2478C2212yes—
295#2475C2212yes—
296#2475C2212yes—
297#2475C2212yes—
298#2475C2212yes—
299#2473C2212yes—
300#2473C2212yes—
301#2473C2212yes—
302#2473C2212yes—
303#2473C2212yes—
304#2473C2212yes—
305#2473C2212yes—
306#2473C2212yes—
307#2470C2212yes—
308#2470C2212yes—
309#2470C2212yes—
310#2470C2212yes—
311#2469C2212yes—
312#2469C2212yes—
313#2468C2212yes—
314#2468C2212yes—
315#2467C2212yes—
316#2465C2212yes—
317#2465C2212yes—
318#2464C2212yes—
319#2462C2212yes—
320#2462C2212yes—
321#2462C2212yes—
322#2460C2212yes—
323#2460C2212yes—
324#2458C2212yes—
325#2457C2212yes—
326#2453C2212yes—
327#2450C2212yes—
328#2450C2212yes—
329#2450C2212yes—
330#2450C2212yes—
331#2450C2212yes—
332#2449C2212yes—
333#2443C2212yes—
334#2443C2212yes—
335#2442C2212yes—
336#2442C2212yes—
337#2442C2212yes—
338#2441C2212yes—
339#2438C2212yes—
340#2438C2212yes—
341#2438C2212yes—
342#2425C2212yes—
343#2425C2212yes—
344#2422C2212yes—
345#2421C2212yes—
346#2421C2212yes—
347#2420C2212yes—
348#2419C2212yes—
349#2413C2212yes—
350#2413C2212yes—
351#2396C2212yes—
352C2×#398C2212yes—
353#2382C2212yes—
354#2377C2212yes—
355#2376C2212yes—
356#2365C2211yescharacteristic
357#2361C2212yes—
358#2360C2212yes—
359#2355C2211yescharacteristic
360#2354C2212yes—
361#2353C2212yes—
362Q8×C4⋊C4C2211yescharacteristic
363#2349C2212yes—
364D4×C4⋊C4C2211yescharacteristic
365#2333C2212yes—
366#2325C2211yescharacteristic
367#2325C2211yescharacteristic
368#2325C2211yescharacteristic
369#2323C2212yes—
370#2318C2212yes—
371#2318C2212yes—
372#2316C2211yescharacteristic
373#2314C2212yes—
374C4×C22⋊Q8C2211yescharacteristic
375C4×C22⋊Q8C2211yescharacteristic
376C4×#121C2211yescharacteristic
377C2×#387C2211yescharacteristic
378#2285C2211yescharacteristic
379#552—48no—
380#552—48no—
381#539—48no—
382C2×C4⋊Q8C2311yescharacteristic
383C2×#126C2312yes—
384C2×#126C2312yes—
385C2×#126C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#125C2312yes—
391C2×#125C2312yes—
392C2×#125C2312yes—
393C2×#125C2312yes—
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2311yescharacteristic
426C2×#121C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×#117C2312yes—
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C22×C4⋊C4C2311yescharacteristic
447C22×C4⋊C4C2311yescharacteristic
448C22×C4⋊C4C2312yes—
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2312yes—
451C22×C4⋊C4C2312yes—
452C22×C42C2311yescharacteristic
453#401C2312yes—
454#401C2312yes—
455#401C2312yes—
456#400C2312yes—
457#400C2312yes—
458#400C2312yes—
459#400C2312yes—
460#400C2312yes—
461#400C2312yes—
462#400C2312yes—
463#400C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2312yes—
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#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
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#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#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
597#398C2312yes—
598#398C2312yes—
599#398C2312yes—
600#398C2312yes—
601#398C2312yes—
602#398C2312yes—
603#398C2312yes—
604#398C2312yes—
605#398C2312yes—
606#398C2312yes—
607#398C2312yes—
608#398C2312yes—
609#398C2312yes—
610#398C2312yes—
611#398C2312yes—
612#398C2312yes—
613#398C2312yes—
614#398C2312yes—
615#398C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2312yes—
623#397C2312yes—
624#397C2312yes—
625#397C2312yes—
626#397C2312yes—
627#397C2312yes—
628#397C2312yes—
629#397C2312yes—
630#397C2312yes—
631#397C2312yes—
632#397C2312yes—
633#397C2312yes—
634#397C2312yes—
635#397C2312yes—
636#397C2312yes—
637#397C2312yes—
638#397C2312yes—
639#397C2312yes—
640#397C2312yes—
641#397C2312yes—
642#397C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#396C2312yes—
651#396C2312yes—
652#396C2312yes—
653#396C2312yes—
654#396C2312yes—
655#396C2312yes—
656#396C2312yes—
657#396C2312yes—
658#396C2312yes—
659#396C2312yes—
660#396C2312yes—
661#396C2312yes—
662#396C2312yes—
663#396C2312yes—
664#396C2312yes—
665#396C2312yes—
666#396C2312yes—
667#396C2312yes—
668#395C2312yes—
669#395C2312yes—
670#395C2312yes—
671#395C2312yes—
672#395C2312yes—
673#395C2312yes—
674#395C2312yes—
675#395C2312yes—
676#395C2312yes—
677#395C2312yes—
678#395C2312yes—
679#395C2312yes—
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#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#392C2312yes—
700#392C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2311yescharacteristic
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2311yescharacteristic
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2311yescharacteristic
719#390C2311yescharacteristic
720#390C2312yes—
721#390C2311yescharacteristic
722#390C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2311yescharacteristic
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2311yescharacteristic
755#389C2311yescharacteristic
756#389C2312yes—
757#389C2312yes—
758#389C2311yescharacteristic
759#389C2311yescharacteristic
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
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#389C2311yescharacteristic
781#389C2312yes—
782#389C2312yes—
783#389C2311yescharacteristic
784#389C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
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#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
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#387C2312yes—
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#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
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#384C2311yescharacteristic
999#384C2312yes—
1000#384C2312yes—
1001#384C2312yes—
1002#384C2311yescharacteristic
1003#384C2312yes—
1004#384C2311yescharacteristic
1005#383C2312yes—
1006#383C2312yes—
1007#383C2312yes—
1008#383C2312yes—
1009#383C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2311yescharacteristic
1038#380C2312yes—
1039#380C2311yescharacteristic
1040#380C2311yescharacteristic
1041#380C2312yes—
1042#380C2312yes—
1043#380C2311yescharacteristic
1044#380C2312yes—
1045#380C2311yescharacteristic
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2311yescharacteristic
1051#380C2311yescharacteristic
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2311yescharacteristic
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2311yescharacteristic
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2311yescharacteristic
1075C4×C4⋊C4C2311yescharacteristic
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2311yescharacteristic
1079C4×C4⋊C4C2311yescharacteristic
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091#376C2312yes—
1092#376C2312yes—
1093C2×#95C2311yescharacteristic
1094C2×#95C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2311yescharacteristic
1097C2×#95C2311yescharacteristic
1098C2×#95C2311yescharacteristic
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C22×Q8C2411yescharacteristic
1102C22×Q8C2411yescharacteristic
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×D4C2412yes—
1106C22×D4C2412yes—
1107C22×D4C2412yes—
1108C22×D4C2412yes—
1109C22×D4C2411yescharacteristic
1110C22×D4C2411yescharacteristic
1111C23×C4C2412yes—
1112C23×C4C2411yescharacteristic
1113C23×C4C2412yes—
1114C23×C4C2412yes—
1115C23×C4C2412yes—
1116C23×C4C2411yescharacteristic
1117C23×C4C2411yescharacteristic
1118C23×C4C2411yescharacteristic
1119C23×C4C2411yescharacteristic
1120C23×C4C2412yes—
1121C23×C4C2412yes—
1122C23×C4C2412yes—
1123C23×C4C2412yes—
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2411yescharacteristic
1127C23×C4C2411yescharacteristic
1128C4⋊Q8—42no—
1129#126—44no—
1130#126—44no—
1131#126—44no—
1132#126—44no—
1133#126—44no—
1134#126—44no—
1135#126—82no—
1136#125—44no—
1137#125—44no—
1138#125—44no—
1139#125—44no—
1140#125—44no—
1141#125—44no—
1142#125—44no—
1143#125—44no—
1144#125—44no—
1145#125—82no—
1146#125—82no—
1147#125—82no—
1148#125—82no—
1149#123—28no—
1150#123—44no—
1151#123—44no—
1152#123—44no—
1153#123—44no—
1154#123—44no—
1155#123—44no—
1156#123—82no—
1157#123—82no—
1158#123—82no—
1159C22⋊Q8—24no—
1160C22⋊Q8—24no—
1161C22⋊Q8—44no—
1162C22⋊Q8—44no—
1163C22⋊Q8—44no—
1164C22⋊Q8—44no—
1165C22⋊Q8—44no—
1166C22⋊Q8—44no—
1167C22⋊Q8—44no—
1168C22⋊Q8—82no—
1169#121—24no—
1170#121—28no—
1171#121—42no—
1172#121—44no—
1173C4×Q8—42no—
1174C4×Q8—42no—
1175C4×Q8—44no—
1176C4×Q8—44no—
1177C4×Q8—82no—
1178C4×D4—28no—
1179C4×D4—28no—
1180C4×D4—42no—
1181C4×D4—44no—
1182C4×D4—44no—
1183C4×D4—44no—
1184C4×D4—82no—
1185C4×D4—82no—
1186#117—28no—
1187#117—44no—
1188#117—44no—
1189#117—44no—
1190#117—44no—
1191#117—82no—
1192C2×C4⋊C4—24no—
1193C2×C4⋊C4—42no—
1194C2×C4⋊C4—44no—
1195C2×C4⋊C4—44no—
1196C2×C4⋊C4—82no—
1197C2×C4⋊C4—82no—
1198C2×C4⋊C4C2411yescharacteristic
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2411yescharacteristic
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2411yescharacteristic
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2411yescharacteristic
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2411yescharacteristic
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2411yescharacteristic
1245C2×C4⋊C4C2411yescharacteristic
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2411yescharacteristic
1284C2×C4⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2411yescharacteristic
1286C2×C4⋊C4C2411yescharacteristic
1287C2×C4⋊C4C2411yescharacteristic
1288C2×C4⋊C4C2411yescharacteristic
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2411yescharacteristic
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2411yescharacteristic
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
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×C42—42no—
1369C2×C42C2412yes—
1370C2×C42C2412yes—
1371C2×C42C2412yes—
1372C2×C42C2412yes—
1373C2×C42C2411yescharacteristic
1374C2×C42C2412yes—
1375C2×C42C2411yescharacteristic
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2411yescharacteristic
1393C2×C42C2412yes—
1394C2×C42C2411yescharacteristic
1395#95C2412yes—
1396#95C2412yes—
1397#95C2412yes—
1398#95C2412yes—
1399#95C2412yes—
1400#95C2412yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2412yes—
1404#95C2412yes—
1405#95C2412yes—
1406#95C2412yes—
1407#95C2412yes—
1408#95C2412yes—
1409#95C2412yes—
1410#95C2412yes—
1411#95C2412yes—
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
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—
1515C24C2512yes—
1516C24C2511yescharacteristic
1517C24C2512yes—
1518C2×Q8—22no—
1519C2×Q8—22no—
1520C2×Q8—24no—
1521C2×Q8—41no—
1522C2×Q8—41no—
1523C2×Q8—42no—
1524C2×Q8—41no—
1525C2×Q8—42no—
1526C2×Q8—41no—
1527C2×Q8—42no—
1528C2×Q8—42no—
1529C2×Q8—42no—
1530C2×D4—24no—
1531C2×D4—24no—
1532C2×D4—24no—
1533C2×D4—24no—
1534C2×D4—24no—
1535C2×D4—41no—
1536C2×D4—42no—
1537C2×D4—41no—
1538C2×D4—42no—
1539C2×D4—42no—
1540C2×D4—42no—
1541C2×D4—42no—
1542C2×D4—42no—
1543C2×D4—42no—
1544C2×D4—41no—
1545C2×D4—41no—
1546C2×D4—41no—
1547C2×D42−1+414yes—
1548C22×C4—22no—
1549C22×C4—22no—
1550C22×C4—24no—
1551C22×C4—24no—
1552C22×C4—24no—
1553C22×C4—24no—
1554C22×C4—22no—
1555C22×C4—22no—
1556C22×C4—41no—
1557C22×C4—41no—
1558C22×C4—41no—
1559C22×C4—41no—
1560C22×C4—41no—
1561C22×C4—42no—
1562C22×C4—42no—
1563C22×C4—42no—
1564C22×C4—42no—
1565C22×C4—42no—
1566C22×C4—42no—
1567C22×C4—42no—
1568C22×C4—42no—
1569C22×C4—42no—
1570C22×C4—42no—
1571C22×C4—42no—
1572C22×C4—42no—
1573C22×C4—42no—
1574C22×C4—41no—
1575C22×C4—41no—
1576C22×C4—41no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—42no—
1580C22×C4—42no—
1581C22×C4—42no—
1582C22×C4—42no—
1583C22×C4—42no—
1584C22×C4—41no—
1585C22×C4—41no—
1586C22×C4—42no—
1587C22×C4—41no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—41no—
1592C22×C4—41no—
1593C22×C4—42no—
1594C22×C4—41no—
1595C22×C4—41no—
1596C22×C4—42no—
1597C22×C4—41no—
1598C22×C4H(5,𝔽2)14yes—
1599C22×C4C2512yes—
1600C22×C4C2512yes—
1601C22×C4C2511yescharacteristic
1602C22×C4C2512yes—
1603C22×C4C2512yes—
1604C22×C4C2512yes—
1605C22×C4C2512yes—
1606C22×C4C2512yes—
1607C22×C4C2511yescharacteristic
1608C22×C4C2512yes—
1609C22×C4C2512yes—
1610C22×C4C2512yes—
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2512yes—
1620C22×C4C2512yes—
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2511yescharacteristic
1628C22×C4C2511yescharacteristic
1629C22×C4C2511yescharacteristic
1630C22×C4C2511yescharacteristic
1631C4⋊C4—24no—
1632C4⋊C4—24no—
1633C4⋊C4—22no—
1634C4⋊C4—24no—
1635C4⋊C4—24no—
1636C4⋊C4—24no—
1637C4⋊C4—24no—
1638C4⋊C4—24no—
1639C4⋊C4—24no—
1640C4⋊C4—24no—
1641C4⋊C4—22no—
1642C4⋊C4—24no—
1643C4⋊C4—22no—
1644C4⋊C4—24no—
1645C4⋊C4—24no—
1646C4⋊C4—24no—
1647C4⋊C4—42no—
1648C4⋊C4—42no—
1649C4⋊C4—42no—
1650C4⋊C4—42no—
1651C4⋊C4—42no—
1652C4⋊C4—42no—
1653C4⋊C4—42no—
1654C4⋊C4—42no—
1655C4⋊C4—42no—
1656C4⋊C4—42no—
1657C4⋊C4—42no—
1658C4⋊C4—42no—
1659C4⋊C4—42no—
1660C4⋊C4—42no—
1661C4⋊C4—41no—
1662C4⋊C4—42no—
1663C4⋊C4—41no—
1664C4⋊C4—41no—
1665C4⋊C4—41no—
1666C4⋊C4—41no—
1667C4⋊C4—42no—
1668C4⋊C4—42no—
1669C4⋊C4—42no—
1670C4⋊C4—41no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—41no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—41no—
1682C4⋊C4—42no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—41no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—41no—
1702C4⋊C4—41no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—41no—
1708C4⋊C4—42no—
1709C4⋊C4—41no—
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—42no—
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—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—41no—
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—41no—
1746C4⋊C4—41no—
1747C22⋊C4—24no—
1748C22⋊C4—24no—
1749C22⋊C4—24no—
1750C22⋊C4—24no—
1751C22⋊C4—24no—
1752C22⋊C4—24no—
1753C22⋊C4—24no—
1754C22⋊C4—24no—
1755C22⋊C4—24no—
1756C22⋊C4—24no—
1757C22⋊C4—24no—
1758C22⋊C4—24no—
1759C22⋊C4—24no—
1760C22⋊C4—24no—
1761C22⋊C4—24no—
1762C22⋊C4—24no—
1763C22⋊C4—42no—
1764C22⋊C4—42no—
1765C22⋊C4—42no—
1766C22⋊C4—42no—
1767C22⋊C4—42no—
1768C22⋊C4—42no—
1769C22⋊C4—42no—
1770C22⋊C4—42no—
1771C22⋊C4—42no—
1772C22⋊C4—42no—
1773C22⋊C4—42no—
1774C22⋊C4—42no—
1775C22⋊C4—42no—
1776C22⋊C4—42no—
1777C22⋊C4—42no—
1778C22⋊C4—42no—
1779C22⋊C4—42no—
1780C22⋊C4—42no—
1781C22⋊C4—42no—
1782C22⋊C4—42no—
1783C22⋊C4—42no—
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—
1801C42—24no—
1802C42—24no—
1803C42—24no—
1804C42—24no—
1805C42—22no—
1806C42—22no—
1807C42—24no—
1808C42—41no—
1809C42—41no—
1810C42—42no—
1811C42—42no—
1812C42—42no—
1813C42—42no—
1814C42—42no—
1815C42—42no—
1816C42—42no—
1817C42—42no—
1818C42—42no—
1819C42—42no—
1820C42—42no—
1821C42—42no—
1822C42—42no—
1823C42—42no—
1824C42—42no—
1825C42—42no—
1826C42—42no—
1827C23—22no—
1828C23—21no—
1829C23—22no—
1830C23—21no—
1831C23—21no—
1832C23—22no—
1833C23—22no—
1834C23—22no—
1835C23—21no—
1836C23—21no—
1837C23—22no—
1838C23—21no—
1839C23—22no—
1840C23—22no—
1841C23—22no—
1842C23—22no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23C2×H(5,𝔽2)12yes—
1847C23C2×2−1+414yes—
1848C23C2611yescharacteristic
1849Q8—44no—
1850Q8—84no—
1851Q8—82no—
1852Q8—84no—
1853D4—44no—
1854D4—48no—
1855D4—84no—
1856D4—84no—
1857D4—84no—
1858D4—161no—
1859C2×C4—21no—
1860C2×C4—21no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—21no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—21no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—21no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—21no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—21no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—21no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—21no—
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—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—44no—
1952C2×C4—44no—
1953C2×C4—82no—
1954C2×C4—84no—
1955C2×C4—82no—
1956C2×C4—82no—
1957C2×C4—84no—
1958C2×C4—84no—
1959C2×C4—84no—
1960C2×C4—84no—
1961C2×C4—84no—
1962C2×C4—84no—
1963C2×C4—84no—
1964C2×C4—161no—
1965C2×C4—161no—
1966C2×C4—162no—
1967C2×C4—162no—
1968C2×C4C2×H(5,𝔽2)12yes—
1969C2×C4C2×H(5,𝔽2)12yes—
1970C2×C4C2×2−1+412yes—
1971C2×C4#58512yes—
1972C22—24no—
1973C22—22no—
1974C22—22no—
1975C22—24no—
1976C22—24no—
1977C22—22no—
1978C22—42no—
1979C22—41no—
1980C22—41no—
1981C22—41no—
1982C22—42no—
1983C22—42no—
1984C22—42no—
1985C22—41no—
1986C22—42no—
1987C22—42no—
1988C22—42no—
1989C22—42no—
1990C22—42no—
1991C22—42no—
1992C22—42no—
1993C22C22×H(5,𝔽2)11yescharacteristic
1994C22C22×2−1+411yescharacteristic
1995C22C2×#58511yescharacteristic
1996C22H(7,𝔽2)11yescharacteristic
1997C222−1+611yescharacteristic
1998C222−1+611yescharacteristic
1999C222−1+611yescharacteristic
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—42no—
2005C4—42no—
2006C4—42no—
2007C4—42no—
2008C4—42no—
2009C4—42no—
2010C4—42no—
2011C4—41no—
2012C4—42no—
2013C4—42no—
2014C4—42no—
2015C4—42no—
2016C4—42no—
2017C4—42no—
2018C4—42no—
2019C4—42no—
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—41no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C2—44no—
2033C2—42no—
2034C2—82no—
2035C2#6286911yescharacteristic
2036C2#6288811yescharacteristic
2037C2#6290111yescharacteristic
2038C2#6290411yescharacteristic
2039C2#6294411yescharacteristic
2040C2#6297711yescharacteristic
2041C2#6306711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39453C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59258C2semidirect
2. #58908C2semidirect
3. #58782C2semidirect
4. #58311C2semidirect
5. #58081C2semidirect
6. #58050C2semidirect
7. #57854C2semidirect
8. #57651C2semidirect
9. #57631C2semidirect
10. #57432C2semidirect
11. #56825C2semidirect
12. #56488C2semidirect
13. #55810C2semidirect
14. #52428C2semidirect
15. #51773C2semidirect
16. #51660C2semidirect
17. #51053C2semidirect
18. #50511C2semidirect
19. #50058C2semidirect
20. #49297C2semidirect
21. #48852C2semidirect
22. #48788C2semidirect
23. #47070C2semidirect
24. #46496C2semidirect
25. #45802C2semidirect
26. #43196C2semidirect
27. #42176C2semidirect
28. #42126C2semidirect
29. #41373C2semidirect
30. #40635C2semidirect
31. #39627C2semidirect
32. #39478C2semidirect
34. #37867C2semidirect
35. #37466C2semidirect

Maximal subgroups

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

subgroupindex
#592582
#589082
#587822
#583112
#580812
#580502
#578542
#576512
#576312
#574322
#568252
#564882
#558102
#524282
#517732
#516602
#510532
#505112
#500582
#492972
#488522
#487882
#470702
#464962
#458022
#431962
#421762
#421262
#413732
#406352
#396272
#394782
#394532
#378672
#374662