Finite Group Databasebeta

← #10069079

Subgroups — #10069079

Order 512.

4027 conjugacy classes of subgroups.

The subgroup lattice has 2029 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59450C211yesmaximal, characteristic, complemented
2#57710C212yesmaximal, complemented
3#57320C212yesmaximal, complemented
4#56696C212yesmaximal, complemented
5#55894C212yesmaximal, complemented
6#55639C212yesmaximal, complemented
7#55133C212yesmaximal, complemented
8#55076C212yesmaximal, complemented
9#54540C212yesmaximal, complemented
10#52918C212yesmaximal, complemented
11#52620C212yesmaximal, complemented
12#50980C212yesmaximal, complemented
13#50968C212yesmaximal, complemented
14#48613C212yesmaximal, complemented
15#48097C212yesmaximal, complemented
16#47143C212yesmaximal, complemented
17#46930C212yesmaximal, complemented
18#46685C212yesmaximal, complemented
19#46445C212yesmaximal, complemented
20#46160C211yesmaximal, characteristic, complemented
21#46024C211yesmaximal, characteristic, complemented
22#44642C212yesmaximal, complemented
23#44249C212yesmaximal, complemented
24#43691C212yesmaximal, complemented
25#43570C212yesmaximal, complemented
26#43403C212yesmaximal, complemented
27#43348C212yesmaximal, complemented
28#42159C212yesmaximal, complemented
29#41091C212yesmaximal, complemented
30#40869C212yesmaximal, complemented
31#40827C212yesmaximal, complemented
32#38965C211yesmaximal, characteristic, complemented
33#38810C211yesmaximal, characteristic, complemented
34#38770C211yesmaximal, characteristic, complemented
35#37256C211yesmaximal, characteristic, complemented
36#2864C2211yescharacteristic
37#2861C2211yescharacteristic
38#2859C2211yescharacteristic
39#2841C2212yes—
40#2839C2212yes—
41#2839C2212yes—
42#2838C2212yes—
43#2837C2212yes—
44#2837C2212yes—
45#2837C2212yes—
46#2836C2212yes—
47#2836C2212yes—
48#2834C2212yes—
49#2829C2212yes—
50#2827C2212yes—
51#2825C2212yes—
52#2824C2212yes—
53#2822C2211yescharacteristic
54#2822C2211yescharacteristic
55#2821C2212yes—
56#2820C2211yescharacteristic
57#2819C2211yescharacteristic
58#2814C2212yes—
59#2810C2212yes—
60#2809C2211yescharacteristic
61#2807C2212yes—
62#2805C2211yescharacteristic
63#2805C2211yescharacteristic
64#2803C2212yes—
65#2802C2212yes—
66#2802C2212yes—
67#2798C2212yes—
68#2798C2212yes—
69#2798C2212yes—
70#2797C2212yes—
71#2795C2212yes—
72#2795C2212yes—
73#2794C2212yes—
74#2794C2212yes—
75#2793C2212yes—
76#2791C2212yes—
77#2791C2212yes—
78#2791C2212yes—
79#2791C2212yes—
80#2790C2212yes—
81#2790C2212yes—
82#2790C2212yes—
83#2789C2212yes—
84#2788C2212yes—
85#2788C2212yes—
86#2787C2212yes—
87#2783C2212yes—
88#2783C2212yes—
89#2782C2212yes—
90#2782C2212yes—
91#2780C2212yes—
92#2780C2212yes—
93#2780C2212yes—
94#2780C2212yes—
95#2780C2212yes—
96#2777C2212yes—
97#2777C2212yes—
98#2776C2212yes—
99#2776C2212yes—
100#2776C2212yes—
101#2774C2212yes—
102#2774C2212yes—
103#2773C2212yes—
104#2773C2212yes—
105#2772C2212yes—
106#2771C2212yes—
107#2771C2212yes—
108#2769C2212yes—
109#2768C2212yes—
110#2768C2212yes—
111#2767C2212yes—
112#2766C2212yes—
113#2766C2212yes—
114#2766C2212yes—
115#2765C2212yes—
116#2765C2212yes—
117#2765C2212yes—
118#2765C2212yes—
119#2765C2212yes—
120#2763C2212yes—
121#2762C2212yes—
122#2761C2212yes—
123#2761C2212yes—
124#2758C2212yes—
125#2756C2212yes—
126#2756C2212yes—
127#2754C2212yes—
128#2750C2212yes—
129#2749C2212yes—
130#2748C2212yes—
131#2747C2212yes—
132#2745C2212yes—
133#2745C2212yes—
134#2744C2212yes—
135#2742C2212yes—
136#2740C2212yes—
137#2740C2212yes—
138#2740C2212yes—
139#2739C2212yes—
140#2738C2212yes—
141#2738C2212yes—
142#2738C2212yes—
143#2734C2211yescharacteristic
144#2732C2212yes—
145#2732C2211yescharacteristic
146#2732C2212yes—
147#2732C2211yescharacteristic
148#2730C2212yes—
149#2727C2211yescharacteristic
150#2727C2211yescharacteristic
151#2726C2212yes—
152#2725C2212yes—
153#2724C2211yescharacteristic
154#2724C2211yescharacteristic
155#2721C2212yes—
156#2720C2212yes—
157#2720C2212yes—
158#2720C2212yes—
159#2719C2212yes—
160#2718C2212yes—
161#2718C2212yes—
162#2716C2212yes—
163#2714C2212yes—
164#2713C2212yes—
165#2705C2212yes—
166#2705C2212yes—
167#2704C2212yes—
168#2704C2212yes—
169#2703C2212yes—
170#2699C2212yes—
171#2698C2212yes—
172#2695C2212yes—
173#2694C2212yes—
174#2693C2212yes—
175#2693C2212yes—
176#2692C2212yes—
177#2690C2212yes—
178#2689C2212yes—
179#2682C2211yescharacteristic
180#2682C2211yescharacteristic
181#2681C2212yes—
182#2674C2212yes—
183#2667C2212yes—
184#2666C2212yes—
185#2655C2212yes—
186#2655C2212yes—
187#2655C2212yes—
188#2654C2212yes—
189#2654C2212yes—
190#2652C2212yes—
191#2652C2212yes—
192#2651C2212yes—
193#2650C2212yes—
194#2649C2212yes—
195#2643C2212yes—
196#2638C2212yes—
197#2638C2212yes—
198#2637C2212yes—
199#2637C2212yes—
200#2630C2212yes—
201#2629C2212yes—
202#2623C2212yes—
203#2609C2212yes—
204#2609C2212yes—
205#2608C2212yes—
206#2606C2212yes—
207#2602C2212yes—
208#2600C2212yes—
209#2598C2212yes—
210#2598C2212yes—
211#2597C2212yes—
212#2596C2212yes—
213#2596C2212yes—
214#2594C2212yes—
215#2594C2212yes—
216#2594C2212yes—
217#2590C2212yes—
218#2590C2212yes—
219#2589C2212yes—
220#2588C2212yes—
221#2587C2212yes—
222#2587C2212yes—
223#2585C2212yes—
224#2585C2212yes—
225#2584C2212yes—
226#2579C2212yes—
227#2576C2212yes—
228#2576C2212yes—
229#2576C2212yes—
230#2575C2212yes—
231#2575C2212yes—
232#2575C2212yes—
233#2575C2212yes—
234#2573C2212yes—
235#2573C2212yes—
236#2571C2212yes—
237#2570C2212yes—
238#2569C2212yes—
239#2568C2211yescharacteristic
240#2566C2212yes—
241#2564C2212yes—
242#2564C2212yes—
243#2558C2212yes—
244#2556C2212yes—
245#2556C2212yes—
246#2554C2212yes—
247#2553C2212yes—
248#2552C2211yescharacteristic
249#2552C2211yescharacteristic
250#2543C2212yes—
251#2542C2211yescharacteristic
252#2538C2212yes—
253#2533C2212yes—
254#2533C2212yes—
255#2532C2212yes—
256#2528C2212yes—
257#2524C2212yes—
258#2524C2212yes—
259#2522C2212yes—
260#2522C2212yes—
261#2519C2212yes—
262#2518C2212yes—
263#2518C2212yes—
264#2516C2212yes—
265#2515C2212yes—
266#2511C2212yes—
267#2510C2212yes—
268#2508C2212yes—
269#2508C2212yes—
270#2507C2212yes—
271#2505C2212yes—
272#2505C2212yes—
273#2503C2212yes—
274#2498C2212yes—
275#2496C2212yes—
276#2493C2212yes—
277#2493C2212yes—
278#2489C2212yes—
279#2488C2212yes—
280#2488C2212yes—
281#2487C2212yes—
282#2481C2212yes—
283#2481C2212yes—
284#2481C2212yes—
285#2479C2212yes—
286#2479C2212yes—
287#2479C2212yes—
288#2478C2212yes—
289#2475C2212yes—
290#2473C2212yes—
291#2473C2212yes—
292#2471C2212yes—
293#2469C2212yes—
294#2468C2212yes—
295#2466C2212yes—
296#2466C2212yes—
297#2466C2212yes—
298#2463C2212yes—
299#2463C2212yes—
300#2462C2212yes—
301#2461C2212yes—
302#2460C2212yes—
303#2460C2212yes—
304#2460C2212yes—
305#2460C2212yes—
306#2458C2212yes—
307#2457C2212yes—
308#2457C2212yes—
309#2457C2212yes—
310#2457C2212yes—
311#2455C2212yes—
312#2455C2212yes—
313#2454C2212yes—
314#2452C2212yes—
315#2451C2212yes—
316#2450C2212yes—
317#2450C2212yes—
318#2450C2212yes—
319#2449C2212yes—
320#2449C2212yes—
321#2447C2212yes—
322#2444C2212yes—
323#2444C2212yes—
324#2443C2212yes—
325#2443C2212yes—
326#2441C2212yes—
327#2441C2212yes—
328#2440C2212yes—
329#2438C2212yes—
330#2438C2212yes—
331#2438C2212yes—
332#2429C2212yes—
333#2423C2212yes—
334#2421C2212yes—
335#2420C2212yes—
336#2419C2212yes—
337#2413C2212yes—
338#2413C2212yes—
339#2397C2212yes—
340#2396C2212yes—
341#2395C2212yes—
342C2×#400C2212yes—
343#2382C2211yescharacteristic
344#2382C2211yescharacteristic
345#2382C2211yescharacteristic
346#2379C2211yescharacteristic
347#2368C2212yes—
348#2364C2212yes—
349#2363C2212yes—
350#2362C2212yes—
351#2360C2212yes—
352#2360C2212yes—
353#2359C2212yes—
354#2359C2212yes—
355#2357C2212yes—
356#2355C2211yescharacteristic
357#2354C2211yescharacteristic
358D4×C4⋊C4C2211yescharacteristic
359D4×C4⋊C4C2211yescharacteristic
360D4×C4⋊C4C2212yes—
361#2344C2212yes—
362#2343C2212yes—
363#2336C2212yes—
364#2334C2212yes—
365#2334C2212yes—
366#2333C2212yes—
367#2333C2212yes—
368#2329C2212yes—
369#2325C2212yes—
370#2324C2212yes—
371#2322C2212yes—
372#2322C2212yes—
373#2318C2212yes—
374#2316C2212yes—
375C4×C4⋊Q8C2211yescharacteristic
376C4×#125C2211yescharacteristic
377C4×#124C2211yescharacteristic
378#2293C2211yescharacteristic
379C2×C4⋊Q8C2311yescharacteristic
380C2×C4⋊Q8C2312yes—
381C2×#126C2312yes—
382C2×#126C2312yes—
383C2×#126C2312yes—
384C2×#126C2312yes—
385C2×#126C2312yes—
386C2×#125C2311yescharacteristic
387C2×#125C2311yescharacteristic
388C2×#125C2311yescharacteristic
389C2×#125C2311yescharacteristic
390C2×#125C2312yes—
391C2×#125C2312yes—
392C2×#125C2312yes—
393C2×#125C2312yes—
394C2×#124C2311yescharacteristic
395C2×#124C2311yescharacteristic
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×C4×Q8C2311yescharacteristic
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2312yes—
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2312yes—
438C22×C4⋊C4C2312yes—
439#401C2312yes—
440#401C2312yes—
441#401C2312yes—
442#401C2312yes—
443#401C2312yes—
444#400C2312yes—
445#400C2312yes—
446#400C2312yes—
447#400C2312yes—
448#400C2312yes—
449#400C2312yes—
450#400C2312yes—
451#400C2312yes—
452#400C2312yes—
453#400C2312yes—
454#400C2312yes—
455#400C2312yes—
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#399C2312yes—
497#399C2312yes—
498#399C2312yes—
499#399C2312yes—
500#399C2312yes—
501#399C2312yes—
502#399C2312yes—
503#399C2312yes—
504#399C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#398C2312yes—
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
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#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
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#393C2312yes—
662#393C2312yes—
663#393C2312yes—
664#393C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#392C2312yes—
669#392C2312yes—
670#392C2312yes—
671#392C2312yes—
672#392C2312yes—
673#392C2312yes—
674#392C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2311yescharacteristic
681#391C2312yes—
682#391C2311yescharacteristic
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2311yescharacteristic
689#390C2312yes—
690#390C2312yes—
691#390C2312yes—
692#390C2311yescharacteristic
693#390C2312yes—
694#390C2311yescharacteristic
695#390C2312yes—
696#390C2312yes—
697#390C2311yescharacteristic
698#390C2311yescharacteristic
699#390C2311yescharacteristic
700#390C2312yes—
701#390C2312yes—
702#390C2312yes—
703#389C2311yescharacteristic
704#389C2311yescharacteristic
705#389C2312yes—
706#389C2311yescharacteristic
707#389C2311yescharacteristic
708#389C2312yes—
709#389C2312yes—
710#389C2312yes—
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2311yescharacteristic
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2311yescharacteristic
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2311yescharacteristic
750#389C2312yes—
751#389C2312yes—
752#389C2311yescharacteristic
753#389C2311yescharacteristic
754#389C2312yes—
755#389C2312yes—
756#389C2311yescharacteristic
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
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#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
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#386C2312yes—
920#386C2312yes—
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#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#384C2311yescharacteristic
996#384C2312yes—
997#384C2312yes—
998#384C2311yescharacteristic
999#384C2311yescharacteristic
1000#384C2312yes—
1001#384C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#383C2312yes—
1005#383C2312yes—
1006#383C2312yes—
1007#383C2312yes—
1008#382C2311yescharacteristic
1009#382C2311yescharacteristic
1010#382C2311yescharacteristic
1011#382C2312yes—
1012#382C2311yescharacteristic
1013#382C2311yescharacteristic
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2311yescharacteristic
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053C4×C4⋊C4C2311yescharacteristic
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2311yescharacteristic
1057C4×C4⋊C4C2311yescharacteristic
1058C4×C4⋊C4C2311yescharacteristic
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
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—
1092C2×#95C2312yes—
1093C2×#95C2312yes—
1094C2×#95C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2312yes—
1097C43C2311yescharacteristic
1098C22×Q8C2412yes—
1099C22×Q8C2411yescharacteristic
1100C22×Q8C2412yes—
1101C22×Q8C2411yescharacteristic
1102C22×D4C2411yescharacteristic
1103C22×D4C2412yes—
1104C22×D4C2412yes—
1105C22×D4C2412yes—
1106C22×D4C2412yes—
1107C22×D4C2412yes—
1108C22×D4C2412yes—
1109C22×D4C2411yescharacteristic
1110C22×D4C2411yescharacteristic
1111C23×C4C2412yes—
1112C23×C4C2412yes—
1113C23×C4C2412yes—
1114C23×C4C2412yes—
1115C23×C4C2412yes—
1116C23×C4C2412yes—
1117C23×C4C2412yes—
1118C23×C4C2412yes—
1119C23×C4C2412yes—
1120C23×C4C2412yes—
1121C23×C4C2412yes—
1122C23×C4C2412yes—
1123C23×C4C2412yes—
1124C4⋊Q8—42no—
1125C4⋊Q8—82no—
1126#126—44no—
1127#126—44no—
1128#126—82no—
1129#126—82no—
1130#126—82no—
1131#125—42no—
1132#125—42no—
1133#125—42no—
1134#125—42no—
1135#125—44no—
1136#125—82no—
1137#125—82no—
1138#125—82no—
1139#124—42no—
1140#124—42no—
1141#123—44no—
1142#123—44no—
1143#123—44no—
1144#123—44no—
1145#123—82no—
1146#123—82no—
1147#123—82no—
1148C22⋊Q8—44no—
1149C22⋊Q8—44no—
1150C22⋊Q8—44no—
1151C22⋊Q8—44no—
1152C22⋊Q8—44no—
1153C22⋊Q8—82no—
1154C22⋊Q8—82no—
1155C22⋊Q8—82no—
1156C22⋊Q8—82no—
1157#121—28no—
1158#121—28no—
1159#121—82no—
1160C4×Q8—42no—
1161C4×Q8—82no—
1162C4×Q8—82no—
1163C4×D4—24no—
1164C4×D4—44no—
1165C4×D4—42no—
1166C4×D4—44no—
1167C4×D4—44no—
1168C4×D4—82no—
1169C4×D4—82no—
1170C4×D4—82no—
1171C4×D4—82no—
1172C4×D4—82no—
1173C4×D4—82no—
1174C4×D4—82no—
1175#117—44no—
1176#117—82no—
1177#117—82no—
1178#117—82no—
1179#117—82no—
1180C2×C4⋊C4—44no—
1181C2×C4⋊C4—44no—
1182C2×C4⋊C4—82no—
1183C2×C4⋊C4—82no—
1184C2×C4⋊C4C2411yescharacteristic
1185C2×C4⋊C4C2412yes—
1186C2×C4⋊C4C2412yes—
1187C2×C4⋊C4C2412yes—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2412yes—
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2411yescharacteristic
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2412yes—
1194C2×C4⋊C4C2411yescharacteristic
1195C2×C4⋊C4C2412yes—
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2411yescharacteristic
1198C2×C4⋊C4C2411yescharacteristic
1199C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2411yescharacteristic
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2411yescharacteristic
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2411yescharacteristic
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2411yescharacteristic
1256C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1270C2×C4⋊C4C2411yescharacteristic
1271C2×C4⋊C4C2411yescharacteristic
1272C2×C4⋊C4C2411yescharacteristic
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2411yescharacteristic
1275C2×C4⋊C4C2411yescharacteristic
1276C2×C4⋊C4C2411yescharacteristic
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2411yescharacteristic
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2411yescharacteristic
1288C2×C4⋊C4C2412yes—
1289C2×C22⋊C4C2412yes—
1290C2×C22⋊C4C2412yes—
1291C2×C22⋊C4C2412yes—
1292C2×C22⋊C4C2412yes—
1293C2×C22⋊C4C2412yes—
1294C2×C22⋊C4C2412yes—
1295C2×C22⋊C4C2412yes—
1296C2×C22⋊C4C2412yes—
1297C2×C22⋊C4C2412yes—
1298C2×C22⋊C4C2412yes—
1299C2×C22⋊C4C2412yes—
1300C2×C22⋊C4C2412yes—
1301C2×C22⋊C4C2412yes—
1302C2×C22⋊C4C2412yes—
1303C2×C22⋊C4C2412yes—
1304C2×C22⋊C4C2412yes—
1305C2×C22⋊C4C2412yes—
1306C2×C22⋊C4C2412yes—
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C22⋊C4C2412yes—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊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×C42C2412yes—
1355C2×C42C2411yescharacteristic
1356C2×C42C2411yescharacteristic
1357C2×C42C2411yescharacteristic
1358C2×C42C2411yescharacteristic
1359C2×C42C2411yescharacteristic
1360C2×C42C2412yes—
1361C2×C42C2412yes—
1362C2×C42C2412yes—
1363C2×C42C2412yes—
1364C2×C42C2412yes—
1365C2×C42C2412yes—
1366C2×C42C2412yes—
1367C2×C42C2412yes—
1368C2×C42C2412yes—
1369C2×C42C2412yes—
1370C2×C42C2412yes—
1371C2×C42C2411yescharacteristic
1372C2×C42C2412yes—
1373C2×C42C2412yes—
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2411yescharacteristic
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384#95C2412yes—
1385#95C2412yes—
1386#95C2412yes—
1387#95C2412yes—
1388#95C2412yes—
1389#95C2412yes—
1390#95C2412yes—
1391#95C2412yes—
1392#95C2412yes—
1393#95C2412yes—
1394#95C2412yes—
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—
1501C24C2512yes—
1502C24C2512yes—
1503C24C2512yes—
1504C2×Q8—24no—
1505C2×Q8—22no—
1506C2×Q8—41no—
1507C2×Q8—42no—
1508C2×Q8—42no—
1509C2×Q8—42no—
1510C2×Q8—42no—
1511C2×Q8—42no—
1512C2×Q8—41no—
1513C2×Q8—41no—
1514C2×Q8—41no—
1515C2×Q8—41no—
1516C2×D4—24no—
1517C2×D4—24no—
1518C2×D4—24no—
1519C2×D4—24no—
1520C2×D4—22no—
1521C2×D4—41no—
1522C2×D4—42no—
1523C2×D4—41no—
1524C2×D4—42no—
1525C2×D4—41no—
1526C2×D4—41no—
1527C2×D4—42no—
1528C2×D4—42no—
1529C2×D4—42no—
1530C2×D4—42no—
1531C2×D4—42no—
1532C2×D4—42no—
1533C2×D4—42no—
1534C2×D4—42no—
1535C2×D4—42no—
1536C2×D4—42no—
1537C2×D4—42no—
1538C2×D4—42no—
1539C2×D4—41no—
1540C2×D4—41no—
1541C2×D4—41no—
1542C2×D42−1+414yes—
1543C22×C4—24no—
1544C22×C4—24no—
1545C22×C4—24no—
1546C22×C4—24no—
1547C22×C4—24no—
1548C22×C4—42no—
1549C22×C4—42no—
1550C22×C4—42no—
1551C22×C4—42no—
1552C22×C4—42no—
1553C22×C4—42no—
1554C22×C4—42no—
1555C22×C4—42no—
1556C22×C4—42no—
1557C22×C4—42no—
1558C22×C4—42no—
1559C22×C4—42no—
1560C22×C4—42no—
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—42no—
1575C22×C4—42no—
1576C22×C4—42no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—42no—
1580C22×C4—42no—
1581C22×C4—42no—
1582C22×C4C2512yes—
1583C22×C4C2512yes—
1584C22×C4C2512yes—
1585C22×C4C2512yes—
1586C22×C4C2512yes—
1587C22×C4C2512yes—
1588C22×C4C2512yes—
1589C22×C4C2511yescharacteristic
1590C22×C4C2512yes—
1591C22×C4C2512yes—
1592C22×C4C2512yes—
1593C22×C4C2512yes—
1594C22×C4C2512yes—
1595C22×C4C2512yes—
1596C22×C4C2512yes—
1597C22×C4C2512yes—
1598C22×C4C2512yes—
1599C22×C4C2512yes—
1600C22×C4C2512yes—
1601C22×C4C2511yescharacteristic
1602C22×C4C2512yes—
1603C22×C4C2512yes—
1604C22×C4C2512yes—
1605C22×C4C2512yes—
1606C22×C4C2511yescharacteristic
1607C22×C4C2512yes—
1608C22×C4C2512yes—
1609C22×C4C2512yes—
1610C22×C4C2511yescharacteristic
1611C22×C4C2511yescharacteristic
1612C22×C4C2511yescharacteristic
1613C22×C4C2511yescharacteristic
1614C4⋊C4—22no—
1615C4⋊C4—24no—
1616C4⋊C4—24no—
1617C4⋊C4—22no—
1618C4⋊C4—24no—
1619C4⋊C4—24no—
1620C4⋊C4—24no—
1621C4⋊C4—24no—
1622C4⋊C4—24no—
1623C4⋊C4—24no—
1624C4⋊C4—24no—
1625C4⋊C4—22no—
1626C4⋊C4—24no—
1627C4⋊C4—22no—
1628C4⋊C4—22no—
1629C4⋊C4—42no—
1630C4⋊C4—42no—
1631C4⋊C4—42no—
1632C4⋊C4—42no—
1633C4⋊C4—41no—
1634C4⋊C4—42no—
1635C4⋊C4—42no—
1636C4⋊C4—42no—
1637C4⋊C4—42no—
1638C4⋊C4—42no—
1639C4⋊C4—42no—
1640C4⋊C4—41no—
1641C4⋊C4—42no—
1642C4⋊C4—42no—
1643C4⋊C4—42no—
1644C4⋊C4—41no—
1645C4⋊C4—41no—
1646C4⋊C4—42no—
1647C4⋊C4—42no—
1648C4⋊C4—42no—
1649C4⋊C4—42no—
1650C4⋊C4—41no—
1651C4⋊C4—42no—
1652C4⋊C4—42no—
1653C4⋊C4—42no—
1654C4⋊C4—42no—
1655C4⋊C4—42no—
1656C4⋊C4—42no—
1657C4⋊C4—42no—
1658C4⋊C4—41no—
1659C4⋊C4—42no—
1660C4⋊C4—42no—
1661C4⋊C4—42no—
1662C4⋊C4—42no—
1663C4⋊C4—42no—
1664C4⋊C4—42no—
1665C4⋊C4—42no—
1666C4⋊C4—41no—
1667C4⋊C4—42no—
1668C4⋊C4—42no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
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—41no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—41no—
1696C4⋊C4—41no—
1697C4⋊C4—41no—
1698C4⋊C4—42no—
1699C4⋊C4—41no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—41no—
1704C4⋊C4—41no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—41no—
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—41no—
1718C4⋊C4—42no—
1719C22⋊C4—24no—
1720C22⋊C4—24no—
1721C22⋊C4—24no—
1722C22⋊C4—24no—
1723C22⋊C4—24no—
1724C22⋊C4—24no—
1725C22⋊C4—24no—
1726C22⋊C4—24no—
1727C22⋊C4—24no—
1728C22⋊C4—24no—
1729C22⋊C4—24no—
1730C22⋊C4—42no—
1731C22⋊C4—42no—
1732C22⋊C4—42no—
1733C22⋊C4—42no—
1734C22⋊C4—42no—
1735C22⋊C4—42no—
1736C22⋊C4—42no—
1737C22⋊C4—42no—
1738C22⋊C4—42no—
1739C22⋊C4—42no—
1740C22⋊C4—42no—
1741C22⋊C4—42no—
1742C22⋊C4—42no—
1743C22⋊C4—42no—
1744C22⋊C4—42no—
1745C22⋊C4—42no—
1746C22⋊C4—42no—
1747C22⋊C4—42no—
1748C22⋊C4—42no—
1749C22⋊C4—42no—
1750C22⋊C4—42no—
1751C22⋊C4—42no—
1752C22⋊C4—42no—
1753C22⋊C4—42no—
1754C22⋊C4—42no—
1755C22⋊C4—42no—
1756C22⋊C4—42no—
1757C22⋊C4—42no—
1758C22⋊C4—42no—
1759C22⋊C4—42no—
1760C22⋊C4—42no—
1761C22⋊C4—42no—
1762C22⋊C4—42no—
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—
1784C42—22no—
1785C42—24no—
1786C42—22no—
1787C42—22no—
1788C42—22no—
1789C42—41no—
1790C42—42no—
1791C42—42no—
1792C42—42no—
1793C42—42no—
1794C42—41no—
1795C42—42no—
1796C42—42no—
1797C42—42no—
1798C42—42no—
1799C42—42no—
1800C42—42no—
1801C42—42no—
1802C42—42no—
1803C42—42no—
1804C42—42no—
1805C42—42no—
1806C42—41no—
1807C42—42no—
1808C42—42no—
1809C42—42no—
1810C42—42no—
1811C42—42no—
1812C42—42no—
1813C42—42no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—22no—
1818C23—22no—
1819C23—22no—
1820C23—22no—
1821C23—22no—
1822C23—22no—
1823C23—22no—
1824C23—22no—
1825C23—22no—
1826C23—22no—
1827C23—22no—
1828C23—22no—
1829C23—22no—
1830C23—22no—
1831C23—22no—
1832C23—22no—
1833C23—22no—
1834C23C2×2−1+414yes—
1835C23C2611yescharacteristic
1836Q8—82no—
1837Q8—84no—
1838Q8—84no—
1839Q8—161no—
1840D4—44no—
1841D4—44no—
1842D4—48no—
1843D4—84no—
1844D4—84no—
1845D4—84no—
1846D4—84no—
1847D4—84no—
1848D4—161no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—21no—
1867C2×C4—21no—
1868C2×C4—22no—
1869C2×C4—21no—
1870C2×C4—21no—
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—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
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—21no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—21no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—21no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—21no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—48no—
1942C2×C4—84no—
1943C2×C4—84no—
1944C2×C4—84no—
1945C2×C4—84no—
1946C2×C4—84no—
1947C2×C4—84no—
1948C2×C4—162no—
1949C2×C4—162no—
1950C2×C4—162no—
1951C2×C4—162no—
1952C2×C4—162no—
1953C2×C4—162no—
1954C2×C4C2×2−1+412yes—
1955C2×C4#58512yes—
1956C2×C4#58512yes—
1957C2×C4#58512yes—
1958C22—24no—
1959C22—24no—
1960C22—24no—
1961C22—42no—
1962C22—42no—
1963C22—42no—
1964C22—42no—
1965C22—42no—
1966C22—42no—
1967C22—42no—
1968C22—42no—
1969C22—42no—
1970C22—42no—
1971C22—42no—
1972C22—42no—
1973C22—42no—
1974C22—42no—
1975C22—42no—
1976C22—42no—
1977C22—42no—
1978C22—42no—
1979C22C22×2−1+411yescharacteristic
1980C22C2×#58511yescharacteristic
1981C22C2×#58511yescharacteristic
1982C22C2×#58511yescharacteristic
1983C22H(7,𝔽2)11yescharacteristic
1984C22H(7,𝔽2)11yescharacteristic
1985C222−1+611yescharacteristic
1986C4—22no—
1987C4—22no—
1988C4—22no—
1989C4—22no—
1990C4—41no—
1991C4—42no—
1992C4—42no—
1993C4—41no—
1994C4—42no—
1995C4—42no—
1996C4—42no—
1997C4—42no—
1998C4—42no—
1999C4—42no—
2000C4—42no—
2001C4—42no—
2002C4—42no—
2003C4—42no—
2004C4—41no—
2005C4—42no—
2006C4—42no—
2007C4—42no—
2008C4—42no—
2009C4—42no—
2010C4—42no—
2011C4—42no—
2012C4—42no—
2013C4—42no—
2014C4—42no—
2015C4—42no—
2016C4—42no—
2017C4—42no—
2018C2—44no—
2019C2—82no—
2020C2—82no—
2021C2#6286511yescharacteristic
2022C2#6290711yescharacteristic
2023C2#6294811yescharacteristic
2024C2#6296511yescharacteristic
2025C2#6302511yescharacteristic
2026C2#6304711yescharacteristic
2027C2#6306011yescharacteristic
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. #59450C2semidirect
2. #57710C2semidirect
3. #57320C2semidirect
4. #56696C2semidirect
5. #55894C2semidirect
6. #55639C2semidirect
7. #55133C2semidirect
8. #55076C2semidirect
9. #54540C2semidirect
10. #52918C2semidirect
11. #52620C2semidirect
12. #50980C2semidirect
13. #50968C2semidirect
14. #48613C2semidirect
15. #48097C2semidirect
16. #47143C2semidirect
17. #46930C2semidirect
18. #46685C2semidirect
19. #46445C2semidirect
20. #46160C2semidirect
21. #46024C2semidirect
22. #44642C2semidirect
23. #44249C2semidirect
24. #43691C2semidirect
25. #43570C2semidirect
26. #43403C2semidirect
27. #43348C2semidirect
28. #42159C2semidirect
29. #41091C2semidirect
30. #40869C2semidirect
31. #40827C2semidirect
32. #38965C2semidirect
33. #38810C2semidirect
34. #38770C2semidirect
35. #37256C2semidirect

Maximal subgroups

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

subgroupindex
#594502
#577102
#573202
#566962
#558942
#556392
#551332
#550762
#545402
#529182
#526202
#509802
#509682
#486132
#480972
#471432
#469302
#466852
#464452
#461602
#460242
#446422
#442492
#436912
#435702
#434032
#433482
#421592
#410912
#408692
#408272
#389652
#388102
#387702
#372562