Finite Group Databasebeta

← #8096267

Subgroups — #8096267

Order 512.

4379 conjugacy classes of subgroups.

The subgroup lattice has 2090 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52873C212yesmaximal, complemented
2#52706C212yesmaximal, complemented
3#52646C212yesmaximal, complemented
4#52489C212yesmaximal, complemented
5#52477C212yesmaximal, complemented
6#52454C212yesmaximal, complemented
7#52436C212yesmaximal, complemented
8#52390C212yesmaximal, complemented
9#52380C212yesmaximal, complemented
10#52270C211yesmaximal, characteristic, complemented
11#52157C212yesmaximal, complemented
12#46322C211yesmaximal, characteristic, complemented
13#46307C212yesmaximal, complemented
14#46268C211yesmaximal, characteristic, complemented
15#46236C211yesmaximal, characteristic, complemented
16#46093C212yesmaximal, complemented
17#46029C212yesmaximal, complemented
18#45951C212yesmaximal, complemented
19#45922C212yesmaximal, complemented
20#45860C212yesmaximal, complemented
21#45847C212yesmaximal, complemented
22#45831C212yesmaximal, complemented
23#45825C212yesmaximal, complemented
24#45800C212yesmaximal, complemented
25#45766C212yesmaximal, complemented
26#45762C212yesmaximal, complemented
27#36403C211yesmaximal, characteristic, complemented
28#36364C212yesmaximal, complemented
29#36332C212yesmaximal, complemented
30#36325C212yesmaximal, complemented
31#36151C211yesmaximal, characteristic, complemented
32#36135C211yesmaximal, characteristic, complemented
33#35782C212yesmaximal, complemented
34#35727C212yesmaximal, complemented
35#35709C212yesmaximal, complemented
36C2×#562C2212yes—
37C2×#533C2212yes—
38C2×#529C2212yes—
39#2866C2212yes—
40#2866C2212yes—
41#2865C2212yes—
42#2865C2212yes—
43#2864C2211yescharacteristic
44#2862C2211yescharacteristic
45#2861C2212yes—
46#2860C2212yes—
47#2859C2211yescharacteristic
48#2857C2212yes—
49#2854C2212yes—
50#2854C2212yes—
51#2853C2212yes—
52#2853C2212yes—
53#2851C2212yes—
54#2839C2212yes—
55#2839C2212yes—
56#2839C2212yes—
57#2838C2212yes—
58#2837C2212yes—
59#2836C2212yes—
60#2836C2212yes—
61#2836C2212yes—
62#2833C2211yescharacteristic
63#2832C2212yes—
64#2832C2212yes—
65#2832C2211yescharacteristic
66#2831C2212yes—
67#2831C2212yes—
68#2831C2212yes—
69#2830C2211yescharacteristic
70#2829C2212yes—
71#2829C2212yes—
72#2829C2212yes—
73#2828C2211yescharacteristic
74#2828C2212yes—
75#2828C2212yes—
76#2828C2212yes—
77#2828C2212yes—
78#2826C2212yes—
79#2826C2212yes—
80#2824C2212yes—
81#2824C2212yes—
82#2822C2211yescharacteristic
83#2819C2211yescharacteristic
84#2816C2212yes—
85#2815C2212yes—
86#2814C2212yes—
87#2813C2212yes—
88#2813C2212yes—
89#2813C2212yes—
90#2809C2211yescharacteristic
91#2808C2212yes—
92#2808C2212yes—
93#2805C2212yes—
94#2803C2212yes—
95#2803C2212yes—
96#2803C2212yes—
97#2803C2212yes—
98#2802C2212yes—
99#2801C2212yes—
100#2795C2212yes—
101#2795C2211yescharacteristic
102#2794C2212yes—
103#2793C2212yes—
104#2792C2211yescharacteristic
105#2788C2212yes—
106#2786C2212yes—
107#2785C2211yescharacteristic
108#2784C2212yes—
109#2783C2212yes—
110#2783C2212yes—
111#2781C2212yes—
112#2779C2212yes—
113#2777C2212yes—
114#2774C2212yes—
115#2773C2212yes—
116#2773C2212yes—
117#2773C2212yes—
118#2772C2212yes—
119#2770C2212yes—
120#2769C2211yescharacteristic
121#2767C2212yes—
122#2765C2212yes—
123#2756C2212yes—
124#2751C2212yes—
125#2742C2212yes—
126#2741C2212yes—
127#2741C2212yes—
128#2741C2212yes—
129#2739C2212yes—
130#2739C2212yes—
131#2738C2212yes—
132#2737C2212yes—
133#2733C2211yescharacteristic
134#2733C2212yes—
135#2732C2212yes—
136#2731C2211yescharacteristic
137#2731C2211yescharacteristic
138#2730C2212yes—
139#2730C2212yes—
140#2729C2212yes—
141#2729C2212yes—
142#2728C2212yes—
143#2726C2212yes—
144#2725C2212yes—
145#2725C2212yes—
146#2723C2212yes—
147#2723C2212yes—
148#2720C2212yes—
149#2719C2212yes—
150#2716C2212yes—
151#2714C2212yes—
152#2711C2212yes—
153#2711C2212yes—
154#2710C2212yes—
155#2707C2212yes—
156#2707C2212yes—
157#2706C2212yes—
158#2705C2212yes—
159#2703C2212yes—
160#2703C2212yes—
161#2703C2212yes—
162#2703C2212yes—
163#2702C2212yes—
164#2699C2211yescharacteristic
165#2699C2211yescharacteristic
166#2696C2212yes—
167#2694C2212yes—
168#2690C2212yes—
169#2690C2212yes—
170#2687C2212yes—
171#2687C2212yes—
172#2681C2212yes—
173#2681C2212yes—
174#2680C2212yes—
175#2677C2212yes—
176#2676C2212yes—
177#2674C2212yes—
178#2674C2212yes—
179#2674C2212yes—
180#2672C2212yes—
181#2663C2212yes—
182#2661C2212yes—
183#2653C2212yes—
184#2652C2212yes—
185#2652C2212yes—
186#2649C2212yes—
187#2636C2212yes—
188#2635C2212yes—
189#2630C2212yes—
190#2612C2212yes—
191#2604C2212yes—
192#2604C2212yes—
193#2604C2212yes—
194#2602C2212yes—
195#2602C2212yes—
196#2602C2212yes—
197#2602C2212yes—
198#2602C2212yes—
199#2596C2212yes—
200#2596C2212yes—
201#2596C2212yes—
202#2595C2212yes—
203#2595C2212yes—
204#2595C2212yes—
205#2593C2212yes—
206#2593C2212yes—
207#2590C2212yes—
208#2590C2212yes—
209#2589C2212yes—
210#2589C2212yes—
211#2587C2212yes—
212#2587C2212yes—
213#2587C2212yes—
214#2586C2212yes—
215#2585C2212yes—
216#2585C2212yes—
217#2585C2212yes—
218#2581C2211yescharacteristic
219#2580C2211yescharacteristic
220#2578C2212yes—
221#2576C2212yes—
222#2575C2212yes—
223#2575C2212yes—
224#2573C2212yes—
225#2560C2212yes—
226#2559C2212yes—
227#2559C2212yes—
228#2554C2212yes—
229#2554C2212yes—
230#2553C2212yes—
231#2553C2212yes—
232#2553C2212yes—
233#2543C2212yes—
234#2536C2211yescharacteristic
235#2536C2211yescharacteristic
236#2536C2211yescharacteristic
237#2535C2211yescharacteristic
238#2533C2212yes—
239#2531C2212yes—
240#2531C2212yes—
241#2530C2212yes—
242#2529C2212yes—
243#2529C2212yes—
244#2529C2212yes—
245#2528C2212yes—
246#2526C2212yes—
247#2526C2212yes—
248#2525C2212yes—
249#2522C2212yes—
250#2522C2212yes—
251#2520C2212yes—
252#2518C2212yes—
253#2518C2212yes—
254#2517C2212yes—
255#2516C2212yes—
256#2509C2212yes—
257#2509C2212yes—
258#2505C2212yes—
259#2489C2212yes—
260#2489C2212yes—
261#2488C2212yes—
262#2488C2212yes—
263#2478C2212yes—
264#2478C2212yes—
265#2477C2212yes—
266#2476C2212yes—
267#2476C2212yes—
268#2475C2212yes—
269#2474C2212yes—
270#2474C2212yes—
271#2471C2212yes—
272#2471C2212yes—
273#2470C2212yes—
274#2470C2212yes—
275#2469C2212yes—
276#2468C2212yes—
277#2467C2212yes—
278#2467C2212yes—
279#2466C2212yes—
280#2466C2212yes—
281#2465C2212yes—
282#2465C2212yes—
283#2465C2212yes—
284#2464C2212yes—
285#2464C2212yes—
286#2464C2212yes—
287#2464C2212yes—
288#2463C2212yes—
289#2463C2212yes—
290#2463C2212yes—
291#2463C2212yes—
292#2462C2212yes—
293#2461C2212yes—
294#2461C2212yes—
295#2461C2212yes—
296#2459C2212yes—
297#2458C2212yes—
298#2458C2212yes—
299#2458C2212yes—
300#2458C2212yes—
301#2458C2212yes—
302#2457C2212yes—
303#2456C2212yes—
304#2456C2212yes—
305#2456C2212yes—
306#2456C2212yes—
307#2455C2212yes—
308#2455C2212yes—
309#2455C2212yes—
310#2455C2212yes—
311#2453C2212yes—
312#2453C2212yes—
313#2452C2212yes—
314#2450C2212yes—
315#2448C2212yes—
316#2439C2212yes—
317#2438C2212yes—
318#2429C2212yes—
319#2426C2212yes—
320#2423C2212yes—
321#2422C2212yes—
322#2421C2212yes—
323#2421C2212yes—
324#2415C2212yes—
325#2415C2212yes—
326#2415C2212yes—
327#2414C2212yes—
328#2398C2212yes—
329#2398C2212yes—
330#2398C2212yes—
331#2396C2212yes—
332#2396C2212yes—
333#2392C2212yes—
334#2392C2212yes—
335#2392C2212yes—
336#2392C2212yes—
337#2381C2212yes—
338#2379C2212yes—
339#2378C2212yes—
340#2378C2212yes—
341#2378C2212yes—
342#2378C2212yes—
343#2376C2212yes—
344#2376C2212yes—
345#2374C2212yes—
346#2374C2212yes—
347#2373C2212yes—
348#2373C2212yes—
349#2373C2212yes—
350#2368C2212yes—
351#2364C2212yes—
352#2363C2212yes—
353#2362C2212yes—
354#2362C2212yes—
355#2359C2212yes—
356#2359C2212yes—
357#2359C2212yes—
358#2357C2211yescharacteristic
359#2351C2211yescharacteristic
360#2351C2211yescharacteristic
361#2349C2211yescharacteristic
362C4×C4⋊Q8C2211yescharacteristic
363C4×#124C2212yes—
364C4×#124C2211yescharacteristic
365C4×#124C2211yescharacteristic
366C4×C22⋊Q8C2212yes—
367C4×#121C2212yes—
368#2298C2212yes—
369#2298C2212yes—
370#2295C2212yes—
371#2293C2212yes—
372#2293C2212yes—
373#2290C2212yes—
374#2290C2212yes—
375#2275C2212yes—
376C42×Q8C2211yescharacteristic
377C42×D4C2211yescharacteristic
378C42×D4C2211yescharacteristic
379#562—48no—
380#533—48no—
381C2×C4⋊Q8C2311yescharacteristic
382C2×C4⋊Q8C2312yes—
383C2×C4⋊Q8C2312yes—
384#529—48no—
385C2×#126C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#125C2312yes—
391C2×#125C2312yes—
392C2×#125C2312yes—
393C2×#125C2312yes—
394C2×#124C2311yescharacteristic
395C2×#124C2311yescharacteristic
396C2×#124C2312yes—
397C2×#124C2312yes—
398C2×#124C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
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×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2311yescharacteristic
457C2×#117C2312yes—
458C2×#117C2312yes—
459C2×#117C2312yes—
460C2×#117C2312yes—
461C2×#117C2312yes—
462C2×#117C2312yes—
463C22×C42C2312yes—
464C22×C42C2312yes—
465#401C2312yes—
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#400C2311yescharacteristic
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2311yescharacteristic
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
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#398C2311yescharacteristic
521#398C2311yescharacteristic
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2311yescharacteristic
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2311yescharacteristic
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#397C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2312yes—
551#397C2312yes—
552#397C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#395C2311yescharacteristic
605#395C2312yes—
606#395C2312yes—
607#395C2312yes—
608#395C2311yescharacteristic
609#395C2312yes—
610#395C2312yes—
611#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2311yescharacteristic
623#394C2311yescharacteristic
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2311yescharacteristic
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2311yescharacteristic
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#393C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#393C2312yes—
669#393C2312yes—
670#393C2312yes—
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#393C2312yes—
677#393C2312yes—
678#393C2312yes—
679#392C2312yes—
680#392C2312yes—
681#392C2312yes—
682#392C2312yes—
683#392C2312yes—
684#392C2312yes—
685#392C2312yes—
686#392C2312yes—
687#392C2312yes—
688#392C2312yes—
689#392C2312yes—
690#392C2312yes—
691#392C2312yes—
692#392C2312yes—
693#392C2312yes—
694#392C2312yes—
695#392C2312yes—
696#392C2312yes—
697#392C2312yes—
698#392C2312yes—
699#391C2312yes—
700#391C2311yescharacteristic
701#391C2311yescharacteristic
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2311yescharacteristic
715#391C2311yescharacteristic
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2311yescharacteristic
720#390C2312yes—
721#390C2312yes—
722#390C2312yes—
723#390C2312yes—
724#390C2312yes—
725#390C2312yes—
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
729#390C2311yescharacteristic
730#390C2312yes—
731#390C2312yes—
732#390C2312yes—
733#390C2312yes—
734#390C2312yes—
735#390C2312yes—
736#390C2312yes—
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#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
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#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#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#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
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#384C2311yescharacteristic
1010#384C2312yes—
1011#383C2312yes—
1012#383C2312yes—
1013#382C2311yescharacteristic
1014#382C2311yescharacteristic
1015#382C2311yescharacteristic
1016#382C2312yes—
1017#382C2311yescharacteristic
1018#382C2311yescharacteristic
1019#382C2311yescharacteristic
1020#382C2311yescharacteristic
1021#382C2311yescharacteristic
1022#382C2312yes—
1023#382C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2311yescharacteristic
1060C4×C4⋊C4C2311yescharacteristic
1061C4×C4⋊C4C2311yescharacteristic
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C22⋊C4C2312yes—
1066C4×C22⋊C4C2312yes—
1067C4×C22⋊C4C2312yes—
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊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—
1092#376C2312yes—
1093#376C2312yes—
1094#376C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2312yes—
1097C43C2311yescharacteristic
1098C43C2311yescharacteristic
1099C43C2312yes—
1100C43C2311yescharacteristic
1101C22×Q8C2411yescharacteristic
1102C22×Q8C2412yes—
1103C22×Q8C2412yes—
1104C22×Q8C2411yescharacteristic
1105C22×Q8C2412yes—
1106C22×Q8C2411yescharacteristic
1107C22×D4C2411yescharacteristic
1108C22×D4C2411yescharacteristic
1109C22×D4C2411yescharacteristic
1110C22×D4C2412yes—
1111C22×D4C2411yescharacteristic
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C23×C4C2412yes—
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C4⋊Q8—24no—
1136C4⋊Q8—44no—
1137C4⋊Q8—44no—
1138#126—44no—
1139#126—44no—
1140#126—44no—
1141#126—44no—
1142#126—44no—
1143#125—44no—
1144#125—44no—
1145#125—44no—
1146#125—44no—
1147#124—24no—
1148#124—24no—
1149#124—44no—
1150#124—44no—
1151#124—44no—
1152#123—44no—
1153#123—44no—
1154#123—44no—
1155#123—44no—
1156#123—44no—
1157#123—44no—
1158#123—44no—
1159#123—44no—
1160#123—44no—
1161#123—44no—
1162#123—44no—
1163#123—44no—
1164#123—44no—
1165C22⋊Q8—28no—
1166C22⋊Q8—28no—
1167C22⋊Q8—44no—
1168C22⋊Q8—44no—
1169C22⋊Q8—44no—
1170C22⋊Q8—44no—
1171C22⋊Q8—44no—
1172C22⋊Q8—44no—
1173C22⋊Q8—44no—
1174C22⋊Q8—44no—
1175C22⋊Q8—44no—
1176C22⋊Q8—44no—
1177C22⋊Q8—44no—
1178#121—44no—
1179#121—44no—
1180#121—44no—
1181#121—44no—
1182#121—44no—
1183#121—44no—
1184#121—44no—
1185#121—44no—
1186C4×Q8—28no—
1187C4×Q8—42no—
1188C4×Q8—42no—
1189C4×Q8—42no—
1190C4×Q8—44no—
1191C4×Q8—44no—
1192C4×Q8—44no—
1193C4×Q8—44no—
1194C4×D4—44no—
1195C4×D4—42no—
1196C4×D4—42no—
1197C4×D4—44no—
1198C4×D4—44no—
1199C4×D4—44no—
1200C4×D4—42no—
1201C4×D4—42no—
1202C4×D4—44no—
1203C4×D4—44no—
1204C4×D4—44no—
1205C4×D4—44no—
1206C4×D4—44no—
1207C4×D4—44no—
1208C4×D4—44no—
1209C4×D4—44no—
1210#117—44no—
1211#117—44no—
1212#117—44no—
1213#117—44no—
1214#117—44no—
1215#117—44no—
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⋊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⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2411yescharacteristic
1248C2×C4⋊C4C2411yescharacteristic
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2411yescharacteristic
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2411yescharacteristic
1258C2×C4⋊C4C2411yescharacteristic
1259C2×C4⋊C4C2411yescharacteristic
1260C2×C4⋊C4C2411yescharacteristic
1261C2×C4⋊C4C2411yescharacteristic
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⋊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⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊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×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×C42—44no—
1384C2×C42—44no—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2411yescharacteristic
1390C2×C42C2411yescharacteristic
1391C2×C42C2411yescharacteristic
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2411yescharacteristic
1395C2×C42C2411yescharacteristic
1396C2×C42C2411yescharacteristic
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2411yescharacteristic
1419C2×C42C2411yescharacteristic
1420C2×C42C2411yescharacteristic
1421#95C2412yes—
1422#95C2411yescharacteristic
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#95C2411yescharacteristic
1444#95C2412yes—
1445#95C2411yescharacteristic
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#95C2411yescharacteristic
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#95C2411yescharacteristic
1502#95C2411yescharacteristic
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2411yescharacteristic
1508#95C2412yes—
1509#95C2411yescharacteristic
1510#95C2411yescharacteristic
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2411yescharacteristic
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527C24C2512yes—
1528C24C2512yes—
1529C24C2512yes—
1530C24C2512yes—
1531C2×Q8—22no—
1532C2×Q8—24no—
1533C2×Q8—24no—
1534C2×Q8—41no—
1535C2×Q8—41no—
1536C2×Q8—42no—
1537C2×Q8—41no—
1538C2×Q8—41no—
1539C2×Q8—41no—
1540C2×Q8—42no—
1541C2×Q8—42no—
1542C2×Q8—42no—
1543C2×Q8—42no—
1544C2×Q8—42no—
1545C2×Q8—42no—
1546C2×Q8—42no—
1547C2×Q8H(5,𝔽2)14yes—
1548C2×D4—22no—
1549C2×D4—22no—
1550C2×D4—41no—
1551C2×D4—41no—
1552C2×D4—42no—
1553C2×D4—41no—
1554C2×D4—42no—
1555C2×D4—42no—
1556C2×D4—42no—
1557C2×D4—42no—
1558C2×D4—41no—
1559C2×D4—42no—
1560C2×D4—42no—
1561C2×D4—41no—
1562C2×D4—42no—
1563C2×D4—42no—
1564C2×D4—42no—
1565C2×D4—42no—
1566C2×D4—42no—
1567C2×D4—42no—
1568C2×D4—42no—
1569C2×D4—42no—
1570C2×D4—42no—
1571C2×D4—42no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C2×D4—42no—
1575C2×D4—42no—
1576C2×D4—41no—
1577C2×D4—42no—
1578C2×D4—42no—
1579C2×D4—42no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C2×D4—42no—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C22×C4—24no—
1595C22×C4—24no—
1596C22×C4—24no—
1597C22×C4—24no—
1598C22×C4—24no—
1599C22×C4—24no—
1600C22×C4—24no—
1601C22×C4—24no—
1602C22×C4—24no—
1603C22×C4—24no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—42no—
1612C22×C4—42no—
1613C22×C4—42no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—42no—
1620C22×C4—42no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—42no—
1625C22×C4—42no—
1626C22×C4—42no—
1627C22×C4—42no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2512yes—
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2511yescharacteristic
1638C22×C4C2511yescharacteristic
1639C22×C4C2512yes—
1640C22×C4C2511yescharacteristic
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2512yes—
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2512yes—
1651C22×C4C2512yes—
1652C22×C4C2512yes—
1653C22×C4C2512yes—
1654C22×C4C2512yes—
1655C22×C4C2511yescharacteristic
1656C22×C4C2511yescharacteristic
1657C22×C4C2511yescharacteristic
1658C22×C4C2511yescharacteristic
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C4⋊C4—24no—
1662C4⋊C4—24no—
1663C4⋊C4—24no—
1664C4⋊C4—24no—
1665C4⋊C4—24no—
1666C4⋊C4—24no—
1667C4⋊C4—24no—
1668C4⋊C4—24no—
1669C4⋊C4—24no—
1670C4⋊C4—24no—
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—24no—
1674C4⋊C4—24no—
1675C4⋊C4—24no—
1676C4⋊C4—24no—
1677C4⋊C4—24no—
1678C4⋊C4—24no—
1679C4⋊C4—24no—
1680C4⋊C4—24no—
1681C4⋊C4—24no—
1682C4⋊C4—24no—
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—41no—
1695C4⋊C4—41no—
1696C4⋊C4—42no—
1697C4⋊C4—41no—
1698C4⋊C4—42no—
1699C4⋊C4—41no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—41no—
1703C4⋊C4—41no—
1704C4⋊C4—41no—
1705C4⋊C4—41no—
1706C4⋊C4—42no—
1707C4⋊C4—41no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—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—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C22⋊C4—24no—
1745C22⋊C4—24no—
1746C22⋊C4—24no—
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—24no—
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—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C42—22no—
1829C42—22no—
1830C42—24no—
1831C42—24no—
1832C42—24no—
1833C42—22no—
1834C42—24no—
1835C42—22no—
1836C42—22no—
1837C42—22no—
1838C42—24no—
1839C42—24no—
1840C42—42no—
1841C42—42no—
1842C42—42no—
1843C42—42no—
1844C42—41no—
1845C42—41no—
1846C42—41no—
1847C42—42no—
1848C42—42no—
1849C42—42no—
1850C42—42no—
1851C42—42no—
1852C42—42no—
1853C42—42no—
1854C42—42no—
1855C42—42no—
1856C42—42no—
1857C42—42no—
1858C42—42no—
1859C42—42no—
1860C42—42no—
1861C42—42no—
1862C42—42no—
1863C42—42no—
1864C23—22no—
1865C23—22no—
1866C23—22no—
1867C23—22no—
1868C23—22no—
1869C23—22no—
1870C23—22no—
1871C23—22no—
1872C23—22no—
1873C23—22no—
1874C23—22no—
1875C23—22no—
1876C23—22no—
1877C23—22no—
1878C23—22no—
1879C23—22no—
1880C23—22no—
1881C23—22no—
1882C23—22no—
1883C23—22no—
1884C23—22no—
1885C23—22no—
1886C23—22no—
1887C23—22no—
1888C23—22no—
1889C23—22no—
1890C23—22no—
1891C23—22no—
1892C23C2611yescharacteristic
1893Q8—44no—
1894Q8—44no—
1895Q8—44no—
1896Q8—84no—
1897Q8—84no—
1898Q8—162no—
1899D4—44no—
1900D4—44no—
1901D4—48no—
1902D4—44no—
1903D4—82no—
1904D4—84no—
1905D4—84no—
1906D4—84no—
1907D4—84no—
1908D4—84no—
1909D4—84no—
1910D4—162no—
1911D4—162no—
1912D4—162no—
1913D4—162no—
1914D4—162no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—21no—
1918C2×C4—22no—
1919C2×C4—21no—
1920C2×C4—21no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—21no—
1924C2×C4—21no—
1925C2×C4—21no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—21no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—21no—
1944C2×C4—22no—
1945C2×C4—21no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—48no—
1999C2×C4—84no—
2000C2×C4—84no—
2001C2×C4—84no—
2002C2×C4—84no—
2003C2×C4—84no—
2004C2×C4—84no—
2005C2×C4—84no—
2006C2×C4—84no—
2007C2×C4—84no—
2008C2×C4—162no—
2009C2×C4—162no—
2010C2×C4C2×H(5,𝔽2)12yes—
2011C2×C4C2×H(5,𝔽2)12yes—
2012C2×C4C2×H(5,𝔽2)12yes—
2013C2×C4#58512yes—
2014C2×C4#58514yes—
2015C2×C4#58514yes—
2016C22—42no—
2017C22—42no—
2018C22—42no—
2019C22—42no—
2020C22—42no—
2021C22—42no—
2022C22—42no—
2023C22—42no—
2024C22—42no—
2025C22—42no—
2026C22—42no—
2027C22—42no—
2028C22—42no—
2029C22—42no—
2030C22—42no—
2031C22—42no—
2032C22—42no—
2033C22—42no—
2034C22—42no—
2035C22—42no—
2036C22—42no—
2037C22—42no—
2038C22—42no—
2039C22—42no—
2040C22—42no—
2041C22—42no—
2042C22—42no—
2043C22—42no—
2044C22C22×H(5,𝔽2)11yescharacteristic
2045C22C2×#58512yes—
2046C22C2×#58512yes—
2047C22C2×#58511yescharacteristic
2048C222−1+611yescharacteristic
2049C4—24no—
2050C4—24no—
2051C4—22no—
2052C4—22no—
2053C4—22no—
2054C4—22no—
2055C4—42no—
2056C4—42no—
2057C4—42no—
2058C4—42no—
2059C4—42no—
2060C4—42no—
2061C4—42no—
2062C4—42no—
2063C4—42no—
2064C4—42no—
2065C4—42no—
2066C4—42no—
2067C4—42no—
2068C4—42no—
2069C4—42no—
2070C4—41no—
2071C4—42no—
2072C4—41no—
2073C4—42no—
2074C4—41no—
2075C4—42no—
2076C4—42no—
2077C4—42no—
2078C4—42no—
2079C4—42no—
2080C2—82no—
2081C2—82no—
2082C2—82no—
2083C2—82no—
2084C2#6269411yescharacteristic
2085C2#6290111yescharacteristic
2086C2#6296712yes—
2087C2#6302012yes—
2088C2#6302811yescharacteristic
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. #52873C2semidirect
2. #52706C2semidirect
3. #52646C2semidirect
4. #52489C2semidirect
5. #52477C2semidirect
6. #52454C2semidirect
7. #52436C2semidirect
8. #52390C2semidirect
9. #52380C2semidirect
10. #52270C2semidirect
11. #52157C2semidirect
12. #46322C2semidirect
13. #46307C2semidirect
14. #46268C2semidirect
15. #46236C2semidirect
16. #46093C2semidirect
17. #46029C2semidirect
18. #45951C2semidirect
19. #45922C2semidirect
20. #45860C2semidirect
21. #45847C2semidirect
22. #45831C2semidirect
23. #45825C2semidirect
24. #45800C2semidirect
25. #45766C2semidirect
26. #45762C2semidirect
27. #36403C2semidirect
28. #36364C2semidirect
29. #36332C2semidirect
30. #36325C2semidirect
31. #36151C2semidirect
32. #36135C2semidirect
33. #35782C2semidirect
34. #35727C2semidirect
35. #35709C2semidirect

Maximal subgroups

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

subgroupindex
#528732
#527062
#526462
#524892
#524772
#524542
#524362
#523902
#523802
#522702
#521572
#463222
#463072
#462682
#462362
#460932
#460292
#459512
#459222
#458602
#458472
#458312
#458252
#458002
#457662
#457622
#364032
#363642
#363322
#363252
#361512
#361352
#357822
#357272
#357092