Finite Group Databasebeta

← #8932062

Subgroups — #8932062

Order 512.

4052 conjugacy classes of subgroups.

The subgroup lattice has 2003 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#57924C212yesmaximal, complemented
2#57803C212yesmaximal, complemented
3#56233C212yesmaximal, complemented
4#55998C212yesmaximal, complemented
5#55891C212yesmaximal, complemented
6#55827C212yesmaximal, complemented
7#55824C212yesmaximal, complemented
8#55770C212yesmaximal, complemented
9#55611C211yesmaximal, characteristic, complemented
10#55610C211yesmaximal, characteristic, complemented
11#53692C212yesmaximal, complemented
12#53590C212yesmaximal, complemented
13#53488C211yesmaximal, characteristic
14#53487C211yesmaximal, characteristic, complemented
15#51462C212yesmaximal, complemented
16#51407C212yesmaximal, complemented
17#51244C212yesmaximal, complemented
18#50249C212yesmaximal, complemented
19#50216C212yesmaximal, complemented
20#49129C212yesmaximal, complemented
21#46822C212yesmaximal, complemented
22#46403C212yesmaximal, complemented
23#46383C212yesmaximal, complemented
24#46192C212yesmaximal, complemented
25#46187C212yesmaximal, complemented
26#46175C212yesmaximal, complemented
27#45910C212yesmaximal, complemented
28#45858C212yesmaximal, complemented
29#45850C212yesmaximal, complemented
30#37131C212yesmaximal, complemented
31#37120C211yesmaximal, characteristic, complemented
32#36994C212yesmaximal, complemented
33#36959C211yesmaximal, characteristic, complemented
34#35653C212yesmaximal, complemented
35#35468C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#539C2211yescharacteristic
38C2×#539C2212yes—
39C2×#539C2211yescharacteristic
40C22×#125C2211yescharacteristic
41#2865C2212yes—
42#2864C2212yes—
43#2860C2212yes—
44#2859C2212yes—
45#2855C2211yescharacteristic
46#2855C2211yescharacteristic
47#2853C2212yes—
48#2844C2211yescharacteristic
49#2843C2211yescharacteristic
50#2839C2212yes—
51#2839C2212yes—
52#2839C2212yes—
53#2839C2212yes—
54#2839C2212yes—
55#2839C2212yes—
56#2838C2212yes—
57#2837C2212yes—
58#2836C2212yes—
59#2836C2212yes—
60#2836C2212yes—
61#2832C2211yescharacteristic
62#2831C2212yes—
63#2831C2212yes—
64#2829C2212yes—
65#2828C2211yescharacteristic
66#2814C2212yes—
67#2809C2211yescharacteristic
68#2807C2212yes—
69#2805C2212yes—
70#2805C2212yes—
71#2802C2212yes—
72#2802C2212yes—
73#2802C2212yes—
74#2800C2212yes—
75#2800C2212yes—
76#2800C2212yes—
77#2799C2211yescharacteristic
78#2797C2212yes—
79#2794C2212yes—
80#2793C2212yes—
81#2793C2212yes—
82#2793C2212yes—
83#2792C2211yescharacteristic
84#2791C2212yes—
85#2791C2212yes—
86#2790C2212yes—
87#2790C2212yes—
88#2787C2212yes—
89#2784C2211yescharacteristic
90#2783C2212yes—
91#2783C2212yes—
92#2783C2212yes—
93#2782C2211yescharacteristic
94#2782C2212yes—
95#2781C2212yes—
96#2779C2212yes—
97#2777C2212yes—
98#2776C2212yes—
99#2774C2212yes—
100#2774C2212yes—
101#2773C2212yes—
102#2772C2212yes—
103#2772C2212yes—
104#2772C2212yes—
105#2771C2212yes—
106#2771C2212yes—
107#2771C2212yes—
108#2770C2212yes—
109#2770C2212yes—
110#2769C2211yescharacteristic
111#2768C2212yes—
112#2767C2212yes—
113#2767C2212yes—
114#2767C2212yes—
115#2767C2212yes—
116#2767C2212yes—
117#2766C2212yes—
118#2765C2212yes—
119#2761C2212yes—
120#2761C2212yes—
121#2761C2212yes—
122#2758C2212yes—
123#2757C2212yes—
124#2755C2212yes—
125#2755C2212yes—
126#2753C2212yes—
127#2752C2212yes—
128#2750C2212yes—
129#2750C2212yes—
130#2750C2212yes—
131#2747C2212yes—
132#2745C2212yes—
133#2744C2212yes—
134#2743C2212yes—
135#2741C2212yes—
136#2741C2212yes—
137#2740C2212yes—
138#2740C2212yes—
139#2738C2212yes—
140#2738C2212yes—
141#2729C2212yes—
142#2729C2212yes—
143#2726C2212yes—
144#2726C2212yes—
145#2726C2212yes—
146#2725C2212yes—
147#2725C2212yes—
148#2725C2212yes—
149#2724C2212yes—
150#2723C2212yes—
151#2721C2212yes—
152#2721C2212yes—
153#2720C2212yes—
154#2720C2212yes—
155#2719C2212yes—
156#2719C2212yes—
157#2719C2212yes—
158#2719C2212yes—
159#2719C2212yes—
160#2719C2212yes—
161#2719C2212yes—
162#2719C2212yes—
163#2719C2212yes—
164#2719C2212yes—
165#2718C2212yes—
166#2718C2212yes—
167#2716C2212yes—
168#2713C2212yes—
169#2713C2212yes—
170#2713C2212yes—
171#2713C2212yes—
172#2713C2212yes—
173#2707C2212yes—
174#2707C2212yes—
175#2707C2212yes—
176#2707C2212yes—
177#2706C2212yes—
178#2706C2212yes—
179#2706C2212yes—
180#2706C2212yes—
181#2706C2212yes—
182#2704C2212yes—
183#2704C2212yes—
184#2701C2212yes—
185#2701C2212yes—
186#2701C2212yes—
187#2698C2212yes—
188#2698C2212yes—
189#2698C2212yes—
190#2698C2212yes—
191#2695C2212yes—
192#2694C2212yes—
193#2694C2212yes—
194#2692C2212yes—
195#2690C2212yes—
196#2690C2212yes—
197#2689C2212yes—
198#2689C2212yes—
199#2689C2212yes—
200#2688C2212yes—
201#2687C2212yes—
202#2687C2212yes—
203#2683C2211yescharacteristic
204#2683C2212yes—
205#2682C2212yes—
206#2681C2212yes—
207#2680C2212yes—
208#2680C2212yes—
209#2680C2212yes—
210#2680C2211yescharacteristic
211#2666C2212yes—
212#2664C2212yes—
213#2664C2212yes—
214#2654C2212yes—
215#2652C2212yes—
216#2652C2212yes—
217#2652C2212yes—
218#2652C2212yes—
219#2652C2212yes—
220#2652C2212yes—
221#2650C2212yes—
222#2650C2212yes—
223#2649C2212yes—
224#2649C2212yes—
225#2648C2212yes—
226#2646C2212yes—
227#2627C2211yescharacteristic
228#2627C2211yescharacteristic
229#2623C2212yes—
230#2612C2211yescharacteristic
231#2608C2212yes—
232#2608C2212yes—
233#2606C2212yes—
234#2602C2212yes—
235#2602C2212yes—
236#2597C2212yes—
237#2596C2212yes—
238#2596C2212yes—
239#2596C2212yes—
240#2596C2212yes—
241#2595C2212yes—
242#2595C2212yes—
243#2593C2211yescharacteristic
244#2591C2211yescharacteristic
245#2591C2211yescharacteristic
246#2590C2212yes—
247#2590C2212yes—
248#2587C2212yes—
249#2586C2211yescharacteristic
250#2583C2211yescharacteristic
251#2583C2212yes—
252#2583C2212yes—
253#2583C2211yescharacteristic
254#2579C2212yes—
255#2577C2212yes—
256#2577C2212yes—
257#2577C2212yes—
258#2575C2212yes—
259#2575C2212yes—
260#2575C2212yes—
261#2575C2212yes—
262#2573C2212yes—
263#2573C2212yes—
264#2573C2212yes—
265#2571C2211yescharacteristic
266#2570C2212yes—
267#2570C2212yes—
268#2570C2212yes—
269#2569C2212yes—
270#2558C2212yes—
271#2558C2212yes—
272#2558C2212yes—
273#2558C2212yes—
274#2556C2212yes—
275#2556C2212yes—
276#2556C2212yes—
277#2556C2212yes—
278#2554C2212yes—
279#2553C2212yes—
280#2553C2212yes—
281#2552C2212yes—
282#2533C2212yes—
283#2533C2212yes—
284#2532C2212yes—
285#2530C2212yes—
286#2530C2212yes—
287#2529C2212yes—
288#2529C2212yes—
289#2527C2212yes—
290#2526C2212yes—
291#2526C2212yes—
292#2522C2212yes—
293#2522C2212yes—
294#2520C2212yes—
295#2519C2212yes—
296#2519C2212yes—
297#2518C2212yes—
298#2516C2212yes—
299#2516C2212yes—
300#2516C2212yes—
301#2515C2212yes—
302#2511C2212yes—
303#2509C2212yes—
304#2509C2212yes—
305#2509C2212yes—
306#2509C2212yes—
307#2508C2212yes—
308#2508C2212yes—
309#2508C2212yes—
310#2507C2212yes—
311#2507C2212yes—
312#2507C2212yes—
313#2506C2212yes—
314#2506C2212yes—
315#2506C2212yes—
316#2504C2211yescharacteristic
317#2503C2211yescharacteristic
318#2503C2212yes—
319#2502C2211yescharacteristic
320#2501C2211yescharacteristic
321#2497C2212yes—
322#2497C2212yes—
323#2495C2212yes—
324#2489C2212yes—
325#2489C2212yes—
326#2488C2212yes—
327#2488C2212yes—
328#2487C2212yes—
329#2484C2212yes—
330#2484C2212yes—
331#2481C2212yes—
332#2478C2212yes—
333#2476C2212yes—
334#2475C2212yes—
335#2473C2212yes—
336#2470C2212yes—
337#2470C2212yes—
338#2470C2212yes—
339#2469C2212yes—
340#2466C2212yes—
341#2462C2212yes—
342#2460C2212yes—
343#2457C2212yes—
344#2457C2212yes—
345#2452C2212yes—
346#2450C2212yes—
347#2442C2212yes—
348#2441C2212yes—
349#2440C2212yes—
350#2429C2212yes—
351#2429C2212yes—
352#2420C2212yes—
353#2419C2212yes—
354#2415C2212yes—
355#2415C2212yes—
356#2413C2212yes—
357#2413C2212yes—
358#2413C2212yes—
359#2383C2212yes—
360#2382C2212yes—
361#2382C2212yes—
362#2378C2212yes—
363#2378C2212yes—
364#2376C2212yes—
365#2374C2212yes—
366#2368C2212yes—
367#2335C2212yes—
368#2323C2212yes—
369#2323C2212yes—
370#2322C2212yes—
371#2314C2212yes—
372#2313C2211yescharacteristic
373#2313C2211yescharacteristic
374C4×#125C2212yes—
375C4×#123C2212yes—
376#2295C2212yes—
377#2293C2212yes—
378#2274C2211yescharacteristic
379#544—44no—
380#539—44no—
381#539—44no—
382#539—48no—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2312yes—
385C2×#126C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#125—44no—
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×#125C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×#121C2311yescharacteristic
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C2×#117C2312yes—
438C22×C4⋊C4C2311yescharacteristic
439C22×C4⋊C4C2311yescharacteristic
440C22×C4⋊C4C2311yescharacteristic
441C22×C4⋊C4C2311yescharacteristic
442C22×C4⋊C4C2311yescharacteristic
443C22×C4⋊C4C2311yescharacteristic
444C22×C4⋊C4C2312yes—
445C22×C42C2311yescharacteristic
446#401C2312yes—
447#400C2312yes—
448#400C2312yes—
449#400C2312yes—
450#400C2312yes—
451#400C2312yes—
452#400C2312yes—
453#400C2312yes—
454#400C2311yescharacteristic
455#400C2311yescharacteristic
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#400C2311yescharacteristic
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#400C2311yescharacteristic
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2311yescharacteristic
506#400C2311yescharacteristic
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
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#398C2311yescharacteristic
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#398C2311yescharacteristic
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#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#396C2312yes—
651#396C2312yes—
652#395C2312yes—
653#395C2312yes—
654#395C2311yescharacteristic
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#395C2311yescharacteristic
659#395C2312yes—
660#395C2311yescharacteristic
661#395C2312yes—
662#395C2312yes—
663#395C2311yescharacteristic
664#395C2311yescharacteristic
665#395C2311yescharacteristic
666#395C2312yes—
667#394C2312yes—
668#394C2311yescharacteristic
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2311yescharacteristic
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#393C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#392C2312yes—
692#392C2312yes—
693#392C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2311yescharacteristic
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2311yescharacteristic
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#390C2311yescharacteristic
709#390C2312yes—
710#390C2312yes—
711#390C2311yescharacteristic
712#390C2312yes—
713#390C2312yes—
714#390C2312yes—
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
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#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#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
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#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#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#387C2312yes—
954#387C2312yes—
955#387C2312yes—
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#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#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#384C2312yes—
1009#384C2312yes—
1010#384C2312yes—
1011#384C2311yescharacteristic
1012#384C2311yescharacteristic
1013#384C2312yes—
1014#384C2312yes—
1015#383C2312yes—
1016#383C2312yes—
1017#383C2312yes—
1018#383C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#382C2311yescharacteristic
1029#382C2312yes—
1030#382C2312yes—
1031#382C2312yes—
1032#382C2311yescharacteristic
1033#382C2312yes—
1034#382C2312yes—
1035#382C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#381C2312yes—
1047#381C2312yes—
1048#380C2312yes—
1049#380C2311yescharacteristic
1050#380C2311yescharacteristic
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C22⋊C4C2311yescharacteristic
1083C4×C22⋊C4C2311yescharacteristic
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2311yescharacteristic
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2311yescharacteristic
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099#376C2312yes—
1100#376C2312yes—
1101C2×#95C2312yes—
1102C43C2312yes—
1103C22×Q8C2412yes—
1104C22×Q8C2411yescharacteristic
1105C22×Q8C2411yescharacteristic
1106C22×Q8C2411yescharacteristic
1107C22×Q8C2411yescharacteristic
1108C22×D4C2412yes—
1109C22×D4C2412yes—
1110C22×D4C2412yes—
1111C22×D4C2411yescharacteristic
1112C22×D4C2411yescharacteristic
1113C22×D4C2412yes—
1114C23×C4C2411yescharacteristic
1115C23×C4C2411yescharacteristic
1116C23×C4C2411yescharacteristic
1117C23×C4C2411yescharacteristic
1118C23×C4C2411yescharacteristic
1119C23×C4C2411yescharacteristic
1120C23×C4C2412yes—
1121C23×C4C2412yes—
1122C23×C4C2412yes—
1123C23×C4C2412yes—
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2411yescharacteristic
1127C4⋊Q8—44no—
1128C4⋊Q8—44no—
1129#126—44no—
1130#126—44no—
1131#126—44no—
1132#126—44no—
1133#126—44no—
1134#125—44no—
1135#125—44no—
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—44no—
1146#125—44no—
1147#123—28no—
1148#123—44no—
1149#123—44no—
1150#123—44no—
1151#123—44no—
1152#123—44no—
1153#123—44no—
1154#123—44no—
1155#123—44no—
1156#123—44no—
1157#123—44no—
1158C22⋊Q8—28no—
1159C22⋊Q8—42no—
1160C22⋊Q8—42no—
1161C22⋊Q8—42no—
1162C22⋊Q8—42no—
1163C22⋊Q8—44no—
1164C22⋊Q8—44no—
1165C22⋊Q8—44no—
1166C22⋊Q8—44no—
1167C22⋊Q8—44no—
1168C22⋊Q8—44no—
1169C22⋊Q8—44no—
1170C22⋊Q8—44no—
1171#121—44no—
1172#121—42no—
1173#121—42no—
1174C4×Q8—44no—
1175C4×D4—28no—
1176C4×D4—44no—
1177C4×D4—44no—
1178#117—44no—
1179#117—44no—
1180#117—44no—
1181C2×C4⋊C4—24no—
1182C2×C4⋊C4—24no—
1183C2×C4⋊C4—24no—
1184C2×C4⋊C4—44no—
1185C2×C4⋊C4—42no—
1186C2×C4⋊C4—42no—
1187C2×C4⋊C4—42no—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2412yes—
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2412yes—
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2412yes—
1194C2×C4⋊C4C2412yes—
1195C2×C4⋊C4C2412yes—
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1212C2×C4⋊C4C2411yescharacteristic
1213C2×C4⋊C4C2411yescharacteristic
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2411yescharacteristic
1216C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2411yescharacteristic
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2411yescharacteristic
1234C2×C4⋊C4C2411yescharacteristic
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2411yescharacteristic
1238C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊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×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×C42—42no—
1354C2×C42C2412yes—
1355C2×C42C2412yes—
1356C2×C42C2412yes—
1357C2×C42C2412yes—
1358C2×C42C2412yes—
1359C2×C42C2412yes—
1360C2×C42C2412yes—
1361C2×C42C2412yes—
1362C2×C42C2412yes—
1363C2×C42C2412yes—
1364C2×C42C2412yes—
1365C2×C42C2412yes—
1366C2×C42C2412yes—
1367C2×C42C2412yes—
1368C2×C42C2412yes—
1369C2×C42C2412yes—
1370C2×C42C2412yes—
1371C2×C42C2412yes—
1372C2×C42C2412yes—
1373C2×C42C2412yes—
1374C2×C42C2411yescharacteristic
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2411yescharacteristic
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2411yescharacteristic
1382C2×C42C2412yes—
1383C2×C42C2411yescharacteristic
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#95C2411yescharacteristic
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#95C2411yescharacteristic
1424#95C2411yescharacteristic
1425#95C2411yescharacteristic
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#95C2411yescharacteristic
1458#95C2412yes—
1459#95C2412yes—
1460#95C2411yescharacteristic
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2411yescharacteristic
1466#95C2411yescharacteristic
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—
1508C24C2512yes—
1509C24C2512yes—
1510C24C2511yescharacteristic
1511C2×Q8—24no—
1512C2×Q8—42no—
1513C2×Q8—42no—
1514C2×Q8—41no—
1515C2×Q8—41no—
1516C2×Q8—41no—
1517C2×Q8—41no—
1518C2×Q8—42no—
1519C2×Q8—42no—
1520C2×Q8—42no—
1521C2×Q8—41no—
1522C2×Q8—41no—
1523C2×D4—24no—
1524C2×D4—24no—
1525C2×D4—42no—
1526C2×D4—42no—
1527C2×D4—42no—
1528C2×D4—42no—
1529C2×D4—42no—
1530C2×D4—42no—
1531C2×D4—42no—
1532C2×D4—41no—
1533C2×D4—41no—
1534C2×D4—42no—
1535C2×D4—42no—
1536C2×D4—42no—
1537C2×D4—41no—
1538C2×D4—42no—
1539C2×D4—41no—
1540C22×C4—22no—
1541C22×C4—22no—
1542C22×C4—22no—
1543C22×C4—22no—
1544C22×C4—22no—
1545C22×C4—22no—
1546C22×C4—24no—
1547C22×C4—42no—
1548C22×C4—41no—
1549C22×C4—41no—
1550C22×C4—42no—
1551C22×C4—42no—
1552C22×C4—42no—
1553C22×C4—42no—
1554C22×C4—42no—
1555C22×C4—42no—
1556C22×C4—41no—
1557C22×C4—41no—
1558C22×C4—42no—
1559C22×C4—42no—
1560C22×C4—41no—
1561C22×C4—41no—
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×C4H(5,𝔽2)14yes—
1575C22×C4C2512yes—
1576C22×C4C2512yes—
1577C22×C4C2512yes—
1578C22×C4C2512yes—
1579C22×C4C2512yes—
1580C22×C4C2512yes—
1581C22×C4C2512yes—
1582C22×C4C2512yes—
1583C22×C4C2512yes—
1584C22×C4C2512yes—
1585C22×C4C2512yes—
1586C22×C4C2512yes—
1587C22×C4C2512yes—
1588C22×C4C2511yescharacteristic
1589C22×C4C2511yescharacteristic
1590C22×C4C2512yes—
1591C22×C4C2512yes—
1592C22×C4C2512yes—
1593C22×C4C2512yes—
1594C22×C4C2512yes—
1595C22×C4C2512yes—
1596C22×C4C2512yes—
1597C22×C4C2512yes—
1598C22×C4C2512yes—
1599C22×C4C2512yes—
1600C22×C4C2511yescharacteristic
1601C22×C4C2511yescharacteristic
1602C22×C4C2511yescharacteristic
1603C22×C4C2512yes—
1604C22×C4C2511yescharacteristic
1605C22×C4C2512yes—
1606C22×C4C2512yes—
1607C4⋊C4—24no—
1608C4⋊C4—24no—
1609C4⋊C4—24no—
1610C4⋊C4—24no—
1611C4⋊C4—24no—
1612C4⋊C4—24no—
1613C4⋊C4—24no—
1614C4⋊C4—24no—
1615C4⋊C4—24no—
1616C4⋊C4—24no—
1617C4⋊C4—24no—
1618C4⋊C4—24no—
1619C4⋊C4—24no—
1620C4⋊C4—24no—
1621C4⋊C4—24no—
1622C4⋊C4—24no—
1623C4⋊C4—24no—
1624C4⋊C4—24no—
1625C4⋊C4—24no—
1626C4⋊C4—24no—
1627C4⋊C4—24no—
1628C4⋊C4—42no—
1629C4⋊C4—42no—
1630C4⋊C4—42no—
1631C4⋊C4—42no—
1632C4⋊C4—42no—
1633C4⋊C4—42no—
1634C4⋊C4—41no—
1635C4⋊C4—41no—
1636C4⋊C4—41no—
1637C4⋊C4—41no—
1638C4⋊C4—42no—
1639C4⋊C4—42no—
1640C4⋊C4—42no—
1641C4⋊C4—42no—
1642C4⋊C4—42no—
1643C4⋊C4—42no—
1644C4⋊C4—42no—
1645C4⋊C4—42no—
1646C4⋊C4—42no—
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—42no—
1662C4⋊C4—42no—
1663C4⋊C4—42no—
1664C4⋊C4—42no—
1665C4⋊C4—42no—
1666C4⋊C4—42no—
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—41no—
1679C4⋊C4—42no—
1680C4⋊C4—41no—
1681C4⋊C4—42no—
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—41no—
1691C4⋊C4—41no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—41no—
1695C4⋊C4—42no—
1696C4⋊C4—41no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C22⋊C4—24no—
1715C22⋊C4—24no—
1716C22⋊C4—24no—
1717C22⋊C4—24no—
1718C22⋊C4—24no—
1719C22⋊C4—24no—
1720C22⋊C4—24no—
1721C22⋊C4—24no—
1722C22⋊C4—24no—
1723C22⋊C4—24no—
1724C22⋊C4—24no—
1725C22⋊C4—24no—
1726C22⋊C4—42no—
1727C22⋊C4—42no—
1728C22⋊C4—42no—
1729C22⋊C4—42no—
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—
1772C42—24no—
1773C42—24no—
1774C42—42no—
1775C42—42no—
1776C42—41no—
1777C42—42no—
1778C42—42no—
1779C42—42no—
1780C42—42no—
1781C42—42no—
1782C42—41no—
1783C42—42no—
1784C42—42no—
1785C42—41no—
1786C42—41no—
1787C42—42no—
1788C42—42no—
1789C42—42no—
1790C42—42no—
1791C42—42no—
1792C42—42no—
1793C42—42no—
1794C42—42no—
1795C42—42no—
1796C42—42no—
1797C42—42no—
1798C42—42no—
1799C42—42no—
1800C42—42no—
1801C42—42no—
1802C23—22no—
1803C23—21no—
1804C23—21no—
1805C23—22no—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—22no—
1818C23—22no—
1819C23—22no—
1820C23C2×H(5,𝔽2)12yes—
1821C23C2611yescharacteristic
1822Q8—84no—
1823Q8—161no—
1824Q8—161no—
1825Q8—161no—
1826Q8—161no—
1827D4—84no—
1828D4—84no—
1829D4—84no—
1830D4—162no—
1831D4—161no—
1832D4—161no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—21no—
1844C2×C4—21no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—22no—
1857C2×C4—22no—
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—22no—
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—22no—
1886C2×C4—22no—
1887C2×C4—21no—
1888C2×C4—21no—
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—21no—
1906C2×C4—21no—
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—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—44no—
1924C2×C4—44no—
1925C2×C4—44no—
1926C2×C4—84no—
1927C2×C4—82no—
1928C2×C4—82no—
1929C2×C4—82no—
1930C2×C4—82no—
1931C2×C4—84no—
1932C2×C4—162no—
1933C2×C4—162no—
1934C2×C4—162no—
1935C2×C4—162no—
1936C2×C4C2×H(5,𝔽2)14yes—
1937C2×C4#58514yes—
1938C22—22no—
1939C22—22no—
1940C22—22no—
1941C22—42no—
1942C22—42no—
1943C22—42no—
1944C22—42no—
1945C22—42no—
1946C22—42no—
1947C22—42no—
1948C22—42no—
1949C22—42no—
1950C22—42no—
1951C22—42no—
1952C22—42no—
1953C22—42no—
1954C22—42no—
1955C22—42no—
1956C22—42no—
1957C22C22×H(5,𝔽2)11yescharacteristic
1958C22C2×#58512yes—
1959C222−1+611yescharacteristic
1960C222−1+612yes—
1961C222−1+611yescharacteristic
1962C4—24no—
1963C4—24no—
1964C4—42no—
1965C4—42no—
1966C4—42no—
1967C4—42no—
1968C4—42no—
1969C4—42no—
1970C4—42no—
1971C4—42no—
1972C4—42no—
1973C4—42no—
1974C4—42no—
1975C4—42no—
1976C4—41no—
1977C4—41no—
1978C4—41no—
1979C4—41no—
1980C4—42no—
1981C4—42no—
1982C4—42no—
1983C4—42no—
1984C4—42no—
1985C4—42no—
1986C4—42no—
1987C4—42no—
1988C4—42no—
1989C4—42no—
1990C4—42no—
1991C4—41no—
1992C4—41no—
1993C4—42no—
1994C2—42no—
1995C2—82no—
1996C2—82no—
1997C2#6282211yescharacteristic
1998C2#6288611yescharacteristic
1999C2#6288711yescharacteristic
2000C2#6306212yes—
2001C2#6306812yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#53488C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #57924C2semidirect
2. #57803C2semidirect
3. #56233C2semidirect
4. #55998C2semidirect
5. #55891C2semidirect
6. #55827C2semidirect
7. #55824C2semidirect
8. #55770C2semidirect
9. #55611C2semidirect
10. #55610C2semidirect
11. #53692C2semidirect
12. #53590C2semidirect
14. #53487C2semidirect
15. #51462C2semidirect
16. #51407C2semidirect
17. #51244C2semidirect
18. #50249C2semidirect
19. #50216C2semidirect
20. #49129C2semidirect
21. #46822C2semidirect
22. #46403C2semidirect
23. #46383C2semidirect
24. #46192C2semidirect
25. #46187C2semidirect
26. #46175C2semidirect
27. #45910C2semidirect
28. #45858C2semidirect
29. #45850C2semidirect
30. #37131C2semidirect
31. #37120C2semidirect
32. #36994C2semidirect
33. #36959C2semidirect
34. #35653C2semidirect
35. #35468C2semidirect

Maximal subgroups

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

subgroupindex
#579242
#578032
#562332
#559982
#558912
#558272
#558242
#557702
#556112
#556102
#536922
#535902
#534882
#534872
#514622
#514072
#512442
#502492
#502162
#491292
#468222
#464032
#463832
#461922
#461872
#461752
#459102
#458582
#458502
#371312
#371202
#369942
#369592
#356532
#354682