Finite Group Databasebeta

← #9243664

Subgroups — #9243664

Order 512.

4143 conjugacy classes of subgroups.

The subgroup lattice has 2045 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59257C211yesmaximal, characteristic, complemented
2#58429C212yesmaximal, complemented
3#58413C212yesmaximal, complemented
4#58044C212yesmaximal, complemented
5#57722C212yesmaximal, complemented
6#56682C212yesmaximal, complemented
7#56128C212yesmaximal, complemented
8#56078C212yesmaximal, complemented
9#55917C212yesmaximal, complemented
10#55385C212yesmaximal, complemented
11#54477C212yesmaximal, complemented
12#53767C212yesmaximal, complemented
13#53753C212yesmaximal, complemented
14#52568C212yesmaximal, complemented
15#51584C212yesmaximal, complemented
16#51284C212yesmaximal, complemented
17#50673C212yesmaximal, complemented
18#50518C212yesmaximal, complemented
19#49008C212yesmaximal, complemented
20#48325C212yesmaximal, complemented
21#47974C212yesmaximal, complemented
22#47875C212yesmaximal, complemented
23#47083C212yesmaximal, complemented
24#46784C212yesmaximal, complemented
25#45787C211yesmaximal, characteristic, complemented
26#43221C212yesmaximal, complemented
27#42348C212yesmaximal, complemented
28#41302C212yesmaximal, complemented
29#40636C212yesmaximal, complemented
30#40516C212yesmaximal, complemented
31#39734C211yesmaximal, characteristic, complemented
32#39610C211yesmaximal, characteristic, complemented
33#39453C211yesmaximal, characteristic
34#37896C211yesmaximal, characteristic, complemented
35#37466C211yesmaximal, characteristic, complemented
36C2×#563C2212yes—
37C2×#554C2212yes—
38C2×#539C2212yes—
39#2857C2211yescharacteristic
40#2854C2211yescharacteristic
41#2845C2212yes—
42#2843C2212yes—
43#2843C2212yes—
44#2843C2212yes—
45#2841C2212yes—
46#2839C2212yes—
47#2839C2212yes—
48#2839C2212yes—
49#2839C2212yes—
50#2838C2212yes—
51#2836C2212yes—
52#2833C2212yes—
53#2833C2212yes—
54#2833C2212yes—
55#2833C2212yes—
56#2827C2212yes—
57#2827C2212yes—
58#2822C2212yes—
59#2814C2212yes—
60#2807C2212yes—
61#2802C2212yes—
62#2802C2212yes—
63#2796C2212yes—
64#2793C2212yes—
65#2792C2212yes—
66#2791C2212yes—
67#2791C2212yes—
68#2790C2212yes—
69#2790C2212yes—
70#2790C2212yes—
71#2789C2212yes—
72#2788C2212yes—
73#2781C2212yes—
74#2780C2212yes—
75#2780C2212yes—
76#2780C2212yes—
77#2778C2212yes—
78#2777C2212yes—
79#2776C2212yes—
80#2776C2212yes—
81#2776C2212yes—
82#2775C2212yes—
83#2775C2212yes—
84#2774C2212yes—
85#2774C2212yes—
86#2774C2212yes—
87#2773C2212yes—
88#2772C2212yes—
89#2771C2212yes—
90#2770C2212yes—
91#2770C2212yes—
92#2770C2212yes—
93#2770C2212yes—
94#2769C2212yes—
95#2768C2212yes—
96#2768C2212yes—
97#2767C2212yes—
98#2766C2212yes—
99#2766C2212yes—
100#2766C2212yes—
101#2766C2212yes—
102#2766C2212yes—
103#2766C2212yes—
104#2765C2212yes—
105#2765C2212yes—
106#2765C2212yes—
107#2764C2212yes—
108#2762C2212yes—
109#2762C2212yes—
110#2761C2212yes—
111#2761C2212yes—
112#2760C2212yes—
113#2758C2212yes—
114#2756C2212yes—
115#2755C2212yes—
116#2750C2212yes—
117#2750C2212yes—
118#2750C2212yes—
119#2749C2212yes—
120#2749C2212yes—
121#2747C2212yes—
122#2747C2212yes—
123#2746C2212yes—
124#2746C2212yes—
125#2746C2212yes—
126#2744C2212yes—
127#2744C2212yes—
128#2743C2212yes—
129#2742C2212yes—
130#2740C2212yes—
131#2738C2212yes—
132#2738C2212yes—
133#2738C2212yes—
134#2738C2212yes—
135#2734C2212yes—
136#2734C2211yescharacteristic
137#2732C2211yescharacteristic
138#2732C2211yescharacteristic
139#2732C2212yes—
140#2732C2211yescharacteristic
141#2728C2212yes—
142#2728C2212yes—
143#2727C2211yescharacteristic
144#2726C2212yes—
145#2726C2211yescharacteristic
146#2726C2211yescharacteristic
147#2725C2212yes—
148#2725C2212yes—
149#2722C2212yes—
150#2722C2212yes—
151#2722C2212yes—
152#2721C2212yes—
153#2720C2212yes—
154#2720C2212yes—
155#2720C2212yes—
156#2719C2212yes—
157#2719C2212yes—
158#2717C2212yes—
159#2713C2212yes—
160#2713C2212yes—
161#2713C2212yes—
162#2713C2212yes—
163#2708C2212yes—
164#2704C2212yes—
165#2700C2212yes—
166#2698C2212yes—
167#2698C2212yes—
168#2698C2212yes—
169#2695C2212yes—
170#2695C2212yes—
171#2692C2212yes—
172#2690C2212yes—
173#2690C2212yes—
174#2689C2212yes—
175#2689C2212yes—
176#2689C2212yes—
177#2689C2212yes—
178#2689C2212yes—
179#2687C2212yes—
180#2687C2212yes—
181#2683C2212yes—
182#2683C2212yes—
183#2682C2211yescharacteristic
184#2680C2212yes—
185#2680C2212yes—
186#2677C2212yes—
187#2677C2212yes—
188#2677C2212yes—
189#2677C2212yes—
190#2672C2212yes—
191#2671C2212yes—
192#2667C2212yes—
193#2667C2212yes—
194#2667C2212yes—
195#2666C2212yes—
196#2666C2212yes—
197#2666C2212yes—
198#2666C2212yes—
199#2666C2212yes—
200#2664C2212yes—
201#2659C2211yescharacteristic
202#2659C2211yescharacteristic
203#2659C2211yescharacteristic
204#2655C2212yes—
205#2655C2212yes—
206#2655C2212yes—
207#2652C2212yes—
208#2650C2212yes—
209#2649C2212yes—
210#2646C2211yescharacteristic
211#2646C2211yescharacteristic
212#2637C2212yes—
213#2637C2212yes—
214#2634C2212yes—
215#2630C2212yes—
216#2627C2212yes—
217#2627C2212yes—
218#2627C2211yescharacteristic
219#2627C2212yes—
220#2627C2212yes—
221#2627C2211yescharacteristic
222#2621C2212yes—
223#2618C2211yescharacteristic
224#2608C2212yes—
225#2598C2212yes—
226#2597C2212yes—
227#2594C2212yes—
228#2594C2212yes—
229#2590C2212yes—
230#2589C2212yes—
231#2587C2212yes—
232#2586C2212yes—
233#2585C2212yes—
234#2585C2212yes—
235#2583C2212yes—
236#2579C2212yes—
237#2577C2212yes—
238#2577C2212yes—
239#2576C2212yes—
240#2576C2212yes—
241#2573C2212yes—
242#2573C2212yes—
243#2573C2212yes—
244#2572C2212yes—
245#2571C2211yescharacteristic
246#2571C2211yescharacteristic
247#2570C2212yes—
248#2566C2212yes—
249#2565C2212yes—
250#2564C2212yes—
251#2564C2212yes—
252#2560C2212yes—
253#2560C2212yes—
254#2558C2212yes—
255#2556C2212yes—
256#2553C2212yes—
257#2553C2212yes—
258#2553C2212yes—
259#2553C2212yes—
260#2550C2212yes—
261#2550C2212yes—
262#2549C2212yes—
263#2546C2211yescharacteristic
264#2538C2211yescharacteristic
265#2536C2212yes—
266#2525C2212yes—
267#2525C2212yes—
268#2524C2212yes—
269#2524C2212yes—
270#2524C2212yes—
271#2522C2212yes—
272#2521C2212yes—
273#2519C2212yes—
274#2519C2212yes—
275#2517C2212yes—
276#2516C2212yes—
277#2515C2212yes—
278#2514C2212yes—
279#2510C2212yes—
280#2509C2212yes—
281#2508C2212yes—
282#2507C2212yes—
283#2507C2212yes—
284#2506C2212yes—
285#2505C2212yes—
286#2505C2212yes—
287#2503C2212yes—
288#2496C2212yes—
289#2495C2212yes—
290#2495C2212yes—
291#2495C2212yes—
292#2494C2212yes—
293#2493C2212yes—
294#2493C2212yes—
295#2493C2212yes—
296#2493C2212yes—
297#2493C2212yes—
298#2493C2212yes—
299#2488C2212yes—
300#2488C2212yes—
301#2486C2212yes—
302#2484C2212yes—
303#2481C2212yes—
304#2481C2212yes—
305#2481C2212yes—
306#2479C2212yes—
307#2473C2212yes—
308#2473C2212yes—
309#2473C2212yes—
310#2473C2212yes—
311#2468C2212yes—
312#2468C2212yes—
313#2467C2212yes—
314#2466C2212yes—
315#2466C2212yes—
316#2465C2212yes—
317#2465C2212yes—
318#2464C2212yes—
319#2462C2212yes—
320#2462C2212yes—
321#2461C2212yes—
322#2457C2212yes—
323#2453C2212yes—
324#2449C2212yes—
325#2449C2212yes—
326#2449C2212yes—
327#2449C2212yes—
328#2446C2212yes—
329#2444C2212yes—
330#2444C2212yes—
331#2444C2212yes—
332#2443C2212yes—
333#2440C2212yes—
334#2440C2212yes—
335#2440C2212yes—
336#2440C2212yes—
337#2438C2212yes—
338#2438C2212yes—
339#2429C2212yes—
340#2429C2212yes—
341#2429C2212yes—
342#2427C2212yes—
343#2420C2212yes—
344#2419C2212yes—
345#2419C2212yes—
346#2419C2212yes—
347#2417C2212yes—
348#2417C2212yes—
349#2415C2212yes—
350#2413C2212yes—
351#2396C2212yes—
352C2×#398C2212yes—
353#2382C2212yes—
354#2377C2212yes—
355#2368C2212yes—
356#2365C2211yescharacteristic
357#2361C2212yes—
358#2359C2212yes—
359#2357C2212yes—
360#2355C2211yescharacteristic
361#2355C2211yescharacteristic
362#2352C2212yes—
363#2352C2212yes—
364D4×C4⋊C4C2211yescharacteristic
365#2333C2212yes—
366#2332C2212yes—
367#2325C2211yescharacteristic
368#2325C2211yescharacteristic
369#2325C2211yescharacteristic
370#2323C2212yes—
371#2318C2212yes—
372#2318C2212yes—
373#2313C2211yescharacteristic
374C4×C22⋊Q8C2211yescharacteristic
375C4×C22⋊Q8C2211yescharacteristic
376C4×#121C2211yescharacteristic
377C2×#387C2211yescharacteristic
378#2285C2211yescharacteristic
379#563—48no—
380#554—48no—
381#539—48no—
382C2×C4⋊Q8C2311yescharacteristic
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#124C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2312yes—
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×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×#121C2311yescharacteristic
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C22×C4⋊C4C2311yescharacteristic
446C22×C4⋊C4C2311yescharacteristic
447C22×C4⋊C4C2312yes—
448C22×C4⋊C4C2312yes—
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2312yes—
451C22×C4⋊C4C2312yes—
452C22×C42C2311yescharacteristic
453#401C2312yes—
454#401C2312yes—
455#401C2312yes—
456#401C2312yes—
457#401C2312yes—
458#401C2312yes—
459#401C2312yes—
460#400C2312yes—
461#400C2312yes—
462#400C2312yes—
463#400C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
597#398C2312yes—
598#398C2312yes—
599#398C2312yes—
600#398C2312yes—
601#398C2312yes—
602#398C2312yes—
603#398C2312yes—
604#398C2312yes—
605#398C2312yes—
606#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#397C2312yes—
624#397C2312yes—
625#397C2312yes—
626#397C2312yes—
627#397C2312yes—
628#397C2312yes—
629#397C2312yes—
630#397C2312yes—
631#397C2312yes—
632#397C2312yes—
633#397C2312yes—
634#397C2312yes—
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#396C2312yes—
653#396C2312yes—
654#396C2312yes—
655#396C2312yes—
656#396C2312yes—
657#396C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2312yes—
664#395C2312yes—
665#395C2312yes—
666#395C2312yes—
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
670#395C2312yes—
671#395C2312yes—
672#395C2312yes—
673#395C2312yes—
674#395C2312yes—
675#395C2312yes—
676#395C2312yes—
677#395C2312yes—
678#395C2312yes—
679#395C2312yes—
680#395C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#392C2312yes—
700#392C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2311yescharacteristic
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2311yescharacteristic
717#391C2312yes—
718#390C2311yescharacteristic
719#390C2312yes—
720#390C2312yes—
721#390C2312yes—
722#390C2311yescharacteristic
723#390C2311yescharacteristic
724#390C2312yes—
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#389C2311yescharacteristic
743#389C2312yes—
744#389C2311yescharacteristic
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2311yescharacteristic
757#389C2311yescharacteristic
758#389C2311yescharacteristic
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2311yescharacteristic
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#389C2311yescharacteristic
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#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#386C2312yes—
917#386C2312yes—
918#386C2312yes—
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#385C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#384C2312yes—
987#384C2312yes—
988#384C2311yescharacteristic
989#384C2311yescharacteristic
990#384C2311yescharacteristic
991#384C2312yes—
992#383C2312yes—
993#383C2312yes—
994#383C2312yes—
995#383C2312yes—
996#383C2312yes—
997#383C2312yes—
998#383C2312yes—
999#383C2312yes—
1000#383C2312yes—
1001#383C2312yes—
1002#383C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#381C2312yes—
1018#381C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#381C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2311yescharacteristic
1037#380C2311yescharacteristic
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2311yescharacteristic
1042#380C2312yes—
1043#380C2311yescharacteristic
1044#380C2311yescharacteristic
1045#380C2312yes—
1046#380C2312yes—
1047#380C2311yescharacteristic
1048#380C2312yes—
1049#380C2311yescharacteristic
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2311yescharacteristic
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2311yescharacteristic
1067C4×C4⋊C4C2311yescharacteristic
1068C4×C4⋊C4C2311yescharacteristic
1069C4×C4⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2311yescharacteristic
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×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—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C2×#95C2311yescharacteristic
1095C2×#95C2311yescharacteristic
1096C2×#95C2312yes—
1097C2×#95C2311yescharacteristic
1098C2×#95C2311yescharacteristic
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C22×Q8C2411yescharacteristic
1102C22×Q8C2411yescharacteristic
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2412yes—
1106C22×Q8C2412yes—
1107C22×D4C2412yes—
1108C22×D4C2412yes—
1109C22×D4C2412yes—
1110C22×D4C2412yes—
1111C22×D4C2411yescharacteristic
1112C22×D4C2411yescharacteristic
1113C23×C4C2412yes—
1114C23×C4C2411yescharacteristic
1115C23×C4C2412yes—
1116C23×C4C2412yes—
1117C23×C4C2411yescharacteristic
1118C23×C4C2412yes—
1119C23×C4C2411yescharacteristic
1120C23×C4C2411yescharacteristic
1121C23×C4C2412yes—
1122C23×C4C2412yes—
1123C23×C4C2412yes—
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2411yescharacteristic
1128C23×C4C2411yescharacteristic
1129C23×C4C2411yescharacteristic
1130C4⋊Q8—42no—
1131C4⋊Q8—44no—
1132C4⋊Q8—44no—
1133C4⋊Q8—44no—
1134C4⋊Q8—82no—
1135#126—44no—
1136#126—44no—
1137#126—44no—
1138#126—44no—
1139#126—44no—
1140#126—44no—
1141#126—82no—
1142#125—44no—
1143#125—44no—
1144#125—44no—
1145#125—44no—
1146#125—44no—
1147#125—44no—
1148#125—44no—
1149#124—44no—
1150#123—28no—
1151#123—44no—
1152#123—44no—
1153#123—44no—
1154#123—44no—
1155#123—82no—
1156C22⋊Q8—24no—
1157C22⋊Q8—28no—
1158C22⋊Q8—24no—
1159C22⋊Q8—44no—
1160C22⋊Q8—44no—
1161C22⋊Q8—44no—
1162C22⋊Q8—44no—
1163C22⋊Q8—44no—
1164C22⋊Q8—44no—
1165C22⋊Q8—44no—
1166C22⋊Q8—44no—
1167C22⋊Q8—44no—
1168C22⋊Q8—44no—
1169C22⋊Q8—44no—
1170C22⋊Q8—82no—
1171C22⋊Q8—82no—
1172C22⋊Q8—82no—
1173C22⋊Q8—82no—
1174C22⋊Q8—82no—
1175#121—24no—
1176#121—28no—
1177#121—42no—
1178#121—44no—
1179C4×Q8—42no—
1180C4×Q8—42no—
1181C4×Q8—44no—
1182C4×Q8—82no—
1183C4×D4—28no—
1184C4×D4—28no—
1185C4×D4—42no—
1186C4×D4—44no—
1187C4×D4—44no—
1188C4×D4—44no—
1189C4×D4—44no—
1190C4×D4—82no—
1191#117—82no—
1192#117—82no—
1193C2×C4⋊C4—24no—
1194C2×C4⋊C4—42no—
1195C2×C4⋊C4—44no—
1196C2×C4⋊C4—44no—
1197C2×C4⋊C4—82no—
1198C2×C4⋊C4—82no—
1199C2×C4⋊C4—82no—
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⋊C4C2411yescharacteristic
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2411yescharacteristic
1218C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2411yescharacteristic
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2411yescharacteristic
1248C2×C4⋊C4C2412yes—
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⋊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⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2411yescharacteristic
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2411yescharacteristic
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊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×C42—42no—
1365C2×C42C2412yes—
1366C2×C42C2412yes—
1367C2×C42C2411yescharacteristic
1368C2×C42C2412yes—
1369C2×C42C2411yescharacteristic
1370C2×C42C2412yes—
1371C2×C42C2412yes—
1372C2×C42C2412yes—
1373C2×C42C2412yes—
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2411yescharacteristic
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2411yescharacteristic
1390C2×C42C2412yes—
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—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515C24C2512yes—
1516C24C2511yescharacteristic
1517C24C2512yes—
1518C2×Q8—22no—
1519C2×Q8—22no—
1520C2×Q8—24no—
1521C2×Q8—42no—
1522C2×Q8—41no—
1523C2×Q8—41no—
1524C2×Q8—42no—
1525C2×Q8—41no—
1526C2×Q8—42no—
1527C2×Q8—41no—
1528C2×Q8—42no—
1529C2×Q8—42no—
1530C2×Q8—42no—
1531C2×Q8—42no—
1532C2×Q8—42no—
1533C2×Q8—42no—
1534C2×Q8—42no—
1535C2×Q8—42no—
1536C2×D4—24no—
1537C2×D4—24no—
1538C2×D4—24no—
1539C2×D4—24no—
1540C2×D4—24no—
1541C2×D4—41no—
1542C2×D4—41no—
1543C2×D4—42no—
1544C2×D4—42no—
1545C2×D4—42no—
1546C2×D4—42no—
1547C2×D4—42no—
1548C2×D4—42no—
1549C2×D4—42no—
1550C2×D4—41no—
1551C2×D4—41no—
1552C2×D4—41no—
1553C2×D42−1+414yes—
1554C22×C4—22no—
1555C22×C4—22no—
1556C22×C4—24no—
1557C22×C4—24no—
1558C22×C4—24no—
1559C22×C4—24no—
1560C22×C4—22no—
1561C22×C4—22no—
1562C22×C4—41no—
1563C22×C4—41no—
1564C22×C4—41no—
1565C22×C4—42no—
1566C22×C4—42no—
1567C22×C4—41no—
1568C22×C4—42no—
1569C22×C4—42no—
1570C22×C4—42no—
1571C22×C4—42no—
1572C22×C4—42no—
1573C22×C4—41no—
1574C22×C4—41no—
1575C22×C4—41no—
1576C22×C4—41no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—42no—
1580C22×C4—42no—
1581C22×C4—42no—
1582C22×C4—42no—
1583C22×C4—42no—
1584C22×C4—41no—
1585C22×C4—41no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—41no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—42no—
1592C22×C4—42no—
1593C22×C4—42no—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—41no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—41no—
1601C22×C4—41no—
1602C22×C4—41no—
1603C22×C4—41no—
1604C22×C4H(5,𝔽2)14yes—
1605C22×C4C2512yes—
1606C22×C4C2511yescharacteristic
1607C22×C4C2511yescharacteristic
1608C22×C4C2512yes—
1609C22×C4C2512yes—
1610C22×C4C2512yes—
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2512yes—
1620C22×C4C2512yes—
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2511yescharacteristic
1634C22×C4C2511yescharacteristic
1635C22×C4C2511yescharacteristic
1636C22×C4C2511yescharacteristic
1637C4⋊C4—24no—
1638C4⋊C4—24no—
1639C4⋊C4—24no—
1640C4⋊C4—24no—
1641C4⋊C4—24no—
1642C4⋊C4—24no—
1643C4⋊C4—24no—
1644C4⋊C4—24no—
1645C4⋊C4—24no—
1646C4⋊C4—22no—
1647C4⋊C4—22no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—22no—
1651C4⋊C4—24no—
1652C4⋊C4—24no—
1653C4⋊C4—24no—
1654C4⋊C4—24no—
1655C4⋊C4—42no—
1656C4⋊C4—42no—
1657C4⋊C4—42no—
1658C4⋊C4—42no—
1659C4⋊C4—42no—
1660C4⋊C4—41no—
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—41no—
1673C4⋊C4—41no—
1674C4⋊C4—41no—
1675C4⋊C4—41no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—41no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
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—41no—
1690C4⋊C4—42no—
1691C4⋊C4—41no—
1692C4⋊C4—42no—
1693C4⋊C4—41no—
1694C4⋊C4—41no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—41no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—41no—
1710C4⋊C4—41no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—41no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—41no—
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—
1744C4⋊C4—42no—
1745C4⋊C4—41no—
1746C4⋊C4—41no—
1747C22⋊C4—24no—
1748C22⋊C4—24no—
1749C22⋊C4—24no—
1750C22⋊C4—24no—
1751C22⋊C4—24no—
1752C22⋊C4—24no—
1753C22⋊C4—24no—
1754C22⋊C4—24no—
1755C22⋊C4—24no—
1756C22⋊C4—24no—
1757C22⋊C4—24no—
1758C22⋊C4—24no—
1759C22⋊C4—24no—
1760C22⋊C4—24no—
1761C22⋊C4—24no—
1762C22⋊C4—24no—
1763C22⋊C4—42no—
1764C22⋊C4—42no—
1765C22⋊C4—42no—
1766C22⋊C4—42no—
1767C22⋊C4—42no—
1768C22⋊C4—42no—
1769C22⋊C4—42no—
1770C22⋊C4—42no—
1771C22⋊C4—42no—
1772C22⋊C4—42no—
1773C22⋊C4—42no—
1774C22⋊C4—42no—
1775C22⋊C4—42no—
1776C22⋊C4—42no—
1777C22⋊C4—42no—
1778C22⋊C4—42no—
1779C22⋊C4—42no—
1780C22⋊C4—42no—
1781C22⋊C4—42no—
1782C22⋊C4—42no—
1783C22⋊C4—42no—
1784C22⋊C4—42no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C42—24no—
1802C42—24no—
1803C42—22no—
1804C42—22no—
1805C42—24no—
1806C42—41no—
1807C42—41no—
1808C42—42no—
1809C42—42no—
1810C42—42no—
1811C42—42no—
1812C42—42no—
1813C42—42no—
1814C42—42no—
1815C42—42no—
1816C42—42no—
1817C42—42no—
1818C42—42no—
1819C42—42no—
1820C42—42no—
1821C42—42no—
1822C42—42no—
1823C42—42no—
1824C42—42no—
1825C42—42no—
1826C42—42no—
1827C23—22no—
1828C23—21no—
1829C23—22no—
1830C23—21no—
1831C23—22no—
1832C23—21no—
1833C23—22no—
1834C23—21no—
1835C23—21no—
1836C23—22no—
1837C23—22no—
1838C23—21no—
1839C23—22no—
1840C23—22no—
1841C23—22no—
1842C23—22no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23C2×H(5,𝔽2)12yes—
1847C23C2×2−1+414yes—
1848C23C2611yescharacteristic
1849Q8—82no—
1850Q8—82no—
1851Q8—84no—
1852Q8—84no—
1853Q8—162no—
1854Q8—162no—
1855D4—44no—
1856D4—48no—
1857D4—84no—
1858D4—84no—
1859D4—84no—
1860D4—161no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—21no—
1867C2×C4—21no—
1868C2×C4—21no—
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—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—21no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—21no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—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—21no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—21no—
1953C2×C4—44no—
1954C2×C4—82no—
1955C2×C4—82no—
1956C2×C4—84no—
1957C2×C4—84no—
1958C2×C4—84no—
1959C2×C4—82no—
1960C2×C4—82no—
1961C2×C4—84no—
1962C2×C4—84no—
1963C2×C4—84no—
1964C2×C4—161no—
1965C2×C4—161no—
1966C2×C4—162no—
1967C2×C4—162no—
1968C2×C4—162no—
1969C2×C4—162no—
1970C2×C4C2×H(5,𝔽2)12yes—
1971C2×C4C2×H(5,𝔽2)12yes—
1972C2×C4C2×2−1+412yes—
1973C2×C4#58512yes—
1974C22—24no—
1975C22—22no—
1976C22—24no—
1977C22—22no—
1978C22—24no—
1979C22—22no—
1980C22—41no—
1981C22—42no—
1982C22—41no—
1983C22—41no—
1984C22—42no—
1985C22—42no—
1986C22—41no—
1987C22—42no—
1988C22—42no—
1989C22—42no—
1990C22—42no—
1991C22—42no—
1992C22—42no—
1993C22—42no—
1994C22—42no—
1995C22C22×H(5,𝔽2)11yescharacteristic
1996C22C22×2−1+411yescharacteristic
1997C22C2×#58511yescharacteristic
1998C22H(7,𝔽2)11yescharacteristic
1999C222−1+611yescharacteristic
2000C222−1+611yescharacteristic
2001C222−1+611yescharacteristic
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—22no—
2006C4—42no—
2007C4—42no—
2008C4—42no—
2009C4—42no—
2010C4—42no—
2011C4—42no—
2012C4—42no—
2013C4—42no—
2014C4—41no—
2015C4—42no—
2016C4—42no—
2017C4—42no—
2018C4—42no—
2019C4—42no—
2020C4—42no—
2021C4—41no—
2022C4—42no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—42no—
2034C2—44no—
2035C2—42no—
2036C2—82no—
2037C2#6287311yescharacteristic
2038C2#6288811yescharacteristic
2039C2#6290411yescharacteristic
2040C2#6290511yescharacteristic
2041C2#6294211yescharacteristic
2042C2#6297711yescharacteristic
2043C2#6305811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39453C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59257C2semidirect
2. #58429C2semidirect
3. #58413C2semidirect
4. #58044C2semidirect
5. #57722C2semidirect
6. #56682C2semidirect
7. #56128C2semidirect
8. #56078C2semidirect
9. #55917C2semidirect
10. #55385C2semidirect
11. #54477C2semidirect
12. #53767C2semidirect
13. #53753C2semidirect
14. #52568C2semidirect
15. #51584C2semidirect
16. #51284C2semidirect
17. #50673C2semidirect
18. #50518C2semidirect
19. #49008C2semidirect
20. #48325C2semidirect
21. #47974C2semidirect
22. #47875C2semidirect
23. #47083C2semidirect
24. #46784C2semidirect
25. #45787C2semidirect
26. #43221C2semidirect
27. #42348C2semidirect
28. #41302C2semidirect
29. #40636C2semidirect
30. #40516C2semidirect
31. #39734C2semidirect
32. #39610C2semidirect
34. #37896C2semidirect
35. #37466C2semidirect

Maximal subgroups

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

subgroupindex
#592572
#584292
#584132
#580442
#577222
#566822
#561282
#560782
#559172
#553852
#544772
#537672
#537532
#525682
#515842
#512842
#506732
#505182
#490082
#483252
#479742
#478752
#470832
#467842
#457872
#432212
#423482
#413022
#406362
#405162
#397342
#396102
#394532
#378962
#374662