Finite Group Databasebeta

← #9523459

Subgroups — #9523459

Order 512.

4119 conjugacy classes of subgroups.

The subgroup lattice has 2049 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58966C212yesmaximal, complemented
2#58671C212yesmaximal, complemented
3#58613C212yesmaximal, complemented
4#56894C212yesmaximal, complemented
5#56701C212yesmaximal, complemented
6#56421C212yesmaximal, complemented
7#56284C212yesmaximal, complemented
8#55531C212yesmaximal, complemented
9#55487C212yesmaximal, complemented
10#55085C212yesmaximal, complemented
11#54252C212yesmaximal, complemented
12#53537C212yesmaximal, complemented
13#53216C211yesmaximal, characteristic, complemented
14#53036C212yesmaximal, complemented
15#51788C212yesmaximal, complemented
16#51748C212yesmaximal, complemented
17#50516C212yesmaximal, complemented
18#49136C212yesmaximal, complemented
19#49044C212yesmaximal, complemented
20#47822C212yesmaximal, complemented
21#46911C212yesmaximal, complemented
22#46133C211yesmaximal, characteristic
23#44583C212yesmaximal, complemented
24#43834C212yesmaximal, complemented
25#43808C212yesmaximal, complemented
26#42801C212yesmaximal, complemented
27#42374C212yesmaximal, complemented
28#41907C212yesmaximal, complemented
29#41830C212yesmaximal, complemented
30#41768C212yesmaximal, complemented
31#39678C211yesmaximal, characteristic, complemented
32#39139C211yesmaximal, characteristic, complemented
33#37755C211yesmaximal, characteristic, complemented
34#37167C211yesmaximal, characteristic, complemented
35#36763C211yesmaximal, characteristic, complemented
36C2×#562C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#544C2211yescharacteristic
39C2×#541C2212yes—
40C2×#529C2211yescharacteristic
41#2857C2211yescharacteristic
42#2855C2211yescharacteristic
43#2851C2211yescharacteristic
44#2850C2211yescharacteristic
45#2845C2212yes—
46#2845C2212yes—
47#2839C2212yes—
48#2839C2212yes—
49#2839C2212yes—
50#2839C2212yes—
51#2837C2212yes—
52#2837C2212yes—
53#2836C2212yes—
54#2832C2212yes—
55#2831C2212yes—
56#2827C2212yes—
57#2827C2212yes—
58#2827C2212yes—
59#2823C2212yes—
60#2822C2211yescharacteristic
61#2822C2212yes—
62#2822C2212yes—
63#2822C2212yes—
64#2820C2211yescharacteristic
65#2809C2211yescharacteristic
66#2806C2212yes—
67#2806C2211yescharacteristic
68#2806C2212yes—
69#2806C2211yescharacteristic
70#2805C2211yescharacteristic
71#2804C2211yescharacteristic
72#2799C2212yes—
73#2799C2212yes—
74#2799C2212yes—
75#2798C2212yes—
76#2796C2212yes—
77#2793C2212yes—
78#2793C2212yes—
79#2792C2212yes—
80#2791C2212yes—
81#2791C2212yes—
82#2791C2212yes—
83#2791C2212yes—
84#2791C2212yes—
85#2790C2212yes—
86#2790C2212yes—
87#2790C2212yes—
88#2790C2212yes—
89#2783C2212yes—
90#2781C2212yes—
91#2781C2212yes—
92#2780C2212yes—
93#2774C2212yes—
94#2774C2212yes—
95#2774C2212yes—
96#2773C2212yes—
97#2772C2212yes—
98#2768C2212yes—
99#2768C2212yes—
100#2768C2212yes—
101#2768C2212yes—
102#2768C2212yes—
103#2768C2212yes—
104#2767C2212yes—
105#2767C2212yes—
106#2767C2212yes—
107#2767C2212yes—
108#2767C2212yes—
109#2763C2212yes—
110#2763C2212yes—
111#2761C2212yes—
112#2761C2212yes—
113#2755C2212yes—
114#2755C2212yes—
115#2754C2212yes—
116#2754C2212yes—
117#2754C2212yes—
118#2753C2212yes—
119#2751C2212yes—
120#2751C2212yes—
121#2747C2212yes—
122#2744C2212yes—
123#2744C2212yes—
124#2739C2212yes—
125#2739C2212yes—
126#2732C2212yes—
127#2732C2212yes—
128#2731C2212yes—
129#2729C2212yes—
130#2729C2212yes—
131#2728C2212yes—
132#2727C2211yescharacteristic
133#2726C2212yes—
134#2726C2211yescharacteristic
135#2726C2211yescharacteristic
136#2725C2212yes—
137#2725C2212yes—
138#2724C2212yes—
139#2723C2212yes—
140#2723C2212yes—
141#2723C2212yes—
142#2722C2212yes—
143#2721C2212yes—
144#2721C2212yes—
145#2721C2212yes—
146#2721C2212yes—
147#2721C2212yes—
148#2721C2212yes—
149#2720C2212yes—
150#2720C2212yes—
151#2719C2212yes—
152#2719C2212yes—
153#2719C2212yes—
154#2719C2212yes—
155#2719C2212yes—
156#2719C2212yes—
157#2718C2212yes—
158#2718C2212yes—
159#2716C2212yes—
160#2716C2212yes—
161#2716C2212yes—
162#2716C2212yes—
163#2715C2212yes—
164#2713C2212yes—
165#2713C2212yes—
166#2713C2212yes—
167#2711C2212yes—
168#2708C2212yes—
169#2706C2212yes—
170#2704C2212yes—
171#2704C2212yes—
172#2704C2212yes—
173#2702C2212yes—
174#2702C2212yes—
175#2702C2212yes—
176#2701C2212yes—
177#2701C2212yes—
178#2698C2212yes—
179#2698C2212yes—
180#2698C2212yes—
181#2698C2212yes—
182#2698C2212yes—
183#2695C2212yes—
184#2695C2212yes—
185#2695C2212yes—
186#2694C2212yes—
187#2694C2212yes—
188#2694C2212yes—
189#2694C2212yes—
190#2692C2212yes—
191#2691C2212yes—
192#2691C2212yes—
193#2690C2212yes—
194#2690C2212yes—
195#2687C2212yes—
196#2681C2212yes—
197#2680C2212yes—
198#2680C2212yes—
199#2671C2212yes—
200#2671C2212yes—
201#2667C2212yes—
202#2664C2212yes—
203#2664C2212yes—
204#2663C2212yes—
205#2659C2211yescharacteristic
206#2654C2212yes—
207#2652C2212yes—
208#2651C2212yes—
209#2651C2212yes—
210#2651C2212yes—
211#2650C2212yes—
212#2649C2212yes—
213#2649C2212yes—
214#2647C2212yes—
215#2647C2212yes—
216#2646C2212yes—
217#2646C2211yescharacteristic
218#2639C2212yes—
219#2639C2211yescharacteristic
220#2637C2212yes—
221#2637C2212yes—
222#2636C2212yes—
223#2629C2212yes—
224#2629C2212yes—
225#2627C2211yescharacteristic
226#2625C2212yes—
227#2621C2212yes—
228#2618C2211yescharacteristic
229#2618C2211yescharacteristic
230#2612C2212yes—
231#2611C2212yes—
232#2611C2212yes—
233#2611C2212yes—
234#2609C2212yes—
235#2609C2212yes—
236#2609C2212yes—
237#2597C2212yes—
238#2596C2212yes—
239#2590C2212yes—
240#2589C2212yes—
241#2589C2212yes—
242#2589C2212yes—
243#2589C2212yes—
244#2588C2212yes—
245#2588C2212yes—
246#2585C2212yes—
247#2582C2212yes—
248#2575C2212yes—
249#2575C2212yes—
250#2575C2212yes—
251#2574C2212yes—
252#2574C2212yes—
253#2571C2212yes—
254#2570C2212yes—
255#2570C2212yes—
256#2570C2212yes—
257#2565C2212yes—
258#2565C2212yes—
259#2565C2212yes—
260#2560C2212yes—
261#2560C2212yes—
262#2559C2212yes—
263#2559C2212yes—
264#2558C2212yes—
265#2556C2212yes—
266#2554C2212yes—
267#2553C2212yes—
268#2553C2212yes—
269#2553C2212yes—
270#2553C2212yes—
271#2552C2212yes—
272#2552C2212yes—
273#2550C2212yes—
274#2549C2212yes—
275#2542C2212yes—
276#2542C2211yescharacteristic
277#2538C2211yescharacteristic
278#2536C2212yes—
279#2529C2212yes—
280#2526C2212yes—
281#2526C2212yes—
282#2522C2212yes—
283#2521C2212yes—
284#2520C2212yes—
285#2520C2212yes—
286#2520C2212yes—
287#2519C2212yes—
288#2519C2212yes—
289#2519C2212yes—
290#2517C2212yes—
291#2517C2212yes—
292#2517C2212yes—
293#2508C2212yes—
294#2508C2212yes—
295#2508C2212yes—
296#2508C2212yes—
297#2508C2212yes—
298#2507C2212yes—
299#2507C2212yes—
300#2506C2212yes—
301#2506C2212yes—
302#2505C2212yes—
303#2505C2212yes—
304#2505C2212yes—
305#2502C2212yes—
306#2500C2212yes—
307#2499C2212yes—
308#2498C2212yes—
309#2492C2212yes—
310#2490C2212yes—
311#2490C2212yes—
312#2489C2212yes—
313#2489C2212yes—
314#2488C2212yes—
315#2488C2212yes—
316#2481C2212yes—
317#2479C2212yes—
318#2479C2212yes—
319#2479C2212yes—
320#2478C2212yes—
321#2478C2212yes—
322#2478C2212yes—
323#2477C2212yes—
324#2477C2212yes—
325#2476C2212yes—
326#2475C2212yes—
327#2475C2212yes—
328#2473C2212yes—
329#2465C2212yes—
330#2460C2212yes—
331#2458C2212yes—
332#2457C2212yes—
333#2450C2212yes—
334#2450C2212yes—
335#2448C2212yes—
336#2446C2212yes—
337#2446C2212yes—
338#2446C2212yes—
339#2444C2212yes—
340#2441C2212yes—
341#2439C2212yes—
342#2438C2212yes—
343#2438C2212yes—
344#2438C2212yes—
345#2425C2212yes—
346#2423C2212yes—
347#2423C2212yes—
348#2421C2212yes—
349#2421C2212yes—
350#2419C2212yes—
351#2413C2212yes—
352#2402C2212yes—
353#2396C2212yes—
354#2395C2212yes—
355#2379C2211yescharacteristic
356#2378C2212yes—
357#2373C2212yes—
358#2373C2212yes—
359#2368C2212yes—
360#2368C2212yes—
361#2368C2212yes—
362#2363C2212yes—
363#2359C2212yes—
364#2359C2212yes—
365#2355C2212yes—
366#2355C2211yescharacteristic
367#2335C2212yes—
368#2334C2212yes—
369#2334C2212yes—
370#2331C2212yes—
371#2329C2211yescharacteristic
372#2329C2211yescharacteristic
373#2329C2211yescharacteristic
374#2329C2211yescharacteristic
375#2325C2211yescharacteristic
376#2323C2212yes—
377C4×C22⋊Q8C2211yescharacteristic
378C2×#387C2211yescharacteristic
379#562—44no—
380#557—44no—
381#544—44no—
382#541—48no—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2311yescharacteristic
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387#529—44no—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#125C2311yescharacteristic
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2311yescharacteristic
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#124C2311yescharacteristic
413C2×#124C2311yescharacteristic
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2311yescharacteristic
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×#121C2311yescharacteristic
437C2×#121C2311yescharacteristic
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2312yes—
449C2×#117C2312yes—
450C2×#117C2312yes—
451C2×#117C2312yes—
452C2×#117C2312yes—
453C2×#117C2312yes—
454C2×#117C2312yes—
455C22×C4⋊C4C2311yescharacteristic
456C22×C4⋊C4C2311yescharacteristic
457C22×C42C2311yescharacteristic
458#400C2312yes—
459#400C2312yes—
460#400C2312yes—
461#400C2312yes—
462#400C2312yes—
463#400C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#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#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#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#396C2312yes—
659#396C2312yes—
660#396C2312yes—
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#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#392C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2311yescharacteristic
731#391C2311yescharacteristic
732#391C2311yescharacteristic
733#391C2311yescharacteristic
734#391C2312yes—
735#391C2312yes—
736#390C2312yes—
737#390C2312yes—
738#390C2312yes—
739#390C2311yescharacteristic
740#390C2312yes—
741#390C2312yes—
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2311yescharacteristic
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#389C2311yescharacteristic
779#389C2311yescharacteristic
780#389C2312yes—
781#389C2311yescharacteristic
782#389C2311yescharacteristic
783#389C2312yes—
784#389C2311yescharacteristic
785#389C2311yescharacteristic
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
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#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#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
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#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#384C2312yes—
1006#384C2312yes—
1007#384C2312yes—
1008#384C2312yes—
1009#384C2312yes—
1010#384C2312yes—
1011#384C2312yes—
1012#384C2311yescharacteristic
1013#384C2312yes—
1014#382C2311yescharacteristic
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2311yescharacteristic
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#382C2312yes—
1030#382C2312yes—
1031#382C2312yes—
1032#382C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#382C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2311yescharacteristic
1045#380C2311yescharacteristic
1046#380C2311yescharacteristic
1047#380C2311yescharacteristic
1048#380C2311yescharacteristic
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2311yescharacteristic
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2311yescharacteristic
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊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—
1094C4×C22⋊C4C2312yes—
1095#376C2312yes—
1096#376C2312yes—
1097C2×#95C2311yescharacteristic
1098C2×#95C2311yescharacteristic
1099C2×#95C2311yescharacteristic
1100C2×#95C2311yescharacteristic
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C22×Q8C2411yescharacteristic
1104C22×Q8C2412yes—
1105C22×Q8C2412yes—
1106C22×Q8C2411yescharacteristic
1107C22×Q8C2412yes—
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2411yescharacteristic
1110C22×D4C2411yescharacteristic
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2411yescharacteristic
1115C22×D4C2412yes—
1116C23×C4C2411yescharacteristic
1117C23×C4C2411yescharacteristic
1118C23×C4C2411yescharacteristic
1119C23×C4C2411yescharacteristic
1120C23×C4C2412yes—
1121C23×C4C2412yes—
1122C23×C4C2411yescharacteristic
1123C23×C4C2411yescharacteristic
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2411yescharacteristic
1128C23×C4C2412yes—
1129C4⋊Q8—28no—
1130C4⋊Q8—42no—
1131C4⋊Q8—44no—
1132C4⋊Q8—44no—
1133#126—28no—
1134#126—44no—
1135#126—44no—
1136#126—44no—
1137#126—44no—
1138#126—44no—
1139#126—44no—
1140#126—82no—
1141#126—82no—
1142#126—82no—
1143#125—42no—
1144#125—44no—
1145#125—44no—
1146#125—44no—
1147#125—44no—
1148#125—44no—
1149#125—44no—
1150#125—44no—
1151#125—42no—
1152#125—44no—
1153#125—44no—
1154#125—44no—
1155#125—82no—
1156#125—82no—
1157#124—24no—
1158#124—42no—
1159#123—44no—
1160#123—44no—
1161#123—44no—
1162#123—44no—
1163#123—44no—
1164#123—44no—
1165#123—82no—
1166C22⋊Q8—24no—
1167C22⋊Q8—28no—
1168C22⋊Q8—28no—
1169C22⋊Q8—24no—
1170C22⋊Q8—44no—
1171C22⋊Q8—42no—
1172C22⋊Q8—44no—
1173C22⋊Q8—44no—
1174C22⋊Q8—42no—
1175C22⋊Q8—44no—
1176C22⋊Q8—82no—
1177C22⋊Q8—82no—
1178C22⋊Q8—82no—
1179C22⋊Q8—82no—
1180C22⋊Q8—82no—
1181#121—44no—
1182#121—44no—
1183#121—44no—
1184#121—42no—
1185#121—42no—
1186C4×Q8—24no—
1187C4×Q8—28no—
1188C4×Q8—42no—
1189C4×Q8—44no—
1190C4×Q8—44no—
1191C4×D4—44no—
1192C4×D4—42no—
1193C4×D4—82no—
1194#117—44no—
1195#117—44no—
1196#117—44no—
1197#117—82no—
1198#117—82no—
1199#117—82no—
1200C2×C4⋊C4—42no—
1201C2×C4⋊C4—42no—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2411yescharacteristic
1206C2×C4⋊C4C2411yescharacteristic
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊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⋊C4C2411yescharacteristic
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2411yescharacteristic
1244C2×C4⋊C4C2411yescharacteristic
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2411yescharacteristic
1266C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2411yescharacteristic
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×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2411yescharacteristic
1309C2×C4⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2411yescharacteristic
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×C42—42no—
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2411yescharacteristic
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2411yescharacteristic
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2411yescharacteristic
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2411yescharacteristic
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
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—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520C24C2512yes—
1521C24C2512yes—
1522C24C2511yescharacteristic
1523C2×Q8—24no—
1524C2×Q8—24no—
1525C2×Q8—22no—
1526C2×Q8—41no—
1527C2×Q8—41no—
1528C2×Q8—42no—
1529C2×Q8—41no—
1530C2×Q8—41no—
1531C2×Q8—42no—
1532C2×Q8—42no—
1533C2×Q8—42no—
1534C2×Q8—41no—
1535C2×Q8—41no—
1536C2×Q8—41no—
1537C2×Q8—42no—
1538C2×Q8—42no—
1539C2×Q8—41no—
1540C2×Q8—42no—
1541C2×Q8—41no—
1542C2×Q8—41no—
1543C2×Q8H(5,𝔽2)14yes—
1544C2×D4—24no—
1545C2×D4—24no—
1546C2×D4—22no—
1547C2×D4—42no—
1548C2×D4—42no—
1549C2×D4—41no—
1550C2×D4—41no—
1551C2×D4—42no—
1552C2×D4—42no—
1553C2×D4—42no—
1554C2×D4—42no—
1555C2×D4—41no—
1556C2×D4—42no—
1557C2×D4—41no—
1558C2×D4—42no—
1559C2×D4—42no—
1560C2×D4—42no—
1561C2×D4—41no—
1562C22×C4—22no—
1563C22×C4—22no—
1564C22×C4—22no—
1565C22×C4—22no—
1566C22×C4—24no—
1567C22×C4—22no—
1568C22×C4—24no—
1569C22×C4—41no—
1570C22×C4—41no—
1571C22×C4—41no—
1572C22×C4—41no—
1573C22×C4—42no—
1574C22×C4—42no—
1575C22×C4—42no—
1576C22×C4—42no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—41no—
1580C22×C4—42no—
1581C22×C4—41no—
1582C22×C4—41no—
1583C22×C4—42no—
1584C22×C4—41no—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—41no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—41no—
1592C22×C4—41no—
1593C22×C4—41no—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—41no—
1597C22×C4—41no—
1598C22×C4—41no—
1599C22×C4—42no—
1600C22×C4—41no—
1601C22×C4C2512yes—
1602C22×C4C2512yes—
1603C22×C4C2512yes—
1604C22×C4C2512yes—
1605C22×C4C2512yes—
1606C22×C4C2511yescharacteristic
1607C22×C4C2512yes—
1608C22×C4C2512yes—
1609C22×C4C2512yes—
1610C22×C4C2512yes—
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C22×C4C2511yescharacteristic
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2512yes—
1620C22×C4C2512yes—
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2511yescharacteristic
1624C22×C4C2511yescharacteristic
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2511yescharacteristic
1631C22×C4C2511yescharacteristic
1632C22×C4C2512yes—
1633C4⋊C4—24no—
1634C4⋊C4—24no—
1635C4⋊C4—24no—
1636C4⋊C4—22no—
1637C4⋊C4—22no—
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—24no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—24no—
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—41no—
1664C4⋊C4—42no—
1665C4⋊C4—42no—
1666C4⋊C4—42no—
1667C4⋊C4—41no—
1668C4⋊C4—42no—
1669C4⋊C4—42no—
1670C4⋊C4—41no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—42no—
1677C4⋊C4—41no—
1678C4⋊C4—42no—
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—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—41no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—41no—
1702C4⋊C4—42no—
1703C4⋊C4—41no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—41no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—41no—
1726C4⋊C4—41no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—41no—
1733C4⋊C4—42no—
1734C4⋊C4—41no—
1735C4⋊C4—42no—
1736C4⋊C4—41no—
1737C4⋊C4—42no—
1738C4⋊C4—41no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C42−1+414yes—
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—42no—
1762C22⋊C4—42no—
1763C22⋊C4—42no—
1764C22⋊C4—42no—
1765C22⋊C4—42no—
1766C22⋊C4—42no—
1767C22⋊C4—42no—
1768C22⋊C4—42no—
1769C22⋊C4—42no—
1770C22⋊C4—42no—
1771C22⋊C4—42no—
1772C22⋊C4—42no—
1773C22⋊C4—42no—
1774C22⋊C4—42no—
1775C22⋊C4—42no—
1776C22⋊C4—42no—
1777C22⋊C4—42no—
1778C22⋊C4—42no—
1779C22⋊C4—42no—
1780C22⋊C4—42no—
1781C22⋊C4—42no—
1782C22⋊C4—42no—
1783C22⋊C4—42no—
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—
1804C42—22no—
1805C42—22no—
1806C42—24no—
1807C42—24no—
1808C42—24no—
1809C42—24no—
1810C42—24no—
1811C42—24no—
1812C42—41no—
1813C42—41no—
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—
1827C42—42no—
1828C42—42no—
1829C42—42no—
1830C42—42no—
1831C42—42no—
1832C42—42no—
1833C42—42no—
1834C23—21no—
1835C23—21no—
1836C23—21no—
1837C23—21no—
1838C23—21no—
1839C23—21no—
1840C23—22no—
1841C23—22no—
1842C23—22no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23—22no—
1847C23—22no—
1848C23—22no—
1849C23—22no—
1850C23—22no—
1851C23—22no—
1852C23—22no—
1853C23—22no—
1854C23#58512yes—
1855C23C2611yescharacteristic
1856Q8—44no—
1857Q8—84no—
1858Q8—84no—
1859Q8—82no—
1860Q8—162no—
1861Q8—161no—
1862Q8—161no—
1863D4—82no—
1864D4—84no—
1865D4—84no—
1866D4—162no—
1867D4—161no—
1868D4—162no—
1869C2×C4—21no—
1870C2×C4—21no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—21no—
1874C2×C4—22no—
1875C2×C4—21no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—21no—
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—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—21no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—21no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—21no—
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—21no—
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—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—21no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—21no—
1957C2×C4—22no—
1958C2×C4—21no—
1959C2×C4—22no—
1960C2×C4—21no—
1961C2×C4—44no—
1962C2×C4—82no—
1963C2×C4—84no—
1964C2×C4—82no—
1965C2×C4—84no—
1966C2×C4—82no—
1967C2×C4—82no—
1968C2×C4—84no—
1969C2×C4—84no—
1970C2×C4—84no—
1971C2×C4—161no—
1972C2×C4—161no—
1973C2×C4—162no—
1974C2×C4C2×H(5,𝔽2)14yes—
1975C2×C4C2×H(5,𝔽2)12yes—
1976C2×C4C2×2−1+414yes—
1977C2×C4C2×2−1+412yes—
1978C22—22no—
1979C22—22no—
1980C22—22no—
1981C22—41no—
1982C22—41no—
1983C22—41no—
1984C22—41no—
1985C22—42no—
1986C22—42no—
1987C22—42no—
1988C22—42no—
1989C22—42no—
1990C22—42no—
1991C22—42no—
1992C22—42no—
1993C22—42no—
1994C22—42no—
1995C22—42no—
1996C22—42no—
1997C22—42no—
1998C22—42no—
1999C22C22×H(5,𝔽2)11yescharacteristic
2000C22C22×2−1+411yescharacteristic
2001C22C2×#58511yescharacteristic
2002C22H(7,𝔽2)11yescharacteristic
2003C222−1+611yescharacteristic
2004C222−1+611yescharacteristic
2005C222−1+611yescharacteristic
2006C4—24no—
2007C4—22no—
2008C4—24no—
2009C4—22no—
2010C4—42no—
2011C4—42no—
2012C4—42no—
2013C4—42no—
2014C4—42no—
2015C4—42no—
2016C4—42no—
2017C4—42no—
2018C4—42no—
2019C4—42no—
2020C4—41no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—41no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—42no—
2030C4—42no—
2031C4—41no—
2032C4—41no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C4—42no—
2037C4—42no—
2038C2—42no—
2039C2—82no—
2040C2—82no—
2041C2#6286911yescharacteristic
2042C2#6287111yescharacteristic
2043C2#6291711yescharacteristic
2044C2#6291911yescharacteristic
2045C2#6294911yescharacteristic
2046C2#6297711yescharacteristic
2047C2#6306711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#46133C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58966C2semidirect
2. #58671C2semidirect
3. #58613C2semidirect
4. #56894C2semidirect
5. #56701C2semidirect
6. #56421C2semidirect
7. #56284C2semidirect
8. #55531C2semidirect
9. #55487C2semidirect
10. #55085C2semidirect
11. #54252C2semidirect
12. #53537C2semidirect
13. #53216C2semidirect
14. #53036C2semidirect
15. #51788C2semidirect
16. #51748C2semidirect
17. #50516C2semidirect
18. #49136C2semidirect
19. #49044C2semidirect
20. #47822C2semidirect
21. #46911C2semidirect
23. #44583C2semidirect
24. #43834C2semidirect
25. #43808C2semidirect
26. #42801C2semidirect
27. #42374C2semidirect
28. #41907C2semidirect
29. #41830C2semidirect
30. #41768C2semidirect
31. #39678C2semidirect
32. #39139C2semidirect
33. #37755C2semidirect
34. #37167C2semidirect
35. #36763C2semidirect

Maximal subgroups

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

subgroupindex
#589662
#586712
#586132
#568942
#567012
#564212
#562842
#555312
#554872
#550852
#542522
#535372
#532162
#530362
#517882
#517482
#505162
#491362
#490442
#478222
#469112
#461332
#445832
#438342
#438082
#428012
#423742
#419072
#418302
#417682
#396782
#391392
#377552
#371672
#367632