Finite Group Databasebeta

← #9243805

Subgroups — #9243805

Order 512.

4067 conjugacy classes of subgroups.

The subgroup lattice has 2027 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59244C211yesmaximal, characteristic, complemented
2#58687C212yesmaximal, complemented
3#58686C212yesmaximal, complemented
4#58382C212yesmaximal, complemented
5#58088C212yesmaximal, complemented
6#57648C212yesmaximal, complemented
7#57620C212yesmaximal, complemented
8#56802C212yesmaximal, complemented
9#56564C212yesmaximal, complemented
10#56115C212yesmaximal, complemented
11#56079C212yesmaximal, complemented
12#55596C212yesmaximal, complemented
13#54146C212yesmaximal, complemented
14#52513C212yesmaximal, complemented
15#51774C212yesmaximal, complemented
16#51675C212yesmaximal, complemented
17#51053C212yesmaximal, complemented
18#50620C212yesmaximal, complemented
19#50070C212yesmaximal, complemented
20#50052C212yesmaximal, complemented
21#49277C212yesmaximal, complemented
22#48788C212yesmaximal, complemented
23#47345C212yesmaximal, complemented
24#46486C212yesmaximal, complemented
25#45803C211yesmaximal, characteristic, complemented
26#43228C212yesmaximal, complemented
27#42179C212yesmaximal, complemented
28#41915C212yesmaximal, complemented
29#41384C212yesmaximal, complemented
30#41127C212yesmaximal, complemented
31#39755C211yesmaximal, characteristic, complemented
32#39480C211yesmaximal, characteristic, complemented
33#39453C211yesmaximal, characteristic
34#37867C211yesmaximal, characteristic, complemented
35#37466C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×#552C2212yes—
38C2×#539C2212yes—
39#2857C2211yescharacteristic
40#2854C2211yescharacteristic
41#2839C2212yes—
42#2839C2212yes—
43#2838C2212yes—
44#2838C2212yes—
45#2838C2212yes—
46#2835C2212yes—
47#2834C2212yes—
48#2833C2212yes—
49#2833C2212yes—
50#2832C2212yes—
51#2832C2212yes—
52#2832C2212yes—
53#2832C2212yes—
54#2829C2212yes—
55#2826C2212yes—
56#2823C2212yes—
57#2821C2212yes—
58#2821C2212yes—
59#2814C2212yes—
60#2810C2212yes—
61#2809C2211yescharacteristic
62#2808C2211yescharacteristic
63#2807C2212yes—
64#2806C2211yescharacteristic
65#2804C2211yescharacteristic
66#2800C2212yes—
67#2800C2212yes—
68#2798C2212yes—
69#2797C2212yes—
70#2796C2212yes—
71#2795C2212yes—
72#2794C2212yes—
73#2794C2212yes—
74#2793C2212yes—
75#2793C2212yes—
76#2792C2212yes—
77#2792C2212yes—
78#2792C2212yes—
79#2791C2212yes—
80#2791C2212yes—
81#2790C2212yes—
82#2790C2212yes—
83#2790C2212yes—
84#2790C2212yes—
85#2789C2212yes—
86#2789C2212yes—
87#2788C2212yes—
88#2788C2212yes—
89#2787C2212yes—
90#2787C2212yes—
91#2786C2212yes—
92#2783C2212yes—
93#2783C2212yes—
94#2781C2212yes—
95#2779C2212yes—
96#2779C2212yes—
97#2778C2212yes—
98#2778C2212yes—
99#2777C2212yes—
100#2777C2212yes—
101#2777C2212yes—
102#2776C2212yes—
103#2776C2212yes—
104#2776C2212yes—
105#2775C2212yes—
106#2775C2212yes—
107#2774C2212yes—
108#2774C2212yes—
109#2774C2212yes—
110#2772C2212yes—
111#2771C2212yes—
112#2770C2212yes—
113#2767C2212yes—
114#2767C2212yes—
115#2766C2212yes—
116#2766C2212yes—
117#2765C2212yes—
118#2765C2212yes—
119#2763C2212yes—
120#2762C2212yes—
121#2762C2212yes—
122#2761C2212yes—
123#2761C2212yes—
124#2755C2212yes—
125#2755C2212yes—
126#2755C2212yes—
127#2751C2212yes—
128#2747C2212yes—
129#2747C2212yes—
130#2746C2212yes—
131#2745C2212yes—
132#2745C2212yes—
133#2744C2212yes—
134#2744C2212yes—
135#2743C2212yes—
136#2742C2212yes—
137#2737C2212yes—
138#2732C2211yescharacteristic
139#2732C2211yescharacteristic
140#2727C2212yes—
141#2726C2212yes—
142#2726C2211yescharacteristic
143#2725C2212yes—
144#2725C2212yes—
145#2724C2212yes—
146#2723C2212yes—
147#2723C2212yes—
148#2722C2212yes—
149#2721C2212yes—
150#2721C2212yes—
151#2720C2212yes—
152#2720C2212yes—
153#2719C2212yes—
154#2719C2212yes—
155#2719C2212yes—
156#2718C2212yes—
157#2718C2212yes—
158#2718C2212yes—
159#2717C2212yes—
160#2717C2212yes—
161#2716C2212yes—
162#2716C2212yes—
163#2716C2212yes—
164#2715C2212yes—
165#2715C2212yes—
166#2713C2212yes—
167#2713C2212yes—
168#2713C2212yes—
169#2711C2212yes—
170#2711C2212yes—
171#2710C2212yes—
172#2708C2212yes—
173#2704C2212yes—
174#2700C2212yes—
175#2698C2212yes—
176#2698C2212yes—
177#2698C2212yes—
178#2698C2212yes—
179#2698C2212yes—
180#2695C2212yes—
181#2695C2212yes—
182#2691C2212yes—
183#2691C2212yes—
184#2690C2212yes—
185#2690C2212yes—
186#2689C2212yes—
187#2687C2212yes—
188#2686C2212yes—
189#2686C2212yes—
190#2682C2211yescharacteristic
191#2671C2212yes—
192#2666C2212yes—
193#2666C2212yes—
194#2666C2212yes—
195#2665C2212yes—
196#2665C2212yes—
197#2664C2212yes—
198#2660C2212yes—
199#2659C2211yescharacteristic
200#2659C2211yescharacteristic
201#2655C2212yes—
202#2655C2212yes—
203#2655C2212yes—
204#2653C2212yes—
205#2653C2212yes—
206#2652C2212yes—
207#2652C2212yes—
208#2648C2212yes—
209#2646C2211yescharacteristic
210#2645C2212yes—
211#2639C2211yescharacteristic
212#2639C2211yescharacteristic
213#2638C2212yes—
214#2637C2212yes—
215#2637C2212yes—
216#2634C2212yes—
217#2634C2212yes—
218#2630C2212yes—
219#2628C2212yes—
220#2627C2211yescharacteristic
221#2627C2211yescharacteristic
222#2625C2212yes—
223#2618C2211yescharacteristic
224#2606C2212yes—
225#2605C2212yes—
226#2604C2212yes—
227#2601C2212yes—
228#2601C2212yes—
229#2597C2212yes—
230#2597C2212yes—
231#2596C2212yes—
232#2596C2212yes—
233#2595C2212yes—
234#2595C2212yes—
235#2594C2212yes—
236#2590C2212yes—
237#2589C2212yes—
238#2589C2212yes—
239#2588C2212yes—
240#2588C2212yes—
241#2587C2212yes—
242#2585C2212yes—
243#2583C2212yes—
244#2582C2212yes—
245#2579C2212yes—
246#2576C2212yes—
247#2575C2212yes—
248#2574C2212yes—
249#2574C2212yes—
250#2572C2212yes—
251#2571C2211yescharacteristic
252#2570C2212yes—
253#2567C2211yescharacteristic
254#2566C2212yes—
255#2565C2212yes—
256#2564C2212yes—
257#2560C2212yes—
258#2558C2212yes—
259#2553C2212yes—
260#2553C2212yes—
261#2553C2212yes—
262#2551C2211yescharacteristic
263#2538C2211yescharacteristic
264#2536C2212yes—
265#2533C2212yes—
266#2531C2212yes—
267#2530C2212yes—
268#2530C2212yes—
269#2530C2212yes—
270#2530C2212yes—
271#2530C2212yes—
272#2529C2212yes—
273#2529C2212yes—
274#2528C2212yes—
275#2528C2212yes—
276#2527C2212yes—
277#2524C2212yes—
278#2523C2212yes—
279#2520C2212yes—
280#2519C2212yes—
281#2515C2212yes—
282#2514C2212yes—
283#2512C2212yes—
284#2511C2212yes—
285#2510C2212yes—
286#2510C2212yes—
287#2509C2212yes—
288#2507C2212yes—
289#2506C2212yes—
290#2506C2212yes—
291#2505C2212yes—
292#2505C2212yes—
293#2498C2212yes—
294#2498C2212yes—
295#2496C2212yes—
296#2496C2212yes—
297#2496C2212yes—
298#2495C2212yes—
299#2494C2212yes—
300#2493C2212yes—
301#2493C2212yes—
302#2491C2212yes—
303#2485C2212yes—
304#2484C2212yes—
305#2481C2212yes—
306#2479C2212yes—
307#2478C2212yes—
308#2478C2212yes—
309#2478C2212yes—
310#2477C2212yes—
311#2477C2212yes—
312#2476C2212yes—
313#2475C2212yes—
314#2475C2212yes—
315#2474C2212yes—
316#2473C2212yes—
317#2473C2212yes—
318#2473C2212yes—
319#2470C2212yes—
320#2470C2212yes—
321#2469C2212yes—
322#2469C2212yes—
323#2469C2212yes—
324#2469C2212yes—
325#2468C2212yes—
326#2467C2212yes—
327#2466C2212yes—
328#2466C2212yes—
329#2466C2212yes—
330#2466C2212yes—
331#2465C2212yes—
332#2465C2212yes—
333#2465C2212yes—
334#2465C2212yes—
335#2464C2212yes—
336#2462C2212yes—
337#2462C2212yes—
338#2462C2212yes—
339#2462C2212yes—
340#2462C2212yes—
341#2459C2212yes—
342#2453C2212yes—
343#2450C2212yes—
344#2442C2212yes—
345#2441C2212yes—
346#2439C2212yes—
347#2438C2212yes—
348#2421C2212yes—
349#2420C2212yes—
350#2419C2212yes—
351#2396C2212yes—
352#2395C2212yes—
353#2382C2212yes—
354#2382C2212yes—
355#2376C2212yes—
356#2373C2212yes—
357#2369C2211yescharacteristic
358#2365C2212yes—
359#2361C2212yes—
360#2355C2211yescharacteristic
361#2354C2211yescharacteristic
362#2353C2212yes—
363Q8×C4⋊C4C2211yescharacteristic
364#2343C2212yes—
365#2334C2212yes—
366#2334C2212yes—
367#2330C2212yes—
368#2329C2211yescharacteristic
369#2329C2211yescharacteristic
370#2325C2211yescharacteristic
371#2318C2212yes—
372#2316C2211yescharacteristic
373#2314C2212yes—
374C4×C22⋊Q8C2211yescharacteristic
375C4×C22⋊Q8C2211yescharacteristic
376C4×#121C2211yescharacteristic
377C2×#387C2211yescharacteristic
378#2285C2211yescharacteristic
379#556—48no—
380#552—48no—
381#539—48no—
382C2×C4⋊Q8C2312yes—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2311yescharacteristic
385C2×#126C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×#121C2311yescharacteristic
421C2×#121C2312yes—
422C2×#121C2311yescharacteristic
423C2×#121C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2311yescharacteristic
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C2×#117C2312yes—
438C2×#117C2312yes—
439C2×#117C2312yes—
440C22×C4⋊C4C2311yescharacteristic
441C22×C4⋊C4C2311yescharacteristic
442C22×C4⋊C4C2312yes—
443C22×C42C2311yescharacteristic
444#401C2312yes—
445#401C2312yes—
446#401C2312yes—
447#401C2312yes—
448#401C2312yes—
449#401C2312yes—
450#401C2312yes—
451#400C2312yes—
452#400C2312yes—
453#400C2312yes—
454#400C2312yes—
455#400C2312yes—
456#400C2312yes—
457#400C2312yes—
458#400C2312yes—
459#400C2312yes—
460#400C2312yes—
461#400C2312yes—
462#400C2312yes—
463#400C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#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#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#393C2312yes—
677#393C2312yes—
678#393C2312yes—
679#393C2312yes—
680#393C2312yes—
681#393C2312yes—
682#393C2312yes—
683#393C2312yes—
684#393C2312yes—
685#393C2312yes—
686#393C2312yes—
687#393C2312yes—
688#393C2312yes—
689#393C2312yes—
690#392C2312yes—
691#392C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2311yescharacteristic
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2311yescharacteristic
710#391C2311yescharacteristic
711#391C2312yes—
712#391C2312yes—
713#391C2311yescharacteristic
714#390C2312yes—
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2311yescharacteristic
720#390C2311yescharacteristic
721#390C2312yes—
722#390C2311yescharacteristic
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#389C2311yescharacteristic
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2311yescharacteristic
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2311yescharacteristic
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2311yescharacteristic
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2311yescharacteristic
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#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#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#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#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
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#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#384C2312yes—
1002#384C2312yes—
1003#384C2311yescharacteristic
1004#384C2311yescharacteristic
1005#384C2312yes—
1006#384C2312yes—
1007#384C2312yes—
1008#384C2311yescharacteristic
1009#383C2312yes—
1010#383C2312yes—
1011#383C2312yes—
1012#383C2312yes—
1013#383C2312yes—
1014#383C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2311yescharacteristic
1039#380C2312yes—
1040#380C2311yescharacteristic
1041#380C2311yescharacteristic
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2311yescharacteristic
1046#380C2312yes—
1047#380C2312yes—
1048#380C2311yescharacteristic
1049#380C2311yescharacteristic
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2311yescharacteristic
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
1076C4×C4⋊C4C2311yescharacteristic
1077C4×C4⋊C4C2311yescharacteristic
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—
1093#376C2312yes—
1094#376C2312yes—
1095#376C2312yes—
1096C2×#95C2311yescharacteristic
1097C2×#95C2312yes—
1098C2×#95C2311yescharacteristic
1099C2×#95C2311yescharacteristic
1100C2×#95C2311yescharacteristic
1101C22×Q8C2411yescharacteristic
1102C22×Q8C2411yescharacteristic
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2412yes—
1106C22×Q8C2411yescharacteristic
1107C22×Q8C2411yescharacteristic
1108C22×D4C2411yescharacteristic
1109C22×D4C2412yes—
1110C22×D4C2412yes—
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2411yescharacteristic
1114C23×C4C2411yescharacteristic
1115C23×C4C2412yes—
1116C23×C4C2411yescharacteristic
1117C23×C4C2411yescharacteristic
1118C23×C4C2411yescharacteristic
1119C23×C4C2412yes—
1120C23×C4C2412yes—
1121C23×C4C2411yescharacteristic
1122C23×C4C2412yes—
1123C23×C4C2412yes—
1124C23×C4C2412yes—
1125C23×C4C2411yescharacteristic
1126C23×C4C2411yescharacteristic
1127C4⋊Q8—42no—
1128C4⋊Q8—44no—
1129C4⋊Q8—44no—
1130#126—44no—
1131#126—44no—
1132#126—44no—
1133#126—44no—
1134#126—44no—
1135#126—44no—
1136#126—44no—
1137#126—44no—
1138#126—44no—
1139#126—44no—
1140#126—44no—
1141#125—44no—
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#124—44no—
1151#123—28no—
1152#123—44no—
1153#123—44no—
1154#123—44no—
1155#123—44no—
1156C22⋊Q8—24no—
1157C22⋊Q8—24no—
1158C22⋊Q8—44no—
1159C22⋊Q8—44no—
1160C22⋊Q8—44no—
1161C22⋊Q8—44no—
1162C22⋊Q8—42no—
1163C22⋊Q8—42no—
1164C22⋊Q8—44no—
1165#121—42no—
1166#121—44no—
1167#121—44no—
1168#121—42no—
1169C4×Q8—42no—
1170C4×Q8—42no—
1171C4×Q8—44no—
1172C4×Q8—44no—
1173C4×Q8—44no—
1174C4×Q8—44no—
1175C4×D4—28no—
1176C4×D4—42no—
1177C4×D4—44no—
1178C4×D4—44no—
1179C4×D4—44no—
1180#117—28no—
1181#117—44no—
1182#117—44no—
1183#117—44no—
1184#117—44no—
1185C2×C4⋊C4—24no—
1186C2×C4⋊C4—42no—
1187C2×C4⋊C4—44no—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2412yes—
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2412yes—
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2412yes—
1194C2×C4⋊C4C2411yescharacteristic
1195C2×C4⋊C4C2412yes—
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2411yescharacteristic
1203C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2411yescharacteristic
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2411yescharacteristic
1223C2×C4⋊C4C2411yescharacteristic
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2411yescharacteristic
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2411yescharacteristic
1233C2×C4⋊C4C2411yescharacteristic
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2411yescharacteristic
1257C2×C4⋊C4C2411yescharacteristic
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2411yescharacteristic
1260C2×C4⋊C4C2411yescharacteristic
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2411yescharacteristic
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2411yescharacteristic
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C22⋊C4C2412yes—
1294C2×C22⋊C4C2412yes—
1295C2×C22⋊C4C2412yes—
1296C2×C22⋊C4C2412yes—
1297C2×C22⋊C4C2412yes—
1298C2×C22⋊C4C2412yes—
1299C2×C22⋊C4C2412yes—
1300C2×C22⋊C4C2412yes—
1301C2×C22⋊C4C2412yes—
1302C2×C22⋊C4C2412yes—
1303C2×C22⋊C4C2412yes—
1304C2×C22⋊C4C2412yes—
1305C2×C22⋊C4C2412yes—
1306C2×C22⋊C4C2412yes—
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C22⋊C4C2412yes—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C42—42no—
1352C2×C42C2412yes—
1353C2×C42C2412yes—
1354C2×C42C2412yes—
1355C2×C42C2412yes—
1356C2×C42C2412yes—
1357C2×C42C2411yescharacteristic
1358C2×C42C2411yescharacteristic
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×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2411yescharacteristic
1380C2×C42C2412yes—
1381C2×C42C2411yescharacteristic
1382#95C2412yes—
1383#95C2412yes—
1384#95C2412yes—
1385#95C2412yes—
1386#95C2412yes—
1387#95C2412yes—
1388#95C2412yes—
1389#95C2412yes—
1390#95C2412yes—
1391#95C2412yes—
1392#95C2412yes—
1393#95C2412yes—
1394#95C2412yes—
1395#95C2412yes—
1396#95C2412yes—
1397#95C2412yes—
1398#95C2412yes—
1399#95C2412yes—
1400#95C2412yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2412yes—
1404#95C2412yes—
1405#95C2412yes—
1406#95C2412yes—
1407#95C2412yes—
1408#95C2412yes—
1409#95C2412yes—
1410#95C2412yes—
1411#95C2412yes—
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506C24C2512yes—
1507C24C2512yes—
1508C24C2511yescharacteristic
1509C2×Q8—22no—
1510C2×Q8—22no—
1511C2×Q8—41no—
1512C2×Q8—41no—
1513C2×Q8—42no—
1514C2×Q8—42no—
1515C2×Q8—42no—
1516C2×Q8—41no—
1517C2×Q8—42no—
1518C2×Q8—42no—
1519C2×Q8—41no—
1520C2×Q8—42no—
1521C2×Q8—42no—
1522C2×Q8—42no—
1523C2×Q8—42no—
1524C2×Q8—41no—
1525C2×Q8—41no—
1526C2×Q8—41no—
1527C2×Q8—41no—
1528C2×Q8—41no—
1529C2×Q8—41no—
1530C2×D4—24no—
1531C2×D4—24no—
1532C2×D4—22no—
1533C2×D4—42no—
1534C2×D4—41no—
1535C2×D4—42no—
1536C2×D4—42no—
1537C2×D4—42no—
1538C2×D4—42no—
1539C2×D4—42no—
1540C2×D4—41no—
1541C2×D4—42no—
1542C2×D4—42no—
1543C2×D4—42no—
1544C2×D4—42no—
1545C2×D4—41no—
1546C2×D4—41no—
1547C2×D4—41no—
1548C22×C4—22no—
1549C22×C4—22no—
1550C22×C4—24no—
1551C22×C4—22no—
1552C22×C4—22no—
1553C22×C4—41no—
1554C22×C4—41no—
1555C22×C4—41no—
1556C22×C4—41no—
1557C22×C4—41no—
1558C22×C4—42no—
1559C22×C4—42no—
1560C22×C4—42no—
1561C22×C4—42no—
1562C22×C4—42no—
1563C22×C4—41no—
1564C22×C4—41no—
1565C22×C4—41no—
1566C22×C4—42no—
1567C22×C4—42no—
1568C22×C4—42no—
1569C22×C4—42no—
1570C22×C4—42no—
1571C22×C4—42no—
1572C22×C4—41no—
1573C22×C4—41no—
1574C22×C4—42no—
1575C22×C4—41no—
1576C22×C4—42no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—41no—
1580C22×C4—41no—
1581C22×C4—41no—
1582C22×C4—42no—
1583C22×C4—41no—
1584C22×C4—41no—
1585C22×C4—42no—
1586C22×C4H(5,𝔽2)14yes—
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×C4C2512yes—
1601C22×C4C2512yes—
1602C22×C4C2512yes—
1603C22×C4C2512yes—
1604C22×C4C2512yes—
1605C22×C4C2512yes—
1606C22×C4C2512yes—
1607C22×C4C2512yes—
1608C22×C4C2512yes—
1609C22×C4C2512yes—
1610C22×C4C2512yes—
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2511yescharacteristic
1616C22×C4C2511yescharacteristic
1617C22×C4C2511yescharacteristic
1618C22×C4C2511yescharacteristic
1619C4⋊C4—24no—
1620C4⋊C4—24no—
1621C4⋊C4—24no—
1622C4⋊C4—24no—
1623C4⋊C4—24no—
1624C4⋊C4—24no—
1625C4⋊C4—22no—
1626C4⋊C4—24no—
1627C4⋊C4—24no—
1628C4⋊C4—24no—
1629C4⋊C4—22no—
1630C4⋊C4—24no—
1631C4⋊C4—24no—
1632C4⋊C4—24no—
1633C4⋊C4—24no—
1634C4⋊C4—22no—
1635C4⋊C4—24no—
1636C4⋊C4—24no—
1637C4⋊C4—24no—
1638C4⋊C4—42no—
1639C4⋊C4—42no—
1640C4⋊C4—42no—
1641C4⋊C4—41no—
1642C4⋊C4—41no—
1643C4⋊C4—42no—
1644C4⋊C4—41no—
1645C4⋊C4—41no—
1646C4⋊C4—42no—
1647C4⋊C4—41no—
1648C4⋊C4—42no—
1649C4⋊C4—41no—
1650C4⋊C4—41no—
1651C4⋊C4—42no—
1652C4⋊C4—42no—
1653C4⋊C4—42no—
1654C4⋊C4—42no—
1655C4⋊C4—42no—
1656C4⋊C4—42no—
1657C4⋊C4—42no—
1658C4⋊C4—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—41no—
1670C4⋊C4—42no—
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—41no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—41no—
1686C4⋊C4—41no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—41no—
1694C4⋊C4—42no—
1695C4⋊C4—41no—
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—
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—
1724C22⋊C4—24no—
1725C22⋊C4—24no—
1726C22⋊C4—24no—
1727C22⋊C4—24no—
1728C22⋊C4—24no—
1729C22⋊C4—24no—
1730C22⋊C4—24no—
1731C22⋊C4—24no—
1732C22⋊C4—24no—
1733C22⋊C4—24no—
1734C22⋊C4—24no—
1735C22⋊C4—24no—
1736C22⋊C4—42no—
1737C22⋊C4—42no—
1738C22⋊C4—42no—
1739C22⋊C4—42no—
1740C22⋊C4—42no—
1741C22⋊C4—42no—
1742C22⋊C4—42no—
1743C22⋊C4—42no—
1744C22⋊C4—42no—
1745C22⋊C4—42no—
1746C22⋊C4—42no—
1747C22⋊C4—42no—
1748C22⋊C4—42no—
1749C22⋊C4—42no—
1750C22⋊C4—42no—
1751C22⋊C4—42no—
1752C22⋊C4—42no—
1753C22⋊C4—42no—
1754C22⋊C4—42no—
1755C22⋊C4—42no—
1756C22⋊C4—42no—
1757C22⋊C4—42no—
1758C22⋊C4—42no—
1759C22⋊C4—42no—
1760C22⋊C4—42no—
1761C22⋊C4—42no—
1762C22⋊C4—42no—
1763C22⋊C4—42no—
1764C22⋊C4—42no—
1765C22⋊C4—42no—
1766C22⋊C4—42no—
1767C22⋊C4—42no—
1768C22⋊C4—42no—
1769C22⋊C4—42no—
1770C22⋊C4—42no—
1771C22⋊C4—42no—
1772C22⋊C4—42no—
1773C22⋊C4—42no—
1774C22⋊C4—42no—
1775C22⋊C4—42no—
1776C22⋊C4—42no—
1777C22⋊C4—42no—
1778C22⋊C4—42no—
1779C22⋊C4—42no—
1780C22⋊C4—42no—
1781C22⋊C4—42no—
1782C42—24no—
1783C42—24no—
1784C42—24no—
1785C42—22no—
1786C42—22no—
1787C42—24no—
1788C42—24no—
1789C42—41no—
1790C42—41no—
1791C42—42no—
1792C42—42no—
1793C42—42no—
1794C42—42no—
1795C42—42no—
1796C42—42no—
1797C42—42no—
1798C42—42no—
1799C42—42no—
1800C42—42no—
1801C42—42no—
1802C42—42no—
1803C42—42no—
1804C42—42no—
1805C42—42no—
1806C42—42no—
1807C42—42no—
1808C42—42no—
1809C42—42no—
1810C42—42no—
1811C42—42no—
1812C23—21no—
1813C23—21no—
1814C23—21no—
1815C23—21no—
1816C23—21no—
1817C23—21no—
1818C23—22no—
1819C23—22no—
1820C23—22no—
1821C23—22no—
1822C23—22no—
1823C23—22no—
1824C23—22no—
1825C23—22no—
1826C23—22no—
1827C23—22no—
1828C23—22no—
1829C23—22no—
1830C23—22no—
1831C23—22no—
1832C23C2×H(5,𝔽2)12yes—
1833C23C2611yescharacteristic
1834Q8—44no—
1835Q8—82no—
1836Q8—84no—
1837Q8—84no—
1838Q8—84no—
1839Q8—161no—
1840Q8—161no—
1841D4—82no—
1842D4—84no—
1843D4—84no—
1844D4—84no—
1845D4—84no—
1846D4—161no—
1847C2×C4—21no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—22no—
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—21no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—21no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—21no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—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—21no—
1923C2×C4—21no—
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—21no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—44no—
1940C2×C4—44no—
1941C2×C4—82no—
1942C2×C4—84no—
1943C2×C4—82no—
1944C2×C4—82no—
1945C2×C4—84no—
1946C2×C4—84no—
1947C2×C4—84no—
1948C2×C4—161no—
1949C2×C4—161no—
1950C2×C4—162no—
1951C2×C4—162no—
1952C2×C4C2×H(5,𝔽2)12yes—
1953C2×C4C2×H(5,𝔽2)12yes—
1954C2×C4#58512yes—
1955C2×C4#58512yes—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—41no—
1960C22—41no—
1961C22—41no—
1962C22—41no—
1963C22—42no—
1964C22—42no—
1965C22—42no—
1966C22—42no—
1967C22—42no—
1968C22—42no—
1969C22—42no—
1970C22—42no—
1971C22—42no—
1972C22—42no—
1973C22—42no—
1974C22—42no—
1975C22—42no—
1976C22—42no—
1977C22C22×H(5,𝔽2)11yescharacteristic
1978C22C2×#58511yescharacteristic
1979C22C2×#58511yescharacteristic
1980C222−1+611yescharacteristic
1981C222−1+611yescharacteristic
1982C222−1+611yescharacteristic
1983C222−1+611yescharacteristic
1984C4—22no—
1985C4—22no—
1986C4—22no—
1987C4—22no—
1988C4—42no—
1989C4—42no—
1990C4—42no—
1991C4—42no—
1992C4—42no—
1993C4—42no—
1994C4—41no—
1995C4—42no—
1996C4—42no—
1997C4—42no—
1998C4—42no—
1999C4—42no—
2000C4—42no—
2001C4—42no—
2002C4—42no—
2003C4—42no—
2004C4—42no—
2005C4—42no—
2006C4—41no—
2007C4—42no—
2008C4—42no—
2009C4—42no—
2010C4—42no—
2011C4—42no—
2012C4—42no—
2013C4—42no—
2014C4—42no—
2015C4—42no—
2016C2—42no—
2017C2—82no—
2018C2—82no—
2019C2#6287311yescharacteristic
2020C2#6288811yescharacteristic
2021C2#6290111yescharacteristic
2022C2#6291111yescharacteristic
2023C2#6296011yescharacteristic
2024C2#6297911yescharacteristic
2025C2#6305311yescharacteristic
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. #59244C2semidirect
2. #58687C2semidirect
3. #58686C2semidirect
4. #58382C2semidirect
5. #58088C2semidirect
6. #57648C2semidirect
7. #57620C2semidirect
8. #56802C2semidirect
9. #56564C2semidirect
10. #56115C2semidirect
11. #56079C2semidirect
12. #55596C2semidirect
13. #54146C2semidirect
14. #52513C2semidirect
15. #51774C2semidirect
16. #51675C2semidirect
17. #51053C2semidirect
18. #50620C2semidirect
19. #50070C2semidirect
20. #50052C2semidirect
21. #49277C2semidirect
22. #48788C2semidirect
23. #47345C2semidirect
24. #46486C2semidirect
25. #45803C2semidirect
26. #43228C2semidirect
27. #42179C2semidirect
28. #41915C2semidirect
29. #41384C2semidirect
30. #41127C2semidirect
31. #39755C2semidirect
32. #39480C2semidirect
34. #37867C2semidirect
35. #37466C2semidirect

Maximal subgroups

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

subgroupindex
#592442
#586872
#586862
#583822
#580882
#576482
#576202
#568022
#565642
#561152
#560792
#555962
#541462
#525132
#517742
#516752
#510532
#506202
#500702
#500522
#492772
#487882
#473452
#464862
#458032
#432282
#421792
#419152
#413842
#411272
#397552
#394802
#394532
#378672
#374662