Finite Group Databasebeta

← #9515336

Subgroups — #9515336

Order 512.

4125 conjugacy classes of subgroups.

The subgroup lattice has 2051 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58612C212yesmaximal, complemented
2#58505C212yesmaximal, complemented
3#57259C212yesmaximal, complemented
4#57241C212yesmaximal, complemented
5#56969C212yesmaximal, complemented
6#56902C212yesmaximal, complemented
7#56358C212yesmaximal, complemented
8#55747C212yesmaximal, complemented
9#55712C212yesmaximal, complemented
10#55685C212yesmaximal, complemented
11#55485C212yesmaximal, complemented
12#53845C212yesmaximal, complemented
13#53219C211yesmaximal, characteristic, complemented
14#52469C212yesmaximal, complemented
15#51882C212yesmaximal, complemented
16#51868C212yesmaximal, complemented
17#51599C212yesmaximal, complemented
18#49567C212yesmaximal, complemented
19#49490C212yesmaximal, complemented
20#47799C212yesmaximal, complemented
21#46909C212yesmaximal, complemented
22#46133C211yesmaximal, characteristic
23#45099C212yesmaximal, complemented
24#43806C212yesmaximal, complemented
25#43799C212yesmaximal, complemented
26#42854C212yesmaximal, complemented
27#42293C212yesmaximal, complemented
28#41911C212yesmaximal, complemented
29#41860C212yesmaximal, complemented
30#41771C212yesmaximal, complemented
31#39678C211yesmaximal, characteristic, complemented
32#39127C211yesmaximal, characteristic, complemented
33#37755C211yesmaximal, characteristic, complemented
34#37211C211yesmaximal, characteristic, complemented
35#36764C211yesmaximal, characteristic, complemented
36C2×#562C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#544C2212yes—
39C2×#544C2211yescharacteristic
40C2×#529C2211yescharacteristic
41#2857C2211yescharacteristic
42#2855C2211yescharacteristic
43#2851C2211yescharacteristic
44#2850C2211yescharacteristic
45#2843C2212yes—
46#2841C2212yes—
47#2839C2212yes—
48#2839C2212yes—
49#2838C2212yes—
50#2837C2212yes—
51#2837C2212yes—
52#2837C2212yes—
53#2836C2212yes—
54#2836C2212yes—
55#2836C2212yes—
56#2833C2212yes—
57#2831C2212yes—
58#2831C2212yes—
59#2830C2212yes—
60#2830C2212yes—
61#2826C2212yes—
62#2822C2211yescharacteristic
63#2822C2212yes—
64#2820C2211yescharacteristic
65#2811C2211yescharacteristic
66#2810C2211yescharacteristic
67#2809C2212yes—
68#2809C2212yes—
69#2808C2211yescharacteristic
70#2806C2212yes—
71#2805C2212yes—
72#2805C2212yes—
73#2805C2211yescharacteristic
74#2805C2211yescharacteristic
75#2802C2212yes—
76#2799C2212yes—
77#2798C2212yes—
78#2798C2212yes—
79#2798C2212yes—
80#2796C2212yes—
81#2796C2212yes—
82#2795C2212yes—
83#2794C2212yes—
84#2794C2212yes—
85#2793C2212yes—
86#2793C2212yes—
87#2793C2212yes—
88#2791C2212yes—
89#2791C2212yes—
90#2791C2212yes—
91#2791C2212yes—
92#2790C2212yes—
93#2790C2212yes—
94#2788C2212yes—
95#2788C2212yes—
96#2784C2212yes—
97#2781C2212yes—
98#2781C2212yes—
99#2780C2212yes—
100#2779C2212yes—
101#2777C2212yes—
102#2776C2212yes—
103#2776C2212yes—
104#2772C2212yes—
105#2772C2212yes—
106#2770C2212yes—
107#2769C2212yes—
108#2766C2212yes—
109#2765C2212yes—
110#2765C2212yes—
111#2765C2212yes—
112#2762C2212yes—
113#2762C2212yes—
114#2759C2212yes—
115#2758C2212yes—
116#2757C2212yes—
117#2755C2212yes—
118#2755C2212yes—
119#2755C2212yes—
120#2755C2212yes—
121#2747C2212yes—
122#2745C2212yes—
123#2744C2212yes—
124#2742C2212yes—
125#2741C2212yes—
126#2738C2212yes—
127#2738C2212yes—
128#2738C2212yes—
129#2734C2212yes—
130#2734C2212yes—
131#2734C2211yescharacteristic
132#2732C2211yescharacteristic
133#2731C2212yes—
134#2731C2212yes—
135#2729C2212yes—
136#2729C2212yes—
137#2729C2212yes—
138#2729C2212yes—
139#2729C2212yes—
140#2729C2212yes—
141#2728C2212yes—
142#2728C2212yes—
143#2728C2212yes—
144#2728C2212yes—
145#2726C2212yes—
146#2726C2212yes—
147#2726C2211yescharacteristic
148#2725C2212yes—
149#2725C2212yes—
150#2725C2212yes—
151#2724C2212yes—
152#2720C2212yes—
153#2719C2212yes—
154#2719C2212yes—
155#2719C2212yes—
156#2718C2212yes—
157#2718C2212yes—
158#2717C2212yes—
159#2716C2212yes—
160#2715C2212yes—
161#2713C2212yes—
162#2713C2212yes—
163#2713C2212yes—
164#2713C2212yes—
165#2711C2212yes—
166#2710C2212yes—
167#2707C2212yes—
168#2707C2212yes—
169#2707C2212yes—
170#2707C2212yes—
171#2704C2212yes—
172#2704C2212yes—
173#2704C2212yes—
174#2704C2212yes—
175#2701C2212yes—
176#2700C2212yes—
177#2700C2212yes—
178#2700C2212yes—
179#2700C2212yes—
180#2695C2212yes—
181#2695C2212yes—
182#2690C2212yes—
183#2690C2212yes—
184#2690C2212yes—
185#2689C2212yes—
186#2689C2212yes—
187#2687C2212yes—
188#2687C2212yes—
189#2687C2212yes—
190#2686C2212yes—
191#2681C2212yes—
192#2681C2212yes—
193#2680C2212yes—
194#2677C2212yes—
195#2677C2212yes—
196#2674C2212yes—
197#2674C2212yes—
198#2672C2212yes—
199#2671C2212yes—
200#2671C2212yes—
201#2667C2212yes—
202#2665C2212yes—
203#2663C2212yes—
204#2659C2211yescharacteristic
205#2659C2212yes—
206#2655C2212yes—
207#2655C2212yes—
208#2655C2212yes—
209#2654C2212yes—
210#2653C2212yes—
211#2653C2212yes—
212#2653C2212yes—
213#2652C2212yes—
214#2652C2212yes—
215#2652C2212yes—
216#2650C2212yes—
217#2650C2212yes—
218#2650C2212yes—
219#2650C2212yes—
220#2649C2212yes—
221#2647C2212yes—
222#2646C2211yescharacteristic
223#2645C2212yes—
224#2639C2211yescharacteristic
225#2629C2212yes—
226#2627C2211yescharacteristic
227#2620C2212yes—
228#2618C2211yescharacteristic
229#2618C2211yescharacteristic
230#2612C2212yes—
231#2611C2212yes—
232#2611C2212yes—
233#2611C2212yes—
234#2609C2212yes—
235#2606C2212yes—
236#2605C2212yes—
237#2602C2212yes—
238#2597C2212yes—
239#2597C2212yes—
240#2596C2212yes—
241#2596C2212yes—
242#2595C2212yes—
243#2594C2212yes—
244#2594C2212yes—
245#2594C2212yes—
246#2591C2212yes—
247#2589C2212yes—
248#2588C2212yes—
249#2588C2212yes—
250#2587C2212yes—
251#2586C2212yes—
252#2584C2212yes—
253#2578C2212yes—
254#2574C2212yes—
255#2573C2212yes—
256#2570C2212yes—
257#2568C2212yes—
258#2565C2212yes—
259#2562C2212yes—
260#2558C2212yes—
261#2558C2212yes—
262#2557C2212yes—
263#2556C2212yes—
264#2556C2212yes—
265#2556C2212yes—
266#2552C2212yes—
267#2550C2212yes—
268#2550C2212yes—
269#2547C2211yescharacteristic
270#2546C2212yes—
271#2545C2212yes—
272#2538C2212yes—
273#2538C2211yescharacteristic
274#2536C2212yes—
275#2533C2212yes—
276#2532C2212yes—
277#2532C2212yes—
278#2531C2212yes—
279#2531C2212yes—
280#2530C2212yes—
281#2529C2212yes—
282#2529C2212yes—
283#2524C2212yes—
284#2521C2212yes—
285#2520C2212yes—
286#2520C2212yes—
287#2520C2212yes—
288#2518C2212yes—
289#2518C2212yes—
290#2516C2212yes—
291#2515C2212yes—
292#2515C2212yes—
293#2515C2212yes—
294#2511C2212yes—
295#2510C2212yes—
296#2506C2212yes—
297#2506C2212yes—
298#2506C2212yes—
299#2505C2212yes—
300#2505C2212yes—
301#2502C2212yes—
302#2499C2212yes—
303#2493C2212yes—
304#2492C2212yes—
305#2492C2212yes—
306#2491C2212yes—
307#2488C2212yes—
308#2488C2212yes—
309#2477C2212yes—
310#2477C2212yes—
311#2476C2212yes—
312#2476C2212yes—
313#2476C2212yes—
314#2475C2212yes—
315#2475C2212yes—
316#2475C2212yes—
317#2474C2212yes—
318#2473C2212yes—
319#2473C2212yes—
320#2470C2212yes—
321#2470C2212yes—
322#2465C2212yes—
323#2465C2212yes—
324#2460C2212yes—
325#2457C2212yes—
326#2453C2212yes—
327#2453C2212yes—
328#2451C2212yes—
329#2451C2212yes—
330#2450C2212yes—
331#2449C2212yes—
332#2449C2212yes—
333#2446C2212yes—
334#2446C2212yes—
335#2444C2212yes—
336#2442C2212yes—
337#2441C2212yes—
338#2439C2212yes—
339#2439C2212yes—
340#2438C2212yes—
341#2429C2212yes—
342#2429C2212yes—
343#2427C2212yes—
344#2426C2212yes—
345#2425C2212yes—
346#2423C2212yes—
347#2423C2212yes—
348#2421C2212yes—
349#2419C2212yes—
350#2413C2212yes—
351#2413C2212yes—
352#2401C2212yes—
353#2401C2212yes—
354#2396C2212yes—
355#2379C2211yescharacteristic
356#2378C2212yes—
357#2374C2212yes—
358#2373C2212yes—
359#2369C2212yes—
360#2368C2212yes—
361#2368C2212yes—
362#2362C2212yes—
363#2362C2212yes—
364#2360C2212yes—
365#2359C2212yes—
366Q8×C4⋊C4C2211yescharacteristic
367#2337C2212yes—
368#2333C2212yes—
369#2329C2211yescharacteristic
370#2329C2211yescharacteristic
371#2329C2211yescharacteristic
372#2329C2211yescharacteristic
373#2327C2212yes—
374#2325C2211yescharacteristic
375#2323C2212yes—
376#2323C2212yes—
377C4×C22⋊Q8C2211yescharacteristic
378C2×#387C2211yescharacteristic
379#562—44no—
380#557—44no—
381#544—44no—
382#544—48no—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2311yescharacteristic
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
390C2×C4⋊Q8C2312yes—
391#529—44no—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#125C2312yes—
395C2×#125C2311yescharacteristic
396C2×#125C2312yes—
397C2×#125C2311yescharacteristic
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#124C2311yescharacteristic
407C2×#124C2311yescharacteristic
408C2×#124C2312yes—
409C2×#124C2312yes—
410C2×#124C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2311yescharacteristic
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
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×#121C2311yescharacteristic
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2311yescharacteristic
439C2×#121C2312yes—
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
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—
454C22×C4⋊C4C2312yes—
455C22×C4⋊C4C2311yescharacteristic
456C22×C4⋊C4C2311yescharacteristic
457C22×C42C2311yescharacteristic
458#401C2312yes—
459#401C2312yes—
460#401C2312yes—
461#401C2312yes—
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#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
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#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#396C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
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#394C2312yes—
672#394C2312yes—
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#393C2312yes—
694#393C2312yes—
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#391C2311yescharacteristic
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2311yescharacteristic
727#391C2311yescharacteristic
728#391C2311yescharacteristic
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#391C2312yes—
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2311yescharacteristic
746#390C2312yes—
747#390C2312yes—
748#390C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2311yescharacteristic
781#389C2311yescharacteristic
782#389C2312yes—
783#389C2311yescharacteristic
784#389C2311yescharacteristic
785#389C2311yescharacteristic
786#389C2311yescharacteristic
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2311yescharacteristic
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
961#387C2312yes—
962#387C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#384C2312yes—
1016#384C2312yes—
1017#384C2312yes—
1018#384C2311yescharacteristic
1019#384C2312yes—
1020#384C2312yes—
1021#383C2312yes—
1022#383C2312yes—
1023#383C2312yes—
1024#383C2312yes—
1025#383C2312yes—
1026#382C2311yescharacteristic
1027#382C2312yes—
1028#382C2312yes—
1029#382C2311yescharacteristic
1030#382C2312yes—
1031#382C2312yes—
1032#382C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#380C2311yescharacteristic
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2311yescharacteristic
1049#380C2311yescharacteristic
1050#380C2311yescharacteristic
1051#380C2311yescharacteristic
1052#380C2311yescharacteristic
1053#380C2312yes—
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⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×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—
1094C4×C22⋊C4C2312yes—
1095#376C2312yes—
1096#376C2312yes—
1097#376C2312yes—
1098C2×#95C2311yescharacteristic
1099C2×#95C2311yescharacteristic
1100C2×#95C2311yescharacteristic
1101C2×#95C2311yescharacteristic
1102C2×#95C2312yes—
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2411yescharacteristic
1106C22×Q8C2412yes—
1107C22×Q8C2412yes—
1108C22×Q8C2412yes—
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2411yescharacteristic
1112C22×D4C2411yescharacteristic
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2411yescharacteristic
1117C22×D4C2412yes—
1118C23×C4C2411yescharacteristic
1119C23×C4C2412yes—
1120C23×C4C2412yes—
1121C23×C4C2411yescharacteristic
1122C23×C4C2411yescharacteristic
1123C23×C4C2411yescharacteristic
1124C23×C4C2412yes—
1125C23×C4C2411yescharacteristic
1126C23×C4C2411yescharacteristic
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2411yescharacteristic
1131C4⋊Q8—28no—
1132C4⋊Q8—28no—
1133C4⋊Q8—42no—
1134C4⋊Q8—44no—
1135C4⋊Q8—44no—
1136C4⋊Q8—44no—
1137C4⋊Q8—82no—
1138C4⋊Q8—82no—
1139#126—44no—
1140#126—44no—
1141#125—42no—
1142#125—44no—
1143#125—44no—
1144#125—44no—
1145#125—44no—
1146#125—42no—
1147#125—44no—
1148#125—44no—
1149#125—44no—
1150#125—44no—
1151#125—44no—
1152#125—82no—
1153#124—24no—
1154#124—42no—
1155#124—44no—
1156#124—82no—
1157#124—82no—
1158#123—44no—
1159#123—44no—
1160#123—44no—
1161#123—44no—
1162#123—44no—
1163#123—82no—
1164#123—82no—
1165C22⋊Q8—24no—
1166C22⋊Q8—28no—
1167C22⋊Q8—28no—
1168C22⋊Q8—28no—
1169C22⋊Q8—24no—
1170C22⋊Q8—44no—
1171C22⋊Q8—42no—
1172C22⋊Q8—44no—
1173C22⋊Q8—44no—
1174C22⋊Q8—44no—
1175C22⋊Q8—44no—
1176C22⋊Q8—42no—
1177C22⋊Q8—44no—
1178C22⋊Q8—82no—
1179C22⋊Q8—82no—
1180C22⋊Q8—82no—
1181C22⋊Q8—82no—
1182#121—44no—
1183#121—44no—
1184#121—44no—
1185#121—42no—
1186#121—42no—
1187C4×Q8—24no—
1188C4×Q8—42no—
1189C4×Q8—44no—
1190C4×Q8—44no—
1191C4×Q8—82no—
1192C4×Q8—82no—
1193C4×D4—44no—
1194C4×D4—42no—
1195C4×D4—82no—
1196#117—44no—
1197#117—44no—
1198#117—44no—
1199#117—44no—
1200#117—82no—
1201C2×C4⋊C4—44no—
1202C2×C4⋊C4—42no—
1203C2×C4⋊C4—42no—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2411yescharacteristic
1212C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2411yescharacteristic
1274C2×C4⋊C4C2411yescharacteristic
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2411yescharacteristic
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2411yescharacteristic
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C42—42no—
1370C2×C42C2412yes—
1371C2×C42C2412yes—
1372C2×C42C2412yes—
1373C2×C42C2411yescharacteristic
1374C2×C42C2411yescharacteristic
1375C2×C42C2411yescharacteristic
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2411yescharacteristic
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
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—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520C24C2512yes—
1521C24C2512yes—
1522C24C2511yescharacteristic
1523C2×Q8—24no—
1524C2×Q8—24no—
1525C2×Q8—41no—
1526C2×Q8—41no—
1527C2×Q8—41no—
1528C2×Q8—41no—
1529C2×Q8—42no—
1530C2×Q8—42no—
1531C2×Q8—42no—
1532C2×Q8—42no—
1533C2×Q8—41no—
1534C2×Q8—41no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—41no—
1538C2×Q8—42no—
1539C2×Q8—42no—
1540C2×Q8—42no—
1541C2×Q8—42no—
1542C2×Q8—41no—
1543C2×Q8—42no—
1544C2×Q8—42no—
1545C2×Q8—41no—
1546C2×Q8—42no—
1547C2×Q8—41no—
1548C2×Q8H(5,𝔽2)14yes—
1549C2×Q82−1+414yes—
1550C2×D4—24no—
1551C2×D4—24no—
1552C2×D4—22no—
1553C2×D4—42no—
1554C2×D4—42no—
1555C2×D4—41no—
1556C2×D4—41no—
1557C2×D4—42no—
1558C2×D4—42no—
1559C2×D4—42no—
1560C2×D4—42no—
1561C2×D4—41no—
1562C2×D4—42no—
1563C2×D4—41no—
1564C2×D4—42no—
1565C2×D4—42no—
1566C2×D4—42no—
1567C2×D4—41no—
1568C22×C4—22no—
1569C22×C4—22no—
1570C22×C4—22no—
1571C22×C4—24no—
1572C22×C4—22no—
1573C22×C4—24no—
1574C22×C4—22no—
1575C22×C4—24no—
1576C22×C4—42no—
1577C22×C4—41no—
1578C22×C4—42no—
1579C22×C4—41no—
1580C22×C4—41no—
1581C22×C4—41no—
1582C22×C4—42no—
1583C22×C4—42no—
1584C22×C4—41no—
1585C22×C4—41no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—41no—
1589C22×C4—41no—
1590C22×C4—41no—
1591C22×C4—41no—
1592C22×C4—42no—
1593C22×C4—41no—
1594C22×C4—41no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—41no—
1601C22×C4—41no—
1602C22×C4—41no—
1603C22×C4—42no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—41no—
1607C22×C4C2512yes—
1608C22×C4C2512yes—
1609C22×C4C2512yes—
1610C22×C4C2512yes—
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2511yescharacteristic
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2512yes—
1620C22×C4C2512yes—
1621C22×C4C2511yescharacteristic
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2511yescharacteristic
1631C22×C4C2512yes—
1632C22×C4C2511yescharacteristic
1633C22×C4C2512yes—
1634C22×C4C2512yes—
1635C22×C4C2511yescharacteristic
1636C22×C4C2512yes—
1637C22×C4C2511yescharacteristic
1638C22×C4C2512yes—
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—24no—
1651C4⋊C4—24no—
1652C4⋊C4—24no—
1653C4⋊C4—24no—
1654C4⋊C4—24no—
1655C4⋊C4—24no—
1656C4⋊C4—22no—
1657C4⋊C4—24no—
1658C4⋊C4—24no—
1659C4⋊C4—24no—
1660C4⋊C4—24no—
1661C4⋊C4—24no—
1662C4⋊C4—42no—
1663C4⋊C4—42no—
1664C4⋊C4—42no—
1665C4⋊C4—42no—
1666C4⋊C4—42no—
1667C4⋊C4—42no—
1668C4⋊C4—41no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—41no—
1672C4⋊C4—42no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—41no—
1676C4⋊C4—41no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—41no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—42no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—41no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—41no—
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—41no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—41no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—41no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—41no—
1735C4⋊C4—41no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—41no—
1739C4⋊C4—41no—
1740C4⋊C4—41no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
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—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—
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—41no—
1810C42—41no—
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—
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—44no—
1858Q8—84no—
1859Q8—84no—
1860Q8—162no—
1861Q8—161no—
1862Q8—162no—
1863Q8—162no—
1864Q8—161no—
1865D4—82no—
1866D4—84no—
1867D4—84no—
1868D4—162no—
1869D4—161no—
1870D4—162no—
1871C2×C4—21no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—21no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—21no—
1878C2×C4—21no—
1879C2×C4—22no—
1880C2×C4—21no—
1881C2×C4—21no—
1882C2×C4—21no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—21no—
1887C2×C4—22no—
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—22no—
1901C2×C4—21no—
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—21no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—21no—
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—22no—
1950C2×C4—22no—
1951C2×C4—21no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—21no—
1961C2×C4—21no—
1962C2×C4—21no—
1963C2×C4—48no—
1964C2×C4—44no—
1965C2×C4—82no—
1966C2×C4—84no—
1967C2×C4—82no—
1968C2×C4—84no—
1969C2×C4—82no—
1970C2×C4—82no—
1971C2×C4—161no—
1972C2×C4—161no—
1973C2×C4—162no—
1974C2×C4—162no—
1975C2×C4—162no—
1976C2×C4C2×H(5,𝔽2)12yes—
1977C2×C4C2×H(5,𝔽2)14yes—
1978C2×C4C2×2−1+414yes—
1979C2×C4C2×2−1+412yes—
1980C22—22no—
1981C22—22no—
1982C22—22no—
1983C22—41no—
1984C22—41no—
1985C22—41no—
1986C22—41no—
1987C22—42no—
1988C22—42no—
1989C22—42no—
1990C22—42no—
1991C22—42no—
1992C22—42no—
1993C22—42no—
1994C22—42no—
1995C22—42no—
1996C22—42no—
1997C22—42no—
1998C22—42no—
1999C22—42no—
2000C22—42no—
2001C22C22×H(5,𝔽2)11yescharacteristic
2002C22C22×2−1+411yescharacteristic
2003C22C2×#58511yescharacteristic
2004C22H(7,𝔽2)11yescharacteristic
2005C222−1+611yescharacteristic
2006C222−1+611yescharacteristic
2007C222−1+611yescharacteristic
2008C4—22no—
2009C4—24no—
2010C4—24no—
2011C4—22no—
2012C4—42no—
2013C4—42no—
2014C4—42no—
2015C4—42no—
2016C4—42no—
2017C4—42no—
2018C4—41no—
2019C4—42no—
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—41no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—41no—
2034C4—41no—
2035C4—42no—
2036C4—42no—
2037C4—42no—
2038C4—42no—
2039C4—42no—
2040C2—42no—
2041C2—82no—
2042C2—82no—
2043C2#6286611yescharacteristic
2044C2#6287211yescharacteristic
2045C2#6289311yescharacteristic
2046C2#6291911yescharacteristic
2047C2#6294911yescharacteristic
2048C2#6297911yescharacteristic
2049C2#6306111yescharacteristic
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. #58612C2semidirect
2. #58505C2semidirect
3. #57259C2semidirect
4. #57241C2semidirect
5. #56969C2semidirect
6. #56902C2semidirect
7. #56358C2semidirect
8. #55747C2semidirect
9. #55712C2semidirect
10. #55685C2semidirect
11. #55485C2semidirect
12. #53845C2semidirect
13. #53219C2semidirect
14. #52469C2semidirect
15. #51882C2semidirect
16. #51868C2semidirect
17. #51599C2semidirect
18. #49567C2semidirect
19. #49490C2semidirect
20. #47799C2semidirect
21. #46909C2semidirect
23. #45099C2semidirect
24. #43806C2semidirect
25. #43799C2semidirect
26. #42854C2semidirect
27. #42293C2semidirect
28. #41911C2semidirect
29. #41860C2semidirect
30. #41771C2semidirect
31. #39678C2semidirect
32. #39127C2semidirect
33. #37755C2semidirect
34. #37211C2semidirect
35. #36764C2semidirect

Maximal subgroups

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

subgroupindex
#586122
#585052
#572592
#572412
#569692
#569022
#563582
#557472
#557122
#556852
#554852
#538452
#532192
#524692
#518822
#518682
#515992
#495672
#494902
#477992
#469092
#461332
#450992
#438062
#437992
#428542
#422932
#419112
#418602
#417712
#396782
#391272
#377552
#372112
#367642