Finite Group Databasebeta

← #9435231

Subgroups — #9435231

Order 512.

4193 conjugacy classes of subgroups.

The subgroup lattice has 2065 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58970C212yesmaximal, complemented
2#58282C212yesmaximal, complemented
3#57534C212yesmaximal, complemented
4#57280C212yesmaximal, complemented
5#57228C212yesmaximal, complemented
6#56716C212yesmaximal, complemented
7#56688C212yesmaximal, complemented
8#56455C212yesmaximal, complemented
9#55146C212yesmaximal, complemented
10#54830C212yesmaximal, complemented
11#53725C212yesmaximal, complemented
12#53475C212yesmaximal, complemented
13#53374C212yesmaximal, complemented
14#53216C211yesmaximal, characteristic, complemented
15#52014C212yesmaximal, complemented
16#50168C212yesmaximal, complemented
17#49611C212yesmaximal, complemented
18#48594C212yesmaximal, complemented
19#48037C212yesmaximal, complemented
20#47982C212yesmaximal, complemented
21#47132C212yesmaximal, complemented
22#46923C212yesmaximal, complemented
23#46444C212yesmaximal, complemented
24#46132C211yesmaximal, characteristic, complemented
25#45918C212yesmaximal, complemented
26#40301C212yesmaximal, complemented
27#39671C211yesmaximal, characteristic, complemented
28#39655C212yesmaximal, complemented
29#39370C212yesmaximal, complemented
30#39136C211yesmaximal, characteristic
31#37755C211yesmaximal, characteristic, complemented
32#37210C211yesmaximal, characteristic, complemented
33#37074C212yesmaximal, complemented
34#36989C212yesmaximal, complemented
35#36751C211yesmaximal, characteristic, complemented
36C2×#563C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#544C2212yes—
39C2×#544C2211yescharacteristic
40C2×#529C2211yescharacteristic
41#2866C2212yes—
42#2863C2212yes—
43#2861C2212yes—
44#2859C2212yes—
45#2857C2211yescharacteristic
46#2855C2211yescharacteristic
47#2851C2211yescharacteristic
48#2851C2211yescharacteristic
49#2841C2212yes—
50#2841C2212yes—
51#2839C2212yes—
52#2837C2212yes—
53#2836C2212yes—
54#2836C2212yes—
55#2832C2212yes—
56#2832C2212yes—
57#2831C2212yes—
58#2831C2212yes—
59#2830C2212yes—
60#2822C2211yescharacteristic
61#2822C2211yescharacteristic
62#2814C2212yes—
63#2814C2212yes—
64#2809C2211yescharacteristic
65#2808C2211yescharacteristic
66#2806C2212yes—
67#2806C2212yes—
68#2806C2212yes—
69#2805C2212yes—
70#2805C2212yes—
71#2805C2211yescharacteristic
72#2802C2212yes—
73#2802C2212yes—
74#2802C2212yes—
75#2802C2212yes—
76#2802C2212yes—
77#2800C2212yes—
78#2800C2212yes—
79#2799C2212yes—
80#2798C2212yes—
81#2796C2212yes—
82#2794C2212yes—
83#2793C2212yes—
84#2792C2212yes—
85#2792C2212yes—
86#2791C2212yes—
87#2791C2212yes—
88#2791C2212yes—
89#2791C2212yes—
90#2791C2212yes—
91#2790C2212yes—
92#2790C2212yes—
93#2788C2212yes—
94#2788C2212yes—
95#2787C2212yes—
96#2786C2212yes—
97#2784C2212yes—
98#2779C2212yes—
99#2777C2212yes—
100#2777C2212yes—
101#2777C2212yes—
102#2774C2212yes—
103#2774C2212yes—
104#2774C2212yes—
105#2774C2212yes—
106#2773C2212yes—
107#2772C2212yes—
108#2772C2212yes—
109#2771C2212yes—
110#2768C2212yes—
111#2768C2212yes—
112#2768C2212yes—
113#2767C2212yes—
114#2766C2212yes—
115#2765C2212yes—
116#2761C2212yes—
117#2761C2212yes—
118#2755C2212yes—
119#2755C2212yes—
120#2755C2212yes—
121#2755C2212yes—
122#2753C2212yes—
123#2751C2212yes—
124#2751C2212yes—
125#2749C2212yes—
126#2747C2212yes—
127#2745C2212yes—
128#2744C2212yes—
129#2744C2212yes—
130#2740C2212yes—
131#2739C2212yes—
132#2738C2212yes—
133#2738C2212yes—
134#2737C2212yes—
135#2734C2211yescharacteristic
136#2732C2212yes—
137#2731C2212yes—
138#2730C2212yes—
139#2729C2212yes—
140#2729C2212yes—
141#2729C2212yes—
142#2729C2212yes—
143#2729C2212yes—
144#2729C2212yes—
145#2729C2212yes—
146#2729C2212yes—
147#2727C2211yescharacteristic
148#2727C2212yes—
149#2727C2212yes—
150#2726C2212yes—
151#2726C2211yescharacteristic
152#2726C2212yes—
153#2726C2211yescharacteristic
154#2726C2211yescharacteristic
155#2725C2212yes—
156#2725C2212yes—
157#2725C2212yes—
158#2725C2212yes—
159#2725C2212yes—
160#2725C2212yes—
161#2722C2212yes—
162#2722C2212yes—
163#2721C2212yes—
164#2721C2212yes—
165#2721C2212yes—
166#2720C2212yes—
167#2720C2212yes—
168#2720C2212yes—
169#2719C2212yes—
170#2719C2212yes—
171#2719C2212yes—
172#2718C2212yes—
173#2716C2212yes—
174#2716C2212yes—
175#2716C2212yes—
176#2716C2212yes—
177#2716C2212yes—
178#2716C2212yes—
179#2715C2212yes—
180#2715C2212yes—
181#2713C2212yes—
182#2713C2212yes—
183#2711C2212yes—
184#2708C2212yes—
185#2705C2212yes—
186#2705C2212yes—
187#2704C2212yes—
188#2704C2212yes—
189#2704C2212yes—
190#2704C2212yes—
191#2704C2212yes—
192#2704C2212yes—
193#2702C2212yes—
194#2701C2212yes—
195#2700C2212yes—
196#2700C2212yes—
197#2698C2212yes—
198#2695C2212yes—
199#2695C2212yes—
200#2695C2212yes—
201#2694C2212yes—
202#2692C2212yes—
203#2691C2212yes—
204#2690C2212yes—
205#2690C2212yes—
206#2689C2212yes—
207#2689C2212yes—
208#2689C2212yes—
209#2687C2212yes—
210#2686C2212yes—
211#2683C2212yes—
212#2681C2212yes—
213#2677C2212yes—
214#2674C2212yes—
215#2672C2212yes—
216#2666C2212yes—
217#2666C2212yes—
218#2664C2212yes—
219#2664C2212yes—
220#2659C2211yescharacteristic
221#2659C2211yescharacteristic
222#2655C2212yes—
223#2655C2212yes—
224#2654C2212yes—
225#2653C2212yes—
226#2652C2212yes—
227#2646C2211yescharacteristic
228#2646C2211yescharacteristic
229#2639C2211yescharacteristic
230#2638C2212yes—
231#2638C2212yes—
232#2637C2212yes—
233#2637C2212yes—
234#2630C2212yes—
235#2629C2212yes—
236#2629C2212yes—
237#2625C2212yes—
238#2620C2212yes—
239#2618C2211yescharacteristic
240#2602C2212yes—
241#2601C2212yes—
242#2601C2212yes—
243#2601C2212yes—
244#2601C2212yes—
245#2600C2212yes—
246#2596C2212yes—
247#2595C2212yes—
248#2595C2212yes—
249#2593C2212yes—
250#2590C2212yes—
251#2589C2212yes—
252#2588C2212yes—
253#2588C2212yes—
254#2588C2212yes—
255#2587C2212yes—
256#2585C2212yes—
257#2585C2212yes—
258#2585C2212yes—
259#2584C2212yes—
260#2579C2212yes—
261#2579C2212yes—
262#2575C2212yes—
263#2575C2212yes—
264#2574C2212yes—
265#2567C2212yes—
266#2565C2212yes—
267#2560C2212yes—
268#2560C2212yes—
269#2559C2212yes—
270#2558C2212yes—
271#2558C2212yes—
272#2556C2212yes—
273#2552C2212yes—
274#2551C2212yes—
275#2549C2212yes—
276#2549C2212yes—
277#2549C2212yes—
278#2546C2212yes—
279#2546C2212yes—
280#2542C2211yescharacteristic
281#2540C2212yes—
282#2538C2212yes—
283#2538C2212yes—
284#2538C2212yes—
285#2537C2211yescharacteristic
286#2536C2212yes—
287#2522C2212yes—
288#2522C2212yes—
289#2519C2212yes—
290#2511C2212yes—
291#2507C2212yes—
292#2506C2212yes—
293#2506C2212yes—
294#2492C2212yes—
295#2488C2212yes—
296#2484C2212yes—
297#2479C2212yes—
298#2478C2212yes—
299#2478C2212yes—
300#2478C2212yes—
301#2477C2212yes—
302#2475C2212yes—
303#2475C2212yes—
304#2475C2212yes—
305#2475C2212yes—
306#2474C2212yes—
307#2474C2212yes—
308#2473C2212yes—
309#2471C2212yes—
310#2469C2212yes—
311#2468C2212yes—
312#2468C2212yes—
313#2466C2212yes—
314#2465C2212yes—
315#2465C2212yes—
316#2465C2212yes—
317#2462C2212yes—
318#2462C2212yes—
319#2460C2212yes—
320#2458C2212yes—
321#2457C2212yes—
322#2452C2212yes—
323#2452C2212yes—
324#2452C2212yes—
325#2451C2212yes—
326#2451C2212yes—
327#2451C2212yes—
328#2451C2212yes—
329#2450C2212yes—
330#2450C2212yes—
331#2450C2212yes—
332#2450C2212yes—
333#2446C2212yes—
334#2446C2212yes—
335#2446C2212yes—
336#2446C2212yes—
337#2443C2212yes—
338#2442C2212yes—
339#2442C2212yes—
340#2441C2212yes—
341#2439C2212yes—
342#2439C2212yes—
343#2439C2212yes—
344#2438C2212yes—
345#2438C2212yes—
346#2438C2212yes—
347#2429C2212yes—
348#2429C2212yes—
349#2426C2212yes—
350#2425C2212yes—
351#2423C2212yes—
352#2419C2212yes—
353#2414C2212yes—
354#2413C2212yes—
355#2379C2211yescharacteristic
356#2378C2212yes—
357#2376C2212yes—
358#2365C2212yes—
359#2359C2212yes—
360#2354C2212yes—
361Q8×C4⋊C4C2211yescharacteristic
362D4×C4⋊C4C2212yes—
363#2336C2212yes—
364#2336C2212yes—
365#2335C2212yes—
366#2332C2212yes—
367#2329C2212yes—
368#2329C2211yescharacteristic
369#2325C2211yescharacteristic
370#2325C2211yescharacteristic
371#2323C2212yes—
372#2316C2211yescharacteristic
373#2313C2211yescharacteristic
374C4×C4⋊Q8C2212yes—
375C4×#125C2212yes—
376C4×#121C2211yescharacteristic
377#2293C2212yes—
378C2×#387C2211yescharacteristic
379#563—44no—
380#556—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—
391C2×C4⋊Q8C2312yes—
392#529—44no—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#126C2312yes—
401C2×#126C2312yes—
402C2×#125C2312yes—
403C2×#125C2311yescharacteristic
404C2×#125C2311yescharacteristic
405C2×#125C2311yescharacteristic
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#124C2311yescharacteristic
416C2×#124C2312yes—
417C2×#124C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2311yescharacteristic
425C2×C22⋊Q8C2312yes—
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×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×#121C2311yescharacteristic
441C2×#121C2311yescharacteristic
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×#117C2312yes—
458C2×#117C2312yes—
459C2×#117C2312yes—
460C2×#117C2312yes—
461C2×#117C2312yes—
462C2×#117C2312yes—
463C22×C4⋊C4C2311yescharacteristic
464C22×C4⋊C4C2312yes—
465C22×C4⋊C4C2311yescharacteristic
466C22×C42C2311yescharacteristic
467#401C2312yes—
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#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
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#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#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#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#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#395C2312yes—
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#393C2312yes—
692#393C2312yes—
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#392C2312yes—
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#391C2311yescharacteristic
727#391C2311yescharacteristic
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#390C2312yes—
738#390C2312yes—
739#390C2312yes—
740#390C2312yes—
741#390C2312yes—
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
746#390C2312yes—
747#390C2311yescharacteristic
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#389C2311yescharacteristic
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2311yescharacteristic
790#389C2311yescharacteristic
791#389C2311yescharacteristic
792#389C2311yescharacteristic
793#389C2312yes—
794#389C2311yescharacteristic
795#389C2311yescharacteristic
796#389C2312yes—
797#389C2312yes—
798#389C2311yescharacteristic
799#389C2311yescharacteristic
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
811#389C2312yes—
812#389C2312yes—
813#389C2312yes—
814#389C2312yes—
815#389C2312yes—
816#389C2312yes—
817#389C2312yes—
818#389C2312yes—
819#389C2312yes—
820#389C2312yes—
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#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
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#387C2312yes—
964#387C2312yes—
965#387C2312yes—
966#387C2312yes—
967#387C2312yes—
968#387C2312yes—
969#387C2312yes—
970#387C2312yes—
971#387C2312yes—
972#387C2312yes—
973#387C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
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#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#384C2312yes—
1025#384C2312yes—
1026#384C2312yes—
1027#384C2311yescharacteristic
1028#384C2312yes—
1029#384C2312yes—
1030#384C2312yes—
1031#383C2312yes—
1032#383C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#382C2311yescharacteristic
1036#382C2311yescharacteristic
1037#382C2312yes—
1038#382C2312yes—
1039#382C2312yes—
1040#382C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#381C2312yes—
1047#381C2312yes—
1048#380C2311yescharacteristic
1049#380C2311yescharacteristic
1050#380C2311yescharacteristic
1051#380C2311yescharacteristic
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2311yescharacteristic
1057#380C2311yescharacteristic
1058#380C2312yes—
1059#380C2311yescharacteristic
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2311yescharacteristic
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070#380C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2311yescharacteristic
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C2×#95C2311yescharacteristic
1098C2×#95C2311yescharacteristic
1099C2×#95C2311yescharacteristic
1100C2×#95C2312yes—
1101C2×#95C2311yescharacteristic
1102C43C2312yes—
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2412yes—
1106C22×Q8C2412yes—
1107C22×Q8C2412yes—
1108C22×Q8C2412yes—
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2411yescharacteristic
1111C22×D4C2412yes—
1112C22×D4C2411yescharacteristic
1113C22×D4C2411yescharacteristic
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C23×C4C2412yes—
1118C23×C4C2411yescharacteristic
1119C23×C4C2412yes—
1120C23×C4C2411yescharacteristic
1121C23×C4C2411yescharacteristic
1122C23×C4C2412yes—
1123C23×C4C2411yescharacteristic
1124C23×C4C2411yescharacteristic
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2411yescharacteristic
1128C23×C4C2412yes—
1129C23×C4C2411yescharacteristic
1130C4⋊Q8—28no—
1131C4⋊Q8—28no—
1132C4⋊Q8—42no—
1133C4⋊Q8—44no—
1134C4⋊Q8—44no—
1135C4⋊Q8—44no—
1136C4⋊Q8—82no—
1137C4⋊Q8—82no—
1138C4⋊Q8—82no—
1139#126—44no—
1140#126—44no—
1141#126—44no—
1142#126—44no—
1143#126—44no—
1144#126—82no—
1145#126—82no—
1146#126—82no—
1147#126—82no—
1148#125—28no—
1149#125—42no—
1150#125—44no—
1151#125—44no—
1152#125—44no—
1153#125—42no—
1154#125—42no—
1155#125—44no—
1156#125—44no—
1157#125—44no—
1158#125—82no—
1159#125—82no—
1160#125—82no—
1161#124—24no—
1162#124—44no—
1163#124—82no—
1164#123—28no—
1165#123—44no—
1166#123—44no—
1167#123—82no—
1168#123—82no—
1169C22⋊Q8—24no—
1170C22⋊Q8—28no—
1171C22⋊Q8—28no—
1172C22⋊Q8—44no—
1173C22⋊Q8—44no—
1174C22⋊Q8—44no—
1175C22⋊Q8—44no—
1176C22⋊Q8—44no—
1177C22⋊Q8—42no—
1178C22⋊Q8—44no—
1179C22⋊Q8—82no—
1180C22⋊Q8—82no—
1181C22⋊Q8—82no—
1182C22⋊Q8—82no—
1183C22⋊Q8—82no—
1184C22⋊Q8—82no—
1185C22⋊Q8—82no—
1186#121—24no—
1187#121—42no—
1188#121—82no—
1189#121—82no—
1190C4×Q8—24no—
1191C4×Q8—44no—
1192C4×Q8—82no—
1193C4×Q8—82no—
1194C4×Q8—82no—
1195C4×Q8—82no—
1196C4×D4—28no—
1197C4×D4—44no—
1198C4×D4—42no—
1199C4×D4—42no—
1200C4×D4—82no—
1201C4×D4—82no—
1202C4×D4—82no—
1203#117—44no—
1204#117—44no—
1205#117—44no—
1206#117—44no—
1207#117—44no—
1208#117—82no—
1209C2×C4⋊C4—24no—
1210C2×C4⋊C4—42no—
1211C2×C4⋊C4—44no—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2411yescharacteristic
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2411yescharacteristic
1266C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2411yescharacteristic
1292C2×C4⋊C4C2411yescharacteristic
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2411yescharacteristic
1317C2×C4⋊C4C2411yescharacteristic
1318C2×C4⋊C4C2411yescharacteristic
1319C2×C4⋊C4C2411yescharacteristic
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C42—42no—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2411yescharacteristic
1391C2×C42C2412yes—
1392C2×C42C2411yescharacteristic
1393C2×C42C2412yes—
1394C2×C42C2411yescharacteristic
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2411yescharacteristic
1415C2×C42C2412yes—
1416C2×C42C2412yes—
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—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529C24C2512yes—
1530C24C2512yes—
1531C24C2511yescharacteristic
1532C2×Q8—24no—
1533C2×Q8—24no—
1534C2×Q8—24no—
1535C2×Q8—41no—
1536C2×Q8—41no—
1537C2×Q8—42no—
1538C2×Q8—42no—
1539C2×Q8—42no—
1540C2×Q8—42no—
1541C2×Q8—42no—
1542C2×Q8—42no—
1543C2×Q8—42no—
1544C2×Q8—42no—
1545C2×Q8—42no—
1546C2×Q8—41no—
1547C2×Q8—42no—
1548C2×Q8—42no—
1549C2×Q8—42no—
1550C2×Q8—42no—
1551C2×Q8—41no—
1552C2×Q8—42no—
1553C2×Q8—41no—
1554C2×Q8—42no—
1555C2×Q8H(5,𝔽2)14yes—
1556C2×D4—24no—
1557C2×D4—24no—
1558C2×D4—22no—
1559C2×D4—24no—
1560C2×D4—22no—
1561C2×D4—42no—
1562C2×D4—42no—
1563C2×D4—41no—
1564C2×D4—42no—
1565C2×D4—41no—
1566C2×D4—41no—
1567C2×D4—42no—
1568C2×D4—41no—
1569C2×D4—42no—
1570C2×D4—42no—
1571C2×D4—42no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C22×C4—22no—
1575C22×C4—22no—
1576C22×C4—24no—
1577C22×C4—22no—
1578C22×C4—24no—
1579C22×C4—22no—
1580C22×C4—24no—
1581C22×C4—41no—
1582C22×C4—42no—
1583C22×C4—41no—
1584C22×C4—41no—
1585C22×C4—42no—
1586C22×C4—41no—
1587C22×C4—41no—
1588C22×C4—41no—
1589C22×C4—42no—
1590C22×C4—41no—
1591C22×C4—42no—
1592C22×C4—42no—
1593C22×C4—41no—
1594C22×C4—41no—
1595C22×C4—42no—
1596C22×C4—41no—
1597C22×C4—42no—
1598C22×C4—41no—
1599C22×C4—41no—
1600C22×C4—42no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—41no—
1604C22×C4—41no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—41no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—41no—
1612C22×C42−1+414yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2511yescharacteristic
1620C22×C4C2511yescharacteristic
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2511yescharacteristic
1635C22×C4C2512yes—
1636C22×C4C2511yescharacteristic
1637C22×C4C2512yes—
1638C22×C4C2512yes—
1639C22×C4C2512yes—
1640C22×C4C2511yescharacteristic
1641C22×C4C2512yes—
1642C22×C4C2511yescharacteristic
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C4⋊C4—24no—
1646C4⋊C4—24no—
1647C4⋊C4—22no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—24no—
1652C4⋊C4—22no—
1653C4⋊C4—24no—
1654C4⋊C4—24no—
1655C4⋊C4—24no—
1656C4⋊C4—24no—
1657C4⋊C4—24no—
1658C4⋊C4—24no—
1659C4⋊C4—24no—
1660C4⋊C4—24no—
1661C4⋊C4—24no—
1662C4⋊C4—24no—
1663C4⋊C4—24no—
1664C4⋊C4—24no—
1665C4⋊C4—24no—
1666C4⋊C4—24no—
1667C4⋊C4—24no—
1668C4⋊C4—24no—
1669C4⋊C4—24no—
1670C4⋊C4—24no—
1671C4⋊C4—24no—
1672C4⋊C4—42no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—41no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—42no—
1683C4⋊C4—42no—
1684C4⋊C4—41no—
1685C4⋊C4—42no—
1686C4⋊C4—41no—
1687C4⋊C4—42no—
1688C4⋊C4—41no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—41no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—41no—
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—41no—
1717C4⋊C4—41no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—41no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—41no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—41no—
1743C4⋊C4—41no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—41no—
1747C4⋊C4—41no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—41no—
1755C4⋊C4—41no—
1756C4⋊C4—41no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C42−1+414yes—
1761C22⋊C4—24no—
1762C22⋊C4—24no—
1763C22⋊C4—24no—
1764C22⋊C4—24no—
1765C22⋊C4—24no—
1766C22⋊C4—24no—
1767C22⋊C4—24no—
1768C22⋊C4—24no—
1769C22⋊C4—24no—
1770C22⋊C4—24no—
1771C22⋊C4—24no—
1772C22⋊C4—24no—
1773C22⋊C4—24no—
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—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C42—22no—
1820C42—22no—
1821C42—24no—
1822C42—24no—
1823C42—24no—
1824C42—24no—
1825C42—24no—
1826C42—41no—
1827C42—41no—
1828C42—42no—
1829C42—42no—
1830C42—42no—
1831C42—42no—
1832C42—42no—
1833C42—42no—
1834C42—42no—
1835C42—42no—
1836C42—42no—
1837C42—42no—
1838C42—42no—
1839C42—42no—
1840C42—42no—
1841C42—42no—
1842C42—42no—
1843C42—42no—
1844C42—42no—
1845C42—42no—
1846C42—42no—
1847C42—42no—
1848C42—42no—
1849C23—21no—
1850C23—21no—
1851C23—21no—
1852C23—21no—
1853C23—21no—
1854C23—21no—
1855C23—22no—
1856C23—22no—
1857C23—22no—
1858C23—22no—
1859C23—22no—
1860C23—22no—
1861C23—22no—
1862C23—22no—
1863C23—22no—
1864C23—22no—
1865C23—22no—
1866C23—22no—
1867C23—22no—
1868C23—22no—
1869C23C2×2−1+412yes—
1870C23C2611yescharacteristic
1871Q8—44no—
1872Q8—84no—
1873Q8—84no—
1874Q8—84no—
1875Q8—84no—
1876Q8—162no—
1877Q8—161no—
1878Q8—162no—
1879D4—48no—
1880D4—82no—
1881D4—82no—
1882D4—84no—
1883D4—84no—
1884D4—162no—
1885C2×C4—21no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—21no—
1891C2×C4—21no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—21no—
1895C2×C4—22no—
1896C2×C4—21no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—21no—
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—21no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—21no—
1924C2×C4—21no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—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—22no—
1952C2×C4—22no—
1953C2×C4—21no—
1954C2×C4—21no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—21no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—21no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—21no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—44no—
1977C2×C4—48no—
1978C2×C4—44no—
1979C2×C4—82no—
1980C2×C4—84no—
1981C2×C4—82no—
1982C2×C4—84no—
1983C2×C4—82no—
1984C2×C4—161no—
1985C2×C4—162no—
1986C2×C4—162no—
1987C2×C4—162no—
1988C2×C4—161no—
1989C2×C4C2×H(5,𝔽2)14yes—
1990C2×C4C2×H(5,𝔽2)12yes—
1991C2×C4C2×2−1+414yes—
1992C2×C4C2×2−1+414yes—
1993C2×C4C2×2−1+412yes—
1994C22—22no—
1995C22—22no—
1996C22—22no—
1997C22—41no—
1998C22—41no—
1999C22—41no—
2000C22—41no—
2001C22—42no—
2002C22—42no—
2003C22—42no—
2004C22—42no—
2005C22—42no—
2006C22—42no—
2007C22—42no—
2008C22—42no—
2009C22—42no—
2010C22—42no—
2011C22—42no—
2012C22—42no—
2013C22—42no—
2014C22—42no—
2015C22C22×H(5,𝔽2)11yescharacteristic
2016C22C22×2−1+411yescharacteristic
2017C22C22×2−1+411yescharacteristic
2018C22H(7,𝔽2)11yescharacteristic
2019C22H(7,𝔽2)11yescharacteristic
2020C222−1+611yescharacteristic
2021C222−1+611yescharacteristic
2022C4—22no—
2023C4—24no—
2024C4—24no—
2025C4—22no—
2026C4—24no—
2027C4—42no—
2028C4—41no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C4—42no—
2037C4—42no—
2038C4—41no—
2039C4—41no—
2040C4—42no—
2041C4—42no—
2042C4—42no—
2043C4—41no—
2044C4—42no—
2045C4—42no—
2046C4—42no—
2047C4—42no—
2048C4—42no—
2049C4—42no—
2050C4—42no—
2051C4—42no—
2052C4—42no—
2053C4—42no—
2054C2—42no—
2055C2—82no—
2056C2—82no—
2057C2#6286611yescharacteristic
2058C2#6287711yescharacteristic
2059C2#6289311yescharacteristic
2060C2#6291711yescharacteristic
2061C2#6294511yescharacteristic
2062C2#6297411yescharacteristic
2063C2#6305711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39136C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58970C2semidirect
2. #58282C2semidirect
3. #57534C2semidirect
4. #57280C2semidirect
5. #57228C2semidirect
6. #56716C2semidirect
7. #56688C2semidirect
8. #56455C2semidirect
9. #55146C2semidirect
10. #54830C2semidirect
11. #53725C2semidirect
12. #53475C2semidirect
13. #53374C2semidirect
14. #53216C2semidirect
15. #52014C2semidirect
16. #50168C2semidirect
17. #49611C2semidirect
18. #48594C2semidirect
19. #48037C2semidirect
20. #47982C2semidirect
21. #47132C2semidirect
22. #46923C2semidirect
23. #46444C2semidirect
24. #46132C2semidirect
25. #45918C2semidirect
26. #40301C2semidirect
27. #39671C2semidirect
28. #39655C2semidirect
29. #39370C2semidirect
31. #37755C2semidirect
32. #37210C2semidirect
33. #37074C2semidirect
34. #36989C2semidirect
35. #36751C2semidirect

Maximal subgroups

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

subgroupindex
#589702
#582822
#575342
#572802
#572282
#567162
#566882
#564552
#551462
#548302
#537252
#534752
#533742
#532162
#520142
#501682
#496112
#485942
#480372
#479822
#471322
#469232
#464442
#461322
#459182
#403012
#396712
#396552
#393702
#391362
#377552
#372102
#370742
#369892
#367512