Finite Group Databasebeta

← #9523592

Subgroups — #9523592

Order 512.

4061 conjugacy classes of subgroups.

The subgroup lattice has 2037 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58976C212yesmaximal, complemented
2#58740C212yesmaximal, complemented
3#58575C212yesmaximal, complemented
4#56974C212yesmaximal, complemented
5#56960C212yesmaximal, complemented
6#56857C212yesmaximal, complemented
7#56613C212yesmaximal, complemented
8#55885C212yesmaximal, complemented
9#55762C212yesmaximal, complemented
10#55657C212yesmaximal, complemented
11#55452C212yesmaximal, complemented
12#54918C212yesmaximal, complemented
13#53197C211yesmaximal, characteristic, complemented
14#52796C212yesmaximal, complemented
15#51748C212yesmaximal, complemented
16#51614C212yesmaximal, complemented
17#50509C212yesmaximal, complemented
18#49408C212yesmaximal, complemented
19#49259C212yesmaximal, complemented
20#47822C212yesmaximal, complemented
21#46931C212yesmaximal, complemented
22#45972C211yesmaximal, characteristic
23#44589C212yesmaximal, complemented
24#43868C212yesmaximal, complemented
25#43781C212yesmaximal, complemented
26#42793C212yesmaximal, complemented
27#42377C212yesmaximal, complemented
28#41835C212yesmaximal, complemented
29#41831C212yesmaximal, complemented
30#41565C212yesmaximal, complemented
31#39798C211yesmaximal, characteristic, complemented
32#39125C211yesmaximal, characteristic, complemented
33#37755C211yesmaximal, characteristic, complemented
34#37168C211yesmaximal, characteristic, complemented
35#36762C211yesmaximal, characteristic, complemented
36C2×#562C2211yescharacteristic
37C2×Q82C2211yescharacteristic
38C2×#544C2211yescharacteristic
39C2×#541C2212yes—
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#2836C2212yes—
53#2833C2212yes—
54#2832C2212yes—
55#2831C2212yes—
56#2831C2212yes—
57#2831C2212yes—
58#2830C2212yes—
59#2826C2212yes—
60#2822C2211yescharacteristic
61#2822C2212yes—
62#2821C2212yes—
63#2821C2212yes—
64#2820C2211yescharacteristic
65#2811C2211yescharacteristic
66#2809C2212yes—
67#2808C2212yes—
68#2808C2211yescharacteristic
69#2806C2212yes—
70#2806C2211yescharacteristic
71#2806C2211yescharacteristic
72#2805C2211yescharacteristic
73#2805C2211yescharacteristic
74#2804C2211yescharacteristic
75#2802C2212yes—
76#2802C2212yes—
77#2799C2212yes—
78#2799C2212yes—
79#2798C2212yes—
80#2798C2212yes—
81#2794C2212yes—
82#2791C2212yes—
83#2791C2212yes—
84#2790C2212yes—
85#2789C2212yes—
86#2788C2212yes—
87#2788C2212yes—
88#2787C2212yes—
89#2786C2212yes—
90#2784C2212yes—
91#2784C2212yes—
92#2781C2212yes—
93#2777C2212yes—
94#2776C2212yes—
95#2775C2212yes—
96#2775C2212yes—
97#2774C2212yes—
98#2774C2212yes—
99#2770C2212yes—
100#2768C2212yes—
101#2767C2212yes—
102#2766C2212yes—
103#2766C2212yes—
104#2765C2212yes—
105#2765C2212yes—
106#2764C2212yes—
107#2764C2212yes—
108#2762C2212yes—
109#2762C2212yes—
110#2762C2212yes—
111#2762C2212yes—
112#2759C2212yes—
113#2759C2212yes—
114#2758C2212yes—
115#2758C2212yes—
116#2758C2212yes—
117#2755C2212yes—
118#2755C2212yes—
119#2750C2212yes—
120#2750C2212yes—
121#2747C2212yes—
122#2746C2212yes—
123#2745C2212yes—
124#2744C2212yes—
125#2744C2212yes—
126#2743C2212yes—
127#2743C2212yes—
128#2741C2212yes—
129#2741C2212yes—
130#2740C2212yes—
131#2740C2212yes—
132#2739C2212yes—
133#2739C2212yes—
134#2738C2212yes—
135#2738C2212yes—
136#2738C2212yes—
137#2737C2212yes—
138#2737C2212yes—
139#2732C2212yes—
140#2731C2212yes—
141#2729C2212yes—
142#2729C2212yes—
143#2728C2212yes—
144#2726C2211yescharacteristic
145#2726C2212yes—
146#2725C2212yes—
147#2725C2212yes—
148#2721C2212yes—
149#2720C2212yes—
150#2720C2212yes—
151#2720C2212yes—
152#2720C2212yes—
153#2719C2212yes—
154#2719C2212yes—
155#2719C2212yes—
156#2719C2212yes—
157#2717C2212yes—
158#2717C2212yes—
159#2717C2212yes—
160#2716C2212yes—
161#2716C2212yes—
162#2716C2212yes—
163#2716C2212yes—
164#2716C2212yes—
165#2716C2212yes—
166#2716C2212yes—
167#2716C2212yes—
168#2715C2212yes—
169#2713C2212yes—
170#2713C2212yes—
171#2713C2212yes—
172#2713C2212yes—
173#2713C2212yes—
174#2712C2212yes—
175#2711C2212yes—
176#2710C2212yes—
177#2707C2212yes—
178#2706C2212yes—
179#2706C2212yes—
180#2704C2212yes—
181#2704C2212yes—
182#2702C2212yes—
183#2700C2212yes—
184#2698C2212yes—
185#2695C2212yes—
186#2694C2212yes—
187#2694C2212yes—
188#2693C2212yes—
189#2692C2212yes—
190#2691C2212yes—
191#2691C2212yes—
192#2691C2212yes—
193#2690C2212yes—
194#2690C2212yes—
195#2688C2212yes—
196#2687C2212yes—
197#2687C2212yes—
198#2674C2212yes—
199#2674C2212yes—
200#2672C2212yes—
201#2667C2212yes—
202#2665C2212yes—
203#2663C2212yes—
204#2663C2212yes—
205#2659C2211yescharacteristic
206#2654C2212yes—
207#2654C2212yes—
208#2653C2212yes—
209#2653C2212yes—
210#2653C2212yes—
211#2650C2212yes—
212#2650C2212yes—
213#2649C2212yes—
214#2648C2212yes—
215#2647C2212yes—
216#2645C2212yes—
217#2642C2212yes—
218#2642C2212yes—
219#2639C2212yes—
220#2639C2211yescharacteristic
221#2639C2211yescharacteristic
222#2634C2212yes—
223#2634C2212yes—
224#2628C2212yes—
225#2628C2212yes—
226#2627C2211yescharacteristic
227#2627C2212yes—
228#2627C2211yescharacteristic
229#2618C2211yescharacteristic
230#2612C2212yes—
231#2612C2212yes—
232#2612C2212yes—
233#2611C2212yes—
234#2611C2212yes—
235#2609C2212yes—
236#2606C2212yes—
237#2605C2212yes—
238#2605C2212yes—
239#2604C2212yes—
240#2604C2212yes—
241#2595C2212yes—
242#2594C2212yes—
243#2589C2212yes—
244#2589C2212yes—
245#2588C2212yes—
246#2586C2212yes—
247#2581C2212yes—
248#2578C2212yes—
249#2577C2212yes—
250#2577C2212yes—
251#2577C2212yes—
252#2577C2212yes—
253#2575C2212yes—
254#2572C2212yes—
255#2572C2212yes—
256#2569C2212yes—
257#2568C2212yes—
258#2563C2211yescharacteristic
259#2560C2212yes—
260#2559C2212yes—
261#2559C2212yes—
262#2558C2212yes—
263#2557C2212yes—
264#2556C2212yes—
265#2553C2212yes—
266#2550C2212yes—
267#2550C2212yes—
268#2550C2212yes—
269#2547C2212yes—
270#2538C2211yescharacteristic
271#2536C2212yes—
272#2533C2212yes—
273#2533C2212yes—
274#2533C2212yes—
275#2532C2212yes—
276#2532C2212yes—
277#2531C2212yes—
278#2530C2212yes—
279#2530C2212yes—
280#2530C2212yes—
281#2530C2212yes—
282#2530C2212yes—
283#2529C2212yes—
284#2529C2212yes—
285#2528C2212yes—
286#2528C2212yes—
287#2527C2212yes—
288#2527C2212yes—
289#2526C2212yes—
290#2526C2212yes—
291#2526C2212yes—
292#2525C2212yes—
293#2524C2212yes—
294#2524C2212yes—
295#2523C2212yes—
296#2523C2212yes—
297#2522C2212yes—
298#2521C2212yes—
299#2520C2212yes—
300#2519C2212yes—
301#2517C2212yes—
302#2517C2212yes—
303#2515C2212yes—
304#2510C2212yes—
305#2506C2212yes—
306#2506C2212yes—
307#2505C2212yes—
308#2500C2212yes—
309#2498C2212yes—
310#2497C2212yes—
311#2493C2212yes—
312#2493C2212yes—
313#2493C2212yes—
314#2492C2212yes—
315#2492C2212yes—
316#2491C2212yes—
317#2490C2212yes—
318#2489C2212yes—
319#2489C2212yes—
320#2488C2212yes—
321#2487C2212yes—
322#2481C2212yes—
323#2479C2212yes—
324#2475C2212yes—
325#2475C2212yes—
326#2473C2212yes—
327#2473C2212yes—
328#2470C2212yes—
329#2465C2212yes—
330#2464C2212yes—
331#2460C2212yes—
332#2459C2212yes—
333#2459C2212yes—
334#2458C2212yes—
335#2450C2212yes—
336#2449C2212yes—
337#2448C2212yes—
338#2447C2212yes—
339#2446C2212yes—
340#2446C2212yes—
341#2446C2212yes—
342#2443C2212yes—
343#2442C2212yes—
344#2439C2212yes—
345#2423C2212yes—
346#2421C2212yes—
347#2421C2212yes—
348#2421C2212yes—
349#2419C2212yes—
350#2413C2212yes—
351#2413C2212yes—
352#2401C2212yes—
353#2401C2212yes—
354#2396C2212yes—
355#2379C2211yescharacteristic
356#2376C2212yes—
357#2372C2212yes—
358#2372C2212yes—
359#2371C2212yes—
360#2368C2212yes—
361#2368C2212yes—
362#2359C2212yes—
363#2356C2212yes—
364#2355C2211yescharacteristic
365#2353C2212yes—
366#2345C2212yes—
367#2337C2212yes—
368#2336C2212yes—
369#2335C2212yes—
370#2331C2212yes—
371#2329C2211yescharacteristic
372#2329C2211yescharacteristic
373#2329C2211yescharacteristic
374#2329C2211yescharacteristic
375#2325C2211yescharacteristic
376#2323C2212yes—
377C4×C22⋊Q8C2211yescharacteristic
378C2×#387C2211yescharacteristic
379#562—44no—
380Q82—44no—
381#544—44no—
382#541—48no—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2311yescharacteristic
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
390#529—44no—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#125C2311yescharacteristic
397C2×#125C2311yescharacteristic
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#124C2311yescharacteristic
408C2×#124C2311yescharacteristic
409C2×#124C2312yes—
410C2×#124C2312yes—
411C2×#124C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2311yescharacteristic
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×#121C2311yescharacteristic
431C2×#121C2311yescharacteristic
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2311yescharacteristic
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C22×C4⋊C4C2312yes—
446C22×C4⋊C4C2311yescharacteristic
447C22×C4⋊C4C2311yescharacteristic
448C22×C42C2311yescharacteristic
449#401C2312yes—
450#401C2312yes—
451#401C2312yes—
452#401C2312yes—
453#401C2312yes—
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#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#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#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#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
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#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#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
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#394C2312yes—
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#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#393C2312yes—
694#393C2312yes—
695#392C2312yes—
696#392C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2311yescharacteristic
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#391C2311yescharacteristic
725#391C2311yescharacteristic
726#391C2311yescharacteristic
727#391C2311yescharacteristic
728#391C2311yescharacteristic
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#390C2312yes—
738#390C2312yes—
739#390C2312yes—
740#390C2311yescharacteristic
741#390C2312yes—
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
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#389C2311yescharacteristic
767#389C2311yescharacteristic
768#389C2311yescharacteristic
769#389C2311yescharacteristic
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2311yescharacteristic
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
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#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
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#387C2312yes—
946#387C2312yes—
947#387C2312yes—
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#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
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#384C2312yes—
1001#384C2311yescharacteristic
1002#384C2312yes—
1003#383C2312yes—
1004#383C2312yes—
1005#383C2312yes—
1006#383C2312yes—
1007#383C2312yes—
1008#383C2312yes—
1009#383C2312yes—
1010#383C2312yes—
1011#383C2312yes—
1012#383C2312yes—
1013#382C2312yes—
1014#382C2311yescharacteristic
1015#382C2312yes—
1016#382C2311yescharacteristic
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#382C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2311yescharacteristic
1040#380C2312yes—
1041#380C2312yes—
1042#380C2311yescharacteristic
1043#380C2311yescharacteristic
1044#380C2311yescharacteristic
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2311yescharacteristic
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊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—
1091#376C2312yes—
1092#376C2312yes—
1093#376C2312yes—
1094#376C2312yes—
1095#376C2312yes—
1096#376C2312yes—
1097#376C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2311yescharacteristic
1100C2×#95C2311yescharacteristic
1101C2×#95C2311yescharacteristic
1102C2×#95C2311yescharacteristic
1103C22×Q8C2411yescharacteristic
1104C22×Q8C2412yes—
1105C22×Q8C2411yescharacteristic
1106C22×Q8C2412yes—
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2412yes—
1111C22×Q8C2412yes—
1112C22×Q8C2411yescharacteristic
1113C22×D4C2411yescharacteristic
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2411yescharacteristic
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C23×C4C2411yescharacteristic
1120C23×C4C2412yes—
1121C23×C4C2411yescharacteristic
1122C23×C4C2411yescharacteristic
1123C23×C4C2411yescharacteristic
1124C23×C4C2412yes—
1125C23×C4C2411yescharacteristic
1126C23×C4C2412yes—
1127C23×C4C2411yescharacteristic
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2411yescharacteristic
1132C4⋊Q8—28no—
1133C4⋊Q8—42no—
1134C4⋊Q8—44no—
1135C4⋊Q8—44no—
1136C4⋊Q8—44no—
1137C4⋊Q8—44no—
1138C4⋊Q8—44no—
1139#126—44no—
1140#126—44no—
1141#126—44no—
1142#126—44no—
1143#126—44no—
1144#125—42no—
1145#125—44no—
1146#125—44no—
1147#125—44no—
1148#125—44no—
1149#125—42no—
1150#125—44no—
1151#125—44no—
1152#125—44no—
1153#125—44no—
1154#125—44no—
1155#124—24no—
1156#124—42no—
1157#124—44no—
1158#124—44no—
1159#124—44no—
1160#123—44no—
1161#123—44no—
1162#123—44no—
1163#123—44no—
1164#123—44no—
1165#123—44no—
1166C22⋊Q8—24no—
1167C22⋊Q8—28no—
1168C22⋊Q8—42no—
1169C22⋊Q8—42no—
1170C22⋊Q8—44no—
1171C22⋊Q8—44no—
1172C22⋊Q8—44no—
1173C22⋊Q8—42no—
1174C22⋊Q8—42no—
1175C22⋊Q8—44no—
1176C22⋊Q8—42no—
1177C22⋊Q8—44no—
1178#121—42no—
1179#121—44no—
1180#121—44no—
1181#121—42no—
1182C4×Q8—24no—
1183C4×Q8—28no—
1184C4×Q8—42no—
1185C4×Q8—44no—
1186C4×Q8—44no—
1187C4×D4—44no—
1188C4×D4—42no—
1189C4×D4—44no—
1190#117—44no—
1191#117—44no—
1192#117—44no—
1193C2×C4⋊C4—44no—
1194C2×C4⋊C4—42no—
1195C2×C4⋊C4—42no—
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2411yescharacteristic
1202C2×C4⋊C4C2411yescharacteristic
1203C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2411yescharacteristic
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2411yescharacteristic
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2411yescharacteristic
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2411yescharacteristic
1245C2×C4⋊C4C2411yescharacteristic
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2411yescharacteristic
1250C2×C4⋊C4C2411yescharacteristic
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2411yescharacteristic
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2411yescharacteristic
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2411yescharacteristic
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊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×C22⋊C4C2412yes—
1352C2×C42—42no—
1353C2×C42C2412yes—
1354C2×C42C2412yes—
1355C2×C42C2412yes—
1356C2×C42C2411yescharacteristic
1357C2×C42C2412yes—
1358C2×C42C2412yes—
1359C2×C42C2411yescharacteristic
1360C2×C42C2411yescharacteristic
1361C2×C42C2412yes—
1362C2×C42C2412yes—
1363C2×C42C2412yes—
1364C2×C42C2412yes—
1365C2×C42C2412yes—
1366C2×C42C2412yes—
1367C2×C42C2412yes—
1368C2×C42C2412yes—
1369C2×C42C2412yes—
1370C2×C42C2411yescharacteristic
1371C2×C42C2412yes—
1372C2×C42C2412yes—
1373C2×C42C2412yes—
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
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—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511C24C2512yes—
1512C24C2512yes—
1513C24C2511yescharacteristic
1514C2×Q8—24no—
1515C2×Q8—22no—
1516C2×Q8—41no—
1517C2×Q8—41no—
1518C2×Q8—41no—
1519C2×Q8—41no—
1520C2×Q8—42no—
1521C2×Q8—42no—
1522C2×Q8—41no—
1523C2×Q8—41no—
1524C2×Q8—41no—
1525C2×Q8—42no—
1526C2×Q8—41no—
1527C2×Q8—41no—
1528C2×Q8—42no—
1529C2×Q8—42no—
1530C2×Q8—42no—
1531C2×Q8—41no—
1532C2×Q8—42no—
1533C2×Q8—41no—
1534C2×Q8—42no—
1535C2×Q8—42no—
1536C2×Q8—41no—
1537C2×Q8—41no—
1538C2×Q8—42no—
1539C2×Q8—41no—
1540C2×Q8—42no—
1541C2×Q8—41no—
1542C2×Q8—41no—
1543C2×Q8H(5,𝔽2)14yes—
1544C2×D4—24no—
1545C2×D4—24no—
1546C2×D4—22no—
1547C2×D4—42no—
1548C2×D4—42no—
1549C2×D4—41no—
1550C2×D4—41no—
1551C2×D4—42no—
1552C2×D4—42no—
1553C2×D4—42no—
1554C2×D4—42no—
1555C2×D4—41no—
1556C2×D4—41no—
1557C2×D4—42no—
1558C2×D4—42no—
1559C2×D4—42no—
1560C2×D4—42no—
1561C2×D4—41no—
1562C22×C4—22no—
1563C22×C4—22no—
1564C22×C4—22no—
1565C22×C4—22no—
1566C22×C4—24no—
1567C22×C4—24no—
1568C22×C4—22no—
1569C22×C4—41no—
1570C22×C4—41no—
1571C22×C4—41no—
1572C22×C4—41no—
1573C22×C4—42no—
1574C22×C4—42no—
1575C22×C4—41no—
1576C22×C4—42no—
1577C22×C4—41no—
1578C22×C4—42no—
1579C22×C4—42no—
1580C22×C4—41no—
1581C22×C4—42no—
1582C22×C4—42no—
1583C22×C4—41no—
1584C22×C4—41no—
1585C22×C4—41no—
1586C22×C4—41no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—42no—
1592C22×C4—41no—
1593C22×C4—41no—
1594C22×C4—41no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—41no—
1599C22×C4—42no—
1600C22×C4—41no—
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×C4C2512yes—
1617C22×C4C2511yescharacteristic
1618C22×C4C2512yes—
1619C22×C4C2511yescharacteristic
1620C22×C4C2512yes—
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2511yescharacteristic
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2511yescharacteristic
1632C22×C4C2511yescharacteristic
1633C4⋊C4—24no—
1634C4⋊C4—24no—
1635C4⋊C4—24no—
1636C4⋊C4—22no—
1637C4⋊C4—22no—
1638C4⋊C4—24no—
1639C4⋊C4—24no—
1640C4⋊C4—24no—
1641C4⋊C4—24no—
1642C4⋊C4—24no—
1643C4⋊C4—24no—
1644C4⋊C4—24no—
1645C4⋊C4—24no—
1646C4⋊C4—24no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—22no—
1651C4⋊C4—24no—
1652C4⋊C4—42no—
1653C4⋊C4—42no—
1654C4⋊C4—42no—
1655C4⋊C4—42no—
1656C4⋊C4—42no—
1657C4⋊C4—42no—
1658C4⋊C4—42no—
1659C4⋊C4—42no—
1660C4⋊C4—41no—
1661C4⋊C4—42no—
1662C4⋊C4—42no—
1663C4⋊C4—42no—
1664C4⋊C4—42no—
1665C4⋊C4—42no—
1666C4⋊C4—42no—
1667C4⋊C4—42no—
1668C4⋊C4—42no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—41no—
1674C4⋊C4—41no—
1675C4⋊C4—42no—
1676C4⋊C4—42no—
1677C4⋊C4—41no—
1678C4⋊C4—42no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—42no—
1683C4⋊C4—42no—
1684C4⋊C4—41no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—41no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—41no—
1699C4⋊C4—42no—
1700C4⋊C4—41no—
1701C4⋊C4—42no—
1702C4⋊C4—41no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—41no—
1708C4⋊C4—42no—
1709C4⋊C4—41no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—41no—
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—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C22⋊C4—24no—
1732C22⋊C4—24no—
1733C22⋊C4—24no—
1734C22⋊C4—24no—
1735C22⋊C4—24no—
1736C22⋊C4—24no—
1737C22⋊C4—24no—
1738C22⋊C4—24no—
1739C22⋊C4—24no—
1740C22⋊C4—24no—
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—
1782C22⋊C4—42no—
1783C22⋊C4—42no—
1784C22⋊C4—42no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C42—22no—
1790C42—22no—
1791C42—24no—
1792C42—24no—
1793C42—24no—
1794C42—24no—
1795C42—24no—
1796C42—41no—
1797C42—41no—
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—
1812C42—42no—
1813C42—42no—
1814C42—42no—
1815C42—42no—
1816C42—42no—
1817C42—42no—
1818C42—42no—
1819C23—21no—
1820C23—21no—
1821C23—21no—
1822C23—21no—
1823C23—21no—
1824C23—21no—
1825C23—22no—
1826C23—22no—
1827C23—22no—
1828C23—22no—
1829C23—22no—
1830C23—22no—
1831C23—22no—
1832C23—22no—
1833C23—22no—
1834C23—22no—
1835C23—22no—
1836C23—22no—
1837C23—22no—
1838C23—22no—
1839C23#58512yes—
1840C23C2611yescharacteristic
1841Q8—44no—
1842Q8—44no—
1843Q8—84no—
1844Q8—161no—
1845Q8—161no—
1846Q8—161no—
1847Q8—161no—
1848Q8—162no—
1849Q8—162no—
1850Q8—162no—
1851D4—82no—
1852D4—84no—
1853D4—84no—
1854D4—162no—
1855D4—161no—
1856D4—162no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—22no—
1860C2×C4—21no—
1861C2×C4—22no—
1862C2×C4—21no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—21no—
1866C2×C4—21no—
1867C2×C4—21no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—21no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—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—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—21no—
1905C2×C4—21no—
1906C2×C4—21no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—21no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—21no—
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—21no—
1948C2×C4—21no—
1949C2×C4—21no—
1950C2×C4—44no—
1951C2×C4—82no—
1952C2×C4—84no—
1953C2×C4—84no—
1954C2×C4—82no—
1955C2×C4—82no—
1956C2×C4—82no—
1957C2×C4—84no—
1958C2×C4—161no—
1959C2×C4—161no—
1960C2×C4—162no—
1961C2×C4—162no—
1962C2×C4—162no—
1963C2×C4C2×H(5,𝔽2)14yes—
1964C2×C4C2×H(5,𝔽2)12yes—
1965C2×C4#58512yes—
1966C22—22no—
1967C22—22no—
1968C22—22no—
1969C22—41no—
1970C22—41no—
1971C22—41no—
1972C22—41no—
1973C22—42no—
1974C22—42no—
1975C22—42no—
1976C22—42no—
1977C22—42no—
1978C22—42no—
1979C22—42no—
1980C22—42no—
1981C22—42no—
1982C22—42no—
1983C22—42no—
1984C22—42no—
1985C22—42no—
1986C22—42no—
1987C22C22×H(5,𝔽2)11yescharacteristic
1988C22C2×#58511yescharacteristic
1989C22C2×#58511yescharacteristic
1990C222−1+611yescharacteristic
1991C222−1+611yescharacteristic
1992C222−1+611yescharacteristic
1993C222−1+611yescharacteristic
1994C4—22no—
1995C4—24no—
1996C4—22no—
1997C4—42no—
1998C4—42no—
1999C4—42no—
2000C4—42no—
2001C4—42no—
2002C4—42no—
2003C4—41no—
2004C4—42no—
2005C4—42no—
2006C4—42no—
2007C4—42no—
2008C4—42no—
2009C4—42no—
2010C4—42no—
2011C4—42no—
2012C4—41no—
2013C4—41no—
2014C4—41no—
2015C4—42no—
2016C4—42no—
2017C4—42no—
2018C4—42no—
2019C4—42no—
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C2—42no—
2027C2—82no—
2028C2—82no—
2029C2#6287111yescharacteristic
2030C2#6287311yescharacteristic
2031C2#6291911yescharacteristic
2032C2#6291911yescharacteristic
2033C2#6296411yescharacteristic
2034C2#6297911yescharacteristic
2035C2#6305311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#45972C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58976C2semidirect
2. #58740C2semidirect
3. #58575C2semidirect
4. #56974C2semidirect
5. #56960C2semidirect
6. #56857C2semidirect
7. #56613C2semidirect
8. #55885C2semidirect
9. #55762C2semidirect
10. #55657C2semidirect
11. #55452C2semidirect
12. #54918C2semidirect
13. #53197C2semidirect
14. #52796C2semidirect
15. #51748C2semidirect
16. #51614C2semidirect
17. #50509C2semidirect
18. #49408C2semidirect
19. #49259C2semidirect
20. #47822C2semidirect
21. #46931C2semidirect
23. #44589C2semidirect
24. #43868C2semidirect
25. #43781C2semidirect
26. #42793C2semidirect
27. #42377C2semidirect
28. #41835C2semidirect
29. #41831C2semidirect
30. #41565C2semidirect
31. #39798C2semidirect
32. #39125C2semidirect
33. #37755C2semidirect
34. #37168C2semidirect
35. #36762C2semidirect

Maximal subgroups

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

subgroupindex
#589762
#587402
#585752
#569742
#569602
#568572
#566132
#558852
#557622
#556572
#554522
#549182
#531972
#527962
#517482
#516142
#505092
#494082
#492592
#478222
#469312
#459722
#445892
#438682
#437812
#427932
#423772
#418352
#418312
#415652
#397982
#391252
#377552
#371682
#367622