Finite Group Databasebeta

← #10216540

Subgroups — #10216540

Order 512.

4463 conjugacy classes of subgroups.

The subgroup lattice has 2111 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59948C212yesmaximal, complemented
2#59597C212yesmaximal, complemented
3#58980C211yesmaximal, characteristic, complemented
4#58978C211yesmaximal, characteristic, complemented
5#58194C212yesmaximal, complemented
6#58030C212yesmaximal, complemented
7#57357C212yesmaximal, complemented
8#57169C212yesmaximal, complemented
9#55192C212yesmaximal, complemented
10#54898C212yesmaximal, complemented
11#51617C212yesmaximal, complemented
12#51546C211yesmaximal, characteristic, complemented
13#50807C212yesmaximal, complemented
14#50378C212yesmaximal, complemented
15#50358C212yesmaximal, complemented
16#50277C212yesmaximal, complemented
17#47987C212yesmaximal, complemented
18#47949C212yesmaximal, complemented
19#47602C212yesmaximal, complemented
20#47216C211yesmaximal, characteristic, complemented
21#46664C212yesmaximal, complemented
22#44879C212yesmaximal, complemented
23#44749C212yesmaximal, complemented
24#43994C212yesmaximal, complemented
25#43758C212yesmaximal, complemented
26#43488C211yesmaximal, characteristic, complemented
27#43473C211yesmaximal, characteristic, complemented
28#42788C211yesmaximal, characteristic, complemented
29#42187C212yesmaximal, complemented
30#42114C212yesmaximal, complemented
31#39615C212yesmaximal, complemented
32#38865C212yesmaximal, complemented
33#38484C212yesmaximal, complemented
34#38105C212yesmaximal, complemented
35#37330C212yesmaximal, complemented
36C2×#562C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×D4×Q8C2212yes—
39C2×#544C2211yescharacteristic
40C2×#542C2211yescharacteristic
41#2857C2212yes—
42#2854C2212yes—
43#2844C2212yes—
44#2841C2212yes—
45#2839C2212yes—
46#2838C2212yes—
47#2837C2212yes—
48#2831C2212yes—
49#2830C2212yes—
50#2823C2211yescharacteristic
51#2821C2212yes—
52#2817C2211yescharacteristic
53#2816C2211yescharacteristic
54#2809C2212yes—
55#2808C2212yes—
56#2807C2212yes—
57#2805C2212yes—
58#2800C2212yes—
59#2798C2212yes—
60#2798C2212yes—
61#2798C2212yes—
62#2797C2212yes—
63#2796C2212yes—
64#2792C2211yescharacteristic
65#2792C2212yes—
66#2791C2212yes—
67#2788C2212yes—
68#2788C2212yes—
69#2788C2212yes—
70#2787C2212yes—
71#2784C2212yes—
72#2784C2212yes—
73#2783C2212yes—
74#2783C2212yes—
75#2781C2212yes—
76#2779C2212yes—
77#2777C2212yes—
78#2776C2212yes—
79#2775C2212yes—
80#2775C2212yes—
81#2775C2212yes—
82#2774C2212yes—
83#2774C2212yes—
84#2771C2211yescharacteristic
85#2771C2212yes—
86#2769C2211yescharacteristic
87#2767C2212yes—
88#2765C2212yes—
89#2762C2212yes—
90#2761C2212yes—
91#2760C2211yescharacteristic
92#2757C2212yes—
93#2749C2212yes—
94#2743C2212yes—
95#2742C2212yes—
96#2742C2212yes—
97#2740C2212yes—
98#2739C2212yes—
99#2738C2212yes—
100#2737C2212yes—
101#2734C2212yes—
102#2734C2212yes—
103#2734C2211yescharacteristic
104#2732C2212yes—
105#2732C2212yes—
106#2732C2212yes—
107#2732C2212yes—
108#2731C2212yes—
109#2729C2212yes—
110#2729C2212yes—
111#2729C2212yes—
112#2729C2212yes—
113#2729C2212yes—
114#2729C2212yes—
115#2728C2211yescharacteristic
116#2722C2211yescharacteristic
117#2720C2212yes—
118#2718C2212yes—
119#2718C2212yes—
120#2717C2212yes—
121#2717C2212yes—
122#2716C2212yes—
123#2715C2212yes—
124#2713C2212yes—
125#2713C2212yes—
126#2713C2212yes—
127#2707C2212yes—
128#2707C2212yes—
129#2706C2212yes—
130#2706C2212yes—
131#2706C2212yes—
132#2705C2212yes—
133#2705C2212yes—
134#2704C2212yes—
135#2704C2212yes—
136#2703C2212yes—
137#2703C2212yes—
138#2703C2212yes—
139#2700C2212yes—
140#2700C2212yes—
141#2698C2212yes—
142#2698C2212yes—
143#2696C2212yes—
144#2696C2212yes—
145#2696C2212yes—
146#2696C2212yes—
147#2696C2212yes—
148#2694C2212yes—
149#2694C2212yes—
150#2693C2212yes—
151#2693C2212yes—
152#2693C2212yes—
153#2693C2212yes—
154#2692C2212yes—
155#2692C2212yes—
156#2692C2212yes—
157#2692C2212yes—
158#2691C2212yes—
159#2689C2212yes—
160#2689C2212yes—
161#2687C2212yes—
162#2687C2212yes—
163#2683C2212yes—
164#2683C2212yes—
165#2681C2212yes—
166#2676C2212yes—
167#2675C2211yescharacteristic
168#2674C2212yes—
169#2674C2212yes—
170#2674C2212yes—
171#2672C2212yes—
172#2672C2212yes—
173#2671C2212yes—
174#2666C2212yes—
175#2665C2212yes—
176#2662C2212yes—
177#2660C2211yescharacteristic
178#2659C2212yes—
179#2659C2212yes—
180#2658C2211yescharacteristic
181#2652C2212yes—
182#2650C2212yes—
183#2650C2212yes—
184#2650C2212yes—
185#2647C2212yes—
186#2647C2212yes—
187#2644C2212yes—
188#2640C2212yes—
189#2635C2212yes—
190#2631C2212yes—
191#2628C2212yes—
192#2628C2212yes—
193#2621C2211yescharacteristic
194#2614C2212yes—
195#2612C2212yes—
196#2612C2212yes—
197#2611C2211yescharacteristic
198#2610C2212yes—
199#2610C2211yescharacteristic
200#2610C2212yes—
201#2609C2211yescharacteristic
202#2605C2212yes—
203#2603C2212yes—
204#2602C2212yes—
205#2600C2211yescharacteristic
206#2596C2212yes—
207#2594C2212yes—
208#2591C2211yescharacteristic
209#2590C2212yes—
210#2588C2212yes—
211#2588C2212yes—
212#2588C2212yes—
213#2586C2211yescharacteristic
214#2586C2212yes—
215#2586C2212yes—
216#2585C2212yes—
217#2584C2212yes—
218#2577C2212yes—
219#2575C2212yes—
220#2574C2212yes—
221#2574C2212yes—
222#2574C2212yes—
223#2573C2212yes—
224#2572C2211yescharacteristic
225#2570C2212yes—
226#2569C2212yes—
227#2569C2212yes—
228#2566C2212yes—
229#2564C2212yes—
230#2564C2212yes—
231#2564C2212yes—
232#2564C2212yes—
233#2560C2212yes—
234#2560C2212yes—
235#2557C2212yes—
236#2557C2212yes—
237#2556C2212yes—
238#2556C2212yes—
239#2556C2212yes—
240#2555C2212yes—
241#2554C2212yes—
242#2553C2212yes—
243#2551C2212yes—
244#2550C2212yes—
245#2547C2211yescharacteristic
246#2540C2212yes—
247#2535C2211yescharacteristic
248#2533C2212yes—
249#2532C2212yes—
250#2532C2212yes—
251#2532C2212yes—
252#2531C2212yes—
253#2530C2212yes—
254#2530C2212yes—
255#2529C2212yes—
256#2525C2212yes—
257#2523C2211yescharacteristic
258#2522C2212yes—
259#2522C2212yes—
260#2519C2212yes—
261#2519C2212yes—
262#2519C2212yes—
263#2517C2211yescharacteristic
264#2506C2212yes—
265#2501C2212yes—
266#2499C2211yescharacteristic
267#2498C2212yes—
268#2498C2212yes—
269#2497C2212yes—
270#2492C2212yes—
271#2492C2212yes—
272#2492C2212yes—
273#2491C2212yes—
274#2488C2212yes—
275#2488C2212yes—
276#2487C2212yes—
277#2484C2211yescharacteristic
278#2481C2212yes—
279#2481C2212yes—
280#2479C2212yes—
281#2476C2212yes—
282#2476C2212yes—
283#2474C2212yes—
284#2474C2212yes—
285#2474C2212yes—
286#2474C2212yes—
287#2473C2212yes—
288#2471C2212yes—
289#2471C2212yes—
290#2470C2212yes—
291#2470C2212yes—
292#2465C2212yes—
293#2464C2212yes—
294#2464C2212yes—
295#2461C2212yes—
296#2461C2212yes—
297#2460C2212yes—
298#2459C2212yes—
299#2458C2212yes—
300#2457C2212yes—
301#2456C2212yes—
302#2456C2212yes—
303#2454C2212yes—
304#2454C2212yes—
305#2452C2212yes—
306#2452C2212yes—
307#2452C2212yes—
308#2446C2212yes—
309#2446C2212yes—
310#2444C2212yes—
311#2444C2212yes—
312#2443C2212yes—
313#2441C2212yes—
314#2440C2212yes—
315#2440C2212yes—
316#2439C2212yes—
317#2439C2212yes—
318#2439C2212yes—
319#2439C2212yes—
320#2439C2212yes—
321#2436C2212yes—
322#2436C2212yes—
323#2434C2212yes—
324#2434C2212yes—
325#2434C2212yes—
326#2425C2212yes—
327#2425C2212yes—
328#2423C2212yes—
329#2423C2212yes—
330#2420C2212yes—
331#2417C2212yes—
332#2417C2212yes—
333#2414C2212yes—
334#2413C2212yes—
335#2413C2212yes—
336#2409C2212yes—
337#2409C2212yes—
338#2409C2212yes—
339#2409C2212yes—
340#2402C2212yes—
341#2396C2212yes—
342#2392C2211yescharacteristic
343#2379C2212yes—
344#2376C2212yes—
345#2374C2212yes—
346#2373C2212yes—
347#2372C2211yescharacteristic
348#2371C2212yes—
349#2369C2212yes—
350#2363C2212yes—
351#2361C2212yes—
352#2359C2212yes—
353#2359C2212yes—
354#2359C2212yes—
355#2359C2212yes—
356#2356C2211yescharacteristic
357#2354C2212yes—
358#2352C2212yes—
359#2346C2212yes—
360#2343C2212yes—
361#2343C2212yes—
362#2336C2212yes—
363#2335C2212yes—
364#2335C2212yes—
365#2332C2212yes—
366#2332C2211yescharacteristic
367#2331C2212yes—
368#2325C2212yes—
369#2325C2212yes—
370#2324C2212yes—
371#2324C2212yes—
372#2316C2212yes—
373#2314C2212yes—
374C4×#121C2212yes—
375#2296C2212yes—
376C2×#391C2212yes—
377#2290C2212yes—
378#2290C2212yes—
379C23×Q8C2312yes—
380C23×Q8C2312yes—
381#562—44no—
382D4×Q8—44no—
383D4×Q8—48no—
384#544—44no—
385#542—44no—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2311yescharacteristic
390C2×C4⋊Q8C2311yescharacteristic
391C2×C4⋊Q8C2312yes—
392C2×C4⋊Q8C2312yes—
393C2×C4⋊Q8C2312yes—
394C2×C4⋊Q8C2312yes—
395C2×C4⋊Q8C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2311yescharacteristic
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#124C2311yescharacteristic
406C2×#124C2312yes—
407C2×#124C2311yescharacteristic
408C2×#124C2312yes—
409C2×#124C2312yes—
410C2×#124C2312yes—
411C2×#124C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2311yescharacteristic
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×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2311yescharacteristic
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2311yescharacteristic
470C2×#117C2312yes—
471C2×#117C2312yes—
472C2×#117C2312yes—
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2311yescharacteristic
475C22×C4⋊C4C2312yes—
476C22×C42C2312yes—
477#401C2312yes—
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#400C2311yescharacteristic
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#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2311yescharacteristic
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2311yescharacteristic
533#398C2312yes—
534#398C2312yes—
535#398C2311yescharacteristic
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#398C2311yescharacteristic
557#398C2312yes—
558#398C2311yescharacteristic
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2311yescharacteristic
571#397C2311yescharacteristic
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2311yescharacteristic
588#397C2312yes—
589#397C2311yescharacteristic
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2311yescharacteristic
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2311yescharacteristic
659#394C2311yescharacteristic
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#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#393C2312yes—
677#393C2312yes—
678#393C2312yes—
679#393C2312yes—
680#393C2312yes—
681#393C2312yes—
682#393C2312yes—
683#393C2312yes—
684#393C2311yescharacteristic
685#393C2312yes—
686#393C2312yes—
687#393C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#393C2312yes—
694#392C2311yescharacteristic
695#392C2312yes—
696#392C2312yes—
697#392C2312yes—
698#392C2311yescharacteristic
699#392C2312yes—
700#392C2312yes—
701#392C2312yes—
702#392C2312yes—
703#392C2312yes—
704#392C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2311yescharacteristic
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2311yescharacteristic
717#391C2312yes—
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#390C2312yes—
735#390C2312yes—
736#390C2312yes—
737#390C2312yes—
738#390C2312yes—
739#390C2312yes—
740#390C2312yes—
741#390C2312yes—
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
746#390C2312yes—
747#390C2312yes—
748#390C2312yes—
749#390C2312yes—
750#390C2312yes—
751#390C2312yes—
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#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
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#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
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#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2311yescharacteristic
1002#385C2312yes—
1003#385C2311yescharacteristic
1004#384C2312yes—
1005#384C2311yescharacteristic
1006#384C2312yes—
1007#384C2312yes—
1008#383C2312yes—
1009#383C2312yes—
1010#383C2312yes—
1011#383C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2311yescharacteristic
1021#382C2311yescharacteristic
1022#381C2311yescharacteristic
1023#381C2311yescharacteristic
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2311yescharacteristic
1029#381C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
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⋊C4C2311yescharacteristic
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C22⋊C4C2311yescharacteristic
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—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093#376C2312yes—
1094#376C2311yescharacteristic
1095#376C2311yescharacteristic
1096#376C2312yes—
1097#376C2312yes—
1098#376C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C22×Q8—28no—
1104C22×Q8—44no—
1105C22×Q8—82no—
1106C22×Q8—82no—
1107C22×Q8—82no—
1108C22×Q8—82no—
1109C22×Q8C2412yes—
1110C22×Q8C2412yes—
1111C22×Q8C2412yes—
1112C22×Q8C2412yes—
1113C22×Q8C2411yescharacteristic
1114C22×Q8C2411yescharacteristic
1115C22×Q8C2412yes—
1116C22×Q8C2412yes—
1117C22×Q8C2412yes—
1118C22×Q8C2411yescharacteristic
1119C22×D4C2411yescharacteristic
1120C22×D4C2412yes—
1121C22×D4C2411yescharacteristic
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2411yescharacteristic
1131C23×C4C2412yes—
1132C23×C4C2411yescharacteristic
1133C23×C4C2412yes—
1134C23×C4C2411yescharacteristic
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2411yescharacteristic
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C4⋊Q8—28no—
1148C4⋊Q8—44no—
1149C4⋊Q8—42no—
1150C4⋊Q8—42no—
1151C4⋊Q8—44no—
1152C4⋊Q8—44no—
1153C4⋊Q8—44no—
1154C4⋊Q8—44no—
1155C4⋊Q8—82no—
1156C4⋊Q8—82no—
1157#126—44no—
1158#126—44no—
1159#126—82no—
1160#126—82no—
1161#125—44no—
1162#125—42no—
1163#125—44no—
1164#125—44no—
1165#125—44no—
1166#124—24no—
1167#124—44no—
1168#124—44no—
1169#124—42no—
1170#124—82no—
1171#124—82no—
1172#124—82no—
1173#123—28no—
1174#123—44no—
1175#123—44no—
1176#123—44no—
1177#123—44no—
1178#123—44no—
1179#123—44no—
1180#123—44no—
1181#123—44no—
1182#123—82no—
1183#123—82no—
1184#123—82no—
1185#123—82no—
1186C22⋊Q8—24no—
1187C22⋊Q8—28no—
1188C22⋊Q8—44no—
1189C22⋊Q8—44no—
1190C22⋊Q8—44no—
1191C22⋊Q8—44no—
1192C22⋊Q8—44no—
1193C22⋊Q8—42no—
1194C22⋊Q8—44no—
1195C22⋊Q8—44no—
1196C22⋊Q8—44no—
1197C22⋊Q8—44no—
1198C22⋊Q8—44no—
1199C22⋊Q8—44no—
1200C22⋊Q8—82no—
1201C22⋊Q8—82no—
1202C22⋊Q8—82no—
1203C22⋊Q8—82no—
1204C22⋊Q8—82no—
1205#121—28no—
1206#121—28no—
1207#121—44no—
1208#121—44no—
1209#121—44no—
1210#121—42no—
1211#121—82no—
1212#121—82no—
1213C4×Q8—24no—
1214C4×Q8—44no—
1215C4×D4—28no—
1216C4×D4—42no—
1217C4×D4—42no—
1218C4×D4—44no—
1219C4×D4—44no—
1220C4×D4—44no—
1221C4×D4—44no—
1222C4×D4—44no—
1223C4×D4—82no—
1224C4×D4—82no—
1225C4×D4—82no—
1226#117—28no—
1227#117—42no—
1228#117—44no—
1229#117—44no—
1230#117—44no—
1231#117—82no—
1232#117—82no—
1233#117—82no—
1234C2×C4⋊C4—44no—
1235C2×C4⋊C4—42no—
1236C2×C4⋊C4—82no—
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⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2411yescharacteristic
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2411yescharacteristic
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2411yescharacteristic
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2411yescharacteristic
1308C2×C4⋊C4C2411yescharacteristic
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊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⋊C4C2411yescharacteristic
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2411yescharacteristic
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C42—82no—
1404C2×C42C2411yescharacteristic
1405C2×C42C2412yes—
1406C2×C42C2411yescharacteristic
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2411yescharacteristic
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2411yescharacteristic
1431C2×C42C2412yes—
1432C2×C42C2412yes—
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#95C2411yescharacteristic
1451#95C2411yescharacteristic
1452#95C2411yescharacteristic
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2411yescharacteristic
1461#95C2411yescharacteristic
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#95C2411yescharacteristic
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—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2411yescharacteristic
1537#95C2412yes—
1538#95C2411yescharacteristic
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543C24C2511yescharacteristic
1544C24C2512yes—
1545C24C2512yes—
1546C24C2512yes—
1547C2×Q8—24no—
1548C2×Q8—24no—
1549C2×Q8—24no—
1550C2×Q8—24no—
1551C2×Q8—41no—
1552C2×Q8—42no—
1553C2×Q8—41no—
1554C2×Q8—42no—
1555C2×Q8—42no—
1556C2×Q8—42no—
1557C2×Q8—42no—
1558C2×Q8—42no—
1559C2×Q8—42no—
1560C2×Q8—42no—
1561C2×Q8—42no—
1562C2×Q8—42no—
1563C2×Q8—42no—
1564C2×Q8—42no—
1565C2×Q8—42no—
1566C2×Q8—42no—
1567C2×Q8—41no—
1568C2×Q8—42no—
1569C2×Q8—41no—
1570C2×Q8—41no—
1571C2×Q8—42no—
1572C2×Q8—42no—
1573C2×Q8—42no—
1574C2×Q8—41no—
1575C2×Q8—816no—
1576C2×Q8—816no—
1577C2×Q8H(5,𝔽2)14yes—
1578C2×D4—24no—
1579C2×D4—24no—
1580C2×D4—24no—
1581C2×D4—24no—
1582C2×D4—24no—
1583C2×D4—24no—
1584C2×D4—22no—
1585C2×D4—24no—
1586C2×D4—24no—
1587C2×D4—42no—
1588C2×D4—41no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—41no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—41no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—41no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C22×C4—24no—
1613C22×C4—24no—
1614C22×C4—24no—
1615C22×C4—24no—
1616C22×C4—24no—
1617C22×C4—24no—
1618C22×C4—24no—
1619C22×C4—24no—
1620C22×C4—22no—
1621C22×C4—24no—
1622C22×C4—24no—
1623C22×C4—24no—
1624C22×C4—24no—
1625C22×C4—42no—
1626C22×C4—42no—
1627C22×C4—41no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4—42no—
1631C22×C4—42no—
1632C22×C4—42no—
1633C22×C4—42no—
1634C22×C4—42no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—41no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—41no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—41no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—41no—
1655C22×C4—42no—
1656C22×C4—41no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4C2511yescharacteristic
1660C22×C4C2512yes—
1661C22×C4C2512yes—
1662C22×C4C2511yescharacteristic
1663C22×C4C2512yes—
1664C22×C4C2512yes—
1665C22×C4C2512yes—
1666C22×C4C2511yescharacteristic
1667C22×C4C2512yes—
1668C22×C4C2512yes—
1669C22×C4C2512yes—
1670C22×C4C2512yes—
1671C22×C4C2512yes—
1672C22×C4C2512yes—
1673C22×C4C2512yes—
1674C22×C4C2512yes—
1675C22×C4C2512yes—
1676C22×C4C2512yes—
1677C22×C4C2512yes—
1678C22×C4C2512yes—
1679C22×C4C2512yes—
1680C22×C4C2511yescharacteristic
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2511yescharacteristic
1685C22×C4C2512yes—
1686C22×C4C2511yescharacteristic
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C4⋊C4—24no—
1691C4⋊C4—24no—
1692C4⋊C4—22no—
1693C4⋊C4—22no—
1694C4⋊C4—24no—
1695C4⋊C4—24no—
1696C4⋊C4—24no—
1697C4⋊C4—24no—
1698C4⋊C4—24no—
1699C4⋊C4—24no—
1700C4⋊C4—24no—
1701C4⋊C4—24no—
1702C4⋊C4—24no—
1703C4⋊C4—24no—
1704C4⋊C4—24no—
1705C4⋊C4—24no—
1706C4⋊C4—24no—
1707C4⋊C4—24no—
1708C4⋊C4—24no—
1709C4⋊C4—24no—
1710C4⋊C4—24no—
1711C4⋊C4—24no—
1712C4⋊C4—24no—
1713C4⋊C4—24no—
1714C4⋊C4—24no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—41no—
1724C4⋊C4—42no—
1725C4⋊C4—41no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—41no—
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—42no—
1747C4⋊C4—42no—
1748C4⋊C4—41no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—41no—
1766C4⋊C4—41no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C22⋊C4—24no—
1782C22⋊C4—24no—
1783C22⋊C4—24no—
1784C22⋊C4—24no—
1785C22⋊C4—24no—
1786C22⋊C4—24no—
1787C22⋊C4—24no—
1788C22⋊C4—24no—
1789C22⋊C4—24no—
1790C22⋊C4—24no—
1791C22⋊C4—24no—
1792C22⋊C4—24no—
1793C22⋊C4—24no—
1794C22⋊C4—24no—
1795C22⋊C4—24no—
1796C22⋊C4—24no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—41no—
1802C22⋊C4—41no—
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—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—41no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—41no—
1855C22⋊C42−1+418yes—
1856C42—22no—
1857C42—24no—
1858C42—22no—
1859C42—24no—
1860C42—24no—
1861C42—24no—
1862C42—24no—
1863C42—24no—
1864C42—42no—
1865C42—42no—
1866C42—42no—
1867C42—42no—
1868C42—42no—
1869C42—42no—
1870C42—42no—
1871C42—42no—
1872C42—41no—
1873C42—42no—
1874C42—42no—
1875C42—42no—
1876C42—42no—
1877C42—42no—
1878C42—42no—
1879C42—42no—
1880C42—42no—
1881C42—42no—
1882C42—42no—
1883C42—42no—
1884C42—41no—
1885C23—22no—
1886C23—22no—
1887C23—22no—
1888C23—22no—
1889C23—22no—
1890C23—22no—
1891C23—21no—
1892C23—22no—
1893C23—22no—
1894C23—22no—
1895C23—22no—
1896C23—22no—
1897C23—22no—
1898C23—22no—
1899C23—22no—
1900C23—22no—
1901C23—22no—
1902C23—22no—
1903C23—22no—
1904C23—21no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—21no—
1910C23C2×2−1+414yes—
1911C23C2611yescharacteristic
1912Q8—44no—
1913Q8—48no—
1914Q8—84no—
1915Q8—84no—
1916Q8—84no—
1917Q8—84no—
1918Q8—84no—
1919Q8—161no—
1920Q8—162no—
1921Q8—161no—
1922D4—48no—
1923D4—44no—
1924D4—82no—
1925D4—84no—
1926D4—84no—
1927D4—84no—
1928D4—84no—
1929D4—84no—
1930D4—162no—
1931D4—162no—
1932D4—161no—
1933D4—162no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—21no—
1941C2×C4—22no—
1942C2×C4—21no—
1943C2×C4—22no—
1944C2×C4—21no—
1945C2×C4—21no—
1946C2×C4—21no—
1947C2×C4—22no—
1948C2×C4—21no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—21no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
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—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—21no—
2003C2×C4—21no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—44no—
2019C2×C4—48no—
2020C2×C4—48no—
2021C2×C4—48no—
2022C2×C4—82no—
2023C2×C4—84no—
2024C2×C4—84no—
2025C2×C4—84no—
2026C2×C4—84no—
2027C2×C4—84no—
2028C2×C4—84no—
2029C2×C4—84no—
2030C2×C4—84no—
2031C2×C4—162no—
2032C2×C4—162no—
2033C2×C4—161no—
2034C2×C4C2×H(5,𝔽2)14yes—
2035C2×C4C2×H(5,𝔽2)12yes—
2036C2×C4C2×2−1+414yes—
2037C2×C4C2×2−1+414yes—
2038C2×C4#58514yes—
2039C22—24no—
2040C22—24no—
2041C22—24no—
2042C22—42no—
2043C22—42no—
2044C22—42no—
2045C22—42no—
2046C22—41no—
2047C22—42no—
2048C22—42no—
2049C22—42no—
2050C22—41no—
2051C22—42no—
2052C22—42no—
2053C22—41no—
2054C22—42no—
2055C22—42no—
2056C22—42no—
2057C22—42no—
2058C22—42no—
2059C22—42no—
2060C22—42no—
2061C22—42no—
2062C22—42no—
2063C22—42no—
2064C22—42no—
2065C22C22×H(5,𝔽2)11yescharacteristic
2066C22C22×2−1+412yes—
2067C22C2×#58512yes—
2068C22H(7,𝔽2)11yescharacteristic
2069C22H(7,𝔽2)11yescharacteristic
2070C4—24no—
2071C4—24no—
2072C4—22no—
2073C4—24no—
2074C4—24no—
2075C4—41no—
2076C4—41no—
2077C4—42no—
2078C4—41no—
2079C4—42no—
2080C4—42no—
2081C4—42no—
2082C4—42no—
2083C4—41no—
2084C4—42no—
2085C4—42no—
2086C4—42no—
2087C4—42no—
2088C4—42no—
2089C4—42no—
2090C4—41no—
2091C4—42no—
2092C4—42no—
2093C4—42no—
2094C4—42no—
2095C4—42no—
2096C4—42no—
2097C4—42no—
2098C4—42no—
2099C4—42no—
2100C4—42no—
2101C2—44no—
2102C2—81no—
2103C2—82no—
2104C2—82no—
2105C2#6286211yescharacteristic
2106C2#6292912yes—
2107C2#6294812yes—
2108C2#6301611yescharacteristic
2109C2#6303511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59948C2semidirect
2. #59597C2semidirect
3. #58980C2semidirect
4. #58978C2semidirect
5. #58194C2semidirect
6. #58030C2semidirect
7. #57357C2semidirect
8. #57169C2semidirect
9. #55192C2semidirect
10. #54898C2semidirect
11. #51617C2semidirect
12. #51546C2semidirect
13. #50807C2semidirect
14. #50378C2semidirect
15. #50358C2semidirect
16. #50277C2semidirect
17. #47987C2semidirect
18. #47949C2semidirect
19. #47602C2semidirect
20. #47216C2semidirect
21. #46664C2semidirect
22. #44879C2semidirect
23. #44749C2semidirect
24. #43994C2semidirect
25. #43758C2semidirect
26. #43488C2semidirect
27. #43473C2semidirect
28. #42788C2semidirect
29. #42187C2semidirect
30. #42114C2semidirect
31. #39615C2semidirect
32. #38865C2semidirect
33. #38484C2semidirect
34. #38105C2semidirect
35. #37330C2semidirect

Maximal subgroups

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

subgroupindex
#599482
#595972
#589802
#589782
#581942
#580302
#573572
#571692
#551922
#548982
#516172
#515462
#508072
#503782
#503582
#502772
#479872
#479492
#476022
#472162
#466642
#448792
#447492
#439942
#437582
#434882
#434732
#427882
#421872
#421142
#396152
#388652
#384842
#381052
#373302