Finite Group Databasebeta

← #9065690

Subgroups — #9065690

Order 512.

4466 conjugacy classes of subgroups.

The subgroup lattice has 2115 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#57669C212yesmaximal, complemented
2#55616C211yesmaximal, characteristic, complemented
3#54549C212yesmaximal, complemented
4#54331C212yesmaximal, complemented
5#53678C212yesmaximal, complemented
6#50943C212yesmaximal, complemented
7#50170C211yesmaximal, characteristic, complemented
8#50049C212yesmaximal, complemented
9#49294C212yesmaximal, complemented
10#49128C212yesmaximal, complemented
11#49059C211yesmaximal, characteristic, complemented
12#49007C212yesmaximal, complemented
13#48955C212yesmaximal, complemented
14#48688C212yesmaximal, complemented
15#48605C212yesmaximal, complemented
16#44733C212yesmaximal, complemented
17#43639C212yesmaximal, complemented
18#43623C212yesmaximal, complemented
19#43531C212yesmaximal, complemented
20#43503C212yesmaximal, complemented
21#43495C211yesmaximal, characteristic, complemented
22#43360C211yesmaximal, characteristic, complemented
23#43193C212yesmaximal, complemented
24#43089C212yesmaximal, complemented
25#43037C212yesmaximal, complemented
26#42127C212yesmaximal, complemented
27#41515C212yesmaximal, complemented
28#40990C211yesmaximal, characteristic, complemented
29#40868C212yesmaximal, complemented
30#40656C212yesmaximal, complemented
31#36054C212yesmaximal, complemented
32#35981C212yesmaximal, complemented
33#35923C211yesmaximal, characteristic, complemented
34#35888C212yesmaximal, complemented
35#35696C212yesmaximal, complemented
36C2×#553C2212yes—
37C2×#553C2211yescharacteristic
38C2×#547C2211yescharacteristic, complemented
39C2×#539C2211yescharacteristic, complemented
40C2×#538C2211yescharacteristic
41#2844C2211yescharacteristic, complemented
42#2841C2211yescharacteristic, complemented
43#2838C2212yes—
44#2838C2212yes—
45#2838C2212yes—
46#2834C2211yescharacteristic, complemented
47#2833C2212yescomplemented
48#2831C2212yes—
49#2831C2212yes—
50#2806C2212yescomplemented
51#2802C2212yescomplemented
52#2798C2212yes—
53#2791C2212yescomplemented
54#2791C2212yescomplemented
55#2791C2212yescomplemented
56#2789C2212yescomplemented
57#2789C2211yescharacteristic, complemented
58#2788C2212yes—
59#2787C2212yes—
60#2787C2212yescomplemented
61#2787C2212yescomplemented
62#2783C2212yes—
63#2782C2212yes—
64#2780C2212yes—
65#2778C2212yes—
66#2778C2212yes—
67#2778C2212yes—
68#2776C2212yescomplemented
69#2772C2212yes—
70#2772C2212yes—
71#2770C2212yes—
72#2770C2212yescomplemented
73#2769C2211yescharacteristic, complemented
74#2768C2212yescomplemented
75#2768C2212yescomplemented
76#2765C2212yes—
77#2762C2212yescomplemented
78#2762C2212yescomplemented
79#2761C2212yes—
80#2760C2211yescharacteristic
81#2759C2212yes—
82#2758C2212yescomplemented
83#2757C2212yes—
84#2754C2212yes—
85#2751C2212yes—
86#2749C2212yes—
87#2747C2212yes—
88#2747C2212yes—
89#2746C2212yes—
90#2746C2212yes—
91#2746C2212yes—
92#2746C2212yes—
93#2746C2212yescomplemented
94#2745C2212yescomplemented
95#2745C2212yescomplemented
96#2743C2212yes—
97#2741C2212yes—
98#2740C2212yes—
99#2739C2212yes—
100#2738C2212yes—
101#2736C2212yes—
102#2728C2212yescomplemented
103#2724C2211yescharacteristic
104#2722C2212yescomplemented
105#2721C2212yes—
106#2721C2212yes—
107#2721C2212yes—
108#2720C2212yescomplemented
109#2719C2212yescomplemented
110#2719C2212yescomplemented
111#2718C2212yes—
112#2718C2212yes—
113#2718C2212yes—
114#2718C2212yes—
115#2717C2212yes—
116#2716C2212yes—
117#2715C2212yes—
118#2713C2212yescomplemented
119#2708C2212yes—
120#2708C2212yes—
121#2708C2212yescomplemented
122#2704C2212yes—
123#2704C2212yescomplemented
124#2702C2212yes—
125#2697C2212yes—
126#2697C2212yes—
127#2697C2212yes—
128#2697C2211yescharacteristic
129#2695C2212yescomplemented
130#2695C2212yescomplemented
131#2693C2212yes—
132#2693C2212yes—
133#2692C2212yes—
134#2691C2212yes—
135#2691C2212yes—
136#2691C2212yes—
137#2690C2212yes—
138#2690C2212yescomplemented
139#2689C2212yescomplemented
140#2689C2212yescomplemented
141#2688C2212yes—
142#2687C2212yes—
143#2680C2212yes—
144#2671C2212yes—
145#2668C2212yes—
146#2668C2212yes—
147#2668C2211yescharacteristic
148#2668C2212yes—
149#2667C2212yes—
150#2665C2212yescomplemented
151#2663C2212yes—
152#2660C2211yescharacteristic, complemented
153#2655C2212yescomplemented
154#2655C2212yescomplemented
155#2655C2212yescomplemented
156#2655C2212yescomplemented
157#2655C2212yescomplemented
158#2654C2212yes—
159#2653C2212yes—
160#2653C2212yes—
161#2653C2212yes—
162#2646C2212yescomplemented
163#2645C2212yescomplemented
164#2643C2212yes—
165#2643C2212yes—
166#2643C2212yes—
167#2643C2212yes—
168#2638C2211yescharacteristic
169#2636C2212yes—
170#2630C2212yes—
171#2630C2212yes—
172#2625C2211yescharacteristic
173#2612C2211yescharacteristic, complemented
174#2607C2211yescharacteristic
175#2602C2212yes—
176#2602C2212yes—
177#2601C2212yes—
178#2600C2211yescharacteristic, complemented
179#2600C2212yescomplemented
180#2594C2212yes—
181#2594C2212yes—
182#2594C2212yes—
183#2587C2212yes—
184#2587C2212yescomplemented
185#2586C2212yescomplemented
186#2579C2212yescomplemented
187#2578C2212yes—
188#2576C2212yes—
189#2576C2212yes—
190#2576C2212yes—
191#2576C2212yescomplemented
192#2576C2212yescomplemented
193#2574C2212yes—
194#2570C2212yescomplemented
195#2569C2212yescomplemented
196#2569C2212yescomplemented
197#2564C2211yescharacteristic
198#2564C2212yescomplemented
199#2564C2212yescomplemented
200#2563C2211yescharacteristic
201#2562C2211yescharacteristic, complemented
202#2559C2212yes—
203#2559C2212yes—
204#2559C2212yes—
205#2553C2212yescomplemented
206#2553C2212yescomplemented
207#2549C2212yescomplemented
208#2537C2212yes—
209#2535C2212yescomplemented
210#2534C2211yescharacteristic
211#2534C2212yes—
212#2531C2212yes—
213#2529C2212yes—
214#2528C2212yescomplemented
215#2528C2212yescomplemented
216#2527C2212yes—
217#2527C2212yes—
218#2527C2212yescomplemented
219#2527C2212yescomplemented
220#2527C2212yescomplemented
221#2526C2212yes—
222#2526C2212yes—
223#2526C2212yes—
224#2521C2212yes—
225#2519C2212yes—
226#2517C2212yes—
227#2516C2212yes—
228#2514C2212yescomplemented
229#2511C2212yescomplemented
230#2511C2212yescomplemented
231#2510C2212yes—
232#2510C2212yes—
233#2510C2212yes—
234#2510C2212yes—
235#2510C2212yes—
236#2510C2212yes—
237#2505C2212yescomplemented
238#2505C2212yescomplemented
239#2502C2211yescharacteristic, complemented
240#2498C2212yes—
241#2497C2212yes—
242#2497C2212yescomplemented
243#2496C2212yes—
244#2496C2212yescomplemented
245#2496C2212yescomplemented
246#2495C2212yes—
247#2494C2212yescomplemented
248#2493C2212yescomplemented
249#2493C2212yescomplemented
250#2493C2212yescomplemented
251#2493C2212yescomplemented
252#2493C2212yescomplemented
253#2493C2212yescomplemented
254#2493C2212yescomplemented
255#2488C2212yes—
256#2488C2212yes—
257#2486C2212yes—
258#2482C2211yescharacteristic
259#2481C2212yes—
260#2481C2212yes—
261#2481C2212yes—
262#2481C2212yes—
263#2480C2212yes—
264#2480C2212yes—
265#2478C2212yescomplemented
266#2477C2212yescomplemented
267#2475C2212yes—
268#2473C2212yescomplemented
269#2473C2212yescomplemented
270#2470C2212yescomplemented
271#2468C2212yes—
272#2468C2212yes—
273#2468C2212yescomplemented
274#2468C2212yescomplemented
275#2466C2212yes—
276#2466C2212yescomplemented
277#2466C2212yescomplemented
278#2464C2212yes—
279#2464C2212yes—
280#2464C2212yes—
281#2463C2212yes—
282#2463C2211yescharacteristic, complemented
283#2461C2212yes—
284#2460C2212yes—
285#2460C2212yescomplemented
286#2459C2212yes—
287#2457C2212yes—
288#2457C2212yes—
289#2457C2212yescomplemented
290#2456C2212yes—
291#2455C2212yescomplemented
292#2454C2212yes—
293#2450C2212yes—
294#2450C2212yes—
295#2450C2212yescomplemented
296#2450C2212yescomplemented
297#2449C2212yes—
298#2444C2212yes—
299#2444C2212yes—
300#2444C2212yes—
301#2444C2212yes—
302#2444C2212yes—
303#2438C2212yescomplemented
304#2437C2211yescharacteristic
305#2430C2212yes—
306#2430C2212yes—
307#2430C2212yes—
308#2427C2212yes—
309#2425C2212yes—
310#2425C2212yes—
311#2425C2212yes—
312#2425C2212yes—
313#2425C2212yes—
314#2422C2212yes—
315#2419C2212yes—
316#2419C2212yes—
317#2419C2212yescomplemented
318#2419C2212yescomplemented
319#2419C2212yescomplemented
320#2419C2212yescomplemented
321#2419C2212yescomplemented
322#2418C2212yes—
323#2415C2212yes—
324#2407C2212yes—
325#2407C2212yes—
326#2404C2212yes—
327#2401C2212yes—
328#2401C2212yescomplemented
329C2×#401C2212yescomplemented
330#2397C2211yescharacteristic
331#2395C2212yes—
332C2×#400C2212yescomplemented
333C2×#400C2211yescharacteristic, complemented
334#2392C2212yescomplemented
335#2388C2212yes—
336#2388C2212yescomplemented
337#2383C2212yescomplemented
338#2378C2212yes—
339#2377C2211yescharacteristic
340#2375C2211yescharacteristic
341#2374C2212yes—
342#2374C2211yescharacteristic
343#2373C2212yes—
344#2373C2212yescomplemented
345#2368C2212yescomplemented
346#2368C2212yescomplemented
347#2364C2212yes—
348#2364C2212yes—
349#2364C2211yescharacteristic, complemented
350#2359C2212yes—
351#2359C2212yescomplemented
352#2359C2212yescomplemented
353#2358C2212yes—
354#2353C2212yes—
355#2353C2212yescomplemented
356#2352C2212yes—
357#2349C2212yescomplemented
358#2349C2212yescomplemented
359D4×C4⋊C4C2212yescomplemented
360D4×C4⋊C4C2212yescomplemented
361#2343C2212yescomplemented
362#2339C2212yes—
363#2339C2212yes—
364#2339C2212yes—
365#2339C2212yescomplemented
366#2339C2212yescomplemented
367#2335C2212yes—
368#2330C2212yescomplemented
369#2329C2212yescomplemented
370#2325C2212yes—
371#2325C2212yes—
372#2325C2212yes—
373#2325C2212yescomplemented
374#2322C2211yescharacteristic
375#2318C2212yescomplemented
376#2312C2212yes—
377#2275C2212yescomplemented
378#2275C2211yescharacteristic, complemented
379C22×#41C2312yes—
380C22×#41C2312yes—
381#553—44no—
382#553—48no—
383#547—44no—
384#539—44no—
385#538—44no—
386C2×C4⋊Q8C2311yescharacteristic
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#125C2311yescharacteristic
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#124C2312yes—
400C2×#123C2312yes—
401C2×#123C2311yescharacteristic
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2311yescharacteristic
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2311yescharacteristic
424C2×#121C2311yescharacteristic
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#120C2312yes—
433C2×#120C2311yescharacteristic
434C2×#120C2312yes—
435C2×C4×D4C2311yescharacteristic
436C2×C4×D4C2311yescharacteristic
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×#117C2312yes—
458C2×#117C2311yescharacteristic
459C2×#117C2312yes—
460C22×C4⋊C4C2311yescharacteristic
461C22×C4⋊C4C2312yes—
462C22×C4⋊C4C2311yescharacteristic
463C22×C4⋊C4C2312yes—
464C22×C22⋊C4C2312yes—
465C22×C22⋊C4C2311yescharacteristic
466#401C2312yes—
467#401C2312yes—
468#401C2312yes—
469#401C2312yes—
470#401C2312yes—
471#401C2312yes—
472#401C2312yes—
473#401C2312yes—
474#401C2312yes—
475#401C2312yes—
476#401C2312yes—
477#401C2312yes—
478#400C2312yes—
479#400C2311yescharacteristic
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#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#399C2311yescharacteristic
525#399C2311yescharacteristic
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2311yescharacteristic
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
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#398C2311yescharacteristic
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2311yescharacteristic
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#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#395C2311yescharacteristic
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2311yescharacteristic
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#393C2312yes—
670#393C2312yes—
671#393C2311yescharacteristic
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#393C2312yes—
677#393C2311yescharacteristic
678#393C2312yes—
679#392C2311yescharacteristic
680#392C2312yes—
681#392C2312yes—
682#392C2312yes—
683#392C2312yes—
684#392C2312yes—
685#392C2312yes—
686#392C2312yes—
687#392C2311yescharacteristic
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#390C2311yescharacteristic
705#390C2311yescharacteristic
706#390C2312yes—
707#390C2312yes—
708#390C2312yes—
709#390C2312yes—
710#390C2312yes—
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#388C2312yes—
740#388C2312yes—
741#388C2312yes—
742#388C2312yes—
743#388C2312yes—
744#388C2312yes—
745#388C2312yes—
746#388C2312yes—
747#388C2312yes—
748#388C2312yes—
749#388C2312yes—
750#388C2312yes—
751#388C2312yes—
752#388C2312yes—
753#388C2312yes—
754#388C2312yes—
755#388C2312yes—
756#388C2312yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#387C2312yes—
801#387C2312yes—
802#387C2312yes—
803#387C2312yes—
804#387C2312yes—
805#387C2312yes—
806#387C2312yes—
807#387C2312yes—
808#387C2312yes—
809#387C2312yes—
810#387C2312yes—
811#387C2312yes—
812#387C2312yes—
813#387C2312yes—
814#387C2312yes—
815#387C2312yes—
816#387C2312yes—
817#387C2312yes—
818#387C2312yes—
819#387C2312yes—
820#387C2312yes—
821#387C2312yes—
822#387C2312yes—
823#387C2312yes—
824#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#386C2312yes—
874#386C2312yes—
875#386C2312yes—
876#386C2312yes—
877#386C2312yes—
878#386C2312yes—
879#386C2312yes—
880#386C2312yes—
881#386C2312yes—
882#386C2312yes—
883#386C2312yes—
884#386C2312yes—
885#386C2312yes—
886#386C2312yes—
887#386C2311yescharacteristic
888#386C2312yes—
889#386C2312yes—
890#386C2312yes—
891#386C2312yes—
892#386C2312yes—
893#386C2312yes—
894#386C2312yes—
895#386C2312yes—
896#386C2312yes—
897#386C2312yes—
898#386C2312yes—
899#386C2312yes—
900#386C2312yes—
901#386C2312yes—
902#386C2312yes—
903#386C2312yes—
904#386C2312yes—
905#386C2312yes—
906#386C2312yes—
907#386C2312yes—
908#386C2312yes—
909#386C2312yes—
910#386C2312yes—
911#386C2312yes—
912#386C2312yes—
913#386C2312yes—
914#386C2312yes—
915#386C2312yes—
916#386C2312yes—
917#386C2312yes—
918#386C2312yes—
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#385C2312yes—
927#385C2312yes—
928#385C2312yes—
929#385C2312yes—
930#385C2312yes—
931#385C2312yes—
932#385C2312yes—
933#385C2312yes—
934#385C2312yes—
935#385C2312yes—
936#385C2312yes—
937#385C2312yes—
938#385C2312yes—
939#385C2312yes—
940#385C2311yescharacteristic
941#385C2312yes—
942#385C2312yes—
943#385C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#384C2312yes—
979#384C2312yes—
980#384C2312yes—
981#384C2312yes—
982#383C2312yes—
983#383C2312yes—
984#383C2312yes—
985#383C2312yes—
986#383C2312yes—
987#382C2311yescharacteristic
988#382C2311yescharacteristic
989#382C2312yes—
990#382C2312yes—
991#382C2312yes—
992#382C2312yes—
993#382C2312yes—
994#382C2312yes—
995#381C2312yes—
996#381C2312yes—
997#381C2312yes—
998#381C2312yes—
999#381C2312yes—
1000#381C2312yes—
1001#381C2311yescharacteristic
1002#381C2312yes—
1003#381C2312yes—
1004#381C2312yes—
1005#381C2312yes—
1006#381C2312yes—
1007#381C2312yes—
1008#381C2311yescharacteristic
1009#381C2311yescharacteristic
1010#381C2312yes—
1011#381C2312yes—
1012#380C2312yes—
1013#380C2312yes—
1014#380C2312yes—
1015#380C2312yes—
1016#380C2312yes—
1017#380C2312yes—
1018#380C2312yes—
1019#380C2312yes—
1020#380C2312yes—
1021#380C2312yes—
1022#380C2312yes—
1023#380C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2311yescharacteristic
1039#380C2312yes—
1040#380C2312yes—
1041#379C2312yes—
1042#379C2312yes—
1043#379C2312yes—
1044#379C2311yescharacteristic
1045C4×C4⋊C4C2311yescharacteristic
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C22⋊C4C2312yes—
1059C4×C22⋊C4C2312yes—
1060C4×C22⋊C4C2312yes—
1061C4×C22⋊C4C2312yes—
1062C4×C22⋊C4C2312yes—
1063C4×C22⋊C4C2312yes—
1064C4×C22⋊C4C2312yes—
1065C4×C22⋊C4C2312yes—
1066C4×C22⋊C4C2312yes—
1067C4×C22⋊C4C2312yes—
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2311yescharacteristic
1072C4×C22⋊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—
1084#376C2312yes—
1085#376C2312yes—
1086#376C2312yes—
1087#376C2311yescharacteristic
1088C2×#95C2311yescharacteristic
1089C2×#95C2312yes—
1090C2×#95C2312yes—
1091C2×#95C2312yes—
1092C2×#95C2312yes—
1093C2×#95C2312yes—
1094C2×#95C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C25C2411yescharacteristic
1104C2×#41—44no—
1105C2×#41—44no—
1106C2×#41—44no—
1107C2×#41—44no—
1108C2×#41—44no—
1109C2×#41—44no—
1110C22×Q8C2412yes—
1111C22×Q8C2411yescharacteristic
1112C22×Q8C2411yescharacteristic
1113C22×Q8C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2411yescharacteristic
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2411yescharacteristic
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2411yescharacteristic
1128C23×C4C2411yescharacteristic
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2411yescharacteristic
1132C23×C4C2411yescharacteristic
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2411yescharacteristic
1142C23×C4C2411yescharacteristic
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C23×C4C2412yes—
1148C23×C4C2412yes—
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C4⋊Q8—42no—
1152#126—44no—
1153#126—44no—
1154#126—44no—
1155#126—44no—
1156#126—44no—
1157#126—44no—
1158#126—44no—
1159#126—44no—
1160#125—42no—
1161#125—44no—
1162#125—44no—
1163#125—44no—
1164#124—44no—
1165#123—28no—
1166#123—44no—
1167#123—44no—
1168#123—42no—
1169#123—44no—
1170#123—44no—
1171#123—44no—
1172#123—44no—
1173#123—42no—
1174#123—44no—
1175#123—44no—
1176#123—44no—
1177#123—44no—
1178C22⋊Q8—44no—
1179C22⋊Q8—44no—
1180C22⋊Q8—44no—
1181C22⋊Q8—44no—
1182C22⋊Q8—44no—
1183C22⋊Q8—44no—
1184C22⋊Q8—42no—
1185C22⋊Q8—42no—
1186#121—28no—
1187#121—24no—
1188#121—24no—
1189#121—28no—
1190#121—44no—
1191#121—44no—
1192#121—44no—
1193#121—44no—
1194#121—44no—
1195#121—44no—
1196#121—44no—
1197#120—44no—
1198#120—42no—
1199#120—44no—
1200C4×D4—24no—
1201C4×D4—44no—
1202C4×D4—44no—
1203C4×D4—44no—
1204C4×D4—44no—
1205C4×D4—42no—
1206C4×D4—42no—
1207C4×D4—44no—
1208C4×D4—44no—
1209C4×D4—44no—
1210C4×D4—44no—
1211C4×D4—44no—
1212C4×D4—44no—
1213C4×D4—44no—
1214C4×D4—44no—
1215C4×D4—44no—
1216C4×D4—44no—
1217C4×D4—44no—
1218C4×D4—44no—
1219C4×D4—44no—
1220C4×D4—44no—
1221C4×D4—44no—
1222#117—44no—
1223#117—44no—
1224#117—42no—
1225C2×C4⋊C4—42no—
1226C2×C4⋊C4—44no—
1227C2×C4⋊C4—42no—
1228C2×C4⋊C4—44no—
1229C2×C4⋊C4C2411yescharacteristic
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2411yescharacteristic
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2411yescharacteristic
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2411yescharacteristic
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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⋊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⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C22⋊C4—44no—
1309C2×C22⋊C4—42no—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1389C2×C22⋊C4C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2411yescharacteristic
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
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×C42C2411yescharacteristic
1412C2×C42C2412yes—
1413C2×C42C2411yescharacteristic
1414#95C2412yes—
1415#95C2412yes—
1416#95C2411yescharacteristic
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2411yescharacteristic
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#95C2411yescharacteristic
1466#95C2412yes—
1467#95C2412yes—
1468#95C2411yescharacteristic
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#95C2411yescharacteristic
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2411yescharacteristic
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532C24—42no—
1533C24—41no—
1534C24—41no—
1535C24—42no—
1536C24—41no—
1537C24C2512yes—
1538C24C2511yescharacteristic
1539C24C2512yes—
1540C24C2511yescharacteristic
1541C24C2512yes—
1542#41—816no—
1543#41—816no—
1544C2×Q8—24no—
1545C2×Q8—42no—
1546C2×Q8—42no—
1547C2×Q8—42no—
1548C2×Q8—42no—
1549C2×Q8—42no—
1550C2×Q8—41no—
1551C2×Q8—41no—
1552C2×Q8—42no—
1553C2×Q8—42no—
1554C2×D4—24no—
1555C2×D4—24no—
1556C2×D4—24no—
1557C2×D4—24no—
1558C2×D4—24no—
1559C2×D4—24no—
1560C2×D4—24no—
1561C2×D4—24no—
1562C2×D4—24no—
1563C2×D4—24no—
1564C2×D4—24no—
1565C2×D4—24no—
1566C2×D4—24no—
1567C2×D4—24no—
1568C2×D4—24no—
1569C2×D4—24no—
1570C2×D4—22no—
1571C2×D4—24no—
1572C2×D4—42no—
1573C2×D4—41no—
1574C2×D4—42no—
1575C2×D4—42no—
1576C2×D4—42no—
1577C2×D4—41no—
1578C2×D4—42no—
1579C2×D4—42no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C2×D4—42no—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—41no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4H(5,𝔽2)14yes—
1594C22×C4—24no—
1595C22×C4—24no—
1596C22×C4—24no—
1597C22×C4—22no—
1598C22×C4—24no—
1599C22×C4—24no—
1600C22×C4—24no—
1601C22×C4—24no—
1602C22×C4—22no—
1603C22×C4—24no—
1604C22×C4—22no—
1605C22×C4—24no—
1606C22×C4—42no—
1607C22×C4—41no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—42no—
1612C22×C4—42no—
1613C22×C4—42no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—41no—
1620C22×C4—42no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—42no—
1625C22×C4—42no—
1626C22×C4—42no—
1627C22×C4—42no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4—42no—
1631C22×C4—41no—
1632C22×C4—42no—
1633C22×C4—41no—
1634C22×C4—42no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—42no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—41no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—41no—
1660C22×C4C2512yes—
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2511yescharacteristic
1665C22×C4C2512yes—
1666C22×C4C2512yes—
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×C4C2512yes—
1681C22×C4C2511yescharacteristic
1682C22×C4C2512yes—
1683C22×C4C2511yescharacteristic
1684C22×C4C2511yescharacteristic
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2511yescharacteristic
1689C22×C4C2512yes—
1690C4⋊C4—22no—
1691C4⋊C4—24no—
1692C4⋊C4—24no—
1693C4⋊C4—22no—
1694C4⋊C4—24no—
1695C4⋊C4—22no—
1696C4⋊C4—24no—
1697C4⋊C4—24no—
1698C4⋊C4—24no—
1699C4⋊C4—24no—
1700C4⋊C4—24no—
1701C4⋊C4—24no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—41no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—41no—
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—42no—
1743C4⋊C4—41no—
1744C4⋊C4—42no—
1745C4⋊C4—41no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—41no—
1756C4⋊C4—41no—
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—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C22⋊C4—24no—
1770C22⋊C4—24no—
1771C22⋊C4—24no—
1772C22⋊C4—24no—
1773C22⋊C4—24no—
1774C22⋊C4—24no—
1775C22⋊C4—24no—
1776C22⋊C4—24no—
1777C22⋊C4—24no—
1778C22⋊C4—22no—
1779C22⋊C4—24no—
1780C22⋊C4—24no—
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—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—41no—
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—41no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—41no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—41no—
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—41no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C42—22no—
1850C42—24no—
1851C42—24no—
1852C42—41no—
1853C42—42no—
1854C42—41no—
1855C42—42no—
1856C42—42no—
1857C42—42no—
1858C42—42no—
1859C42—42no—
1860C42—42no—
1861C42—42no—
1862C42—42no—
1863C42—42no—
1864C42—42no—
1865C42—42no—
1866C42—42no—
1867C42—42no—
1868C42—42no—
1869C42—42no—
1870C42—42no—
1871C42—42no—
1872C42—42no—
1873C23—21no—
1874C23—22no—
1875C23—22no—
1876C23—22no—
1877C23—22no—
1878C23—22no—
1879C23—22no—
1880C23—22no—
1881C23—22no—
1882C23—22no—
1883C23—22no—
1884C23—22no—
1885C23—22no—
1886C23—22no—
1887C23—21no—
1888C23—22no—
1889C23—22no—
1890C23—21no—
1891C23—22no—
1892C23—22no—
1893C23—22no—
1894C23—21no—
1895C23—22no—
1896C23—22no—
1897C23—22no—
1898C23—22no—
1899C23—22no—
1900C23—21no—
1901C23—82no—
1902C23—84no—
1903C23—161no—
1904C23—162no—
1905C23—161no—
1906C23C2×H(5,𝔽2)14yes—
1907C23#58514yes—
1908C23#58512yes—
1909C23C2611yescharacteristic
1910Q8—84no—
1911Q8—84no—
1912Q8—161no—
1913Q8—161no—
1914D4—216no—
1915D4—44no—
1916D4—48no—
1917D4—48no—
1918D4—48no—
1919D4—44no—
1920D4—84no—
1921D4—84no—
1922D4—84no—
1923D4—84no—
1924D4—82no—
1925D4—84no—
1926D4—84no—
1927D4—84no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—21no—
1932C2×C4—21no—
1933C2×C4—22no—
1934C2×C4—21no—
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—21no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—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—21no—
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—22no—
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—84no—
2013C2×C4—82no—
2014C2×C4—82no—
2015C2×C4—84no—
2016C2×C4—84no—
2017C2×C4—82no—
2018C2×C4—84no—
2019C2×C4—84no—
2020C2×C4—84no—
2021C2×C4—84no—
2022C2×C4—84no—
2023C2×C4—84no—
2024C2×C4—84no—
2025C2×C4—162no—
2026C2×C4—162no—
2027C2×C4—161no—
2028C2×C4—162no—
2029C2×C4—162no—
2030C2×C4—162no—
2031C2×C4—162no—
2032C2×C4—161no—
2033C2×C4—162no—
2034C2×C4—162no—
2035C2×C4C2×H(5,𝔽2)12yes—
2036C2×C4#58514yes—
2037C22—24no—
2038C22—24no—
2039C22—24no—
2040C22—24no—
2041C22—24no—
2042C22—22no—
2043C22—24no—
2044C22—24no—
2045C22—41no—
2046C22—41no—
2047C22—42no—
2048C22—42no—
2049C22—42no—
2050C22—42no—
2051C22—42no—
2052C22—42no—
2053C22—42no—
2054C22—42no—
2055C22—42no—
2056C22—41no—
2057C22—42no—
2058C22—41no—
2059C22—42no—
2060C22—42no—
2061C22—42no—
2062C22—42no—
2063C22—41no—
2064C22—42no—
2065C22—42no—
2066C22—42no—
2067C22—42no—
2068C22—164no—
2069C22C22×H(5,𝔽2)11yescharacteristic
2070C22C2×#58512yes—
2071C22C2×#58512yes—
2072C22C2×#58511yescharacteristic
2073C222−1+611yescharacteristic
2074C4—22no—
2075C4—24no—
2076C4—42no—
2077C4—41no—
2078C4—42no—
2079C4—42no—
2080C4—42no—
2081C4—42no—
2082C4—42no—
2083C4—42no—
2084C4—42no—
2085C4—41no—
2086C4—41no—
2087C4—42no—
2088C4—42no—
2089C4—42no—
2090C4—42no—
2091C4—42no—
2092C4—42no—
2093C4—42no—
2094C4—42no—
2095C4—42no—
2096C4—42no—
2097C4—42no—
2098C4—41no—
2099C4—42no—
2100C4—42no—
2101C4—42no—
2102C4—42no—
2103C4—42no—
2104C2—44no—
2105C2—44no—
2106C2—42no—
2107C2—81no—
2108C2—82no—
2109C2#6282211yescharacteristic
2110C2#6282612yes—
2111C2#6289811yescharacteristic
2112C2#6297112yes—
2113C2#6301711yescharacteristic
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. #57669C2semidirect
2. #55616C2semidirect
3. #54549C2semidirect
4. #54331C2semidirect
5. #53678C2semidirect
6. #50943C2semidirect
7. #50170C2semidirect
8. #50049C2semidirect
9. #49294C2semidirect
10. #49128C2semidirect
11. #49059C2semidirect
12. #49007C2semidirect
13. #48955C2semidirect
14. #48688C2semidirect
15. #48605C2semidirect
16. #44733C2semidirect
17. #43639C2semidirect
18. #43623C2semidirect
19. #43531C2semidirect
20. #43503C2semidirect
21. #43495C2semidirect
22. #43360C2semidirect
23. #43193C2semidirect
24. #43089C2semidirect
25. #43037C2semidirect
26. #42127C2semidirect
27. #41515C2semidirect
28. #40990C2semidirect
29. #40868C2semidirect
30. #40656C2semidirect
31. #36054C2semidirect
32. #35981C2semidirect
33. #35923C2semidirect
34. #35888C2semidirect
35. #35696C2semidirect
38. C2×#547C22semidirect
39. C2×#539C22semidirect
41. #2844C22semidirect
42. #2841C22semidirect
46. #2834C22semidirect
47. #2833C22semidirect
50. #2806C22semidirect
51. #2802C22semidirect
53. #2791C22semidirect
54. #2791C22semidirect
55. #2791C22semidirect
56. #2789C22semidirect
57. #2789C22semidirect
60. #2787C22semidirect
61. #2787C22semidirect
68. #2776C22semidirect
72. #2770C22semidirect
73. #2769C22semidirect
74. #2768C22semidirect
75. #2768C22semidirect
77. #2762C22semidirect
78. #2762C22semidirect
82. #2758C22semidirect
93. #2746C22semidirect
94. #2745C22semidirect
95. #2745C22semidirect
102. #2728C22semidirect
104. #2722C22semidirect
108. #2720C22semidirect
109. #2719C22semidirect
110. #2719C22semidirect
118. #2713C22semidirect
121. #2708C22semidirect
123. #2704C22semidirect
129. #2695C22semidirect
130. #2695C22semidirect
138. #2690C22semidirect
139. #2689C22semidirect
140. #2689C22semidirect
150. #2665C22semidirect
152. #2660C22semidirect
153. #2655C22semidirect
154. #2655C22semidirect
155. #2655C22semidirect
156. #2655C22semidirect
157. #2655C22semidirect
162. #2646C22semidirect
163. #2645C22semidirect
173. #2612C22semidirect
178. #2600C22semidirect
179. #2600C22semidirect
184. #2587C22semidirect
185. #2586C22semidirect
186. #2579C22semidirect
191. #2576C22semidirect
192. #2576C22semidirect
194. #2570C22semidirect
195. #2569C22semidirect
196. #2569C22semidirect
198. #2564C22semidirect
199. #2564C22semidirect
201. #2562C22semidirect
205. #2553C22semidirect
206. #2553C22semidirect
207. #2549C22semidirect
209. #2535C22semidirect
214. #2528C22semidirect
215. #2528C22semidirect
218. #2527C22semidirect
219. #2527C22semidirect
220. #2527C22semidirect
228. #2514C22semidirect
229. #2511C22semidirect
230. #2511C22semidirect
237. #2505C22semidirect
238. #2505C22semidirect
239. #2502C22semidirect
242. #2497C22semidirect
244. #2496C22semidirect
245. #2496C22semidirect
247. #2494C22semidirect
248. #2493C22semidirect
249. #2493C22semidirect
250. #2493C22semidirect
251. #2493C22semidirect
252. #2493C22semidirect
253. #2493C22semidirect
254. #2493C22semidirect
265. #2478C22semidirect
266. #2477C22semidirect
268. #2473C22semidirect
269. #2473C22semidirect
270. #2470C22semidirect
273. #2468C22semidirect
274. #2468C22semidirect
276. #2466C22semidirect
277. #2466C22semidirect
282. #2463C22semidirect
285. #2460C22semidirect
289. #2457C22semidirect
291. #2455C22semidirect
295. #2450C22semidirect
296. #2450C22semidirect
303. #2438C22semidirect
317. #2419C22semidirect
318. #2419C22semidirect
319. #2419C22semidirect
320. #2419C22semidirect
321. #2419C22semidirect
328. #2401C22semidirect
329. C2×#401C22semidirect
332. C2×#400C22semidirect
333. C2×#400C22semidirect
334. #2392C22semidirect
336. #2388C22semidirect
337. #2383C22semidirect
344. #2373C22semidirect
345. #2368C22semidirect
346. #2368C22semidirect
349. #2364C22semidirect
351. #2359C22semidirect
352. #2359C22semidirect
355. #2353C22semidirect
357. #2349C22semidirect
358. #2349C22semidirect
359. D4×C4⋊C4C22semidirect
360. D4×C4⋊C4C22semidirect
361. #2343C22semidirect
365. #2339C22semidirect
366. #2339C22semidirect
368. #2330C22semidirect
369. #2329C22semidirect
373. #2325C22semidirect
375. #2318C22semidirect
377. #2275C22semidirect
378. #2275C22semidirect

Maximal subgroups

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

subgroupindex
#576692
#556162
#545492
#543312
#536782
#509432
#501702
#500492
#492942
#491282
#490592
#490072
#489552
#486882
#486052
#447332
#436392
#436232
#435312
#435032
#434952
#433602
#431932
#430892
#430372
#421272
#415152
#409902
#408682
#406562
#360542
#359812
#359232
#358882
#356962