Finite Group Databasebeta

← #8942255

Subgroups — #8942255

Order 512.

4422 conjugacy classes of subgroups.

The subgroup lattice has 2139 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#55611C211yesmaximal, characteristic, complemented
2#54851C211yesmaximal, characteristic, complemented
3#53976C211yesmaximal, characteristic, complemented
4#53887C212yesmaximal, complemented
5#53780C212yesmaximal, complemented
6#53656C212yesmaximal, complemented
7#53487C211yesmaximal, characteristic, complemented
8#53420C212yesmaximal, complemented
9#50803C212yesmaximal, complemented
10#50786C212yesmaximal, complemented
11#50666C212yesmaximal, complemented
12#50552C212yesmaximal, complemented
13#48744C212yesmaximal, complemented
14#48146C212yesmaximal, complemented
15#47850C212yesmaximal, complemented
16#47850C212yesmaximal, complemented
17#47850C212yesmaximal, complemented
18#46890C212yesmaximal, complemented
19#46689C212yesmaximal, complemented
20#45035C212yesmaximal, complemented
21#44733C212yesmaximal, complemented
22#44485C212yesmaximal, complemented
23#43206C212yesmaximal, complemented
24#42728C212yesmaximal, complemented
25#42234C212yesmaximal, complemented
26#41306C212yesmaximal, complemented
27#40659C212yesmaximal, complemented
28#40582C212yesmaximal, complemented
29#39303C212yesmaximal, complemented
30#39084C212yesmaximal, complemented
31#36960C211yesmaximal, characteristic, complemented
32#35780C212yesmaximal, complemented
33#35780C212yesmaximal, complemented
34#35467C211yesmaximal, characteristic, complemented
35#35467C211yesmaximal, characteristic, complemented
36C2×#560C2212yes—
37C2×#538C2211yescharacteristic
38C2×#538C2211yescharacteristic
39C2×#538C2211yescharacteristic
40C22×#126C2211yescharacteristic
41#2855C2211yescharacteristic
42#2854C2211yescharacteristic
43#2843C2211yescharacteristic, complemented
44#2839C2212yescomplemented
45#2839C2212yescomplemented
46#2836C2212yescomplemented
47#2832C2211yescharacteristic, complemented
48#2831C2212yescomplemented
49#2829C2212yescomplemented
50#2828C2211yescharacteristic, complemented
51#2827C2212yes—
52#2827C2212yes—
53#2822C2211yescharacteristic, complemented
54#2813C2212yescomplemented
55#2809C2211yescharacteristic, complemented
56#2807C2212yescomplemented
57#2803C2212yescomplemented
58#2802C2212yescomplemented
59#2802C2212yescomplemented
60#2802C2212yescomplemented
61#2801C2212yescomplemented
62#2797C2212yescomplemented
63#2796C2212yescomplemented
64#2795C2212yescomplemented
65#2794C2212yescomplemented
66#2794C2211yescharacteristic, complemented
67#2792C2211yescharacteristic, complemented
68#2790C2212yescomplemented
69#2788C2212yescomplemented
70#2785C2211yescharacteristic, complemented
71#2782C2212yescomplemented
72#2782C2211yescharacteristic, complemented
73#2780C2212yescomplemented
74#2779C2212yescomplemented
75#2779C2212yescomplemented
76#2778C2212yescomplemented
77#2774C2212yescomplemented
78#2771C2212yescomplemented
79#2770C2212yescomplemented
80#2770C2212yescomplemented
81#2768C2212yescomplemented
82#2768C2212yescomplemented
83#2768C2212yescomplemented
84#2767C2212yescomplemented
85#2765C2212yescomplemented
86#2762C2212yescomplemented
87#2758C2212yescomplemented
88#2757C2212yescomplemented
89#2753C2212yescomplemented
90#2744C2212yes—
91#2744C2212yescomplemented
92#2743C2212yes—
93#2743C2212yescomplemented
94#2743C2212yescomplemented
95#2742C2212yescomplemented
96#2741C2212yescomplemented
97#2741C2212yescomplemented
98#2741C2212yescomplemented
99#2740C2212yes—
100#2739C2212yes—
101#2738C2212yescomplemented
102#2738C2212yescomplemented
103#2728C2211yescharacteristic, complemented
104#2727C2212yescomplemented
105#2725C2212yescomplemented
106#2722C2212yes—
107#2722C2212yes—
108#2722C2212yes—
109#2722C2212yes—
110#2722C2212yes—
111#2720C2212yescomplemented
112#2720C2212yescomplemented
113#2718C2212yescomplemented
114#2718C2212yescomplemented
115#2715C2212yes—
116#2715C2212yes—
117#2711C2212yescomplemented
118#2711C2212yescomplemented
119#2708C2212yes—
120#2708C2212yes—
121#2708C2212yes—
122#2707C2212yes—
123#2705C2212yes—
124#2705C2212yescomplemented
125#2704C2212yescomplemented
126#2701C2212yes—
127#2701C2212yes—
128#2701C2212yes—
129#2701C2212yescomplemented
130#2699C2211yescharacteristic, complemented
131#2695C2212yes—
132#2695C2212yes—
133#2695C2212yes—
134#2695C2212yes—
135#2695C2212yes—
136#2695C2212yes—
137#2694C2212yescomplemented
138#2693C2212yes—
139#2691C2212yes—
140#2691C2212yes—
141#2691C2212yes—
142#2691C2212yes—
143#2691C2212yes—
144#2688C2212yes—
145#2688C2212yes—
146#2688C2212yes—
147#2687C2212yes—
148#2687C2212yes—
149#2687C2212yes—
150#2687C2212yescomplemented
151#2686C2212yes—
152#2686C2212yes—
153#2686C2212yes—
154#2683C2211yescharacteristic, complemented
155#2680C2212yes—
156#2680C2212yes—
157#2680C2212yes—
158#2676C2212yes—
159#2676C2212yes—
160#2676C2212yes—
161#2673C2212yes—
162#2673C2212yes—
163#2673C2212yes—
164#2671C2212yes—
165#2671C2212yes—
166#2671C2212yes—
167#2655C2212yescomplemented
168#2655C2212yescomplemented
169#2654C2212yescomplemented
170#2652C2212yes—
171#2652C2212yes—
172#2652C2212yes—
173#2652C2212yes—
174#2652C2212yescomplemented
175#2651C2212yescomplemented
176#2650C2212yescomplemented
177#2648C2212yes—
178#2648C2212yes—
179#2648C2212yescomplemented
180#2648C2212yescomplemented
181#2647C2212yescomplemented
182#2646C2212yescomplemented
183#2638C2212yescomplemented
184#2636C2212yes—
185#2635C2212yescomplemented
186#2630C2212yes—
187#2627C2211yescharacteristic
188#2618C2211yescharacteristic
189#2617C2212yes—
190#2617C2212yes—
191#2617C2212yes—
192#2612C2211yescharacteristic, complemented
193#2603C2212yescomplemented
194#2602C2212yescomplemented
195#2601C2212yescomplemented
196#2597C2212yescomplemented
197#2596C2212yescomplemented
198#2594C2212yescomplemented
199#2593C2212yescomplemented
200#2593C2211yescharacteristic, complemented
201#2591C2212yes—
202#2591C2212yes—
203#2591C2211yescharacteristic
204#2591C2211yescharacteristic
205#2586C2211yescharacteristic, complemented
206#2585C2212yescomplemented
207#2583C2211yescharacteristic
208#2583C2211yescharacteristic
209#2579C2212yes—
210#2579C2212yes—
211#2578C2212yescomplemented
212#2576C2212yes—
213#2576C2212yes—
214#2575C2212yescomplemented
215#2574C2212yescomplemented
216#2573C2212yes—
217#2573C2212yes—
218#2570C2212yescomplemented
219#2569C2212yes—
220#2569C2212yescomplemented
221#2569C2212yescomplemented
222#2559C2212yes—
223#2559C2212yes—
224#2559C2212yes—
225#2559C2212yes—
226#2559C2212yes—
227#2559C2212yes—
228#2559C2212yes—
229#2559C2212yescomplemented
230#2558C2212yes—
231#2558C2212yes—
232#2554C2212yes—
233#2554C2212yes—
234#2554C2212yescomplemented
235#2553C2212yes—
236#2553C2212yes—
237#2553C2212yes—
238#2553C2212yes—
239#2553C2212yescomplemented
240#2552C2212yescomplemented
241#2543C2212yes—
242#2543C2212yes—
243#2543C2212yes—
244#2537C2212yes—
245#2537C2212yes—
246#2537C2212yes—
247#2537C2211yescharacteristic, complemented
248#2532C2212yescomplemented
249#2529C2212yescomplemented
250#2526C2212yes—
251#2526C2212yes—
252#2526C2212yescomplemented
253#2521C2212yes—
254#2521C2212yes—
255#2521C2212yes—
256#2521C2212yes—
257#2521C2212yes—
258#2521C2212yes—
259#2521C2212yes—
260#2518C2212yes—
261#2518C2212yes—
262#2518C2212yes—
263#2518C2212yes—
264#2515C2212yes—
265#2515C2212yes—
266#2515C2212yescomplemented
267#2510C2212yes—
268#2510C2212yes—
269#2509C2212yescomplemented
270#2507C2212yescomplemented
271#2507C2212yescomplemented
272#2503C2211yescharacteristic
273#2503C2211yescharacteristic
274#2501C2211yescharacteristic
275#2501C2211yescharacteristic
276#2497C2212yescomplemented
277#2496C2212yes—
278#2496C2212yes—
279#2496C2212yes—
280#2496C2212yes—
281#2496C2212yes—
282#2496C2212yes—
283#2496C2212yes—
284#2493C2212yescomplemented
285#2487C2212yes—
286#2486C2212yes—
287#2485C2212yescomplemented
288#2481C2212yes—
289#2481C2212yes—
290#2481C2212yes—
291#2481C2212yes—
292#2479C2212yescomplemented
293#2470C2212yes—
294#2470C2212yes—
295#2468C2212yescomplemented
296#2466C2212yes—
297#2466C2212yes—
298#2466C2212yes—
299#2464C2212yes—
300#2464C2212yes—
301#2464C2212yes—
302#2460C2212yes—
303#2460C2212yes—
304#2460C2212yes—
305#2457C2212yes—
306#2457C2212yes—
307#2457C2212yes—
308#2457C2212yes—
309#2457C2212yes—
310#2456C2212yescomplemented
311#2455C2212yes—
312#2455C2212yes—
313#2455C2212yes—
314#2455C2212yescomplemented
315#2450C2212yescomplemented
316#2445C2212yes—
317#2445C2212yes—
318#2445C2212yes—
319#2444C2212yes—
320#2443C2212yes—
321#2442C2212yes—
322#2442C2212yes—
323#2442C2212yes—
324#2438C2212yescomplemented
325#2427C2212yes—
326#2427C2212yes—
327#2427C2212yes—
328#2425C2212yes—
329#2425C2212yes—
330#2425C2212yes—
331#2419C2212yes—
332#2419C2212yes—
333#2419C2212yes—
334#2412C2212yes—
335#2412C2212yes—
336#2412C2212yes—
337#2412C2212yes—
338#2412C2212yes—
339#2412C2212yes—
340#2401C2212yes—
341#2401C2212yes—
342#2392C2212yes—
343#2392C2212yes—
344C2×#396C2212yes—
345#2383C2212yescomplemented
346#2376C2212yescomplemented
347#2373C2212yescomplemented
348#2370C2212yescomplemented
349#2368C2212yescomplemented
350#2363C2212yescomplemented
351#2361C2212yes—
352#2361C2212yes—
353#2359C2212yescomplemented
354#2358C2212yes—
355#2358C2212yes—
356#2358C2212yes—
357#2353C2212yes—
358#2353C2212yes—
359#2352C2212yes—
360#2352C2212yes—
361#2349C2212yescomplemented
362#2345C2212yes—
363#2345C2212yes—
364#2335C2212yescomplemented
365#2334C2212yescomplemented
366#2332C2212yescomplemented
367#2330C2212yescomplemented
368#2324C2212yescomplemented
369#2322C2212yes—
370#2322C2212yes—
371#2318C2212yescomplemented
372#2318C2212yescomplemented
373#2315C2211yescharacteristic
374#2314C2212yescomplemented
375C4×#123C2212yes—
376C4×#123C2212yes—
377#2273C2211yescharacteristic
378#2273C2211yescharacteristic
379#560—48no—
380#538—44no—
381#538—44no—
382#538—44no—
383C2×#127C2312yes—
384C2×#126—44no—
385C2×#126C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#124C2312yes—
402C2×#124C2312yes—
403C2×#124C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2311yescharacteristic
431C2×#121C2311yescharacteristic
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#120C2312yes—
445C2×#120C2312yes—
446C2×#120C2312yes—
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×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×#117C2312yes—
462C2×#117C2312yes—
463C22×C4⋊C4C2311yescharacteristic
464C22×C4⋊C4C2311yescharacteristic
465C22×C4⋊C4C2311yescharacteristic
466C22×C4⋊C4C2312yes—
467C22×C4⋊C4C2312yes—
468C22×C4⋊C4C2312yes—
469C22×C22⋊C4C2311yescharacteristic
470C22×C22⋊C4C2311yescharacteristic
471C22×C22⋊C4C2311yescharacteristic
472C22×C22⋊C4C2312yes—
473C22×C22⋊C4C2312yes—
474C22×C22⋊C4C2312yes—
475C22×C42C2311yescharacteristic
476#401C2312yes—
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#400C2311yescharacteristic
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#400C2311yescharacteristic
511#400C2311yescharacteristic
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2311yescharacteristic
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#398C2311yescharacteristic
532#398C2311yescharacteristic
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#398C2311yescharacteristic
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#398C2311yescharacteristic
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
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#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#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#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#395C2312yes—
633#395C2311yescharacteristic
634#395C2311yescharacteristic
635#395C2311yescharacteristic
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2311yescharacteristic
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2311yescharacteristic
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2311yescharacteristic
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2311yescharacteristic
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#394C2311yescharacteristic
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#392C2312yes—
697#392C2312yes—
698#392C2312yes—
699#392C2312yes—
700#392C2312yes—
701#392C2312yes—
702#392C2312yes—
703#392C2312yes—
704#392C2312yes—
705#392C2312yes—
706#392C2312yes—
707#392C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2311yescharacteristic
711#391C2311yescharacteristic
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#390C2311yescharacteristic
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2311yescharacteristic
722#390C2312yes—
723#390C2312yes—
724#390C2312yes—
725#390C2312yes—
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
729#390C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
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#389C2312yes—
767#389C2312yes—
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#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#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#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#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#386C2312yes—
927#386C2312yes—
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#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#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#384C2312yes—
991#384C2312yes—
992#384C2311yescharacteristic
993#384C2312yes—
994#384C2312yes—
995#384C2311yescharacteristic
996#383C2312yes—
997#383C2312yes—
998#383C2312yes—
999#383C2312yes—
1000#382C2311yescharacteristic
1001#382C2312yes—
1002#382C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2311yescharacteristic
1008#381C2312yes—
1009#381C2312yes—
1010#381C2312yes—
1011#381C2312yes—
1012#381C2312yes—
1013#381C2312yes—
1014#381C2312yes—
1015#381C2312yes—
1016#381C2312yes—
1017#381C2312yes—
1018#381C2312yes—
1019#381C2312yes—
1020#380C2312yes—
1021#380C2312yes—
1022#380C2312yes—
1023#380C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2311yescharacteristic
1032#380C2311yescharacteristic
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—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
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×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2311yescharacteristic
1072C4×C22⋊C4C2311yescharacteristic
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2311yescharacteristic
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2311yescharacteristic
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097#376C2312yes—
1098#376C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C25C2411yescharacteristic
1104C22×Q8C2411yescharacteristic
1105C22×Q8C2411yescharacteristic
1106C22×Q8C2411yescharacteristic
1107C22×D4C2412yes—
1108C22×D4C2412yes—
1109C22×D4C2412yes—
1110C22×D4C2412yes—
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2411yescharacteristic
1120C22×D4C2411yescharacteristic
1121C22×D4C2411yescharacteristic
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2411yescharacteristic
1127C23×C4C2411yescharacteristic
1128C23×C4C2411yescharacteristic
1129C23×C4C2412yes—
1130C23×C4C2411yescharacteristic
1131C23×C4C2411yescharacteristic
1132C23×C4C2411yescharacteristic
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146#127—44no—
1147#126—44no—
1148#126—44no—
1149#126—44no—
1150#126—44no—
1151#126—44no—
1152#126—44no—
1153#126—44no—
1154#126—44no—
1155#126—44no—
1156#126—44no—
1157#126—44no—
1158#126—44no—
1159#126—82no—
1160#125—44no—
1161#125—44no—
1162#125—82no—
1163#124—44no—
1164#124—44no—
1165#124—44no—
1166#123—44no—
1167#123—44no—
1168#123—44no—
1169#123—44no—
1170#123—44no—
1171#123—44no—
1172#123—44no—
1173#123—44no—
1174#123—44no—
1175#123—44no—
1176#123—44no—
1177#123—44no—
1178#123—44no—
1179#123—82no—
1180#123—82no—
1181#123—82no—
1182C22⋊Q8—42no—
1183C22⋊Q8—42no—
1184C22⋊Q8—42no—
1185C22⋊Q8—44no—
1186C22⋊Q8—44no—
1187C22⋊Q8—82no—
1188#121—44no—
1189#121—44no—
1190#121—44no—
1191#121—44no—
1192#121—44no—
1193#121—44no—
1194#121—44no—
1195#121—44no—
1196#121—44no—
1197#121—44no—
1198#121—44no—
1199#121—44no—
1200#121—44no—
1201#121—42no—
1202#121—42no—
1203#121—42no—
1204#121—82no—
1205#121—82no—
1206#120—28no—
1207#120—28no—
1208#120—28no—
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—82no—
1220C4×D4—82no—
1221C4×D4—82no—
1222C4×D4—82no—
1223#117—44no—
1224#117—82no—
1225C2×C4⋊C4—44no—
1226C2×C4⋊C4—44no—
1227C2×C4⋊C4—42no—
1228C2×C4⋊C4—42no—
1229C2×C4⋊C4—42no—
1230C2×C4⋊C4—82no—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2411yescharacteristic
1249C2×C4⋊C4C2411yescharacteristic
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2411yescharacteristic
1252C2×C4⋊C4C2411yescharacteristic
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⋊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⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2411yescharacteristic
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×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×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C22⋊C4—24no—
1316C2×C22⋊C4—24no—
1317C2×C22⋊C4—24no—
1318C2×C22⋊C4—44no—
1319C2×C22⋊C4—44no—
1320C2×C22⋊C4—82no—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×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⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C42—42no—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2411yescharacteristic
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2411yescharacteristic
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2411yescharacteristic
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2411yescharacteristic
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#95C2411yescharacteristic
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2411yescharacteristic
1463#95C2412yes—
1464#95C2411yescharacteristic
1465#95C2411yescharacteristic
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#95C2411yescharacteristic
1519#95C2412yes—
1520#95C2411yescharacteristic
1521#95C2411yescharacteristic
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#95C2412yes—
1537#95C2412yes—
1538C24—42no—
1539C24—42no—
1540C24—41no—
1541C24—41no—
1542C24H(5,𝔽2)14yes—
1543C24C2512yes—
1544C24C2512yes—
1545C24C2512yes—
1546C24C2511yescharacteristic
1547C24C2512yes—
1548C2×Q8—41no—
1549C2×Q8—41no—
1550C2×Q8—41no—
1551C2×Q8—42no—
1552C2×Q8—42no—
1553C2×Q8—41no—
1554C2×Q8—41no—
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—42no—
1566C2×D4—42no—
1567C2×D4—42no—
1568C2×D4—42no—
1569C2×D4—42no—
1570C2×D4—42no—
1571C2×D4—42no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C2×D4—42no—
1575C2×D4—42no—
1576C2×D4—42no—
1577C2×D4—42no—
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—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—41no—
1592C2×D4—41no—
1593C2×D4—41no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—41no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—41no—
1607C22×C4—22no—
1608C22×C4—22no—
1609C22×C4—22no—
1610C22×C4—22no—
1611C22×C4—22no—
1612C22×C4—22no—
1613C22×C4—24no—
1614C22×C4—24no—
1615C22×C4—24no—
1616C22×C4—24no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—42no—
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—41no—
1633C22×C4—42no—
1634C22×C4—41no—
1635C22×C4—41no—
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—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
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×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2511yescharacteristic
1688C22×C4C2511yescharacteristic
1689C22×C4C2511yescharacteristic
1690C22×C4C2511yescharacteristic
1691C22×C4C2511yescharacteristic
1692C22×C4C2511yescharacteristic
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
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—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—41no—
1716C4⋊C4—41no—
1717C4⋊C4—41no—
1718C4⋊C4—41no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—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—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—41no—
1748C4⋊C4—41no—
1749C4⋊C4—41no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—41no—
1755C4⋊C4—41no—
1756C4⋊C4—41no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊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—
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—
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—24no—
1793C22⋊C4—24no—
1794C22⋊C4—24no—
1795C22⋊C4—24no—
1796C22⋊C4—24no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—24no—
1803C22⋊C4—24no—
1804C22⋊C4—24no—
1805C22⋊C4—24no—
1806C22⋊C4—24no—
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—42no—
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—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C42—24no—
1868C42—24no—
1869C42—42no—
1870C42—42no—
1871C42—42no—
1872C42—42no—
1873C42—41no—
1874C42—41no—
1875C42—42no—
1876C42—42no—
1877C42—42no—
1878C42—42no—
1879C42—42no—
1880C42—42no—
1881C42—42no—
1882C42—42no—
1883C42—42no—
1884C42—41no—
1885C42—42no—
1886C42—42no—
1887C42—42no—
1888C42—41no—
1889C42—42no—
1890C42—42no—
1891C42—42no—
1892C23—22no—
1893C23—22no—
1894C23—22no—
1895C23—22no—
1896C23—22no—
1897C23—22no—
1898C23—21no—
1899C23—22no—
1900C23—21no—
1901C23—22no—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—22no—
1914C23—22no—
1915C23—22no—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—22no—
1920C23—22no—
1921C23—22no—
1922C23—22no—
1923C23—44no—
1924C23—44no—
1925C23—44no—
1926C23—162no—
1927C23—162no—
1928C23C2×H(5,𝔽2)14yes—
1929C23C2×H(5,𝔽2)12yes—
1930C23C2611yescharacteristic
1931Q8—161no—
1932Q8—161no—
1933Q8—161no—
1934D4—48no—
1935D4—84no—
1936D4—84no—
1937D4—84no—
1938D4—84no—
1939D4—84no—
1940D4—84no—
1941D4—84no—
1942D4—84no—
1943D4—84no—
1944D4—84no—
1945D4—84no—
1946D4—161no—
1947D4—161no—
1948D4—162no—
1949D4—162no—
1950D4—161no—
1951D4—162no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—21no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—21no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—21no—
1968C2×C4—21no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—21no—
1973C2×C4—21no—
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—22no—
2003C2×C4—22no—
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—21no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—21no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—21no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—21no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—84no—
2037C2×C4—84no—
2038C2×C4—84no—
2039C2×C4—84no—
2040C2×C4—82no—
2041C2×C4—82no—
2042C2×C4—82no—
2043C2×C4—82no—
2044C2×C4—82no—
2045C2×C4—82no—
2046C2×C4—84no—
2047C2×C4—162no—
2048C2×C4—162no—
2049C2×C4—162no—
2050C2×C4—162no—
2051C2×C4—162no—
2052C2×C4—162no—
2053C2×C4—162no—
2054C2×C4—162no—
2055C2×C4—162no—
2056C2×C4—162no—
2057C2×C4#58514yes—
2058C2×C4#58514yes—
2059C22—22no—
2060C22—22no—
2061C22—24no—
2062C22—24no—
2063C22—22no—
2064C22—24no—
2065C22—42no—
2066C22—42no—
2067C22—42no—
2068C22—42no—
2069C22—42no—
2070C22—42no—
2071C22—42no—
2072C22—42no—
2073C22—42no—
2074C22—42no—
2075C22—42no—
2076C22—42no—
2077C22—42no—
2078C22—42no—
2079C22—42no—
2080C22—42no—
2081C22—42no—
2082C22—42no—
2083C22—42no—
2084C22—42no—
2085C22—42no—
2086C22—42no—
2087C22—42no—
2088C22—42no—
2089C22—42no—
2090C22—42no—
2091C22—42no—
2092C22—164no—
2093C22C22×H(5,𝔽2)11yescharacteristic
2094C22C2×#58512yes—
2095C22C2×#58512yes—
2096C22H(7,𝔽2)11yescharacteristic
2097C222−1+611yescharacteristic
2098C4—24no—
2099C4—24no—
2100C4—42no—
2101C4—42no—
2102C4—41no—
2103C4—41no—
2104C4—41no—
2105C4—41no—
2106C4—42no—
2107C4—42no—
2108C4—42no—
2109C4—42no—
2110C4—42no—
2111C4—42no—
2112C4—42no—
2113C4—41no—
2114C4—41no—
2115C4—42no—
2116C4—42no—
2117C4—42no—
2118C4—42no—
2119C4—42no—
2120C4—42no—
2121C4—42no—
2122C4—42no—
2123C4—42no—
2124C4—42no—
2125C4—42no—
2126C4—42no—
2127C4—42no—
2128C2—42no—
2129C2—44no—
2130C2—82no—
2131C2—82no—
2132C2—82no—
2133C2#6282211yescharacteristic
2134C2#6282211yescharacteristic
2135C2#6286611yescharacteristic
2136C2#6290812yes—
2137C2#6297112yes—
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. #55611C2semidirect
2. #54851C2semidirect
3. #53976C2semidirect
4. #53887C2semidirect
5. #53780C2semidirect
6. #53656C2semidirect
7. #53487C2semidirect
8. #53420C2semidirect
9. #50803C2semidirect
10. #50786C2semidirect
11. #50666C2semidirect
12. #50552C2semidirect
13. #48744C2semidirect
14. #48146C2semidirect
15. #47850C2semidirect
16. #47850C2semidirect
17. #47850C2semidirect
18. #46890C2semidirect
19. #46689C2semidirect
20. #45035C2semidirect
21. #44733C2semidirect
22. #44485C2semidirect
23. #43206C2semidirect
24. #42728C2semidirect
25. #42234C2semidirect
26. #41306C2semidirect
27. #40659C2semidirect
28. #40582C2semidirect
29. #39303C2semidirect
30. #39084C2semidirect
31. #36960C2semidirect
32. #35780C2semidirect
33. #35780C2semidirect
34. #35467C2semidirect
35. #35467C2semidirect
43. #2843C22semidirect
44. #2839C22semidirect
45. #2839C22semidirect
46. #2836C22semidirect
47. #2832C22semidirect
48. #2831C22semidirect
49. #2829C22semidirect
50. #2828C22semidirect
53. #2822C22semidirect
54. #2813C22semidirect
55. #2809C22semidirect
56. #2807C22semidirect
57. #2803C22semidirect
58. #2802C22semidirect
59. #2802C22semidirect
60. #2802C22semidirect
61. #2801C22semidirect
62. #2797C22semidirect
63. #2796C22semidirect
64. #2795C22semidirect
65. #2794C22semidirect
66. #2794C22semidirect
67. #2792C22semidirect
68. #2790C22semidirect
69. #2788C22semidirect
70. #2785C22semidirect
71. #2782C22semidirect
72. #2782C22semidirect
73. #2780C22semidirect
74. #2779C22semidirect
75. #2779C22semidirect
76. #2778C22semidirect
77. #2774C22semidirect
78. #2771C22semidirect
79. #2770C22semidirect
80. #2770C22semidirect
81. #2768C22semidirect
82. #2768C22semidirect
83. #2768C22semidirect
84. #2767C22semidirect
85. #2765C22semidirect
86. #2762C22semidirect
87. #2758C22semidirect
88. #2757C22semidirect
89. #2753C22semidirect
91. #2744C22semidirect
93. #2743C22semidirect
94. #2743C22semidirect
95. #2742C22semidirect
96. #2741C22semidirect
97. #2741C22semidirect
98. #2741C22semidirect
101. #2738C22semidirect
102. #2738C22semidirect
103. #2728C22semidirect
104. #2727C22semidirect
105. #2725C22semidirect
111. #2720C22semidirect
112. #2720C22semidirect
113. #2718C22semidirect
114. #2718C22semidirect
117. #2711C22semidirect
118. #2711C22semidirect
124. #2705C22semidirect
125. #2704C22semidirect
129. #2701C22semidirect
130. #2699C22semidirect
137. #2694C22semidirect
150. #2687C22semidirect
154. #2683C22semidirect
167. #2655C22semidirect
168. #2655C22semidirect
169. #2654C22semidirect
174. #2652C22semidirect
175. #2651C22semidirect
176. #2650C22semidirect
179. #2648C22semidirect
180. #2648C22semidirect
181. #2647C22semidirect
182. #2646C22semidirect
183. #2638C22semidirect
185. #2635C22semidirect
192. #2612C22semidirect
193. #2603C22semidirect
194. #2602C22semidirect
195. #2601C22semidirect
196. #2597C22semidirect
197. #2596C22semidirect
198. #2594C22semidirect
199. #2593C22semidirect
200. #2593C22semidirect
205. #2586C22semidirect
206. #2585C22semidirect
211. #2578C22semidirect
214. #2575C22semidirect
215. #2574C22semidirect
218. #2570C22semidirect
220. #2569C22semidirect
221. #2569C22semidirect
229. #2559C22semidirect
234. #2554C22semidirect
239. #2553C22semidirect
240. #2552C22semidirect
247. #2537C22semidirect
248. #2532C22semidirect
249. #2529C22semidirect
252. #2526C22semidirect
266. #2515C22semidirect
269. #2509C22semidirect
270. #2507C22semidirect
271. #2507C22semidirect
276. #2497C22semidirect
284. #2493C22semidirect
287. #2485C22semidirect
292. #2479C22semidirect
295. #2468C22semidirect
310. #2456C22semidirect
314. #2455C22semidirect
315. #2450C22semidirect
324. #2438C22semidirect
345. #2383C22semidirect
346. #2376C22semidirect
347. #2373C22semidirect
348. #2370C22semidirect
349. #2368C22semidirect
350. #2363C22semidirect
353. #2359C22semidirect
361. #2349C22semidirect
364. #2335C22semidirect
365. #2334C22semidirect
366. #2332C22semidirect
367. #2330C22semidirect
368. #2324C22semidirect
371. #2318C22semidirect
372. #2318C22semidirect
374. #2314C22semidirect

Maximal subgroups

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

subgroupindex
#556112
#548512
#539762
#538872
#537802
#536562
#534872
#534202
#508032
#507862
#506662
#505522
#487442
#481462
#478502
#468902
#466892
#450352
#447332
#444852
#432062
#427282
#422342
#413062
#406592
#405822
#393032
#390842
#369602
#357802
#354672