Finite Group Databasebeta

← #9066059

Subgroups — #9066059

Order 512.

4412 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58370C212yesmaximal, complemented
2#57523C212yesmaximal, complemented
3#56275C212yesmaximal, complemented
4#54678C211yesmaximal, characteristic, complemented
5#53830C212yesmaximal, complemented
6#51863C212yesmaximal, complemented
7#50974C212yesmaximal, complemented
8#50810C212yesmaximal, complemented
9#50750C212yesmaximal, complemented
10#50719C211yesmaximal, characteristic, complemented
11#49694C212yesmaximal, complemented
12#49633C212yesmaximal, complemented
13#48812C211yesmaximal, characteristic, complemented
14#48420C212yesmaximal, complemented
15#47852C212yesmaximal, complemented
16#45232C212yesmaximal, complemented
17#45115C211yesmaximal, characteristic, complemented
18#44920C212yesmaximal, complemented
19#44485C212yesmaximal, complemented
20#44441C212yesmaximal, complemented
21#44424C212yesmaximal, complemented
22#44089C212yesmaximal, complemented
23#43509C211yesmaximal, characteristic, complemented
24#43323C212yesmaximal, complemented
25#43018C212yesmaximal, complemented
26#42089C212yesmaximal, complemented
27#41559C212yesmaximal, complemented
28#41376C212yesmaximal, complemented
29#40943C211yesmaximal, characteristic, complemented
30#40706C212yesmaximal, complemented
31#36012C212yesmaximal, complemented
32#35944C211yesmaximal, characteristic, complemented
33#35851C212yesmaximal, complemented
34#35837C212yesmaximal, complemented
35#35795C212yesmaximal, complemented
36C2×H(3,𝔽4)C2211yescharacteristic
37C2×#551C2211yescharacteristic
38C2×#551C2212yescomplemented
39C2×#538C2212yes—
40#2844C2212yescomplemented
41#2842C2211yescharacteristic, complemented
42#2838C2212yescomplemented
43#2838C2212yescomplemented
44#2831C2212yescomplemented
45#2826C2211yescharacteristic, complemented
46#2820C2212yescomplemented
47#2817C2212yescomplemented
48#2812C2211yescharacteristic, complemented
49#2808C2212yescomplemented
50#2805C2212yescomplemented
51#2805C2212yescomplemented
52#2801C2212yescomplemented
53#2799C2211yescharacteristic, complemented
54#2799C2211yescharacteristic, complemented
55#2798C2212yescomplemented
56#2798C2212yescomplemented
57#2797C2212yes—
58#2796C2212yescomplemented
59#2796C2212yescomplemented
60#2794C2212yescomplemented
61#2793C2212yescomplemented
62#2793C2212yescomplemented
63#2793C2212yescomplemented
64#2783C2212yescomplemented
65#2783C2212yescomplemented
66#2780C2212yescomplemented
67#2780C2212yescomplemented
68#2775C2212yescomplemented
69#2775C2212yescomplemented
70#2774C2212yescomplemented
71#2774C2212yescomplemented
72#2774C2212yescomplemented
73#2773C2212yescomplemented
74#2773C2212yescomplemented
75#2772C2212yescomplemented
76#2772C2212yescomplemented
77#2772C2212yescomplemented
78#2771C2212yescomplemented
79#2771C2211yescharacteristic, complemented
80#2763C2212yescomplemented
81#2762C2212yescomplemented
82#2761C2212yescomplemented
83#2758C2212yescomplemented
84#2758C2212yescomplemented
85#2756C2212yescomplemented
86#2755C2212yescomplemented
87#2753C2212yescomplemented
88#2750C2212yescomplemented
89#2744C2212yescomplemented
90#2743C2212yes—
91#2743C2212yescomplemented
92#2742C2212yescomplemented
93#2742C2212yescomplemented
94#2741C2212yescomplemented
95#2741C2212yescomplemented
96#2740C2212yescomplemented
97#2740C2212yescomplemented
98#2738C2212yescomplemented
99#2737C2212yescomplemented
100#2735C2211yescharacteristic, complemented
101#2725C2212yescomplemented
102#2723C2212yescomplemented
103#2723C2212yescomplemented
104#2722C2212yescomplemented
105#2721C2212yescomplemented
106#2720C2212yescomplemented
107#2718C2212yescomplemented
108#2717C2212yes—
109#2717C2211yescharacteristic
110#2717C2212yes—
111#2717C2212yescomplemented
112#2717C2212yescomplemented
113#2715C2212yes—
114#2715C2212yes—
115#2715C2212yes—
116#2715C2212yes—
117#2715C2212yes—
118#2715C2212yescomplemented
119#2713C2212yescomplemented
120#2712C2212yes—
121#2711C2212yes—
122#2708C2212yes—
123#2703C2212yes—
124#2701C2212yes—
125#2700C2212yes—
126#2700C2212yes—
127#2697C2212yes—
128#2695C2212yescomplemented
129#2694C2212yes—
130#2693C2212yescomplemented
131#2690C2212yescomplemented
132#2690C2212yescomplemented
133#2689C2212yescomplemented
134#2689C2212yescomplemented
135#2686C2212yes—
136#2686C2212yes—
137#2685C2212yescomplemented
138#2684C2211yescharacteristic
139#2684C2212yes—
140#2680C2212yes—
141#2678C2212yes—
142#2674C2212yes—
143#2674C2212yes—
144#2672C2212yes—
145#2672C2212yes—
146#2672C2212yes—
147#2668C2212yes—
148#2667C2212yescomplemented
149#2665C2211yescharacteristic, complemented
150#2663C2212yes—
151#2663C2212yescomplemented
152#2660C2211yescharacteristic, complemented
153#2652C2212yescomplemented
154#2652C2212yescomplemented
155#2652C2212yescomplemented
156#2650C2212yescomplemented
157#2650C2212yescomplemented
158#2650C2212yescomplemented
159#2649C2212yes—
160#2649C2212yes—
161#2649C2212yescomplemented
162#2648C2212yes—
163#2648C2212yescomplemented
164#2648C2212yescomplemented
165#2635C2212yes—
166#2633C2211yescharacteristic
167#2630C2212yes—
168#2622C2212yes—
169#2620C2212yes—
170#2617C2212yes—
171#2617C2212yes—
172#2611C2212yescomplemented
173#2607C2211yescharacteristic, complemented
174#2606C2211yescharacteristic, complemented
175#2602C2212yes—
176#2602C2212yes—
177#2602C2212yescomplemented
178#2597C2212yes—
179#2597C2212yescomplemented
180#2596C2212yescomplemented
181#2595C2212yescomplemented
182#2593C2212yescomplemented
183#2588C2212yescomplemented
184#2588C2212yescomplemented
185#2588C2212yescomplemented
186#2586C2212yescomplemented
187#2586C2212yescomplemented
188#2585C2212yescomplemented
189#2578C2212yes—
190#2578C2212yes—
191#2578C2212yescomplemented
192#2578C2212yescomplemented
193#2576C2212yes—
194#2575C2212yescomplemented
195#2575C2212yescomplemented
196#2575C2212yescomplemented
197#2575C2212yescomplemented
198#2575C2212yescomplemented
199#2574C2212yescomplemented
200#2572C2211yescharacteristic, complemented
201#2572C2211yescharacteristic, complemented
202#2569C2212yescomplemented
203#2569C2211yescharacteristic, complemented
204#2567C2212yescomplemented
205#2560C2212yes—
206#2559C2212yes—
207#2557C2212yes—
208#2557C2212yes—
209#2557C2212yes—
210#2555C2212yes—
211#2553C2212yes—
212#2553C2212yes—
213#2553C2212yes—
214#2553C2212yescomplemented
215#2553C2212yescomplemented
216#2549C2212yescomplemented
217#2549C2212yescomplemented
218#2547C2211yescharacteristic
219#2547C2212yes—
220#2534C2212yes—
221#2534C2211yescharacteristic
222#2532C2212yescomplemented
223#2530C2212yescomplemented
224#2530C2212yescomplemented
225#2530C2212yescomplemented
226#2526C2212yescomplemented
227#2523C2212yescomplemented
228#2523C2211yescharacteristic, complemented
229#2522C2212yescomplemented
230#2522C2212yescomplemented
231#2522C2212yescomplemented
232#2521C2212yes—
233#2521C2212yes—
234#2521C2212yes—
235#2521C2212yes—
236#2521C2212yes—
237#2521C2212yescomplemented
238#2521C2212yescomplemented
239#2520C2212yescomplemented
240#2518C2212yes—
241#2517C2212yescomplemented
242#2517C2212yescomplemented
243#2517C2212yescomplemented
244#2516C2212yes—
245#2516C2212yescomplemented
246#2513C2212yescomplemented
247#2512C2212yescomplemented
248#2505C2212yescomplemented
249#2504C2212yes—
250#2501C2212yes—
251#2499C2212yescomplemented
252#2499C2212yescomplemented
253#2497C2212yescomplemented
254#2496C2212yescomplemented
255#2496C2212yescomplemented
256#2496C2212yescomplemented
257#2496C2212yescomplemented
258#2495C2212yescomplemented
259#2495C2212yescomplemented
260#2495C2212yescomplemented
261#2493C2212yescomplemented
262#2491C2212yes—
263#2488C2212yes—
264#2488C2212yes—
265#2488C2212yescomplemented
266#2487C2211yescharacteristic
267#2486C2212yescomplemented
268#2485C2212yescomplemented
269#2482C2212yescomplemented
270#2481C2212yes—
271#2481C2212yes—
272#2481C2212yes—
273#2481C2212yescomplemented
274#2481C2212yescomplemented
275#2480C2212yescomplemented
276#2480C2212yescomplemented
277#2479C2212yes—
278#2479C2212yescomplemented
279#2478C2212yescomplemented
280#2477C2212yescomplemented
281#2474C2212yes—
282#2474C2212yes—
283#2474C2212yescomplemented
284#2472C2212yescomplemented
285#2471C2212yes—
286#2471C2212yes—
287#2470C2212yes—
288#2470C2212yes—
289#2467C2212yes—
290#2467C2212yes—
291#2466C2212yes—
292#2465C2212yescomplemented
293#2461C2212yes—
294#2461C2212yescomplemented
295#2460C2212yescomplemented
296#2460C2212yescomplemented
297#2459C2212yes—
298#2457C2212yes—
299#2449C2212yes—
300#2447C2212yes—
301#2447C2212yes—
302#2447C2212yescomplemented
303#2444C2212yes—
304#2443C2212yes—
305#2442C2212yescomplemented
306#2441C2212yescomplemented
307#2440C2212yescomplemented
308#2439C2212yescomplemented
309#2438C2212yescomplemented
310#2437C2211yescharacteristic, complemented
311#2427C2212yes—
312#2427C2212yes—
313#2425C2212yes—
314#2424C2212yes—
315#2421C2212yescomplemented
316#2419C2212yescomplemented
317#2418C2212yes—
318#2418C2212yes—
319#2415C2212yescomplemented
320#2412C2212yes—
321#2412C2212yes—
322#2412C2212yes—
323#2412C2212yescomplemented
324#2407C2212yes—
325#2404C2211yescharacteristic, complemented
326#2401C2212yescomplemented
327#2398C2212yes—
328#2395C2212yes—
329#2395C2212yes—
330#2395C2212yes—
331#2395C2212yescomplemented
332#2395C2212yescomplemented
333C2×#399C2211yescharacteristic, complemented
334C2×#397C2212yescomplemented
335#2388C2211yescharacteristic
336#2381C2211yescharacteristic, complemented
337#2378C2212yescomplemented
338#2375C2212yescomplemented
339#2373C2212yescomplemented
340#2373C2212yescomplemented
341#2372C2212yescomplemented
342#2370C2212yescomplemented
343#2364C2212yes—
344#2364C2212yes—
345#2360C2212yescomplemented
346#2359C2212yes—
347#2359C2212yes—
348#2359C2212yes—
349#2359C2212yescomplemented
350#2358C2212yes—
351#2358C2212yescomplemented
352#2355C2212yescomplemented
353#2353C2212yes—
354#2353C2211yescharacteristic
355#2352C2212yes—
356#2352C2212yescomplemented
357D4×C4⋊C4C2212yescomplemented
358#2347C2212yescomplemented
359#2345C2212yescomplemented
360#2345C2212yescomplemented
361#2345C2211yescharacteristic, complemented
362#2344C2212yescomplemented
363#2343C2212yescomplemented
364#2342C2212yescomplemented
365#2341C2211yescharacteristic, complemented
366#2336C2211yescharacteristic, complemented
367#2334C2212yescomplemented
368#2334C2212yescomplemented
369#2332C2212yescomplemented
370#2332C2212yescomplemented
371#2331C2212yescomplemented
372#2330C2212yescomplemented
373#2321C2211yescharacteristic
374#2315C2211yescharacteristic, complemented
375#2314C2212yescomplemented
376#2311C2212yescomplemented
377#2273C2211yescharacteristic, complemented
378#2273C2212yescomplemented
379C22×#41C2311yescharacteristic
380H(3,𝔽4)—44no—
381#551—44no—
382#551—48no—
383#538—48no—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2311yescharacteristic
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#125C2312yes—
396C2×#125C2311yescharacteristic
397C2×#125C2312yes—
398C2×#124C2312yes—
399C2×#124C2312yes—
400C2×#124C2312yes—
401C2×#124C2312yes—
402C2×#124C2312yes—
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#124C2311yescharacteristic
406C2×#124C2312yes—
407C2×#124C2311yescharacteristic
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#120C2311yescharacteristic
433C2×#120C2312yes—
434C2×#120C2312yes—
435C2×#120C2312yes—
436C2×#120C2312yes—
437C2×#120C2311yescharacteristic
438C2×C4×Q8C2312yes—
439C2×C4×D4C2311yescharacteristic
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×#117C2312yes—
450C2×#117C2312yes—
451C2×#117C2312yes—
452C2×#117C2312yes—
453C2×#117C2312yes—
454C2×#117C2312yes—
455C22×C4⋊C4C2312yes—
456C22×C4⋊C4C2312yes—
457C22×C4⋊C4C2312yes—
458C22×C4⋊C4C2311yescharacteristic
459C22×C22⋊C4C2312yes—
460C22×C22⋊C4C2312yes—
461C22×C22⋊C4C2311yescharacteristic
462C22×C22⋊C4C2312yes—
463C22×C22⋊C4C2312yes—
464C22×C22⋊C4C2311yescharacteristic
465C22×C22⋊C4C2312yes—
466#401C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2311yescharacteristic
476#400C2311yescharacteristic
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2311yescharacteristic
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2311yescharacteristic
515#399C2311yescharacteristic
516#399C2311yescharacteristic
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#397C2312yes—
542#397C2312yes—
543#397C2312yes—
544#397C2312yes—
545#397C2312yes—
546#397C2312yes—
547#397C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2312yes—
551#397C2312yes—
552#397C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2311yescharacteristic
574#397C2311yescharacteristic
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#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#395C2312yes—
620#395C2312yes—
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2311yescharacteristic
635#395C2312yes—
636#395C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2311yescharacteristic
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#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#393C2312yes—
677#393C2312yes—
678#393C2312yes—
679#393C2311yescharacteristic
680#393C2312yes—
681#392C2311yescharacteristic
682#392C2312yes—
683#392C2312yes—
684#392C2312yes—
685#392C2312yes—
686#392C2312yes—
687#392C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2311yescharacteristic
692#391C2311yescharacteristic
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#390C2312yes—
710#390C2312yes—
711#390C2312yes—
712#390C2312yes—
713#390C2312yes—
714#390C2312yes—
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
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#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#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#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#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#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#386C2312yes—
904#386C2312yes—
905#386C2312yes—
906#386C2312yes—
907#386C2312yes—
908#386C2312yes—
909#386C2312yes—
910#386C2312yes—
911#386C2311yescharacteristic
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#385C2312yes—
943#385C2312yes—
944#385C2312yes—
945#385C2311yescharacteristic
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#384C2312yes—
977#384C2312yes—
978#384C2312yes—
979#384C2312yes—
980#383C2312yes—
981#383C2312yes—
982#383C2312yes—
983#383C2311yescharacteristic
984#383C2311yescharacteristic
985#383C2312yes—
986#382C2312yes—
987#382C2312yes—
988#382C2312yes—
989#382C2312yes—
990#382C2312yes—
991#382C2312yes—
992#382C2312yes—
993#382C2312yes—
994#382C2312yes—
995#382C2312yes—
996#381C2312yes—
997#381C2312yes—
998#381C2312yes—
999#381C2312yes—
1000#381C2312yes—
1001#381C2312yes—
1002#381C2312yes—
1003#381C2312yes—
1004#381C2312yes—
1005#381C2311yescharacteristic
1006#381C2311yescharacteristic
1007#380C2312yes—
1008#380C2312yes—
1009#380C2312yes—
1010#380C2312yes—
1011#380C2311yescharacteristic
1012#380C2312yes—
1013#380C2312yes—
1014#380C2312yes—
1015#380C2312yes—
1016#380C2312yes—
1017#380C2312yes—
1018#380C2311yescharacteristic
1019#380C2312yes—
1020#380C2312yes—
1021#380C2312yes—
1022#380C2311yescharacteristic
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#379C2311yescharacteristic
1036#379C2312yes—
1037#379C2311yescharacteristic
1038#379C2312yes—
1039#379C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
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×C4⋊C4C2312yes—
1059C4×C4⋊C4C2311yescharacteristic
1060C4×C22⋊C4C2312yes—
1061C4×C22⋊C4C2311yescharacteristic
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⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2311yescharacteristic
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⋊C4C2312yes—
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—
1095#376C2312yes—
1096#376C2311yescharacteristic
1097#376C2312yes—
1098C2×#95C2311yescharacteristic
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C25C2411yescharacteristic
1103C25C2411yescharacteristic
1104C2×#41—42no—
1105C2×#41—44no—
1106C22×Q8C2411yescharacteristic
1107C22×Q8C2412yes—
1108C22×Q8C2412yes—
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2412yes—
1111C22×Q8C2411yescharacteristic
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2411yescharacteristic
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2411yescharacteristic
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2411yescharacteristic
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2411yescharacteristic
1134C23×C4C2412yes—
1135C23×C4C2411yescharacteristic
1136C23×C4C2411yescharacteristic
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C4⋊Q8—44no—
1142C4⋊Q8—42no—
1143#126—44no—
1144#126—44no—
1145#126—44no—
1146#126—44no—
1147#126—44no—
1148#126—44no—
1149#126—44no—
1150#126—44no—
1151#126—44no—
1152#125—44no—
1153#125—42no—
1154#125—44no—
1155#124—44no—
1156#124—44no—
1157#124—44no—
1158#124—44no—
1159#124—42no—
1160#124—44no—
1161#124—44no—
1162#124—44no—
1163#124—42no—
1164#124—44no—
1165#123—44no—
1166#123—44no—
1167#123—44no—
1168#123—44no—
1169#123—44no—
1170#123—44no—
1171#123—44no—
1172#123—42no—
1173#123—44no—
1174#123—44no—
1175#123—44no—
1176C22⋊Q8—44no—
1177C22⋊Q8—44no—
1178C22⋊Q8—44no—
1179C22⋊Q8—44no—
1180C22⋊Q8—44no—
1181C22⋊Q8—44no—
1182C22⋊Q8—44no—
1183C22⋊Q8—44no—
1184#121—44no—
1185#121—44no—
1186#121—44no—
1187#121—44no—
1188#121—44no—
1189#120—28no—
1190#120—28no—
1191#120—24no—
1192#120—44no—
1193#120—44no—
1194#120—42no—
1195C4×Q8—44no—
1196C4×D4—44no—
1197C4×D4—42no—
1198C4×D4—44no—
1199C4×D4—44no—
1200C4×D4—44no—
1201C4×D4—44no—
1202C4×D4—44no—
1203C4×D4—44no—
1204C4×D4—44no—
1205C4×D4—44no—
1206#117—44no—
1207#117—44no—
1208#117—44no—
1209#117—44no—
1210#117—44no—
1211#117—44no—
1212C2×C4⋊C4—44no—
1213C2×C4⋊C4—44no—
1214C2×C4⋊C4—44no—
1215C2×C4⋊C4—42no—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2411yescharacteristic
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2411yescharacteristic
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2411yescharacteristic
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C22⋊C4—28no—
1295C2×C22⋊C4—28no—
1296C2×C22⋊C4—44no—
1297C2×C22⋊C4—44no—
1298C2×C22⋊C4—42no—
1299C2×C22⋊C4—44no—
1300C2×C22⋊C4—42no—
1301C2×C22⋊C4C2412yes—
1302C2×C22⋊C4C2412yes—
1303C2×C22⋊C4C2412yes—
1304C2×C22⋊C4C2412yes—
1305C2×C22⋊C4C2412yes—
1306C2×C22⋊C4C2412yes—
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C22⋊C4C2412yes—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2411yescharacteristic
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2411yescharacteristic
1391C2×C42C2412yes—
1392C2×C42C2411yescharacteristic
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×C42C2411yescharacteristic
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417#95C2411yescharacteristic
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2411yescharacteristic
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2411yescharacteristic
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2411yescharacteristic
1441#95C2411yescharacteristic
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2411yescharacteristic
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2411yescharacteristic
1506#95C2411yescharacteristic
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2411yescharacteristic
1526#95C2411yescharacteristic
1527#95C2412yes—
1528#95C2412yes—
1529C24—42no—
1530C24—42no—
1531C24—41no—
1532C24—41no—
1533C24—42no—
1534C24—41no—
1535C24—41no—
1536C24—42no—
1537C24—41no—
1538C24H(5,𝔽2)14yes—
1539C24C2511yescharacteristic
1540C24C2512yes—
1541C24C2512yes—
1542C24C2512yes—
1543C24C2511yescharacteristic
1544#41—88no—
1545C2×Q8—24no—
1546C2×Q8—41no—
1547C2×Q8—41no—
1548C2×Q8—42no—
1549C2×Q8—42no—
1550C2×Q8—42no—
1551C2×Q8—42no—
1552C2×Q8—42no—
1553C2×Q8—41no—
1554C2×Q8—42no—
1555C2×Q8—42no—
1556C2×Q8—41no—
1557C2×Q8—41no—
1558C2×Q8—42no—
1559C2×Q8—42no—
1560C2×Q8—41no—
1561C2×Q8—41no—
1562C2×D4—24no—
1563C2×D4—24no—
1564C2×D4—24no—
1565C2×D4—24no—
1566C2×D4—24no—
1567C2×D4—24no—
1568C2×D4—22no—
1569C2×D4—24no—
1570C2×D4—24no—
1571C2×D4—42no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C2×D4—41no—
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—41no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—41no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C22×C4—24no—
1598C22×C4—24no—
1599C22×C4—24no—
1600C22×C4—24no—
1601C22×C4—24no—
1602C22×C4—24no—
1603C22×C4—22no—
1604C22×C4—24no—
1605C22×C4—24no—
1606C22×C4—24no—
1607C22×C4—22no—
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—42no—
1620C22×C4—42no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—42no—
1625C22×C4—42no—
1626C22×C4—41no—
1627C22×C4—42no—
1628C22×C4—41no—
1629C22×C4—42no—
1630C22×C4—42no—
1631C22×C4—42no—
1632C22×C4—42no—
1633C22×C4—42no—
1634C22×C4—42no—
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—41no—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2511yescharacteristic
1648C22×C4C2511yescharacteristic
1649C22×C4C2512yes—
1650C22×C4C2512yes—
1651C22×C4C2512yes—
1652C22×C4C2512yes—
1653C22×C4C2512yes—
1654C22×C4C2512yes—
1655C22×C4C2512yes—
1656C22×C4C2511yescharacteristic
1657C22×C4C2512yes—
1658C22×C4C2512yes—
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2512yes—
1665C22×C4C2512yes—
1666C22×C4C2511yescharacteristic
1667C22×C4C2512yes—
1668C22×C4C2512yes—
1669C22×C4C2512yes—
1670C22×C4C2512yes—
1671C22×C4C2512yes—
1672C22×C4C2512yes—
1673C22×C4C2511yescharacteristic
1674C22×C4C2512yes—
1675C4⋊C4—24no—
1676C4⋊C4—24no—
1677C4⋊C4—24no—
1678C4⋊C4—24no—
1679C4⋊C4—24no—
1680C4⋊C4—24no—
1681C4⋊C4—24no—
1682C4⋊C4—24no—
1683C4⋊C4—24no—
1684C4⋊C4—24no—
1685C4⋊C4—24no—
1686C4⋊C4—24no—
1687C4⋊C4—24no—
1688C4⋊C4—24no—
1689C4⋊C4—24no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—41no—
1693C4⋊C4—42no—
1694C4⋊C4—41no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—41no—
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—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—41no—
1741C4⋊C4—41no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C22⋊C4—24no—
1754C22⋊C4—24no—
1755C22⋊C4—24no—
1756C22⋊C4—24no—
1757C22⋊C4—24no—
1758C22⋊C4—24no—
1759C22⋊C4—24no—
1760C22⋊C4—24no—
1761C22⋊C4—24no—
1762C22⋊C4—24no—
1763C22⋊C4—24no—
1764C22⋊C4—24no—
1765C22⋊C4—24no—
1766C22⋊C4—24no—
1767C22⋊C4—22no—
1768C22⋊C4—24no—
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—24no—
1779C22⋊C4—24no—
1780C22⋊C4—24no—
1781C22⋊C4—42no—
1782C22⋊C4—42no—
1783C22⋊C4—42no—
1784C22⋊C4—42no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—41no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—41no—
1801C22⋊C4—41no—
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—41no—
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—41no—
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—
1840C42—24no—
1841C42—24no—
1842C42—22no—
1843C42—42no—
1844C42—42no—
1845C42—42no—
1846C42—42no—
1847C42—42no—
1848C42—42no—
1849C42—42no—
1850C42—42no—
1851C42—41no—
1852C42—42no—
1853C42—42no—
1854C42—42no—
1855C42—42no—
1856C42—42no—
1857C42—42no—
1858C42—42no—
1859C42—42no—
1860C42—42no—
1861C42—42no—
1862C42—42no—
1863C42—41no—
1864C42—42no—
1865C42—42no—
1866C42—42no—
1867C42—42no—
1868C42—42no—
1869C23—22no—
1870C23—22no—
1871C23—22no—
1872C23—22no—
1873C23—22no—
1874C23—21no—
1875C23—22no—
1876C23—22no—
1877C23—21no—
1878C23—22no—
1879C23—21no—
1880C23—22no—
1881C23—22no—
1882C23—22no—
1883C23—22no—
1884C23—22no—
1885C23—22no—
1886C23—22no—
1887C23—22no—
1888C23—22no—
1889C23—22no—
1890C23—22no—
1891C23—22no—
1892C23—22no—
1893C23—21no—
1894C23—22no—
1895C23—22no—
1896C23—21no—
1897C23—22no—
1898C23—48no—
1899C23—44no—
1900C23—44no—
1901C23—161no—
1902C23—161no—
1903C23—162no—
1904C23—161no—
1905C23—162no—
1906C23—161no—
1907C23—162no—
1908C23C2×H(5,𝔽2)12yes—
1909C23C2×H(5,𝔽2)14yes—
1910C23C2611yescharacteristic
1911Q8—44no—
1912Q8—162no—
1913Q8—162no—
1914Q8—162no—
1915Q8—161no—
1916Q8—161no—
1917D4—48no—
1918D4—84no—
1919D4—84no—
1920D4—84no—
1921D4—84no—
1922D4—84no—
1923D4—84no—
1924D4—84no—
1925D4—82no—
1926D4—82no—
1927D4—162no—
1928D4—162no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—21no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—21no—
1953C2×C4—22no—
1954C2×C4—21no—
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—22no—
1991C2×C4—22no—
1992C2×C4—21no—
1993C2×C4—21no—
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—21no—
2011C2×C4—22no—
2012C2×C4—48no—
2013C2×C4—82no—
2014C2×C4—84no—
2015C2×C4—84no—
2016C2×C4—84no—
2017C2×C4—82no—
2018C2×C4—84no—
2019C2×C4—84no—
2020C2×C4—84no—
2021C2×C4—84no—
2022C2×C4—162no—
2023C2×C4—162no—
2024C2×C4—162no—
2025C2×C4—162no—
2026C2×C4—161no—
2027C2×C4—161no—
2028C2×C4—162no—
2029C2×C4#58514yes—
2030C2×C4#58512yes—
2031C2×C4#58514yes—
2032C22—24no—
2033C22—24no—
2034C22—24no—
2035C22—24no—
2036C22—22no—
2037C22—42no—
2038C22—41no—
2039C22—41no—
2040C22—42no—
2041C22—42no—
2042C22—42no—
2043C22—42no—
2044C22—42no—
2045C22—41no—
2046C22—42no—
2047C22—42no—
2048C22—42no—
2049C22—42no—
2050C22—42no—
2051C22—42no—
2052C22—42no—
2053C22—41no—
2054C22—42no—
2055C22—41no—
2056C22—42no—
2057C22—42no—
2058C22—42no—
2059C22—42no—
2060C22—42no—
2061C22—42no—
2062C22—42no—
2063C22—164no—
2064C22—164no—
2065C22C22×H(5,𝔽2)11yescharacteristic
2066C22C2×#58512yes—
2067C22C2×#58511yescharacteristic
2068C22C2×#58512yes—
2069C222−1+611yescharacteristic
2070C4—22no—
2071C4—24no—
2072C4—24no—
2073C4—41no—
2074C4—42no—
2075C4—41no—
2076C4—42no—
2077C4—42no—
2078C4—42no—
2079C4—42no—
2080C4—42no—
2081C4—42no—
2082C4—42no—
2083C4—42no—
2084C4—42no—
2085C4—42no—
2086C4—42no—
2087C4—41no—
2088C4—42no—
2089C4—42no—
2090C4—42no—
2091C4—42no—
2092C4—42no—
2093C4—42no—
2094C4—42no—
2095C4—41no—
2096C4—42no—
2097C4—42no—
2098C4—42no—
2099C4—42no—
2100C2—44no—
2101C2—42no—
2102C2—82no—
2103C2—81no—
2104C2—82no—
2105C2#6282212yes—
2106C2#6283911yescharacteristic
2107C2#6290111yescharacteristic
2108C2#6296412yes—
2109C2#6302611yescharacteristic
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. #58370C2semidirect
2. #57523C2semidirect
3. #56275C2semidirect
4. #54678C2semidirect
5. #53830C2semidirect
6. #51863C2semidirect
7. #50974C2semidirect
8. #50810C2semidirect
9. #50750C2semidirect
10. #50719C2semidirect
11. #49694C2semidirect
12. #49633C2semidirect
13. #48812C2semidirect
14. #48420C2semidirect
15. #47852C2semidirect
16. #45232C2semidirect
17. #45115C2semidirect
18. #44920C2semidirect
19. #44485C2semidirect
20. #44441C2semidirect
21. #44424C2semidirect
22. #44089C2semidirect
23. #43509C2semidirect
24. #43323C2semidirect
25. #43018C2semidirect
26. #42089C2semidirect
27. #41559C2semidirect
28. #41376C2semidirect
29. #40943C2semidirect
30. #40706C2semidirect
31. #36012C2semidirect
32. #35944C2semidirect
33. #35851C2semidirect
34. #35837C2semidirect
35. #35795C2semidirect
38. C2×#551C22semidirect
40. #2844C22semidirect
41. #2842C22semidirect
42. #2838C22semidirect
43. #2838C22semidirect
44. #2831C22semidirect
45. #2826C22semidirect
46. #2820C22semidirect
47. #2817C22semidirect
48. #2812C22semidirect
49. #2808C22semidirect
50. #2805C22semidirect
51. #2805C22semidirect
52. #2801C22semidirect
53. #2799C22semidirect
54. #2799C22semidirect
55. #2798C22semidirect
56. #2798C22semidirect
58. #2796C22semidirect
59. #2796C22semidirect
60. #2794C22semidirect
61. #2793C22semidirect
62. #2793C22semidirect
63. #2793C22semidirect
64. #2783C22semidirect
65. #2783C22semidirect
66. #2780C22semidirect
67. #2780C22semidirect
68. #2775C22semidirect
69. #2775C22semidirect
70. #2774C22semidirect
71. #2774C22semidirect
72. #2774C22semidirect
73. #2773C22semidirect
74. #2773C22semidirect
75. #2772C22semidirect
76. #2772C22semidirect
77. #2772C22semidirect
78. #2771C22semidirect
79. #2771C22semidirect
80. #2763C22semidirect
81. #2762C22semidirect
82. #2761C22semidirect
83. #2758C22semidirect
84. #2758C22semidirect
85. #2756C22semidirect
86. #2755C22semidirect
87. #2753C22semidirect
88. #2750C22semidirect
89. #2744C22semidirect
91. #2743C22semidirect
92. #2742C22semidirect
93. #2742C22semidirect
94. #2741C22semidirect
95. #2741C22semidirect
96. #2740C22semidirect
97. #2740C22semidirect
98. #2738C22semidirect
99. #2737C22semidirect
100. #2735C22semidirect
101. #2725C22semidirect
102. #2723C22semidirect
103. #2723C22semidirect
104. #2722C22semidirect
105. #2721C22semidirect
106. #2720C22semidirect
107. #2718C22semidirect
111. #2717C22semidirect
112. #2717C22semidirect
118. #2715C22semidirect
119. #2713C22semidirect
128. #2695C22semidirect
130. #2693C22semidirect
131. #2690C22semidirect
132. #2690C22semidirect
133. #2689C22semidirect
134. #2689C22semidirect
137. #2685C22semidirect
148. #2667C22semidirect
149. #2665C22semidirect
151. #2663C22semidirect
152. #2660C22semidirect
153. #2652C22semidirect
154. #2652C22semidirect
155. #2652C22semidirect
156. #2650C22semidirect
157. #2650C22semidirect
158. #2650C22semidirect
161. #2649C22semidirect
163. #2648C22semidirect
164. #2648C22semidirect
172. #2611C22semidirect
173. #2607C22semidirect
174. #2606C22semidirect
177. #2602C22semidirect
179. #2597C22semidirect
180. #2596C22semidirect
181. #2595C22semidirect
182. #2593C22semidirect
183. #2588C22semidirect
184. #2588C22semidirect
185. #2588C22semidirect
186. #2586C22semidirect
187. #2586C22semidirect
188. #2585C22semidirect
191. #2578C22semidirect
192. #2578C22semidirect
194. #2575C22semidirect
195. #2575C22semidirect
196. #2575C22semidirect
197. #2575C22semidirect
198. #2575C22semidirect
199. #2574C22semidirect
200. #2572C22semidirect
201. #2572C22semidirect
202. #2569C22semidirect
203. #2569C22semidirect
204. #2567C22semidirect
214. #2553C22semidirect
215. #2553C22semidirect
216. #2549C22semidirect
217. #2549C22semidirect
222. #2532C22semidirect
223. #2530C22semidirect
224. #2530C22semidirect
225. #2530C22semidirect
226. #2526C22semidirect
227. #2523C22semidirect
228. #2523C22semidirect
229. #2522C22semidirect
230. #2522C22semidirect
231. #2522C22semidirect
237. #2521C22semidirect
238. #2521C22semidirect
239. #2520C22semidirect
241. #2517C22semidirect
242. #2517C22semidirect
243. #2517C22semidirect
245. #2516C22semidirect
246. #2513C22semidirect
247. #2512C22semidirect
248. #2505C22semidirect
251. #2499C22semidirect
252. #2499C22semidirect
253. #2497C22semidirect
254. #2496C22semidirect
255. #2496C22semidirect
256. #2496C22semidirect
257. #2496C22semidirect
258. #2495C22semidirect
259. #2495C22semidirect
260. #2495C22semidirect
261. #2493C22semidirect
265. #2488C22semidirect
267. #2486C22semidirect
268. #2485C22semidirect
269. #2482C22semidirect
273. #2481C22semidirect
274. #2481C22semidirect
275. #2480C22semidirect
276. #2480C22semidirect
278. #2479C22semidirect
279. #2478C22semidirect
280. #2477C22semidirect
283. #2474C22semidirect
284. #2472C22semidirect
292. #2465C22semidirect
294. #2461C22semidirect
295. #2460C22semidirect
296. #2460C22semidirect
302. #2447C22semidirect
305. #2442C22semidirect
306. #2441C22semidirect
307. #2440C22semidirect
308. #2439C22semidirect
309. #2438C22semidirect
310. #2437C22semidirect
315. #2421C22semidirect
316. #2419C22semidirect
319. #2415C22semidirect
323. #2412C22semidirect
325. #2404C22semidirect
326. #2401C22semidirect
331. #2395C22semidirect
332. #2395C22semidirect
333. C2×#399C22semidirect
334. C2×#397C22semidirect
336. #2381C22semidirect
337. #2378C22semidirect
338. #2375C22semidirect
339. #2373C22semidirect
340. #2373C22semidirect
341. #2372C22semidirect
342. #2370C22semidirect
345. #2360C22semidirect
349. #2359C22semidirect
351. #2358C22semidirect
352. #2355C22semidirect
356. #2352C22semidirect
357. D4×C4⋊C4C22semidirect
358. #2347C22semidirect
359. #2345C22semidirect
360. #2345C22semidirect
361. #2345C22semidirect
362. #2344C22semidirect
363. #2343C22semidirect
364. #2342C22semidirect
365. #2341C22semidirect
366. #2336C22semidirect
367. #2334C22semidirect
368. #2334C22semidirect
369. #2332C22semidirect
370. #2332C22semidirect
371. #2331C22semidirect
372. #2330C22semidirect
374. #2315C22semidirect
375. #2314C22semidirect
376. #2311C22semidirect
377. #2273C22semidirect
378. #2273C22semidirect

Maximal subgroups

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

subgroupindex
#583702
#575232
#562752
#546782
#538302
#518632
#509742
#508102
#507502
#507192
#496942
#496332
#488122
#484202
#478522
#452322
#451152
#449202
#444852
#444412
#444242
#440892
#435092
#433232
#430182
#420892
#415592
#413762
#409432
#407062
#360122
#359442
#358512
#358372
#357952