Finite Group Databasebeta

← #7683839

Subgroups — #7683839

Order 512.

4568 conjugacy classes of subgroups.

The subgroup lattice has 2050 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60047C211yesmaximal, characteristic, complemented
2#60035C211yesmaximal, characteristic, complemented
3#59988C211yesmaximal, characteristic
4#59742C212yesmaximal, complemented
5#59621C211yesmaximal, characteristic
6#59604C212yesmaximal, complemented
7#59600C212yesmaximal, complemented
8#59574C212yesmaximal, complemented
9#59573C212yesmaximal, complemented
10#59335C212yesmaximal, complemented
11#59295C212yesmaximal, complemented
12#59246C212yesmaximal, complemented
13#59170C212yesmaximal, complemented
14#59169C212yesmaximal, complemented
15#44752C212yesmaximal, complemented
16#44730C212yesmaximal, complemented
17#44714C212yesmaximal, complemented
18#44701C212yesmaximal, complemented
19#44684C212yesmaximal, complemented
20#44664C212yesmaximal, complemented
21#44623C212yesmaximal, complemented
22#44615C212yesmaximal, complemented
23#43693C212yesmaximal, complemented
24#43640C212yesmaximal, complemented
25#43258C212yesmaximal, complemented
26#43234C212yesmaximal, complemented
27#35495C212yesmaximal, complemented
28#35492C212yesmaximal, complemented
29#35440C211yesmaximal, characteristic, complemented
30#35408C211yesmaximal, characteristic
31#34873C212yesmaximal, complemented
32#34816C211yesmaximal, characteristic, complemented
33#34307C212yesmaximal, complemented
34#34304C212yesmaximal, complemented
35#34247C212yesmaximal, complemented
36C2×#556C2212yes—
37C2×#552C2212yes—
38C22×#126C2212yes—
39#2809C2211yescharacteristic, complemented
40#2804C2211yescharacteristic
41#2793C2212yescomplemented
42#2788C2212yes—
43#2783C2212yescomplemented
44#2781C2212yes—
45#2778C2212yes—
46#2777C2212yes—
47#2776C2212yescomplemented
48#2776C2212yescomplemented
49#2776C2212yescomplemented
50#2775C2212yes—
51#2774C2212yescomplemented
52#2774C2212yescomplemented
53#2773C2212yes—
54#2770C2212yes—
55#2766C2212yescomplemented
56#2765C2212yes—
57#2759C2212yes—
58#2755C2212yescomplemented
59#2748C2211yescharacteristic
60#2747C2212yes—
61#2746C2212yes—
62#2745C2212yes—
63#2745C2212yes—
64#2745C2212yes—
65#2745C2212yescomplemented
66#2745C2212yescomplemented
67#2742C2212yes—
68#2742C2212yes—
69#2735C2212yes—
70#2734C2211yescharacteristic, complemented
71#2727C2212yes—
72#2725C2212yescomplemented
73#2721C2212yes—
74#2717C2211yescharacteristic, complemented
75#2716C2212yes—
76#2715C2212yes—
77#2715C2212yes—
78#2713C2212yescomplemented
79#2704C2212yes—
80#2702C2212yes—
81#2698C2212yes—
82#2698C2212yes—
83#2697C2211yescharacteristic
84#2695C2212yes—
85#2695C2212yes—
86#2690C2212yescomplemented
87#2689C2212yes—
88#2689C2212yes—
89#2684C2211yescharacteristic
90#2683C2211yescharacteristic, complemented
91#2612C2212yescomplemented
92#2612C2212yescomplemented
93#2611C2212yes—
94#2611C2212yescomplemented
95#2609C2212yes—
96#2609C2212yescomplemented
97#2608C2212yes—
98#2608C2211yescharacteristic, complemented
99#2607C2211yescharacteristic
100#2605C2212yescomplemented
101#2605C2212yescomplemented
102#2604C2212yes—
103#2604C2212yes—
104#2601C2212yes—
105#2601C2212yes—
106#2596C2212yes—
107#2595C2212yes—
108#2594C2212yes—
109#2594C2212yescomplemented
110#2594C2212yescomplemented
111#2594C2212yescomplemented
112#2593C2212yes—
113#2589C2212yescomplemented
114#2588C2212yescomplemented
115#2588C2212yescomplemented
116#2588C2212yescomplemented
117#2587C2212yes—
118#2587C2212yescomplemented
119#2587C2212yescomplemented
120#2586C2212yescomplemented
121#2586C2212yescomplemented
122#2585C2212yescomplemented
123#2585C2212yescomplemented
124#2583C2211yescharacteristic, complemented
125#2581C2212yescomplemented
126#2578C2212yes—
127#2578C2212yes—
128#2578C2212yes—
129#2577C2212yescomplemented
130#2576C2212yes—
131#2576C2212yes—
132#2576C2212yes—
133#2575C2212yes—
134#2575C2212yes—
135#2574C2212yes—
136#2574C2212yes—
137#2573C2212yes—
138#2573C2212yescomplemented
139#2572C2212yes—
140#2570C2212yescomplemented
141#2561C2211yescharacteristic
142#2560C2212yes—
143#2558C2212yes—
144#2558C2212yes—
145#2557C2212yes—
146#2556C2212yes—
147#2556C2212yes—
148#2556C2212yescomplemented
149#2553C2212yes—
150#2550C2212yescomplemented
151#2550C2212yescomplemented
152#2533C2212yescomplemented
153#2533C2212yescomplemented
154#2533C2212yescomplemented
155#2532C2212yes—
156#2530C2212yes—
157#2530C2212yescomplemented
158#2529C2212yes—
159#2528C2212yescomplemented
160#2528C2212yescomplemented
161#2528C2212yescomplemented
162#2528C2212yescomplemented
163#2528C2212yescomplemented
164#2528C2212yescomplemented
165#2528C2212yescomplemented
166#2528C2212yescomplemented
167#2527C2212yes—
168#2527C2212yes—
169#2527C2212yes—
170#2527C2212yes—
171#2527C2212yescomplemented
172#2525C2212yescomplemented
173#2524C2212yescomplemented
174#2523C2212yes—
175#2523C2212yes—
176#2521C2212yes—
177#2520C2212yescomplemented
178#2520C2212yescomplemented
179#2520C2212yescomplemented
180#2519C2212yes—
181#2519C2212yes—
182#2519C2212yescomplemented
183#2518C2212yes—
184#2518C2212yes—
185#2517C2212yescomplemented
186#2516C2212yes—
187#2515C2212yescomplemented
188#2514C2212yescomplemented
189#2514C2212yescomplemented
190#2514C2212yescomplemented
191#2514C2212yescomplemented
192#2514C2212yescomplemented
193#2514C2212yescomplemented
194#2513C2212yes—
195#2512C2212yes—
196#2511C2212yescomplemented
197#2511C2212yescomplemented
198#2510C2212yes—
199#2510C2212yescomplemented
200#2509C2212yescomplemented
201#2506C2212yescomplemented
202#2496C2212yes—
203#2496C2212yes—
204#2494C2212yes—
205#2494C2212yes—
206#2494C2212yes—
207#2492C2212yes—
208#2492C2212yes—
209#2489C2212yes—
210#2489C2212yes—
211#2485C2212yes—
212#2481C2212yes—
213#2481C2212yes—
214#2481C2212yes—
215#2481C2212yescomplemented
216#2480C2212yes—
217#2480C2212yes—
218#2479C2212yes—
219#2479C2212yescomplemented
220#2478C2212yes—
221#2478C2212yes—
222#2477C2212yes—
223#2477C2212yes—
224#2477C2212yes—
225#2475C2212yes—
226#2475C2212yescomplemented
227#2475C2212yescomplemented
228#2474C2212yes—
229#2474C2212yes—
230#2474C2212yes—
231#2474C2212yescomplemented
232#2473C2212yes—
233#2473C2212yes—
234#2472C2212yes—
235#2472C2212yes—
236#2470C2212yes—
237#2470C2212yescomplemented
238#2469C2212yes—
239#2469C2212yes—
240#2468C2212yes—
241#2466C2212yes—
242#2465C2212yes—
243#2465C2212yescomplemented
244#2462C2212yescomplemented
245#2462C2212yescomplemented
246#2459C2212yes—
247#2459C2212yes—
248#2457C2212yes—
249#2457C2212yes—
250#2453C2212yescomplemented
251#2449C2212yes—
252#2449C2212yes—
253#2442C2212yes—
254#2440C2212yes—
255#2439C2212yescomplemented
256#2437C2212yes—
257#2432C2211yescharacteristic
258#2432C2211yescharacteristic
259#2418C2212yes—
260#2418C2212yes—
261#2406C2211yescharacteristic
262#2404C2211yescharacteristic
263#2402C2212yescomplemented
264#2401C2212yes—
265#2401C2212yes—
266#2401C2212yescomplemented
267#2396C2212yescomplemented
268#2395C2212yes—
269#2374C2211yescharacteristic
270#2374C2211yescharacteristic, complemented
271#2373C2212yes—
272#2373C2212yes—
273#2373C2212yes—
274#2373C2212yes—
275#2373C2212yes—
276#2373C2212yes—
277#2373C2212yes—
278#2373C2212yes—
279#2373C2212yes—
280#2373C2212yes—
281#2373C2212yes—
282#2373C2212yes—
283#2373C2212yescomplemented
284#2373C2212yescomplemented
285#2372C2212yes—
286#2372C2212yes—
287#2372C2211yescharacteristic
288#2372C2211yescharacteristic, complemented
289#2370C2212yescomplemented
290#2370C2212yescomplemented
291#2370C2212yescomplemented
292#2370C2212yescomplemented
293#2369C2212yescomplemented
294#2369C2211yescharacteristic, complemented
295#2369C2211yescharacteristic, complemented
296#2362C2212yes—
297#2360C2212yes—
298#2360C2212yes—
299#2360C2212yescomplemented
300#2360C2212yescomplemented
301#2359C2212yes—
302#2359C2212yes—
303#2358C2211yescharacteristic
304#2358C2211yescharacteristic
305#2356C2212yescomplemented
306#2356C2212yescomplemented
307#2356C2212yescomplemented
308#2355C2212yescomplemented
309#2352C2212yes—
310#2352C2212yes—
311D4×C4⋊C4C2212yes—
312#2347C2212yes—
313#2347C2212yes—
314#2346C2212yescomplemented
315#2346C2212yescomplemented
316#2345C2212yes—
317#2345C2212yes—
318#2344C2212yes—
319#2344C2212yes—
320#2344C2212yescomplemented
321#2343C2212yescomplemented
322#2343C2212yescomplemented
323#2342C2212yes—
324#2342C2212yes—
325#2342C2212yes—
326#2342C2212yes—
327#2337C2212yes—
328#2337C2212yes—
329#2336C2212yescomplemented
330#2336C2212yescomplemented
331#2334C2212yes—
332#2334C2212yes—
333#2334C2212yes—
334#2334C2212yes—
335#2334C2212yes—
336#2334C2212yes—
337#2332C2211yescharacteristic
338#2332C2211yescharacteristic, complemented
339#2331C2212yescomplemented
340#2330C2212yescomplemented
341#2323C2212yes—
342#2323C2212yescomplemented
343#2313C2212yes—
344#2312C2212yes—
345C4×#125C2212yescomplemented
346C4×#125C2212yescomplemented
347C4×#126C2212yes—
348C4×#126C2212yes—
349C4×#126C2212yes—
350C4×#126C2212yes—
351C4×#126C2212yescomplemented
352C4×#126C2212yescomplemented
353C4×C22⋊Q8C2212yes—
354C4×C22⋊Q8C2212yes—
355C4×C22⋊Q8C2212yescomplemented
356C4×#123C2212yes—
357C4×#123C2212yes—
358#2298C2212yescomplemented
359#2297C2211yescharacteristic
360#2297C2211yescharacteristic
361#2297C2211yescharacteristic
362#2296C2212yescomplemented
363#2296C2212yescomplemented
364#2296C2211yescharacteristic, complemented
365#2295C2212yescomplemented
366#2295C2212yescomplemented
367#2290C2212yes—
368#2290C2212yes—
369#2290C2212yes—
370#2285C2211yescharacteristic, complemented
371#2283C2212yes—
372#2276C2212yescomplemented
373#2274C2212yes—
374#2274C2211yescharacteristic, complemented
375#2273C2211yescharacteristic
376C4×#117C2212yes—
377C4×#117C2211yescharacteristic, complemented
378C2×C4×C4⋊C4C2211yescharacteristic, complemented
379C22×#41C2311yescharacteristic
380#556—216no—
381#552—216no—
382C2×C4⋊Q8C2312yes—
383C2×C4⋊Q8C2311yescharacteristic
384C2×C4⋊Q8C2311yescharacteristic
385C2×#126—216no—
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×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#124C2311yescharacteristic
407C2×#124C2311yescharacteristic
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2311yescharacteristic
411C2×#123C2311yescharacteristic
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×#120C2311yescharacteristic
421C2×#120C2311yescharacteristic
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C2×#117C2312yes—
438C2×#117C2312yes—
439C2×#117C2312yes—
440C2×#117C2311yescharacteristic
441C2×#117C2311yescharacteristic
442C2×#117C2311yescharacteristic
443C22×C4⋊C4C2312yes—
444C22×C4⋊C4C2312yes—
445C22×C4⋊C4C2312yes—
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2311yescharacteristic
448C22×C22⋊C4C2312yes—
449C22×C22⋊C4C2312yes—
450C22×C22⋊C4C2312yes—
451C22×C22⋊C4C2311yescharacteristic
452C22×C42C2312yes—
453C22×C42C2311yescharacteristic
454C22×C42C2311yescharacteristic
455C22×C42C2311yescharacteristic
456#401C2312yes—
457#401C2312yes—
458#401C2312yes—
459#401C2312yes—
460#401C2312yes—
461#401C2312yes—
462#401C2312yes—
463#401C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#399C2312yes—
499#399C2312yes—
500#399C2312yes—
501#399C2312yes—
502#399C2312yes—
503#399C2312yes—
504#398C2312yes—
505#398C2312yes—
506#398C2312yes—
507#398C2312yes—
508#398C2312yes—
509#398C2312yes—
510#398C2312yes—
511#398C2312yes—
512#398C2312yes—
513#398C2312yes—
514#398C2312yes—
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#397C2312yes—
528#397C2312yes—
529#397C2312yes—
530#397C2312yes—
531#397C2312yes—
532#397C2312yes—
533#397C2312yes—
534#397C2312yes—
535#397C2312yes—
536#397C2312yes—
537#397C2312yes—
538#397C2312yes—
539#397C2312yes—
540#397C2312yes—
541#397C2312yes—
542#397C2312yes—
543#397C2312yes—
544#397C2312yes—
545#397C2312yes—
546#397C2312yes—
547#397C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2312yes—
551#397C2312yes—
552#396C2312yes—
553#396C2312yes—
554#396C2312yes—
555#396C2312yes—
556#396C2312yes—
557#396C2312yes—
558#396C2312yes—
559#396C2312yes—
560#396C2312yes—
561#396C2312yes—
562#396C2312yes—
563#396C2312yes—
564#396C2312yes—
565#396C2312yes—
566#396C2312yes—
567#396C2312yes—
568#395C2312yes—
569#395C2312yes—
570#395C2312yes—
571#395C2312yes—
572#395C2312yes—
573#395C2312yes—
574#395C2312yes—
575#395C2312yes—
576#395C2312yes—
577#395C2312yes—
578#395C2312yes—
579#395C2312yes—
580#394C2312yes—
581#394C2312yes—
582#394C2312yes—
583#394C2312yes—
584#394C2312yes—
585#394C2312yes—
586#394C2312yes—
587#394C2312yes—
588#394C2312yes—
589#394C2312yes—
590#394C2312yes—
591#393C2312yes—
592#393C2312yes—
593#393C2312yes—
594#393C2312yes—
595#393C2312yes—
596#393C2312yes—
597#393C2312yes—
598#393C2312yes—
599#392C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2311yescharacteristic
603#391C2312yes—
604#391C2312yes—
605#391C2312yes—
606#391C2312yes—
607#391C2312yes—
608#391C2312yes—
609#391C2312yes—
610#391C2312yes—
611#391C2312yes—
612#391C2312yes—
613#391C2311yescharacteristic
614#391C2312yes—
615#391C2312yes—
616#391C2312yes—
617#391C2312yes—
618#391C2312yes—
619#391C2312yes—
620#391C2312yes—
621#391C2311yescharacteristic
622#391C2312yes—
623#391C2312yes—
624#391C2312yes—
625#391C2312yes—
626#391C2312yes—
627#391C2311yescharacteristic
628#391C2312yes—
629#391C2312yes—
630#390C2312yes—
631#390C2311yescharacteristic
632#390C2311yescharacteristic
633#390C2312yes—
634#390C2311yescharacteristic
635#390C2311yescharacteristic
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2312yes—
670#389C2312yes—
671#389C2312yes—
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2312yes—
686#388C2312yes—
687#388C2312yes—
688#388C2312yes—
689#388C2312yes—
690#388C2312yes—
691#388C2312yes—
692#388C2312yes—
693#388C2312yes—
694#388C2312yes—
695#388C2312yes—
696#388C2312yes—
697#388C2312yes—
698#388C2312yes—
699#388C2312yes—
700#388C2312yes—
701#388C2312yes—
702#388C2312yes—
703#388C2312yes—
704#388C2312yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#388C2312yes—
709#388C2312yes—
710#388C2312yes—
711#388C2312yes—
712#388C2312yes—
713#388C2312yes—
714#388C2312yes—
715#388C2312yes—
716#388C2312yes—
717#388C2312yes—
718#388C2312yes—
719#388C2312yes—
720#388C2312yes—
721#388C2312yes—
722#388C2312yes—
723#388C2312yes—
724#388C2312yes—
725#388C2312yes—
726#388C2312yes—
727#388C2312yes—
728#388C2312yes—
729#388C2312yes—
730#388C2312yes—
731#388C2312yes—
732#388C2312yes—
733#388C2312yes—
734#388C2312yes—
735#388C2312yes—
736#388C2312yes—
737#388C2312yes—
738#388C2312yes—
739#388C2312yes—
740#388C2312yes—
741#388C2312yes—
742#388C2312yes—
743#388C2312yes—
744#388C2312yes—
745#388C2312yes—
746#388C2312yes—
747#388C2312yes—
748#388C2312yes—
749#388C2312yes—
750#388C2312yes—
751#388C2312yes—
752#388C2312yes—
753#388C2312yes—
754#388C2312yes—
755#388C2312yes—
756#388C2312yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#387C2312yes—
765#387C2312yes—
766#387C2312yes—
767#387C2312yes—
768#387C2312yes—
769#387C2312yes—
770#387C2312yes—
771#387C2312yes—
772#387C2312yes—
773#387C2312yes—
774#387C2312yes—
775#387C2312yes—
776#387C2312yes—
777#387C2312yes—
778#387C2312yes—
779#387C2312yes—
780#387C2312yes—
781#387C2312yes—
782#387C2312yes—
783#387C2312yes—
784#387C2312yes—
785#387C2312yes—
786#387C2312yes—
787#387C2312yes—
788#387C2312yes—
789#387C2312yes—
790#387C2312yes—
791#387C2312yes—
792#387C2312yes—
793#387C2312yes—
794#387C2312yes—
795#387C2312yes—
796#387C2312yes—
797#387C2312yes—
798#387C2312yes—
799#387C2312yes—
800#387C2312yes—
801#387C2312yes—
802#387C2312yes—
803#387C2312yes—
804#387C2312yes—
805#387C2312yes—
806#387C2312yes—
807#387C2312yes—
808#387C2312yes—
809#387C2312yes—
810#387C2312yes—
811#387C2312yes—
812#387C2312yes—
813#387C2312yes—
814#387C2312yes—
815#387C2312yes—
816#387C2312yes—
817#387C2312yes—
818#387C2312yes—
819#387C2312yes—
820#387C2312yes—
821#387C2312yes—
822#387C2312yes—
823#387C2312yes—
824#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#386C2311yescharacteristic
873#386C2311yescharacteristic
874#386C2312yes—
875#386C2312yes—
876#386C2312yes—
877#386C2312yes—
878#386C2312yes—
879#386C2312yes—
880#386C2312yes—
881#386C2312yes—
882#386C2312yes—
883#386C2312yes—
884#386C2311yescharacteristic
885#386C2312yes—
886#386C2312yes—
887#386C2311yescharacteristic
888#386C2312yes—
889#386C2311yescharacteristic
890#386C2312yes—
891#386C2311yescharacteristic
892#386C2311yescharacteristic
893#386C2311yescharacteristic
894#386C2312yes—
895#386C2312yes—
896#385C2312yes—
897#385C2312yes—
898#385C2312yes—
899#385C2312yes—
900#385C2312yes—
901#385C2312yes—
902#385C2312yes—
903#385C2312yes—
904#385C2312yes—
905#385C2312yes—
906#385C2312yes—
907#385C2312yes—
908#385C2312yes—
909#385C2312yes—
910#385C2312yes—
911#385C2312yes—
912#385C2312yes—
913#385C2312yes—
914#385C2312yes—
915#385C2312yes—
916#385C2312yes—
917#385C2312yes—
918#385C2312yes—
919#385C2312yes—
920#385C2312yes—
921#385C2312yes—
922#385C2312yes—
923#385C2312yes—
924#385C2312yes—
925#385C2312yes—
926#385C2312yes—
927#385C2312yes—
928#385C2312yes—
929#385C2312yes—
930#384C2312yes—
931#384C2312yes—
932#383C2312yes—
933#383C2312yes—
934#383C2312yes—
935#383C2312yes—
936#383C2312yes—
937#383C2312yes—
938#383C2312yes—
939#383C2312yes—
940#383C2312yes—
941#383C2312yes—
942#382C2312yes—
943#382C2312yes—
944#382C2312yes—
945#382C2312yes—
946#382C2312yes—
947#382C2312yes—
948#382C2312yes—
949#382C2312yes—
950#382C2312yes—
951#382C2312yes—
952#382C2312yes—
953#382C2312yes—
954#382C2312yes—
955#381C2312yes—
956#381C2312yes—
957#381C2312yes—
958#381C2312yes—
959#381C2311yescharacteristic
960#381C2311yescharacteristic
961#381C2312yes—
962#381C2312yes—
963#381C2312yes—
964#380C2312yes—
965#380C2312yes—
966#380C2312yes—
967#380C2312yes—
968#380C2312yes—
969#380C2312yes—
970#380C2312yes—
971#380C2312yes—
972#380C2312yes—
973#380C2312yes—
974#380C2312yes—
975#380C2312yes—
976#380C2312yes—
977#380C2312yes—
978#380C2312yes—
979#380C2312yes—
980#379C2312yes—
981#379C2312yes—
982#379C2312yes—
983C4×C4⋊C4C2312yes—
984C4×C4⋊C4C2312yes—
985C4×C4⋊C4C2312yes—
986C4×C4⋊C4C2312yes—
987C4×C4⋊C4C2312yes—
988C4×C4⋊C4C2312yes—
989C4×C4⋊C4C2312yes—
990C4×C4⋊C4C2312yes—
991C4×C4⋊C4C2312yes—
992C4×C4⋊C4C2312yes—
993C4×C4⋊C4C2312yes—
994C4×C4⋊C4C2312yes—
995C4×C4⋊C4C2312yes—
996C4×C4⋊C4C2312yes—
997C4×C4⋊C4C2312yes—
998C4×C4⋊C4C2312yes—
999C4×C4⋊C4C2312yes—
1000C4×C4⋊C4C2312yes—
1001C4×C4⋊C4C2312yes—
1002C4×C4⋊C4C2312yes—
1003C4×C4⋊C4C2312yes—
1004C4×C4⋊C4C2312yes—
1005C4×C4⋊C4C2312yes—
1006C4×C4⋊C4C2312yes—
1007C4×C4⋊C4C2312yes—
1008C4×C4⋊C4C2312yes—
1009C4×C4⋊C4C2312yes—
1010C4×C4⋊C4C2312yes—
1011C4×C4⋊C4C2312yes—
1012C4×C4⋊C4C2312yes—
1013C4×C4⋊C4C2312yes—
1014C4×C4⋊C4C2312yes—
1015C4×C4⋊C4C2312yes—
1016C4×C4⋊C4C2312yes—
1017C4×C4⋊C4C2312yes—
1018C4×C4⋊C4C2312yes—
1019C4×C4⋊C4C2312yes—
1020C4×C4⋊C4C2312yes—
1021C4×C4⋊C4C2312yes—
1022C4×C4⋊C4C2312yes—
1023C4×C4⋊C4C2312yes—
1024C4×C4⋊C4C2312yes—
1025C4×C4⋊C4C2312yes—
1026C4×C4⋊C4C2312yes—
1027C4×C4⋊C4C2312yes—
1028C4×C4⋊C4C2312yes—
1029C4×C4⋊C4C2312yes—
1030C4×C4⋊C4C2312yes—
1031C4×C4⋊C4C2312yes—
1032C4×C4⋊C4C2312yes—
1033C4×C4⋊C4C2312yes—
1034C4×C4⋊C4C2312yes—
1035C4×C4⋊C4C2312yes—
1036C4×C4⋊C4C2312yes—
1037C4×C4⋊C4C2312yes—
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C22⋊C4C2311yescharacteristic
1043C4×C22⋊C4C2312yes—
1044C4×C22⋊C4C2312yes—
1045C4×C22⋊C4C2312yes—
1046C4×C22⋊C4C2312yes—
1047C4×C22⋊C4C2312yes—
1048C4×C22⋊C4C2312yes—
1049C4×C22⋊C4C2312yes—
1050C4×C22⋊C4C2312yes—
1051C4×C22⋊C4C2312yes—
1052C4×C22⋊C4C2312yes—
1053C4×C22⋊C4C2312yes—
1054C4×C22⋊C4C2311yescharacteristic
1055C4×C22⋊C4C2312yes—
1056C4×C22⋊C4C2312yes—
1057C4×C22⋊C4C2312yes—
1058C4×C22⋊C4C2312yes—
1059C4×C22⋊C4C2312yes—
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⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2311yescharacteristic
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2311yescharacteristic
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2311yescharacteristic
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086#376C2312yes—
1087#376C2312yes—
1088#376C2312yes—
1089#376C2312yes—
1090#376C2312yes—
1091#376C2312yes—
1092#376C2312yes—
1093#376C2312yes—
1094#376C2312yes—
1095#376C2312yes—
1096#376C2312yes—
1097#376C2312yes—
1098C2×#95C2312yes—
1099C43C2312yes—
1100C43C2312yes—
1101C25C2411yescharacteristic
1102C2×#41—42no—
1103C2×#41—42no—
1104C2×#41—42no—
1105C22×Q8C2412yes—
1106C22×Q8C2412yes—
1107C22×Q8C2412yes—
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2411yescharacteristic
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2411yescharacteristic
1114C22×D4C2411yescharacteristic
1115C22×D4C2411yescharacteristic
1116C23×C4C2411yescharacteristic
1117C23×C4C2412yes—
1118C23×C4C2412yes—
1119C23×C4C2411yescharacteristic
1120C23×C4C2411yescharacteristic
1121C23×C4C2412yes—
1122C23×C4C2412yes—
1123C23×C4C2412yes—
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2411yescharacteristic
1128C23×C4C2411yescharacteristic
1129C23×C4C2411yescharacteristic
1130C23×C4C2411yescharacteristic
1131C23×C4C2411yescharacteristic
1132C4⋊Q8—28no—
1133C4⋊Q8—42no—
1134C4⋊Q8—42no—
1135#126—28no—
1136#126—28no—
1137#126—28no—
1138#126—28no—
1139#126—28no—
1140#126—28no—
1141#126—28no—
1142#126—28no—
1143#126—28no—
1144#126—28no—
1145#126—28no—
1146#126#41116yescomplemented
1147#125—28no—
1148#125—28no—
1149#125—28no—
1150#125—44no—
1151#125—44no—
1152#125—44no—
1153#124—28no—
1154#124—28no—
1155#124—42no—
1156#124—42no—
1157#123—28no—
1158#123—28no—
1159#123—42no—
1160#123—42no—
1161C22⋊Q8—28no—
1162C22⋊Q8—28no—
1163C22⋊Q8—28no—
1164C22⋊Q8—28no—
1165C22⋊Q8—44no—
1166C22⋊Q8—44no—
1167C22⋊Q8—42no—
1168C22⋊Q8—42no—
1169#120—42no—
1170#120—42no—
1171C4×Q8—28no—
1172C4×Q8—28no—
1173C4×Q8—28no—
1174C4×Q8—28no—
1175C4×Q8—44no—
1176C4×D4—28no—
1177C4×D4—28no—
1178C4×D4—44no—
1179C4×D4—44no—
1180#117—28no—
1181#117—28no—
1182#117—28no—
1183#117—28no—
1184#117—28no—
1185#117—42no—
1186#117—44no—
1187#117—44no—
1188#117—44no—
1189#117—44no—
1190#117—42no—
1191#117—42no—
1192C2×C4⋊C4—28no—
1193C2×C4⋊C4—28no—
1194C2×C4⋊C4—28no—
1195C2×C4⋊C4—28no—
1196C2×C4⋊C4—42no—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1241C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1251C2×C4⋊C4C2411yescharacteristic
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊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⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C22⋊C4—28no—
1283C2×C22⋊C4—28no—
1284C2×C22⋊C4—28no—
1285C2×C22⋊C4—42no—
1286C2×C22⋊C4C2412yes—
1287C2×C22⋊C4C2412yes—
1288C2×C22⋊C4C2412yes—
1289C2×C22⋊C4C2412yes—
1290C2×C22⋊C4C2412yes—
1291C2×C22⋊C4C2412yes—
1292C2×C22⋊C4C2412yes—
1293C2×C22⋊C4C2412yes—
1294C2×C22⋊C4C2412yes—
1295C2×C22⋊C4C2412yes—
1296C2×C22⋊C4C2412yes—
1297C2×C22⋊C4C2412yes—
1298C2×C22⋊C4C2412yes—
1299C2×C22⋊C4C2412yes—
1300C2×C22⋊C4C2412yes—
1301C2×C22⋊C4C2412yes—
1302C2×C22⋊C4C2412yes—
1303C2×C22⋊C4C2412yes—
1304C2×C22⋊C4C2412yes—
1305C2×C22⋊C4C2412yes—
1306C2×C22⋊C4C2412yes—
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C22⋊C4C2412yes—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2411yescharacteristic
1316C2×C22⋊C4C2411yescharacteristic
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2411yescharacteristic
1323C2×C22⋊C4C2411yescharacteristic
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2411yescharacteristic
1330C2×C22⋊C4C2411yescharacteristic
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×C42—28no—
1347C2×C42—42no—
1348C2×C42—42no—
1349C2×C42—42no—
1350C2×C42C2412yes—
1351C2×C42C2412yes—
1352C2×C42C2412yes—
1353C2×C42C2412yes—
1354C2×C42C2412yes—
1355C2×C42C2412yes—
1356C2×C42C2412yes—
1357C2×C42C2412yes—
1358C2×C42C2412yes—
1359C2×C42C2412yes—
1360C2×C42C2412yes—
1361C2×C42C2412yes—
1362C2×C42C2412yes—
1363C2×C42C2412yes—
1364C2×C42C2412yes—
1365C2×C42C2412yes—
1366C2×C42C2412yes—
1367C2×C42C2412yes—
1368C2×C42C2412yes—
1369C2×C42C2412yes—
1370C2×C42C2411yescharacteristic
1371C2×C42C2412yes—
1372C2×C42C2411yescharacteristic
1373C2×C42C2412yes—
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2411yescharacteristic
1379C2×C42C2411yescharacteristic
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2411yescharacteristic
1383C2×C42C2411yescharacteristic
1384C2×C42C2411yescharacteristic
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2411yescharacteristic
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2411yescharacteristic
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2411yescharacteristic
1399C2×C42C2412yes—
1400#95C2412yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2412yes—
1404#95C2412yes—
1405#95C2412yes—
1406#95C2412yes—
1407#95C2412yes—
1408#95C2412yes—
1409#95C2412yes—
1410#95C2412yes—
1411#95C2412yes—
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520C24—24no—
1521C24—41no—
1522C24—41no—
1523C24—41no—
1524C24—42no—
1525C24C2511yescharacteristic
1526C24C2511yescharacteristic
1527C24C2512yes—
1528C24C2511yescharacteristic
1529#41—88no—
1530C2×Q8—24no—
1531C2×Q8—24no—
1532C2×Q8—24no—
1533C2×Q8—24no—
1534C2×Q8—22no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—42no—
1538C2×Q8—42no—
1539C2×Q8—42no—
1540C2×Q8—41no—
1541C2×Q8—41no—
1542C2×Q8—41no—
1543C2×Q8—41no—
1544C2×Q8—41no—
1545C2×Q8—41no—
1546C2×Q8—41no—
1547C2×Q8—41no—
1548C2×D4—24no—
1549C2×D4—24no—
1550C2×D4—24no—
1551C2×D4—22no—
1552C2×D4—22no—
1553C2×D4—22no—
1554C2×D4—42no—
1555C2×D4—42no—
1556C2×D4—42no—
1557C2×D4—41no—
1558C2×D4—41no—
1559C2×D4—41no—
1560C2×D4—41no—
1561C2×D4—41no—
1562C2×D4—41no—
1563C22×C4—22no—
1564C22×C4—22no—
1565C22×C4—22no—
1566C22×C4—24no—
1567C22×C4—24no—
1568C22×C4—24no—
1569C22×C4—24no—
1570C22×C4—24no—
1571C22×C4—24no—
1572C22×C4—24no—
1573C22×C4—24no—
1574C22×C4—24no—
1575C22×C4—24no—
1576C22×C4—24no—
1577C22×C4—24no—
1578C22×C4—24no—
1579C22×C4—24no—
1580C22×C4—22no—
1581C22×C4—22no—
1582C22×C4—41no—
1583C22×C4—41no—
1584C22×C4—42no—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—41no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—42no—
1592C22×C4—42no—
1593C22×C4—42no—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—41no—
1599C22×C4—41no—
1600C22×C4—41no—
1601C22×C4—41no—
1602C22×C4—41no—
1603C22×C4—41no—
1604C22×C4—41no—
1605C22×C4—41no—
1606C22×C4—42no—
1607C22×C4C2512yes—
1608C22×C4C2511yescharacteristic
1609C22×C4C2511yescharacteristic
1610C22×C4C2512yes—
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2512yes—
1620C22×C4C2512yes—
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2512yes—
1635C22×C4C2512yes—
1636C22×C4C2511yescharacteristic
1637C22×C4C2511yescharacteristic
1638C4⋊C4—24no—
1639C4⋊C4—24no—
1640C4⋊C4—24no—
1641C4⋊C4—24no—
1642C4⋊C4—24no—
1643C4⋊C4—24no—
1644C4⋊C4—24no—
1645C4⋊C4—24no—
1646C4⋊C4—24no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—24no—
1652C4⋊C4—24no—
1653C4⋊C4—24no—
1654C4⋊C4—24no—
1655C4⋊C4—24no—
1656C4⋊C4—24no—
1657C4⋊C4—24no—
1658C4⋊C4—24no—
1659C4⋊C4—24no—
1660C4⋊C4—24no—
1661C4⋊C4—24no—
1662C4⋊C4—24no—
1663C4⋊C4—24no—
1664C4⋊C4—24no—
1665C4⋊C4—24no—
1666C4⋊C4—24no—
1667C4⋊C4—24no—
1668C4⋊C4—24no—
1669C4⋊C4—24no—
1670C4⋊C4—24no—
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—24no—
1674C4⋊C4—24no—
1675C4⋊C4—24no—
1676C4⋊C4—24no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—42no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—41no—
1695C4⋊C4—41no—
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—41no—
1706C4⋊C4—41no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4C2×#4118yes—
1721C4⋊C4C2×#4118yes—
1722C4⋊C4C2×#4118yes—
1723C22⋊C4—24no—
1724C22⋊C4—24no—
1725C22⋊C4—24no—
1726C22⋊C4—24no—
1727C22⋊C4—24no—
1728C22⋊C4—24no—
1729C22⋊C4—24no—
1730C22⋊C4—24no—
1731C22⋊C4—24no—
1732C22⋊C4—24no—
1733C22⋊C4—24no—
1734C22⋊C4—24no—
1735C22⋊C4—24no—
1736C22⋊C4—24no—
1737C22⋊C4—24no—
1738C22⋊C4—24no—
1739C22⋊C4—24no—
1740C22⋊C4—24no—
1741C22⋊C4—24no—
1742C22⋊C4—24no—
1743C22⋊C4—24no—
1744C22⋊C4—24no—
1745C22⋊C4—24no—
1746C22⋊C4—24no—
1747C22⋊C4—24no—
1748C22⋊C4—24no—
1749C22⋊C4—42no—
1750C22⋊C4—42no—
1751C22⋊C4—42no—
1752C22⋊C4—42no—
1753C22⋊C4—42no—
1754C22⋊C4—42no—
1755C22⋊C4—42no—
1756C22⋊C4—42no—
1757C22⋊C4—42no—
1758C22⋊C4—42no—
1759C22⋊C4—42no—
1760C22⋊C4—42no—
1761C22⋊C4—42no—
1762C22⋊C4—42no—
1763C22⋊C4—42no—
1764C22⋊C4—41no—
1765C22⋊C4—41no—
1766C22⋊C4—42no—
1767C22⋊C4—42no—
1768C22⋊C4—41no—
1769C22⋊C4—42no—
1770C22⋊C4—41no—
1771C22⋊C4—42no—
1772C22⋊C4—42no—
1773C22⋊C4—42no—
1774C22⋊C4—42no—
1775C22⋊C4—42no—
1776C22⋊C4—41no—
1777C22⋊C4—41no—
1778C22⋊C4—42no—
1779C22⋊C4—42no—
1780C22⋊C4C2×#4118yes—
1781C22⋊C4C2×#4118yes—
1782C22⋊C4C2×#4118yes—
1783C42—24no—
1784C42—24no—
1785C42—24no—
1786C42—24no—
1787C42—24no—
1788C42—24no—
1789C42—24no—
1790C42—24no—
1791C42—24no—
1792C42—24no—
1793C42—24no—
1794C42—24no—
1795C42—24no—
1796C42—24no—
1797C42—24no—
1798C42—42no—
1799C42—41no—
1800C42—42no—
1801C42—42no—
1802C42—41no—
1803C42—41no—
1804C42—41no—
1805C42—42no—
1806C42—42no—
1807C42—42no—
1808C42—42no—
1809C42—42no—
1810C42—42no—
1811C42—42no—
1812C42—42no—
1813C42—42no—
1814C42—42no—
1815C42—42no—
1816C42—41no—
1817C42—42no—
1818C42—41no—
1819C42—42no—
1820C42—42no—
1821C42—42no—
1822C42—42no—
1823C42—42no—
1824C42—42no—
1825C42—42no—
1826C42—41no—
1827C42—41no—
1828C42—42no—
1829C42—42no—
1830C42—41no—
1831C42—41no—
1832C42C2×#4118yes—
1833C23—22no—
1834C23—22no—
1835C23—22no—
1836C23—22no—
1837C23—21no—
1838C23—22no—
1839C23—21no—
1840C23—22no—
1841C23—22no—
1842C23—22no—
1843C23—22no—
1844C23—22no—
1845C23—21no—
1846C23—21no—
1847C23—21no—
1848C23—21no—
1849C23—21no—
1850C23—21no—
1851C23—22no—
1852C23—22no—
1853C23—44no—
1854C23—84no—
1855C23—84no—
1856C23—161no—
1857C23—161no—
1858C23C22×#4114yes—
1859C23#58512yes—
1860C23C2611yescharacteristic
1861Q8—48no—
1862Q8—84no—
1863Q8—84no—
1864Q8—82no—
1865Q8—161no—
1866Q8—161no—
1867D4—48no—
1868D4—82no—
1869D4—84no—
1870D4—82no—
1871D4—82no—
1872C2×C4—28no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—21no—
1878C2×C4—21no—
1879C2×C4—21no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—21no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—21no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—21no—
1931C2×C4—21no—
1932C2×C4—21no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—21no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—21no—
1940C2×C4—22no—
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—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—44no—
1959C2×C4—44no—
1960C2×C4—48no—
1961C2×C4—48no—
1962C2×C4—48no—
1963C2×C4—48no—
1964C2×C4—84no—
1965C2×C4—84no—
1966C2×C4—84no—
1967C2×C4—84no—
1968C2×C4—82no—
1969C2×C4—82no—
1970C2×C4—82no—
1971C2×C4—161no—
1972C2×C4—161no—
1973C2×C4C22×#4114yes—
1974C2×C4C22×#4114yes—
1975C2×C4C22×#4114yes—
1976C2×C4C22×#4114yes—
1977C2×C4C22×#4114yes—
1978C2×C4C22×#4114yes—
1979C2×C4#58512yes—
1980C2×C4#58512yes—
1981C22—24no—
1982C22—24no—
1983C22—24no—
1984C22—22no—
1985C22—24no—
1986C22—42no—
1987C22—42no—
1988C22—42no—
1989C22—42no—
1990C22—41no—
1991C22—42no—
1992C22—41no—
1993C22—42no—
1994C22—42no—
1995C22—42no—
1996C22—42no—
1997C22—41no—
1998C22—41no—
1999C22—41no—
2000C22—41no—
2001C22—41no—
2002C22—41no—
2003C22—164no—
2004C22C23×#4112yes—
2005C22C2×#58511yescharacteristic
2006C22C2×#58511yescharacteristic
2007C22C2×#58511yescharacteristic
2008C222−1+612yes—
2009C4—24no—
2010C4—24no—
2011C4—24no—
2012C4—24no—
2013C4—22no—
2014C4—22no—
2015C4—24no—
2016C4—24no—
2017C4—42no—
2018C4—42no—
2019C4—42no—
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—41no—
2030C4—41no—
2031C4—42no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C4—42no—
2037C4—42no—
2038C4—42no—
2039C4—42no—
2040C2—42no—
2041C2—44no—
2042C2—81no—
2043C2—81no—
2044C2#41211yescharacteristic
2045C2#6282611yescharacteristic
2046C2#6289111yescharacteristic
2047C2#6299312yes—
2048C2#6300912yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2404C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #60047C2semidirect
2. #60035C2semidirect
4. #59742C2semidirect
6. #59604C2semidirect
7. #59600C2semidirect
8. #59574C2semidirect
9. #59573C2semidirect
10. #59335C2semidirect
11. #59295C2semidirect
12. #59246C2semidirect
13. #59170C2semidirect
14. #59169C2semidirect
15. #44752C2semidirect
16. #44730C2semidirect
17. #44714C2semidirect
18. #44701C2semidirect
19. #44684C2semidirect
20. #44664C2semidirect
21. #44623C2semidirect
22. #44615C2semidirect
23. #43693C2semidirect
24. #43640C2semidirect
25. #43258C2semidirect
26. #43234C2semidirect
27. #35495C2semidirect
28. #35492C2semidirect
29. #35440C2semidirect
31. #34873C2semidirect
32. #34816C2semidirect
33. #34307C2semidirect
34. #34304C2semidirect
35. #34247C2semidirect
39. #2809C22semidirect
41. #2793C22semidirect
43. #2783C22semidirect
47. #2776C22semidirect
48. #2776C22semidirect
49. #2776C22semidirect
51. #2774C22semidirect
52. #2774C22semidirect
55. #2766C22semidirect
58. #2755C22semidirect
65. #2745C22semidirect
66. #2745C22semidirect
70. #2734C22semidirect
72. #2725C22semidirect
74. #2717C22semidirect
78. #2713C22semidirect
86. #2690C22semidirect
90. #2683C22semidirect
91. #2612C22semidirect
92. #2612C22semidirect
94. #2611C22semidirect
96. #2609C22semidirect
98. #2608C22semidirect
100. #2605C22semidirect
101. #2605C22semidirect
109. #2594C22semidirect
110. #2594C22semidirect
111. #2594C22semidirect
113. #2589C22semidirect
114. #2588C22semidirect
115. #2588C22semidirect
116. #2588C22semidirect
118. #2587C22semidirect
119. #2587C22semidirect
120. #2586C22semidirect
121. #2586C22semidirect
122. #2585C22semidirect
123. #2585C22semidirect
124. #2583C22semidirect
125. #2581C22semidirect
129. #2577C22semidirect
138. #2573C22semidirect
140. #2570C22semidirect
148. #2556C22semidirect
150. #2550C22semidirect
151. #2550C22semidirect
152. #2533C22semidirect
153. #2533C22semidirect
154. #2533C22semidirect
157. #2530C22semidirect
159. #2528C22semidirect
160. #2528C22semidirect
161. #2528C22semidirect
162. #2528C22semidirect
163. #2528C22semidirect
164. #2528C22semidirect
165. #2528C22semidirect
166. #2528C22semidirect
171. #2527C22semidirect
172. #2525C22semidirect
173. #2524C22semidirect
177. #2520C22semidirect
178. #2520C22semidirect
179. #2520C22semidirect
182. #2519C22semidirect
185. #2517C22semidirect
187. #2515C22semidirect
188. #2514C22semidirect
189. #2514C22semidirect
190. #2514C22semidirect
191. #2514C22semidirect
192. #2514C22semidirect
193. #2514C22semidirect
196. #2511C22semidirect
197. #2511C22semidirect
199. #2510C22semidirect
200. #2509C22semidirect
201. #2506C22semidirect
215. #2481C22semidirect
219. #2479C22semidirect
226. #2475C22semidirect
227. #2475C22semidirect
231. #2474C22semidirect
237. #2470C22semidirect
243. #2465C22semidirect
244. #2462C22semidirect
245. #2462C22semidirect
250. #2453C22semidirect
255. #2439C22semidirect
263. #2402C22semidirect
266. #2401C22semidirect
267. #2396C22semidirect
270. #2374C22semidirect
283. #2373C22semidirect
284. #2373C22semidirect
288. #2372C22semidirect
289. #2370C22semidirect
290. #2370C22semidirect
291. #2370C22semidirect
292. #2370C22semidirect
293. #2369C22semidirect
294. #2369C22semidirect
295. #2369C22semidirect
299. #2360C22semidirect
300. #2360C22semidirect
305. #2356C22semidirect
306. #2356C22semidirect
307. #2356C22semidirect
308. #2355C22semidirect
314. #2346C22semidirect
315. #2346C22semidirect
320. #2344C22semidirect
321. #2343C22semidirect
322. #2343C22semidirect
329. #2336C22semidirect
330. #2336C22semidirect
338. #2332C22semidirect
339. #2331C22semidirect
340. #2330C22semidirect
342. #2323C22semidirect
345. C4×#125C22semidirect
346. C4×#125C22semidirect
351. C4×#126C22semidirect
352. C4×#126C22semidirect
355. C4×C22⋊Q8C22semidirect
358. #2298C22semidirect
362. #2296C22semidirect
363. #2296C22semidirect
364. #2296C22semidirect
365. #2295C22semidirect
366. #2295C22semidirect
370. #2285C22semidirect
372. #2276C22semidirect
374. #2274C22semidirect
377. C4×#117C22semidirect
378. C2×C4×C4⋊C4C22semidirect
1146. #126#41semidirect

Maximal subgroups

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

subgroupindex
#600472
#600352
#599882
#597422
#596212
#596042
#596002
#595742
#595732
#593352
#592952
#592462
#591702
#591692
#447522
#447302
#447142
#447012
#446842
#446642
#446232
#446152
#436932
#436402
#432582
#432342
#354952
#354922
#354402
#354082
#348732
#348162
#343072
#343042
#342472