Finite Group Databasebeta

← #8075351

Subgroups — #8075351

Order 512.

4597 conjugacy classes of subgroups.

The subgroup lattice has 2093 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59991C212yesmaximal, complemented
2#59928C211yesmaximal, characteristic, complemented
3#59878C211yesmaximal, characteristic, complemented
4#59877C211yesmaximal, characteristic, complemented
5#59704C212yesmaximal, complemented
6#59661C212yesmaximal, complemented
7#51801C212yesmaximal, complemented
8#51627C212yesmaximal, complemented
9#51541C212yesmaximal, complemented
10#49657C212yesmaximal, complemented
11#49257C212yesmaximal, complemented
12#49244C212yesmaximal, complemented
13#49025C212yesmaximal, complemented
14#48408C212yesmaximal, complemented
15#48393C212yesmaximal, complemented
16#47668C212yesmaximal, complemented
17#47616C212yesmaximal, complemented
18#47612C212yesmaximal, complemented
19#45249C212yesmaximal, complemented
20#44849C212yesmaximal, complemented
21#44765C212yesmaximal, complemented
22#44406C212yesmaximal, complemented
23#44400C212yesmaximal, complemented
24#44247C212yesmaximal, complemented
25#44233C212yesmaximal, complemented
26#44073C212yesmaximal, complemented
27#44070C212yesmaximal, complemented
28#40317C212yesmaximal, complemented
29#40197C212yesmaximal, complemented
30#39761C211yesmaximal, characteristic, complemented
31#39753C211yesmaximal, characteristic, complemented
32#39360C211yesmaximal, characteristic, complemented
33#38087C212yesmaximal, complemented
34#34522C211yesmaximal, characteristic, complemented
35#34412C212yesmaximal, complemented
36C2×#562C2211yescharacteristic
37C2×#552C2212yes—
38C2×D4×Q8C2211yescharacteristic
39C2×#547C2211yescharacteristic
40C2×#541C2212yes—
41C2×#536C2212yes—
42#2868C2211yescharacteristic
43#2854C2212yes—
44#2839C2212yes—
45#2811C2211yescharacteristic
46#2809C2211yescharacteristic
47#2808C2212yes—
48#2808C2211yescharacteristic
49#2808C2211yescharacteristic
50#2806C2211yescharacteristic
51#2805C2211yescharacteristic
52#2802C2212yes—
53#2799C2212yes—
54#2798C2212yes—
55#2797C2212yes—
56#2796C2212yes—
57#2793C2212yes—
58#2793C2212yes—
59#2793C2212yes—
60#2793C2212yes—
61#2793C2212yes—
62#2791C2212yes—
63#2791C2212yes—
64#2789C2212yes—
65#2788C2212yes—
66#2787C2212yes—
67#2787C2212yes—
68#2784C2212yes—
69#2783C2212yes—
70#2781C2212yes—
71#2777C2212yes—
72#2777C2212yes—
73#2773C2212yes—
74#2768C2212yes—
75#2766C2212yes—
76#2763C2212yes—
77#2762C2212yes—
78#2759C2212yes—
79#2755C2212yes—
80#2754C2212yes—
81#2754C2212yes—
82#2753C2212yes—
83#2752C2212yes—
84#2750C2212yes—
85#2747C2212yes—
86#2745C2212yes—
87#2742C2212yes—
88#2738C2212yes—
89#2733C2211yescharacteristic
90#2732C2211yescharacteristic
91#2732C2211yescharacteristic
92#2730C2212yes—
93#2729C2212yes—
94#2729C2212yes—
95#2727C2211yescharacteristic
96#2727C2211yescharacteristic
97#2726C2212yes—
98#2726C2211yescharacteristic
99#2725C2212yes—
100#2722C2212yes—
101#2719C2212yes—
102#2716C2212yes—
103#2716C2212yes—
104#2716C2212yes—
105#2714C2212yes—
106#2713C2212yes—
107#2713C2212yes—
108#2713C2212yes—
109#2711C2212yes—
110#2711C2212yes—
111#2706C2212yes—
112#2706C2212yes—
113#2704C2212yes—
114#2704C2212yes—
115#2702C2212yes—
116#2702C2212yes—
117#2702C2212yes—
118#2702C2212yes—
119#2696C2212yes—
120#2695C2212yes—
121#2695C2212yes—
122#2694C2212yes—
123#2694C2212yes—
124#2692C2212yes—
125#2690C2212yes—
126#2690C2212yes—
127#2689C2212yes—
128#2687C2212yes—
129#2687C2212yes—
130#2686C2212yes—
131#2686C2212yes—
132#2681C2212yes—
133#2681C2212yes—
134#2681C2212yes—
135#2680C2212yes—
136#2680C2212yes—
137#2680C2212yes—
138#2680C2212yes—
139#2680C2212yes—
140#2680C2212yes—
141#2660C2212yes—
142#2653C2212yes—
143#2649C2212yes—
144#2649C2212yes—
145#2640C2212yes—
146#2639C2212yes—
147#2630C2212yes—
148#2621C2212yes—
149#2618C2212yes—
150#2612C2212yes—
151#2612C2212yes—
152#2611C2212yes—
153#2611C2212yes—
154#2610C2212yes—
155#2605C2212yes—
156#2605C2212yes—
157#2604C2212yes—
158#2602C2212yes—
159#2601C2212yes—
160#2601C2212yes—
161#2601C2212yes—
162#2599C2212yes—
163#2597C2212yes—
164#2596C2212yes—
165#2596C2212yes—
166#2594C2212yes—
167#2594C2212yes—
168#2594C2212yes—
169#2594C2212yes—
170#2593C2212yes—
171#2593C2212yes—
172#2590C2212yes—
173#2590C2212yes—
174#2589C2212yes—
175#2588C2212yes—
176#2585C2212yes—
177#2585C2212yes—
178#2582C2211yescharacteristic
179#2581C2212yes—
180#2578C2212yes—
181#2577C2212yes—
182#2576C2212yes—
183#2574C2212yes—
184#2574C2212yes—
185#2574C2212yes—
186#2574C2212yes—
187#2571C2211yescharacteristic
188#2570C2212yes—
189#2569C2212yes—
190#2565C2212yes—
191#2565C2212yes—
192#2565C2212yes—
193#2564C2212yes—
194#2562C2212yes—
195#2560C2212yes—
196#2560C2212yes—
197#2560C2212yes—
198#2558C2212yes—
199#2556C2212yes—
200#2556C2212yes—
201#2556C2212yes—
202#2556C2212yes—
203#2556C2212yes—
204#2554C2212yes—
205#2553C2212yes—
206#2553C2212yes—
207#2552C2211yescharacteristic
208#2552C2212yes—
209#2550C2212yes—
210#2549C2212yes—
211#2549C2212yes—
212#2549C2212yes—
213#2547C2211yescharacteristic
214#2546C2211yescharacteristic
215#2543C2212yes—
216#2538C2212yes—
217#2538C2211yescharacteristic
218#2536C2212yes—
219#2533C2212yes—
220#2532C2212yes—
221#2532C2212yes—
222#2529C2212yes—
223#2529C2212yes—
224#2528C2212yes—
225#2528C2212yes—
226#2527C2212yes—
227#2526C2212yes—
228#2524C2212yes—
229#2520C2212yes—
230#2520C2212yes—
231#2518C2212yes—
232#2516C2212yes—
233#2513C2212yes—
234#2512C2212yes—
235#2511C2212yes—
236#2510C2212yes—
237#2507C2212yes—
238#2506C2212yes—
239#2506C2212yes—
240#2505C2212yes—
241#2505C2212yes—
242#2499C2212yes—
243#2498C2212yes—
244#2498C2212yes—
245#2496C2212yes—
246#2494C2212yes—
247#2493C2212yes—
248#2492C2212yes—
249#2488C2212yes—
250#2488C2212yes—
251#2481C2212yes—
252#2479C2212yes—
253#2479C2212yes—
254#2478C2212yes—
255#2478C2212yes—
256#2477C2212yes—
257#2476C2212yes—
258#2475C2212yes—
259#2475C2212yes—
260#2473C2212yes—
261#2473C2212yes—
262#2471C2212yes—
263#2469C2212yes—
264#2468C2212yes—
265#2467C2212yes—
266#2467C2212yes—
267#2467C2212yes—
268#2465C2212yes—
269#2465C2212yes—
270#2465C2212yes—
271#2465C2212yes—
272#2464C2212yes—
273#2464C2212yes—
274#2462C2212yes—
275#2462C2212yes—
276#2460C2212yes—
277#2460C2212yes—
278#2460C2212yes—
279#2460C2212yes—
280#2458C2212yes—
281#2453C2212yes—
282#2451C2212yes—
283#2450C2212yes—
284#2449C2212yes—
285#2448C2212yes—
286#2440C2212yes—
287#2440C2212yes—
288#2439C2212yes—
289#2438C2212yes—
290#2438C2212yes—
291#2434C2212yes—
292#2432C2212yes—
293#2430C2212yes—
294#2430C2212yes—
295#2426C2212yes—
296#2423C2212yes—
297#2423C2212yes—
298#2423C2212yes—
299#2422C2212yes—
300#2422C2212yes—
301#2422C2212yes—
302#2422C2212yes—
303#2421C2212yes—
304#2409C2212yes—
305#2409C2212yes—
306#2399C2212yes—
307#2396C2212yes—
308#2392C2212yes—
309#2382C2211yescharacteristic
310#2379C2211yescharacteristic
311#2379C2211yescharacteristic
312#2379C2212yes—
313#2376C2212yes—
314#2376C2212yes—
315#2374C2212yes—
316#2374C2212yes—
317#2373C2212yes—
318#2373C2212yes—
319#2372C2212yes—
320#2372C2212yes—
321#2372C2212yes—
322#2370C2212yes—
323#2368C2212yes—
324#2368C2212yes—
325#2368C2212yes—
326#2368C2212yes—
327#2368C2212yes—
328#2367C2212yes—
329#2365C2212yes—
330#2363C2212yes—
331#2363C2212yes—
332#2362C2212yes—
333#2362C2212yes—
334#2360C2212yes—
335#2360C2212yes—
336#2359C2212yes—
337#2359C2212yes—
338#2359C2212yes—
339#2355C2211yescharacteristic
340#2355C2211yescharacteristic
341#2354C2211yescharacteristic
342Q8×C4⋊C4C2211yescharacteristic
343#2346C2212yes—
344#2346C2212yes—
345#2343C2212yes—
346Q8×C22⋊C4C2212yes—
347Q8×C22⋊C4C2212yes—
348#2337C2212yes—
349#2335C2212yes—
350#2335C2212yes—
351#2335C2212yes—
352#2335C2212yes—
353#2335C2212yes—
354#2335C2212yes—
355#2334C2212yes—
356#2331C2212yes—
357#2331C2212yes—
358#2331C2212yes—
359#2331C2212yes—
360#2325C2212yes—
361#2325C2212yes—
362#2323C2212yes—
363#2323C2212yes—
364#2323C2212yes—
365#2323C2212yes—
366#2311C2212yes—
367C4×#125C2211yescharacteristic
368C4×#124C2211yescharacteristic
369C4×#124C2211yescharacteristic
370C4×C22⋊Q8C2212yes—
371C4×C22⋊Q8C2212yes—
372C4×C22⋊Q8C2212yes—
373#2297C2212yes—
374#2295C2211yescharacteristic
375#2295C2211yescharacteristic
376#2293C2211yescharacteristic
377#2290C2212yes—
378C2×#387C2212yes—
379C22×#41C2312yes—
380C23×Q8C2312yes—
381#562—28no—
382#552—48no—
383D4×Q8—44no—
384#547—44no—
385#541—48no—
386#536—216no—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
390C2×C4⋊Q8C2311yescharacteristic
391C2×C4⋊Q8C2311yescharacteristic
392C2×C4⋊Q8C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#125C2311yescharacteristic
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#124C2312yes—
410C2×#124C2311yescharacteristic
411C2×#124C2312yes—
412C2×#124C2311yescharacteristic
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2312yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×#117C2312yes—
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2312yes—
473C22×C42C2312yes—
474#401C2312yes—
475#401C2312yes—
476#401C2312yes—
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#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
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#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#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#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#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#395C2312yes—
601#395C2312yes—
602#395C2312yes—
603#395C2312yes—
604#395C2312yes—
605#395C2312yes—
606#395C2312yes—
607#395C2312yes—
608#395C2312yes—
609#395C2312yes—
610#395C2312yes—
611#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#395C2312yes—
615#395C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#393C2312yes—
639#393C2312yes—
640#393C2312yes—
641#393C2312yes—
642#393C2312yes—
643#393C2312yes—
644#393C2312yes—
645#393C2312yes—
646#393C2312yes—
647#393C2312yes—
648#393C2312yes—
649#393C2312yes—
650#392C2312yes—
651#392C2312yes—
652#392C2312yes—
653#392C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2311yescharacteristic
658#391C2312yes—
659#391C2312yes—
660#391C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2312yes—
665#391C2311yescharacteristic
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2311yescharacteristic
688#391C2311yescharacteristic
689#391C2311yescharacteristic
690#391C2311yescharacteristic
691#390C2312yes—
692#390C2312yes—
693#390C2312yes—
694#390C2312yes—
695#390C2312yes—
696#390C2312yes—
697#390C2312yes—
698#390C2312yes—
699#390C2312yes—
700#390C2311yescharacteristic
701#390C2312yes—
702#390C2312yes—
703#390C2312yes—
704#390C2312yes—
705#390C2311yescharacteristic
706#390C2311yescharacteristic
707#390C2311yescharacteristic
708#389C2311yescharacteristic
709#389C2311yescharacteristic
710#389C2312yes—
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2311yescharacteristic
749#389C2311yescharacteristic
750#389C2311yescharacteristic
751#389C2312yes—
752#389C2312yes—
753#389C2311yescharacteristic
754#389C2311yescharacteristic
755#389C2311yescharacteristic
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#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
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#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#384C2312yes—
987#384C2312yes—
988#384C2312yes—
989#384C2312yes—
990#384C2311yescharacteristic
991#384C2311yescharacteristic
992#384C2312yes—
993#384C2311yescharacteristic
994#384C2311yescharacteristic
995#383C2312yes—
996#383C2312yes—
997#383C2312yes—
998#382C2311yescharacteristic
999#382C2312yes—
1000#382C2312yes—
1001#382C2312yes—
1002#382C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2311yescharacteristic
1007#382C2312yes—
1008#382C2312yes—
1009#382C2311yescharacteristic
1010#381C2312yes—
1011#381C2312yes—
1012#381C2312yes—
1013#380C2312yes—
1014#380C2312yes—
1015#380C2312yes—
1016#380C2312yes—
1017#380C2312yes—
1018#380C2312yes—
1019#380C2312yes—
1020#380C2312yes—
1021#380C2312yes—
1022#380C2312yes—
1023#380C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033C4×C4⋊C4C2312yes—
1034C4×C4⋊C4C2312yes—
1035C4×C4⋊C4C2312yes—
1036C4×C4⋊C4C2312yes—
1037C4×C4⋊C4C2311yescharacteristic
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2311yescharacteristic
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2311yescharacteristic
1046C4×C4⋊C4C2311yescharacteristic
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⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2311yescharacteristic
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⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092#376C2312yes—
1093#376C2312yes—
1094#376C2312yes—
1095#376C2312yes—
1096#376C2312yes—
1097#376C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C43C2311yescharacteristic
1104C2×#41—28no—
1105C2×#41—44no—
1106C2×#41—82no—
1107C22×Q8—28no—
1108C22×Q8—44no—
1109C22×Q8—82no—
1110C22×Q8C2412yes—
1111C22×Q8C2412yes—
1112C22×Q8C2411yescharacteristic
1113C22×Q8C2411yescharacteristic
1114C22×Q8C2412yes—
1115C22×Q8C2412yes—
1116C22×Q8C2412yes—
1117C22×Q8C2411yescharacteristic
1118C22×Q8C2411yescharacteristic
1119C22×D4C2411yescharacteristic
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2411yescharacteristic
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2411yescharacteristic
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C4⋊Q8—28no—
1142C4⋊Q8—28no—
1143C4⋊Q8—28no—
1144C4⋊Q8—42no—
1145C4⋊Q8—42no—
1146C4⋊Q8—82no—
1147#126—28no—
1148#126—44no—
1149#126—44no—
1150#126—44no—
1151#126—44no—
1152#126—44no—
1153#126—44no—
1154#125—28no—
1155#125—24no—
1156#125—44no—
1157#125—44no—
1158#125—44no—
1159#125—44no—
1160#125—44no—
1161#125—44no—
1162#125—82no—
1163#124—28no—
1164#124—28no—
1165#124—24no—
1166#124#4118yes—
1167#123—28no—
1168#123—28no—
1169#123—28no—
1170#123—28no—
1171#123—28no—
1172#123—28no—
1173#123—44no—
1174#123—44no—
1175#123—44no—
1176#123—44no—
1177#123—44no—
1178C22⋊Q8—28no—
1179C22⋊Q8—28no—
1180C22⋊Q8—28no—
1181C22⋊Q8—28no—
1182C22⋊Q8—28no—
1183C22⋊Q8—28no—
1184C22⋊Q8—28no—
1185C22⋊Q8—44no—
1186C22⋊Q8—44no—
1187C22⋊Q8—44no—
1188C22⋊Q8—44no—
1189C22⋊Q8—44no—
1190C22⋊Q8—44no—
1191C22⋊Q8—44no—
1192C22⋊Q8—44no—
1193C22⋊Q8—44no—
1194C22⋊Q8—82no—
1195#121—28no—
1196#121—28no—
1197#121—44no—
1198#121—82no—
1199#121—82no—
1200C4×Q8—24no—
1201C4×Q8—42no—
1202C4×Q8—42no—
1203C4×Q8—44no—
1204C4×Q8—42no—
1205C4×Q8—44no—
1206C4×Q8—44no—
1207C4×Q8—82no—
1208C4×Q8—82no—
1209C4×Q8—82no—
1210C4×D4—24no—
1211C4×D4—44no—
1212C4×D4—42no—
1213C4×D4—42no—
1214C4×D4—44no—
1215C4×D4—44no—
1216C4×D4—82no—
1217C4×D4—82no—
1218#117—28no—
1219#117—44no—
1220#117—44no—
1221#117—44no—
1222#117—44no—
1223#117—44no—
1224#117—82no—
1225C2×C4⋊C4—28no—
1226C2×C4⋊C4—82no—
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⋊C4C2411yescharacteristic
1239C2×C4⋊C4C2411yescharacteristic
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⋊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⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2411yescharacteristic
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2411yescharacteristic
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2411yescharacteristic
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2411yescharacteristic
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2411yescharacteristic
1314C2×C4⋊C4C2411yescharacteristic
1315C2×C4⋊C4C2411yescharacteristic
1316C2×C4⋊C4C2411yescharacteristic
1317C2×C4⋊C4C2411yescharacteristic
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2411yescharacteristic
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C42—82no—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2411yescharacteristic
1399C2×C42C2411yescharacteristic
1400C2×C42C2411yescharacteristic
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2411yescharacteristic
1423C2×C42C2411yescharacteristic
1424C2×C42C2411yescharacteristic
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2411yescharacteristic
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—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540C24C2512yes—
1541C24C2512yes—
1542C24C2512yes—
1543#41—816no—
1544C2×Q8—24no—
1545C2×Q8—24no—
1546C2×Q8—22no—
1547C2×Q8—24no—
1548C2×Q8—24no—
1549C2×Q8—24no—
1550C2×Q8—24no—
1551C2×Q8—22no—
1552C2×Q8—41no—
1553C2×Q8—41no—
1554C2×Q8—42no—
1555C2×Q8—42no—
1556C2×Q8—41no—
1557C2×Q8—41no—
1558C2×Q8—42no—
1559C2×Q8—41no—
1560C2×Q8—42no—
1561C2×Q8—42no—
1562C2×Q8—41no—
1563C2×Q8—42no—
1564C2×Q8—42no—
1565C2×Q8—41no—
1566C2×Q8—41no—
1567C2×Q8—42no—
1568C2×Q8—42no—
1569C2×Q8—816no—
1570C2×Q8C2×#4114yes—
1571C2×Q82−1+414yes—
1572C2×D4—24no—
1573C2×D4—24no—
1574C2×D4—24no—
1575C2×D4—24no—
1576C2×D4—22no—
1577C2×D4—22no—
1578C2×D4—24no—
1579C2×D4—41no—
1580C2×D4—41no—
1581C2×D4—41no—
1582C2×D4—41no—
1583C2×D4—42no—
1584C2×D4—41no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—41no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4C2×#4114yes—
1599C22×C4—24no—
1600C22×C4—24no—
1601C22×C4—24no—
1602C22×C4—24no—
1603C22×C4—24no—
1604C22×C4—24no—
1605C22×C4—24no—
1606C22×C4—24no—
1607C22×C4—24no—
1608C22×C4—24no—
1609C22×C4—24no—
1610C22×C4—24no—
1611C22×C4—24no—
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—42no—
1627C22×C4—42no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4—42no—
1631C22×C4—42no—
1632C22×C4—42no—
1633C22×C4—42no—
1634C22×C4—42no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—42no—
1638C22×C4C2512yes—
1639C22×C4C2512yes—
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2512yes—
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2512yes—
1651C22×C4C2512yes—
1652C22×C4C2511yescharacteristic
1653C22×C4C2512yes—
1654C22×C4C2512yes—
1655C22×C4C2512yes—
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C22×C4C2512yes—
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C22×C4C2511yescharacteristic
1662C22×C4C2511yescharacteristic
1663C22×C4C2511yescharacteristic
1664C22×C4C2512yes—
1665C22×C4C2511yescharacteristic
1666C22×C4C2512yes—
1667C22×C4C2512yes—
1668C22×C4C2511yescharacteristic
1669C22×C4C2511yescharacteristic
1670C4⋊C4—24no—
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—24no—
1674C4⋊C4—24no—
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—22no—
1685C4⋊C4—22no—
1686C4⋊C4—24no—
1687C4⋊C4—24no—
1688C4⋊C4—24no—
1689C4⋊C4—24no—
1690C4⋊C4—24no—
1691C4⋊C4—24no—
1692C4⋊C4—24no—
1693C4⋊C4—24no—
1694C4⋊C4—24no—
1695C4⋊C4—24no—
1696C4⋊C4—24no—
1697C4⋊C4—24no—
1698C4⋊C4—24no—
1699C4⋊C4—24no—
1700C4⋊C4—22no—
1701C4⋊C4—24no—
1702C4⋊C4—24no—
1703C4⋊C4—24no—
1704C4⋊C4—24no—
1705C4⋊C4—22no—
1706C4⋊C4—24no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—41no—
1712C4⋊C4—41no—
1713C4⋊C4—41no—
1714C4⋊C4—41no—
1715C4⋊C4—41no—
1716C4⋊C4—41no—
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—41no—
1730C4⋊C4—42no—
1731C4⋊C4—41no—
1732C4⋊C4—41no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—41no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—41no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
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—
1753C4⋊C4—41no—
1754C4⋊C4—41no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—41no—
1760C4⋊C4—41no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—41no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4H(5,𝔽2)14yes—
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—24no—
1782C22⋊C4—24no—
1783C22⋊C4—24no—
1784C22⋊C4—24no—
1785C22⋊C4—24no—
1786C22⋊C4—24no—
1787C22⋊C4—24no—
1788C22⋊C4—24no—
1789C22⋊C4—24no—
1790C22⋊C4—24no—
1791C22⋊C4—24no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4C2×#4118yes—
1834C22⋊C4C2×#4118yes—
1835C42—24no—
1836C42—24no—
1837C42—24no—
1838C42—24no—
1839C42—22no—
1840C42—24no—
1841C42—22no—
1842C42—24no—
1843C42—24no—
1844C42—22no—
1845C42—42no—
1846C42—42no—
1847C42—42no—
1848C42—42no—
1849C42—41no—
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—42no—
1864C42—42no—
1865C42—42no—
1866C42—42no—
1867C42—42no—
1868C42—42no—
1869C42—42no—
1870C42—42no—
1871C42—41no—
1872C42C2×#4114yes—
1873C23—22no—
1874C23—22no—
1875C23—22no—
1876C23—22no—
1877C23—22no—
1878C23—22no—
1879C23—22no—
1880C23—22no—
1881C23—22no—
1882C23—22no—
1883C23—22no—
1884C23—22no—
1885C23—22no—
1886C23—22no—
1887C23—22no—
1888C23—22no—
1889C23—22no—
1890C23—22no—
1891C23—22no—
1892C23—22no—
1893C23C22×#4114yes—
1894C23C2611yescharacteristic
1895Q8—44no—
1896Q8—44no—
1897Q8—48no—
1898Q8—48no—
1899Q8—82no—
1900Q8—82no—
1901Q8—84no—
1902Q8—84no—
1903Q8—84no—
1904D4—44no—
1905D4—44no—
1906D4—82no—
1907D4—84no—
1908D4—84no—
1909D4—84no—
1910D4—84no—
1911D4—84no—
1912D4—84no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—21no—
1916C2×C4—21no—
1917C2×C4—21no—
1918C2×C4—22no—
1919C2×C4—21no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—21no—
1923C2×C4—21no—
1924C2×C4—21no—
1925C2×C4—21no—
1926C2×C4—21no—
1927C2×C4—21no—
1928C2×C4—21no—
1929C2×C4—21no—
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—22no—
1941C2×C4—22no—
1942C2×C4—21no—
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—21no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—21no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—48no—
2001C2×C4—48no—
2002C2×C4—48no—
2003C2×C4—84no—
2004C2×C4—84no—
2005C2×C4—84no—
2006C2×C4—84no—
2007C2×C4—84no—
2008C2×C4—84no—
2009C2×C4—84no—
2010C2×C4—84no—
2011C2×C4—84no—
2012C2×C4—162no—
2013C2×C4C22×#4112yes—
2014C2×C4C22×#4112yes—
2015C2×C4C22×#4112yes—
2016C2×C4C22×#4114yes—
2017C2×C4C2×H(5,𝔽2)12yes—
2018C2×C4C2×H(5,𝔽2)14yes—
2019C2×C4C2×2−1+414yes—
2020C2×C4C2×2−1+412yes—
2021C2×C4#58512yes—
2022C22—24no—
2023C22—24no—
2024C22—24no—
2025C22—42no—
2026C22—42no—
2027C22—42no—
2028C22—42no—
2029C22—42no—
2030C22—42no—
2031C22—42no—
2032C22—42no—
2033C22—42no—
2034C22—42no—
2035C22—42no—
2036C22—42no—
2037C22—42no—
2038C22—42no—
2039C22—42no—
2040C22—42no—
2041C22—42no—
2042C22—42no—
2043C22C23×#4111yescharacteristic
2044C22C22×H(5,𝔽2)11yescharacteristic
2045C22C22×2−1+411yescharacteristic
2046C22C2×#58511yescharacteristic
2047C22H(7,𝔽2)11yescharacteristic
2048C222−1+611yescharacteristic
2049C222−1+611yescharacteristic
2050C4—24no—
2051C4—22no—
2052C4—24no—
2053C4—22no—
2054C4—22no—
2055C4—24no—
2056C4—22no—
2057C4—22no—
2058C4—22no—
2059C4—42no—
2060C4—42no—
2061C4—42no—
2062C4—42no—
2063C4—42no—
2064C4—42no—
2065C4—42no—
2066C4—42no—
2067C4—42no—
2068C4—42no—
2069C4—41no—
2070C4—42no—
2071C4—42no—
2072C4—42no—
2073C4—42no—
2074C4—42no—
2075C4—42no—
2076C4—42no—
2077C4—42no—
2078C4—42no—
2079C4—42no—
2080C4—42no—
2081C4—42no—
2082C2—44no—
2083C2—82no—
2084C2—82no—
2085C2#6286511yescharacteristic
2086C2#6286911yescharacteristic
2087C2#6288611yescharacteristic
2088C2#6298311yescharacteristic
2089C2#6299511yescharacteristic
2090C2#6300111yescharacteristic
2091C2#6303911yescharacteristic
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. #59991C2semidirect
2. #59928C2semidirect
3. #59878C2semidirect
4. #59877C2semidirect
5. #59704C2semidirect
6. #59661C2semidirect
7. #51801C2semidirect
8. #51627C2semidirect
9. #51541C2semidirect
10. #49657C2semidirect
11. #49257C2semidirect
12. #49244C2semidirect
13. #49025C2semidirect
14. #48408C2semidirect
15. #48393C2semidirect
16. #47668C2semidirect
17. #47616C2semidirect
18. #47612C2semidirect
19. #45249C2semidirect
20. #44849C2semidirect
21. #44765C2semidirect
22. #44406C2semidirect
23. #44400C2semidirect
24. #44247C2semidirect
25. #44233C2semidirect
26. #44073C2semidirect
27. #44070C2semidirect
28. #40317C2semidirect
29. #40197C2semidirect
30. #39761C2semidirect
31. #39753C2semidirect
32. #39360C2semidirect
33. #38087C2semidirect
34. #34522C2semidirect
35. #34412C2semidirect

Maximal subgroups

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

subgroupindex
#599912
#599282
#598782
#598772
#597042
#596612
#518012
#516272
#515412
#496572
#492572
#492442
#490252
#484082
#483932
#476682
#476162
#476122
#452492
#448492
#447652
#444062
#444002
#442472
#442332
#440732
#440702
#403172
#401972
#397612
#397532
#393602
#380872
#345222
#344122