Finite Group Databasebeta

← #7893243

Subgroups — #7893243

Order 512.

4205 conjugacy classes of subgroups.

The subgroup lattice has 2107 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59985C212yesmaximal, complemented
2#59877C211yesmaximal, characteristic, complemented
3#52272C211yesmaximal, characteristic, complemented
4#50241C212yesmaximal, complemented
5#50052C212yesmaximal, complemented
6#49621C212yesmaximal, complemented
7#49276C212yesmaximal, complemented
8#48870C212yesmaximal, complemented
9#48033C212yesmaximal
10#47412C212yesmaximal, complemented
11#47222C212yesmaximal, complemented
12#46200C211yesmaximal, characteristic, complemented
13#45809C211yesmaximal, characteristic, complemented
14#45288C212yesmaximal, complemented
15#44710C212yesmaximal, complemented
16#44694C212yesmaximal, complemented
17#44684C212yesmaximal, complemented
18#43416C212yesmaximal, complemented
19#41926C212yesmaximal, complemented
20#41720C212yesmaximal, complemented
21#41417C212yesmaximal, complemented
22#40968C212yesmaximal, complemented
23#39701C211yesmaximal, characteristic, complemented
24#39583C211yesmaximal, characteristic, complemented
25#39487C211yesmaximal, characteristic, complemented
26#38799C212yesmaximal, complemented
27#38782C211yesmaximal, characteristic, complemented
28#38467C211yesmaximal, characteristic, complemented
29#38457C212yesmaximal, complemented
30#38455C211yesmaximal, characteristic, complemented
31#38263C212yesmaximal, complemented
32#37168C211yesmaximal, characteristic, complemented
33#37135C211yesmaximal, characteristic, complemented
34#36392C211yesmaximal, characteristic
35#36025C212yesmaximal, complemented
36#35502C212yesmaximal, complemented
37#35110C211yesmaximal, characteristic, complemented
38#34507C212yesmaximal, complemented
39#34332C211yesmaximal, characteristic, complemented
40C2×#554C2211yescharacteristic
41C2×#552C2212yes—
42#2863C2211yescharacteristic
43#2859C2212yes—
44#2857C2211yescharacteristic
45#2855C2211yescharacteristic
46#2855C2211yescharacteristic
47#2855C2211yescharacteristic
48#2851C2211yescharacteristic
49#2851C2211yescharacteristic
50#2839C2212yes—
51#2831C2212yes—
52#2817C2212yes—
53#2814C2212yes—
54#2810C2211yescharacteristic
55#2809C2212yes—
56#2808C2211yescharacteristic
57#2808C2211yescharacteristic
58#2806C2211yescharacteristic
59#2806C2211yescharacteristic
60#2806C2211yescharacteristic
61#2805C2211yescharacteristic
62#2805C2211yescharacteristic
63#2805C2211yescharacteristic
64#2802C2212yes—
65#2800C2212yes—
66#2800C2212yes—
67#2798C2212yes—
68#2794C2212yes—
69#2793C2212yes—
70#2793C2212yes—
71#2793C2212yes—
72#2792C2212yes—
73#2792C2212yes—
74#2791C2212yes—
75#2791C2212yes—
76#2791C2212yes—
77#2790C2212yes—
78#2790C2212yes—
79#2789C2212yes—
80#2787C2212yes—
81#2787C2212yes—
82#2787C2212yes—
83#2786C2212yes—
84#2783C2212yes—
85#2782C2212yes—
86#2781C2212yes—
87#2777C2212yes—
88#2776C2212yes—
89#2776C2212yes—
90#2774C2212yes—
91#2774C2212yes—
92#2774C2212yes—
93#2772C2212yes—
94#2770C2212yes—
95#2767C2212yes—
96#2766C2212yes—
97#2765C2212yes—
98#2764C2212yes—
99#2762C2212yes—
100#2759C2212yes—
101#2758C2212yes—
102#2758C2212yes—
103#2757C2212yes—
104#2755C2212yes—
105#2747C2212yes—
106#2747C2212yes—
107#2747C2212yes—
108#2739C2212yes—
109#2739C2212yes—
110#2738C2212yes—
111#2738C2212yes—
112#2734C2211yescharacteristic
113#2728C2212yes—
114#2727C2211yescharacteristic
115#2727C2211yescharacteristic
116#2726C2211yescharacteristic
117#2726C2211yescharacteristic
118#2726C2211yescharacteristic
119#2726C2211yescharacteristic
120#2726C2212yes—
121#2725C2212yes—
122#2725C2212yes—
123#2723C2212yes—
124#2720C2212yes—
125#2720C2212yes—
126#2720C2212yes—
127#2719C2212yes—
128#2719C2212yes—
129#2719C2212yes—
130#2719C2212yes—
131#2718C2212yes—
132#2717C2212yes—
133#2716C2212yes—
134#2715C2212yes—
135#2715C2212yes—
136#2713C2212yes—
137#2713C2212yes—
138#2713C2212yes—
139#2711C2212yes—
140#2704C2212yes—
141#2692C2212yes—
142#2690C2212yes—
143#2690C2212yes—
144#2690C2212yes—
145#2690C2212yes—
146#2689C2212yes—
147#2687C2212yes—
148#2667C2212yes—
149#2666C2212yes—
150#2666C2212yes—
151#2663C2212yes—
152#2655C2212yes—
153#2654C2212yes—
154#2652C2212yes—
155#2651C2212yes—
156#2650C2212yes—
157#2645C2212yes—
158#2638C2212yes—
159#2638C2212yes—
160#2634C2212yes—
161#2630C2212yes—
162#2627C2212yes—
163#2625C2212yes—
164#2618C2212yes—
165#2612C2212yes—
166#2612C2212yes—
167#2612C2212yes—
168#2611C2212yes—
169#2608C2212yes—
170#2606C2212yes—
171#2606C2212yes—
172#2606C2212yes—
173#2605C2212yes—
174#2604C2212yes—
175#2602C2212yes—
176#2602C2212yes—
177#2600C2212yes—
178#2598C2212yes—
179#2596C2212yes—
180#2596C2212yes—
181#2596C2212yes—
182#2594C2212yes—
183#2594C2212yes—
184#2594C2212yes—
185#2593C2212yes—
186#2590C2212yes—
187#2590C2212yes—
188#2589C2212yes—
189#2588C2212yes—
190#2588C2212yes—
191#2587C2212yes—
192#2587C2212yes—
193#2586C2212yes—
194#2586C2212yes—
195#2585C2212yes—
196#2578C2212yes—
197#2578C2212yes—
198#2578C2212yes—
199#2578C2212yes—
200#2577C2212yes—
201#2577C2212yes—
202#2576C2212yes—
203#2576C2212yes—
204#2575C2212yes—
205#2574C2212yes—
206#2573C2212yes—
207#2570C2212yes—
208#2569C2212yes—
209#2569C2212yes—
210#2565C2211yescharacteristic
211#2562C2211yescharacteristic
212#2560C2212yes—
213#2558C2212yes—
214#2556C2212yes—
215#2556C2212yes—
216#2553C2212yes—
217#2550C2212yes—
218#2550C2211yescharacteristic
219#2549C2212yes—
220#2549C2212yes—
221#2536C2211yescharacteristic
222#2533C2212yes—
223#2533C2212yes—
224#2533C2212yes—
225#2533C2212yes—
226#2531C2212yes—
227#2531C2212yes—
228#2530C2212yes—
229#2530C2212yes—
230#2530C2212yes—
231#2530C2212yes—
232#2528C2212yes—
233#2528C2212yes—
234#2528C2212yes—
235#2528C2212yes—
236#2528C2212yes—
237#2527C2212yes—
238#2527C2212yes—
239#2527C2212yes—
240#2527C2212yes—
241#2524C2212yes—
242#2522C2212yes—
243#2521C2212yes—
244#2520C2212yes—
245#2520C2212yes—
246#2520C2212yes—
247#2520C2212yes—
248#2520C2212yes—
249#2519C2212yes—
250#2519C2212yes—
251#2517C2212yes—
252#2515C2212yes—
253#2515C2212yes—
254#2514C2211yescharacteristic
255#2514C2212yes—
256#2511C2212yes—
257#2509C2212yes—
258#2508C2212yes—
259#2507C2212yes—
260#2507C2212yes—
261#2506C2212yes—
262#2505C2212yes—
263#2505C2212yes—
264#2499C2212yes—
265#2498C2212yes—
266#2498C2212yes—
267#2498C2212yes—
268#2496C2211yescharacteristic
269#2496C2212yes—
270#2494C2211yescharacteristic
271#2494C2212yes—
272#2492C2211yescharacteristic
273#2489C2211yescharacteristic
274#2489C2211yescharacteristic
275#2489C2212yes—
276#2488C2212yes—
277#2485C2211yescharacteristic
278#2485C2212yes—
279#2485C2212yes—
280#2481C2212yes—
281#2478C2212yes—
282#2478C2212yes—
283#2478C2212yes—
284#2477C2212yes—
285#2475C2212yes—
286#2473C2212yes—
287#2473C2212yes—
288#2473C2212yes—
289#2469C2212yes—
290#2468C2212yes—
291#2468C2212yes—
292#2468C2212yes—
293#2465C2212yes—
294#2465C2212yes—
295#2462C2212yes—
296#2462C2212yes—
297#2462C2212yes—
298#2462C2212yes—
299#2461C2212yes—
300#2460C2212yes—
301#2454C2211yescharacteristic
302#2453C2212yes—
303#2451C2212yes—
304#2442C2212yes—
305#2442C2212yes—
306#2441C2212yes—
307#2440C2212yes—
308#2432C2212yes—
309#2429C2212yes—
310#2420C2211yescharacteristic
311#2417C2212yes—
312#2415C2212yes—
313#2413C2212yes—
314#2407C2211yescharacteristic
315#2406C2212yes—
316#2402C2212yes—
317#2401C2212yes—
318#2398C2212yes—
319#2396C2212yes—
320#2395C2212yes—
321#2382C2212yes—
322#2378C2212yes—
323#2378C2212yes—
324#2376C2212yes—
325#2374C2212yes—
326#2373C2212yes—
327#2373C2212yes—
328#2373C2212yes—
329#2372C2212yes—
330#2371C2212yes—
331#2371C2212yes—
332#2370C2212yes—
333#2370C2212yes—
334#2370C2212yes—
335#2369C2211yescharacteristic
336#2360C2212yes—
337#2360C2212yes—
338#2360C2211yescharacteristic
339#2360C2211yescharacteristic
340#2356C2212yes—
341#2356C2212yes—
342#2353C2212yes—
343Q8×C4⋊C4C2211yescharacteristic
344D4×C4⋊C4C2212yes—
345D4×C4⋊C4C2211yescharacteristic
346#2347C2212yes—
347#2346C2211yescharacteristic
348#2346C2212yes—
349#2346C2212yes—
350#2345C2211yescharacteristic
351#2345C2211yescharacteristic
352#2344C2212yes—
353#2343C2212yes—
354#2343C2212yes—
355#2339C2211yescharacteristic
356#2336C2212yes—
357#2336C2212yes—
358#2336C2212yes—
359#2335C2212yes—
360#2335C2212yes—
361#2335C2212yes—
362#2334C2212yes—
363#2334C2212yes—
364#2332C2212yes—
365#2331C2212yes—
366#2330C2212yes—
367#2330C2212yes—
368#2329C2212yes—
369#2329C2212yes—
370#2329C2212yes—
371#2319C2212yes—
372#2316C2212yes—
373#2314C2212yes—
374#2314C2212yes—
375#2313C2212yes—
376C4×C4⋊Q8C2211yescharacteristic
377C4×#125C2211yescharacteristic
378C4×#126C2212yes—
379C4×C22⋊Q8C2211yescharacteristic
380C4×C22⋊Q8C2211yescharacteristic
381C4×#121C2211yescharacteristic
382#2298C2212yes—
383#2298C2212yes—
384#2298C2212yes—
385#2297C2211yescharacteristic
386#2295C2211yescharacteristic
387#2295C2211yescharacteristic
388#2295C2212yes—
389#2295C2212yes—
390#2293C2211yescharacteristic
391C2×#389C2211yescharacteristic
392C2×#389C2211yescharacteristic
393#2275C2212yes—
394C42×D4C2211yescharacteristic
395C22×#41C2311yescharacteristic
396#554—28no—
397#552—216no—
398C2×C4⋊Q8C2311yescharacteristic
399C2×C4⋊Q8C2312yes—
400C2×C4⋊Q8C2311yescharacteristic
401C2×#126C2312yes—
402C2×#126C2312yes—
403C2×#126C2312yes—
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#125C2311yescharacteristic
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#125C2312yes—
413C2×#125C2311yescharacteristic
414C2×#125C2311yescharacteristic
415C2×#125C2312yes—
416C2×#125C2312yes—
417C2×#125C2312yes—
418C2×#124C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2311yescharacteristic
429C2×C22⋊Q8C2311yescharacteristic
430C2×C22⋊Q8C2311yescharacteristic
431C2×C22⋊Q8C2311yescharacteristic
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×#121C2311yescharacteristic
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2311yescharacteristic
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2312yes—
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2312yes—
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2312yes—
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2311yescharacteristic
450C2×#117C2312yes—
451C2×#117C2312yes—
452C2×#117C2312yes—
453C2×#117C2312yes—
454C2×#117C2311yescharacteristic
455C2×#117C2312yes—
456C22×C4⋊C4C2311yescharacteristic
457C22×C4⋊C4C2312yes—
458C22×C4⋊C4C2312yes—
459C22×C4⋊C4C2311yescharacteristic
460C22×C4⋊C4C2311yescharacteristic
461C22×C4⋊C4C2311yescharacteristic
462C22×C42C2311yescharacteristic
463C22×C42C2311yescharacteristic
464#401C2312yes—
465#401C2312yes—
466#401C2312yes—
467#401C2312yes—
468#401C2312yes—
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#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
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#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#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#395C2312yes—
617#395C2312yes—
618#395C2312yes—
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#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#393C2312yes—
647#393C2312yes—
648#393C2312yes—
649#393C2312yes—
650#393C2312yes—
651#392C2312yes—
652#391C2312yes—
653#391C2312yes—
654#391C2311yescharacteristic
655#391C2311yescharacteristic
656#391C2311yescharacteristic
657#391C2312yes—
658#391C2312yes—
659#391C2312yes—
660#391C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2312yes—
665#391C2311yescharacteristic
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2311yescharacteristic
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2311yescharacteristic
674#391C2311yescharacteristic
675#391C2311yescharacteristic
676#391C2311yescharacteristic
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2311yescharacteristic
683#391C2311yescharacteristic
684#390C2312yes—
685#390C2312yes—
686#390C2312yes—
687#390C2311yescharacteristic
688#390C2311yescharacteristic
689#390C2311yescharacteristic
690#389C2311yescharacteristic
691#389C2311yescharacteristic
692#389C2312yes—
693#389C2311yescharacteristic
694#389C2311yescharacteristic
695#389C2312yes—
696#389C2312yes—
697#389C2312yes—
698#389C2312yes—
699#389C2312yes—
700#389C2312yes—
701#389C2312yes—
702#389C2312yes—
703#389C2312yes—
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2311yescharacteristic
708#389C2312yes—
709#389C2312yes—
710#389C2312yes—
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2312yes—
715#389C2312yes—
716#389C2311yescharacteristic
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2311yescharacteristic
728#389C2312yes—
729#389C2312yes—
730#389C2311yescharacteristic
731#389C2311yescharacteristic
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2311yescharacteristic
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2311yescharacteristic
742#389C2311yescharacteristic
743#389C2311yescharacteristic
744#389C2312yes—
745#389C2312yes—
746#389C2311yescharacteristic
747#389C2312yes—
748#389C2311yescharacteristic
749#389C2311yescharacteristic
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2311yescharacteristic
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2311yescharacteristic
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2311yescharacteristic
765#389C2311yescharacteristic
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#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#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#384C2311yescharacteristic
997#384C2311yescharacteristic
998#384C2312yes—
999#384C2312yes—
1000#384C2312yes—
1001#384C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#383C2312yes—
1005#383C2312yes—
1006#383C2312yes—
1007#383C2312yes—
1008#383C2312yes—
1009#383C2312yes—
1010#382C2311yescharacteristic
1011#382C2311yescharacteristic
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2311yescharacteristic
1022#382C2312yes—
1023#382C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#380C2311yescharacteristic
1032#380C2311yescharacteristic
1033#380C2311yescharacteristic
1034#380C2311yescharacteristic
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2311yescharacteristic
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2311yescharacteristic
1049#380C2312yes—
1050#380C2311yescharacteristic
1051#380C2311yescharacteristic
1052#380C2311yescharacteristic
1053#380C2311yescharacteristic
1054#380C2312yes—
1055#380C2311yescharacteristic
1056#380C2311yescharacteristic
1057#380C2312yes—
1058C4×C4⋊C4C2311yescharacteristic
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2311yescharacteristic
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2311yescharacteristic
1066C4×C4⋊C4C2311yescharacteristic
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2311yescharacteristic
1069C4×C4⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2311yescharacteristic
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2311yescharacteristic
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2311yescharacteristic
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2311yescharacteristic
1099C4×C4⋊C4C2311yescharacteristic
1100C4×C4⋊C4C2311yescharacteristic
1101C4×C4⋊C4C2312yes—
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2312yes—
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2311yescharacteristic
1111C4×C22⋊C4C2311yescharacteristic
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2311yescharacteristic
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2311yescharacteristic
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2311yescharacteristic
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2311yescharacteristic
1128C4×C22⋊C4C2312yes—
1129#376C2312yes—
1130#376C2312yes—
1131#376C2312yes—
1132#376C2312yes—
1133#376C2312yes—
1134#376C2312yes—
1135#376C2312yes—
1136#376C2312yes—
1137#376C2312yes—
1138#376C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C43C2312yes—
1143C43C2311yescharacteristic
1144C2×#41—42no—
1145C2×#41—42no—
1146C2×#41—81no—
1147C22×Q8C2411yescharacteristic
1148C22×Q8C2412yes—
1149C22×Q8C2412yes—
1150C22×Q8C2411yescharacteristic
1151C22×Q8C2411yescharacteristic
1152C22×Q8C2412yes—
1153C22×D4C2411yescharacteristic
1154C22×D4C2411yescharacteristic
1155C22×D4C2412yes—
1156C22×D4C2412yes—
1157C23×C4C2411yescharacteristic
1158C23×C4C2412yes—
1159C23×C4C2411yescharacteristic
1160C23×C4C2412yes—
1161C23×C4C2411yescharacteristic
1162C23×C4C2412yes—
1163C23×C4C2412yes—
1164C23×C4C2411yescharacteristic
1165C23×C4C2411yescharacteristic
1166C23×C4C2412yes—
1167C23×C4C2412yes—
1168C23×C4C2412yes—
1169C23×C4C2411yescharacteristic
1170C4⋊Q8—24no—
1171C4⋊Q8—44no—
1172C4⋊Q8—81no—
1173#126—28no—
1174#126—28no—
1175#126—44no—
1176#126—44no—
1177#126—82no—
1178#125—28no—
1179#125—28no—
1180#125—28no—
1181#125—28no—
1182#125—24no—
1183#125—44no—
1184#125—44no—
1185#125—81no—
1186#125—81no—
1187#125—82no—
1188#125—82no—
1189#125—82no—
1190#124—44no—
1191#123—28no—
1192#123—28no—
1193#123—44no—
1194#123—82no—
1195C22⋊Q8—28no—
1196C22⋊Q8—28no—
1197C22⋊Q8—24no—
1198C22⋊Q8—28no—
1199C22⋊Q8—28no—
1200C22⋊Q8—24no—
1201C22⋊Q8—82no—
1202C22⋊Q8—81no—
1203C22⋊Q8—81no—
1204C22⋊Q8—82no—
1205C22⋊Q8—82no—
1206C22⋊Q8—81no—
1207#121—42no—
1208C4×Q8—28no—
1209C4×Q8—24no—
1210C4×Q8—24no—
1211C4×Q8—44no—
1212C4×Q8—81no—
1213C4×Q8—81no—
1214C4×D4—28no—
1215C4×D4—28no—
1216C4×D4—24no—
1217C4×D4—24no—
1218C4×D4—42no—
1219C4×D4—44no—
1220C4×D4—42no—
1221C4×D4—81no—
1222#117—28no—
1223#117—28no—
1224#117—28no—
1225#117—28no—
1226#117—42no—
1227#117—44no—
1228C2×C4⋊C4—24no—
1229C2×C4⋊C4—44no—
1230C2×C4⋊C4—44no—
1231C2×C4⋊C4—81no—
1232C2×C4⋊C4—81no—
1233C2×C4⋊C4#4118yescomplemented
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⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2411yescharacteristic
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2411yescharacteristic
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2411yescharacteristic
1256C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1266C2×C4⋊C4C2411yescharacteristic
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2411yescharacteristic
1269C2×C4⋊C4C2411yescharacteristic
1270C2×C4⋊C4C2411yescharacteristic
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2411yescharacteristic
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2411yescharacteristic
1289C2×C4⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2411yescharacteristic
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2411yescharacteristic
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2411yescharacteristic
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2411yescharacteristic
1360C2×C22⋊C4C2411yescharacteristic
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2411yescharacteristic
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—81no—
1393C2×C42—81no—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2411yescharacteristic
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2411yescharacteristic
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2411yescharacteristic
1408C2×C42C2412yes—
1409C2×C42C2411yescharacteristic
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2411yescharacteristic
1415C2×C42C2411yescharacteristic
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2411yescharacteristic
1421C2×C42C2411yescharacteristic
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2411yescharacteristic
1426C2×C42C2412yes—
1427C2×C42C2411yescharacteristic
1428C2×C42C2411yescharacteristic
1429C2×C42C2412yes—
1430C2×C42C2411yescharacteristic
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2411yescharacteristic
1438#95C2411yescharacteristic
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#95C2411yescharacteristic
1484#95C2411yescharacteristic
1485#95C2411yescharacteristic
1486#95C2411yescharacteristic
1487#95C2412yes—
1488#95C2411yescharacteristic
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—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568C24C2512yes—
1569C24C2511yescharacteristic
1570C24C2511yescharacteristic
1571#41—88no—
1572C2×Q8—22no—
1573C2×Q8—24no—
1574C2×Q8—24no—
1575C2×Q8—22no—
1576C2×Q8—22no—
1577C2×Q8—41no—
1578C2×Q8—41no—
1579C2×Q8—42no—
1580C2×Q8—41no—
1581C2×Q8—42no—
1582C2×Q8—41no—
1583C2×Q8—42no—
1584C2×Q8—41no—
1585C2×Q8—42no—
1586C2×Q8—41no—
1587C2×Q8—42no—
1588C2×Q8—42no—
1589C2×Q8—42no—
1590C2×D4—22no—
1591C2×D4—22no—
1592C2×D4—24no—
1593C2×D4—24no—
1594C2×D4—22no—
1595C2×D4—22no—
1596C2×D4—41no—
1597C2×D4—41no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C22×C4—22no—
1603C22×C4—24no—
1604C22×C4—22no—
1605C22×C4—22no—
1606C22×C4—24no—
1607C22×C4—24no—
1608C22×C4—24no—
1609C22×C4—22no—
1610C22×C4—22no—
1611C22×C4—22no—
1612C22×C4—41no—
1613C22×C4—41no—
1614C22×C4—41no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—41no—
1618C22×C4—41no—
1619C22×C4—41no—
1620C22×C4—41no—
1621C22×C4—41no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—42no—
1625C22×C4—42no—
1626C22×C4—41no—
1627C22×C4—42no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4—42no—
1631C22×C4—41no—
1632C22×C4—41no—
1633C22×C4—42no—
1634C22×C4—42no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—42no—
1638C22×C4—42no—
1639C22×C4C2×#4118yes—
1640C22×C4C2×#4114yes—
1641C22×C4C2512yes—
1642C22×C4C2511yescharacteristic
1643C22×C4C2511yescharacteristic
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2511yescharacteristic
1647C22×C4C2512yes—
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2512yes—
1651C22×C4C2511yescharacteristic
1652C22×C4C2511yescharacteristic
1653C22×C4C2512yes—
1654C22×C4C2512yes—
1655C22×C4C2512yes—
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C22×C4C2512yes—
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2511yescharacteristic
1664C22×C4C2512yes—
1665C22×C4C2512yes—
1666C22×C4C2512yes—
1667C22×C4C2512yes—
1668C22×C4C2511yescharacteristic
1669C22×C4C2511yescharacteristic
1670C22×C4C2512yes—
1671C22×C4C2512yes—
1672C22×C4C2511yescharacteristic
1673C22×C4C2511yescharacteristic
1674C22×C4C2511yescharacteristic
1675C22×C4C2511yescharacteristic
1676C22×C4C2511yescharacteristic
1677C4⋊C4—24no—
1678C4⋊C4—22no—
1679C4⋊C4—24no—
1680C4⋊C4—24no—
1681C4⋊C4—24no—
1682C4⋊C4—24no—
1683C4⋊C4—24no—
1684C4⋊C4—22no—
1685C4⋊C4—24no—
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—22no—
1699C4⋊C4—22no—
1700C4⋊C4—24no—
1701C4⋊C4—24no—
1702C4⋊C4—24no—
1703C4⋊C4—22no—
1704C4⋊C4—22no—
1705C4⋊C4—24no—
1706C4⋊C4—24no—
1707C4⋊C4—24no—
1708C4⋊C4—22no—
1709C4⋊C4—22no—
1710C4⋊C4—24no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—41no—
1716C4⋊C4—41no—
1717C4⋊C4—41no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—41no—
1724C4⋊C4—41no—
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—41no—
1736C4⋊C4—41no—
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—41no—
1747C4⋊C4—41no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—41no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—41no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4C2×#4114yes—
1784C4⋊C4C2×#4118yes—
1785C4⋊C4C2×#4114yes—
1786C22⋊C4—24no—
1787C22⋊C4—24no—
1788C22⋊C4—24no—
1789C22⋊C4—24no—
1790C22⋊C4—22no—
1791C22⋊C4—24no—
1792C22⋊C4—24no—
1793C22⋊C4—24no—
1794C22⋊C4—22no—
1795C22⋊C4—24no—
1796C22⋊C4—24no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—22no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—24no—
1803C22⋊C4—24no—
1804C22⋊C4—24no—
1805C22⋊C4—22no—
1806C22⋊C4—22no—
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—41no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C42—24no—
1836C42—24no—
1837C42—24no—
1838C42—24no—
1839C42—24no—
1840C42—24no—
1841C42—22no—
1842C42—24no—
1843C42—24no—
1844C42—22no—
1845C42—41no—
1846C42—41no—
1847C42—41no—
1848C42—41no—
1849C42—41no—
1850C42—41no—
1851C42—41no—
1852C42—41no—
1853C42—42no—
1854C42—42no—
1855C42—42no—
1856C42—42no—
1857C42—41no—
1858C42—42no—
1859C42—42no—
1860C42—42no—
1861C42—42no—
1862C42—42no—
1863C42—42no—
1864C42—42no—
1865C42—41no—
1866C42—42no—
1867C42—42no—
1868C42—42no—
1869C42—42no—
1870C42—42no—
1871C42—42no—
1872C42—42no—
1873C42—42no—
1874C42—42no—
1875C42—42no—
1876C42—42no—
1877C42—42no—
1878C422−1+414yes—
1879C23—21no—
1880C23—21no—
1881C23—21no—
1882C23—21no—
1883C23—21no—
1884C23—21no—
1885C23—21no—
1886C23—21no—
1887C23—21no—
1888C23—21no—
1889C23—21no—
1890C23—21no—
1891C23—22no—
1892C23—22no—
1893C23—22no—
1894C23—22no—
1895C23—22no—
1896C23—22no—
1897C23—22no—
1898C23C22×#4112yes—
1899C23#58512yes—
1900C23C2611yescharacteristic
1901Q8—44no—
1902Q8—84no—
1903Q8—84no—
1904Q8—82no—
1905Q8—82no—
1906Q8—162no—
1907D4—28no—
1908D4—44no—
1909D4—84no—
1910D4—84no—
1911C2×C4—21no—
1912C2×C4—21no—
1913C2×C4—21no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—21no—
1917C2×C4—21no—
1918C2×C4—21no—
1919C2×C4—21no—
1920C2×C4—21no—
1921C2×C4—21no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—21no—
1925C2×C4—21no—
1926C2×C4—21no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—21no—
1935C2×C4—22no—
1936C2×C4—21no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—21no—
1943C2×C4—21no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—21no—
1948C2×C4—22no—
1949C2×C4—21no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—21no—
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—21no—
1970C2×C4—21no—
1971C2×C4—22no—
1972C2×C4—21no—
1973C2×C4—21no—
1974C2×C4—21no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—21no—
1978C2×C4—21no—
1979C2×C4—21no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—21no—
1991C2×C4—21no—
1992C2×C4—22no—
1993C2×C4—21no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—21no—
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—21no—
2007C2×C4—22no—
2008C2×C4—21no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—48no—
2012C2×C4—44no—
2013C2×C4—44no—
2014C2×C4—44no—
2015C2×C4—84no—
2016C2×C4—84no—
2017C2×C4—82no—
2018C2×C4—82no—
2019C2×C4—82no—
2020C2×C4—84no—
2021C2×C4—84no—
2022C2×C4—84no—
2023C2×C4—162no—
2024C2×C4C22×#4114yes—
2025C2×C4C22×#4114yes—
2026C2×C4C22×#4112yes—
2027C2×C4C22×#4112yes—
2028C2×C4C2×2−1+412yes—
2029C2×C4C2×2−1+412yes—
2030C2×C4C2×2−1+412yes—
2031C2×C4#58512yes—
2032C22—22no—
2033C22—22no—
2034C22—22no—
2035C22—22no—
2036C22—22no—
2037C22—22no—
2038C22—41no—
2039C22—41no—
2040C22—41no—
2041C22—41no—
2042C22—41no—
2043C22—41no—
2044C22—41no—
2045C22—41no—
2046C22—42no—
2047C22—42no—
2048C22—42no—
2049C22—42no—
2050C22—42no—
2051C22—42no—
2052C22—42no—
2053C22C23×#4111yescharacteristic
2054C22C22×2−1+411yescharacteristic
2055C22C2×#58511yescharacteristic
2056C22C2×#58511yescharacteristic
2057C22H(7,𝔽2)11yescharacteristic
2058C222−1+611yescharacteristic
2059C222−1+611yescharacteristic
2060C4—24no—
2061C4—24no—
2062C4—22no—
2063C4—22no—
2064C4—22no—
2065C4—22no—
2066C4—22no—
2067C4—22no—
2068C4—42no—
2069C4—42no—
2070C4—41no—
2071C4—42no—
2072C4—42no—
2073C4—42no—
2074C4—42no—
2075C4—41no—
2076C4—42no—
2077C4—42no—
2078C4—41no—
2079C4—42no—
2080C4—42no—
2081C4—42no—
2082C4—42no—
2083C4—42no—
2084C4—41no—
2085C4—41no—
2086C4—42no—
2087C4—41no—
2088C4—42no—
2089C4—41no—
2090C4—42no—
2091C4—42no—
2092C4—42no—
2093C4—42no—
2094C4—42no—
2095C4—42no—
2096C2—42no—
2097C2—42no—
2098C2—82no—
2099C2#6278811yescharacteristic
2100C2#6285611yescharacteristic
2101C2#6287911yescharacteristic
2102C2#6290611yescharacteristic
2103C2#6295911yescharacteristic
2104C2#6299111yescharacteristic
2105C2#6306811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2407C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59985C2semidirect
2. #59877C2semidirect
3. #52272C2semidirect
4. #50241C2semidirect
5. #50052C2semidirect
6. #49621C2semidirect
7. #49276C2semidirect
8. #48870C2semidirect
10. #47412C2semidirect
11. #47222C2semidirect
12. #46200C2semidirect
13. #45809C2semidirect
14. #45288C2semidirect
15. #44710C2semidirect
16. #44694C2semidirect
17. #44684C2semidirect
18. #43416C2semidirect
19. #41926C2semidirect
20. #41720C2semidirect
21. #41417C2semidirect
22. #40968C2semidirect
23. #39701C2semidirect
24. #39583C2semidirect
25. #39487C2semidirect
26. #38799C2semidirect
27. #38782C2semidirect
28. #38467C2semidirect
29. #38457C2semidirect
30. #38455C2semidirect
31. #38263C2semidirect
32. #37168C2semidirect
33. #37135C2semidirect
35. #36025C2semidirect
36. #35502C2semidirect
37. #35110C2semidirect
38. #34507C2semidirect
39. #34332C2semidirect
1233. C2×C4⋊C4#41semidirect

Maximal subgroups

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

subgroupindex
#599852
#598772
#522722
#502412
#500522
#496212
#492762
#488702
#480332
#474122
#472222
#462002
#458092
#452882
#447102
#446942
#446842
#434162
#419262
#417202
#414172
#409682
#397012
#395832
#394872
#387992
#387822
#384672
#384572
#384552
#382632
#371682
#371352
#363922
#360252
#355022
#351102
#345072
#343322