Finite Group Databasebeta

← #7697420

Subgroups — #7697420

Order 512.

4706 conjugacy classes of subgroups.

The subgroup lattice has 2206 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60044C211yesmaximal, characteristic, complemented
2#59974C212yesmaximal, complemented
3#59835C211yesmaximal, characteristic, complemented
4#59830C211yesmaximal, characteristic, complemented
5#59569C212yesmaximal, complemented
6#59559C212yesmaximal, complemented
7#52288C211yesmaximal, characteristic, complemented
8#52278C211yesmaximal, characteristic, complemented
9#52267C211yesmaximal, characteristic, complemented
10#44837C212yesmaximal, complemented
11#44751C212yesmaximal, complemented
12#44197C212yesmaximal, complemented
13#44190C212yesmaximal, complemented
14#44176C212yesmaximal, complemented
15#43775C212yesmaximal, complemented
16#43731C212yesmaximal, complemented
17#43348C212yesmaximal, complemented
18#43119C212yesmaximal, complemented
19#39709C211yesmaximal, characteristic, complemented
20#39703C211yesmaximal, characteristic, complemented
21#39215C212yesmaximal, complemented
22#39209C212yesmaximal, complemented
23#38783C211yesmaximal, characteristic, complemented
24#38782C211yesmaximal, characteristic, complemented
25#38646C212yesmaximal, complemented
26#38637C212yesmaximal, complemented
27#38551C212yesmaximal, complemented
28#38550C212yesmaximal, complemented
29#38473C211yesmaximal, characteristic, complemented
30#38467C211yesmaximal, characteristic, complemented
31#36392C211yesmaximal, characteristic, complemented
32#36328C212yesmaximal, complemented
33#36071C212yesmaximal, complemented
34#35946C212yesmaximal, complemented
35#35943C212yesmaximal, complemented
36#34316C211yesmaximal, characteristic, complemented
37#34314C211yesmaximal, characteristic, complemented
38#34304C212yesmaximal, complemented
39#34299C212yesmaximal, complemented
40C2×#554C2212yes—
41C2×#552C2212yes—
42C2×#552C2211yescharacteristic
43C2×#547C2211yescharacteristic
44#2863C2211yescharacteristic
45#2855C2211yescharacteristic
46#2853C2212yes—
47#2852C2212yes—
48#2851C2211yescharacteristic
49#2850C2212yes—
50#2808C2211yescharacteristic
51#2808C2211yescharacteristic
52#2807C2212yes—
53#2806C2211yescharacteristic
54#2806C2211yescharacteristic
55#2806C2211yescharacteristic
56#2806C2211yescharacteristic
57#2805C2211yescharacteristic
58#2805C2211yescharacteristic
59#2804C2211yescharacteristic
60#2802C2212yes—
61#2800C2212yes—
62#2800C2212yes—
63#2799C2212yes—
64#2798C2212yes—
65#2798C2212yes—
66#2797C2212yes—
67#2797C2212yes—
68#2791C2212yes—
69#2790C2212yes—
70#2789C2212yes—
71#2788C2212yes—
72#2787C2212yes—
73#2787C2212yes—
74#2780C2212yes—
75#2780C2212yes—
76#2780C2212yes—
77#2780C2212yes—
78#2779C2212yes—
79#2778C2212yes—
80#2777C2212yes—
81#2776C2212yes—
82#2775C2212yes—
83#2774C2212yes—
84#2771C2212yes—
85#2768C2212yes—
86#2766C2212yes—
87#2758C2212yes—
88#2757C2212yes—
89#2749C2212yes—
90#2748C2212yes—
91#2748C2212yes—
92#2746C2212yes—
93#2745C2212yes—
94#2734C2212yes—
95#2734C2211yescharacteristic
96#2732C2211yescharacteristic
97#2729C2212yes—
98#2727C2211yescharacteristic
99#2726C2211yescharacteristic
100#2726C2211yescharacteristic
101#2725C2212yes—
102#2723C2212yes—
103#2720C2212yes—
104#2720C2212yes—
105#2719C2212yes—
106#2719C2212yes—
107#2715C2212yes—
108#2707C2212yes—
109#2696C2212yes—
110#2692C2212yes—
111#2692C2212yes—
112#2690C2212yes—
113#2688C2212yes—
114#2687C2212yes—
115#2683C2211yescharacteristic
116#2682C2211yescharacteristic
117#2681C2212yes—
118#2680C2212yes—
119#2672C2212yes—
120#2667C2212yes—
121#2666C2212yes—
122#2655C2212yes—
123#2654C2212yes—
124#2652C2212yes—
125#2651C2212yes—
126#2651C2212yes—
127#2651C2212yes—
128#2637C2212yes—
129#2611C2212yes—
130#2609C2212yes—
131#2609C2212yes—
132#2609C2212yes—
133#2601C2212yes—
134#2600C2212yes—
135#2599C2212yes—
136#2598C2212yes—
137#2597C2212yes—
138#2594C2212yes—
139#2590C2212yes—
140#2590C2212yes—
141#2589C2212yes—
142#2588C2212yes—
143#2588C2212yes—
144#2587C2212yes—
145#2587C2212yes—
146#2586C2212yes—
147#2585C2212yes—
148#2584C2212yes—
149#2579C2212yes—
150#2578C2212yes—
151#2577C2212yes—
152#2577C2212yes—
153#2576C2212yes—
154#2576C2212yes—
155#2576C2212yes—
156#2575C2212yes—
157#2575C2212yes—
158#2574C2212yes—
159#2573C2212yes—
160#2570C2212yes—
161#2565C2212yes—
162#2560C2212yes—
163#2558C2212yes—
164#2558C2212yes—
165#2558C2212yes—
166#2558C2212yes—
167#2556C2212yes—
168#2556C2212yes—
169#2556C2212yes—
170#2556C2212yes—
171#2556C2212yes—
172#2556C2212yes—
173#2554C2212yes—
174#2554C2212yes—
175#2554C2212yes—
176#2553C2212yes—
177#2549C2212yes—
178#2538C2212yes—
179#2532C2212yes—
180#2531C2212yes—
181#2531C2212yes—
182#2530C2212yes—
183#2530C2212yes—
184#2529C2212yes—
185#2529C2212yes—
186#2529C2212yes—
187#2528C2212yes—
188#2528C2212yes—
189#2528C2212yes—
190#2525C2212yes—
191#2524C2212yes—
192#2523C2212yes—
193#2522C2212yes—
194#2522C2212yes—
195#2522C2212yes—
196#2522C2212yes—
197#2521C2212yes—
198#2520C2212yes—
199#2518C2212yes—
200#2517C2212yes—
201#2517C2212yes—
202#2516C2212yes—
203#2516C2212yes—
204#2515C2212yes—
205#2515C2212yes—
206#2514C2211yescharacteristic
207#2512C2212yes—
208#2508C2212yes—
209#2507C2212yes—
210#2506C2212yes—
211#2498C2212yes—
212#2494C2212yes—
213#2490C2212yes—
214#2489C2211yescharacteristic
215#2489C2212yes—
216#2488C2212yes—
217#2485C2211yescharacteristic
218#2481C2212yes—
219#2481C2212yes—
220#2479C2212yes—
221#2479C2212yes—
222#2479C2212yes—
223#2479C2212yes—
224#2478C2212yes—
225#2478C2212yes—
226#2476C2212yes—
227#2475C2212yes—
228#2475C2212yes—
229#2475C2212yes—
230#2473C2212yes—
231#2471C2212yes—
232#2471C2212yes—
233#2471C2212yes—
234#2471C2212yes—
235#2471C2212yes—
236#2471C2212yes—
237#2470C2212yes—
238#2469C2212yes—
239#2469C2212yes—
240#2465C2212yes—
241#2464C2212yes—
242#2463C2212yes—
243#2462C2212yes—
244#2462C2212yes—
245#2462C2212yes—
246#2462C2212yes—
247#2462C2212yes—
248#2461C2212yes—
249#2460C2212yes—
250#2458C2212yes—
251#2457C2212yes—
252#2456C2212yes—
253#2455C2212yes—
254#2454C2211yescharacteristic
255#2454C2212yes—
256#2454C2212yes—
257#2454C2212yes—
258#2449C2212yes—
259#2449C2212yes—
260#2449C2212yes—
261#2449C2212yes—
262#2448C2212yes—
263#2443C2212yes—
264#2443C2212yes—
265#2441C2212yes—
266#2441C2212yes—
267#2438C2212yes—
268#2432C2212yes—
269#2430C2212yes—
270#2429C2212yes—
271#2420C2211yescharacteristic
272#2413C2212yes—
273#2407C2211yescharacteristic
274#2407C2212yes—
275#2406C2212yes—
276#2402C2212yes—
277#2401C2212yes—
278#2398C2212yes—
279#2396C2212yes—
280#2396C2212yes—
281#2396C2212yes—
282#2396C2212yes—
283#2396C2212yes—
284#2388C2212yes—
285#2374C2212yes—
286#2374C2212yes—
287#2373C2212yes—
288#2373C2212yes—
289#2373C2212yes—
290#2373C2212yes—
291#2371C2212yes—
292#2371C2212yes—
293#2370C2211yescharacteristic
294#2370C2212yes—
295#2370C2212yes—
296#2370C2212yes—
297#2368C2212yes—
298#2368C2212yes—
299#2365C2211yescharacteristic
300#2365C2212yes—
301#2364C2212yes—
302#2363C2212yes—
303#2363C2212yes—
304#2363C2212yes—
305#2362C2211yescharacteristic
306#2362C2211yescharacteristic
307#2362C2211yescharacteristic
308#2362C2212yes—
309#2362C2212yes—
310#2360C2212yes—
311#2360C2212yes—
312#2360C2211yescharacteristic
313#2360C2212yes—
314#2359C2212yes—
315#2359C2212yes—
316#2359C2212yes—
317#2359C2212yes—
318#2356C2212yes—
319#2355C2212yes—
320#2354C2211yescharacteristic
321#2354C2211yescharacteristic
322#2353C2212yes—
323#2353C2212yes—
324#2352C2211yescharacteristic
325#2352C2212yes—
326#2351C2211yescharacteristic
327D4×C4⋊C4C2212yes—
328#2347C2212yes—
329#2347C2211yescharacteristic
330#2346C2211yescharacteristic
331#2345C2212yes—
332#2345C2212yes—
333#2344C2212yes—
334#2344C2211yescharacteristic
335#2344C2212yes—
336#2343C2212yes—
337#2343C2212yes—
338#2343C2212yes—
339#2341C2211yescharacteristic
340#2341C2211yescharacteristic
341#2339C2211yescharacteristic
342#2336C2212yes—
343#2336C2212yes—
344#2336C2212yes—
345#2336C2212yes—
346#2336C2212yes—
347#2335C2212yes—
348#2335C2212yes—
349#2334C2212yes—
350#2334C2212yes—
351#2334C2212yes—
352#2332C2212yes—
353#2332C2212yes—
354#2331C2212yes—
355#2330C2212yes—
356#2324C2212yes—
357#2323C2212yes—
358#2323C2212yes—
359#2322C2212yes—
360C4×C4⋊Q8C2211yescharacteristic
361C4×#125C2211yescharacteristic
362C4×C22⋊Q8C2212yes—
363C4×C22⋊Q8C2211yescharacteristic
364C4×C22⋊Q8C2211yescharacteristic
365C4×C22⋊Q8C2211yescharacteristic
366C4×C22⋊Q8C2211yescharacteristic
367C4×C22⋊Q8C2212yes—
368C4×C22⋊Q8C2212yes—
369C4×C22⋊Q8C2212yes—
370C4×#123C2212yes—
371C4×#123C2212yes—
372C4×#121C2211yescharacteristic
373C4×#121C2212yes—
374#2297C2211yescharacteristic
375#2297C2211yescharacteristic
376#2297C2211yescharacteristic
377#2297C2212yes—
378#2296C2212yes—
379#2296C2212yes—
380#2296C2211yescharacteristic
381#2295C2211yescharacteristic
382#2293C2211yescharacteristic
383#2293C2211yescharacteristic
384C2×#389C2211yescharacteristic
385#2290C2212yes—
386#2290C2212yes—
387#2290C2212yes—
388#2290C2212yes—
389#2290C2212yes—
390#2276C2212yes—
391#2274C2212yes—
392#2274C2212yes—
393C42×D4C2211yescharacteristic
394C2×C4×C4⋊C4C2212yes—
395C22×#41C2311yescharacteristic
396C22×#41C2311yescharacteristic
397C22×#41C2311yescharacteristic
398#554—216no—
399#552—28no—
400#552—216no—
401#547—28no—
402C2×C4⋊Q8C2311yescharacteristic
403C2×C4⋊Q8C2312yes—
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#125C2311yescharacteristic
417C2×#125C2312yes—
418C2×#125C2311yescharacteristic
419C2×#124C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2311yescharacteristic
434C2×C22⋊Q8C2311yescharacteristic
435C2×C22⋊Q8C2311yescharacteristic
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2311yescharacteristic
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2311yescharacteristic
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2311yescharacteristic
445C2×#121C2312yes—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2311yescharacteristic
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2312yes—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C2×#117C2312yes—
473C2×#117C2312yes—
474C2×#117C2311yescharacteristic
475C2×#117C2312yes—
476C2×#117C2312yes—
477C2×#117C2311yescharacteristic
478C2×#117C2311yescharacteristic
479C2×#117C2312yes—
480C2×#117C2312yes—
481C2×#117C2312yes—
482C2×#117C2311yescharacteristic
483C2×#117C2311yescharacteristic
484C2×#117C2312yes—
485C22×C4⋊C4C2312yes—
486C22×C4⋊C4C2312yes—
487C22×C4⋊C4C2311yescharacteristic
488C22×C4⋊C4C2312yes—
489C22×C4⋊C4C2312yes—
490C22×C4⋊C4C2311yescharacteristic
491C22×C42C2312yes—
492C22×C42C2312yes—
493C22×C42C2311yescharacteristic
494C22×C42C2312yes—
495C22×C42C2311yescharacteristic
496#401C2312yes—
497#401C2312yes—
498#401C2312yes—
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#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
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#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#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#395C2312yes—
615#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2312yes—
620#395C2312yes—
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
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#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#393C2312yes—
642#393C2312yes—
643#393C2312yes—
644#393C2312yes—
645#393C2312yes—
646#393C2312yes—
647#392C2312yes—
648#392C2312yes—
649#392C2312yes—
650#392C2312yes—
651#392C2312yes—
652#391C2312yes—
653#391C2311yescharacteristic
654#391C2311yescharacteristic
655#391C2312yes—
656#391C2312yes—
657#391C2311yescharacteristic
658#391C2312yes—
659#391C2311yescharacteristic
660#391C2312yes—
661#391C2312yes—
662#391C2311yescharacteristic
663#391C2312yes—
664#391C2312yes—
665#391C2311yescharacteristic
666#391C2312yes—
667#391C2311yescharacteristic
668#391C2311yescharacteristic
669#391C2312yes—
670#391C2312yes—
671#391C2311yescharacteristic
672#391C2311yescharacteristic
673#391C2312yes—
674#391C2311yescharacteristic
675#390C2312yes—
676#390C2312yes—
677#390C2312yes—
678#390C2312yes—
679#390C2312yes—
680#390C2312yes—
681#390C2311yescharacteristic
682#390C2311yescharacteristic
683#390C2311yescharacteristic
684#390C2312yes—
685#390C2312yes—
686#390C2311yescharacteristic
687#390C2311yescharacteristic
688#390C2312yes—
689#390C2312yes—
690#390C2312yes—
691#390C2311yescharacteristic
692#390C2311yescharacteristic
693#390C2312yes—
694#390C2312yes—
695#390C2312yes—
696#389C2311yescharacteristic
697#389C2311yescharacteristic
698#389C2312yes—
699#389C2312yes—
700#389C2312yes—
701#389C2312yes—
702#389C2312yes—
703#389C2312yes—
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2312yes—
708#389C2312yes—
709#389C2312yes—
710#389C2312yes—
711#389C2311yescharacteristic
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#389C2311yescharacteristic
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2311yescharacteristic
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2311yescharacteristic
735#389C2312yes—
736#389C2312yes—
737#389C2311yescharacteristic
738#389C2312yes—
739#389C2311yescharacteristic
740#389C2311yescharacteristic
741#389C2311yescharacteristic
742#389C2311yescharacteristic
743#389C2312yes—
744#389C2311yescharacteristic
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2311yescharacteristic
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
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#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#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#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#384C2311yescharacteristic
997#384C2312yes—
998#384C2312yes—
999#383C2312yes—
1000#383C2312yes—
1001#383C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#383C2312yes—
1005#382C2311yescharacteristic
1006#382C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2311yescharacteristic
1015#381C2312yes—
1016#381C2312yes—
1017#381C2312yes—
1018#381C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#380C2312yes—
1022#380C2312yes—
1023#380C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2311yescharacteristic
1027#380C2312yes—
1028#380C2312yes—
1029#380C2311yescharacteristic
1030#380C2311yescharacteristic
1031#380C2311yescharacteristic
1032#380C2311yescharacteristic
1033#380C2312yes—
1034#380C2311yescharacteristic
1035#380C2312yes—
1036#380C2312yes—
1037#380C2311yescharacteristic
1038#380C2312yes—
1039#380C2311yescharacteristic
1040C4×C4⋊C4C2311yescharacteristic
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2311yescharacteristic
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2311yescharacteristic
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⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
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⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2311yescharacteristic
1079C4×C4⋊C4C2311yescharacteristic
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2311yescharacteristic
1082C4×C4⋊C4C2311yescharacteristic
1083C4×C4⋊C4C2311yescharacteristic
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2311yescharacteristic
1087C4×C4⋊C4C2311yescharacteristic
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2312yes—
1102C4×C22⋊C4C2311yescharacteristic
1103C4×C22⋊C4C2311yescharacteristic
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2311yescharacteristic
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2311yescharacteristic
1119C4×C22⋊C4C2311yescharacteristic
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2311yescharacteristic
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2312yes—
1134C4×C22⋊C4C2312yes—
1135C4×C22⋊C4C2312yes—
1136#376C2312yes—
1137#376C2312yes—
1138#376C2312yes—
1139#376C2312yes—
1140#376C2312yes—
1141#376C2312yes—
1142C2×#95C2312yes—
1143C2×#95C2312yes—
1144C2×#95C2312yes—
1145C43C2311yescharacteristic
1146C2×#41—24no—
1147C2×#41—24no—
1148C2×#41—24no—
1149C2×#41—42no—
1150C2×#41—81no—
1151C2×#41—81no—
1152C2×#41—81no—
1153C2×#41—81no—
1154C2×#41—81no—
1155C22×Q8C2412yes—
1156C22×Q8C2411yescharacteristic
1157C22×Q8C2411yescharacteristic
1158C22×Q8C2412yes—
1159C22×Q8C2411yescharacteristic
1160C22×Q8C2411yescharacteristic
1161C22×D4C2411yescharacteristic
1162C22×D4C2412yes—
1163C22×D4C2412yes—
1164C22×D4C2412yes—
1165C22×D4C2411yescharacteristic
1166C22×D4C2412yes—
1167C22×D4C2412yes—
1168C22×D4C2412yes—
1169C22×D4C2411yescharacteristic
1170C23×C4C2412yes—
1171C23×C4C2412yes—
1172C23×C4C2412yes—
1173C23×C4C2412yes—
1174C23×C4C2412yes—
1175C23×C4C2411yescharacteristic
1176C23×C4C2412yes—
1177C23×C4C2412yes—
1178C23×C4C2411yescharacteristic
1179C23×C4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2411yescharacteristic
1184C23×C4C2411yescharacteristic
1185C23×C4C2411yescharacteristic
1186C23×C4C2412yes—
1187C23×C4C2411yescharacteristic
1188C4⋊Q8—24no—
1189C4⋊Q8—28no—
1190#126—28no—
1191#126—28no—
1192#126—28no—
1193#126—44no—
1194#126—82no—
1195#125—28no—
1196#125—28no—
1197#125—28no—
1198#125—28no—
1199#125—28no—
1200#125—81no—
1201#125—82no—
1202#125—82no—
1203#125—82no—
1204#125#4118yescomplemented
1205#124—82no—
1206#123—28no—
1207#123—28no—
1208#123—28no—
1209#123—28no—
1210#123—28no—
1211#123—44no—
1212#123—82no—
1213#123—82no—
1214C22⋊Q8—28no—
1215C22⋊Q8—24no—
1216C22⋊Q8—28no—
1217C22⋊Q8—24no—
1218C22⋊Q8—28no—
1219C22⋊Q8—24no—
1220C22⋊Q8—28no—
1221C22⋊Q8—28no—
1222C22⋊Q8—28no—
1223C22⋊Q8—28no—
1224C22⋊Q8—82no—
1225C22⋊Q8—82no—
1226C22⋊Q8—81no—
1227C22⋊Q8#4118yescomplemented
1228#121—24no—
1229#121—28no—
1230#121—28no—
1231#121—82no—
1232C4×Q8—28no—
1233C4×Q8—28no—
1234C4×Q8—24no—
1235C4×Q8—44no—
1236C4×Q8—81no—
1237C4×Q8—81no—
1238C4×Q8—81no—
1239C4×Q8—81no—
1240C4×Q8—82no—
1241C4×Q8—81no—
1242C4×Q8—81no—
1243C4×D4—24no—
1244C4×D4—24no—
1245C4×D4—28no—
1246C4×D4—24no—
1247C4×D4—28no—
1248C4×D4—28no—
1249C4×D4—28no—
1250C4×D4—24no—
1251C4×D4—42no—
1252C4×D4—82no—
1253C4×D4—81no—
1254C4×D4—82no—
1255C4×D4—82no—
1256#117—24no—
1257#117—28no—
1258#117—28no—
1259#117—28no—
1260#117—28no—
1261#117—42no—
1262#117—44no—
1263#117—44no—
1264#117—81no—
1265#117—82no—
1266#117—82no—
1267#117—82no—
1268#117—81no—
1269#117—82no—
1270#117—81no—
1271C2×C4⋊C4—28no—
1272C2×C4⋊C4—28no—
1273C2×C4⋊C4—28no—
1274C2×C4⋊C4—24no—
1275C2×C4⋊C4—28no—
1276C2×C4⋊C4—81no—
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2411yescharacteristic
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2411yescharacteristic
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2411yescharacteristic
1316C2×C4⋊C4C2411yescharacteristic
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2411yescharacteristic
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2411yescharacteristic
1321C2×C4⋊C4C2411yescharacteristic
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2411yescharacteristic
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2411yescharacteristic
1334C2×C4⋊C4C2411yescharacteristic
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2411yescharacteristic
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2411yescharacteristic
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2411yescharacteristic
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2411yescharacteristic
1375C2×C4⋊C4C2411yescharacteristic
1376C2×C22⋊C4C2411yescharacteristic
1377C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1391C2×C22⋊C4C2411yescharacteristic
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2411yescharacteristic
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2411yescharacteristic
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C22⋊C4C2412yes—
1442C2×C42—44no—
1443C2×C42—81no—
1444C2×C42—81no—
1445C2×C42—82no—
1446C2×C42—82no—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451C2×C42C2412yes—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2412yes—
1455C2×C42C2411yescharacteristic
1456C2×C42C2412yes—
1457C2×C42C2412yes—
1458C2×C42C2412yes—
1459C2×C42C2412yes—
1460C2×C42C2411yescharacteristic
1461C2×C42C2412yes—
1462C2×C42C2412yes—
1463C2×C42C2412yes—
1464C2×C42C2412yes—
1465C2×C42C2412yes—
1466C2×C42C2412yes—
1467C2×C42C2412yes—
1468C2×C42C2412yes—
1469C2×C42C2412yes—
1470C2×C42C2412yes—
1471C2×C42C2412yes—
1472C2×C42C2412yes—
1473C2×C42C2412yes—
1474C2×C42C2411yescharacteristic
1475C2×C42C2411yescharacteristic
1476C2×C42C2412yes—
1477C2×C42C2411yescharacteristic
1478C2×C42C2412yes—
1479C2×C42C2412yes—
1480C2×C42C2411yescharacteristic
1481C2×C42C2411yescharacteristic
1482C2×C42C2411yescharacteristic
1483C2×C42C2412yes—
1484C2×C42C2411yescharacteristic
1485C2×C42C2412yes—
1486C2×C42C2412yes—
1487C2×C42C2411yescharacteristic
1488C2×C42C2412yes—
1489C2×C42C2411yescharacteristic
1490C2×C42C2411yescharacteristic
1491C2×C42C2412yes—
1492C2×C42C2412yes—
1493C2×C42C2411yescharacteristic
1494#95C2411yescharacteristic
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#95C2411yescharacteristic
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2411yescharacteristic
1528#95C2411yescharacteristic
1529#95C2411yescharacteristic
1530#95C2411yescharacteristic
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—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593#95C2412yes—
1594#95C2412yes—
1595#95C2412yes—
1596#95C2412yes—
1597#95C2412yes—
1598#95C2412yes—
1599#95C2412yes—
1600#95C2412yes—
1601#95C2412yes—
1602#95C2412yes—
1603#95C2412yes—
1604C24C2511yescharacteristic
1605C24C2512yes—
1606C24C2511yescharacteristic
1607C24C2512yes—
1608#41—88no—
1609#41—88no—
1610#41—88no—
1611C2×Q8—24no—
1612C2×Q8—24no—
1613C2×Q8—22no—
1614C2×Q8—22no—
1615C2×Q8—24no—
1616C2×Q8—22no—
1617C2×Q8—42no—
1618C2×Q8—41no—
1619C2×Q8—41no—
1620C2×Q8—41no—
1621C2×Q8—41no—
1622C2×Q8—41no—
1623C2×Q8—41no—
1624C2×Q8—42no—
1625C2×Q8—42no—
1626C2×Q8—41no—
1627C2×Q8—41no—
1628C2×Q8C2×#4114yes—
1629C2×D4—24no—
1630C2×D4—22no—
1631C2×D4—24no—
1632C2×D4—24no—
1633C2×D4—24no—
1634C2×D4—24no—
1635C2×D4—24no—
1636C2×D4—22no—
1637C2×D4—24no—
1638C2×D4—22no—
1639C2×D4—24no—
1640C2×D4—41no—
1641C2×D4—42no—
1642C2×D4—41no—
1643C2×D4—42no—
1644C2×D4—41no—
1645C2×D4—41no—
1646C2×D4—41no—
1647C2×D4—42no—
1648C2×D4—42no—
1649C2×D4—42no—
1650C2×D4—42no—
1651C2×D4—42no—
1652C2×D4—42no—
1653C2×D4—42no—
1654C2×D4—42no—
1655C2×D42−1+414yes—
1656C22×C4—24no—
1657C22×C4—24no—
1658C22×C4—24no—
1659C22×C4—24no—
1660C22×C4—24no—
1661C22×C4—24no—
1662C22×C4—24no—
1663C22×C4—24no—
1664C22×C4—24no—
1665C22×C4—24no—
1666C22×C4—24no—
1667C22×C4—22no—
1668C22×C4—24no—
1669C22×C4—22no—
1670C22×C4—22no—
1671C22×C4—22no—
1672C22×C4—24no—
1673C22×C4—22no—
1674C22×C4—24no—
1675C22×C4—24no—
1676C22×C4—24no—
1677C22×C4—24no—
1678C22×C4—22no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—41no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—41no—
1686C22×C4—41no—
1687C22×C4—41no—
1688C22×C4—41no—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—41no—
1693C22×C4—41no—
1694C22×C4—41no—
1695C22×C4—41no—
1696C22×C4—42no—
1697C22×C4—42no—
1698C22×C4—42no—
1699C22×C4—41no—
1700C22×C4—42no—
1701C22×C4—42no—
1702C22×C4—41no—
1703C22×C4—42no—
1704C22×C4—42no—
1705C22×C4—42no—
1706C22×C4—42no—
1707C22×C4—42no—
1708C22×C4—42no—
1709C22×C4C2×#4114yes—
1710C22×C4C2512yes—
1711C22×C4C2512yes—
1712C22×C4C2511yescharacteristic
1713C22×C4C2512yes—
1714C22×C4C2511yescharacteristic
1715C22×C4C2512yes—
1716C22×C4C2512yes—
1717C22×C4C2511yescharacteristic
1718C22×C4C2512yes—
1719C22×C4C2512yes—
1720C22×C4C2511yescharacteristic
1721C22×C4C2512yes—
1722C22×C4C2512yes—
1723C22×C4C2512yes—
1724C22×C4C2511yescharacteristic
1725C22×C4C2512yes—
1726C22×C4C2511yescharacteristic
1727C22×C4C2512yes—
1728C22×C4C2512yes—
1729C22×C4C2512yes—
1730C22×C4C2512yes—
1731C22×C4C2512yes—
1732C22×C4C2512yes—
1733C22×C4C2512yes—
1734C22×C4C2511yescharacteristic
1735C22×C4C2511yescharacteristic
1736C22×C4C2512yes—
1737C22×C4C2512yes—
1738C22×C4C2512yes—
1739C22×C4C2511yescharacteristic
1740C22×C4C2511yescharacteristic
1741C22×C4C2511yescharacteristic
1742C22×C4C2512yes—
1743C22×C4C2511yescharacteristic
1744C22×C4C2511yescharacteristic
1745C4⋊C4—22no—
1746C4⋊C4—24no—
1747C4⋊C4—24no—
1748C4⋊C4—22no—
1749C4⋊C4—24no—
1750C4⋊C4—24no—
1751C4⋊C4—24no—
1752C4⋊C4—24no—
1753C4⋊C4—24no—
1754C4⋊C4—24no—
1755C4⋊C4—24no—
1756C4⋊C4—24no—
1757C4⋊C4—24no—
1758C4⋊C4—24no—
1759C4⋊C4—24no—
1760C4⋊C4—24no—
1761C4⋊C4—24no—
1762C4⋊C4—24no—
1763C4⋊C4—24no—
1764C4⋊C4—24no—
1765C4⋊C4—22no—
1766C4⋊C4—24no—
1767C4⋊C4—24no—
1768C4⋊C4—24no—
1769C4⋊C4—24no—
1770C4⋊C4—24no—
1771C4⋊C4—24no—
1772C4⋊C4—24no—
1773C4⋊C4—24no—
1774C4⋊C4—24no—
1775C4⋊C4—24no—
1776C4⋊C4—24no—
1777C4⋊C4—24no—
1778C4⋊C4—22no—
1779C4⋊C4—24no—
1780C4⋊C4—22no—
1781C4⋊C4—22no—
1782C4⋊C4—24no—
1783C4⋊C4—41no—
1784C4⋊C4—41no—
1785C4⋊C4—42no—
1786C4⋊C4—41no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—41no—
1796C4⋊C4—41no—
1797C4⋊C4—42no—
1798C4⋊C4—41no—
1799C4⋊C4—42no—
1800C4⋊C4—41no—
1801C4⋊C4—41no—
1802C4⋊C4—41no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—41no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—41no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—41no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—42no—
1832C4⋊C4—42no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4C2×#4118yes—
1839C4⋊C4C2×#4118yes—
1840C4⋊C4C2×#4114yes—
1841C4⋊C4C2×#4118yes—
1842C4⋊C4C2×#4114yes—
1843C4⋊C4C2×#4114yes—
1844C22⋊C4—24no—
1845C22⋊C4—22no—
1846C22⋊C4—24no—
1847C22⋊C4—24no—
1848C22⋊C4—24no—
1849C22⋊C4—24no—
1850C22⋊C4—22no—
1851C22⋊C4—24no—
1852C22⋊C4—24no—
1853C22⋊C4—24no—
1854C22⋊C4—24no—
1855C22⋊C4—24no—
1856C22⋊C4—24no—
1857C22⋊C4—24no—
1858C22⋊C4—24no—
1859C22⋊C4—24no—
1860C22⋊C4—22no—
1861C22⋊C4—24no—
1862C22⋊C4—24no—
1863C22⋊C4—22no—
1864C22⋊C4—24no—
1865C22⋊C4—24no—
1866C22⋊C4—24no—
1867C22⋊C4—24no—
1868C22⋊C4—24no—
1869C22⋊C4—22no—
1870C22⋊C4—24no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—41no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4C2×#4118yes—
1910C42—24no—
1911C42—24no—
1912C42—24no—
1913C42—24no—
1914C42—24no—
1915C42—22no—
1916C42—24no—
1917C42—24no—
1918C42—24no—
1919C42—24no—
1920C42—22no—
1921C42—24no—
1922C42—24no—
1923C42—24no—
1924C42—42no—
1925C42—42no—
1926C42—41no—
1927C42—42no—
1928C42—42no—
1929C42—42no—
1930C42—42no—
1931C42—41no—
1932C42—42no—
1933C42—41no—
1934C42—41no—
1935C42—42no—
1936C42—41no—
1937C42—41no—
1938C42—42no—
1939C42—41no—
1940C42—42no—
1941C42—41no—
1942C42—42no—
1943C42—42no—
1944C42—42no—
1945C42—42no—
1946C42—42no—
1947C42—42no—
1948C42—42no—
1949C42—42no—
1950C42—41no—
1951C42—42no—
1952C42—42no—
1953C42—41no—
1954C42—42no—
1955C42—42no—
1956C42C2×#4114yes—
1957C23—22no—
1958C23—22no—
1959C23—21no—
1960C23—21no—
1961C23—21no—
1962C23—22no—
1963C23—21no—
1964C23—22no—
1965C23—22no—
1966C23—21no—
1967C23—22no—
1968C23—21no—
1969C23—22no—
1970C23—21no—
1971C23—21no—
1972C23—22no—
1973C23—22no—
1974C23—21no—
1975C23—22no—
1976C23—21no—
1977C23—21no—
1978C23—22no—
1979C23—22no—
1980C23—21no—
1981C23—22no—
1982C23—21no—
1983C23C22×#4112yes—
1984C23C2×2−1+414yes—
1985C23C2611yescharacteristic
1986Q8—44no—
1987Q8—48no—
1988Q8—44no—
1989Q8—44no—
1990Q8—84no—
1991Q8—82no—
1992D4—44no—
1993D4—48no—
1994D4—44no—
1995D4—44no—
1996D4—48no—
1997D4—84no—
1998D4—84no—
1999D4—84no—
2000D4—84no—
2001C2×C4—21no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—21no—
2005C2×C4—22no—
2006C2×C4—21no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—21no—
2010C2×C4—21no—
2011C2×C4—21no—
2012C2×C4—21no—
2013C2×C4—22no—
2014C2×C4—21no—
2015C2×C4—21no—
2016C2×C4—21no—
2017C2×C4—21no—
2018C2×C4—21no—
2019C2×C4—22no—
2020C2×C4—21no—
2021C2×C4—22no—
2022C2×C4—21no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—21no—
2027C2×C4—22no—
2028C2×C4—21no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—21no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—21no—
2040C2×C4—22no—
2041C2×C4—21no—
2042C2×C4—22no—
2043C2×C4—21no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—21no—
2053C2×C4—21no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—21no—
2062C2×C4—21no—
2063C2×C4—22no—
2064C2×C4—21no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—21no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—21no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—21no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—21no—
2084C2×C4—21no—
2085C2×C4—21no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—21no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—44no—
2096C2×C4—48no—
2097C2×C4—48no—
2098C2×C4—44no—
2099C2×C4—48no—
2100C2×C4—48no—
2101C2×C4—48no—
2102C2×C4—48no—
2103C2×C4—44no—
2104C2×C4—44no—
2105C2×C4—44no—
2106C2×C4—48no—
2107C2×C4—84no—
2108C2×C4—84no—
2109C2×C4—82no—
2110C2×C4—84no—
2111C2×C4—84no—
2112C2×C4—84no—
2113C2×C4C22×#4112yes—
2114C2×C4C22×#4112yes—
2115C2×C4C22×#4114yes—
2116C2×C4C22×#4112yes—
2117C2×C4C22×#4114yes—
2118C2×C4C22×#4114yes—
2119C2×C4C22×#4112yes—
2120C2×C4C22×#4114yes—
2121C2×C4C22×#4112yes—
2122C2×C4C2×2−1+412yes—
2123C2×C4#58512yes—
2124C22—22no—
2125C22—24no—
2126C22—24no—
2127C22—22no—
2128C22—24no—
2129C22—22no—
2130C22—41no—
2131C22—42no—
2132C22—41no—
2133C22—42no—
2134C22—41no—
2135C22—42no—
2136C22—41no—
2137C22—42no—
2138C22—41no—
2139C22—42no—
2140C22—42no—
2141C22—41no—
2142C22—42no—
2143C22—41no—
2144C22—41no—
2145C22—42no—
2146C22—41no—
2147C22—42no—
2148C22—41no—
2149C22—42no—
2150C22—42no—
2151C22—41no—
2152C22C23×#4111yescharacteristic
2153C22C23×#4111yescharacteristic
2154C22C22×2−1+411yescharacteristic
2155C22C2×#58511yescharacteristic
2156C22H(7,𝔽2)11yescharacteristic
2157C22H(7,𝔽2)11yescharacteristic
2158C222−1+611yescharacteristic
2159C4—22no—
2160C4—24no—
2161C4—22no—
2162C4—22no—
2163C4—24no—
2164C4—22no—
2165C4—22no—
2166C4—22no—
2167C4—22no—
2168C4—24no—
2169C4—24no—
2170C4—41no—
2171C4—42no—
2172C4—42no—
2173C4—42no—
2174C4—42no—
2175C4—41no—
2176C4—42no—
2177C4—42no—
2178C4—42no—
2179C4—41no—
2180C4—42no—
2181C4—42no—
2182C4—42no—
2183C4—42no—
2184C4—42no—
2185C4—42no—
2186C4—41no—
2187C4—41no—
2188C4—42no—
2189C4—42no—
2190C4—41no—
2191C4—42no—
2192C4—42no—
2193C4—42no—
2194C2—42no—
2195C2—44no—
2196C2—82no—
2197C2—81no—
2198C2#41211yescharacteristic
2199C2#6284611yescharacteristic
2200C2#6285111yescharacteristic
2201C2#6290311yescharacteristic
2202C2#6299811yescharacteristic
2203C2#6300011yescharacteristic
2204C2#6304711yescharacteristic
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. #60044C2semidirect
2. #59974C2semidirect
3. #59835C2semidirect
4. #59830C2semidirect
5. #59569C2semidirect
6. #59559C2semidirect
7. #52288C2semidirect
8. #52278C2semidirect
9. #52267C2semidirect
10. #44837C2semidirect
11. #44751C2semidirect
12. #44197C2semidirect
13. #44190C2semidirect
14. #44176C2semidirect
15. #43775C2semidirect
16. #43731C2semidirect
17. #43348C2semidirect
18. #43119C2semidirect
19. #39709C2semidirect
20. #39703C2semidirect
21. #39215C2semidirect
22. #39209C2semidirect
23. #38783C2semidirect
24. #38782C2semidirect
25. #38646C2semidirect
26. #38637C2semidirect
27. #38551C2semidirect
28. #38550C2semidirect
29. #38473C2semidirect
30. #38467C2semidirect
31. #36392C2semidirect
32. #36328C2semidirect
33. #36071C2semidirect
34. #35946C2semidirect
35. #35943C2semidirect
36. #34316C2semidirect
37. #34314C2semidirect
38. #34304C2semidirect
39. #34299C2semidirect
1204. #125#41semidirect
1227. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#600442
#599742
#598352
#598302
#595692
#595592
#522882
#522782
#522672
#448372
#447512
#441972
#441902
#441762
#437752
#437312
#433482
#431192
#397092
#397032
#392152
#392092
#387832
#387822
#386462
#386372
#385512
#385502
#384732
#384672
#363922
#363282
#360712
#359462
#359432
#343162
#343142
#343042
#342992