Finite Group Databasebeta

← #7695638

Subgroups — #7695638

Order 512.

4586 conjugacy classes of subgroups.

The subgroup lattice has 2176 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60046C211yesmaximal, characteristic, complemented
2#59966C212yesmaximal, complemented
3#59889C212yesmaximal, complemented
4#59877C211yesmaximal, characteristic, complemented
5#59873C211yesmaximal, characteristic, complemented
6#59791C212yesmaximal, complemented
7#52290C211yesmaximal, characteristic, complemented
8#52280C211yesmaximal, characteristic, complemented
9#52274C211yesmaximal, characteristic, complemented
10#44750C212yesmaximal, complemented
11#44678C212yesmaximal, complemented
12#44633C212yesmaximal, complemented
13#44622C212yesmaximal, complemented
14#44384C212yesmaximal, complemented
15#44224C212yesmaximal, complemented
16#44208C212yesmaximal, complemented
17#43414C212yesmaximal, complemented
18#43170C212yesmaximal, complemented
19#39843C212yesmaximal, complemented
20#39838C211yesmaximal, characteristic, complemented
21#39835C212yesmaximal, complemented
22#39829C211yesmaximal, characteristic, complemented
23#38815C212yesmaximal, complemented
24#38804C212yesmaximal, complemented
25#38803C211yesmaximal, characteristic, complemented
26#38801C211yesmaximal, characteristic, complemented
27#38439C212yesmaximal, complemented
28#38435C211yesmaximal, characteristic, complemented
29#38431C212yesmaximal, complemented
30#38427C211yesmaximal, characteristic, complemented
31#36401C211yesmaximal, characteristic, complemented
32#36395C212yesmaximal, complemented
33#35960C212yesmaximal, complemented
34#35955C212yesmaximal, complemented
35#35933C212yesmaximal, complemented
36#34322C212yesmaximal, complemented
37#34321C211yesmaximal, characteristic, complemented
38#34318C212yesmaximal, complemented
39#34314C211yesmaximal, characteristic, complemented
40C2×#556C2212yes—
41C2×#555C2211yescharacteristic
42C2×#552C2211yescharacteristic
43C2×#552C2212yes—
44#2863C2212yes—
45#2861C2212yes—
46#2860C2212yes—
47#2860C2211yescharacteristic
48#2854C2211yescharacteristic
49#2851C2211yescharacteristic
50#2810C2211yescharacteristic
51#2809C2211yescharacteristic
52#2808C2211yescharacteristic
53#2806C2211yescharacteristic
54#2805C2211yescharacteristic
55#2805C2211yescharacteristic
56#2803C2212yes—
57#2802C2212yes—
58#2800C2212yes—
59#2799C2212yes—
60#2795C2212yes—
61#2791C2212yes—
62#2791C2212yes—
63#2790C2212yes—
64#2790C2212yes—
65#2788C2212yes—
66#2781C2212yes—
67#2778C2212yes—
68#2775C2212yes—
69#2774C2212yes—
70#2774C2212yes—
71#2772C2212yes—
72#2770C2212yes—
73#2769C2212yes—
74#2768C2212yes—
75#2768C2212yes—
76#2766C2212yes—
77#2764C2212yes—
78#2762C2212yes—
79#2759C2212yes—
80#2758C2212yes—
81#2756C2212yes—
82#2755C2212yes—
83#2753C2212yes—
84#2751C2212yes—
85#2744C2212yes—
86#2741C2212yes—
87#2738C2212yes—
88#2734C2211yescharacteristic
89#2733C2211yescharacteristic
90#2731C2212yes—
91#2730C2212yes—
92#2730C2212yes—
93#2729C2212yes—
94#2729C2212yes—
95#2727C2211yescharacteristic
96#2727C2211yescharacteristic
97#2727C2211yescharacteristic
98#2726C2211yescharacteristic
99#2726C2211yescharacteristic
100#2726C2211yescharacteristic
101#2725C2212yes—
102#2725C2212yes—
103#2724C2211yescharacteristic
104#2722C2212yes—
105#2720C2212yes—
106#2716C2212yes—
107#2714C2212yes—
108#2713C2212yes—
109#2711C2212yes—
110#2710C2212yes—
111#2706C2212yes—
112#2705C2212yes—
113#2704C2212yes—
114#2704C2212yes—
115#2703C2212yes—
116#2702C2212yes—
117#2700C2212yes—
118#2683C2211yescharacteristic
119#2681C2212yes—
120#2667C2212yes—
121#2666C2212yes—
122#2665C2212yes—
123#2664C2212yes—
124#2664C2212yes—
125#2662C2212yes—
126#2662C2212yes—
127#2662C2212yes—
128#2661C2212yes—
129#2611C2212yes—
130#2611C2212yes—
131#2610C2212yes—
132#2610C2212yes—
133#2610C2212yes—
134#2609C2212yes—
135#2606C2212yes—
136#2604C2212yes—
137#2604C2212yes—
138#2604C2212yes—
139#2603C2212yes—
140#2602C2212yes—
141#2602C2212yes—
142#2601C2212yes—
143#2601C2212yes—
144#2601C2212yes—
145#2601C2212yes—
146#2601C2212yes—
147#2601C2212yes—
148#2600C2212yes—
149#2599C2212yes—
150#2599C2212yes—
151#2599C2212yes—
152#2598C2212yes—
153#2597C2212yes—
154#2596C2212yes—
155#2596C2212yes—
156#2596C2212yes—
157#2595C2212yes—
158#2594C2212yes—
159#2594C2212yes—
160#2594C2212yes—
161#2594C2212yes—
162#2594C2212yes—
163#2594C2212yes—
164#2593C2212yes—
165#2593C2212yes—
166#2593C2212yes—
167#2593C2212yes—
168#2593C2212yes—
169#2592C2212yes—
170#2591C2212yes—
171#2589C2212yes—
172#2588C2212yes—
173#2586C2212yes—
174#2585C2212yes—
175#2585C2212yes—
176#2584C2212yes—
177#2579C2212yes—
178#2579C2212yes—
179#2578C2212yes—
180#2578C2212yes—
181#2578C2212yes—
182#2577C2212yes—
183#2577C2212yes—
184#2577C2212yes—
185#2577C2212yes—
186#2576C2212yes—
187#2574C2212yes—
188#2574C2212yes—
189#2574C2212yes—
190#2573C2212yes—
191#2573C2212yes—
192#2573C2212yes—
193#2573C2212yes—
194#2573C2212yes—
195#2572C2212yes—
196#2564C2212yes—
197#2558C2212yes—
198#2554C2212yes—
199#2554C2212yes—
200#2554C2212yes—
201#2533C2212yes—
202#2532C2212yes—
203#2532C2212yes—
204#2532C2212yes—
205#2529C2212yes—
206#2528C2212yes—
207#2526C2212yes—
208#2526C2212yes—
209#2525C2212yes—
210#2525C2212yes—
211#2525C2212yes—
212#2525C2212yes—
213#2525C2212yes—
214#2525C2212yes—
215#2524C2212yes—
216#2524C2212yes—
217#2524C2212yes—
218#2519C2212yes—
219#2519C2212yes—
220#2518C2212yes—
221#2516C2212yes—
222#2516C2212yes—
223#2516C2212yes—
224#2514C2212yes—
225#2513C2212yes—
226#2513C2211yescharacteristic
227#2490C2211yescharacteristic
228#2485C2211yescharacteristic
229#2484C2212yes—
230#2481C2212yes—
231#2481C2212yes—
232#2479C2212yes—
233#2477C2212yes—
234#2477C2212yes—
235#2476C2212yes—
236#2475C2212yes—
237#2474C2212yes—
238#2470C2212yes—
239#2470C2212yes—
240#2469C2212yes—
241#2469C2212yes—
242#2469C2212yes—
243#2469C2212yes—
244#2468C2212yes—
245#2468C2212yes—
246#2468C2212yes—
247#2468C2212yes—
248#2467C2212yes—
249#2466C2212yes—
250#2466C2212yes—
251#2465C2212yes—
252#2463C2212yes—
253#2462C2212yes—
254#2462C2212yes—
255#2460C2212yes—
256#2460C2212yes—
257#2459C2212yes—
258#2458C2212yes—
259#2458C2212yes—
260#2458C2212yes—
261#2458C2212yes—
262#2457C2212yes—
263#2456C2212yes—
264#2456C2212yes—
265#2454C2212yes—
266#2453C2212yes—
267#2453C2211yescharacteristic
268#2449C2212yes—
269#2438C2212yes—
270#2425C2212yes—
271#2421C2211yescharacteristic
272#2413C2212yes—
273#2413C2212yes—
274#2407C2211yescharacteristic
275#2406C2212yes—
276#2402C2212yes—
277#2402C2212yes—
278#2402C2212yes—
279#2399C2212yes—
280#2399C2212yes—
281#2396C2212yes—
282#2395C2212yes—
283#2392C2212yes—
284#2388C2212yes—
285#2374C2212yes—
286#2374C2212yes—
287#2374C2212yes—
288#2373C2212yes—
289#2373C2212yes—
290#2373C2212yes—
291#2373C2212yes—
292#2373C2212yes—
293#2373C2212yes—
294#2373C2212yes—
295#2373C2212yes—
296#2370C2211yescharacteristic
297#2370C2212yes—
298#2370C2212yes—
299#2370C2212yes—
300#2370C2212yes—
301#2369C2211yescharacteristic
302#2367C2212yes—
303#2367C2212yes—
304#2367C2212yes—
305#2367C2212yes—
306#2365C2212yes—
307#2363C2211yescharacteristic
308#2363C2211yescharacteristic
309#2362C2211yescharacteristic
310#2362C2212yes—
311#2361C2212yes—
312#2360C2211yescharacteristic
313#2360C2212yes—
314#2360C2212yes—
315#2360C2212yes—
316#2359C2212yes—
317#2357C2212yes—
318#2356C2212yes—
319#2355C2212yes—
320#2354C2211yescharacteristic
321#2353C2212yes—
322#2352C2211yescharacteristic
323#2352C2212yes—
324#2351C2211yescharacteristic
325#2351C2212yes—
326D4×C4⋊C4C2211yescharacteristic
327D4×C4⋊C4C2212yes—
328#2347C2211yescharacteristic
329#2347C2211yescharacteristic
330#2347C2212yes—
331#2347C2212yes—
332#2347C2211yescharacteristic
333#2347C2212yes—
334#2347C2211yescharacteristic
335#2347C2212yes—
336#2346C2212yes—
337#2346C2212yes—
338#2345C2212yes—
339#2344C2211yescharacteristic
340#2343C2212yes—
341#2341C2211yescharacteristic
342#2337C2212yes—
343#2337C2212yes—
344#2336C2212yes—
345#2336C2212yes—
346#2336C2212yes—
347#2335C2212yes—
348#2335C2212yes—
349#2334C2212yes—
350#2334C2212yes—
351#2334C2212yes—
352#2334C2212yes—
353#2334C2212yes—
354#2324C2212yes—
355#2323C2212yes—
356#2323C2212yes—
357#2323C2212yes—
358#2323C2212yes—
359#2322C2212yes—
360C4×C4⋊Q8C2211yescharacteristic
361C4×C4⋊Q8C2212yes—
362C4×#125C2211yescharacteristic
363C4×#125C2212yes—
364C4×#125C2212yes—
365C4×#126C2212yes—
366C4×#126C2212yes—
367C4×#124C2212yes—
368C4×#124C2212yes—
369C4×C22⋊Q8C2211yescharacteristic
370C4×C22⋊Q8C2211yescharacteristic
371C4×C22⋊Q8C2211yescharacteristic
372C4×#121C2211yescharacteristic
373C4×#121C2211yescharacteristic
374#2298C2212yes—
375#2298C2212yes—
376#2297C2211yescharacteristic
377#2296C2211yescharacteristic
378#2296C2211yescharacteristic
379#2296C2211yescharacteristic
380#2295C2211yescharacteristic
381#2295C2212yes—
382#2295C2212yes—
383#2295C2212yes—
384#2295C2211yescharacteristic
385#2293C2212yes—
386#2293C2211yescharacteristic
387#2293C2212yes—
388#2293C2212yes—
389C2×#389C2211yescharacteristic
390#2274C2212yes—
391#2274C2212yes—
392#2274C2212yes—
393C42×Q8C2212yes—
394C42×D4C2211yescharacteristic
395C22×#41C2311yescharacteristic
396#556—216no—
397#555—28no—
398#552—28no—
399#552—216no—
400C2×C4⋊Q8C2312yes—
401C2×C4⋊Q8C2311yescharacteristic
402C2×#126C2312yes—
403C2×#126C2312yes—
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#125C2311yescharacteristic
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#125C2312yes—
417C2×#125C2312yes—
418C2×#125C2311yescharacteristic
419C2×#124C2312yes—
420C2×#124C2312yes—
421C2×#124C2312yes—
422C2×#124C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2311yescharacteristic
434C2×C22⋊Q8C2311yescharacteristic
435C2×C22⋊Q8C2311yescharacteristic
436C2×#121C2312yes—
437C2×#121C2311yescharacteristic
438C2×#121C2311yescharacteristic
439C2×#121C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2311yescharacteristic
472C2×#117C2311yescharacteristic
473C2×#117C2312yes—
474C2×#117C2311yescharacteristic
475C2×#117C2312yes—
476C2×#117C2311yescharacteristic
477C2×#117C2311yescharacteristic
478C2×#117C2311yescharacteristic
479C2×#117C2311yescharacteristic
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2311yescharacteristic
482C22×C4⋊C4C2312yes—
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2311yescharacteristic
485C22×C42C2311yescharacteristic
486C22×C42C2311yescharacteristic
487#401C2312yes—
488#401C2312yes—
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#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
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#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#396C2312yes—
574#396C2312yes—
575#396C2312yes—
576#396C2312yes—
577#396C2312yes—
578#396C2312yes—
579#396C2312yes—
580#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#395C2312yes—
594#395C2312yes—
595#395C2312yes—
596#395C2312yes—
597#395C2312yes—
598#395C2312yes—
599#395C2312yes—
600#395C2312yes—
601#395C2312yes—
602#395C2312yes—
603#395C2312yes—
604#394C2312yes—
605#394C2312yes—
606#394C2312yes—
607#394C2312yes—
608#394C2312yes—
609#394C2312yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#393C2312yes—
628#393C2312yes—
629#393C2312yes—
630#393C2312yes—
631#393C2312yes—
632#393C2312yes—
633#393C2312yes—
634#393C2312yes—
635#393C2312yes—
636#392C2312yes—
637#392C2312yes—
638#392C2312yes—
639#392C2312yes—
640#392C2312yes—
641#392C2312yes—
642#392C2312yes—
643#391C2312yes—
644#391C2312yes—
645#391C2312yes—
646#391C2312yes—
647#391C2311yescharacteristic
648#391C2312yes—
649#391C2312yes—
650#391C2312yes—
651#391C2312yes—
652#391C2312yes—
653#391C2311yescharacteristic
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2312yes—
658#391C2312yes—
659#391C2311yescharacteristic
660#391C2312yes—
661#391C2311yescharacteristic
662#391C2311yescharacteristic
663#390C2312yes—
664#390C2312yes—
665#390C2312yes—
666#390C2312yes—
667#390C2312yes—
668#390C2312yes—
669#390C2311yescharacteristic
670#390C2312yes—
671#390C2312yes—
672#390C2312yes—
673#390C2312yes—
674#390C2311yescharacteristic
675#390C2311yescharacteristic
676#390C2311yescharacteristic
677#390C2312yes—
678#390C2312yes—
679#390C2312yes—
680#390C2312yes—
681#390C2311yescharacteristic
682#390C2311yescharacteristic
683#390C2312yes—
684#390C2311yescharacteristic
685#389C2312yes—
686#389C2312yes—
687#389C2312yes—
688#389C2311yescharacteristic
689#389C2311yescharacteristic
690#389C2312yes—
691#389C2312yes—
692#389C2312yes—
693#389C2312yes—
694#389C2312yes—
695#389C2312yes—
696#389C2311yescharacteristic
697#389C2311yescharacteristic
698#389C2311yescharacteristic
699#389C2311yescharacteristic
700#389C2311yescharacteristic
701#389C2312yes—
702#389C2312yes—
703#389C2312yes—
704#389C2312yes—
705#389C2311yescharacteristic
706#389C2311yescharacteristic
707#389C2312yes—
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#389C2311yescharacteristic
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2311yescharacteristic
733#389C2312yes—
734#389C2312yes—
735#389C2311yescharacteristic
736#389C2311yescharacteristic
737#389C2311yescharacteristic
738#389C2311yescharacteristic
739#389C2311yescharacteristic
740#389C2312yes—
741#389C2311yescharacteristic
742#389C2311yescharacteristic
743#389C2311yescharacteristic
744#389C2312yes—
745#389C2311yescharacteristic
746#389C2311yescharacteristic
747#388C2312yes—
748#388C2312yes—
749#388C2312yes—
750#388C2312yes—
751#388C2312yes—
752#388C2312yes—
753#388C2312yes—
754#388C2312yes—
755#388C2312yes—
756#388C2312yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#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#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
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#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#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
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#384C2311yescharacteristic
992#384C2312yes—
993#383C2312yes—
994#383C2312yes—
995#383C2312yes—
996#383C2312yes—
997#383C2312yes—
998#383C2312yes—
999#383C2312yes—
1000#383C2312yes—
1001#383C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#382C2311yescharacteristic
1005#382C2312yes—
1006#382C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2311yescharacteristic
1012#382C2312yes—
1013#381C2312yes—
1014#381C2312yes—
1015#381C2312yes—
1016#381C2312yes—
1017#381C2312yes—
1018#381C2312yes—
1019#380C2312yes—
1020#380C2312yes—
1021#380C2311yescharacteristic
1022#380C2312yes—
1023#380C2312yes—
1024#380C2311yescharacteristic
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2311yescharacteristic
1030#380C2311yescharacteristic
1031#380C2311yescharacteristic
1032#380C2311yescharacteristic
1033#380C2311yescharacteristic
1034#380C2311yescharacteristic
1035C4×C4⋊C4C2311yescharacteristic
1036C4×C4⋊C4C2312yes—
1037C4×C4⋊C4C2312yes—
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2311yescharacteristic
1042C4×C4⋊C4C2311yescharacteristic
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2311yescharacteristic
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2311yescharacteristic
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2311yescharacteristic
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2311yescharacteristic
1069C4×C4⋊C4C2312yes—
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⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2311yescharacteristic
1084C4×C4⋊C4C2311yescharacteristic
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2311yescharacteristic
1089C4×C4⋊C4C2311yescharacteristic
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2311yescharacteristic
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2311yescharacteristic
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2311yescharacteristic
1098C4×C4⋊C4C2311yescharacteristic
1099C4×C4⋊C4C2312yes—
1100C4×C4⋊C4C2312yes—
1101C4×C22⋊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⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2311yescharacteristic
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2311yescharacteristic
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2311yescharacteristic
1127C4×C22⋊C4C2311yescharacteristic
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2311yescharacteristic
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2311yescharacteristic
1134#376C2312yes—
1135#376C2312yes—
1136#376C2312yes—
1137#376C2312yes—
1138#376C2312yes—
1139#376C2312yes—
1140#376C2312yes—
1141C2×#95C2312yes—
1142C43C2312yes—
1143C43C2312yes—
1144C43C2311yescharacteristic
1145C43C2312yes—
1146C2×#41—42no—
1147C2×#41—42no—
1148C2×#41—81no—
1149C22×Q8C2412yes—
1150C22×Q8C2412yes—
1151C22×Q8C2411yescharacteristic
1152C22×Q8C2412yes—
1153C22×Q8C2411yescharacteristic
1154C22×D4C2411yescharacteristic
1155C22×D4C2411yescharacteristic
1156C22×D4C2412yes—
1157C22×D4C2412yes—
1158C22×D4C2412yes—
1159C22×D4C2412yes—
1160C22×D4C2411yescharacteristic
1161C22×D4C2412yes—
1162C22×D4C2412yes—
1163C23×C4C2412yes—
1164C23×C4C2412yes—
1165C23×C4C2412yes—
1166C23×C4C2411yescharacteristic
1167C23×C4C2412yes—
1168C23×C4C2411yescharacteristic
1169C23×C4C2412yes—
1170C23×C4C2412yes—
1171C23×C4C2411yescharacteristic
1172C23×C4C2411yescharacteristic
1173C23×C4C2411yescharacteristic
1174C23×C4C2412yes—
1175C23×C4C2412yes—
1176C23×C4C2411yescharacteristic
1177C4⋊Q8—28no—
1178C4⋊Q8—24no—
1179#126—28no—
1180#126—28no—
1181#126—28no—
1182#126—28no—
1183#126—28no—
1184#126—28no—
1185#126—28no—
1186#126—44no—
1187#126—82no—
1188#126—82no—
1189#125—28no—
1190#125—28no—
1191#125—28no—
1192#125—28no—
1193#125—24no—
1194#125—44no—
1195#125—81no—
1196#124—28no—
1197#124—28no—
1198#124—28no—
1199#124—28no—
1200#123—28no—
1201#123—28no—
1202#123—28no—
1203#123—44no—
1204#123—82no—
1205#123—82no—
1206C22⋊Q8—24no—
1207C22⋊Q8—24no—
1208C22⋊Q8—28no—
1209C22⋊Q8—28no—
1210C22⋊Q8—28no—
1211C22⋊Q8—28no—
1212C22⋊Q8—42no—
1213#121—24no—
1214#121—24no—
1215#121—28no—
1216#121—81no—
1217C4×Q8—28no—
1218C4×Q8—28no—
1219C4×Q8—28no—
1220C4×Q8—44no—
1221C4×Q8—44no—
1222C4×Q8—42no—
1223C4×Q8—81no—
1224C4×Q8—81no—
1225C4×Q8—81no—
1226C4×Q8—82no—
1227C4×Q8—82no—
1228C4×Q8#4118yescomplemented
1229C4×D4—24no—
1230C4×D4—24no—
1231C4×D4—28no—
1232C4×D4—28no—
1233C4×D4—24no—
1234C4×D4—44no—
1235C4×D4—42no—
1236C4×D4—44no—
1237C4×D4—44no—
1238C4×D4—81no—
1239C4×D4—81no—
1240C4×D4—82no—
1241C4×D4—82no—
1242#117—24no—
1243#117—24no—
1244#117—28no—
1245#117—28no—
1246#117—28no—
1247#117—28no—
1248#117—28no—
1249#117—28no—
1250#117—44no—
1251#117—42no—
1252#117—44no—
1253#117—81no—
1254#117—81no—
1255#117—81no—
1256#117#4118yescomplemented
1257C2×C4⋊C4—28no—
1258C2×C4⋊C4—24no—
1259C2×C4⋊C4—44no—
1260C2×C4⋊C4—44no—
1261C2×C4⋊C4—81no—
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2411yescharacteristic
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2411yescharacteristic
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2411yescharacteristic
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2411yescharacteristic
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2411yescharacteristic
1294C2×C4⋊C4C2411yescharacteristic
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2411yescharacteristic
1312C2×C4⋊C4C2411yescharacteristic
1313C2×C4⋊C4C2411yescharacteristic
1314C2×C4⋊C4C2411yescharacteristic
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2411yescharacteristic
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2411yescharacteristic
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2411yescharacteristic
1343C2×C4⋊C4C2411yescharacteristic
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2411yescharacteristic
1355C2×C4⋊C4C2411yescharacteristic
1356C2×C4⋊C4C2411yescharacteristic
1357C2×C4⋊C4C2412yes—
1358C2×C22⋊C4C2411yescharacteristic
1359C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1374C2×C22⋊C4C2411yescharacteristic
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
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×C42—81no—
1429C2×C42—81no—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2411yescharacteristic
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2411yescharacteristic
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450C2×C42C2411yescharacteristic
1451C2×C42C2412yes—
1452C2×C42C2411yescharacteristic
1453C2×C42C2411yescharacteristic
1454C2×C42C2412yes—
1455C2×C42C2412yes—
1456C2×C42C2412yes—
1457C2×C42C2412yes—
1458C2×C42C2412yes—
1459C2×C42C2412yes—
1460C2×C42C2412yes—
1461C2×C42C2412yes—
1462C2×C42C2411yescharacteristic
1463C2×C42C2411yescharacteristic
1464C2×C42C2411yescharacteristic
1465C2×C42C2412yes—
1466C2×C42C2411yescharacteristic
1467C2×C42C2412yes—
1468C2×C42C2412yes—
1469C2×C42C2412yes—
1470C2×C42C2412yes—
1471C2×C42C2411yescharacteristic
1472C2×C42C2411yescharacteristic
1473C2×C42C2412yes—
1474C2×C42C2411yescharacteristic
1475C2×C42C2412yes—
1476C2×C42C2412yes—
1477C2×C42C2412yes—
1478C2×C42C2412yes—
1479C2×C42C2411yescharacteristic
1480C2×C42C2412yes—
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#95C2411yescharacteristic
1509#95C2411yescharacteristic
1510#95C2412yes—
1511#95C2412yes—
1512#95C2411yescharacteristic
1513#95C2411yescharacteristic
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2411yescharacteristic
1518#95C2411yescharacteristic
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—
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—
1591C24C2512yes—
1592C24C2512yes—
1593C24C2511yescharacteristic
1594C24C2511yescharacteristic
1595#41—88no—
1596C2×Q8—24no—
1597C2×Q8—24no—
1598C2×Q8—24no—
1599C2×Q8—24no—
1600C2×Q8—22no—
1601C2×Q8—42no—
1602C2×Q8—41no—
1603C2×Q8—42no—
1604C2×Q8—41no—
1605C2×Q8—41no—
1606C2×Q8—42no—
1607C2×Q8—41no—
1608C2×Q8—42no—
1609C2×Q8—42no—
1610C2×Q8C2×#4114yes—
1611C2×D4—22no—
1612C2×D4—24no—
1613C2×D4—24no—
1614C2×D4—22no—
1615C2×D4—22no—
1616C2×D4—24no—
1617C2×D4—24no—
1618C2×D4—22no—
1619C2×D4—41no—
1620C2×D4—41no—
1621C2×D4—42no—
1622C2×D4—41no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C2×D4—42no—
1627C2×D4—42no—
1628C2×D4—41no—
1629C2×D4—42no—
1630C2×D4—42no—
1631C2×D4—42no—
1632C2×D4—42no—
1633C2×D4—42no—
1634C2×D4—42no—
1635C2×D4—41no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C22×C4—24no—
1639C22×C4—24no—
1640C22×C4—24no—
1641C22×C4—22no—
1642C22×C4—24no—
1643C22×C4—22no—
1644C22×C4—24no—
1645C22×C4—24no—
1646C22×C4—24no—
1647C22×C4—22no—
1648C22×C4—22no—
1649C22×C4—22no—
1650C22×C4—24no—
1651C22×C4—24no—
1652C22×C4—22no—
1653C22×C4—41no—
1654C22×C4—41no—
1655C22×C4—41no—
1656C22×C4—41no—
1657C22×C4—41no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—41no—
1662C22×C4—41no—
1663C22×C4—41no—
1664C22×C4—41no—
1665C22×C4—41no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—41no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4C2×#4114yes—
1680C22×C4C2511yescharacteristic
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2511yescharacteristic
1685C22×C4C2511yescharacteristic
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2511yescharacteristic
1689C22×C4C2511yescharacteristic
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2511yescharacteristic
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2511yescharacteristic
1709C22×C4C2511yescharacteristic
1710C22×C4C2511yescharacteristic
1711C22×C4C2511yescharacteristic
1712C22×C4C2511yescharacteristic
1713C22×C4C2511yescharacteristic
1714C22×C4C2511yescharacteristic
1715C4⋊C4—24no—
1716C4⋊C4—24no—
1717C4⋊C4—22no—
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—24no—
1721C4⋊C4—22no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—22no—
1725C4⋊C4—24no—
1726C4⋊C4—24no—
1727C4⋊C4—22no—
1728C4⋊C4—24no—
1729C4⋊C4—24no—
1730C4⋊C4—24no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—22no—
1734C4⋊C4—24no—
1735C4⋊C4—24no—
1736C4⋊C4—24no—
1737C4⋊C4—24no—
1738C4⋊C4—24no—
1739C4⋊C4—24no—
1740C4⋊C4—24no—
1741C4⋊C4—24no—
1742C4⋊C4—24no—
1743C4⋊C4—24no—
1744C4⋊C4—24no—
1745C4⋊C4—24no—
1746C4⋊C4—24no—
1747C4⋊C4—24no—
1748C4⋊C4—24no—
1749C4⋊C4—22no—
1750C4⋊C4—24no—
1751C4⋊C4—24no—
1752C4⋊C4—24no—
1753C4⋊C4—24no—
1754C4⋊C4—22no—
1755C4⋊C4—22no—
1756C4⋊C4—24no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—41no—
1762C4⋊C4—41no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—41no—
1767C4⋊C4—41no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—41no—
1778C4⋊C4—41no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—41no—
1782C4⋊C4—41no—
1783C4⋊C4—41no—
1784C4⋊C4—41no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—41no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—41no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4C2×#4114yes—
1808C4⋊C4C2×#4114yes—
1809C4⋊C4C2×#4114yes—
1810C4⋊C4C2×#4118yes—
1811C22⋊C4—24no—
1812C22⋊C4—22no—
1813C22⋊C4—22no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—24no—
1825C22⋊C4—24no—
1826C22⋊C4—22no—
1827C22⋊C4—24no—
1828C22⋊C4—24no—
1829C22⋊C4—24no—
1830C22⋊C4—22no—
1831C22⋊C4—24no—
1832C22⋊C4—24no—
1833C22⋊C4—24no—
1834C22⋊C4—24no—
1835C22⋊C4—24no—
1836C22⋊C4—24no—
1837C22⋊C4—24no—
1838C22⋊C4—22no—
1839C22⋊C4—24no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—41no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
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⋊C4C2×#4118yes—
1881C42—24no—
1882C42—24no—
1883C42—24no—
1884C42—24no—
1885C42—24no—
1886C42—24no—
1887C42—22no—
1888C42—24no—
1889C42—24no—
1890C42—24no—
1891C42—24no—
1892C42—24no—
1893C42—22no—
1894C42—41no—
1895C42—41no—
1896C42—41no—
1897C42—41no—
1898C42—41no—
1899C42—41no—
1900C42—41no—
1901C42—41no—
1902C42—42no—
1903C42—42no—
1904C42—42no—
1905C42—42no—
1906C42—42no—
1907C42—41no—
1908C42—42no—
1909C42—42no—
1910C42—42no—
1911C42—42no—
1912C42—42no—
1913C42—42no—
1914C42—42no—
1915C42—41no—
1916C42—42no—
1917C42—42no—
1918C42—42no—
1919C42—42no—
1920C42—42no—
1921C42—42no—
1922C42—42no—
1923C42—42no—
1924C42—42no—
1925C42—42no—
1926C42—42no—
1927C42—42no—
1928C42—42no—
1929C42C2×#4118yes—
1930C42C2×#4114yes—
1931C42C2×#4118yes—
1932C23—21no—
1933C23—21no—
1934C23—21no—
1935C23—21no—
1936C23—21no—
1937C23—21no—
1938C23—22no—
1939C23—21no—
1940C23—22no—
1941C23—22no—
1942C23—21no—
1943C23—22no—
1944C23—22no—
1945C23—22no—
1946C23—21no—
1947C23—22no—
1948C23—21no—
1949C23—22no—
1950C23—22no—
1951C23—21no—
1952C23—22no—
1953C23—21no—
1954C23—22no—
1955C23—22no—
1956C23—22no—
1957C23—21no—
1958C23—22no—
1959C23C22×#4112yes—
1960C23C2611yescharacteristic
1961Q8—44no—
1962Q8—48no—
1963Q8—48no—
1964Q8—44no—
1965Q8—84no—
1966D4—44no—
1967D4—48no—
1968D4—44no—
1969D4—84no—
1970D4—82no—
1971D4—84no—
1972D4—84no—
1973D4—84no—
1974D4—84no—
1975C2×C4—21no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—21no—
1979C2×C4—22no—
1980C2×C4—21no—
1981C2×C4—21no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—21no—
1985C2×C4—21no—
1986C2×C4—21no—
1987C2×C4—21no—
1988C2×C4—21no—
1989C2×C4—22no—
1990C2×C4—21no—
1991C2×C4—21no—
1992C2×C4—21no—
1993C2×C4—22no—
1994C2×C4—21no—
1995C2×C4—21no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—21no—
1999C2×C4—21no—
2000C2×C4—22no—
2001C2×C4—21no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—21no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—21no—
2020C2×C4—22no—
2021C2×C4—21no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—21no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—21no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—21no—
2037C2×C4—21no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—21no—
2041C2×C4—22no—
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—21no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—21no—
2057C2×C4—22no—
2058C2×C4—21no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—21no—
2064C2×C4—21no—
2065C2×C4—21no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—44no—
2070C2×C4—48no—
2071C2×C4—48no—
2072C2×C4—44no—
2073C2×C4—48no—
2074C2×C4—44no—
2075C2×C4—44no—
2076C2×C4—44no—
2077C2×C4—84no—
2078C2×C4—82no—
2079C2×C4—84no—
2080C2×C4—84no—
2081C2×C4—162no—
2082C2×C4—162no—
2083C2×C4C22×#4114yes—
2084C2×C4C22×#4114yes—
2085C2×C4C22×#4114yes—
2086C2×C4C22×#4114yes—
2087C2×C4C22×#4112yes—
2088C2×C4C22×#4112yes—
2089C2×C4C22×#4112yes—
2090C2×C4C22×#4112yes—
2091C2×C4C22×#4112yes—
2092C2×C4#58512yes—
2093C2×C4#58512yes—
2094C22—22no—
2095C22—22no—
2096C22—22no—
2097C22—41no—
2098C22—41no—
2099C22—41no—
2100C22—41no—
2101C22—41no—
2102C22—42no—
2103C22—42no—
2104C22—42no—
2105C22—42no—
2106C22—41no—
2107C22—42no—
2108C22—42no—
2109C22—41no—
2110C22—41no—
2111C22—42no—
2112C22—42no—
2113C22—41no—
2114C22—42no—
2115C22—42no—
2116C22—41no—
2117C22—42no—
2118C22—42no—
2119C22—42no—
2120C22—42no—
2121C22—41no—
2122C22C23×#4111yescharacteristic
2123C22C23×#4111yescharacteristic
2124C22C2×#58511yescharacteristic
2125C22C2×#58511yescharacteristic
2126C22H(7,𝔽2)11yescharacteristic
2127C222−1+611yescharacteristic
2128C222−1+611yescharacteristic
2129C4—24no—
2130C4—22no—
2131C4—22no—
2132C4—24no—
2133C4—22no—
2134C4—22no—
2135C4—22no—
2136C4—22no—
2137C4—22no—
2138C4—24no—
2139C4—24no—
2140C4—42no—
2141C4—42no—
2142C4—41no—
2143C4—42no—
2144C4—42no—
2145C4—42no—
2146C4—42no—
2147C4—41no—
2148C4—42no—
2149C4—41no—
2150C4—41no—
2151C4—42no—
2152C4—42no—
2153C4—41no—
2154C4—42no—
2155C4—42no—
2156C4—42no—
2157C4—42no—
2158C4—41no—
2159C4—42no—
2160C4—42no—
2161C4—42no—
2162C4—42no—
2163C4—42no—
2164C2—42no—
2165C2—82no—
2166C2—81no—
2167C2—82no—
2168C2#41211yescharacteristic
2169C2#6284511yescharacteristic
2170C2#6285611yescharacteristic
2171C2#6290611yescharacteristic
2172C2#6299511yescharacteristic
2173C2#6300711yescharacteristic
2174C2#6305311yescharacteristic
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. #60046C2semidirect
2. #59966C2semidirect
3. #59889C2semidirect
4. #59877C2semidirect
5. #59873C2semidirect
6. #59791C2semidirect
7. #52290C2semidirect
8. #52280C2semidirect
9. #52274C2semidirect
10. #44750C2semidirect
11. #44678C2semidirect
12. #44633C2semidirect
13. #44622C2semidirect
14. #44384C2semidirect
15. #44224C2semidirect
16. #44208C2semidirect
17. #43414C2semidirect
18. #43170C2semidirect
19. #39843C2semidirect
20. #39838C2semidirect
21. #39835C2semidirect
22. #39829C2semidirect
23. #38815C2semidirect
24. #38804C2semidirect
25. #38803C2semidirect
26. #38801C2semidirect
27. #38439C2semidirect
28. #38435C2semidirect
29. #38431C2semidirect
30. #38427C2semidirect
31. #36401C2semidirect
32. #36395C2semidirect
33. #35960C2semidirect
34. #35955C2semidirect
35. #35933C2semidirect
36. #34322C2semidirect
37. #34321C2semidirect
38. #34318C2semidirect
39. #34314C2semidirect
1228. C4×Q8#41semidirect
1256. #117#41semidirect

Maximal subgroups

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

subgroupindex
#600462
#599662
#598892
#598772
#598732
#597912
#522902
#522802
#522742
#447502
#446782
#446332
#446222
#443842
#442242
#442082
#434142
#431702
#398432
#398382
#398352
#398292
#388152
#388042
#388032
#388012
#384392
#384352
#384312
#384272
#364012
#363952
#359602
#359552
#359332
#343222
#343212
#343182
#343142