Finite Group Databasebeta

← #7895372

Subgroups — #7895372

Order 512.

4678 conjugacy classes of subgroups.

The subgroup lattice has 2249 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59879C211yesmaximal, characteristic, complemented
2#59034C212yesmaximal, complemented
3#52162C211yesmaximal, characteristic, complemented
4#49415C212yesmaximal, complemented
5#49408C212yesmaximal, complemented
6#48980C212yesmaximal, complemented
7#48628C212yesmaximal, complemented
8#48608C212yesmaximal, complemented
9#48055C212yesmaximal, complemented
10#46864C212yesmaximal, complemented
11#46864C212yesmaximal, complemented
12#46289C211yesmaximal, characteristic, complemented
13#46200C211yesmaximal, characteristic, complemented
14#44230C212yesmaximal, complemented
15#43591C212yesmaximal, complemented
16#43589C212yesmaximal, complemented
17#43408C212yesmaximal, complemented
18#43014C212yesmaximal, complemented
19#42025C212yesmaximal, complemented
20#41812C212yesmaximal, complemented
21#41262C212yesmaximal, complemented
22#40679C212yesmaximal, complemented
23#39940C212yesmaximal, complemented
24#39836C212yesmaximal, complemented
25#39829C211yesmaximal, characteristic, complemented
26#39453C211yesmaximal, characteristic, complemented
27#38801C211yesmaximal, characteristic, complemented
28#38780C211yesmaximal, characteristic, complemented
29#38433C211yesmaximal, characteristic, complemented
30#38425C211yesmaximal, characteristic, complemented
31#37708C212yesmaximal, complemented
32#37155C211yesmaximal, characteristic, complemented
33#37155C211yesmaximal, characteristic, complemented
34#36401C211yesmaximal, characteristic, complemented
35#35707C212yesmaximal, complemented
36#35382C212yesmaximal, complemented
37#35207C211yesmaximal, characteristic, complemented
38#34497C212yesmaximal, complemented
39#34323C211yesmaximal, characteristic, complemented
40C2×#553C2211yescharacteristic
41C2×#553C2212yes—
42C2×#547C2212yes—
43C2×#539C2212yes—
44C2×#533C2212yes—
45#2860C2211yescharacteristic
46#2854C2212yes—
47#2854C2211yescharacteristic
48#2854C2211yescharacteristic
49#2854C2211yescharacteristic
50#2851C2211yescharacteristic
51#2851C2211yescharacteristic
52#2851C2211yescharacteristic
53#2839C2212yes—
54#2837C2212yes—
55#2824C2212yes—
56#2824C2212yes—
57#2810C2211yescharacteristic
58#2810C2211yescharacteristic
59#2809C2211yescharacteristic
60#2808C2212yes—
61#2808C2212yes—
62#2791C2212yes—
63#2790C2212yes—
64#2788C2212yes—
65#2788C2212yes—
66#2788C2212yes—
67#2787C2212yes—
68#2786C2212yes—
69#2784C2212yes—
70#2784C2212yes—
71#2783C2212yes—
72#2781C2212yes—
73#2775C2212yes—
74#2775C2212yes—
75#2770C2212yes—
76#2770C2212yes—
77#2769C2212yes—
78#2767C2212yes—
79#2767C2212yes—
80#2756C2212yes—
81#2756C2212yes—
82#2753C2212yes—
83#2750C2212yes—
84#2747C2212yes—
85#2745C2212yes—
86#2739C2212yes—
87#2739C2212yes—
88#2738C2212yes—
89#2737C2212yes—
90#2737C2212yes—
91#2737C2212yes—
92#2737C2212yes—
93#2734C2211yescharacteristic
94#2732C2211yescharacteristic
95#2732C2211yescharacteristic
96#2729C2212yes—
97#2729C2212yes—
98#2729C2212yes—
99#2727C2211yescharacteristic
100#2726C2211yescharacteristic
101#2726C2211yescharacteristic
102#2726C2212yes—
103#2726C2211yescharacteristic
104#2724C2211yescharacteristic
105#2724C2211yescharacteristic
106#2722C2212yes—
107#2720C2212yes—
108#2720C2212yes—
109#2719C2212yes—
110#2719C2212yes—
111#2719C2212yes—
112#2716C2212yes—
113#2716C2212yes—
114#2716C2212yes—
115#2713C2212yes—
116#2707C2212yes—
117#2707C2212yes—
118#2707C2212yes—
119#2706C2212yes—
120#2704C2212yes—
121#2701C2212yes—
122#2701C2212yes—
123#2699C2212yes—
124#2696C2212yes—
125#2696C2212yes—
126#2696C2212yes—
127#2696C2212yes—
128#2696C2212yes—
129#2696C2212yes—
130#2696C2212yes—
131#2695C2212yes—
132#2695C2212yes—
133#2695C2212yes—
134#2693C2212yes—
135#2693C2212yes—
136#2692C2212yes—
137#2691C2212yes—
138#2691C2212yes—
139#2688C2212yes—
140#2688C2212yes—
141#2683C2211yescharacteristic
142#2682C2211yescharacteristic
143#2682C2211yescharacteristic
144#2682C2211yescharacteristic
145#2682C2212yes—
146#2677C2212yes—
147#2675C2212yes—
148#2671C2212yes—
149#2671C2212yes—
150#2671C2212yes—
151#2666C2212yes—
152#2664C2212yes—
153#2663C2212yes—
154#2661C2212yes—
155#2661C2212yes—
156#2653C2212yes—
157#2653C2212yes—
158#2650C2212yes—
159#2650C2212yes—
160#2648C2212yes—
161#2648C2212yes—
162#2639C2212yes—
163#2635C2212yes—
164#2633C2212yes—
165#2630C2212yes—
166#2630C2212yes—
167#2627C2212yes—
168#2611C2212yes—
169#2606C2212yes—
170#2603C2212yes—
171#2602C2212yes—
172#2602C2212yes—
173#2602C2212yes—
174#2602C2212yes—
175#2602C2212yes—
176#2601C2212yes—
177#2599C2212yes—
178#2597C2212yes—
179#2597C2212yes—
180#2596C2212yes—
181#2595C2212yes—
182#2593C2212yes—
183#2589C2212yes—
184#2587C2212yes—
185#2585C2212yes—
186#2583C2212yes—
187#2578C2212yes—
188#2577C2212yes—
189#2577C2212yes—
190#2577C2212yes—
191#2577C2212yes—
192#2576C2212yes—
193#2575C2212yes—
194#2574C2212yes—
195#2573C2212yes—
196#2573C2212yes—
197#2573C2212yes—
198#2572C2212yes—
199#2572C2212yes—
200#2569C2212yes—
201#2569C2212yes—
202#2563C2212yes—
203#2563C2212yes—
204#2563C2211yescharacteristic
205#2563C2211yescharacteristic
206#2559C2212yes—
207#2558C2212yes—
208#2558C2212yes—
209#2554C2212yes—
210#2554C2212yes—
211#2553C2212yes—
212#2553C2212yes—
213#2552C2211yescharacteristic
214#2537C2211yescharacteristic
215#2536C2212yes—
216#2536C2212yes—
217#2532C2212yes—
218#2531C2212yes—
219#2531C2212yes—
220#2530C2212yes—
221#2528C2212yes—
222#2528C2212yes—
223#2527C2212yes—
224#2526C2212yes—
225#2525C2212yes—
226#2525C2212yes—
227#2524C2212yes—
228#2524C2212yes—
229#2524C2212yes—
230#2523C2212yes—
231#2522C2212yes—
232#2522C2212yes—
233#2519C2212yes—
234#2513C2211yescharacteristic
235#2510C2212yes—
236#2509C2212yes—
237#2505C2212yes—
238#2494C2211yescharacteristic
239#2494C2211yescharacteristic
240#2494C2212yes—
241#2493C2212yes—
242#2490C2212yes—
243#2490C2211yescharacteristic
244#2490C2212yes—
245#2490C2211yescharacteristic
246#2490C2211yescharacteristic
247#2490C2212yes—
248#2488C2212yes—
249#2488C2212yes—
250#2488C2212yes—
251#2485C2211yescharacteristic
252#2481C2212yes—
253#2476C2212yes—
254#2475C2212yes—
255#2473C2212yes—
256#2473C2212yes—
257#2473C2212yes—
258#2473C2212yes—
259#2471C2212yes—
260#2470C2212yes—
261#2469C2212yes—
262#2469C2212yes—
263#2468C2212yes—
264#2468C2212yes—
265#2467C2212yes—
266#2467C2212yes—
267#2466C2212yes—
268#2466C2212yes—
269#2464C2212yes—
270#2464C2212yes—
271#2464C2212yes—
272#2464C2212yes—
273#2462C2212yes—
274#2462C2212yes—
275#2460C2212yes—
276#2460C2212yes—
277#2460C2212yes—
278#2460C2212yes—
279#2460C2212yes—
280#2458C2212yes—
281#2458C2212yes—
282#2458C2212yes—
283#2458C2212yes—
284#2458C2212yes—
285#2458C2212yes—
286#2456C2212yes—
287#2456C2212yes—
288#2456C2212yes—
289#2456C2212yes—
290#2453C2212yes—
291#2453C2211yescharacteristic
292#2453C2212yes—
293#2450C2212yes—
294#2450C2212yes—
295#2450C2212yes—
296#2443C2212yes—
297#2443C2212yes—
298#2442C2212yes—
299#2442C2212yes—
300#2430C2212yes—
301#2430C2212yes—
302#2425C2212yes—
303#2422C2212yes—
304#2421C2212yes—
305#2421C2211yescharacteristic
306#2421C2212yes—
307#2419C2212yes—
308#2419C2212yes—
309#2419C2212yes—
310#2414C2212yes—
311#2414C2212yes—
312#2413C2212yes—
313#2413C2212yes—
314#2413C2212yes—
315#2407C2211yescharacteristic
316#2407C2212yes—
317#2407C2212yes—
318#2406C2212yes—
319#2399C2212yes—
320#2398C2212yes—
321#2396C2212yes—
322#2396C2212yes—
323#2388C2212yes—
324#2383C2212yes—
325#2382C2212yes—
326#2377C2212yes—
327#2376C2212yes—
328#2374C2212yes—
329#2374C2212yes—
330#2374C2212yes—
331#2373C2212yes—
332#2373C2212yes—
333#2373C2212yes—
334#2370C2211yescharacteristic
335#2368C2212yes—
336#2365C2212yes—
337#2364C2212yes—
338#2364C2212yes—
339#2363C2211yescharacteristic
340#2361C2212yes—
341#2361C2211yescharacteristic
342#2361C2212yes—
343#2359C2212yes—
344#2359C2212yes—
345#2352C2212yes—
346#2352C2211yescharacteristic
347#2352C2212yes—
348#2349C2211yescharacteristic
349#2349C2212yes—
350D4×C4⋊C4C2212yes—
351#2347C2211yescharacteristic
352#2346C2211yescharacteristic
353#2345C2211yescharacteristic
354#2345C2212yes—
355#2343C2212yes—
356#2341C2211yescharacteristic
357#2341C2212yes—
358#2336C2212yes—
359#2335C2212yes—
360#2335C2212yes—
361#2334C2212yes—
362#2334C2212yes—
363#2334C2212yes—
364#2329C2212yes—
365#2325C2212yes—
366#2325C2212yes—
367#2325C2212yes—
368#2325C2212yes—
369#2324C2212yes—
370#2322C2212yes—
371#2322C2212yes—
372#2322C2212yes—
373#2318C2212yes—
374#2318C2212yes—
375#2318C2212yes—
376#2314C2212yes—
377C4×C4⋊Q8C2211yescharacteristic
378C4×#125C2211yescharacteristic
379C4×C22⋊Q8C2211yescharacteristic
380C4×C22⋊Q8C2212yes—
381C4×#121C2212yes—
382C4×#121C2211yescharacteristic
383C4×#121C2211yescharacteristic
384C4×#121C2212yes—
385#2297C2211yescharacteristic
386#2296C2211yescharacteristic
387#2295C2211yescharacteristic
388#2293C2211yescharacteristic
389#2293C2211yescharacteristic
390C2×#389C2211yescharacteristic
391#2290C2212yes—
392C2×#387C2212yes—
393#2275C2212yes—
394C42×D4C2211yescharacteristic
395C22×#41C2311yescharacteristic
396C22×#41C2312yes—
397#553—216no—
398#553—28no—
399#547—48no—
400#539—48no—
401#533—48no—
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2311yescharacteristic
404C2×C4⋊Q8C2312yes—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#125C2311yescharacteristic
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#125C2312yes—
417C2×#125C2311yescharacteristic
418C2×#125C2311yescharacteristic
419C2×#125C2311yescharacteristic
420C2×#125C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×#123C2312yes—
435C2×#123C2312yes—
436C2×#123C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2311yescharacteristic
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2311yescharacteristic
450C2×#121C2311yescharacteristic
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2311yescharacteristic
458C2×#121C2311yescharacteristic
459C2×#121C2311yescharacteristic
460C2×#121C2312yes—
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×#117C2312yes—
489C2×#117C2311yescharacteristic
490C2×#117C2311yescharacteristic
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2311yescharacteristic
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2311yescharacteristic
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2311yescharacteristic
500C22×C42C2312yes—
501C22×C42C2311yescharacteristic
502C22×C42C2311yescharacteristic
503#401C2312yes—
504#401C2312yes—
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#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2312yes—
533#400C2312yes—
534#400C2312yes—
535#400C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
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#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
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#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#394C2312yes—
632#394C2312yes—
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#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#393C2312yes—
663#393C2312yes—
664#393C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#393C2312yes—
669#393C2312yes—
670#393C2312yes—
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#393C2312yes—
677#393C2312yes—
678#392C2312yes—
679#392C2312yes—
680#392C2312yes—
681#392C2312yes—
682#392C2312yes—
683#392C2312yes—
684#392C2312yes—
685#392C2312yes—
686#392C2312yes—
687#392C2312yes—
688#392C2312yes—
689#392C2312yes—
690#392C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2311yescharacteristic
696#391C2312yes—
697#391C2311yescharacteristic
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2311yescharacteristic
702#390C2312yes—
703#390C2312yes—
704#390C2312yes—
705#390C2311yescharacteristic
706#390C2311yescharacteristic
707#390C2312yes—
708#390C2312yes—
709#390C2312yes—
710#390C2312yes—
711#390C2312yes—
712#390C2312yes—
713#390C2312yes—
714#390C2312yes—
715#390C2311yescharacteristic
716#390C2311yescharacteristic
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2311yescharacteristic
721#390C2311yescharacteristic
722#390C2312yes—
723#390C2312yes—
724#390C2311yescharacteristic
725#390C2311yescharacteristic
726#390C2311yescharacteristic
727#390C2312yes—
728#390C2311yescharacteristic
729#390C2311yescharacteristic
730#389C2311yescharacteristic
731#389C2311yescharacteristic
732#389C2311yescharacteristic
733#389C2311yescharacteristic
734#389C2312yes—
735#389C2311yescharacteristic
736#389C2312yes—
737#389C2312yes—
738#389C2311yescharacteristic
739#389C2311yescharacteristic
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2311yescharacteristic
744#389C2311yescharacteristic
745#389C2312yes—
746#389C2312yes—
747#389C2311yescharacteristic
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2311yescharacteristic
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2311yescharacteristic
759#389C2312yes—
760#389C2311yescharacteristic
761#389C2311yescharacteristic
762#389C2311yescharacteristic
763#389C2312yes—
764#389C2311yescharacteristic
765#389C2311yescharacteristic
766#389C2312yes—
767#389C2311yescharacteristic
768#389C2311yescharacteristic
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2311yescharacteristic
775#389C2312yes—
776#389C2312yes—
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#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#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
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#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#384C2311yescharacteristic
1016#384C2312yes—
1017#383C2312yes—
1018#383C2312yes—
1019#383C2312yes—
1020#383C2312yes—
1021#383C2312yes—
1022#383C2312yes—
1023#383C2312yes—
1024#382C2311yescharacteristic
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#382C2311yescharacteristic
1030#382C2311yescharacteristic
1031#382C2312yes—
1032#382C2312yes—
1033#382C2312yes—
1034#382C2311yescharacteristic
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#380C2311yescharacteristic
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2311yescharacteristic
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2311yescharacteristic
1054#380C2311yescharacteristic
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2311yescharacteristic
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2311yescharacteristic
1067#380C2311yescharacteristic
1068#380C2311yescharacteristic
1069#380C2312yes—
1070#380C2311yescharacteristic
1071#380C2311yescharacteristic
1072#380C2311yescharacteristic
1073#380C2311yescharacteristic
1074#380C2312yes—
1075#380C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2311yescharacteristic
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2311yescharacteristic
1082C4×C4⋊C4C2311yescharacteristic
1083C4×C4⋊C4C2311yescharacteristic
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2311yescharacteristic
1087C4×C4⋊C4C2311yescharacteristic
1088C4×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2312yes—
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2312yes—
1100C4×C4⋊C4C2311yescharacteristic
1101C4×C4⋊C4C2311yescharacteristic
1102C4×C4⋊C4C2311yescharacteristic
1103C4×C4⋊C4C2311yescharacteristic
1104C4×C4⋊C4C2311yescharacteristic
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⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2311yescharacteristic
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2311yescharacteristic
1126C4×C22⋊C4C2311yescharacteristic
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2311yescharacteristic
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2311yescharacteristic
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2311yescharacteristic
1134C4×C22⋊C4C2312yes—
1135C4×C22⋊C4C2312yes—
1136C4×C22⋊C4C2312yes—
1137#376C2312yes—
1138#376C2312yes—
1139#376C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C2×#95C2312yes—
1144C2×#95C2312yes—
1145C2×#95C2312yes—
1146C43C2311yescharacteristic
1147C2×#41—24no—
1148C2×#41—42no—
1149C2×#41—44no—
1150C2×#41—44no—
1151C2×#41—81no—
1152C2×#41—82no—
1153C22×Q8C2412yes—
1154C22×Q8C2412yes—
1155C22×Q8C2412yes—
1156C22×Q8C2411yescharacteristic
1157C22×D4C2411yescharacteristic
1158C22×D4C2412yes—
1159C22×D4C2412yes—
1160C22×D4C2412yes—
1161C22×D4C2412yes—
1162C22×D4C2412yes—
1163C22×D4C2412yes—
1164C22×D4C2412yes—
1165C22×D4C2412yes—
1166C22×D4C2411yescharacteristic
1167C22×D4C2412yes—
1168C22×D4C2411yescharacteristic
1169C22×D4C2412yes—
1170C22×D4C2412yes—
1171C22×D4C2412yes—
1172C22×D4C2411yescharacteristic
1173C23×C4C2411yescharacteristic
1174C23×C4C2412yes—
1175C23×C4C2412yes—
1176C23×C4C2411yescharacteristic
1177C23×C4C2412yes—
1178C23×C4C2412yes—
1179C23×C4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2411yescharacteristic
1183C23×C4C2412yes—
1184C23×C4C2411yescharacteristic
1185C23×C4C2411yescharacteristic
1186C23×C4C2412yes—
1187C23×C4C2411yescharacteristic
1188C23×C4C2412yes—
1189C23×C4C2412yes—
1190C23×C4C2412yes—
1191C23×C4C2412yes—
1192C23×C4C2412yes—
1193C23×C4C2412yes—
1194C4⋊Q8—28no—
1195C4⋊Q8—42no—
1196C4⋊Q8—44no—
1197#126—28no—
1198#126—28no—
1199#126—28no—
1200#126—44no—
1201#126—44no—
1202#126—44no—
1203#125—28no—
1204#125—24no—
1205#125—44no—
1206#125—44no—
1207#125—44no—
1208#125—44no—
1209#125—81no—
1210#125—81no—
1211#125—81no—
1212#125—82no—
1213#123—28no—
1214#123—28no—
1215#123—28no—
1216#123—44no—
1217#123—44no—
1218#123—44no—
1219#123—44no—
1220#123—44no—
1221#123—44no—
1222#123—44no—
1223#123—44no—
1224#123—44no—
1225#123—44no—
1226#123—44no—
1227#123—44no—
1228#123—44no—
1229C22⋊Q8—28no—
1230C22⋊Q8—24no—
1231C22⋊Q8—28no—
1232C22⋊Q8—44no—
1233C22⋊Q8—44no—
1234C22⋊Q8—44no—
1235C22⋊Q8—44no—
1236C22⋊Q8—44no—
1237#121—24no—
1238#121—28no—
1239#121—24no—
1240#121—28no—
1241#121—28no—
1242#121—28no—
1243#121—28no—
1244#121—44no—
1245#121—44no—
1246#121—44no—
1247#121—44no—
1248#121—44no—
1249#121—82no—
1250#121—81no—
1251#121—81no—
1252#121—81no—
1253C4×Q8—24no—
1254C4×Q8—44no—
1255C4×Q8—44no—
1256C4×Q8—44no—
1257C4×Q8—81no—
1258C4×Q8—82no—
1259C4×D4—28no—
1260C4×D4—28no—
1261C4×D4—28no—
1262C4×D4—28no—
1263C4×D4—24no—
1264C4×D4—42no—
1265C4×D4—44no—
1266C4×D4—42no—
1267C4×D4—44no—
1268C4×D4—44no—
1269C4×D4—44no—
1270C4×D4—44no—
1271C4×D4—42no—
1272C4×D4—44no—
1273C4×D4—81no—
1274C4×D4—81no—
1275C4×D4—82no—
1276C4×D4—82no—
1277C4×D4—82no—
1278C4×D4—82no—
1279C4×D4#4118yescomplemented
1280#117—24no—
1281#117—28no—
1282#117—44no—
1283#117—44no—
1284#117—42no—
1285#117—81no—
1286C2×C4⋊C4—28no—
1287C2×C4⋊C4—24no—
1288C2×C4⋊C4—44no—
1289C2×C4⋊C4—44no—
1290C2×C4⋊C4—44no—
1291C2×C4⋊C4—81no—
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⋊C4C2412yes—
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2411yescharacteristic
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2411yescharacteristic
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2411yescharacteristic
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2411yescharacteristic
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2411yescharacteristic
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2411yescharacteristic
1344C2×C4⋊C4C2411yescharacteristic
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2411yescharacteristic
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2411yescharacteristic
1356C2×C4⋊C4C2411yescharacteristic
1357C2×C4⋊C4C2411yescharacteristic
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2411yescharacteristic
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2411yescharacteristic
1377C2×C4⋊C4C2411yescharacteristic
1378C2×C4⋊C4C2412yes—
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2412yes—
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2411yescharacteristic
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2411yescharacteristic
1390C2×C22⋊C4C2411yescharacteristic
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2411yescharacteristic
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2411yescharacteristic
1426C2×C22⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1443C2×C22⋊C4C2412yes—
1444C2×C22⋊C4C2412yes—
1445C2×C22⋊C4C2412yes—
1446C2×C22⋊C4C2412yes—
1447C2×C22⋊C4C2412yes—
1448C2×C22⋊C4C2412yes—
1449C2×C22⋊C4C2412yes—
1450C2×C22⋊C4C2412yes—
1451C2×C22⋊C4C2412yes—
1452C2×C22⋊C4C2412yes—
1453C2×C22⋊C4C2412yes—
1454C2×C22⋊C4C2412yes—
1455C2×C22⋊C4C2412yes—
1456C2×C22⋊C4C2412yes—
1457C2×C22⋊C4C2412yes—
1458C2×C22⋊C4C2412yes—
1459C2×C22⋊C4C2412yes—
1460C2×C22⋊C4C2412yes—
1461C2×C22⋊C4C2412yes—
1462C2×C22⋊C4C2412yes—
1463C2×C22⋊C4C2412yes—
1464C2×C42—44no—
1465C2×C42—81no—
1466C2×C42—81no—
1467C2×C42C2411yescharacteristic
1468C2×C42C2412yes—
1469C2×C42C2412yes—
1470C2×C42C2412yes—
1471C2×C42C2412yes—
1472C2×C42C2412yes—
1473C2×C42C2411yescharacteristic
1474C2×C42C2412yes—
1475C2×C42C2412yes—
1476C2×C42C2412yes—
1477C2×C42C2412yes—
1478C2×C42C2412yes—
1479C2×C42C2412yes—
1480C2×C42C2412yes—
1481C2×C42C2412yes—
1482C2×C42C2412yes—
1483C2×C42C2412yes—
1484C2×C42C2411yescharacteristic
1485C2×C42C2412yes—
1486C2×C42C2412yes—
1487C2×C42C2411yescharacteristic
1488C2×C42C2411yescharacteristic
1489C2×C42C2412yes—
1490C2×C42C2411yescharacteristic
1491C2×C42C2412yes—
1492C2×C42C2411yescharacteristic
1493C2×C42C2411yescharacteristic
1494C2×C42C2411yescharacteristic
1495C2×C42C2412yes—
1496C2×C42C2411yescharacteristic
1497C2×C42C2411yescharacteristic
1498C2×C42C2411yescharacteristic
1499C2×C42C2412yes—
1500C2×C42C2412yes—
1501C2×C42C2412yes—
1502C2×C42C2411yescharacteristic
1503#95C2412yes—
1504#95C2411yescharacteristic
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#95C2411yescharacteristic
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2411yescharacteristic
1536#95C2411yescharacteristic
1537#95C2411yescharacteristic
1538#95C2412yes—
1539#95C2412yes—
1540#95C2411yescharacteristic
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—
1604#95C2412yes—
1605#95C2412yes—
1606#95C2412yes—
1607#95C2412yes—
1608#95C2412yes—
1609C24C2511yescharacteristic
1610C24C2512yes—
1611C24C2512yes—
1612C24C2512yes—
1613C24C2511yescharacteristic
1614#41—88no—
1615#41—816no—
1616C2×Q8—24no—
1617C2×Q8—41no—
1618C2×Q8—42no—
1619C2×Q8—41no—
1620C2×Q8—42no—
1621C2×Q8—42no—
1622C2×Q8—42no—
1623C2×Q8—42no—
1624C2×Q8—42no—
1625C2×Q8—42no—
1626C2×Q8—42no—
1627C2×Q8H(5,𝔽2)14yes—
1628C2×D4—24no—
1629C2×D4—24no—
1630C2×D4—24no—
1631C2×D4—22no—
1632C2×D4—24no—
1633C2×D4—24no—
1634C2×D4—24no—
1635C2×D4—24no—
1636C2×D4—24no—
1637C2×D4—24no—
1638C2×D4—22no—
1639C2×D4—24no—
1640C2×D4—24no—
1641C2×D4—22no—
1642C2×D4—22no—
1643C2×D4—41no—
1644C2×D4—42no—
1645C2×D4—41no—
1646C2×D4—42no—
1647C2×D4—42no—
1648C2×D4—41no—
1649C2×D4—42no—
1650C2×D4—42no—
1651C2×D4—42no—
1652C2×D4—42no—
1653C2×D4—42no—
1654C2×D4—42no—
1655C2×D4—42no—
1656C2×D4—42no—
1657C2×D4—42no—
1658C2×D4—41no—
1659C2×D4—41no—
1660C2×D4—42no—
1661C2×D4—42no—
1662C2×D4—42no—
1663C2×D4—41no—
1664C2×D4—42no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—41no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4C2×#4114yes—
1676C22×C4—22no—
1677C22×C4—24no—
1678C22×C4—24no—
1679C22×C4—24no—
1680C22×C4—22no—
1681C22×C4—22no—
1682C22×C4—22no—
1683C22×C4—24no—
1684C22×C4—24no—
1685C22×C4—24no—
1686C22×C4—24no—
1687C22×C4—24no—
1688C22×C4—22no—
1689C22×C4—24no—
1690C22×C4—22no—
1691C22×C4—22no—
1692C22×C4—42no—
1693C22×C4—41no—
1694C22×C4—41no—
1695C22×C4—41no—
1696C22×C4—42no—
1697C22×C4—41no—
1698C22×C4—41no—
1699C22×C4—42no—
1700C22×C4—41no—
1701C22×C4—41no—
1702C22×C4—41no—
1703C22×C4—42no—
1704C22×C4—42no—
1705C22×C4—42no—
1706C22×C4—42no—
1707C22×C4—42no—
1708C22×C4—42no—
1709C22×C4—42no—
1710C22×C4—41no—
1711C22×C4—42no—
1712C22×C4—42no—
1713C22×C4—42no—
1714C22×C4—42no—
1715C22×C4—42no—
1716C22×C4—42no—
1717C22×C4—42no—
1718C22×C4—42no—
1719C22×C4—42no—
1720C22×C4—41no—
1721C22×C4—41no—
1722C22×C4—42no—
1723C22×C4—42no—
1724C22×C4—42no—
1725C22×C4—42no—
1726C22×C4—42no—
1727C22×C4—42no—
1728C22×C4—42no—
1729C22×C4—42no—
1730C22×C4—42no—
1731C22×C4—42no—
1732C22×C4—42no—
1733C22×C4—42no—
1734C22×C4—42no—
1735C22×C4—42no—
1736C22×C4—42no—
1737C22×C4—42no—
1738C22×C4C2×#4118yes—
1739C22×C4C2511yescharacteristic
1740C22×C4C2512yes—
1741C22×C4C2511yescharacteristic
1742C22×C4C2512yes—
1743C22×C4C2512yes—
1744C22×C4C2512yes—
1745C22×C4C2512yes—
1746C22×C4C2511yescharacteristic
1747C22×C4C2511yescharacteristic
1748C22×C4C2511yescharacteristic
1749C22×C4C2512yes—
1750C22×C4C2512yes—
1751C22×C4C2512yes—
1752C22×C4C2512yes—
1753C22×C4C2512yes—
1754C22×C4C2511yescharacteristic
1755C22×C4C2512yes—
1756C22×C4C2512yes—
1757C22×C4C2512yes—
1758C22×C4C2512yes—
1759C22×C4C2511yescharacteristic
1760C22×C4C2511yescharacteristic
1761C22×C4C2512yes—
1762C22×C4C2512yes—
1763C22×C4C2512yes—
1764C22×C4C2512yes—
1765C22×C4C2512yes—
1766C22×C4C2511yescharacteristic
1767C22×C4C2511yescharacteristic
1768C22×C4C2512yes—
1769C22×C4C2511yescharacteristic
1770C22×C4C2512yes—
1771C22×C4C2511yescharacteristic
1772C22×C4C2511yescharacteristic
1773C4⋊C4—24no—
1774C4⋊C4—24no—
1775C4⋊C4—22no—
1776C4⋊C4—24no—
1777C4⋊C4—24no—
1778C4⋊C4—24no—
1779C4⋊C4—22no—
1780C4⋊C4—24no—
1781C4⋊C4—24no—
1782C4⋊C4—24no—
1783C4⋊C4—22no—
1784C4⋊C4—24no—
1785C4⋊C4—24no—
1786C4⋊C4—24no—
1787C4⋊C4—24no—
1788C4⋊C4—24no—
1789C4⋊C4—24no—
1790C4⋊C4—24no—
1791C4⋊C4—24no—
1792C4⋊C4—24no—
1793C4⋊C4—24no—
1794C4⋊C4—22no—
1795C4⋊C4—24no—
1796C4⋊C4—24no—
1797C4⋊C4—24no—
1798C4⋊C4—24no—
1799C4⋊C4—24no—
1800C4⋊C4—24no—
1801C4⋊C4—22no—
1802C4⋊C4—22no—
1803C4⋊C4—24no—
1804C4⋊C4—22no—
1805C4⋊C4—24no—
1806C4⋊C4—22no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—42no—
1812C4⋊C4—41no—
1813C4⋊C4—41no—
1814C4⋊C4—42no—
1815C4⋊C4—41no—
1816C4⋊C4—41no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—41no—
1823C4⋊C4—41no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—41no—
1827C4⋊C4—41no—
1828C4⋊C4—41no—
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⋊C4—42no—
1839C4⋊C4—41no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—41no—
1846C4⋊C4—41no—
1847C4⋊C4—41no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4—42no—
1854C4⋊C4—42no—
1855C4⋊C4—42no—
1856C4⋊C4—42no—
1857C4⋊C4—42no—
1858C4⋊C4—41no—
1859C4⋊C4—42no—
1860C4⋊C4—42no—
1861C4⋊C4—42no—
1862C4⋊C4—42no—
1863C4⋊C4C2×#4114yes—
1864C22⋊C4—24no—
1865C22⋊C4—24no—
1866C22⋊C4—24no—
1867C22⋊C4—24no—
1868C22⋊C4—24no—
1869C22⋊C4—22no—
1870C22⋊C4—24no—
1871C22⋊C4—24no—
1872C22⋊C4—24no—
1873C22⋊C4—24no—
1874C22⋊C4—22no—
1875C22⋊C4—24no—
1876C22⋊C4—24no—
1877C22⋊C4—24no—
1878C22⋊C4—22no—
1879C22⋊C4—24no—
1880C22⋊C4—24no—
1881C22⋊C4—24no—
1882C22⋊C4—24no—
1883C22⋊C4—24no—
1884C22⋊C4—24no—
1885C22⋊C4—24no—
1886C22⋊C4—24no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—42no—
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—41no—
1908C22⋊C4—41no—
1909C22⋊C4—42no—
1910C22⋊C4—41no—
1911C22⋊C4—42no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4—42no—
1915C22⋊C4—42no—
1916C22⋊C4—42no—
1917C22⋊C4—42no—
1918C22⋊C4—42no—
1919C22⋊C4—42no—
1920C22⋊C4—42no—
1921C22⋊C4—42no—
1922C22⋊C4—42no—
1923C22⋊C4—42no—
1924C22⋊C4—42no—
1925C22⋊C4—42no—
1926C22⋊C4—42no—
1927C22⋊C4—42no—
1928C22⋊C4—42no—
1929C22⋊C4—42no—
1930C22⋊C4—42no—
1931C22⋊C4—42no—
1932C22⋊C4—42no—
1933C22⋊C4—42no—
1934C22⋊C4—42no—
1935C22⋊C4—42no—
1936C22⋊C4—42no—
1937C22⋊C4—42no—
1938C22⋊C4—42no—
1939C22⋊C4—42no—
1940C22⋊C4—42no—
1941C22⋊C4—42no—
1942C22⋊C4—42no—
1943C22⋊C4—42no—
1944C22⋊C4C2×#4118yes—
1945C42—24no—
1946C42—24no—
1947C42—24no—
1948C42—24no—
1949C42—24no—
1950C42—22no—
1951C42—22no—
1952C42—42no—
1953C42—42no—
1954C42—41no—
1955C42—41no—
1956C42—41no—
1957C42—41no—
1958C42—41no—
1959C42—41no—
1960C42—41no—
1961C42—41no—
1962C42—42no—
1963C42—41no—
1964C42—42no—
1965C42—42no—
1966C42—42no—
1967C42—42no—
1968C42—42no—
1969C42—42no—
1970C42—41no—
1971C42—42no—
1972C42—42no—
1973C42—42no—
1974C42—42no—
1975C42—42no—
1976C42—42no—
1977C42—42no—
1978C42—42no—
1979C42—42no—
1980C42C2×#4114yes—
1981C23—21no—
1982C23—22no—
1983C23—21no—
1984C23—22no—
1985C23—21no—
1986C23—22no—
1987C23—22no—
1988C23—21no—
1989C23—21no—
1990C23—21no—
1991C23—22no—
1992C23—22no—
1993C23—22no—
1994C23—22no—
1995C23—21no—
1996C23—21no—
1997C23—22no—
1998C23—22no—
1999C23—22no—
2000C23—22no—
2001C23—21no—
2002C23—21no—
2003C23—22no—
2004C23—22no—
2005C23—21no—
2006C23—22no—
2007C23—22no—
2008C23—21no—
2009C23—22no—
2010C23—22no—
2011C23—22no—
2012C23—22no—
2013C23—21no—
2014C23C22×#4114yes—
2015C23#58512yes—
2016C23C2611yescharacteristic
2017Q8—44no—
2018Q8—48no—
2019Q8—84no—
2020Q8—84no—
2021D4—44no—
2022D4—44no—
2023D4—48no—
2024D4—48no—
2025D4—48no—
2026D4—48no—
2027D4—84no—
2028D4—82no—
2029D4—82no—
2030D4—84no—
2031D4—84no—
2032D4—84no—
2033D4—84no—
2034D4—84no—
2035D4—162no—
2036D4—162no—
2037C2×C4—21no—
2038C2×C4—22no—
2039C2×C4—21no—
2040C2×C4—21no—
2041C2×C4—21no—
2042C2×C4—22no—
2043C2×C4—21no—
2044C2×C4—21no—
2045C2×C4—21no—
2046C2×C4—22no—
2047C2×C4—21no—
2048C2×C4—21no—
2049C2×C4—21no—
2050C2×C4—22no—
2051C2×C4—21no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—21no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—21no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—21no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—21no—
2075C2×C4—21no—
2076C2×C4—21no—
2077C2×C4—21no—
2078C2×C4—21no—
2079C2×C4—22no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—21no—
2091C2×C4—22no—
2092C2×C4—21no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—22no—
2098C2×C4—21no—
2099C2×C4—21no—
2100C2×C4—22no—
2101C2×C4—21no—
2102C2×C4—21no—
2103C2×C4—21no—
2104C2×C4—21no—
2105C2×C4—22no—
2106C2×C4—22no—
2107C2×C4—22no—
2108C2×C4—22no—
2109C2×C4—22no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—21no—
2113C2×C4—22no—
2114C2×C4—21no—
2115C2×C4—21no—
2116C2×C4—22no—
2117C2×C4—21no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—21no—
2122C2×C4—21no—
2123C2×C4—22no—
2124C2×C4—22no—
2125C2×C4—22no—
2126C2×C4—22no—
2127C2×C4—22no—
2128C2×C4—22no—
2129C2×C4—21no—
2130C2×C4—22no—
2131C2×C4—22no—
2132C2×C4—48no—
2133C2×C4—44no—
2134C2×C4—44no—
2135C2×C4—44no—
2136C2×C4—84no—
2137C2×C4—84no—
2138C2×C4—84no—
2139C2×C4—82no—
2140C2×C4—82no—
2141C2×C4—82no—
2142C2×C4—84no—
2143C2×C4—84no—
2144C2×C4—84no—
2145C2×C4—84no—
2146C2×C4—84no—
2147C2×C4—84no—
2148C2×C4—84no—
2149C2×C4—84no—
2150C2×C4—162no—
2151C2×C4—162no—
2152C2×C4—162no—
2153C2×C4C22×#4112yes—
2154C2×C4C22×#4114yes—
2155C2×C4C22×#4112yes—
2156C2×C4C22×#4112yes—
2157C2×C4C2×H(5,𝔽2)14yes—
2158C2×C4C2×H(5,𝔽2)12yes—
2159C2×C4#58512yes—
2160C22—24no—
2161C22—22no—
2162C22—24no—
2163C22—22no—
2164C22—24no—
2165C22—22no—
2166C22—41no—
2167C22—42no—
2168C22—41no—
2169C22—41no—
2170C22—42no—
2171C22—42no—
2172C22—42no—
2173C22—41no—
2174C22—42no—
2175C22—42no—
2176C22—41no—
2177C22—41no—
2178C22—42no—
2179C22—42no—
2180C22—42no—
2181C22—41no—
2182C22—42no—
2183C22—41no—
2184C22—42no—
2185C22—42no—
2186C22—41no—
2187C22—42no—
2188C22—42no—
2189C22—42no—
2190C22—42no—
2191C22—41no—
2192C22—41no—
2193C22—42no—
2194C22—42no—
2195C22C23×#4111yescharacteristic
2196C22C22×H(5,𝔽2)11yescharacteristic
2197C22C2×#58511yescharacteristic
2198C22C2×#58511yescharacteristic
2199C22H(7,𝔽2)11yescharacteristic
2200C222−1+611yescharacteristic
2201C222−1+611yescharacteristic
2202C4—22no—
2203C4—24no—
2204C4—22no—
2205C4—22no—
2206C4—22no—
2207C4—22no—
2208C4—24no—
2209C4—42no—
2210C4—42no—
2211C4—42no—
2212C4—41no—
2213C4—42no—
2214C4—42no—
2215C4—42no—
2216C4—42no—
2217C4—41no—
2218C4—41no—
2219C4—42no—
2220C4—42no—
2221C4—41no—
2222C4—41no—
2223C4—42no—
2224C4—42no—
2225C4—41no—
2226C4—42no—
2227C4—41no—
2228C4—42no—
2229C4—42no—
2230C4—42no—
2231C4—42no—
2232C4—42no—
2233C4—42no—
2234C4—42no—
2235C4—41no—
2236C2—44no—
2237C2—42no—
2238C2—82no—
2239C2—82no—
2240C2—81no—
2241C2#6281611yescharacteristic
2242C2#6284511yescharacteristic
2243C2#6287211yescharacteristic
2244C2#6290011yescharacteristic
2245C2#6292211yescharacteristic
2246C2#6298411yescharacteristic
2247C2#6306811yescharacteristic
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. #59879C2semidirect
2. #59034C2semidirect
3. #52162C2semidirect
4. #49415C2semidirect
5. #49408C2semidirect
6. #48980C2semidirect
7. #48628C2semidirect
8. #48608C2semidirect
9. #48055C2semidirect
10. #46864C2semidirect
11. #46864C2semidirect
12. #46289C2semidirect
13. #46200C2semidirect
14. #44230C2semidirect
15. #43591C2semidirect
16. #43589C2semidirect
17. #43408C2semidirect
18. #43014C2semidirect
19. #42025C2semidirect
20. #41812C2semidirect
21. #41262C2semidirect
22. #40679C2semidirect
23. #39940C2semidirect
24. #39836C2semidirect
25. #39829C2semidirect
26. #39453C2semidirect
27. #38801C2semidirect
28. #38780C2semidirect
29. #38433C2semidirect
30. #38425C2semidirect
31. #37708C2semidirect
32. #37155C2semidirect
33. #37155C2semidirect
34. #36401C2semidirect
35. #35707C2semidirect
36. #35382C2semidirect
37. #35207C2semidirect
38. #34497C2semidirect
39. #34323C2semidirect
1279. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#598792
#590342
#521622
#494152
#494082
#489802
#486282
#486082
#480552
#468642
#462892
#462002
#442302
#435912
#435892
#434082
#430142
#420252
#418122
#412622
#406792
#399402
#398362
#398292
#394532
#388012
#387802
#384332
#384252
#377082
#371552
#364012
#357072
#353822
#352072
#344972
#343232