Finite Group Databasebeta

← #7711590

Subgroups — #7711590

Order 512.

4808 conjugacy classes of subgroups.

The subgroup lattice has 2237 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59932C212yesmaximal, complemented
2#59887C212yesmaximal, complemented
3#59106C212yesmaximal, complemented
4#59088C212yesmaximal, complemented
5#46041C212yesmaximal, complemented
6#46040C212yesmaximal, complemented
7#45835C212yesmaximal, complemented
8#45834C212yesmaximal, complemented
9#40331C212yesmaximal, complemented
10#40298C212yesmaximal, complemented
11#38834C212yesmaximal, complemented
12#38775C212yesmaximal, complemented
13#38751C212yesmaximal, complemented
14#38718C212yesmaximal, complemented
15#38597C212yesmaximal, complemented
16#38596C212yesmaximal, complemented
17#38495C211yesmaximal, characteristic, complemented
18#38494C211yesmaximal, characteristic, complemented
19#38486C211yesmaximal, characteristic, complemented
20#38484C211yesmaximal, characteristic, complemented
21#38453C211yesmaximal, characteristic, complemented
22#38452C211yesmaximal, characteristic, complemented
23#38427C211yesmaximal, characteristic, complemented
24#38425C211yesmaximal, characteristic, complemented
25#37584C212yesmaximal, complemented
26#37196C211yesmaximal, characteristic, complemented
27#37192C211yesmaximal, characteristic, complemented
28#37145C211yesmaximal, characteristic, complemented
29#37143C211yesmaximal, characteristic, complemented
30#36641C211yesmaximal, characteristic, complemented
31#36631C211yesmaximal, characteristic, complemented
32#36522C212yesmaximal, complemented
33#36424C212yesmaximal, complemented
34#36353C212yesmaximal, complemented
35#36350C212yesmaximal, complemented
36#35243C212yesmaximal, complemented
37#35058C212yesmaximal, complemented
38#34453C212yesmaximal, complemented
39C2×#2295C211yesmaximal, characteristic, complemented
40C2×#552C2212yes—
41C2×#547C2212yes—
42C2×#542C2212yes—
43C2×#529C2212yes—
44C22×C4×Q8C2211yescharacteristic
45#2863C2211yescharacteristic
46#2863C2211yescharacteristic
47#2863C2211yescharacteristic
48#2863C2211yescharacteristic
49#2861C2212yes—
50#2860C2211yescharacteristic
51#2860C2211yescharacteristic
52#2860C2212yes—
53#2860C2211yescharacteristic
54#2860C2211yescharacteristic
55#2860C2211yescharacteristic
56#2860C2211yescharacteristic
57#2859C2211yescharacteristic
58#2858C2211yescharacteristic
59#2857C2211yescharacteristic
60#2856C2211yescharacteristic
61#2854C2212yes—
62#2854C2211yescharacteristic
63#2854C2211yescharacteristic
64#2854C2212yes—
65#2853C2212yes—
66#2852C2212yes—
67#2852C2212yes—
68#2852C2212yes—
69#2852C2212yes—
70#2852C2212yes—
71#2850C2212yes—
72#2850C2212yes—
73#2833C2212yes—
74#2831C2212yes—
75#2830C2212yes—
76#2829C2212yes—
77#2809C2211yescharacteristic
78#2808C2211yescharacteristic
79#2808C2211yescharacteristic
80#2806C2211yescharacteristic
81#2806C2212yes—
82#2805C2211yescharacteristic
83#2804C2211yescharacteristic
84#2803C2212yes—
85#2802C2212yes—
86#2798C2212yes—
87#2797C2212yes—
88#2793C2212yes—
89#2792C2212yes—
90#2791C2212yes—
91#2791C2212yes—
92#2790C2212yes—
93#2788C2212yes—
94#2787C2212yes—
95#2784C2212yes—
96#2783C2212yes—
97#2777C2212yes—
98#2776C2212yes—
99#2775C2212yes—
100#2774C2212yes—
101#2770C2212yes—
102#2769C2212yes—
103#2764C2212yes—
104#2759C2212yes—
105#2759C2212yes—
106#2757C2212yes—
107#2751C2212yes—
108#2748C2212yes—
109#2737C2212yes—
110#2734C2211yescharacteristic
111#2733C2211yescharacteristic
112#2732C2211yescharacteristic
113#2732C2211yescharacteristic
114#2730C2212yes—
115#2729C2212yes—
116#2727C2212yes—
117#2727C2211yescharacteristic
118#2726C2212yes—
119#2726C2211yescharacteristic
120#2726C2211yescharacteristic
121#2725C2212yes—
122#2724C2211yescharacteristic
123#2721C2212yes—
124#2719C2212yes—
125#2715C2212yes—
126#2715C2212yes—
127#2713C2212yes—
128#2713C2212yes—
129#2710C2212yes—
130#2709C2212yes—
131#2707C2212yes—
132#2705C2212yes—
133#2704C2212yes—
134#2702C2212yes—
135#2701C2212yes—
136#2700C2212yes—
137#2695C2212yes—
138#2694C2212yes—
139#2691C2212yes—
140#2689C2212yes—
141#2689C2212yes—
142#2683C2211yescharacteristic
143#2682C2211yescharacteristic
144#2681C2212yes—
145#2677C2212yes—
146#2676C2212yes—
147#2674C2212yes—
148#2673C2212yes—
149#2667C2212yes—
150#2666C2212yes—
151#2665C2212yes—
152#2664C2212yes—
153#2663C2212yes—
154#2662C2212yes—
155#2653C2212yes—
156#2653C2212yes—
157#2651C2212yes—
158#2650C2212yes—
159#2650C2212yes—
160#2649C2212yes—
161#2637C2212yes—
162#2637C2212yes—
163#2632C2212yes—
164#2632C2212yes—
165#2612C2212yes—
166#2610C2212yes—
167#2606C2212yes—
168#2606C2212yes—
169#2606C2212yes—
170#2605C2212yes—
171#2603C2212yes—
172#2603C2212yes—
173#2603C2212yes—
174#2602C2212yes—
175#2601C2212yes—
176#2601C2212yes—
177#2597C2212yes—
178#2596C2212yes—
179#2595C2212yes—
180#2594C2212yes—
181#2594C2212yes—
182#2593C2212yes—
183#2593C2212yes—
184#2590C2212yes—
185#2590C2212yes—
186#2589C2212yes—
187#2589C2212yes—
188#2589C2212yes—
189#2588C2212yes—
190#2587C2212yes—
191#2587C2212yes—
192#2586C2212yes—
193#2586C2212yes—
194#2585C2212yes—
195#2584C2212yes—
196#2583C2212yes—
197#2574C2212yes—
198#2569C2212yes—
199#2560C2212yes—
200#2560C2212yes—
201#2560C2212yes—
202#2560C2212yes—
203#2558C2212yes—
204#2558C2212yes—
205#2558C2212yes—
206#2557C2212yes—
207#2556C2212yes—
208#2556C2212yes—
209#2556C2212yes—
210#2554C2212yes—
211#2554C2212yes—
212#2554C2212yes—
213#2553C2212yes—
214#2550C2212yes—
215#2543C2212yes—
216#2540C2212yes—
217#2532C2212yes—
218#2531C2212yes—
219#2531C2212yes—
220#2531C2212yes—
221#2531C2212yes—
222#2530C2212yes—
223#2530C2212yes—
224#2530C2212yes—
225#2529C2212yes—
226#2529C2212yes—
227#2527C2212yes—
228#2527C2212yes—
229#2526C2212yes—
230#2526C2212yes—
231#2526C2212yes—
232#2526C2212yes—
233#2525C2212yes—
234#2522C2212yes—
235#2519C2212yes—
236#2510C2212yes—
237#2498C2212yes—
238#2498C2212yes—
239#2496C2212yes—
240#2493C2212yes—
241#2492C2212yes—
242#2490C2212yes—
243#2488C2212yes—
244#2481C2212yes—
245#2481C2212yes—
246#2478C2212yes—
247#2478C2212yes—
248#2476C2212yes—
249#2475C2212yes—
250#2473C2212yes—
251#2471C2212yes—
252#2469C2212yes—
253#2468C2212yes—
254#2466C2212yes—
255#2466C2212yes—
256#2465C2212yes—
257#2465C2212yes—
258#2465C2212yes—
259#2462C2212yes—
260#2459C2212yes—
261#2458C2212yes—
262#2458C2212yes—
263#2457C2212yes—
264#2451C2212yes—
265#2450C2212yes—
266#2450C2212yes—
267#2449C2212yes—
268#2449C2212yes—
269#2448C2212yes—
270#2444C2212yes—
271#2444C2212yes—
272#2443C2212yes—
273#2443C2212yes—
274#2443C2212yes—
275#2443C2212yes—
276#2441C2212yes—
277#2440C2212yes—
278#2439C2212yes—
279#2438C2212yes—
280#2438C2212yes—
281#2438C2212yes—
282#2438C2212yes—
283#2436C2212yes—
284#2430C2212yes—
285#2430C2212yes—
286#2430C2212yes—
287#2430C2212yes—
288#2426C2212yes—
289#2425C2212yes—
290#2425C2212yes—
291#2425C2212yes—
292#2425C2212yes—
293#2425C2212yes—
294#2423C2212yes—
295#2419C2212yes—
296#2419C2212yes—
297#2417C2212yes—
298#2416C2212yes—
299#2416C2212yes—
300#2413C2212yes—
301#2413C2212yes—
302#2413C2212yes—
303#2409C2212yes—
304#2406C2212yes—
305#2381C2212yes—
306#2378C2212yes—
307#2377C2212yes—
308#2376C2212yes—
309#2374C2212yes—
310#2373C2212yes—
311#2373C2212yes—
312#2373C2212yes—
313#2373C2212yes—
314#2372C2212yes—
315#2370C2212yes—
316#2367C2212yes—
317#2365C2212yes—
318#2364C2212yes—
319#2364C2212yes—
320#2363C2212yes—
321#2360C2212yes—
322#2360C2212yes—
323#2359C2212yes—
324#2359C2212yes—
325#2359C2212yes—
326#2359C2212yes—
327#2353C2212yes—
328#2353C2212yes—
329#2353C2212yes—
330#2352C2212yes—
331#2349C2212yes—
332#2347C2212yes—
333#2343C2212yes—
334#2339C2212yes—
335#2337C2212yes—
336#2337C2212yes—
337#2337C2212yes—
338#2335C2212yes—
339#2335C2212yes—
340#2334C2212yes—
341#2334C2212yes—
342#2332C2212yes—
343#2329C2212yes—
344#2329C2212yes—
345#2326C2212yes—
346#2323C2212yes—
347#2323C2212yes—
348#2322C2212yes—
349#2320C2212yes—
350C4×C4⋊Q8C2211yescharacteristic
351C4×#127C2211yescharacteristic
352C4×#126C2212yes—
353C4×#126C2212yes—
354C4×#126C2212yes—
355C4×#126C2212yes—
356C4×#124C2212yes—
357C4×#123C2212yes—
358C4×#121C2211yescharacteristic
359C4×#121C2212yes—
360C4×#121C2211yescharacteristic
361C4×#121C2212yes—
362#2297C2211yescharacteristic
363#2297C2211yescharacteristic
364#2297C2211yescharacteristic
365#2297C2212yes—
366#2296C2211yescharacteristic
367#2296C2211yescharacteristic
368#2296C2211yescharacteristic
369#2295C2212yes—
370#2295C2211yescharacteristic
371#2295C2212yes—
372#2295C2211yescharacteristic
373#2295C2211yescharacteristic
374#2295C2212yes—
375#2295C2211yescharacteristic
376#2295C2212yes—
377#2295C2211yescharacteristic
378#2295C2211yescharacteristic
379#2295C2211yescharacteristic
380#2295C2211yescharacteristic
381C2×#391C2211yescharacteristic
382C2×#391C2211yescharacteristic
383#2293C2211yescharacteristic
384#2293C2211yescharacteristic
385#2293C2212yes—
386C2×#389C2211yescharacteristic
387C2×#389C2211yescharacteristic
388#2290C2212yes—
389C2×#387C2212yes—
390C2×#387C2212yes—
391C2×C4×C4⋊C4C2212yes—
392C2×C4×C4⋊C4C2211yescharacteristic
393C2×#376C2212yes—
394C2×C43C2211yescharacteristic
395C22×#41C2311yescharacteristic
396C22×#41C2312yes—
397C23×Q8C2311yescharacteristic
398#552—48no—
399#547—48no—
400#542—216no—
401C2×C4⋊Q8C2312yes—
402C2×C4⋊Q8C2311yescharacteristic
403C2×C4⋊Q8C2312yes—
404C2×#127C2311yescharacteristic
405#529—48no—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#126C2312yes—
416C2×#125C2312yes—
417C2×#125C2312yes—
418C2×#125C2312yes—
419C2×#125C2312yes—
420C2×#125C2312yes—
421C2×#124C2312yes—
422C2×#124C2312yes—
423C2×#124C2312yes—
424C2×#124C2312yes—
425C2×#124C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×#123C2312yes—
435C2×#123C2312yes—
436C2×#123C2312yes—
437C2×#123C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2311yescharacteristic
453C2×#121C2311yescharacteristic
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×C4×Q8—28no—
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×#117C2312yes—
480C2×#117C2311yescharacteristic
481C2×#117C2312yes—
482C2×#117C2311yescharacteristic
483C2×#117C2311yescharacteristic
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C22×C4⋊C4C2312yes—
488C22×C4⋊C4C2311yescharacteristic
489C22×C4⋊C4C2312yes—
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2311yescharacteristic
492C22×C4⋊C4C2312yes—
493C22×C4⋊C4C2311yescharacteristic
494C22×C42C2311yescharacteristic
495C22×C42C2312yes—
496C22×C42C2311yescharacteristic
497C22×C42C2311yescharacteristic
498C22×C42C2311yescharacteristic
499C22×C42C2311yescharacteristic
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#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#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#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#395C2312yes—
615#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2312yes—
620#395C2312yes—
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#393C2312yes—
647#393C2312yes—
648#393C2312yes—
649#393C2312yes—
650#393C2312yes—
651#393C2312yes—
652#393C2312yes—
653#393C2312yes—
654#393C2312yes—
655#393C2312yes—
656#393C2312yes—
657#393C2312yes—
658#392C2312yes—
659#392C2312yes—
660#392C2312yes—
661#392C2312yes—
662#392C2312yes—
663#391C2311yescharacteristic
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2311yescharacteristic
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2311yescharacteristic
682#391C2312yes—
683#391C2312yes—
684#391C2311yescharacteristic
685#391C2311yescharacteristic
686#391C2311yescharacteristic
687#391C2311yescharacteristic
688#391C2311yescharacteristic
689#391C2311yescharacteristic
690#391C2311yescharacteristic
691#391C2312yes—
692#391C2312yes—
693#391C2311yescharacteristic
694#391C2311yescharacteristic
695#391C2311yescharacteristic
696#391C2311yescharacteristic
697#390C2311yescharacteristic
698#390C2312yes—
699#390C2312yes—
700#390C2312yes—
701#390C2312yes—
702#390C2312yes—
703#390C2311yescharacteristic
704#390C2312yes—
705#390C2312yes—
706#390C2312yes—
707#390C2312yes—
708#390C2312yes—
709#390C2311yescharacteristic
710#390C2311yescharacteristic
711#390C2312yes—
712#390C2311yescharacteristic
713#390C2311yescharacteristic
714#390C2311yescharacteristic
715#390C2311yescharacteristic
716#390C2312yes—
717#390C2312yes—
718#390C2311yescharacteristic
719#390C2311yescharacteristic
720#390C2311yescharacteristic
721#390C2311yescharacteristic
722#390C2311yescharacteristic
723#390C2311yescharacteristic
724#390C2312yes—
725#389C2311yescharacteristic
726#389C2311yescharacteristic
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2311yescharacteristic
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2311yescharacteristic
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2311yescharacteristic
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2311yescharacteristic
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2311yescharacteristic
758#389C2311yescharacteristic
759#389C2311yescharacteristic
760#389C2312yes—
761#389C2311yescharacteristic
762#389C2311yescharacteristic
763#389C2311yescharacteristic
764#389C2311yescharacteristic
765#389C2312yes—
766#389C2311yescharacteristic
767#389C2311yescharacteristic
768#389C2311yescharacteristic
769#389C2311yescharacteristic
770#389C2311yescharacteristic
771#389C2311yescharacteristic
772#389C2311yescharacteristic
773#389C2311yescharacteristic
774#389C2311yescharacteristic
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2311yescharacteristic
782#389C2311yescharacteristic
783#389C2311yescharacteristic
784#389C2311yescharacteristic
785#389C2311yescharacteristic
786#389C2312yes—
787#389C2312yes—
788#389C2311yescharacteristic
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#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#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#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
989#386C2312yes—
990#386C2312yes—
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#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#385C2312yes—
1026#385C2312yes—
1027#384C2311yescharacteristic
1028#384C2311yescharacteristic
1029#384C2312yes—
1030#383C2312yes—
1031#383C2312yes—
1032#383C2312yes—
1033#383C2312yes—
1034#383C2312yes—
1035#383C2312yes—
1036#383C2312yes—
1037#382C2312yes—
1038#382C2312yes—
1039#382C2312yes—
1040#382C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#381C2312yes—
1047#381C2312yes—
1048#380C2311yescharacteristic
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2311yescharacteristic
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2311yescharacteristic
1074C4×C4⋊C4C2311yescharacteristic
1075C4×C4⋊C4C2311yescharacteristic
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2311yescharacteristic
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2311yescharacteristic
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2311yescharacteristic
1093C4×C4⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊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⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121#376C2312yes—
1122#376C2312yes—
1123#376C2312yes—
1124#376C2312yes—
1125#376C2312yes—
1126#376C2312yes—
1127#376C2312yes—
1128#376C2312yes—
1129#376C2312yes—
1130C2×#95C2312yes—
1131C2×#95C2312yes—
1132C2×#95C2312yes—
1133C2×#95C2312yes—
1134C2×#95C2312yes—
1135C2×#95C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C43C2311yescharacteristic
1140C43C2311yescharacteristic
1141C43C2311yescharacteristic
1142C43C2311yescharacteristic
1143C43C2311yescharacteristic
1144C43C2311yescharacteristic
1145C43C2311yescharacteristic
1146C43C2311yescharacteristic
1147C2×#41—24no—
1148C2×#41—44no—
1149C2×#41—42no—
1150C2×#41—42no—
1151C2×#41—44no—
1152C2×#41—44no—
1153C22×Q8—24no—
1154C22×Q8—42no—
1155C22×Q8—42no—
1156C22×Q8C2412yes—
1157C22×Q8C2411yescharacteristic
1158C22×Q8C2412yes—
1159C22×Q8C2412yes—
1160C22×Q8C2411yescharacteristic
1161C22×Q8C2412yes—
1162C22×Q8C2411yescharacteristic
1163C22×D4C2412yes—
1164C22×D4C2412yes—
1165C22×D4C2412yes—
1166C22×D4C2412yes—
1167C22×D4C2412yes—
1168C22×D4C2412yes—
1169C22×D4C2412yes—
1170C22×D4C2411yescharacteristic
1171C22×D4C2411yescharacteristic
1172C22×D4C2411yescharacteristic
1173C22×D4C2412yes—
1174C22×D4C2412yes—
1175C23×C4C2411yescharacteristic
1176C23×C4C2412yes—
1177C23×C4C2411yescharacteristic
1178C23×C4C2412yes—
1179C23×C4C2411yescharacteristic
1180C23×C4C2411yescharacteristic
1181C23×C4C2412yes—
1182C23×C4C2411yescharacteristic
1183C23×C4C2411yescharacteristic
1184C23×C4C2411yescharacteristic
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2412yes—
1189C23×C4C2412yes—
1190C23×C4C2412yes—
1191C23×C4C2412yes—
1192C23×C4C2412yes—
1193C23×C4C2412yes—
1194C23×C4C2412yes—
1195C4⋊Q8—28no—
1196C4⋊Q8—42no—
1197C4⋊Q8—44no—
1198#127—42no—
1199#126—28no—
1200#126—28no—
1201#126—28no—
1202#126—44no—
1203#126—44no—
1204#126—44no—
1205#126—44no—
1206#126—44no—
1207#126—44no—
1208#126—44no—
1209#125—44no—
1210#125—44no—
1211#125—44no—
1212#125—44no—
1213#125—44no—
1214#124—28no—
1215#124—28no—
1216#124—28no—
1217#124—44no—
1218#124—44no—
1219#123—28no—
1220#123—28no—
1221#123—28no—
1222#123—28no—
1223#123—44no—
1224#123—44no—
1225#123—44no—
1226#123—44no—
1227#123—44no—
1228#123—44no—
1229#123—44no—
1230#123—44no—
1231C22⋊Q8—28no—
1232C22⋊Q8—28no—
1233C22⋊Q8—28no—
1234C22⋊Q8—44no—
1235C22⋊Q8—44no—
1236C22⋊Q8—44no—
1237C22⋊Q8—44no—
1238C22⋊Q8—44no—
1239C22⋊Q8—44no—
1240C22⋊Q8—44no—
1241#121—28no—
1242#121—44no—
1243#121—44no—
1244#121—44no—
1245#121—42no—
1246#121—42no—
1247#121—44no—
1248#121—44no—
1249#121—44no—
1250#121—44no—
1251C4×Q8—24no—
1252C4×Q8—28no—
1253C4×Q8—24no—
1254C4×Q8—28no—
1255C4×Q8—24no—
1256C4×Q8—44no—
1257C4×Q8—44no—
1258C4×Q8#4118yescomplemented
1259C4×D4—28no—
1260C4×D4—24no—
1261C4×D4—24no—
1262C4×D4—44no—
1263C4×D4—44no—
1264C4×D4—44no—
1265C4×D4—44no—
1266C4×D4—44no—
1267C4×D4—44no—
1268C4×D4—44no—
1269C4×D4—44no—
1270C4×D4—44no—
1271#117—24no—
1272#117—28no—
1273#117—44no—
1274#117—44no—
1275#117—44no—
1276#117—42no—
1277#117—42no—
1278#117—44no—
1279C2×C4⋊C4—28no—
1280C2×C4⋊C4—28no—
1281C2×C4⋊C4—24no—
1282C2×C4⋊C4—44no—
1283C2×C4⋊C4—42no—
1284C2×C4⋊C4—44no—
1285C2×C4⋊C4—42no—
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⋊C4C2412yes—
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2411yescharacteristic
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⋊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⋊C4C2412yes—
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2411yescharacteristic
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2411yescharacteristic
1334C2×C4⋊C4C2411yescharacteristic
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
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⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2411yescharacteristic
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×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⋊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⋊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×C22⋊C4C2412yes—
1443C2×C22⋊C4C2412yes—
1444C2×C22⋊C4C2412yes—
1445C2×C22⋊C4C2412yes—
1446C2×C22⋊C4C2412yes—
1447C2×C42—24no—
1448C2×C42—28no—
1449C2×C42—24no—
1450C2×C42—24no—
1451C2×C42—42no—
1452C2×C42—42no—
1453C2×C42—42no—
1454C2×C42—44no—
1455C2×C42—42no—
1456C2×C42C2411yescharacteristic
1457C2×C42C2412yes—
1458C2×C42C2412yes—
1459C2×C42C2411yescharacteristic
1460C2×C42C2411yescharacteristic
1461C2×C42C2411yescharacteristic
1462C2×C42C2411yescharacteristic
1463C2×C42C2411yescharacteristic
1464C2×C42C2412yes—
1465C2×C42C2412yes—
1466C2×C42C2412yes—
1467C2×C42C2411yescharacteristic
1468C2×C42C2411yescharacteristic
1469C2×C42C2411yescharacteristic
1470C2×C42C2411yescharacteristic
1471C2×C42C2411yescharacteristic
1472C2×C42C2411yescharacteristic
1473C2×C42C2411yescharacteristic
1474C2×C42C2411yescharacteristic
1475C2×C42C2412yes—
1476C2×C42C2412yes—
1477C2×C42C2412yes—
1478C2×C42C2412yes—
1479C2×C42C2412yes—
1480C2×C42C2412yes—
1481C2×C42C2412yes—
1482C2×C42C2412yes—
1483C2×C42C2412yes—
1484C2×C42C2412yes—
1485C2×C42C2412yes—
1486C2×C42C2412yes—
1487C2×C42C2412yes—
1488C2×C42C2411yescharacteristic
1489C2×C42C2411yescharacteristic
1490C2×C42C2411yescharacteristic
1491C2×C42C2411yescharacteristic
1492C2×C42C2411yescharacteristic
1493C2×C42C2411yescharacteristic
1494C2×C42C2411yescharacteristic
1495C2×C42C2411yescharacteristic
1496C2×C42C2411yescharacteristic
1497C2×C42C2411yescharacteristic
1498C2×C42C2411yescharacteristic
1499C2×C42C2411yescharacteristic
1500C2×C42C2412yes—
1501C2×C42C2412yes—
1502C2×C42C2412yes—
1503C2×C42C2412yes—
1504C2×C42C2412yes—
1505C2×C42C2411yescharacteristic
1506C2×C42C2411yescharacteristic
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
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—
1609#95C2412yes—
1610#95C2412yes—
1611C24C2512yes—
1612C24C2512yes—
1613C24C2512yes—
1614C24C2511yescharacteristic
1615#41—88no—
1616#41—816no—
1617C2×Q8—24no—
1618C2×Q8—22no—
1619C2×Q8—24no—
1620C2×Q8—24no—
1621C2×Q8—22no—
1622C2×Q8—24no—
1623C2×Q8—41no—
1624C2×Q8—42no—
1625C2×Q8—41no—
1626C2×Q8—41no—
1627C2×Q8—41no—
1628C2×Q8—42no—
1629C2×Q8—42no—
1630C2×Q8—42no—
1631C2×Q8—42no—
1632C2×Q8—42no—
1633C2×Q8—41no—
1634C2×Q8—41no—
1635C2×Q8—42no—
1636C2×Q8—42no—
1637C2×Q8—416no—
1638C2×Q8C2×#4114yes—
1639C2×D4—24no—
1640C2×D4—24no—
1641C2×D4—24no—
1642C2×D4—24no—
1643C2×D4—24no—
1644C2×D4—24no—
1645C2×D4—24no—
1646C2×D4—24no—
1647C2×D4—24no—
1648C2×D4—24no—
1649C2×D4—24no—
1650C2×D4—24no—
1651C2×D4—22no—
1652C2×D4—22no—
1653C2×D4—22no—
1654C2×D4—24no—
1655C2×D4—42no—
1656C2×D4—42no—
1657C2×D4—42no—
1658C2×D4—42no—
1659C2×D4—41no—
1660C2×D4—42no—
1661C2×D4—41no—
1662C2×D4—42no—
1663C2×D4—42no—
1664C2×D4—42no—
1665C2×D4—41no—
1666C2×D4—41no—
1667C2×D4—42no—
1668C2×D4—41no—
1669C2×D4—41no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C22×C4—22no—
1676C22×C4—22no—
1677C22×C4—22no—
1678C22×C4—22no—
1679C22×C4—22no—
1680C22×C4—22no—
1681C22×C4—22no—
1682C22×C4—22no—
1683C22×C4—22no—
1684C22×C4—22no—
1685C22×C4—24no—
1686C22×C4—24no—
1687C22×C4—22no—
1688C22×C4—22no—
1689C22×C4—24no—
1690C22×C4—24no—
1691C22×C4—24no—
1692C22×C4—24no—
1693C22×C4—24no—
1694C22×C4—22no—
1695C22×C4—24no—
1696C22×C4—22no—
1697C22×C4—22no—
1698C22×C4—22no—
1699C22×C4—24no—
1700C22×C4—24no—
1701C22×C4—24no—
1702C22×C4—24no—
1703C22×C4—24no—
1704C22×C4—24no—
1705C22×C4—41no—
1706C22×C4—41no—
1707C22×C4—41no—
1708C22×C4—41no—
1709C22×C4—42no—
1710C22×C4—42no—
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—42no—
1721C22×C4—42no—
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×C4H(5,𝔽2)14yes—
1735C22×C4C2511yescharacteristic
1736C22×C4C2512yes—
1737C22×C4C2512yes—
1738C22×C4C2512yes—
1739C22×C4C2512yes—
1740C22×C4C2512yes—
1741C22×C4C2512yes—
1742C22×C4C2511yescharacteristic
1743C22×C4C2511yescharacteristic
1744C22×C4C2512yes—
1745C22×C4C2512yes—
1746C22×C4C2512yes—
1747C22×C4C2512yes—
1748C22×C4C2512yes—
1749C22×C4C2512yes—
1750C22×C4C2512yes—
1751C22×C4C2512yes—
1752C22×C4C2512yes—
1753C22×C4C2512yes—
1754C22×C4C2512yes—
1755C22×C4C2511yescharacteristic
1756C22×C4C2512yes—
1757C22×C4C2512yes—
1758C22×C4C2512yes—
1759C22×C4C2511yescharacteristic
1760C22×C4C2511yescharacteristic
1761C22×C4C2511yescharacteristic
1762C22×C4C2512yes—
1763C22×C4C2511yescharacteristic
1764C22×C4C2511yescharacteristic
1765C22×C4C2511yescharacteristic
1766C22×C4C2511yescharacteristic
1767C22×C4C2511yescharacteristic
1768C22×C4C2511yescharacteristic
1769C22×C4C2511yescharacteristic
1770C4⋊C4—24no—
1771C4⋊C4—24no—
1772C4⋊C4—22no—
1773C4⋊C4—24no—
1774C4⋊C4—24no—
1775C4⋊C4—24no—
1776C4⋊C4—24no—
1777C4⋊C4—24no—
1778C4⋊C4—24no—
1779C4⋊C4—24no—
1780C4⋊C4—24no—
1781C4⋊C4—24no—
1782C4⋊C4—24no—
1783C4⋊C4—24no—
1784C4⋊C4—24no—
1785C4⋊C4—24no—
1786C4⋊C4—24no—
1787C4⋊C4—22no—
1788C4⋊C4—22no—
1789C4⋊C4—24no—
1790C4⋊C4—24no—
1791C4⋊C4—24no—
1792C4⋊C4—22no—
1793C4⋊C4—22no—
1794C4⋊C4—24no—
1795C4⋊C4—24no—
1796C4⋊C4—24no—
1797C4⋊C4—24no—
1798C4⋊C4—24no—
1799C4⋊C4—24no—
1800C4⋊C4—24no—
1801C4⋊C4—24no—
1802C4⋊C4—24no—
1803C4⋊C4—41no—
1804C4⋊C4—41no—
1805C4⋊C4—41no—
1806C4⋊C4—42no—
1807C4⋊C4—41no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—42no—
1812C4⋊C4—41no—
1813C4⋊C4—41no—
1814C4⋊C4—41no—
1815C4⋊C4—41no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—42no—
1832C4⋊C4—41no—
1833C4⋊C4—41no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—42no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—42no—
1846C4⋊C4—42no—
1847C4⋊C4—42no—
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—41no—
1857C4⋊C4—41no—
1858C4⋊C4C2×#4118yes—
1859C4⋊C4C2×#4114yes—
1860C22⋊C4—24no—
1861C22⋊C4—24no—
1862C22⋊C4—24no—
1863C22⋊C4—24no—
1864C22⋊C4—24no—
1865C22⋊C4—24no—
1866C22⋊C4—24no—
1867C22⋊C4—24no—
1868C22⋊C4—24no—
1869C22⋊C4—24no—
1870C22⋊C4—24no—
1871C22⋊C4—24no—
1872C22⋊C4—24no—
1873C22⋊C4—24no—
1874C22⋊C4—24no—
1875C22⋊C4—24no—
1876C22⋊C4—24no—
1877C22⋊C4—24no—
1878C22⋊C4—24no—
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—24no—
1888C22⋊C4—24no—
1889C22⋊C4—24no—
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—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
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—
1931C42—22no—
1932C42—24no—
1933C42—22no—
1934C42—24no—
1935C42—22no—
1936C42—24no—
1937C42—24no—
1938C42—22no—
1939C42—22no—
1940C42—22no—
1941C42—22no—
1942C42—24no—
1943C42—22no—
1944C42—22no—
1945C42—22no—
1946C42—22no—
1947C42—22no—
1948C42—22no—
1949C42—22no—
1950C42—41no—
1951C42—41no—
1952C42—41no—
1953C42—41no—
1954C42—41no—
1955C42—41no—
1956C42—41no—
1957C42—41no—
1958C42—42no—
1959C42—42no—
1960C42—42no—
1961C42—42no—
1962C42—41no—
1963C42—41no—
1964C42—41no—
1965C42—41no—
1966C42—42no—
1967C42—42no—
1968C42—42no—
1969C42—42no—
1970C42—42no—
1971C42—42no—
1972C42—42no—
1973C42—42no—
1974C42—42no—
1975C42—42no—
1976C42—42no—
1977C42—42no—
1978C42—42no—
1979C42C2×#4118yes—
1980C42C2×#4114yes—
1981C422−1+414yes—
1982C23—21no—
1983C23—21no—
1984C23—21no—
1985C23—21no—
1986C23—22no—
1987C23—22no—
1988C23—22no—
1989C23—22no—
1990C23—22no—
1991C23—22no—
1992C23—22no—
1993C23—22no—
1994C23—22no—
1995C23—22no—
1996C23—22no—
1997C23—22no—
1998C23—22no—
1999C23—22no—
2000C23—22no—
2001C23—22no—
2002C23—22no—
2003C23—22no—
2004C23—22no—
2005C23—22no—
2006C23—22no—
2007C23C2×H(5,𝔽2)12yes—
2008C23#58512yes—
2009C23#58512yes—
2010C23C2611yescharacteristic
2011Q8—44no—
2012Q8—48no—
2013Q8—44no—
2014Q8—84no—
2015Q8—84no—
2016Q8—82no—
2017Q8—84no—
2018D4—48no—
2019D4—48no—
2020D4—48no—
2021D4—82no—
2022D4—82no—
2023D4—84no—
2024D4—84no—
2025D4—84no—
2026D4—84no—
2027D4—82no—
2028D4—84no—
2029D4—162no—
2030C2×C4—28no—
2031C2×C4—28no—
2032C2×C4—21no—
2033C2×C4—21no—
2034C2×C4—21no—
2035C2×C4—21no—
2036C2×C4—22no—
2037C2×C4—21no—
2038C2×C4—21no—
2039C2×C4—21no—
2040C2×C4—21no—
2041C2×C4—21no—
2042C2×C4—21no—
2043C2×C4—21no—
2044C2×C4—21no—
2045C2×C4—21no—
2046C2×C4—21no—
2047C2×C4—21no—
2048C2×C4—21no—
2049C2×C4—21no—
2050C2×C4—21no—
2051C2×C4—21no—
2052C2×C4—21no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—28no—
2057C2×C4—21no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—21no—
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—22no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—21no—
2080C2×C4—21no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—21no—
2087C2×C4—21no—
2088C2×C4—21no—
2089C2×C4—21no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—21no—
2094C2×C4—21no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—22no—
2098C2×C4—21no—
2099C2×C4—22no—
2100C2×C4—22no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—22no—
2104C2×C4—22no—
2105C2×C4—22no—
2106C2×C4—22no—
2107C2×C4—22no—
2108C2×C4—22no—
2109C2×C4—22no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—22no—
2113C2×C4—22no—
2114C2×C4—22no—
2115C2×C4—22no—
2116C2×C4—22no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—22no—
2122C2×C4—22no—
2123C2×C4—22no—
2124C2×C4—22no—
2125C2×C4—22no—
2126C2×C4—44no—
2127C2×C4—48no—
2128C2×C4—44no—
2129C2×C4—44no—
2130C2×C4—44no—
2131C2×C4—48no—
2132C2×C4—48no—
2133C2×C4—84no—
2134C2×C4—84no—
2135C2×C4—84no—
2136C2×C4—84no—
2137C2×C4—84no—
2138C2×C4—84no—
2139C2×C4—84no—
2140C2×C4—84no—
2141C2×C4—84no—
2142C2×C4—162no—
2143C2×C4C22×#4112yes—
2144C2×C4C22×#4114yes—
2145C2×C4C22×#4112yes—
2146C2×C4C22×#4114yes—
2147C2×C4C22×#4112yes—
2148C2×C4C2×H(5,𝔽2)12yes—
2149C2×C4C2×H(5,𝔽2)12yes—
2150C2×C4C2×2−1+412yes—
2151C2×C4C2×2−1+412yes—
2152C2×C4C2×2−1+412yes—
2153C2×C4#58512yes—
2154C2×C4#58512yes—
2155C22—22no—
2156C22—22no—
2157C22—22no—
2158C22—22no—
2159C22—22no—
2160C22—22no—
2161C22—42no—
2162C22—42no—
2163C22—42no—
2164C22—42no—
2165C22—42no—
2166C22—42no—
2167C22—42no—
2168C22—42no—
2169C22—42no—
2170C22—42no—
2171C22—42no—
2172C22—42no—
2173C22—42no—
2174C22—42no—
2175C22—42no—
2176C22—42no—
2177C22—42no—
2178C22—42no—
2179C22—42no—
2180C22—42no—
2181C22—42no—
2182C22#356014yes—
2183C22C23×#4111yescharacteristic
2184C22C22×H(5,𝔽2)11yescharacteristic
2185C22C22×2−1+411yescharacteristic
2186C22C2×#58511yescharacteristic
2187C22C2×#58511yescharacteristic
2188C22C2×#58511yescharacteristic
2189C22C2×#58511yescharacteristic
2190C4—22no—
2191C4—22no—
2192C4—22no—
2193C4—22no—
2194C4—22no—
2195C4—24no—
2196C4—22no—
2197C4—22no—
2198C4—22no—
2199C4—24no—
2200C4—22no—
2201C4—22no—
2202C4—42no—
2203C4—42no—
2204C4—42no—
2205C4—42no—
2206C4—42no—
2207C4—42no—
2208C4—41no—
2209C4—42no—
2210C4—41no—
2211C4—42no—
2212C4—42no—
2213C4—42no—
2214C4—42no—
2215C4—42no—
2216C4—42no—
2217C4—41no—
2218C4—42no—
2219C4—42no—
2220C4—42no—
2221C4—42no—
2222C4—41no—
2223C4—42no—
2224C4—42no—
2225C2—24no—
2226C2—82no—
2227C2—82no—
2228C2—82no—
2229C2C2×#356011yescharacteristic
2230C2#6275211yescharacteristic
2231C2#6278811yescharacteristic
2232C2#6280011yescharacteristic
2233C2#6281411yescharacteristic
2234C2#6282811yescharacteristic
2235C2#6283511yescharacteristic
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. #59932C2semidirect
2. #59887C2semidirect
3. #59106C2semidirect
4. #59088C2semidirect
5. #46041C2semidirect
6. #46040C2semidirect
7. #45835C2semidirect
8. #45834C2semidirect
9. #40331C2semidirect
10. #40298C2semidirect
11. #38834C2semidirect
12. #38775C2semidirect
13. #38751C2semidirect
14. #38718C2semidirect
15. #38597C2semidirect
16. #38596C2semidirect
17. #38495C2semidirect
18. #38494C2semidirect
19. #38486C2semidirect
20. #38484C2semidirect
21. #38453C2semidirect
22. #38452C2semidirect
23. #38427C2semidirect
24. #38425C2semidirect
25. #37584C2semidirect
26. #37196C2semidirect
27. #37192C2semidirect
28. #37145C2semidirect
29. #37143C2semidirect
30. #36641C2semidirect
31. #36631C2semidirect
32. #36522C2semidirect
33. #36424C2semidirect
34. #36353C2semidirect
35. #36350C2semidirect
36. #35243C2semidirect
37. #35058C2semidirect
38. #34453C2semidirect
39. C2×#2295C2semidirect
1258. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599322
#598872
#591062
#590882
#460412
#460402
#458352
#458342
#403312
#402982
#388342
#387752
#387512
#387182
#385972
#385962
#384952
#384942
#384862
#384842
#384532
#384522
#384272
#384252
#375842
#371962
#371922
#371452
#371432
#366412
#366312
#365222
#364242
#363532
#363502
#352432
#350582
#344532
C2×#22952