Finite Group Databasebeta

← #8215113

Subgroups — #8215113

Order 512.

4552 conjugacy classes of subgroups.

The subgroup lattice has 2217 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59513C212yesmaximal, complemented
2#58949C212yesmaximal, complemented
3#58912C212yesmaximal, complemented
4#58579C212yesmaximal, complemented
5#58436C212yesmaximal, complemented
6#58432C212yesmaximal, complemented
7#58250C212yesmaximal, complemented
8#58101C212yesmaximal, complemented
9#57439C212yesmaximal, complemented
10#53377C211yesmaximal, characteristic, complemented
11#53298C211yesmaximal, characteristic, complemented
12#52591C212yesmaximal, complemented
13#52152C211yesmaximal, characteristic, complemented
14#50471C212yesmaximal, complemented
15#49855C212yesmaximal, complemented
16#46596C212yesmaximal, complemented
17#46383C212yesmaximal, complemented
18#46289C211yesmaximal, characteristic, complemented
19#45962C211yesmaximal, characteristic, complemented
20#45798C212yesmaximal, complemented
21#44393C212yesmaximal, complemented
22#44364C212yesmaximal, complemented
23#44248C212yesmaximal, complemented
24#42082C212yesmaximal, complemented
25#41352C212yesmaximal, complemented
26#39959C212yesmaximal, complemented
27#39637C211yesmaximal, characteristic, complemented
28#39365C211yesmaximal, characteristic, complemented
29#38678C212yesmaximal, complemented
30#38447C211yesmaximal, characteristic, complemented
31#38435C211yesmaximal, characteristic, complemented
32#37804C212yesmaximal, complemented
33#37759C212yesmaximal, complemented
34#37256C211yesmaximal, characteristic, complemented
35#37131C211yesmaximal, characteristic, complemented
36#37130C211yesmaximal, characteristic, complemented
37#36367C211yesmaximal, characteristic, complemented
38#36265C211yesmaximal, characteristic, complemented
39#35300C211yesmaximal, characteristic, complemented
40C2×#556C2212yes—
41C2×#552C2212yes—
42C2×#544C2212yes—
43C2×#539C2212yes—
44C2×#539C2212yes—
45C2×#529C2212yes—
46#2864C2211yescharacteristic
47#2861C2211yescharacteristic
48#2860C2211yescharacteristic
49#2860C2211yescharacteristic
50#2859C2211yescharacteristic
51#2859C2211yescharacteristic
52#2857C2212yes—
53#2855C2211yescharacteristic
54#2854C2211yescharacteristic
55#2854C2211yescharacteristic
56#2854C2211yescharacteristic
57#2851C2212yes—
58#2841C2212yes—
59#2841C2212yes—
60#2839C2212yes—
61#2837C2212yes—
62#2837C2212yes—
63#2837C2212yes—
64#2836C2212yes—
65#2831C2212yes—
66#2829C2212yes—
67#2829C2212yes—
68#2828C2212yes—
69#2827C2212yes—
70#2816C2212yes—
71#2814C2212yes—
72#2809C2212yes—
73#2809C2212yes—
74#2808C2212yes—
75#2807C2212yes—
76#2806C2212yes—
77#2805C2211yescharacteristic
78#2805C2211yescharacteristic
79#2802C2212yes—
80#2802C2212yes—
81#2800C2212yes—
82#2796C2212yes—
83#2792C2212yes—
84#2790C2212yes—
85#2790C2212yes—
86#2788C2212yes—
87#2784C2212yes—
88#2780C2212yes—
89#2777C2212yes—
90#2776C2212yes—
91#2773C2212yes—
92#2773C2212yes—
93#2772C2212yes—
94#2768C2212yes—
95#2768C2212yes—
96#2764C2212yes—
97#2763C2212yes—
98#2759C2212yes—
99#2757C2212yes—
100#2757C2212yes—
101#2756C2212yes—
102#2755C2212yes—
103#2755C2212yes—
104#2754C2212yes—
105#2752C2212yes—
106#2751C2212yes—
107#2750C2212yes—
108#2747C2212yes—
109#2737C2212yes—
110#2734C2211yescharacteristic
111#2734C2212yes—
112#2733C2211yescharacteristic
113#2732C2212yes—
114#2731C2212yes—
115#2729C2212yes—
116#2729C2212yes—
117#2727C2211yescharacteristic
118#2727C2212yes—
119#2727C2211yescharacteristic
120#2726C2211yescharacteristic
121#2726C2211yescharacteristic
122#2726C2212yes—
123#2726C2211yescharacteristic
124#2726C2212yes—
125#2726C2211yescharacteristic
126#2725C2212yes—
127#2725C2212yes—
128#2725C2212yes—
129#2725C2212yes—
130#2724C2211yescharacteristic
131#2724C2211yescharacteristic
132#2723C2212yes—
133#2722C2212yes—
134#2722C2212yes—
135#2721C2212yes—
136#2720C2212yes—
137#2719C2212yes—
138#2718C2212yes—
139#2718C2212yes—
140#2716C2212yes—
141#2716C2212yes—
142#2715C2212yes—
143#2715C2212yes—
144#2714C2212yes—
145#2713C2212yes—
146#2710C2212yes—
147#2710C2212yes—
148#2707C2212yes—
149#2707C2212yes—
150#2707C2212yes—
151#2707C2212yes—
152#2707C2212yes—
153#2706C2212yes—
154#2705C2212yes—
155#2704C2212yes—
156#2704C2212yes—
157#2704C2212yes—
158#2703C2212yes—
159#2702C2212yes—
160#2702C2212yes—
161#2702C2212yes—
162#2702C2212yes—
163#2702C2212yes—
164#2701C2212yes—
165#2701C2212yes—
166#2700C2212yes—
167#2698C2212yes—
168#2696C2212yes—
169#2696C2212yes—
170#2696C2212yes—
171#2695C2212yes—
172#2695C2212yes—
173#2694C2212yes—
174#2692C2212yes—
175#2692C2212yes—
176#2689C2212yes—
177#2689C2212yes—
178#2688C2212yes—
179#2687C2212yes—
180#2687C2212yes—
181#2683C2211yescharacteristic
182#2683C2211yescharacteristic
183#2682C2211yescharacteristic
184#2682C2212yes—
185#2682C2212yes—
186#2682C2211yescharacteristic
187#2682C2212yes—
188#2681C2212yes—
189#2681C2212yes—
190#2681C2212yes—
191#2680C2212yes—
192#2674C2212yes—
193#2674C2212yes—
194#2672C2212yes—
195#2672C2212yes—
196#2672C2212yes—
197#2671C2212yes—
198#2671C2212yes—
199#2671C2212yes—
200#2667C2212yes—
201#2666C2212yes—
202#2665C2212yes—
203#2665C2212yes—
204#2664C2212yes—
205#2664C2212yes—
206#2664C2212yes—
207#2662C2212yes—
208#2654C2212yes—
209#2650C2212yes—
210#2649C2212yes—
211#2647C2212yes—
212#2645C2211yescharacteristic
213#2644C2211yescharacteristic
214#2640C2212yes—
215#2636C2212yes—
216#2629C2212yes—
217#2629C2211yescharacteristic
218#2620C2212yes—
219#2620C2211yescharacteristic
220#2618C2212yes—
221#2611C2212yes—
222#2610C2212yes—
223#2606C2212yes—
224#2604C2212yes—
225#2604C2212yes—
226#2602C2212yes—
227#2601C2212yes—
228#2601C2212yes—
229#2601C2212yes—
230#2596C2212yes—
231#2595C2212yes—
232#2594C2212yes—
233#2594C2212yes—
234#2590C2212yes—
235#2587C2212yes—
236#2587C2212yes—
237#2585C2212yes—
238#2585C2212yes—
239#2584C2212yes—
240#2584C2212yes—
241#2583C2212yes—
242#2583C2212yes—
243#2579C2212yes—
244#2577C2212yes—
245#2577C2212yes—
246#2576C2212yes—
247#2576C2212yes—
248#2564C2212yes—
249#2558C2212yes—
250#2558C2212yes—
251#2558C2212yes—
252#2557C2212yes—
253#2556C2212yes—
254#2556C2212yes—
255#2556C2212yes—
256#2556C2212yes—
257#2555C2212yes—
258#2554C2212yes—
259#2554C2212yes—
260#2554C2212yes—
261#2553C2212yes—
262#2550C2212yes—
263#2550C2212yes—
264#2543C2212yes—
265#2533C2212yes—
266#2532C2212yes—
267#2531C2212yes—
268#2529C2212yes—
269#2526C2212yes—
270#2525C2212yes—
271#2523C2212yes—
272#2522C2212yes—
273#2519C2212yes—
274#2513C2211yescharacteristic
275#2512C2211yescharacteristic
276#2509C2211yescharacteristic
277#2507C2212yes—
278#2507C2211yescharacteristic
279#2506C2211yescharacteristic
280#2506C2212yes—
281#2506C2211yescharacteristic
282#2501C2211yescharacteristic
283#2500C2211yescharacteristic
284#2492C2212yes—
285#2490C2212yes—
286#2488C2212yes—
287#2479C2212yes—
288#2478C2212yes—
289#2477C2212yes—
290#2477C2212yes—
291#2476C2212yes—
292#2476C2212yes—
293#2475C2212yes—
294#2475C2212yes—
295#2473C2212yes—
296#2473C2212yes—
297#2473C2212yes—
298#2471C2212yes—
299#2470C2212yes—
300#2470C2212yes—
301#2470C2212yes—
302#2470C2212yes—
303#2469C2212yes—
304#2469C2212yes—
305#2467C2212yes—
306#2466C2212yes—
307#2465C2212yes—
308#2465C2212yes—
309#2463C2212yes—
310#2463C2212yes—
311#2460C2212yes—
312#2460C2212yes—
313#2459C2212yes—
314#2458C2212yes—
315#2458C2212yes—
316#2457C2212yes—
317#2456C2212yes—
318#2456C2212yes—
319#2455C2212yes—
320#2454C2212yes—
321#2453C2212yes—
322#2453C2212yes—
323#2453C2212yes—
324#2452C2211yescharacteristic
325#2452C2212yes—
326#2452C2212yes—
327#2452C2211yescharacteristic
328#2452C2212yes—
329#2451C2212yes—
330#2449C2212yes—
331#2441C2212yes—
332#2441C2212yes—
333#2440C2212yes—
334#2440C2211yescharacteristic
335#2440C2212yes—
336#2439C2211yescharacteristic
337#2438C2212yes—
338#2429C2212yes—
339#2429C2212yes—
340#2429C2212yes—
341#2429C2212yes—
342#2417C2212yes—
343#2417C2212yes—
344#2416C2212yes—
345#2415C2212yes—
346#2415C2212yes—
347#2415C2212yes—
348#2415C2212yes—
349#2414C2212yes—
350#2413C2212yes—
351#2413C2212yes—
352#2413C2212yes—
353#2396C2212yes—
354#2395C2212yes—
355#2392C2212yes—
356#2376C2212yes—
357#2376C2212yes—
358#2373C2212yes—
359#2370C2212yes—
360#2363C2211yescharacteristic
361#2363C2212yes—
362#2362C2212yes—
363#2361C2212yes—
364#2361C2212yes—
365#2361C2211yescharacteristic
366#2360C2212yes—
367#2359C2212yes—
368#2352C2212yes—
369#2347C2211yescharacteristic
370#2344C2211yescharacteristic
371#2343C2212yes—
372#2336C2212yes—
373#2334C2212yes—
374#2331C2212yes—
375#2330C2212yes—
376#2330C2211yescharacteristic
377#2326C2211yescharacteristic
378#2324C2211yescharacteristic
379#2323C2212yes—
380#2323C2211yescharacteristic
381#2323C2212yes—
382C4×C4⋊Q8C2211yescharacteristic
383C4×C4⋊Q8C2211yescharacteristic
384C4×#123C2212yes—
385C4×#121C2212yes—
386#2296C2211yescharacteristic
387#2296C2212yes—
388#2295C2211yescharacteristic
389#2293C2211yescharacteristic
390#2293C2211yescharacteristic
391#2293C2211yescharacteristic
392C2×#389C2211yescharacteristic
393#2290C2212yes—
394C4×#117C2211yescharacteristic
395#556—48no—
396#552—48no—
397#544—48no—
398#539—48no—
399#539—48no—
400C2×C4⋊Q8C2311yescharacteristic
401C2×C4⋊Q8C2311yescharacteristic
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2312yes—
404C2×C4⋊Q8C2312yes—
405C2×C4⋊Q8C2312yes—
406#529—48no—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#126C2312yes—
416C2×#126C2312yes—
417C2×#125C2312yes—
418C2×#125C2312yes—
419C2×#125C2312yes—
420C2×#125C2311yescharacteristic
421C2×#125C2312yes—
422C2×#125C2312yes—
423C2×#125C2312yes—
424C2×#125C2312yes—
425C2×#125C2312yes—
426C2×#125C2312yes—
427C2×#125C2312yes—
428C2×#125C2312yes—
429C2×#124C2311yescharacteristic
430C2×#124C2312yes—
431C2×#124C2312yes—
432C2×#124C2312yes—
433C2×#123C2312yes—
434C2×#123C2312yes—
435C2×#123C2312yes—
436C2×#123C2312yes—
437C2×#123C2312yes—
438C2×#123C2312yes—
439C2×#123C2312yes—
440C2×#123C2312yes—
441C2×#123C2312yes—
442C2×#123C2312yes—
443C2×#123C2312yes—
444C2×#123C2312yes—
445C2×#123C2312yes—
446C2×#123C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2311yescharacteristic
451C2×C22⋊Q8C2312yes—
452C2×C22⋊Q8C2312yes—
453C2×C22⋊Q8C2312yes—
454C2×C22⋊Q8C2312yes—
455C2×C22⋊Q8C2312yes—
456C2×C22⋊Q8C2312yes—
457C2×C22⋊Q8C2312yes—
458C2×C22⋊Q8C2312yes—
459C2×C22⋊Q8C2312yes—
460C2×C22⋊Q8C2312yes—
461C2×C22⋊Q8C2312yes—
462C2×C22⋊Q8C2312yes—
463C2×C22⋊Q8C2312yes—
464C2×C22⋊Q8C2312yes—
465C2×#121C2312yes—
466C2×#121C2311yescharacteristic
467C2×#121C2311yescharacteristic
468C2×#121C2311yescharacteristic
469C2×#121C2312yes—
470C2×#121C2312yes—
471C2×#121C2312yes—
472C2×#121C2312yes—
473C2×#121C2312yes—
474C2×#121C2312yes—
475C2×C4×Q8C2311yescharacteristic
476C2×C4×Q8C2312yes—
477C2×C4×Q8C2312yes—
478C2×C4×Q8C2312yes—
479C2×C4×Q8C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×#117C2311yescharacteristic
492C2×#117C2311yescharacteristic
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2311yescharacteristic
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2311yescharacteristic
500C2×#117C2312yes—
501C2×#117C2312yes—
502C22×C4⋊C4C2311yescharacteristic
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2311yescharacteristic
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2312yes—
507C22×C42C2312yes—
508C22×C42C2311yescharacteristic
509#401C2312yes—
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#399C2312yes—
542#399C2312yes—
543#399C2312yes—
544#399C2312yes—
545#399C2312yes—
546#399C2312yes—
547#399C2312yes—
548#399C2312yes—
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#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
597#398C2312yes—
598#398C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2312yes—
623#397C2312yes—
624#397C2312yes—
625#397C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#396C2312yes—
651#396C2312yes—
652#396C2312yes—
653#396C2312yes—
654#396C2312yes—
655#396C2312yes—
656#396C2312yes—
657#396C2312yes—
658#396C2312yes—
659#396C2312yes—
660#396C2312yes—
661#396C2312yes—
662#396C2312yes—
663#395C2312yes—
664#395C2312yes—
665#395C2312yes—
666#395C2312yes—
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
670#395C2312yes—
671#395C2312yes—
672#395C2312yes—
673#395C2312yes—
674#395C2312yes—
675#395C2312yes—
676#395C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#394C2312yes—
697#394C2312yes—
698#394C2312yes—
699#394C2312yes—
700#394C2312yes—
701#394C2312yes—
702#394C2312yes—
703#394C2312yes—
704#394C2312yes—
705#394C2312yes—
706#394C2312yes—
707#394C2312yes—
708#394C2312yes—
709#394C2312yes—
710#393C2312yes—
711#393C2312yes—
712#393C2312yes—
713#393C2312yes—
714#393C2312yes—
715#393C2312yes—
716#393C2312yes—
717#393C2312yes—
718#393C2312yes—
719#393C2312yes—
720#393C2312yes—
721#393C2312yes—
722#393C2312yes—
723#393C2312yes—
724#392C2312yes—
725#392C2312yes—
726#392C2312yes—
727#392C2312yes—
728#392C2312yes—
729#392C2312yes—
730#392C2312yes—
731#392C2312yes—
732#392C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2311yescharacteristic
737#391C2312yes—
738#391C2312yes—
739#391C2311yescharacteristic
740#391C2312yes—
741#391C2312yes—
742#391C2312yes—
743#391C2312yes—
744#391C2311yescharacteristic
745#391C2312yes—
746#391C2312yes—
747#391C2312yes—
748#391C2311yescharacteristic
749#391C2312yes—
750#391C2312yes—
751#391C2312yes—
752#391C2312yes—
753#391C2312yes—
754#390C2311yescharacteristic
755#390C2312yes—
756#390C2312yes—
757#390C2311yescharacteristic
758#390C2312yes—
759#390C2311yescharacteristic
760#390C2312yes—
761#390C2311yescharacteristic
762#390C2311yescharacteristic
763#390C2311yescharacteristic
764#390C2311yescharacteristic
765#390C2311yescharacteristic
766#390C2312yes—
767#390C2312yes—
768#390C2311yescharacteristic
769#390C2311yescharacteristic
770#390C2311yescharacteristic
771#390C2311yescharacteristic
772#390C2312yes—
773#390C2312yes—
774#390C2312yes—
775#390C2312yes—
776#390C2312yes—
777#390C2311yescharacteristic
778#390C2312yes—
779#390C2311yescharacteristic
780#390C2312yes—
781#389C2311yescharacteristic
782#389C2311yescharacteristic
783#389C2312yes—
784#389C2311yescharacteristic
785#389C2311yescharacteristic
786#389C2312yes—
787#389C2311yescharacteristic
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2311yescharacteristic
795#389C2311yescharacteristic
796#389C2311yescharacteristic
797#389C2312yes—
798#389C2312yes—
799#389C2311yescharacteristic
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
811#389C2312yes—
812#389C2312yes—
813#389C2312yes—
814#389C2312yes—
815#389C2312yes—
816#389C2312yes—
817#389C2312yes—
818#389C2311yescharacteristic
819#389C2312yes—
820#389C2311yescharacteristic
821#389C2311yescharacteristic
822#389C2312yes—
823#389C2312yes—
824#389C2312yes—
825#389C2311yescharacteristic
826#389C2312yes—
827#389C2312yes—
828#389C2312yes—
829#389C2312yes—
830#389C2312yes—
831#389C2312yes—
832#389C2311yescharacteristic
833#389C2311yescharacteristic
834#389C2311yescharacteristic
835#389C2311yescharacteristic
836#389C2311yescharacteristic
837#389C2311yescharacteristic
838#389C2311yescharacteristic
839#389C2312yes—
840#389C2311yescharacteristic
841#389C2311yescharacteristic
842#389C2311yescharacteristic
843#389C2312yes—
844#389C2311yescharacteristic
845#389C2311yescharacteristic
846#389C2312yes—
847#389C2312yes—
848#389C2312yes—
849#389C2312yes—
850#389C2312yes—
851#389C2312yes—
852#389C2312yes—
853#389C2312yes—
854#389C2311yescharacteristic
855#389C2311yescharacteristic
856#389C2311yescharacteristic
857#389C2311yescharacteristic
858#389C2312yes—
859#389C2311yescharacteristic
860#389C2312yes—
861#389C2312yes—
862#389C2312yes—
863#389C2312yes—
864#389C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
883#388C2312yes—
884#388C2312yes—
885#388C2312yes—
886#388C2312yes—
887#388C2312yes—
888#388C2312yes—
889#388C2312yes—
890#388C2312yes—
891#388C2312yes—
892#388C2312yes—
893#388C2312yes—
894#388C2312yes—
895#388C2312yes—
896#388C2312yes—
897#388C2312yes—
898#388C2312yes—
899#388C2312yes—
900#388C2312yes—
901#388C2312yes—
902#388C2312yes—
903#388C2312yes—
904#388C2312yes—
905#388C2312yes—
906#388C2312yes—
907#388C2312yes—
908#388C2312yes—
909#388C2312yes—
910#388C2312yes—
911#388C2312yes—
912#388C2312yes—
913#388C2312yes—
914#388C2312yes—
915#388C2312yes—
916#388C2312yes—
917#388C2312yes—
918#388C2312yes—
919#388C2312yes—
920#388C2312yes—
921#388C2312yes—
922#388C2312yes—
923#388C2312yes—
924#388C2312yes—
925#388C2312yes—
926#388C2312yes—
927#388C2312yes—
928#388C2312yes—
929#388C2312yes—
930#388C2312yes—
931#388C2312yes—
932#388C2312yes—
933#388C2312yes—
934#388C2312yes—
935#388C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
961#387C2312yes—
962#387C2312yes—
963#387C2312yes—
964#387C2312yes—
965#387C2312yes—
966#387C2312yes—
967#387C2312yes—
968#387C2312yes—
969#387C2312yes—
970#387C2312yes—
971#387C2312yes—
972#387C2312yes—
973#387C2312yes—
974#387C2312yes—
975#387C2312yes—
976#387C2312yes—
977#387C2312yes—
978#387C2312yes—
979#387C2312yes—
980#387C2312yes—
981#387C2312yes—
982#387C2312yes—
983#387C2312yes—
984#387C2312yes—
985#387C2312yes—
986#387C2312yes—
987#387C2312yes—
988#387C2312yes—
989#387C2312yes—
990#387C2312yes—
991#387C2312yes—
992#387C2312yes—
993#387C2312yes—
994#387C2312yes—
995#386C2312yes—
996#386C2312yes—
997#386C2312yes—
998#386C2312yes—
999#386C2312yes—
1000#386C2312yes—
1001#386C2312yes—
1002#386C2312yes—
1003#386C2312yes—
1004#386C2312yes—
1005#386C2312yes—
1006#386C2312yes—
1007#386C2312yes—
1008#386C2312yes—
1009#386C2312yes—
1010#386C2312yes—
1011#386C2312yes—
1012#386C2312yes—
1013#386C2312yes—
1014#386C2312yes—
1015#386C2312yes—
1016#386C2312yes—
1017#386C2312yes—
1018#386C2312yes—
1019#386C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#385C2312yes—
1026#385C2312yes—
1027#385C2312yes—
1028#385C2312yes—
1029#385C2312yes—
1030#385C2312yes—
1031#385C2312yes—
1032#385C2312yes—
1033#385C2312yes—
1034#385C2312yes—
1035#385C2312yes—
1036#385C2312yes—
1037#385C2312yes—
1038#385C2312yes—
1039#385C2312yes—
1040#385C2312yes—
1041#385C2312yes—
1042#385C2312yes—
1043#385C2312yes—
1044#385C2312yes—
1045#385C2312yes—
1046#385C2312yes—
1047#385C2312yes—
1048#385C2312yes—
1049#385C2312yes—
1050#385C2312yes—
1051#385C2312yes—
1052#385C2312yes—
1053#385C2312yes—
1054#385C2312yes—
1055#385C2312yes—
1056#385C2312yes—
1057#384C2311yescharacteristic
1058#384C2311yescharacteristic
1059#384C2311yescharacteristic
1060#384C2312yes—
1061#384C2311yescharacteristic
1062#384C2311yescharacteristic
1063#384C2311yescharacteristic
1064#383C2312yes—
1065#383C2312yes—
1066#383C2312yes—
1067#382C2312yes—
1068#382C2312yes—
1069#382C2312yes—
1070#382C2312yes—
1071#382C2311yescharacteristic
1072#382C2311yescharacteristic
1073#381C2312yes—
1074#381C2312yes—
1075#381C2312yes—
1076#381C2312yes—
1077#381C2312yes—
1078#380C2311yescharacteristic
1079#380C2312yes—
1080#380C2312yes—
1081#380C2312yes—
1082#380C2312yes—
1083#380C2311yescharacteristic
1084#380C2311yescharacteristic
1085#380C2312yes—
1086#380C2312yes—
1087#380C2312yes—
1088#380C2311yescharacteristic
1089#380C2312yes—
1090#380C2312yes—
1091#380C2312yes—
1092#380C2312yes—
1093#380C2312yes—
1094#380C2312yes—
1095#380C2312yes—
1096#380C2312yes—
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2311yescharacteristic
1099C4×C4⋊C4C2311yescharacteristic
1100C4×C4⋊C4C2311yescharacteristic
1101C4×C4⋊C4C2312yes—
1102C4×C4⋊C4C2311yescharacteristic
1103C4×C4⋊C4C2312yes—
1104C4×C4⋊C4C2312yes—
1105C4×C4⋊C4C2311yescharacteristic
1106C4×C4⋊C4C2312yes—
1107C4×C4⋊C4C2312yes—
1108C4×C4⋊C4C2311yescharacteristic
1109C4×C4⋊C4C2312yes—
1110C4×C4⋊C4C2312yes—
1111C4×C4⋊C4C2312yes—
1112C4×C4⋊C4C2312yes—
1113C4×C4⋊C4C2312yes—
1114C4×C4⋊C4C2311yescharacteristic
1115C4×C4⋊C4C2312yes—
1116C4×C4⋊C4C2312yes—
1117C4×C4⋊C4C2311yescharacteristic
1118C4×C4⋊C4C2311yescharacteristic
1119C4×C4⋊C4C2311yescharacteristic
1120C4×C4⋊C4C2312yes—
1121C4×C4⋊C4C2311yescharacteristic
1122C4×C4⋊C4C2311yescharacteristic
1123C4×C22⋊C4C2311yescharacteristic
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2311yescharacteristic
1134C4×C22⋊C4C2312yes—
1135C4×C22⋊C4C2312yes—
1136C4×C22⋊C4C2312yes—
1137C4×C22⋊C4C2312yes—
1138C4×C22⋊C4C2312yes—
1139C4×C22⋊C4C2311yescharacteristic
1140C4×C22⋊C4C2311yescharacteristic
1141#376C2311yescharacteristic
1142#376C2312yes—
1143#376C2312yes—
1144#376C2311yescharacteristic
1145C2×#95C2312yes—
1146C43C2311yescharacteristic
1147C43C2311yescharacteristic
1148C22×Q8C2412yes—
1149C22×Q8C2412yes—
1150C22×Q8C2412yes—
1151C22×Q8C2411yescharacteristic
1152C22×Q8C2412yes—
1153C22×Q8C2412yes—
1154C22×D4C2412yes—
1155C22×D4C2412yes—
1156C22×D4C2412yes—
1157C22×D4C2411yescharacteristic
1158C22×D4C2411yescharacteristic
1159C22×D4C2412yes—
1160C22×D4C2411yescharacteristic
1161C22×D4C2412yes—
1162C22×D4C2412yes—
1163C22×D4C2412yes—
1164C22×D4C2412yes—
1165C22×D4C2412yes—
1166C23×C4C2411yescharacteristic
1167C23×C4C2411yescharacteristic
1168C23×C4C2412yes—
1169C23×C4C2412yes—
1170C23×C4C2411yescharacteristic
1171C23×C4C2412yes—
1172C23×C4C2412yes—
1173C23×C4C2412yes—
1174C23×C4C2412yes—
1175C23×C4C2412yes—
1176C23×C4C2412yes—
1177C23×C4C2412yes—
1178C23×C4C2412yes—
1179C23×C4C2412yes—
1180C4⋊Q8—24no—
1181C4⋊Q8—24no—
1182C4⋊Q8—44no—
1183C4⋊Q8—44no—
1184C4⋊Q8—44no—
1185C4⋊Q8—44no—
1186#126—28no—
1187#126—28no—
1188#126—44no—
1189#126—44no—
1190#126—44no—
1191#126—44no—
1192#126—44no—
1193#126—44no—
1194#126—44no—
1195#126—44no—
1196#125—28no—
1197#125—28no—
1198#125—42no—
1199#125—44no—
1200#125—44no—
1201#125—44no—
1202#125—44no—
1203#125—44no—
1204#125—44no—
1205#125—44no—
1206#125—44no—
1207#125—44no—
1208#124—42no—
1209#124—44no—
1210#124—44no—
1211#124—44no—
1212#123—28no—
1213#123—44no—
1214#123—44no—
1215#123—44no—
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—
1226C22⋊Q8—28no—
1227C22⋊Q8—44no—
1228C22⋊Q8—42no—
1229C22⋊Q8—44no—
1230C22⋊Q8—44no—
1231C22⋊Q8—44no—
1232C22⋊Q8—44no—
1233C22⋊Q8—44no—
1234C22⋊Q8—44no—
1235C22⋊Q8—44no—
1236C22⋊Q8—44no—
1237C22⋊Q8—44no—
1238C22⋊Q8—44no—
1239C22⋊Q8—44no—
1240C22⋊Q8—44no—
1241C22⋊Q8—44no—
1242C22⋊Q8—44no—
1243C22⋊Q8—44no—
1244#121—44no—
1245#121—44no—
1246#121—44no—
1247#121—44no—
1248#121—44no—
1249#121—44no—
1250#121—42no—
1251#121—42no—
1252#121—42no—
1253#121—44no—
1254C4×Q8—24no—
1255C4×Q8—44no—
1256C4×Q8—44no—
1257C4×Q8—44no—
1258C4×Q8—44no—
1259C4×D4—24no—
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—
1270#117—24no—
1271#117—24no—
1272#117—28no—
1273#117—42no—
1274#117—44no—
1275#117—44no—
1276#117—44no—
1277#117—44no—
1278#117—44no—
1279#117—42no—
1280#117—44no—
1281C2×C4⋊C4—24no—
1282C2×C4⋊C4—44no—
1283C2×C4⋊C4—44no—
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⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2411yescharacteristic
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2411yescharacteristic
1330C2×C4⋊C4C2411yescharacteristic
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2411yescharacteristic
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2411yescharacteristic
1348C2×C4⋊C4C2411yescharacteristic
1349C2×C4⋊C4C2411yescharacteristic
1350C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2411yescharacteristic
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2411yescharacteristic
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2412yes—
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2412yes—
1381C2×C4⋊C4C2411yescharacteristic
1382C2×C4⋊C4C2412yes—
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2411yescharacteristic
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2412yes—
1387C2×C4⋊C4C2412yes—
1388C2×C4⋊C4C2412yes—
1389C2×C4⋊C4C2412yes—
1390C2×C4⋊C4C2412yes—
1391C2×C4⋊C4C2412yes—
1392C2×C4⋊C4C2412yes—
1393C2×C4⋊C4C2411yescharacteristic
1394C2×C4⋊C4C2411yescharacteristic
1395C2×C22⋊C4C2411yescharacteristic
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2411yescharacteristic
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2411yescharacteristic
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⋊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×C22⋊C4C2412yes—
1465C2×C22⋊C4C2412yes—
1466C2×C22⋊C4C2412yes—
1467C2×C22⋊C4C2412yes—
1468C2×C22⋊C4C2412yes—
1469C2×C22⋊C4C2412yes—
1470C2×C22⋊C4C2412yes—
1471C2×C22⋊C4C2412yes—
1472C2×C42—44no—
1473C2×C42—42no—
1474C2×C42C2411yescharacteristic
1475C2×C42C2412yes—
1476C2×C42C2411yescharacteristic
1477C2×C42C2412yes—
1478C2×C42C2411yescharacteristic
1479C2×C42C2412yes—
1480C2×C42C2411yescharacteristic
1481C2×C42C2412yes—
1482C2×C42C2412yes—
1483C2×C42C2411yescharacteristic
1484C2×C42C2411yescharacteristic
1485C2×C42C2412yes—
1486C2×C42C2412yes—
1487C2×C42C2412yes—
1488C2×C42C2412yes—
1489C2×C42C2412yes—
1490C2×C42C2412yes—
1491C2×C42C2411yescharacteristic
1492C2×C42C2412yes—
1493C2×C42C2412yes—
1494C2×C42C2412yes—
1495C2×C42C2412yes—
1496C2×C42C2412yes—
1497C2×C42C2412yes—
1498C2×C42C2412yes—
1499C2×C42C2412yes—
1500C2×C42C2412yes—
1501C2×C42C2411yescharacteristic
1502C2×C42C2411yescharacteristic
1503C2×C42C2411yescharacteristic
1504C2×C42C2411yescharacteristic
1505C2×C42C2411yescharacteristic
1506C2×C42C2411yescharacteristic
1507C2×C42C2412yes—
1508C2×C42C2411yescharacteristic
1509C2×C42C2411yescharacteristic
1510C2×C42C2411yescharacteristic
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2411yescharacteristic
1516#95C2411yescharacteristic
1517#95C2411yescharacteristic
1518#95C2411yescharacteristic
1519#95C2411yescharacteristic
1520#95C2411yescharacteristic
1521#95C2411yescharacteristic
1522#95C2411yescharacteristic
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
1615C2×Q8—22no—
1616C2×Q8—24no—
1617C2×Q8—24no—
1618C2×Q8—24no—
1619C2×Q8—42no—
1620C2×Q8—42no—
1621C2×Q8—42no—
1622C2×Q8—42no—
1623C2×Q8—41no—
1624C2×Q8—42no—
1625C2×Q8—42no—
1626C2×Q8—42no—
1627C2×Q8—41no—
1628C2×Q8—42no—
1629C2×Q8—42no—
1630C2×Q8—42no—
1631C2×Q8—42no—
1632C2×Q8—42no—
1633C2×D4—24no—
1634C2×D4—24no—
1635C2×D4—24no—
1636C2×D4—22no—
1637C2×D4—22no—
1638C2×D4—22no—
1639C2×D4—24no—
1640C2×D4—42no—
1641C2×D4—42no—
1642C2×D4—42no—
1643C2×D4—42no—
1644C2×D4—42no—
1645C2×D4—42no—
1646C2×D4—42no—
1647C2×D4—42no—
1648C2×D4—41no—
1649C2×D4—41no—
1650C2×D4—41no—
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—41no—
1661C2×D4—42no—
1662C2×D4—42no—
1663C2×D4—42no—
1664C2×D4—42no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C22×C4—22no—
1670C22×C4—22no—
1671C22×C4—22no—
1672C22×C4—24no—
1673C22×C4—24no—
1674C22×C4—22no—
1675C22×C4—22no—
1676C22×C4—24no—
1677C22×C4—22no—
1678C22×C4—24no—
1679C22×C4—24no—
1680C22×C4—24no—
1681C22×C4—24no—
1682C22×C4—24no—
1683C22×C4—24no—
1684C22×C4—42no—
1685C22×C4—41no—
1686C22×C4—41no—
1687C22×C4—41no—
1688C22×C4—42no—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—42no—
1694C22×C4—42no—
1695C22×C4—42no—
1696C22×C4—42no—
1697C22×C4—42no—
1698C22×C4—42no—
1699C22×C4—42no—
1700C22×C4—42no—
1701C22×C4—42no—
1702C22×C4—42no—
1703C22×C4—42no—
1704C22×C4—42no—
1705C22×C4—42no—
1706C22×C4—42no—
1707C22×C4—42no—
1708C22×C4—42no—
1709C22×C4—42no—
1710C22×C4—42no—
1711C22×C4C2511yescharacteristic
1712C22×C4C2512yes—
1713C22×C4C2511yescharacteristic
1714C22×C4C2511yescharacteristic
1715C22×C4C2511yescharacteristic
1716C22×C4C2511yescharacteristic
1717C22×C4C2512yes—
1718C22×C4C2512yes—
1719C22×C4C2512yes—
1720C22×C4C2512yes—
1721C22×C4C2512yes—
1722C22×C4C2512yes—
1723C22×C4C2512yes—
1724C22×C4C2512yes—
1725C22×C4C2512yes—
1726C22×C4C2511yescharacteristic
1727C22×C4C2512yes—
1728C22×C4C2512yes—
1729C22×C4C2512yes—
1730C22×C4C2512yes—
1731C22×C4C2512yes—
1732C22×C4C2512yes—
1733C22×C4C2512yes—
1734C22×C4C2512yes—
1735C22×C4C2511yescharacteristic
1736C22×C4C2511yescharacteristic
1737C22×C4C2512yes—
1738C22×C4C2512yes—
1739C22×C4C2511yescharacteristic
1740C22×C4C2511yescharacteristic
1741C22×C4C2511yescharacteristic
1742C22×C4C2511yescharacteristic
1743C22×C4C2511yescharacteristic
1744C22×C4C2512yes—
1745C22×C4C2511yescharacteristic
1746C4⋊C4—24no—
1747C4⋊C4—22no—
1748C4⋊C4—24no—
1749C4⋊C4—24no—
1750C4⋊C4—24no—
1751C4⋊C4—24no—
1752C4⋊C4—24no—
1753C4⋊C4—24no—
1754C4⋊C4—24no—
1755C4⋊C4—22no—
1756C4⋊C4—22no—
1757C4⋊C4—24no—
1758C4⋊C4—24no—
1759C4⋊C4—24no—
1760C4⋊C4—24no—
1761C4⋊C4—24no—
1762C4⋊C4—22no—
1763C4⋊C4—24no—
1764C4⋊C4—24no—
1765C4⋊C4—24no—
1766C4⋊C4—22no—
1767C4⋊C4—24no—
1768C4⋊C4—24no—
1769C4⋊C4—24no—
1770C4⋊C4—24no—
1771C4⋊C4—24no—
1772C4⋊C4—22no—
1773C4⋊C4—24no—
1774C4⋊C4—24no—
1775C4⋊C4—22no—
1776C4⋊C4—24no—
1777C4⋊C4—24no—
1778C4⋊C4—22no—
1779C4⋊C4—22no—
1780C4⋊C4—24no—
1781C4⋊C4—24no—
1782C4⋊C4—24no—
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—41no—
1794C4⋊C4—41no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—41no—
1805C4⋊C4—41no—
1806C4⋊C4—41no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—42no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—41no—
1818C4⋊C4—41no—
1819C4⋊C4—41no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—41no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—42no—
1832C4⋊C4—42no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊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—41no—
1847C4⋊C4—41no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4H(5,𝔽2)14yes—
1854C4⋊C42−1+414yes—
1855C22⋊C4—24no—
1856C22⋊C4—24no—
1857C22⋊C4—22no—
1858C22⋊C4—22no—
1859C22⋊C4—24no—
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—22no—
1877C22⋊C4—24no—
1878C22⋊C4—24no—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4—41no—
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—
1931C22⋊C4—42no—
1932C42—24no—
1933C42—24no—
1934C42—24no—
1935C42—22no—
1936C42—22no—
1937C42—22no—
1938C42—24no—
1939C42—24no—
1940C42—22no—
1941C42—22no—
1942C42—22no—
1943C42—41no—
1944C42—41no—
1945C42—41no—
1946C42—41no—
1947C42—42no—
1948C42—42no—
1949C42—41no—
1950C42—42no—
1951C42—41no—
1952C42—41no—
1953C42—41no—
1954C42—41no—
1955C42—42no—
1956C42—42no—
1957C42—42no—
1958C42—42no—
1959C42—42no—
1960C42—42no—
1961C42—42no—
1962C42—42no—
1963C42—42no—
1964C42—42no—
1965C42—42no—
1966C42—42no—
1967C42—42no—
1968C42H(5,𝔽2)14yes—
1969C23—21no—
1970C23—21no—
1971C23—21no—
1972C23—21no—
1973C23—21no—
1974C23—21no—
1975C23—22no—
1976C23—22no—
1977C23—22no—
1978C23—22no—
1979C23—22no—
1980C23—22no—
1981C23—22no—
1982C23—22no—
1983C23—22no—
1984C23—22no—
1985C23—22no—
1986C23—22no—
1987C23—22no—
1988C23—22no—
1989C23—22no—
1990C23—22no—
1991C23—22no—
1992C23—22no—
1993C23—22no—
1994C23—22no—
1995C23—22no—
1996C23#58512yes—
1997C23C2611yescharacteristic
1998Q8—82no—
1999Q8—84no—
2000Q8—84no—
2001Q8—84no—
2002Q8—84no—
2003Q8—162no—
2004D4—82no—
2005D4—84no—
2006D4—82no—
2007D4—82no—
2008D4—84no—
2009D4—84no—
2010D4—84no—
2011D4—84no—
2012D4—84no—
2013D4—84no—
2014D4—84no—
2015D4—162no—
2016C2×C4—21no—
2017C2×C4—21no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—21no—
2021C2×C4—21no—
2022C2×C4—21no—
2023C2×C4—21no—
2024C2×C4—21no—
2025C2×C4—21no—
2026C2×C4—22no—
2027C2×C4—21no—
2028C2×C4—21no—
2029C2×C4—21no—
2030C2×C4—21no—
2031C2×C4—22no—
2032C2×C4—21no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—21no—
2041C2×C4—21no—
2042C2×C4—21no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—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—21no—
2062C2×C4—21no—
2063C2×C4—22no—
2064C2×C4—21no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—21no—
2069C2×C4—21no—
2070C2×C4—21no—
2071C2×C4—21no—
2072C2×C4—22no—
2073C2×C4—21no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—21no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—22no—
2084C2×C4—21no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—21no—
2093C2×C4—21no—
2094C2×C4—21no—
2095C2×C4—21no—
2096C2×C4—22no—
2097C2×C4—21no—
2098C2×C4—22no—
2099C2×C4—21no—
2100C2×C4—21no—
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—21no—
2112C2×C4—22no—
2113C2×C4—48no—
2114C2×C4—48no—
2115C2×C4—44no—
2116C2×C4—44no—
2117C2×C4—44no—
2118C2×C4—84no—
2119C2×C4—84no—
2120C2×C4—84no—
2121C2×C4—84no—
2122C2×C4—84no—
2123C2×C4—84no—
2124C2×C4—84no—
2125C2×C4—162no—
2126C2×C4—162no—
2127C2×C4C2×H(5,𝔽2)12yes—
2128C2×C4C2×H(5,𝔽2)12yes—
2129C2×C4C2×H(5,𝔽2)12yes—
2130C2×C4C2×H(5,𝔽2)14yes—
2131C2×C4C2×H(5,𝔽2)12yes—
2132C2×C4C2×2−1+412yes—
2133C2×C4C2×2−1+414yes—
2134C2×C4#58512yes—
2135C22—22no—
2136C22—22no—
2137C22—22no—
2138C22—41no—
2139C22—41no—
2140C22—41no—
2141C22—41no—
2142C22—42no—
2143C22—42no—
2144C22—42no—
2145C22—42no—
2146C22—42no—
2147C22—42no—
2148C22—42no—
2149C22—42no—
2150C22—42no—
2151C22—42no—
2152C22—42no—
2153C22—42no—
2154C22—42no—
2155C22—42no—
2156C22—42no—
2157C22—42no—
2158C22—42no—
2159C22—42no—
2160C22—42no—
2161C22—42no—
2162C22—42no—
2163C22C22×H(5,𝔽2)11yescharacteristic
2164C22C22×H(5,𝔽2)11yescharacteristic
2165C22C22×2−1+411yescharacteristic
2166C22C2×#58511yescharacteristic
2167C22C2×#58511yescharacteristic
2168C222−1+611yescharacteristic
2169C222−1+611yescharacteristic
2170C4—22no—
2171C4—22no—
2172C4—24no—
2173C4—22no—
2174C4—24no—
2175C4—22no—
2176C4—22no—
2177C4—22no—
2178C4—41no—
2179C4—42no—
2180C4—42no—
2181C4—42no—
2182C4—42no—
2183C4—42no—
2184C4—42no—
2185C4—42no—
2186C4—41no—
2187C4—41no—
2188C4—41no—
2189C4—42no—
2190C4—42no—
2191C4—42no—
2192C4—42no—
2193C4—42no—
2194C4—42no—
2195C4—41no—
2196C4—41no—
2197C4—42no—
2198C4—42no—
2199C4—42no—
2200C4—42no—
2201C4—41no—
2202C4—41no—
2203C4—42no—
2204C4—42no—
2205C2—42no—
2206C2—82no—
2207C2—82no—
2208C2—82no—
2209C2#6274811yescharacteristic
2210C2#6291411yescharacteristic
2211C2#6292711yescharacteristic
2212C2#6292811yescharacteristic
2213C2#6294611yescharacteristic
2214C2#6301511yescharacteristic
2215C2#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. #59513C2semidirect
2. #58949C2semidirect
3. #58912C2semidirect
4. #58579C2semidirect
5. #58436C2semidirect
6. #58432C2semidirect
7. #58250C2semidirect
8. #58101C2semidirect
9. #57439C2semidirect
10. #53377C2semidirect
11. #53298C2semidirect
12. #52591C2semidirect
13. #52152C2semidirect
14. #50471C2semidirect
15. #49855C2semidirect
16. #46596C2semidirect
17. #46383C2semidirect
18. #46289C2semidirect
19. #45962C2semidirect
20. #45798C2semidirect
21. #44393C2semidirect
22. #44364C2semidirect
23. #44248C2semidirect
24. #42082C2semidirect
25. #41352C2semidirect
26. #39959C2semidirect
27. #39637C2semidirect
28. #39365C2semidirect
29. #38678C2semidirect
30. #38447C2semidirect
31. #38435C2semidirect
32. #37804C2semidirect
33. #37759C2semidirect
34. #37256C2semidirect
35. #37131C2semidirect
36. #37130C2semidirect
37. #36367C2semidirect
38. #36265C2semidirect
39. #35300C2semidirect

Maximal subgroups

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

subgroupindex
#595132
#589492
#589122
#585792
#584362
#584322
#582502
#581012
#574392
#533772
#532982
#525912
#521522
#504712
#498552
#465962
#463832
#462892
#459622
#457982
#443932
#443642
#442482
#420822
#413522
#399592
#396372
#393652
#386782
#384472
#384352
#378042
#377592
#372562
#371312
#371302
#363672
#362652
#353002