Finite Group Databasebeta

← #9713664

Subgroups — #9713664

Order 512.

4733 conjugacy classes of subgroups.

The subgroup lattice has 2230 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59418C211yesmaximal, characteristic, complemented
2#59082C212yesmaximal, complemented
3#58030C212yesmaximal, complemented
4#57153C212yesmaximal, complemented
5#56624C212yesmaximal, complemented
6#56204C212yesmaximal, complemented
7#55593C212yesmaximal, complemented
8#55342C212yesmaximal, complemented
9#54972C212yesmaximal, complemented
10#54234C212yesmaximal, complemented
11#53509C212yesmaximal, complemented
12#52018C212yesmaximal, complemented
13#51804C212yesmaximal, complemented
14#51333C212yesmaximal, complemented
15#50815C212yesmaximal, complemented
16#50745C212yesmaximal, complemented
17#50321C212yesmaximal, complemented
18#50135C212yesmaximal, complemented
19#49575C212yesmaximal, complemented
20#49558C212yesmaximal, complemented
21#48403C212yesmaximal, complemented
22#48004C212yesmaximal, complemented
23#47982C212yesmaximal, complemented
24#46149C211yesmaximal, characteristic, complemented
25#46115C212yesmaximal, complemented
26#46024C211yesmaximal, characteristic, complemented
27#45786C212yesmaximal, complemented
28#40125C212yesmaximal, complemented
29#39705C212yesmaximal, complemented
30#38964C211yesmaximal, characteristic, complemented
31#38831C211yesmaximal, characteristic, complemented
32#38831C211yesmaximal, characteristic, complemented
33#37734C212yesmaximal, complemented
34#37276C212yesmaximal, complemented
35#37251C211yesmaximal, characteristic, complemented
36C2×#563C2211yescharacteristic
37C2×#562C2211yescharacteristic
38C2×#562C2212yes—
39C2×#557C2211yescharacteristic
40C2×#547C2211yescharacteristic
41C2×#542C2212yes—
42C2×#540C2212yes—
43C2×#529C2212yes—
44#2861C2211yescharacteristic
45#2861C2211yescharacteristic
46#2859C2211yescharacteristic
47#2856C2212yes—
48#2854C2212yes—
49#2851C2212yes—
50#2839C2212yes—
51#2837C2212yes—
52#2830C2212yes—
53#2829C2212yes—
54#2827C2212yes—
55#2822C2211yescharacteristic
56#2820C2211yescharacteristic
57#2820C2211yescharacteristic
58#2819C2211yescharacteristic
59#2819C2212yes—
60#2816C2212yes—
61#2813C2212yes—
62#2813C2212yes—
63#2808C2211yescharacteristic
64#2807C2212yes—
65#2806C2211yescharacteristic
66#2806C2211yescharacteristic
67#2806C2211yescharacteristic
68#2803C2212yes—
69#2803C2212yes—
70#2803C2212yes—
71#2802C2212yes—
72#2798C2212yes—
73#2795C2212yes—
74#2792C2212yes—
75#2788C2212yes—
76#2788C2212yes—
77#2784C2212yes—
78#2784C2212yes—
79#2784C2212yes—
80#2781C2212yes—
81#2781C2212yes—
82#2781C2212yes—
83#2780C2212yes—
84#2780C2212yes—
85#2779C2212yes—
86#2779C2212yes—
87#2772C2212yes—
88#2768C2212yes—
89#2768C2212yes—
90#2763C2212yes—
91#2763C2212yes—
92#2761C2212yes—
93#2755C2212yes—
94#2753C2212yes—
95#2753C2212yes—
96#2750C2212yes—
97#2742C2212yes—
98#2741C2212yes—
99#2739C2212yes—
100#2733C2212yes—
101#2733C2211yescharacteristic
102#2733C2212yes—
103#2733C2211yescharacteristic
104#2733C2211yescharacteristic
105#2733C2211yescharacteristic
106#2732C2212yes—
107#2732C2211yescharacteristic
108#2731C2212yes—
109#2730C2212yes—
110#2729C2212yes—
111#2729C2212yes—
112#2729C2212yes—
113#2728C2212yes—
114#2725C2212yes—
115#2725C2212yes—
116#2720C2212yes—
117#2720C2212yes—
118#2720C2212yes—
119#2718C2212yes—
120#2718C2212yes—
121#2718C2212yes—
122#2717C2212yes—
123#2714C2212yes—
124#2714C2212yes—
125#2712C2212yes—
126#2712C2212yes—
127#2712C2212yes—
128#2710C2212yes—
129#2710C2212yes—
130#2707C2212yes—
131#2707C2212yes—
132#2707C2212yes—
133#2707C2212yes—
134#2706C2212yes—
135#2706C2212yes—
136#2705C2212yes—
137#2705C2212yes—
138#2705C2212yes—
139#2704C2212yes—
140#2704C2212yes—
141#2704C2212yes—
142#2703C2212yes—
143#2703C2212yes—
144#2702C2212yes—
145#2702C2212yes—
146#2701C2212yes—
147#2701C2212yes—
148#2696C2212yes—
149#2696C2212yes—
150#2695C2212yes—
151#2695C2212yes—
152#2692C2212yes—
153#2691C2212yes—
154#2691C2212yes—
155#2691C2212yes—
156#2689C2212yes—
157#2687C2212yes—
158#2686C2212yes—
159#2686C2212yes—
160#2683C2212yes—
161#2682C2211yescharacteristic
162#2682C2212yes—
163#2682C2212yes—
164#2682C2212yes—
165#2682C2212yes—
166#2682C2212yes—
167#2682C2211yescharacteristic
168#2682C2212yes—
169#2682C2211yescharacteristic
170#2681C2212yes—
171#2681C2212yes—
172#2681C2212yes—
173#2681C2212yes—
174#2680C2212yes—
175#2676C2212yes—
176#2676C2212yes—
177#2676C2212yes—
178#2676C2212yes—
179#2676C2212yes—
180#2675C2212yes—
181#2675C2212yes—
182#2675C2212yes—
183#2674C2212yes—
184#2674C2212yes—
185#2674C2212yes—
186#2673C2212yes—
187#2673C2212yes—
188#2672C2212yes—
189#2672C2212yes—
190#2672C2212yes—
191#2672C2212yes—
192#2672C2212yes—
193#2672C2212yes—
194#2672C2212yes—
195#2671C2212yes—
196#2671C2212yes—
197#2671C2212yes—
198#2671C2212yes—
199#2667C2212yes—
200#2665C2212yes—
201#2664C2212yes—
202#2662C2212yes—
203#2662C2212yes—
204#2662C2212yes—
205#2661C2212yes—
206#2661C2212yes—
207#2661C2212yes—
208#2659C2212yes—
209#2654C2212yes—
210#2651C2212yes—
211#2650C2212yes—
212#2648C2212yes—
213#2635C2212yes—
214#2630C2212yes—
215#2629C2212yes—
216#2628C2212yes—
217#2619C2212yes—
218#2618C2212yes—
219#2615C2212yes—
220#2602C2212yes—
221#2602C2212yes—
222#2601C2212yes—
223#2601C2212yes—
224#2593C2212yes—
225#2593C2212yes—
226#2592C2212yes—
227#2590C2212yes—
228#2589C2212yes—
229#2589C2212yes—
230#2587C2212yes—
231#2585C2212yes—
232#2584C2212yes—
233#2580C2212yes—
234#2580C2212yes—
235#2579C2212yes—
236#2579C2212yes—
237#2574C2212yes—
238#2574C2212yes—
239#2571C2211yescharacteristic
240#2567C2212yes—
241#2559C2212yes—
242#2559C2212yes—
243#2558C2212yes—
244#2558C2212yes—
245#2558C2212yes—
246#2558C2212yes—
247#2558C2212yes—
248#2558C2212yes—
249#2555C2212yes—
250#2555C2212yes—
251#2555C2212yes—
252#2555C2212yes—
253#2555C2212yes—
254#2554C2212yes—
255#2554C2212yes—
256#2553C2212yes—
257#2551C2211yescharacteristic
258#2549C2212yes—
259#2549C2212yes—
260#2549C2212yes—
261#2545C2212yes—
262#2545C2212yes—
263#2540C2212yes—
264#2540C2212yes—
265#2538C2211yescharacteristic
266#2538C2211yescharacteristic
267#2538C2212yes—
268#2537C2212yes—
269#2535C2212yes—
270#2522C2212yes—
271#2520C2212yes—
272#2519C2212yes—
273#2519C2212yes—
274#2512C2212yes—
275#2508C2212yes—
276#2497C2212yes—
277#2491C2212yes—
278#2491C2212yes—
279#2491C2212yes—
280#2490C2212yes—
281#2489C2212yes—
282#2488C2212yes—
283#2476C2212yes—
284#2475C2212yes—
285#2475C2212yes—
286#2475C2212yes—
287#2474C2212yes—
288#2474C2212yes—
289#2473C2212yes—
290#2471C2212yes—
291#2470C2212yes—
292#2469C2212yes—
293#2469C2212yes—
294#2469C2212yes—
295#2465C2212yes—
296#2465C2212yes—
297#2464C2212yes—
298#2464C2212yes—
299#2464C2212yes—
300#2464C2212yes—
301#2464C2212yes—
302#2462C2212yes—
303#2461C2212yes—
304#2461C2212yes—
305#2461C2212yes—
306#2460C2212yes—
307#2460C2212yes—
308#2460C2212yes—
309#2458C2212yes—
310#2457C2212yes—
311#2456C2212yes—
312#2456C2212yes—
313#2456C2212yes—
314#2456C2212yes—
315#2455C2212yes—
316#2454C2212yes—
317#2452C2212yes—
318#2452C2212yes—
319#2451C2212yes—
320#2450C2212yes—
321#2447C2212yes—
322#2445C2212yes—
323#2444C2212yes—
324#2444C2212yes—
325#2442C2212yes—
326#2440C2212yes—
327#2439C2212yes—
328#2439C2212yes—
329#2432C2212yes—
330#2431C2212yes—
331#2430C2212yes—
332#2429C2212yes—
333#2429C2212yes—
334#2429C2212yes—
335#2426C2212yes—
336#2426C2212yes—
337#2426C2212yes—
338#2426C2212yes—
339#2425C2212yes—
340#2425C2212yes—
341#2425C2212yes—
342#2421C2212yes—
343#2416C2212yes—
344#2416C2212yes—
345#2416C2212yes—
346#2414C2212yes—
347#2414C2212yes—
348#2414C2212yes—
349#2413C2212yes—
350#2407C2212yes—
351#2382C2211yescharacteristic
352#2379C2211yescharacteristic
353#2376C2212yes—
354#2376C2212yes—
355#2376C2212yes—
356#2370C2212yes—
357#2367C2212yes—
358#2367C2212yes—
359#2367C2212yes—
360#2365C2212yes—
361#2360C2212yes—
362#2359C2212yes—
363#2354C2211yescharacteristic
364D4×C4⋊C4C2211yescharacteristic
365#2341C2212yes—
366#2335C2212yes—
367#2335C2212yes—
368#2335C2212yes—
369#2335C2212yes—
370#2325C2212yes—
371#2317C2212yes—
372C4×C4⋊Q8C2211yescharacteristic
373C4×#124C2211yescharacteristic
374C4×#124C2211yescharacteristic
375C4×C22⋊Q8C2212yes—
376C4×C22⋊Q8C2212yes—
377C4×#123C2212yes—
378#2293C2211yescharacteristic
379C22×#41C2312yes—
380#563—44no—
381#562—48no—
382#562—44no—
383#557—44no—
384#547—44no—
385#542—48no—
386#540—48no—
387C2×C4⋊Q8C2311yescharacteristic
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
390C2×C4⋊Q8C2312yes—
391C2×C4⋊Q8C2312yes—
392C2×#127C2312yes—
393#529—48no—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#125C2312yes—
401C2×#125C2311yescharacteristic
402C2×#125C2311yescharacteristic
403C2×#125C2311yescharacteristic
404C2×#125C2311yescharacteristic
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#124C2312yes—
410C2×#124C2311yescharacteristic
411C2×#124C2311yescharacteristic
412C2×#124C2311yescharacteristic
413C2×#124C2311yescharacteristic
414C2×#124C2312yes—
415C2×#124C2312yes—
416C2×#124C2312yes—
417C2×#124C2312yes—
418C2×#124C2312yes—
419C2×#124C2312yes—
420C2×#124C2312yes—
421C2×#124C2312yes—
422C2×#124C2312yes—
423C2×#124C2312yes—
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×#123C2312yes—
438C2×#123C2312yes—
439C2×#123C2312yes—
440C2×#123C2312yes—
441C2×#123C2312yes—
442C2×#123C2312yes—
443C2×#123C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
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×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×#121C2312yes—
466C2×#121C2312yes—
467C2×#121C2312yes—
468C2×#121C2312yes—
469C2×#121C2312yes—
470C2×#121C2312yes—
471C2×#121C2312yes—
472C2×#121C2312yes—
473C2×#121C2312yes—
474C2×#121C2312yes—
475C2×#121C2312yes—
476C2×#121C2312yes—
477C2×#121C2312yes—
478C2×#121C2312yes—
479C2×#121C2312yes—
480C2×#121C2312yes—
481C2×#121C2312yes—
482C2×#121C2312yes—
483C2×#121C2312yes—
484C2×#121C2312yes—
485C2×#121C2312yes—
486C2×#121C2312yes—
487C2×C4×Q8C2312yes—
488C2×C4×Q8C2312yes—
489C2×C4×Q8C2312yes—
490C2×C4×Q8C2312yes—
491C2×C4×Q8C2311yescharacteristic
492C2×C4×Q8C2311yescharacteristic
493C2×C4×Q8C2312yes—
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2311yescharacteristic
502C2×C4×D4C2311yescharacteristic
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×C4×D4C2312yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2312yes—
512C22×C42C2312yes—
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#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
541#399C2312yes—
542#399C2312yes—
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#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
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#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
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#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#393C2312yes—
706#393C2312yes—
707#393C2312yes—
708#393C2312yes—
709#393C2312yes—
710#393C2312yes—
711#393C2312yes—
712#393C2312yes—
713#392C2312yes—
714#392C2312yes—
715#392C2312yes—
716#392C2312yes—
717#392C2312yes—
718#392C2312yes—
719#392C2312yes—
720#392C2312yes—
721#392C2312yes—
722#392C2312yes—
723#392C2312yes—
724#392C2312yes—
725#392C2312yes—
726#392C2312yes—
727#392C2312yes—
728#392C2312yes—
729#392C2312yes—
730#392C2312yes—
731#392C2312yes—
732#392C2312yes—
733#392C2312yes—
734#392C2312yes—
735#392C2312yes—
736#392C2312yes—
737#392C2312yes—
738#392C2312yes—
739#392C2312yes—
740#392C2312yes—
741#391C2312yes—
742#391C2312yes—
743#391C2312yes—
744#391C2312yes—
745#391C2312yes—
746#391C2311yescharacteristic
747#391C2312yes—
748#391C2312yes—
749#391C2311yescharacteristic
750#391C2311yescharacteristic
751#391C2311yescharacteristic
752#391C2311yescharacteristic
753#391C2312yes—
754#391C2312yes—
755#391C2312yes—
756#391C2311yescharacteristic
757#391C2312yes—
758#391C2312yes—
759#390C2312yes—
760#390C2312yes—
761#390C2311yescharacteristic
762#390C2312yes—
763#390C2312yes—
764#390C2312yes—
765#390C2312yes—
766#390C2312yes—
767#390C2312yes—
768#390C2312yes—
769#390C2312yes—
770#390C2312yes—
771#390C2311yescharacteristic
772#390C2312yes—
773#390C2312yes—
774#390C2312yes—
775#390C2312yes—
776#390C2312yes—
777#390C2312yes—
778#390C2312yes—
779#390C2312yes—
780#390C2312yes—
781#390C2312yes—
782#390C2311yescharacteristic
783#390C2311yescharacteristic
784#390C2311yescharacteristic
785#390C2311yescharacteristic
786#390C2312yes—
787#390C2312yes—
788#390C2312yes—
789#390C2312yes—
790#390C2311yescharacteristic
791#390C2312yes—
792#390C2312yes—
793#390C2312yes—
794#390C2312yes—
795#390C2312yes—
796#390C2311yescharacteristic
797#389C2311yescharacteristic
798#389C2311yescharacteristic
799#389C2312yes—
800#389C2311yescharacteristic
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#389C2312yes—
819#389C2312yes—
820#389C2312yes—
821#389C2312yes—
822#389C2312yes—
823#389C2312yes—
824#389C2312yes—
825#389C2311yescharacteristic
826#389C2312yes—
827#389C2312yes—
828#389C2312yes—
829#389C2312yes—
830#389C2312yes—
831#389C2312yes—
832#389C2312yes—
833#389C2312yes—
834#389C2312yes—
835#389C2312yes—
836#389C2312yes—
837#389C2312yes—
838#389C2312yes—
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#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#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#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#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#385C2312yes—
1026#385C2312yes—
1027#385C2312yes—
1028#385C2312yes—
1029#385C2312yes—
1030#385C2312yes—
1031#384C2311yescharacteristic
1032#384C2312yes—
1033#384C2312yes—
1034#384C2311yescharacteristic
1035#384C2311yescharacteristic
1036#382C2311yescharacteristic
1037#382C2312yes—
1038#382C2311yescharacteristic
1039#382C2311yescharacteristic
1040#382C2312yes—
1041#382C2312yes—
1042#382C2312yes—
1043#382C2312yes—
1044#382C2311yescharacteristic
1045#381C2312yes—
1046#381C2312yes—
1047#381C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070C4×C4⋊C4C2311yescharacteristic
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2311yescharacteristic
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2311yescharacteristic
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊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—
1103C2×#95C2312yes—
1104C2×#95C2312yes—
1105C43C2311yescharacteristic
1106C2×#41—44no—
1107C2×#41—44no—
1108C2×#41—82no—
1109C22×Q8C2412yes—
1110C22×Q8C2412yes—
1111C22×Q8C2411yescharacteristic
1112C22×Q8C2412yes—
1113C22×Q8C2411yescharacteristic
1114C22×Q8C2412yes—
1115C22×Q8C2411yescharacteristic
1116C22×Q8C2411yescharacteristic
1117C22×D4C2411yescharacteristic
1118C22×D4C2411yescharacteristic
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2411yescharacteristic
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2411yescharacteristic
1131C22×D4C2412yes—
1132C22×D4C2412yes—
1133C22×D4C2412yes—
1134C22×D4C2412yes—
1135C22×D4C2412yes—
1136C22×D4C2412yes—
1137C22×D4C2412yes—
1138C22×D4C2412yes—
1139C22×D4C2412yes—
1140C22×D4C2412yes—
1141C22×D4C2411yescharacteristic
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C23×C4C2412yes—
1148C23×C4C2412yes—
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2412yes—
1153C23×C4C2412yes—
1154C23×C4C2412yes—
1155C23×C4C2412yes—
1156C23×C4C2412yes—
1157C4⋊Q8—28no—
1158C4⋊Q8—24no—
1159C4⋊Q8—44no—
1160C4⋊Q8—82no—
1161C4⋊Q8—82no—
1162#127—44no—
1163#126—44no—
1164#126—44no—
1165#126—44no—
1166#126—44no—
1167#126—44no—
1168#126—44no—
1169#125—28no—
1170#125—42no—
1171#125—44no—
1172#125—44no—
1173#125—42no—
1174#125—42no—
1175#125—42no—
1176#125—44no—
1177#125—44no—
1178#124—28no—
1179#124—24no—
1180#124—42no—
1181#124—44no—
1182#124—44no—
1183#124—44no—
1184#124—42no—
1185#124—42no—
1186#124—44no—
1187#124—44no—
1188#124—44no—
1189#124—82no—
1190#124—82no—
1191#124—82no—
1192#124—82no—
1193#123—28no—
1194#123—28no—
1195#123—28no—
1196#123—28no—
1197#123—44no—
1198#123—44no—
1199#123—44no—
1200#123—44no—
1201#123—44no—
1202#123—44no—
1203#123—44no—
1204#123—44no—
1205#123—44no—
1206#123—44no—
1207#123—44no—
1208#123—44no—
1209#123—44no—
1210#123—44no—
1211#123—82no—
1212#123—82no—
1213C22⋊Q8—28no—
1214C22⋊Q8—28no—
1215C22⋊Q8—44no—
1216C22⋊Q8—44no—
1217C22⋊Q8—44no—
1218C22⋊Q8—44no—
1219C22⋊Q8—44no—
1220C22⋊Q8—44no—
1221C22⋊Q8—44no—
1222C22⋊Q8—44no—
1223C22⋊Q8—44no—
1224C22⋊Q8—44no—
1225C22⋊Q8—82no—
1226C22⋊Q8—82no—
1227C22⋊Q8—82no—
1228C22⋊Q8—82no—
1229#121—44no—
1230#121—44no—
1231#121—44no—
1232#121—44no—
1233#121—44no—
1234#121—44no—
1235#121—44no—
1236#121—44no—
1237#121—44no—
1238#121—44no—
1239#121—44no—
1240#121—44no—
1241#121—44no—
1242#121—44no—
1243#121—44no—
1244#121—44no—
1245#121—82no—
1246#121—82no—
1247#121—82no—
1248#121—82no—
1249#121—82no—
1250#121—82no—
1251#121—82no—
1252#121—82no—
1253#121—82no—
1254#121—82no—
1255#121—82no—
1256C4×Q8—44no—
1257C4×Q8—44no—
1258C4×Q8—44no—
1259C4×Q8—42no—
1260C4×Q8—42no—
1261C4×Q8—44no—
1262C4×Q8—82no—
1263C4×D4—24no—
1264C4×D4—44no—
1265C4×D4—42no—
1266C4×D4—42no—
1267C4×D4—44no—
1268C4×D4—44no—
1269C4×D4—44no—
1270C4×D4—44no—
1271C4×D4—44no—
1272C4×D4—82no—
1273C4×D4—82no—
1274C4×D4—82no—
1275#117—28no—
1276#117—44no—
1277#117—44no—
1278#117—82no—
1279C2×C4⋊C4—44no—
1280C2×C4⋊C4—82no—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2411yescharacteristic
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2411yescharacteristic
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2411yescharacteristic
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2411yescharacteristic
1342C2×C4⋊C4C2411yescharacteristic
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2411yescharacteristic
1352C2×C4⋊C4C2411yescharacteristic
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2411yescharacteristic
1360C2×C4⋊C4C2411yescharacteristic
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2411yescharacteristic
1363C2×C4⋊C4C2411yescharacteristic
1364C2×C4⋊C4C2411yescharacteristic
1365C2×C4⋊C4C2411yescharacteristic
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2411yescharacteristic
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2411yescharacteristic
1371C2×C4⋊C4C2411yescharacteristic
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
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×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×C42—44no—
1468C2×C42C2412yes—
1469C2×C42C2412yes—
1470C2×C42C2412yes—
1471C2×C42C2411yescharacteristic
1472C2×C42C2411yescharacteristic
1473C2×C42C2412yes—
1474C2×C42C2412yes—
1475C2×C42C2411yescharacteristic
1476C2×C42C2411yescharacteristic
1477C2×C42C2411yescharacteristic
1478C2×C42C2412yes—
1479C2×C42C2412yes—
1480C2×C42C2412yes—
1481C2×C42C2412yes—
1482C2×C42C2412yes—
1483C2×C42C2412yes—
1484C2×C42C2412yes—
1485C2×C42C2412yes—
1486C2×C42C2412yes—
1487C2×C42C2412yes—
1488C2×C42C2411yescharacteristic
1489C2×C42C2412yes—
1490C2×C42C2412yes—
1491C2×C42C2412yes—
1492C2×C42C2412yes—
1493C2×C42C2412yes—
1494C2×C42C2412yes—
1495C2×C42C2411yescharacteristic
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#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—
1577C24C2512yes—
1578C24C2512yes—
1579C24C2512yes—
1580C24C2512yes—
1581C24C2512yes—
1582#41—816no—
1583C2×Q8—24no—
1584C2×Q8—24no—
1585C2×Q8—24no—
1586C2×Q8—22no—
1587C2×Q8—41no—
1588C2×Q8—42no—
1589C2×Q8—41no—
1590C2×Q8—42no—
1591C2×Q8—42no—
1592C2×Q8—41no—
1593C2×Q8—41no—
1594C2×Q8—42no—
1595C2×Q8—42no—
1596C2×Q8—42no—
1597C2×Q8—42no—
1598C2×Q8—41no—
1599C2×Q8—41no—
1600C2×Q8—42no—
1601C2×Q8—41no—
1602C2×Q8—41no—
1603C2×Q8—41no—
1604C2×Q8—42no—
1605C2×Q8—41no—
1606C2×Q8H(5,𝔽2)14yes—
1607C2×D4—24no—
1608C2×D4—24no—
1609C2×D4—24no—
1610C2×D4—22no—
1611C2×D4—22no—
1612C2×D4—24no—
1613C2×D4—24no—
1614C2×D4—22no—
1615C2×D4—41no—
1616C2×D4—41no—
1617C2×D4—41no—
1618C2×D4—41no—
1619C2×D4—41no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C2×D4—42no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C2×D4—42no—
1631C2×D4—42no—
1632C2×D4—42no—
1633C2×D4—42no—
1634C2×D4—42no—
1635C2×D4—42no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C2×D4—42no—
1639C2×D4—42no—
1640C2×D4—41no—
1641C2×D4—42no—
1642C2×D4—42no—
1643C2×D4—42no—
1644C2×D4—42no—
1645C2×D4—42no—
1646C2×D4—42no—
1647C2×D4—42no—
1648C2×D4—42no—
1649C2×D4—42no—
1650C2×D4—42no—
1651C2×D4—42no—
1652C2×D4—42no—
1653C2×D4—42no—
1654C2×D4—42no—
1655C2×D4—42no—
1656C2×D4—42no—
1657C2×D4—41no—
1658C2×D4—42no—
1659C2×D4—42no—
1660C2×D4—42no—
1661C2×D4—42no—
1662C2×D4—41no—
1663C2×D4—41no—
1664C2×D4—41no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4—42no—
1676C2×D4—41no—
1677C2×D4—41no—
1678C2×D4—42no—
1679C2×D4—42no—
1680C2×D4—42no—
1681C2×D4—42no—
1682C22×C4—24no—
1683C22×C4—24no—
1684C22×C4—24no—
1685C22×C4—24no—
1686C22×C4—24no—
1687C22×C4—24no—
1688C22×C4—24no—
1689C22×C4—24no—
1690C22×C4—24no—
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×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×C4C2511yescharacteristic
1728C22×C4C2512yes—
1729C22×C4C2512yes—
1730C22×C4C2512yes—
1731C22×C4C2512yes—
1732C22×C4C2512yes—
1733C22×C4C2511yescharacteristic
1734C22×C4C2512yes—
1735C22×C4C2512yes—
1736C22×C4C2512yes—
1737C22×C4C2512yes—
1738C22×C4C2512yes—
1739C22×C4C2512yes—
1740C22×C4C2512yes—
1741C22×C4C2512yes—
1742C22×C4C2512yes—
1743C22×C4C2512yes—
1744C22×C4C2512yes—
1745C22×C4C2512yes—
1746C22×C4C2512yes—
1747C22×C4C2512yes—
1748C22×C4C2512yes—
1749C22×C4C2511yescharacteristic
1750C22×C4C2512yes—
1751C22×C4C2512yes—
1752C22×C4C2511yescharacteristic
1753C22×C4C2511yescharacteristic
1754C22×C4C2512yes—
1755C22×C4C2511yescharacteristic
1756C22×C4C2511yescharacteristic
1757C4⋊C4—24no—
1758C4⋊C4—24no—
1759C4⋊C4—24no—
1760C4⋊C4—24no—
1761C4⋊C4—24no—
1762C4⋊C4—24no—
1763C4⋊C4—24no—
1764C4⋊C4—24no—
1765C4⋊C4—24no—
1766C4⋊C4—24no—
1767C4⋊C4—24no—
1768C4⋊C4—24no—
1769C4⋊C4—24no—
1770C4⋊C4—24no—
1771C4⋊C4—24no—
1772C4⋊C4—24no—
1773C4⋊C4—24no—
1774C4⋊C4—24no—
1775C4⋊C4—22no—
1776C4⋊C4—24no—
1777C4⋊C4—24no—
1778C4⋊C4—24no—
1779C4⋊C4—24no—
1780C4⋊C4—41no—
1781C4⋊C4—42no—
1782C4⋊C4—41no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—41no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—41no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—41no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—41no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
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—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—41no—
1824C4⋊C4—41no—
1825C4⋊C4—42no—
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—41no—
1835C4⋊C4—41no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—41no—
1840C4⋊C4—41no—
1841C4⋊C4—42no—
1842C4⋊C4—41no—
1843C4⋊C4—41no—
1844C4⋊C4—41no—
1845C4⋊C4—41no—
1846C4⋊C4H(5,𝔽2)14yes—
1847C4⋊C42−1+414yes—
1848C22⋊C4—24no—
1849C22⋊C4—24no—
1850C22⋊C4—24no—
1851C22⋊C4—24no—
1852C22⋊C4—24no—
1853C22⋊C4—24no—
1854C22⋊C4—24no—
1855C22⋊C4—24no—
1856C22⋊C4—24no—
1857C22⋊C4—24no—
1858C22⋊C4—24no—
1859C22⋊C4—24no—
1860C22⋊C4—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—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—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—
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—
1943C42—24no—
1944C42—24no—
1945C42—24no—
1946C42—24no—
1947C42—22no—
1948C42—24no—
1949C42—22no—
1950C42—22no—
1951C42—22no—
1952C42—42no—
1953C42—42no—
1954C42—41no—
1955C42—42no—
1956C42—42no—
1957C42—41no—
1958C42—42no—
1959C42—42no—
1960C42—42no—
1961C42—42no—
1962C42—42no—
1963C42—42no—
1964C42—42no—
1965C42—42no—
1966C42—41no—
1967C42—42no—
1968C42—42no—
1969C42—42no—
1970C42—42no—
1971C23—22no—
1972C23—22no—
1973C23—22no—
1974C23—22no—
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—22no—
1997C23—22no—
1998C23—22no—
1999C23—22no—
2000C23—22no—
2001C23—22no—
2002C23—22no—
2003C23—22no—
2004C23—22no—
2005C23—22no—
2006C23C2611yescharacteristic
2007Q8—44no—
2008Q8—48no—
2009Q8—84no—
2010Q8—82no—
2011Q8—84no—
2012Q8—161no—
2013Q8—161no—
2014Q8—162no—
2015D4—44no—
2016D4—44no—
2017D4—82no—
2018D4—84no—
2019D4—84no—
2020D4—84no—
2021D4—84no—
2022D4—84no—
2023D4—84no—
2024D4—84no—
2025D4—84no—
2026D4—84no—
2027D4—84no—
2028D4—161no—
2029D4—162no—
2030D4—162no—
2031D4—162no—
2032D4—162no—
2033D4—161no—
2034D4—162no—
2035D4—162no—
2036D4—162no—
2037D4—162no—
2038D4—162no—
2039D4—162no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—21no—
2043C2×C4—21no—
2044C2×C4—21no—
2045C2×C4—22no—
2046C2×C4—21no—
2047C2×C4—21no—
2048C2×C4—22no—
2049C2×C4—21no—
2050C2×C4—22no—
2051C2×C4—21no—
2052C2×C4—21no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—21no—
2059C2×C4—22no—
2060C2×C4—21no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
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—21no—
2079C2×C4—22no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—21no—
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—22no—
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—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—21no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—22no—
2122C2×C4—22no—
2123C2×C4—48no—
2124C2×C4—84no—
2125C2×C4—84no—
2126C2×C4—84no—
2127C2×C4—84no—
2128C2×C4—84no—
2129C2×C4—84no—
2130C2×C4—84no—
2131C2×C4—84no—
2132C2×C4—84no—
2133C2×C4—162no—
2134C2×C4—162no—
2135C2×C4—162no—
2136C2×C4—162no—
2137C2×C4—162no—
2138C2×C4C2×H(5,𝔽2)14yes—
2139C2×C4C2×H(5,𝔽2)14yes—
2140C2×C4C2×H(5,𝔽2)12yes—
2141C2×C4C2×H(5,𝔽2)12yes—
2142C2×C4C2×2−1+412yes—
2143C2×C4C2×2−1+414yes—
2144C2×C4#58512yes—
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—
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—
2180C22C22×H(5,𝔽2)11yescharacteristic
2181C22C22×H(5,𝔽2)11yescharacteristic
2182C22C22×2−1+411yescharacteristic
2183C22C2×#58511yescharacteristic
2184C22H(7,𝔽2)11yescharacteristic
2185C22H(7,𝔽2)11yescharacteristic
2186C222−1+611yescharacteristic
2187C4—22no—
2188C4—22no—
2189C4—24no—
2190C4—24no—
2191C4—22no—
2192C4—22no—
2193C4—24no—
2194C4—42no—
2195C4—41no—
2196C4—42no—
2197C4—42no—
2198C4—42no—
2199C4—41no—
2200C4—42no—
2201C4—42no—
2202C4—42no—
2203C4—42no—
2204C4—42no—
2205C4—42no—
2206C4—41no—
2207C4—42no—
2208C4—42no—
2209C4—42no—
2210C4—42no—
2211C4—42no—
2212C4—42no—
2213C4—42no—
2214C4—42no—
2215C4—42no—
2216C4—42no—
2217C2—82no—
2218C2—82no—
2219C2—82no—
2220C2—82no—
2221C2—82no—
2222C2#6287711yescharacteristic
2223C2#6289511yescharacteristic
2224C2#6289611yescharacteristic
2225C2#6294411yescharacteristic
2226C2#6303911yescharacteristic
2227C2#6305611yescharacteristic
2228C2#6306611yescharacteristic
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. #59418C2semidirect
2. #59082C2semidirect
3. #58030C2semidirect
4. #57153C2semidirect
5. #56624C2semidirect
6. #56204C2semidirect
7. #55593C2semidirect
8. #55342C2semidirect
9. #54972C2semidirect
10. #54234C2semidirect
11. #53509C2semidirect
12. #52018C2semidirect
13. #51804C2semidirect
14. #51333C2semidirect
15. #50815C2semidirect
16. #50745C2semidirect
17. #50321C2semidirect
18. #50135C2semidirect
19. #49575C2semidirect
20. #49558C2semidirect
21. #48403C2semidirect
22. #48004C2semidirect
23. #47982C2semidirect
24. #46149C2semidirect
25. #46115C2semidirect
26. #46024C2semidirect
27. #45786C2semidirect
28. #40125C2semidirect
29. #39705C2semidirect
30. #38964C2semidirect
31. #38831C2semidirect
32. #38831C2semidirect
33. #37734C2semidirect
34. #37276C2semidirect
35. #37251C2semidirect

Maximal subgroups

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

subgroupindex
#594182
#590822
#580302
#571532
#566242
#562042
#555932
#553422
#549722
#542342
#535092
#520182
#518042
#513332
#508152
#507452
#503212
#501352
#495752
#495582
#484032
#480042
#479822
#461492
#461152
#460242
#457862
#401252
#397052
#389642
#388312
#377342
#372762
#372512