Finite Group Databasebeta

← #10069109

Subgroups — #10069109

Order 512.

4611 conjugacy classes of subgroups.

The subgroup lattice has 2165 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59672C211yesmaximal, characteristic, complemented
2#58933C212yesmaximal, complemented
3#58237C212yesmaximal, complemented
4#57773C212yesmaximal, complemented
5#57247C212yesmaximal, complemented
6#56612C212yesmaximal, complemented
7#55629C212yesmaximal, complemented
8#53437C212yesmaximal, complemented
9#53437C212yesmaximal, complemented
10#53016C212yesmaximal, complemented
11#52391C212yesmaximal, complemented
12#50889C212yesmaximal, complemented
13#50000C212yesmaximal, complemented
14#48627C212yesmaximal, complemented
15#47870C212yesmaximal, complemented
16#47207C212yesmaximal, complemented
17#47172C212yesmaximal, complemented
18#46846C212yesmaximal, complemented
19#46374C212yesmaximal, complemented
20#46018C211yesmaximal, characteristic, complemented
21#46000C211yesmaximal, characteristic, complemented
22#44895C212yesmaximal, complemented
23#44382C212yesmaximal, complemented
24#43780C212yesmaximal, complemented
25#43497C212yesmaximal, complemented
26#43406C212yesmaximal, complemented
27#43330C212yesmaximal, complemented
28#41998C212yesmaximal, complemented
29#41362C212yesmaximal, complemented
30#41114C212yesmaximal, complemented
31#40516C212yesmaximal, complemented
32#38952C211yesmaximal, characteristic, complemented
33#38808C211yesmaximal, characteristic, complemented
34#38770C211yesmaximal, characteristic, complemented
35#37265C211yesmaximal, characteristic, complemented
36C2×#563C2211yescharacteristic
37C2×#562C2211yescharacteristic
38C2×#554C2211yescharacteristic
39C2×#552C2212yes—
40C2×#550C2211yescharacteristic
41C2×#540C2212yes—
42C2×#539C2212yes—
43C2×#539C2212yes—
44#2864C2211yescharacteristic
45#2861C2211yescharacteristic
46#2858C2211yescharacteristic
47#2841C2212yes—
48#2841C2212yes—
49#2841C2212yes—
50#2837C2212yes—
51#2837C2212yes—
52#2837C2212yes—
53#2837C2212yes—
54#2836C2212yes—
55#2831C2212yes—
56#2829C2212yes—
57#2829C2212yes—
58#2822C2212yes—
59#2820C2211yescharacteristic
60#2820C2212yes—
61#2820C2211yescharacteristic
62#2820C2211yescharacteristic
63#2819C2211yescharacteristic
64#2814C2212yes—
65#2814C2212yes—
66#2813C2212yes—
67#2810C2211yescharacteristic
68#2809C2212yes—
69#2809C2212yes—
70#2808C2211yescharacteristic
71#2806C2211yescharacteristic
72#2806C2212yes—
73#2806C2211yescharacteristic
74#2805C2211yescharacteristic
75#2800C2212yes—
76#2799C2212yes—
77#2796C2212yes—
78#2792C2212yes—
79#2792C2212yes—
80#2790C2212yes—
81#2790C2212yes—
82#2788C2212yes—
83#2782C2212yes—
84#2781C2212yes—
85#2780C2212yes—
86#2779C2212yes—
87#2774C2212yes—
88#2773C2212yes—
89#2773C2212yes—
90#2768C2212yes—
91#2768C2212yes—
92#2761C2212yes—
93#2761C2212yes—
94#2750C2212yes—
95#2748C2212yes—
96#2748C2212yes—
97#2747C2212yes—
98#2744C2212yes—
99#2741C2212yes—
100#2740C2212yes—
101#2740C2212yes—
102#2739C2212yes—
103#2739C2212yes—
104#2738C2212yes—
105#2738C2212yes—
106#2732C2211yescharacteristic
107#2732C2212yes—
108#2732C2211yescharacteristic
109#2732C2212yes—
110#2729C2212yes—
111#2726C2212yes—
112#2726C2212yes—
113#2726C2211yescharacteristic
114#2725C2212yes—
115#2724C2211yescharacteristic
116#2724C2211yescharacteristic
117#2723C2212yes—
118#2722C2212yes—
119#2721C2212yes—
120#2721C2212yes—
121#2721C2212yes—
122#2721C2212yes—
123#2720C2212yes—
124#2720C2212yes—
125#2720C2212yes—
126#2719C2212yes—
127#2718C2212yes—
128#2718C2212yes—
129#2718C2212yes—
130#2715C2212yes—
131#2715C2212yes—
132#2714C2212yes—
133#2713C2212yes—
134#2713C2212yes—
135#2712C2212yes—
136#2711C2212yes—
137#2709C2212yes—
138#2709C2212yes—
139#2708C2212yes—
140#2708C2212yes—
141#2707C2212yes—
142#2707C2212yes—
143#2707C2212yes—
144#2705C2212yes—
145#2705C2212yes—
146#2705C2212yes—
147#2705C2212yes—
148#2704C2212yes—
149#2704C2212yes—
150#2703C2212yes—
151#2701C2212yes—
152#2701C2212yes—
153#2701C2212yes—
154#2701C2212yes—
155#2701C2212yes—
156#2699C2212yes—
157#2699C2212yes—
158#2698C2212yes—
159#2695C2212yes—
160#2695C2212yes—
161#2694C2212yes—
162#2694C2212yes—
163#2694C2212yes—
164#2694C2212yes—
165#2694C2212yes—
166#2694C2212yes—
167#2692C2212yes—
168#2691C2212yes—
169#2690C2212yes—
170#2690C2212yes—
171#2689C2212yes—
172#2687C2212yes—
173#2687C2212yes—
174#2683C2211yescharacteristic
175#2682C2211yescharacteristic
176#2681C2212yes—
177#2680C2212yes—
178#2680C2212yes—
179#2680C2212yes—
180#2677C2212yes—
181#2673C2212yes—
182#2673C2212yes—
183#2672C2212yes—
184#2672C2212yes—
185#2672C2212yes—
186#2672C2212yes—
187#2672C2212yes—
188#2672C2212yes—
189#2672C2212yes—
190#2671C2212yes—
191#2667C2212yes—
192#2667C2212yes—
193#2667C2212yes—
194#2666C2212yes—
195#2664C2212yes—
196#2659C2212yes—
197#2654C2212yes—
198#2650C2212yes—
199#2646C2212yes—
200#2637C2212yes—
201#2637C2212yes—
202#2636C2212yes—
203#2633C2212yes—
204#2630C2212yes—
205#2629C2212yes—
206#2627C2212yes—
207#2627C2212yes—
208#2621C2212yes—
209#2620C2212yes—
210#2620C2212yes—
211#2602C2212yes—
212#2601C2212yes—
213#2601C2212yes—
214#2601C2212yes—
215#2597C2212yes—
216#2597C2212yes—
217#2595C2212yes—
218#2590C2212yes—
219#2588C2212yes—
220#2587C2212yes—
221#2587C2212yes—
222#2585C2212yes—
223#2579C2212yes—
224#2579C2212yes—
225#2574C2212yes—
226#2569C2212yes—
227#2567C2212yes—
228#2567C2211yescharacteristic
229#2565C2212yes—
230#2565C2212yes—
231#2564C2212yes—
232#2562C2212yes—
233#2560C2212yes—
234#2560C2212yes—
235#2560C2212yes—
236#2559C2212yes—
237#2558C2212yes—
238#2556C2212yes—
239#2554C2212yes—
240#2554C2212yes—
241#2552C2212yes—
242#2552C2211yescharacteristic
243#2552C2212yes—
244#2552C2211yescharacteristic
245#2552C2212yes—
246#2549C2212yes—
247#2549C2212yes—
248#2549C2212yes—
249#2548C2211yescharacteristic
250#2543C2212yes—
251#2543C2212yes—
252#2540C2212yes—
253#2537C2212yes—
254#2535C2212yes—
255#2521C2212yes—
256#2520C2212yes—
257#2519C2212yes—
258#2516C2212yes—
259#2516C2212yes—
260#2515C2212yes—
261#2515C2212yes—
262#2508C2212yes—
263#2508C2212yes—
264#2506C2212yes—
265#2506C2212yes—
266#2505C2212yes—
267#2501C2212yes—
268#2501C2212yes—
269#2501C2212yes—
270#2491C2212yes—
271#2489C2212yes—
272#2488C2212yes—
273#2488C2212yes—
274#2487C2212yes—
275#2479C2212yes—
276#2479C2212yes—
277#2479C2212yes—
278#2479C2212yes—
279#2478C2212yes—
280#2475C2212yes—
281#2475C2212yes—
282#2474C2212yes—
283#2474C2212yes—
284#2471C2212yes—
285#2471C2212yes—
286#2468C2212yes—
287#2468C2212yes—
288#2466C2212yes—
289#2466C2212yes—
290#2464C2212yes—
291#2463C2212yes—
292#2462C2212yes—
293#2461C2212yes—
294#2461C2212yes—
295#2461C2212yes—
296#2461C2212yes—
297#2461C2212yes—
298#2460C2212yes—
299#2460C2212yes—
300#2459C2212yes—
301#2457C2212yes—
302#2455C2212yes—
303#2455C2212yes—
304#2454C2212yes—
305#2454C2212yes—
306#2454C2212yes—
307#2450C2212yes—
308#2449C2212yes—
309#2449C2212yes—
310#2449C2212yes—
311#2447C2212yes—
312#2445C2212yes—
313#2445C2212yes—
314#2444C2212yes—
315#2444C2212yes—
316#2444C2212yes—
317#2443C2212yes—
318#2441C2212yes—
319#2440C2212yes—
320#2438C2212yes—
321#2438C2212yes—
322#2438C2212yes—
323#2438C2212yes—
324#2432C2212yes—
325#2426C2212yes—
326#2425C2212yes—
327#2425C2212yes—
328#2425C2212yes—
329#2425C2212yes—
330#2425C2212yes—
331#2423C2212yes—
332#2423C2212yes—
333#2422C2212yes—
334#2422C2212yes—
335#2420C2212yes—
336#2419C2212yes—
337#2419C2212yes—
338#2419C2212yes—
339#2417C2212yes—
340#2417C2212yes—
341#2415C2212yes—
342#2415C2212yes—
343#2413C2212yes—
344#2413C2212yes—
345#2407C2212yes—
346#2407C2212yes—
347#2395C2212yes—
348#2392C2212yes—
349#2392C2212yes—
350C2×#398C2212yes—
351#2379C2211yescharacteristic
352#2379C2211yescharacteristic
353#2370C2212yes—
354#2370C2212yes—
355#2369C2211yescharacteristic
356#2369C2211yescharacteristic
357#2368C2212yes—
358#2366C2212yes—
359#2359C2212yes—
360#2359C2212yes—
361#2359C2212yes—
362#2352C2212yes—
363#2349C2212yes—
364#2339C2212yes—
365#2339C2212yes—
366#2337C2212yes—
367#2335C2212yes—
368#2334C2212yes—
369#2332C2212yes—
370#2329C2212yes—
371#2324C2212yes—
372#2323C2212yes—
373#2322C2212yes—
374#2311C2212yes—
375C4×C4⋊Q8C2211yescharacteristic
376C4×#125C2211yescharacteristic
377C4×#125C2211yescharacteristic
378#2293C2211yescharacteristic
379C22×#41C2312yes—
380#563—44no—
381#562—44no—
382#554—44no—
383#552—48no—
384#550—44no—
385#540—48no—
386#539—48no—
387#539—48no—
388C2×C4⋊Q8C2311yescharacteristic
389C2×C4⋊Q8C2311yescharacteristic
390C2×C4⋊Q8C2312yes—
391C2×#127C2312yes—
392C2×#127C2311yescharacteristic
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#126C2312yes—
401C2×#125C2311yescharacteristic
402C2×#125C2312yes—
403C2×#125C2311yescharacteristic
404C2×#125C2312yes—
405C2×#125C2311yescharacteristic
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#124C2311yescharacteristic
415C2×#124C2311yescharacteristic
416C2×#124C2312yes—
417C2×#124C2311yescharacteristic
418C2×#124C2311yescharacteristic
419C2×#124C2311yescharacteristic
420C2×#124C2312yes—
421C2×#124C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×#123C2312yes—
435C2×#123C2312yes—
436C2×#123C2312yes—
437C2×#123C2312yes—
438C2×#123C2312yes—
439C2×#123C2312yes—
440C2×#123C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
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×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×#121C2312yes—
466C2×#121C2312yes—
467C2×#121C2312yes—
468C2×#121C2312yes—
469C2×#121C2312yes—
470C2×C4×Q8C2311yescharacteristic
471C2×C4×Q8C2311yescharacteristic
472C2×C4×Q8C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
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#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#397C2312yes—
627#397C2312yes—
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#395C2312yes—
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#395C2312yes—
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#394C2312yes—
711#394C2312yes—
712#394C2312yes—
713#394C2312yes—
714#394C2312yes—
715#394C2312yes—
716#394C2312yes—
717#394C2312yes—
718#394C2312yes—
719#394C2312yes—
720#393C2312yes—
721#393C2312yes—
722#393C2312yes—
723#393C2312yes—
724#393C2312yes—
725#392C2312yes—
726#392C2312yes—
727#392C2312yes—
728#392C2312yes—
729#392C2312yes—
730#392C2312yes—
731#392C2312yes—
732#392C2312yes—
733#392C2312yes—
734#391C2311yescharacteristic
735#391C2312yes—
736#391C2312yes—
737#391C2311yescharacteristic
738#391C2311yescharacteristic
739#391C2312yes—
740#391C2312yes—
741#391C2312yes—
742#391C2312yes—
743#391C2312yes—
744#391C2312yes—
745#391C2312yes—
746#391C2312yes—
747#391C2312yes—
748#391C2312yes—
749#391C2312yes—
750#391C2311yescharacteristic
751#391C2312yes—
752#391C2312yes—
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
756#390C2312yes—
757#390C2312yes—
758#390C2312yes—
759#390C2311yescharacteristic
760#390C2312yes—
761#390C2312yes—
762#390C2311yescharacteristic
763#390C2312yes—
764#390C2312yes—
765#390C2312yes—
766#390C2312yes—
767#390C2312yes—
768#390C2311yescharacteristic
769#390C2311yescharacteristic
770#390C2312yes—
771#390C2312yes—
772#390C2312yes—
773#390C2312yes—
774#390C2312yes—
775#389C2311yescharacteristic
776#389C2311yescharacteristic
777#389C2311yescharacteristic
778#389C2311yescharacteristic
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2311yescharacteristic
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2311yescharacteristic
807#389C2311yescharacteristic
808#389C2311yescharacteristic
809#389C2312yes—
810#389C2312yes—
811#389C2312yes—
812#389C2312yes—
813#389C2312yes—
814#389C2312yes—
815#389C2311yescharacteristic
816#389C2311yescharacteristic
817#389C2312yes—
818#389C2312yes—
819#389C2312yes—
820#389C2312yes—
821#389C2312yes—
822#389C2312yes—
823#389C2312yes—
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#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
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#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#384C2311yescharacteristic
1015#384C2312yes—
1016#384C2312yes—
1017#384C2312yes—
1018#384C2312yes—
1019#384C2312yes—
1020#384C2312yes—
1021#384C2312yes—
1022#383C2312yes—
1023#382C2311yescharacteristic
1024#382C2311yescharacteristic
1025#382C2312yes—
1026#382C2311yescharacteristic
1027#382C2311yescharacteristic
1028#382C2312yes—
1029#382C2312yes—
1030#382C2312yes—
1031#382C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
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—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2311yescharacteristic
1071C4×C4⋊C4C2311yescharacteristic
1072C4×C4⋊C4C2311yescharacteristic
1073C4×C4⋊C4C2311yescharacteristic
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
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⋊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—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C2×#95C2312yes—
1104C2×#95C2312yes—
1105C43C2311yescharacteristic
1106C2×#41—28no—
1107C2×#41—44no—
1108C2×#41—82no—
1109C22×Q8C2412yes—
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2412yes—
1112C22×Q8C2411yescharacteristic
1113C22×Q8C2411yescharacteristic
1114C22×Q8C2411yescharacteristic
1115C22×Q8C2411yescharacteristic
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2411yescharacteristic
1128C22×D4C2412yes—
1129C22×D4C2411yescharacteristic
1130C22×D4C2411yescharacteristic
1131C22×D4C2411yescharacteristic
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C23×C4C2412yes—
1148C4⋊Q8—24no—
1149C4⋊Q8—42no—
1150C4⋊Q8—44no—
1151#127—28no—
1152#127—42no—
1153#126—28no—
1154#126—44no—
1155#126—44no—
1156#126—44no—
1157#126—44no—
1158#126—44no—
1159#126—44no—
1160#126—82no—
1161#125—28no—
1162#125—24no—
1163#125—44no—
1164#125—42no—
1165#125—44no—
1166#125—44no—
1167#125—44no—
1168#125—42no—
1169#125—44no—
1170#125—44no—
1171#125—44no—
1172#125—44no—
1173#125—82no—
1174#124—44no—
1175#124—42no—
1176#124—42no—
1177#124—42no—
1178#124—42no—
1179#124—42no—
1180#124—82no—
1181#124—82no—
1182#123—28no—
1183#123—28no—
1184#123—44no—
1185#123—44no—
1186#123—44no—
1187#123—44no—
1188#123—44no—
1189#123—44no—
1190#123—44no—
1191#123—44no—
1192#123—44no—
1193#123—44no—
1194#123—44no—
1195#123—44no—
1196#123—44no—
1197#123—44no—
1198#123—44no—
1199#123—44no—
1200#123—82no—
1201C22⋊Q8—28no—
1202C22⋊Q8—28no—
1203C22⋊Q8—44no—
1204C22⋊Q8—44no—
1205C22⋊Q8—44no—
1206C22⋊Q8—44no—
1207C22⋊Q8—44no—
1208C22⋊Q8—44no—
1209C22⋊Q8—44no—
1210C22⋊Q8—44no—
1211C22⋊Q8—44no—
1212C22⋊Q8—44no—
1213C22⋊Q8—44no—
1214C22⋊Q8—44no—
1215C22⋊Q8—44no—
1216C22⋊Q8—82no—
1217C22⋊Q8—82no—
1218#121—28no—
1219#121—44no—
1220#121—44no—
1221#121—44no—
1222#121—44no—
1223#121—44no—
1224#121—44no—
1225#121—44no—
1226#121—44no—
1227#121—44no—
1228#121—44no—
1229#121—44no—
1230C4×Q8—42no—
1231C4×Q8—42no—
1232C4×Q8—44no—
1233C4×D4—28no—
1234C4×D4—24no—
1235C4×D4—44no—
1236C4×D4—44no—
1237C4×D4—44no—
1238C4×D4—44no—
1239C4×D4—44no—
1240C4×D4—44no—
1241C4×D4—44no—
1242C4×D4—44no—
1243C4×D4—82no—
1244C4×D4—82no—
1245C4×D4—82no—
1246C4×D4—82no—
1247C4×D4—82no—
1248#117—44no—
1249#117—44no—
1250#117—44no—
1251#117—44no—
1252#117—82no—
1253#117—82no—
1254C2×C4⋊C4—44no—
1255C2×C4⋊C4—44no—
1256C2×C4⋊C4—44no—
1257C2×C4⋊C4—44no—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2411yescharacteristic
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2411yescharacteristic
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2411yescharacteristic
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2411yescharacteristic
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2411yescharacteristic
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1340C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1350C2×C4⋊C4C2411yescharacteristic
1351C2×C4⋊C4C2411yescharacteristic
1352C2×C4⋊C4C2411yescharacteristic
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2411yescharacteristic
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2411yescharacteristic
1360C2×C4⋊C4C2411yescharacteristic
1361C2×C4⋊C4C2411yescharacteristic
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊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×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2411yescharacteristic
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2411yescharacteristic
1449C2×C42C2411yescharacteristic
1450C2×C42C2411yescharacteristic
1451C2×C42C2412yes—
1452C2×C42C2411yescharacteristic
1453C2×C42C2412yes—
1454C2×C42C2412yes—
1455C2×C42C2412yes—
1456C2×C42C2412yes—
1457C2×C42C2412yes—
1458C2×C42C2412yes—
1459C2×C42C2412yes—
1460C2×C42C2412yes—
1461C2×C42C2412yes—
1462C2×C42C2412yes—
1463C2×C42C2412yes—
1464C2×C42C2411yescharacteristic
1465C2×C42C2411yescharacteristic
1466C2×C42C2412yes—
1467C2×C42C2412yes—
1468C2×C42C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#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—
1562C24C2512yes—
1563C24C2512yes—
1564C24C2512yes—
1565C24C2512yes—
1566#41—816no—
1567C2×Q8—24no—
1568C2×Q8—22no—
1569C2×Q8—41no—
1570C2×Q8—41no—
1571C2×Q8—41no—
1572C2×Q8—42no—
1573C2×Q8—41no—
1574C2×Q8—42no—
1575C2×Q8—42no—
1576C2×Q8—41no—
1577C2×Q8—41no—
1578C2×Q8—42no—
1579C2×Q8—41no—
1580C2×Q8—41no—
1581C2×Q8—41no—
1582C2×Q8—41no—
1583C2×Q8—42no—
1584C2×Q8—41no—
1585C2×Q8—41no—
1586C2×Q8—41no—
1587C2×Q82−1+414yes—
1588C2×D4—24no—
1589C2×D4—24no—
1590C2×D4—24no—
1591C2×D4—24no—
1592C2×D4—24no—
1593C2×D4—24no—
1594C2×D4—24no—
1595C2×D4—24no—
1596C2×D4—24no—
1597C2×D4—24no—
1598C2×D4—24no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—41no—
1604C2×D4—41no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—42no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—41no—
1624C2×D4—41no—
1625C2×D4—41no—
1626C2×D4—41no—
1627C2×D4—41no—
1628C2×D4—41no—
1629C2×D4—42no—
1630C2×D4—41no—
1631C2×D4—41no—
1632C2×D4—42no—
1633C2×D4—42no—
1634C2×D4—41no—
1635C2×D4H(5,𝔽2)14yes—
1636C22×C4—24no—
1637C22×C4—24no—
1638C22×C4—24no—
1639C22×C4—24no—
1640C22×C4—24no—
1641C22×C4—24no—
1642C22×C4—24no—
1643C22×C4—24no—
1644C22×C4—24no—
1645C22×C4—24no—
1646C22×C4—24no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2511yescharacteristic
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2511yescharacteristic
1699C22×C4C2511yescharacteristic
1700C22×C4C2512yes—
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2511yescharacteristic
1710C22×C4C2512yes—
1711C22×C4C2511yescharacteristic
1712C22×C4C2511yescharacteristic
1713C22×C4C2512yes—
1714C22×C4C2511yescharacteristic
1715C4⋊C4—24no—
1716C4⋊C4—24no—
1717C4⋊C4—24no—
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—24no—
1721C4⋊C4—24no—
1722C4⋊C4—22no—
1723C4⋊C4—24no—
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—24no—
1727C4⋊C4—24no—
1728C4⋊C4—24no—
1729C4⋊C4—24no—
1730C4⋊C4—24no—
1731C4⋊C4—22no—
1732C4⋊C4—24no—
1733C4⋊C4—24no—
1734C4⋊C4—24no—
1735C4⋊C4—24no—
1736C4⋊C4—24no—
1737C4⋊C4—24no—
1738C4⋊C4—24no—
1739C4⋊C4—22no—
1740C4⋊C4—22no—
1741C4⋊C4—41no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—41no—
1754C4⋊C4—41no—
1755C4⋊C4—41no—
1756C4⋊C4—41no—
1757C4⋊C4—41no—
1758C4⋊C4—41no—
1759C4⋊C4—41no—
1760C4⋊C4—42no—
1761C4⋊C4—41no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—41no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—41no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—41no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊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—41no—
1816C4⋊C4—41no—
1817C4⋊C4—42no—
1818C4⋊C4H(5,𝔽2)14yes—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—24no—
1825C22⋊C4—24no—
1826C22⋊C4—24no—
1827C22⋊C4—24no—
1828C22⋊C4—24no—
1829C22⋊C4—24no—
1830C22⋊C4—24no—
1831C22⋊C4—24no—
1832C22⋊C4—24no—
1833C22⋊C4—24no—
1834C22⋊C4—24no—
1835C22⋊C4—24no—
1836C22⋊C4—24no—
1837C22⋊C4—24no—
1838C22⋊C4—24no—
1839C22⋊C4—24no—
1840C22⋊C4—24no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊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—
1899C42—24no—
1900C42—24no—
1901C42—24no—
1902C42—22no—
1903C42—24no—
1904C42—22no—
1905C42—22no—
1906C42—24no—
1907C42—22no—
1908C42—41no—
1909C42—41no—
1910C42—42no—
1911C42—42no—
1912C42—42no—
1913C42—42no—
1914C42—42no—
1915C42—42no—
1916C42—41no—
1917C42—42no—
1918C42—42no—
1919C42—42no—
1920C42—42no—
1921C42—42no—
1922C42—42no—
1923C42—42no—
1924C42—42no—
1925C42—42no—
1926C23—22no—
1927C23—22no—
1928C23—22no—
1929C23—22no—
1930C23—22no—
1931C23—22no—
1932C23—22no—
1933C23—22no—
1934C23—22no—
1935C23—22no—
1936C23—22no—
1937C23—22no—
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—22no—
1943C23—22no—
1944C23—22no—
1945C23—22no—
1946C23—22no—
1947C23—22no—
1948C23—22no—
1949C23—22no—
1950C23—22no—
1951C23—22no—
1952C23—22no—
1953C23C2×H(5,𝔽2)14yes—
1954C23C2611yescharacteristic
1955Q8—44no—
1956Q8—84no—
1957Q8—82no—
1958Q8—161no—
1959Q8—162no—
1960Q8—161no—
1961Q8—161no—
1962D4—44no—
1963D4—48no—
1964D4—48no—
1965D4—48no—
1966D4—84no—
1967D4—84no—
1968D4—84no—
1969D4—84no—
1970D4—84no—
1971D4—84no—
1972D4—84no—
1973D4—162no—
1974D4—161no—
1975D4—161no—
1976D4—161no—
1977D4—162no—
1978C2×C4—22no—
1979C2×C4—21no—
1980C2×C4—21no—
1981C2×C4—21no—
1982C2×C4—22no—
1983C2×C4—21no—
1984C2×C4—22no—
1985C2×C4—21no—
1986C2×C4—21no—
1987C2×C4—21no—
1988C2×C4—21no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—21no—
1996C2×C4—21no—
1997C2×C4—22no—
1998C2×C4—21no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—21no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—21no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—21no—
2043C2×C4—22no—
2044C2×C4—21no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—21no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—21no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—48no—
2066C2×C4—84no—
2067C2×C4—84no—
2068C2×C4—84no—
2069C2×C4—84no—
2070C2×C4—84no—
2071C2×C4—84no—
2072C2×C4—84no—
2073C2×C4—84no—
2074C2×C4—84no—
2075C2×C4—84no—
2076C2×C4—162no—
2077C2×C4—162no—
2078C2×C4—162no—
2079C2×C4—162no—
2080C2×C4—162no—
2081C2×C4C2×H(5,𝔽2)12yes—
2082C2×C4C2×H(5,𝔽2)12yes—
2083C2×C4C2×H(5,𝔽2)14yes—
2084C2×C4C2×2−1+412yes—
2085C2×C4C2×2−1+414yes—
2086C2×C4#58512yes—
2087C22—24no—
2088C22—24no—
2089C22—24no—
2090C22—42no—
2091C22—42no—
2092C22—42no—
2093C22—42no—
2094C22—42no—
2095C22—42no—
2096C22—42no—
2097C22—42no—
2098C22—42no—
2099C22—42no—
2100C22—42no—
2101C22—42no—
2102C22—42no—
2103C22—42no—
2104C22—42no—
2105C22—42no—
2106C22—42no—
2107C22—42no—
2108C22—42no—
2109C22—42no—
2110C22—42no—
2111C22—42no—
2112C22—42no—
2113C22—42no—
2114C22—42no—
2115C22C22×H(5,𝔽2)11yescharacteristic
2116C22C22×H(5,𝔽2)11yescharacteristic
2117C22C22×2−1+411yescharacteristic
2118C22C2×#58511yescharacteristic
2119C22H(7,𝔽2)11yescharacteristic
2120C222−1+611yescharacteristic
2121C222−1+611yescharacteristic
2122C4—24no—
2123C4—22no—
2124C4—22no—
2125C4—24no—
2126C4—22no—
2127C4—22no—
2128C4—42no—
2129C4—42no—
2130C4—42no—
2131C4—42no—
2132C4—42no—
2133C4—42no—
2134C4—42no—
2135C4—41no—
2136C4—41no—
2137C4—42no—
2138C4—42no—
2139C4—42no—
2140C4—42no—
2141C4—42no—
2142C4—42no—
2143C4—42no—
2144C4—41no—
2145C4—42no—
2146C4—42no—
2147C4—42no—
2148C4—42no—
2149C4—42no—
2150C4—42no—
2151C4—42no—
2152C4—42no—
2153C2—44no—
2154C2—82no—
2155C2—82no—
2156C2—82no—
2157C2#6287111yescharacteristic
2158C2#6289411yescharacteristic
2159C2#6294611yescharacteristic
2160C2#6294911yescharacteristic
2161C2#6301411yescharacteristic
2162C2#6304711yescharacteristic
2163C2#6304911yescharacteristic
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. #59672C2semidirect
2. #58933C2semidirect
3. #58237C2semidirect
4. #57773C2semidirect
5. #57247C2semidirect
6. #56612C2semidirect
7. #55629C2semidirect
8. #53437C2semidirect
9. #53437C2semidirect
10. #53016C2semidirect
11. #52391C2semidirect
12. #50889C2semidirect
13. #50000C2semidirect
14. #48627C2semidirect
15. #47870C2semidirect
16. #47207C2semidirect
17. #47172C2semidirect
18. #46846C2semidirect
19. #46374C2semidirect
20. #46018C2semidirect
21. #46000C2semidirect
22. #44895C2semidirect
23. #44382C2semidirect
24. #43780C2semidirect
25. #43497C2semidirect
26. #43406C2semidirect
27. #43330C2semidirect
28. #41998C2semidirect
29. #41362C2semidirect
30. #41114C2semidirect
31. #40516C2semidirect
32. #38952C2semidirect
33. #38808C2semidirect
34. #38770C2semidirect
35. #37265C2semidirect

Maximal subgroups

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

subgroupindex
#596722
#589332
#582372
#577732
#572472
#566122
#556292
#534372
#530162
#523912
#508892
#500002
#486272
#478702
#472072
#471722
#468462
#463742
#460182
#460002
#448952
#443822
#437802
#434972
#434062
#433302
#419982
#413622
#411142
#405162
#389522
#388082
#387702
#372652