Finite Group Databasebeta

← #10069002

Subgroups — #10069002

Order 512.

4013 conjugacy classes of subgroups.

The subgroup lattice has 2029 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59437C211yesmaximal, characteristic, complemented
2#58555C212yesmaximal, complemented
3#58534C212yesmaximal, complemented
4#58249C212yesmaximal, complemented
5#57935C212yesmaximal, complemented
6#57582C212yesmaximal, complemented
7#56856C212yesmaximal, complemented
8#54280C212yesmaximal, complemented
9#53892C212yesmaximal, complemented
10#53061C212yesmaximal, complemented
11#52737C212yesmaximal, complemented
12#50568C212yesmaximal, complemented
13#48385C212yesmaximal, complemented
14#48178C212yesmaximal, complemented
15#48134C212yesmaximal, complemented
16#47124C212yesmaximal, complemented
17#47009C212yesmaximal, complemented
18#46880C212yesmaximal, complemented
19#46558C212yesmaximal, complemented
20#46162C211yesmaximal, characteristic, complemented
21#46155C211yesmaximal, characteristic, complemented
22#44115C212yesmaximal, complemented
23#43851C212yesmaximal, complemented
24#43564C212yesmaximal, complemented
25#43386C212yesmaximal, complemented
26#43280C212yesmaximal, complemented
27#43260C212yesmaximal, complemented
28#42381C212yesmaximal, complemented
29#42140C212yesmaximal, complemented
30#41012C212yesmaximal, complemented
31#40624C212yesmaximal, complemented
32#39200C211yesmaximal, characteristic, complemented
33#38829C211yesmaximal, characteristic, complemented
34#38810C211yesmaximal, characteristic, complemented
35#37252C211yesmaximal, characteristic, complemented
36#2864C2211yescharacteristic
37#2862C2211yescharacteristic
38#2861C2211yescharacteristic
39#2845C2211yescharacteristic
40#2844C2211yescharacteristic
41#2841C2212yes—
42#2841C2212yes—
43#2838C2212yes—
44#2837C2212yes—
45#2837C2212yes—
46#2836C2212yes—
47#2832C2212yes—
48#2831C2212yes—
49#2830C2212yes—
50#2830C2212yes—
51#2829C2212yes—
52#2829C2212yes—
53#2826C2212yes—
54#2826C2212yes—
55#2820C2211yescharacteristic
56#2819C2212yes—
57#2819C2211yescharacteristic
58#2814C2212yes—
59#2809C2211yescharacteristic
60#2809C2211yescharacteristic
61#2808C2211yescharacteristic
62#2807C2212yes—
63#2806C2212yes—
64#2806C2212yes—
65#2805C2211yescharacteristic
66#2804C2212yes—
67#2802C2212yes—
68#2800C2212yes—
69#2798C2212yes—
70#2798C2212yes—
71#2798C2212yes—
72#2797C2212yes—
73#2796C2212yes—
74#2796C2212yes—
75#2793C2212yes—
76#2791C2212yes—
77#2788C2212yes—
78#2788C2212yes—
79#2788C2212yes—
80#2787C2212yes—
81#2787C2212yes—
82#2787C2212yes—
83#2786C2212yes—
84#2786C2212yes—
85#2785C2212yes—
86#2783C2212yes—
87#2783C2212yes—
88#2779C2212yes—
89#2778C2212yes—
90#2777C2212yes—
91#2777C2212yes—
92#2776C2212yes—
93#2774C2212yes—
94#2774C2212yes—
95#2773C2212yes—
96#2773C2212yes—
97#2773C2212yes—
98#2772C2212yes—
99#2772C2212yes—
100#2772C2212yes—
101#2768C2212yes—
102#2766C2212yes—
103#2766C2212yes—
104#2765C2212yes—
105#2765C2212yes—
106#2764C2212yes—
107#2762C2212yes—
108#2762C2212yes—
109#2759C2212yes—
110#2759C2212yes—
111#2759C2212yes—
112#2759C2212yes—
113#2759C2212yes—
114#2756C2212yes—
115#2755C2212yes—
116#2755C2212yes—
117#2754C2212yes—
118#2754C2212yes—
119#2754C2212yes—
120#2751C2212yes—
121#2751C2212yes—
122#2750C2212yes—
123#2748C2212yes—
124#2746C2212yes—
125#2745C2212yes—
126#2744C2212yes—
127#2743C2212yes—
128#2741C2212yes—
129#2741C2212yes—
130#2741C2212yes—
131#2740C2212yes—
132#2740C2212yes—
133#2737C2212yes—
134#2737C2212yes—
135#2737C2212yes—
136#2734C2212yes—
137#2734C2211yescharacteristic
138#2732C2212yes—
139#2732C2211yescharacteristic
140#2731C2212yes—
141#2731C2212yes—
142#2731C2212yes—
143#2730C2212yes—
144#2730C2212yes—
145#2730C2212yes—
146#2730C2212yes—
147#2728C2212yes—
148#2727C2211yescharacteristic
149#2727C2211yescharacteristic
150#2727C2211yescharacteristic
151#2723C2212yes—
152#2721C2212yes—
153#2718C2212yes—
154#2716C2212yes—
155#2716C2212yes—
156#2713C2212yes—
157#2713C2212yes—
158#2713C2212yes—
159#2713C2212yes—
160#2711C2212yes—
161#2710C2212yes—
162#2702C2212yes—
163#2701C2212yes—
164#2700C2212yes—
165#2700C2212yes—
166#2700C2212yes—
167#2700C2212yes—
168#2700C2212yes—
169#2700C2212yes—
170#2698C2212yes—
171#2698C2212yes—
172#2696C2212yes—
173#2694C2212yes—
174#2690C2212yes—
175#2686C2212yes—
176#2683C2211yescharacteristic
177#2682C2211yescharacteristic
178#2682C2211yescharacteristic
179#2677C2212yes—
180#2677C2212yes—
181#2674C2212yes—
182#2672C2212yes—
183#2667C2212yes—
184#2667C2212yes—
185#2665C2212yes—
186#2665C2212yes—
187#2662C2212yes—
188#2662C2212yes—
189#2662C2212yes—
190#2655C2212yes—
191#2655C2212yes—
192#2654C2212yes—
193#2653C2212yes—
194#2651C2212yes—
195#2651C2212yes—
196#2638C2212yes—
197#2637C2212yes—
198#2633C2212yes—
199#2630C2212yes—
200#2628C2212yes—
201#2625C2212yes—
202#2624C2212yes—
203#2607C2212yes—
204#2607C2212yes—
205#2606C2212yes—
206#2601C2212yes—
207#2599C2212yes—
208#2599C2212yes—
209#2599C2212yes—
210#2597C2212yes—
211#2595C2212yes—
212#2594C2212yes—
213#2594C2212yes—
214#2594C2212yes—
215#2592C2212yes—
216#2590C2212yes—
217#2590C2212yes—
218#2590C2212yes—
219#2589C2212yes—
220#2588C2212yes—
221#2588C2212yes—
222#2588C2212yes—
223#2588C2212yes—
224#2587C2212yes—
225#2587C2212yes—
226#2586C2212yes—
227#2586C2212yes—
228#2586C2212yes—
229#2585C2212yes—
230#2585C2212yes—
231#2583C2212yes—
232#2582C2212yes—
233#2581C2212yes—
234#2577C2212yes—
235#2577C2212yes—
236#2577C2212yes—
237#2576C2212yes—
238#2576C2212yes—
239#2575C2212yes—
240#2574C2212yes—
241#2574C2212yes—
242#2574C2212yes—
243#2559C2212yes—
244#2558C2212yes—
245#2557C2212yes—
246#2555C2212yes—
247#2553C2212yes—
248#2550C2212yes—
249#2549C2212yes—
250#2547C2211yescharacteristic
251#2547C2212yes—
252#2547C2211yescharacteristic
253#2546C2211yescharacteristic
254#2542C2211yescharacteristic
255#2535C2212yes—
256#2532C2212yes—
257#2532C2212yes—
258#2531C2212yes—
259#2530C2212yes—
260#2527C2212yes—
261#2525C2212yes—
262#2524C2212yes—
263#2522C2212yes—
264#2521C2212yes—
265#2521C2212yes—
266#2521C2212yes—
267#2520C2212yes—
268#2520C2212yes—
269#2520C2212yes—
270#2520C2212yes—
271#2519C2212yes—
272#2519C2212yes—
273#2518C2212yes—
274#2517C2212yes—
275#2517C2212yes—
276#2516C2212yes—
277#2515C2212yes—
278#2515C2212yes—
279#2514C2212yes—
280#2514C2212yes—
281#2511C2212yes—
282#2508C2212yes—
283#2495C2212yes—
284#2494C2212yes—
285#2493C2212yes—
286#2492C2212yes—
287#2491C2212yes—
288#2491C2212yes—
289#2485C2212yes—
290#2485C2212yes—
291#2479C2212yes—
292#2478C2212yes—
293#2478C2212yes—
294#2477C2212yes—
295#2476C2212yes—
296#2476C2212yes—
297#2475C2212yes—
298#2470C2212yes—
299#2469C2212yes—
300#2469C2212yes—
301#2469C2212yes—
302#2468C2212yes—
303#2467C2212yes—
304#2466C2212yes—
305#2466C2212yes—
306#2465C2212yes—
307#2465C2212yes—
308#2464C2212yes—
309#2462C2212yes—
310#2459C2212yes—
311#2459C2212yes—
312#2459C2212yes—
313#2458C2212yes—
314#2457C2212yes—
315#2452C2212yes—
316#2451C2212yes—
317#2450C2212yes—
318#2449C2212yes—
319#2448C2212yes—
320#2448C2212yes—
321#2446C2212yes—
322#2446C2212yes—
323#2444C2212yes—
324#2443C2212yes—
325#2443C2212yes—
326#2443C2212yes—
327#2442C2212yes—
328#2441C2212yes—
329#2439C2212yes—
330#2439C2212yes—
331#2439C2212yes—
332#2429C2212yes—
333#2423C2212yes—
334#2420C2212yes—
335#2417C2212yes—
336#2414C2212yes—
337#2414C2212yes—
338#2413C2212yes—
339#2396C2212yes—
340#2396C2212yes—
341#2395C2212yes—
342#2392C2212yes—
343#2382C2211yescharacteristic
344#2382C2211yescharacteristic
345#2382C2211yescharacteristic
346#2379C2211yescharacteristic
347#2374C2212yes—
348#2369C2212yes—
349#2367C2212yes—
350#2367C2212yes—
351#2367C2212yes—
352#2367C2212yes—
353#2365C2211yescharacteristic
354#2365C2211yescharacteristic
355#2362C2212yes—
356#2360C2212yes—
357#2359C2212yes—
358#2359C2212yes—
359#2355C2211yescharacteristic
360D4×C4⋊C4C2211yescharacteristic
361#2345C2212yes—
362#2344C2212yes—
363#2336C2212yes—
364#2335C2212yes—
365#2335C2212yes—
366#2334C2212yes—
367#2334C2212yes—
368#2333C2212yes—
369#2332C2212yes—
370#2329C2212yes—
371#2327C2212yes—
372#2323C2212yes—
373#2313C2212yes—
374#2313C2212yes—
375C4×C4⋊Q8C2211yescharacteristic
376C4×#125C2211yescharacteristic
377C4×#124C2211yescharacteristic
378#2293C2211yescharacteristic
379C2×C4⋊Q8C2311yescharacteristic
380C2×C4⋊Q8C2312yes—
381C2×C4⋊Q8C2311yescharacteristic
382C2×C4⋊Q8C2311yescharacteristic
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#125C2311yescharacteristic
392C2×#125C2311yescharacteristic
393C2×#125C2312yes—
394C2×#125C2312yes—
395C2×#124C2311yescharacteristic
396C2×#124C2311yescharacteristic
397C2×#124C2312yes—
398C2×#124C2312yes—
399C2×#124C2312yes—
400C2×#124C2312yes—
401C2×#124C2312yes—
402C2×#124C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×C4×Q8C2311yescharacteristic
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C22×C4⋊C4C2312yes—
438C22×C4⋊C4C2312yes—
439#401C2312yes—
440#401C2312yes—
441#401C2312yes—
442#401C2312yes—
443#401C2312yes—
444#400C2312yes—
445#400C2312yes—
446#400C2312yes—
447#400C2312yes—
448#400C2312yes—
449#400C2312yes—
450#400C2312yes—
451#400C2312yes—
452#400C2312yes—
453#400C2312yes—
454#400C2312yes—
455#400C2312yes—
456#400C2312yes—
457#400C2312yes—
458#400C2312yes—
459#400C2312yes—
460#400C2312yes—
461#400C2312yes—
462#400C2312yes—
463#400C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#399C2312yes—
477#399C2312yes—
478#399C2312yes—
479#399C2312yes—
480#399C2312yes—
481#399C2312yes—
482#399C2312yes—
483#399C2312yes—
484#399C2312yes—
485#399C2312yes—
486#399C2312yes—
487#399C2312yes—
488#399C2312yes—
489#399C2312yes—
490#399C2312yes—
491#399C2312yes—
492#398C2312yes—
493#398C2312yes—
494#398C2312yes—
495#398C2312yes—
496#398C2312yes—
497#398C2312yes—
498#398C2312yes—
499#398C2312yes—
500#398C2312yes—
501#398C2312yes—
502#398C2312yes—
503#398C2312yes—
504#398C2312yes—
505#398C2312yes—
506#398C2312yes—
507#398C2312yes—
508#398C2312yes—
509#398C2312yes—
510#398C2312yes—
511#398C2312yes—
512#398C2312yes—
513#398C2312yes—
514#398C2312yes—
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#397C2312yes—
536#397C2312yes—
537#397C2312yes—
538#397C2312yes—
539#397C2312yes—
540#397C2312yes—
541#397C2312yes—
542#397C2312yes—
543#397C2312yes—
544#397C2312yes—
545#397C2312yes—
546#397C2312yes—
547#397C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2312yes—
551#397C2312yes—
552#397C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#396C2312yes—
575#396C2312yes—
576#396C2312yes—
577#396C2312yes—
578#396C2312yes—
579#396C2312yes—
580#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#395C2312yes—
600#395C2312yes—
601#395C2312yes—
602#395C2312yes—
603#395C2312yes—
604#395C2312yes—
605#395C2312yes—
606#395C2312yes—
607#395C2312yes—
608#395C2312yes—
609#395C2312yes—
610#395C2312yes—
611#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#395C2312yes—
615#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#393C2312yes—
650#393C2312yes—
651#393C2312yes—
652#393C2312yes—
653#393C2312yes—
654#393C2312yes—
655#393C2312yes—
656#393C2312yes—
657#393C2312yes—
658#393C2312yes—
659#393C2312yes—
660#393C2312yes—
661#393C2312yes—
662#393C2312yes—
663#393C2312yes—
664#393C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#393C2312yes—
669#392C2312yes—
670#392C2312yes—
671#392C2312yes—
672#392C2312yes—
673#392C2312yes—
674#392C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2311yescharacteristic
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2311yescharacteristic
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2311yescharacteristic
711#390C2312yes—
712#390C2312yes—
713#390C2312yes—
714#390C2312yes—
715#390C2311yescharacteristic
716#390C2312yes—
717#390C2311yescharacteristic
718#390C2312yes—
719#390C2312yes—
720#390C2311yescharacteristic
721#390C2311yescharacteristic
722#390C2311yescharacteristic
723#390C2312yes—
724#390C2312yes—
725#390C2312yes—
726#390C2312yes—
727#389C2311yescharacteristic
728#389C2311yescharacteristic
729#389C2311yescharacteristic
730#389C2311yescharacteristic
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2311yescharacteristic
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2311yescharacteristic
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2311yescharacteristic
769#389C2311yescharacteristic
770#389C2311yescharacteristic
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2311yescharacteristic
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#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#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#386C2312yes—
971#386C2312yes—
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#384C2311yescharacteristic
1000#384C2312yes—
1001#383C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#383C2312yes—
1005#383C2312yes—
1006#383C2312yes—
1007#382C2311yescharacteristic
1008#382C2312yes—
1009#382C2311yescharacteristic
1010#382C2311yescharacteristic
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2311yescharacteristic
1016#382C2311yescharacteristic
1017#382C2312yes—
1018#382C2311yescharacteristic
1019#382C2311yescharacteristic
1020#382C2312yes—
1021#382C2311yescharacteristic
1022#382C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049C4×C4⋊C4C2311yescharacteristic
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2311yescharacteristic
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2311yescharacteristic
1054C4×C4⋊C4C2311yescharacteristic
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2311yescharacteristic
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊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—
1095#376C2312yes—
1096C2×#95C2312yes—
1097C43C2311yescharacteristic
1098C22×Q8C2412yes—
1099C22×Q8C2411yescharacteristic
1100C22×Q8C2412yes—
1101C22×Q8C2412yes—
1102C22×Q8C2412yes—
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2411yescharacteristic
1106C22×D4C2411yescharacteristic
1107C22×D4C2412yes—
1108C22×D4C2411yescharacteristic
1109C22×D4C2412yes—
1110C22×D4C2412yes—
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2411yescharacteristic
1115C23×C4C2412yes—
1116C23×C4C2412yes—
1117C23×C4C2412yes—
1118C23×C4C2412yes—
1119C23×C4C2412yes—
1120C23×C4C2412yes—
1121C23×C4C2412yes—
1122C23×C4C2412yes—
1123C23×C4C2412yes—
1124C4⋊Q8—42no—
1125C4⋊Q8—42no—
1126C4⋊Q8—42no—
1127C4⋊Q8—44no—
1128C4⋊Q8—44no—
1129C4⋊Q8—82no—
1130C4⋊Q8—82no—
1131#126—44no—
1132#126—44no—
1133#126—82no—
1134#126—82no—
1135#126—82no—
1136#125—24no—
1137#125—42no—
1138#125—44no—
1139#125—82no—
1140#124—42no—
1141#124—44no—
1142#124—42no—
1143#124—44no—
1144#124—44no—
1145#124—44no—
1146#124—82no—
1147#124—82no—
1148#123—28no—
1149#123—44no—
1150#123—44no—
1151#123—82no—
1152C22⋊Q8—44no—
1153C22⋊Q8—44no—
1154C22⋊Q8—44no—
1155C22⋊Q8—44no—
1156C22⋊Q8—44no—
1157C22⋊Q8—82no—
1158C22⋊Q8—82no—
1159C22⋊Q8—82no—
1160#121—44no—
1161#121—82no—
1162#121—82no—
1163#121—82no—
1164C4×Q8—42no—
1165C4×Q8—82no—
1166C4×Q8—82no—
1167C4×Q8—82no—
1168C4×Q8—82no—
1169C4×Q8—82no—
1170C4×D4—42no—
1171C4×D4—42no—
1172C4×D4—82no—
1173C4×D4—82no—
1174C4×D4—82no—
1175C4×D4—82no—
1176C4×D4—82no—
1177#117—82no—
1178#117—82no—
1179#117—82no—
1180#117—82no—
1181#117—82no—
1182C2×C4⋊C4—28no—
1183C2×C4⋊C4—44no—
1184C2×C4⋊C4C2412yes—
1185C2×C4⋊C4C2412yes—
1186C2×C4⋊C4C2412yes—
1187C2×C4⋊C4C2412yes—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2411yescharacteristic
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2411yescharacteristic
1192C2×C4⋊C4C2411yescharacteristic
1193C2×C4⋊C4C2412yes—
1194C2×C4⋊C4C2412yes—
1195C2×C4⋊C4C2412yes—
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2411yescharacteristic
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2411yescharacteristic
1219C2×C4⋊C4C2411yescharacteristic
1220C2×C4⋊C4C2411yescharacteristic
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2411yescharacteristic
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2411yescharacteristic
1232C2×C4⋊C4C2411yescharacteristic
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2411yescharacteristic
1256C2×C4⋊C4C2411yescharacteristic
1257C2×C4⋊C4C2411yescharacteristic
1258C2×C4⋊C4C2411yescharacteristic
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2411yescharacteristic
1268C2×C4⋊C4C2411yescharacteristic
1269C2×C4⋊C4C2411yescharacteristic
1270C2×C4⋊C4C2411yescharacteristic
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2411yescharacteristic
1273C2×C4⋊C4C2411yescharacteristic
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2411yescharacteristic
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C22⋊C4C2412yes—
1282C2×C22⋊C4C2412yes—
1283C2×C22⋊C4C2412yes—
1284C2×C22⋊C4C2412yes—
1285C2×C22⋊C4C2412yes—
1286C2×C22⋊C4C2412yes—
1287C2×C22⋊C4C2412yes—
1288C2×C22⋊C4C2412yes—
1289C2×C22⋊C4C2412yes—
1290C2×C22⋊C4C2412yes—
1291C2×C22⋊C4C2412yes—
1292C2×C22⋊C4C2412yes—
1293C2×C22⋊C4C2412yes—
1294C2×C22⋊C4C2412yes—
1295C2×C22⋊C4C2412yes—
1296C2×C22⋊C4C2412yes—
1297C2×C22⋊C4C2412yes—
1298C2×C22⋊C4C2412yes—
1299C2×C22⋊C4C2412yes—
1300C2×C22⋊C4C2412yes—
1301C2×C22⋊C4C2412yes—
1302C2×C22⋊C4C2412yes—
1303C2×C22⋊C4C2412yes—
1304C2×C22⋊C4C2412yes—
1305C2×C22⋊C4C2412yes—
1306C2×C22⋊C4C2412yes—
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C22⋊C4C2412yes—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C42C2411yescharacteristic
1351C2×C42C2411yescharacteristic
1352C2×C42C2411yescharacteristic
1353C2×C42C2412yes—
1354C2×C42C2411yescharacteristic
1355C2×C42C2411yescharacteristic
1356C2×C42C2412yes—
1357C2×C42C2412yes—
1358C2×C42C2412yes—
1359C2×C42C2412yes—
1360C2×C42C2412yes—
1361C2×C42C2412yes—
1362C2×C42C2412yes—
1363C2×C42C2412yes—
1364C2×C42C2412yes—
1365C2×C42C2412yes—
1366C2×C42C2412yes—
1367C2×C42C2412yes—
1368C2×C42C2411yescharacteristic
1369C2×C42C2412yes—
1370C2×C42C2412yes—
1371C2×C42C2412yes—
1372C2×C42C2412yes—
1373C2×C42C2412yes—
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2411yescharacteristic
1383C2×C42C2412yes—
1384#95C2412yes—
1385#95C2412yes—
1386#95C2412yes—
1387#95C2412yes—
1388#95C2412yes—
1389#95C2412yes—
1390#95C2412yes—
1391#95C2412yes—
1392#95C2412yes—
1393#95C2412yes—
1394#95C2412yes—
1395#95C2412yes—
1396#95C2412yes—
1397#95C2412yes—
1398#95C2412yes—
1399#95C2412yes—
1400#95C2412yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2412yes—
1404#95C2412yes—
1405#95C2412yes—
1406#95C2412yes—
1407#95C2412yes—
1408#95C2412yes—
1409#95C2412yes—
1410#95C2412yes—
1411#95C2412yes—
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
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—
1501C24C2512yes—
1502C24C2512yes—
1503C24C2512yes—
1504C2×Q8—24no—
1505C2×Q8—22no—
1506C2×Q8—24no—
1507C2×Q8—24no—
1508C2×Q8—41no—
1509C2×Q8—42no—
1510C2×Q8—42no—
1511C2×Q8—42no—
1512C2×Q8—42no—
1513C2×Q8—42no—
1514C2×Q8—42no—
1515C2×Q8—42no—
1516C2×Q8—42no—
1517C2×Q8—42no—
1518C2×Q8—41no—
1519C2×Q8—42no—
1520C2×Q8—42no—
1521C2×Q8—42no—
1522C2×Q8—42no—
1523C2×Q8—42no—
1524C2×Q8—41no—
1525C2×Q8—42no—
1526C2×Q8—41no—
1527C2×Q8—41no—
1528C2×D4—24no—
1529C2×D4—22no—
1530C2×D4—22no—
1531C2×D4—41no—
1532C2×D4—41no—
1533C2×D4—42no—
1534C2×D4—42no—
1535C2×D4—42no—
1536C2×D4—42no—
1537C2×D4—42no—
1538C2×D4—42no—
1539C2×D4—42no—
1540C2×D4—42no—
1541C2×D4—42no—
1542C2×D4—41no—
1543C2×D4—41no—
1544C2×D4—42no—
1545C2×D4—42no—
1546C2×D4—42no—
1547C2×D4—42no—
1548C2×D4—41no—
1549C2×D4—42no—
1550C2×D4—42no—
1551C2×D4—42no—
1552C2×D4—41no—
1553C2×D4—41no—
1554C2×D4—42no—
1555C22×C4—24no—
1556C22×C4—24no—
1557C22×C4—24no—
1558C22×C4—24no—
1559C22×C4—24no—
1560C22×C4—42no—
1561C22×C4—42no—
1562C22×C4—42no—
1563C22×C4—42no—
1564C22×C4—42no—
1565C22×C4—42no—
1566C22×C4—42no—
1567C22×C4—42no—
1568C22×C4—42no—
1569C22×C4—42no—
1570C22×C4—42no—
1571C22×C4—42no—
1572C22×C4—42no—
1573C22×C4—42no—
1574C22×C4—42no—
1575C22×C4—42no—
1576C22×C4—42no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—42no—
1580C22×C4—42no—
1581C22×C4—42no—
1582C22×C4C2512yes—
1583C22×C4C2511yescharacteristic
1584C22×C4C2512yes—
1585C22×C4C2512yes—
1586C22×C4C2512yes—
1587C22×C4C2512yes—
1588C22×C4C2512yes—
1589C22×C4C2511yescharacteristic
1590C22×C4C2512yes—
1591C22×C4C2512yes—
1592C22×C4C2512yes—
1593C22×C4C2512yes—
1594C22×C4C2512yes—
1595C22×C4C2512yes—
1596C22×C4C2512yes—
1597C22×C4C2512yes—
1598C22×C4C2512yes—
1599C22×C4C2512yes—
1600C22×C4C2512yes—
1601C22×C4C2512yes—
1602C22×C4C2512yes—
1603C22×C4C2512yes—
1604C22×C4C2511yescharacteristic
1605C22×C4C2512yes—
1606C22×C4C2512yes—
1607C22×C4C2512yes—
1608C22×C4C2512yes—
1609C22×C4C2511yescharacteristic
1610C22×C4C2512yes—
1611C22×C4C2511yescharacteristic
1612C22×C4C2511yescharacteristic
1613C22×C4C2511yescharacteristic
1614C4⋊C4—24no—
1615C4⋊C4—24no—
1616C4⋊C4—24no—
1617C4⋊C4—24no—
1618C4⋊C4—24no—
1619C4⋊C4—24no—
1620C4⋊C4—22no—
1621C4⋊C4—24no—
1622C4⋊C4—24no—
1623C4⋊C4—22no—
1624C4⋊C4—24no—
1625C4⋊C4—24no—
1626C4⋊C4—22no—
1627C4⋊C4—22no—
1628C4⋊C4—24no—
1629C4⋊C4—24no—
1630C4⋊C4—24no—
1631C4⋊C4—42no—
1632C4⋊C4—42no—
1633C4⋊C4—41no—
1634C4⋊C4—41no—
1635C4⋊C4—41no—
1636C4⋊C4—42no—
1637C4⋊C4—42no—
1638C4⋊C4—42no—
1639C4⋊C4—42no—
1640C4⋊C4—42no—
1641C4⋊C4—42no—
1642C4⋊C4—42no—
1643C4⋊C4—42no—
1644C4⋊C4—42no—
1645C4⋊C4—42no—
1646C4⋊C4—42no—
1647C4⋊C4—42no—
1648C4⋊C4—42no—
1649C4⋊C4—42no—
1650C4⋊C4—42no—
1651C4⋊C4—41no—
1652C4⋊C4—42no—
1653C4⋊C4—42no—
1654C4⋊C4—42no—
1655C4⋊C4—42no—
1656C4⋊C4—42no—
1657C4⋊C4—41no—
1658C4⋊C4—41no—
1659C4⋊C4—41no—
1660C4⋊C4—42no—
1661C4⋊C4—42no—
1662C4⋊C4—42no—
1663C4⋊C4—42no—
1664C4⋊C4—42no—
1665C4⋊C4—42no—
1666C4⋊C4—42no—
1667C4⋊C4—42no—
1668C4⋊C4—42no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—41no—
1679C4⋊C4—41no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—42no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—41no—
1687C4⋊C4—42no—
1688C4⋊C4—41no—
1689C4⋊C4—41no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—41no—
1699C4⋊C4—41no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—41no—
1703C4⋊C4—41no—
1704C4⋊C4—41no—
1705C4⋊C4—41no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C42−1+414yes—
1711C22⋊C4—24no—
1712C22⋊C4—24no—
1713C22⋊C4—24no—
1714C22⋊C4—24no—
1715C22⋊C4—24no—
1716C22⋊C4—24no—
1717C22⋊C4—24no—
1718C22⋊C4—24no—
1719C22⋊C4—24no—
1720C22⋊C4—42no—
1721C22⋊C4—42no—
1722C22⋊C4—42no—
1723C22⋊C4—42no—
1724C22⋊C4—42no—
1725C22⋊C4—42no—
1726C22⋊C4—42no—
1727C22⋊C4—42no—
1728C22⋊C4—42no—
1729C22⋊C4—42no—
1730C22⋊C4—42no—
1731C22⋊C4—42no—
1732C22⋊C4—42no—
1733C22⋊C4—42no—
1734C22⋊C4—42no—
1735C22⋊C4—42no—
1736C22⋊C4—42no—
1737C22⋊C4—42no—
1738C22⋊C4—42no—
1739C22⋊C4—42no—
1740C22⋊C4—42no—
1741C22⋊C4—42no—
1742C22⋊C4—42no—
1743C22⋊C4—42no—
1744C22⋊C4—42no—
1745C22⋊C4—42no—
1746C22⋊C4—42no—
1747C22⋊C4—42no—
1748C22⋊C4—42no—
1749C22⋊C4—42no—
1750C22⋊C4—42no—
1751C22⋊C4—42no—
1752C22⋊C4—42no—
1753C22⋊C4—42no—
1754C22⋊C4—42no—
1755C22⋊C4—42no—
1756C22⋊C4—42no—
1757C22⋊C4—42no—
1758C22⋊C4—42no—
1759C22⋊C4—42no—
1760C22⋊C4—42no—
1761C22⋊C4—42no—
1762C22⋊C4—42no—
1763C22⋊C4—42no—
1764C22⋊C4—42no—
1765C22⋊C4—42no—
1766C22⋊C4—42no—
1767C22⋊C4—42no—
1768C22⋊C4—42no—
1769C22⋊C4—42no—
1770C22⋊C4—42no—
1771C22⋊C4—42no—
1772C22⋊C4—42no—
1773C22⋊C4—42no—
1774C22⋊C4—42no—
1775C22⋊C4—42no—
1776C22⋊C4—42no—
1777C22⋊C4—42no—
1778C22⋊C4—42no—
1779C22⋊C4—42no—
1780C42—22no—
1781C42—22no—
1782C42—22no—
1783C42—22no—
1784C42—24no—
1785C42—41no—
1786C42—42no—
1787C42—41no—
1788C42—42no—
1789C42—42no—
1790C42—42no—
1791C42—42no—
1792C42—42no—
1793C42—42no—
1794C42—42no—
1795C42—42no—
1796C42—42no—
1797C42—42no—
1798C42—42no—
1799C42—42no—
1800C42—42no—
1801C42—41no—
1802C42—42no—
1803C42—42no—
1804C42—42no—
1805C42—42no—
1806C42—42no—
1807C42—42no—
1808C42—42no—
1809C42—42no—
1810C42—42no—
1811C42—42no—
1812C42—42no—
1813C42—42no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—22no—
1818C23—22no—
1819C23—22no—
1820C23—22no—
1821C23—22no—
1822C23—22no—
1823C23—22no—
1824C23—22no—
1825C23—22no—
1826C23—22no—
1827C23—22no—
1828C23—22no—
1829C23—22no—
1830C23—22no—
1831C23—22no—
1832C23—22no—
1833C23—22no—
1834C23—22no—
1835C23C2611yescharacteristic
1836Q8—84no—
1837Q8—82no—
1838Q8—84no—
1839Q8—84no—
1840Q8—84no—
1841Q8—84no—
1842Q8—161no—
1843Q8—162no—
1844D4—44no—
1845D4—84no—
1846D4—82no—
1847D4—84no—
1848D4—84no—
1849D4—84no—
1850D4—161no—
1851D4—162no—
1852D4—162no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—21no—
1873C2×C4—22no—
1874C2×C4—21no—
1875C2×C4—21no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—21no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—21no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—21no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—21no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—84no—
1945C2×C4—84no—
1946C2×C4—84no—
1947C2×C4—84no—
1948C2×C4—84no—
1949C2×C4—84no—
1950C2×C4—84no—
1951C2×C4—162no—
1952C2×C4—162no—
1953C2×C4C2×2−1+412yes—
1954C2×C4C2×2−1+414yes—
1955C2×C4#58512yes—
1956C2×C4#58512yes—
1957C2×C4#58512yes—
1958C22—42no—
1959C22—42no—
1960C22—42no—
1961C22—42no—
1962C22—42no—
1963C22—42no—
1964C22—42no—
1965C22—42no—
1966C22—42no—
1967C22—42no—
1968C22—42no—
1969C22—42no—
1970C22—42no—
1971C22—42no—
1972C22—42no—
1973C22—42no—
1974C22—42no—
1975C22—42no—
1976C22—42no—
1977C22—42no—
1978C22—42no—
1979C22C22×2−1+411yescharacteristic
1980C22C2×#58511yescharacteristic
1981C22C2×#58511yescharacteristic
1982C22C2×#58511yescharacteristic
1983C22H(7,𝔽2)11yescharacteristic
1984C22H(7,𝔽2)11yescharacteristic
1985C222−1+611yescharacteristic
1986C4—24no—
1987C4—22no—
1988C4—22no—
1989C4—22no—
1990C4—22no—
1991C4—41no—
1992C4—42no—
1993C4—42no—
1994C4—41no—
1995C4—42no—
1996C4—42no—
1997C4—42no—
1998C4—42no—
1999C4—42no—
2000C4—41no—
2001C4—42no—
2002C4—42no—
2003C4—42no—
2004C4—42no—
2005C4—42no—
2006C4—42no—
2007C4—42no—
2008C4—42no—
2009C4—42no—
2010C4—42no—
2011C4—42no—
2012C4—42no—
2013C4—42no—
2014C4—42no—
2015C4—42no—
2016C4—42no—
2017C4—42no—
2018C2—82no—
2019C2—82no—
2020C2—82no—
2021C2#6286911yescharacteristic
2022C2#6290811yescharacteristic
2023C2#6295911yescharacteristic
2024C2#6296511yescharacteristic
2025C2#6303411yescharacteristic
2026C2#6305411yescharacteristic
2027C2#6305611yescharacteristic
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. #59437C2semidirect
2. #58555C2semidirect
3. #58534C2semidirect
4. #58249C2semidirect
5. #57935C2semidirect
6. #57582C2semidirect
7. #56856C2semidirect
8. #54280C2semidirect
9. #53892C2semidirect
10. #53061C2semidirect
11. #52737C2semidirect
12. #50568C2semidirect
13. #48385C2semidirect
14. #48178C2semidirect
15. #48134C2semidirect
16. #47124C2semidirect
17. #47009C2semidirect
18. #46880C2semidirect
19. #46558C2semidirect
20. #46162C2semidirect
21. #46155C2semidirect
22. #44115C2semidirect
23. #43851C2semidirect
24. #43564C2semidirect
25. #43386C2semidirect
26. #43280C2semidirect
27. #43260C2semidirect
28. #42381C2semidirect
29. #42140C2semidirect
30. #41012C2semidirect
31. #40624C2semidirect
32. #39200C2semidirect
33. #38829C2semidirect
34. #38810C2semidirect
35. #37252C2semidirect

Maximal subgroups

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

subgroupindex
#594372
#585552
#585342
#582492
#579352
#575822
#568562
#542802
#538922
#530612
#527372
#505682
#483852
#481782
#481342
#471242
#470092
#468802
#465582
#461622
#461552
#441152
#438512
#435642
#433862
#432802
#432602
#423812
#421402
#410122
#406242
#392002
#388292
#388102
#372522