Finite Group Databasebeta

← #9243767

Subgroups — #9243767

Order 512.

4123 conjugacy classes of subgroups.

The subgroup lattice has 2043 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59256C211yesmaximal, characteristic, complemented
2#58947C212yesmaximal, complemented
3#58877C212yesmaximal, complemented
4#58429C212yesmaximal, complemented
5#58054C212yesmaximal, complemented
6#56829C212yesmaximal, complemented
7#56725C212yesmaximal, complemented
8#53936C212yesmaximal, complemented
9#53827C212yesmaximal, complemented
10#53756C212yesmaximal, complemented
11#53754C212yesmaximal, complemented
12#53678C212yesmaximal, complemented
13#53599C212yesmaximal, complemented
14#52830C212yesmaximal, complemented
15#51976C212yesmaximal, complemented
16#51661C212yesmaximal, complemented
17#50841C212yesmaximal, complemented
18#50705C212yesmaximal, complemented
19#50521C212yesmaximal, complemented
20#49620C212yesmaximal, complemented
21#49454C212yesmaximal, complemented
22#48829C212yesmaximal, complemented
23#47360C212yesmaximal, complemented
24#46771C212yesmaximal, complemented
25#45787C211yesmaximal, characteristic, complemented
26#45403C212yesmaximal, complemented
27#42314C212yesmaximal, complemented
28#42004C212yesmaximal, complemented
29#41697C212yesmaximal, complemented
30#41279C212yesmaximal, complemented
31#39838C211yesmaximal, characteristic
32#39636C211yesmaximal, characteristic, complemented
33#39350C211yesmaximal, characteristic, complemented
34#37867C211yesmaximal, characteristic, complemented
35#37463C211yesmaximal, characteristic, complemented
36C2×#563C2212yes—
37C2×#552C2212yes—
38C2×#542C2212yes—
39#2857C2211yescharacteristic
40#2854C2211yescharacteristic
41#2845C2212yes—
42#2844C2212yes—
43#2843C2212yes—
44#2841C2212yes—
45#2839C2212yes—
46#2839C2212yes—
47#2838C2212yes—
48#2838C2212yes—
49#2838C2212yes—
50#2838C2212yes—
51#2836C2212yes—
52#2833C2212yes—
53#2833C2212yes—
54#2831C2212yes—
55#2831C2212yes—
56#2831C2212yes—
57#2820C2212yes—
58#2814C2212yes—
59#2814C2212yes—
60#2811C2212yes—
61#2809C2211yescharacteristic
62#2809C2212yes—
63#2806C2212yes—
64#2806C2212yes—
65#2799C2212yes—
66#2797C2212yes—
67#2796C2212yes—
68#2792C2212yes—
69#2791C2212yes—
70#2791C2212yes—
71#2789C2212yes—
72#2788C2212yes—
73#2788C2212yes—
74#2787C2212yes—
75#2786C2212yes—
76#2786C2212yes—
77#2783C2212yes—
78#2783C2212yes—
79#2782C2212yes—
80#2781C2212yes—
81#2778C2212yes—
82#2775C2212yes—
83#2774C2212yes—
84#2774C2212yes—
85#2773C2212yes—
86#2773C2212yes—
87#2773C2212yes—
88#2772C2212yes—
89#2772C2212yes—
90#2770C2212yes—
91#2770C2212yes—
92#2768C2212yes—
93#2768C2212yes—
94#2768C2212yes—
95#2766C2212yes—
96#2763C2212yes—
97#2757C2212yes—
98#2755C2212yes—
99#2755C2212yes—
100#2755C2212yes—
101#2754C2212yes—
102#2754C2212yes—
103#2752C2212yes—
104#2751C2212yes—
105#2750C2212yes—
106#2749C2212yes—
107#2749C2212yes—
108#2747C2212yes—
109#2747C2212yes—
110#2746C2212yes—
111#2745C2212yes—
112#2744C2212yes—
113#2743C2212yes—
114#2739C2212yes—
115#2738C2212yes—
116#2738C2212yes—
117#2738C2212yes—
118#2734C2211yescharacteristic
119#2733C2211yescharacteristic
120#2732C2211yescharacteristic
121#2731C2212yes—
122#2730C2212yes—
123#2730C2212yes—
124#2729C2212yes—
125#2729C2212yes—
126#2728C2212yes—
127#2727C2211yescharacteristic
128#2727C2211yescharacteristic
129#2726C2212yes—
130#2726C2211yescharacteristic
131#2725C2212yes—
132#2724C2212yes—
133#2724C2211yescharacteristic
134#2723C2212yes—
135#2723C2212yes—
136#2723C2212yes—
137#2722C2212yes—
138#2722C2212yes—
139#2721C2212yes—
140#2721C2212yes—
141#2721C2212yes—
142#2720C2212yes—
143#2720C2212yes—
144#2720C2212yes—
145#2719C2212yes—
146#2719C2212yes—
147#2719C2212yes—
148#2717C2212yes—
149#2717C2212yes—
150#2717C2212yes—
151#2716C2212yes—
152#2716C2212yes—
153#2715C2212yes—
154#2713C2212yes—
155#2713C2212yes—
156#2713C2212yes—
157#2713C2212yes—
158#2713C2212yes—
159#2712C2212yes—
160#2706C2212yes—
161#2706C2212yes—
162#2704C2212yes—
163#2704C2212yes—
164#2704C2212yes—
165#2704C2212yes—
166#2704C2212yes—
167#2698C2212yes—
168#2698C2212yes—
169#2698C2212yes—
170#2698C2212yes—
171#2698C2212yes—
172#2698C2212yes—
173#2698C2212yes—
174#2698C2212yes—
175#2695C2212yes—
176#2695C2212yes—
177#2693C2212yes—
178#2692C2212yes—
179#2692C2212yes—
180#2692C2212yes—
181#2690C2212yes—
182#2689C2212yes—
183#2689C2212yes—
184#2689C2212yes—
185#2687C2212yes—
186#2683C2212yes—
187#2683C2212yes—
188#2680C2212yes—
189#2680C2212yes—
190#2677C2212yes—
191#2672C2212yes—
192#2667C2212yes—
193#2666C2212yes—
194#2666C2212yes—
195#2666C2212yes—
196#2666C2212yes—
197#2666C2212yes—
198#2666C2212yes—
199#2664C2212yes—
200#2664C2212yes—
201#2661C2212yes—
202#2660C2212yes—
203#2659C2211yescharacteristic
204#2659C2211yescharacteristic
205#2655C2212yes—
206#2655C2212yes—
207#2651C2212yes—
208#2651C2212yes—
209#2650C2212yes—
210#2650C2212yes—
211#2650C2212yes—
212#2646C2211yescharacteristic
213#2646C2211yescharacteristic
214#2643C2212yes—
215#2639C2211yescharacteristic
216#2638C2212yes—
217#2637C2212yes—
218#2627C2212yes—
219#2627C2211yescharacteristic
220#2625C2212yes—
221#2621C2212yes—
222#2618C2211yescharacteristic
223#2618C2211yescharacteristic
224#2612C2212yes—
225#2610C2212yes—
226#2605C2212yes—
227#2605C2212yes—
228#2603C2212yes—
229#2600C2212yes—
230#2596C2212yes—
231#2596C2212yes—
232#2594C2212yes—
233#2594C2212yes—
234#2594C2212yes—
235#2590C2212yes—
236#2589C2212yes—
237#2588C2212yes—
238#2587C2212yes—
239#2586C2212yes—
240#2585C2212yes—
241#2585C2212yes—
242#2583C2212yes—
243#2583C2212yes—
244#2582C2211yescharacteristic
245#2571C2211yescharacteristic
246#2570C2212yes—
247#2564C2212yes—
248#2560C2212yes—
249#2560C2212yes—
250#2560C2212yes—
251#2557C2212yes—
252#2557C2212yes—
253#2556C2212yes—
254#2556C2212yes—
255#2554C2212yes—
256#2553C2212yes—
257#2553C2212yes—
258#2551C2211yescharacteristic
259#2550C2212yes—
260#2550C2212yes—
261#2550C2212yes—
262#2549C2212yes—
263#2549C2212yes—
264#2547C2211yescharacteristic
265#2547C2212yes—
266#2536C2212yes—
267#2532C2212yes—
268#2531C2212yes—
269#2530C2212yes—
270#2529C2212yes—
271#2528C2212yes—
272#2528C2212yes—
273#2525C2212yes—
274#2521C2212yes—
275#2521C2212yes—
276#2520C2212yes—
277#2520C2212yes—
278#2520C2212yes—
279#2520C2212yes—
280#2519C2212yes—
281#2519C2212yes—
282#2519C2212yes—
283#2517C2212yes—
284#2516C2212yes—
285#2516C2212yes—
286#2515C2212yes—
287#2515C2212yes—
288#2515C2212yes—
289#2514C2212yes—
290#2512C2212yes—
291#2512C2212yes—
292#2512C2212yes—
293#2511C2212yes—
294#2510C2212yes—
295#2509C2212yes—
296#2508C2212yes—
297#2507C2212yes—
298#2506C2212yes—
299#2505C2212yes—
300#2499C2212yes—
301#2498C2212yes—
302#2498C2212yes—
303#2496C2212yes—
304#2496C2212yes—
305#2495C2212yes—
306#2494C2212yes—
307#2492C2212yes—
308#2489C2212yes—
309#2489C2212yes—
310#2488C2212yes—
311#2488C2212yes—
312#2486C2212yes—
313#2481C2212yes—
314#2479C2212yes—
315#2478C2212yes—
316#2478C2212yes—
317#2478C2212yes—
318#2475C2212yes—
319#2474C2212yes—
320#2474C2212yes—
321#2473C2212yes—
322#2469C2212yes—
323#2468C2212yes—
324#2467C2212yes—
325#2465C2212yes—
326#2462C2212yes—
327#2462C2212yes—
328#2461C2212yes—
329#2461C2212yes—
330#2460C2212yes—
331#2456C2212yes—
332#2454C2212yes—
333#2453C2212yes—
334#2451C2212yes—
335#2451C2212yes—
336#2450C2212yes—
337#2449C2212yes—
338#2448C2212yes—
339#2448C2212yes—
340#2447C2212yes—
341#2447C2212yes—
342#2446C2212yes—
343#2440C2212yes—
344#2438C2212yes—
345#2429C2212yes—
346#2421C2212yes—
347#2421C2212yes—
348#2419C2212yes—
349#2419C2212yes—
350#2417C2212yes—
351#2402C2212yes—
352#2399C2212yes—
353#2379C2212yes—
354#2378C2212yes—
355#2370C2212yes—
356#2368C2212yes—
357#2367C2212yes—
358#2365C2211yescharacteristic
359#2356C2212yes—
360#2355C2212yes—
361#2355C2211yescharacteristic
362Q8×C4⋊C4C2211yescharacteristic
363D4×C4⋊C4C2211yescharacteristic
364#2346C2212yes—
365#2337C2212yes—
366#2335C2212yes—
367#2332C2212yes—
368#2329C2211yescharacteristic
369#2329C2211yescharacteristic
370#2325C2211yescharacteristic
371#2320C2212yes—
372#2319C2212yes—
373#2316C2211yescharacteristic
374C4×C22⋊Q8C2211yescharacteristic
375C4×C22⋊Q8C2211yescharacteristic
376C4×#121C2211yescharacteristic
377C2×#387C2211yescharacteristic
378#2285C2211yescharacteristic
379#563—48no—
380#552—48no—
381#542—48no—
382C2×C4⋊Q8C2311yescharacteristic
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#124C2312yes—
406C2×#124C2312yes—
407C2×#124C2312yes—
408C2×#124C2312yes—
409C2×#124C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×#121C2311yescharacteristic
435C2×#121C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C22×C4⋊C4C2311yescharacteristic
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2312yes—
452C22×C42C2311yescharacteristic
453#401C2312yes—
454#401C2312yes—
455#401C2312yes—
456#401C2312yes—
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#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#399C2312yes—
504#399C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
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#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#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#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
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#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
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#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#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#392C2312yes—
698#392C2312yes—
699#392C2312yes—
700#392C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2311yescharacteristic
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2311yescharacteristic
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#390C2311yescharacteristic
736#390C2312yes—
737#390C2312yes—
738#390C2312yes—
739#390C2312yes—
740#390C2311yescharacteristic
741#390C2312yes—
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2311yescharacteristic
746#390C2312yes—
747#389C2311yescharacteristic
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2311yescharacteristic
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2311yescharacteristic
781#389C2312yes—
782#389C2312yes—
783#389C2311yescharacteristic
784#389C2311yescharacteristic
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2311yescharacteristic
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2311yescharacteristic
798#389C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#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#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#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
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#384C2312yes—
997#384C2311yescharacteristic
998#384C2312yes—
999#384C2311yescharacteristic
1000#384C2311yescharacteristic
1001#384C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#383C2312yes—
1005#383C2312yes—
1006#383C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2311yescharacteristic
1034#380C2311yescharacteristic
1035#380C2312yes—
1036#380C2312yes—
1037#380C2311yescharacteristic
1038#380C2311yescharacteristic
1039#380C2312yes—
1040#380C2312yes—
1041#380C2311yescharacteristic
1042#380C2312yes—
1043#380C2311yescharacteristic
1044#380C2311yescharacteristic
1045#380C2312yes—
1046#380C2311yescharacteristic
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2311yescharacteristic
1061C4×C4⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2311yescharacteristic
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—
1093#376C2312yes—
1094#376C2312yes—
1095#376C2312yes—
1096C2×#95C2311yescharacteristic
1097C2×#95C2311yescharacteristic
1098C2×#95C2311yescharacteristic
1099C2×#95C2311yescharacteristic
1100C2×#95C2312yes—
1101C22×Q8C2411yescharacteristic
1102C22×Q8C2412yes—
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2412yes—
1106C22×Q8C2412yes—
1107C22×Q8C2412yes—
1108C22×Q8C2411yescharacteristic
1109C22×D4C2411yescharacteristic
1110C22×D4C2412yes—
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2411yescharacteristic
1114C22×D4C2412yes—
1115C23×C4C2411yescharacteristic
1116C23×C4C2412yes—
1117C23×C4C2411yescharacteristic
1118C23×C4C2411yescharacteristic
1119C23×C4C2411yescharacteristic
1120C23×C4C2412yes—
1121C23×C4C2412yes—
1122C23×C4C2411yescharacteristic
1123C23×C4C2412yes—
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2411yescharacteristic
1127C23×C4C2411yescharacteristic
1128C4⋊Q8—42no—
1129C4⋊Q8—44no—
1130C4⋊Q8—44no—
1131C4⋊Q8—44no—
1132C4⋊Q8—82no—
1133#126—44no—
1134#126—44no—
1135#126—44no—
1136#126—44no—
1137#126—44no—
1138#126—44no—
1139#126—44no—
1140#126—44no—
1141#126—82no—
1142#126—82no—
1143#125—44no—
1144#125—44no—
1145#125—44no—
1146#125—44no—
1147#125—44no—
1148#125—44no—
1149#125—82no—
1150#125—82no—
1151#124—28no—
1152#124—44no—
1153#124—44no—
1154#124—44no—
1155#124—44no—
1156#123—28no—
1157#123—44no—
1158#123—44no—
1159#123—44no—
1160#123—44no—
1161#123—82no—
1162#123—82no—
1163C22⋊Q8—24no—
1164C22⋊Q8—28no—
1165C22⋊Q8—24no—
1166C22⋊Q8—44no—
1167C22⋊Q8—44no—
1168C22⋊Q8—44no—
1169C22⋊Q8—44no—
1170C22⋊Q8—44no—
1171C22⋊Q8—44no—
1172C22⋊Q8—44no—
1173C22⋊Q8—44no—
1174C22⋊Q8—82no—
1175C22⋊Q8—82no—
1176C22⋊Q8—82no—
1177C22⋊Q8—82no—
1178C22⋊Q8—82no—
1179C22⋊Q8—82no—
1180#121—24no—
1181#121—42no—
1182C4×Q8—28no—
1183C4×Q8—42no—
1184C4×Q8—42no—
1185C4×Q8—44no—
1186C4×Q8—44no—
1187C4×D4—44no—
1188C4×D4—42no—
1189C4×D4—44no—
1190C4×D4—44no—
1191C4×D4—82no—
1192#117—28no—
1193#117—44no—
1194#117—44no—
1195C2×C4⋊C4—24no—
1196C2×C4⋊C4—42no—
1197C2×C4⋊C4—82no—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2411yescharacteristic
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2411yescharacteristic
1220C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2411yescharacteristic
1234C2×C4⋊C4C2411yescharacteristic
1235C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
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⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2411yescharacteristic
1274C2×C4⋊C4C2411yescharacteristic
1275C2×C4⋊C4C2411yescharacteristic
1276C2×C4⋊C4C2411yescharacteristic
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2411yescharacteristic
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊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×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C42—42no—
1365C2×C42C2412yes—
1366C2×C42C2412yes—
1367C2×C42C2411yescharacteristic
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×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2411yescharacteristic
1394C2×C42C2411yescharacteristic
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—
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—
1515C24C2512yes—
1516C24C2512yes—
1517C24C2511yescharacteristic
1518C2×Q8—24no—
1519C2×Q8—22no—
1520C2×Q8—41no—
1521C2×Q8—41no—
1522C2×Q8—42no—
1523C2×Q8—41no—
1524C2×Q8—42no—
1525C2×Q8—42no—
1526C2×Q8—41no—
1527C2×Q8—42no—
1528C2×Q8—42no—
1529C2×Q8—42no—
1530C2×Q8—42no—
1531C2×Q8—42no—
1532C2×Q8—42no—
1533C2×Q8—42no—
1534C2×Q8—42no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—42no—
1538C2×Q8—42no—
1539C2×Q8—42no—
1540C2×Q8—42no—
1541C2×Q82−1+414yes—
1542C2×D4—24no—
1543C2×D4—24no—
1544C2×D4—22no—
1545C2×D4—24no—
1546C2×D4—41no—
1547C2×D4—41no—
1548C2×D4—42no—
1549C2×D4—42no—
1550C2×D4—42no—
1551C2×D4—42no—
1552C2×D4—42no—
1553C2×D4—42no—
1554C2×D4—41no—
1555C2×D4—41no—
1556C2×D4—42no—
1557C2×D4—42no—
1558C2×D4—42no—
1559C2×D4—41no—
1560C22×C4—22no—
1561C22×C4—22no—
1562C22×C4—22no—
1563C22×C4—22no—
1564C22×C4—24no—
1565C22×C4—41no—
1566C22×C4—41no—
1567C22×C4—41no—
1568C22×C4—41no—
1569C22×C4—41no—
1570C22×C4—42no—
1571C22×C4—42no—
1572C22×C4—41no—
1573C22×C4—42no—
1574C22×C4—41no—
1575C22×C4—41no—
1576C22×C4—41no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—41no—
1580C22×C4—41no—
1581C22×C4—42no—
1582C22×C4—42no—
1583C22×C4—42no—
1584C22×C4—42no—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—41no—
1589C22×C4—42no—
1590C22×C4—41no—
1591C22×C4—41no—
1592C22×C4—42no—
1593C22×C4—42no—
1594C22×C4—41no—
1595C22×C4—41no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4H(5,𝔽2)14yes—
1599C22×C4C2512yes—
1600C22×C4C2511yescharacteristic
1601C22×C4C2512yes—
1602C22×C4C2512yes—
1603C22×C4C2512yes—
1604C22×C4C2512yes—
1605C22×C4C2512yes—
1606C22×C4C2512yes—
1607C22×C4C2512yes—
1608C22×C4C2511yescharacteristic
1609C22×C4C2512yes—
1610C22×C4C2512yes—
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2512yes—
1620C22×C4C2512yes—
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2511yescharacteristic
1627C22×C4C2511yescharacteristic
1628C22×C4C2512yes—
1629C22×C4C2511yescharacteristic
1630C22×C4C2511yescharacteristic
1631C4⋊C4—24no—
1632C4⋊C4—24no—
1633C4⋊C4—24no—
1634C4⋊C4—24no—
1635C4⋊C4—24no—
1636C4⋊C4—22no—
1637C4⋊C4—24no—
1638C4⋊C4—24no—
1639C4⋊C4—24no—
1640C4⋊C4—24no—
1641C4⋊C4—22no—
1642C4⋊C4—24no—
1643C4⋊C4—24no—
1644C4⋊C4—24no—
1645C4⋊C4—24no—
1646C4⋊C4—22no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—24no—
1652C4⋊C4—42no—
1653C4⋊C4—41no—
1654C4⋊C4—42no—
1655C4⋊C4—42no—
1656C4⋊C4—42no—
1657C4⋊C4—41no—
1658C4⋊C4—42no—
1659C4⋊C4—42no—
1660C4⋊C4—42no—
1661C4⋊C4—41no—
1662C4⋊C4—41no—
1663C4⋊C4—41no—
1664C4⋊C4—41no—
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—42no—
1680C4⋊C4—42no—
1681C4⋊C4—41no—
1682C4⋊C4—41no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—41no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—41no—
1693C4⋊C4—41no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—41no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—41no—
1736C4⋊C4—41no—
1737C4⋊C4—41no—
1738C4⋊C4—41no—
1739C22⋊C4—24no—
1740C22⋊C4—24no—
1741C22⋊C4—24no—
1742C22⋊C4—24no—
1743C22⋊C4—24no—
1744C22⋊C4—24no—
1745C22⋊C4—24no—
1746C22⋊C4—24no—
1747C22⋊C4—24no—
1748C22⋊C4—24no—
1749C22⋊C4—24no—
1750C22⋊C4—24no—
1751C22⋊C4—24no—
1752C22⋊C4—24no—
1753C22⋊C4—24no—
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—
1780C22⋊C4—42no—
1781C22⋊C4—42no—
1782C22⋊C4—42no—
1783C22⋊C4—42no—
1784C22⋊C4—42no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C42—24no—
1798C42—24no—
1799C42—24no—
1800C42—24no—
1801C42—24no—
1802C42—24no—
1803C42—22no—
1804C42—22no—
1805C42—41no—
1806C42—41no—
1807C42—42no—
1808C42—42no—
1809C42—42no—
1810C42—42no—
1811C42—42no—
1812C42—42no—
1813C42—42no—
1814C42—42no—
1815C42—42no—
1816C42—42no—
1817C42—42no—
1818C42—42no—
1819C42—42no—
1820C42—42no—
1821C42—42no—
1822C42—42no—
1823C42—42no—
1824C42—42no—
1825C42—42no—
1826C42—42no—
1827C23—21no—
1828C23—21no—
1829C23—21no—
1830C23—21no—
1831C23—21no—
1832C23—21no—
1833C23—22no—
1834C23—22no—
1835C23—22no—
1836C23—22no—
1837C23—22no—
1838C23—22no—
1839C23—22no—
1840C23—22no—
1841C23—22no—
1842C23—22no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23—22no—
1847C23C2×H(5,𝔽2)12yes—
1848C23C2611yescharacteristic
1849Q8—44no—
1850Q8—84no—
1851Q8—82no—
1852Q8—84no—
1853Q8—162no—
1854Q8—162no—
1855Q8—162no—
1856Q8—162no—
1857D4—44no—
1858D4—84no—
1859D4—84no—
1860D4—84no—
1861D4—162no—
1862D4—161no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—22no—
1867C2×C4—21no—
1868C2×C4—21no—
1869C2×C4—22no—
1870C2×C4—21no—
1871C2×C4—21no—
1872C2×C4—21no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
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—21no—
1897C2×C4—21no—
1898C2×C4—21no—
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—21no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—21no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—21no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—44no—
1955C2×C4—44no—
1956C2×C4—84no—
1957C2×C4—82no—
1958C2×C4—82no—
1959C2×C4—82no—
1960C2×C4—84no—
1961C2×C4—161no—
1962C2×C4—162no—
1963C2×C4—161no—
1964C2×C4—162no—
1965C2×C4—162no—
1966C2×C4—162no—
1967C2×C4C2×H(5,𝔽2)12yes—
1968C2×C4C2×H(5,𝔽2)12yes—
1969C2×C4C2×2−1+414yes—
1970C2×C4C2×2−1+412yes—
1971C2×C4#58512yes—
1972C22—22no—
1973C22—22no—
1974C22—22no—
1975C22—41no—
1976C22—41no—
1977C22—41no—
1978C22—41no—
1979C22—42no—
1980C22—42no—
1981C22—42no—
1982C22—42no—
1983C22—42no—
1984C22—42no—
1985C22—42no—
1986C22—42no—
1987C22—42no—
1988C22—42no—
1989C22—42no—
1990C22—42no—
1991C22—42no—
1992C22—42no—
1993C22C22×H(5,𝔽2)11yescharacteristic
1994C22C22×2−1+411yescharacteristic
1995C22C2×#58511yescharacteristic
1996C22H(7,𝔽2)11yescharacteristic
1997C222−1+611yescharacteristic
1998C222−1+611yescharacteristic
1999C222−1+611yescharacteristic
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—24no—
2005C4—42no—
2006C4—42no—
2007C4—42no—
2008C4—42no—
2009C4—42no—
2010C4—42no—
2011C4—41no—
2012C4—42no—
2013C4—42no—
2014C4—42no—
2015C4—42no—
2016C4—42no—
2017C4—42no—
2018C4—42no—
2019C4—42no—
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4—41no—
2028C4—42no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C2—42no—
2033C2—82no—
2034C2—82no—
2035C2#6287211yescharacteristic
2036C2#6287811yescharacteristic
2037C2#6290111yescharacteristic
2038C2#6290411yescharacteristic
2039C2#6294611yescharacteristic
2040C2#6298011yescharacteristic
2041C2#6306111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39838C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59256C2semidirect
2. #58947C2semidirect
3. #58877C2semidirect
4. #58429C2semidirect
5. #58054C2semidirect
6. #56829C2semidirect
7. #56725C2semidirect
8. #53936C2semidirect
9. #53827C2semidirect
10. #53756C2semidirect
11. #53754C2semidirect
12. #53678C2semidirect
13. #53599C2semidirect
14. #52830C2semidirect
15. #51976C2semidirect
16. #51661C2semidirect
17. #50841C2semidirect
18. #50705C2semidirect
19. #50521C2semidirect
20. #49620C2semidirect
21. #49454C2semidirect
22. #48829C2semidirect
23. #47360C2semidirect
24. #46771C2semidirect
25. #45787C2semidirect
26. #45403C2semidirect
27. #42314C2semidirect
28. #42004C2semidirect
29. #41697C2semidirect
30. #41279C2semidirect
32. #39636C2semidirect
33. #39350C2semidirect
34. #37867C2semidirect
35. #37463C2semidirect

Maximal subgroups

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

subgroupindex
#592562
#589472
#588772
#584292
#580542
#568292
#567252
#539362
#538272
#537562
#537542
#536782
#535992
#528302
#519762
#516612
#508412
#507052
#505212
#496202
#494542
#488292
#473602
#467712
#457872
#454032
#423142
#420042
#416972
#412792
#398382
#396362
#393502
#378672
#374632