Finite Group Databasebeta

← #9515203

Subgroups — #9515203

Order 512.

4335 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#58739C212yesmaximal, complemented
2#58295C212yesmaximal, complemented
3#57252C212yesmaximal, complemented
4#56976C212yesmaximal, complemented
5#56847C212yesmaximal, complemented
6#56358C212yesmaximal, complemented
7#55740C212yesmaximal, complemented
8#55473C212yesmaximal, complemented
9#55470C212yesmaximal, complemented
10#54235C212yesmaximal, complemented
11#53638C212yesmaximal, complemented
12#53562C212yesmaximal, complemented
13#53190C211yesmaximal, characteristic, complemented
14#52657C212yesmaximal, complemented
15#51907C212yesmaximal, complemented
16#51873C212yesmaximal, complemented
17#51503C212yesmaximal, complemented
18#50736C212yesmaximal, complemented
19#49580C212yesmaximal, complemented
20#47798C212yesmaximal, complemented
21#46930C212yesmaximal, complemented
22#45972C211yesmaximal, characteristic, complemented
23#44778C212yesmaximal, complemented
24#43792C212yesmaximal, complemented
25#43779C212yesmaximal, complemented
26#42848C212yesmaximal, complemented
27#42254C212yesmaximal, complemented
28#41858C212yesmaximal, complemented
29#41827C212yesmaximal, complemented
30#41500C212yesmaximal, complemented
31#39798C211yesmaximal, characteristic, complemented
32#39137C211yesmaximal, characteristic, complemented
33#37755C211yesmaximal, characteristic, complemented
34#37212C211yesmaximal, characteristic, complemented
35#36761C211yesmaximal, characteristic, complemented
36C2×#562C2211yescharacteristic
37C2×#559C2211yescharacteristic
38C2×#544C2211yescharacteristic
39C2×#542C2212yes—
40C2×#529C2211yescharacteristic
41#2856C2211yescharacteristic
42#2855C2211yescharacteristic
43#2851C2211yescharacteristic
44#2850C2211yescharacteristic
45#2841C2212yes—
46#2841C2212yes—
47#2839C2212yes—
48#2839C2212yes—
49#2838C2212yes—
50#2838C2212yes—
51#2838C2212yes—
52#2837C2212yes—
53#2836C2212yes—
54#2836C2212yes—
55#2830C2212yes—
56#2827C2212yes—
57#2826C2212yes—
58#2826C2212yes—
59#2825C2212yes—
60#2825C2212yes—
61#2822C2211yescharacteristic
62#2820C2211yescharacteristic
63#2820C2212yes—
64#2813C2212yes—
65#2810C2211yescharacteristic
66#2809C2211yescharacteristic
67#2806C2211yescharacteristic
68#2805C2212yes—
69#2804C2211yescharacteristic
70#2800C2212yes—
71#2795C2212yes—
72#2795C2212yes—
73#2795C2212yes—
74#2793C2212yes—
75#2791C2212yes—
76#2791C2212yes—
77#2790C2212yes—
78#2790C2212yes—
79#2789C2212yes—
80#2787C2212yes—
81#2787C2212yes—
82#2787C2212yes—
83#2786C2212yes—
84#2786C2212yes—
85#2781C2212yes—
86#2781C2212yes—
87#2780C2212yes—
88#2780C2212yes—
89#2780C2212yes—
90#2778C2212yes—
91#2778C2212yes—
92#2778C2212yes—
93#2777C2212yes—
94#2777C2212yes—
95#2776C2212yes—
96#2776C2212yes—
97#2772C2212yes—
98#2770C2212yes—
99#2765C2212yes—
100#2761C2212yes—
101#2761C2212yes—
102#2761C2212yes—
103#2761C2212yes—
104#2758C2212yes—
105#2752C2212yes—
106#2750C2212yes—
107#2749C2212yes—
108#2748C2212yes—
109#2745C2212yes—
110#2745C2212yes—
111#2745C2212yes—
112#2744C2212yes—
113#2743C2212yes—
114#2740C2212yes—
115#2740C2212yes—
116#2740C2212yes—
117#2738C2212yes—
118#2734C2211yescharacteristic
119#2733C2211yescharacteristic
120#2732C2212yes—
121#2732C2211yescharacteristic
122#2731C2212yes—
123#2731C2212yes—
124#2730C2212yes—
125#2730C2212yes—
126#2729C2212yes—
127#2729C2212yes—
128#2725C2212yes—
129#2721C2212yes—
130#2720C2212yes—
131#2720C2212yes—
132#2719C2212yes—
133#2716C2212yes—
134#2716C2212yes—
135#2711C2212yes—
136#2710C2212yes—
137#2710C2212yes—
138#2709C2212yes—
139#2709C2212yes—
140#2709C2212yes—
141#2708C2212yes—
142#2708C2212yes—
143#2708C2212yes—
144#2708C2212yes—
145#2707C2212yes—
146#2707C2212yes—
147#2707C2212yes—
148#2707C2212yes—
149#2707C2212yes—
150#2706C2212yes—
151#2706C2212yes—
152#2705C2212yes—
153#2705C2212yes—
154#2705C2212yes—
155#2704C2212yes—
156#2704C2212yes—
157#2703C2212yes—
158#2703C2212yes—
159#2703C2212yes—
160#2703C2212yes—
161#2701C2212yes—
162#2701C2212yes—
163#2700C2212yes—
164#2699C2212yes—
165#2698C2212yes—
166#2696C2212yes—
167#2694C2212yes—
168#2694C2212yes—
169#2693C2212yes—
170#2693C2212yes—
171#2693C2212yes—
172#2692C2212yes—
173#2692C2212yes—
174#2691C2212yes—
175#2691C2212yes—
176#2688C2212yes—
177#2688C2212yes—
178#2688C2212yes—
179#2688C2212yes—
180#2686C2212yes—
181#2686C2212yes—
182#2683C2212yes—
183#2682C2212yes—
184#2682C2212yes—
185#2682C2211yescharacteristic
186#2681C2212yes—
187#2681C2212yes—
188#2676C2212yes—
189#2676C2212yes—
190#2676C2212yes—
191#2675C2212yes—
192#2674C2212yes—
193#2674C2212yes—
194#2674C2212yes—
195#2673C2212yes—
196#2673C2212yes—
197#2672C2212yes—
198#2671C2212yes—
199#2671C2212yes—
200#2671C2212yes—
201#2667C2212yes—
202#2661C2212yes—
203#2661C2212yes—
204#2659C2211yescharacteristic
205#2655C2212yes—
206#2655C2212yes—
207#2653C2212yes—
208#2653C2212yes—
209#2652C2212yes—
210#2652C2212yes—
211#2652C2212yes—
212#2652C2212yes—
213#2651C2212yes—
214#2648C2212yes—
215#2648C2212yes—
216#2647C2212yes—
217#2643C2212yes—
218#2643C2212yes—
219#2639C2211yescharacteristic
220#2639C2211yescharacteristic
221#2638C2212yes—
222#2631C2212yes—
223#2624C2212yes—
224#2620C2212yes—
225#2618C2212yes—
226#2618C2212yes—
227#2618C2211yescharacteristic
228#2618C2211yescharacteristic
229#2618C2211yescharacteristic
230#2611C2212yes—
231#2611C2212yes—
232#2610C2212yes—
233#2609C2212yes—
234#2609C2212yes—
235#2606C2212yes—
236#2604C2212yes—
237#2603C2212yes—
238#2602C2212yes—
239#2598C2212yes—
240#2597C2212yes—
241#2597C2212yes—
242#2587C2212yes—
243#2578C2212yes—
244#2577C2212yes—
245#2577C2212yes—
246#2577C2212yes—
247#2576C2212yes—
248#2576C2212yes—
249#2573C2212yes—
250#2572C2212yes—
251#2570C2212yes—
252#2569C2212yes—
253#2565C2212yes—
254#2560C2212yes—
255#2558C2212yes—
256#2557C2212yes—
257#2557C2212yes—
258#2557C2212yes—
259#2557C2212yes—
260#2555C2212yes—
261#2553C2212yes—
262#2548C2212yes—
263#2545C2212yes—
264#2543C2212yes—
265#2541C2211yescharacteristic
266#2540C2212yes—
267#2538C2211yescharacteristic
268#2538C2212yes—
269#2537C2212yes—
270#2531C2212yes—
271#2531C2212yes—
272#2530C2212yes—
273#2528C2212yes—
274#2528C2212yes—
275#2526C2212yes—
276#2526C2212yes—
277#2522C2212yes—
278#2522C2212yes—
279#2521C2212yes—
280#2518C2212yes—
281#2518C2212yes—
282#2515C2212yes—
283#2514C2212yes—
284#2510C2212yes—
285#2510C2212yes—
286#2502C2212yes—
287#2493C2212yes—
288#2491C2212yes—
289#2488C2212yes—
290#2488C2212yes—
291#2488C2212yes—
292#2487C2212yes—
293#2481C2212yes—
294#2479C2212yes—
295#2477C2212yes—
296#2476C2212yes—
297#2475C2212yes—
298#2474C2212yes—
299#2471C2212yes—
300#2471C2212yes—
301#2471C2212yes—
302#2470C2212yes—
303#2470C2212yes—
304#2466C2212yes—
305#2465C2212yes—
306#2464C2212yes—
307#2464C2212yes—
308#2464C2212yes—
309#2463C2212yes—
310#2462C2212yes—
311#2462C2212yes—
312#2461C2212yes—
313#2460C2212yes—
314#2460C2212yes—
315#2459C2212yes—
316#2458C2212yes—
317#2458C2212yes—
318#2457C2212yes—
319#2457C2212yes—
320#2454C2212yes—
321#2453C2212yes—
322#2450C2212yes—
323#2449C2212yes—
324#2446C2212yes—
325#2444C2212yes—
326#2444C2212yes—
327#2443C2212yes—
328#2443C2212yes—
329#2443C2212yes—
330#2443C2212yes—
331#2442C2212yes—
332#2441C2212yes—
333#2440C2212yes—
334#2439C2212yes—
335#2438C2212yes—
336#2429C2212yes—
337#2428C2212yes—
338#2428C2212yes—
339#2426C2212yes—
340#2426C2212yes—
341#2425C2212yes—
342#2425C2212yes—
343#2422C2212yes—
344#2421C2212yes—
345#2421C2212yes—
346#2419C2212yes—
347#2416C2212yes—
348#2415C2212yes—
349#2413C2212yes—
350#2413C2212yes—
351#2413C2212yes—
352#2401C2212yes—
353#2398C2212yes—
354#2395C2212yes—
355#2379C2211yescharacteristic
356#2376C2212yes—
357#2372C2212yes—
358#2364C2212yes—
359#2364C2212yes—
360#2363C2212yes—
361#2360C2212yes—
362#2359C2212yes—
363#2359C2212yes—
364#2353C2212yes—
365Q8×C4⋊C4C2211yescharacteristic
366#2345C2212yes—
367#2333C2212yes—
368#2333C2212yes—
369#2329C2211yescharacteristic
370#2329C2211yescharacteristic
371#2327C2212yes—
372#2327C2212yes—
373#2325C2211yescharacteristic
374#2325C2211yescharacteristic
375#2325C2211yescharacteristic
376#2324C2212yes—
377C4×C22⋊Q8C2211yescharacteristic
378C2×#387C2211yescharacteristic
379#562—44no—
380#559—44no—
381#544—44no—
382#542—48no—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×#127C2311yescharacteristic
387C2×#127C2312yes—
388#529—44no—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#125C2311yescharacteristic
393C2×#125C2312yes—
394C2×#125C2311yescharacteristic
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#124C2312yes—
399C2×#124C2311yescharacteristic
400C2×#124C2311yescharacteristic
401C2×#124C2312yes—
402C2×#124C2312yes—
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2311yescharacteristic
427C2×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×#121C2312yes—
436C2×#121C2311yescharacteristic
437C2×#121C2311yescharacteristic
438C2×#121C2311yescharacteristic
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2311yescharacteristic
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C2×#117C2312yes—
473C2×#117C2312yes—
474C22×C4⋊C4C2312yes—
475C22×C4⋊C4C2311yescharacteristic
476C22×C4⋊C4C2311yescharacteristic
477C22×C4⋊C4C2312yes—
478C22×C42C2311yescharacteristic
479#401C2312yes—
480#401C2312yes—
481#401C2312yes—
482#401C2312yes—
483#401C2312yes—
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#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#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
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#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#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#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#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#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#394C2312yes—
697#394C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#393C2312yes—
706#393C2312yes—
707#393C2312yes—
708#393C2312yes—
709#392C2312yes—
710#392C2312yes—
711#392C2312yes—
712#392C2312yes—
713#392C2312yes—
714#392C2312yes—
715#392C2312yes—
716#392C2312yes—
717#392C2312yes—
718#392C2312yes—
719#392C2312yes—
720#392C2312yes—
721#392C2312yes—
722#392C2312yes—
723#392C2312yes—
724#392C2312yes—
725#392C2312yes—
726#392C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2311yescharacteristic
735#391C2311yescharacteristic
736#391C2311yescharacteristic
737#391C2311yescharacteristic
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#390C2312yes—
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
746#390C2312yes—
747#390C2312yes—
748#390C2311yescharacteristic
749#390C2312yes—
750#390C2312yes—
751#390C2311yescharacteristic
752#390C2311yescharacteristic
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
756#390C2312yes—
757#390C2312yes—
758#390C2312yes—
759#390C2312yes—
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2311yescharacteristic
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2311yescharacteristic
781#389C2311yescharacteristic
782#389C2311yescharacteristic
783#389C2311yescharacteristic
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#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#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
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#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
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#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
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#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#384C2312yes—
1021#384C2312yes—
1022#384C2311yescharacteristic
1023#384C2312yes—
1024#383C2312yes—
1025#383C2312yes—
1026#383C2312yes—
1027#383C2312yes—
1028#382C2312yes—
1029#382C2311yescharacteristic
1030#382C2312yes—
1031#382C2311yescharacteristic
1032#382C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2311yescharacteristic
1053#380C2311yescharacteristic
1054#380C2311yescharacteristic
1055#380C2311yescharacteristic
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⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊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—
1094#376C2312yes—
1095#376C2312yes—
1096#376C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2311yescharacteristic
1099C2×#95C2311yescharacteristic
1100C2×#95C2311yescharacteristic
1101C2×#95C2311yescharacteristic
1102C2×#95C2312yes—
1103C22×Q8C2411yescharacteristic
1104C22×Q8C2412yes—
1105C22×Q8C2412yes—
1106C22×Q8C2411yescharacteristic
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2411yescharacteristic
1109C22×D4C2412yes—
1110C22×D4C2412yes—
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2411yescharacteristic
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2411yescharacteristic
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2411yescharacteristic
1126C22×D4C2411yescharacteristic
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C23×C4C2411yescharacteristic
1130C23×C4C2412yes—
1131C23×C4C2411yescharacteristic
1132C23×C4C2412yes—
1133C23×C4C2411yescharacteristic
1134C23×C4C2411yescharacteristic
1135C23×C4C2411yescharacteristic
1136C23×C4C2412yes—
1137C23×C4C2411yescharacteristic
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2411yescharacteristic
1147C23×C4C2412yes—
1148C4⋊Q8—28no—
1149C4⋊Q8—44no—
1150C4⋊Q8—44no—
1151#127—42no—
1152#127—82no—
1153#126—44no—
1154#126—44no—
1155#126—44no—
1156#125—42no—
1157#125—44no—
1158#125—42no—
1159#125—44no—
1160#125—82no—
1161#125—82no—
1162#124—24no—
1163#124—28no—
1164#124—44no—
1165#124—44no—
1166#124—42no—
1167#124—44no—
1168#124—82no—
1169#124—82no—
1170#123—44no—
1171#123—44no—
1172#123—44no—
1173#123—44no—
1174#123—44no—
1175#123—44no—
1176#123—44no—
1177#123—44no—
1178#123—44no—
1179#123—44no—
1180#123—82no—
1181#123—82no—
1182#123—82no—
1183#123—82no—
1184#123—82no—
1185#123—82no—
1186C22⋊Q8—24no—
1187C22⋊Q8—28no—
1188C22⋊Q8—44no—
1189C22⋊Q8—44no—
1190C22⋊Q8—44no—
1191C22⋊Q8—44no—
1192C22⋊Q8—42no—
1193C22⋊Q8—42no—
1194C22⋊Q8—42no—
1195C22⋊Q8—82no—
1196C22⋊Q8—82no—
1197C22⋊Q8—82no—
1198C22⋊Q8—82no—
1199#121—42no—
1200#121—44no—
1201#121—44no—
1202#121—44no—
1203#121—44no—
1204#121—44no—
1205#121—44no—
1206#121—44no—
1207#121—44no—
1208#121—44no—
1209#121—42no—
1210#121—42no—
1211#121—42no—
1212#121—82no—
1213#121—82no—
1214#121—82no—
1215#121—82no—
1216#121—82no—
1217#121—82no—
1218#121—82no—
1219C4×Q8—24no—
1220C4×Q8—42no—
1221C4×Q8—44no—
1222C4×Q8—82no—
1223C4×Q8—82no—
1224C4×D4—44no—
1225C4×D4—44no—
1226C4×D4—42no—
1227C4×D4—44no—
1228C4×D4—44no—
1229C4×D4—44no—
1230C4×D4—82no—
1231C4×D4—82no—
1232C4×D4—82no—
1233#117—44no—
1234#117—44no—
1235#117—44no—
1236#117—82no—
1237#117—82no—
1238C2×C4⋊C4—44no—
1239C2×C4⋊C4—42no—
1240C2×C4⋊C4—42no—
1241C2×C4⋊C4—82no—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2411yescharacteristic
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2411yescharacteristic
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2411yescharacteristic
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2411yescharacteristic
1294C2×C4⋊C4C2411yescharacteristic
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2411yescharacteristic
1308C2×C4⋊C4C2411yescharacteristic
1309C2×C4⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2411yescharacteristic
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2411yescharacteristic
1325C2×C4⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2411yescharacteristic
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×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×C42—42no—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2411yescharacteristic
1421C2×C42C2411yescharacteristic
1422C2×C42C2412yes—
1423C2×C42C2411yescharacteristic
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2411yescharacteristic
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
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—
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—
1541C24C2512yes—
1542C24C2512yes—
1543C24C2512yes—
1544C24C2512yes—
1545C24C2511yescharacteristic
1546C2×Q8—24no—
1547C2×Q8—22no—
1548C2×Q8—41no—
1549C2×Q8—41no—
1550C2×Q8—42no—
1551C2×Q8—41no—
1552C2×Q8—42no—
1553C2×Q8—41no—
1554C2×Q8—42no—
1555C2×Q8—42no—
1556C2×Q8—42no—
1557C2×Q8—41no—
1558C2×Q8—41no—
1559C2×Q8—41no—
1560C2×Q8—41no—
1561C2×Q8—41no—
1562C2×Q8—41no—
1563C2×Q8H(5,𝔽2)14yes—
1564C2×D4—24no—
1565C2×D4—24no—
1566C2×D4—24no—
1567C2×D4—24no—
1568C2×D4—22no—
1569C2×D4—24no—
1570C2×D4—24no—
1571C2×D4—42no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C2×D4—42no—
1575C2×D4—42no—
1576C2×D4—42no—
1577C2×D4—42no—
1578C2×D4—42no—
1579C2×D4—42no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C2×D4—42no—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—41no—
1587C2×D4—41no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—41no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—41no—
1602C2×D4—41no—
1603C2×D4—41no—
1604C2×D4—42no—
1605C2×D4—41no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—41no—
1613C2×D4—41no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—42no—
1620C2×D4—41no—
1621C2×D4—41no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C22×C4—22no—
1625C22×C4—22no—
1626C22×C4—22no—
1627C22×C4—22no—
1628C22×C4—24no—
1629C22×C4—24no—
1630C22×C4—22no—
1631C22×C4—41no—
1632C22×C4—41no—
1633C22×C4—41no—
1634C22×C4—41no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—42no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—41no—
1645C22×C4—41no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—41no—
1650C22×C4—41no—
1651C22×C4—42no—
1652C22×C4—41no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—41no—
1657C22×C4—41no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—41no—
1665C22×C4—41no—
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—41no—
1675C22×C4—41no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—41no—
1680C22×C4—42no—
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2511yescharacteristic
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2511yescharacteristic
1696C22×C4C2512yes—
1697C22×C4C2511yescharacteristic
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2511yescharacteristic
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2511yescharacteristic
1709C22×C4C2512yes—
1710C22×C4C2511yescharacteristic
1711C4⋊C4—24no—
1712C4⋊C4—24no—
1713C4⋊C4—24no—
1714C4⋊C4—24no—
1715C4⋊C4—22no—
1716C4⋊C4—22no—
1717C4⋊C4—24no—
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—24no—
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—22no—
1725C4⋊C4—24no—
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—42no—
1736C4⋊C4—42no—
1737C4⋊C4—41no—
1738C4⋊C4—42no—
1739C4⋊C4—41no—
1740C4⋊C4—41no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—41no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—41no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—41no—
1766C4⋊C4—41no—
1767C4⋊C4—42no—
1768C4⋊C4—41no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—41no—
1774C4⋊C4—42no—
1775C4⋊C4—41no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—41no—
1787C4⋊C4—41no—
1788C4⋊C4—41no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—24no—
1803C22⋊C4—24no—
1804C22⋊C4—24no—
1805C22⋊C4—24no—
1806C22⋊C4—24no—
1807C22⋊C4—24no—
1808C22⋊C4—24no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
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—
1885C42—22no—
1886C42—22no—
1887C42—24no—
1888C42—24no—
1889C42—24no—
1890C42—41no—
1891C42—41no—
1892C42—42no—
1893C42—42no—
1894C42—42no—
1895C42—42no—
1896C42—42no—
1897C42—42no—
1898C42—42no—
1899C42—42no—
1900C42—42no—
1901C42—42no—
1902C42—42no—
1903C42—42no—
1904C42—42no—
1905C42—42no—
1906C42—42no—
1907C42—42no—
1908C42—42no—
1909C23—21no—
1910C23—21no—
1911C23—21no—
1912C23—21no—
1913C23—21no—
1914C23—21no—
1915C23—22no—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—22no—
1920C23—22no—
1921C23—22no—
1922C23—22no—
1923C23—22no—
1924C23—22no—
1925C23—22no—
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#58512yes—
1944C23C2611yescharacteristic
1945Q8—44no—
1946Q8—84no—
1947Q8—82no—
1948Q8—84no—
1949Q8—161no—
1950Q8—161no—
1951D4—84no—
1952D4—82no—
1953D4—84no—
1954D4—84no—
1955D4—84no—
1956D4—84no—
1957D4—84no—
1958D4—84no—
1959D4—84no—
1960D4—162no—
1961D4—162no—
1962D4—162no—
1963D4—162no—
1964D4—162no—
1965D4—162no—
1966D4—161no—
1967D4—162no—
1968D4—161no—
1969D4—161no—
1970D4—162no—
1971C2×C4—21no—
1972C2×C4—22no—
1973C2×C4—21no—
1974C2×C4—21no—
1975C2×C4—22no—
1976C2×C4—21no—
1977C2×C4—22no—
1978C2×C4—21no—
1979C2×C4—21no—
1980C2×C4—22no—
1981C2×C4—21no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—21no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—21no—
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—21no—
2013C2×C4—21no—
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—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—21no—
2033C2×C4—21no—
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—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—21no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—21no—
2057C2×C4—21no—
2058C2×C4—44no—
2059C2×C4—82no—
2060C2×C4—84no—
2061C2×C4—84no—
2062C2×C4—82no—
2063C2×C4—82no—
2064C2×C4—82no—
2065C2×C4—84no—
2066C2×C4—84no—
2067C2×C4—84no—
2068C2×C4—84no—
2069C2×C4—161no—
2070C2×C4—162no—
2071C2×C4—161no—
2072C2×C4—162no—
2073C2×C4—162no—
2074C2×C4—162no—
2075C2×C4—162no—
2076C2×C4—162no—
2077C2×C4C2×H(5,𝔽2)12yes—
2078C2×C4C2×H(5,𝔽2)14yes—
2079C2×C4#58512yes—
2080C22—22no—
2081C22—22no—
2082C22—22no—
2083C22—41no—
2084C22—41no—
2085C22—41no—
2086C22—41no—
2087C22—42no—
2088C22—42no—
2089C22—42no—
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
2116C22C2×#58511yescharacteristic
2117C22C2×#58511yescharacteristic
2118C22H(7,𝔽2)11yescharacteristic
2119C22H(7,𝔽2)11yescharacteristic
2120C222−1+611yescharacteristic
2121C222−1+611yescharacteristic
2122C4—22no—
2123C4—24no—
2124C4—22no—
2125C4—42no—
2126C4—42no—
2127C4—42no—
2128C4—42no—
2129C4—42no—
2130C4—42no—
2131C4—41no—
2132C4—42no—
2133C4—42no—
2134C4—42no—
2135C4—42no—
2136C4—42no—
2137C4—42no—
2138C4—42no—
2139C4—42no—
2140C4—42no—
2141C4—42no—
2142C4—41no—
2143C4—42no—
2144C4—42no—
2145C4—42no—
2146C4—41no—
2147C4—41no—
2148C4—42no—
2149C4—42no—
2150C4—42no—
2151C4—42no—
2152C2—42no—
2153C2—82no—
2154C2—82no—
2155C2—82no—
2156C2—82no—
2157C2#6286611yescharacteristic
2158C2#6287011yescharacteristic
2159C2#6289911yescharacteristic
2160C2#6291911yescharacteristic
2161C2#6296411yescharacteristic
2162C2#6297711yescharacteristic
2163C2#6306511yescharacteristic
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. #58739C2semidirect
2. #58295C2semidirect
3. #57252C2semidirect
4. #56976C2semidirect
5. #56847C2semidirect
6. #56358C2semidirect
7. #55740C2semidirect
8. #55473C2semidirect
9. #55470C2semidirect
10. #54235C2semidirect
11. #53638C2semidirect
12. #53562C2semidirect
13. #53190C2semidirect
14. #52657C2semidirect
15. #51907C2semidirect
16. #51873C2semidirect
17. #51503C2semidirect
18. #50736C2semidirect
19. #49580C2semidirect
20. #47798C2semidirect
21. #46930C2semidirect
22. #45972C2semidirect
23. #44778C2semidirect
24. #43792C2semidirect
25. #43779C2semidirect
26. #42848C2semidirect
27. #42254C2semidirect
28. #41858C2semidirect
29. #41827C2semidirect
30. #41500C2semidirect
31. #39798C2semidirect
32. #39137C2semidirect
33. #37755C2semidirect
34. #37212C2semidirect
35. #36761C2semidirect

Maximal subgroups

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

subgroupindex
#587392
#582952
#572522
#569762
#568472
#563582
#557402
#554732
#554702
#542352
#536382
#535622
#531902
#526572
#519072
#518732
#515032
#507362
#495802
#477982
#469302
#459722
#447782
#437922
#437792
#428482
#422542
#418582
#418272
#415002
#397982
#391372
#377552
#372122
#367612