Finite Group Databasebeta

← #9435238

Subgroups — #9435238

Order 512.

4397 conjugacy classes of subgroups.

The subgroup lattice has 2179 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58358C212yesmaximal, complemented
2#58250C212yesmaximal, complemented
3#55591C212yesmaximal, complemented
4#54784C212yesmaximal, complemented
5#54480C212yesmaximal, complemented
6#54164C212yesmaximal, complemented
7#54042C212yesmaximal, complemented
8#53995C212yesmaximal, complemented
9#53791C212yesmaximal, complemented
10#53562C212yesmaximal, complemented
11#53470C212yesmaximal, complemented
12#53437C212yesmaximal, complemented
13#53209C211yesmaximal, characteristic, complemented
14#53191C212yesmaximal, complemented
15#49490C212yesmaximal, complemented
16#48782C212yesmaximal, complemented
17#48712C212yesmaximal, complemented
18#48459C212yesmaximal, complemented
19#48269C212yesmaximal, complemented
20#47868C212yesmaximal, complemented
21#47438C212yesmaximal, complemented
22#46725C212yesmaximal, complemented
23#46446C212yesmaximal, complemented
24#46306C212yesmaximal, complemented
25#46133C211yesmaximal, characteristic, complemented
26#40361C212yesmaximal, complemented
27#39671C211yesmaximal, characteristic, complemented
28#39658C212yesmaximal, complemented
29#39409C212yesmaximal, complemented
30#39136C211yesmaximal, characteristic, complemented
31#37771C211yesmaximal, characteristic, complemented
32#37217C211yesmaximal, characteristic, complemented
33#36936C212yesmaximal, complemented
34#36900C212yesmaximal, complemented
35#36763C211yesmaximal, characteristic, complemented
36C2×#562C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#539C2211yescharacteristic
39C2×#539C2212yes—
40C2×#529C2211yescharacteristic
41#2857C2212yes—
42#2857C2211yescharacteristic
43#2854C2212yes—
44#2854C2211yescharacteristic
45#2853C2212yes—
46#2851C2211yescharacteristic
47#2850C2211yescharacteristic
48#2850C2212yes—
49#2841C2212yes—
50#2838C2212yes—
51#2837C2212yes—
52#2837C2212yes—
53#2837C2212yes—
54#2836C2212yes—
55#2829C2212yes—
56#2829C2212yes—
57#2827C2212yes—
58#2826C2212yes—
59#2822C2211yescharacteristic
60#2820C2212yes—
61#2820C2211yescharacteristic
62#2816C2212yes—
63#2813C2212yes—
64#2810C2211yescharacteristic
65#2807C2212yes—
66#2807C2212yes—
67#2806C2212yes—
68#2805C2212yes—
69#2805C2211yescharacteristic
70#2802C2212yes—
71#2802C2212yes—
72#2802C2212yes—
73#2801C2212yes—
74#2800C2212yes—
75#2799C2212yes—
76#2797C2212yes—
77#2796C2212yes—
78#2795C2212yes—
79#2794C2212yes—
80#2792C2212yes—
81#2791C2212yes—
82#2791C2212yes—
83#2790C2212yes—
84#2790C2212yes—
85#2790C2212yes—
86#2790C2212yes—
87#2788C2212yes—
88#2788C2212yes—
89#2784C2212yes—
90#2783C2212yes—
91#2778C2212yes—
92#2776C2212yes—
93#2773C2212yes—
94#2772C2212yes—
95#2772C2212yes—
96#2772C2212yes—
97#2767C2212yes—
98#2765C2212yes—
99#2756C2212yes—
100#2752C2212yes—
101#2751C2212yes—
102#2751C2212yes—
103#2748C2212yes—
104#2748C2212yes—
105#2747C2212yes—
106#2743C2212yes—
107#2743C2212yes—
108#2742C2212yes—
109#2741C2212yes—
110#2740C2212yes—
111#2739C2212yes—
112#2738C2212yes—
113#2738C2212yes—
114#2733C2211yescharacteristic
115#2732C2212yes—
116#2732C2212yes—
117#2731C2212yes—
118#2730C2212yes—
119#2730C2212yes—
120#2730C2212yes—
121#2729C2212yes—
122#2728C2212yes—
123#2728C2212yes—
124#2728C2212yes—
125#2727C2212yes—
126#2727C2212yes—
127#2727C2211yescharacteristic
128#2726C2211yescharacteristic
129#2725C2212yes—
130#2721C2212yes—
131#2721C2212yes—
132#2721C2212yes—
133#2721C2212yes—
134#2720C2212yes—
135#2720C2212yes—
136#2720C2212yes—
137#2718C2212yes—
138#2718C2212yes—
139#2718C2212yes—
140#2717C2212yes—
141#2716C2212yes—
142#2716C2212yes—
143#2715C2212yes—
144#2714C2212yes—
145#2711C2212yes—
146#2710C2212yes—
147#2710C2212yes—
148#2708C2212yes—
149#2707C2212yes—
150#2707C2212yes—
151#2707C2212yes—
152#2705C2212yes—
153#2705C2212yes—
154#2705C2212yes—
155#2705C2212yes—
156#2705C2212yes—
157#2705C2212yes—
158#2704C2212yes—
159#2704C2212yes—
160#2703C2212yes—
161#2703C2212yes—
162#2702C2212yes—
163#2701C2212yes—
164#2701C2212yes—
165#2701C2212yes—
166#2700C2212yes—
167#2700C2212yes—
168#2699C2212yes—
169#2699C2212yes—
170#2698C2212yes—
171#2696C2212yes—
172#2696C2212yes—
173#2696C2212yes—
174#2695C2212yes—
175#2695C2212yes—
176#2694C2212yes—
177#2694C2212yes—
178#2693C2212yes—
179#2693C2212yes—
180#2693C2212yes—
181#2692C2212yes—
182#2692C2212yes—
183#2691C2212yes—
184#2691C2212yes—
185#2688C2212yes—
186#2687C2212yes—
187#2686C2212yes—
188#2686C2212yes—
189#2683C2212yes—
190#2683C2211yescharacteristic
191#2682C2212yes—
192#2682C2211yescharacteristic
193#2682C2211yescharacteristic
194#2682C2212yes—
195#2681C2212yes—
196#2681C2212yes—
197#2680C2212yes—
198#2676C2212yes—
199#2676C2212yes—
200#2675C2212yes—
201#2674C2212yes—
202#2674C2212yes—
203#2673C2212yes—
204#2673C2212yes—
205#2673C2212yes—
206#2672C2212yes—
207#2672C2212yes—
208#2672C2212yes—
209#2671C2212yes—
210#2671C2212yes—
211#2671C2212yes—
212#2671C2212yes—
213#2671C2212yes—
214#2671C2212yes—
215#2671C2212yes—
216#2667C2212yes—
217#2667C2212yes—
218#2667C2212yes—
219#2661C2212yes—
220#2659C2211yescharacteristic
221#2656C2211yescharacteristic
222#2655C2212yes—
223#2652C2212yes—
224#2651C2212yes—
225#2650C2212yes—
226#2649C2212yes—
227#2646C2211yescharacteristic
228#2635C2212yes—
229#2635C2212yes—
230#2633C2212yes—
231#2630C2212yes—
232#2630C2212yes—
233#2627C2211yescharacteristic
234#2624C2212yes—
235#2620C2212yes—
236#2620C2212yes—
237#2618C2211yescharacteristic
238#2618C2212yes—
239#2618C2211yescharacteristic
240#2602C2212yes—
241#2602C2212yes—
242#2601C2212yes—
243#2597C2212yes—
244#2597C2212yes—
245#2593C2212yes—
246#2589C2212yes—
247#2589C2212yes—
248#2588C2212yes—
249#2588C2212yes—
250#2586C2212yes—
251#2585C2212yes—
252#2579C2212yes—
253#2579C2212yes—
254#2576C2212yes—
255#2575C2212yes—
256#2574C2212yes—
257#2573C2212yes—
258#2569C2212yes—
259#2559C2212yes—
260#2559C2212yes—
261#2558C2212yes—
262#2557C2212yes—
263#2557C2212yes—
264#2556C2212yes—
265#2556C2212yes—
266#2555C2212yes—
267#2555C2212yes—
268#2552C2212yes—
269#2543C2212yes—
270#2542C2211yescharacteristic
271#2540C2212yes—
272#2540C2212yes—
273#2538C2212yes—
274#2538C2212yes—
275#2538C2212yes—
276#2537C2211yescharacteristic
277#2522C2212yes—
278#2522C2212yes—
279#2516C2212yes—
280#2516C2212yes—
281#2516C2212yes—
282#2515C2212yes—
283#2512C2212yes—
284#2507C2212yes—
285#2506C2212yes—
286#2506C2212yes—
287#2501C2212yes—
288#2499C2212yes—
289#2497C2212yes—
290#2497C2212yes—
291#2497C2212yes—
292#2496C2212yes—
293#2488C2212yes—
294#2488C2212yes—
295#2487C2212yes—
296#2484C2212yes—
297#2481C2212yes—
298#2481C2212yes—
299#2479C2212yes—
300#2479C2212yes—
301#2477C2212yes—
302#2476C2212yes—
303#2473C2212yes—
304#2471C2212yes—
305#2471C2212yes—
306#2470C2212yes—
307#2468C2212yes—
308#2468C2212yes—
309#2467C2212yes—
310#2464C2212yes—
311#2464C2212yes—
312#2461C2212yes—
313#2460C2212yes—
314#2460C2212yes—
315#2460C2212yes—
316#2459C2212yes—
317#2459C2212yes—
318#2459C2212yes—
319#2458C2212yes—
320#2458C2212yes—
321#2457C2212yes—
322#2457C2212yes—
323#2456C2212yes—
324#2455C2212yes—
325#2453C2212yes—
326#2453C2212yes—
327#2451C2212yes—
328#2450C2212yes—
329#2450C2212yes—
330#2450C2212yes—
331#2449C2212yes—
332#2445C2212yes—
333#2444C2212yes—
334#2441C2212yes—
335#2441C2212yes—
336#2440C2212yes—
337#2438C2212yes—
338#2428C2212yes—
339#2428C2212yes—
340#2427C2212yes—
341#2426C2212yes—
342#2425C2212yes—
343#2425C2212yes—
344#2425C2212yes—
345#2423C2212yes—
346#2423C2212yes—
347#2422C2212yes—
348#2422C2212yes—
349#2422C2212yes—
350#2419C2212yes—
351#2416C2212yes—
352#2416C2212yes—
353#2414C2212yes—
354#2413C2212yes—
355#2379C2211yescharacteristic
356#2378C2212yes—
357#2377C2212yes—
358#2366C2212yes—
359#2364C2212yes—
360#2360C2212yes—
361Q8×C4⋊C4C2211yescharacteristic
362D4×C4⋊C4C2212yes—
363#2335C2212yes—
364#2335C2212yes—
365#2335C2212yes—
366#2332C2212yes—
367#2329C2211yescharacteristic
368#2329C2212yes—
369#2329C2211yescharacteristic
370#2325C2211yescharacteristic
371#2325C2211yescharacteristic
372#2325C2211yescharacteristic
373#2323C2212yes—
374C4×C22⋊Q8C2212yes—
375C4×#123C2212yes—
376C4×#121C2212yes—
377C4×#121C2211yescharacteristic
378C2×#387C2211yescharacteristic
379#562—44no—
380#556—44no—
381#539—44no—
382#539—48no—
383C2×C4⋊Q8C2311yescharacteristic
384C2×C4⋊Q8C2312yes—
385C2×#127C2312yes—
386#529—44no—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#125C2311yescharacteristic
395C2×#125C2311yescharacteristic
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#124C2311yescharacteristic
402C2×#124C2311yescharacteristic
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#124C2312yes—
407C2×#124C2312yes—
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×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2311yescharacteristic
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×#121C2311yescharacteristic
443C2×#121C2311yescharacteristic
444C2×#121C2311yescharacteristic
445C2×#121C2311yescharacteristic
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×#117C2312yes—
480C2×#117C2312yes—
481C2×#117C2312yes—
482C22×C4⋊C4C2311yescharacteristic
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2311yescharacteristic
485C22×C4⋊C4C2312yes—
486C22×C42C2311yescharacteristic
487C22×C42C2312yes—
488#401C2312yes—
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#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
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#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#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#395C2312yes—
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#394C2312yes—
699#394C2312yes—
700#394C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#393C2312yes—
706#393C2312yes—
707#393C2312yes—
708#393C2312yes—
709#393C2312yes—
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#392C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#391C2311yescharacteristic
742#391C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
746#390C2312yes—
747#390C2312yes—
748#390C2312yes—
749#390C2312yes—
750#390C2311yescharacteristic
751#390C2312yes—
752#390C2312yes—
753#390C2311yescharacteristic
754#390C2311yescharacteristic
755#390C2312yes—
756#390C2312yes—
757#390C2311yescharacteristic
758#390C2312yes—
759#390C2312yes—
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#390C2312yes—
765#390C2312yes—
766#390C2312yes—
767#390C2312yes—
768#389C2312yes—
769#389C2311yescharacteristic
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2311yescharacteristic
788#389C2311yescharacteristic
789#389C2312yes—
790#389C2311yescharacteristic
791#389C2311yescharacteristic
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2311yescharacteristic
796#389C2311yescharacteristic
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
811#389C2312yes—
812#389C2312yes—
813#389C2312yes—
814#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#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#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#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#386C2312yes—
982#386C2312yes—
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#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#384C2311yescharacteristic
1024#384C2312yes—
1025#384C2312yes—
1026#384C2312yes—
1027#384C2312yes—
1028#384C2312yes—
1029#384C2312yes—
1030#384C2312yes—
1031#383C2312yes—
1032#382C2311yescharacteristic
1033#382C2312yes—
1034#382C2311yescharacteristic
1035#382C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2311yescharacteristic
1051#380C2311yescharacteristic
1052#380C2311yescharacteristic
1053#380C2312yes—
1054#380C2311yescharacteristic
1055#380C2311yescharacteristic
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2311yescharacteristic
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070#380C2312yes—
1071#380C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2311yescharacteristic
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊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—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2311yescharacteristic
1100C2×#95C2311yescharacteristic
1101C2×#95C2311yescharacteristic
1102C2×#95C2311yescharacteristic
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2411yescharacteristic
1106C22×Q8C2412yes—
1107C22×Q8C2411yescharacteristic
1108C22×D4C2412yes—
1109C22×D4C2411yescharacteristic
1110C22×D4C2412yes—
1111C22×D4C2412yes—
1112C22×D4C2411yescharacteristic
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2411yescharacteristic
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2411yescharacteristic
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C23×C4C2411yescharacteristic
1129C23×C4C2412yes—
1130C23×C4C2411yescharacteristic
1131C23×C4C2412yes—
1132C23×C4C2411yescharacteristic
1133C23×C4C2411yescharacteristic
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2411yescharacteristic
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2411yescharacteristic
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2411yescharacteristic
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C4⋊Q8—42no—
1148C4⋊Q8—82no—
1149#127—44no—
1150#126—44no—
1151#126—44no—
1152#126—44no—
1153#126—44no—
1154#126—44no—
1155#126—44no—
1156#126—82no—
1157#125—42no—
1158#125—42no—
1159#125—44no—
1160#125—44no—
1161#125—44no—
1162#125—82no—
1163#125—82no—
1164#124—24no—
1165#124—44no—
1166#124—42no—
1167#124—82no—
1168#124—82no—
1169#124—82no—
1170#124—82no—
1171#123—28no—
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—44no—
1181#123—44no—
1182#123—82no—
1183#123—82no—
1184#123—82no—
1185#123—82no—
1186#123—82no—
1187#123—82no—
1188#123—82no—
1189C22⋊Q8—24no—
1190C22⋊Q8—28no—
1191C22⋊Q8—28no—
1192C22⋊Q8—28no—
1193C22⋊Q8—28no—
1194C22⋊Q8—42no—
1195C22⋊Q8—44no—
1196C22⋊Q8—82no—
1197C22⋊Q8—82no—
1198C22⋊Q8—82no—
1199C22⋊Q8—82no—
1200C22⋊Q8—82no—
1201C22⋊Q8—82no—
1202C22⋊Q8—82no—
1203C22⋊Q8—82no—
1204C22⋊Q8—82no—
1205#121—24no—
1206#121—44no—
1207#121—42no—
1208#121—44no—
1209#121—44no—
1210#121—44no—
1211#121—44no—
1212#121—42no—
1213#121—44no—
1214#121—42no—
1215#121—82no—
1216#121—82no—
1217#121—82no—
1218#121—82no—
1219#121—82no—
1220#121—82no—
1221#121—82no—
1222#121—82no—
1223#121—82no—
1224#121—82no—
1225#121—82no—
1226#121—82no—
1227C4×Q8—24no—
1228C4×Q8—44no—
1229C4×Q8—82no—
1230C4×D4—44no—
1231C4×D4—42no—
1232C4×D4—42no—
1233C4×D4—44no—
1234C4×D4—44no—
1235C4×D4—44no—
1236C4×D4—44no—
1237C4×D4—82no—
1238C4×D4—82no—
1239C4×D4—82no—
1240C4×D4—82no—
1241C4×D4—82no—
1242#117—44no—
1243#117—44no—
1244#117—82no—
1245C2×C4⋊C4—42no—
1246C2×C4⋊C4—44no—
1247C2×C4⋊C4—42no—
1248C2×C4⋊C4—82no—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2411yescharacteristic
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2411yescharacteristic
1319C2×C4⋊C4C2411yescharacteristic
1320C2×C4⋊C4C2411yescharacteristic
1321C2×C4⋊C4C2411yescharacteristic
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2411yescharacteristic
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2411yescharacteristic
1343C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C42—42no—
1433C2×C42—82no—
1434C2×C42C2412yes—
1435C2×C42C2411yescharacteristic
1436C2×C42C2411yescharacteristic
1437C2×C42C2411yescharacteristic
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451C2×C42C2412yes—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2411yescharacteristic
1455C2×C42C2412yes—
1456C2×C42C2412yes—
1457C2×C42C2412yes—
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—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550C24C2512yes—
1551C24C2512yes—
1552C24C2512yes—
1553C24C2512yes—
1554C24C2511yescharacteristic
1555C2×Q8—24no—
1556C2×Q8—41no—
1557C2×Q8—41no—
1558C2×Q8—42no—
1559C2×Q8—42no—
1560C2×Q8—41no—
1561C2×Q8—41no—
1562C2×Q8—42no—
1563C2×Q8—42no—
1564C2×Q8—42no—
1565C2×Q8—42no—
1566C2×Q8—42no—
1567C2×Q8—41no—
1568C2×Q8—42no—
1569C2×Q8H(5,𝔽2)14yes—
1570C2×D4—24no—
1571C2×D4—24no—
1572C2×D4—24no—
1573C2×D4—24no—
1574C2×D4—22no—
1575C2×D4—24no—
1576C2×D4—22no—
1577C2×D4—24no—
1578C2×D4—42no—
1579C2×D4—42no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C2×D4—42no—
1583C2×D4—41no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—41no—
1589C2×D4—41no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—41no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—41no—
1603C2×D4—41no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—41no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—41no—
1612C2×D4—41no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—42no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C2×D4—42no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—41no—
1630C22×C4—22no—
1631C22×C4—22no—
1632C22×C4—22no—
1633C22×C4—22no—
1634C22×C4—24no—
1635C22×C4—24no—
1636C22×C4—24no—
1637C22×C4—22no—
1638C22×C4—24no—
1639C22×C4—24no—
1640C22×C4—41no—
1641C22×C4—41no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—41no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—41no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—41no—
1660C22×C4—42no—
1661C22×C4—41no—
1662C22×C4—41no—
1663C22×C4—41no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—41no—
1668C22×C4—41no—
1669C22×C4—41no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—41no—
1673C22×C4—41no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—41no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—41no—
1683C22×C4—42no—
1684C22×C4—41no—
1685C22×C4—42no—
1686C22×C4—42no—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2511yescharacteristic
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2511yescharacteristic
1701C22×C4C2512yes—
1702C22×C4C2511yescharacteristic
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2512yes—
1711C22×C4C2512yes—
1712C22×C4C2511yescharacteristic
1713C22×C4C2511yescharacteristic
1714C22×C4C2512yes—
1715C22×C4C2511yescharacteristic
1716C22×C4C2512yes—
1717C4⋊C4—24no—
1718C4⋊C4—24no—
1719C4⋊C4—22no—
1720C4⋊C4—24no—
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—22no—
1725C4⋊C4—24no—
1726C4⋊C4—24no—
1727C4⋊C4—24no—
1728C4⋊C4—24no—
1729C4⋊C4—24no—
1730C4⋊C4—24no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—41no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—41no—
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—41no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—41no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—41no—
1775C4⋊C4—42no—
1776C4⋊C4—41no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—41no—
1782C4⋊C4—41no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—41no—
1795C4⋊C4—41no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—41no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—41no—
1808C4⋊C4—41no—
1809C4⋊C4—41no—
1810C4⋊C4—41no—
1811C4⋊C42−1+414yes—
1812C22⋊C4—24no—
1813C22⋊C4—24no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—24no—
1825C22⋊C4—24no—
1826C22⋊C4—24no—
1827C22⋊C4—24no—
1828C22⋊C4—24no—
1829C22⋊C4—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—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—42no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C42—22no—
1901C42—22no—
1902C42—24no—
1903C42—41no—
1904C42—41no—
1905C42—42no—
1906C42—42no—
1907C42—42no—
1908C42—42no—
1909C42—42no—
1910C42—42no—
1911C42—42no—
1912C42—42no—
1913C42—42no—
1914C42—42no—
1915C42—42no—
1916C42—42no—
1917C42—42no—
1918C42—42no—
1919C42—42no—
1920C42—42no—
1921C42—42no—
1922C42—42no—
1923C42—42no—
1924C23—21no—
1925C23—21no—
1926C23—21no—
1927C23—21no—
1928C23—21no—
1929C23—21no—
1930C23—22no—
1931C23—22no—
1932C23—22no—
1933C23—22no—
1934C23—22no—
1935C23—22no—
1936C23—22no—
1937C23—22no—
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—22no—
1943C23—22no—
1944C23—22no—
1945C23—22no—
1946C23—22no—
1947C23—22no—
1948C23—22no—
1949C23—22no—
1950C23—22no—
1951C23—22no—
1952C23—22no—
1953C23—22no—
1954C23—22no—
1955C23—22no—
1956C23—22no—
1957C23—22no—
1958C23#58512yes—
1959C23C2611yescharacteristic
1960Q8—44no—
1961Q8—84no—
1962Q8—162no—
1963Q8—162no—
1964Q8—161no—
1965D4—48no—
1966D4—82no—
1967D4—82no—
1968D4—84no—
1969D4—84no—
1970D4—84no—
1971D4—84no—
1972D4—84no—
1973D4—84no—
1974D4—84no—
1975D4—162no—
1976D4—162no—
1977D4—162no—
1978D4—162no—
1979D4—161no—
1980D4—162no—
1981D4—162no—
1982D4—162no—
1983D4—162no—
1984D4—161no—
1985C2×C4—21no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—21no—
1990C2×C4—21no—
1991C2×C4—22no—
1992C2×C4—21no—
1993C2×C4—22no—
1994C2×C4—21no—
1995C2×C4—21no—
1996C2×C4—21no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—21no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—21no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—21no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—21no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—21no—
2046C2×C4—21no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—21no—
2055C2×C4—21no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—21no—
2071C2×C4—82no—
2072C2×C4—84no—
2073C2×C4—84no—
2074C2×C4—84no—
2075C2×C4—82no—
2076C2×C4—84no—
2077C2×C4—84no—
2078C2×C4—82no—
2079C2×C4—82no—
2080C2×C4—82no—
2081C2×C4—84no—
2082C2×C4—84no—
2083C2×C4—84no—
2084C2×C4—161no—
2085C2×C4—162no—
2086C2×C4—161no—
2087C2×C4—162no—
2088C2×C4—162no—
2089C2×C4—162no—
2090C2×C4C2×H(5,𝔽2)12yes—
2091C2×C4C2×H(5,𝔽2)14yes—
2092C2×C4C2×2−1+414yes—
2093C2×C4C2×2−1+412yes—
2094C22—22no—
2095C22—22no—
2096C22—22no—
2097C22—41no—
2098C22—41no—
2099C22—41no—
2100C22—41no—
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—
2115C22—42no—
2116C22—42no—
2117C22—42no—
2118C22—42no—
2119C22—42no—
2120C22—42no—
2121C22—42no—
2122C22—42no—
2123C22—42no—
2124C22—42no—
2125C22—42no—
2126C22—42no—
2127C22—42no—
2128C22—42no—
2129C22C22×H(5,𝔽2)11yescharacteristic
2130C22C22×2−1+411yescharacteristic
2131C22C2×#58511yescharacteristic
2132C22H(7,𝔽2)11yescharacteristic
2133C22H(7,𝔽2)11yescharacteristic
2134C22H(7,𝔽2)11yescharacteristic
2135C222−1+611yescharacteristic
2136C4—22no—
2137C4—24no—
2138C4—22no—
2139C4—24no—
2140C4—42no—
2141C4—42no—
2142C4—42no—
2143C4—42no—
2144C4—42no—
2145C4—42no—
2146C4—42no—
2147C4—42no—
2148C4—42no—
2149C4—41no—
2150C4—42no—
2151C4—42no—
2152C4—42no—
2153C4—42no—
2154C4—41no—
2155C4—42no—
2156C4—42no—
2157C4—41no—
2158C4—42no—
2159C4—42no—
2160C4—42no—
2161C4—41no—
2162C4—42no—
2163C4—42no—
2164C4—42no—
2165C4—42no—
2166C2—42no—
2167C2—82no—
2168C2—82no—
2169C2—82no—
2170C2—82no—
2171C2#6286611yescharacteristic
2172C2#6287211yescharacteristic
2173C2#6289911yescharacteristic
2174C2#6291711yescharacteristic
2175C2#6294811yescharacteristic
2176C2#6297611yescharacteristic
2177C2#6306111yescharacteristic
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. #58358C2semidirect
2. #58250C2semidirect
3. #55591C2semidirect
4. #54784C2semidirect
5. #54480C2semidirect
6. #54164C2semidirect
7. #54042C2semidirect
8. #53995C2semidirect
9. #53791C2semidirect
10. #53562C2semidirect
11. #53470C2semidirect
12. #53437C2semidirect
13. #53209C2semidirect
14. #53191C2semidirect
15. #49490C2semidirect
16. #48782C2semidirect
17. #48712C2semidirect
18. #48459C2semidirect
19. #48269C2semidirect
20. #47868C2semidirect
21. #47438C2semidirect
22. #46725C2semidirect
23. #46446C2semidirect
24. #46306C2semidirect
25. #46133C2semidirect
26. #40361C2semidirect
27. #39671C2semidirect
28. #39658C2semidirect
29. #39409C2semidirect
30. #39136C2semidirect
31. #37771C2semidirect
32. #37217C2semidirect
33. #36936C2semidirect
34. #36900C2semidirect
35. #36763C2semidirect

Maximal subgroups

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

subgroupindex
#583582
#582502
#555912
#547842
#544802
#541642
#540422
#539952
#537912
#535622
#534702
#534372
#532092
#531912
#494902
#487822
#487122
#484592
#482692
#478682
#474382
#467252
#464462
#463062
#461332
#403612
#396712
#396582
#394092
#391362
#377712
#372172
#369362
#369002
#367632