Finite Group Databasebeta

← #9435204

Subgroups — #9435204

Order 512.

4385 conjugacy classes of subgroups.

The subgroup lattice has 2168 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58078C212yesmaximal, complemented
2#58076C212yesmaximal, complemented
3#57908C212yesmaximal, complemented
4#57769C212yesmaximal, complemented
5#57682C212yesmaximal, complemented
6#55286C212yesmaximal, complemented
7#54456C212yesmaximal, complemented
8#54236C212yesmaximal, complemented
9#54060C212yesmaximal, complemented
10#53741C212yesmaximal, complemented
11#53561C212yesmaximal, complemented
12#53466C212yesmaximal, complemented
13#53228C212yesmaximal, complemented
14#53190C211yesmaximal, characteristic, complemented
15#52009C212yesmaximal, complemented
16#49574C212yesmaximal, complemented
17#49108C212yesmaximal, complemented
18#48628C212yesmaximal, complemented
19#48325C212yesmaximal, complemented
20#48294C212yesmaximal, complemented
21#47502C212yesmaximal, complemented
22#46723C212yesmaximal, complemented
23#46622C212yesmaximal, complemented
24#45972C211yesmaximal, characteristic, complemented
25#45692C212yesmaximal, complemented
26#39799C211yesmaximal, characteristic, complemented
27#39388C212yesmaximal, complemented
28#38909C211yesmaximal, characteristic, complemented
29#38597C212yesmaximal, complemented
30#38573C212yesmaximal, complemented
31#37763C211yesmaximal, characteristic, complemented
32#37182C212yesmaximal, complemented
33#37168C211yesmaximal, characteristic, complemented
34#36823C212yesmaximal, complemented
35#36761C211yesmaximal, characteristic, complemented
36C2×#562C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#540C2212yes—
39C2×#539C2211yescharacteristic
40C2×#529C2211yescharacteristic
41#2856C2211yescharacteristic
42#2855C2211yescharacteristic
43#2853C2212yes—
44#2852C2212yes—
45#2852C2212yes—
46#2851C2211yescharacteristic
47#2850C2211yescharacteristic
48#2850C2212yes—
49#2845C2212yes—
50#2839C2212yes—
51#2838C2212yes—
52#2837C2212yes—
53#2836C2212yes—
54#2836C2212yes—
55#2835C2212yes—
56#2834C2212yes—
57#2833C2212yes—
58#2829C2212yes—
59#2827C2212yes—
60#2827C2212yes—
61#2827C2212yes—
62#2822C2211yescharacteristic
63#2820C2211yescharacteristic
64#2806C2211yescharacteristic
65#2805C2211yescharacteristic
66#2805C2211yescharacteristic
67#2804C2211yescharacteristic
68#2803C2212yes—
69#2802C2212yes—
70#2802C2212yes—
71#2800C2212yes—
72#2797C2212yes—
73#2791C2212yes—
74#2791C2212yes—
75#2790C2212yes—
76#2790C2212yes—
77#2790C2212yes—
78#2789C2212yes—
79#2788C2212yes—
80#2788C2212yes—
81#2787C2212yes—
82#2787C2212yes—
83#2787C2212yes—
84#2786C2212yes—
85#2786C2212yes—
86#2783C2212yes—
87#2781C2212yes—
88#2781C2212yes—
89#2780C2212yes—
90#2780C2212yes—
91#2780C2212yes—
92#2779C2212yes—
93#2778C2212yes—
94#2778C2212yes—
95#2778C2212yes—
96#2775C2212yes—
97#2775C2212yes—
98#2774C2212yes—
99#2773C2212yes—
100#2773C2212yes—
101#2771C2212yes—
102#2771C2212yes—
103#2770C2212yes—
104#2770C2212yes—
105#2770C2212yes—
106#2768C2212yes—
107#2768C2212yes—
108#2767C2212yes—
109#2766C2212yes—
110#2765C2212yes—
111#2765C2212yes—
112#2765C2212yes—
113#2762C2212yes—
114#2762C2212yes—
115#2761C2212yes—
116#2761C2212yes—
117#2758C2212yes—
118#2757C2212yes—
119#2756C2212yes—
120#2753C2212yes—
121#2752C2212yes—
122#2750C2212yes—
123#2750C2212yes—
124#2750C2212yes—
125#2749C2212yes—
126#2748C2212yes—
127#2747C2212yes—
128#2747C2212yes—
129#2746C2212yes—
130#2746C2212yes—
131#2746C2212yes—
132#2746C2212yes—
133#2746C2212yes—
134#2746C2212yes—
135#2744C2212yes—
136#2743C2212yes—
137#2743C2212yes—
138#2741C2212yes—
139#2740C2212yes—
140#2740C2212yes—
141#2740C2212yes—
142#2739C2212yes—
143#2739C2212yes—
144#2739C2212yes—
145#2738C2212yes—
146#2733C2211yescharacteristic
147#2732C2212yes—
148#2732C2211yescharacteristic
149#2727C2212yes—
150#2726C2211yescharacteristic
151#2722C2212yes—
152#2720C2212yes—
153#2719C2212yes—
154#2719C2212yes—
155#2717C2212yes—
156#2717C2212yes—
157#2715C2212yes—
158#2710C2212yes—
159#2709C2212yes—
160#2709C2212yes—
161#2708C2212yes—
162#2708C2212yes—
163#2708C2212yes—
164#2707C2212yes—
165#2707C2212yes—
166#2707C2212yes—
167#2706C2212yes—
168#2706C2212yes—
169#2706C2212yes—
170#2705C2212yes—
171#2704C2212yes—
172#2701C2212yes—
173#2701C2212yes—
174#2701C2212yes—
175#2699C2212yes—
176#2698C2212yes—
177#2698C2212yes—
178#2695C2212yes—
179#2695C2212yes—
180#2695C2212yes—
181#2694C2212yes—
182#2694C2212yes—
183#2693C2212yes—
184#2693C2212yes—
185#2693C2212yes—
186#2693C2212yes—
187#2691C2212yes—
188#2691C2212yes—
189#2691C2212yes—
190#2691C2212yes—
191#2691C2212yes—
192#2688C2212yes—
193#2688C2212yes—
194#2688C2212yes—
195#2688C2212yes—
196#2688C2212yes—
197#2688C2212yes—
198#2688C2212yes—
199#2688C2212yes—
200#2682C2212yes—
201#2682C2211yescharacteristic
202#2681C2212yes—
203#2680C2212yes—
204#2676C2212yes—
205#2676C2212yes—
206#2675C2212yes—
207#2673C2212yes—
208#2673C2212yes—
209#2672C2212yes—
210#2672C2212yes—
211#2671C2212yes—
212#2671C2212yes—
213#2671C2212yes—
214#2671C2212yes—
215#2671C2212yes—
216#2667C2212yes—
217#2667C2212yes—
218#2664C2212yes—
219#2663C2212yes—
220#2659C2211yescharacteristic
221#2659C2211yescharacteristic
222#2655C2212yes—
223#2652C2212yes—
224#2651C2212yes—
225#2649C2212yes—
226#2646C2212yes—
227#2639C2211yescharacteristic
228#2638C2212yes—
229#2635C2212yes—
230#2634C2212yes—
231#2633C2212yes—
232#2630C2212yes—
233#2627C2212yes—
234#2627C2211yescharacteristic
235#2624C2212yes—
236#2623C2212yes—
237#2618C2211yescharacteristic
238#2618C2211yescharacteristic
239#2618C2212yes—
240#2602C2212yes—
241#2602C2212yes—
242#2599C2212yes—
243#2598C2212yes—
244#2594C2212yes—
245#2590C2212yes—
246#2585C2212yes—
247#2582C2211yescharacteristic
248#2579C2212yes—
249#2579C2212yes—
250#2579C2212yes—
251#2578C2212yes—
252#2578C2212yes—
253#2577C2212yes—
254#2576C2212yes—
255#2576C2212yes—
256#2576C2212yes—
257#2576C2212yes—
258#2574C2212yes—
259#2559C2212yes—
260#2558C2212yes—
261#2556C2212yes—
262#2556C2212yes—
263#2553C2212yes—
264#2548C2211yescharacteristic
265#2544C2212yes—
266#2543C2212yes—
267#2537C2212yes—
268#2535C2212yes—
269#2524C2212yes—
270#2524C2212yes—
271#2521C2212yes—
272#2521C2212yes—
273#2518C2212yes—
274#2516C2212yes—
275#2510C2212yes—
276#2510C2212yes—
277#2506C2212yes—
278#2505C2212yes—
279#2505C2212yes—
280#2505C2212yes—
281#2493C2212yes—
282#2493C2212yes—
283#2490C2212yes—
284#2490C2212yes—
285#2488C2212yes—
286#2487C2212yes—
287#2486C2212yes—
288#2481C2212yes—
289#2481C2212yes—
290#2481C2212yes—
291#2481C2212yes—
292#2478C2212yes—
293#2475C2212yes—
294#2474C2212yes—
295#2473C2212yes—
296#2473C2212yes—
297#2473C2212yes—
298#2470C2212yes—
299#2468C2212yes—
300#2467C2212yes—
301#2467C2212yes—
302#2466C2212yes—
303#2466C2212yes—
304#2464C2212yes—
305#2464C2212yes—
306#2464C2212yes—
307#2464C2212yes—
308#2462C2212yes—
309#2461C2212yes—
310#2457C2212yes—
311#2456C2212yes—
312#2456C2212yes—
313#2455C2212yes—
314#2454C2212yes—
315#2450C2212yes—
316#2449C2212yes—
317#2444C2212yes—
318#2444C2212yes—
319#2444C2212yes—
320#2444C2212yes—
321#2443C2212yes—
322#2443C2212yes—
323#2443C2212yes—
324#2443C2212yes—
325#2443C2212yes—
326#2443C2212yes—
327#2443C2212yes—
328#2443C2212yes—
329#2442C2212yes—
330#2438C2212yes—
331#2438C2212yes—
332#2430C2212yes—
333#2430C2212yes—
334#2428C2212yes—
335#2427C2212yes—
336#2425C2212yes—
337#2425C2212yes—
338#2425C2212yes—
339#2425C2212yes—
340#2425C2212yes—
341#2421C2212yes—
342#2420C2212yes—
343#2419C2212yes—
344#2419C2212yes—
345#2419C2212yes—
346#2419C2212yes—
347#2419C2212yes—
348#2419C2212yes—
349#2417C2212yes—
350#2416C2212yes—
351#2413C2212yes—
352#2407C2212yes—
353#2406C2212yes—
354#2406C2212yes—
355#2380C2212yes—
356#2379C2211yescharacteristic
357#2377C2212yes—
358#2364C2212yes—
359#2361C2212yes—
360#2352C2212yes—
361#2349C2212yes—
362D4×C4⋊C4C2211yescharacteristic
363#2336C2212yes—
364#2335C2212yes—
365#2333C2212yes—
366#2329C2211yescharacteristic
367#2325C2211yescharacteristic
368#2325C2212yes—
369#2325C2211yescharacteristic
370#2325C2211yescharacteristic
371#2325C2211yescharacteristic
372#2322C2212yes—
373#2311C2212yes—
374C4×C22⋊Q8C2211yescharacteristic
375C4×#123C2212yes—
376C4×#121C2212yes—
377C2×#389C2212yes—
378C2×#387C2211yescharacteristic
379C22×#41C2312yes—
380#562—44no—
381#550—44no—
382#540—48no—
383#539—44no—
384C2×#127C2312yes—
385C2×#127C2311yescharacteristic
386#529—44no—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#125C2311yescharacteristic
393C2×#125C2311yescharacteristic
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#124C2311yescharacteristic
399C2×#124C2311yescharacteristic
400C2×#124C2312yes—
401C2×#124C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
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×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×#121C2311yescharacteristic
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2311yescharacteristic
431C2×#121C2311yescharacteristic
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C22×C4⋊C4C2311yescharacteristic
469C22×C4⋊C4C2311yescharacteristic
470C22×C4⋊C4C2312yes—
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2312yes—
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2312yes—
475C22×C42C2311yescharacteristic
476C22×C42C2312yes—
477#401C2312yes—
478#401C2312yes—
479#401C2312yes—
480#401C2312yes—
481#401C2312yes—
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#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#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#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#398C2312yes—
582#398C2312yes—
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#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#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#395C2312yes—
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#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#392C2312yes—
704#392C2312yes—
705#392C2312yes—
706#392C2312yes—
707#392C2312yes—
708#392C2312yes—
709#392C2312yes—
710#392C2312yes—
711#392C2312yes—
712#392C2312yes—
713#392C2312yes—
714#392C2312yes—
715#392C2312yes—
716#392C2312yes—
717#391C2311yescharacteristic
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2311yescharacteristic
722#391C2312yes—
723#391C2311yescharacteristic
724#391C2311yescharacteristic
725#391C2312yes—
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
729#390C2311yescharacteristic
730#390C2312yes—
731#390C2312yes—
732#390C2311yescharacteristic
733#390C2311yescharacteristic
734#390C2312yes—
735#390C2312yes—
736#390C2312yes—
737#390C2312yes—
738#390C2312yes—
739#390C2312yes—
740#390C2312yes—
741#390C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2311yescharacteristic
757#389C2311yescharacteristic
758#389C2311yescharacteristic
759#389C2311yescharacteristic
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2311yescharacteristic
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#386C2312yes—
895#386C2312yes—
896#386C2312yes—
897#386C2312yes—
898#386C2312yes—
899#386C2312yes—
900#386C2312yes—
901#386C2312yes—
902#386C2312yes—
903#386C2312yes—
904#386C2312yes—
905#386C2312yes—
906#386C2312yes—
907#386C2312yes—
908#386C2312yes—
909#386C2312yes—
910#386C2312yes—
911#386C2312yes—
912#386C2312yes—
913#386C2312yes—
914#386C2312yes—
915#386C2312yes—
916#386C2312yes—
917#386C2312yes—
918#386C2312yes—
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
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#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
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#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#384C2311yescharacteristic
1017#384C2312yes—
1018#383C2312yes—
1019#383C2312yes—
1020#383C2312yes—
1021#383C2312yes—
1022#383C2312yes—
1023#382C2311yescharacteristic
1024#382C2311yescharacteristic
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#382C2312yes—
1030#382C2312yes—
1031#382C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2311yescharacteristic
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2311yescharacteristic
1056#380C2311yescharacteristic
1057#380C2311yescharacteristic
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070#380C2312yes—
1071#380C2312yes—
1072#380C2312yes—
1073#380C2312yes—
1074#380C2312yes—
1075#380C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2311yescharacteristic
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—
1095C2×#95C2311yescharacteristic
1096C2×#95C2311yescharacteristic
1097C2×#95C2311yescharacteristic
1098C2×#95C2312yes—
1099C2×#95C2311yescharacteristic
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C2×#41—44no—
1104C2×#41—44no—
1105C2×#41—82no—
1106C22×Q8C2411yescharacteristic
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2411yescharacteristic
1110C22×D4C2412yes—
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2411yescharacteristic
1125C22×D4C2412yes—
1126C22×D4C2411yescharacteristic
1127C22×D4C2411yescharacteristic
1128C22×D4C2412yes—
1129C22×D4C2411yescharacteristic
1130C23×C4C2412yes—
1131C23×C4C2411yescharacteristic
1132C23×C4C2412yes—
1133C23×C4C2411yescharacteristic
1134C23×C4C2411yescharacteristic
1135C23×C4C2411yescharacteristic
1136C23×C4C2411yescharacteristic
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2411yescharacteristic
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C23×C4C2412yes—
1148C23×C4C2412yes—
1149C23×C4C2411yescharacteristic
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2412yes—
1153#127—28no—
1154#127—42no—
1155#126—44no—
1156#126—44no—
1157#126—82no—
1158#126—82no—
1159#126—82no—
1160#125—42no—
1161#125—44no—
1162#125—42no—
1163#125—44no—
1164#125—44no—
1165#125—82no—
1166#124—24no—
1167#124—42no—
1168#124—82no—
1169#124—82no—
1170#123—28no—
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—
1186#123—82no—
1187C22⋊Q8—44no—
1188C22⋊Q8—44no—
1189C22⋊Q8—44no—
1190C22⋊Q8—42no—
1191C22⋊Q8—42no—
1192C22⋊Q8—42no—
1193C22⋊Q8—42no—
1194C22⋊Q8—82no—
1195#121—24no—
1196#121—28no—
1197#121—42no—
1198#121—44no—
1199#121—44no—
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—44no—
1210#121—42no—
1211#121—42no—
1212#121—44no—
1213#121—44no—
1214#121—82no—
1215#121—82no—
1216#121—82no—
1217#121—82no—
1218C4×Q8—42no—
1219C4×Q8—42no—
1220C4×D4—24no—
1221C4×D4—44no—
1222C4×D4—44no—
1223C4×D4—44no—
1224C4×D4—44no—
1225C4×D4—44no—
1226C4×D4—44no—
1227C4×D4—44no—
1228C4×D4—82no—
1229C4×D4—82no—
1230C4×D4—82no—
1231C4×D4—82no—
1232C4×D4—82no—
1233C4×D4—82no—
1234#117—44no—
1235#117—44no—
1236C2×C4⋊C4—44no—
1237C2×C4⋊C4—42no—
1238C2×C4⋊C4—42no—
1239C2×C4⋊C4—82no—
1240C2×C4⋊C4—82no—
1241C2×C4⋊C4—82no—
1242C2×C4⋊C4—82no—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2411yescharacteristic
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2411yescharacteristic
1252C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
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⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2411yescharacteristic
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2411yescharacteristic
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2411yescharacteristic
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2411yescharacteristic
1309C2×C4⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2411yescharacteristic
1311C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2411yescharacteristic
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2411yescharacteristic
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×C42—42no—
1416C2×C42—82no—
1417C2×C42C2412yes—
1418C2×C42C2411yescharacteristic
1419C2×C42C2411yescharacteristic
1420C2×C42C2411yescharacteristic
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2411yescharacteristic
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
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—
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
1546#41—816no—
1547C2×Q8—22no—
1548C2×Q8—22no—
1549C2×Q8—41no—
1550C2×Q8—41no—
1551C2×Q8—41no—
1552C2×Q8—41no—
1553C2×Q8—41no—
1554C2×Q8—41no—
1555C2×Q8—41no—
1556C2×Q8—41no—
1557C2×Q8—41no—
1558C2×Q8—41no—
1559C2×D4—24no—
1560C2×D4—24no—
1561C2×D4—24no—
1562C2×D4—24no—
1563C2×D4—24no—
1564C2×D4—24no—
1565C2×D4—24no—
1566C2×D4—24no—
1567C2×D4—24no—
1568C2×D4—24no—
1569C2×D4—24no—
1570C2×D4—24no—
1571C2×D4—24no—
1572C2×D4—41no—
1573C2×D4—41no—
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—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
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—42no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—41no—
1603C2×D4—41no—
1604C2×D4—41no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—41no—
1609C2×D4—41no—
1610C2×D4—41no—
1611C2×D4—41no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—41no—
1615C2×D4—41no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4H(5,𝔽2)14yes—
1619C22×C4—24no—
1620C22×C4—24no—
1621C22×C4—24no—
1622C22×C4—22no—
1623C22×C4—22no—
1624C22×C4—22no—
1625C22×C4—24no—
1626C22×C4—22no—
1627C22×C4—22no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4—42no—
1631C22×C4—42no—
1632C22×C4—41no—
1633C22×C4—41no—
1634C22×C4—42no—
1635C22×C4—42no—
1636C22×C4—41no—
1637C22×C4—42no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—41no—
1648C22×C4—41no—
1649C22×C4—41no—
1650C22×C4—41no—
1651C22×C4—42no—
1652C22×C4—41no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—41no—
1656C22×C4—42no—
1657C22×C4—41no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—41no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—41no—
1671C22×C4—42no—
1672C22×C4—41no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4—41no—
1685C22×C4—41no—
1686C22×C4—41no—
1687C22×C4—42no—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2511yescharacteristic
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2512yes—
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2511yescharacteristic
1707C22×C4C2511yescharacteristic
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2511yescharacteristic
1711C22×C4C2512yes—
1712C22×C4C2512yes—
1713C22×C4C2512yes—
1714C22×C4C2512yes—
1715C22×C4C2512yes—
1716C22×C4C2511yescharacteristic
1717C22×C4C2511yescharacteristic
1718C4⋊C4—24no—
1719C4⋊C4—22no—
1720C4⋊C4—22no—
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—22no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—41no—
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—42no—
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—41no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—41no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—41no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—41no—
1779C4⋊C4—41no—
1780C4⋊C4—41no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—41no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—41no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—41no—
1795C4⋊C4—41no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—41no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C22⋊C4—24no—
1807C22⋊C4—24no—
1808C22⋊C4—24no—
1809C22⋊C4—24no—
1810C22⋊C4—24no—
1811C22⋊C4—24no—
1812C22⋊C4—24no—
1813C22⋊C4—24no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
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—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C42—22no—
1891C42—22no—
1892C42—24no—
1893C42—41no—
1894C42—41no—
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—
1909C42—42no—
1910C23—21no—
1911C23—21no—
1912C23—22no—
1913C23—22no—
1914C23—22no—
1915C23—21no—
1916C23—21no—
1917C23—22no—
1918C23—22no—
1919C23—22no—
1920C23—21no—
1921C23—21no—
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—
1943C23C2×H(5,𝔽2)14yes—
1944C23#58512yes—
1945C23C2611yescharacteristic
1946Q8—44no—
1947Q8—82no—
1948Q8—161no—
1949Q8—161no—
1950D4—44no—
1951D4—48no—
1952D4—84no—
1953D4—84no—
1954D4—84no—
1955D4—84no—
1956D4—84no—
1957D4—84no—
1958D4—84no—
1959D4—84no—
1960D4—84no—
1961D4—84no—
1962D4—84no—
1963D4—84no—
1964D4—162no—
1965D4—161no—
1966D4—161no—
1967D4—161no—
1968D4—162no—
1969D4—162no—
1970C2×C4—21no—
1971C2×C4—21no—
1972C2×C4—21no—
1973C2×C4—21no—
1974C2×C4—21no—
1975C2×C4—21no—
1976C2×C4—21no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—21no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
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—21no—
2012C2×C4—21no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—21no—
2029C2×C4—22no—
2030C2×C4—21no—
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—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—21no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—21no—
2057C2×C4—21no—
2058C2×C4—48no—
2059C2×C4—48no—
2060C2×C4—82no—
2061C2×C4—82no—
2062C2×C4—84no—
2063C2×C4—82no—
2064C2×C4—82no—
2065C2×C4—82no—
2066C2×C4—84no—
2067C2×C4—84no—
2068C2×C4—84no—
2069C2×C4—84no—
2070C2×C4—84no—
2071C2×C4—84no—
2072C2×C4—161no—
2073C2×C4—161no—
2074C2×C4—162no—
2075C2×C4—162no—
2076C2×C4—162no—
2077C2×C4—162no—
2078C2×C4—162no—
2079C2×C4—162no—
2080C2×C4—162no—
2081C2×C4C2×H(5,𝔽2)12yes—
2082C2×C4#58512yes—
2083C22—24no—
2084C22—22no—
2085C22—22no—
2086C22—24no—
2087C22—24no—
2088C22—22no—
2089C22—41no—
2090C22—42no—
2091C22—42no—
2092C22—41no—
2093C22—41no—
2094C22—42no—
2095C22—41no—
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—
2115C22—42no—
2116C22—42no—
2117C22—42no—
2118C22C22×H(5,𝔽2)11yescharacteristic
2119C22C2×#58511yescharacteristic
2120C22C2×#58511yescharacteristic
2121C22H(7,𝔽2)11yescharacteristic
2122C22H(7,𝔽2)11yescharacteristic
2123C222−1+611yescharacteristic
2124C222−1+611yescharacteristic
2125C4—22no—
2126C4—22no—
2127C4—42no—
2128C4—42no—
2129C4—42no—
2130C4—42no—
2131C4—42no—
2132C4—42no—
2133C4—42no—
2134C4—41no—
2135C4—42no—
2136C4—42no—
2137C4—42no—
2138C4—42no—
2139C4—42no—
2140C4—42no—
2141C4—42no—
2142C4—41no—
2143C4—42no—
2144C4—42no—
2145C4—41no—
2146C4—42no—
2147C4—42no—
2148C4—42no—
2149C4—42no—
2150C4—42no—
2151C4—41no—
2152C4—42no—
2153C4—42no—
2154C4—42no—
2155C2—44no—
2156C2—42no—
2157C2—82no—
2158C2—82no—
2159C2—82no—
2160C2#6286611yescharacteristic
2161C2#6287011yescharacteristic
2162C2#6289811yescharacteristic
2163C2#6291811yescharacteristic
2164C2#6296411yescharacteristic
2165C2#6297711yescharacteristic
2166C2#6304711yescharacteristic
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. #58078C2semidirect
2. #58076C2semidirect
3. #57908C2semidirect
4. #57769C2semidirect
5. #57682C2semidirect
6. #55286C2semidirect
7. #54456C2semidirect
8. #54236C2semidirect
9. #54060C2semidirect
10. #53741C2semidirect
11. #53561C2semidirect
12. #53466C2semidirect
13. #53228C2semidirect
14. #53190C2semidirect
15. #52009C2semidirect
16. #49574C2semidirect
17. #49108C2semidirect
18. #48628C2semidirect
19. #48325C2semidirect
20. #48294C2semidirect
21. #47502C2semidirect
22. #46723C2semidirect
23. #46622C2semidirect
24. #45972C2semidirect
25. #45692C2semidirect
26. #39799C2semidirect
27. #39388C2semidirect
28. #38909C2semidirect
29. #38597C2semidirect
30. #38573C2semidirect
31. #37763C2semidirect
32. #37182C2semidirect
33. #37168C2semidirect
34. #36823C2semidirect
35. #36761C2semidirect

Maximal subgroups

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

subgroupindex
#580782
#580762
#579082
#577692
#576822
#552862
#544562
#542362
#540602
#537412
#535612
#534662
#532282
#531902
#520092
#495742
#491082
#486282
#483252
#482942
#475022
#467232
#466222
#459722
#456922
#397992
#393882
#389092
#385972
#385732
#377632
#371822
#371682
#368232
#367612