Finite Group Databasebeta

← #8437729

Subgroups — #8437729

Order 512.

4344 conjugacy classes of subgroups.

The subgroup lattice has 2057 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59939C211yesmaximal, characteristic, complemented
2#59527C212yesmaximal, complemented
3#58289C212yesmaximal, complemented
4#58168C212yesmaximal, complemented
5#57510C212yesmaximal, complemented
6#56457C212yesmaximal, complemented
7#55492C211yesmaximal, characteristic, complemented
8#54656C212yesmaximal, complemented
9#54474C211yesmaximal, characteristic, complemented
10#52679C212yesmaximal, complemented
11#52438C212yesmaximal, complemented
12#51209C211yesmaximal, characteristic, complemented
13#48562C212yesmaximal, complemented
14#47837C211yesmaximal, characteristic
15#46309C212yesmaximal, complemented
16#46277C212yesmaximal, complemented
17#44225C212yesmaximal, complemented
18#43371C212yesmaximal, complemented
19#41633C212yesmaximal, complemented
20#41026C212yesmaximal, complemented
21#41000C212yesmaximal, complemented
22#40921C212yesmaximal, complemented
23#40202C212yesmaximal, complemented
24#40187C212yesmaximal, complemented
25#40014C212yesmaximal, complemented
26#40013C212yesmaximal, complemented
27#38834C212yesmaximal, complemented
28#37821C212yesmaximal, complemented
29#37491C211yesmaximal, characteristic, complemented
30#37247C212yesmaximal, complemented
31#36892C212yesmaximal, complemented
32#36578C211yesmaximal, characteristic, complemented
33#36533C212yesmaximal, complemented
34#35049C212yesmaximal, complemented
35#34691C212yesmaximal, complemented
36C2×#563C2211yescharacteristic
37C2×#548C2211yescharacteristic
38C2×#539C2211yescharacteristic
39C2×#533C2212yes—
40C22×C4×Q8C2211yescharacteristic
41#2865C2212yes—
42#2864C2212yes—
43#2860C2212yes—
44#2854C2212yes—
45#2854C2211yescharacteristic
46#2853C2212yes—
47#2852C2212yes—
48#2852C2212yes—
49#2844C2212yes—
50#2844C2211yescharacteristic
51#2841C2212yes—
52#2839C2212yes—
53#2839C2212yes—
54#2838C2212yes—
55#2838C2212yes—
56#2838C2212yes—
57#2834C2211yescharacteristic
58#2834C2211yescharacteristic
59#2831C2212yes—
60#2829C2212yes—
61#2826C2211yescharacteristic
62#2824C2212yes—
63#2821C2212yes—
64#2821C2212yes—
65#2820C2212yes—
66#2814C2212yes—
67#2807C2211yescharacteristic
68#2807C2211yescharacteristic
69#2806C2212yes—
70#2798C2212yes—
71#2796C2212yes—
72#2795C2211yescharacteristic
73#2792C2212yes—
74#2789C2212yes—
75#2789C2212yes—
76#2788C2212yes—
77#2787C2212yes—
78#2787C2212yes—
79#2786C2212yes—
80#2784C2212yes—
81#2783C2212yes—
82#2783C2212yes—
83#2783C2212yes—
84#2782C2211yescharacteristic
85#2782C2212yes—
86#2781C2212yes—
87#2778C2212yes—
88#2778C2212yes—
89#2776C2212yes—
90#2775C2212yes—
91#2772C2212yes—
92#2769C2212yes—
93#2768C2212yes—
94#2767C2212yes—
95#2767C2212yes—
96#2766C2212yes—
97#2766C2212yes—
98#2766C2212yes—
99#2765C2212yes—
100#2763C2212yes—
101#2762C2212yes—
102#2762C2212yes—
103#2759C2212yes—
104#2757C2212yes—
105#2757C2212yes—
106#2755C2212yes—
107#2753C2212yes—
108#2751C2212yes—
109#2748C2211yescharacteristic
110#2747C2212yes—
111#2747C2212yes—
112#2745C2212yes—
113#2744C2212yes—
114#2737C2212yes—
115#2732C2212yes—
116#2730C2212yes—
117#2729C2212yes—
118#2729C2212yes—
119#2728C2212yes—
120#2726C2212yes—
121#2725C2212yes—
122#2725C2212yes—
123#2724C2212yes—
124#2723C2212yes—
125#2723C2212yes—
126#2723C2212yes—
127#2722C2212yes—
128#2722C2212yes—
129#2721C2212yes—
130#2721C2212yes—
131#2720C2212yes—
132#2720C2212yes—
133#2719C2212yes—
134#2718C2212yes—
135#2716C2212yes—
136#2715C2212yes—
137#2714C2212yes—
138#2713C2212yes—
139#2710C2212yes—
140#2708C2212yes—
141#2706C2212yes—
142#2705C2212yes—
143#2705C2212yes—
144#2704C2212yes—
145#2703C2212yes—
146#2702C2212yes—
147#2698C2212yes—
148#2698C2212yes—
149#2696C2212yes—
150#2696C2212yes—
151#2694C2212yes—
152#2694C2212yes—
153#2692C2212yes—
154#2692C2212yes—
155#2692C2212yes—
156#2691C2212yes—
157#2690C2212yes—
158#2690C2212yes—
159#2689C2212yes—
160#2687C2212yes—
161#2683C2211yescharacteristic
162#2681C2212yes—
163#2681C2212yes—
164#2680C2212yes—
165#2674C2212yes—
166#2674C2212yes—
167#2672C2212yes—
168#2666C2212yes—
169#2664C2212yes—
170#2663C2212yes—
171#2663C2212yes—
172#2662C2212yes—
173#2655C2212yes—
174#2655C2212yes—
175#2653C2212yes—
176#2653C2212yes—
177#2653C2212yes—
178#2653C2212yes—
179#2652C2212yes—
180#2651C2212yes—
181#2650C2212yes—
182#2648C2212yes—
183#2648C2212yes—
184#2638C2212yes—
185#2637C2212yes—
186#2637C2212yes—
187#2636C2212yes—
188#2636C2212yes—
189#2635C2211yescharacteristic
190#2634C2211yescharacteristic
191#2633C2211yescharacteristic
192#2618C2212yes—
193#2615C2211yescharacteristic
194#2608C2212yes—
195#2607C2211yescharacteristic
196#2602C2212yes—
197#2602C2212yes—
198#2602C2212yes—
199#2600C2211yescharacteristic
200#2597C2212yes—
201#2596C2212yes—
202#2596C2212yes—
203#2595C2212yes—
204#2594C2212yes—
205#2593C2212yes—
206#2590C2212yes—
207#2590C2212yes—
208#2589C2212yes—
209#2588C2212yes—
210#2588C2212yes—
211#2587C2212yes—
212#2587C2212yes—
213#2587C2212yes—
214#2587C2212yes—
215#2586C2212yes—
216#2586C2212yes—
217#2585C2212yes—
218#2584C2211yescharacteristic
219#2581C2212yes—
220#2579C2211yescharacteristic
221#2578C2212yes—
222#2577C2212yes—
223#2575C2212yes—
224#2574C2212yes—
225#2574C2212yes—
226#2574C2212yes—
227#2573C2212yes—
228#2571C2211yescharacteristic
229#2566C2211yescharacteristic
230#2560C2212yes—
231#2560C2212yes—
232#2559C2212yes—
233#2559C2212yes—
234#2558C2212yes—
235#2557C2212yes—
236#2556C2212yes—
237#2556C2212yes—
238#2554C2212yes—
239#2554C2212yes—
240#2554C2212yes—
241#2553C2212yes—
242#2550C2212yes—
243#2533C2212yes—
244#2532C2212yes—
245#2532C2212yes—
246#2531C2212yes—
247#2529C2212yes—
248#2528C2212yes—
249#2527C2212yes—
250#2526C2212yes—
251#2525C2212yes—
252#2525C2212yes—
253#2522C2212yes—
254#2520C2212yes—
255#2519C2212yes—
256#2519C2212yes—
257#2518C2212yes—
258#2517C2211yescharacteristic
259#2513C2212yes—
260#2509C2212yes—
261#2508C2212yes—
262#2507C2212yes—
263#2506C2212yes—
264#2504C2212yes—
265#2504C2211yescharacteristic
266#2496C2212yes—
267#2494C2212yes—
268#2494C2212yes—
269#2487C2212yes—
270#2487C2211yescharacteristic
271#2479C2212yes—
272#2478C2212yes—
273#2477C2212yes—
274#2476C2212yes—
275#2475C2212yes—
276#2473C2212yes—
277#2473C2212yes—
278#2473C2212yes—
279#2471C2212yes—
280#2470C2212yes—
281#2470C2212yes—
282#2469C2212yes—
283#2469C2212yes—
284#2469C2212yes—
285#2469C2212yes—
286#2466C2212yes—
287#2466C2212yes—
288#2465C2212yes—
289#2465C2212yes—
290#2465C2212yes—
291#2465C2212yes—
292#2465C2212yes—
293#2462C2212yes—
294#2462C2212yes—
295#2462C2212yes—
296#2462C2212yes—
297#2462C2212yes—
298#2462C2212yes—
299#2461C2212yes—
300#2461C2212yes—
301#2460C2212yes—
302#2460C2212yes—
303#2458C2212yes—
304#2458C2212yes—
305#2458C2212yes—
306#2457C2212yes—
307#2456C2212yes—
308#2456C2212yes—
309#2454C2212yes—
310#2451C2212yes—
311#2449C2212yes—
312#2449C2212yes—
313#2449C2212yes—
314#2448C2212yes—
315#2448C2212yes—
316#2448C2212yes—
317#2446C2212yes—
318#2442C2212yes—
319#2440C2212yes—
320#2440C2212yes—
321#2434C2212yes—
322#2429C2212yes—
323#2423C2212yes—
324#2423C2212yes—
325#2421C2212yes—
326#2421C2212yes—
327#2421C2212yes—
328#2421C2212yes—
329#2417C2212yes—
330#2409C2212yes—
331#2406C2212yes—
332#2406C2211yescharacteristic
333#2399C2212yes—
334#2399C2212yes—
335#2396C2212yes—
336#2396C2212yes—
337#2381C2212yes—
338#2378C2211yescharacteristic
339#2374C2211yescharacteristic
340#2374C2211yescharacteristic
341#2374C2212yes—
342#2374C2212yes—
343#2374C2212yes—
344#2374C2212yes—
345#2370C2212yes—
346#2370C2212yes—
347#2370C2212yes—
348#2367C2212yes—
349#2360C2212yes—
350#2360C2212yes—
351#2355C2212yes—
352#2351C2212yes—
353#2345C2212yes—
354#2341C2212yes—
355Q8×C22⋊C4C2211yescharacteristic
356#2337C2211yescharacteristic
357#2335C2212yes—
358#2335C2212yes—
359#2334C2212yes—
360#2334C2212yes—
361#2334C2212yes—
362#2334C2212yes—
363#2334C2212yes—
364#2333C2212yes—
365#2332C2212yes—
366C4×C4⋊Q8C2212yes—
367C4×#126C2212yes—
368C4×C22⋊Q8C2212yes—
369C4×C22⋊Q8C2212yes—
370C4×C22⋊Q8C2212yes—
371C4×C22⋊Q8C2212yes—
372C4×#123C2211yescharacteristic
373C4×#123C2212yes—
374C4×#123C2212yes—
375#2295C2212yes—
376#2290C2212yes—
377#2290C2212yes—
378C42×D4C2212yes—
379C22×#41C2311yescharacteristic
380C23×Q8C2311yescharacteristic
381#563—44no—
382#548—44no—
383#539—44no—
384#533—48no—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#125C2312yes—
398C2×#125C2311yescharacteristic
399C2×#125C2311yescharacteristic
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#124C2311yescharacteristic
406C2×#124C2312yes—
407C2×#124C2312yes—
408C2×#123C2311yescharacteristic
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2311yescharacteristic
435C2×#121C2311yescharacteristic
436C2×C4×Q8—44no—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×#117C2312yes—
454C2×#117C2312yes—
455C22×C4⋊C4C2311yescharacteristic
456C22×C4⋊C4C2312yes—
457C22×C4⋊C4C2312yes—
458C22×C4⋊C4C2311yescharacteristic
459C22×C42C2312yes—
460C22×C42C2312yes—
461C22×C42C2311yescharacteristic
462#401C2312yes—
463#401C2312yes—
464#401C2312yes—
465#401C2312yes—
466#401C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2311yescharacteristic
474#400C2312yes—
475#400C2311yescharacteristic
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2311yescharacteristic
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#399C2311yescharacteristic
505#399C2312yes—
506#399C2312yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2311yescharacteristic
511#399C2312yes—
512#399C2311yescharacteristic
513#399C2312yes—
514#399C2311yescharacteristic
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2311yescharacteristic
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2311yescharacteristic
580#397C2311yescharacteristic
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#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
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#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2311yescharacteristic
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#393C2312yes—
668#393C2312yes—
669#393C2312yes—
670#393C2312yes—
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#393C2312yes—
677#393C2312yes—
678#393C2312yes—
679#393C2312yes—
680#393C2312yes—
681#392C2312yes—
682#392C2311yescharacteristic
683#392C2312yes—
684#392C2312yes—
685#392C2312yes—
686#392C2312yes—
687#392C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#390C2312yes—
709#390C2312yes—
710#390C2311yescharacteristic
711#390C2311yescharacteristic
712#390C2312yes—
713#390C2312yes—
714#390C2312yes—
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2312yes—
722#390C2312yes—
723#390C2312yes—
724#390C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#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#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#386C2312yes—
938#386C2312yes—
939#386C2311yescharacteristic
940#386C2312yes—
941#386C2311yescharacteristic
942#386C2312yes—
943#386C2311yescharacteristic
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2311yescharacteristic
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2311yescharacteristic
976#385C2312yes—
977#385C2311yescharacteristic
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#384C2312yes—
1004#384C2311yescharacteristic
1005#384C2312yes—
1006#383C2312yes—
1007#383C2312yes—
1008#383C2312yes—
1009#383C2311yescharacteristic
1010#383C2312yes—
1011#382C2312yes—
1012#382C2311yescharacteristic
1013#382C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2311yescharacteristic
1028#381C2311yescharacteristic
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2311yescharacteristic
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2311yescharacteristic
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2311yescharacteristic
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×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⋊C4C2311yescharacteristic
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—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100#376C2312yes—
1101#376C2312yes—
1102C43C2312yes—
1103C2×#41—42no—
1104C2×#41—44no—
1105C22×Q8—24no—
1106C22×Q8—44no—
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2412yes—
1109C22×Q8C2412yes—
1110C22×Q8C2412yes—
1111C22×Q8C2412yes—
1112C22×Q8C2412yes—
1113C22×Q8C2411yescharacteristic
1114C22×D4C2412yes—
1115C22×D4C2411yescharacteristic
1116C22×D4C2412yes—
1117C22×D4C2411yescharacteristic
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2411yescharacteristic
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C23×C4C2412yes—
1124C23×C4C2411yescharacteristic
1125C23×C4C2412yes—
1126C23×C4C2411yescharacteristic
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2411yescharacteristic
1132C23×C4C2411yescharacteristic
1133C23×C4C2412yes—
1134C23×C4C2411yescharacteristic
1135C23×C4C2412yes—
1136C23×C4C2411yescharacteristic
1137C4⋊Q8—28no—
1138C4⋊Q8—44no—
1139C4⋊Q8—44no—
1140#126—44no—
1141#126—44no—
1142#126—44no—
1143#126—44no—
1144#126—44no—
1145#126—44no—
1146#126—44no—
1147#126—44no—
1148#126—44no—
1149#125—44no—
1150#125—42no—
1151#125—42no—
1152#125—44no—
1153#125—44no—
1154#125—44no—
1155#125—44no—
1156#125—44no—
1157#124—24no—
1158#124—44no—
1159#124—44no—
1160#123—24no—
1161#123—28no—
1162#123—44no—
1163#123—44no—
1164#123—44no—
1165#123—44no—
1166#123—44no—
1167#123—44no—
1168#123—44no—
1169#123—44no—
1170C22⋊Q8—28no—
1171C22⋊Q8—24no—
1172C22⋊Q8—44no—
1173C22⋊Q8—44no—
1174C22⋊Q8—44no—
1175C22⋊Q8—44no—
1176C22⋊Q8—44no—
1177C22⋊Q8—44no—
1178C22⋊Q8—44no—
1179C22⋊Q8—44no—
1180C22⋊Q8—44no—
1181C22⋊Q8—44no—
1182C22⋊Q8—44no—
1183C22⋊Q8—44no—
1184#121—44no—
1185#121—42no—
1186#121—44no—
1187#121—42no—
1188C4×Q8—28no—
1189C4×Q8—44no—
1190C4×Q8—44no—
1191C4×Q8—44no—
1192C4×Q8—44no—
1193C4×Q8—44no—
1194C4×Q8—44no—
1195C4×Q8—44no—
1196C4×Q8—44no—
1197C4×Q8—42no—
1198C4×D4—28no—
1199C4×D4—44no—
1200C4×D4—42no—
1201C4×D4—44no—
1202C4×D4—44no—
1203C4×D4—44no—
1204#117—44no—
1205#117—44no—
1206C2×C4⋊C4—44no—
1207C2×C4⋊C4—42no—
1208C2×C4⋊C4—44no—
1209C2×C4⋊C4—42no—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2411yescharacteristic
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2411yescharacteristic
1243C2×C4⋊C4C2411yescharacteristic
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2411yescharacteristic
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2411yescharacteristic
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2411yescharacteristic
1262C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1277C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
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⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C22⋊C4C2412yes—
1306C2×C22⋊C4C2412yes—
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C22⋊C4C2412yes—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2411yescharacteristic
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2411yescharacteristic
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2411yescharacteristic
1371C2×C22⋊C4C2411yescharacteristic
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C42—44no—
1376C2×C42—42no—
1377C2×C42—44no—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2411yescharacteristic
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2411yescharacteristic
1410C2×C42C2411yescharacteristic
1411C2×C42C2412yes—
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2411yescharacteristic
1493#95C2412yes—
1494#95C2412yes—
1495#95C2411yescharacteristic
1496#95C2411yescharacteristic
1497#95C2412yes—
1498#95C2412yes—
1499#95C2411yescharacteristic
1500#95C2411yescharacteristic
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#95C2411yescharacteristic
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526C24C2512yes—
1527C24C2512yes—
1528C24C2511yescharacteristic
1529C24C2511yescharacteristic
1530#41—88no—
1531C2×Q8—22no—
1532C2×Q8—24no—
1533C2×Q8—24no—
1534C2×Q8—24no—
1535C2×Q8—24no—
1536C2×Q8—42no—
1537C2×Q8—42no—
1538C2×Q8—42no—
1539C2×Q8—42no—
1540C2×Q8—42no—
1541C2×Q8—42no—
1542C2×Q8—42no—
1543C2×Q8—42no—
1544C2×Q8—42no—
1545C2×Q8—42no—
1546C2×Q8—42no—
1547C2×Q8—42no—
1548C2×Q8—42no—
1549C2×Q8—416no—
1550C2×Q8H(5,𝔽2)14yes—
1551C2×D4—24no—
1552C2×D4—22no—
1553C2×D4—24no—
1554C2×D4—22no—
1555C2×D4—24no—
1556C2×D4—42no—
1557C2×D4—42no—
1558C2×D4—41no—
1559C2×D4—42no—
1560C2×D4—42no—
1561C2×D4—42no—
1562C2×D4—42no—
1563C2×D4—42no—
1564C2×D4—41no—
1565C2×D4—42no—
1566C2×D4—42no—
1567C2×D4—42no—
1568C2×D4—41no—
1569C2×D4—42no—
1570C2×D4—42no—
1571C2×D4—42no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C2×D4—42no—
1575C2×D4—42no—
1576C22×C4—24no—
1577C22×C4—22no—
1578C22×C4—24no—
1579C22×C4—24no—
1580C22×C4—24no—
1581C22×C4—22no—
1582C22×C4—24no—
1583C22×C4—24no—
1584C22×C4—41no—
1585C22×C4—42no—
1586C22×C4—41no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—41no—
1592C22×C4—42no—
1593C22×C4—41no—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—42no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—42no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—41no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—42no—
1612C22×C42−1+414yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2512yes—
1620C22×C4C2512yes—
1621C22×C4C2511yescharacteristic
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2511yescharacteristic
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2511yescharacteristic
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2512yes—
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2512yes—
1638C22×C4C2511yescharacteristic
1639C22×C4C2512yes—
1640C22×C4C2511yescharacteristic
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C4⋊C4—24no—
1645C4⋊C4—24no—
1646C4⋊C4—24no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—24no—
1652C4⋊C4—22no—
1653C4⋊C4—24no—
1654C4⋊C4—24no—
1655C4⋊C4—24no—
1656C4⋊C4—24no—
1657C4⋊C4—24no—
1658C4⋊C4—24no—
1659C4⋊C4—24no—
1660C4⋊C4—24no—
1661C4⋊C4—24no—
1662C4⋊C4—24no—
1663C4⋊C4—24no—
1664C4⋊C4—24no—
1665C4⋊C4—24no—
1666C4⋊C4—24no—
1667C4⋊C4—24no—
1668C4⋊C4—24no—
1669C4⋊C4—24no—
1670C4⋊C4—24no—
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—24no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—41no—
1679C4⋊C4—41no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—42no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—41no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—41no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—41no—
1708C4⋊C4—41no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—41no—
1726C4⋊C4—41no—
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—42no—
1738C4⋊C4—42no—
1739C22⋊C4—24no—
1740C22⋊C4—24no—
1741C22⋊C4—22no—
1742C22⋊C4—24no—
1743C22⋊C4—24no—
1744C22⋊C4—24no—
1745C22⋊C4—24no—
1746C22⋊C4—24no—
1747C22⋊C4—24no—
1748C22⋊C4—24no—
1749C22⋊C4—24no—
1750C22⋊C4—24no—
1751C22⋊C4—24no—
1752C22⋊C4—24no—
1753C22⋊C4—24no—
1754C22⋊C4—24no—
1755C22⋊C4—24no—
1756C22⋊C4—24no—
1757C22⋊C4—24no—
1758C22⋊C4—42no—
1759C22⋊C4—42no—
1760C22⋊C4—41no—
1761C22⋊C4—42no—
1762C22⋊C4—41no—
1763C22⋊C4—42no—
1764C22⋊C4—41no—
1765C22⋊C4—42no—
1766C22⋊C4—42no—
1767C22⋊C4—42no—
1768C22⋊C4—41no—
1769C22⋊C4—42no—
1770C22⋊C4—41no—
1771C22⋊C4—42no—
1772C22⋊C4—42no—
1773C22⋊C4—42no—
1774C22⋊C4—42no—
1775C22⋊C4—42no—
1776C22⋊C4—42no—
1777C22⋊C4—42no—
1778C22⋊C4—42no—
1779C22⋊C4—42no—
1780C22⋊C4—42no—
1781C22⋊C4—42no—
1782C22⋊C4—42no—
1783C22⋊C4—42no—
1784C22⋊C4—42no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C42—24no—
1810C42—24no—
1811C42—24no—
1812C42—24no—
1813C42—22no—
1814C42—24no—
1815C42—24no—
1816C42—24no—
1817C42—24no—
1818C42—42no—
1819C42—42no—
1820C42—42no—
1821C42—42no—
1822C42—42no—
1823C42—42no—
1824C42—42no—
1825C42—42no—
1826C42—41no—
1827C42—41no—
1828C42—42no—
1829C42—42no—
1830C42—42no—
1831C42—42no—
1832C42—42no—
1833C42—42no—
1834C42—42no—
1835C42—42no—
1836C42—42no—
1837C42—42no—
1838C42—42no—
1839C42—42no—
1840C42—42no—
1841C42—42no—
1842C42—42no—
1843C23—21no—
1844C23—22no—
1845C23—22no—
1846C23—21no—
1847C23—22no—
1848C23—22no—
1849C23—21no—
1850C23—22no—
1851C23—21no—
1852C23—22no—
1853C23—22no—
1854C23—22no—
1855C23—22no—
1856C23—22no—
1857C23—22no—
1858C23—22no—
1859C23—22no—
1860C23—22no—
1861C23—22no—
1862C23—22no—
1863C23—21no—
1864C23—22no—
1865C23—22no—
1866C23C2×2−1+412yes—
1867C23C2611yescharacteristic
1868Q8—28no—
1869Q8—44no—
1870Q8—48no—
1871Q8—84no—
1872Q8—84no—
1873Q8—84no—
1874Q8—84no—
1875D4—48no—
1876D4—82no—
1877D4—84no—
1878D4—82no—
1879D4—84no—
1880D4—84no—
1881D4—161no—
1882D4—162no—
1883D4—162no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—21no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—21no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—21no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—21no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—21no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—21no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—44no—
1969C2×C4—48no—
1970C2×C4—48no—
1971C2×C4—44no—
1972C2×C4—84no—
1973C2×C4—84no—
1974C2×C4—82no—
1975C2×C4—84no—
1976C2×C4—84no—
1977C2×C4—84no—
1978C2×C4—82no—
1979C2×C4—82no—
1980C2×C4—161no—
1981C2×C4—162no—
1982C2×C4C2×H(5,𝔽2)14yes—
1983C2×C4C2×H(5,𝔽2)12yes—
1984C2×C4C2×2−1+414yes—
1985C2×C4#58514yes—
1986C2×C4#58514yes—
1987C22—24no—
1988C22—22no—
1989C22—41no—
1990C22—41no—
1991C22—42no—
1992C22—42no—
1993C22—42no—
1994C22—42no—
1995C22—42no—
1996C22—42no—
1997C22—41no—
1998C22—42no—
1999C22—42no—
2000C22—42no—
2001C22—41no—
2002C22—42no—
2003C22—42no—
2004C22—42no—
2005C22—41no—
2006C22—42no—
2007C22—42no—
2008C22—42no—
2009C22—42no—
2010C22—42no—
2011C22C22×H(5,𝔽2)11yescharacteristic
2012C22C22×2−1+411yescharacteristic
2013C22C2×#58512yes—
2014C22C2×#58512yes—
2015C222−1+611yescharacteristic
2016C4—22no—
2017C4—24no—
2018C4—24no—
2019C4—24no—
2020C4—24no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C4—41no—
2027C4—42no—
2028C4—42no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—41no—
2034C4—41no—
2035C4—42no—
2036C4—42no—
2037C4—42no—
2038C4—42no—
2039C4—41no—
2040C4—42no—
2041C4—42no—
2042C4—42no—
2043C4—42no—
2044C4—42no—
2045C4—42no—
2046C4—42no—
2047C2—42no—
2048C2—82no—
2049C2—81no—
2050C2—82no—
2051C2#6276112yes—
2052C2#6282011yescharacteristic
2053C2#6289311yescharacteristic
2054C2#6297112yes—
2055C2#6302211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#47837C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59939C2semidirect
2. #59527C2semidirect
3. #58289C2semidirect
4. #58168C2semidirect
5. #57510C2semidirect
6. #56457C2semidirect
7. #55492C2semidirect
8. #54656C2semidirect
9. #54474C2semidirect
10. #52679C2semidirect
11. #52438C2semidirect
12. #51209C2semidirect
13. #48562C2semidirect
15. #46309C2semidirect
16. #46277C2semidirect
17. #44225C2semidirect
18. #43371C2semidirect
19. #41633C2semidirect
20. #41026C2semidirect
21. #41000C2semidirect
22. #40921C2semidirect
23. #40202C2semidirect
24. #40187C2semidirect
25. #40014C2semidirect
26. #40013C2semidirect
27. #38834C2semidirect
28. #37821C2semidirect
29. #37491C2semidirect
30. #37247C2semidirect
31. #36892C2semidirect
32. #36578C2semidirect
33. #36533C2semidirect
34. #35049C2semidirect
35. #34691C2semidirect

Maximal subgroups

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

subgroupindex
#599392
#595272
#582892
#581682
#575102
#564572
#554922
#546562
#544742
#526792
#524382
#512092
#485622
#478372
#463092
#462772
#442252
#433712
#416332
#410262
#410002
#409212
#402022
#401872
#400142
#400132
#388342
#378212
#374912
#372472
#368922
#365782
#365332
#350492
#346912