Finite Group Databasebeta

← #8095254

Subgroups — #8095254

Order 512.

4346 conjugacy classes of subgroups.

The subgroup lattice has 2047 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52914C211yesmaximal, characteristic, complemented
2#52913C212yesmaximal, complemented
3#52913C211yesmaximal, characteristic, complemented
4#52814C212yesmaximal, complemented
5#52812C212yesmaximal, complemented
6#52780C212yesmaximal, complemented
7#52778C212yesmaximal, complemented
8#52568C211yesmaximal, characteristic, complemented
9#52555C212yesmaximal, complemented
10#52554C212yesmaximal, complemented
11#52550C212yesmaximal, complemented
12#52549C211yesmaximal, characteristic
13#52535C212yesmaximal, complemented
14#52534C212yesmaximal, complemented
15#46115C212yesmaximal, complemented
16#46111C212yesmaximal, complemented
17#46009C212yesmaximal, complemented
18#46003C212yesmaximal, complemented
19#45907C212yesmaximal, complemented
20#45899C212yesmaximal, complemented
21#45798C212yesmaximal, complemented
22#45795C212yesmaximal, complemented
23#45752C212yesmaximal, complemented
24#45751C212yesmaximal, complemented
25#45750C212yesmaximal, complemented
26#45749C212yesmaximal, complemented
27#35468C211yesmaximal, characteristic, complemented
28#35453C211yesmaximal, characteristic, complemented
29#35380C212yesmaximal, complemented
30#35363C212yesmaximal, complemented
31#35092C212yesmaximal, complemented
32#35026C212yesmaximal, complemented
33#35008C212yesmaximal, complemented
34#34960C212yesmaximal, complemented
35C2×#2584C211yesmaximal, characteristic, complemented
36C2×#539C2212yes—
37C2×#539C2211yescharacteristic
38C22×#125C2211yescharacteristic
39C2×#520C2211yescharacteristic
40C22×C4×Q8C2211yescharacteristic
41#2864C2212yes—
42#2863C2212yes—
43#2860C2212yes—
44#2859C2212yes—
45#2857C2212yes—
46#2855C2212yes—
47#2855C2212yes—
48#2854C2212yes—
49#2854C2212yes—
50#2853C2212yes—
51#2853C2212yes—
52#2851C2212yes—
53#2845C2212yes—
54#2844C2212yes—
55#2844C2211yescharacteristic
56#2843C2212yes—
57#2843C2211yescharacteristic
58#2843C2212yes—
59#2841C2212yes—
60#2841C2212yes—
61#2841C2212yes—
62#2841C2212yes—
63#2841C2212yes—
64#2839C2212yes—
65#2839C2212yes—
66#2839C2212yes—
67#2839C2212yes—
68#2838C2212yes—
69#2838C2212yes—
70#2838C2212yes—
71#2838C2212yes—
72#2838C2212yes—
73#2838C2212yes—
74#2838C2212yes—
75#2838C2212yes—
76#2837C2212yes—
77#2837C2212yes—
78#2837C2212yes—
79#2836C2212yes—
80#2836C2212yes—
81#2836C2212yes—
82#2836C2212yes—
83#2835C2212yes—
84#2833C2211yescharacteristic
85#2833C2212yes—
86#2832C2212yes—
87#2832C2211yescharacteristic
88#2831C2212yes—
89#2830C2212yes—
90#2830C2211yescharacteristic
91#2830C2211yescharacteristic
92#2829C2212yes—
93#2827C2212yes—
94#2823C2211yescharacteristic
95#2822C2211yescharacteristic
96#2814C2212yes—
97#2811C2211yescharacteristic
98#2807C2212yes—
99#2807C2212yes—
100#2806C2212yes—
101#2806C2212yes—
102#2805C2212yes—
103#2803C2212yes—
104#2802C2212yes—
105#2802C2212yes—
106#2802C2212yes—
107#2802C2212yes—
108#2802C2212yes—
109#2802C2212yes—
110#2801C2212yes—
111#2800C2212yes—
112#2800C2212yes—
113#2798C2212yes—
114#2796C2212yes—
115#2792C2211yescharacteristic
116#2792C2212yes—
117#2792C2212yes—
118#2792C2212yes—
119#2792C2212yes—
120#2792C2211yescharacteristic
121#2792C2212yes—
122#2792C2212yes—
123#2791C2212yes—
124#2791C2212yes—
125#2790C2212yes—
126#2790C2212yes—
127#2788C2212yes—
128#2788C2212yes—
129#2785C2211yescharacteristic
130#2784C2212yes—
131#2784C2211yescharacteristic
132#2783C2212yes—
133#2783C2212yes—
134#2781C2212yes—
135#2780C2212yes—
136#2780C2212yes—
137#2779C2212yes—
138#2777C2212yes—
139#2776C2212yes—
140#2776C2212yes—
141#2774C2212yes—
142#2772C2212yes—
143#2772C2212yes—
144#2769C2211yescharacteristic
145#2768C2212yes—
146#2768C2212yes—
147#2766C2212yes—
148#2765C2212yes—
149#2763C2212yes—
150#2763C2212yes—
151#2763C2212yes—
152#2757C2212yes—
153#2755C2212yes—
154#2755C2212yes—
155#2742C2212yes—
156#2742C2212yes—
157#2742C2212yes—
158#2742C2212yes—
159#2739C2212yes—
160#2737C2212yes—
161#2737C2212yes—
162#2737C2212yes—
163#2734C2211yescharacteristic
164#2729C2212yes—
165#2725C2212yes—
166#2725C2212yes—
167#2713C2212yes—
168#2713C2212yes—
169#2705C2212yes—
170#2704C2212yes—
171#2704C2212yes—
172#2704C2212yes—
173#2704C2212yes—
174#2701C2212yes—
175#2699C2211yescharacteristic
176#2694C2212yes—
177#2691C2212yes—
178#2689C2212yes—
179#2687C2212yes—
180#2681C2212yes—
181#2664C2212yes—
182#2664C2212yes—
183#2663C2212yes—
184#2663C2212yes—
185#2655C2212yes—
186#2655C2212yes—
187#2652C2212yes—
188#2652C2212yes—
189#2627C2212yes—
190#2618C2212yes—
191#2614C2212yes—
192#2614C2212yes—
193#2611C2212yes—
194#2604C2212yes—
195#2602C2212yes—
196#2601C2212yes—
197#2596C2212yes—
198#2596C2212yes—
199#2594C2212yes—
200#2594C2212yes—
201#2591C2211yescharacteristic
202#2590C2212yes—
203#2590C2212yes—
204#2589C2212yes—
205#2588C2212yes—
206#2588C2212yes—
207#2587C2212yes—
208#2585C2212yes—
209#2585C2212yes—
210#2585C2212yes—
211#2585C2212yes—
212#2584C2212yes—
213#2584C2212yes—
214#2584C2212yes—
215#2584C2212yes—
216#2584C2212yes—
217#2584C2212yes—
218#2584C2212yes—
219#2584C2212yes—
220#2584C2212yes—
221#2583C2212yes—
222#2583C2211yescharacteristic
223#2579C2212yes—
224#2577C2212yes—
225#2575C2212yes—
226#2573C2212yes—
227#2573C2212yes—
228#2560C2212yes—
229#2558C2212yes—
230#2558C2212yes—
231#2558C2212yes—
232#2556C2212yes—
233#2556C2212yes—
234#2556C2212yes—
235#2556C2212yes—
236#2553C2212yes—
237#2553C2212yes—
238#2533C2212yes—
239#2528C2212yes—
240#2525C2212yes—
241#2519C2212yes—
242#2519C2212yes—
243#2509C2212yes—
244#2509C2212yes—
245#2506C2212yes—
246#2506C2212yes—
247#2506C2212yes—
248#2503C2211yescharacteristic
249#2503C2212yes—
250#2501C2211yescharacteristic
251#2501C2212yes—
252#2498C2212yes—
253#2496C2212yes—
254#2494C2212yes—
255#2493C2212yes—
256#2493C2212yes—
257#2493C2212yes—
258#2493C2212yes—
259#2488C2212yes—
260#2488C2212yes—
261#2488C2212yes—
262#2488C2212yes—
263#2486C2212yes—
264#2486C2212yes—
265#2486C2212yes—
266#2484C2212yes—
267#2484C2211yescharacteristic
268#2484C2211yescharacteristic
269#2481C2212yes—
270#2481C2212yes—
271#2478C2212yes—
272#2478C2212yes—
273#2475C2212yes—
274#2475C2212yes—
275#2475C2212yes—
276#2473C2212yes—
277#2473C2212yes—
278#2473C2212yes—
279#2473C2212yes—
280#2473C2212yes—
281#2470C2212yes—
282#2469C2212yes—
283#2469C2212yes—
284#2469C2212yes—
285#2469C2212yes—
286#2469C2212yes—
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#2462C2212yes—
300#2460C2212yes—
301#2460C2212yes—
302#2458C2212yes—
303#2458C2212yes—
304#2458C2212yes—
305#2458C2212yes—
306#2455C2212yes—
307#2453C2212yes—
308#2453C2212yes—
309#2452C2212yes—
310#2449C2212yes—
311#2449C2212yes—
312#2449C2212yes—
313#2443C2212yes—
314#2443C2212yes—
315#2442C2212yes—
316#2440C2212yes—
317#2438C2212yes—
318#2438C2212yes—
319#2430C2212yes—
320#2425C2212yes—
321#2425C2212yes—
322#2425C2212yes—
323#2425C2212yes—
324#2422C2212yes—
325#2421C2212yes—
326#2419C2212yes—
327#2419C2212yes—
328#2419C2212yes—
329#2419C2212yes—
330#2417C2212yes—
331#2416C2212yes—
332#2415C2212yes—
333#2413C2212yes—
334#2413C2212yes—
335#2413C2212yes—
336#2413C2212yes—
337#2413C2212yes—
338#2406C2212yes—
339#2406C2211yescharacteristic
340#2406C2211yescharacteristic
341#2402C2212yes—
342#2401C2212yes—
343#2396C2212yes—
344#2395C2212yes—
345C2×#398C2211yescharacteristic
346C2×#398C2211yescharacteristic
347C2×#395C2211yescharacteristic
348C2×#395C2211yescharacteristic
349#2383C2212yes—
350#2383C2212yes—
351#2382C2212yes—
352#2382C2212yes—
353#2378C2212yes—
354#2378C2212yes—
355#2376C2212yes—
356#2376C2212yes—
357#2322C2212yes—
358#2322C2212yes—
359#2322C2212yes—
360#2322C2212yes—
361#2313C2212yes—
362#2313C2211yescharacteristic
363C4×#125C2212yes—
364C4×#126C2212yes—
365C4×C22⋊Q8C2212yes—
366C4×C22⋊Q8C2212yes—
367C4×#123C2212yes—
368C4×#123C2212yes—
369C4×#123C2212yes—
370C4×#121C2212yes—
371C2×#389C2212yes—
372C2×#389C2212yes—
373C2×#389C2212yes—
374C2×#389C2212yes—
375#2290C2212yes—
376#2274C2211yescharacteristic
377C42×D4C2212yes—
378C2×C4×C4⋊C4C2211yescharacteristic
379C22×#41C2311yescharacteristic
380C23×Q8C2311yescharacteristic
381#539—48no—
382#539—44no—
383C2×C4⋊Q8C2312yes—
384C2×#126C2312yes—
385C2×#126C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#125—44no—
390C2×#125C2312yes—
391C2×#125C2312yes—
392C2×#125C2312yes—
393C2×#125C2312yes—
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
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×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427#520—44no—
428C2×C4×Q8—44no—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×#117C2312yes—
443C2×#117C2311yescharacteristic
444C2×#117C2312yes—
445C2×#117C2312yes—
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2311yescharacteristic
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2312yes—
452C22×C4⋊C4C2311yescharacteristic
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2311yescharacteristic
455C22×C4⋊C4C2312yes—
456C22×C4⋊C4C2312yes—
457C22×C4⋊C4C2311yescharacteristic
458C22×C4⋊C4C2312yes—
459C22×C4⋊C4C2312yes—
460C22×C42C2311yescharacteristic
461C22×C42C2312yes—
462C22×C42C2312yes—
463C22×C42C2312yes—
464#401C2312yes—
465#401C2312yes—
466#401C2312yes—
467#401C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2311yescharacteristic
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#400C2311yescharacteristic
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#398C2312yes—
529#398C2311yescharacteristic
530#398C2312yes—
531#398C2312yes—
532#398C2311yescharacteristic
533#398C2312yes—
534#398C2311yescharacteristic
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2311yescharacteristic
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#398C2311yescharacteristic
581#398C2312yes—
582#398C2311yescharacteristic
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#398C2312yes—
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#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#395C2311yescharacteristic
649#395C2312yes—
650#395C2311yescharacteristic
651#395C2312yes—
652#395C2311yescharacteristic
653#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2312yes—
664#395C2312yes—
665#395C2312yes—
666#395C2312yes—
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
670#395C2312yes—
671#395C2312yes—
672#395C2311yescharacteristic
673#395C2311yescharacteristic
674#395C2312yes—
675#395C2312yes—
676#395C2311yescharacteristic
677#395C2312yes—
678#395C2312yes—
679#395C2312yes—
680#395C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2311yescharacteristic
684#394C2312yes—
685#394C2312yes—
686#394C2311yescharacteristic
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#394C2312yes—
697#394C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#393C2312yes—
706#393C2312yes—
707#393C2312yes—
708#393C2312yes—
709#393C2312yes—
710#393C2312yes—
711#392C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2311yescharacteristic
716#391C2312yes—
717#391C2311yescharacteristic
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
729#390C2311yescharacteristic
730#390C2311yescharacteristic
731#390C2312yes—
732#390C2312yes—
733#390C2312yes—
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#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#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
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#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
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#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#384C2311yescharacteristic
1011#384C2312yes—
1012#384C2312yes—
1013#384C2311yescharacteristic
1014#384C2312yes—
1015#383C2312yes—
1016#383C2312yes—
1017#383C2312yes—
1018#383C2312yes—
1019#382C2312yes—
1020#382C2311yescharacteristic
1021#382C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#382C2311yescharacteristic
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#381C2311yescharacteristic
1031#381C2311yescharacteristic
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
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×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2311yescharacteristic
1087C4×C22⋊C4C2311yescharacteristic
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095#376C2312yes—
1096C2×#95C2311yescharacteristic
1097C2×#95C2311yescharacteristic
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C43C2312yes—
1103C2×#41—42no—
1104C2×#41—44no—
1105C22×Q8—42no—
1106C22×Q8—44no—
1107C22×Q8C2412yes—
1108C22×Q8C2412yes—
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2411yescharacteristic
1112C22×Q8C2412yes—
1113C22×Q8C2411yescharacteristic
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2411yescharacteristic
1118C22×D4C2411yescharacteristic
1119C22×D4C2412yes—
1120C23×C4C2411yescharacteristic
1121C23×C4C2411yescharacteristic
1122C23×C4C2411yescharacteristic
1123C23×C4C2411yescharacteristic
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2411yescharacteristic
1128C23×C4C2411yescharacteristic
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2411yescharacteristic
1137C4⋊Q8—82no—
1138#126—28no—
1139#126—44no—
1140#126—44no—
1141#126—44no—
1142#126—82no—
1143#125—28no—
1144#125—44no—
1145#125—44no—
1146#125—44no—
1147#125—44no—
1148#125—44no—
1149#125—44no—
1150#125—44no—
1151#125—82no—
1152#125—82no—
1153#123—28no—
1154#123—44no—
1155#123—44no—
1156#123—44no—
1157#123—44no—
1158#123—44no—
1159#123—44no—
1160#123—44no—
1161#123—44no—
1162#123—44no—
1163#123—44no—
1164#123—44no—
1165#123—44no—
1166#123—82no—
1167C22⋊Q8—28no—
1168C22⋊Q8—44no—
1169C22⋊Q8—44no—
1170C22⋊Q8—42no—
1171C22⋊Q8—44no—
1172C22⋊Q8—44no—
1173C22⋊Q8—44no—
1174C22⋊Q8—82no—
1175C22⋊Q8—82no—
1176#121—44no—
1177#121—44no—
1178#121—42no—
1179#121—82no—
1180C4×Q8—44no—
1181C4×Q8—44no—
1182C4×Q8—44no—
1183C4×Q8—44no—
1184C4×Q8—44no—
1185C4×Q8—82no—
1186C4×D4—28no—
1187C4×D4—28no—
1188C4×D4—44no—
1189C4×D4—44no—
1190C4×D4—44no—
1191C4×D4—44no—
1192C4×D4—82no—
1193#117—44no—
1194#117—44no—
1195#117—42no—
1196#117—82no—
1197C2×C4⋊C4—28no—
1198C2×C4⋊C4—24no—
1199C2×C4⋊C4—24no—
1200C2×C4⋊C4—28no—
1201C2×C4⋊C4—44no—
1202C2×C4⋊C4—44no—
1203C2×C4⋊C4—44no—
1204C2×C4⋊C4—42no—
1205C2×C4⋊C4—42no—
1206C2×C4⋊C4—42no—
1207C2×C4⋊C4—42no—
1208C2×C4⋊C4—42no—
1209C2×C4⋊C4—82no—
1210C2×C4⋊C4—82no—
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⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2411yescharacteristic
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2411yescharacteristic
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2411yescharacteristic
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2411yescharacteristic
1248C2×C4⋊C4C2411yescharacteristic
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2411yescharacteristic
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⋊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⋊C4C2412yes—
1288C2×C4⋊C4C2411yescharacteristic
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×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⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×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×C42—24no—
1375C2×C42—44no—
1376C2×C42—82no—
1377C2×C42—82no—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2411yescharacteristic
1400C2×C42C2412yes—
1401C2×C42C2411yescharacteristic
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2411yescharacteristic
1407C2×C42C2411yescharacteristic
1408#95C2412yes—
1409#95C2412yes—
1410#95C2411yescharacteristic
1411#95C2411yescharacteristic
1412#95C2411yescharacteristic
1413#95C2411yescharacteristic
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#95C2411yescharacteristic
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#95C2411yescharacteristic
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2411yescharacteristic
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2411yescharacteristic
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—
1528C24C2512yes—
1529C24C2512yes—
1530C24C2511yescharacteristic
1531#41—416no—
1532C2×Q8—24no—
1533C2×Q8—42no—
1534C2×Q8—41no—
1535C2×Q8—41no—
1536C2×Q8—41no—
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—41no—
1546C2×Q8—42no—
1547C2×Q8—41no—
1548C2×Q8—41no—
1549C2×Q8—42no—
1550C2×Q8—416no—
1551C2×D4—24no—
1552C2×D4—24no—
1553C2×D4—24no—
1554C2×D4—24no—
1555C2×D4—24no—
1556C2×D4—24no—
1557C2×D4—24no—
1558C2×D4—41no—
1559C2×D4—42no—
1560C2×D4—42no—
1561C2×D4—42no—
1562C2×D4—42no—
1563C2×D4—41no—
1564C2×D4—41no—
1565C2×D4—42no—
1566C2×D4—41no—
1567C2×D4—42no—
1568C22×C4—22no—
1569C22×C4—24no—
1570C22×C4—22no—
1571C22×C4—24no—
1572C22×C4—22no—
1573C22×C4—22no—
1574C22×C4—24no—
1575C22×C4—24no—
1576C22×C4—24no—
1577C22×C4—24no—
1578C22×C4—24no—
1579C22×C4—24no—
1580C22×C4—24no—
1581C22×C4—24no—
1582C22×C4—22no—
1583C22×C4—22no—
1584C22×C4—24no—
1585C22×C4—24no—
1586C22×C4—24no—
1587C22×C4—24no—
1588C22×C4—24no—
1589C22×C4—24no—
1590C22×C4—41no—
1591C22×C4—42no—
1592C22×C4—42no—
1593C22×C4—42no—
1594C22×C4—41no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—41no—
1601C22×C4—41no—
1602C22×C4—42no—
1603C22×C4—42no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—41no—
1609C22×C4—41no—
1610C22×C4—42no—
1611C22×C4—42no—
1612C22×C4—42no—
1613C22×C4—42no—
1614C22×C4H(5,𝔽2)14yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2512yes—
1620C22×C4C2512yes—
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2511yescharacteristic
1628C22×C4C2511yescharacteristic
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2511yescharacteristic
1634C22×C4C2512yes—
1635C22×C4C2511yescharacteristic
1636C22×C4C2512yes—
1637C22×C4C2511yescharacteristic
1638C22×C4C2512yes—
1639C22×C4C2511yescharacteristic
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—24no—
1652C4⋊C4—24no—
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—41no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—42no—
1680C4⋊C4—41no—
1681C4⋊C4—42no—
1682C4⋊C4—41no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—41no—
1688C4⋊C4—41no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—41no—
1692C4⋊C4—41no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—41no—
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—41no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—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—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C42−1+418yes—
1756C22⋊C4—24no—
1757C22⋊C4—24no—
1758C22⋊C4—24no—
1759C22⋊C4—24no—
1760C22⋊C4—24no—
1761C22⋊C4—24no—
1762C22⋊C4—24no—
1763C22⋊C4—24no—
1764C22⋊C4—24no—
1765C22⋊C4—24no—
1766C22⋊C4—24no—
1767C22⋊C4—24no—
1768C22⋊C4—24no—
1769C22⋊C4—24no—
1770C22⋊C4—24no—
1771C22⋊C4—24no—
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—
1809C22⋊C4—42no—
1810C42—24no—
1811C42—24no—
1812C42—24no—
1813C42—24no—
1814C42—24no—
1815C42—24no—
1816C42—42no—
1817C42—42no—
1818C42—42no—
1819C42—42no—
1820C42—42no—
1821C42—42no—
1822C42—42no—
1823C42—42no—
1824C42—42no—
1825C42—42no—
1826C42—42no—
1827C42—42no—
1828C42—42no—
1829C42—41no—
1830C42—41no—
1831C42—42no—
1832C42—42no—
1833C42—42no—
1834C42—42no—
1835C42—42no—
1836C42—42no—
1837C42—42no—
1838C42—41no—
1839C42—41no—
1840C23—22no—
1841C23—21no—
1842C23—21no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23—22no—
1847C23—22no—
1848C23—22no—
1849C23—22no—
1850C23—22no—
1851C23—22no—
1852C23—22no—
1853C23—22no—
1854C23—22no—
1855C23—22no—
1856C23—22no—
1857C23C2×H(5,𝔽2)12yes—
1858C23#58514yes—
1859C23C2611yescharacteristic
1860Q8—48no—
1861Q8—44no—
1862Q8—44no—
1863Q8—44no—
1864Q8—84no—
1865Q8—162no—
1866Q8—161no—
1867D4—44no—
1868D4—48no—
1869D4—48no—
1870D4—84no—
1871D4—162no—
1872D4—161no—
1873C2×C4—28no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—21no—
1883C2×C4—21no—
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—21no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—21no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—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—21no—
1946C2×C4—21no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—21no—
1955C2×C4—22no—
1956C2×C4—21no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—44no—
1963C2×C4—48no—
1964C2×C4—48no—
1965C2×C4—48no—
1966C2×C4—44no—
1967C2×C4—44no—
1968C2×C4—48no—
1969C2×C4—44no—
1970C2×C4—84no—
1971C2×C4—84no—
1972C2×C4—84no—
1973C2×C4—84no—
1974C2×C4—82no—
1975C2×C4—84no—
1976C2×C4—82no—
1977C2×C4—162no—
1978C2×C4C2×H(5,𝔽2)14yes—
1979C2×C4C2×2−1+414yes—
1980C2×C4C2×2−1+414yes—
1981C2×C4C2×2−1+414yes—
1982C22—22no—
1983C22—22no—
1984C22—24no—
1985C22—24no—
1986C22—42no—
1987C22—42no—
1988C22—42no—
1989C22—42no—
1990C22—42no—
1991C22—42no—
1992C22—42no—
1993C22—42no—
1994C22—42no—
1995C22—42no—
1996C22—42no—
1997C22—42no—
1998C22—42no—
1999C22—42no—
2000C22#352914yes—
2001C22C22×H(5,𝔽2)11yescharacteristic
2002C22C22×2−1+412yes—
2003C22C2×#58512yes—
2004C22H(7,𝔽2)11yescharacteristic
2005C222−1+611yescharacteristic
2006C4—24no—
2007C4—24no—
2008C4—24no—
2009C4—24no—
2010C4—42no—
2011C4—42no—
2012C4—42no—
2013C4—42no—
2014C4—42no—
2015C4—41no—
2016C4—42no—
2017C4—41no—
2018C4—42no—
2019C4—42no—
2020C4—41no—
2021C4—42no—
2022C4—41no—
2023C4—41no—
2024C4—41no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C4—42no—
2037C4—42no—
2038C2—24no—
2039C2—82no—
2040C2—82no—
2041C2C2×#352911yescharacteristic
2042C2#6283311yescharacteristic
2043C2#6286611yescharacteristic
2044C2#6294812yes—
2045C2#6294912yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#52549C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #52914C2semidirect
2. #52913C2semidirect
3. #52913C2semidirect
4. #52814C2semidirect
5. #52812C2semidirect
6. #52780C2semidirect
7. #52778C2semidirect
8. #52568C2semidirect
9. #52555C2semidirect
10. #52554C2semidirect
11. #52550C2semidirect
13. #52535C2semidirect
14. #52534C2semidirect
15. #46115C2semidirect
16. #46111C2semidirect
17. #46009C2semidirect
18. #46003C2semidirect
19. #45907C2semidirect
20. #45899C2semidirect
21. #45798C2semidirect
22. #45795C2semidirect
23. #45752C2semidirect
24. #45751C2semidirect
25. #45750C2semidirect
26. #45749C2semidirect
27. #35468C2semidirect
28. #35453C2semidirect
29. #35380C2semidirect
30. #35363C2semidirect
31. #35092C2semidirect
32. #35026C2semidirect
33. #35008C2semidirect
34. #34960C2semidirect
35. C2×#2584C2semidirect

Maximal subgroups

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

subgroupindex
#529142
#529132
#528142
#528122
#527802
#527782
#525682
#525552
#525542
#525502
#525492
#525352
#525342
#461152
#461112
#460092
#460032
#459072
#458992
#457982
#457952
#457522
#457512
#457502
#457492
#354682
#354532
#353802
#353632
#350922
#350262
#350082
#349602
C2×#25842