Finite Group Databasebeta

← #8901452

Subgroups — #8901452

Order 512.

4306 conjugacy classes of subgroups.

The subgroup lattice has 2046 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58766C212yesmaximal, complemented
2#58750C211yesmaximal, characteristic, complemented
3#58612C212yesmaximal, complemented
4#58589C211yesmaximal, characteristic, complemented
5#57775C212yesmaximal, complemented
6#57681C212yesmaximal, complemented
7#56600C211yesmaximal, characteristic, complemented
8#56487C211yesmaximal, characteristic
9#49143C212yesmaximal, complemented
10#49033C212yesmaximal, complemented
11#48744C212yesmaximal, complemented
12#48540C212yesmaximal, complemented
13#48517C212yesmaximal, complemented
14#48203C212yesmaximal, complemented
15#47731C212yesmaximal, complemented
16#47605C212yesmaximal, complemented
17#47144C212yesmaximal, complemented
18#47142C212yesmaximal, complemented
19#47107C212yesmaximal, complemented
20#47022C212yesmaximal, complemented
21#47009C212yesmaximal, complemented
22#46821C212yesmaximal, complemented
23#46383C212yesmaximal, complemented
24#40397C212yesmaximal, complemented
25#40077C212yesmaximal, complemented
26#39686C212yesmaximal, complemented
27#39639C212yesmaximal, complemented
28#38777C212yesmaximal, complemented
29#38757C212yesmaximal, complemented
30#37364C212yesmaximal, complemented
31#36968C211yesmaximal, characteristic, complemented
32#35640C211yesmaximal, characteristic, complemented
33#35453C211yesmaximal, characteristic, complemented
34#35431C212yesmaximal, complemented
35#35363C212yesmaximal, complemented
36C2×#544C2211yescharacteristic
37C2×#539C2212yes—
38C2×#539C2211yescharacteristic
39C22×#125C2211yescharacteristic
40C2×#520C2211yescharacteristic
41#2857C2212yes—
42#2855C2212yes—
43#2855C2211yescharacteristic
44#2854C2211yescharacteristic
45#2843C2212yes—
46#2843C2211yescharacteristic
47#2843C2211yescharacteristic
48#2841C2212yes—
49#2839C2212yes—
50#2839C2212yes—
51#2838C2212yes—
52#2833C2211yescharacteristic
53#2832C2211yescharacteristic
54#2831C2212yes—
55#2814C2212yes—
56#2811C2211yescharacteristic
57#2810C2212yes—
58#2809C2211yescharacteristic
59#2809C2212yes—
60#2809C2212yes—
61#2809C2212yes—
62#2807C2212yes—
63#2802C2212yes—
64#2802C2212yes—
65#2802C2212yes—
66#2802C2212yes—
67#2802C2212yes—
68#2802C2212yes—
69#2802C2212yes—
70#2796C2212yes—
71#2795C2211yescharacteristic
72#2794C2211yescharacteristic
73#2793C2212yes—
74#2792C2212yes—
75#2792C2212yes—
76#2792C2211yescharacteristic
77#2791C2212yes—
78#2791C2212yes—
79#2791C2212yes—
80#2790C2212yes—
81#2790C2212yes—
82#2788C2212yes—
83#2787C2212yes—
84#2787C2212yes—
85#2787C2212yes—
86#2787C2212yes—
87#2787C2212yes—
88#2783C2212yes—
89#2777C2212yes—
90#2776C2212yes—
91#2776C2212yes—
92#2776C2212yes—
93#2774C2212yes—
94#2774C2212yes—
95#2774C2212yes—
96#2772C2212yes—
97#2771C2212yes—
98#2771C2212yes—
99#2770C2212yes—
100#2766C2212yes—
101#2766C2212yes—
102#2765C2212yes—
103#2764C2212yes—
104#2764C2212yes—
105#2764C2212yes—
106#2763C2212yes—
107#2762C2212yes—
108#2761C2212yes—
109#2759C2212yes—
110#2759C2212yes—
111#2755C2212yes—
112#2755C2212yes—
113#2751C2212yes—
114#2750C2212yes—
115#2745C2212yes—
116#2745C2212yes—
117#2742C2212yes—
118#2742C2212yes—
119#2739C2212yes—
120#2739C2212yes—
121#2738C2212yes—
122#2738C2212yes—
123#2729C2212yes—
124#2729C2212yes—
125#2728C2211yescharacteristic
126#2728C2211yescharacteristic
127#2726C2212yes—
128#2726C2212yes—
129#2726C2212yes—
130#2726C2212yes—
131#2726C2212yes—
132#2725C2212yes—
133#2725C2212yes—
134#2725C2212yes—
135#2724C2212yes—
136#2722C2212yes—
137#2721C2212yes—
138#2720C2212yes—
139#2718C2212yes—
140#2718C2212yes—
141#2718C2212yes—
142#2716C2212yes—
143#2713C2212yes—
144#2707C2212yes—
145#2707C2212yes—
146#2707C2212yes—
147#2704C2212yes—
148#2704C2212yes—
149#2704C2212yes—
150#2704C2212yes—
151#2701C2212yes—
152#2701C2212yes—
153#2695C2212yes—
154#2695C2212yes—
155#2691C2212yes—
156#2690C2212yes—
157#2689C2212yes—
158#2689C2212yes—
159#2689C2212yes—
160#2689C2212yes—
161#2689C2212yes—
162#2687C2212yes—
163#2687C2212yes—
164#2687C2212yes—
165#2687C2212yes—
166#2687C2212yes—
167#2687C2212yes—
168#2681C2212yes—
169#2681C2212yes—
170#2681C2212yes—
171#2680C2212yes—
172#2680C2212yes—
173#2680C2211yescharacteristic
174#2680C2212yes—
175#2671C2212yes—
176#2655C2212yes—
177#2655C2212yes—
178#2654C2212yes—
179#2653C2212yes—
180#2653C2212yes—
181#2652C2212yes—
182#2649C2212yes—
183#2647C2212yes—
184#2646C2212yes—
185#2646C2212yes—
186#2645C2212yes—
187#2638C2212yes—
188#2627C2212yes—
189#2627C2212yes—
190#2627C2211yescharacteristic
191#2618C2211yescharacteristic
192#2611C2212yes—
193#2606C2212yes—
194#2606C2212yes—
195#2604C2212yes—
196#2602C2212yes—
197#2601C2212yes—
198#2599C2212yes—
199#2597C2212yes—
200#2597C2212yes—
201#2593C2212yes—
202#2590C2212yes—
203#2590C2212yes—
204#2589C2212yes—
205#2589C2212yes—
206#2587C2212yes—
207#2586C2211yescharacteristic
208#2586C2212yes—
209#2585C2212yes—
210#2585C2212yes—
211#2585C2212yes—
212#2584C2212yes—
213#2583C2212yes—
214#2583C2211yescharacteristic
215#2583C2211yescharacteristic
216#2582C2211yescharacteristic
217#2582C2212yes—
218#2581C2212yes—
219#2579C2212yes—
220#2579C2212yes—
221#2576C2212yes—
222#2573C2212yes—
223#2573C2212yes—
224#2573C2212yes—
225#2572C2212yes—
226#2572C2211yescharacteristic
227#2560C2212yes—
228#2558C2212yes—
229#2558C2212yes—
230#2553C2212yes—
231#2552C2212yes—
232#2552C2212yes—
233#2552C2212yes—
234#2552C2212yes—
235#2552C2212yes—
236#2550C2212yes—
237#2550C2212yes—
238#2550C2212yes—
239#2550C2212yes—
240#2549C2212yes—
241#2537C2211yescharacteristic
242#2533C2212yes—
243#2532C2212yes—
244#2532C2212yes—
245#2527C2212yes—
246#2526C2212yes—
247#2525C2212yes—
248#2522C2212yes—
249#2522C2212yes—
250#2516C2212yes—
251#2515C2212yes—
252#2515C2212yes—
253#2515C2212yes—
254#2515C2212yes—
255#2511C2212yes—
256#2511C2212yes—
257#2507C2212yes—
258#2507C2212yes—
259#2507C2212yes—
260#2506C2212yes—
261#2505C2212yes—
262#2505C2212yes—
263#2502C2211yescharacteristic
264#2502C2212yes—
265#2502C2211yescharacteristic
266#2502C2212yes—
267#2502C2212yes—
268#2497C2212yes—
269#2496C2212yes—
270#2494C2212yes—
271#2486C2212yes—
272#2486C2212yes—
273#2485C2212yes—
274#2484C2211yescharacteristic
275#2484C2211yescharacteristic
276#2478C2212yes—
277#2478C2212yes—
278#2477C2212yes—
279#2477C2212yes—
280#2476C2212yes—
281#2475C2212yes—
282#2475C2212yes—
283#2475C2212yes—
284#2473C2212yes—
285#2473C2212yes—
286#2473C2212yes—
287#2473C2212yes—
288#2473C2212yes—
289#2471C2212yes—
290#2470C2212yes—
291#2470C2212yes—
292#2470C2212yes—
293#2470C2212yes—
294#2468C2212yes—
295#2468C2212yes—
296#2468C2212yes—
297#2466C2212yes—
298#2465C2212yes—
299#2465C2212yes—
300#2465C2212yes—
301#2462C2212yes—
302#2462C2212yes—
303#2462C2212yes—
304#2460C2212yes—
305#2460C2212yes—
306#2460C2212yes—
307#2458C2212yes—
308#2458C2212yes—
309#2457C2212yes—
310#2455C2212yes—
311#2455C2212yes—
312#2452C2212yes—
313#2452C2212yes—
314#2451C2212yes—
315#2450C2212yes—
316#2449C2212yes—
317#2449C2212yes—
318#2446C2212yes—
319#2446C2212yes—
320#2443C2212yes—
321#2440C2212yes—
322#2439C2212yes—
323#2439C2212yes—
324#2438C2212yes—
325#2438C2212yes—
326#2430C2212yes—
327#2429C2212yes—
328#2429C2212yes—
329#2425C2212yes—
330#2425C2212yes—
331#2422C2212yes—
332#2422C2212yes—
333#2422C2212yes—
334#2421C2212yes—
335#2419C2212yes—
336#2419C2212yes—
337#2417C2212yes—
338#2415C2212yes—
339#2413C2212yes—
340#2413C2212yes—
341#2413C2212yes—
342#2406C2212yes—
343#2406C2211yescharacteristic
344#2406C2211yescharacteristic
345#2383C2212yes—
346#2376C2212yes—
347#2373C2212yes—
348#2368C2212yes—
349#2363C2212yes—
350#2360C2212yes—
351#2360C2212yes—
352#2349C2212yes—
353#2336C2212yes—
354#2336C2212yes—
355#2335C2212yes—
356#2332C2212yes—
357#2330C2212yes—
358#2329C2212yes—
359#2329C2212yes—
360#2329C2212yes—
361#2323C2212yes—
362#2323C2212yes—
363#2322C2212yes—
364#2322C2212yes—
365#2322C2212yes—
366#2322C2212yes—
367#2322C2212yes—
368#2317C2212yes—
369#2316C2211yescharacteristic
370#2313C2211yescharacteristic
371C4×C22⋊Q8C2212yes—
372C4×#123C2212yes—
373C4×#123C2212yes—
374C4×#121C2212yes—
375#2296C2212yes—
376C2×#389C2212yes—
377#2290C2212yes—
378#2274C2211yescharacteristic
379C22×#41C2311yescharacteristic
380#544—44no—
381#539—44no—
382#539—48no—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#125—44no—
392C2×#125C2312yes—
393C2×#125C2312yes—
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
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×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
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×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434#520—44no—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C2×#117C2311yescharacteristic
451C2×#117C2312yes—
452C2×#117C2312yes—
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2311yescharacteristic
455C22×C4⋊C4C2311yescharacteristic
456C22×C4⋊C4C2311yescharacteristic
457C22×C4⋊C4C2311yescharacteristic
458C22×C4⋊C4C2312yes—
459C22×C4⋊C4C2312yes—
460C22×C4⋊C4C2312yes—
461C22×C4⋊C4C2311yescharacteristic
462C22×C4⋊C4C2312yes—
463C22×C42C2311yescharacteristic
464C22×C42C2312yes—
465#401C2312yes—
466#401C2312yes—
467#401C2312yes—
468#401C2312yes—
469#400C2312yes—
470#400C2311yescharacteristic
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2311yescharacteristic
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2311yescharacteristic
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#400C2311yescharacteristic
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2311yescharacteristic
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2311yescharacteristic
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#398C2311yescharacteristic
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#398C2311yescharacteristic
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
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#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#395C2312yes—
640#395C2311yescharacteristic
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2311yescharacteristic
652#395C2311yescharacteristic
653#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2311yescharacteristic
657#395C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2311yescharacteristic
661#394C2312yes—
662#394C2312yes—
663#394C2311yescharacteristic
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2311yescharacteristic
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2311yescharacteristic
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#393C2312yes—
679#393C2312yes—
680#393C2312yes—
681#393C2312yes—
682#393C2312yes—
683#393C2312yes—
684#393C2312yes—
685#393C2312yes—
686#393C2312yes—
687#393C2312yes—
688#392C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2311yescharacteristic
692#391C2312yes—
693#391C2311yescharacteristic
694#391C2311yescharacteristic
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2311yescharacteristic
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
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#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#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#388C2312yes—
849#388C2312yes—
850#388C2312yes—
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#387C2312yes—
938#387C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
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#384C2312yes—
1008#384C2312yes—
1009#384C2312yes—
1010#384C2311yescharacteristic
1011#384C2312yes—
1012#384C2311yescharacteristic
1013#384C2311yescharacteristic
1014#384C2312yes—
1015#384C2312yes—
1016#384C2312yes—
1017#384C2311yescharacteristic
1018#383C2312yes—
1019#383C2312yes—
1020#383C2312yes—
1021#383C2312yes—
1022#383C2312yes—
1023#383C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#381C2311yescharacteristic
1030#381C2311yescharacteristic
1031#381C2312yes—
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#380C2311yescharacteristic
1045#380C2311yescharacteristic
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—
1059#380C2312yes—
1060#380C2312yes—
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×C4⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2311yescharacteristic
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2311yescharacteristic
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098#376C2312yes—
1099#376C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C2×#41—42no—
1104C2×#41—44no—
1105C22×Q8C2412yes—
1106C22×Q8C2412yes—
1107C22×Q8C2412yes—
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2411yescharacteristic
1112C22×D4C2412yes—
1113C22×D4C2411yescharacteristic
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2411yescharacteristic
1118C23×C4C2411yescharacteristic
1119C23×C4C2412yes—
1120C23×C4C2411yescharacteristic
1121C23×C4C2411yescharacteristic
1122C23×C4C2411yescharacteristic
1123C23×C4C2412yes—
1124C23×C4C2412yes—
1125C23×C4C2411yescharacteristic
1126C23×C4C2412yes—
1127C23×C4C2411yescharacteristic
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2411yescharacteristic
1135C4⋊Q8—44no—
1136C4⋊Q8—44no—
1137C4⋊Q8—82no—
1138#126—44no—
1139#126—44no—
1140#126—44no—
1141#126—44no—
1142#126—44no—
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—44no—
1152#125—44no—
1153#123—28no—
1154#123—28no—
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—82no—
1165#123—82no—
1166C22⋊Q8—28no—
1167C22⋊Q8—28no—
1168C22⋊Q8—28no—
1169C22⋊Q8—44no—
1170C22⋊Q8—44no—
1171C22⋊Q8—44no—
1172C22⋊Q8—42no—
1173C22⋊Q8—42no—
1174C22⋊Q8—42no—
1175C22⋊Q8—44no—
1176C22⋊Q8—44no—
1177C22⋊Q8—44no—
1178C22⋊Q8—82no—
1179C22⋊Q8—82no—
1180C22⋊Q8—82no—
1181#121—44no—
1182#121—44no—
1183#121—44no—
1184#121—42no—
1185C4×Q8—44no—
1186C4×Q8—82no—
1187C4×Q8—82no—
1188C4×Q8—82no—
1189C4×D4—28no—
1190C4×D4—44no—
1191C4×D4—44no—
1192C4×D4—44no—
1193C4×D4—44no—
1194C4×D4—44no—
1195C4×D4—82no—
1196C4×D4—82no—
1197#117—28no—
1198#117—44no—
1199#117—42no—
1200#117—44no—
1201#117—82no—
1202#117—82no—
1203C2×C4⋊C4—24no—
1204C2×C4⋊C4—24no—
1205C2×C4⋊C4—24no—
1206C2×C4⋊C4—44no—
1207C2×C4⋊C4—44no—
1208C2×C4⋊C4—44no—
1209C2×C4⋊C4—42no—
1210C2×C4⋊C4—42no—
1211C2×C4⋊C4—42no—
1212C2×C4⋊C4—82no—
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⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2411yescharacteristic
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2411yescharacteristic
1249C2×C4⋊C4C2411yescharacteristic
1250C2×C4⋊C4C2411yescharacteristic
1251C2×C4⋊C4C2411yescharacteristic
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2411yescharacteristic
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2411yescharacteristic
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2411yescharacteristic
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⋊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×C4⋊C4C2412yes—
1321C2×C4⋊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×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C42—42no—
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×C42C2411yescharacteristic
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2411yescharacteristic
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2411yescharacteristic
1407C2×C42C2411yescharacteristic
1408#95C2412yes—
1409#95C2412yes—
1410#95C2412yes—
1411#95C2412yes—
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#95C2411yescharacteristic
1483#95C2411yescharacteristic
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2411yescharacteristic
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2411yescharacteristic
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#95C2411yescharacteristic
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—
1529C24C2511yescharacteristic
1530C24C2512yes—
1531#41—416no—
1532C2×Q8—24no—
1533C2×Q8—24no—
1534C2×Q8—24no—
1535C2×Q8—41no—
1536C2×Q8—42no—
1537C2×Q8—42no—
1538C2×Q8—42no—
1539C2×Q8—42no—
1540C2×Q8—42no—
1541C2×Q8—42no—
1542C2×Q8—42no—
1543C2×Q8—41no—
1544C2×Q8—41no—
1545C2×Q8—41no—
1546C2×Q8—42no—
1547C2×Q8—41no—
1548C2×Q8—41no—
1549C2×Q8—41no—
1550C2×Q8—41no—
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—42no—
1564C2×D4—42no—
1565C2×D4—41no—
1566C2×D4—42no—
1567C22×C4—22no—
1568C22×C4—24no—
1569C22×C4—22no—
1570C22×C4—24no—
1571C22×C4—24no—
1572C22×C4—22no—
1573C22×C4—22no—
1574C22×C4—22no—
1575C22×C4—22no—
1576C22×C4—24no—
1577C22×C4—24no—
1578C22×C4—24no—
1579C22×C4—24no—
1580C22×C4—24no—
1581C22×C4—42no—
1582C22×C4—42no—
1583C22×C4—41no—
1584C22×C4—41no—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—42no—
1592C22×C4—42no—
1593C22×C4—42no—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—41no—
1597C22×C4—41no—
1598C22×C4—42no—
1599C22×C4—41no—
1600C22×C4—41no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—42no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—42no—
1612C22×C4—42no—
1613C22×C4H(5,𝔽2)14yes—
1614C22×C4C2512yes—
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×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2511yescharacteristic
1631C22×C4C2512yes—
1632C22×C4C2511yescharacteristic
1633C22×C4C2512yes—
1634C22×C4C2511yescharacteristic
1635C22×C4C2511yescharacteristic
1636C22×C4C2511yescharacteristic
1637C22×C4C2511yescharacteristic
1638C22×C4C2512yes—
1639C22×C4C2512yes—
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C4⋊C4—24no—
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—41no—
1670C4⋊C4—42no—
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—42no—
1681C4⋊C4—41no—
1682C4⋊C4—41no—
1683C4⋊C4—41no—
1684C4⋊C4—41no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—41no—
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—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—41no—
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—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—41no—
1729C4⋊C4—41no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—41no—
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⋊C42−1+418yes—
1755C22⋊C4—24no—
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—24no—
1773C22⋊C4—24no—
1774C22⋊C4—24no—
1775C22⋊C4—24no—
1776C22⋊C4—24no—
1777C22⋊C4—24no—
1778C22⋊C4—24no—
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—42no—
1814C42—42no—
1815C42—42no—
1816C42—42no—
1817C42—42no—
1818C42—42no—
1819C42—42no—
1820C42—41no—
1821C42—41no—
1822C42—42no—
1823C42—42no—
1824C42—42no—
1825C42—42no—
1826C42—42no—
1827C42—42no—
1828C42—42no—
1829C42—42no—
1830C42—42no—
1831C42—42no—
1832C42—42no—
1833C42—41no—
1834C42—41no—
1835C42—42no—
1836C42—42no—
1837C42—42no—
1838C42—42no—
1839C23—22no—
1840C23—22no—
1841C23—22no—
1842C23—22no—
1843C23—22no—
1844C23—22no—
1845C23—21no—
1846C23—22no—
1847C23—22no—
1848C23—21no—
1849C23—22no—
1850C23—22no—
1851C23—22no—
1852C23—22no—
1853C23—22no—
1854C23—22no—
1855C23—22no—
1856C23C2×H(5,𝔽2)12yes—
1857C23#58514yes—
1858C23C2611yescharacteristic
1859Q8—44no—
1860Q8—84no—
1861Q8—84no—
1862Q8—84no—
1863Q8—161no—
1864Q8—161no—
1865Q8—161no—
1866D4—48no—
1867D4—48no—
1868D4—44no—
1869D4—84no—
1870D4—84no—
1871D4—161no—
1872C2×C4—28no—
1873C2×C4—22no—
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—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—21no—
1888C2×C4—21no—
1889C2×C4—21no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—21no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—22no—
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—21no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—21no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—21no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—21no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—44no—
1962C2×C4—48no—
1963C2×C4—44no—
1964C2×C4—48no—
1965C2×C4—84no—
1966C2×C4—84no—
1967C2×C4—84no—
1968C2×C4—84no—
1969C2×C4—82no—
1970C2×C4—82no—
1971C2×C4—82no—
1972C2×C4—82no—
1973C2×C4—162no—
1974C2×C4—162no—
1975C2×C4—162no—
1976C2×C4—162no—
1977C2×C4C2×H(5,𝔽2)14yes—
1978C2×C4C2×2−1+414yes—
1979C2×C4C2×2−1+414yes—
1980C2×C4C2×2−1+414yes—
1981C22—22no—
1982C22—24no—
1983C22—22no—
1984C22—22no—
1985C22—24no—
1986C22—24no—
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—
2000C22C22×H(5,𝔽2)11yescharacteristic
2001C22C22×2−1+412yes—
2002C22C2×#58512yes—
2003C22H(7,𝔽2)11yescharacteristic
2004C222−1+611yescharacteristic
2005C4—24no—
2006C4—24no—
2007C4—24no—
2008C4—24no—
2009C4—41no—
2010C4—42no—
2011C4—41no—
2012C4—42no—
2013C4—42no—
2014C4—42no—
2015C4—41no—
2016C4—41no—
2017C4—42no—
2018C4—42no—
2019C4—42no—
2020C4—42no—
2021C4—42no—
2022C4—41no—
2023C4—41no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C4—42no—
2037C2—42no—
2038C2—44no—
2039C2—82no—
2040C2#6282111yescharacteristic
2041C2#6283311yescharacteristic
2042C2#6286611yescharacteristic
2043C2#6294812yes—
2044C2#6294912yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#56487C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58766C2semidirect
2. #58750C2semidirect
3. #58612C2semidirect
4. #58589C2semidirect
5. #57775C2semidirect
6. #57681C2semidirect
7. #56600C2semidirect
9. #49143C2semidirect
10. #49033C2semidirect
11. #48744C2semidirect
12. #48540C2semidirect
13. #48517C2semidirect
14. #48203C2semidirect
15. #47731C2semidirect
16. #47605C2semidirect
17. #47144C2semidirect
18. #47142C2semidirect
19. #47107C2semidirect
20. #47022C2semidirect
21. #47009C2semidirect
22. #46821C2semidirect
23. #46383C2semidirect
24. #40397C2semidirect
25. #40077C2semidirect
26. #39686C2semidirect
27. #39639C2semidirect
28. #38777C2semidirect
29. #38757C2semidirect
30. #37364C2semidirect
31. #36968C2semidirect
32. #35640C2semidirect
33. #35453C2semidirect
34. #35431C2semidirect
35. #35363C2semidirect

Maximal subgroups

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

subgroupindex
#587662
#587502
#586122
#585892
#577752
#576812
#566002
#564872
#491432
#490332
#487442
#485402
#485172
#482032
#477312
#476052
#471442
#471422
#471072
#470222
#470092
#468212
#463832
#403972
#400772
#396862
#396392
#387772
#387572
#373642
#369682
#356402
#354532
#354312
#353632