Finite Group Databasebeta

← #9523565

Subgroups — #9523565

Order 512.

4265 conjugacy classes of subgroups.

The subgroup lattice has 2071 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58868C212yesmaximal, complemented
2#58046C212yesmaximal, complemented
3#57720C212yesmaximal, complemented
4#56594C212yesmaximal, complemented
5#56594C212yesmaximal, complemented
6#56281C212yesmaximal, complemented
7#55633C212yesmaximal, complemented
8#55373C212yesmaximal, complemented
9#55195C212yesmaximal, complemented
10#55192C212yesmaximal, complemented
11#54686C212yesmaximal, complemented
12#54244C212yesmaximal, complemented
13#53219C211yesmaximal, characteristic, complemented
14#52828C212yesmaximal, complemented
15#51648C212yesmaximal, complemented
16#51326C212yesmaximal, complemented
17#50973C212yesmaximal, complemented
18#50706C212yesmaximal, complemented
19#48554C212yesmaximal, complemented
20#47199C212yesmaximal, complemented
21#46363C212yesmaximal, complemented
22#46132C211yesmaximal, characteristic, complemented
23#43952C212yesmaximal, complemented
24#43735C212yesmaximal, complemented
25#43073C212yesmaximal, complemented
26#42957C212yesmaximal, complemented
27#42497C212yesmaximal, complemented
28#42295C212yesmaximal, complemented
29#41999C212yesmaximal, complemented
30#40614C212yesmaximal, complemented
31#39670C211yesmaximal, characteristic, complemented
32#38920C211yesmaximal, characteristic
33#37763C211yesmaximal, characteristic, complemented
34#37210C211yesmaximal, characteristic, complemented
35#36752C211yesmaximal, characteristic, complemented
36C2×#563C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#539C2211yescharacteristic
39C2×#536C2212yes—
40C2×#529C2211yescharacteristic
41#2857C2211yescharacteristic
42#2855C2211yescharacteristic
43#2851C2211yescharacteristic
44#2851C2211yescharacteristic
45#2844C2212yes—
46#2844C2212yes—
47#2843C2212yes—
48#2841C2212yes—
49#2841C2212yes—
50#2841C2212yes—
51#2839C2212yes—
52#2839C2212yes—
53#2839C2212yes—
54#2838C2212yes—
55#2836C2212yes—
56#2836C2212yes—
57#2836C2212yes—
58#2831C2212yes—
59#2822C2211yescharacteristic
60#2822C2211yescharacteristic
61#2821C2212yes—
62#2817C2212yes—
63#2814C2212yes—
64#2814C2212yes—
65#2810C2211yescharacteristic
66#2808C2211yescharacteristic
67#2805C2211yescharacteristic
68#2805C2212yes—
69#2805C2212yes—
70#2802C2212yes—
71#2802C2212yes—
72#2794C2212yes—
73#2792C2212yes—
74#2792C2212yes—
75#2792C2212yes—
76#2792C2212yes—
77#2791C2212yes—
78#2791C2212yes—
79#2791C2212yes—
80#2791C2212yes—
81#2788C2212yes—
82#2782C2212yes—
83#2780C2212yes—
84#2777C2212yes—
85#2777C2212yes—
86#2776C2212yes—
87#2774C2212yes—
88#2774C2212yes—
89#2774C2212yes—
90#2773C2212yes—
91#2771C2212yes—
92#2770C2212yes—
93#2768C2212yes—
94#2768C2212yes—
95#2768C2212yes—
96#2768C2212yes—
97#2766C2212yes—
98#2766C2212yes—
99#2765C2212yes—
100#2765C2212yes—
101#2762C2212yes—
102#2762C2212yes—
103#2757C2212yes—
104#2755C2212yes—
105#2755C2212yes—
106#2751C2212yes—
107#2750C2212yes—
108#2750C2212yes—
109#2748C2212yes—
110#2747C2212yes—
111#2747C2212yes—
112#2746C2212yes—
113#2746C2212yes—
114#2745C2212yes—
115#2745C2212yes—
116#2744C2212yes—
117#2744C2212yes—
118#2744C2212yes—
119#2744C2212yes—
120#2744C2212yes—
121#2744C2212yes—
122#2744C2212yes—
123#2742C2212yes—
124#2742C2212yes—
125#2742C2212yes—
126#2742C2212yes—
127#2740C2212yes—
128#2740C2212yes—
129#2739C2212yes—
130#2738C2212yes—
131#2738C2212yes—
132#2738C2212yes—
133#2738C2212yes—
134#2737C2212yes—
135#2737C2212yes—
136#2734C2211yescharacteristic
137#2734C2212yes—
138#2734C2212yes—
139#2734C2212yes—
140#2734C2212yes—
141#2734C2211yescharacteristic
142#2729C2212yes—
143#2729C2212yes—
144#2729C2212yes—
145#2727C2211yescharacteristic
146#2726C2212yes—
147#2726C2211yescharacteristic
148#2726C2211yescharacteristic
149#2724C2212yes—
150#2723C2212yes—
151#2722C2212yes—
152#2722C2212yes—
153#2721C2212yes—
154#2721C2212yes—
155#2720C2212yes—
156#2719C2212yes—
157#2718C2212yes—
158#2718C2212yes—
159#2718C2212yes—
160#2718C2212yes—
161#2718C2212yes—
162#2717C2212yes—
163#2717C2212yes—
164#2717C2212yes—
165#2716C2212yes—
166#2716C2212yes—
167#2715C2212yes—
168#2713C2212yes—
169#2713C2212yes—
170#2713C2212yes—
171#2713C2212yes—
172#2713C2212yes—
173#2713C2212yes—
174#2711C2212yes—
175#2708C2212yes—
176#2706C2212yes—
177#2706C2212yes—
178#2706C2212yes—
179#2704C2212yes—
180#2698C2212yes—
181#2698C2212yes—
182#2698C2212yes—
183#2695C2212yes—
184#2695C2212yes—
185#2690C2212yes—
186#2690C2212yes—
187#2689C2212yes—
188#2689C2212yes—
189#2689C2212yes—
190#2687C2212yes—
191#2687C2212yes—
192#2686C2212yes—
193#2686C2212yes—
194#2677C2212yes—
195#2677C2212yes—
196#2677C2212yes—
197#2677C2212yes—
198#2674C2212yes—
199#2674C2212yes—
200#2674C2212yes—
201#2666C2212yes—
202#2666C2212yes—
203#2666C2212yes—
204#2666C2212yes—
205#2666C2212yes—
206#2666C2212yes—
207#2663C2212yes—
208#2663C2212yes—
209#2663C2212yes—
210#2660C2212yes—
211#2660C2212yes—
212#2659C2211yescharacteristic
213#2659C2212yes—
214#2659C2211yescharacteristic
215#2659C2211yescharacteristic
216#2655C2212yes—
217#2654C2212yes—
218#2650C2212yes—
219#2646C2211yescharacteristic
220#2646C2212yes—
221#2646C2211yescharacteristic
222#2638C2212yes—
223#2633C2212yes—
224#2628C2212yes—
225#2628C2212yes—
226#2627C2212yes—
227#2627C2211yescharacteristic
228#2624C2212yes—
229#2614C2212yes—
230#2612C2212yes—
231#2602C2212yes—
232#2601C2212yes—
233#2600C2212yes—
234#2600C2212yes—
235#2590C2212yes—
236#2588C2212yes—
237#2585C2212yes—
238#2585C2212yes—
239#2583C2212yes—
240#2575C2212yes—
241#2575C2212yes—
242#2575C2212yes—
243#2574C2212yes—
244#2573C2212yes—
245#2573C2212yes—
246#2570C2212yes—
247#2569C2212yes—
248#2569C2212yes—
249#2564C2212yes—
250#2563C2212yes—
251#2557C2212yes—
252#2556C2212yes—
253#2556C2212yes—
254#2553C2212yes—
255#2551C2212yes—
256#2551C2212yes—
257#2551C2212yes—
258#2550C2212yes—
259#2550C2212yes—
260#2550C2212yes—
261#2546C2211yescharacteristic
262#2542C2212yes—
263#2538C2211yescharacteristic
264#2533C2212yes—
265#2530C2212yes—
266#2530C2212yes—
267#2529C2212yes—
268#2529C2212yes—
269#2526C2212yes—
270#2525C2212yes—
271#2524C2212yes—
272#2521C2212yes—
273#2521C2212yes—
274#2520C2212yes—
275#2520C2212yes—
276#2516C2212yes—
277#2515C2212yes—
278#2515C2212yes—
279#2508C2212yes—
280#2508C2212yes—
281#2507C2212yes—
282#2507C2212yes—
283#2505C2212yes—
284#2505C2212yes—
285#2505C2212yes—
286#2505C2212yes—
287#2498C2212yes—
288#2495C2212yes—
289#2495C2212yes—
290#2493C2212yes—
291#2489C2212yes—
292#2487C2212yes—
293#2487C2212yes—
294#2486C2212yes—
295#2486C2212yes—
296#2486C2212yes—
297#2485C2212yes—
298#2484C2212yes—
299#2478C2212yes—
300#2478C2212yes—
301#2478C2212yes—
302#2478C2212yes—
303#2478C2212yes—
304#2475C2212yes—
305#2475C2212yes—
306#2473C2212yes—
307#2473C2212yes—
308#2473C2212yes—
309#2470C2212yes—
310#2470C2212yes—
311#2468C2212yes—
312#2468C2212yes—
313#2468C2212yes—
314#2468C2212yes—
315#2462C2212yes—
316#2461C2212yes—
317#2460C2212yes—
318#2460C2212yes—
319#2457C2212yes—
320#2454C2212yes—
321#2452C2212yes—
322#2450C2212yes—
323#2450C2212yes—
324#2449C2212yes—
325#2449C2212yes—
326#2446C2212yes—
327#2440C2212yes—
328#2440C2212yes—
329#2440C2212yes—
330#2440C2212yes—
331#2439C2212yes—
332#2438C2212yes—
333#2438C2212yes—
334#2438C2212yes—
335#2438C2212yes—
336#2438C2212yes—
337#2434C2212yes—
338#2434C2212yes—
339#2434C2212yes—
340#2432C2212yes—
341#2425C2212yes—
342#2425C2212yes—
343#2419C2212yes—
344#2419C2212yes—
345#2419C2212yes—
346#2419C2212yes—
347#2414C2212yes—
348#2409C2212yes—
349#2407C2212yes—
350#2406C2212yes—
351#2406C2212yes—
352#2402C2212yes—
353#2392C2212yes—
354C2×#395C2212yes—
355#2382C2212yes—
356#2379C2211yescharacteristic
357#2374C2212yes—
358#2370C2212yes—
359#2354C2212yes—
360#2354C2211yescharacteristic
361#2352C2212yes—
362#2349C2212yes—
363#2349C2212yes—
364#2343C2212yes—
365#2343C2212yes—
366#2339C2212yes—
367#2336C2212yes—
368#2335C2212yes—
369#2325C2211yescharacteristic
370#2325C2211yescharacteristic
371#2325C2211yescharacteristic
372#2319C2212yes—
373#2318C2212yes—
374#2317C2212yes—
375#2316C2211yescharacteristic
376#2313C2211yescharacteristic
377C4×#121C2211yescharacteristic
378C2×#387C2211yescharacteristic
379C22×#41C2312yes—
380C23×Q8C2312yes—
381#563—44no—
382#547—44no—
383#539—44no—
384#536—48no—
385C2×C4⋊Q8C2311yescharacteristic
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
390C2×C4⋊Q8C2312yes—
391C2×C4⋊Q8C2312yes—
392C2×C4⋊Q8C2312yes—
393C2×C4⋊Q8C2312yes—
394C2×C4⋊Q8C2312yes—
395C2×C4⋊Q8C2312yes—
396#529—44no—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#126C2312yes—
401C2×#126C2312yes—
402C2×#126C2312yes—
403C2×#125C2312yes—
404C2×#125C2311yescharacteristic
405C2×#125C2311yescharacteristic
406C2×#125C2311yescharacteristic
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#124C2311yescharacteristic
412C2×#124C2312yes—
413C2×#124C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2311yescharacteristic
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×#121C2311yescharacteristic
439C2×#121C2311yescharacteristic
440C2×#121C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×#117C2312yes—
453C2×#117C2312yes—
454C2×#117C2312yes—
455C2×#117C2312yes—
456C2×#117C2312yes—
457C22×C4⋊C4C2311yescharacteristic
458C22×C4⋊C4C2312yes—
459C22×C4⋊C4C2311yescharacteristic
460C22×C4⋊C4C2312yes—
461C22×C4⋊C4C2312yes—
462C22×C42C2311yescharacteristic
463#401C2312yes—
464#401C2312yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
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#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#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#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
597#398C2312yes—
598#398C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2312yes—
623#397C2312yes—
624#397C2312yes—
625#397C2312yes—
626#397C2312yes—
627#397C2312yes—
628#397C2312yes—
629#397C2312yes—
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#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
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#395C2312yes—
673#395C2312yes—
674#395C2312yes—
675#395C2312yes—
676#395C2312yes—
677#395C2312yes—
678#395C2312yes—
679#395C2312yes—
680#395C2312yes—
681#395C2312yes—
682#395C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#394C2312yes—
697#394C2312yes—
698#394C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#393C2312yes—
706#393C2312yes—
707#393C2312yes—
708#393C2312yes—
709#392C2312yes—
710#392C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2311yescharacteristic
717#391C2311yescharacteristic
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#390C2312yes—
729#390C2312yes—
730#390C2312yes—
731#390C2312yes—
732#390C2312yes—
733#390C2312yes—
734#390C2311yescharacteristic
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2311yescharacteristic
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#389C2311yescharacteristic
767#389C2311yescharacteristic
768#389C2311yescharacteristic
769#389C2311yescharacteristic
770#389C2311yescharacteristic
771#389C2311yescharacteristic
772#389C2312yes—
773#389C2311yescharacteristic
774#389C2311yescharacteristic
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#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#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#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#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
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#384C2312yes—
993#384C2312yes—
994#384C2311yescharacteristic
995#384C2312yes—
996#384C2312yes—
997#384C2312yes—
998#383C2312yes—
999#383C2312yes—
1000#383C2312yes—
1001#383C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2311yescharacteristic
1007#382C2311yescharacteristic
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#381C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2311yescharacteristic
1040#380C2311yescharacteristic
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2311yescharacteristic
1047#380C2311yescharacteristic
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2311yescharacteristic
1052#380C2311yescharacteristic
1053#380C2311yescharacteristic
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2311yescharacteristic
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
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⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093#376C2312yes—
1094#376C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2311yescharacteristic
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2311yescharacteristic
1100C2×#95C2311yescharacteristic
1101C2×#95C2312yes—
1102C2×#95C2311yescharacteristic
1103C2×#41—28no—
1104C2×#41—82no—
1105C2×#41—82no—
1106C22×Q8—44no—
1107C22×Q8—82no—
1108C22×Q8—82no—
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2412yes—
1111C22×Q8C2411yescharacteristic
1112C22×Q8C2412yes—
1113C22×Q8C2412yes—
1114C22×Q8C2412yes—
1115C22×Q8C2412yes—
1116C22×Q8C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2411yescharacteristic
1121C22×D4C2412yes—
1122C22×D4C2411yescharacteristic
1123C23×C4C2412yes—
1124C23×C4C2412yes—
1125C23×C4C2411yescharacteristic
1126C23×C4C2412yes—
1127C23×C4C2411yescharacteristic
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2411yescharacteristic
1132C23×C4C2412yes—
1133C23×C4C2411yescharacteristic
1134C23×C4C2412yes—
1135C23×C4C2411yescharacteristic
1136C23×C4C2412yes—
1137C23×C4C2411yescharacteristic
1138C23×C4C2412yes—
1139C23×C4C2411yescharacteristic
1140C4⋊Q8—42no—
1141C4⋊Q8—44no—
1142C4⋊Q8—44no—
1143C4⋊Q8—44no—
1144C4⋊Q8—82no—
1145C4⋊Q8—82no—
1146C4⋊Q8—82no—
1147C4⋊Q8—82no—
1148C4⋊Q8—82no—
1149C4⋊Q8—82no—
1150C4⋊Q8—82no—
1151#126—44no—
1152#126—44no—
1153#126—44no—
1154#126—44no—
1155#126—82no—
1156#126—82no—
1157#125—28no—
1158#125—42no—
1159#125—42no—
1160#125—42no—
1161#125—44no—
1162#125—82no—
1163#125—82no—
1164#125—82no—
1165#124—24no—
1166#124—44no—
1167#124—44no—
1168#123—28no—
1169#123—28no—
1170#123—44no—
1171#123—44no—
1172#123—44no—
1173#123—44no—
1174#123—44no—
1175#123—44no—
1176#123—82no—
1177#123—82no—
1178C22⋊Q8—44no—
1179C22⋊Q8—44no—
1180C22⋊Q8—44no—
1181C22⋊Q8—44no—
1182C22⋊Q8—44no—
1183C22⋊Q8—44no—
1184C22⋊Q8—44no—
1185C22⋊Q8—42no—
1186C22⋊Q8—42no—
1187C22⋊Q8—44no—
1188C22⋊Q8—82no—
1189C22⋊Q8—82no—
1190C22⋊Q8—82no—
1191C22⋊Q8—82no—
1192#121—24no—
1193#121—24no—
1194#121—44no—
1195C4×Q8—42no—
1196C4×D4—24no—
1197C4×D4—28no—
1198C4×D4—28no—
1199C4×D4—42no—
1200C4×D4—44no—
1201C4×D4—44no—
1202C4×D4—82no—
1203C4×D4—82no—
1204C4×D4—82no—
1205C4×D4—82no—
1206#117—28no—
1207#117—44no—
1208#117—44no—
1209#117—82no—
1210#117—82no—
1211C2×C4⋊C4—24no—
1212C2×C4⋊C4—42no—
1213C2×C4⋊C4—44no—
1214C2×C4⋊C4—82no—
1215C2×C4⋊C4—82no—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2411yescharacteristic
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1259C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2411yescharacteristic
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2411yescharacteristic
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2411yescharacteristic
1289C2×C4⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1317C2×C4⋊C4C2411yescharacteristic
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2411yescharacteristic
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2411yescharacteristic
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2411yescharacteristic
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C42—42no—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2411yescharacteristic
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2411yescharacteristic
1389C2×C42C2412yes—
1390C2×C42C2411yescharacteristic
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×C42C2411yescharacteristic
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
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#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529C24C2512yes—
1530C24C2512yes—
1531C24C2511yescharacteristic
1532#41—816no—
1533C2×Q8—22no—
1534C2×Q8—24no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—41no—
1538C2×Q8—42no—
1539C2×Q8—42no—
1540C2×Q8—42no—
1541C2×Q8—42no—
1542C2×Q8—42no—
1543C2×Q8—41no—
1544C2×Q8—42no—
1545C2×Q8—42no—
1546C2×Q8—42no—
1547C2×Q8—42no—
1548C2×Q8—42no—
1549C2×Q8—42no—
1550C2×Q8—42no—
1551C2×Q8—41no—
1552C2×Q8—42no—
1553C2×Q8—42no—
1554C2×Q8—42no—
1555C2×Q8—41no—
1556C2×Q8—41no—
1557C2×Q8—816no—
1558C2×D4—24no—
1559C2×D4—24no—
1560C2×D4—24no—
1561C2×D4—24no—
1562C2×D4—24no—
1563C2×D4—24no—
1564C2×D4—22no—
1565C2×D4—42no—
1566C2×D4—42no—
1567C2×D4—42no—
1568C2×D4—42no—
1569C2×D4—41no—
1570C2×D4—41no—
1571C2×D4—41no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C2×D4—41no—
1575C2×D4H(5,𝔽2)14yes—
1576C22×C4—24no—
1577C22×C4—24no—
1578C22×C4—24no—
1579C22×C4—24no—
1580C22×C4—24no—
1581C22×C4—22no—
1582C22×C4—22no—
1583C22×C4—24no—
1584C22×C4—22no—
1585C22×C4—24no—
1586C22×C4—24no—
1587C22×C4—24no—
1588C22×C4—22no—
1589C22×C4—41no—
1590C22×C4—41no—
1591C22×C4—42no—
1592C22×C4—42no—
1593C22×C4—42no—
1594C22×C4—41no—
1595C22×C4—41no—
1596C22×C4—41no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—42no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—42no—
1604C22×C4—41no—
1605C22×C4—42no—
1606C22×C4—41no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—42no—
1612C22×C4—41no—
1613C22×C4—41no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—41no—
1617C22×C4—41no—
1618C22×C4—41no—
1619C22×C4—42no—
1620C22×C4—41no—
1621C22×C4—41no—
1622C22×C4—42no—
1623C22×C4—41no—
1624C22×C4—42no—
1625C22×C4—41no—
1626C22×C42−1+414yes—
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2512yes—
1635C22×C4C2512yes—
1636C22×C4C2511yescharacteristic
1637C22×C4C2511yescharacteristic
1638C22×C4C2511yescharacteristic
1639C22×C4C2512yes—
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2512yes—
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2512yes—
1651C22×C4C2512yes—
1652C22×C4C2512yes—
1653C22×C4C2512yes—
1654C22×C4C2511yescharacteristic
1655C22×C4C2511yescharacteristic
1656C22×C4C2512yes—
1657C22×C4C2511yescharacteristic
1658C22×C4C2512yes—
1659C4⋊C4—24no—
1660C4⋊C4—22no—
1661C4⋊C4—22no—
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—24no—
1675C4⋊C4—41no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—42no—
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—42no—
1690C4⋊C4—41no—
1691C4⋊C4—41no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—41no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—41no—
1705C4⋊C4—41no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—41no—
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—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—41no—
1725C4⋊C4—41no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
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—41no—
1747C4⋊C4—41no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—41no—
1753C4⋊C4—41no—
1754C4⋊C4—41no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—41no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C42−1+414yes—
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—24no—
1780C22⋊C4—24no—
1781C22⋊C4—24no—
1782C22⋊C4—24no—
1783C22⋊C4—24no—
1784C22⋊C4—24no—
1785C22⋊C4—24no—
1786C22⋊C4—24no—
1787C22⋊C4—24no—
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—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C42—22no—
1826C42—22no—
1827C42—24no—
1828C42—24no—
1829C42—24no—
1830C42—24no—
1831C42—24no—
1832C42—41no—
1833C42—41no—
1834C42—42no—
1835C42—42no—
1836C42—42no—
1837C42—42no—
1838C42—42no—
1839C42—42no—
1840C42—42no—
1841C42—42no—
1842C42—42no—
1843C42—42no—
1844C42—42no—
1845C42—42no—
1846C42—42no—
1847C42—42no—
1848C42—42no—
1849C42—42no—
1850C42—42no—
1851C23—21no—
1852C23—22no—
1853C23—22no—
1854C23—21no—
1855C23—21no—
1856C23—21no—
1857C23—22no—
1858C23—22no—
1859C23—22no—
1860C23—21no—
1861C23—22no—
1862C23—21no—
1863C23—22no—
1864C23—22no—
1865C23—22no—
1866C23—22no—
1867C23—22no—
1868C23—22no—
1869C23—22no—
1870C23C2×H(5,𝔽2)14yes—
1871C23C2×2−1+412yes—
1872C23C2611yescharacteristic
1873Q8—82no—
1874Q8—84no—
1875Q8—84no—
1876Q8—84no—
1877Q8—84no—
1878Q8—84no—
1879Q8—161no—
1880Q8—162no—
1881D4—44no—
1882D4—48no—
1883D4—48no—
1884D4—48no—
1885D4—82no—
1886D4—84no—
1887C2×C4—21no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—21no—
1892C2×C4—21no—
1893C2×C4—22no—
1894C2×C4—21no—
1895C2×C4—21no—
1896C2×C4—21no—
1897C2×C4—21no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—21no—
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—21no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—21no—
1927C2×C4—21no—
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—21no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—21no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—21no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—21no—
1976C2×C4—21no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—44no—
1980C2×C4—48no—
1981C2×C4—48no—
1982C2×C4—82no—
1983C2×C4—84no—
1984C2×C4—84no—
1985C2×C4—82no—
1986C2×C4—84no—
1987C2×C4—82no—
1988C2×C4—82no—
1989C2×C4—84no—
1990C2×C4—84no—
1991C2×C4—84no—
1992C2×C4—84no—
1993C2×C4—162no—
1994C2×C4—161no—
1995C2×C4—161no—
1996C2×C4C2×H(5,𝔽2)12yes—
1997C2×C4C2×2−1+414yes—
1998C2×C4C2×2−1+414yes—
1999C2×C4C2×2−1+412yes—
2000C22—24no—
2001C22—22no—
2002C22—24no—
2003C22—22no—
2004C22—24no—
2005C22—22no—
2006C22—42no—
2007C22—41no—
2008C22—42no—
2009C22—41no—
2010C22—41no—
2011C22—42no—
2012C22—41no—
2013C22—42no—
2014C22—42no—
2015C22—42no—
2016C22—42no—
2017C22—42no—
2018C22—42no—
2019C22—42no—
2020C22—42no—
2021C22C22×H(5,𝔽2)11yescharacteristic
2022C22C22×2−1+411yescharacteristic
2023C22C22×2−1+411yescharacteristic
2024C22H(7,𝔽2)11yescharacteristic
2025C22H(7,𝔽2)11yescharacteristic
2026C222−1+611yescharacteristic
2027C222−1+611yescharacteristic
2028C4—22no—
2029C4—24no—
2030C4—22no—
2031C4—24no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C4—42no—
2037C4—42no—
2038C4—42no—
2039C4—42no—
2040C4—42no—
2041C4—42no—
2042C4—42no—
2043C4—42no—
2044C4—42no—
2045C4—42no—
2046C4—41no—
2047C4—42no—
2048C4—42no—
2049C4—42no—
2050C4—42no—
2051C4—42no—
2052C4—42no—
2053C4—42no—
2054C4—41no—
2055C4—41no—
2056C4—41no—
2057C4—42no—
2058C4—42no—
2059C4—42no—
2060C2—44no—
2061C2—42no—
2062C2—82no—
2063C2#6286211yescharacteristic
2064C2#6286511yescharacteristic
2065C2#6291511yescharacteristic
2066C2#6291511yescharacteristic
2067C2#6294511yescharacteristic
2068C2#6297811yescharacteristic
2069C2#6306111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#38920C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58868C2semidirect
2. #58046C2semidirect
3. #57720C2semidirect
4. #56594C2semidirect
5. #56594C2semidirect
6. #56281C2semidirect
7. #55633C2semidirect
8. #55373C2semidirect
9. #55195C2semidirect
10. #55192C2semidirect
11. #54686C2semidirect
12. #54244C2semidirect
13. #53219C2semidirect
14. #52828C2semidirect
15. #51648C2semidirect
16. #51326C2semidirect
17. #50973C2semidirect
18. #50706C2semidirect
19. #48554C2semidirect
20. #47199C2semidirect
21. #46363C2semidirect
22. #46132C2semidirect
23. #43952C2semidirect
24. #43735C2semidirect
25. #43073C2semidirect
26. #42957C2semidirect
27. #42497C2semidirect
28. #42295C2semidirect
29. #41999C2semidirect
30. #40614C2semidirect
31. #39670C2semidirect
33. #37763C2semidirect
34. #37210C2semidirect
35. #36752C2semidirect

Maximal subgroups

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

subgroupindex
#588682
#580462
#577202
#565942
#562812
#556332
#553732
#551952
#551922
#546862
#542442
#532192
#528282
#516482
#513262
#509732
#507062
#485542
#471992
#463632
#461322
#439522
#437352
#430732
#429572
#424972
#422952
#419992
#406142
#396702
#389202
#377632
#372102
#367522