Finite Group Databasebeta

← #9515312

Subgroups — #9515312

Order 512.

4147 conjugacy classes of subgroups.

The subgroup lattice has 2053 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58708C212yesmaximal, complemented
2#57718C212yesmaximal, complemented
3#57704C212yesmaximal, complemented
4#57513C212yesmaximal, complemented
5#55638C212yesmaximal, complemented
6#54669C212yesmaximal, complemented
7#54241C212yesmaximal, complemented
8#54236C212yesmaximal, complemented
9#54061C212yesmaximal, complemented
10#54028C212yesmaximal, complemented
11#53951C212yesmaximal, complemented
12#53574C212yesmaximal, complemented
13#53205C211yesmaximal, characteristic, complemented
14#52631C212yesmaximal, complemented
15#51675C212yesmaximal, complemented
16#51539C212yesmaximal, complemented
17#51505C212yesmaximal, complemented
18#49503C212yesmaximal, complemented
19#49032C212yesmaximal, complemented
20#47199C212yesmaximal, complemented
21#46377C212yesmaximal, complemented
22#45972C211yesmaximal, characteristic
23#44843C212yesmaximal, complemented
24#43957C212yesmaximal, complemented
25#43075C212yesmaximal, complemented
26#42956C212yesmaximal, complemented
27#42003C212yesmaximal, complemented
28#41965C212yesmaximal, complemented
29#40864C212yesmaximal, complemented
30#40619C212yesmaximal, complemented
31#39798C211yesmaximal, characteristic, complemented
32#38923C211yesmaximal, characteristic, complemented
33#37763C211yesmaximal, characteristic, complemented
34#37212C211yesmaximal, characteristic, complemented
35#36752C211yesmaximal, characteristic, complemented
36C2×#562C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#542C2212yes—
39C2×#539C2211yescharacteristic
40C2×#529C2211yescharacteristic
41#2857C2211yescharacteristic
42#2855C2211yescharacteristic
43#2851C2211yescharacteristic
44#2850C2211yescharacteristic
45#2845C2212yes—
46#2843C2212yes—
47#2841C2212yes—
48#2841C2212yes—
49#2839C2212yes—
50#2839C2212yes—
51#2839C2212yes—
52#2839C2212yes—
53#2839C2212yes—
54#2837C2212yes—
55#2836C2212yes—
56#2836C2212yes—
57#2834C2212yes—
58#2833C2212yes—
59#2833C2212yes—
60#2833C2212yes—
61#2827C2212yes—
62#2822C2211yescharacteristic
63#2820C2211yescharacteristic
64#2817C2212yes—
65#2810C2211yescharacteristic
66#2809C2211yescharacteristic
67#2806C2212yes—
68#2806C2211yescharacteristic
69#2806C2211yescharacteristic
70#2805C2211yescharacteristic
71#2805C2212yes—
72#2805C2212yes—
73#2802C2212yes—
74#2802C2212yes—
75#2802C2212yes—
76#2802C2212yes—
77#2796C2212yes—
78#2792C2212yes—
79#2792C2212yes—
80#2792C2212yes—
81#2792C2212yes—
82#2791C2212yes—
83#2791C2212yes—
84#2791C2212yes—
85#2790C2212yes—
86#2789C2212yes—
87#2789C2212yes—
88#2787C2212yes—
89#2787C2212yes—
90#2787C2212yes—
91#2787C2212yes—
92#2787C2212yes—
93#2784C2212yes—
94#2783C2212yes—
95#2783C2212yes—
96#2781C2212yes—
97#2779C2212yes—
98#2778C2212yes—
99#2778C2212yes—
100#2777C2212yes—
101#2777C2212yes—
102#2777C2212yes—
103#2776C2212yes—
104#2774C2212yes—
105#2774C2212yes—
106#2774C2212yes—
107#2773C2212yes—
108#2773C2212yes—
109#2770C2212yes—
110#2768C2212yes—
111#2768C2212yes—
112#2767C2212yes—
113#2766C2212yes—
114#2766C2212yes—
115#2765C2212yes—
116#2765C2212yes—
117#2762C2212yes—
118#2758C2212yes—
119#2755C2212yes—
120#2755C2212yes—
121#2755C2212yes—
122#2754C2212yes—
123#2748C2212yes—
124#2747C2212yes—
125#2747C2212yes—
126#2747C2212yes—
127#2746C2212yes—
128#2745C2212yes—
129#2745C2212yes—
130#2744C2212yes—
131#2744C2212yes—
132#2744C2212yes—
133#2744C2212yes—
134#2743C2212yes—
135#2743C2212yes—
136#2741C2212yes—
137#2740C2212yes—
138#2740C2212yes—
139#2739C2212yes—
140#2734C2212yes—
141#2734C2211yescharacteristic
142#2732C2212yes—
143#2732C2211yescharacteristic
144#2729C2212yes—
145#2729C2212yes—
146#2728C2212yes—
147#2727C2211yescharacteristic
148#2726C2212yes—
149#2725C2212yes—
150#2725C2212yes—
151#2722C2212yes—
152#2722C2212yes—
153#2722C2212yes—
154#2721C2212yes—
155#2719C2212yes—
156#2717C2212yes—
157#2717C2212yes—
158#2717C2212yes—
159#2717C2212yes—
160#2716C2212yes—
161#2715C2212yes—
162#2715C2212yes—
163#2713C2212yes—
164#2713C2212yes—
165#2713C2212yes—
166#2713C2212yes—
167#2708C2212yes—
168#2706C2212yes—
169#2704C2212yes—
170#2704C2212yes—
171#2702C2212yes—
172#2700C2212yes—
173#2698C2212yes—
174#2698C2212yes—
175#2698C2212yes—
176#2698C2212yes—
177#2698C2212yes—
178#2695C2212yes—
179#2695C2212yes—
180#2695C2212yes—
181#2695C2212yes—
182#2693C2212yes—
183#2693C2212yes—
184#2691C2212yes—
185#2691C2212yes—
186#2690C2212yes—
187#2690C2212yes—
188#2689C2212yes—
189#2689C2212yes—
190#2689C2212yes—
191#2689C2212yes—
192#2688C2212yes—
193#2687C2212yes—
194#2686C2212yes—
195#2686C2212yes—
196#2683C2212yes—
197#2680C2212yes—
198#2680C2212yes—
199#2677C2212yes—
200#2674C2212yes—
201#2667C2212yes—
202#2667C2212yes—
203#2667C2212yes—
204#2666C2212yes—
205#2666C2212yes—
206#2666C2212yes—
207#2664C2212yes—
208#2663C2212yes—
209#2659C2212yes—
210#2659C2211yescharacteristic
211#2659C2211yescharacteristic
212#2659C2211yescharacteristic
213#2655C2212yes—
214#2655C2212yes—
215#2655C2212yes—
216#2655C2212yes—
217#2652C2212yes—
218#2652C2212yes—
219#2652C2212yes—
220#2652C2212yes—
221#2647C2212yes—
222#2646C2211yescharacteristic
223#2639C2211yescharacteristic
224#2629C2212yes—
225#2627C2212yes—
226#2627C2211yescharacteristic
227#2625C2212yes—
228#2623C2212yes—
229#2623C2212yes—
230#2612C2212yes—
231#2612C2212yes—
232#2612C2212yes—
233#2606C2212yes—
234#2604C2212yes—
235#2604C2212yes—
236#2600C2212yes—
237#2600C2212yes—
238#2590C2212yes—
239#2588C2212yes—
240#2587C2212yes—
241#2585C2212yes—
242#2585C2212yes—
243#2583C2212yes—
244#2582C2211yescharacteristic
245#2579C2212yes—
246#2578C2212yes—
247#2577C2212yes—
248#2576C2212yes—
249#2576C2212yes—
250#2576C2212yes—
251#2575C2212yes—
252#2573C2212yes—
253#2569C2212yes—
254#2557C2212yes—
255#2556C2212yes—
256#2553C2212yes—
257#2553C2212yes—
258#2550C2212yes—
259#2549C2212yes—
260#2549C2212yes—
261#2547C2212yes—
262#2546C2211yescharacteristic
263#2530C2212yes—
264#2530C2212yes—
265#2530C2212yes—
266#2530C2212yes—
267#2530C2212yes—
268#2529C2212yes—
269#2528C2212yes—
270#2528C2212yes—
271#2528C2212yes—
272#2527C2212yes—
273#2526C2212yes—
274#2523C2212yes—
275#2522C2212yes—
276#2522C2212yes—
277#2521C2212yes—
278#2521C2212yes—
279#2521C2212yes—
280#2520C2212yes—
281#2510C2212yes—
282#2509C2212yes—
283#2508C2212yes—
284#2505C2212yes—
285#2499C2212yes—
286#2498C2212yes—
287#2497C2212yes—
288#2497C2212yes—
289#2496C2212yes—
290#2496C2212yes—
291#2495C2212yes—
292#2493C2212yes—
293#2493C2212yes—
294#2487C2212yes—
295#2487C2212yes—
296#2486C2212yes—
297#2486C2212yes—
298#2485C2212yes—
299#2481C2212yes—
300#2481C2212yes—
301#2481C2212yes—
302#2478C2212yes—
303#2478C2212yes—
304#2478C2212yes—
305#2474C2212yes—
306#2473C2212yes—
307#2473C2212yes—
308#2473C2212yes—
309#2473C2212yes—
310#2470C2212yes—
311#2470C2212yes—
312#2468C2212yes—
313#2466C2212yes—
314#2465C2212yes—
315#2465C2212yes—
316#2464C2212yes—
317#2462C2212yes—
318#2462C2212yes—
319#2461C2212yes—
320#2453C2212yes—
321#2453C2212yes—
322#2450C2212yes—
323#2449C2212yes—
324#2446C2212yes—
325#2443C2212yes—
326#2443C2212yes—
327#2442C2212yes—
328#2442C2212yes—
329#2442C2212yes—
330#2440C2212yes—
331#2440C2212yes—
332#2440C2212yes—
333#2438C2212yes—
334#2438C2212yes—
335#2438C2212yes—
336#2438C2212yes—
337#2429C2212yes—
338#2427C2212yes—
339#2427C2212yes—
340#2425C2212yes—
341#2423C2212yes—
342#2421C2212yes—
343#2419C2212yes—
344#2419C2212yes—
345#2419C2212yes—
346#2419C2212yes—
347#2419C2212yes—
348#2417C2212yes—
349#2417C2212yes—
350#2417C2212yes—
351#2413C2212yes—
352#2399C2212yes—
353#2392C2212yes—
354C2×#398C2212yes—
355#2382C2212yes—
356#2379C2211yescharacteristic
357#2373C2212yes—
358#2372C2212yes—
359#2364C2212yes—
360#2359C2212yes—
361#2353C2212yes—
362#2352C2212yes—
363#2352C2212yes—
364#2349C2212yes—
365D4×C4⋊C4C2211yescharacteristic
366#2344C2212yes—
367#2329C2211yescharacteristic
368#2327C2212yes—
369#2325C2211yescharacteristic
370#2325C2211yescharacteristic
371#2322C2212yes—
372#2319C2212yes—
373#2318C2212yes—
374#2316C2212yes—
375#2316C2211yescharacteristic
376#2313C2211yescharacteristic
377C4×C22⋊Q8C2211yescharacteristic
378C2×#387C2211yescharacteristic
379#562—44no—
380#556—44no—
381#542—48no—
382#539—44no—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2311yescharacteristic
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387#529—44no—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#125C2311yescharacteristic
397C2×#125C2311yescharacteristic
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#124C2312yes—
403C2×#124C2311yescharacteristic
404C2×#124C2311yescharacteristic
405C2×#124C2312yes—
406C2×#124C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
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×#121C2311yescharacteristic
433C2×#121C2312yes—
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2312yes—
452C22×C4⋊C4C2312yes—
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2312yes—
455C22×C4⋊C4C2312yes—
456C22×C4⋊C4C2312yes—
457C22×C42C2311yescharacteristic
458#401C2312yes—
459#401C2312yes—
460#401C2312yes—
461#401C2312yes—
462#401C2312yes—
463#401C2312yes—
464#400C2312yes—
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#400C2312yes—
518#400C2312yes—
519#400C2312yes—
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#398C2312yes—
600#398C2312yes—
601#398C2312yes—
602#398C2312yes—
603#398C2312yes—
604#398C2312yes—
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#397C2312yes—
631#397C2312yes—
632#397C2312yes—
633#397C2312yes—
634#397C2312yes—
635#397C2312yes—
636#397C2312yes—
637#397C2312yes—
638#397C2312yes—
639#397C2312yes—
640#397C2312yes—
641#397C2312yes—
642#397C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#396C2312yes—
651#396C2312yes—
652#396C2312yes—
653#396C2312yes—
654#396C2312yes—
655#396C2312yes—
656#396C2312yes—
657#396C2312yes—
658#396C2312yes—
659#396C2312yes—
660#396C2312yes—
661#396C2312yes—
662#396C2312yes—
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#395C2312yes—
684#395C2312yes—
685#395C2312yes—
686#395C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#394C2312yes—
697#394C2312yes—
698#394C2312yes—
699#394C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#392C2312yes—
705#392C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2311yescharacteristic
717#391C2311yescharacteristic
718#391C2311yescharacteristic
719#391C2312yes—
720#391C2312yes—
721#391C2311yescharacteristic
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#390C2312yes—
729#390C2312yes—
730#390C2311yescharacteristic
731#389C2311yescharacteristic
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#389C2311yescharacteristic
766#389C2311yescharacteristic
767#389C2311yescharacteristic
768#389C2311yescharacteristic
769#389C2312yes—
770#389C2311yescharacteristic
771#389C2311yescharacteristic
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#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#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#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#384C2311yescharacteristic
1000#384C2312yes—
1001#384C2312yes—
1002#384C2312yes—
1003#383C2312yes—
1004#383C2312yes—
1005#383C2312yes—
1006#383C2312yes—
1007#382C2311yescharacteristic
1008#382C2311yescharacteristic
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#380C2311yescharacteristic
1032#380C2311yescharacteristic
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2311yescharacteristic
1037#380C2311yescharacteristic
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2311yescharacteristic
1048#380C2311yescharacteristic
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
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⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092#376C2312yes—
1093#376C2312yes—
1094#376C2312yes—
1095#376C2312yes—
1096C2×#95C2311yescharacteristic
1097C2×#95C2312yes—
1098C2×#95C2311yescharacteristic
1099C2×#95C2311yescharacteristic
1100C2×#95C2312yes—
1101C2×#95C2311yescharacteristic
1102C2×#95C2312yes—
1103C22×Q8C2411yescharacteristic
1104C22×Q8C2411yescharacteristic
1105C22×Q8C2412yes—
1106C22×Q8C2412yes—
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2412yes—
1109C22×Q8C2411yescharacteristic
1110C22×D4C2412yes—
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2411yescharacteristic
1115C22×D4C2411yescharacteristic
1116C23×C4C2412yes—
1117C23×C4C2411yescharacteristic
1118C23×C4C2412yes—
1119C23×C4C2412yes—
1120C23×C4C2412yes—
1121C23×C4C2412yes—
1122C23×C4C2411yescharacteristic
1123C23×C4C2411yescharacteristic
1124C23×C4C2411yescharacteristic
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2411yescharacteristic
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2411yescharacteristic
1132C23×C4C2411yescharacteristic
1133C4⋊Q8—42no—
1134C4⋊Q8—44no—
1135C4⋊Q8—44no—
1136C4⋊Q8—82no—
1137#126—44no—
1138#126—44no—
1139#126—44no—
1140#126—44no—
1141#126—44no—
1142#126—44no—
1143#126—44no—
1144#126—82no—
1145#125—42no—
1146#125—42no—
1147#125—44no—
1148#125—44no—
1149#125—82no—
1150#125—82no—
1151#124—24no—
1152#124—28no—
1153#124—42no—
1154#124—44no—
1155#124—44no—
1156#123—28no—
1157#123—44no—
1158#123—44no—
1159#123—44no—
1160#123—44no—
1161#123—44no—
1162#123—44no—
1163#123—82no—
1164C22⋊Q8—44no—
1165C22⋊Q8—44no—
1166C22⋊Q8—44no—
1167C22⋊Q8—44no—
1168C22⋊Q8—44no—
1169C22⋊Q8—44no—
1170C22⋊Q8—44no—
1171C22⋊Q8—42no—
1172C22⋊Q8—42no—
1173C22⋊Q8—42no—
1174C22⋊Q8—42no—
1175C22⋊Q8—82no—
1176C22⋊Q8—82no—
1177C22⋊Q8—82no—
1178C22⋊Q8—82no—
1179#121—24no—
1180#121—28no—
1181#121—42no—
1182#121—44no—
1183C4×Q8—42no—
1184C4×Q8—44no—
1185C4×Q8—42no—
1186C4×Q8—44no—
1187C4×D4—24no—
1188C4×D4—28no—
1189C4×D4—28no—
1190C4×D4—44no—
1191C4×D4—44no—
1192C4×D4—44no—
1193C4×D4—82no—
1194C4×D4—82no—
1195#117—44no—
1196#117—44no—
1197#117—44no—
1198#117—82no—
1199C2×C4⋊C4—24no—
1200C2×C4⋊C4—44no—
1201C2×C4⋊C4—44no—
1202C2×C4⋊C4—42no—
1203C2×C4⋊C4—82no—
1204C2×C4⋊C4—82no—
1205C2×C4⋊C4—82no—
1206C2×C4⋊C4C2411yescharacteristic
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2411yescharacteristic
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1237C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1270C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1281C2×C4⋊C4C2411yescharacteristic
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2411yescharacteristic
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2411yescharacteristic
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊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×C42—42no—
1370C2×C42C2411yescharacteristic
1371C2×C42C2412yes—
1372C2×C42C2412yes—
1373C2×C42C2412yes—
1374C2×C42C2411yescharacteristic
1375C2×C42C2411yescharacteristic
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2411yescharacteristic
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396#95C2412yes—
1397#95C2412yes—
1398#95C2412yes—
1399#95C2412yes—
1400#95C2412yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2412yes—
1404#95C2412yes—
1405#95C2412yes—
1406#95C2412yes—
1407#95C2412yes—
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#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—
1520C24C2512yes—
1521C24C2512yes—
1522C24C2511yescharacteristic
1523C2×Q8—22no—
1524C2×Q8—24no—
1525C2×Q8—22no—
1526C2×Q8—41no—
1527C2×Q8—42no—
1528C2×Q8—42no—
1529C2×Q8—42no—
1530C2×Q8—41no—
1531C2×Q8—41no—
1532C2×Q8—41no—
1533C2×Q8—42no—
1534C2×Q8—42no—
1535C2×Q8—41no—
1536C2×Q8—41no—
1537C2×Q8—42no—
1538C2×Q8—41no—
1539C2×Q8—42no—
1540C2×Q8—41no—
1541C2×Q8—41no—
1542C2×Q8—41no—
1543C2×Q8—42no—
1544C2×D4—24no—
1545C2×D4—24no—
1546C2×D4—24no—
1547C2×D4—24no—
1548C2×D4—24no—
1549C2×D4—41no—
1550C2×D4—41no—
1551C2×D4—42no—
1552C2×D4—42no—
1553C2×D4—42no—
1554C2×D4—42no—
1555C2×D4—42no—
1556C2×D4—42no—
1557C2×D4—42no—
1558C2×D4—41no—
1559C2×D4—41no—
1560C2×D4—41no—
1561C2×D4H(5,𝔽2)14yes—
1562C22×C4—24no—
1563C22×C4—24no—
1564C22×C4—24no—
1565C22×C4—22no—
1566C22×C4—22no—
1567C22×C4—24no—
1568C22×C4—22no—
1569C22×C4—24no—
1570C22×C4—24no—
1571C22×C4—22no—
1572C22×C4—41no—
1573C22×C4—41no—
1574C22×C4—42no—
1575C22×C4—41no—
1576C22×C4—41no—
1577C22×C4—41no—
1578C22×C4—42no—
1579C22×C4—42no—
1580C22×C4—42no—
1581C22×C4—42no—
1582C22×C4—42no—
1583C22×C4—42no—
1584C22×C4—41no—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—41no—
1588C22×C4—41no—
1589C22×C4—42no—
1590C22×C4—41no—
1591C22×C4—42no—
1592C22×C4—41no—
1593C22×C4—42no—
1594C22×C4—41no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—42no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—41no—
1604C22×C4—41no—
1605C22×C4—41no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—41no—
1610C22×C4—42no—
1611C22×C4—41no—
1612C22×C42−1+414yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2512yes—
1620C22×C4C2511yescharacteristic
1621C22×C4C2511yescharacteristic
1622C22×C4C2512yes—
1623C22×C4C2511yescharacteristic
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2512yes—
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2512yes—
1638C22×C4C2512yes—
1639C22×C4C2511yescharacteristic
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2511yescharacteristic
1643C22×C4C2512yes—
1644C22×C4C2511yescharacteristic
1645C4⋊C4—24no—
1646C4⋊C4—22no—
1647C4⋊C4—24no—
1648C4⋊C4—22no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—24no—
1652C4⋊C4—24no—
1653C4⋊C4—24no—
1654C4⋊C4—22no—
1655C4⋊C4—24no—
1656C4⋊C4—24no—
1657C4⋊C4—24no—
1658C4⋊C4—24no—
1659C4⋊C4—42no—
1660C4⋊C4—42no—
1661C4⋊C4—42no—
1662C4⋊C4—42no—
1663C4⋊C4—42no—
1664C4⋊C4—42no—
1665C4⋊C4—42no—
1666C4⋊C4—42no—
1667C4⋊C4—42no—
1668C4⋊C4—42no—
1669C4⋊C4—42no—
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—41no—
1679C4⋊C4—41no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—42no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—41no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—41no—
1701C4⋊C4—41no—
1702C4⋊C4—41no—
1703C4⋊C4—42no—
1704C4⋊C4—41no—
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—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—41no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—41no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—41no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—41no—
1739C4⋊C4—41no—
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—41no—
1750C4⋊C4—41no—
1751C4⋊C4—41no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C22⋊C4—24no—
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—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—
1808C42—22no—
1809C42—22no—
1810C42—24no—
1811C42—24no—
1812C42—24no—
1813C42—41no—
1814C42—41no—
1815C42—42no—
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—42no—
1830C42—42no—
1831C42—42no—
1832C42—42no—
1833C42—42no—
1834C23—21no—
1835C23—22no—
1836C23—21no—
1837C23—22no—
1838C23—21no—
1839C23—22no—
1840C23—21no—
1841C23—22no—
1842C23—22no—
1843C23—22no—
1844C23—21no—
1845C23—21no—
1846C23—22no—
1847C23—22no—
1848C23—22no—
1849C23—22no—
1850C23—22no—
1851C23—22no—
1852C23—22no—
1853C23C2×H(5,𝔽2)14yes—
1854C23C2×2−1+412yes—
1855C23C2611yescharacteristic
1856Q8—82no—
1857Q8—84no—
1858Q8—82no—
1859Q8—84no—
1860Q8—161no—
1861Q8—162no—
1862Q8—161no—
1863D4—44no—
1864D4—48no—
1865D4—84no—
1866D4—84no—
1867D4—84no—
1868D4—161no—
1869C2×C4—21no—
1870C2×C4—22no—
1871C2×C4—21no—
1872C2×C4—22no—
1873C2×C4—21no—
1874C2×C4—21no—
1875C2×C4—22no—
1876C2×C4—21no—
1877C2×C4—21no—
1878C2×C4—21no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—21no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—21no—
1900C2×C4—21no—
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—21no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—21no—
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—22no—
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—21no—
1962C2×C4—44no—
1963C2×C4—48no—
1964C2×C4—84no—
1965C2×C4—84no—
1966C2×C4—82no—
1967C2×C4—82no—
1968C2×C4—84no—
1969C2×C4—84no—
1970C2×C4—82no—
1971C2×C4—82no—
1972C2×C4—84no—
1973C2×C4—161no—
1974C2×C4—162no—
1975C2×C4—162no—
1976C2×C4—161no—
1977C2×C4—162no—
1978C2×C4—162no—
1979C2×C4C2×H(5,𝔽2)12yes—
1980C2×C4C2×2−1+414yes—
1981C2×C4#58512yes—
1982C22—22no—
1983C22—24no—
1984C22—24no—
1985C22—22no—
1986C22—24no—
1987C22—22no—
1988C22—41no—
1989C22—42no—
1990C22—42no—
1991C22—41no—
1992C22—42no—
1993C22—41no—
1994C22—41no—
1995C22—42no—
1996C22—42no—
1997C22—42no—
1998C22—42no—
1999C22—42no—
2000C22—42no—
2001C22—42no—
2002C22—42no—
2003C22C22×H(5,𝔽2)11yescharacteristic
2004C22C22×2−1+411yescharacteristic
2005C22C2×#58511yescharacteristic
2006C22H(7,𝔽2)11yescharacteristic
2007C222−1+611yescharacteristic
2008C222−1+611yescharacteristic
2009C222−1+611yescharacteristic
2010C4—24no—
2011C4—22no—
2012C4—22no—
2013C4—42no—
2014C4—42no—
2015C4—42no—
2016C4—42no—
2017C4—42no—
2018C4—42no—
2019C4—42no—
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—41no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—42no—
2030C4—42no—
2031C4—41no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C4—41no—
2037C4—41no—
2038C4—42no—
2039C4—42no—
2040C4—42no—
2041C4—42no—
2042C2—42no—
2043C2—44no—
2044C2—82no—
2045C2#6286511yescharacteristic
2046C2#6286611yescharacteristic
2047C2#6289811yescharacteristic
2048C2#6291511yescharacteristic
2049C2#6295911yescharacteristic
2050C2#6297911yescharacteristic
2051C2#6306511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#45972C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58708C2semidirect
2. #57718C2semidirect
3. #57704C2semidirect
4. #57513C2semidirect
5. #55638C2semidirect
6. #54669C2semidirect
7. #54241C2semidirect
8. #54236C2semidirect
9. #54061C2semidirect
10. #54028C2semidirect
11. #53951C2semidirect
12. #53574C2semidirect
13. #53205C2semidirect
14. #52631C2semidirect
15. #51675C2semidirect
16. #51539C2semidirect
17. #51505C2semidirect
18. #49503C2semidirect
19. #49032C2semidirect
20. #47199C2semidirect
21. #46377C2semidirect
23. #44843C2semidirect
24. #43957C2semidirect
25. #43075C2semidirect
26. #42956C2semidirect
27. #42003C2semidirect
28. #41965C2semidirect
29. #40864C2semidirect
30. #40619C2semidirect
31. #39798C2semidirect
32. #38923C2semidirect
33. #37763C2semidirect
34. #37212C2semidirect
35. #36752C2semidirect

Maximal subgroups

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

subgroupindex
#587082
#577182
#577042
#575132
#556382
#546692
#542412
#542362
#540612
#540282
#539512
#535742
#532052
#526312
#516752
#515392
#515052
#495032
#490322
#471992
#463772
#459722
#448432
#439572
#430752
#429562
#420032
#419652
#408642
#406192
#397982
#389232
#377632
#372122
#367522