Finite Group Databasebeta

← #9523984

Subgroups — #9523984

Order 512.

4067 conjugacy classes of subgroups.

The subgroup lattice has 2040 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58727C212yesmaximal, complemented
2#58575C212yesmaximal, complemented
3#58386C212yesmaximal, complemented
4#57044C212yesmaximal, complemented
5#56830C212yesmaximal, complemented
6#56615C212yesmaximal, complemented
7#56179C212yesmaximal, complemented
8#56065C212yesmaximal, complemented
9#55657C212yesmaximal, complemented
10#54397C212yesmaximal, complemented
11#54099C212yesmaximal, complemented
12#54023C212yesmaximal
13#53196C211yesmaximal, characteristic, complemented
14#52829C212yesmaximal, complemented
15#52077C212yesmaximal, complemented
16#51661C212yesmaximal, complemented
17#51625C212yesmaximal, complemented
18#50967C212yesmaximal, complemented
19#49459C212yesmaximal, complemented
20#46986C212yesmaximal, complemented
21#46815C212yesmaximal, complemented
22#46132C211yesmaximal, characteristic, complemented
23#43789C212yesmaximal, complemented
24#43784C212yesmaximal, complemented
25#43701C212yesmaximal, complemented
26#42793C212yesmaximal, complemented
27#42370C212yesmaximal, complemented
28#41817C212yesmaximal, complemented
29#41808C212yesmaximal, complemented
30#41541C212yesmaximal, complemented
31#39543C211yesmaximal, characteristic, complemented
32#39125C211yesmaximal, characteristic, complemented
33#37754C211yesmaximal, characteristic
34#37168C211yesmaximal, characteristic, complemented
35#36760C211yesmaximal, characteristic, complemented
36C2×#563C2211yescharacteristic, complemented
37C2×Q82C2211yescharacteristic, complemented
38C2×#543C2211yescharacteristic
39C2×#541C2212yes—
40C2×#529C2211yescharacteristic
41#2857C2211yescharacteristic
42#2855C2211yescharacteristic
43#2851C2211yescharacteristic
44#2851C2211yescharacteristic
45#2843C2212yescomplemented
46#2841C2212yes—
47#2839C2212yescomplemented
48#2838C2212yes—
49#2838C2212yescomplemented
50#2837C2212yes—
51#2837C2212yes—
52#2837C2212yes—
53#2836C2212yes—
54#2836C2212yes—
55#2833C2212yescomplemented
56#2833C2212yescomplemented
57#2831C2212yescomplemented
58#2830C2212yes—
59#2827C2212yes—
60#2822C2211yescharacteristic, complemented
61#2822C2211yescharacteristic, complemented
62#2821C2212yes—
63#2821C2212yes—
64#2817C2212yes—
65#2809C2212yescomplemented
66#2809C2212yescomplemented
67#2809C2211yescharacteristic, complemented
68#2808C2212yes—
69#2806C2211yescharacteristic, complemented
70#2806C2211yescharacteristic, complemented
71#2806C2212yescomplemented
72#2806C2211yescharacteristic, complemented
73#2806C2212yescomplemented
74#2805C2211yescharacteristic, complemented
75#2805C2211yescharacteristic, complemented
76#2805C2211yescharacteristic, complemented
77#2802C2212yescomplemented
78#2798C2212yes—
79#2798C2212yes—
80#2791C2212yescomplemented
81#2791C2212yescomplemented
82#2791C2212yescomplemented
83#2790C2212yes—
84#2789C2212yescomplemented
85#2788C2212yes—
86#2783C2212yes—
87#2781C2212yes—
88#2779C2212yes—
89#2779C2212yes—
90#2777C2212yes—
91#2775C2212yes—
92#2775C2212yes—
93#2775C2212yescomplemented
94#2775C2212yescomplemented
95#2773C2212yes—
96#2773C2212yescomplemented
97#2773C2212yescomplemented
98#2772C2212yes—
99#2772C2212yes—
100#2770C2212yes—
101#2769C2212yescomplemented
102#2768C2212yes—
103#2768C2212yescomplemented
104#2767C2212yescomplemented
105#2766C2212yescomplemented
106#2765C2212yes—
107#2764C2212yes—
108#2764C2212yes—
109#2763C2212yescomplemented
110#2762C2212yescomplemented
111#2758C2212yescomplemented
112#2758C2212yescomplemented
113#2758C2212yescomplemented
114#2756C2212yes—
115#2755C2212yescomplemented
116#2754C2212yes—
117#2754C2212yescomplemented
118#2752C2212yes—
119#2751C2212yes—
120#2750C2212yes—
121#2748C2212yes—
122#2747C2212yes—
123#2746C2212yes—
124#2744C2212yescomplemented
125#2743C2212yes—
126#2743C2212yes—
127#2743C2212yes—
128#2741C2212yes—
129#2740C2212yes—
130#2739C2212yes—
131#2739C2212yes—
132#2739C2212yescomplemented
133#2739C2212yescomplemented
134#2738C2212yes—
135#2738C2212yes—
136#2738C2212yescomplemented
137#2737C2212yes—
138#2737C2212yes—
139#2737C2212yes—
140#2732C2212yes—
141#2730C2212yes—
142#2729C2212yes—
143#2729C2212yes—
144#2728C2212yes—
145#2727C2212yes—
146#2726C2211yescharacteristic, complemented
147#2726C2212yescomplemented
148#2725C2212yes—
149#2725C2212yes—
150#2725C2212yescomplemented
151#2723C2212yes—
152#2723C2212yes—
153#2722C2212yes—
154#2722C2212yes—
155#2722C2212yescomplemented
156#2721C2212yes—
157#2720C2212yes—
158#2720C2212yes—
159#2720C2212yes—
160#2720C2212yescomplemented
161#2719C2212yescomplemented
162#2716C2212yes—
163#2716C2212yes—
164#2716C2212yes—
165#2716C2212yes—
166#2716C2212yescomplemented
167#2716C2212yescomplemented
168#2715C2212yes—
169#2713C2212yescomplemented
170#2713C2212yescomplemented
171#2713C2212yescomplemented
172#2713C2212yescomplemented
173#2708C2212yes—
174#2707C2212yescomplemented
175#2705C2212yes—
176#2704C2212yescomplemented
177#2704C2212yescomplemented
178#2702C2212yes—
179#2702C2212yes—
180#2698C2212yes—
181#2698C2212yes—
182#2698C2212yes—
183#2695C2212yes—
184#2690C2212yes—
185#2690C2212yes—
186#2690C2212yes—
187#2690C2212yes—
188#2690C2212yes—
189#2690C2212yescomplemented
190#2689C2212yes—
191#2689C2212yes—
192#2689C2212yes—
193#2689C2212yescomplemented
194#2687C2212yes—
195#2685C2212yes—
196#2685C2212yes—
197#2684C2212yes—
198#2684C2212yes—
199#2674C2212yes—
200#2674C2212yes—
201#2666C2212yescomplemented
202#2665C2212yescomplemented
203#2665C2212yescomplemented
204#2664C2212yescomplemented
205#2664C2212yescomplemented
206#2659C2212yescomplemented
207#2654C2212yes—
208#2654C2212yes—
209#2653C2212yes—
210#2653C2212yes—
211#2651C2212yes—
212#2651C2212yes—
213#2651C2212yes—
214#2650C2212yescomplemented
215#2649C2212yes—
216#2647C2212yescomplemented
217#2642C2212yescomplemented
218#2642C2212yescomplemented
219#2639C2211yescharacteristic
220#2638C2212yes—
221#2634C2212yescomplemented
222#2634C2212yescomplemented
223#2628C2212yes—
224#2628C2212yescomplemented
225#2627C2211yescharacteristic
226#2626C2211yescharacteristic
227#2626C2211yescharacteristic
228#2626C2211yescharacteristic
229#2617C2211yescharacteristic
230#2612C2212yescomplemented
231#2612C2212yescomplemented
232#2607C2212yescomplemented
233#2606C2212yescomplemented
234#2604C2212yes—
235#2604C2212yes—
236#2601C2212yes—
237#2601C2212yes—
238#2597C2212yes—
239#2596C2212yes—
240#2596C2212yes—
241#2596C2212yescomplemented
242#2594C2212yes—
243#2590C2212yescomplemented
244#2590C2212yescomplemented
245#2590C2212yescomplemented
246#2588C2212yescomplemented
247#2586C2212yescomplemented
248#2586C2212yescomplemented
249#2581C2212yescomplemented
250#2578C2212yes—
251#2578C2212yes—
252#2577C2212yes—
253#2575C2212yes—
254#2575C2212yescomplemented
255#2568C2212yescomplemented
256#2563C2211yescharacteristic, complemented
257#2561C2212yes—
258#2560C2212yes—
259#2558C2212yescomplemented
260#2556C2212yes—
261#2556C2212yes—
262#2556C2212yescomplemented
263#2554C2212yes—
264#2550C2212yescomplemented
265#2550C2212yescomplemented
266#2550C2212yescomplemented
267#2547C2212yes—
268#2538C2211yescharacteristic, complemented
269#2536C2212yes—
270#2533C2212yescomplemented
271#2533C2212yescomplemented
272#2532C2212yes—
273#2532C2212yes—
274#2532C2212yes—
275#2532C2212yescomplemented
276#2532C2212yescomplemented
277#2531C2212yescomplemented
278#2530C2212yescomplemented
279#2530C2212yescomplemented
280#2529C2212yes—
281#2528C2212yescomplemented
282#2528C2212yescomplemented
283#2527C2212yes—
284#2526C2212yes—
285#2525C2212yes—
286#2525C2212yescomplemented
287#2524C2212yescomplemented
288#2524C2212yescomplemented
289#2524C2212yescomplemented
290#2524C2212yescomplemented
291#2524C2212yescomplemented
292#2523C2212yes—
293#2522C2212yes—
294#2522C2212yes—
295#2521C2212yes—
296#2519C2212yes—
297#2519C2212yes—
298#2519C2212yescomplemented
299#2518C2212yes—
300#2516C2212yescomplemented
301#2512C2212yes—
302#2510C2212yes—
303#2509C2212yescomplemented
304#2508C2212yescomplemented
305#2506C2212yescomplemented
306#2505C2212yes—
307#2505C2212yes—
308#2499C2212yes—
309#2497C2212yescomplemented
310#2495C2212yescomplemented
311#2493C2212yescomplemented
312#2492C2212yes—
313#2492C2212yes—
314#2491C2212yes—
315#2489C2212yes—
316#2489C2212yes—
317#2488C2212yes—
318#2482C2212yes—
319#2482C2212yes—
320#2480C2212yes—
321#2480C2212yes—
322#2480C2212yes—
323#2480C2212yes—
324#2480C2212yes—
325#2478C2212yes—
326#2478C2212yes—
327#2478C2212yescomplemented
328#2477C2212yes—
329#2474C2212yes—
330#2474C2212yes—
331#2473C2212yes—
332#2468C2212yes—
333#2468C2212yes—
334#2465C2212yes—
335#2465C2212yes—
336#2463C2212yes—
337#2454C2212yes—
338#2450C2212yes—
339#2449C2212yes—
340#2448C2212yescomplemented
341#2446C2212yescomplemented
342#2446C2212yescomplemented
343#2438C2212yescomplemented
344#2423C2212yescomplemented
345#2421C2212yes—
346#2421C2212yes—
347#2421C2212yes—
348#2421C2212yescomplemented
349#2419C2212yescomplemented
350#2415C2212yes—
351#2412C2212yes—
352#2402C2212yescomplemented
353#2401C2212yes—
354#2396C2212yes—
355#2379C2211yescharacteristic, complemented
356#2378C2212yescomplemented
357#2373C2212yes—
358#2373C2212yes—
359#2372C2212yes—
360#2370C2212yescomplemented
361#2369C2212yescomplemented
362#2358C2212yes—
363#2356C2212yescomplemented
364#2355C2211yescharacteristic, complemented
365#2353C2212yes—
366#2343C2212yes—
367#2337C2212yes—
368#2336C2212yescomplemented
369#2334C2212yes—
370#2332C2212yes—
371#2329C2211yescharacteristic
372#2329C2211yescharacteristic
373#2329C2211yescharacteristic
374#2323C2212yescomplemented
375#2316C2211yescharacteristic
376#2312C2211yescharacteristic
377C4×C22⋊Q8C2211yescharacteristic
378C2×#388C2211yescharacteristic
379#563—44no—
380Q82—44no—
381#543—44no—
382#541—48no—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2311yescharacteristic
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389#529—44no—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#125C2311yescharacteristic
401C2×#125C2311yescharacteristic
402C2×#125C2311yescharacteristic
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#124C2311yescharacteristic
411C2×#124C2312yes—
412C2×#124C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2311yescharacteristic
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×#121C2311yescharacteristic
431C2×#120C2312yes—
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2311yescharacteristic
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×#117C2312yes—
441C2×#117C2312yes—
442C2×#117C2312yes—
443C22×C4⋊C4C2311yescharacteristic
444C22×C22⋊C4C2312yes—
445C22×C22⋊C4C2311yescharacteristic
446C22×C22⋊C4C2311yescharacteristic
447C22×C22⋊C4C2311yescharacteristic
448C22×C42C2311yescharacteristic
449#401C2312yes—
450#401C2312yes—
451#401C2312yes—
452#400C2312yes—
453#400C2312yes—
454#400C2312yes—
455#400C2312yes—
456#400C2312yes—
457#400C2312yes—
458#400C2312yes—
459#400C2312yes—
460#400C2312yes—
461#400C2312yes—
462#400C2312yes—
463#400C2312yes—
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#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#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#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#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#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#395C2312yes—
645#395C2312yes—
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#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#393C2312yes—
682#393C2312yes—
683#393C2312yes—
684#393C2312yes—
685#393C2312yes—
686#393C2312yes—
687#393C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#392C2312yes—
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#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#391C2312yes—
719#391C2312yes—
720#391C2311yescharacteristic
721#391C2311yescharacteristic
722#391C2311yescharacteristic
723#391C2311yescharacteristic
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#390C2312yes—
733#390C2312yes—
734#390C2312yes—
735#390C2312yes—
736#390C2312yes—
737#390C2312yes—
738#390C2312yes—
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#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#389C2311yescharacteristic
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#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#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#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#384C2312yes—
999#384C2311yescharacteristic
1000#384C2312yes—
1001#383C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#383C2312yes—
1005#383C2312yes—
1006#383C2312yes—
1007#383C2312yes—
1008#383C2312yes—
1009#383C2312yes—
1010#383C2312yes—
1011#382C2312yes—
1012#382C2311yescharacteristic
1013#382C2311yescharacteristic
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2311yescharacteristic
1036#380C2311yescharacteristic
1037#380C2311yescharacteristic
1038#380C2312yes—
1039#380C2311yescharacteristic
1040#380C2312yes—
1041#380C2312yes—
1042#380C2311yescharacteristic
1043#380C2311yescharacteristic
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#379C2312yes—
1056#379C2312yes—
1057#379C2312yes—
1058#379C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2312yes—
1081C4×C4⋊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—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095#376C2312yes—
1096#376C2312yes—
1097#376C2312yes—
1098#376C2312yes—
1099#376C2312yes—
1100C2×#95C2311yescharacteristic
1101C2×#95C2311yescharacteristic
1102C2×#95C2312yes—
1103C25C2411yescharacteristic
1104C22×Q8C2411yescharacteristic
1105C22×Q8C2412yes—
1106C22×Q8C2412yes—
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2412yes—
1111C22×Q8C2412yes—
1112C22×Q8C2411yescharacteristic
1113C22×D4C2412yes—
1114C22×D4C2411yescharacteristic
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C23×C4C2411yescharacteristic
1118C23×C4C2411yescharacteristic
1119C23×C4C2412yes—
1120C23×C4C2411yescharacteristic
1121C23×C4C2411yescharacteristic
1122C23×C4C2412yes—
1123C23×C4C2411yescharacteristic
1124C23×C4C2412yes—
1125C23×C4C2411yescharacteristic
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C4⋊Q8—28no—
1129C4⋊Q8—42no—
1130C4⋊Q8—44no—
1131C4⋊Q8—44no—
1132C4⋊Q8—44no—
1133C4⋊Q8—44no—
1134#126—44no—
1135#126—44no—
1136#126—44no—
1137#126—44no—
1138#126—44no—
1139#126—44no—
1140#126—44no—
1141#126—44no—
1142#126—44no—
1143#126—44no—
1144#125—42no—
1145#125—44no—
1146#125—44no—
1147#125—44no—
1148#125—42no—
1149#125—42no—
1150#125—44no—
1151#125—44no—
1152#125—44no—
1153#125—44no—
1154#124—24no—
1155#124—44no—
1156#124—44no—
1157#123—44no—
1158#123—44no—
1159C22⋊Q8—24no—
1160C22⋊Q8—28no—
1161C22⋊Q8—42no—
1162C22⋊Q8—42no—
1163C22⋊Q8—44no—
1164C22⋊Q8—44no—
1165C22⋊Q8—44no—
1166C22⋊Q8—44no—
1167C22⋊Q8—44no—
1168C22⋊Q8—44no—
1169C22⋊Q8—44no—
1170C22⋊Q8—42no—
1171C22⋊Q8—42no—
1172C22⋊Q8—44no—
1173C22⋊Q8—44no—
1174#121—42no—
1175#120—44no—
1176C4×Q8—24no—
1177C4×Q8—28no—
1178C4×Q8—42no—
1179C4×Q8—44no—
1180C4×Q8—44no—
1181C4×D4—44no—
1182C4×D4—42no—
1183C4×D4—44no—
1184#117—44no—
1185#117—44no—
1186#117—44no—
1187C2×C4⋊C4—42no—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2412yes—
1190C2×C4⋊C4C2411yescharacteristic
1191C2×C4⋊C4C2412yes—
1192C2×C4⋊C4C2411yescharacteristic
1193C2×C4⋊C4C2412yes—
1194C2×C4⋊C4C2412yes—
1195C2×C4⋊C4C2412yes—
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2411yescharacteristic
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1223C2×C4⋊C4C2411yescharacteristic
1224C2×C4⋊C4C2411yescharacteristic
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2411yescharacteristic
1235C2×C4⋊C4C2411yescharacteristic
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2411yescharacteristic
1242C2×C4⋊C4C2411yescharacteristic
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⋊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⋊C4C2412yes—
1275C2×C4⋊C4C2411yescharacteristic
1276C2×C4⋊C4C2411yescharacteristic
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2411yescharacteristic
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2411yescharacteristic
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C22⋊C4—42no—
1291C2×C22⋊C4—44no—
1292C2×C22⋊C4—42no—
1293C2×C22⋊C4—42no—
1294C2×C22⋊C4C2412yes—
1295C2×C22⋊C4C2412yes—
1296C2×C22⋊C4C2412yes—
1297C2×C22⋊C4C2412yes—
1298C2×C22⋊C4C2412yes—
1299C2×C22⋊C4C2412yes—
1300C2×C22⋊C4C2412yes—
1301C2×C22⋊C4C2412yes—
1302C2×C22⋊C4C2412yes—
1303C2×C22⋊C4C2412yes—
1304C2×C22⋊C4C2412yes—
1305C2×C22⋊C4C2412yes—
1306C2×C22⋊C4C2412yes—
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C22⋊C4C2412yes—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊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×C42—42no—
1356C2×C42C2412yes—
1357C2×C42C2412yes—
1358C2×C42C2412yes—
1359C2×C42C2411yescharacteristic
1360C2×C42C2412yes—
1361C2×C42C2412yes—
1362C2×C42C2411yescharacteristic
1363C2×C42C2411yescharacteristic
1364C2×C42C2412yes—
1365C2×C42C2412yes—
1366C2×C42C2412yes—
1367C2×C42C2412yes—
1368C2×C42C2412yes—
1369C2×C42C2412yes—
1370C2×C42C2412yes—
1371C2×C42C2412yes—
1372C2×C42C2412yes—
1373C2×C42C2411yescharacteristic
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387#95C2412yes—
1388#95C2412yes—
1389#95C2412yes—
1390#95C2412yes—
1391#95C2412yes—
1392#95C2412yes—
1393#95C2412yes—
1394#95C2412yes—
1395#95C2412yes—
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—
1511C24—22no—
1512C24—41no—
1513C24—41no—
1514C24—41no—
1515C24—41no—
1516C24—41no—
1517C24—41no—
1518C24C2512yes—
1519C24C2512yes—
1520C24C2511yescharacteristic
1521C2×Q8—24no—
1522C2×Q8—22no—
1523C2×Q8—41no—
1524C2×Q8—41no—
1525C2×Q8—41no—
1526C2×Q8—41no—
1527C2×Q8—42no—
1528C2×Q8—42no—
1529C2×Q8—41no—
1530C2×Q8—42no—
1531C2×Q8—41no—
1532C2×Q8—42no—
1533C2×Q8—41no—
1534C2×Q8—42no—
1535C2×Q8—42no—
1536C2×Q8—41no—
1537C2×Q8—42no—
1538C2×Q8—41no—
1539C2×Q8—42no—
1540C2×Q8—41no—
1541C2×Q8—42no—
1542C2×Q8—41no—
1543C2×Q8—41no—
1544C2×Q8—42no—
1545C2×Q8—42no—
1546C2×Q8—41no—
1547C2×Q8H(5,𝔽2)14yes—
1548C2×D4—24no—
1549C2×D4—22no—
1550C2×D4—42no—
1551C2×D4—42no—
1552C2×D4—42no—
1553C2×D4—41no—
1554C2×D4—41no—
1555C2×D4—42no—
1556C2×D4—42no—
1557C2×D4—42no—
1558C2×D4—42no—
1559C2×D4—42no—
1560C22×C4—22no—
1561C22×C4—22no—
1562C22×C4—22no—
1563C22×C4—24no—
1564C22×C4—22no—
1565C22×C4—24no—
1566C22×C4—41no—
1567C22×C4—41no—
1568C22×C4—41no—
1569C22×C4—41no—
1570C22×C4—42no—
1571C22×C4—41no—
1572C22×C4—42no—
1573C22×C4—41no—
1574C22×C4—42no—
1575C22×C4—41no—
1576C22×C4—42no—
1577C22×C4—41no—
1578C22×C4—41no—
1579C22×C4—42no—
1580C22×C4—41no—
1581C22×C4—41no—
1582C22×C4—42no—
1583C22×C4—42no—
1584C22×C4—41no—
1585C22×C4—41no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—41no—
1592C22×C4—42no—
1593C22×C4C2512yes—
1594C22×C4C2512yes—
1595C22×C4C2512yes—
1596C22×C4C2512yes—
1597C22×C4C2512yes—
1598C22×C4C2512yes—
1599C22×C4C2512yes—
1600C22×C4C2512yes—
1601C22×C4C2512yes—
1602C22×C4C2512yes—
1603C22×C4C2512yes—
1604C22×C4C2511yescharacteristic
1605C22×C4C2512yes—
1606C22×C4C2512yes—
1607C22×C4C2512yes—
1608C22×C4C2511yescharacteristic
1609C22×C4C2512yes—
1610C22×C4C2512yes—
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2511yescharacteristic
1619C22×C4C2511yescharacteristic
1620C22×C4C2512yes—
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2511yescharacteristic
1624C22×C4C2511yescharacteristic
1625C4⋊C4—24no—
1626C4⋊C4—22no—
1627C4⋊C4—22no—
1628C4⋊C4—24no—
1629C4⋊C4—24no—
1630C4⋊C4—24no—
1631C4⋊C4—24no—
1632C4⋊C4—24no—
1633C4⋊C4—24no—
1634C4⋊C4—24no—
1635C4⋊C4—24no—
1636C4⋊C4—24no—
1637C4⋊C4—24no—
1638C4⋊C4—24no—
1639C4⋊C4—24no—
1640C4⋊C4—24no—
1641C4⋊C4—22no—
1642C4⋊C4—24no—
1643C4⋊C4—24no—
1644C4⋊C4—42no—
1645C4⋊C4—42no—
1646C4⋊C4—42no—
1647C4⋊C4—42no—
1648C4⋊C4—41no—
1649C4⋊C4—42no—
1650C4⋊C4—42no—
1651C4⋊C4—42no—
1652C4⋊C4—42no—
1653C4⋊C4—42no—
1654C4⋊C4—41no—
1655C4⋊C4—42no—
1656C4⋊C4—42no—
1657C4⋊C4—42no—
1658C4⋊C4—42no—
1659C4⋊C4—42no—
1660C4⋊C4—42no—
1661C4⋊C4—42no—
1662C4⋊C4—41no—
1663C4⋊C4—42no—
1664C4⋊C4—42no—
1665C4⋊C4—42no—
1666C4⋊C4—42no—
1667C4⋊C4—41no—
1668C4⋊C4—41no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—41no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—41no—
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—41no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—41no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—41no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—41no—
1701C4⋊C4—42no—
1702C4⋊C4—41no—
1703C4⋊C4—41no—
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—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—41no—
1719C4⋊C4—41no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C22⋊C4—24no—
1728C22⋊C4—24no—
1729C22⋊C4—24no—
1730C22⋊C4—24no—
1731C22⋊C4—24no—
1732C22⋊C4—24no—
1733C22⋊C4—24no—
1734C22⋊C4—24no—
1735C22⋊C4—24no—
1736C22⋊C4—24no—
1737C22⋊C4—24no—
1738C22⋊C4—42no—
1739C22⋊C4—42no—
1740C22⋊C4—42no—
1741C22⋊C4—42no—
1742C22⋊C4—42no—
1743C22⋊C4—42no—
1744C22⋊C4—42no—
1745C22⋊C4—42no—
1746C22⋊C4—42no—
1747C22⋊C4—42no—
1748C22⋊C4—42no—
1749C22⋊C4—42no—
1750C22⋊C4—42no—
1751C22⋊C4—42no—
1752C22⋊C4—42no—
1753C22⋊C4—42no—
1754C22⋊C4—42no—
1755C22⋊C4—42no—
1756C22⋊C4—42no—
1757C22⋊C4—42no—
1758C22⋊C4—42no—
1759C22⋊C4—42no—
1760C22⋊C4—42no—
1761C22⋊C4—42no—
1762C22⋊C4—42no—
1763C22⋊C4—42no—
1764C22⋊C4—42no—
1765C22⋊C4—42no—
1766C22⋊C4—42no—
1767C22⋊C4—42no—
1768C22⋊C4—42no—
1769C22⋊C4—42no—
1770C22⋊C4—42no—
1771C22⋊C4—42no—
1772C22⋊C4—42no—
1773C22⋊C4—42no—
1774C22⋊C4—42no—
1775C22⋊C4—42no—
1776C22⋊C4—42no—
1777C22⋊C4—42no—
1778C22⋊C4—42no—
1779C22⋊C4—42no—
1780C22⋊C4—42no—
1781C22⋊C4—42no—
1782C22⋊C4—42no—
1783C22⋊C4—42no—
1784C22⋊C4—42no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C42—22no—
1789C42—22no—
1790C42—24no—
1791C42—24no—
1792C42—24no—
1793C42—24no—
1794C42—24no—
1795C42—41no—
1796C42—41no—
1797C42—42no—
1798C42—42no—
1799C42—42no—
1800C42—42no—
1801C42—42no—
1802C42—42no—
1803C42—42no—
1804C42—42no—
1805C42—42no—
1806C42—42no—
1807C42—42no—
1808C42—42no—
1809C42—42no—
1810C42—42no—
1811C42—42no—
1812C42—42no—
1813C42—42no—
1814C42—42no—
1815C42—42no—
1816C42—42no—
1817C42—42no—
1818C42—42no—
1819C23—21no—
1820C23—21no—
1821C23—21no—
1822C23—21no—
1823C23—21no—
1824C23—21no—
1825C23—22no—
1826C23—22no—
1827C23—22no—
1828C23—22no—
1829C23—22no—
1830C23—22no—
1831C23—22no—
1832C23—22no—
1833C23—22no—
1834C23—22no—
1835C23—22no—
1836C23—22no—
1837C23—22no—
1838C23—22no—
1839C23—44no—
1840C23—82no—
1841C23—82no—
1842C23—161no—
1843C23—161no—
1844C23—161no—
1845C23—161no—
1846C23#58512yes—
1847C23C2611yescharacteristic
1848Q8—44no—
1849Q8—44no—
1850Q8—84no—
1851Q8—161no—
1852Q8—162no—
1853Q8—161no—
1854Q8—161no—
1855Q8—162no—
1856Q8—162no—
1857D4—82no—
1858D4—84no—
1859D4—84no—
1860D4—162no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—22no—
1864C2×C4—21no—
1865C2×C4—22no—
1866C2×C4—21no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—21no—
1870C2×C4—21no—
1871C2×C4—21no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—21no—
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—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—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—21no—
1908C2×C4—21no—
1909C2×C4—21no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—21no—
1947C2×C4—21no—
1948C2×C4—22no—
1949C2×C4—21no—
1950C2×C4—21no—
1951C2×C4—22no—
1952C2×C4—21no—
1953C2×C4—22no—
1954C2×C4—44no—
1955C2×C4—82no—
1956C2×C4—84no—
1957C2×C4—82no—
1958C2×C4—84no—
1959C2×C4—82no—
1960C2×C4—162no—
1961C2×C4—161no—
1962C2×C4—162no—
1963C2×C4—162no—
1964C2×C4—161no—
1965C2×C4C2×H(5,𝔽2)14yes—
1966C2×C4C2×H(5,𝔽2)12yes—
1967C2×C4#58512yes—
1968C22—22no—
1969C22—22no—
1970C22—22no—
1971C22—41no—
1972C22—41no—
1973C22—41no—
1974C22—41no—
1975C22—42no—
1976C22—42no—
1977C22—42no—
1978C22—42no—
1979C22—42no—
1980C22—42no—
1981C22—42no—
1982C22—42no—
1983C22—42no—
1984C22—42no—
1985C22—42no—
1986C22—42no—
1987C22—42no—
1988C22—42no—
1989C22—164no—
1990C22C22×H(5,𝔽2)11yescharacteristic
1991C22C2×#58511yescharacteristic
1992C22C2×#58511yescharacteristic
1993C222−1+611yescharacteristic
1994C222−1+611yescharacteristic
1995C222−1+611yescharacteristic
1996C222−1+611yescharacteristic
1997C4—22no—
1998C4—24no—
1999C4—22no—
2000C4—42no—
2001C4—42no—
2002C4—42no—
2003C4—42no—
2004C4—42no—
2005C4—41no—
2006C4—42no—
2007C4—42no—
2008C4—42no—
2009C4—42no—
2010C4—42no—
2011C4—42no—
2012C4—42no—
2013C4—42no—
2014C4—42no—
2015C4—42no—
2016C4—42no—
2017C4—42no—
2018C4—41no—
2019C4—41no—
2020C4—42no—
2021C4—41no—
2022C4—42no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C2—42no—
2030C2—82no—
2031C2—82no—
2032C2#6287111yescharacteristic
2033C2#6287311yescharacteristic
2034C2#6290711yescharacteristic
2035C2#6291911yescharacteristic
2036C2#6291911yescharacteristic
2037C2#6298011yescharacteristic
2038C2#6306211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2617C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58727C2semidirect
2. #58575C2semidirect
3. #58386C2semidirect
4. #57044C2semidirect
5. #56830C2semidirect
6. #56615C2semidirect
7. #56179C2semidirect
8. #56065C2semidirect
9. #55657C2semidirect
10. #54397C2semidirect
11. #54099C2semidirect
13. #53196C2semidirect
14. #52829C2semidirect
15. #52077C2semidirect
16. #51661C2semidirect
17. #51625C2semidirect
18. #50967C2semidirect
19. #49459C2semidirect
20. #46986C2semidirect
21. #46815C2semidirect
22. #46132C2semidirect
23. #43789C2semidirect
24. #43784C2semidirect
25. #43701C2semidirect
26. #42793C2semidirect
27. #42370C2semidirect
28. #41817C2semidirect
29. #41808C2semidirect
30. #41541C2semidirect
31. #39543C2semidirect
32. #39125C2semidirect
34. #37168C2semidirect
35. #36760C2semidirect
36. C2×#563C22semidirect
37. C2×Q82C22semidirect
45. #2843C22semidirect
47. #2839C22semidirect
49. #2838C22semidirect
55. #2833C22semidirect
56. #2833C22semidirect
57. #2831C22semidirect
60. #2822C22semidirect
61. #2822C22semidirect
65. #2809C22semidirect
66. #2809C22semidirect
67. #2809C22semidirect
69. #2806C22semidirect
70. #2806C22semidirect
71. #2806C22semidirect
72. #2806C22semidirect
73. #2806C22semidirect
74. #2805C22semidirect
75. #2805C22semidirect
76. #2805C22semidirect
77. #2802C22semidirect
80. #2791C22semidirect
81. #2791C22semidirect
82. #2791C22semidirect
84. #2789C22semidirect
93. #2775C22semidirect
94. #2775C22semidirect
96. #2773C22semidirect
97. #2773C22semidirect
101. #2769C22semidirect
103. #2768C22semidirect
104. #2767C22semidirect
105. #2766C22semidirect
109. #2763C22semidirect
110. #2762C22semidirect
111. #2758C22semidirect
112. #2758C22semidirect
113. #2758C22semidirect
115. #2755C22semidirect
117. #2754C22semidirect
124. #2744C22semidirect
132. #2739C22semidirect
133. #2739C22semidirect
136. #2738C22semidirect
146. #2726C22semidirect
147. #2726C22semidirect
150. #2725C22semidirect
155. #2722C22semidirect
160. #2720C22semidirect
161. #2719C22semidirect
166. #2716C22semidirect
167. #2716C22semidirect
169. #2713C22semidirect
170. #2713C22semidirect
171. #2713C22semidirect
172. #2713C22semidirect
174. #2707C22semidirect
176. #2704C22semidirect
177. #2704C22semidirect
189. #2690C22semidirect
193. #2689C22semidirect
201. #2666C22semidirect
202. #2665C22semidirect
203. #2665C22semidirect
204. #2664C22semidirect
205. #2664C22semidirect
206. #2659C22semidirect
214. #2650C22semidirect
216. #2647C22semidirect
217. #2642C22semidirect
218. #2642C22semidirect
221. #2634C22semidirect
222. #2634C22semidirect
224. #2628C22semidirect
230. #2612C22semidirect
231. #2612C22semidirect
232. #2607C22semidirect
233. #2606C22semidirect
241. #2596C22semidirect
243. #2590C22semidirect
244. #2590C22semidirect
245. #2590C22semidirect
246. #2588C22semidirect
247. #2586C22semidirect
248. #2586C22semidirect
249. #2581C22semidirect
254. #2575C22semidirect
255. #2568C22semidirect
256. #2563C22semidirect
259. #2558C22semidirect
262. #2556C22semidirect
264. #2550C22semidirect
265. #2550C22semidirect
266. #2550C22semidirect
268. #2538C22semidirect
270. #2533C22semidirect
271. #2533C22semidirect
275. #2532C22semidirect
276. #2532C22semidirect
277. #2531C22semidirect
278. #2530C22semidirect
279. #2530C22semidirect
281. #2528C22semidirect
282. #2528C22semidirect
286. #2525C22semidirect
287. #2524C22semidirect
288. #2524C22semidirect
289. #2524C22semidirect
290. #2524C22semidirect
291. #2524C22semidirect
298. #2519C22semidirect
300. #2516C22semidirect
303. #2509C22semidirect
304. #2508C22semidirect
305. #2506C22semidirect
309. #2497C22semidirect
310. #2495C22semidirect
311. #2493C22semidirect
327. #2478C22semidirect
340. #2448C22semidirect
341. #2446C22semidirect
342. #2446C22semidirect
343. #2438C22semidirect
344. #2423C22semidirect
348. #2421C22semidirect
349. #2419C22semidirect
352. #2402C22semidirect
355. #2379C22semidirect
356. #2378C22semidirect
360. #2370C22semidirect
361. #2369C22semidirect
363. #2356C22semidirect
364. #2355C22semidirect
368. #2336C22semidirect
374. #2323C22semidirect

Maximal subgroups

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

subgroupindex
#587272
#585752
#583862
#570442
#568302
#566152
#561792
#560652
#556572
#543972
#540992
#540232
#531962
#528292
#520772
#516612
#516252
#509672
#494592
#469862
#468152
#461322
#437892
#437842
#437012
#427932
#423702
#418172
#418082
#415412
#395432
#391252
#377542
#371682
#367602