Finite Group Databasebeta

← #9243659

Subgroups — #9243659

Order 512.

4061 conjugacy classes of subgroups.

The subgroup lattice has 2030 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59242C211yesmaximal, characteristic, complemented
2#57312C212yesmaximal, complemented
3#57047C212yesmaximal, complemented
4#56884C212yesmaximal, complemented
5#56760C212yesmaximal, complemented
6#56718C212yesmaximal, complemented
7#55713C212yesmaximal, complemented
8#55187C212yesmaximal, complemented
9#54024C212yesmaximal
10#53869C212yesmaximal, complemented
11#53859C212yesmaximal, complemented
12#53769C212yesmaximal, complemented
13#53591C212yesmaximal, complemented
14#52830C212yesmaximal, complemented
15#52024C212yesmaximal, complemented
16#51540C212yesmaximal, complemented
17#50832C212yesmaximal, complemented
18#50566C212yesmaximal, complemented
19#50324C212yesmaximal, complemented
20#48970C212yesmaximal, complemented
21#48950C212yesmaximal, complemented
22#48834C212yesmaximal, complemented
23#46902C212yesmaximal, complemented
24#46781C212yesmaximal, complemented
25#45787C211yesmaximal, characteristic, complemented
26#44525C212yesmaximal, complemented
27#42304C212yesmaximal, complemented
28#41704C212yesmaximal, complemented
29#41671C212yesmaximal, complemented
30#41275C212yesmaximal, complemented
31#39839C211yesmaximal, characteristic, complemented
32#39508C211yesmaximal, characteristic, complemented
33#39353C211yesmaximal, characteristic, complemented
34#37866C211yesmaximal, characteristic
35#37460C211yesmaximal, characteristic, complemented
36C2×#563C2212yes—
37C2×#551C2212yes—
38C2×#541C2212yes—
39#2857C2211yescharacteristic
40#2854C2211yescharacteristic
41#2845C2212yescomplemented
42#2843C2212yescomplemented
43#2841C2212yes—
44#2839C2212yescomplemented
45#2839C2212yescomplemented
46#2839C2212yescomplemented
47#2838C2212yes—
48#2837C2212yes—
49#2837C2212yes—
50#2837C2212yes—
51#2836C2212yes—
52#2833C2212yescomplemented
53#2833C2212yescomplemented
54#2831C2212yes—
55#2831C2212yes—
56#2826C2212yes—
57#2822C2212yescomplemented
58#2821C2212yes—
59#2814C2212yes—
60#2810C2211yescharacteristic, complemented
61#2809C2212yescomplemented
62#2809C2212yescomplemented
63#2808C2211yescharacteristic, complemented
64#2807C2212yescomplemented
65#2806C2211yescharacteristic, complemented
66#2803C2212yes—
67#2802C2212yescomplemented
68#2798C2212yes—
69#2797C2212yes—
70#2796C2212yes—
71#2795C2212yes—
72#2795C2212yes—
73#2793C2212yes—
74#2793C2212yes—
75#2793C2212yescomplemented
76#2792C2212yescomplemented
77#2791C2212yescomplemented
78#2791C2212yescomplemented
79#2790C2212yes—
80#2790C2212yes—
81#2790C2212yes—
82#2787C2212yes—
83#2787C2212yes—
84#2787C2212yes—
85#2787C2212yes—
86#2786C2212yes—
87#2783C2212yes—
88#2783C2212yes—
89#2782C2212yes—
90#2780C2212yes—
91#2779C2212yescomplemented
92#2778C2212yes—
93#2777C2212yescomplemented
94#2776C2212yescomplemented
95#2776C2212yescomplemented
96#2776C2212yescomplemented
97#2774C2212yescomplemented
98#2772C2212yes—
99#2772C2212yes—
100#2772C2212yescomplemented
101#2770C2212yes—
102#2770C2212yes—
103#2770C2212yes—
104#2770C2212yes—
105#2770C2212yescomplemented
106#2769C2212yescomplemented
107#2768C2212yes—
108#2768C2212yescomplemented
109#2768C2212yescomplemented
110#2768C2212yescomplemented
111#2767C2212yescomplemented
112#2766C2212yescomplemented
113#2765C2212yes—
114#2765C2212yescomplemented
115#2764C2212yescomplemented
116#2761C2212yes—
117#2759C2212yes—
118#2759C2212yes—
119#2758C2212yescomplemented
120#2757C2212yes—
121#2755C2212yescomplemented
122#2755C2212yescomplemented
123#2755C2212yescomplemented
124#2747C2212yescomplemented
125#2746C2212yes—
126#2746C2212yescomplemented
127#2744C2212yescomplemented
128#2743C2212yescomplemented
129#2738C2212yes—
130#2738C2212yescomplemented
131#2734C2212yescomplemented
132#2734C2211yescharacteristic, complemented
133#2732C2211yescharacteristic, complemented
134#2732C2211yescharacteristic, complemented
135#2729C2212yescomplemented
136#2728C2212yes—
137#2727C2211yescharacteristic, complemented
138#2726C2211yescharacteristic, complemented
139#2725C2212yes—
140#2723C2212yes—
141#2722C2212yes—
142#2722C2212yes—
143#2722C2212yes—
144#2722C2212yes—
145#2722C2212yes—
146#2722C2212yes—
147#2721C2212yescomplemented
148#2721C2212yescomplemented
149#2721C2212yescomplemented
150#2720C2212yes—
151#2720C2212yescomplemented
152#2719C2212yescomplemented
153#2719C2212yescomplemented
154#2719C2212yescomplemented
155#2719C2212yescomplemented
156#2718C2212yes—
157#2718C2212yes—
158#2718C2212yes—
159#2716C2212yes—
160#2716C2212yes—
161#2716C2212yes—
162#2715C2212yes—
163#2715C2212yes—
164#2713C2212yescomplemented
165#2707C2212yes—
166#2707C2212yes—
167#2706C2212yes—
168#2704C2212yes—
169#2704C2212yes—
170#2704C2212yescomplemented
171#2702C2212yes—
172#2702C2212yes—
173#2700C2212yes—
174#2698C2212yes—
175#2698C2212yes—
176#2698C2212yes—
177#2698C2212yes—
178#2697C2212yes—
179#2695C2212yes—
180#2694C2212yes—
181#2690C2212yescomplemented
182#2690C2212yescomplemented
183#2689C2212yes—
184#2687C2212yes—
185#2687C2212yes—
186#2685C2212yes—
187#2685C2212yes—
188#2684C2212yes—
189#2680C2212yes—
190#2677C2212yescomplemented
191#2672C2212yes—
192#2666C2212yescomplemented
193#2666C2212yescomplemented
194#2666C2212yescomplemented
195#2666C2212yescomplemented
196#2664C2212yes—
197#2664C2212yes—
198#2664C2212yes—
199#2663C2212yes—
200#2659C2211yescharacteristic
201#2659C2211yescharacteristic
202#2655C2212yescomplemented
203#2654C2212yes—
204#2654C2212yes—
205#2654C2212yescomplemented
206#2654C2212yescomplemented
207#2654C2212yescomplemented
208#2652C2212yes—
209#2652C2212yes—
210#2651C2212yes—
211#2650C2212yes—
212#2650C2212yes—
213#2646C2211yescharacteristic
214#2646C2212yescomplemented
215#2637C2212yes—
216#2633C2212yes—
217#2632C2212yes—
218#2627C2211yescharacteristic
219#2626C2211yescharacteristic
220#2626C2211yescharacteristic
221#2626C2211yescharacteristic
222#2625C2212yes—
223#2617C2211yescharacteristic
224#2605C2212yescomplemented
225#2601C2212yes—
226#2599C2212yes—
227#2599C2212yescomplemented
228#2597C2212yes—
229#2596C2212yes—
230#2596C2212yescomplemented
231#2596C2212yescomplemented
232#2596C2212yescomplemented
233#2595C2212yes—
234#2595C2212yescomplemented
235#2594C2212yes—
236#2593C2212yes—
237#2593C2212yes—
238#2592C2212yes—
239#2590C2212yescomplemented
240#2589C2212yes—
241#2589C2212yes—
242#2588C2212yescomplemented
243#2588C2212yescomplemented
244#2587C2212yes—
245#2587C2212yes—
246#2585C2212yescomplemented
247#2585C2212yescomplemented
248#2585C2212yescomplemented
249#2582C2211yescharacteristic, complemented
250#2578C2212yes—
251#2577C2212yes—
252#2577C2212yes—
253#2577C2212yes—
254#2573C2212yescomplemented
255#2571C2212yescomplemented
256#2563C2212yes—
257#2561C2212yes—
258#2560C2212yescomplemented
259#2558C2212yes—
260#2558C2212yes—
261#2556C2212yescomplemented
262#2553C2212yes—
263#2553C2212yes—
264#2553C2212yes—
265#2552C2212yescomplemented
266#2552C2211yescharacteristic, complemented
267#2552C2211yescharacteristic, complemented
268#2552C2212yescomplemented
269#2550C2212yescomplemented
270#2550C2212yescomplemented
271#2549C2212yescomplemented
272#2546C2211yescharacteristic, complemented
273#2532C2212yescomplemented
274#2530C2212yes—
275#2530C2212yes—
276#2529C2212yescomplemented
277#2525C2212yes—
278#2525C2212yes—
279#2525C2212yescomplemented
280#2524C2212yescomplemented
281#2524C2212yescomplemented
282#2524C2212yescomplemented
283#2522C2212yescomplemented
284#2521C2212yes—
285#2521C2212yes—
286#2520C2212yescomplemented
287#2520C2212yescomplemented
288#2520C2212yescomplemented
289#2519C2212yes—
290#2519C2212yes—
291#2519C2212yes—
292#2519C2212yes—
293#2519C2212yescomplemented
294#2519C2212yescomplemented
295#2518C2212yes—
296#2518C2212yes—
297#2515C2212yes—
298#2515C2212yescomplemented
299#2514C2212yescomplemented
300#2514C2212yescomplemented
301#2510C2212yescomplemented
302#2509C2212yescomplemented
303#2507C2212yescomplemented
304#2506C2212yescomplemented
305#2505C2212yes—
306#2499C2212yes—
307#2498C2212yes—
308#2496C2212yes—
309#2496C2212yes—
310#2496C2212yes—
311#2496C2212yes—
312#2495C2212yes—
313#2493C2212yes—
314#2492C2212yes—
315#2489C2212yes—
316#2488C2212yes—
317#2480C2212yes—
318#2480C2212yes—
319#2480C2212yes—
320#2480C2212yes—
321#2480C2212yes—
322#2480C2212yes—
323#2480C2212yes—
324#2479C2212yes—
325#2478C2212yes—
326#2476C2212yes—
327#2475C2212yes—
328#2474C2212yes—
329#2473C2212yes—
330#2469C2212yes—
331#2469C2212yes—
332#2469C2212yescomplemented
333#2468C2212yes—
334#2468C2212yes—
335#2468C2212yes—
336#2466C2212yes—
337#2462C2212yescomplemented
338#2461C2212yes—
339#2453C2212yescomplemented
340#2450C2212yes—
341#2447C2212yes—
342#2446C2212yescomplemented
343#2446C2212yescomplemented
344#2439C2212yes—
345#2438C2212yescomplemented
346#2429C2212yescomplemented
347#2423C2212yescomplemented
348#2419C2212yes—
349#2417C2212yes—
350#2412C2212yes—
351#2402C2212yescomplemented
352#2396C2212yes—
353#2383C2212yes—
354#2378C2212yescomplemented
355#2373C2212yes—
356#2370C2212yescomplemented
357#2370C2212yescomplemented
358#2368C2212yes—
359#2365C2211yescharacteristic, complemented
360#2362C2212yescomplemented
361#2355C2211yescharacteristic, complemented
362#2355C2211yescharacteristic, complemented
363Q8×C4⋊C4C2211yescharacteristic, complemented
364#2347C2212yes—
365#2335C2212yes—
366#2335C2212yes—
367#2334C2212yes—
368#2332C2212yescomplemented
369#2325C2211yescharacteristic
370#2315C2211yescharacteristic
371#2314C2212yescomplemented
372#2313C2211yescharacteristic
373#2312C2211yescharacteristic
374C4×C22⋊Q8C2211yescharacteristic
375C4×C22⋊Q8C2211yescharacteristic
376C4×C22⋊Q8C2211yescharacteristic
377C2×#388C2211yescharacteristic
378#2285C2211yescharacteristic
379#563—48no—
380#551—48no—
381#541—48no—
382C2×C4⋊Q8C2312yes—
383C2×C4⋊Q8C2311yescharacteristic
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#124C2312yes—
409C2×#124C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×#121C2311yescharacteristic
427C2×#120C2312yes—
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2311yescharacteristic
432C2×C4×Q8C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C2×#117C2312yes—
438C22×C4⋊C4C2311yescharacteristic
439C22×C22⋊C4C2311yescharacteristic
440C22×C22⋊C4C2311yescharacteristic
441C22×C22⋊C4C2311yescharacteristic
442C22×C22⋊C4C2312yes—
443C22×C42C2311yescharacteristic
444#401C2312yes—
445#401C2312yes—
446#401C2312yes—
447#401C2312yes—
448#400C2312yes—
449#400C2312yes—
450#400C2312yes—
451#400C2312yes—
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#399C2312yes—
500#399C2312yes—
501#399C2312yes—
502#399C2312yes—
503#399C2312yes—
504#399C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#398C2312yes—
513#398C2312yes—
514#398C2312yes—
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
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#398C2312yes—
580#398C2312yes—
581#398C2312yes—
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#397C2312yes—
622#397C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
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#394C2312yes—
682#393C2312yes—
683#393C2312yes—
684#393C2312yes—
685#393C2312yes—
686#393C2312yes—
687#393C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#392C2312yes—
692#391C2312yes—
693#391C2311yescharacteristic
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2311yescharacteristic
713#391C2312yes—
714#391C2311yescharacteristic
715#390C2311yescharacteristic
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2311yescharacteristic
722#389C2311yescharacteristic
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2311yescharacteristic
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#389C2311yescharacteristic
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2311yescharacteristic
757#389C2311yescharacteristic
758#389C2312yes—
759#389C2311yescharacteristic
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2311yescharacteristic
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
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#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
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#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#384C2312yes—
992#384C2312yes—
993#384C2311yescharacteristic
994#384C2312yes—
995#384C2311yescharacteristic
996#384C2311yescharacteristic
997#384C2312yes—
998#384C2312yes—
999#383C2312yes—
1000#383C2312yes—
1001#383C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#383C2312yes—
1005#383C2312yes—
1006#383C2312yes—
1007#383C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#381C2312yes—
1021#381C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2311yescharacteristic
1031#380C2311yescharacteristic
1032#380C2311yescharacteristic
1033#380C2312yes—
1034#380C2312yes—
1035#380C2311yescharacteristic
1036#380C2311yescharacteristic
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2311yescharacteristic
1042#380C2312yes—
1043#380C2311yescharacteristic
1044#380C2311yescharacteristic
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#379C2312yes—
1051#379C2312yes—
1052#379C2312yes—
1053#379C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2311yescharacteristic
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2311yescharacteristic
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2311yescharacteristic
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097#376C2312yes—
1098C2×#95C2311yescharacteristic
1099C2×#95C2311yescharacteristic
1100C2×#95C2312yes—
1101C25C2411yescharacteristic
1102C22×Q8C2411yescharacteristic
1103C22×Q8C2411yescharacteristic
1104C22×Q8C2411yescharacteristic
1105C22×Q8C2412yes—
1106C22×Q8C2412yes—
1107C22×Q8C2412yes—
1108C22×D4C2412yes—
1109C22×D4C2412yes—
1110C22×D4C2412yes—
1111C22×D4C2411yescharacteristic
1112C23×C4C2411yescharacteristic
1113C23×C4C2411yescharacteristic
1114C23×C4C2411yescharacteristic
1115C23×C4C2411yescharacteristic
1116C23×C4C2412yes—
1117C23×C4C2412yes—
1118C23×C4C2411yescharacteristic
1119C23×C4C2412yes—
1120C23×C4C2412yes—
1121C23×C4C2412yes—
1122C23×C4C2411yescharacteristic
1123C4⋊Q8—42no—
1124C4⋊Q8—44no—
1125C4⋊Q8—44no—
1126C4⋊Q8—44no—
1127#126—44no—
1128#126—44no—
1129#126—44no—
1130#126—44no—
1131#126—44no—
1132#126—44no—
1133#126—44no—
1134#126—44no—
1135#126—44no—
1136#126—44no—
1137#126—44no—
1138#126—44no—
1139#126—44no—
1140#125—44no—
1141#125—44no—
1142#125—44no—
1143#125—44no—
1144#125—44no—
1145#125—44no—
1146#125—44no—
1147#125—44no—
1148#125—44no—
1149#124—44no—
1150#124—44no—
1151#123—28no—
1152#123—44no—
1153#123—44no—
1154#123—44no—
1155#123—44no—
1156C22⋊Q8—24no—
1157C22⋊Q8—28no—
1158C22⋊Q8—24no—
1159C22⋊Q8—44no—
1160C22⋊Q8—44no—
1161C22⋊Q8—44no—
1162C22⋊Q8—44no—
1163C22⋊Q8—44no—
1164C22⋊Q8—44no—
1165C22⋊Q8—44no—
1166C22⋊Q8—42no—
1167#121—42no—
1168#120—44no—
1169C4×Q8—42no—
1170C4×Q8—42no—
1171C4×Q8—42no—
1172C4×Q8—44no—
1173C4×Q8—44no—
1174C4×D4—44no—
1175C4×D4—44no—
1176#117—28no—
1177#117—44no—
1178#117—44no—
1179C2×C4⋊C4—42no—
1180C2×C4⋊C4C2412yes—
1181C2×C4⋊C4C2412yes—
1182C2×C4⋊C4C2412yes—
1183C2×C4⋊C4C2412yes—
1184C2×C4⋊C4C2412yes—
1185C2×C4⋊C4C2411yescharacteristic
1186C2×C4⋊C4C2412yes—
1187C2×C4⋊C4C2412yes—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2412yes—
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2412yes—
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2411yescharacteristic
1194C2×C4⋊C4C2412yes—
1195C2×C4⋊C4C2411yescharacteristic
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2411yescharacteristic
1208C2×C4⋊C4C2411yescharacteristic
1209C2×C4⋊C4C2411yescharacteristic
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2411yescharacteristic
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊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⋊C4C2411yescharacteristic
1249C2×C4⋊C4C2411yescharacteristic
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2411yescharacteristic
1252C2×C4⋊C4C2411yescharacteristic
1253C2×C4⋊C4C2411yescharacteristic
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2411yescharacteristic
1257C2×C4⋊C4C2411yescharacteristic
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2411yescharacteristic
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1276C2×C4⋊C4C2411yescharacteristic
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2411yescharacteristic
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C22⋊C4—24no—
1290C2×C22⋊C4—42no—
1291C2×C22⋊C4—42no—
1292C2×C22⋊C4—44no—
1293C2×C22⋊C4C2412yes—
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×C42—42no—
1355C2×C42C2412yes—
1356C2×C42C2412yes—
1357C2×C42C2412yes—
1358C2×C42C2411yescharacteristic
1359C2×C42C2411yescharacteristic
1360C2×C42C2412yes—
1361C2×C42C2412yes—
1362C2×C42C2412yes—
1363C2×C42C2412yes—
1364C2×C42C2412yes—
1365C2×C42C2412yes—
1366C2×C42C2412yes—
1367C2×C42C2412yes—
1368C2×C42C2412yes—
1369C2×C42C2412yes—
1370C2×C42C2412yes—
1371C2×C42C2412yes—
1372C2×C42C2412yes—
1373C2×C42C2412yes—
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2411yescharacteristic
1384C2×C42C2412yes—
1385C2×C42C2411yescharacteristic
1386#95C2412yes—
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—
1506C24—22no—
1507C24—41no—
1508C24—41no—
1509C24—41no—
1510C24—41no—
1511C24—41no—
1512C24—41no—
1513C24C2512yes—
1514C24C2512yes—
1515C24C2511yescharacteristic
1516C2×Q8—22no—
1517C2×Q8—24no—
1518C2×Q8—22no—
1519C2×Q8—22no—
1520C2×Q8—41no—
1521C2×Q8—41no—
1522C2×Q8—41no—
1523C2×Q8—41no—
1524C2×Q8—42no—
1525C2×Q8—41no—
1526C2×Q8—41no—
1527C2×Q8—42no—
1528C2×Q8—42no—
1529C2×Q8—42no—
1530C2×Q8—42no—
1531C2×Q8—42no—
1532C2×Q8—42no—
1533C2×Q8—42no—
1534C2×D4—24no—
1535C2×D4—42no—
1536C2×D4—42no—
1537C2×D4—42no—
1538C2×D4—42no—
1539C2×D4—42no—
1540C2×D4—42no—
1541C2×D4—41no—
1542C2×D4—42no—
1543C2×D4—41no—
1544C2×D4—41no—
1545C2×D4—42no—
1546C22×C4—22no—
1547C22×C4—22no—
1548C22×C4—22no—
1549C22×C4—41no—
1550C22×C4—41no—
1551C22×C4—41no—
1552C22×C4—42no—
1553C22×C4—41no—
1554C22×C4—42no—
1555C22×C4—42no—
1556C22×C4—41no—
1557C22×C4—41no—
1558C22×C4—41no—
1559C22×C4—42no—
1560C22×C4—42no—
1561C22×C4—42no—
1562C22×C4—41no—
1563C22×C4—42no—
1564C22×C4—41no—
1565C22×C4—41no—
1566C22×C4—41no—
1567C22×C4—42no—
1568C22×C4—42no—
1569C22×C4—42no—
1570C22×C4—42no—
1571C22×C4—42no—
1572C22×C4—42no—
1573C22×C4—41no—
1574C22×C4—41no—
1575C22×C4—41no—
1576C22×C4—42no—
1577C22×C4—42no—
1578C22×C4H(5,𝔽2)14yes—
1579C22×C4C2511yescharacteristic
1580C22×C4C2512yes—
1581C22×C4C2512yes—
1582C22×C4C2512yes—
1583C22×C4C2512yes—
1584C22×C4C2512yes—
1585C22×C4C2512yes—
1586C22×C4C2512yes—
1587C22×C4C2512yes—
1588C22×C4C2512yes—
1589C22×C4C2511yescharacteristic
1590C22×C4C2512yes—
1591C22×C4C2512yes—
1592C22×C4C2512yes—
1593C22×C4C2512yes—
1594C22×C4C2512yes—
1595C22×C4C2512yes—
1596C22×C4C2512yes—
1597C22×C4C2512yes—
1598C22×C4C2512yes—
1599C22×C4C2512yes—
1600C22×C4C2512yes—
1601C22×C4C2512yes—
1602C22×C4C2512yes—
1603C22×C4C2512yes—
1604C22×C4C2512yes—
1605C22×C4C2512yes—
1606C22×C4C2512yes—
1607C22×C4C2511yescharacteristic
1608C22×C4C2511yescharacteristic
1609C22×C4C2511yescharacteristic
1610C22×C4C2511yescharacteristic
1611C4⋊C4—24no—
1612C4⋊C4—24no—
1613C4⋊C4—24no—
1614C4⋊C4—22no—
1615C4⋊C4—24no—
1616C4⋊C4—24no—
1617C4⋊C4—24no—
1618C4⋊C4—24no—
1619C4⋊C4—22no—
1620C4⋊C4—24no—
1621C4⋊C4—24no—
1622C4⋊C4—24no—
1623C4⋊C4—24no—
1624C4⋊C4—24no—
1625C4⋊C4—24no—
1626C4⋊C4—22no—
1627C4⋊C4—24no—
1628C4⋊C4—24no—
1629C4⋊C4—42no—
1630C4⋊C4—41no—
1631C4⋊C4—41no—
1632C4⋊C4—41no—
1633C4⋊C4—41no—
1634C4⋊C4—41no—
1635C4⋊C4—42no—
1636C4⋊C4—41no—
1637C4⋊C4—42no—
1638C4⋊C4—41no—
1639C4⋊C4—42no—
1640C4⋊C4—42no—
1641C4⋊C4—42no—
1642C4⋊C4—42no—
1643C4⋊C4—42no—
1644C4⋊C4—42no—
1645C4⋊C4—42no—
1646C4⋊C4—42no—
1647C4⋊C4—42no—
1648C4⋊C4—42no—
1649C4⋊C4—42no—
1650C4⋊C4—42no—
1651C4⋊C4—42no—
1652C4⋊C4—42no—
1653C4⋊C4—41no—
1654C4⋊C4—42no—
1655C4⋊C4—42no—
1656C4⋊C4—42no—
1657C4⋊C4—42no—
1658C4⋊C4—42no—
1659C4⋊C4—42no—
1660C4⋊C4—42no—
1661C4⋊C4—41no—
1662C4⋊C4—42no—
1663C4⋊C4—42no—
1664C4⋊C4—42no—
1665C4⋊C4—41no—
1666C4⋊C4—42no—
1667C4⋊C4—42no—
1668C4⋊C4—41no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—41no—
1674C4⋊C4—41no—
1675C4⋊C4—41no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—41no—
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—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—41no—
1719C4⋊C4—41no—
1720C22⋊C4—24no—
1721C22⋊C4—24no—
1722C22⋊C4—24no—
1723C22⋊C4—24no—
1724C22⋊C4—24no—
1725C22⋊C4—24no—
1726C22⋊C4—24no—
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—42no—
1736C22⋊C4—42no—
1737C22⋊C4—42no—
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—
1781C42—24no—
1782C42—24no—
1783C42—22no—
1784C42—22no—
1785C42—24no—
1786C42—24no—
1787C42—41no—
1788C42—41no—
1789C42—42no—
1790C42—42no—
1791C42—42no—
1792C42—42no—
1793C42—42no—
1794C42—42no—
1795C42—42no—
1796C42—42no—
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—
1812C23—21no—
1813C23—21no—
1814C23—21no—
1815C23—21no—
1816C23—21no—
1817C23—21no—
1818C23—22no—
1819C23—22no—
1820C23—22no—
1821C23—22no—
1822C23—22no—
1823C23—22no—
1824C23—22no—
1825C23—22no—
1826C23—22no—
1827C23—22no—
1828C23—22no—
1829C23—22no—
1830C23—22no—
1831C23—22no—
1832C23—44no—
1833C23—82no—
1834C23—82no—
1835C23—161no—
1836C23—161no—
1837C23—161no—
1838C23—161no—
1839C23C2×H(5,𝔽2)12yes—
1840C23C2611yescharacteristic
1841Q8—44no—
1842Q8—84no—
1843Q8—82no—
1844Q8—82no—
1845Q8—162no—
1846Q8—162no—
1847D4—84no—
1848D4—84no—
1849D4—161no—
1850D4—162no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—21no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—21no—
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—21no—
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—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—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—21no—
1939C2×C4—21no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—44no—
1944C2×C4—82no—
1945C2×C4—82no—
1946C2×C4—82no—
1947C2×C4—84no—
1948C2×C4—84no—
1949C2×C4—161no—
1950C2×C4—162no—
1951C2×C4—161no—
1952C2×C4—162no—
1953C2×C4—162no—
1954C2×C4C2×H(5,𝔽2)12yes—
1955C2×C4C2×H(5,𝔽2)12yes—
1956C2×C4#58512yes—
1957C2×C4#58512yes—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—41no—
1962C22—41no—
1963C22—41no—
1964C22—41no—
1965C22—42no—
1966C22—42no—
1967C22—42no—
1968C22—42no—
1969C22—42no—
1970C22—42no—
1971C22—42no—
1972C22—42no—
1973C22—42no—
1974C22—42no—
1975C22—42no—
1976C22—42no—
1977C22—42no—
1978C22—42no—
1979C22—164no—
1980C22C22×H(5,𝔽2)11yescharacteristic
1981C22C2×#58511yescharacteristic
1982C22C2×#58511yescharacteristic
1983C222−1+611yescharacteristic
1984C222−1+611yescharacteristic
1985C222−1+611yescharacteristic
1986C222−1+611yescharacteristic
1987C4—22no—
1988C4—22no—
1989C4—22no—
1990C4—22no—
1991C4—42no—
1992C4—42no—
1993C4—42no—
1994C4—42no—
1995C4—42no—
1996C4—42no—
1997C4—42no—
1998C4—41no—
1999C4—42no—
2000C4—42no—
2001C4—42no—
2002C4—42no—
2003C4—42no—
2004C4—42no—
2005C4—42no—
2006C4—42no—
2007C4—42no—
2008C4—42no—
2009C4—42no—
2010C4—41no—
2011C4—42no—
2012C4—42no—
2013C4—42no—
2014C4—42no—
2015C4—42no—
2016C4—42no—
2017C4—42no—
2018C4—42no—
2019C2—42no—
2020C2—82no—
2021C2—82no—
2022C2#6287311yescharacteristic
2023C2#6288811yescharacteristic
2024C2#6290111yescharacteristic
2025C2#6291111yescharacteristic
2026C2#6293111yescharacteristic
2027C2#6297911yescharacteristic
2028C2#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. #59242C2semidirect
2. #57312C2semidirect
3. #57047C2semidirect
4. #56884C2semidirect
5. #56760C2semidirect
6. #56718C2semidirect
7. #55713C2semidirect
8. #55187C2semidirect
10. #53869C2semidirect
11. #53859C2semidirect
12. #53769C2semidirect
13. #53591C2semidirect
14. #52830C2semidirect
15. #52024C2semidirect
16. #51540C2semidirect
17. #50832C2semidirect
18. #50566C2semidirect
19. #50324C2semidirect
20. #48970C2semidirect
21. #48950C2semidirect
22. #48834C2semidirect
23. #46902C2semidirect
24. #46781C2semidirect
25. #45787C2semidirect
26. #44525C2semidirect
27. #42304C2semidirect
28. #41704C2semidirect
29. #41671C2semidirect
30. #41275C2semidirect
31. #39839C2semidirect
32. #39508C2semidirect
33. #39353C2semidirect
35. #37460C2semidirect
41. #2845C22semidirect
42. #2843C22semidirect
44. #2839C22semidirect
45. #2839C22semidirect
46. #2839C22semidirect
52. #2833C22semidirect
53. #2833C22semidirect
57. #2822C22semidirect
60. #2810C22semidirect
61. #2809C22semidirect
62. #2809C22semidirect
63. #2808C22semidirect
64. #2807C22semidirect
65. #2806C22semidirect
67. #2802C22semidirect
75. #2793C22semidirect
76. #2792C22semidirect
77. #2791C22semidirect
78. #2791C22semidirect
91. #2779C22semidirect
93. #2777C22semidirect
94. #2776C22semidirect
95. #2776C22semidirect
96. #2776C22semidirect
97. #2774C22semidirect
100. #2772C22semidirect
105. #2770C22semidirect
106. #2769C22semidirect
108. #2768C22semidirect
109. #2768C22semidirect
110. #2768C22semidirect
111. #2767C22semidirect
112. #2766C22semidirect
114. #2765C22semidirect
115. #2764C22semidirect
119. #2758C22semidirect
121. #2755C22semidirect
122. #2755C22semidirect
123. #2755C22semidirect
124. #2747C22semidirect
126. #2746C22semidirect
127. #2744C22semidirect
128. #2743C22semidirect
130. #2738C22semidirect
131. #2734C22semidirect
132. #2734C22semidirect
133. #2732C22semidirect
134. #2732C22semidirect
135. #2729C22semidirect
137. #2727C22semidirect
138. #2726C22semidirect
147. #2721C22semidirect
148. #2721C22semidirect
149. #2721C22semidirect
151. #2720C22semidirect
152. #2719C22semidirect
153. #2719C22semidirect
154. #2719C22semidirect
155. #2719C22semidirect
164. #2713C22semidirect
170. #2704C22semidirect
181. #2690C22semidirect
182. #2690C22semidirect
190. #2677C22semidirect
192. #2666C22semidirect
193. #2666C22semidirect
194. #2666C22semidirect
195. #2666C22semidirect
202. #2655C22semidirect
205. #2654C22semidirect
206. #2654C22semidirect
207. #2654C22semidirect
214. #2646C22semidirect
224. #2605C22semidirect
227. #2599C22semidirect
230. #2596C22semidirect
231. #2596C22semidirect
232. #2596C22semidirect
234. #2595C22semidirect
239. #2590C22semidirect
242. #2588C22semidirect
243. #2588C22semidirect
246. #2585C22semidirect
247. #2585C22semidirect
248. #2585C22semidirect
249. #2582C22semidirect
254. #2573C22semidirect
255. #2571C22semidirect
258. #2560C22semidirect
261. #2556C22semidirect
265. #2552C22semidirect
266. #2552C22semidirect
267. #2552C22semidirect
268. #2552C22semidirect
269. #2550C22semidirect
270. #2550C22semidirect
271. #2549C22semidirect
272. #2546C22semidirect
273. #2532C22semidirect
276. #2529C22semidirect
279. #2525C22semidirect
280. #2524C22semidirect
281. #2524C22semidirect
282. #2524C22semidirect
283. #2522C22semidirect
286. #2520C22semidirect
287. #2520C22semidirect
288. #2520C22semidirect
293. #2519C22semidirect
294. #2519C22semidirect
298. #2515C22semidirect
299. #2514C22semidirect
300. #2514C22semidirect
301. #2510C22semidirect
302. #2509C22semidirect
303. #2507C22semidirect
304. #2506C22semidirect
332. #2469C22semidirect
337. #2462C22semidirect
339. #2453C22semidirect
342. #2446C22semidirect
343. #2446C22semidirect
345. #2438C22semidirect
346. #2429C22semidirect
347. #2423C22semidirect
351. #2402C22semidirect
354. #2378C22semidirect
356. #2370C22semidirect
357. #2370C22semidirect
359. #2365C22semidirect
360. #2362C22semidirect
361. #2355C22semidirect
362. #2355C22semidirect
363. Q8×C4⋊C4C22semidirect
368. #2332C22semidirect
371. #2314C22semidirect

Maximal subgroups

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

subgroupindex
#592422
#573122
#570472
#568842
#567602
#567182
#557132
#551872
#540242
#538692
#538592
#537692
#535912
#528302
#520242
#515402
#508322
#505662
#503242
#489702
#489502
#488342
#469022
#467812
#457872
#445252
#423042
#417042
#416712
#412752
#398392
#395082
#393532
#378662
#374602