Finite Group Databasebeta

← #7696323

Subgroups — #7696323

Order 512.

4799 conjugacy classes of subgroups.

The subgroup lattice has 2083 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59783C212yesmaximal, complemented
2#59722C212yesmaximal, complemented
3#59659C211yesmaximal, characteristic, complemented
4#59156C212yesmaximal, complemented
5#59081C212yesmaximal, complemented
6#52302C211yesmaximal, characteristic, complemented
7#52157C212yesmaximal, complemented
8#44861C211yesmaximal, characteristic, complemented
9#44603C212yesmaximal, complemented
10#44169C212yesmaximal, complemented
11#44051C212yesmaximal, complemented
12#43929C212yesmaximal, complemented
13#43806C212yesmaximal, complemented
14#43804C211yesmaximal, characteristic, complemented
15#43665C212yesmaximal, complemented
16#43296C212yesmaximal, complemented
17#43041C212yesmaximal, complemented
18#40395C212yesmaximal, complemented
19#40329C212yesmaximal, complemented
20#40063C212yesmaximal, complemented
21#40015C212yesmaximal, complemented
22#39393C212yesmaximal, complemented
23#38745C212yesmaximal, complemented
24#38521C212yesmaximal, complemented
25#38319C212yesmaximal, complemented
26#38191C212yesmaximal, complemented
27#36383C211yesmaximal, characteristic, complemented
28#36140C212yesmaximal, complemented
29#36002C211yesmaximal, characteristic, complemented
30#35896C212yesmaximal, complemented
31#35797C212yesmaximal, complemented
32#35754C211yesmaximal, characteristic, complemented
33#34299C212yesmaximal, complemented
34#34285C212yesmaximal, complemented
35#34278C212yesmaximal, complemented
36C2×Q82C2211yescharacteristic
37C2×#555C2211yescharacteristic
38C2×#554C2212yes—
39C2×#542C2212yes—
40C2×#539C2212yes—
41C2×#533C2212yes—
42C2×#529C2212yes—
43#2864C2211yescharacteristic
44#2863C2212yes—
45#2855C2212yes—
46#2854C2212yes—
47#2850C2212yes—
48#2805C2212yes—
49#2804C2211yescharacteristic
50#2799C2211yescharacteristic
51#2799C2211yescharacteristic
52#2799C2211yescharacteristic
53#2794C2211yescharacteristic
54#2779C2212yes—
55#2777C2212yes—
56#2776C2212yes—
57#2776C2212yes—
58#2773C2212yes—
59#2772C2212yes—
60#2770C2212yes—
61#2769C2212yes—
62#2766C2212yes—
63#2762C2212yes—
64#2759C2212yes—
65#2756C2212yes—
66#2751C2212yes—
67#2750C2212yes—
68#2745C2212yes—
69#2744C2212yes—
70#2739C2212yes—
71#2737C2212yes—
72#2737C2212yes—
73#2731C2211yescharacteristic
74#2731C2212yes—
75#2731C2211yescharacteristic
76#2731C2212yes—
77#2730C2212yes—
78#2730C2212yes—
79#2729C2212yes—
80#2729C2212yes—
81#2729C2212yes—
82#2729C2212yes—
83#2729C2212yes—
84#2729C2212yes—
85#2729C2212yes—
86#2728C2212yes—
87#2728C2211yescharacteristic
88#2726C2212yes—
89#2725C2212yes—
90#2725C2212yes—
91#2723C2212yes—
92#2719C2212yes—
93#2716C2212yes—
94#2715C2212yes—
95#2711C2212yes—
96#2707C2212yes—
97#2705C2212yes—
98#2704C2212yes—
99#2702C2212yes—
100#2700C2212yes—
101#2696C2212yes—
102#2695C2212yes—
103#2690C2212yes—
104#2689C2212yes—
105#2689C2212yes—
106#2688C2212yes—
107#2687C2212yes—
108#2683C2211yescharacteristic
109#2681C2212yes—
110#2681C2212yes—
111#2680C2211yescharacteristic
112#2676C2212yes—
113#2674C2212yes—
114#2671C2212yes—
115#2654C2212yes—
116#2653C2212yes—
117#2651C2212yes—
118#2650C2212yes—
119#2649C2212yes—
120#2648C2212yes—
121#2632C2211yescharacteristic
122#2631C2211yescharacteristic
123#2630C2212yes—
124#2630C2212yes—
125#2611C2212yes—
126#2611C2212yes—
127#2608C2212yes—
128#2607C2212yes—
129#2606C2211yescharacteristic
130#2606C2212yes—
131#2605C2212yes—
132#2605C2211yescharacteristic
133#2602C2212yes—
134#2602C2212yes—
135#2597C2212yes—
136#2596C2212yes—
137#2596C2212yes—
138#2595C2212yes—
139#2594C2212yes—
140#2594C2212yes—
141#2593C2211yescharacteristic
142#2589C2212yes—
143#2589C2212yes—
144#2588C2212yes—
145#2587C2212yes—
146#2586C2211yescharacteristic
147#2581C2211yescharacteristic
148#2581C2211yescharacteristic
149#2577C2212yes—
150#2576C2212yes—
151#2574C2212yes—
152#2573C2212yes—
153#2573C2212yes—
154#2573C2212yes—
155#2572C2211yescharacteristic
156#2572C2212yes—
157#2568C2212yes—
158#2560C2212yes—
159#2560C2212yes—
160#2560C2212yes—
161#2559C2212yes—
162#2558C2212yes—
163#2558C2212yes—
164#2558C2212yes—
165#2557C2212yes—
166#2556C2212yes—
167#2556C2212yes—
168#2555C2211yescharacteristic
169#2553C2212yes—
170#2550C2212yes—
171#2550C2212yes—
172#2550C2212yes—
173#2546C2212yes—
174#2545C2211yescharacteristic
175#2545C2212yes—
176#2545C2211yescharacteristic
177#2538C2212yes—
178#2533C2212yes—
179#2533C2212yes—
180#2533C2212yes—
181#2532C2212yes—
182#2532C2212yes—
183#2532C2212yes—
184#2532C2212yes—
185#2529C2212yes—
186#2529C2212yes—
187#2527C2212yes—
188#2527C2212yes—
189#2526C2212yes—
190#2525C2212yes—
191#2525C2212yes—
192#2524C2212yes—
193#2524C2212yes—
194#2523C2212yes—
195#2523C2212yes—
196#2523C2212yes—
197#2522C2212yes—
198#2521C2212yes—
199#2521C2212yes—
200#2520C2212yes—
201#2519C2212yes—
202#2519C2212yes—
203#2519C2212yes—
204#2518C2212yes—
205#2518C2212yes—
206#2518C2212yes—
207#2516C2212yes—
208#2515C2212yes—
209#2515C2212yes—
210#2506C2212yes—
211#2493C2212yes—
212#2492C2212yes—
213#2492C2212yes—
214#2491C2212yes—
215#2491C2212yes—
216#2488C2212yes—
217#2488C2212yes—
218#2479C2212yes—
219#2478C2212yes—
220#2477C2212yes—
221#2476C2212yes—
222#2475C2212yes—
223#2475C2212yes—
224#2474C2212yes—
225#2474C2212yes—
226#2474C2212yes—
227#2473C2212yes—
228#2470C2212yes—
229#2469C2212yes—
230#2469C2212yes—
231#2469C2212yes—
232#2466C2212yes—
233#2466C2212yes—
234#2466C2212yes—
235#2465C2212yes—
236#2464C2212yes—
237#2464C2212yes—
238#2462C2212yes—
239#2462C2212yes—
240#2461C2212yes—
241#2460C2212yes—
242#2459C2212yes—
243#2459C2212yes—
244#2459C2212yes—
245#2459C2212yes—
246#2457C2212yes—
247#2456C2212yes—
248#2455C2212yes—
249#2453C2212yes—
250#2453C2212yes—
251#2453C2212yes—
252#2452C2212yes—
253#2451C2212yes—
254#2451C2212yes—
255#2449C2212yes—
256#2449C2212yes—
257#2448C2212yes—
258#2446C2212yes—
259#2446C2212yes—
260#2446C2212yes—
261#2446C2212yes—
262#2444C2212yes—
263#2443C2212yes—
264#2439C2212yes—
265#2439C2212yes—
266#2439C2212yes—
267#2439C2212yes—
268#2429C2212yes—
269#2429C2212yes—
270#2426C2212yes—
271#2426C2212yes—
272#2413C2212yes—
273#2413C2212yes—
274#2402C2212yes—
275#2401C2212yes—
276#2399C2211yescharacteristic
277#2398C2211yescharacteristic
278#2398C2212yes—
279#2398C2212yes—
280#2396C2212yes—
281#2396C2212yes—
282#2392C2212yes—
283#2392C2212yes—
284#2374C2212yes—
285#2374C2212yes—
286#2374C2212yes—
287#2374C2212yes—
288#2373C2212yes—
289#2373C2212yes—
290#2373C2212yes—
291#2373C2212yes—
292#2372C2212yes—
293#2372C2211yescharacteristic
294#2372C2211yescharacteristic
295#2371C2212yes—
296#2371C2212yes—
297#2371C2212yes—
298#2371C2212yes—
299#2370C2212yes—
300#2370C2212yes—
301#2369C2212yes—
302#2369C2212yes—
303#2368C2212yes—
304#2368C2212yes—
305#2368C2212yes—
306#2368C2212yes—
307#2367C2212yes—
308#2367C2212yes—
309#2367C2212yes—
310#2365C2212yes—
311#2365C2212yes—
312#2363C2212yes—
313#2362C2212yes—
314#2362C2212yes—
315#2362C2212yes—
316#2362C2212yes—
317#2362C2212yes—
318#2362C2212yes—
319#2362C2212yes—
320#2362C2212yes—
321#2361C2212yes—
322#2360C2212yes—
323#2360C2212yes—
324#2359C2212yes—
325#2359C2212yes—
326#2359C2212yes—
327#2359C2212yes—
328#2356C2211yescharacteristic
329#2356C2212yes—
330#2353C2212yes—
331#2353C2212yes—
332#2352C2212yes—
333#2351C2211yescharacteristic
334#2345C2212yes—
335#2344C2212yes—
336#2337C2212yes—
337#2337C2212yes—
338#2336C2212yes—
339#2336C2212yes—
340#2334C2212yes—
341#2334C2212yes—
342#2332C2212yes—
343#2332C2212yes—
344#2331C2212yes—
345#2329C2212yes—
346#2325C2212yes—
347#2323C2212yes—
348#2322C2212yes—
349#2322C2212yes—
350#2320C2212yes—
351#2313C2212yes—
352C4×C4⋊Q8C2211yescharacteristic
353C4×#126C2212yes—
354C4×#126C2212yes—
355C4×#124C2212yes—
356C4×#124C2212yes—
357C4×C22⋊Q8C2212yes—
358C4×C22⋊Q8C2212yes—
359C4×C22⋊Q8C2212yes—
360C4×C22⋊Q8C2212yes—
361C4×C22⋊Q8C2212yes—
362C4×#123C2212yes—
363C4×#123C2212yes—
364C4×#121C2212yes—
365#2298C2212yes—
366#2295C2212yes—
367#2293C2212yes—
368#2290C2212yes—
369#2290C2212yes—
370#2290C2212yes—
371#2290C2212yes—
372#2290C2212yes—
373#2276C2211yescharacteristic
374#2275C2211yescharacteristic
375#2275C2212yes—
376#2274C2212yes—
377C42×Q8C2211yescharacteristic
378C2×C4×C4⋊C4C2212yes—
379Q82—44no—
380#555—44no—
381#554—216no—
382#542—216no—
383#539—216no—
384#533—48no—
385C2×C4⋊Q8C2311yescharacteristic
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
390C2×C4⋊Q8C2312yes—
391C2×C4⋊Q8C2311yescharacteristic
392C2×C4⋊Q8C2312yes—
393C2×C4⋊Q8C2311yescharacteristic
394#529—48no—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#126C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#124C2312yes—
409C2×#124C2312yes—
410C2×#124C2312yes—
411C2×#124C2312yes—
412C2×#124C2312yes—
413C2×#124C2311yescharacteristic
414C2×#124C2311yescharacteristic
415C2×#124C2311yescharacteristic
416C2×#124C2311yescharacteristic
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C2×#117C2312yes—
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2312yes—
480C22×C42C2312yes—
481C22×C42C2312yes—
482C22×C42C2312yes—
483#401C2312yes—
484#401C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2311yescharacteristic
490#400C2312yes—
491#400C2311yescharacteristic
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2311yescharacteristic
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#400C2311yescharacteristic
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2311yescharacteristic
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2311yescharacteristic
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#397C2312yes—
550#397C2312yes—
551#397C2312yes—
552#397C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#396C2312yes—
571#396C2312yes—
572#396C2312yes—
573#396C2312yes—
574#396C2312yes—
575#396C2312yes—
576#396C2312yes—
577#396C2312yes—
578#396C2312yes—
579#396C2312yes—
580#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#395C2312yes—
593#395C2311yescharacteristic
594#395C2312yes—
595#395C2311yescharacteristic
596#395C2312yes—
597#395C2312yes—
598#395C2312yes—
599#395C2311yescharacteristic
600#395C2311yescharacteristic
601#395C2312yes—
602#395C2312yes—
603#395C2312yes—
604#394C2312yes—
605#394C2312yes—
606#394C2312yes—
607#394C2311yescharacteristic
608#394C2312yes—
609#394C2312yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2311yescharacteristic
620#394C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#393C2312yes—
627#393C2312yes—
628#393C2312yes—
629#393C2312yes—
630#393C2312yes—
631#393C2312yes—
632#393C2312yes—
633#393C2312yes—
634#393C2312yes—
635#393C2312yes—
636#393C2312yes—
637#393C2312yes—
638#393C2312yes—
639#393C2312yes—
640#392C2312yes—
641#392C2312yes—
642#392C2312yes—
643#392C2312yes—
644#392C2312yes—
645#391C2312yes—
646#391C2312yes—
647#391C2312yes—
648#391C2311yescharacteristic
649#391C2311yescharacteristic
650#391C2312yes—
651#391C2312yes—
652#391C2312yes—
653#391C2312yes—
654#391C2311yescharacteristic
655#391C2312yes—
656#391C2312yes—
657#391C2312yes—
658#391C2312yes—
659#391C2312yes—
660#391C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2311yescharacteristic
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#390C2311yescharacteristic
682#390C2312yes—
683#390C2312yes—
684#390C2311yescharacteristic
685#390C2312yes—
686#390C2312yes—
687#390C2312yes—
688#390C2312yes—
689#390C2312yes—
690#390C2312yes—
691#390C2312yes—
692#390C2312yes—
693#389C2312yes—
694#389C2312yes—
695#389C2312yes—
696#389C2312yes—
697#389C2312yes—
698#389C2312yes—
699#389C2312yes—
700#389C2312yes—
701#389C2312yes—
702#389C2312yes—
703#389C2312yes—
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2312yes—
708#389C2312yes—
709#389C2312yes—
710#389C2312yes—
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#388C2312yes—
738#388C2312yes—
739#388C2312yes—
740#388C2312yes—
741#388C2312yes—
742#388C2312yes—
743#388C2312yes—
744#388C2312yes—
745#388C2312yes—
746#388C2312yes—
747#388C2312yes—
748#388C2312yes—
749#388C2312yes—
750#388C2312yes—
751#388C2312yes—
752#388C2312yes—
753#388C2312yes—
754#388C2312yes—
755#388C2312yes—
756#388C2312yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
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#387C2312yes—
822#387C2312yes—
823#387C2312yes—
824#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
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#386C2312yes—
912#386C2312yes—
913#386C2312yes—
914#386C2312yes—
915#386C2312yes—
916#386C2312yes—
917#386C2312yes—
918#386C2312yes—
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#385C2312yes—
936#385C2312yes—
937#385C2312yes—
938#385C2312yes—
939#385C2312yes—
940#385C2312yes—
941#385C2312yes—
942#385C2312yes—
943#385C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#384C2311yescharacteristic
966#383C2312yes—
967#383C2312yes—
968#383C2312yes—
969#383C2312yes—
970#383C2312yes—
971#383C2312yes—
972#383C2312yes—
973#383C2311yescharacteristic
974#383C2311yescharacteristic
975#383C2312yes—
976#382C2312yes—
977#382C2312yes—
978#382C2312yes—
979#382C2312yes—
980#382C2311yescharacteristic
981#382C2311yescharacteristic
982#382C2312yes—
983#382C2312yes—
984#381C2312yes—
985#381C2312yes—
986#381C2312yes—
987#381C2312yes—
988#381C2312yes—
989#381C2312yes—
990#381C2312yes—
991#381C2312yes—
992#380C2312yes—
993#380C2312yes—
994#380C2312yes—
995#380C2312yes—
996#380C2312yes—
997#380C2312yes—
998#380C2312yes—
999#380C2312yes—
1000#380C2312yes—
1001C4×C4⋊C4C2312yes—
1002C4×C4⋊C4C2312yes—
1003C4×C4⋊C4C2312yes—
1004C4×C4⋊C4C2312yes—
1005C4×C4⋊C4C2312yes—
1006C4×C4⋊C4C2312yes—
1007C4×C4⋊C4C2312yes—
1008C4×C4⋊C4C2312yes—
1009C4×C4⋊C4C2312yes—
1010C4×C4⋊C4C2312yes—
1011C4×C4⋊C4C2312yes—
1012C4×C4⋊C4C2312yes—
1013C4×C4⋊C4C2312yes—
1014C4×C4⋊C4C2312yes—
1015C4×C4⋊C4C2312yes—
1016C4×C4⋊C4C2312yes—
1017C4×C4⋊C4C2312yes—
1018C4×C4⋊C4C2312yes—
1019C4×C4⋊C4C2312yes—
1020C4×C4⋊C4C2312yes—
1021C4×C4⋊C4C2312yes—
1022C4×C4⋊C4C2312yes—
1023C4×C4⋊C4C2312yes—
1024C4×C4⋊C4C2312yes—
1025C4×C4⋊C4C2312yes—
1026C4×C4⋊C4C2312yes—
1027C4×C4⋊C4C2312yes—
1028C4×C4⋊C4C2312yes—
1029C4×C4⋊C4C2312yes—
1030C4×C4⋊C4C2312yes—
1031C4×C4⋊C4C2312yes—
1032C4×C4⋊C4C2312yes—
1033C4×C4⋊C4C2311yescharacteristic
1034C4×C4⋊C4C2311yescharacteristic
1035C4×C4⋊C4C2311yescharacteristic
1036C4×C4⋊C4C2312yes—
1037C4×C4⋊C4C2312yes—
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C22⋊C4C2312yes—
1052C4×C22⋊C4C2312yes—
1053C4×C22⋊C4C2312yes—
1054C4×C22⋊C4C2312yes—
1055C4×C22⋊C4C2312yes—
1056C4×C22⋊C4C2312yes—
1057C4×C22⋊C4C2312yes—
1058C4×C22⋊C4C2312yes—
1059C4×C22⋊C4C2312yes—
1060C4×C22⋊C4C2312yes—
1061C4×C22⋊C4C2312yes—
1062C4×C22⋊C4C2312yes—
1063C4×C22⋊C4C2312yes—
1064C4×C22⋊C4C2312yes—
1065C4×C22⋊C4C2312yes—
1066C4×C22⋊C4C2312yes—
1067C4×C22⋊C4C2312yes—
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊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—
1090#376C2312yes—
1091#376C2312yes—
1092#376C2312yes—
1093#376C2311yescharacteristic
1094#376C2312yes—
1095#376C2311yescharacteristic
1096#376C2311yescharacteristic
1097#376C2311yescharacteristic
1098#376C2312yes—
1099#376C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C43C2311yescharacteristic
1104C43C2312yes—
1105C22×Q8C2411yescharacteristic
1106C22×Q8C2411yescharacteristic
1107C22×Q8C2412yes—
1108C22×Q8C2412yes—
1109C22×Q8C2412yes—
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2411yescharacteristic
1112C22×Q8C2411yescharacteristic
1113C22×Q8C2412yes—
1114C22×Q8C2411yescharacteristic
1115C22×D4C2411yescharacteristic
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2411yescharacteristic
1123C22×D4C2411yescharacteristic
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C4⋊Q8—28no—
1138C4⋊Q8—28no—
1139C4⋊Q8—28no—
1140C4⋊Q8—24no—
1141C4⋊Q8—44no—
1142C4⋊Q8—44no—
1143C4⋊Q8—44no—
1144C4⋊Q8—42no—
1145C4⋊Q8—42no—
1146#126—28no—
1147#126—28no—
1148#126—28no—
1149#126—28no—
1150#126—44no—
1151#126—44no—
1152#125—28no—
1153#125—28no—
1154#125—28no—
1155#125—28no—
1156#125—44no—
1157#125—44no—
1158#125—44no—
1159#124—28no—
1160#124—28no—
1161#124—28no—
1162#124—28no—
1163#124—44no—
1164#124—42no—
1165#124—42no—
1166#124—42no—
1167#124—42no—
1168#123—28no—
1169#123—28no—
1170#123—28no—
1171#123—28no—
1172#123—28no—
1173#123—28no—
1174#123—44no—
1175#123—44no—
1176C22⋊Q8—28no—
1177C22⋊Q8—28no—
1178C22⋊Q8—28no—
1179C22⋊Q8—28no—
1180C22⋊Q8—28no—
1181C22⋊Q8—28no—
1182C22⋊Q8—28no—
1183C22⋊Q8—28no—
1184C22⋊Q8—28no—
1185C22⋊Q8—28no—
1186C22⋊Q8—44no—
1187C22⋊Q8—44no—
1188C22⋊Q8—44no—
1189C22⋊Q8#41116yes—
1190#121—28no—
1191#121—28no—
1192#121—44no—
1193#121—44no—
1194#121—44no—
1195C4×Q8—28no—
1196C4×Q8—28no—
1197C4×Q8—28no—
1198C4×Q8—42no—
1199C4×Q8—42no—
1200C4×Q8—42no—
1201C4×Q8—42no—
1202C4×Q8—44no—
1203C4×Q8—44no—
1204C4×Q8—44no—
1205C4×Q8—44no—
1206C4×Q8—44no—
1207C4×Q8—44no—
1208C4×D4—28no—
1209C4×D4—28no—
1210C4×D4—28no—
1211C4×D4—28no—
1212C4×D4—28no—
1213C4×D4—28no—
1214C4×D4—44no—
1215C4×D4—44no—
1216C4×D4—44no—
1217C4×D4—44no—
1218C4×D4—42no—
1219C4×D4—44no—
1220#117—28no—
1221#117—44no—
1222#117—44no—
1223#117—44no—
1224#117—44no—
1225#117—44no—
1226#117—44no—
1227#117—44no—
1228C2×C4⋊C4—28no—
1229C2×C4⋊C4—28no—
1230C2×C4⋊C4—28no—
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⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊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⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2411yescharacteristic
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2411yescharacteristic
1293C2×C4⋊C4C2411yescharacteristic
1294C2×C4⋊C4C2411yescharacteristic
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×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×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C42—44no—
1382C2×C42—44no—
1383C2×C42—44no—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2411yescharacteristic
1392C2×C42C2411yescharacteristic
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2411yescharacteristic
1399C2×C42C2411yescharacteristic
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2411yescharacteristic
1405C2×C42C2411yescharacteristic
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2411yescharacteristic
1414C2×C42C2411yescharacteristic
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2411yescharacteristic
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431#95C2411yescharacteristic
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2411yescharacteristic
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2411yescharacteristic
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2411yescharacteristic
1452#95C2411yescharacteristic
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#95C2411yescharacteristic
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2411yescharacteristic
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#95C2411yescharacteristic
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2411yescharacteristic
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2411yescharacteristic
1544#95C2412yes—
1545C24C2512yes—
1546C24C2512yes—
1547C24C2512yes—
1548C2×Q8—24no—
1549C2×Q8—24no—
1550C2×Q8—24no—
1551C2×Q8—24no—
1552C2×Q8—24no—
1553C2×Q8—22no—
1554C2×Q8—42no—
1555C2×Q8—41no—
1556C2×Q8—41no—
1557C2×Q8—41no—
1558C2×Q8—42no—
1559C2×Q8—41no—
1560C2×Q8—42no—
1561C2×Q8—42no—
1562C2×Q8—41no—
1563C2×Q8—42no—
1564C2×Q8—41no—
1565C2×Q8—42no—
1566C2×Q8—42no—
1567C2×Q8—42no—
1568C2×Q8—41no—
1569C2×Q8—41no—
1570C2×Q8—41no—
1571C2×Q8—41no—
1572C2×Q8—41no—
1573C2×Q8—41no—
1574C2×Q8C2×#4118yes—
1575C2×Q8H(5,𝔽2)14yes—
1576C2×D4—24no—
1577C2×D4—24no—
1578C2×D4—24no—
1579C2×D4—24no—
1580C2×D4—24no—
1581C2×D4—24no—
1582C2×D4—24no—
1583C2×D4—24no—
1584C2×D4—42no—
1585C2×D4—41no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—41no—
1597C2×D4—41no—
1598C2×D4—41no—
1599C2×D4—41no—
1600C2×D4—41no—
1601C2×D4—41no—
1602C22×C4—24no—
1603C22×C4—24no—
1604C22×C4—24no—
1605C22×C4—24no—
1606C22×C4—24no—
1607C22×C4—24no—
1608C22×C4—24no—
1609C22×C4—24no—
1610C22×C4—24no—
1611C22×C4—24no—
1612C22×C4—24no—
1613C22×C4—24no—
1614C22×C4—24no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—42no—
1620C22×C4—42no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—42no—
1625C22×C4—42no—
1626C22×C4—42no—
1627C22×C4—42no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4—42no—
1631C22×C4—42no—
1632C22×C4—42no—
1633C22×C4—42no—
1634C22×C4—42no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—42no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4C2×#4118yes—
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2512yes—
1648C22×C4C2511yescharacteristic
1649C22×C4C2511yescharacteristic
1650C22×C4C2512yes—
1651C22×C4C2512yes—
1652C22×C4C2511yescharacteristic
1653C22×C4C2511yescharacteristic
1654C22×C4C2512yes—
1655C22×C4C2512yes—
1656C22×C4C2511yescharacteristic
1657C22×C4C2512yes—
1658C22×C4C2512yes—
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2512yes—
1665C22×C4C2512yes—
1666C22×C4C2512yes—
1667C22×C4C2512yes—
1668C22×C4C2512yes—
1669C22×C4C2512yes—
1670C22×C4C2512yes—
1671C22×C4C2511yescharacteristic
1672C22×C4C2511yescharacteristic
1673C4⋊C4—24no—
1674C4⋊C4—24no—
1675C4⋊C4—24no—
1676C4⋊C4—24no—
1677C4⋊C4—24no—
1678C4⋊C4—24no—
1679C4⋊C4—24no—
1680C4⋊C4—24no—
1681C4⋊C4—24no—
1682C4⋊C4—24no—
1683C4⋊C4—24no—
1684C4⋊C4—24no—
1685C4⋊C4—24no—
1686C4⋊C4—24no—
1687C4⋊C4—24no—
1688C4⋊C4—24no—
1689C4⋊C4—24no—
1690C4⋊C4—24no—
1691C4⋊C4—24no—
1692C4⋊C4—24no—
1693C4⋊C4—24no—
1694C4⋊C4—24no—
1695C4⋊C4—24no—
1696C4⋊C4—24no—
1697C4⋊C4—24no—
1698C4⋊C4—24no—
1699C4⋊C4—24no—
1700C4⋊C4—24no—
1701C4⋊C4—24no—
1702C4⋊C4—24no—
1703C4⋊C4—24no—
1704C4⋊C4—24no—
1705C4⋊C4—24no—
1706C4⋊C4—24no—
1707C4⋊C4—24no—
1708C4⋊C4—24no—
1709C4⋊C4—24no—
1710C4⋊C4—24no—
1711C4⋊C4—24no—
1712C4⋊C4—24no—
1713C4⋊C4—24no—
1714C4⋊C4—24no—
1715C4⋊C4—24no—
1716C4⋊C4—24no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—41no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—41no—
1741C4⋊C4—41no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—41no—
1745C4⋊C4—41no—
1746C4⋊C4—41no—
1747C4⋊C4—41no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4C2×#4118yes—
1756C4⋊C4C2×#4118yes—
1757C4⋊C4C2×#4118yes—
1758C22⋊C4—24no—
1759C22⋊C4—24no—
1760C22⋊C4—24no—
1761C22⋊C4—24no—
1762C22⋊C4—24no—
1763C22⋊C4—24no—
1764C22⋊C4—24no—
1765C22⋊C4—24no—
1766C22⋊C4—24no—
1767C22⋊C4—24no—
1768C22⋊C4—24no—
1769C22⋊C4—24no—
1770C22⋊C4—24no—
1771C22⋊C4—24no—
1772C22⋊C4—24no—
1773C22⋊C4—24no—
1774C22⋊C4—24no—
1775C22⋊C4—24no—
1776C22⋊C4—24no—
1777C22⋊C4—24no—
1778C22⋊C4—24no—
1779C22⋊C4—24no—
1780C22⋊C4—24no—
1781C22⋊C4—24no—
1782C22⋊C4—24no—
1783C22⋊C4—24no—
1784C22⋊C4—24no—
1785C22⋊C4—24no—
1786C22⋊C4—24no—
1787C22⋊C4—24no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4C2×#4118yes—
1822C22⋊C4C2×#4118yes—
1823C42—24no—
1824C42—24no—
1825C42—24no—
1826C42—24no—
1827C42—24no—
1828C42—24no—
1829C42—24no—
1830C42—24no—
1831C42—24no—
1832C42—24no—
1833C42—24no—
1834C42—24no—
1835C42—24no—
1836C42—24no—
1837C42—22no—
1838C42—24no—
1839C42—24no—
1840C42—22no—
1841C42—22no—
1842C42—22no—
1843C42—42no—
1844C42—42no—
1845C42—42no—
1846C42—42no—
1847C42—42no—
1848C42—42no—
1849C42—42no—
1850C42—42no—
1851C42—42no—
1852C42—42no—
1853C42—42no—
1854C42—41no—
1855C42—42no—
1856C42—42no—
1857C42—42no—
1858C42—42no—
1859C42—42no—
1860C42—41no—
1861C42—41no—
1862C42—42no—
1863C42—42no—
1864C42—42no—
1865C42—42no—
1866C42—41no—
1867C42—42no—
1868C42—41no—
1869C42—42no—
1870C23—22no—
1871C23—22no—
1872C23—22no—
1873C23—22no—
1874C23—22no—
1875C23—22no—
1876C23—22no—
1877C23—22no—
1878C23—22no—
1879C23—22no—
1880C23—22no—
1881C23—22no—
1882C23—22no—
1883C23—22no—
1884C23—22no—
1885C23—22no—
1886C23—22no—
1887C23—22no—
1888C23—22no—
1889C23—22no—
1890C23C22×#4114yes—
1891C23C2611yescharacteristic
1892Q8—48no—
1893Q8—44no—
1894Q8—44no—
1895Q8—44no—
1896Q8—84no—
1897Q8—84no—
1898Q8—84no—
1899Q8—82no—
1900Q8—161no—
1901Q8—161no—
1902D4—48no—
1903D4—44no—
1904D4—48no—
1905D4—84no—
1906D4—84no—
1907D4—84no—
1908D4—84no—
1909D4—161no—
1910D4—161no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—21no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—21no—
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—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—21no—
1952C2×C4—21no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—21no—
1960C2×C4—21no—
1961C2×C4—21no—
1962C2×C4—21no—
1963C2×C4—21no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—21no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—21no—
1994C2×C4—48no—
1995C2×C4—48no—
1996C2×C4—48no—
1997C2×C4—48no—
1998C2×C4—84no—
1999C2×C4—84no—
2000C2×C4—84no—
2001C2×C4—84no—
2002C2×C4—84no—
2003C2×C4—84no—
2004C2×C4—84no—
2005C2×C4—84no—
2006C2×C4—162no—
2007C2×C4C22×#4114yes—
2008C2×C4C22×#4114yes—
2009C2×C4C22×#4114yes—
2010C2×C4C22×#4114yes—
2011C2×C4C22×#4114yes—
2012C2×C4C22×#4114yes—
2013C2×C4C2×H(5,𝔽2)14yes—
2014C2×C4C2×H(5,𝔽2)12yes—
2015C2×C4#58512yes—
2016C22—24no—
2017C22—24no—
2018C22—24no—
2019C22—42no—
2020C22—42no—
2021C22—42no—
2022C22—42no—
2023C22—42no—
2024C22—42no—
2025C22—42no—
2026C22—42no—
2027C22—42no—
2028C22—42no—
2029C22—42no—
2030C22—42no—
2031C22—42no—
2032C22—42no—
2033C22—42no—
2034C22—42no—
2035C22—42no—
2036C22—42no—
2037C22C23×#4112yes—
2038C22C22×H(5,𝔽2)11yescharacteristic
2039C22C2×#58511yescharacteristic
2040C222−1+612yes—
2041C222−1+611yescharacteristic
2042C4—24no—
2043C4—24no—
2044C4—24no—
2045C4—24no—
2046C4—22no—
2047C4—24no—
2048C4—22no—
2049C4—24no—
2050C4—24no—
2051C4—42no—
2052C4—42no—
2053C4—42no—
2054C4—42no—
2055C4—42no—
2056C4—42no—
2057C4—42no—
2058C4—42no—
2059C4—42no—
2060C4—42no—
2061C4—42no—
2062C4—42no—
2063C4—42no—
2064C4—42no—
2065C4—42no—
2066C4—41no—
2067C4—41no—
2068C4—42no—
2069C4—42no—
2070C4—42no—
2071C4—41no—
2072C4—41no—
2073C4—41no—
2074C2—44no—
2075C2—82no—
2076C2—82no—
2077C2#41211yescharacteristic
2078C2#6285012yes—
2079C2#6290111yescharacteristic
2080C2#6298412yes—
2081C2#6306411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59783C2semidirect
2. #59722C2semidirect
3. #59659C2semidirect
4. #59156C2semidirect
5. #59081C2semidirect
6. #52302C2semidirect
7. #52157C2semidirect
8. #44861C2semidirect
9. #44603C2semidirect
10. #44169C2semidirect
11. #44051C2semidirect
12. #43929C2semidirect
13. #43806C2semidirect
14. #43804C2semidirect
15. #43665C2semidirect
16. #43296C2semidirect
17. #43041C2semidirect
18. #40395C2semidirect
19. #40329C2semidirect
20. #40063C2semidirect
21. #40015C2semidirect
22. #39393C2semidirect
23. #38745C2semidirect
24. #38521C2semidirect
25. #38319C2semidirect
26. #38191C2semidirect
27. #36383C2semidirect
28. #36140C2semidirect
29. #36002C2semidirect
30. #35896C2semidirect
31. #35797C2semidirect
32. #35754C2semidirect
33. #34299C2semidirect
34. #34285C2semidirect
35. #34278C2semidirect

Maximal subgroups

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

subgroupindex
#597832
#597222
#596592
#591562
#590812
#523022
#521572
#448612
#446032
#441692
#440512
#439292
#438062
#438042
#436652
#432962
#430412
#403952
#403292
#400632
#400152
#393932
#387452
#385212
#383192
#381912
#363832
#361402
#360022
#358962
#357972
#357542
#342992
#342852
#342782