Finite Group Databasebeta

← #8934672

Subgroups — #8934672

Order 512.

4376 conjugacy classes of subgroups.

The subgroup lattice has 2045 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59991C212yesmaximal, complemented
2#59983C212yesmaximal, complemented
3#59982C212yesmaximal, complemented
4#59944C212yesmaximal, complemented
5#59941C211yesmaximal, characteristic, complemented
6#59928C212yesmaximal, complemented
7#59923C211yesmaximal, characteristic, complemented
8#52077C212yesmaximal, complemented
9#51743C212yesmaximal, complemented
10#51719C212yesmaximal, complemented
11#51685C212yesmaximal, complemented
12#51665C212yesmaximal, complemented
13#51598C212yesmaximal, complemented
14#51594C212yesmaximal, complemented
15#51540C212yesmaximal, complemented
16#51538C212yesmaximal, complemented
17#50418C212yesmaximal, complemented
18#50410C212yesmaximal, complemented
19#50409C212yesmaximal, complemented
20#50194C212yesmaximal, complemented
21#50183C211yesmaximal, characteristic, complemented
22#49931C212yesmaximal, complemented
23#49930C212yesmaximal, complemented
24#49916C212yesmaximal, complemented
25#49606C212yesmaximal, complemented
26#49594C211yesmaximal, characteristic, complemented
27#47663C211yesmaximal, characteristic
28#47657C211yesmaximal, characteristic, complemented
29#47583C212yesmaximal, complemented
30#47577C212yesmaximal, complemented
31#35673C211yesmaximal, characteristic, complemented
32#35671C212yesmaximal, complemented
33#35609C212yesmaximal, complemented
34#35593C212yesmaximal, complemented
35#35582C212yesmaximal, complemented
36C2×#563C2212yes—
37C2×#541C2212yes—
38C2×#536C2211yescharacteristic
39C2×#519C2211yescharacteristic
40#2832C2211yescharacteristic
41#2830C2211yescharacteristic
42#2811C2211yescharacteristic
43#2809C2212yes—
44#2806C2212yes—
45#2806C2212yes—
46#2802C2212yes—
47#2802C2212yes—
48#2801C2212yes—
49#2800C2212yes—
50#2800C2212yes—
51#2800C2212yes—
52#2799C2211yescharacteristic
53#2799C2211yescharacteristic
54#2798C2212yes—
55#2792C2212yes—
56#2791C2212yes—
57#2791C2212yes—
58#2788C2212yes—
59#2786C2212yes—
60#2783C2212yes—
61#2781C2212yes—
62#2777C2212yes—
63#2777C2212yes—
64#2776C2212yes—
65#2774C2212yes—
66#2772C2212yes—
67#2772C2212yes—
68#2768C2212yes—
69#2766C2212yes—
70#2761C2212yes—
71#2759C2212yes—
72#2756C2212yes—
73#2755C2212yes—
74#2755C2212yes—
75#2754C2212yes—
76#2747C2212yes—
77#2745C2212yes—
78#2744C2212yes—
79#2744C2212yes—
80#2743C2212yes—
81#2742C2212yes—
82#2741C2212yes—
83#2740C2212yes—
84#2740C2212yes—
85#2738C2212yes—
86#2734C2211yescharacteristic
87#2734C2211yescharacteristic
88#2732C2212yes—
89#2732C2212yes—
90#2732C2212yes—
91#2730C2212yes—
92#2730C2212yes—
93#2730C2212yes—
94#2729C2212yes—
95#2729C2212yes—
96#2728C2211yescharacteristic
97#2727C2212yes—
98#2726C2212yes—
99#2726C2212yes—
100#2725C2212yes—
101#2725C2212yes—
102#2725C2212yes—
103#2723C2212yes—
104#2722C2212yes—
105#2722C2212yes—
106#2721C2212yes—
107#2721C2212yes—
108#2720C2212yes—
109#2719C2212yes—
110#2719C2212yes—
111#2716C2212yes—
112#2715C2212yes—
113#2715C2212yes—
114#2713C2212yes—
115#2707C2212yes—
116#2707C2212yes—
117#2705C2212yes—
118#2704C2212yes—
119#2704C2212yes—
120#2704C2212yes—
121#2702C2212yes—
122#2702C2212yes—
123#2700C2212yes—
124#2699C2211yescharacteristic
125#2695C2212yes—
126#2695C2212yes—
127#2694C2212yes—
128#2694C2212yes—
129#2690C2212yes—
130#2689C2212yes—
131#2686C2212yes—
132#2683C2211yescharacteristic
133#2681C2212yes—
134#2677C2212yes—
135#2674C2212yes—
136#2672C2212yes—
137#2672C2212yes—
138#2667C2211yescharacteristic
139#2667C2212yes—
140#2667C2212yes—
141#2667C2211yescharacteristic
142#2664C2212yes—
143#2664C2212yes—
144#2663C2212yes—
145#2663C2212yes—
146#2659C2212yes—
147#2659C2212yes—
148#2645C2212yes—
149#2625C2211yescharacteristic
150#2625C2212yes—
151#2616C2211yescharacteristic
152#2612C2212yes—
153#2612C2212yes—
154#2612C2212yes—
155#2612C2212yes—
156#2611C2212yes—
157#2611C2212yes—
158#2606C2212yes—
159#2606C2212yes—
160#2605C2212yes—
161#2605C2212yes—
162#2604C2212yes—
163#2604C2212yes—
164#2601C2212yes—
165#2601C2212yes—
166#2601C2212yes—
167#2601C2212yes—
168#2594C2212yes—
169#2594C2212yes—
170#2594C2212yes—
171#2593C2211yescharacteristic
172#2593C2212yes—
173#2590C2212yes—
174#2590C2212yes—
175#2590C2212yes—
176#2586C2211yescharacteristic
177#2586C2212yes—
178#2586C2212yes—
179#2586C2211yescharacteristic
180#2586C2211yescharacteristic
181#2586C2211yescharacteristic
182#2586C2212yes—
183#2585C2212yes—
184#2584C2212yes—
185#2584C2212yes—
186#2584C2212yes—
187#2583C2211yescharacteristic
188#2583C2211yescharacteristic
189#2582C2212yes—
190#2574C2212yes—
191#2574C2212yes—
192#2574C2212yes—
193#2574C2212yes—
194#2573C2212yes—
195#2572C2211yescharacteristic
196#2565C2212yes—
197#2565C2212yes—
198#2564C2212yes—
199#2564C2212yes—
200#2562C2212yes—
201#2560C2212yes—
202#2558C2212yes—
203#2556C2212yes—
204#2556C2212yes—
205#2556C2212yes—
206#2556C2212yes—
207#2556C2212yes—
208#2556C2212yes—
209#2554C2212yes—
210#2554C2212yes—
211#2553C2212yes—
212#2553C2212yes—
213#2552C2212yes—
214#2551C2212yes—
215#2550C2212yes—
216#2550C2212yes—
217#2549C2212yes—
218#2549C2212yes—
219#2538C2212yes—
220#2533C2212yes—
221#2533C2212yes—
222#2532C2212yes—
223#2531C2212yes—
224#2531C2212yes—
225#2531C2212yes—
226#2531C2212yes—
227#2530C2212yes—
228#2529C2212yes—
229#2529C2212yes—
230#2528C2212yes—
231#2528C2212yes—
232#2528C2212yes—
233#2527C2212yes—
234#2527C2212yes—
235#2527C2212yes—
236#2526C2212yes—
237#2526C2212yes—
238#2526C2212yes—
239#2522C2212yes—
240#2522C2212yes—
241#2522C2212yes—
242#2522C2212yes—
243#2521C2212yes—
244#2521C2212yes—
245#2520C2212yes—
246#2519C2212yes—
247#2519C2212yes—
248#2519C2212yes—
249#2518C2212yes—
250#2512C2212yes—
251#2509C2212yes—
252#2509C2212yes—
253#2506C2212yes—
254#2499C2212yes—
255#2498C2212yes—
256#2498C2212yes—
257#2498C2212yes—
258#2498C2212yes—
259#2498C2212yes—
260#2497C2212yes—
261#2496C2212yes—
262#2496C2212yes—
263#2494C2212yes—
264#2494C2212yes—
265#2493C2212yes—
266#2491C2212yes—
267#2485C2212yes—
268#2484C2211yescharacteristic
269#2479C2212yes—
270#2479C2212yes—
271#2479C2212yes—
272#2479C2212yes—
273#2478C2212yes—
274#2477C2212yes—
275#2476C2212yes—
276#2475C2212yes—
277#2475C2212yes—
278#2475C2212yes—
279#2475C2212yes—
280#2474C2212yes—
281#2471C2212yes—
282#2469C2212yes—
283#2469C2212yes—
284#2469C2212yes—
285#2467C2212yes—
286#2462C2212yes—
287#2462C2212yes—
288#2462C2212yes—
289#2462C2212yes—
290#2461C2212yes—
291#2453C2212yes—
292#2451C2212yes—
293#2451C2212yes—
294#2451C2212yes—
295#2448C2212yes—
296#2448C2212yes—
297#2448C2212yes—
298#2448C2212yes—
299#2446C2212yes—
300#2446C2212yes—
301#2446C2212yes—
302#2446C2212yes—
303#2441C2212yes—
304#2441C2212yes—
305#2439C2212yes—
306#2438C2212yes—
307#2438C2212yes—
308#2434C2212yes—
309#2432C2212yes—
310#2430C2212yes—
311#2429C2212yes—
312#2426C2212yes—
313#2423C2212yes—
314#2423C2212yes—
315#2423C2212yes—
316#2423C2212yes—
317#2423C2212yes—
318#2423C2212yes—
319#2423C2212yes—
320#2422C2212yes—
321#2421C2212yes—
322#2421C2212yes—
323#2419C2212yes—
324#2415C2212yes—
325#2409C2212yes—
326#2407C2212yes—
327#2406C2211yescharacteristic
328#2378C2211yescharacteristic
329#2378C2212yes—
330#2378C2212yes—
331#2378C2212yes—
332#2378C2211yescharacteristic
333#2378C2212yes—
334#2373C2212yes—
335#2372C2212yes—
336#2372C2212yes—
337#2372C2212yes—
338#2371C2212yes—
339#2369C2212yes—
340#2368C2212yes—
341#2368C2212yes—
342#2368C2212yes—
343#2368C2212yes—
344#2368C2212yes—
345#2368C2212yes—
346#2363C2212yes—
347#2362C2212yes—
348#2359C2212yes—
349#2346C2211yescharacteristic
350#2343C2212yes—
351#2341C2211yescharacteristic
352#2339C2212yes—
353#2331C2212yes—
354#2330C2212yes—
355#2330C2212yes—
356#2324C2212yes—
357#2323C2212yes—
358#2323C2212yes—
359#2323C2212yes—
360#2323C2212yes—
361#2320C2212yes—
362#2319C2212yes—
363#2316C2211yescharacteristic
364#2314C2212yes—
365#2311C2211yescharacteristic
366C4×C4⋊Q8C2212yes—
367C4×#124C2212yes—
368C4×C22⋊Q8C2212yes—
369#2298C2212yes—
370#2297C2211yescharacteristic
371#2295C2212yes—
372#2295C2212yes—
373#2295C2212yes—
374C2×#391C2211yescharacteristic
375#2293C2212yes—
376#2290C2212yes—
377#2285C2211yescharacteristic
378#2276C2212yes—
379C22×#41C2311yescharacteristic
380C22×#41C2311yescharacteristic
381C23×Q8C2311yescharacteristic
382#563—48no—
383#541—48no—
384#536—44no—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
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×#125C2312yes—
409C2×#124C2312yes—
410C2×#124C2312yes—
411C2×#124C2312yes—
412C2×#124C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2311yescharacteristic
429C2×C22⋊Q8C2311yescharacteristic
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436#519—44no—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×#117C2311yescharacteristic
450C2×#117C2312yes—
451C2×#117C2311yescharacteristic
452C2×#117C2311yescharacteristic
453C2×#117C2312yes—
454C2×#117C2312yes—
455C2×#117C2312yes—
456C2×#117C2312yes—
457C2×#117C2311yescharacteristic
458C2×#117C2312yes—
459C22×C4⋊C4C2311yescharacteristic
460C22×C42C2311yescharacteristic
461#401C2312yes—
462#401C2312yes—
463#401C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2311yescharacteristic
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2311yescharacteristic
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#399C2312yes—
493#399C2312yes—
494#399C2312yes—
495#399C2312yes—
496#399C2312yes—
497#399C2312yes—
498#399C2312yes—
499#399C2312yes—
500#399C2312yes—
501#399C2312yes—
502#399C2312yes—
503#399C2312yes—
504#399C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2312yes—
508#398C2312yes—
509#398C2312yes—
510#398C2312yes—
511#398C2312yes—
512#398C2312yes—
513#398C2312yes—
514#398C2312yes—
515#398C2312yes—
516#398C2312yes—
517#398C2311yescharacteristic
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2311yescharacteristic
523#398C2311yescharacteristic
524#398C2311yescharacteristic
525#398C2311yescharacteristic
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2311yescharacteristic
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#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#395C2311yescharacteristic
610#395C2312yes—
611#395C2311yescharacteristic
612#395C2312yes—
613#395C2311yescharacteristic
614#395C2311yescharacteristic
615#395C2311yescharacteristic
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2312yes—
620#395C2312yes—
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2311yescharacteristic
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2311yescharacteristic
637#394C2312yes—
638#394C2312yes—
639#394C2311yescharacteristic
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#393C2312yes—
653#393C2312yes—
654#393C2312yes—
655#393C2312yes—
656#393C2312yes—
657#393C2312yes—
658#393C2312yes—
659#392C2312yes—
660#392C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2311yescharacteristic
669#391C2311yescharacteristic
670#391C2311yescharacteristic
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2311yescharacteristic
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2311yescharacteristic
695#391C2312yes—
696#391C2312yes—
697#391C2311yescharacteristic
698#391C2312yes—
699#391C2312yes—
700#390C2312yes—
701#390C2311yescharacteristic
702#390C2311yescharacteristic
703#390C2312yes—
704#390C2312yes—
705#390C2312yes—
706#390C2312yes—
707#390C2312yes—
708#390C2312yes—
709#390C2312yes—
710#390C2312yes—
711#390C2312yes—
712#390C2312yes—
713#390C2312yes—
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#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
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#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
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#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#384C2312yes—
994#384C2312yes—
995#384C2312yes—
996#383C2312yes—
997#383C2312yes—
998#383C2312yes—
999#382C2312yes—
1000#382C2312yes—
1001#382C2312yes—
1002#382C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#381C2312yes—
1008#381C2312yes—
1009#381C2312yes—
1010#381C2312yes—
1011#381C2312yes—
1012#381C2311yescharacteristic
1013#381C2311yescharacteristic
1014#380C2312yes—
1015#380C2312yes—
1016#380C2312yes—
1017#380C2312yes—
1018#380C2312yes—
1019#380C2312yes—
1020#380C2312yes—
1021#380C2312yes—
1022#380C2312yes—
1023#380C2311yescharacteristic
1024#380C2311yescharacteristic
1025#380C2311yescharacteristic
1026#380C2311yescharacteristic
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
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×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
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×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2311yescharacteristic
1076C4×C22⋊C4C2311yescharacteristic
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—
1088#376C2312yes—
1089#376C2312yes—
1090#376C2312yes—
1091#376C2312yes—
1092#376C2312yes—
1093#376C2312yes—
1094#376C2312yes—
1095#376C2312yes—
1096#376C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C43C2312yes—
1102C2×#41—42no—
1103C2×#41—42no—
1104C2×#41—42no—
1105C2×#41—42no—
1106C2×#41—44no—
1107C22×Q8—24no—
1108C22×Q8—42no—
1109C22×Q8—42no—
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2412yes—
1112C22×Q8C2411yescharacteristic
1113C22×Q8C2412yes—
1114C22×Q8C2411yescharacteristic
1115C22×Q8C2411yescharacteristic
1116C22×Q8C2411yescharacteristic
1117C22×Q8C2412yes—
1118C22×Q8C2411yescharacteristic
1119C22×Q8C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2411yescharacteristic
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2411yescharacteristic
1126C23×C4C2411yescharacteristic
1127C23×C4C2412yes—
1128C23×C4C2411yescharacteristic
1129C23×C4C2411yescharacteristic
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C4⋊Q8—28no—
1138C4⋊Q8—44no—
1139C4⋊Q8—44no—
1140C4⋊Q8—44no—
1141C4⋊Q8—44no—
1142#126—44no—
1143#126—44no—
1144#126—44no—
1145#126—44no—
1146#126—44no—
1147#126—44no—
1148#126—44no—
1149#126—44no—
1150#126—44no—
1151#125—44no—
1152#125—44no—
1153#125—44no—
1154#125—44no—
1155#125—44no—
1156#125—44no—
1157#125—44no—
1158#125—44no—
1159#125—44no—
1160#125—44no—
1161#124—28no—
1162#124—44no—
1163#124—44no—
1164#124—44no—
1165#123—44no—
1166#123—44no—
1167#123—44no—
1168#123—44no—
1169#123—44no—
1170C22⋊Q8—28no—
1171C22⋊Q8—28no—
1172C22⋊Q8—28no—
1173C22⋊Q8—28no—
1174C22⋊Q8—28no—
1175C22⋊Q8—42no—
1176C22⋊Q8—44no—
1177C22⋊Q8—42no—
1178C22⋊Q8—44no—
1179C22⋊Q8—44no—
1180C22⋊Q8—44no—
1181C22⋊Q8—44no—
1182C22⋊Q8—44no—
1183C22⋊Q8—44no—
1184C22⋊Q8—44no—
1185C22⋊Q8—44no—
1186#121—44no—
1187#121—44no—
1188C4×Q8—28no—
1189C4×Q8—28no—
1190C4×Q8—44no—
1191C4×Q8—44no—
1192C4×Q8—44no—
1193C4×Q8—44no—
1194C4×Q8—44no—
1195C4×Q8—44no—
1196C4×Q8—44no—
1197C4×D4—44no—
1198C4×D4—44no—
1199C4×D4—44no—
1200#117—44no—
1201#117—42no—
1202#117—44no—
1203#117—44no—
1204#117—44no—
1205#117—42no—
1206#117—44no—
1207#117—44no—
1208#117—42no—
1209#117—42no—
1210C2×C4⋊C4—42no—
1211C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2411yescharacteristic
1248C2×C4⋊C4C2411yescharacteristic
1249C2×C4⋊C4C2411yescharacteristic
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2411yescharacteristic
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2411yescharacteristic
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊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⋊C4C2411yescharacteristic
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2411yescharacteristic
1335C2×C22⋊C4C2411yescharacteristic
1336C2×C22⋊C4C2411yescharacteristic
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×C42—42no—
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×C42C2411yescharacteristic
1387C2×C42C2412yes—
1388C2×C42C2411yescharacteristic
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2411yescharacteristic
1411C2×C42C2411yescharacteristic
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#95C2411yescharacteristic
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#95C2411yescharacteristic
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2411yescharacteristic
1466#95C2412yes—
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#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2411yescharacteristic
1517#95C2411yescharacteristic
1518#95C2412yes—
1519#95C2411yescharacteristic
1520#95C2412yes—
1521#95C2411yescharacteristic
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528C24C2512yes—
1529C24C2512yes—
1530C24C2511yescharacteristic
1531#41—88no—
1532#41—88no—
1533C2×Q8—22no—
1534C2×Q8—24no—
1535C2×Q8—24no—
1536C2×Q8—24no—
1537C2×Q8—24no—
1538C2×Q8—22no—
1539C2×Q8—42no—
1540C2×Q8—42no—
1541C2×Q8—41no—
1542C2×Q8—41no—
1543C2×Q8—41no—
1544C2×Q8—42no—
1545C2×Q8—41no—
1546C2×Q8—41no—
1547C2×Q8—42no—
1548C2×Q8—41no—
1549C2×Q8—42no—
1550C2×Q8—41no—
1551C2×Q8—42no—
1552C2×Q8—42no—
1553C2×Q8—41no—
1554C2×Q8—41no—
1555C2×Q8—42no—
1556C2×Q8—42no—
1557C2×Q8—42no—
1558C2×Q8—416no—
1559C2×Q8H(5,𝔽2)14yes—
1560C2×Q82−1+418yes—
1561C2×D4—24no—
1562C2×D4—24no—
1563C2×D4—24no—
1564C2×D4—24no—
1565C2×D4—22no—
1566C2×D4—42no—
1567C2×D4—42no—
1568C2×D4—42no—
1569C2×D4—42no—
1570C2×D4—41no—
1571C2×D4—41no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C2×D4—41no—
1575C2×D4—42no—
1576C2×D4—42no—
1577C2×D4—42no—
1578C22×C4—22no—
1579C22×C4—22no—
1580C22×C4—22no—
1581C22×C4—24no—
1582C22×C4—22no—
1583C22×C4—22no—
1584C22×C4—24no—
1585C22×C4—24no—
1586C22×C4—24no—
1587C22×C4—24no—
1588C22×C4—24no—
1589C22×C4—24no—
1590C22×C4—24no—
1591C22×C4—24no—
1592C22×C4—42no—
1593C22×C4—42no—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—42no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—42no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4C2512yes—
1610C22×C4C2511yescharacteristic
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C22×C4C2512yes—
1614C22×C4C2511yescharacteristic
1615C22×C4C2512yes—
1616C22×C4C2511yescharacteristic
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2511yescharacteristic
1620C22×C4C2512yes—
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2512yes—
1635C22×C4C2511yescharacteristic
1636C22×C4C2512yes—
1637C22×C4C2512yes—
1638C22×C4C2512yes—
1639C22×C4C2512yes—
1640C22×C4C2511yescharacteristic
1641C4⋊C4—24no—
1642C4⋊C4—24no—
1643C4⋊C4—24no—
1644C4⋊C4—24no—
1645C4⋊C4—24no—
1646C4⋊C4—24no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—24no—
1652C4⋊C4—24no—
1653C4⋊C4—24no—
1654C4⋊C4—24no—
1655C4⋊C4—24no—
1656C4⋊C4—24no—
1657C4⋊C4—24no—
1658C4⋊C4—24no—
1659C4⋊C4—24no—
1660C4⋊C4—24no—
1661C4⋊C4—24no—
1662C4⋊C4—24no—
1663C4⋊C4—24no—
1664C4⋊C4—24no—
1665C4⋊C4—24no—
1666C4⋊C4—24no—
1667C4⋊C4—24no—
1668C4⋊C4—24no—
1669C4⋊C4—24no—
1670C4⋊C4—24no—
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—24no—
1674C4⋊C4—24no—
1675C4⋊C4—24no—
1676C4⋊C4—41no—
1677C4⋊C4—41no—
1678C4⋊C4—41no—
1679C4⋊C4—41no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—41no—
1683C4⋊C4—41no—
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—41no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—41no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—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—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C22⋊C4—24no—
1744C22⋊C4—24no—
1745C22⋊C4—24no—
1746C22⋊C4—24no—
1747C22⋊C4—24no—
1748C22⋊C4—24no—
1749C22⋊C4—24no—
1750C22⋊C4—24no—
1751C22⋊C4—24no—
1752C22⋊C4—24no—
1753C22⋊C4—24no—
1754C22⋊C4—24no—
1755C22⋊C4—24no—
1756C22⋊C4—24no—
1757C22⋊C4—24no—
1758C22⋊C4—24no—
1759C22⋊C4—24no—
1760C22⋊C4—24no—
1761C22⋊C4—24no—
1762C22⋊C4—42no—
1763C22⋊C4—42no—
1764C22⋊C4—42no—
1765C22⋊C4—42no—
1766C22⋊C4—41no—
1767C22⋊C4—42no—
1768C22⋊C4—41no—
1769C22⋊C4—41no—
1770C22⋊C4—41no—
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—
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—
1803C42—24no—
1804C42—24no—
1805C42—24no—
1806C42—24no—
1807C42—24no—
1808C42—24no—
1809C42—24no—
1810C42—24no—
1811C42—24no—
1812C42—24no—
1813C42—24no—
1814C42—24no—
1815C42—41no—
1816C42—41no—
1817C42—42no—
1818C42—42no—
1819C42—42no—
1820C42—42no—
1821C42—42no—
1822C42—41no—
1823C42—41no—
1824C42—42no—
1825C42—42no—
1826C42—42no—
1827C42—42no—
1828C42—42no—
1829C42—42no—
1830C42—42no—
1831C42—42no—
1832C42—42no—
1833C42—42no—
1834C42—42no—
1835C42—42no—
1836C42—42no—
1837C42—42no—
1838C42—42no—
1839C42—42no—
1840C42—42no—
1841C23—21no—
1842C23—22no—
1843C23—22no—
1844C23—21no—
1845C23—22no—
1846C23—22no—
1847C23—22no—
1848C23—22no—
1849C23—22no—
1850C23—22no—
1851C23—22no—
1852C23—22no—
1853C23—22no—
1854C23—22no—
1855C23—22no—
1856C23—22no—
1857C23—22no—
1858C23—22no—
1859C23#58512yes—
1860C23C2611yescharacteristic
1861Q8—44no—
1862Q8—48no—
1863Q8—48no—
1864Q8—44no—
1865Q8—44no—
1866Q8—84no—
1867Q8—82no—
1868Q8—161no—
1869Q8—161no—
1870Q8—162no—
1871D4—48no—
1872D4—84no—
1873D4—82no—
1874D4—84no—
1875D4—82no—
1876D4—162no—
1877C2×C4—28no—
1878C2×C4—21no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—21no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—21no—
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—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—21no—
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—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—21no—
1961C2×C4—21no—
1962C2×C4—21no—
1963C2×C4—48no—
1964C2×C4—84no—
1965C2×C4—84no—
1966C2×C4—84no—
1967C2×C4—84no—
1968C2×C4—84no—
1969C2×C4—84no—
1970C2×C4—84no—
1971C2×C4—82no—
1972C2×C4—82no—
1973C2×C4C2×H(5,𝔽2)14yes—
1974C2×C4C2×H(5,𝔽2)12yes—
1975C2×C4C2×2−1+414yes—
1976C2×C4C2×2−1+414yes—
1977C2×C4C2×2−1+414yes—
1978C2×C4#58514yes—
1979C2×C4#58512yes—
1980C22—22no—
1981C22—22no—
1982C22—22no—
1983C22—42no—
1984C22—42no—
1985C22—42no—
1986C22—42no—
1987C22—42no—
1988C22—42no—
1989C22—42no—
1990C22—42no—
1991C22—42no—
1992C22—42no—
1993C22—42no—
1994C22—42no—
1995C22—42no—
1996C22—42no—
1997C22—42no—
1998C22—42no—
1999C22C22×H(5,𝔽2)11yescharacteristic
2000C22C22×2−1+412yes—
2001C22C2×#58511yescharacteristic
2002C22C2×#58512yes—
2003C22C2×#58511yescharacteristic
2004C4—24no—
2005C4—22no—
2006C4—22no—
2007C4—24no—
2008C4—24no—
2009C4—24no—
2010C4—24no—
2011C4—41no—
2012C4—41no—
2013C4—41no—
2014C4—42no—
2015C4—41no—
2016C4—42no—
2017C4—42no—
2018C4—42no—
2019C4—42no—
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C2—42no—
2037C2—82no—
2038C2—82no—
2039C2#6282011yescharacteristic
2040C2#6282312yes—
2041C2#6302611yescharacteristic
2042C2#6303811yescharacteristic
2043C2#6303912yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#47663C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59991C2semidirect
2. #59983C2semidirect
3. #59982C2semidirect
4. #59944C2semidirect
5. #59941C2semidirect
6. #59928C2semidirect
7. #59923C2semidirect
8. #52077C2semidirect
9. #51743C2semidirect
10. #51719C2semidirect
11. #51685C2semidirect
12. #51665C2semidirect
13. #51598C2semidirect
14. #51594C2semidirect
15. #51540C2semidirect
16. #51538C2semidirect
17. #50418C2semidirect
18. #50410C2semidirect
19. #50409C2semidirect
20. #50194C2semidirect
21. #50183C2semidirect
22. #49931C2semidirect
23. #49930C2semidirect
24. #49916C2semidirect
25. #49606C2semidirect
26. #49594C2semidirect
28. #47657C2semidirect
29. #47583C2semidirect
30. #47577C2semidirect
31. #35673C2semidirect
32. #35671C2semidirect
33. #35609C2semidirect
34. #35593C2semidirect
35. #35582C2semidirect

Maximal subgroups

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

subgroupindex
#599912
#599832
#599822
#599442
#599412
#599282
#599232
#520772
#517432
#517192
#516852
#516652
#515982
#515942
#515402
#515382
#504182
#504102
#504092
#501942
#501832
#499312
#499302
#499162
#496062
#495942
#476632
#476572
#475832
#475772
#356732
#356712
#356092
#355932
#355822