Finite Group Databasebeta

← #9515349

Subgroups — #9515349

Order 512.

4185 conjugacy classes of subgroups.

The subgroup lattice has 2063 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58665C212yesmaximal, complemented
2#58665C212yesmaximal, complemented
3#58397C212yesmaximal, complemented
4#57684C212yesmaximal, complemented
5#57240C212yesmaximal, complemented
6#55864C212yesmaximal, complemented
7#55839C212yesmaximal, complemented
8#55642C212yesmaximal, complemented
9#54358C212yesmaximal, complemented
10#53955C212yesmaximal, complemented
11#53577C212yesmaximal, complemented
12#53565C212yesmaximal, complemented
13#53208C211yesmaximal, characteristic, complemented
14#52458C212yesmaximal, complemented
15#52015C212yesmaximal, complemented
16#51878C212yesmaximal, complemented
17#51793C212yesmaximal, complemented
18#51719C212yesmaximal, complemented
19#49478C212yesmaximal, complemented
20#47224C212yesmaximal, complemented
21#46383C212yesmaximal, complemented
22#46132C211yesmaximal, characteristic, complemented
23#45099C212yesmaximal, complemented
24#43570C212yesmaximal, complemented
25#43146C212yesmaximal, complemented
26#42939C212yesmaximal, complemented
27#42840C212yesmaximal, complemented
28#42147C212yesmaximal, complemented
29#41631C212yesmaximal
30#40956C212yesmaximal, complemented
31#39678C211yesmaximal, characteristic, complemented
32#39127C211yesmaximal, characteristic, complemented
33#37771C211yesmaximal, characteristic
34#37220C211yesmaximal, characteristic, complemented
35#36752C211yesmaximal, characteristic, complemented
36C2×#563C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#544C2212yes—
39C2×#539C2211yescharacteristic
40C2×#529C2211yescharacteristic
41#2857C2211yescharacteristic
42#2854C2211yescharacteristic
43#2851C2211yescharacteristic
44#2851C2211yescharacteristic
45#2839C2212yes—
46#2839C2212yes—
47#2839C2212yes—
48#2839C2212yes—
49#2839C2212yes—
50#2836C2212yes—
51#2836C2212yes—
52#2836C2212yes—
53#2836C2212yes—
54#2836C2212yes—
55#2836C2212yes—
56#2836C2212yes—
57#2831C2212yes—
58#2831C2212yes—
59#2830C2212yes—
60#2827C2212yes—
61#2822C2211yescharacteristic
62#2822C2211yescharacteristic
63#2816C2212yes—
64#2814C2212yes—
65#2809C2211yescharacteristic
66#2806C2212yes—
67#2805C2212yes—
68#2802C2212yes—
69#2802C2212yes—
70#2802C2212yes—
71#2802C2212yes—
72#2802C2212yes—
73#2802C2212yes—
74#2800C2212yes—
75#2799C2212yes—
76#2799C2212yes—
77#2799C2212yes—
78#2798C2212yes—
79#2798C2212yes—
80#2798C2212yes—
81#2792C2212yes—
82#2791C2212yes—
83#2791C2212yes—
84#2791C2212yes—
85#2791C2212yes—
86#2791C2212yes—
87#2791C2212yes—
88#2791C2212yes—
89#2791C2212yes—
90#2790C2212yes—
91#2790C2212yes—
92#2790C2212yes—
93#2788C2212yes—
94#2788C2212yes—
95#2786C2212yes—
96#2786C2212yes—
97#2786C2212yes—
98#2780C2212yes—
99#2780C2212yes—
100#2779C2212yes—
101#2779C2212yes—
102#2772C2212yes—
103#2761C2212yes—
104#2755C2212yes—
105#2755C2212yes—
106#2754C2212yes—
107#2750C2212yes—
108#2748C2212yes—
109#2747C2212yes—
110#2747C2212yes—
111#2741C2212yes—
112#2740C2212yes—
113#2740C2212yes—
114#2739C2212yes—
115#2734C2212yes—
116#2734C2212yes—
117#2732C2212yes—
118#2732C2212yes—
119#2732C2212yes—
120#2732C2212yes—
121#2732C2211yescharacteristic
122#2730C2212yes—
123#2729C2212yes—
124#2729C2212yes—
125#2729C2212yes—
126#2729C2212yes—
127#2728C2212yes—
128#2727C2211yescharacteristic
129#2727C2211yescharacteristic
130#2726C2212yes—
131#2726C2212yes—
132#2726C2212yes—
133#2726C2212yes—
134#2726C2211yescharacteristic
135#2726C2211yescharacteristic
136#2726C2212yes—
137#2726C2212yes—
138#2726C2212yes—
139#2726C2211yescharacteristic
140#2726C2212yes—
141#2725C2212yes—
142#2725C2212yes—
143#2725C2212yes—
144#2725C2212yes—
145#2725C2212yes—
146#2725C2212yes—
147#2725C2212yes—
148#2724C2211yescharacteristic
149#2722C2212yes—
150#2722C2212yes—
151#2722C2212yes—
152#2721C2212yes—
153#2721C2212yes—
154#2721C2212yes—
155#2721C2212yes—
156#2721C2212yes—
157#2721C2212yes—
158#2721C2212yes—
159#2718C2212yes—
160#2716C2212yes—
161#2715C2212yes—
162#2715C2212yes—
163#2713C2212yes—
164#2713C2212yes—
165#2712C2212yes—
166#2708C2212yes—
167#2708C2212yes—
168#2707C2212yes—
169#2707C2212yes—
170#2707C2212yes—
171#2707C2212yes—
172#2707C2212yes—
173#2705C2212yes—
174#2705C2212yes—
175#2704C2212yes—
176#2704C2212yes—
177#2704C2212yes—
178#2704C2212yes—
179#2704C2212yes—
180#2702C2212yes—
181#2695C2212yes—
182#2695C2212yes—
183#2695C2212yes—
184#2695C2212yes—
185#2695C2212yes—
186#2695C2212yes—
187#2694C2212yes—
188#2694C2212yes—
189#2694C2212yes—
190#2691C2212yes—
191#2690C2212yes—
192#2689C2212yes—
193#2689C2212yes—
194#2689C2212yes—
195#2687C2212yes—
196#2687C2212yes—
197#2683C2212yes—
198#2681C2212yes—
199#2680C2212yes—
200#2674C2212yes—
201#2667C2212yes—
202#2667C2212yes—
203#2665C2212yes—
204#2664C2212yes—
205#2664C2212yes—
206#2664C2212yes—
207#2664C2212yes—
208#2664C2212yes—
209#2664C2212yes—
210#2664C2212yes—
211#2659C2211yescharacteristic
212#2659C2211yescharacteristic
213#2656C2211yescharacteristic
214#2654C2212yes—
215#2654C2212yes—
216#2654C2212yes—
217#2654C2212yes—
218#2652C2212yes—
219#2652C2212yes—
220#2648C2212yes—
221#2646C2211yescharacteristic
222#2646C2212yes—
223#2646C2211yescharacteristic
224#2630C2212yes—
225#2629C2212yes—
226#2629C2212yes—
227#2625C2212yes—
228#2620C2212yes—
229#2618C2211yescharacteristic
230#2608C2212yes—
231#2601C2212yes—
232#2601C2212yes—
233#2601C2212yes—
234#2590C2212yes—
235#2590C2212yes—
236#2590C2212yes—
237#2589C2212yes—
238#2589C2212yes—
239#2589C2212yes—
240#2589C2212yes—
241#2588C2212yes—
242#2588C2212yes—
243#2588C2212yes—
244#2588C2212yes—
245#2587C2212yes—
246#2587C2212yes—
247#2585C2212yes—
248#2585C2212yes—
249#2585C2212yes—
250#2585C2212yes—
251#2584C2212yes—
252#2582C2212yes—
253#2582C2212yes—
254#2579C2212yes—
255#2569C2212yes—
256#2565C2212yes—
257#2564C2212yes—
258#2562C2212yes—
259#2560C2212yes—
260#2559C2212yes—
261#2558C2212yes—
262#2558C2212yes—
263#2557C2212yes—
264#2556C2212yes—
265#2556C2212yes—
266#2556C2212yes—
267#2554C2212yes—
268#2552C2212yes—
269#2552C2212yes—
270#2550C2212yes—
271#2547C2211yescharacteristic
272#2545C2212yes—
273#2538C2211yescharacteristic
274#2538C2212yes—
275#2538C2212yes—
276#2522C2212yes—
277#2522C2212yes—
278#2522C2212yes—
279#2522C2212yes—
280#2522C2212yes—
281#2522C2212yes—
282#2520C2212yes—
283#2519C2212yes—
284#2512C2212yes—
285#2511C2212yes—
286#2511C2212yes—
287#2507C2212yes—
288#2506C2212yes—
289#2506C2212yes—
290#2506C2212yes—
291#2506C2212yes—
292#2506C2212yes—
293#2506C2212yes—
294#2505C2212yes—
295#2502C2212yes—
296#2501C2212yes—
297#2498C2212yes—
298#2496C2212yes—
299#2490C2212yes—
300#2481C2212yes—
301#2479C2212yes—
302#2479C2212yes—
303#2478C2212yes—
304#2478C2212yes—
305#2478C2212yes—
306#2476C2212yes—
307#2475C2212yes—
308#2474C2212yes—
309#2473C2212yes—
310#2471C2212yes—
311#2471C2212yes—
312#2470C2212yes—
313#2470C2212yes—
314#2470C2212yes—
315#2469C2212yes—
316#2468C2212yes—
317#2467C2212yes—
318#2462C2212yes—
319#2461C2212yes—
320#2460C2212yes—
321#2453C2212yes—
322#2453C2212yes—
323#2453C2212yes—
324#2452C2212yes—
325#2451C2212yes—
326#2450C2212yes—
327#2449C2212yes—
328#2448C2212yes—
329#2447C2212yes—
330#2446C2212yes—
331#2446C2212yes—
332#2442C2212yes—
333#2441C2212yes—
334#2441C2212yes—
335#2441C2212yes—
336#2440C2212yes—
337#2438C2212yes—
338#2438C2212yes—
339#2438C2212yes—
340#2429C2212yes—
341#2429C2212yes—
342#2429C2212yes—
343#2426C2212yes—
344#2425C2212yes—
345#2425C2212yes—
346#2423C2212yes—
347#2423C2212yes—
348#2423C2212yes—
349#2419C2212yes—
350#2415C2212yes—
351#2413C2212yes—
352#2396C2212yes—
353#2396C2212yes—
354#2396C2212yes—
355#2379C2211yescharacteristic
356#2378C2212yes—
357#2369C2212yes—
358#2368C2212yes—
359#2368C2212yes—
360#2365C2212yes—
361#2364C2212yes—
362#2363C2212yes—
363#2362C2212yes—
364#2362C2212yes—
365#2360C2212yes—
366Q8×C4⋊C4C2211yescharacteristic
367#2333C2212yes—
368#2332C2212yes—
369#2329C2211yescharacteristic
370#2329C2211yescharacteristic
371#2329C2211yescharacteristic
372#2323C2212yes—
373#2323C2212yes—
374#2323C2212yes—
375#2316C2211yescharacteristic
376#2313C2211yescharacteristic
377C4×C22⋊Q8C2211yescharacteristic
378C2×#387C2211yescharacteristic
379#563—44no—
380#557—44no—
381#544—48no—
382#539—44no—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2311yescharacteristic
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388#529—44no—
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×#125C2311yescharacteristic
402C2×#125C2311yescharacteristic
403C2×#125C2311yescharacteristic
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#124C2311yescharacteristic
417C2×#124C2312yes—
418C2×#124C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2311yescharacteristic
432C2×C22⋊Q8C2311yescharacteristic
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×#121C2312yes—
443C2×#121C2311yescharacteristic
444C2×#121C2311yescharacteristic
445C2×#121C2312yes—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2312yes—
457C2×#117C2312yes—
458C2×#117C2312yes—
459C2×#117C2312yes—
460C2×#117C2312yes—
461C2×#117C2312yes—
462C2×#117C2312yes—
463C22×C4⋊C4C2311yescharacteristic
464C22×C4⋊C4C2312yes—
465C22×C4⋊C4C2311yescharacteristic
466C22×C42C2311yescharacteristic
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
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#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
597#398C2312yes—
598#398C2312yes—
599#398C2312yes—
600#398C2312yes—
601#398C2312yes—
602#398C2312yes—
603#398C2312yes—
604#398C2312yes—
605#398C2312yes—
606#398C2312yes—
607#398C2312yes—
608#398C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2312yes—
623#397C2312yes—
624#397C2312yes—
625#397C2312yes—
626#397C2312yes—
627#397C2312yes—
628#397C2312yes—
629#397C2312yes—
630#397C2312yes—
631#397C2312yes—
632#397C2312yes—
633#397C2312yes—
634#397C2312yes—
635#397C2312yes—
636#397C2312yes—
637#397C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#396C2312yes—
651#396C2312yes—
652#396C2312yes—
653#396C2312yes—
654#396C2312yes—
655#396C2312yes—
656#396C2312yes—
657#396C2312yes—
658#396C2312yes—
659#396C2312yes—
660#396C2312yes—
661#396C2312yes—
662#396C2312yes—
663#396C2312yes—
664#396C2312yes—
665#396C2312yes—
666#396C2312yes—
667#396C2312yes—
668#396C2312yes—
669#396C2312yes—
670#396C2312yes—
671#396C2312yes—
672#396C2312yes—
673#396C2312yes—
674#396C2312yes—
675#396C2312yes—
676#396C2312yes—
677#396C2312yes—
678#395C2312yes—
679#395C2312yes—
680#395C2312yes—
681#395C2312yes—
682#395C2312yes—
683#395C2312yes—
684#395C2312yes—
685#395C2312yes—
686#395C2312yes—
687#395C2312yes—
688#395C2312yes—
689#395C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#394C2312yes—
697#394C2312yes—
698#394C2312yes—
699#394C2312yes—
700#394C2312yes—
701#394C2312yes—
702#394C2312yes—
703#394C2312yes—
704#394C2312yes—
705#394C2312yes—
706#394C2312yes—
707#393C2312yes—
708#393C2312yes—
709#393C2312yes—
710#393C2312yes—
711#393C2312yes—
712#393C2312yes—
713#392C2312yes—
714#392C2312yes—
715#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#391C2312yes—
719#391C2312yes—
720#391C2311yescharacteristic
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#390C2312yes—
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2311yescharacteristic
746#390C2311yescharacteristic
747#390C2312yes—
748#390C2312yes—
749#390C2312yes—
750#390C2312yes—
751#390C2312yes—
752#390C2312yes—
753#390C2312yes—
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#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2311yescharacteristic
805#389C2311yescharacteristic
806#389C2311yescharacteristic
807#389C2311yescharacteristic
808#389C2311yescharacteristic
809#389C2311yescharacteristic
810#389C2312yes—
811#389C2311yescharacteristic
812#389C2311yescharacteristic
813#389C2312yes—
814#389C2312yes—
815#389C2312yes—
816#389C2312yes—
817#389C2312yes—
818#389C2311yescharacteristic
819#389C2312yes—
820#389C2312yes—
821#389C2312yes—
822#389C2312yes—
823#389C2312yes—
824#389C2312yes—
825#389C2312yes—
826#389C2312yes—
827#389C2312yes—
828#389C2312yes—
829#389C2312yes—
830#389C2312yes—
831#389C2312yes—
832#389C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
883#388C2312yes—
884#388C2312yes—
885#388C2312yes—
886#388C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
961#387C2312yes—
962#387C2312yes—
963#387C2312yes—
964#387C2312yes—
965#387C2312yes—
966#387C2312yes—
967#387C2312yes—
968#387C2312yes—
969#387C2312yes—
970#387C2312yes—
971#387C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#384C2312yes—
1023#384C2312yes—
1024#384C2312yes—
1025#384C2311yescharacteristic
1026#384C2312yes—
1027#384C2312yes—
1028#384C2312yes—
1029#384C2312yes—
1030#384C2312yes—
1031#382C2312yes—
1032#382C2311yescharacteristic
1033#382C2311yescharacteristic
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#380C2311yescharacteristic
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2311yescharacteristic
1045#380C2311yescharacteristic
1046#380C2312yes—
1047#380C2312yes—
1048#380C2311yescharacteristic
1049#380C2311yescharacteristic
1050#380C2312yes—
1051#380C2312yes—
1052#380C2311yescharacteristic
1053#380C2311yescharacteristic
1054#380C2311yescharacteristic
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2311yescharacteristic
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2311yescharacteristic
1100C2×#95C2311yescharacteristic
1101C2×#95C2311yescharacteristic
1102C2×#95C2311yescharacteristic
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2412yes—
1106C22×Q8C2412yes—
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2411yescharacteristic
1109C22×D4C2412yes—
1110C22×D4C2412yes—
1111C22×D4C2411yescharacteristic
1112C22×D4C2412yes—
1113C22×D4C2411yescharacteristic
1114C22×D4C2412yes—
1115C23×C4C2411yescharacteristic
1116C23×C4C2412yes—
1117C23×C4C2412yes—
1118C23×C4C2411yescharacteristic
1119C23×C4C2411yescharacteristic
1120C23×C4C2412yes—
1121C23×C4C2411yescharacteristic
1122C23×C4C2411yescharacteristic
1123C23×C4C2412yes—
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2411yescharacteristic
1127C23×C4C2411yescharacteristic
1128C4⋊Q8—28no—
1129C4⋊Q8—28no—
1130C4⋊Q8—42no—
1131C4⋊Q8—44no—
1132C4⋊Q8—44no—
1133#126—44no—
1134#126—44no—
1135#126—44no—
1136#126—44no—
1137#126—82no—
1138#126—82no—
1139#126—82no—
1140#126—82no—
1141#126—82no—
1142#126—82no—
1143#125—42no—
1144#125—44no—
1145#125—44no—
1146#125—44no—
1147#125—42no—
1148#125—42no—
1149#125—44no—
1150#125—44no—
1151#125—44no—
1152#125—44no—
1153#125—44no—
1154#125—82no—
1155#125—82no—
1156#125—82no—
1157#125—82no—
1158#125—82no—
1159#125—82no—
1160#124—24no—
1161#124—82no—
1162#124—82no—
1163#123—44no—
1164#123—44no—
1165#123—44no—
1166#123—44no—
1167#123—82no—
1168#123—82no—
1169#123—82no—
1170#123—82no—
1171C22⋊Q8—24no—
1172C22⋊Q8—28no—
1173C22⋊Q8—28no—
1174C22⋊Q8—28no—
1175C22⋊Q8—24no—
1176C22⋊Q8—28no—
1177C22⋊Q8—44no—
1178C22⋊Q8—44no—
1179C22⋊Q8—44no—
1180C22⋊Q8—44no—
1181C22⋊Q8—44no—
1182C22⋊Q8—82no—
1183C22⋊Q8—82no—
1184C22⋊Q8—82no—
1185C22⋊Q8—82no—
1186#121—28no—
1187#121—42no—
1188#121—42no—
1189#121—82no—
1190C4×Q8—24no—
1191C4×Q8—42no—
1192C4×Q8—44no—
1193C4×Q8—44no—
1194C4×Q8—82no—
1195C4×Q8—82no—
1196C4×Q8—82no—
1197C4×D4—44no—
1198C4×D4—42no—
1199C4×D4—44no—
1200C4×D4—82no—
1201#117—44no—
1202#117—44no—
1203#117—44no—
1204#117—82no—
1205#117—82no—
1206#117—82no—
1207C2×C4⋊C4—24no—
1208C2×C4⋊C4—42no—
1209C2×C4⋊C4—44no—
1210C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1220C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2411yescharacteristic
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2411yescharacteristic
1267C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2411yescharacteristic
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2411yescharacteristic
1295C2×C4⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1313C2×C4⋊C4C2411yescharacteristic
1314C2×C4⋊C4C2411yescharacteristic
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2411yescharacteristic
1321C2×C4⋊C4C2411yescharacteristic
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2411yescharacteristic
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊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×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C42—42no—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2411yescharacteristic
1395C2×C42C2411yescharacteristic
1396C2×C42C2411yescharacteristic
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×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2411yescharacteristic
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529C24C2512yes—
1530C24C2512yes—
1531C24C2511yescharacteristic
1532C2×Q8—24no—
1533C2×Q8—24no—
1534C2×Q8—24no—
1535C2×Q8—41no—
1536C2×Q8—41no—
1537C2×Q8—41no—
1538C2×Q8—41no—
1539C2×Q8—42no—
1540C2×Q8—42no—
1541C2×Q8—42no—
1542C2×Q8—42no—
1543C2×Q8—42no—
1544C2×Q8—42no—
1545C2×Q8—42no—
1546C2×Q8—42no—
1547C2×Q8—42no—
1548C2×Q8H(5,𝔽2)14yes—
1549C2×Q82−1+414yes—
1550C2×D4—24no—
1551C2×D4—24no—
1552C2×D4—22no—
1553C2×D4—24no—
1554C2×D4—42no—
1555C2×D4—42no—
1556C2×D4—42no—
1557C2×D4—42no—
1558C2×D4—42no—
1559C2×D4—41no—
1560C2×D4—42no—
1561C2×D4—41no—
1562C2×D4—41no—
1563C2×D4—42no—
1564C2×D4—41no—
1565C2×D4—42no—
1566C2×D4—41no—
1567C2×D4—42no—
1568C22×C4—22no—
1569C22×C4—22no—
1570C22×C4—24no—
1571C22×C4—22no—
1572C22×C4—24no—
1573C22×C4—22no—
1574C22×C4—24no—
1575C22×C4—42no—
1576C22×C4—41no—
1577C22×C4—42no—
1578C22×C4—41no—
1579C22×C4—41no—
1580C22×C4—41no—
1581C22×C4—41no—
1582C22×C4—42no—
1583C22×C4—42no—
1584C22×C4—42no—
1585C22×C4—41no—
1586C22×C4—41no—
1587C22×C4—41no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—41no—
1591C22×C4—41no—
1592C22×C4—42no—
1593C22×C4—42no—
1594C22×C4—41no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—41no—
1599C22×C4—42no—
1600C22×C4—41no—
1601C22×C4—41no—
1602C22×C4—41no—
1603C22×C4—42no—
1604C22×C4—42no—
1605C22×C4—41no—
1606C22×C42−1+414yes—
1607C22×C4C2512yes—
1608C22×C4C2512yes—
1609C22×C4C2512yes—
1610C22×C4C2511yescharacteristic
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2512yes—
1620C22×C4C2512yes—
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2511yescharacteristic
1628C22×C4C2511yescharacteristic
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2511yescharacteristic
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2511yescharacteristic
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2511yescharacteristic
1638C22×C4C2512yes—
1639C4⋊C4—24no—
1640C4⋊C4—24no—
1641C4⋊C4—24no—
1642C4⋊C4—24no—
1643C4⋊C4—24no—
1644C4⋊C4—24no—
1645C4⋊C4—24no—
1646C4⋊C4—22no—
1647C4⋊C4—22no—
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—22no—
1661C4⋊C4—24no—
1662C4⋊C4—24no—
1663C4⋊C4—24no—
1664C4⋊C4—24no—
1665C4⋊C4—24no—
1666C4⋊C4—24no—
1667C4⋊C4—24no—
1668C4⋊C4—42no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—42no—
1674C4⋊C4—41no—
1675C4⋊C4—42no—
1676C4⋊C4—42no—
1677C4⋊C4—41no—
1678C4⋊C4—42no—
1679C4⋊C4—41no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—42no—
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—41no—
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—41no—
1712C4⋊C4—42no—
1713C4⋊C4—41no—
1714C4⋊C4—41no—
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—41no—
1737C4⋊C4—41no—
1738C4⋊C4—41no—
1739C4⋊C4—41no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—41no—
1744C4⋊C4—41no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—41no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—41no—
1760C4⋊C4—41no—
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—42no—
1776C22⋊C4—42no—
1777C22⋊C4—42no—
1778C22⋊C4—42no—
1779C22⋊C4—42no—
1780C22⋊C4—42no—
1781C22⋊C4—42no—
1782C22⋊C4—42no—
1783C22⋊C4—42no—
1784C22⋊C4—42no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
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—
1819C42—22no—
1820C42—22no—
1821C42—24no—
1822C42—24no—
1823C42—24no—
1824C42—41no—
1825C42—41no—
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—
1841C42—42no—
1842C42—42no—
1843C42—42no—
1844C42—42no—
1845C42—42no—
1846C42—42no—
1847C42—42no—
1848C42—42no—
1849C23—21no—
1850C23—21no—
1851C23—21no—
1852C23—21no—
1853C23—21no—
1854C23—21no—
1855C23—22no—
1856C23—22no—
1857C23—22no—
1858C23—22no—
1859C23—22no—
1860C23—22no—
1861C23—22no—
1862C23—22no—
1863C23—22no—
1864C23—22no—
1865C23—22no—
1866C23—22no—
1867C23—22no—
1868C23—22no—
1869C23C2×2−1+412yes—
1870C23C2611yescharacteristic
1871Q8—44no—
1872Q8—44no—
1873Q8—84no—
1874Q8—84no—
1875Q8—84no—
1876Q8—162no—
1877D4—84no—
1878D4—82no—
1879D4—84no—
1880D4—84no—
1881D4—162no—
1882D4—161no—
1883C2×C4—21no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—21no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—21no—
1892C2×C4—21no—
1893C2×C4—22no—
1894C2×C4—21no—
1895C2×C4—21no—
1896C2×C4—22no—
1897C2×C4—21no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—21no—
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—21no—
1922C2×C4—22no—
1923C2×C4—21no—
1924C2×C4—21no—
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—21no—
1951C2×C4—21no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—21no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
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—21no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—44no—
1975C2×C4—48no—
1976C2×C4—82no—
1977C2×C4—84no—
1978C2×C4—82no—
1979C2×C4—84no—
1980C2×C4—82no—
1981C2×C4—82no—
1982C2×C4—84no—
1983C2×C4—161no—
1984C2×C4—161no—
1985C2×C4—162no—
1986C2×C4—162no—
1987C2×C4C2×H(5,𝔽2)12yes—
1988C2×C4C2×H(5,𝔽2)14yes—
1989C2×C4C2×2−1+414yes—
1990C2×C4C2×2−1+414yes—
1991C2×C4C2×2−1+412yes—
1992C22—22no—
1993C22—22no—
1994C22—22no—
1995C22—41no—
1996C22—41no—
1997C22—41no—
1998C22—41no—
1999C22—42no—
2000C22—42no—
2001C22—42no—
2002C22—42no—
2003C22—42no—
2004C22—42no—
2005C22—42no—
2006C22—42no—
2007C22—42no—
2008C22—42no—
2009C22—42no—
2010C22—42no—
2011C22—42no—
2012C22—42no—
2013C22C22×H(5,𝔽2)11yescharacteristic
2014C22C22×2−1+411yescharacteristic
2015C22C22×2−1+411yescharacteristic
2016C22H(7,𝔽2)11yescharacteristic
2017C22H(7,𝔽2)11yescharacteristic
2018C222−1+611yescharacteristic
2019C222−1+611yescharacteristic
2020C4—24no—
2021C4—22no—
2022C4—24no—
2023C4—24no—
2024C4—22no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C4—42no—
2037C4—41no—
2038C4—42no—
2039C4—42no—
2040C4—42no—
2041C4—42no—
2042C4—42no—
2043C4—41no—
2044C4—42no—
2045C4—42no—
2046C4—42no—
2047C4—41no—
2048C4—41no—
2049C4—42no—
2050C4—42no—
2051C4—42no—
2052C2—42no—
2053C2—82no—
2054C2—82no—
2055C2#6286511yescharacteristic
2056C2#6286611yescharacteristic
2057C2#6289311yescharacteristic
2058C2#6291711yescharacteristic
2059C2#6294711yescharacteristic
2060C2#6297811yescharacteristic
2061C2#6307011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2656C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58665C2semidirect
2. #58665C2semidirect
3. #58397C2semidirect
4. #57684C2semidirect
5. #57240C2semidirect
6. #55864C2semidirect
7. #55839C2semidirect
8. #55642C2semidirect
9. #54358C2semidirect
10. #53955C2semidirect
11. #53577C2semidirect
12. #53565C2semidirect
13. #53208C2semidirect
14. #52458C2semidirect
15. #52015C2semidirect
16. #51878C2semidirect
17. #51793C2semidirect
18. #51719C2semidirect
19. #49478C2semidirect
20. #47224C2semidirect
21. #46383C2semidirect
22. #46132C2semidirect
23. #45099C2semidirect
24. #43570C2semidirect
25. #43146C2semidirect
26. #42939C2semidirect
27. #42840C2semidirect
28. #42147C2semidirect
30. #40956C2semidirect
31. #39678C2semidirect
32. #39127C2semidirect
34. #37220C2semidirect
35. #36752C2semidirect

Maximal subgroups

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

subgroupindex
#586652
#583972
#576842
#572402
#558642
#558392
#556422
#543582
#539552
#535772
#535652
#532082
#524582
#520152
#518782
#517932
#517192
#494782
#472242
#463832
#461322
#450992
#435702
#431462
#429392
#428402
#421472
#416312
#409562
#396782
#391272
#377712
#372202
#367522