Finite Group Databasebeta

← #8127274

Subgroups — #8127274

Order 512.

4158 conjugacy classes of subgroups.

The subgroup lattice has 2003 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59866C211yesmaximal, characteristic, complemented
2#59830C211yesmaximal, characteristic
3#59329C211yesmaximal, characteristic, complemented
4#59312C211yesmaximal, characteristic
5#55542C212yesmaximal, complemented
6#55540C212yesmaximal, complemented
7#55290C212yesmaximal, complemented
8#55288C212yesmaximal, complemented
9#53854C212yesmaximal, complemented
10#53821C212yesmaximal, complemented
11#53734C212yesmaximal, complemented
12#53577C212yesmaximal, complemented
13#50806C212yesmaximal, complemented
14#50775C212yesmaximal, complemented
15#50708C212yesmaximal, complemented
16#50325C212yesmaximal, complemented
17#48734C212yesmaximal, complemented
18#48512C212yesmaximal, complemented
19#48232C212yesmaximal, complemented
20#47979C212yesmaximal, complemented
21#45752C212yesmaximal, complemented
22#45752C212yesmaximal, complemented
23#41431C212yesmaximal, complemented
24#41411C212yesmaximal, complemented
25#41395C212yesmaximal
26#41393C212yesmaximal, complemented
27#39266C212yesmaximal
28#39122C212yesmaximal, complemented
29#38103C212yesmaximal, complemented
30#38045C212yesmaximal, complemented
31#36824C212yesmaximal, complemented
32#35059C212yesmaximal, complemented
33#35021C211yesmaximal, characteristic
34#35013C211yesmaximal, characteristic, complemented
35C2×#2506C211yesmaximal, characteristic, complemented
36C2×#554C2212yes—
37C2×#552C2212yes—
38C22×#125C2212yes—
39#2855C2212yes—
40#2855C2212yes—
41#2853C2212yes—
42#2853C2212yes—
43#2852C2212yes—
44#2851C2212yes—
45#2839C2212yes—
46#2839C2212yes—
47#2839C2212yes—
48#2839C2212yes—
49#2839C2212yes—
50#2838C2212yes—
51#2836C2212yes—
52#2836C2212yes—
53#2836C2212yes—
54#2836C2212yes—
55#2822C2212yes—
56#2817C2212yes—
57#2809C2211yescharacteristic
58#2807C2212yes—
59#2806C2212yes—
60#2806C2212yes—
61#2806C2212yes—
62#2806C2211yescharacteristic
63#2805C2212yes—
64#2805C2212yes—
65#2805C2211yescharacteristic
66#2802C2212yes—
67#2802C2212yes—
68#2802C2212yes—
69#2802C2212yes—
70#2802C2212yes—
71#2802C2212yes—
72#2802C2212yes—
73#2802C2212yes—
74#2802C2212yes—
75#2799C2212yes—
76#2799C2212yes—
77#2798C2212yes—
78#2798C2212yes—
79#2798C2212yes—
80#2796C2212yes—
81#2794C2212yes—
82#2794C2212yes—
83#2794C2212yes—
84#2794C2212yes—
85#2792C2212yes—
86#2792C2212yes—
87#2791C2212yes—
88#2791C2212yes—
89#2791C2212yes—
90#2791C2212yes—
91#2791C2212yes—
92#2791C2212yes—
93#2788C2212yes—
94#2788C2212yes—
95#2786C2212yes—
96#2786C2212yes—
97#2783C2212yes—
98#2783C2212yes—
99#2783C2212yes—
100#2777C2212yes—
101#2776C2212yes—
102#2774C2212yes—
103#2774C2212yes—
104#2773C2212yes—
105#2773C2212yes—
106#2772C2212yes—
107#2772C2212yes—
108#2769C2212yes—
109#2767C2212yes—
110#2767C2212yes—
111#2767C2212yes—
112#2767C2212yes—
113#2766C2212yes—
114#2765C2212yes—
115#2762C2212yes—
116#2762C2212yes—
117#2758C2212yes—
118#2755C2212yes—
119#2755C2212yes—
120#2755C2212yes—
121#2755C2212yes—
122#2755C2212yes—
123#2755C2212yes—
124#2755C2212yes—
125#2754C2212yes—
126#2754C2212yes—
127#2751C2212yes—
128#2747C2212yes—
129#2745C2212yes—
130#2742C2212yes—
131#2740C2212yes—
132#2740C2212yes—
133#2739C2212yes—
134#2739C2212yes—
135#2738C2212yes—
136#2734C2211yescharacteristic
137#2732C2211yescharacteristic
138#2726C2212yes—
139#2726C2212yes—
140#2726C2212yes—
141#2726C2211yescharacteristic
142#2726C2211yescharacteristic
143#2725C2212yes—
144#2725C2212yes—
145#2721C2212yes—
146#2721C2212yes—
147#2721C2212yes—
148#2720C2212yes—
149#2720C2212yes—
150#2720C2212yes—
151#2719C2212yes—
152#2719C2212yes—
153#2719C2212yes—
154#2719C2212yes—
155#2719C2212yes—
156#2719C2212yes—
157#2719C2212yes—
158#2719C2212yes—
159#2713C2212yes—
160#2713C2212yes—
161#2704C2212yes—
162#2704C2212yes—
163#2698C2212yes—
164#2698C2212yes—
165#2690C2212yes—
166#2690C2212yes—
167#2690C2212yes—
168#2690C2212yes—
169#2689C2212yes—
170#2689C2212yes—
171#2689C2212yes—
172#2683C2211yescharacteristic
173#2667C2212yes—
174#2667C2212yes—
175#2666C2212yes—
176#2666C2212yes—
177#2666C2212yes—
178#2666C2212yes—
179#2664C2212yes—
180#2659C2211yescharacteristic
181#2659C2211yescharacteristic
182#2655C2212yes—
183#2655C2212yes—
184#2655C2212yes—
185#2655C2212yes—
186#2654C2212yes—
187#2654C2212yes—
188#2654C2212yes—
189#2654C2212yes—
190#2650C2212yes—
191#2646C2211yescharacteristic
192#2639C2211yescharacteristic
193#2634C2212yes—
194#2634C2212yes—
195#2627C2212yes—
196#2627C2211yescharacteristic
197#2627C2211yescharacteristic
198#2627C2211yescharacteristic
199#2627C2212yes—
200#2625C2212yes—
201#2623C2212yes—
202#2618C2211yescharacteristic
203#2607C2212yes—
204#2596C2212yes—
205#2595C2212yes—
206#2594C2212yes—
207#2593C2212yes—
208#2590C2212yes—
209#2590C2212yes—
210#2590C2212yes—
211#2589C2212yes—
212#2588C2212yes—
213#2588C2212yes—
214#2586C2212yes—
215#2586C2212yes—
216#2586C2212yes—
217#2585C2212yes—
218#2585C2212yes—
219#2585C2212yes—
220#2585C2212yes—
221#2585C2212yes—
222#2585C2212yes—
223#2585C2212yes—
224#2585C2212yes—
225#2583C2212yes—
226#2582C2211yescharacteristic
227#2581C2212yes—
228#2579C2212yes—
229#2575C2212yes—
230#2574C2212yes—
231#2573C2212yes—
232#2573C2212yes—
233#2571C2211yescharacteristic
234#2570C2212yes—
235#2570C2212yes—
236#2570C2212yes—
237#2569C2212yes—
238#2556C2212yes—
239#2556C2212yes—
240#2556C2212yes—
241#2552C2212yes—
242#2552C2211yescharacteristic
243#2550C2212yes—
244#2550C2212yes—
245#2549C2212yes—
246#2538C2211yescharacteristic
247#2525C2212yes—
248#2525C2212yes—
249#2524C2212yes—
250#2522C2212yes—
251#2522C2212yes—
252#2520C2212yes—
253#2520C2212yes—
254#2520C2212yes—
255#2520C2212yes—
256#2520C2212yes—
257#2520C2212yes—
258#2520C2212yes—
259#2519C2212yes—
260#2519C2212yes—
261#2517C2212yes—
262#2516C2212yes—
263#2512C2212yes—
264#2511C2212yes—
265#2511C2212yes—
266#2511C2212yes—
267#2511C2212yes—
268#2507C2212yes—
269#2506C2212yes—
270#2506C2212yes—
271#2506C2212yes—
272#2506C2212yes—
273#2506C2212yes—
274#2506C2212yes—
275#2506C2212yes—
276#2506C2212yes—
277#2506C2212yes—
278#2506C2212yes—
279#2503C2212yes—
280#2503C2212yes—
281#2503C2212yes—
282#2503C2212yes—
283#2501C2212yes—
284#2498C2212yes—
285#2498C2212yes—
286#2493C2212yes—
287#2493C2212yes—
288#2489C2212yes—
289#2489C2212yes—
290#2488C2212yes—
291#2488C2212yes—
292#2486C2212yes—
293#2486C2212yes—
294#2486C2212yes—
295#2484C2212yes—
296#2484C2212yes—
297#2484C2212yes—
298#2484C2212yes—
299#2484C2212yes—
300#2475C2212yes—
301#2475C2212yes—
302#2473C2212yes—
303#2473C2212yes—
304#2469C2212yes—
305#2468C2212yes—
306#2462C2212yes—
307#2462C2212yes—
308#2462C2212yes—
309#2462C2212yes—
310#2462C2212yes—
311#2462C2212yes—
312#2453C2212yes—
313#2453C2212yes—
314#2453C2212yes—
315#2449C2212yes—
316#2449C2212yes—
317#2449C2212yes—
318#2442C2212yes—
319#2442C2212yes—
320#2441C2212yes—
321#2438C2212yes—
322#2438C2212yes—
323#2438C2212yes—
324#2438C2212yes—
325#2438C2212yes—
326#2438C2212yes—
327#2429C2212yes—
328#2423C2212yes—
329#2419C2212yes—
330#2419C2212yes—
331#2419C2212yes—
332#2419C2212yes—
333#2413C2212yes—
334#2413C2212yes—
335#2413C2212yes—
336#2413C2212yes—
337C2×#400C2212yes—
338C2×#398C2212yes—
339#2382C2212yes—
340#2382C2212yes—
341#2378C2212yes—
342#2378C2212yes—
343#2370C2212yes—
344#2368C2212yes—
345#2364C2212yes—
346#2360C2212yes—
347#2355C2211yescharacteristic
348#2355C2211yescharacteristic
349#2354C2211yescharacteristic
350Q8×C4⋊C4C2211yescharacteristic
351#2345C2212yes—
352#2344C2212yes—
353#2344C2212yes—
354#2344C2212yes—
355#2336C2212yes—
356#2336C2212yes—
357#2334C2212yes—
358#2332C2212yes—
359#2329C2212yes—
360#2322C2212yes—
361#2322C2212yes—
362#2318C2212yes—
363#2317C2212yes—
364#2313C2212yes—
365C4×C22⋊Q8C2211yescharacteristic
366C4×C22⋊Q8C2211yescharacteristic
367C4×C22⋊Q8C2211yescharacteristic
368C4×#123C2212yes—
369C4×#121C2211yescharacteristic
370#2296C2212yes—
371C2×#389C2211yescharacteristic
372C2×#389C2211yescharacteristic
373C2×#389C2211yescharacteristic
374C2×#389C2211yescharacteristic
375C2×#387C2212yes—
376C2×#384C2211yescharacteristic
377C2×C4×C4⋊C4C2211yescharacteristic
378C2×C4×C4⋊C4C2211yescharacteristic
379#554—48no—
380#552—48no—
381C2×C4⋊Q8C2312yes—
382C2×#126C2312yes—
383C2×#126C2312yes—
384C2×#126C2312yes—
385C2×#125—48no—
386C2×#125C2312yes—
387C2×#125C2312yes—
388C2×#125C2312yes—
389C2×#125C2312yes—
390C2×#125C2312yes—
391C2×#125C2312yes—
392C2×#125C2312yes—
393C2×#125C2312yes—
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×#121C2311yescharacteristic
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2311yescharacteristic
423C2×C4×Q8C2311yescharacteristic
424C2×C4×Q8C2311yescharacteristic
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C22×C4⋊C4C2311yescharacteristic
435C22×C4⋊C4C2311yescharacteristic
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2312yes—
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2311yescharacteristic
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2312yes—
443C22×C4⋊C4C2312yes—
444C22×C4⋊C4C2311yescharacteristic
445C22×C4⋊C4C2311yescharacteristic
446C22×C4⋊C4C2311yescharacteristic
447C22×C42C2311yescharacteristic
448C22×C42C2311yescharacteristic
449C22×C42C2312yes—
450C22×C42C2311yescharacteristic
451#401C2312yes—
452#401C2312yes—
453#400C2312yes—
454#400C2312yes—
455#400C2312yes—
456#400C2312yes—
457#400C2312yes—
458#400C2312yes—
459#400C2312yes—
460#400C2312yes—
461#400C2312yes—
462#400C2312yes—
463#400C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
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#398C2312yes—
610#398C2312yes—
611#398C2312yes—
612#398C2312yes—
613#398C2312yes—
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#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2312yes—
664#395C2312yes—
665#395C2312yes—
666#395C2312yes—
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
670#394C2312yes—
671#394C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#391C2311yescharacteristic
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2311yescharacteristic
684#391C2311yescharacteristic
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#390C2311yescharacteristic
705#390C2312yes—
706#390C2312yes—
707#389C2311yescharacteristic
708#389C2311yescharacteristic
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#389C2311yescharacteristic
737#389C2311yescharacteristic
738#389C2311yescharacteristic
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#389C2311yescharacteristic
758#389C2312yes—
759#389C2312yes—
760#389C2311yescharacteristic
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#389C2311yescharacteristic
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#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#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#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#384C2312yes—
994#384C2312yes—
995#384C2312yes—
996#384C2311yescharacteristic
997#384C2312yes—
998#384C2312yes—
999#384C2311yescharacteristic
1000#384C2311yescharacteristic
1001#384C2312yes—
1002#384C2311yescharacteristic
1003#383C2312yes—
1004#383C2312yes—
1005#383C2312yes—
1006#383C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#381C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2311yescharacteristic
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2311yescharacteristic
1044#380C2312yes—
1045#380C2311yescharacteristic
1046#380C2311yescharacteristic
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2311yescharacteristic
1060C4×C4⋊C4C2311yescharacteristic
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2311yescharacteristic
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2311yescharacteristic
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C2×#95C2312yes—
1095C2×#95C2311yescharacteristic
1096C2×#95C2311yescharacteristic
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C22×Q8C2411yescharacteristic
1102C22×Q8C2411yescharacteristic
1103C22×Q8C2412yes—
1104C22×Q8C2411yescharacteristic
1105C22×Q8C2412yes—
1106C22×Q8C2412yes—
1107C22×D4C2412yes—
1108C22×D4C2411yescharacteristic
1109C23×C4C2411yescharacteristic
1110C23×C4C2412yes—
1111C23×C4C2412yes—
1112C23×C4C2411yescharacteristic
1113C23×C4C2412yes—
1114C23×C4C2412yes—
1115C23×C4C2411yescharacteristic
1116C23×C4C2412yes—
1117C23×C4C2412yes—
1118C23×C4C2411yescharacteristic
1119C23×C4C2411yescharacteristic
1120C23×C4C2412yes—
1121C23×C4C2411yescharacteristic
1122C23×C4C2411yescharacteristic
1123C4⋊Q8—44no—
1124#126—44no—
1125#126—44no—
1126#126—44no—
1127#125—28no—
1128#125—44no—
1129#125—44no—
1130#125—44no—
1131#125—44no—
1132#125—44no—
1133#125—44no—
1134#125—44no—
1135#125—44no—
1136#125—44no—
1137#125—44no—
1138#125—44no—
1139#125—44no—
1140#125—44no—
1141#125—44no—
1142#125—44no—
1143#123—44no—
1144#123—44no—
1145#123—44no—
1146#123—44no—
1147#123—44no—
1148C22⋊Q8—24no—
1149C22⋊Q8—24no—
1150C22⋊Q8—24no—
1151C22⋊Q8—28no—
1152C22⋊Q8—44no—
1153C22⋊Q8—44no—
1154C22⋊Q8—44no—
1155C22⋊Q8—44no—
1156C22⋊Q8—44no—
1157C22⋊Q8—44no—
1158C22⋊Q8—44no—
1159C22⋊Q8—44no—
1160#121—24no—
1161C4×Q8—42no—
1162C4×Q8—42no—
1163C4×Q8—42no—
1164C4×Q8—44no—
1165C4×Q8—44no—
1166C4×D4—28no—
1167C4×D4—42no—
1168C4×D4—44no—
1169C4×D4—44no—
1170#117—44no—
1171#117—44no—
1172#117—44no—
1173#117—44no—
1174#117—44no—
1175C2×C4⋊C4—24no—
1176C2×C4⋊C4—28no—
1177C2×C4⋊C4—28no—
1178C2×C4⋊C4—28no—
1179C2×C4⋊C4—24no—
1180C2×C4⋊C4—24no—
1181C2×C4⋊C4—42no—
1182C2×C4⋊C4—44no—
1183C2×C4⋊C4—42no—
1184C2×C4⋊C4—42no—
1185C2×C4⋊C4—44no—
1186C2×C4⋊C4—44no—
1187C2×C4⋊C4—44no—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2412yes—
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2412yes—
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2412yes—
1194C2×C4⋊C4C2412yes—
1195C2×C4⋊C4C2412yes—
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2411yescharacteristic
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2411yescharacteristic
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2411yescharacteristic
1214C2×C4⋊C4C2411yescharacteristic
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2411yescharacteristic
1242C2×C4⋊C4C2411yescharacteristic
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2411yescharacteristic
1245C2×C4⋊C4C2411yescharacteristic
1246C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2411yescharacteristic
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2411yescharacteristic
1289C2×C4⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2411yescharacteristic
1291C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C42—42no—
1345C2×C42—42no—
1346C2×C42—44no—
1347C2×C42—42no—
1348C2×C42C2412yes—
1349C2×C42C2411yescharacteristic
1350C2×C42C2411yescharacteristic
1351C2×C42C2412yes—
1352C2×C42C2412yes—
1353C2×C42C2412yes—
1354C2×C42C2412yes—
1355C2×C42C2412yes—
1356C2×C42C2412yes—
1357C2×C42C2412yes—
1358C2×C42C2412yes—
1359C2×C42C2412yes—
1360C2×C42C2412yes—
1361C2×C42C2412yes—
1362C2×C42C2412yes—
1363C2×C42C2412yes—
1364C2×C42C2412yes—
1365C2×C42C2412yes—
1366C2×C42C2412yes—
1367C2×C42C2412yes—
1368C2×C42C2412yes—
1369C2×C42C2412yes—
1370C2×C42C2412yes—
1371C2×C42C2411yescharacteristic
1372C2×C42C2412yes—
1373C2×C42C2412yes—
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2411yescharacteristic
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381#95C2412yes—
1382#95C2412yes—
1383#95C2412yes—
1384#95C2412yes—
1385#95C2412yes—
1386#95C2412yes—
1387#95C2412yes—
1388#95C2412yes—
1389#95C2412yes—
1390#95C2412yes—
1391#95C2412yes—
1392#95C2412yes—
1393#95C2412yes—
1394#95C2412yes—
1395#95C2412yes—
1396#95C2412yes—
1397#95C2412yes—
1398#95C2412yes—
1399#95C2412yes—
1400#95C2412yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2412yes—
1404#95C2412yes—
1405#95C2412yes—
1406#95C2412yes—
1407#95C2412yes—
1408#95C2412yes—
1409#95C2412yes—
1410#95C2412yes—
1411#95C2412yes—
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513C24C2512yes—
1514C24C2511yescharacteristic
1515C2×Q8—22no—
1516C2×Q8—22no—
1517C2×Q8—22no—
1518C2×Q8—24no—
1519C2×Q8—41no—
1520C2×Q8—41no—
1521C2×Q8—42no—
1522C2×Q8—41no—
1523C2×Q8—41no—
1524C2×Q8—41no—
1525C2×Q8—41no—
1526C2×Q8—42no—
1527C2×Q8—42no—
1528C2×Q8—42no—
1529C2×Q8—42no—
1530C2×Q8—42no—
1531C2×Q8—42no—
1532C2×Q8—42no—
1533C2×D4—24no—
1534C2×D4—24no—
1535C2×D4—24no—
1536C2×D4—22no—
1537C2×D4—41no—
1538C2×D4—41no—
1539C22×C4—22no—
1540C22×C4—22no—
1541C22×C4—22no—
1542C22×C4—22no—
1543C22×C4—24no—
1544C22×C4—24no—
1545C22×C4—22no—
1546C22×C4—24no—
1547C22×C4—22no—
1548C22×C4—24no—
1549C22×C4—24no—
1550C22×C4—22no—
1551C22×C4—24no—
1552C22×C4—24no—
1553C22×C4—24no—
1554C22×C4—22no—
1555C22×C4—22no—
1556C22×C4—24no—
1557C22×C4—24no—
1558C22×C4—24no—
1559C22×C4—41no—
1560C22×C4—41no—
1561C22×C4—41no—
1562C22×C4—41no—
1563C22×C4—41no—
1564C22×C4—42no—
1565C22×C4—41no—
1566C22×C4—41no—
1567C22×C4—42no—
1568C22×C4—42no—
1569C22×C4—42no—
1570C22×C4—42no—
1571C22×C4—42no—
1572C22×C4—42no—
1573C22×C4—41no—
1574C22×C4—41no—
1575C22×C4—41no—
1576C22×C4—42no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4H(5,𝔽2)14yes—
1580C22×C42−1+414yes—
1581C22×C4C2512yes—
1582C22×C4C2512yes—
1583C22×C4C2512yes—
1584C22×C4C2512yes—
1585C22×C4C2512yes—
1586C22×C4C2512yes—
1587C22×C4C2512yes—
1588C22×C4C2512yes—
1589C22×C4C2512yes—
1590C22×C4C2512yes—
1591C22×C4C2512yes—
1592C22×C4C2512yes—
1593C22×C4C2512yes—
1594C22×C4C2512yes—
1595C22×C4C2512yes—
1596C22×C4C2512yes—
1597C22×C4C2512yes—
1598C22×C4C2512yes—
1599C22×C4C2512yes—
1600C22×C4C2512yes—
1601C22×C4C2512yes—
1602C22×C4C2512yes—
1603C22×C4C2512yes—
1604C22×C4C2512yes—
1605C22×C4C2512yes—
1606C22×C4C2512yes—
1607C22×C4C2511yescharacteristic
1608C22×C4C2511yescharacteristic
1609C22×C4C2511yescharacteristic
1610C22×C4C2511yescharacteristic
1611C22×C4C2512yes—
1612C22×C4C2511yescharacteristic
1613C22×C4C2511yescharacteristic
1614C4⋊C4—24no—
1615C4⋊C4—24no—
1616C4⋊C4—24no—
1617C4⋊C4—24no—
1618C4⋊C4—24no—
1619C4⋊C4—24no—
1620C4⋊C4—24no—
1621C4⋊C4—24no—
1622C4⋊C4—24no—
1623C4⋊C4—24no—
1624C4⋊C4—24no—
1625C4⋊C4—22no—
1626C4⋊C4—24no—
1627C4⋊C4—22no—
1628C4⋊C4—24no—
1629C4⋊C4—24no—
1630C4⋊C4—22no—
1631C4⋊C4—24no—
1632C4⋊C4—24no—
1633C4⋊C4—24no—
1634C4⋊C4—24no—
1635C4⋊C4—24no—
1636C4⋊C4—24no—
1637C4⋊C4—22no—
1638C4⋊C4—22no—
1639C4⋊C4—24no—
1640C4⋊C4—24no—
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—41no—
1652C4⋊C4—41no—
1653C4⋊C4—41no—
1654C4⋊C4—41no—
1655C4⋊C4—42no—
1656C4⋊C4—42no—
1657C4⋊C4—41no—
1658C4⋊C4—41no—
1659C4⋊C4—42no—
1660C4⋊C4—42no—
1661C4⋊C4—42no—
1662C4⋊C4—42no—
1663C4⋊C4—42no—
1664C4⋊C4—42no—
1665C4⋊C4—42no—
1666C4⋊C4—42no—
1667C4⋊C4—42no—
1668C4⋊C4—42no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—41no—
1674C4⋊C4—41no—
1675C4⋊C4—41no—
1676C4⋊C4—42no—
1677C4⋊C4—41no—
1678C4⋊C4—42no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—42no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—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—41no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—41no—
1707C4⋊C4—41no—
1708C4⋊C4—41no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—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⋊C42−1+414yes—
1737C22⋊C4—24no—
1738C22⋊C4—24no—
1739C22⋊C4—24no—
1740C22⋊C4—24no—
1741C22⋊C4—24no—
1742C22⋊C4—24no—
1743C22⋊C4—24no—
1744C22⋊C4—24no—
1745C22⋊C4—24no—
1746C22⋊C4—24no—
1747C22⋊C4—24no—
1748C22⋊C4—24no—
1749C22⋊C4—42no—
1750C22⋊C4—42no—
1751C22⋊C4—42no—
1752C22⋊C4—42no—
1753C22⋊C4—42no—
1754C22⋊C4—42no—
1755C22⋊C4—42no—
1756C22⋊C4—42no—
1757C22⋊C4—42no—
1758C22⋊C4—42no—
1759C22⋊C4—42no—
1760C22⋊C4—42no—
1761C22⋊C4—42no—
1762C22⋊C4—42no—
1763C22⋊C4—42no—
1764C22⋊C4—42no—
1765C22⋊C4—42no—
1766C22⋊C4—42no—
1767C22⋊C4—42no—
1768C22⋊C4—42no—
1769C22⋊C4—42no—
1770C42—24no—
1771C42—24no—
1772C42—22no—
1773C42—22no—
1774C42—24no—
1775C42—41no—
1776C42—41no—
1777C42—42no—
1778C42—42no—
1779C42—42no—
1780C42—42no—
1781C42—42no—
1782C42—42no—
1783C42—42no—
1784C42—42no—
1785C42—42no—
1786C42—42no—
1787C42—42no—
1788C42—42no—
1789C42—42no—
1790C42—42no—
1791C42—42no—
1792C42—42no—
1793C42—42no—
1794C42—42no—
1795C42—42no—
1796C42—42no—
1797C42—42no—
1798C42—42no—
1799C42—42no—
1800C42—42no—
1801C42—42no—
1802C42—42no—
1803C23—21no—
1804C23—21no—
1805C23—21no—
1806C23—21no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23C2×H(5,𝔽2)12yes—
1815C23C2×2−1+412yes—
1816C23#58512yes—
1817C23C2611yescharacteristic
1818Q8—44no—
1819Q8—82no—
1820Q8—82no—
1821Q8—84no—
1822Q8—162no—
1823Q8—162no—
1824D4—48no—
1825D4—82no—
1826C2×C4—28no—
1827C2×C4—22no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—22no—
1840C2×C4—21no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—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—44no—
1920C2×C4—44no—
1921C2×C4—48no—
1922C2×C4—44no—
1923C2×C4—48no—
1924C2×C4—44no—
1925C2×C4—48no—
1926C2×C4—84no—
1927C2×C4—84no—
1928C2×C4—82no—
1929C2×C4—84no—
1930C2×C4—82no—
1931C2×C4—162no—
1932C2×C4C2×H(5,𝔽2)12yes—
1933C2×C4C2×H(5,𝔽2)12yes—
1934C2×C4C2×2−1+414yes—
1935C2×C4C2×2−1+412yes—
1936C2×C4C2×2−1+412yes—
1937C2×C4C2×2−1+412yes—
1938C2×C4#58512yes—
1939C22—22no—
1940C22—22no—
1941C22—22no—
1942C22—22no—
1943C22—22no—
1944C22—22no—
1945C22—42no—
1946C22—42no—
1947C22—42no—
1948C22—42no—
1949C22—42no—
1950C22—42no—
1951C22—42no—
1952C22#355414yes—
1953C22C22×H(5,𝔽2)11yescharacteristic
1954C22C22×2−1+411yescharacteristic
1955C22C22×2−1+411yescharacteristic
1956C22C2×#58511yescharacteristic
1957C22C2×#58511yescharacteristic
1958C222−1+611yescharacteristic
1959C222−1+611yescharacteristic
1960C4—22no—
1961C4—22no—
1962C4—22no—
1963C4—22no—
1964C4—22no—
1965C4—22no—
1966C4—24no—
1967C4—42no—
1968C4—42no—
1969C4—42no—
1970C4—42no—
1971C4—42no—
1972C4—42no—
1973C4—42no—
1974C4—42no—
1975C4—42no—
1976C4—42no—
1977C4—42no—
1978C4—42no—
1979C4—42no—
1980C4—42no—
1981C4—42no—
1982C4—42no—
1983C4—42no—
1984C4—42no—
1985C4—42no—
1986C4—42no—
1987C4—42no—
1988C4—42no—
1989C4—42no—
1990C4—42no—
1991C4—42no—
1992C4—42no—
1993C2—24no—
1994C2—82no—
1995C2C2×#355411yescharacteristic
1996C2#6282511yescharacteristic
1997C2#6287311yescharacteristic
1998C2#6290111yescharacteristic
1999C2#6290411yescharacteristic
2000C2#6294211yescharacteristic
2001C2#6294711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59866C2semidirect
3. #59329C2semidirect
5. #55542C2semidirect
6. #55540C2semidirect
7. #55290C2semidirect
8. #55288C2semidirect
9. #53854C2semidirect
10. #53821C2semidirect
11. #53734C2semidirect
12. #53577C2semidirect
13. #50806C2semidirect
14. #50775C2semidirect
15. #50708C2semidirect
16. #50325C2semidirect
17. #48734C2semidirect
18. #48512C2semidirect
19. #48232C2semidirect
20. #47979C2semidirect
21. #45752C2semidirect
22. #45752C2semidirect
23. #41431C2semidirect
24. #41411C2semidirect
26. #41393C2semidirect
28. #39122C2semidirect
29. #38103C2semidirect
30. #38045C2semidirect
31. #36824C2semidirect
32. #35059C2semidirect
34. #35013C2semidirect
35. C2×#2506C2semidirect

Maximal subgroups

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

subgroupindex
#598662
#598302
#593292
#593122
#555422
#555402
#552902
#552882
#538542
#538212
#537342
#535772
#508062
#507752
#507082
#503252
#487342
#485122
#482322
#479792
#457522
#414312
#414112
#413952
#413932
#392662
#391222
#381032
#380452
#368242
#350592
#350212
#350132
C2×#25062