Finite Group Databasebeta

← #7986137

Subgroups — #7986137

Order 512.

4616 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59580C212yesmaximal, complemented
2#59444C211yesmaximal, characteristic, complemented
3#59444C212yesmaximal, complemented
4#59305C211yesmaximal, characteristic, complemented
5#59243C211yesmaximal, characteristic, complemented
6#50629C214yesmaximal, complemented
7#49539C214yesmaximal, complemented
8#45934C214yesmaximal, complemented
9#45315C212yesmaximal
10#45223C212yesmaximal, complemented
11#45130C212yesmaximal, complemented
12#45120C212yesmaximal, complemented
13#42897C212yesmaximal, complemented
14#42865C212yesmaximal, complemented
15#42669C212yesmaximal, complemented
16#42668C212yesmaximal, complemented
17#40257C214yesmaximal, complemented
18#39606C211yesmaximal, characteristic, complemented
19#39484C212yesmaximal, complemented
20#39298C212yesmaximal, complemented
21#39156C211yesmaximal, characteristic, complemented
22#39139C211yesmaximal, characteristic, complemented
23#39139C211yesmaximal, characteristic, complemented
24#36600C211yesmaximal, characteristic, complemented
25#36298C212yesmaximal, complemented
26#36270C212yesmaximal, complemented
27#36270C211yesmaximal, characteristic, complemented
28#36181C211yesmaximal, characteristic, complemented
29#35216C212yesmaximal, complemented
30#35183C212yesmaximal, complemented
31#34934C211yesmaximal, characteristic
32#34898C211yesmaximal, characteristic, complemented
33#34384C211yesmaximal, characteristic, complemented
34#34383C211yesmaximal, characteristic, complemented
35C4×#557C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#552C2212yes—
38C2×#552C2212yes—
39C2×#552C2212yes—
40C2×#529C2211yescharacteristic
41C2×#529C2211yescharacteristic
42#2866C2214yes—
43#2865C2214yes—
44#2860C2214yes—
45#2860C2212yes—
46#2859C2212yes—
47#2859C2211yescharacteristic
48#2857C2211yescharacteristic
49#2857C2211yescharacteristic
50#2837C2214yes—
51#2836C2214yes—
52#2802C2214yes—
53#2800C2214yes—
54#2797C2214yes—
55#2797C2214yes—
56#2793C2214yes—
57#2793C2214yes—
58#2791C2214yes—
59#2791C2214yes—
60#2790C2214yes—
61#2787C2214yes—
62#2786C2214yes—
63#2786C2214yes—
64#2783C2214yes—
65#2782C2214yes—
66#2781C2214yes—
67#2777C2214yes—
68#2768C2214yes—
69#2765C2214yes—
70#2752C2214yes—
71#2748C2214yes—
72#2740C2214yes—
73#2740C2214yes—
74#2726C2214yes—
75#2726C2214yes—
76#2724C2214yes—
77#2724C2214yes—
78#2721C2214yes—
79#2721C2214yes—
80#2694C2214yes—
81#2694C2214yes—
82#2694C2214yes—
83#2694C2214yes—
84#2694C2214yes—
85#2667C2214yes—
86#2655C2214yes—
87#2654C2214yes—
88#2651C2214yes—
89#2651C2214yes—
90#2649C2214yes—
91#2644C2212yes—
92#2629C2212yes—
93#2621C2212yes—
94#2621C2212yes—
95#2601C2214yes—
96#2601C2214yes—
97#2601C2214yes—
98#2600C2214yes—
99#2596C2214yes—
100#2595C2214yes—
101#2594C2214yes—
102#2594C2214yes—
103#2593C2214yes—
104#2590C2214yes—
105#2587C2214yes—
106#2585C2214yes—
107#2585C2214yes—
108#2585C2214yes—
109#2579C2214yes—
110#2577C2214yes—
111#2577C2212yes—
112#2575C2212yes—
113#2570C2212yes—
114#2570C2212yes—
115#2570C2211yescharacteristic
116#2566C2212yes—
117#2565C2211yescharacteristic
118#2565C2212yes—
119#2562C2211yescharacteristic
120#2562C2212yes—
121#2558C2214yes—
122#2558C2214yes—
123#2558C2214yes—
124#2554C2212yes—
125#2554C2212yes—
126#2552C2212yes—
127#2552C2214yes—
128#2552C2211yescharacteristic
129#2552C2211yescharacteristic
130#2552C2212yes—
131#2552C2212yes—
132#2552C2211yescharacteristic
133#2548C2211yescharacteristic
134#2542C2212yes—
135#2542C2212yes—
136#2542C2211yescharacteristic
137#2542C2211yescharacteristic
138#2541C2211yescharacteristic
139#2538C2211yescharacteristic
140#2538C2211yescharacteristic
141#2538C2211yescharacteristic
142#2538C2212yes—
143#2538C2212yes—
144#2536C2211yescharacteristic
145#2536C2212yes—
146#2536C2212yes—
147#2536C2212yes—
148#2536C2212yes—
149#2525C2214yes—
150#2524C2212yes—
151#2522C2214yes—
152#2516C2214yes—
153#2513C2212yes—
154#2512C2214yes—
155#2512C2212yes—
156#2512C2212yes—
157#2507C2212yes—
158#2507C2212yes—
159#2506C2212yes—
160#2506C2212yes—
161#2506C2212yes—
162#2506C2214yes—
163#2503C2212yes—
164#2502C2212yes—
165#2502C2212yes—
166#2499C2212yes—
167#2499C2212yes—
168#2499C2212yes—
169#2497C2212yes—
170#2497C2212yes—
171#2496C2211yescharacteristic
172#2496C2212yes—
173#2496C2212yes—
174#2495C2211yescharacteristic
175#2494C2212yes—
176#2494C2212yes—
177#2490C2212yes—
178#2490C2212yes—
179#2490C2212yes—
180#2490C2212yes—
181#2490C2211yescharacteristic
182#2490C2211yescharacteristic
183#2486C2212yes—
184#2486C2212yes—
185#2479C2214yes—
186#2479C2214yes—
187#2479C2214yes—
188#2478C2214yes—
189#2478C2214yes—
190#2478C2214yes—
191#2478C2214yes—
192#2468C2214yes—
193#2468C2212yes—
194#2466C2214yes—
195#2454C2212yes—
196#2453C2212yes—
197#2453C2212yes—
198#2448C2212yes—
199#2448C2212yes—
200#2445C2214yes—
201#2445C2212yes—
202#2445C2214yes—
203#2445C2212yes—
204#2445C2212yes—
205#2442C2212yes—
206#2426C2211yescharacteristic
207#2426C2211yescharacteristic
208#2423C2211yescharacteristic
209#2423C2212yes—
210#2423C2212yes—
211#2423C2212yes—
212#2421C2211yescharacteristic
213#2421C2212yes—
214#2417C2212yes—
215#2417C2212yes—
216#2417C2212yes—
217#2415C2212yes—
218#2415C2212yes—
219#2415C2212yes—
220#2402C2212yes—
221#2395C2212yes—
222#2392C2212yes—
223#2392C2212yes—
224#2383C2214yes—
225#2376C2214yes—
226#2370C2212yes—
227#2370C2212yes—
228#2370C2212yes—
229#2370C2212yes—
230#2370C2214yes—
231#2370C2212yes—
232#2367C2212yes—
233#2365C2212yes—
234#2365C2211yescharacteristic
235#2361C2212yes—
236#2361C2212yes—
237#2360C2212yes—
238#2355C2212yes—
239#2355C2211yescharacteristic
240#2355C2211yescharacteristic
241#2355C2211yescharacteristic
242#2354C2214yes—
243#2354C2212yes—
244#2354C2211yescharacteristic
245#2354C2212yes—
246#2354C2212yes—
247#2354C2211yescharacteristic
248#2352C2212yes—
249#2352C2212yes—
250#2352C2212yes—
251#2351C2212yes—
252Q8×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2212yes—
254D4×C4⋊C4C2211yescharacteristic
255D4×C4⋊C4C2212yes—
256D4×C4⋊C4C2211yescharacteristic
257#2344C2212yes—
258#2344C2212yes—
259#2334C2214yes—
260#2330C2212yes—
261#2330C2212yes—
262#2326C2212yes—
263#2324C2212yes—
264#2324C2212yes—
265#2323C2212yes—
266#2323C2212yes—
267#2323C2212yes—
268#2322C2214yes—
269#2317C2212yes—
270#2317C2212yes—
271#2314C2212yes—
272#2314C2212yes—
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×#127C2212yes—
276C4×#127C2211yescharacteristic
277C4×#125C2211yescharacteristic
278C4×#125C2212yes—
279C4×#125C2214yes—
280C4×#125C2212yes—
281C4×#126C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286#2298C2212yes—
287#2293C2212yes—
288#2293C2214yes—
289#2293C2212yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292C2×#384C2211yescharacteristic
293#2283C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2212yes—
298C42×D4C2211yescharacteristic
299#557—28no—
300#552—48no—
301#552—48no—
302#552—48no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×#127C2312yes—
306C2×#127C2311yescharacteristic
307#529—28no—
308#529—28no—
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#124C2311yescharacteristic
327C2×#124C2311yescharacteristic
328C2×#123C2312yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2314yes—
381C2×#117C2314yes—
382C2×#117C2314yes—
383C2×#117C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391#401C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#400C2314yes—
400#400C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#399C2312yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2312yes—
416#398C2314yes—
417#398C2312yes—
418#398C2314yes—
419#398C2312yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2314yes—
439#398C2312yes—
440#398C2314yes—
441#397C2312yes—
442#397C2312yes—
443#397C2312yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2312yes—
460#397C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2312yes—
465#396C2314yes—
466#396C2314yes—
467#396C2312yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2312yes—
474#396C2312yes—
475#394C2314yes—
476#394C2312yes—
477#394C2312yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2312yes—
486#394C2312yes—
487#394C2312yes—
488#394C2312yes—
489#394C2312yes—
490#394C2314yes—
491#392C2312yes—
492#392C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2311yescharacteristic
499#391C2311yescharacteristic
500#391C2312yes—
501#391C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2311yescharacteristic
506#390C2312yes—
507#390C2312yes—
508#390C2311yescharacteristic
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2311yescharacteristic
513#390C2312yes—
514#390C2312yes—
515#390C2314yes—
516#390C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2314yes—
521#390C2312yes—
522#390C2314yes—
523#390C2312yes—
524#390C2314yes—
525#390C2312yes—
526#390C2314yes—
527#390C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2314yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2311yescharacteristic
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#386C2314yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2312yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2311yescharacteristic
698#384C2312yes—
699#384C2311yescharacteristic
700#384C2312yes—
701#384C2311yescharacteristic
702#384C2312yes—
703#384C2312yes—
704#384C2312yes—
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2312yes—
708#384C2314yes—
709#384C2312yes—
710#384C2314yes—
711#383C2312yes—
712#383C2312yes—
713#382C2311yescharacteristic
714#382C2312yes—
715#382C2314yes—
716#382C2312yes—
717#382C2311yescharacteristic
718#382C2311yescharacteristic
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#381C2312yes—
724#381C2314yes—
725#381C2314yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2314yes—
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2314yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811#376C2312yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C43C2314yes—
816C22×Q8C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×D4C2411yescharacteristic
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2414yes—
836C23×C4C2411yescharacteristic
837C23×C4C2414yes—
838C23×C4C2414yes—
839C4⋊Q8—24no—
840C4⋊Q8—28no—
841#127—42no—
842#127—44no—
843#126—28no—
844#126—28no—
845#126—48no—
846#126—48no—
847#126—48no—
848#126—44no—
849#125—24no—
850#125—24no—
851#125—28no—
852#125—216no—
853#125—28no—
854#125—24no—
855#125—28no—
856#125—44no—
857#125—48no—
858#125—48no—
859#125—48no—
860#124—24no—
861#124—24no—
862#123—28no—
863#123—28no—
864#123—48no—
865#123—48no—
866#123—48no—
867C22⋊Q8—24no—
868C22⋊Q8—24no—
869C22⋊Q8—44no—
870C22⋊Q8—44no—
871C22⋊Q8—42no—
872C22⋊Q8—42no—
873C22⋊Q8—44no—
874C22⋊Q8—44no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879#121—24no—
880#121—24no—
881#121—24no—
882#121—24no—
883C4×Q8—28no—
884C4×Q8—24no—
885C4×Q8—24no—
886C4×Q8—28no—
887C4×Q8—24no—
888C4×Q8—28no—
889C4×Q8—44no—
890C4×Q8—42no—
891C4×Q8—44no—
892C4×Q8—42no—
893C4×Q8#4118yes—
894C4×D4—24no—
895C4×D4—24no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—28no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—42no—
906C4×D4—48no—
907C4×D4—48no—
908C4×D4—42no—
909#117—28no—
910#117—28no—
911#117—44no—
912#117—48no—
913#117—48no—
914#117—48no—
915#117—44no—
916#117—44no—
917#117—44no—
918C2×C4⋊C4—44no—
919C2×C4⋊C4—44no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4—44no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C42—24no—
1059C2×C42—24no—
1060C2×C42C2414yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165C24C2512yes—
1166C24C2512yes—
1167C24C2511yescharacteristic
1168C24C2511yescharacteristic
1169C2×Q8—22no—
1170C2×Q8—24no—
1171C2×Q8—24no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—24no—
1177C2×Q8C2×#4114yes—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—22no—
1181C2×D4—24no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—24no—
1185C2×D4—22no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—24no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—42no—
1194C2×D4—41no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C22×C4—22no—
1206C22×C4—28no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—41no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—41no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—41no—
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2514yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2514yes—
1253C22×C4C2512yes—
1254C22×C4C2514yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2514yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—22no—
1278C4⋊C4—24no—
1279C4⋊C4—28no—
1280C4⋊C4—28no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—28no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—28no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—28no—
1296C4⋊C4—24no—
1297C4⋊C4—28no—
1298C4⋊C4—24no—
1299C4⋊C4—28no—
1300C4⋊C4—28no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—41no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—41no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4C2×#4114yes—
1349C4⋊C4C2×#4118yes—
1350C4⋊C42−1+414yes—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—22no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—22no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—22no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—44no—
1395C22⋊C4—41no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C42—22no—
1405C42—22no—
1406C42—22no—
1407C42—22no—
1408C42—22no—
1409C42—22no—
1410C42—28no—
1411C42—24no—
1412C42—28no—
1413C42—24no—
1414C42—24no—
1415C42—22no—
1416C42—24no—
1417C42—24no—
1418C42—24no—
1419C42—24no—
1420C42—22no—
1421C42—22no—
1422C42—42no—
1423C42—41no—
1424C42—42no—
1425C42—44no—
1426C42—44no—
1427C42—44no—
1428C42—44no—
1429C42—44no—
1430C42—44no—
1431C42—41no—
1432C42—44no—
1433C42—42no—
1434C42—44no—
1435C42—42no—
1436C42—42no—
1437C42—42no—
1438C42C2×#4114yes—
1439C42C2×#4118yes—
1440C42H(5,𝔽2)14yes—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—22no—
1448C23—22no—
1449C23—21no—
1450C23—21no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—21no—
1456C23—21no—
1457C23—22no—
1458C23—21no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—21no—
1465C23—22no—
1466C23—22no—
1467C23—21no—
1468C23#58512yes—
1469C23C2611yescharacteristic
1470Q8—28no—
1471Q8—44no—
1472Q8—48no—
1473D4—48no—
1474D4—44no—
1475D4—48no—
1476D4—44no—
1477D4—44no—
1478D4—84no—
1479D4—84no—
1480D4—84no—
1481D4—84no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—24no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—48no—
1569C2×C4—48no—
1570C2×C4—82no—
1571C2×C4—88no—
1572C2×C4—88no—
1573C2×C4—88no—
1574C2×C4C22×#4114yes—
1575C2×C4C22×#4112yes—
1576C2×C4C22×#4114yes—
1577C2×C4C22×#4112yes—
1578C2×C4C22×#4112yes—
1579C2×C4C2×H(5,𝔽2)12yes—
1580C2×C4C2×H(5,𝔽2)12yes—
1581C2×C4C2×H(5,𝔽2)12yes—
1582C2×C4C2×2−1+414yes—
1583C2×C4C2×2−1+412yes—
1584C2×C4#58512yes—
1585C2×C4#58512yes—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—41no—
1599C22—42no—
1600C22—41no—
1601C22—42no—
1602C22—41no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—41no—
1608C22—42no—
1609C22—42no—
1610C22—41no—
1611C22—41no—
1612C22—42no—
1613C22—42no—
1614C22C23×#4111yescharacteristic
1615C22C22×H(5,𝔽2)11yescharacteristic
1616C22C22×2−1+411yescharacteristic
1617C22C2×#58511yescharacteristic
1618C22C2×#58511yescharacteristic
1619C22C2×#58511yescharacteristic
1620C222−1+611yescharacteristic
1621C4—22no—
1622C4—24no—
1623C4—22no—
1624C4—24no—
1625C4—24no—
1626C4—22no—
1627C4—42no—
1628C4—41no—
1629C4—41no—
1630C4—42no—
1631C4—44no—
1632C4—42no—
1633C4—44no—
1634C4—41no—
1635C4—42no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—42no—
1641C4—42no—
1642C4—44no—
1643C4—42no—
1644C4—42no—
1645C4—42no—
1646C4—42no—
1647C4—41no—
1648C4—42no—
1649C4—44no—
1650C4#350714yes—
1651C4#351714yes—
1652C2—42no—
1653C2—81no—
1654C2—82no—
1655C2—82no—
1656C2#6274811yescharacteristic
1657C2C2×#350711yescharacteristic
1658C2C2×#351711yescharacteristic
1659C2#6293911yescharacteristic
1660C2#6294611yescharacteristic
1661C2#6299311yescharacteristic
1662C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2541C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59580C2semidirect
2. #59444C2semidirect
3. #59444C2semidirect
4. #59305C2semidirect
5. #59243C2semidirect
6. #50629C2semidirect
7. #49539C2semidirect
8. #45934C2semidirect
10. #45223C2semidirect
11. #45130C2semidirect
12. #45120C2semidirect
13. #42897C2semidirect
14. #42865C2semidirect
15. #42669C2semidirect
16. #42668C2semidirect
17. #40257C2semidirect
18. #39606C2semidirect
19. #39484C2semidirect
20. #39298C2semidirect
21. #39156C2semidirect
22. #39139C2semidirect
23. #39139C2semidirect
24. #36600C2semidirect
25. #36298C2semidirect
26. #36270C2semidirect
27. #36270C2semidirect
28. #36181C2semidirect
29. #35216C2semidirect
30. #35183C2semidirect
32. #34898C2semidirect
33. #34384C2semidirect
34. #34383C2semidirect
35. C4×#557C2semidirect

Maximal subgroups

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

subgroupindex
#595802
#594442
#593052
#592432
#506292
#495392
#459342
#453152
#452232
#451302
#451202
#428972
#428652
#426692
#426682
#402572
#396062
#394842
#392982
#391562
#391392
#366002
#362982
#362702
#361812
#352162
#351832
#349342
#348982
#343842
#343832
C4×#5572