Finite Group Databasebeta

← #8701378

Subgroups — #8701378

Order 512.

5889 conjugacy classes of subgroups.

The subgroup lattice has 1707 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59940C212yesmaximal, complemented
2#59631C211yesmaximal, characteristic, complemented
3#59124C212yesmaximal, complemented
4#59003C212yesmaximal, complemented
5#59000C211yesmaximal, characteristic, complemented
6#55265C214yesmaximal, complemented
7#55105C214yesmaximal, complemented
8#53434C214yesmaximal, complemented
9#52293C211yesmaximal, characteristic, complemented
10#50646C212yesmaximal, complemented
11#49838C214yesmaximal, complemented
12#49700C214yesmaximal, complemented
13#47846C212yesmaximal, complemented
14#46328C211yesmaximal, characteristic, complemented
15#46050C212yesmaximal, complemented
16#45036C212yesmaximal, complemented
17#45010C212yesmaximal, complemented
18#45002C212yesmaximal, complemented
19#42927C212yesmaximal, complemented
20#42565C212yesmaximal, complemented
21#42438C212yesmaximal, complemented
22#39862C212yesmaximal, complemented
23#39338C211yesmaximal, characteristic, complemented
24#39336C211yesmaximal, characteristic, complemented
25#39006C212yesmaximal, complemented
26#37332C214yesmaximal, complemented
27#37129C212yesmaximal, complemented
28#36260C211yesmaximal, characteristic, complemented
29#36251C212yesmaximal, complemented
30C2×#560C2212yes—
31C2×#553C2212yescomplemented
32C2×#550C2212yes—
33C2×#547C2211yescharacteristic, complemented
34C2×#546C2212yescomplemented
35C2×#546C2212yescomplemented
36C2×#546C2212yescomplemented
37C2×D42C2211yescharacteristic
38C2×#540C2212yescomplemented
39C2×#534C2212yes—
40C2×#534C2212yes—
41C22×#127C2211yescharacteristic, complemented
42C2×#525C2212yescomplemented
43C22×#121C2211yescharacteristic, complemented
44#2860C2212yescomplemented
45#2858C2211yescharacteristic, complemented
46#2856C2212yescomplemented
47#2854C2214yescomplemented
48#2854C2211yescharacteristic, complemented
49#2847C2211yescharacteristic, complemented
50#2837C2214yescomplemented
51#2828C2214yescomplemented
52#2823C2212yescomplemented
53#2813C2214yescomplemented
54#2813C2214yescomplemented
55#2797C2214yescomplemented
56#2797C2212yescomplemented
57#2790C2212yescomplemented
58#2771C2212yescomplemented
59#2768C2214yescomplemented
60#2757C2212yescomplemented
61#2752C2214yescomplemented
62#2752C2214yescomplemented
63#2749C2214yescomplemented
64#2749C2212yescomplemented
65#2748C2211yescharacteristic
66#2748C2214yescomplemented
67#2724C2212yes—
68#2714C2214yescomplemented
69#2714C2214yescomplemented
70#2714C2214yescomplemented
71#2709C2211yescharacteristic
72#2709C2214yescomplemented
73#2708C2214yescomplemented
74#2706C2214yescomplemented
75#2706C2214yescomplemented
76#2706C2214yescomplemented
77#2706C2214yescomplemented
78#2706C2214yescomplemented
79#2703C2214yescomplemented
80#2703C2214yescomplemented
81#2701C2214yescomplemented
82#2701C2214yescomplemented
83#2699C2214yescomplemented
84#2699C2214yescomplemented
85#2699C2212yescomplemented
86#2697C2211yescharacteristic
87#2697C2212yes—
88#2697C2214yescomplemented
89#2695C2214yescomplemented
90#2693C2214yescomplemented
91#2691C2212yescomplemented
92#2691C2214yescomplemented
93#2688C2214yescomplemented
94#2688C2214yescomplemented
95#2685C2212yescomplemented
96#2682C2214yescomplemented
97#2682C2214yescomplemented
98#2679C2212yes—
99#2678C2214yescomplemented
100#2678C2214yescomplemented
101#2678C2214yescomplemented
102#2673C2214yescomplemented
103#2673C2214yescomplemented
104#2673C2214yescomplemented
105#2673C2214yescomplemented
106#2673C2214yescomplemented
107#2673C2214yescomplemented
108#2673C2214yescomplemented
109#2671C2214yescomplemented
110#2671C2214yescomplemented
111#2671C2214yescomplemented
112#2669C2214yes—
113#2669C2211yescharacteristic
114#2669C2214yescomplemented
115#2669C2214yescomplemented
116#2668C2214yes—
117#2668C2212yescomplemented
118#2668C2214yescomplemented
119#2661C2214yescomplemented
120#2651C2214yescomplemented
121#2636C2214yescomplemented
122#2630C2214yescomplemented
123#2624C2214yescomplemented
124#2620C2212yescomplemented
125#2619C2214yescomplemented
126#2618C2214yescomplemented
127#2617C2214yescomplemented
128#2613C2212yescomplemented
129#2613C2212yescomplemented
130#2603C2214yescomplemented
131#2579C2214yescomplemented
132#2575C2214yescomplemented
133#2570C2214yescomplemented
134#2554C2214yescomplemented
135#2554C2214yescomplemented
136#2553C2214yescomplemented
137#2548C2212yescomplemented
138#2544C2212yescomplemented
139#2542C2211yescharacteristic
140#2541C2214yescomplemented
141#2541C2212yescomplemented
142#2541C2211yescharacteristic, complemented
143#2541C2212yescomplemented
144#2541C2212yescomplemented
145#2541C2214yescomplemented
146#2540C2212yescomplemented
147#2540C2212yescomplemented
148#2539C2214yescomplemented
149#2539C2214yescomplemented
150#2537C2212yes—
151#2535C2214yescomplemented
152#2535C2214yescomplemented
153#2531C2214yescomplemented
154#2531C2214yescomplemented
155#2518C2214yescomplemented
156#2517C2212yescomplemented
157#2507C2212yescomplemented
158#2501C2211yescharacteristic, complemented
159#2501C2212yescomplemented
160#2490C2212yescomplemented
161#2489C2212yescomplemented
162#2489C2212yescomplemented
163#2486C2211yescharacteristic
164#2486C2212yescomplemented
165#2480C2214yescomplemented
166#2476C2214yescomplemented
167#2471C2214yescomplemented
168#2467C2214yescomplemented
169#2464C2214yescomplemented
170#2456C2214yescomplemented
171#2456C2214yescomplemented
172#2455C2212yescomplemented
173#2454C2212yescomplemented
174#2447C2212yescomplemented
175#2447C2212yescomplemented
176#2446C2212yescomplemented
177#2445C2214yescomplemented
178#2445C2212yescomplemented
179#2433C2212yes—
180#2433C2212yes—
181#2433C2214yescomplemented
182#2433C2211yescharacteristic, complemented
183#2433C2214yescomplemented
184#2432C2212yescomplemented
185#2431C2212yescomplemented
186#2431C2212yescomplemented
187#2431C2212yescomplemented
188#2428C2212yes—
189#2428C2212yes—
190#2428C2212yescomplemented
191#2428C2214yescomplemented
192#2428C2212yescomplemented
193#2428C2214yescomplemented
194#2427C2212yescomplemented
195#2427C2212yescomplemented
196#2426C2212yescomplemented
197#2424C2214yescomplemented
198#2424C2214yescomplemented
199#2423C2212yescomplemented
200#2422C2214yescomplemented
201#2422C2212yescomplemented
202#2420C2214yescomplemented
203#2418C2214yescomplemented
204#2418C2214yescomplemented
205#2418C2214yescomplemented
206#2417C2212yescomplemented
207#2416C2212yescomplemented
208#2416C2212yescomplemented
209#2416C2212yescomplemented
210#2415C2212yescomplemented
211#2414C2212yescomplemented
212#2412C2214yescomplemented
213#2412C2214yescomplemented
214#2412C2212yescomplemented
215#2411C2214yescomplemented
216#2410C2214yescomplemented
217#2410C2214yescomplemented
218#2410C2212yescomplemented
219#2410C2214yescomplemented
220#2408C2211yescharacteristic
221#2408C2212yes—
222#2408C2212yescomplemented
223#2407C2212yescomplemented
224#2407C2212yescomplemented
225#2405C2212yes—
226#2403C2212yes—
227#2395C2212yescomplemented
228#2392C2212yescomplemented
229#2392C2212yescomplemented
230#2377C2214yescomplemented
231#2374C2212yes—
232#2370C2212yescomplemented
233#2366C2212yescomplemented
234#2363C2212yescomplemented
235#2363C2212yescomplemented
236#2361C2212yescomplemented
237#2360C2212yescomplemented
238#2358C2212yes—
239#2358C2214yescomplemented
240#2354C2212yescomplemented
241#2346C2212yescomplemented
242D4×C22⋊C4C2214yescomplemented
243D4×C22⋊C4C2211yescharacteristic, complemented
244D4×C22⋊C4C2211yescharacteristic, complemented
245#2328C2214yescomplemented
246#2324C2212yescomplemented
247#2319C2214yescomplemented
248#2311C2212yescomplemented
249C4×#127C2211yescharacteristic
250C4×#126C2212yescomplemented
251C4×C22⋊Q8C2212yescomplemented
252C4×#123C2211yescharacteristic
253C4×#121C2212yescomplemented
254C4×#120C2211yescharacteristic
255C4×#120C2212yescomplemented
256C2×#390C2212yes—
257#2290C2214yescomplemented
258C42×D4C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C22×#41C2312yes—
261C23×D4C2311yescharacteristic
262C23×D4C2311yescharacteristic
263C23×D4C2312yes—
264C23×D4C2312yes—
265C23×D4C2311yescharacteristic
266C23×D4C2312yes—
267C23×D4C2312yes—
268C24×C4C2311yescharacteristic
269#560—48no—
270#553—48no—
271#550—48no—
272#547—44no—
273#546—48no—
274#546—48no—
275#546—48no—
276D42—44no—
277#540—48no—
278#534—48no—
279#534—48no—
280C2×C4⋊Q8C2311yescharacteristic
281C2×#127—44no—
282C2×#127C2311yescharacteristic
283C2×#127C2312yes—
284C2×#127C2314yes—
285C2×#127C2311yescharacteristic
286C2×#127C2314yes—
287C2×#127C2312yes—
288C2×#127C2314yes—
289C2×#127C2312yes—
290C2×#127C2312yes—
291C2×#127C2314yes—
292C2×#126C2312yes—
293C2×#126C2314yes—
294C2×#126C2314yes—
295C2×#125C2312yes—
296C2×#124C2312yes—
297C2×#124C2312yes—
298C2×#124C2312yes—
299#525—48no—
300C2×#123C2312yes—
301C2×#123C2311yescharacteristic
302C2×#123C2312yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2312yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2314yes—
312C2×#123C2314yes—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×#121—44no—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2311yescharacteristic
327C2×#121C2311yescharacteristic
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2312yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#120C2312yes—
355C2×#120C2311yescharacteristic
356C2×#120C2312yes—
357C2×#120C2312yes—
358C2×#120C2312yes—
359C2×#120C2314yes—
360C2×#120C2312yes—
361C2×#120C2314yes—
362C2×#120C2314yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368C2×#120C2312yes—
369C2×#120C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2314yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2311yescharacteristic
395C22×C22⋊C4C2314yes—
396C22×C22⋊C4C2312yes—
397C22×C22⋊C4C2314yes—
398C22×C22⋊C4C2312yes—
399C22×C22⋊C4C2312yes—
400C22×C22⋊C4C2314yes—
401C22×C42C2311yescharacteristic
402C22×C42C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#399C2312yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2312yes—
412#399C2314yes—
413#399C2314yes—
414#399C2312yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2312yes—
424#398C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2312yes—
436#397C2312yes—
437#397C2312yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#396C2312yes—
452#396C2312yes—
453#396C2314yes—
454#396C2314yes—
455#394C2312yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2312yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2312yes—
484#394C2312yes—
485#394C2312yes—
486#394C2312yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2312yes—
510#392C2312yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2312yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#390C2311yescharacteristic
529#390C2312yes—
530#390C2312yes—
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2314yes—
536#390C2314yes—
537#390C2314yes—
538#390C2312yes—
539#390C2314yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2312yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2314yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2312yes—
560#390C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2312yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2312yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2312yes—
630#386C2311yescharacteristic
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2311yescharacteristic
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2312yes—
645#386C2312yes—
646#386C2312yes—
647#386C2314yes—
648#386C2314yes—
649#386C2312yes—
650#386C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2312yes—
662#385C2311yescharacteristic
663#385C2314yes—
664#385C2311yescharacteristic
665#385C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#384C2311yescharacteristic
670#384C2312yes—
671#384C2312yes—
672#383C2312yes—
673#382C2314yes—
674#382C2314yes—
675#382C2314yes—
676#381C2314yes—
677#381C2314yes—
678#381C2312yes—
679#381C2311yescharacteristic
680#381C2314yes—
681#380C2314yes—
682#380C2314yes—
683#380C2314yes—
684#380C2314yes—
685#380C2312yes—
686#380C2311yescharacteristic
687#380C2312yes—
688#380C2312yes—
689#380C2311yescharacteristic
690#380C2314yes—
691#380C2314yes—
692#380C2314yes—
693#380C2314yes—
694#380C2312yes—
695#379C2312yes—
696#379C2312yes—
697#379C2314yes—
698#379C2314yes—
699#379C2311yescharacteristic
700#379C2312yes—
701#379C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2311yescharacteristic
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2311yescharacteristic
717C4×C22⋊C4C2311yescharacteristic
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2312yes—
723C4×C22⋊C4C2314yes—
724#376C2314yes—
725C43C2311yescharacteristic
726C25C2412yes—
727C25C2412yes—
728C25C2412yes—
729C25C2411yescharacteristic
730C2×#41—28no—
731C2×#41—44no—
732C2×#41—44no—
733C2×#41—44no—
734C2×#41—44no—
735C2×#41—44no—
736C22×Q8C2412yes—
737C22×D4—24no—
738C22×D4—24no—
739C22×D4—28no—
740C22×D4—42no—
741C22×D4—44no—
742C22×D4—44no—
743C22×D4—44no—
744C22×D4—48no—
745C22×D4—44no—
746C22×D4—44no—
747C22×D4—44no—
748C22×D4—44no—
749C22×D4—44no—
750C22×D4—44no—
751C22×D4—82no—
752C22×D4—82no—
753C22×D4—82no—
754C22×D4C2411yescharacteristic
755C22×D4C2411yescharacteristic
756C22×D4C2412yes—
757C22×D4C2414yes—
758C22×D4C2411yescharacteristic
759C22×D4C2412yes—
760C22×D4C2414yes—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2412yes—
767C22×D4C2411yescharacteristic
768C22×D4C2412yes—
769C22×D4C2414yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2414yes—
773C22×D4C2412yes—
774C22×D4C2414yes—
775C22×D4C2412yes—
776C22×D4C2414yes—
777C22×D4C2412yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C22×D4C2414yes—
781C22×D4C2412yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2412yes—
788C22×D4C2411yescharacteristic
789C23×C4—42no—
790C23×C4—44no—
791C23×C4C2412yes—
792C23×C4C2411yescharacteristic
793C23×C4C2412yes—
794C23×C4C2411yescharacteristic
795C23×C4C2412yes—
796C23×C4C2411yescharacteristic
797C23×C4C2414yes—
798C23×C4C2414yes—
799C23×C4C2412yes—
800C23×C4C2414yes—
801C23×C4C2411yescharacteristic
802C23×C4C2411yescharacteristic
803C23×C4C2414yes—
804C23×C4C2414yes—
805C23×C4C2414yes—
806C23×C4C2414yes—
807C23×C4C2412yes—
808C4⋊Q8—42no—
809#127—28no—
810#127—24no—
811#127—44no—
812#127—48no—
813#127—44no—
814#127—42no—
815#127—48no—
816#127—48no—
817#127—82no—
818#127—84no—
819#126—48no—
820#126—48no—
821#126—44no—
822#125—28no—
823#124—44no—
824#124—44no—
825#124—44no—
826#123—24no—
827#123—28no—
828#123—48no—
829#123—48no—
830#123—48no—
831#123—48no—
832#123—48no—
833#123—48no—
834#123—48no—
835#123—48no—
836#123—48no—
837#123—48no—
838#123—44no—
839#123—44no—
840#123—48no—
841#123—82no—
842C22⋊Q8—28no—
843C22⋊Q8—28no—
844C22⋊Q8—44no—
845C22⋊Q8—44no—
846#121—28no—
847#121—28no—
848#121—28no—
849#121—28no—
850#121—44no—
851#121—48no—
852#121—48no—
853#121—48no—
854#121—48no—
855#121—48no—
856#121—48no—
857#121—48no—
858#121—48no—
859#121—48no—
860#121—48no—
861#121—48no—
862#121—44no—
863#121—44no—
864#121—48no—
865#121—44no—
866#121—42no—
867#121—42no—
868#121—48no—
869#121—48no—
870#121—48no—
871#121—44no—
872#121—44no—
873#121—44no—
874#121—44no—
875#121—48no—
876#121—48no—
877#121—84no—
878#121—84no—
879#120—24no—
880#120—28no—
881#120—48no—
882#120—44no—
883#120—48no—
884#120—48no—
885#120—48no—
886#120—48no—
887#120—44no—
888#120—44no—
889#120—48no—
890#120—48no—
891#120—44no—
892#120—44no—
893#120—48no—
894#120—82no—
895C4×Q8—44no—
896C4×D4—24no—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—48no—
900C4×D4—48no—
901C4×D4—48no—
902C4×D4—48no—
903C4×D4—44no—
904C4×D4—48no—
905C4×D4—44no—
906C4×D4—42no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—42no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—48no—
914#117—28no—
915#117—44no—
916#117—84no—
917C2×C4⋊C4—42no—
918C2×C4⋊C4—44no—
919C2×C4⋊C4—44no—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C22⋊C4—48no—
960C2×C22⋊C4—48no—
961C2×C22⋊C4—48no—
962C2×C22⋊C4—44no—
963C2×C22⋊C4—44no—
964C2×C22⋊C4—44no—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2411yescharacteristic
967C2×C22⋊C4C2411yescharacteristic
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C42—42no—
1043C2×C42—82no—
1044C2×C42C2412yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059#95C2412yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100C24—24no—
1101C24—24no—
1102C24—24no—
1103C24—22no—
1104C24—24no—
1105C24—24no—
1106C24—41no—
1107C24—41no—
1108C24—42no—
1109C24—42no—
1110C24—42no—
1111C24—42no—
1112C24—42no—
1113C24—44no—
1114C24—44no—
1115C24—44no—
1116C24—44no—
1117C24—44no—
1118C24—44no—
1119C24—42no—
1120C24C2512yes—
1121C24C2512yes—
1122C24C2512yes—
1123C24C2514yes—
1124C24C2512yes—
1125C24C2511yescharacteristic
1126C24C2511yescharacteristic
1127C24C2512yes—
1128#41—816no—
1129#41—816no—
1130C2×Q8—24no—
1131C2×Q8—24no—
1132C2×Q8—24no—
1133C2×D4—28no—
1134C2×D4—24no—
1135C2×D4—28no—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—24no—
1140C2×D4—24no—
1141C2×D4—28no—
1142C2×D4—24no—
1143C2×D4—28no—
1144C2×D4—28no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—22no—
1151C2×D4—24no—
1152C2×D4—22no—
1153C2×D4—28no—
1154C2×D4—28no—
1155C2×D4—28no—
1156C2×D4—22no—
1157C2×D4—24no—
1158C2×D4—28no—
1159C2×D4—24no—
1160C2×D4—28no—
1161C2×D4—41no—
1162C2×D4—44no—
1163C2×D4—41no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—44no—
1168C2×D4—41no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—44no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—44no—
1183C2×D4—42no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—42no—
1191C2×D4—44no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—42no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—42no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—41no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—42no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—88no—
1230C2×D4—88no—
1231C2×D4—816no—
1232C2×D4—88no—
1233C2×D4—816no—
1234C2×D4—816no—
1235C2×D4—816no—
1236C2×D4H(5,𝔽2)14yes—
1237C2×D4H(5,𝔽2)14yes—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—28no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—28no—
1255C22×C4—28no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—42no—
1259C22×C4—41no—
1260C22×C4—44no—
1261C22×C4—41no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—88no—
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2514yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2514yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2514yes—
1298C22×C4C2514yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2514yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—28no—
1314C4⋊C4—24no—
1315C4⋊C4—28no—
1316C4⋊C4—28no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—41no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—41no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4H(5,𝔽2)18yes—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—28no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—24no—
1363C22⋊C4—28no—
1364C22⋊C4—24no—
1365C22⋊C4—28no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—41no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—41no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C42—24no—
1424C42—28no—
1425C42—24no—
1426C42—24no—
1427C42—24no—
1428C42—22no—
1429C42—22no—
1430C42—28no—
1431C42—42no—
1432C42—41no—
1433C42—44no—
1434C42—42no—
1435C42—44no—
1436C42—44no—
1437C42—42no—
1438C23—22no—
1439C23—22no—
1440C23—24no—
1441C23—22no—
1442C23—21no—
1443C23—21no—
1444C23—22no—
1445C23—24no—
1446C23—22no—
1447C23—21no—
1448C23—21no—
1449C23—22no—
1450C23—22no—
1451C23—24no—
1452C23—24no—
1453C23—24no—
1454C23—24no—
1455C23—22no—
1456C23—24no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—24no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—24no—
1471C23—24no—
1472C23—24no—
1473C23—22no—
1474C23—24no—
1475C23—22no—
1476C23—24no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—48no—
1482C23—48no—
1483C23—44no—
1484C23—84no—
1485C23—84no—
1486C23—84no—
1487C23—84no—
1488C23—84no—
1489C23—88no—
1490C23—88no—
1491C23—88no—
1492C23—84no—
1493C23—82no—
1494C23—82no—
1495C23—84no—
1496C23—84no—
1497C23—84no—
1498C23—164no—
1499C23—164no—
1500C23—164no—
1501C23C2×H(5,𝔽2)12yes—
1502C23C2×H(5,𝔽2)12yes—
1503C23C2×H(5,𝔽2)14yes—
1504C23C2611yescharacteristic
1505Q8—48no—
1506D4—28no—
1507D4—44no—
1508D4—416no—
1509D4—44no—
1510D4—44no—
1511D4—48no—
1512D4—84no—
1513D4—82no—
1514D4—88no—
1515D4—88no—
1516D4—88no—
1517D4—88no—
1518D4—84no—
1519D4—88no—
1520D4—84no—
1521D4—84no—
1522D4—84no—
1523D4—84no—
1524D4—84no—
1525D4—84no—
1526D4—84no—
1527D4—88no—
1528D4—88no—
1529D4—88no—
1530D4—84no—
1531D4—84no—
1532D4—88no—
1533D4—88no—
1534D4—88no—
1535D4—164no—
1536D4—164no—
1537D4—164no—
1538D4—162no—
1539D4—164no—
1540D4—164no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—24no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—44no—
1596C2×C4—48no—
1597C2×C4—44no—
1598C2×C4—44no—
1599C2×C4—48no—
1600C2×C4—44no—
1601C2×C4—48no—
1602C2×C4—88no—
1603C2×C4—88no—
1604C2×C4—84no—
1605C2×C4—88no—
1606C2×C4—82no—
1607C2×C4—84no—
1608C2×C4—88no—
1609C2×C4—164no—
1610C2×C4—164no—
1611C2×C4—164no—
1612C2×C4C2×H(5,𝔽2)18yes—
1613C2×C4C2×H(5,𝔽2)12yes—
1614C2×C4C2×H(5,𝔽2)12yes—
1615C2×C4C2×H(5,𝔽2)14yes—
1616C2×C4#58514yes—
1617C22—24no—
1618C22—24no—
1619C22—24no—
1620C22—24no—
1621C22—22no—
1622C22—24no—
1623C22—22no—
1624C22—41no—
1625C22—41no—
1626C22—44no—
1627C22—41no—
1628C22—41no—
1629C22—44no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—44no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—44no—
1639C22—44no—
1640C22—42no—
1641C22—42no—
1642C22—44no—
1643C22—42no—
1644C22—44no—
1645C22—44no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—44no—
1654C22—42no—
1655C22—44no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—44no—
1660C22—42no—
1661C22—44no—
1662C22—44no—
1663C22—88no—
1664C22—168no—
1665C22—168no—
1666C22—168no—
1667C22C22×H(5,𝔽2)12yes—
1668C22C22×H(5,𝔽2)11yescharacteristic
1669C22C22×H(5,𝔽2)11yescharacteristic
1670C22C2×#58512yes—
1671C22H(7,𝔽2)11yescharacteristic
1672C4—24no—
1673C4—22no—
1674C4—28no—
1675C4—42no—
1676C4—42no—
1677C4—41no—
1678C4—41no—
1679C4—44no—
1680C4—42no—
1681C4—44no—
1682C4—42no—
1683C4—44no—
1684C4—42no—
1685C4—41no—
1686C4—42no—
1687C4—42no—
1688C4—44no—
1689C4—42no—
1690C4—42no—
1691C4—42no—
1692C4#354314yes—
1693C2—42no—
1694C2—44no—
1695C2—42no—
1696C2—82no—
1697C2—82no—
1698C2—84no—
1699C2—82no—
1700C2—82no—
1701C2C2×#354311yescharacteristic
1702C2#6289211yescharacteristic
1703C2#6292012yes—
1704C2#6301412yes—
1705C2#6301711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59940C2semidirect
2. #59631C2semidirect
3. #59124C2semidirect
4. #59003C2semidirect
5. #59000C2semidirect
6. #55265C2semidirect
7. #55105C2semidirect
8. #53434C2semidirect
9. #52293C2semidirect
10. #50646C2semidirect
11. #49838C2semidirect
12. #49700C2semidirect
13. #47846C2semidirect
14. #46328C2semidirect
15. #46050C2semidirect
16. #45036C2semidirect
17. #45010C2semidirect
18. #45002C2semidirect
19. #42927C2semidirect
20. #42565C2semidirect
21. #42438C2semidirect
22. #39862C2semidirect
23. #39338C2semidirect
24. #39336C2semidirect
25. #39006C2semidirect
26. #37332C2semidirect
27. #37129C2semidirect
28. #36260C2semidirect
29. #36251C2semidirect
31. C2×#553C22semidirect
33. C2×#547C22semidirect
34. C2×#546C22semidirect
35. C2×#546C22semidirect
36. C2×#546C22semidirect
38. C2×#540C22semidirect
41. C22×#127C22semidirect
42. C2×#525C22semidirect
43. C22×#121C22semidirect
44. #2860C22semidirect
45. #2858C22semidirect
46. #2856C22semidirect
47. #2854C22semidirect
48. #2854C22semidirect
49. #2847C22semidirect
50. #2837C22semidirect
51. #2828C22semidirect
52. #2823C22semidirect
53. #2813C22semidirect
54. #2813C22semidirect
55. #2797C22semidirect
56. #2797C22semidirect
57. #2790C22semidirect
58. #2771C22semidirect
59. #2768C22semidirect
60. #2757C22semidirect
61. #2752C22semidirect
62. #2752C22semidirect
63. #2749C22semidirect
64. #2749C22semidirect
66. #2748C22semidirect
68. #2714C22semidirect
69. #2714C22semidirect
70. #2714C22semidirect
72. #2709C22semidirect
73. #2708C22semidirect
74. #2706C22semidirect
75. #2706C22semidirect
76. #2706C22semidirect
77. #2706C22semidirect
78. #2706C22semidirect
79. #2703C22semidirect
80. #2703C22semidirect
81. #2701C22semidirect
82. #2701C22semidirect
83. #2699C22semidirect
84. #2699C22semidirect
85. #2699C22semidirect
88. #2697C22semidirect
89. #2695C22semidirect
90. #2693C22semidirect
91. #2691C22semidirect
92. #2691C22semidirect
93. #2688C22semidirect
94. #2688C22semidirect
95. #2685C22semidirect
96. #2682C22semidirect
97. #2682C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2678C22semidirect
102. #2673C22semidirect
103. #2673C22semidirect
104. #2673C22semidirect
105. #2673C22semidirect
106. #2673C22semidirect
107. #2673C22semidirect
108. #2673C22semidirect
109. #2671C22semidirect
110. #2671C22semidirect
111. #2671C22semidirect
114. #2669C22semidirect
115. #2669C22semidirect
117. #2668C22semidirect
118. #2668C22semidirect
119. #2661C22semidirect
120. #2651C22semidirect
121. #2636C22semidirect
122. #2630C22semidirect
123. #2624C22semidirect
124. #2620C22semidirect
125. #2619C22semidirect
126. #2618C22semidirect
127. #2617C22semidirect
128. #2613C22semidirect
129. #2613C22semidirect
130. #2603C22semidirect
131. #2579C22semidirect
132. #2575C22semidirect
133. #2570C22semidirect
134. #2554C22semidirect
135. #2554C22semidirect
136. #2553C22semidirect
137. #2548C22semidirect
138. #2544C22semidirect
140. #2541C22semidirect
141. #2541C22semidirect
142. #2541C22semidirect
143. #2541C22semidirect
144. #2541C22semidirect
145. #2541C22semidirect
146. #2540C22semidirect
147. #2540C22semidirect
148. #2539C22semidirect
149. #2539C22semidirect
151. #2535C22semidirect
152. #2535C22semidirect
153. #2531C22semidirect
154. #2531C22semidirect
155. #2518C22semidirect
156. #2517C22semidirect
157. #2507C22semidirect
158. #2501C22semidirect
159. #2501C22semidirect
160. #2490C22semidirect
161. #2489C22semidirect
162. #2489C22semidirect
164. #2486C22semidirect
165. #2480C22semidirect
166. #2476C22semidirect
167. #2471C22semidirect
168. #2467C22semidirect
169. #2464C22semidirect
170. #2456C22semidirect
171. #2456C22semidirect
172. #2455C22semidirect
173. #2454C22semidirect
174. #2447C22semidirect
175. #2447C22semidirect
176. #2446C22semidirect
177. #2445C22semidirect
178. #2445C22semidirect
181. #2433C22semidirect
182. #2433C22semidirect
183. #2433C22semidirect
184. #2432C22semidirect
185. #2431C22semidirect
186. #2431C22semidirect
187. #2431C22semidirect
190. #2428C22semidirect
191. #2428C22semidirect
192. #2428C22semidirect
193. #2428C22semidirect
194. #2427C22semidirect
195. #2427C22semidirect
196. #2426C22semidirect
197. #2424C22semidirect
198. #2424C22semidirect
199. #2423C22semidirect
200. #2422C22semidirect
201. #2422C22semidirect
202. #2420C22semidirect
203. #2418C22semidirect
204. #2418C22semidirect
205. #2418C22semidirect
206. #2417C22semidirect
207. #2416C22semidirect
208. #2416C22semidirect
209. #2416C22semidirect
210. #2415C22semidirect
211. #2414C22semidirect
212. #2412C22semidirect
213. #2412C22semidirect
214. #2412C22semidirect
215. #2411C22semidirect
216. #2410C22semidirect
217. #2410C22semidirect
218. #2410C22semidirect
219. #2410C22semidirect
222. #2408C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
227. #2395C22semidirect
228. #2392C22semidirect
229. #2392C22semidirect
230. #2377C22semidirect
232. #2370C22semidirect
233. #2366C22semidirect
234. #2363C22semidirect
235. #2363C22semidirect
236. #2361C22semidirect
237. #2360C22semidirect
239. #2358C22semidirect
240. #2354C22semidirect
241. #2346C22semidirect
242. D4×C22⋊C4C22semidirect
243. D4×C22⋊C4C22semidirect
244. D4×C22⋊C4C22semidirect
245. #2328C22semidirect
246. #2324C22semidirect
247. #2319C22semidirect
248. #2311C22semidirect
250. C4×#126C22semidirect
251. C4×C22⋊Q8C22semidirect
253. C4×#121C22semidirect
255. C4×#120C22semidirect
257. #2290C22semidirect
258. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#599402
#596312
#591242
#590032
#590002
#552652
#551052
#534342
#522932
#506462
#498382
#497002
#478462
#463282
#460502
#450362
#450102
#450022
#429272
#425652
#424382
#398622
#393382
#393362
#390062
#373322
#371292
#362602
#362512