Finite Group Databasebeta

← #8157170

Subgroups — #8157170

Order 512.

5946 conjugacy classes of subgroups.

The subgroup lattice has 1763 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59856C212yesmaximal, complemented
2#59124C212yesmaximal, complemented
3#58010C214yesmaximal, complemented
4#54940C214yesmaximal, complemented
5#54272C214yesmaximal, complemented
6#53521C214yesmaximal, complemented
7#53066C212yesmaximal, complemented
8#52957C212yesmaximal, complemented
9#52394C214yesmaximal, complemented
10#45046C212yesmaximal, complemented
11#44884C212yesmaximal, complemented
12#42909C212yesmaximal, complemented
13#42565C212yesmaximal, complemented
14#42547C212yesmaximal, complemented
15#42421C212yesmaximal, complemented
16#40540C214yesmaximal, complemented
17#39486C211yesmaximal, characteristic, complemented
18#39375C211yesmaximal, characteristic, complemented
19#37872C212yesmaximal, complemented
20#37769C212yesmaximal, complemented
21#37648C212yesmaximal, complemented
22#37648C212yesmaximal, complemented
23#37439C212yesmaximal, complemented
24#36706C212yesmaximal, complemented
25#36153C211yesmaximal, characteristic, complemented
26#36100C211yesmaximal, characteristic, complemented
27#35014C211yesmaximal, characteristic, complemented
28C2×#2428C211yesmaximal, characteristic, complemented
29#34575C211yesmaximal, characteristic, complemented
30C2×#550C2212yescomplemented
31C2×#547C2211yescharacteristic, complemented
32C2×#547C2211yescharacteristic, complemented
33C2×#546C2212yes—
34C2×#546C2212yes—
35C2×#538C2212yes—
36C2×#537C2212yescomplemented
37C2×#537C2212yescomplemented
38C22×#127C2211yescharacteristic
39C2×#525C2212yes—
40C2×#525C2212yes—
41C22×#121C2211yescharacteristic
42C22×#121C2211yescharacteristic
43C22×#121C2212yes—
44C22×C4×D4C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2848C2212yes—
48#2848C2212yes—
49#2847C2212yes—
50#2837C2214yescomplemented
51#2829C2214yescomplemented
52#2828C2214yescomplemented
53#2828C2214yescomplemented
54#2827C2214yescomplemented
55#2826C2214yescomplemented
56#2824C2214yescomplemented
57#2816C2214yescomplemented
58#2813C2214yescomplemented
59#2813C2214yescomplemented
60#2813C2214yescomplemented
61#2813C2214yescomplemented
62#2802C2214yescomplemented
63#2797C2214yescomplemented
64#2797C2214yescomplemented
65#2784C2214yescomplemented
66#2780C2214yescomplemented
67#2780C2214yescomplemented
68#2779C2214yescomplemented
69#2752C2214yescomplemented
70#2752C2214yescomplemented
71#2748C2214yescomplemented
72#2743C2214yescomplemented
73#2730C2214yescomplemented
74#2727C2212yescomplemented
75#2724C2212yescomplemented
76#2710C2214yescomplemented
77#2708C2214yescomplemented
78#2705C2214yescomplemented
79#2701C2214yescomplemented
80#2701C2214yescomplemented
81#2696C2214yescomplemented
82#2692C2214yescomplemented
83#2691C2214yescomplemented
84#2691C2214yescomplemented
85#2682C2214yescomplemented
86#2682C2214yescomplemented
87#2682C2212yescomplemented
88#2682C2212yescomplemented
89#2681C2214yescomplemented
90#2681C2214yescomplemented
91#2681C2214yescomplemented
92#2676C2214yescomplemented
93#2676C2214yescomplemented
94#2675C2214yescomplemented
95#2675C2214yescomplemented
96#2675C2214yescomplemented
97#2675C2214yescomplemented
98#2673C2214yescomplemented
99#2673C2214yescomplemented
100#2673C2214yescomplemented
101#2673C2214yescomplemented
102#2673C2214yescomplemented
103#2673C2214yescomplemented
104#2673C2214yescomplemented
105#2673C2214yescomplemented
106#2671C2214yescomplemented
107#2671C2214yescomplemented
108#2671C2214yescomplemented
109#2671C2214yescomplemented
110#2671C2214yescomplemented
111#2671C2214yescomplemented
112#2663C2212yescomplemented
113#2663C2212yescomplemented
114#2661C2212yescomplemented
115#2661C2212yescomplemented
116#2661C2214yescomplemented
117#2661C2214yescomplemented
118#2659C2211yescharacteristic
119#2656C2211yescharacteristic
120#2656C2214yescomplemented
121#2646C2212yes—
122#2639C2212yes—
123#2639C2214yescomplemented
124#2635C2214yescomplemented
125#2635C2214yescomplemented
126#2626C2212yes—
127#2626C2212yes—
128#2624C2214yescomplemented
129#2620C2212yescomplemented
130#2620C2212yescomplemented
131#2617C2211yescharacteristic
132#2617C2212yes—
133#2617C2211yescharacteristic
134#2617C2212yes—
135#2615C2212yescomplemented
136#2615C2212yescomplemented
137#2615C2214yescomplemented
138#2589C2214yescomplemented
139#2587C2214yescomplemented
140#2587C2214yescomplemented
141#2579C2214yes—
142#2579C2214yescomplemented
143#2569C2214yes—
144#2564C2214yescomplemented
145#2548C2212yescomplemented
146#2547C2211yescharacteristic, complemented
147#2542C2211yescharacteristic, complemented
148#2541C2214yescomplemented
149#2541C2212yescomplemented
150#2540C2212yescomplemented
151#2540C2212yescomplemented
152#2537C2211yescharacteristic, complemented
153#2537C2212yescomplemented
154#2537C2212yescomplemented
155#2537C2211yescharacteristic, complemented
156#2522C2214yescomplemented
157#2512C2212yescomplemented
158#2511C2212yescomplemented
159#2507C2212yescomplemented
160#2501C2212yescomplemented
161#2497C2212yescomplemented
162#2497C2212yescomplemented
163#2492C2212yescomplemented
164#2491C2212yescomplemented
165#2487C2214yes—
166#2487C2212yescomplemented
167#2486C2212yescomplemented
168#2471C2214yescomplemented
169#2467C2214yescomplemented
170#2464C2214yescomplemented
171#2464C2214yescomplemented
172#2455C2214yescomplemented
173#2450C2214yescomplemented
174#2449C2214yescomplemented
175#2447C2212yescomplemented
176#2445C2214yescomplemented
177#2437C2214yes—
178#2437C2214yes—
179#2433C2214yes—
180#2432C2212yescomplemented
181#2431C2212yescomplemented
182#2431C2212yescomplemented
183#2431C2214yescomplemented
184#2429C2212yescomplemented
185#2428C2214yes—
186#2428C2214yes—
187#2428C2212yes—
188#2428C2212yes—
189#2428C2212yes—
190#2428C2212yes—
191#2428C2214yescomplemented
192#2428C2212yescomplemented
193#2428C2212yescomplemented
194#2427C2212yescomplemented
195#2425C2214yescomplemented
196#2424C2214yes—
197#2424C2214yes—
198#2423C2212yescomplemented
199#2423C2212yescomplemented
200#2422C2212yescomplemented
201#2422C2212yescomplemented
202#2418C2214yes—
203#2418C2214yes—
204#2417C2212yes—
205#2417C2212yes—
206#2417C2212yescomplemented
207#2416C2212yescomplemented
208#2416C2212yescomplemented
209#2416C2212yescomplemented
210#2416C2214yescomplemented
211#2416C2214yescomplemented
212#2416C2212yescomplemented
213#2415C2212yescomplemented
214#2412C2214yes—
215#2412C2214yes—
216#2410C2214yes—
217#2410C2214yes—
218#2410C2214yes—
219#2410C2214yes—
220#2408C2212yes—
221#2408C2214yes—
222#2408C2214yes—
223#2408C2212yes—
224#2407C2212yescomplemented
225#2407C2212yescomplemented
226#2407C2212yescomplemented
227#2407C2212yescomplemented
228#2395C2212yescomplemented
229#2395C2212yescomplemented
230#2388C2212yescomplemented
231#2388C2212yescomplemented
232C2×#394C2212yes—
233C2×#392C2212yes—
234#2366C2212yescomplemented
235#2364C2214yes—
236#2361C2212yescomplemented
237#2360C2212yescomplemented
238#2354C2211yescharacteristic, complemented
239D4×C4⋊C4C2212yes—
240D4×C4⋊C4C2212yes—
241D4×C4⋊C4C2211yescharacteristic, complemented
242#2345C2212yescomplemented
243#2339C2212yescomplemented
244D4×C22⋊C4C2214yes—
245#2329C2212yes—
246#2324C2212yescomplemented
247#2324C2212yescomplemented
248#2315C2212yes—
249#2312C2212yes—
250C4×C22⋊Q8C2212yes—
251C4×#121C2211yescharacteristic
252C4×#121C2211yescharacteristic
253C4×#121C2212yes—
254C2×#390C2211yescharacteristic
255C2×#389C2211yescharacteristic
256C2×#386C2212yes—
257C2×#380C2212yes—
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41C2312yes—
260C22×#41C2312yes—
261C22×#41C2312yes—
262C22×#41C2312yes—
263C23×D4C2311yescharacteristic
264C23×D4C2311yescharacteristic
265C23×D4C2312yes—
266C23×D4C2312yes—
267C23×D4C2312yes—
268C23×D4C2312yes—
269C24×C4C2311yescharacteristic
270C24×C4C2312yes—
271#550—48no—
272#547—44no—
273#547—44no—
274#546—48no—
275#546—48no—
276#538—48no—
277#537—48no—
278#537—48no—
279C2×C4⋊Q8C2311yescharacteristic
280C2×C4⋊Q8C2311yescharacteristic
281C2×#127—44no—
282C2×#127C2312yes—
283C2×#127C2314yes—
284C2×#127C2312yes—
285C2×#127C2314yes—
286C2×#127C2314yes—
287C2×#126C2314yes—
288C2×#124C2312yes—
289C2×#124C2312yes—
290C2×#124C2314yes—
291#525—48no—
292#525—48no—
293C2×#123C2312yes—
294C2×#123C2312yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2314yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2314yes—
315C2×C22⋊Q8C2312yes—
316C2×#121—48no—
317C2×#121—44no—
318C2×#121—44no—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2311yescharacteristic
322C2×#121C2312yes—
323C2×#121C2311yescharacteristic
324C2×#121C2312yes—
325C2×#121C2314yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#120C2314yes—
361C2×#120C2312yes—
362C2×#120C2312yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×C4×Q8C2312yes—
367C2×C4×D4—44no—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2314yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C22⋊C4C2311yescharacteristic
398C22×C22⋊C4C2312yes—
399C22×C22⋊C4C2311yescharacteristic
400C22×C22⋊C4C2314yes—
401C22×C22⋊C4C2314yes—
402C22×C22⋊C4C2312yes—
403C22×C22⋊C4C2312yes—
404C22×C22⋊C4C2312yes—
405C22×C22⋊C4C2312yes—
406C22×C42C2311yescharacteristic
407C22×C42C2311yescharacteristic
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2312yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2312yes—
425#399C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2314yes—
434#398C2312yes—
435#398C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2312yes—
447#397C2312yes—
448#397C2312yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#395C2312yes—
464#395C2312yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2312yes—
491#394C2312yes—
492#394C2312yes—
493#394C2312yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#393C2312yes—
508#393C2314yes—
509#393C2312yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2312yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2312yes—
531#392C2312yes—
532#392C2312yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2312yes—
540#392C2312yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#391C2314yes—
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#390C2314yes—
551#390C2314yes—
552#390C2314yes—
553#390C2312yes—
554#390C2314yes—
555#390C2312yes—
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2314yes—
561#390C2311yescharacteristic
562#390C2311yescharacteristic
563#390C2312yes—
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2312yes—
569#390C2312yes—
570#390C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2312yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2312yes—
636#386C2312yes—
637#386C2312yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2312yes—
673#384C2312yes—
674#381C2314yes—
675#381C2314yes—
676#380C2312yes—
677#380C2314yes—
678#380C2312yes—
679#380C2312yes—
680#380C2312yes—
681#380C2314yes—
682#380C2314yes—
683#380C2311yescharacteristic
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2314yes—
694#380C2312yes—
695#380C2312yes—
696#380C2314yes—
697#380C2314yes—
698#380C2311yescharacteristic
699#380C2314yes—
700#380C2312yes—
701#380C2312yes—
702#379C2314yes—
703#379C2314yes—
704#379C2314yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2314yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2311yescharacteristic
710C4×C4⋊C4C2311yescharacteristic
711C4×C4⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2312yes—
723C2×#95C2314yes—
724C2×#95C2312yes—
725C2×#95C2311yescharacteristic
726C2×#95C2311yescharacteristic
727C25C2412yes—
728C25C2412yes—
729C25C2411yescharacteristic
730C2×#41—28no—
731C2×#41—44no—
732C2×#41—44no—
733C2×#41—44no—
734C2×#41—44no—
735C2×#41—44no—
736C2×#41—44no—
737C2×#41—44no—
738C2×#41—44no—
739C2×#41—44no—
740C2×#41—44no—
741C2×#41—82no—
742C22×Q8C2412yes—
743C22×Q8C2412yes—
744C22×Q8C2412yes—
745C22×D4—24no—
746C22×D4—24no—
747C22×D4—24no—
748C22×D4—28no—
749C22×D4—42no—
750C22×D4—42no—
751C22×D4—44no—
752C22×D4—42no—
753C22×D4—44no—
754C22×D4—44no—
755C22×D4—44no—
756C22×D4—44no—
757C22×D4—44no—
758C22×D4—44no—
759C22×D4—82no—
760C22×D4—82no—
761C22×D4—82no—
762C22×D4—82no—
763C22×D4C2412yes—
764C22×D4C2412yes—
765C22×D4C2411yescharacteristic
766C22×D4C2412yes—
767C22×D4C2412yes—
768C22×D4C2414yes—
769C22×D4C2411yescharacteristic
770C22×D4C2414yes—
771C22×D4C2411yescharacteristic
772C22×D4C2411yescharacteristic
773C22×D4C2412yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2412yes—
779C22×D4C2414yes—
780C22×D4C2412yes—
781C22×D4C2412yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2412yes—
787C22×D4C2412yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2412yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C23×C4—28no—
795C23×C4—24no—
796C23×C4—44no—
797C23×C4—42no—
798C23×C4—42no—
799C23×C4—82no—
800C23×C4C2412yes—
801C23×C4C2412yes—
802C23×C4C2412yes—
803C23×C4C2412yes—
804C23×C4C2412yes—
805C23×C4C2412yes—
806C23×C4C2411yescharacteristic
807C23×C4C2411yescharacteristic
808C23×C4C2411yescharacteristic
809C23×C4C2412yes—
810C23×C4C2411yescharacteristic
811C23×C4C2414yes—
812C23×C4C2414yes—
813C23×C4C2412yes—
814C23×C4C2412yes—
815C23×C4C2412yes—
816C23×C4C2414yes—
817C23×C4C2414yes—
818C23×C4C2414yes—
819C23×C4C2414yes—
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C4⋊Q8—42no—
823C4⋊Q8—42no—
824#127—28no—
825#127—44no—
826#127—48no—
827#127—48no—
828#127—84no—
829#126—48no—
830#124—44no—
831#124—44no—
832#124—48no—
833#123—48no—
834#123—48no—
835#123—44no—
836#123—44no—
837#123—48no—
838#123—48no—
839#123—48no—
840#123—48no—
841#123—84no—
842#123—84no—
843C22⋊Q8—28no—
844C22⋊Q8—28no—
845C22⋊Q8—28no—
846C22⋊Q8—44no—
847C22⋊Q8—48no—
848C22⋊Q8—48no—
849C22⋊Q8—44no—
850C22⋊Q8—44no—
851C22⋊Q8—44no—
852C22⋊Q8—44no—
853C22⋊Q8—44no—
854C22⋊Q8—44no—
855C22⋊Q8—82no—
856#121—28no—
857#121—28no—
858#121—24no—
859#121—24no—
860#121—28no—
861#121—28no—
862#121—48no—
863#121—48no—
864#121—48no—
865#121—48no—
866#121—44no—
867#121—48no—
868#121—44no—
869#121—48no—
870#121—48no—
871#121—48no—
872#121—48no—
873#121—48no—
874#121—48no—
875#121—48no—
876#121—48no—
877#121—48no—
878#121—44no—
879#121—44no—
880#121—44no—
881#121—44no—
882#121—48no—
883#121—44no—
884#121—44no—
885#121—44no—
886#121—44no—
887#121—44no—
888#121—48no—
889#121—48no—
890#121—84no—
891#121—82no—
892#121—84no—
893#121—84no—
894#121—84no—
895#121—84no—
896#121—84no—
897#120—44no—
898#120—44no—
899#120—48no—
900#120—48no—
901#120—48no—
902#120—48no—
903C4×Q8—44no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—24no—
907C4×D4—24no—
908C4×D4—42no—
909C4×D4—42no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—42no—
915C4×D4—42no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—48no—
920C4×D4—48no—
921C4×D4—48no—
922C4×D4—48no—
923C4×D4—84no—
924#117—44no—
925#117—44no—
926C2×C4⋊C4—24no—
927C2×C4⋊C4—28no—
928C2×C4⋊C4—42no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4—44no—
931C2×C4⋊C4—44no—
932C2×C4⋊C4—82no—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C22⋊C4—24no—
982C2×C22⋊C4—28no—
983C2×C22⋊C4—24no—
984C2×C22⋊C4—44no—
985C2×C22⋊C4—44no—
986C2×C22⋊C4—44no—
987C2×C22⋊C4—48no—
988C2×C22⋊C4—48no—
989C2×C22⋊C4—82no—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C42—42no—
1061C2×C42—42no—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114C24—22no—
1115C24—24no—
1116C24—24no—
1117C24—24no—
1118C24—24no—
1119C24—24no—
1120C24—24no—
1121C24—22no—
1122C24—22no—
1123C24—24no—
1124C24—42no—
1125C24—41no—
1126C24—41no—
1127C24—42no—
1128C24—42no—
1129C24—41no—
1130C24—41no—
1131C24—42no—
1132C24—42no—
1133C24—42no—
1134C24—42no—
1135C24C2514yes—
1136C24C2512yes—
1137C24C2512yes—
1138C24C2512yes—
1139C24C2512yes—
1140C24C2512yes—
1141C24C2511yescharacteristic
1142#41—816no—
1143#41—816no—
1144#41—816no—
1145#41—816no—
1146C2×Q8—24no—
1147C2×Q8—24no—
1148C2×Q8—24no—
1149C2×Q8—24no—
1150C2×Q8—42no—
1151C2×Q8—42no—
1152C2×Q8—42no—
1153C2×Q8—42no—
1154C2×Q8—42no—
1155C2×D4—24no—
1156C2×D4—24no—
1157C2×D4—24no—
1158C2×D4—24no—
1159C2×D4—28no—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—24no—
1163C2×D4—28no—
1164C2×D4—28no—
1165C2×D4—28no—
1166C2×D4—28no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—24no—
1171C2×D4—24no—
1172C2×D4—22no—
1173C2×D4—24no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—24no—
1177C2×D4—22no—
1178C2×D4—28no—
1179C2×D4—24no—
1180C2×D4—28no—
1181C2×D4—24no—
1182C2×D4—28no—
1183C2×D4—416no—
1184C2×D4—42no—
1185C2×D4—41no—
1186C2×D4—44no—
1187C2×D4—41no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—44no—
1191C2×D4—41no—
1192C2×D4—42no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—44no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—41no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—44no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—42no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—88no—
1249C2×D4—816no—
1250C2×D4—816no—
1251C2×D4—816no—
1252C2×D4—816no—
1253C2×D4H(5,𝔽2)14yes—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—28no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—28no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—42no—
1284C22×C4—41no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—42no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—41no—
1296C22×C4—42no—
1297C22×C4—44no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—44no—
1305C22×C4—42no—
1306C22×C4—44no—
1307C22×C4—42no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—88no—
1318C22×C4—816no—
1319C22×C4H(5,𝔽2)14yes—
1320C22×C4H(5,𝔽2)14yes—
1321C22×C42−1+414yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2514yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2514yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2514yes—
1333C22×C4C2514yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2514yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—28no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—28no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—28no—
1357C4⋊C4—22no—
1358C4⋊C4—28no—
1359C4⋊C4—24no—
1360C4⋊C4—41no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—41no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—41no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—41no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4H(5,𝔽2)14yes—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—28no—
1395C22⋊C4—28no—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—28no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—28no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C42—22no—
1463C42—22no—
1464C42—24no—
1465C42—24no—
1466C42—24no—
1467C42—41no—
1468C42—41no—
1469C42—42no—
1470C42—44no—
1471C42—44no—
1472C42—44no—
1473C42—44no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—24no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—24no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—24no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—24no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—24no—
1508C23—22no—
1509C23—22no—
1510C23—24no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—24no—
1517C23—22no—
1518C23—22no—
1519C23—48no—
1520C23—48no—
1521C23—48no—
1522C23—44no—
1523C23—44no—
1524C23—48no—
1525C23—44no—
1526C23—48no—
1527C23—82no—
1528C23—84no—
1529C23—84no—
1530C23—82no—
1531C23—82no—
1532C23—84no—
1533C23—82no—
1534C23—84no—
1535C23—84no—
1536C23—84no—
1537C23—84no—
1538C23—84no—
1539C23—84no—
1540C23C2×H(5,𝔽2)14yes—
1541C23C2×H(5,𝔽2)12yes—
1542C23C2×H(5,𝔽2)12yes—
1543C23C2×2−1+412yes—
1544C23C2611yescharacteristic
1545Q8—48no—
1546Q8—84no—
1547Q8—84no—
1548D4—28no—
1549D4—48no—
1550D4—416no—
1551D4—44no—
1552D4—48no—
1553D4—48no—
1554D4—44no—
1555D4—48no—
1556D4—82no—
1557D4—84no—
1558D4—84no—
1559D4—88no—
1560D4—88no—
1561D4—88no—
1562D4—88no—
1563D4—88no—
1564D4—88no—
1565D4—84no—
1566D4—84no—
1567D4—88no—
1568D4—88no—
1569D4—88no—
1570D4—84no—
1571D4—84no—
1572D4—84no—
1573D4—88no—
1574D4—88no—
1575D4—164no—
1576D4—164no—
1577D4—164no—
1578D4—164no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—28no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—24no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—24no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—24no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—24no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—24no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—44no—
1639C2×C4—44no—
1640C2×C4—48no—
1641C2×C4—48no—
1642C2×C4—48no—
1643C2×C4—44no—
1644C2×C4—48no—
1645C2×C4—48no—
1646C2×C4—48no—
1647C2×C4—84no—
1648C2×C4—84no—
1649C2×C4—84no—
1650C2×C4—88no—
1651C2×C4—82no—
1652C2×C4—82no—
1653C2×C4—84no—
1654C2×C4—88no—
1655C2×C4—88no—
1656C2×C4—164no—
1657C2×C4—164no—
1658C2×C4—164no—
1659C2×C4C2×H(5,𝔽2)12yes—
1660C2×C4C2×H(5,𝔽2)12yes—
1661C2×C4C2×H(5,𝔽2)14yes—
1662C2×C4C2×H(5,𝔽2)12yes—
1663C2×C4C2×H(5,𝔽2)12yes—
1664C2×C4C2×H(5,𝔽2)12yes—
1665C2×C4C2×H(5,𝔽2)12yes—
1666C2×C4C2×2−1+414yes—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—24no—
1674C22—24no—
1675C22—24no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—44no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—44no—
1690C22—44no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—42no—
1697C22—42no—
1698C22—44no—
1699C22—42no—
1700C22—44no—
1701C22—42no—
1702C22—42no—
1703C22—42no—
1704C22—42no—
1705C22—42no—
1706C22—42no—
1707C22—42no—
1708C22—44no—
1709C22—42no—
1710C22—42no—
1711C22—42no—
1712C22—42no—
1713C22—42no—
1714C22—44no—
1715C22—816no—
1716C22—88no—
1717C22—168no—
1718C22#354814yes—
1719C22C22×H(5,𝔽2)11yescharacteristic
1720C22C22×H(5,𝔽2)11yescharacteristic
1721C22C22×H(5,𝔽2)11yescharacteristic
1722C22C22×H(5,𝔽2)11yescharacteristic
1723C22C22×2−1+411yescharacteristic
1724C22H(7,𝔽2)11yescharacteristic
1725C22H(7,𝔽2)11yescharacteristic
1726C4—22no—
1727C4—22no—
1728C4—22no—
1729C4—24no—
1730C4—24no—
1731C4—42no—
1732C4—42no—
1733C4—42no—
1734C4—44no—
1735C4—42no—
1736C4—42no—
1737C4—42no—
1738C4—42no—
1739C4—44no—
1740C4—42no—
1741C4—44no—
1742C4—42no—
1743C4—44no—
1744C4—44no—
1745C4—41no—
1746C4—41no—
1747C4#353714yes—
1748C2—24no—
1749C2—44no—
1750C2—82no—
1751C2—82no—
1752C2—82no—
1753C2—82no—
1754C2—84no—
1755C2C2×#353711yescharacteristic
1756C2C2×#354811yescharacteristic
1757C2#6288011yescharacteristic
1758C2#6289211yescharacteristic
1759C2#6289411yescharacteristic
1760C2#6291211yescharacteristic
1761C2#6291711yescharacteristic
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. #59856C2semidirect
2. #59124C2semidirect
3. #58010C2semidirect
4. #54940C2semidirect
5. #54272C2semidirect
6. #53521C2semidirect
7. #53066C2semidirect
8. #52957C2semidirect
9. #52394C2semidirect
10. #45046C2semidirect
11. #44884C2semidirect
12. #42909C2semidirect
13. #42565C2semidirect
14. #42547C2semidirect
15. #42421C2semidirect
16. #40540C2semidirect
17. #39486C2semidirect
18. #39375C2semidirect
19. #37872C2semidirect
20. #37769C2semidirect
21. #37648C2semidirect
22. #37648C2semidirect
23. #37439C2semidirect
24. #36706C2semidirect
25. #36153C2semidirect
26. #36100C2semidirect
27. #35014C2semidirect
28. C2×#2428C2semidirect
29. #34575C2semidirect
30. C2×#550C22semidirect
31. C2×#547C22semidirect
32. C2×#547C22semidirect
36. C2×#537C22semidirect
37. C2×#537C22semidirect
50. #2837C22semidirect
51. #2829C22semidirect
52. #2828C22semidirect
53. #2828C22semidirect
54. #2827C22semidirect
55. #2826C22semidirect
56. #2824C22semidirect
57. #2816C22semidirect
58. #2813C22semidirect
59. #2813C22semidirect
60. #2813C22semidirect
61. #2813C22semidirect
62. #2802C22semidirect
63. #2797C22semidirect
64. #2797C22semidirect
65. #2784C22semidirect
66. #2780C22semidirect
67. #2780C22semidirect
68. #2779C22semidirect
69. #2752C22semidirect
70. #2752C22semidirect
71. #2748C22semidirect
72. #2743C22semidirect
73. #2730C22semidirect
74. #2727C22semidirect
75. #2724C22semidirect
76. #2710C22semidirect
77. #2708C22semidirect
78. #2705C22semidirect
79. #2701C22semidirect
80. #2701C22semidirect
81. #2696C22semidirect
82. #2692C22semidirect
83. #2691C22semidirect
84. #2691C22semidirect
85. #2682C22semidirect
86. #2682C22semidirect
87. #2682C22semidirect
88. #2682C22semidirect
89. #2681C22semidirect
90. #2681C22semidirect
91. #2681C22semidirect
92. #2676C22semidirect
93. #2676C22semidirect
94. #2675C22semidirect
95. #2675C22semidirect
96. #2675C22semidirect
97. #2675C22semidirect
98. #2673C22semidirect
99. #2673C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
102. #2673C22semidirect
103. #2673C22semidirect
104. #2673C22semidirect
105. #2673C22semidirect
106. #2671C22semidirect
107. #2671C22semidirect
108. #2671C22semidirect
109. #2671C22semidirect
110. #2671C22semidirect
111. #2671C22semidirect
112. #2663C22semidirect
113. #2663C22semidirect
114. #2661C22semidirect
115. #2661C22semidirect
116. #2661C22semidirect
117. #2661C22semidirect
120. #2656C22semidirect
123. #2639C22semidirect
124. #2635C22semidirect
125. #2635C22semidirect
128. #2624C22semidirect
129. #2620C22semidirect
130. #2620C22semidirect
135. #2615C22semidirect
136. #2615C22semidirect
137. #2615C22semidirect
138. #2589C22semidirect
139. #2587C22semidirect
140. #2587C22semidirect
142. #2579C22semidirect
144. #2564C22semidirect
145. #2548C22semidirect
146. #2547C22semidirect
147. #2542C22semidirect
148. #2541C22semidirect
149. #2541C22semidirect
150. #2540C22semidirect
151. #2540C22semidirect
152. #2537C22semidirect
153. #2537C22semidirect
154. #2537C22semidirect
155. #2537C22semidirect
156. #2522C22semidirect
157. #2512C22semidirect
158. #2511C22semidirect
159. #2507C22semidirect
160. #2501C22semidirect
161. #2497C22semidirect
162. #2497C22semidirect
163. #2492C22semidirect
164. #2491C22semidirect
166. #2487C22semidirect
167. #2486C22semidirect
168. #2471C22semidirect
169. #2467C22semidirect
170. #2464C22semidirect
171. #2464C22semidirect
172. #2455C22semidirect
173. #2450C22semidirect
174. #2449C22semidirect
175. #2447C22semidirect
176. #2445C22semidirect
180. #2432C22semidirect
181. #2431C22semidirect
182. #2431C22semidirect
183. #2431C22semidirect
184. #2429C22semidirect
191. #2428C22semidirect
192. #2428C22semidirect
193. #2428C22semidirect
194. #2427C22semidirect
195. #2425C22semidirect
198. #2423C22semidirect
199. #2423C22semidirect
200. #2422C22semidirect
201. #2422C22semidirect
206. #2417C22semidirect
207. #2416C22semidirect
208. #2416C22semidirect
209. #2416C22semidirect
210. #2416C22semidirect
211. #2416C22semidirect
212. #2416C22semidirect
213. #2415C22semidirect
224. #2407C22semidirect
225. #2407C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
228. #2395C22semidirect
229. #2395C22semidirect
230. #2388C22semidirect
231. #2388C22semidirect
234. #2366C22semidirect
236. #2361C22semidirect
237. #2360C22semidirect
238. #2354C22semidirect
241. D4×C4⋊C4C22semidirect
242. #2345C22semidirect
243. #2339C22semidirect
246. #2324C22semidirect
247. #2324C22semidirect

Maximal subgroups

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

subgroupindex
#598562
#591242
#580102
#549402
#542722
#535212
#530662
#529572
#523942
#450462
#448842
#429092
#425652
#425472
#424212
#405402
#394862
#393752
#378722
#377692
#376482
#374392
#367062
#361532
#361002
#350142
C2×#24282
#345752