Finite Group Databasebeta

← #8399466

Subgroups — #8399466

Order 512.

5516 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59403C212yesmaximal, complemented
2#58999C212yesmaximal, complemented
3#58319C212yesmaximal, complemented
4#58260C212yesmaximal, complemented
5#55149C214yesmaximal, complemented
6#52048C214yesmaximal, complemented
7#49641C214yesmaximal, complemented
8#48487C214yesmaximal, complemented
9#48443C214yesmaximal, complemented
10#45628C212yesmaximal, complemented
11#45508C212yesmaximal, complemented
12#45396C212yesmaximal, complemented
13#45380C212yesmaximal, complemented
14#44892C212yesmaximal, complemented
15#44813C212yesmaximal, complemented
16#43155C214yesmaximal, complemented
17#42975C211yesmaximal, characteristic, complemented
18#42673C211yesmaximal, characteristic, complemented
19#40145C212yesmaximal, complemented
20#39863C212yesmaximal, complemented
21#39861C212yesmaximal, complemented
22#39531C212yesmaximal, complemented
23#37381C211yesmaximal, characteristic, complemented
24#36100C212yesmaximal, complemented
25#36096C212yesmaximal, complemented
26#36020C211yesmaximal, characteristic, complemented
27#36019C211yesmaximal, characteristic, complemented
28#35563C211yesmaximal, characteristic, complemented
29#34956C211yesmaximal, characteristic, complemented
30C2×#556C2211yescharacteristic, complemented
31C2×#550C2212yescomplemented
32C2×#547C2212yescomplemented
33C2×#547C2211yescharacteristic, complemented
34C2×#546C2212yescomplemented
35C2×#535C2211yescharacteristic, complemented
36C2×#525C2211yescharacteristic
37C2×#525C2212yescomplemented
38C2×#525C2212yescomplemented
39C22×#121C2211yescharacteristic
40C2×#520C2211yescharacteristic, complemented
41C22×C4×D4C2212yes—
42#2857C2212yescomplemented
43#2850C2212yescomplemented
44#2848C2212yes—
45#2848C2212yescomplemented
46#2847C2212yescomplemented
47#2837C2214yescomplemented
48#2828C2212yescomplemented
49#2812C2212yes—
50#2812C2214yescomplemented
51#2801C2214yescomplemented
52#2801C2214yescomplemented
53#2800C2214yescomplemented
54#2797C2214yescomplemented
55#2796C2214yescomplemented
56#2790C2214yescomplemented
57#2788C2214yescomplemented
58#2786C2214yescomplemented
59#2783C2214yescomplemented
60#2781C2214yescomplemented
61#2780C2214yescomplemented
62#2778C2214yescomplemented
63#2778C2214yescomplemented
64#2777C2214yescomplemented
65#2771C2212yescomplemented
66#2770C2214yescomplemented
67#2764C2212yescomplemented
68#2760C2214yescomplemented
69#2757C2214yescomplemented
70#2756C2214yes—
71#2756C2214yescomplemented
72#2756C2214yescomplemented
73#2756C2214yescomplemented
74#2751C2214yescomplemented
75#2749C2214yescomplemented
76#2746C2214yescomplemented
77#2746C2214yescomplemented
78#2741C2214yescomplemented
79#2736C2212yes—
80#2736C2212yescomplemented
81#2735C2212yes—
82#2724C2212yescomplemented
83#2718C2214yescomplemented
84#2710C2214yescomplemented
85#2709C2214yescomplemented
86#2708C2214yescomplemented
87#2705C2214yescomplemented
88#2703C2214yescomplemented
89#2701C2214yescomplemented
90#2699C2212yescomplemented
91#2685C2214yescomplemented
92#2685C2214yescomplemented
93#2682C2214yescomplemented
94#2678C2214yescomplemented
95#2678C2214yescomplemented
96#2673C2214yescomplemented
97#2670C2212yes—
98#2670C2214yescomplemented
99#2669C2214yes—
100#2669C2214yescomplemented
101#2669C2214yescomplemented
102#2668C2214yescomplemented
103#2662C2214yescomplemented
104#2636C2214yescomplemented
105#2635C2214yescomplemented
106#2631C2212yes—
107#2631C2214yescomplemented
108#2630C2214yescomplemented
109#2628C2211yescharacteristic, complemented
110#2622C2214yescomplemented
111#2621C2211yescharacteristic, complemented
112#2618C2212yescomplemented
113#2610C2212yescomplemented
114#2606C2214yescomplemented
115#2603C2214yescomplemented
116#2603C2214yescomplemented
117#2600C2211yescharacteristic
118#2600C2212yes—
119#2600C2211yescharacteristic
120#2600C2214yescomplemented
121#2599C2212yescomplemented
122#2594C2214yescomplemented
123#2593C2212yescomplemented
124#2580C2214yescomplemented
125#2579C2212yescomplemented
126#2579C2212yescomplemented
127#2563C2211yescharacteristic, complemented
128#2559C2214yescomplemented
129#2546C2211yescharacteristic, complemented
130#2545C2212yescomplemented
131#2543C2212yes—
132#2543C2214yescomplemented
133#2543C2214yescomplemented
134#2542C2212yescomplemented
135#2540C2212yes—
136#2540C2212yescomplemented
137#2537C2212yescomplemented
138#2536C2211yescharacteristic, complemented
139#2535C2212yes—
140#2535C2211yescharacteristic, complemented
141#2534C2212yescomplemented
142#2534C2212yescomplemented
143#2534C2212yescomplemented
144#2534C2212yescomplemented
145#2531C2214yescomplemented
146#2526C2214yescomplemented
147#2522C2214yescomplemented
148#2514C2212yescomplemented
149#2512C2212yescomplemented
150#2510C2214yescomplemented
151#2507C2212yescomplemented
152#2500C2212yescomplemented
153#2495C2212yescomplemented
154#2494C2214yescomplemented
155#2494C2212yescomplemented
156#2492C2212yescomplemented
157#2491C2212yescomplemented
158#2486C2212yescomplemented
159#2485C2212yescomplemented
160#2483C2211yescharacteristic
161#2483C2212yescomplemented
162#2481C2214yescomplemented
163#2467C2214yescomplemented
164#2464C2214yes—
165#2464C2214yescomplemented
166#2459C2214yescomplemented
167#2456C2214yes—
168#2456C2214yescomplemented
169#2456C2214yescomplemented
170#2455C2214yescomplemented
171#2455C2214yescomplemented
172#2455C2214yescomplemented
173#2447C2212yescomplemented
174#2445C2214yescomplemented
175#2443C2214yescomplemented
176#2443C2214yescomplemented
177#2443C2214yescomplemented
178#2432C2212yescomplemented
179#2432C2212yescomplemented
180#2431C2212yescomplemented
181#2429C2212yescomplemented
182#2429C2212yescomplemented
183#2428C2212yescomplemented
184#2428C2212yescomplemented
185#2428C2212yescomplemented
186#2427C2212yescomplemented
187#2426C2212yescomplemented
188#2426C2212yescomplemented
189#2425C2214yescomplemented
190#2424C2214yescomplemented
191#2424C2214yescomplemented
192#2423C2212yescomplemented
193#2422C2214yescomplemented
194#2421C2212yescomplemented
195#2421C2212yescomplemented
196#2420C2214yescomplemented
197#2420C2212yescomplemented
198#2418C2214yes—
199#2418C2214yescomplemented
200#2418C2214yescomplemented
201#2418C2214yescomplemented
202#2417C2212yescomplemented
203#2416C2214yescomplemented
204#2416C2214yescomplemented
205#2415C2212yescomplemented
206#2415C2212yescomplemented
207#2415C2212yescomplemented
208#2414C2212yes—
209#2414C2214yescomplemented
210#2414C2212yescomplemented
211#2413C2214yescomplemented
212#2408C2214yes—
213#2408C2212yes—
214#2408C2212yes—
215#2408C2212yescomplemented
216#2407C2212yes—
217#2407C2212yescomplemented
218#2407C2212yescomplemented
219#2407C2212yescomplemented
220#2405C2212yes—
221#2403C2214yes—
222#2403C2211yescharacteristic
223#2398C2212yescomplemented
224#2392C2212yes—
225#2392C2211yescharacteristic
226#2392C2211yescharacteristic
227C2×#398C2212yescomplemented
228#2383C2214yescomplemented
229#2375C2214yescomplemented
230#2366C2212yescomplemented
231#2363C2212yescomplemented
232#2362C2212yescomplemented
233#2361C2214yescomplemented
234#2361C2214yescomplemented
235#2358C2214yescomplemented
236#2356C2211yescharacteristic, complemented
237#2354C2212yescomplemented
238#2353C2214yescomplemented
239#2352C2212yescomplemented
240#2349C2211yescharacteristic, complemented
241D4×C4⋊C4C2214yescomplemented
242#2346C2212yescomplemented
243#2339C2212yescomplemented
244D4×C22⋊C4C2214yes—
245#2326C2214yescomplemented
246#2325C2214yescomplemented
247#2325C2214yescomplemented
248#2323C2212yescomplemented
249#2319C2214yescomplemented
250#2316C2211yescharacteristic, complemented
251#2309C2211yescharacteristic, complemented
252C4×#123C2212yescomplemented
253C4×#123C2212yescomplemented
254C4×#121C2212yescomplemented
255C4×#121C2212yescomplemented
256C4×#120C2212yescomplemented
257C4×#120C2212yescomplemented
258#2280C2211yescharacteristic
259C22×#41C2311yescharacteristic
260C22×#41C2312yes—
261C22×#41C2312yes—
262C23×D4C2311yescharacteristic
263C23×D4C2312yes—
264C23×D4C2312yes—
265C24×C4C2311yescharacteristic
266C24×C4C2312yes—
267#556—44no—
268#550—48no—
269#547—44no—
270#547—48no—
271#546—48no—
272#535—44no—
273C2×C4⋊Q8C2311yescharacteristic
274C2×C4⋊Q8C2312yes—
275C2×C4⋊Q8C2311yescharacteristic
276C2×#127C2312yes—
277C2×#127C2314yes—
278C2×#126C2314yes—
279C2×#126C2314yes—
280C2×#124C2314yes—
281C2×#124C2312yes—
282C2×#124C2312yes—
283C2×#124C2312yes—
284#525—48no—
285#525—44no—
286#525—48no—
287C2×#123C2314yes—
288C2×#123C2312yes—
289C2×#123C2312yes—
290C2×#123C2312yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×#121—44no—
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2312yes—
308C2×#121C2314yes—
309C2×#121C2314yes—
310C2×#121C2312yes—
311C2×#121C2312yes—
312C2×#121C2312yes—
313C2×#121C2314yes—
314C2×#121C2314yes—
315C2×#121C2312yes—
316C2×#121C2314yes—
317C2×#121C2314yes—
318C2×#121C2312yes—
319C2×#121C2314yes—
320C2×#121C2314yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#120C2314yes—
324C2×#120C2314yes—
325C2×#120C2314yes—
326C2×#120C2314yes—
327C2×#120C2312yes—
328C2×#120C2312yes—
329C2×#120C2312yes—
330C2×#120C2314yes—
331C2×#120C2312yes—
332C2×#120C2312yes—
333#520—44no—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×D4—48no—
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2314yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×#117C2312yes—
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2312yes—
370C2×#117C2312yes—
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2314yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2314yes—
378C22×C22⋊C4C2312yes—
379C22×C22⋊C4C2312yes—
380C22×C42C2312yes—
381#401C2314yes—
382#401C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#399C2314yes—
390#399C2314yes—
391#399C2314yes—
392#399C2314yes—
393#399C2312yes—
394#399C2314yes—
395#398C2311yescharacteristic
396#398C2311yescharacteristic
397#398C2312yes—
398#398C2312yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2312yes—
406#398C2312yes—
407#398C2312yes—
408#398C2312yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2312yes—
413#397C2311yescharacteristic
414#397C2312yes—
415#397C2311yescharacteristic
416#397C2314yes—
417#397C2312yes—
418#397C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#396C2312yes—
430#396C2312yes—
431#396C2312yes—
432#396C2312yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#395C2312yes—
442#394C2311yescharacteristic
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2312yes—
450#394C2312yes—
451#394C2312yes—
452#394C2312yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2311yescharacteristic
457#394C2312yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#393C2312yes—
478#393C2312yes—
479#393C2314yes—
480#393C2314yes—
481#393C2312yes—
482#392C2314yes—
483#392C2314yes—
484#392C2311yescharacteristic
485#392C2312yes—
486#392C2311yescharacteristic
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2312yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#391C2312yes—
502#391C2314yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2314yes—
513#390C2314yes—
514#390C2314yes—
515#390C2314yes—
516#390C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2314yes—
520#390C2314yes—
521#390C2314yes—
522#390C2314yes—
523#390C2314yes—
524#390C2314yes—
525#390C2312yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2312yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#387C2314yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#386C2312yes—
600#386C2312yes—
601#386C2312yes—
602#386C2312yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2312yes—
618#386C2312yes—
619#386C2312yes—
620#386C2312yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#385C2312yes—
636#385C2312yes—
637#385C2312yes—
638#385C2312yes—
639#385C2312yes—
640#385C2312yes—
641#385C2312yes—
642#385C2312yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#384C2314yes—
660#384C2312yes—
661#383C2312yes—
662#383C2314yes—
663#383C2314yes—
664#382C2312yes—
665#382C2314yes—
666#382C2311yescharacteristic
667#382C2311yescharacteristic
668#381C2312yes—
669#381C2314yes—
670#381C2314yes—
671#381C2311yescharacteristic
672#381C2311yescharacteristic
673#381C2314yes—
674#381C2312yes—
675#380C2314yes—
676#380C2312yes—
677#380C2312yes—
678#380C2314yes—
679#380C2314yes—
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2314yes—
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2312yes—
690#380C2314yes—
691#380C2314yes—
692#380C2312yes—
693#379C2312yes—
694#379C2312yes—
695#379C2314yes—
696#379C2314yes—
697#379C2314yes—
698#379C2312yes—
699#379C2311yescharacteristic
700#379C2311yescharacteristic
701#379C2312yes—
702C4×C4⋊C4C2311yescharacteristic
703C4×C4⋊C4C2314yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2311yescharacteristic
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720#376C2312yes—
721#376C2314yes—
722C2×#95C2314yes—
723C2×#95C2312yes—
724C25C2411yescharacteristic
725C25C2412yes—
726C25C2412yes—
727C2×#41—24no—
728C2×#41—28no—
729C2×#41—24no—
730C2×#41—42no—
731C2×#41—44no—
732C2×#41—44no—
733C2×#41—44no—
734C2×#41—44no—
735C2×#41—44no—
736C22×Q8C2411yescharacteristic
737C22×Q8C2412yes—
738C22×Q8C2412yes—
739C22×D4—24no—
740C22×D4—44no—
741C22×D4—42no—
742C22×D4—44no—
743C22×D4—42no—
744C22×D4—44no—
745C22×D4—44no—
746C22×D4—48no—
747C22×D4C2412yes—
748C22×D4C2414yes—
749C22×D4C2412yes—
750C22×D4C2412yes—
751C22×D4C2414yes—
752C22×D4C2412yes—
753C22×D4C2411yescharacteristic
754C22×D4C2412yes—
755C22×D4C2412yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2414yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2412yes—
762C22×D4C2411yescharacteristic
763C22×D4C2414yes—
764C22×D4C2411yescharacteristic
765C22×D4C2412yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C23×C4—24no—
770C23×C4—44no—
771C23×C4—42no—
772C23×C4—42no—
773C23×C4—44no—
774C23×C4—44no—
775C23×C4C2412yes—
776C23×C4C2412yes—
777C23×C4C2412yes—
778C23×C4C2412yes—
779C23×C4C2411yescharacteristic
780C23×C4C2411yescharacteristic
781C23×C4C2412yes—
782C23×C4C2412yes—
783C23×C4C2412yes—
784C23×C4C2414yes—
785C23×C4C2412yes—
786C23×C4C2414yes—
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2414yes—
790C23×C4C2414yes—
791C23×C4C2412yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C4⋊Q8—42no—
795C4⋊Q8—44no—
796C4⋊Q8—42no—
797#127—28no—
798#127—48no—
799#126—48no—
800#126—48no—
801#124—48no—
802#124—44no—
803#124—44no—
804#124—44no—
805#123—48no—
806#123—48no—
807#123—48no—
808#123—44no—
809#123—48no—
810#123—48no—
811#123—44no—
812#123—44no—
813#123—48no—
814C22⋊Q8—28no—
815C22⋊Q8—28no—
816C22⋊Q8—44no—
817C22⋊Q8—44no—
818C22⋊Q8—44no—
819C22⋊Q8—44no—
820C22⋊Q8—44no—
821C22⋊Q8—44no—
822#121—28no—
823#121—28no—
824#121—28no—
825#121—48no—
826#121—44no—
827#121—48no—
828#121—48no—
829#121—48no—
830#121—48no—
831#121—48no—
832#121—48no—
833#121—48no—
834#121—44no—
835#121—44no—
836#121—44no—
837#121—44no—
838#121—48no—
839#121—48no—
840#120—48no—
841#120—44no—
842#120—48no—
843#120—48no—
844#120—44no—
845#120—48no—
846#120—44no—
847#120—48no—
848#120—44no—
849#120—44no—
850C4×Q8—24no—
851C4×Q8—44no—
852C4×Q8—42no—
853C4×Q8—44no—
854C4×D4—28no—
855C4×D4—28no—
856C4×D4—24no—
857C4×D4—48no—
858C4×D4—42no—
859C4×D4—48no—
860C4×D4—44no—
861C4×D4—44no—
862C4×D4—44no—
863C4×D4—44no—
864C4×D4—48no—
865C4×D4—44no—
866C4×D4—42no—
867C4×D4—44no—
868C4×D4—42no—
869C4×D4—44no—
870C4×D4—44no—
871C4×D4—48no—
872C4×D4—44no—
873C4×D4—44no—
874C4×D4—44no—
875C4×D4—48no—
876C4×D4—48no—
877C4×D4—48no—
878C4×D4—48no—
879C4×D4—48no—
880#117—28no—
881#117—42no—
882#117—42no—
883#117—44no—
884#117—42no—
885#117—44no—
886C2×C4⋊C4—24no—
887C2×C4⋊C4—44no—
888C2×C4⋊C4—44no—
889C2×C4⋊C4—48no—
890C2×C4⋊C4—44no—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C22⋊C4—44no—
937C2×C22⋊C4—44no—
938C2×C22⋊C4—44no—
939C2×C22⋊C4—48no—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2411yescharacteristic
966C2×C22⋊C4C2411yescharacteristic
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2411yescharacteristic
969C2×C22⋊C4C2411yescharacteristic
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C42—44no—
1012C2×C42C2414yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028#95C2412yes—
1029#95C2411yescharacteristic
1030#95C2414yes—
1031#95C2414yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2411yescharacteristic
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2411yescharacteristic
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2411yescharacteristic
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078C24—22no—
1079C24—24no—
1080C24—24no—
1081C24—24no—
1082C24—42no—
1083C24—41no—
1084C24—42no—
1085C24—42no—
1086C24—42no—
1087C24—42no—
1088C24—41no—
1089C24—42no—
1090C24—42no—
1091C24—42no—
1092C24—44no—
1093C24—44no—
1094C24—42no—
1095C24C2512yes—
1096C24C2512yes—
1097C24C2514yes—
1098C24C2511yescharacteristic
1099C24C2512yes—
1100C24C2512yes—
1101#41—416no—
1102#41—816no—
1103#41—816no—
1104C2×Q8—22no—
1105C2×Q8—24no—
1106C2×Q8—24no—
1107C2×Q8—24no—
1108C2×Q8—22no—
1109C2×Q8—22no—
1110C2×Q8—42no—
1111C2×Q8—44no—
1112C2×D4—24no—
1113C2×D4—24no—
1114C2×D4—28no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—28no—
1118C2×D4—24no—
1119C2×D4—28no—
1120C2×D4—24no—
1121C2×D4—28no—
1122C2×D4—28no—
1123C2×D4—28no—
1124C2×D4—28no—
1125C2×D4—28no—
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—28no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—24no—
1133C2×D4—24no—
1134C2×D4—24no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—44no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—42no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—432no—
1176C2×D4—88no—
1177C2×D4—816no—
1178C2×D4H(5,𝔽2)14yes—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—24no—
1182C22×C4—22no—
1183C22×C4—28no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—28no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—41no—
1205C22×C4—42no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—42no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—41no—
1225C22×C4—42no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—42no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—88no—
1233C22×C4—816no—
1234C22×C4H(5,𝔽2)14yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2514yes—
1242C22×C4C2514yes—
1243C22×C4C2512yes—
1244C22×C4C2514yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2514yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2514yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—28no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—41no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—41no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4H(5,𝔽2)14yes—
1303C22⋊C4—24no—
1304C22⋊C4—24no—
1305C22⋊C4—28no—
1306C22⋊C4—28no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—28no—
1314C22⋊C4—28no—
1315C22⋊C4—24no—
1316C22⋊C4—28no—
1317C22⋊C4—28no—
1318C22⋊C4—24no—
1319C22⋊C4—28no—
1320C22⋊C4—24no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—41no—
1329C22⋊C4—42no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C42—24no—
1375C42—24no—
1376C42—28no—
1377C42—22no—
1378C42—22no—
1379C42—24no—
1380C42—24no—
1381C42—28no—
1382C42—42no—
1383C42—42no—
1384C42—42no—
1385C42—44no—
1386C42—42no—
1387C42—44no—
1388C42—44no—
1389C42—44no—
1390C23—22no—
1391C23—22no—
1392C23—21no—
1393C23—21no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—24no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—24no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—24no—
1408C23—22no—
1409C23—24no—
1410C23—22no—
1411C23—22no—
1412C23—24no—
1413C23—22no—
1414C23—24no—
1415C23—24no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—24no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—24no—
1424C23—22no—
1425C23—48no—
1426C23—44no—
1427C23—48no—
1428C23—82no—
1429C23—84no—
1430C23—84no—
1431C23—84no—
1432C23—84no—
1433C23—84no—
1434C23—88no—
1435C23—84no—
1436C23—84no—
1437C23—82no—
1438C23—84no—
1439C23—84no—
1440C23—84no—
1441C23—164no—
1442C23C2×H(5,𝔽2)12yes—
1443C23C2×H(5,𝔽2)14yes—
1444C23#58514yes—
1445C23C2611yescharacteristic
1446Q8—44no—
1447Q8—48no—
1448Q8—84no—
1449D4—28no—
1450D4—48no—
1451D4—48no—
1452D4—416no—
1453D4—416no—
1454D4—48no—
1455D4—48no—
1456D4—48no—
1457D4—48no—
1458D4—84no—
1459D4—88no—
1460D4—88no—
1461D4—88no—
1462D4—88no—
1463D4—88no—
1464D4—82no—
1465D4—84no—
1466D4—88no—
1467D4—82no—
1468D4—88no—
1469D4—164no—
1470D4—164no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—28no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—48no—
1530C2×C4—48no—
1531C2×C4—48no—
1532C2×C4—48no—
1533C2×C4—48no—
1534C2×C4—84no—
1535C2×C4—88no—
1536C2×C4—84no—
1537C2×C4—84no—
1538C2×C4—84no—
1539C2×C4—82no—
1540C2×C4—88no—
1541C2×C4—84no—
1542C2×C4—84no—
1543C2×C4—84no—
1544C2×C4—88no—
1545C2×C4—162no—
1546C2×C4—164no—
1547C2×C4C2×H(5,𝔽2)14yes—
1548C2×C4C2×H(5,𝔽2)12yes—
1549C2×C4C2×H(5,𝔽2)12yes—
1550C2×C4C2×H(5,𝔽2)12yes—
1551C2×C4C2×H(5,𝔽2)12yes—
1552C2×C4#58514yes—
1553C22—22no—
1554C22—24no—
1555C22—24no—
1556C22—24no—
1557C22—28no—
1558C22—24no—
1559C22—24no—
1560C22—42no—
1561C22—41no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—41no—
1568C22—42no—
1569C22—44no—
1570C22—42no—
1571C22—42no—
1572C22—44no—
1573C22—44no—
1574C22—42no—
1575C22—42no—
1576C22—42no—
1577C22—44no—
1578C22—42no—
1579C22—42no—
1580C22—44no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22—44no—
1585C22—44no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—44no—
1590C22—42no—
1591C22—88no—
1592C22—816no—
1593C22—168no—
1594C22C22×H(5,𝔽2)11yescharacteristic
1595C22C22×H(5,𝔽2)11yescharacteristic
1596C22C22×H(5,𝔽2)11yescharacteristic
1597C22C2×#58512yes—
1598C22C2×#58512yes—
1599C4—22no—
1600C4—24no—
1601C4—24no—
1602C4—42no—
1603C4—42no—
1604C4—42no—
1605C4—42no—
1606C4—44no—
1607C4—41no—
1608C4—42no—
1609C4—41no—
1610C4—44no—
1611C4—42no—
1612C4—42no—
1613C4—44no—
1614C4—41no—
1615C4—44no—
1616C4—41no—
1617C4—42no—
1618C4—42no—
1619C4—42no—
1620C4—44no—
1621C4#353714yes—
1622C2—44no—
1623C2—44no—
1624C2—42no—
1625C2—82no—
1626C2—82no—
1627C2—84no—
1628C2C2×#353711yescharacteristic
1629C2#6282112yes—
1630C2#6301711yescharacteristic
1631C2#6301812yes—
1632C2#6302211yescharacteristic
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. #59403C2semidirect
2. #58999C2semidirect
3. #58319C2semidirect
4. #58260C2semidirect
5. #55149C2semidirect
6. #52048C2semidirect
7. #49641C2semidirect
8. #48487C2semidirect
9. #48443C2semidirect
10. #45628C2semidirect
11. #45508C2semidirect
12. #45396C2semidirect
13. #45380C2semidirect
14. #44892C2semidirect
15. #44813C2semidirect
16. #43155C2semidirect
17. #42975C2semidirect
18. #42673C2semidirect
19. #40145C2semidirect
20. #39863C2semidirect
21. #39861C2semidirect
22. #39531C2semidirect
23. #37381C2semidirect
24. #36100C2semidirect
25. #36096C2semidirect
26. #36020C2semidirect
27. #36019C2semidirect
28. #35563C2semidirect
29. #34956C2semidirect
30. C2×#556C22semidirect
31. C2×#550C22semidirect
32. C2×#547C22semidirect
33. C2×#547C22semidirect
34. C2×#546C22semidirect
35. C2×#535C22semidirect
37. C2×#525C22semidirect
38. C2×#525C22semidirect
40. C2×#520C22semidirect
42. #2857C22semidirect
43. #2850C22semidirect
45. #2848C22semidirect
46. #2847C22semidirect
47. #2837C22semidirect
48. #2828C22semidirect
50. #2812C22semidirect
51. #2801C22semidirect
52. #2801C22semidirect
53. #2800C22semidirect
54. #2797C22semidirect
55. #2796C22semidirect
56. #2790C22semidirect
57. #2788C22semidirect
58. #2786C22semidirect
59. #2783C22semidirect
60. #2781C22semidirect
61. #2780C22semidirect
62. #2778C22semidirect
63. #2778C22semidirect
64. #2777C22semidirect
65. #2771C22semidirect
66. #2770C22semidirect
67. #2764C22semidirect
68. #2760C22semidirect
69. #2757C22semidirect
71. #2756C22semidirect
72. #2756C22semidirect
73. #2756C22semidirect
74. #2751C22semidirect
75. #2749C22semidirect
76. #2746C22semidirect
77. #2746C22semidirect
78. #2741C22semidirect
80. #2736C22semidirect
82. #2724C22semidirect
83. #2718C22semidirect
84. #2710C22semidirect
85. #2709C22semidirect
86. #2708C22semidirect
87. #2705C22semidirect
88. #2703C22semidirect
89. #2701C22semidirect
90. #2699C22semidirect
91. #2685C22semidirect
92. #2685C22semidirect
93. #2682C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2673C22semidirect
98. #2670C22semidirect
100. #2669C22semidirect
101. #2669C22semidirect
102. #2668C22semidirect
103. #2662C22semidirect
104. #2636C22semidirect
105. #2635C22semidirect
107. #2631C22semidirect
108. #2630C22semidirect
109. #2628C22semidirect
110. #2622C22semidirect
111. #2621C22semidirect
112. #2618C22semidirect
113. #2610C22semidirect
114. #2606C22semidirect
115. #2603C22semidirect
116. #2603C22semidirect
120. #2600C22semidirect
121. #2599C22semidirect
122. #2594C22semidirect
123. #2593C22semidirect
124. #2580C22semidirect
125. #2579C22semidirect
126. #2579C22semidirect
127. #2563C22semidirect
128. #2559C22semidirect
129. #2546C22semidirect
130. #2545C22semidirect
132. #2543C22semidirect
133. #2543C22semidirect
134. #2542C22semidirect
136. #2540C22semidirect
137. #2537C22semidirect
138. #2536C22semidirect
140. #2535C22semidirect
141. #2534C22semidirect
142. #2534C22semidirect
143. #2534C22semidirect
144. #2534C22semidirect
145. #2531C22semidirect
146. #2526C22semidirect
147. #2522C22semidirect
148. #2514C22semidirect
149. #2512C22semidirect
150. #2510C22semidirect
151. #2507C22semidirect
152. #2500C22semidirect
153. #2495C22semidirect
154. #2494C22semidirect
155. #2494C22semidirect
156. #2492C22semidirect
157. #2491C22semidirect
158. #2486C22semidirect
159. #2485C22semidirect
161. #2483C22semidirect
162. #2481C22semidirect
163. #2467C22semidirect
165. #2464C22semidirect
166. #2459C22semidirect
168. #2456C22semidirect
169. #2456C22semidirect
170. #2455C22semidirect
171. #2455C22semidirect
172. #2455C22semidirect
173. #2447C22semidirect
174. #2445C22semidirect
175. #2443C22semidirect
176. #2443C22semidirect
177. #2443C22semidirect
178. #2432C22semidirect
179. #2432C22semidirect
180. #2431C22semidirect
181. #2429C22semidirect
182. #2429C22semidirect
183. #2428C22semidirect
184. #2428C22semidirect
185. #2428C22semidirect
186. #2427C22semidirect
187. #2426C22semidirect
188. #2426C22semidirect
189. #2425C22semidirect
190. #2424C22semidirect
191. #2424C22semidirect
192. #2423C22semidirect
193. #2422C22semidirect
194. #2421C22semidirect
195. #2421C22semidirect
196. #2420C22semidirect
197. #2420C22semidirect
199. #2418C22semidirect
200. #2418C22semidirect
201. #2418C22semidirect
202. #2417C22semidirect
203. #2416C22semidirect
204. #2416C22semidirect
205. #2415C22semidirect
206. #2415C22semidirect
207. #2415C22semidirect
209. #2414C22semidirect
210. #2414C22semidirect
211. #2413C22semidirect
215. #2408C22semidirect
217. #2407C22semidirect
218. #2407C22semidirect
219. #2407C22semidirect
223. #2398C22semidirect
227. C2×#398C22semidirect
228. #2383C22semidirect
229. #2375C22semidirect
230. #2366C22semidirect
231. #2363C22semidirect
232. #2362C22semidirect
233. #2361C22semidirect
234. #2361C22semidirect
235. #2358C22semidirect
236. #2356C22semidirect
237. #2354C22semidirect
238. #2353C22semidirect
239. #2352C22semidirect
240. #2349C22semidirect
241. D4×C4⋊C4C22semidirect
242. #2346C22semidirect
243. #2339C22semidirect
245. #2326C22semidirect
246. #2325C22semidirect
247. #2325C22semidirect
248. #2323C22semidirect
249. #2319C22semidirect
250. #2316C22semidirect
251. #2309C22semidirect
252. C4×#123C22semidirect
253. C4×#123C22semidirect
254. C4×#121C22semidirect
255. C4×#121C22semidirect
256. C4×#120C22semidirect
257. C4×#120C22semidirect

Maximal subgroups

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

subgroupindex
#594032
#589992
#583192
#582602
#551492
#520482
#496412
#484872
#484432
#456282
#455082
#453962
#453802
#448922
#448132
#431552
#429752
#426732
#401452
#398632
#398612
#395312
#373812
#361002
#360962
#360202
#360192
#355632
#349562