Finite Group Databasebeta

← #8508892

Subgroups — #8508892

Order 512.

5149 conjugacy classes of subgroups.

The subgroup lattice has 1610 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic, complemented
2#57581C214yesmaximal, complemented
3#57530C214yesmaximal, complemented
4#57469C214yesmaximal, complemented
5#57354C214yesmaximal, complemented
6#57288C214yesmaximal, complemented
7#53375C212yesmaximal, complemented
8#53346C212yesmaximal, complemented
9#53046C212yesmaximal, complemented
10#52103C211yesmaximal, characteristic, complemented
11#49876C214yesmaximal, complemented
12#46015C212yesmaximal, complemented
13#45601C212yesmaximal, complemented
14#45078C212yesmaximal, complemented
15#45052C212yesmaximal, complemented
16#42880C212yesmaximal, complemented
17#42648C212yesmaximal, complemented
18#42434C212yesmaximal, complemented
19#39863C212yesmaximal, complemented
20#39501C211yesmaximal, characteristic, complemented
21#39500C211yesmaximal, characteristic, complemented
22#37657C212yesmaximal, complemented
23#37656C212yesmaximal, complemented
24#37375C212yesmaximal, complemented
25#37271C212yesmaximal, complemented
26#37216C212yesmaximal, complemented
27#36534C211yesmaximal, characteristic, complemented
28#35209C211yesmaximal, characteristic, complemented
29#35198C211yesmaximal, characteristic, complemented
30C2×#556C2211yescharacteristic
31C2×#554C2211yescharacteristic, complemented
32C2×#550C2212yescomplemented
33C2×#547C2212yescomplemented
34C2×#542C2212yescomplemented
35C2×#541C2212yescomplemented
36C2×#537C2212yes—
37C2×#525C2212yes—
38C2×#525C2212yes—
39C2×#525C2212yescomplemented
40#2862C2211yescharacteristic, complemented
41#2861C2212yes—
42#2860C2212yes—
43#2860C2212yescomplemented
44#2859C2212yescomplemented
45#2858C2212yes—
46#2848C2212yescomplemented
47#2848C2212yescomplemented
48#2847C2212yescomplemented
49#2832C2214yescomplemented
50#2828C2214yes—
51#2824C2214yes—
52#2824C2214yescomplemented
53#2819C2214yescomplemented
54#2818C2214yes—
55#2816C2214yescomplemented
56#2816C2214yescomplemented
57#2809C2212yescomplemented
58#2809C2212yescomplemented
59#2808C2212yes—
60#2808C2212yes—
61#2808C2212yescomplemented
62#2808C2212yescomplemented
63#2804C2214yescomplemented
64#2803C2214yes—
65#2795C2214yescomplemented
66#2783C2214yescomplemented
67#2782C2214yescomplemented
68#2775C2214yescomplemented
69#2763C2214yescomplemented
70#2753C2214yes—
71#2753C2214yescomplemented
72#2744C2214yescomplemented
73#2737C2214yescomplemented
74#2733C2212yes—
75#2733C2212yes—
76#2733C2214yescomplemented
77#2731C2214yes—
78#2723C2214yescomplemented
79#2720C2214yescomplemented
80#2720C2214yescomplemented
81#2720C2214yescomplemented
82#2718C2214yes—
83#2718C2214yescomplemented
84#2718C2214yescomplemented
85#2718C2214yescomplemented
86#2718C2214yescomplemented
87#2714C2214yes—
88#2714C2214yes—
89#2714C2214yescomplemented
90#2712C2214yes—
91#2712C2214yes—
92#2711C2214yes—
93#2711C2214yes—
94#2711C2214yes—
95#2711C2214yescomplemented
96#2711C2214yescomplemented
97#2710C2214yes—
98#2710C2214yes—
99#2710C2214yescomplemented
100#2710C2214yescomplemented
101#2706C2214yes—
102#2699C2214yes—
103#2692C2214yescomplemented
104#2692C2214yescomplemented
105#2685C2214yes—
106#2685C2214yescomplemented
107#2685C2214yescomplemented
108#2684C2214yescomplemented
109#2683C2211yescharacteristic
110#2682C2211yescharacteristic
111#2682C2212yes—
112#2682C2211yescharacteristic
113#2682C2212yescomplemented
114#2681C2212yes—
115#2681C2212yes—
116#2681C2214yescomplemented
117#2680C2212yes—
118#2680C2214yescomplemented
119#2679C2211yescharacteristic
120#2678C2212yes—
121#2678C2214yes—
122#2678C2212yes—
123#2678C2214yescomplemented
124#2676C2214yes—
125#2676C2214yes—
126#2673C2214yes—
127#2671C2214yes—
128#2670C2214yes—
129#2670C2214yes—
130#2670C2214yes—
131#2669C2214yes—
132#2669C2212yes—
133#2669C2214yescomplemented
134#2668C2214yescomplemented
135#2664C2214yescomplemented
136#2662C2214yescomplemented
137#2661C2214yes—
138#2641C2214yescomplemented
139#2636C2214yes—
140#2635C2214yescomplemented
141#2633C2214yescomplemented
142#2623C2214yescomplemented
143#2621C2212yescomplemented
144#2620C2214yescomplemented
145#2619C2212yescomplemented
146#2616C2212yes—
147#2616C2212yes—
148#2615C2212yes—
149#2612C2214yescomplemented
150#2610C2214yes—
151#2603C2214yes—
152#2603C2214yescomplemented
153#2580C2214yescomplemented
154#2565C2212yescomplemented
155#2563C2211yescharacteristic
156#2563C2212yescomplemented
157#2562C2212yes—
158#2562C2212yescomplemented
159#2560C2214yescomplemented
160#2560C2214yescomplemented
161#2552C2211yescharacteristic, complemented
162#2551C2211yescharacteristic, complemented
163#2548C2211yescharacteristic, complemented
164#2547C2212yes—
165#2547C2211yescharacteristic, complemented
166#2546C2211yescharacteristic, complemented
167#2544C2212yes—
168#2542C2211yescharacteristic
169#2542C2212yes—
170#2542C2212yescomplemented
171#2541C2211yescharacteristic
172#2541C2212yes—
173#2540C2212yes—
174#2540C2212yescomplemented
175#2538C2211yescharacteristic
176#2538C2211yescharacteristic
177#2538C2212yescomplemented
178#2537C2212yescomplemented
179#2536C2212yes—
180#2536C2212yescomplemented
181#2536C2212yescomplemented
182#2535C2212yes—
183#2532C2214yescomplemented
184#2532C2214yescomplemented
185#2531C2214yescomplemented
186#2526C2214yescomplemented
187#2526C2214yescomplemented
188#2519C2214yescomplemented
189#2512C2212yes—
190#2506C2212yescomplemented
191#2502C2214yescomplemented
192#2500C2214yescomplemented
193#2492C2212yescomplemented
194#2492C2212yescomplemented
195#2492C2212yescomplemented
196#2492C2212yescomplemented
197#2491C2212yescomplemented
198#2491C2212yescomplemented
199#2491C2212yescomplemented
200#2490C2212yescomplemented
201#2490C2212yescomplemented
202#2489C2212yescomplemented
203#2476C2214yescomplemented
204#2464C2214yes—
205#2464C2214yescomplemented
206#2463C2214yescomplemented
207#2461C2214yescomplemented
208#2459C2214yescomplemented
209#2459C2214yescomplemented
210#2456C2214yes—
211#2452C2212yescomplemented
212#2449C2214yescomplemented
213#2445C2212yes—
214#2445C2214yescomplemented
215#2443C2214yes—
216#2439C2214yescomplemented
217#2432C2212yescomplemented
218#2432C2212yescomplemented
219#2429C2212yescomplemented
220#2428C2214yes—
221#2426C2212yescomplemented
222#2422C2214yescomplemented
223#2417C2212yescomplemented
224#2416C2212yescomplemented
225#2416C2214yescomplemented
226#2415C2212yes—
227#2414C2212yes—
228#2414C2214yescomplemented
229#2407C2212yes—
230#2407C2212yes—
231#2407C2212yes—
232#2407C2212yescomplemented
233#2407C2212yescomplemented
234#2407C2212yescomplemented
235#2392C2212yes—
236#2392C2212yes—
237#2388C2212yes—
238#2379C2214yescomplemented
239#2357C2212yescomplemented
240#2356C2212yescomplemented
241#2352C2212yescomplemented
242#2352C2212yescomplemented
243D4×C4⋊C4C2212yescomplemented
244#2346C2212yescomplemented
245#2344C2212yescomplemented
246#2326C2214yescomplemented
247#2324C2212yescomplemented
248#2323C2212yescomplemented
249#2314C2212yescomplemented
250#2314C2212yescomplemented
251C4×C4⋊Q8C2211yescharacteristic, complemented
252C4×#127C2211yescharacteristic
253C4×#127C2211yescharacteristic, complemented
254C4×#124C2212yescomplemented
255C4×#120C2212yes—
256#2293C2211yescharacteristic
257#2293C2211yescharacteristic
258C42×Q8C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C22×#41C2312yes—
261C22×#41C2312yes—
262C24×C4C2312yes—
263#556—44no—
264#554—44no—
265#550—48no—
266#547—48no—
267#542—48no—
268#541—48no—
269#537—48no—
270C2×C4⋊Q8C2311yescharacteristic
271C2×C4⋊Q8C2311yescharacteristic
272C2×C4⋊Q8C2312yes—
273C2×C4⋊Q8C2311yescharacteristic
274C2×C4⋊Q8C2312yes—
275C2×C4⋊Q8C2312yes—
276C2×#127C2311yescharacteristic
277C2×#127C2311yescharacteristic
278C2×#127C2314yes—
279C2×#127C2312yes—
280C2×#126C2314yes—
281C2×#126C2314yes—
282C2×#126C2314yes—
283C2×#126C2314yes—
284C2×#125C2312yes—
285C2×#125C2312yes—
286C2×#125C2314yes—
287C2×#125C2314yes—
288C2×#124C2312yes—
289C2×#124C2314yes—
290C2×#124C2314yes—
291C2×#124C2314yes—
292C2×#124C2312yes—
293C2×#124C2312yes—
294C2×#124C2314yes—
295C2×#124C2314yes—
296#525—48no—
297#525—48no—
298#525—48no—
299C2×#123C2314yes—
300C2×#123C2312yes—
301C2×#123C2312yes—
302C2×#123C2312yes—
303C2×#123C2312yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2314yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2314yes—
324C2×#121C2312yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#120C2312yes—
343C2×#120C2312yes—
344C2×#120C2312yes—
345C2×#120C2312yes—
346C2×#120C2314yes—
347C2×#120C2312yes—
348C2×#120C2314yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2314yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#399C2314yes—
385#399C2314yes—
386#399C2314yes—
387#399C2314yes—
388#399C2314yes—
389#399C2314yes—
390#399C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2312yes—
398#398C2314yes—
399#398C2312yes—
400#398C2314yes—
401#398C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2312yes—
409#397C2314yes—
410#397C2314yes—
411#397C2312yes—
412#397C2314yes—
413#397C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2312yes—
419#396C2312yes—
420#396C2312yes—
421#396C2312yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#395C2314yes—
427#395C2314yes—
428#395C2314yes—
429#395C2312yes—
430#394C2314yes—
431#394C2314yes—
432#394C2312yes—
433#394C2312yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2312yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2312yes—
466#394C2312yes—
467#394C2312yes—
468#394C2312yes—
469#394C2312yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2312yes—
485#393C2314yes—
486#392C2312yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2312yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2312yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2312yes—
503#392C2312yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2314yes—
513#391C2312yes—
514#391C2314yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2314yes—
519#391C2314yes—
520#391C2314yes—
521#390C2312yes—
522#390C2312yes—
523#390C2311yescharacteristic
524#390C2311yescharacteristic
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2314yes—
530#390C2314yes—
531#390C2312yes—
532#390C2314yes—
533#390C2314yes—
534#390C2314yes—
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2314yes—
540#390C2314yes—
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2314yes—
547#390C2312yes—
548#390C2312yes—
549#390C2314yes—
550#390C2314yes—
551#390C2314yes—
552#390C2314yes—
553#390C2311yescharacteristic
554#390C2311yescharacteristic
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
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#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2312yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2312yes—
641#386C2314yes—
642#386C2312yes—
643#386C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2312yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2312yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2312yes—
664#384C2311yescharacteristic
665#384C2311yescharacteristic
666#384C2311yescharacteristic
667#384C2314yes—
668#384C2312yes—
669#384C2312yes—
670#384C2314yes—
671#383C2314yes—
672#382C2312yes—
673#382C2314yes—
674#382C2314yes—
675#382C2312yes—
676#382C2312yes—
677#382C2314yes—
678#381C2314yes—
679#381C2314yes—
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2314yes—
693#380C2314yes—
694#379C2314yes—
695#379C2314yes—
696#379C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2311yescharacteristic
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2311yescharacteristic
708C4×C4⋊C4C2311yescharacteristic
709C4×C4⋊C4C2311yescharacteristic
710C4×C4⋊C4C2311yescharacteristic
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718#376C2314yes—
719#376C2314yes—
720C43C2311yescharacteristic
721C43C2312yes—
722C25C2412yes—
723C2×#41—44no—
724C2×#41—44no—
725C2×#41—44no—
726C2×#41—44no—
727C2×#41—44no—
728C2×#41—44no—
729C2×#41—44no—
730C2×#41—44no—
731C2×#41—44no—
732C22×Q8C2411yescharacteristic
733C22×Q8C2412yes—
734C22×Q8C2412yes—
735C22×Q8C2412yes—
736C22×Q8C2412yes—
737C22×Q8C2414yes—
738C22×D4C2412yes—
739C22×D4C2411yescharacteristic
740C22×D4C2412yes—
741C22×D4C2411yescharacteristic
742C22×D4C2411yescharacteristic
743C22×D4C2411yescharacteristic
744C22×D4C2412yes—
745C22×D4C2414yes—
746C22×D4C2412yes—
747C22×D4C2412yes—
748C22×D4C2412yes—
749C22×D4C2412yes—
750C22×D4C2412yes—
751C22×D4C2414yes—
752C22×D4C2412yes—
753C22×D4C2412yes—
754C22×D4C2412yes—
755C22×D4C2412yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2414yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C23×C4—44no—
763C23×C4—44no—
764C23×C4—44no—
765C23×C4C2412yes—
766C23×C4C2412yes—
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2414yes—
770C23×C4C2414yes—
771C23×C4C2414yes—
772C23×C4C2414yes—
773C23×C4C2412yes—
774C23×C4C2412yes—
775C23×C4C2412yes—
776C4⋊Q8—24no—
777C4⋊Q8—44no—
778C4⋊Q8—42no—
779C4⋊Q8—42no—
780C4⋊Q8—44no—
781C4⋊Q8—82no—
782#127—24no—
783#127—42no—
784#127—48no—
785#127—82no—
786#126—48no—
787#126—48no—
788#126—48no—
789#126—48no—
790#125—44no—
791#125—48no—
792#125—48no—
793#125—44no—
794#124—48no—
795#124—48no—
796#124—44no—
797#124—44no—
798#124—44no—
799#124—48no—
800#124—84no—
801#124—84no—
802#123—44no—
803#123—44no—
804#123—48no—
805#123—44no—
806#123—44no—
807#123—48no—
808#123—48no—
809#123—48no—
810C22⋊Q8—28no—
811C22⋊Q8—44no—
812C22⋊Q8—44no—
813C22⋊Q8—44no—
814C22⋊Q8—44no—
815C22⋊Q8—48no—
816C22⋊Q8—48no—
817C22⋊Q8—48no—
818C22⋊Q8—44no—
819C22⋊Q8—44no—
820C22⋊Q8—44no—
821C22⋊Q8—44no—
822C22⋊Q8—44no—
823C22⋊Q8—44no—
824C22⋊Q8—44no—
825C22⋊Q8—44no—
826C22⋊Q8—44no—
827#121—28no—
828#121—48no—
829#121—44no—
830#121—44no—
831#121—44no—
832#121—44no—
833#121—48no—
834#121—48no—
835#121—48no—
836#121—44no—
837#121—44no—
838#121—48no—
839#121—44no—
840#121—48no—
841#121—44no—
842#121—44no—
843#121—84no—
844#121—84no—
845#120—44no—
846#120—44no—
847#120—44no—
848#120—48no—
849#120—44no—
850#120—44no—
851#120—84no—
852C4×Q8—24no—
853C4×Q8—24no—
854C4×Q8—28no—
855C4×Q8—24no—
856C4×Q8—44no—
857C4×D4—24no—
858C4×D4—24no—
859C4×D4—28no—
860C4×D4—28no—
861C4×D4—28no—
862C4×D4—44no—
863C4×D4—48no—
864C4×D4—48no—
865C4×D4—48no—
866C4×D4—44no—
867C4×D4—44no—
868C4×D4—44no—
869C4×D4—44no—
870C4×D4—42no—
871C4×D4—44no—
872C4×D4—42no—
873C4×D4—82no—
874#117—28no—
875#117—28no—
876#117—28no—
877#117—84no—
878C2×C4⋊C4—28no—
879C2×C4⋊C4—48no—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C42C2414yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2412yes—
1009C2×C42C2414yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2414yes—
1014C2×C42C2414yes—
1015C2×C42C2411yescharacteristic
1016C2×C42C2414yes—
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2414yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024#95C2412yes—
1025#95C2412yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067C24—42no—
1068C24—42no—
1069C24—42no—
1070C24—42no—
1071C24—42no—
1072C24—42no—
1073C24—42no—
1074C24C2512yes—
1075C24C2512yes—
1076C24C2512yes—
1077C24C2514yes—
1078C24C2512yes—
1079#41—816no—
1080#41—816no—
1081#41—816no—
1082C2×Q8—22no—
1083C2×Q8—22no—
1084C2×Q8—22no—
1085C2×Q8—24no—
1086C2×Q8—24no—
1087C2×Q8—24no—
1088C2×Q8—24no—
1089C2×Q8—42no—
1090C2×Q8—42no—
1091C2×Q8—42no—
1092C2×Q8—42no—
1093C2×Q8—42no—
1094C2×Q8—42no—
1095C2×Q8—44no—
1096C2×Q8—44no—
1097C2×Q8—42no—
1098C2×Q8—44no—
1099C2×Q8—42no—
1100C2×D4—24no—
1101C2×D4—24no—
1102C2×D4—24no—
1103C2×D4—24no—
1104C2×D4—22no—
1105C2×D4—22no—
1106C2×D4—24no—
1107C2×D4—24no—
1108C2×D4—28no—
1109C2×D4—24no—
1110C2×D4—22no—
1111C2×D4—22no—
1112C2×D4—41no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—41no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—44no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—41no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—44no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—44no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—42no—
1152C2×D4—44no—
1153C2×D4—42no—
1154C2×D4—41no—
1155C2×D4—42no—
1156C2×D4—44no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—42no—
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—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—24no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—28no—
1185C22×C4—28no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—44no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—44no—
1205C22×C4—816no—
1206C22×C4C2512yes—
1207C22×C4C2514yes—
1208C22×C4C2512yes—
1209C22×C4C2514yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2514yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2514yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C4⋊C4—28no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—28no—
1244C4⋊C4—24no—
1245C4⋊C4—28no—
1246C4⋊C4—22no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—41no—
1255C4⋊C4—42no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—42no—
1261C4⋊C4—41no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—44no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—41no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—41no—
1284C4⋊C4H(5,𝔽2)14yes—
1285C22⋊C4—24no—
1286C22⋊C4—24no—
1287C22⋊C4—28no—
1288C22⋊C4—24no—
1289C22⋊C4—24no—
1290C22⋊C4—24no—
1291C22⋊C4—24no—
1292C22⋊C4—24no—
1293C22⋊C4—24no—
1294C22⋊C4—24no—
1295C22⋊C4—24no—
1296C22⋊C4—28no—
1297C22⋊C4—28no—
1298C22⋊C4—28no—
1299C22⋊C4—28no—
1300C22⋊C4—24no—
1301C22⋊C4—24no—
1302C22⋊C4—42no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—44no—
1310C22⋊C4—42no—
1311C22⋊C4—44no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—44no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4—44no—
1328C22⋊C4—42no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
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—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C42—28no—
1354C42—24no—
1355C42—24no—
1356C42—22no—
1357C42—24no—
1358C42—28no—
1359C42—24no—
1360C42—24no—
1361C42—22no—
1362C42—24no—
1363C42—42no—
1364C42—41no—
1365C42—41no—
1366C42—44no—
1367C42—44no—
1368C42—44no—
1369C42—41no—
1370C42—44no—
1371C42—42no—
1372C42H(5,𝔽2)14yes—
1373C42H(5,𝔽2)14yes—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—24no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—24no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—24no—
1389C23—24no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—24no—
1398C23—22no—
1399C23—24no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—24no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—84no—
1410C23—84no—
1411C23—84no—
1412C23—84no—
1413C23—84no—
1414C23—84no—
1415C23—84no—
1416C23C2611yescharacteristic
1417Q8—44no—
1418Q8—48no—
1419Q8—84no—
1420Q8—84no—
1421Q8—162no—
1422Q8—164no—
1423D4—44no—
1424D4—48no—
1425D4—48no—
1426D4—88no—
1427D4—82no—
1428D4—84no—
1429D4—82no—
1430D4—82no—
1431D4—84no—
1432D4—84no—
1433D4—84no—
1434D4—84no—
1435D4—88no—
1436D4—84no—
1437D4—84no—
1438D4—84no—
1439D4—84no—
1440D4—84no—
1441D4—88no—
1442D4—88no—
1443D4—164no—
1444D4—164no—
1445D4—164no—
1446D4—164no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—24no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—21no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—48no—
1511C2×C4—48no—
1512C2×C4—48no—
1513C2×C4—48no—
1514C2×C4—88no—
1515C2×C4—88no—
1516C2×C4—84no—
1517C2×C4—84no—
1518C2×C4—84no—
1519C2×C4—88no—
1520C2×C4—88no—
1521C2×C4C2×H(5,𝔽2)12yes—
1522C2×C4C2×H(5,𝔽2)14yes—
1523C2×C4C2×H(5,𝔽2)12yes—
1524C2×C4C2×H(5,𝔽2)12yes—
1525C2×C4C2×H(5,𝔽2)12yes—
1526C2×C4C2×H(5,𝔽2)12yes—
1527C2×C4C2×H(5,𝔽2)12yes—
1528C2×C4C2×H(5,𝔽2)12yes—
1529C2×C4#58512yes—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—44no—
1535C22—42no—
1536C22—42no—
1537C22—44no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—44no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22—42no—
1547C22—44no—
1548C22—42no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—44no—
1553C22—42no—
1554C22—42no—
1555C22—44no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—44no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22—816no—
1566C22C22×H(5,𝔽2)11yescharacteristic
1567C22C22×H(5,𝔽2)11yescharacteristic
1568C22C22×H(5,𝔽2)11yescharacteristic
1569C22C2×#58511yescharacteristic
1570C22H(7,𝔽2)11yescharacteristic
1571C222−1+611yescharacteristic
1572C222−1+611yescharacteristic
1573C4—24no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—22no—
1578C4—22no—
1579C4—42no—
1580C4—42no—
1581C4—42no—
1582C4—42no—
1583C4—44no—
1584C4—42no—
1585C4—44no—
1586C4—41no—
1587C4—42no—
1588C4—44no—
1589C4—42no—
1590C4—44no—
1591C4—42no—
1592C4—42no—
1593C4—44no—
1594C4—42no—
1595C4—42no—
1596C4#354914yes—
1597C2—82no—
1598C2—84no—
1599C2—82no—
1600C2—82no—
1601C2—82no—
1602C2C2×#354911yescharacteristic
1603C2#6287811yescharacteristic
1604C2#6288811yescharacteristic
1605C2#6289711yescharacteristic
1606C2#6292511yescharacteristic
1607C2#6295511yescharacteristic
1608C2#6304911yescharacteristic
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. #59815C2semidirect
2. #57581C2semidirect
3. #57530C2semidirect
4. #57469C2semidirect
5. #57354C2semidirect
6. #57288C2semidirect
7. #53375C2semidirect
8. #53346C2semidirect
9. #53046C2semidirect
10. #52103C2semidirect
11. #49876C2semidirect
12. #46015C2semidirect
13. #45601C2semidirect
14. #45078C2semidirect
15. #45052C2semidirect
16. #42880C2semidirect
17. #42648C2semidirect
18. #42434C2semidirect
19. #39863C2semidirect
20. #39501C2semidirect
21. #39500C2semidirect
22. #37657C2semidirect
23. #37656C2semidirect
24. #37375C2semidirect
25. #37271C2semidirect
26. #37216C2semidirect
27. #36534C2semidirect
28. #35209C2semidirect
29. #35198C2semidirect
31. C2×#554C22semidirect
32. C2×#550C22semidirect
33. C2×#547C22semidirect
34. C2×#542C22semidirect
35. C2×#541C22semidirect
39. C2×#525C22semidirect
40. #2862C22semidirect
43. #2860C22semidirect
44. #2859C22semidirect
46. #2848C22semidirect
47. #2848C22semidirect
48. #2847C22semidirect
49. #2832C22semidirect
52. #2824C22semidirect
53. #2819C22semidirect
55. #2816C22semidirect
56. #2816C22semidirect
57. #2809C22semidirect
58. #2809C22semidirect
61. #2808C22semidirect
62. #2808C22semidirect
63. #2804C22semidirect
65. #2795C22semidirect
66. #2783C22semidirect
67. #2782C22semidirect
68. #2775C22semidirect
69. #2763C22semidirect
71. #2753C22semidirect
72. #2744C22semidirect
73. #2737C22semidirect
76. #2733C22semidirect
78. #2723C22semidirect
79. #2720C22semidirect
80. #2720C22semidirect
81. #2720C22semidirect
83. #2718C22semidirect
84. #2718C22semidirect
85. #2718C22semidirect
86. #2718C22semidirect
89. #2714C22semidirect
95. #2711C22semidirect
96. #2711C22semidirect
99. #2710C22semidirect
100. #2710C22semidirect
103. #2692C22semidirect
104. #2692C22semidirect
106. #2685C22semidirect
107. #2685C22semidirect
108. #2684C22semidirect
113. #2682C22semidirect
116. #2681C22semidirect
118. #2680C22semidirect
123. #2678C22semidirect
133. #2669C22semidirect
134. #2668C22semidirect
135. #2664C22semidirect
136. #2662C22semidirect
138. #2641C22semidirect
140. #2635C22semidirect
141. #2633C22semidirect
142. #2623C22semidirect
143. #2621C22semidirect
144. #2620C22semidirect
145. #2619C22semidirect
149. #2612C22semidirect
152. #2603C22semidirect
153. #2580C22semidirect
154. #2565C22semidirect
156. #2563C22semidirect
158. #2562C22semidirect
159. #2560C22semidirect
160. #2560C22semidirect
161. #2552C22semidirect
162. #2551C22semidirect
163. #2548C22semidirect
165. #2547C22semidirect
166. #2546C22semidirect
170. #2542C22semidirect
174. #2540C22semidirect
177. #2538C22semidirect
178. #2537C22semidirect
180. #2536C22semidirect
181. #2536C22semidirect
183. #2532C22semidirect
184. #2532C22semidirect
185. #2531C22semidirect
186. #2526C22semidirect
187. #2526C22semidirect
188. #2519C22semidirect
190. #2506C22semidirect
191. #2502C22semidirect
192. #2500C22semidirect
193. #2492C22semidirect
194. #2492C22semidirect
195. #2492C22semidirect
196. #2492C22semidirect
197. #2491C22semidirect
198. #2491C22semidirect
199. #2491C22semidirect
200. #2490C22semidirect
201. #2490C22semidirect
202. #2489C22semidirect
203. #2476C22semidirect
205. #2464C22semidirect
206. #2463C22semidirect
207. #2461C22semidirect
208. #2459C22semidirect
209. #2459C22semidirect
211. #2452C22semidirect
212. #2449C22semidirect
214. #2445C22semidirect
216. #2439C22semidirect
217. #2432C22semidirect
218. #2432C22semidirect
219. #2429C22semidirect
221. #2426C22semidirect
222. #2422C22semidirect
223. #2417C22semidirect
224. #2416C22semidirect
225. #2416C22semidirect
228. #2414C22semidirect
232. #2407C22semidirect
233. #2407C22semidirect
234. #2407C22semidirect
238. #2379C22semidirect
239. #2357C22semidirect
240. #2356C22semidirect
241. #2352C22semidirect
242. #2352C22semidirect
243. D4×C4⋊C4C22semidirect
244. #2346C22semidirect
245. #2344C22semidirect
246. #2326C22semidirect
247. #2324C22semidirect
248. #2323C22semidirect
249. #2314C22semidirect
250. #2314C22semidirect
251. C4×C4⋊Q8C22semidirect
253. C4×#127C22semidirect
254. C4×#124C22semidirect
258. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#598152
#575812
#575302
#574692
#573542
#572882
#533752
#533462
#530462
#521032
#498762
#460152
#456012
#450782
#450522
#428802
#426482
#424342
#398632
#395012
#395002
#376572
#376562
#373752
#372712
#372162
#365342
#352092
#351982