Finite Group Databasebeta

← #8096431

Subgroups — #8096431

Order 512.

5790 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53117C212yesmaximal, complemented
2#52986C211yesmaximal, characteristic, complemented
3#52973C212yesmaximal, complemented
4#52969C211yesmaximal, characteristic, complemented
5#52662C212yesmaximal, complemented
6#52484C214yesmaximal, complemented
7#52405C212yesmaximal, complemented
8#52333C214yesmaximal, complemented
9#52300C211yesmaximal, characteristic, complemented
10#52096C212yesmaximal, complemented
11#46340C212yesmaximal, complemented
12#46028C214yesmaximal, complemented
13#45992C212yesmaximal, complemented
14#45992C212yesmaximal, complemented
15#45785C214yesmaximal, complemented
16#45761C214yesmaximal, complemented
17#45610C212yesmaximal, complemented
18#45487C211yesmaximal, characteristic, complemented
19#45476C212yesmaximal, complemented
20#45452C214yesmaximal, complemented
21#36529C211yesmaximal, characteristic, complemented
22#36495C212yesmaximal, complemented
23#36251C212yesmaximal, complemented
24#36128C212yesmaximal, complemented
25#36101C212yesmaximal, complemented
26#35995C211yesmaximal, characteristic, complemented
27#35941C211yesmaximal, characteristic, complemented
28#35865C212yesmaximal, complemented
29#35741C212yesmaximal, complemented
30C2×#560C2212yes—
31C2×#560C2214yescomplemented
32C2×#560C2214yescomplemented
33C2×#553C2211yescharacteristic
34C2×#550C2212yes—
35C2×#550C2211yescharacteristic, complemented
36C2×#532C2214yescomplemented
37C2×#525C2214yescomplemented
38C2×#518C2211yescharacteristic, complemented
39C22×C4×D4C2211yescharacteristic, complemented
40#2867C2212yes—
41#2860C2212yescomplemented
42#2860C2212yescomplemented
43#2856C2212yes—
44#2856C2214yescomplemented
45#2854C2211yescharacteristic, complemented
46#2854C2214yescomplemented
47#2853C2214yescomplemented
48#2847C2212yes—
49#2847C2214yescomplemented
50#2837C2214yescomplemented
51#2829C2214yescomplemented
52#2829C2214yescomplemented
53#2828C2214yes—
54#2828C2212yescomplemented
55#2826C2214yescomplemented
56#2818C2214yescomplemented
57#2818C2214yescomplemented
58#2815C2214yes—
59#2815C2212yes—
60#2813C2214yescomplemented
61#2813C2214yescomplemented
62#2813C2214yescomplemented
63#2813C2214yescomplemented
64#2813C2214yescomplemented
65#2813C2214yescomplemented
66#2812C2212yes—
67#2812C2212yes—
68#2812C2212yescomplemented
69#2791C2212yescomplemented
70#2777C2212yescomplemented
71#2771C2211yescharacteristic, complemented
72#2764C2211yescharacteristic, complemented
73#2758C2212yescomplemented
74#2727C2214yescomplemented
75#2722C2211yescharacteristic, complemented
76#2718C2212yes—
77#2718C2214yescomplemented
78#2716C2212yescomplemented
79#2715C2214yescomplemented
80#2714C2214yescomplemented
81#2710C2214yescomplemented
82#2708C2214yescomplemented
83#2702C2212yes—
84#2702C2214yescomplemented
85#2701C2214yescomplemented
86#2699C2212yescomplemented
87#2695C2214yescomplemented
88#2682C2214yescomplemented
89#2682C2214yescomplemented
90#2679C2214yes—
91#2678C2214yescomplemented
92#2677C2211yescharacteristic, complemented
93#2676C2214yescomplemented
94#2676C2214yescomplemented
95#2675C2212yes—
96#2674C2214yescomplemented
97#2673C2214yescomplemented
98#2673C2214yescomplemented
99#2673C2214yescomplemented
100#2673C2214yescomplemented
101#2673C2214yescomplemented
102#2673C2214yescomplemented
103#2672C2214yescomplemented
104#2671C2214yescomplemented
105#2671C2214yescomplemented
106#2671C2214yescomplemented
107#2671C2214yescomplemented
108#2671C2214yescomplemented
109#2671C2214yescomplemented
110#2670C2212yes—
111#2670C2212yes—
112#2669C2212yes—
113#2669C2214yes—
114#2669C2214yescomplemented
115#2669C2214yescomplemented
116#2669C2214yescomplemented
117#2669C2214yescomplemented
118#2669C2214yescomplemented
119#2669C2214yescomplemented
120#2668C2212yescomplemented
121#2661C2212yescomplemented
122#2648C2214yescomplemented
123#2641C2212yes—
124#2641C2211yescharacteristic, complemented
125#2636C2212yescomplemented
126#2635C2214yescomplemented
127#2624C2211yescharacteristic, complemented
128#2619C2212yes—
129#2603C2212yescomplemented
130#2584C2211yescharacteristic, complemented
131#2580C2212yescomplemented
132#2578C2214yescomplemented
133#2566C2212yescomplemented
134#2559C2214yescomplemented
135#2559C2214yescomplemented
136#2559C2214yescomplemented
137#2554C2214yescomplemented
138#2554C2214yescomplemented
139#2553C2214yescomplemented
140#2548C2212yes—
141#2548C2212yescomplemented
142#2543C2212yescomplemented
143#2541C2212yes—
144#2541C2212yes—
145#2541C2211yescharacteristic
146#2541C2212yes—
147#2541C2212yescomplemented
148#2541C2212yescomplemented
149#2541C2212yescomplemented
150#2541C2212yescomplemented
151#2539C2212yes—
152#2539C2214yescomplemented
153#2538C2212yescomplemented
154#2535C2212yes—
155#2534C2212yescomplemented
156#2531C2214yescomplemented
157#2518C2214yescomplemented
158#2516C2214yescomplemented
159#2513C2212yescomplemented
160#2512C2212yescomplemented
161#2509C2212yescomplemented
162#2507C2212yescomplemented
163#2490C2212yes—
164#2490C2212yes—
165#2476C2214yescomplemented
166#2476C2214yescomplemented
167#2467C2214yescomplemented
168#2467C2214yescomplemented
169#2467C2214yescomplemented
170#2466C2214yescomplemented
171#2464C2214yescomplemented
172#2464C2214yescomplemented
173#2457C2214yescomplemented
174#2457C2214yescomplemented
175#2456C2214yes—
176#2456C2214yescomplemented
177#2456C2214yescomplemented
178#2454C2212yescomplemented
179#2454C2212yescomplemented
180#2454C2212yescomplemented
181#2454C2212yescomplemented
182#2445C2212yes—
183#2445C2212yes—
184#2445C2212yescomplemented
185#2445C2212yescomplemented
186#2445C2212yescomplemented
187#2445C2212yescomplemented
188#2445C2212yescomplemented
189#2445C2212yescomplemented
190#2444C2214yescomplemented
191#2433C2212yes—
192#2433C2212yes—
193#2433C2212yescomplemented
194#2433C2211yescharacteristic, complemented
195#2433C2212yescomplemented
196#2433C2211yescharacteristic, complemented
197#2431C2214yescomplemented
198#2431C2214yescomplemented
199#2430C2212yescomplemented
200#2428C2212yes—
201#2428C2214yes—
202#2428C2212yes—
203#2428C2212yes—
204#2428C2212yes—
205#2428C2214yescomplemented
206#2428C2214yescomplemented
207#2428C2214yescomplemented
208#2428C2214yescomplemented
209#2428C2212yescomplemented
210#2428C2212yescomplemented
211#2425C2214yescomplemented
212#2424C2214yes—
213#2424C2214yescomplemented
214#2424C2214yescomplemented
215#2424C2214yescomplemented
216#2424C2214yescomplemented
217#2422C2212yescomplemented
218#2420C2212yescomplemented
219#2418C2214yescomplemented
220#2414C2214yescomplemented
221#2408C2211yescharacteristic
222#2408C2211yescharacteristic
223#2407C2214yescomplemented
224#2404C2214yescomplemented
225#2402C2212yescomplemented
226#2398C2211yescharacteristic
227#2397C2212yes—
228#2396C2212yescomplemented
229#2395C2211yescharacteristic
230#2392C2214yescomplemented
231#2388C2212yescomplemented
232#2388C2214yescomplemented
233#2377C2214yescomplemented
234#2376C2214yescomplemented
235#2370C2212yescomplemented
236#2366C2212yes—
237#2366C2212yescomplemented
238#2366C2212yescomplemented
239#2366C2212yescomplemented
240#2366C2212yescomplemented
241#2363C2212yes—
242#2363C2212yescomplemented
243#2361C2212yes—
244#2361C2212yescomplemented
245#2357C2212yescomplemented
246#2354C2212yescomplemented
247#2346C2211yescharacteristic, complemented
248#2345C2211yescharacteristic, complemented
249C4×C4⋊Q8C2212yescomplemented
250C4×#126C2212yescomplemented
251C4×#126C2212yescomplemented
252C4×C22⋊Q8C2212yescomplemented
253C4×#123C2211yescharacteristic
254C4×#121C2214yescomplemented
255C4×#120C2212yescomplemented
256#2290C2214yescomplemented
257#2275C2211yescharacteristic, complemented
258C42×D4C2212yescomplemented
259C22×#41C2314yes—
260C22×#41C2312yes—
261C23×D4C2311yescharacteristic
262C23×D4C2311yescharacteristic
263C24×C4C2312yes—
264#560—416no—
265#560—48no—
266#560—416no—
267#553—44no—
268#550—48no—
269#550—44no—
270#532—416no—
271C2×C4⋊Q8C2312yes—
272C2×#127C2314yes—
273C2×#127C2314yes—
274C2×#127C2312yes—
275C2×#127C2314yes—
276C2×#127C2312yes—
277C2×#127C2312yes—
278C2×#127C2312yes—
279C2×#127C2312yes—
280C2×#127C2312yes—
281C2×#127C2312yes—
282C2×#127C2312yes—
283C2×#127C2312yes—
284C2×#127C2311yescharacteristic
285C2×#127C2312yes—
286C2×#127C2314yes—
287C2×#126C2312yes—
288C2×#126C2312yes—
289C2×#126C2314yes—
290C2×#126C2314yes—
291C2×#126C2312yes—
292C2×#126C2314yes—
293C2×#125C2312yes—
294C2×#125C2311yescharacteristic
295C2×#124C2314yes—
296C2×#124C2314yes—
297#525—416no—
298C2×#123C2314yes—
299C2×#123C2311yescharacteristic
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2312yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2312yes—
309C2×#123C2314yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2314yes—
312C2×#121C2314yes—
313C2×#121C2314yes—
314C2×#121C2314yes—
315C2×#121C2312yes—
316C2×#121C2314yes—
317C2×#121C2314yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#121C2311yescharacteristic
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2311yescharacteristic
331C2×#121C2314yes—
332C2×#121C2312yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#120C2312yes—
347C2×#120C2314yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×#120C2312yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C2×#120C2312yes—
357C2×#120C2312yes—
358C2×#120C2314yes—
359#518—44no—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×D4—44no—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2314yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×#117C2311yescharacteristic
385C2×#117C2314yes—
386C2×#117C2311yescharacteristic
387C22×C4⋊C4C2311yescharacteristic
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2314yes—
390C22×C42C2314yes—
391C22×C42C2311yescharacteristic
392#400C2312yes—
393#400C2314yes—
394#400C2312yes—
395#400C2311yescharacteristic
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#400C2312yes—
400#400C2314yes—
401#399C2312yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2311yescharacteristic
406#399C2312yes—
407#399C2314yes—
408#399C2314yes—
409#398C2312yes—
410#398C2314yes—
411#398C2312yes—
412#398C2314yes—
413#398C2311yescharacteristic
414#398C2312yes—
415#398C2312yes—
416#398C2312yes—
417#398C2312yes—
418#398C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2311yescharacteristic
429#397C2311yescharacteristic
430#397C2311yescharacteristic
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2312yes—
441#396C2312yes—
442#395C2312yes—
443#395C2312yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2312yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2312yes—
475#394C2314yes—
476#394C2312yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#393C2314yes—
489#393C2311yescharacteristic
490#393C2312yes—
491#393C2311yescharacteristic
492#392C2312yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2312yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2312yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2312yes—
517#392C2314yes—
518#392C2314yes—
519#392C2312yes—
520#392C2312yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2312yes—
536#390C2314yes—
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2312yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
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#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2311yescharacteristic
628#386C2312yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2314yes—
666#385C2311yescharacteristic
667#385C2312yes—
668#384C2312yes—
669#384C2312yes—
670#383C2312yes—
671#383C2312yes—
672#382C2312yes—
673#382C2312yes—
674#381C2314yes—
675#381C2314yes—
676#381C2311yescharacteristic
677#380C2314yes—
678#380C2312yes—
679#380C2314yes—
680#380C2312yes—
681#380C2314yes—
682#380C2314yes—
683#380C2311yescharacteristic
684#380C2314yes—
685#380C2311yescharacteristic
686#380C2314yes—
687#379C2312yes—
688#379C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2311yescharacteristic
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2312yes—
703C4×C22⋊C4C2311yescharacteristic
704C4×C22⋊C4C2311yescharacteristic
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2314yes—
718#376C2312yes—
719#376C2311yescharacteristic
720C2×#95C2312yes—
721C43C2312yes—
722C25C2412yes—
723C25C2412yes—
724C2×#41—48no—
725C2×#41—44no—
726C2×#41—48no—
727C2×#41—48no—
728C2×#41—48no—
729C22×Q8C2412yes—
730C22×Q8C2411yescharacteristic
731C22×D4—42no—
732C22×D4—42no—
733C22×D4—44no—
734C22×D4—44no—
735C22×D4C2411yescharacteristic
736C22×D4C2412yes—
737C22×D4C2412yes—
738C22×D4C2412yes—
739C22×D4C2411yescharacteristic
740C22×D4C2414yes—
741C22×D4C2412yes—
742C22×D4C2414yes—
743C22×D4C2414yes—
744C22×D4C2414yes—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2414yes—
748C22×D4C2414yes—
749C22×D4C2414yes—
750C22×D4C2412yes—
751C22×D4C2412yes—
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2412yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2414yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2412yes—
766C22×D4C2414yes—
767C22×D4C2412yes—
768C23×C4—44no—
769C23×C4—48no—
770C23×C4C2411yescharacteristic
771C23×C4C2411yescharacteristic
772C23×C4C2414yes—
773C23×C4C2414yes—
774C23×C4C2411yescharacteristic
775C23×C4C2411yescharacteristic
776C23×C4C2412yes—
777C23×C4C2414yes—
778C23×C4C2412yes—
779C23×C4C2414yes—
780C23×C4C2414yes—
781C23×C4C2414yes—
782C23×C4C2414yes—
783C23×C4C2414yes—
784C4⋊Q8—28no—
785#127—44no—
786#127—44no—
787#127—44no—
788#127—44no—
789#127—44no—
790#127—48no—
791#127—44no—
792#127—44no—
793#127—42no—
794#127—44no—
795#127—44no—
796#127—48no—
797#127—48no—
798#127—44no—
799#127—84no—
800#126—28no—
801#126—28no—
802#126—44no—
803#126—48no—
804#126—48no—
805#126—48no—
806#125—44no—
807#125—42no—
808#124—48no—
809#124—48no—
810#123—216no—
811#123—24no—
812#123—48no—
813#123—48no—
814#123—48no—
815#123—44no—
816#123—48no—
817#123—48no—
818#123—48no—
819#123—48no—
820#123—82no—
821#123—84no—
822C22⋊Q8—28no—
823C22⋊Q8—48no—
824#121—216no—
825#121—216no—
826#121—48no—
827#121—48no—
828#121—48no—
829#121—48no—
830#121—44no—
831#121—48no—
832#121—44no—
833#121—48no—
834#121—48no—
835#121—48no—
836#121—48no—
837#121—48no—
838#121—48no—
839#121—48no—
840#121—48no—
841#121—48no—
842#121—48no—
843#121—48no—
844#121—44no—
845#121—44no—
846#121—44no—
847#121—44no—
848#121—48no—
849#121—42no—
850#121—42no—
851#121—48no—
852#121—48no—
853#121—48no—
854#121—48no—
855#121—84no—
856#121—84no—
857#121—84no—
858#120—28no—
859#120—48no—
860#120—48no—
861#120—48no—
862#120—48no—
863#120—48no—
864#120—48no—
865#120—48no—
866#120—48no—
867#120—44no—
868#120—82no—
869#120—84no—
870#120—82no—
871C4×Q8—44no—
872C4×Q8—42no—
873C4×D4—28no—
874C4×D4—28no—
875C4×D4—216no—
876C4×D4—28no—
877C4×D4—24no—
878C4×D4—44no—
879C4×D4—48no—
880C4×D4—44no—
881C4×D4—44no—
882C4×D4—44no—
883C4×D4—44no—
884C4×D4—44no—
885C4×D4—48no—
886C4×D4—44no—
887C4×D4—44no—
888C4×D4—42no—
889C4×D4—48no—
890C4×D4—48no—
891C4×D4—48no—
892C4×D4—48no—
893C4×D4—48no—
894#117—24no—
895#117—42no—
896#117—48no—
897C2×C4⋊C4—24no—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C22⋊C4—44no—
944C2×C22⋊C4—48no—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C42—42no—
1014C2×C42—48no—
1015C2×C42C2412yes—
1016C2×C42C2414yes—
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033#95C2411yescharacteristic
1034#95C2414yes—
1035#95C2412yes—
1036#95C2411yescharacteristic
1037#95C2411yescharacteristic
1038#95C2412yes—
1039#95C2412yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2411yescharacteristic
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080C24—24no—
1081C24—42no—
1082C24—44no—
1083C24—42no—
1084C24—44no—
1085C24—44no—
1086C24—42no—
1087C24—44no—
1088C24—42no—
1089C24—42no—
1090C24C2511yescharacteristic
1091C24C2514yes—
1092C24C2514yes—
1093C24C2512yes—
1094C24C2514yes—
1095C24C2511yescharacteristic
1096#41—832no—
1097#41—816no—
1098C2×Q8—24no—
1099C2×Q8—24no—
1100C2×Q8—24no—
1101C2×Q8—42no—
1102C2×Q8—41no—
1103C2×D4—24no—
1104C2×D4—28no—
1105C2×D4—22no—
1106C2×D4—28no—
1107C2×D4—24no—
1108C2×D4—24no—
1109C2×D4—22no—
1110C2×D4—24no—
1111C2×D4—28no—
1112C2×D4—28no—
1113C2×D4—28no—
1114C2×D4—28no—
1115C2×D4—28no—
1116C2×D4—28no—
1117C2×D4—28no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—24no—
1124C2×D4—24no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—41no—
1133C2×D4—42no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—41no—
1138C2×D4—44no—
1139C2×D4—42no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—42no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
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—42no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—42no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—42no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—42no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—416no—
1198C2×D4—416no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—28no—
1203C22×C4—28no—
1204C22×C4—28no—
1205C22×C4—28no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—28no—
1210C22×C4—24no—
1211C22×C4—28no—
1212C22×C4—24no—
1213C22×C4—28no—
1214C22×C4—28no—
1215C22×C4—41no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—41no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—41no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—816no—
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2514yes—
1245C22×C4C2514yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2514yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—22no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—28no—
1269C4⋊C4—28no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—41no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—41no—
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—42no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4H(5,𝔽2)14yes—
1304C4⋊C4H(5,𝔽2)18yes—
1305C22⋊C4—24no—
1306C22⋊C4—24no—
1307C22⋊C4—24no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—28no—
1311C22⋊C4—28no—
1312C22⋊C4—28no—
1313C22⋊C4—24no—
1314C22⋊C4—28no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—28no—
1318C22⋊C4—28no—
1319C22⋊C4—28no—
1320C22⋊C4—28no—
1321C22⋊C4—28no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—28no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—41no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—42no—
1342C22⋊C4—41no—
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—44no—
1352C22⋊C4—42no—
1353C22⋊C4—41no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4H(5,𝔽2)14yes—
1373C42—24no—
1374C42—28no—
1375C42—24no—
1376C42—24no—
1377C42—24no—
1378C42—22no—
1379C42—24no—
1380C42—24no—
1381C42—24no—
1382C42—24no—
1383C42—24no—
1384C42—24no—
1385C42—44no—
1386C42—42no—
1387C42—44no—
1388C42—44no—
1389C42—42no—
1390C42—42no—
1391C23—22no—
1392C23—21no—
1393C23—22no—
1394C23—21no—
1395C23—22no—
1396C23—21no—
1397C23—21no—
1398C23—24no—
1399C23—24no—
1400C23—24no—
1401C23—24no—
1402C23—24no—
1403C23—22no—
1404C23—24no—
1405C23—24no—
1406C23—24no—
1407C23—24no—
1408C23—24no—
1409C23—24no—
1410C23—24no—
1411C23—22no—
1412C23—24no—
1413C23—24no—
1414C23—24no—
1415C23—24no—
1416C23—24no—
1417C23—24no—
1418C23—22no—
1419C23—24no—
1420C23—24no—
1421C23—24no—
1422C23—24no—
1423C23—22no—
1424C23—24no—
1425C23—21no—
1426C23—48no—
1427C23—48no—
1428C23—88no—
1429C23—84no—
1430C23—84no—
1431C23—88no—
1432C23—162no—
1433C23—164no—
1434C23—162no—
1435C23—164no—
1436C23C2×H(5,𝔽2)12yes—
1437C23C2611yescharacteristic
1438Q8—48no—
1439Q8—44no—
1440D4—48no—
1441D4—48no—
1442D4—44no—
1443D4—48no—
1444D4—48no—
1445D4—48no—
1446D4—88no—
1447D4—88no—
1448D4—88no—
1449D4—88no—
1450D4—88no—
1451D4—88no—
1452D4—88no—
1453D4—88no—
1454D4—88no—
1455D4—84no—
1456D4—82no—
1457D4—88no—
1458D4—88no—
1459D4—84no—
1460D4—162no—
1461D4—164no—
1462D4—164no—
1463D4—164no—
1464D4—164no—
1465D4—164no—
1466D4—164no—
1467D4—162no—
1468D4—164no—
1469D4—164no—
1470D4—164no—
1471D4—164no—
1472D4—164no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—24no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—24no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—44no—
1530C2×C4—416no—
1531C2×C4—416no—
1532C2×C4—44no—
1533C2×C4—44no—
1534C2×C4—88no—
1535C2×C4—88no—
1536C2×C4—84no—
1537C2×C4—88no—
1538C2×C4—84no—
1539C2×C4—88no—
1540C2×C4—82no—
1541C2×C4—164no—
1542C2×C4—164no—
1543C2×C4C2×H(5,𝔽2)14yes—
1544C2×C4C2×H(5,𝔽2)14yes—
1545C2×C4C2×H(5,𝔽2)14yes—
1546C2×C4C2×H(5,𝔽2)14yes—
1547C2×C4C2×H(5,𝔽2)14yes—
1548C2×C4C2×H(5,𝔽2)12yes—
1549C2×C4#58514yes—
1550C22—24no—
1551C22—22no—
1552C22—41no—
1553C22—41no—
1554C22—42no—
1555C22—44no—
1556C22—44no—
1557C22—42no—
1558C22—44no—
1559C22—41no—
1560C22—44no—
1561C22—44no—
1562C22—44no—
1563C22—44no—
1564C22—44no—
1565C22—44no—
1566C22—44no—
1567C22—42no—
1568C22—44no—
1569C22—42no—
1570C22—41no—
1571C22—44no—
1572C22—44no—
1573C22—41no—
1574C22—44no—
1575C22—44no—
1576C22—42no—
1577C22—44no—
1578C22—44no—
1579C22—44no—
1580C22—44no—
1581C22—44no—
1582C22—44no—
1583C22—44no—
1584C22—44no—
1585C22—42no—
1586C22—816no—
1587C22—168no—
1588C22C22×H(5,𝔽2)12yes—
1589C22C22×H(5,𝔽2)11yescharacteristic
1590C22C22×H(5,𝔽2)11yescharacteristic
1591C22C2×#58512yes—
1592C22H(7,𝔽2)11yescharacteristic
1593C4—24no—
1594C4—24no—
1595C4—24no—
1596C4—24no—
1597C4—24no—
1598C4—42no—
1599C4—42no—
1600C4—41no—
1601C4—44no—
1602C4—42no—
1603C4—44no—
1604C4—42no—
1605C4—42no—
1606C4—42no—
1607C4—42no—
1608C4—41no—
1609C4—42no—
1610C4—41no—
1611C4—41no—
1612C4—44no—
1613C4—42no—
1614C4—42no—
1615C4#352914yes—
1616C2—42no—
1617C2—84no—
1618C2—82no—
1619C2—84no—
1620C2—84no—
1621C2—81no—
1622C2C2×#352911yescharacteristic
1623C2#6291611yescharacteristic
1624C2#6295512yes—
1625C2#6301111yescharacteristic
1626C2#6301412yes—
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. #53117C2semidirect
2. #52986C2semidirect
3. #52973C2semidirect
4. #52969C2semidirect
5. #52662C2semidirect
6. #52484C2semidirect
7. #52405C2semidirect
8. #52333C2semidirect
9. #52300C2semidirect
10. #52096C2semidirect
11. #46340C2semidirect
12. #46028C2semidirect
13. #45992C2semidirect
14. #45992C2semidirect
15. #45785C2semidirect
16. #45761C2semidirect
17. #45610C2semidirect
18. #45487C2semidirect
19. #45476C2semidirect
20. #45452C2semidirect
21. #36529C2semidirect
22. #36495C2semidirect
23. #36251C2semidirect
24. #36128C2semidirect
25. #36101C2semidirect
26. #35995C2semidirect
27. #35941C2semidirect
28. #35865C2semidirect
29. #35741C2semidirect
31. C2×#560C22semidirect
32. C2×#560C22semidirect
35. C2×#550C22semidirect
36. C2×#532C22semidirect
37. C2×#525C22semidirect
38. C2×#518C22semidirect
39. C22×C4×D4C22semidirect
41. #2860C22semidirect
42. #2860C22semidirect
44. #2856C22semidirect
45. #2854C22semidirect
46. #2854C22semidirect
47. #2853C22semidirect
49. #2847C22semidirect
50. #2837C22semidirect
51. #2829C22semidirect
52. #2829C22semidirect
54. #2828C22semidirect
55. #2826C22semidirect
56. #2818C22semidirect
57. #2818C22semidirect
60. #2813C22semidirect
61. #2813C22semidirect
62. #2813C22semidirect
63. #2813C22semidirect
64. #2813C22semidirect
65. #2813C22semidirect
68. #2812C22semidirect
69. #2791C22semidirect
70. #2777C22semidirect
71. #2771C22semidirect
72. #2764C22semidirect
73. #2758C22semidirect
74. #2727C22semidirect
75. #2722C22semidirect
77. #2718C22semidirect
78. #2716C22semidirect
79. #2715C22semidirect
80. #2714C22semidirect
81. #2710C22semidirect
82. #2708C22semidirect
84. #2702C22semidirect
85. #2701C22semidirect
86. #2699C22semidirect
87. #2695C22semidirect
88. #2682C22semidirect
89. #2682C22semidirect
91. #2678C22semidirect
92. #2677C22semidirect
93. #2676C22semidirect
94. #2676C22semidirect
96. #2674C22semidirect
97. #2673C22semidirect
98. #2673C22semidirect
99. #2673C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
102. #2673C22semidirect
103. #2672C22semidirect
104. #2671C22semidirect
105. #2671C22semidirect
106. #2671C22semidirect
107. #2671C22semidirect
108. #2671C22semidirect
109. #2671C22semidirect
114. #2669C22semidirect
115. #2669C22semidirect
116. #2669C22semidirect
117. #2669C22semidirect
118. #2669C22semidirect
119. #2669C22semidirect
120. #2668C22semidirect
121. #2661C22semidirect
122. #2648C22semidirect
124. #2641C22semidirect
125. #2636C22semidirect
126. #2635C22semidirect
127. #2624C22semidirect
129. #2603C22semidirect
130. #2584C22semidirect
131. #2580C22semidirect
132. #2578C22semidirect
133. #2566C22semidirect
134. #2559C22semidirect
135. #2559C22semidirect
136. #2559C22semidirect
137. #2554C22semidirect
138. #2554C22semidirect
139. #2553C22semidirect
141. #2548C22semidirect
142. #2543C22semidirect
147. #2541C22semidirect
148. #2541C22semidirect
149. #2541C22semidirect
150. #2541C22semidirect
152. #2539C22semidirect
153. #2538C22semidirect
155. #2534C22semidirect
156. #2531C22semidirect
157. #2518C22semidirect
158. #2516C22semidirect
159. #2513C22semidirect
160. #2512C22semidirect
161. #2509C22semidirect
162. #2507C22semidirect
165. #2476C22semidirect
166. #2476C22semidirect
167. #2467C22semidirect
168. #2467C22semidirect
169. #2467C22semidirect
170. #2466C22semidirect
171. #2464C22semidirect
172. #2464C22semidirect
173. #2457C22semidirect
174. #2457C22semidirect
176. #2456C22semidirect
177. #2456C22semidirect
178. #2454C22semidirect
179. #2454C22semidirect
180. #2454C22semidirect
181. #2454C22semidirect
184. #2445C22semidirect
185. #2445C22semidirect
186. #2445C22semidirect
187. #2445C22semidirect
188. #2445C22semidirect
189. #2445C22semidirect
190. #2444C22semidirect
193. #2433C22semidirect
194. #2433C22semidirect
195. #2433C22semidirect
196. #2433C22semidirect
197. #2431C22semidirect
198. #2431C22semidirect
199. #2430C22semidirect
205. #2428C22semidirect
206. #2428C22semidirect
207. #2428C22semidirect
208. #2428C22semidirect
209. #2428C22semidirect
210. #2428C22semidirect
211. #2425C22semidirect
213. #2424C22semidirect
214. #2424C22semidirect
215. #2424C22semidirect
216. #2424C22semidirect
217. #2422C22semidirect
218. #2420C22semidirect
219. #2418C22semidirect
220. #2414C22semidirect
223. #2407C22semidirect
224. #2404C22semidirect
225. #2402C22semidirect
228. #2396C22semidirect
230. #2392C22semidirect
231. #2388C22semidirect
232. #2388C22semidirect
233. #2377C22semidirect
234. #2376C22semidirect
235. #2370C22semidirect
237. #2366C22semidirect
238. #2366C22semidirect
239. #2366C22semidirect
240. #2366C22semidirect
242. #2363C22semidirect
244. #2361C22semidirect
245. #2357C22semidirect
246. #2354C22semidirect
247. #2346C22semidirect
248. #2345C22semidirect
249. C4×C4⋊Q8C22semidirect
250. C4×#126C22semidirect
251. C4×#126C22semidirect
252. C4×C22⋊Q8C22semidirect
254. C4×#121C22semidirect
255. C4×#120C22semidirect
256. #2290C22semidirect
257. #2275C22semidirect
258. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#531172
#529862
#529732
#529692
#526622
#524842
#524052
#523332
#523002
#520962
#463402
#460282
#459922
#457852
#457612
#456102
#454872
#454762
#454522
#365292
#364952
#362512
#361282
#361012
#359952
#359412
#358652
#357412