Finite Group Databasebeta

← #8701235

Subgroups — #8701235

Order 512.

5493 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59945C212yesmaximal, complemented
2#59004C212yesmaximal, complemented
3#59003C212yesmaximal, complemented
4#58999C212yesmaximal, complemented
5#55351C214yesmaximal, complemented
6#55293C212yesmaximal, complemented
7#53938C214yesmaximal, complemented
8#53422C212yesmaximal, complemented
9#52301C211yesmaximal, characteristic, complemented
10#49922C214yesmaximal, complemented
11#49899C214yesmaximal, complemented
12#49590C214yesmaximal, complemented
13#46084C211yesmaximal, characteristic, complemented
14#46054C212yesmaximal, complemented
15#45408C211yesmaximal, characteristic, complemented
16#45402C212yesmaximal, complemented
17#45384C211yesmaximal, characteristic, complemented
18#45020C212yesmaximal, complemented
19#42889C212yesmaximal, complemented
20#42683C211yesmaximal, characteristic, complemented
21#42680C212yesmaximal, complemented
22#42484C211yesmaximal, characteristic, complemented
23#39887C212yesmaximal, complemented
24#39863C212yesmaximal, complemented
25#39467C212yesmaximal, complemented
26#37334C214yesmaximal, complemented
27#37216C212yesmaximal, complemented
28#36597C211yesmaximal, characteristic, complemented
29#36268C212yesmaximal, complemented
30C2×#559C2211yescharacteristic, complemented
31C2×#556C2212yescomplemented
32C2×#556C2211yescharacteristic, complemented
33C2×#552C2212yescomplemented
34C2×#550C2212yescomplemented
35C2×#547C2211yescharacteristic, complemented
36C2×#546C2212yes—
37C2×D42C2211yescharacteristic
38C2×#525C2212yescomplemented
39C2×#525C2212yescomplemented
40C22×#121C2212yescomplemented
41#2861C2212yescomplemented
42#2860C2214yescomplemented
43#2858C2212yescomplemented
44#2858C2211yescharacteristic, complemented
45#2848C2212yescomplemented
46#2828C2212yescomplemented
47#2828C2214yescomplemented
48#2818C2214yescomplemented
49#2816C2214yescomplemented
50#2813C2212yescomplemented
51#2813C2212yescomplemented
52#2809C2212yescomplemented
53#2804C2212yescomplemented
54#2804C2211yescharacteristic, complemented
55#2803C2214yescomplemented
56#2803C2214yescomplemented
57#2785C2214yescomplemented
58#2782C2211yescharacteristic
59#2782C2212yescomplemented
60#2782C2212yescomplemented
61#2782C2212yescomplemented
62#2782C2211yescharacteristic, complemented
63#2781C2214yescomplemented
64#2769C2212yescomplemented
65#2756C2214yescomplemented
66#2756C2214yescomplemented
67#2753C2214yescomplemented
68#2753C2214yescomplemented
69#2753C2214yescomplemented
70#2744C2214yescomplemented
71#2737C2214yescomplemented
72#2733C2212yescomplemented
73#2733C2212yescomplemented
74#2733C2214yescomplemented
75#2718C2214yescomplemented
76#2718C2214yescomplemented
77#2718C2214yescomplemented
78#2718C2214yescomplemented
79#2714C2214yescomplemented
80#2714C2214yescomplemented
81#2714C2214yescomplemented
82#2714C2214yescomplemented
83#2712C2214yescomplemented
84#2711C2214yescomplemented
85#2711C2214yescomplemented
86#2710C2214yescomplemented
87#2710C2214yescomplemented
88#2706C2214yescomplemented
89#2706C2214yescomplemented
90#2699C2214yescomplemented
91#2699C2212yescomplemented
92#2686C2214yescomplemented
93#2685C2214yescomplemented
94#2685C2214yescomplemented
95#2685C2214yescomplemented
96#2685C2214yescomplemented
97#2684C2212yes—
98#2684C2214yescomplemented
99#2684C2212yescomplemented
100#2684C2212yescomplemented
101#2682C2214yescomplemented
102#2679C2211yescharacteristic
103#2678C2214yes—
104#2678C2214yes—
105#2678C2214yescomplemented
106#2678C2214yescomplemented
107#2676C2214yescomplemented
108#2676C2214yescomplemented
109#2673C2214yescomplemented
110#2671C2214yescomplemented
111#2670C2214yescomplemented
112#2670C2214yescomplemented
113#2670C2214yescomplemented
114#2670C2214yescomplemented
115#2669C2214yescomplemented
116#2658C2211yescharacteristic, complemented
117#2657C2211yescharacteristic, complemented
118#2636C2214yescomplemented
119#2636C2214yescomplemented
120#2635C2212yescomplemented
121#2635C2212yescomplemented
122#2633C2214yescomplemented
123#2626C2214yescomplemented
124#2624C2214yescomplemented
125#2623C2212yescomplemented
126#2619C2214yescomplemented
127#2613C2212yes—
128#2613C2214yescomplemented
129#2610C2214yescomplemented
130#2609C2212yes—
131#2603C2214yescomplemented
132#2601C2214yescomplemented
133#2601C2214yescomplemented
134#2598C2214yes—
135#2598C2214yescomplemented
136#2593C2212yescomplemented
137#2592C2212yescomplemented
138#2584C2212yescomplemented
139#2580C2214yescomplemented
140#2572C2212yes—
141#2572C2212yescomplemented
142#2568C2211yescharacteristic, complemented
143#2566C2214yescomplemented
144#2556C2214yescomplemented
145#2554C2214yescomplemented
146#2554C2214yescomplemented
147#2554C2214yescomplemented
148#2548C2211yescharacteristic, complemented
149#2548C2212yescomplemented
150#2546C2211yescharacteristic, complemented
151#2545C2212yescomplemented
152#2544C2212yescomplemented
153#2542C2212yescomplemented
154#2541C2211yescharacteristic
155#2540C2211yescharacteristic
156#2540C2212yes—
157#2540C2211yescharacteristic
158#2540C2212yescomplemented
159#2529C2214yescomplemented
160#2526C2214yescomplemented
161#2526C2214yescomplemented
162#2519C2214yescomplemented
163#2513C2214yescomplemented
164#2495C2214yescomplemented
165#2492C2212yescomplemented
166#2491C2212yescomplemented
167#2491C2214yescomplemented
168#2490C2212yescomplemented
169#2490C2212yescomplemented
170#2490C2212yescomplemented
171#2489C2212yescomplemented
172#2487C2212yescomplemented
173#2482C2214yescomplemented
174#2482C2214yescomplemented
175#2464C2214yescomplemented
176#2464C2214yescomplemented
177#2461C2214yescomplemented
178#2456C2214yescomplemented
179#2456C2214yescomplemented
180#2455C2214yescomplemented
181#2445C2214yescomplemented
182#2443C2214yescomplemented
183#2439C2214yescomplemented
184#2435C2212yescomplemented
185#2435C2212yescomplemented
186#2433C2214yescomplemented
187#2433C2212yescomplemented
188#2432C2212yescomplemented
189#2432C2212yescomplemented
190#2432C2212yescomplemented
191#2431C2212yescomplemented
192#2431C2212yescomplemented
193#2431C2212yescomplemented
194#2429C2212yescomplemented
195#2429C2212yescomplemented
196#2429C2212yescomplemented
197#2428C2212yescomplemented
198#2428C2212yescomplemented
199#2428C2212yescomplemented
200#2428C2214yescomplemented
201#2427C2212yescomplemented
202#2426C2212yescomplemented
203#2426C2212yescomplemented
204#2426C2212yescomplemented
205#2426C2212yescomplemented
206#2426C2212yescomplemented
207#2424C2214yes—
208#2424C2214yescomplemented
209#2420C2214yescomplemented
210#2418C2214yescomplemented
211#2417C2212yes—
212#2416C2212yescomplemented
213#2415C2212yescomplemented
214#2414C2212yes—
215#2414C2212yes—
216#2414C2212yescomplemented
217#2414C2214yescomplemented
218#2411C2214yescomplemented
219#2410C2214yescomplemented
220#2408C2212yes—
221#2408C2212yes—
222#2408C2214yescomplemented
223#2407C2212yescomplemented
224#2407C2212yescomplemented
225#2403C2214yes—
226#2398C2211yescharacteristic
227#2398C2212yescomplemented
228#2398C2211yescharacteristic, complemented
229#2398C2212yescomplemented
230#2379C2212yescomplemented
231#2375C2214yescomplemented
232#2363C2212yescomplemented
233#2363C2212yescomplemented
234#2363C2212yescomplemented
235#2362C2212yescomplemented
236#2361C2214yescomplemented
237#2361C2212yescomplemented
238#2360C2212yescomplemented
239#2358C2214yescomplemented
240#2347C2212yescomplemented
241#2346C2212yescomplemented
242#2344C2212yescomplemented
243D4×C22⋊C4C2214yes—
244#2326C2214yescomplemented
245#2324C2214yescomplemented
246#2320C2212yescomplemented
247#2319C2211yescharacteristic, complemented
248#2319C2212yescomplemented
249#2319C2211yescharacteristic, complemented
250#2309C2214yescomplemented
251C4×#124C2211yescharacteristic, complemented
252C4×#124C2212yescomplemented
253C4×#124C2212yescomplemented
254C4×#120C2212yes—
255C4×#120C2212yescomplemented
256C4×#120C2212yescomplemented
257#2293C2214yescomplemented
258C42×Q8C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C22×#41C2312yes—
261C23×D4C2312yes—
262C23×D4C2312yes—
263C23×D4C2314yes—
264C24×C4C2312yes—
265#559—44no—
266#556—44no—
267#556—48no—
268#552—48no—
269#550—48no—
270#547—44no—
271#546—48no—
272D42—44no—
273C2×C4⋊Q8C2311yescharacteristic
274C2×C4⋊Q8C2311yescharacteristic
275C2×C4⋊Q8C2312yes—
276C2×C4⋊Q8C2312yes—
277C2×#127C2314yes—
278C2×#127C2311yescharacteristic
279C2×#127C2311yescharacteristic
280C2×#127C2312yes—
281C2×#127C2312yes—
282C2×#126C2314yes—
283C2×#126C2314yes—
284C2×#126C2314yes—
285C2×#126C2314yes—
286C2×#125C2314yes—
287C2×#125C2312yes—
288C2×#124C2314yes—
289C2×#124C2312yes—
290C2×#124C2312yes—
291C2×#124C2311yescharacteristic
292C2×#124C2312yes—
293C2×#124C2312yes—
294C2×#124C2312yes—
295C2×#124C2312yes—
296C2×#124C2311yescharacteristic
297C2×#124C2312yes—
298C2×#124C2311yescharacteristic
299C2×#124C2312yes—
300C2×#124C2312yes—
301C2×#124C2314yes—
302#525—48no—
303#525—48no—
304C2×#123C2312yes—
305C2×#123C2314yes—
306C2×#123C2312yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2314yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×#121—48no—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#120C2314yes—
340C2×#120C2312yes—
341C2×#120C2314yes—
342C2×#120C2312yes—
343C2×#120C2314yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×#120C2312yes—
348C2×#120C2314yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2314yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2314yes—
374C2×#117C2314yes—
375C2×#117C2314yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C22⋊C4C2314yes—
379C22×C22⋊C4C2314yes—
380#400C2312yes—
381#400C2312yes—
382#400C2311yescharacteristic
383#400C2314yes—
384#400C2311yescharacteristic
385#400C2314yes—
386#400C2312yes—
387#400C2311yescharacteristic
388#400C2312yes—
389#400C2311yescharacteristic
390#400C2312yes—
391#400C2312yes—
392#399C2312yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#399C2312yes—
397#399C2312yes—
398#399C2314yes—
399#399C2312yes—
400#399C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2312yes—
405#398C2314yes—
406#398C2312yes—
407#398C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2312yes—
414#397C2312yes—
415#397C2312yes—
416#397C2312yes—
417#397C2312yes—
418#397C2312yes—
419#397C2314yes—
420#397C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#395C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2312yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2311yescharacteristic
445#394C2312yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2311yescharacteristic
455#394C2314yes—
456#394C2312yes—
457#394C2312yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2311yescharacteristic
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2312yes—
468#394C2311yescharacteristic
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#393C2312yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2312yes—
480#393C2312yes—
481#393C2312yes—
482#393C2312yes—
483#393C2312yes—
484#392C2312yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2312yes—
495#392C2314yes—
496#392C2314yes—
497#392C2312yes—
498#392C2312yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2314yes—
515#391C2312yes—
516#391C2311yescharacteristic
517#391C2312yes—
518#390C2314yes—
519#390C2314yes—
520#390C2314yes—
521#390C2314yes—
522#390C2314yes—
523#390C2314yes—
524#390C2314yes—
525#390C2314yes—
526#390C2314yes—
527#390C2314yes—
528#390C2311yescharacteristic
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2314yes—
536#390C2314yes—
537#390C2314yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2314yes—
543#390C2312yes—
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2314yes—
551#390C2314yes—
552#390C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
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#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2312yes—
619#386C2314yes—
620#386C2312yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
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#386C2312yes—
638#386C2312yes—
639#386C2312yes—
640#386C2312yes—
641#386C2312yes—
642#386C2312yes—
643#385C2312yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2312yes—
649#385C2314yes—
650#385C2314yes—
651#385C2312yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#384C2314yes—
666#383C2314yes—
667#383C2314yes—
668#382C2314yes—
669#382C2312yes—
670#382C2314yes—
671#382C2314yes—
672#382C2312yes—
673#382C2311yescharacteristic
674#381C2314yes—
675#381C2314yes—
676#381C2312yes—
677#381C2312yes—
678#380C2314yes—
679#380C2312yes—
680#380C2312yes—
681#380C2314yes—
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2314yes—
686#379C2312yes—
687#379C2314yes—
688#379C2314yes—
689#379C2314yes—
690#379C2314yes—
691#379C2314yes—
692#379C2314yes—
693#379C2312yes—
694#379C2312yes—
695C4×C4⋊C4C2314yes—
696C4×C4⋊C4C2311yescharacteristic
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2311yescharacteristic
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2311yescharacteristic
703C4×C4⋊C4C2314yes—
704C4×C4⋊C4C2312yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718#376C2311yescharacteristic
719#376C2311yescharacteristic
720#376C2314yes—
721C43C2312yes—
722C43C2311yescharacteristic
723C25C2414yes—
724C25C2412yes—
725C2×#41—44no—
726C2×#41—44no—
727C2×#41—44no—
728C2×#41—44no—
729C2×#41—44no—
730C2×#41—44no—
731C22×Q8C2411yescharacteristic
732C22×Q8C2412yes—
733C22×Q8C2411yescharacteristic
734C22×Q8C2412yes—
735C22×Q8C2412yes—
736C22×D4—48no—
737C22×D4—44no—
738C22×D4—44no—
739C22×D4—44no—
740C22×D4—44no—
741C22×D4—48no—
742C22×D4—48no—
743C22×D4—84no—
744C22×D4C2411yescharacteristic
745C22×D4C2412yes—
746C22×D4C2411yescharacteristic
747C22×D4C2414yes—
748C22×D4C2411yescharacteristic
749C22×D4C2412yes—
750C22×D4C2412yes—
751C22×D4C2414yes—
752C22×D4C2411yescharacteristic
753C22×D4C2412yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2411yescharacteristic
759C22×D4C2412yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2412yes—
763C22×D4C2412yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2412yes—
770C23×C4—44no—
771C23×C4—44no—
772C23×C4—44no—
773C23×C4C2412yes—
774C23×C4C2412yes—
775C23×C4C2412yes—
776C23×C4C2414yes—
777C23×C4C2414yes—
778C23×C4C2412yes—
779C23×C4C2412yes—
780C23×C4C2412yes—
781C23×C4C2414yes—
782C23×C4C2414yes—
783C23×C4C2412yes—
784C23×C4C2412yes—
785C4⋊Q8—42no—
786C4⋊Q8—42no—
787C4⋊Q8—44no—
788C4⋊Q8—82no—
789#127—42no—
790#127—48no—
791#127—44no—
792#127—42no—
793#127—82no—
794#126—48no—
795#126—48no—
796#126—48no—
797#126—48no—
798#125—48no—
799#125—44no—
800#124—44no—
801#124—44no—
802#124—42no—
803#124—44no—
804#124—44no—
805#124—44no—
806#124—44no—
807#124—42no—
808#124—42no—
809#124—44no—
810#124—48no—
811#124—44no—
812#124—84no—
813#124—82no—
814#123—48no—
815#123—48no—
816#123—48no—
817#123—48no—
818#123—48no—
819#123—44no—
820#123—44no—
821C22⋊Q8—28no—
822C22⋊Q8—28no—
823C22⋊Q8—48no—
824C22⋊Q8—44no—
825C22⋊Q8—44no—
826C22⋊Q8—44no—
827C22⋊Q8—44no—
828C22⋊Q8—44no—
829#121—28no—
830#121—28no—
831#121—28no—
832#121—28no—
833#121—44no—
834#121—44no—
835#121—48no—
836#121—48no—
837#121—48no—
838#121—48no—
839#121—48no—
840#121—44no—
841#121—44no—
842#121—44no—
843#121—44no—
844#121—48no—
845#121—48no—
846#121—84no—
847#121—84no—
848#120—44no—
849#120—48no—
850#120—48no—
851#120—48no—
852#120—48no—
853#120—48no—
854#120—48no—
855#120—44no—
856#120—44no—
857#120—84no—
858C4×Q8—28no—
859C4×Q8—28no—
860C4×Q8—24no—
861C4×Q8—44no—
862C4×Q8—44no—
863C4×Q8—42no—
864C4×D4—24no—
865C4×D4—28no—
866C4×D4—24no—
867C4×D4—48no—
868C4×D4—48no—
869C4×D4—48no—
870C4×D4—48no—
871C4×D4—48no—
872C4×D4—42no—
873C4×D4—44no—
874C4×D4—42no—
875C4×D4—44no—
876C4×D4—44no—
877C4×D4—42no—
878C4×D4—44no—
879C4×D4—48no—
880#117—28no—
881#117—28no—
882#117—48no—
883#117—48no—
884#117—84no—
885C2×C4⋊C4—28no—
886C2×C4⋊C4—44no—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C22⋊C4—48no—
929C2×C22⋊C4—48no—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C42C2414yes—
1007C2×C42C2414yes—
1008C2×C42C2414yes—
1009C2×C42C2414yes—
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2412yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2414yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026#95C2412yes—
1027#95C2411yescharacteristic
1028#95C2411yescharacteristic
1029#95C2412yes—
1030#95C2414yes—
1031#95C2411yescharacteristic
1032#95C2411yescharacteristic
1033#95C2414yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073C24—24no—
1074C24—28no—
1075C24—42no—
1076C24—42no—
1077C24—44no—
1078C24—42no—
1079C24—42no—
1080C24—42no—
1081C24—42no—
1082C24—44no—
1083C24—44no—
1084C24—44no—
1085C24—44no—
1086C24—44no—
1087C24C2512yes—
1088C24C2512yes—
1089C24C2512yes—
1090C24C2514yes—
1091C24C2512yes—
1092C24C2512yes—
1093#41—816no—
1094#41—816no—
1095C2×Q8—22no—
1096C2×Q8—24no—
1097C2×Q8—24no—
1098C2×Q8—24no—
1099C2×Q8—24no—
1100C2×Q8—22no—
1101C2×Q8—24no—
1102C2×Q8—42no—
1103C2×Q8—41no—
1104C2×Q8—42no—
1105C2×Q8—42no—
1106C2×Q8—42no—
1107C2×Q8—42no—
1108C2×Q8—41no—
1109C2×D4—28no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—24no—
1113C2×D4—28no—
1114C2×D4—24no—
1115C2×D4—22no—
1116C2×D4—22no—
1117C2×D4—28no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—28no—
1123C2×D4—28no—
1124C2×D4—28no—
1125C2×D4—24no—
1126C2×D4—22no—
1127C2×D4—41no—
1128C2×D4—44no—
1129C2×D4—42no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—41no—
1133C2×D4—42no—
1134C2×D4—41no—
1135C2×D4—42no—
1136C2×D4—44no—
1137C2×D4—42no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—42no—
1143C2×D4—44no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—44no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—42no—
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—42no—
1166C2×D4—41no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—42no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—42no—
1178C2×D4—44no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4—816no—
1182C2×D4—832no—
1183C2×D4—816no—
1184C22×C4—28no—
1185C22×C4—28no—
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—28no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—44no—
1199C22×C4—42no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—44no—
1218C22×C4—816no—
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2514yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2514yes—
1229C22×C4C2514yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2514yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2514yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C4⋊C4—24no—
1243C4⋊C4—28no—
1244C4⋊C4—28no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—28no—
1248C4⋊C4—28no—
1249C4⋊C4—28no—
1250C4⋊C4—24no—
1251C4⋊C4—41no—
1252C4⋊C4—42no—
1253C4⋊C4—42no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—42no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—44no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4H(5,𝔽2)18yes—
1282C4⋊C4H(5,𝔽2)14yes—
1283C22⋊C4—24no—
1284C22⋊C4—24no—
1285C22⋊C4—24no—
1286C22⋊C4—28no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—28no—
1291C22⋊C4—24no—
1292C22⋊C4—28no—
1293C22⋊C4—24no—
1294C22⋊C4—28no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—24no—
1298C22⋊C4—24no—
1299C22⋊C4—28no—
1300C22⋊C4—42no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—42no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—42no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—42no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C42—28no—
1360C42—28no—
1361C42—28no—
1362C42—28no—
1363C42—22no—
1364C42—22no—
1365C42—24no—
1366C42—24no—
1367C42—24no—
1368C42—24no—
1369C42—22no—
1370C42—22no—
1371C42—42no—
1372C42—44no—
1373C42—44no—
1374C42—42no—
1375C42—42no—
1376C42—44no—
1377C42—41no—
1378C42—42no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—24no—
1389C23—24no—
1390C23—22no—
1391C23—22no—
1392C23—24no—
1393C23—24no—
1394C23—24no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—24no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—24no—
1405C23—22no—
1406C23—24no—
1407C23—24no—
1408C23—24no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—24no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—48no—
1417C23—84no—
1418C23—84no—
1419C23—88no—
1420C23—88no—
1421C23—88no—
1422C23—84no—
1423C23—84no—
1424C23—84no—
1425C23—84no—
1426C23—88no—
1427C23—88no—
1428C23—164no—
1429C23—164no—
1430C23#58514yes—
1431C23C2611yescharacteristic
1432Q8—44no—
1433Q8—48no—
1434Q8—84no—
1435Q8—82no—
1436Q8—84no—
1437D4—416no—
1438D4—44no—
1439D4—44no—
1440D4—48no—
1441D4—44no—
1442D4—88no—
1443D4—84no—
1444D4—82no—
1445D4—88no—
1446D4—88no—
1447D4—88no—
1448D4—84no—
1449D4—84no—
1450D4—82no—
1451D4—88no—
1452D4—84no—
1453D4—88no—
1454D4—88no—
1455D4—84no—
1456D4—88no—
1457D4—88no—
1458D4—88no—
1459D4—88no—
1460D4—162no—
1461D4—164no—
1462D4—162no—
1463C2×C4—21no—
1464C2×C4—24no—
1465C2×C4—24no—
1466C2×C4—21no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—24no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—416no—
1522C2×C4—48no—
1523C2×C4—48no—
1524C2×C4—48no—
1525C2×C4—84no—
1526C2×C4—88no—
1527C2×C4—84no—
1528C2×C4—84no—
1529C2×C4—84no—
1530C2×C4—84no—
1531C2×C4—88no—
1532C2×C4—88no—
1533C2×C4C2×H(5,𝔽2)14yes—
1534C2×C4C2×H(5,𝔽2)18yes—
1535C2×C4C2×H(5,𝔽2)12yes—
1536C2×C4C2×H(5,𝔽2)14yes—
1537C2×C4#58512yes—
1538C22—24no—
1539C22—24no—
1540C22—24no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22—44no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—44no—
1553C22—42no—
1554C22—42no—
1555C22—44no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—44no—
1560C22—42no—
1561C22—44no—
1562C22—44no—
1563C22—44no—
1564C22—42no—
1565C22—42no—
1566C22—44no—
1567C22—42no—
1568C22—44no—
1569C22—44no—
1570C22—42no—
1571C22—42no—
1572C22—44no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—816no—
1577C22—1616no—
1578C22C22×H(5,𝔽2)11yescharacteristic
1579C22C22×H(5,𝔽2)12yes—
1580C22C2×#58512yes—
1581C22C2×#58511yescharacteristic
1582C22H(7,𝔽2)11yescharacteristic
1583C4—24no—
1584C4—28no—
1585C4—22no—
1586C4—42no—
1587C4—42no—
1588C4—42no—
1589C4—44no—
1590C4—42no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—42no—
1595C4—42no—
1596C4—44no—
1597C4—42no—
1598C4—44no—
1599C4—42no—
1600C4—42no—
1601C4—42no—
1602C4—44no—
1603C4—41no—
1604C4—41no—
1605C4#354914yes—
1606C2—44no—
1607C2—82no—
1608C2—82no—
1609C2—82no—
1610C2—84no—
1611C2—82no—
1612C2C2×#354911yescharacteristic
1613C2#6289612yes—
1614C2#6289911yescharacteristic
1615C2#6301711yescharacteristic
1616C2#6301912yes—
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. #59945C2semidirect
2. #59004C2semidirect
3. #59003C2semidirect
4. #58999C2semidirect
5. #55351C2semidirect
6. #55293C2semidirect
7. #53938C2semidirect
8. #53422C2semidirect
9. #52301C2semidirect
10. #49922C2semidirect
11. #49899C2semidirect
12. #49590C2semidirect
13. #46084C2semidirect
14. #46054C2semidirect
15. #45408C2semidirect
16. #45402C2semidirect
17. #45384C2semidirect
18. #45020C2semidirect
19. #42889C2semidirect
20. #42683C2semidirect
21. #42680C2semidirect
22. #42484C2semidirect
23. #39887C2semidirect
24. #39863C2semidirect
25. #39467C2semidirect
26. #37334C2semidirect
27. #37216C2semidirect
28. #36597C2semidirect
29. #36268C2semidirect
30. C2×#559C22semidirect
31. C2×#556C22semidirect
32. C2×#556C22semidirect
33. C2×#552C22semidirect
34. C2×#550C22semidirect
35. C2×#547C22semidirect
38. C2×#525C22semidirect
39. C2×#525C22semidirect
40. C22×#121C22semidirect
41. #2861C22semidirect
42. #2860C22semidirect
43. #2858C22semidirect
44. #2858C22semidirect
45. #2848C22semidirect
46. #2828C22semidirect
47. #2828C22semidirect
48. #2818C22semidirect
49. #2816C22semidirect
50. #2813C22semidirect
51. #2813C22semidirect
52. #2809C22semidirect
53. #2804C22semidirect
54. #2804C22semidirect
55. #2803C22semidirect
56. #2803C22semidirect
57. #2785C22semidirect
59. #2782C22semidirect
60. #2782C22semidirect
61. #2782C22semidirect
62. #2782C22semidirect
63. #2781C22semidirect
64. #2769C22semidirect
65. #2756C22semidirect
66. #2756C22semidirect
67. #2753C22semidirect
68. #2753C22semidirect
69. #2753C22semidirect
70. #2744C22semidirect
71. #2737C22semidirect
72. #2733C22semidirect
73. #2733C22semidirect
74. #2733C22semidirect
75. #2718C22semidirect
76. #2718C22semidirect
77. #2718C22semidirect
78. #2718C22semidirect
79. #2714C22semidirect
80. #2714C22semidirect
81. #2714C22semidirect
82. #2714C22semidirect
83. #2712C22semidirect
84. #2711C22semidirect
85. #2711C22semidirect
86. #2710C22semidirect
87. #2710C22semidirect
88. #2706C22semidirect
89. #2706C22semidirect
90. #2699C22semidirect
91. #2699C22semidirect
92. #2686C22semidirect
93. #2685C22semidirect
94. #2685C22semidirect
95. #2685C22semidirect
96. #2685C22semidirect
98. #2684C22semidirect
99. #2684C22semidirect
100. #2684C22semidirect
101. #2682C22semidirect
105. #2678C22semidirect
106. #2678C22semidirect
107. #2676C22semidirect
108. #2676C22semidirect
109. #2673C22semidirect
110. #2671C22semidirect
111. #2670C22semidirect
112. #2670C22semidirect
113. #2670C22semidirect
114. #2670C22semidirect
115. #2669C22semidirect
116. #2658C22semidirect
117. #2657C22semidirect
118. #2636C22semidirect
119. #2636C22semidirect
120. #2635C22semidirect
121. #2635C22semidirect
122. #2633C22semidirect
123. #2626C22semidirect
124. #2624C22semidirect
125. #2623C22semidirect
126. #2619C22semidirect
128. #2613C22semidirect
129. #2610C22semidirect
131. #2603C22semidirect
132. #2601C22semidirect
133. #2601C22semidirect
135. #2598C22semidirect
136. #2593C22semidirect
137. #2592C22semidirect
138. #2584C22semidirect
139. #2580C22semidirect
141. #2572C22semidirect
142. #2568C22semidirect
143. #2566C22semidirect
144. #2556C22semidirect
145. #2554C22semidirect
146. #2554C22semidirect
147. #2554C22semidirect
148. #2548C22semidirect
149. #2548C22semidirect
150. #2546C22semidirect
151. #2545C22semidirect
152. #2544C22semidirect
153. #2542C22semidirect
158. #2540C22semidirect
159. #2529C22semidirect
160. #2526C22semidirect
161. #2526C22semidirect
162. #2519C22semidirect
163. #2513C22semidirect
164. #2495C22semidirect
165. #2492C22semidirect
166. #2491C22semidirect
167. #2491C22semidirect
168. #2490C22semidirect
169. #2490C22semidirect
170. #2490C22semidirect
171. #2489C22semidirect
172. #2487C22semidirect
173. #2482C22semidirect
174. #2482C22semidirect
175. #2464C22semidirect
176. #2464C22semidirect
177. #2461C22semidirect
178. #2456C22semidirect
179. #2456C22semidirect
180. #2455C22semidirect
181. #2445C22semidirect
182. #2443C22semidirect
183. #2439C22semidirect
184. #2435C22semidirect
185. #2435C22semidirect
186. #2433C22semidirect
187. #2433C22semidirect
188. #2432C22semidirect
189. #2432C22semidirect
190. #2432C22semidirect
191. #2431C22semidirect
192. #2431C22semidirect
193. #2431C22semidirect
194. #2429C22semidirect
195. #2429C22semidirect
196. #2429C22semidirect
197. #2428C22semidirect
198. #2428C22semidirect
199. #2428C22semidirect
200. #2428C22semidirect
201. #2427C22semidirect
202. #2426C22semidirect
203. #2426C22semidirect
204. #2426C22semidirect
205. #2426C22semidirect
206. #2426C22semidirect
208. #2424C22semidirect
209. #2420C22semidirect
210. #2418C22semidirect
212. #2416C22semidirect
213. #2415C22semidirect
216. #2414C22semidirect
217. #2414C22semidirect
218. #2411C22semidirect
219. #2410C22semidirect
222. #2408C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
227. #2398C22semidirect
228. #2398C22semidirect
229. #2398C22semidirect
230. #2379C22semidirect
231. #2375C22semidirect
232. #2363C22semidirect
233. #2363C22semidirect
234. #2363C22semidirect
235. #2362C22semidirect
236. #2361C22semidirect
237. #2361C22semidirect
238. #2360C22semidirect
239. #2358C22semidirect
240. #2347C22semidirect
241. #2346C22semidirect
242. #2344C22semidirect
244. #2326C22semidirect
245. #2324C22semidirect
246. #2320C22semidirect
247. #2319C22semidirect
248. #2319C22semidirect
249. #2319C22semidirect
250. #2309C22semidirect
251. C4×#124C22semidirect
252. C4×#124C22semidirect
253. C4×#124C22semidirect
255. C4×#120C22semidirect
256. C4×#120C22semidirect
257. #2293C22semidirect
258. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#599452
#590042
#590032
#589992
#553512
#552932
#539382
#534222
#523012
#499222
#498992
#495902
#460842
#460542
#454082
#454022
#453842
#450202
#428892
#426832
#426802
#424842
#398872
#398632
#394672
#373342
#372162
#365972
#362682