Finite Group Databasebeta

← #7715327

Subgroups — #7715327

Order 512.

5474 conjugacy classes of subgroups.

The subgroup lattice has 1596 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#49799C214yesmaximal, complemented
2#49763C214yesmaximal, complemented
3#48248C214yesmaximal, complemented
4#48197C214yesmaximal, complemented
5#47631C214yesmaximal, complemented
6#47108C214yesmaximal, complemented
7#46792C214yesmaximal, complemented
8#46561C214yesmaximal, complemented
9#39810C212yesmaximal, complemented
10#39770C211yesmaximal, characteristic, complemented
11#39766C211yesmaximal, characteristic, complemented
12#39419C212yesmaximal, complemented
13#39386C211yesmaximal, characteristic, complemented
14#39382C211yesmaximal, characteristic, complemented
15#37772C212yesmaximal, complemented
16#37748C212yesmaximal, complemented
17#37701C211yesmaximal, characteristic, complemented
18#37700C211yesmaximal, characteristic, complemented
19#37694C211yesmaximal, characteristic, complemented
20#37694C211yesmaximal, characteristic, complemented
21#37587C212yesmaximal, complemented
22#37290C212yesmaximal, complemented
23#37278C212yesmaximal, complemented
24#35337C211yesmaximal, characteristic, complemented
25#35332C211yesmaximal, characteristic, complemented
26#35331C211yesmaximal, characteristic, complemented
27#35293C211yesmaximal, characteristic, complemented
28#35278C211yesmaximal, characteristic, complemented
29#35274C211yesmaximal, characteristic, complemented
30#34438C212yesmaximal, complemented
31#34081C211yesmaximal, characteristic, complemented
32C2×#542C2212yescomplemented
33C2×#541C2211yescharacteristic, complemented
34C2×#540C2211yescharacteristic
35C2×#540C2211yescharacteristic
36C2×#540C2211yescharacteristic, complemented
37C2×#535C2212yes—
38C2×#535C2212yes—
39C2×#532C2211yescharacteristic
40C2×#532C2212yescomplemented
41C22×#127C2211yescharacteristic
42C2×#529C2211yescharacteristic
43#2867C2211yescharacteristic
44#2867C2211yescharacteristic
45#2862C2211yescharacteristic, complemented
46#2859C2211yescharacteristic, complemented
47#2858C2211yescharacteristic
48#2858C2211yescharacteristic
49#2858C2212yescomplemented
50#2856C2212yescomplemented
51#2851C2211yescharacteristic
52#2851C2211yescharacteristic
53#2850C2212yescomplemented
54#2850C2212yescomplemented
55#2829C2214yescomplemented
56#2828C2214yescomplemented
57#2797C2214yescomplemented
58#2796C2214yescomplemented
59#2756C2214yescomplemented
60#2753C2214yescomplemented
61#2752C2214yescomplemented
62#2751C2214yescomplemented
63#2749C2214yescomplemented
64#2733C2214yescomplemented
65#2730C2214yescomplemented
66#2714C2214yes—
67#2714C2214yescomplemented
68#2714C2214yescomplemented
69#2714C2214yescomplemented
70#2712C2214yescomplemented
71#2711C2214yes—
72#2711C2214yescomplemented
73#2710C2214yescomplemented
74#2709C2214yes—
75#2709C2214yes—
76#2709C2214yescomplemented
77#2709C2214yescomplemented
78#2708C2214yes—
79#2706C2214yescomplemented
80#2703C2214yescomplemented
81#2703C2214yescomplemented
82#2699C2214yescomplemented
83#2694C2214yescomplemented
84#2688C2214yes—
85#2688C2214yescomplemented
86#2688C2214yescomplemented
87#2686C2214yescomplemented
88#2685C2214yes—
89#2685C2214yes—
90#2684C2214yes—
91#2678C2214yes—
92#2676C2214yescomplemented
93#2673C2214yes—
94#2673C2214yes—
95#2673C2214yescomplemented
96#2673C2214yescomplemented
97#2673C2214yescomplemented
98#2673C2214yescomplemented
99#2672C2214yescomplemented
100#2671C2214yescomplemented
101#2670C2214yes—
102#2670C2214yes—
103#2669C2214yes—
104#2668C2214yes—
105#2661C2214yescomplemented
106#2657C2212yes—
107#2657C2212yes—
108#2648C2214yescomplemented
109#2647C2212yescomplemented
110#2642C2211yescharacteristic, complemented
111#2641C2211yescharacteristic
112#2641C2211yescharacteristic
113#2641C2211yescharacteristic, complemented
114#2640C2212yescomplemented
115#2635C2214yescomplemented
116#2630C2214yescomplemented
117#2628C2212yes—
118#2621C2211yescharacteristic, complemented
119#2620C2212yescomplemented
120#2619C2211yescharacteristic
121#2619C2211yescharacteristic
122#2619C2211yescharacteristic, complemented
123#2619C2212yescomplemented
124#2619C2212yescomplemented
125#2602C2214yescomplemented
126#2595C2214yescomplemented
127#2592C2212yescomplemented
128#2589C2214yes—
129#2589C2214yes—
130#2588C2214yescomplemented
131#2588C2214yescomplemented
132#2560C2214yescomplemented
133#2560C2214yescomplemented
134#2559C2214yescomplemented
135#2559C2214yescomplemented
136#2559C2214yescomplemented
137#2558C2214yescomplemented
138#2558C2214yescomplemented
139#2557C2214yescomplemented
140#2557C2214yescomplemented
141#2557C2214yescomplemented
142#2557C2214yescomplemented
143#2555C2214yescomplemented
144#2554C2214yescomplemented
145#2548C2212yescomplemented
146#2544C2214yescomplemented
147#2544C2214yescomplemented
148#2544C2214yescomplemented
149#2541C2214yes—
150#2541C2214yes—
151#2541C2214yescomplemented
152#2541C2212yescomplemented
153#2540C2212yescomplemented
154#2539C2214yes—
155#2516C2214yescomplemented
156#2490C2214yescomplemented
157#2472C2214yes—
158#2467C2214yescomplemented
159#2467C2214yescomplemented
160#2464C2214yescomplemented
161#2460C2214yescomplemented
162#2459C2214yescomplemented
163#2457C2214yescomplemented
164#2456C2214yescomplemented
165#2448C2212yescomplemented
166#2448C2212yescomplemented
167#2447C2212yescomplemented
168#2447C2212yescomplemented
169#2445C2212yes—
170#2445C2212yes—
171#2445C2214yescomplemented
172#2445C2214yescomplemented
173#2445C2214yescomplemented
174#2445C2212yescomplemented
175#2445C2212yescomplemented
176#2445C2214yescomplemented
177#2444C2214yescomplemented
178#2444C2214yescomplemented
179#2433C2214yes—
180#2433C2214yes—
181#2431C2214yescomplemented
182#2431C2214yescomplemented
183#2431C2214yescomplemented
184#2430C2214yescomplemented
185#2428C2212yes—
186#2428C2212yes—
187#2428C2214yescomplemented
188#2428C2214yescomplemented
189#2428C2212yescomplemented
190#2428C2212yescomplemented
191#2427C2212yescomplemented
192#2427C2212yescomplemented
193#2426C2212yescomplemented
194#2426C2212yescomplemented
195#2419C2214yescomplemented
196#2418C2214yes—
197#2410C2214yes—
198#2410C2214yes—
199#2408C2212yes—
200#2408C2212yes—
201#2407C2212yes—
202#2407C2212yes—
203#2407C2214yescomplemented
204#2405C2214yes—
205#2405C2214yes—
206#2404C2214yes—
207#2377C2214yescomplemented
208#2375C2214yes—
209#2367C2212yescomplemented
210#2367C2212yescomplemented
211#2366C2212yescomplemented
212#2366C2212yescomplemented
213#2364C2214yescomplemented
214#2358C2214yes—
215#2341C2212yes—
216#2339C2212yes—
217D4×C22⋊C4C2212yes—
218D4×C22⋊C4C2212yes—
219#2337C2212yes—
220#2336C2212yescomplemented
221#2335C2212yes—
222#2335C2212yescomplemented
223#2334C2212yes—
224#2334C2212yescomplemented
225#2333C2212yes—
226#2333C2214yescomplemented
227#2332C2212yescomplemented
228#2331C2212yescomplemented
229#2328C2211yescharacteristic
230#2328C2211yescharacteristic
231#2328C2211yescharacteristic, complemented
232#2328C2212yescomplemented
233#2328C2212yescomplemented
234#2327C2211yescharacteristic, complemented
235#2326C2212yescomplemented
236#2325C2214yescomplemented
237#2321C2214yes—
238#2321C2214yes—
239#2314C2212yes—
240C4×#127C2212yescomplemented
241C4×#125C2211yescharacteristic, complemented
242C4×#125C2211yescharacteristic, complemented
243C4×#124C2212yescomplemented
244C4×#124C2212yescomplemented
245#2298C2211yescharacteristic
246#2298C2211yescharacteristic, complemented
247#2295C2211yescharacteristic, complemented
248#2295C2211yescharacteristic, complemented
249#2293C2211yescharacteristic
250#2293C2211yescharacteristic, complemented
251#2290C2211yescharacteristic
252#2290C2211yescharacteristic
253#2290C2211yescharacteristic
254#2290C2211yescharacteristic, complemented
255#2283C2211yescharacteristic, complemented
256C4×#117C2211yescharacteristic
257C4×#117C2211yescharacteristic, complemented
258C4×#117C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C22×#41C2314yes—
261C23×D4C2312yes—
262C23×D4C2314yes—
263#542—48no—
264#541—44no—
265#540—44no—
266#540—44no—
267#540—44no—
268#535—216no—
269#535—48no—
270#532—44no—
271#532—48no—
272C2×C4⋊Q8C2311yescharacteristic
273C2×C4⋊Q8C2312yes—
274C2×#127—44no—
275C2×#127C2312yes—
276C2×#127C2311yescharacteristic
277C2×#127C2311yescharacteristic
278C2×#127C2312yes—
279C2×#127C2311yescharacteristic
280C2×#127C2312yes—
281C2×#127C2312yes—
282C2×#127C2312yes—
283C2×#127C2314yes—
284C2×#127C2314yes—
285C2×#127C2314yes—
286C2×#127C2314yes—
287C2×#127C2314yes—
288C2×#127C2314yes—
289#529—28no—
290C2×#126C2311yescharacteristic
291C2×#126C2311yescharacteristic
292C2×#126C2314yes—
293C2×#126C2314yes—
294C2×#125C2311yescharacteristic
295C2×#125C2311yescharacteristic
296C2×#125C2311yescharacteristic
297C2×#125C2314yes—
298C2×#124C2312yes—
299C2×#124C2312yes—
300C2×#124C2311yescharacteristic
301C2×#124C2312yes—
302C2×#124C2312yes—
303C2×#124C2312yes—
304C2×#124C2314yes—
305C2×#124C2314yes—
306C2×#124C2314yes—
307C2×#124C2314yes—
308C2×#124C2314yes—
309C2×#123C2311yescharacteristic
310C2×#123C2311yescharacteristic
311C2×#123C2314yes—
312C2×#123C2314yes—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×#121C2314yes—
324C2×#121C2311yescharacteristic
325C2×#121C2314yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
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×#120C2314yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2314yes—
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C22×C22⋊C4C2314yes—
376C22×C22⋊C4C2314yes—
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2311yescharacteristic
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#399C2314yes—
386#399C2314yes—
387#399C2314yes—
388#399C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#397C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#396C2314yes—
405#396C2314yes—
406#396C2314yes—
407#396C2314yes—
408#395C2314yes—
409#394C2314yes—
410#394C2314yes—
411#394C2314yes—
412#394C2314yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#394C2314yes—
418#394C2314yes—
419#394C2314yes—
420#394C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
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#393C2314yes—
447#393C2314yes—
448#393C2314yes—
449#393C2314yes—
450#392C2314yes—
451#392C2314yes—
452#392C2314yes—
453#392C2314yes—
454#392C2314yes—
455#392C2314yes—
456#392C2314yes—
457#392C2314yes—
458#392C2314yes—
459#392C2314yes—
460#392C2314yes—
461#392C2314yes—
462#392C2314yes—
463#392C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#392C2314yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#392C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2312yes—
479#391C2312yes—
480#391C2314yes—
481#391C2314yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#390C2314yes—
487#390C2314yes—
488#390C2314yes—
489#390C2312yes—
490#390C2312yes—
491#390C2314yes—
492#390C2314yes—
493#390C2314yes—
494#390C2314yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2314yes—
506#390C2312yes—
507#390C2314yes—
508#390C2314yes—
509#390C2314yes—
510#390C2314yes—
511#390C2314yes—
512#390C2314yes—
513#390C2312yes—
514#390C2314yes—
515#390C2314yes—
516#390C2314yes—
517#390C2314yes—
518#390C2314yes—
519#390C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2314yes—
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2312yes—
537#388C2312yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2312yes—
544#388C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2312yes—
548#388C2312yes—
549#388C2314yes—
550#388C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2312yes—
573#387C2312yes—
574#387C2314yes—
575#387C2314yes—
576#387C2312yes—
577#387C2312yes—
578#387C2312yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2312yes—
583#387C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2312yes—
610#386C2312yes—
611#386C2312yes—
612#386C2312yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2312yes—
639#385C2312yes—
640#385C2312yes—
641#385C2312yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#384C2312yes—
647#383C2312yes—
648#382C2311yescharacteristic
649#382C2311yescharacteristic
650#382C2312yes—
651#382C2312yes—
652#382C2312yes—
653#381C2312yes—
654#381C2314yes—
655#381C2314yes—
656#381C2314yes—
657#380C2312yes—
658#380C2312yes—
659#380C2314yes—
660#380C2312yes—
661#380C2314yes—
662#380C2314yes—
663#379C2314yes—
664#379C2314yes—
665#379C2314yes—
666#379C2314yes—
667C4×C4⋊C4C2312yes—
668C4×C4⋊C4C2312yes—
669C4×C4⋊C4C2312yes—
670C4×C4⋊C4C2312yes—
671C4×C4⋊C4C2314yes—
672C4×C4⋊C4C2314yes—
673C4×C4⋊C4C2312yes—
674C4×C4⋊C4C2312yes—
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2311yescharacteristic
678C4×C4⋊C4C2311yescharacteristic
679C4×C4⋊C4C2311yescharacteristic
680C4×C4⋊C4C2311yescharacteristic
681C4×C4⋊C4C2311yescharacteristic
682C4×C4⋊C4C2311yescharacteristic
683C4×C22⋊C4C2314yes—
684C4×C22⋊C4C2314yes—
685C4×C22⋊C4C2314yes—
686C4×C22⋊C4C2312yes—
687C4×C22⋊C4C2312yes—
688C4×C22⋊C4C2312yes—
689C4×C22⋊C4C2314yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2312yes—
692C4×C22⋊C4C2312yes—
693C4×C22⋊C4C2312yes—
694C4×C22⋊C4C2311yescharacteristic
695C4×C22⋊C4C2311yescharacteristic
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2311yescharacteristic
698C4×C22⋊C4C2311yescharacteristic
699C4×C22⋊C4C2311yescharacteristic
700C4×C22⋊C4C2311yescharacteristic
701C4×C22⋊C4C2314yes—
702#376C2311yescharacteristic
703#376C2311yescharacteristic
704#376C2311yescharacteristic
705#376C2311yescharacteristic
706#376C2311yescharacteristic
707#376C2311yescharacteristic
708C2×#95C2314yes—
709C43C2311yescharacteristic
710C43C2311yescharacteristic
711C43C2311yescharacteristic
712C43C2311yescharacteristic
713C25C2414yes—
714C2×#41—28no—
715C2×#41—44no—
716C2×#41—48no—
717C2×#41—44no—
718C2×#41—84no—
719C2×#41—84no—
720C22×Q8C2412yes—
721C22×Q8C2411yescharacteristic
722C22×Q8C2414yes—
723C22×D4—28no—
724C22×D4—44no—
725C22×D4—48no—
726C22×D4—44no—
727C22×D4—84no—
728C22×D4—84no—
729C22×D4C2412yes—
730C22×D4C2412yes—
731C22×D4C2412yes—
732C22×D4C2411yescharacteristic
733C22×D4C2411yescharacteristic
734C22×D4C2414yes—
735C22×D4C2414yes—
736C22×D4C2414yes—
737C22×D4C2414yes—
738C22×D4C2414yes—
739C22×D4C2414yes—
740C22×D4C2411yescharacteristic
741C22×D4C2414yes—
742C22×D4C2414yes—
743C22×D4C2414yes—
744C22×D4C2414yes—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2414yes—
748C22×D4C2414yes—
749C22×D4C2414yes—
750C22×D4C2414yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C23×C4C2411yescharacteristic
757C23×C4C2411yescharacteristic
758C23×C4C2411yescharacteristic
759C23×C4C2414yes—
760C23×C4C2411yescharacteristic
761C23×C4C2411yescharacteristic
762C23×C4C2412yes—
763C23×C4C2412yes—
764C23×C4C2414yes—
765C23×C4C2414yes—
766C23×C4C2414yes—
767C23×C4C2414yes—
768C23×C4C2414yes—
769C23×C4C2414yes—
770C4⋊Q8—24no—
771C4⋊Q8—28no—
772#127—28no—
773#127—28no—
774#127—24no—
775#127—24no—
776#127—28no—
777#127—24no—
778#127—48no—
779#127—44no—
780#127—44no—
781#127—84no—
782#127—84no—
783#127—84no—
784#127—84no—
785#127—84no—
786#126—24no—
787#126—24no—
788#126—48no—
789#126—48no—
790#125—24no—
791#125—24no—
792#125—24no—
793#125—48no—
794#124—24no—
795#124—28no—
796#124—28no—
797#124—28no—
798#124—48no—
799#124—44no—
800#124—44no—
801#124—48no—
802#124—84no—
803#124—84no—
804#124—84no—
805#123—24no—
806#123—24no—
807#123—48no—
808#123—48no—
809#123—48no—
810#123—48no—
811#123—84no—
812#123—84no—
813#123—84no—
814#123—84no—
815C22⋊Q8—24no—
816C22⋊Q8—48no—
817C22⋊Q8—44no—
818C22⋊Q8—44no—
819#121—216no—
820#121—216no—
821#121—24no—
822#121—48no—
823#121—48no—
824#121—48no—
825#121—48no—
826#121—48no—
827#121—44no—
828#121—44no—
829#121—48no—
830#121—48no—
831#121—44no—
832#121—44no—
833#121—44no—
834#121—44no—
835#121—84no—
836#121—84no—
837#121—84no—
838#121—84no—
839#121—84no—
840#121—84no—
841#120—216no—
842#120—216no—
843#120—48no—
844#120—48no—
845#120—84no—
846#120—84no—
847C4×Q8—24no—
848C4×Q8—44no—
849C4×Q8—44no—
850C4×D4—24no—
851C4×D4—24no—
852C4×D4—24no—
853C4×D4—44no—
854C4×D4—44no—
855C4×D4—48no—
856C4×D4—48no—
857C4×D4—44no—
858C4×D4—44no—
859C4×D4—44no—
860C4×D4—44no—
861C4×D4—84no—
862C4×D4—84no—
863C4×D4—84no—
864C4×D4—84no—
865#117—24no—
866#117—24no—
867#117—24no—
868#117—24no—
869#117—24no—
870#117#4118yescomplemented
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2411yescharacteristic
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C22⋊C4—84no—
910C2×C22⋊C4—84no—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2411yescharacteristic
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2411yescharacteristic
917C2×C22⋊C4C2411yescharacteristic
918C2×C22⋊C4C2411yescharacteristic
919C2×C22⋊C4C2411yescharacteristic
920C2×C22⋊C4C2411yescharacteristic
921C2×C22⋊C4C2411yescharacteristic
922C2×C22⋊C4C2411yescharacteristic
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2411yescharacteristic
981C2×C42—24no—
982C2×C42—24no—
983C2×C42—24no—
984C2×C42C2411yescharacteristic
985C2×C42C2411yescharacteristic
986C2×C42C2411yescharacteristic
987C2×C42C2411yescharacteristic
988C2×C42C2411yescharacteristic
989C2×C42C2411yescharacteristic
990C2×C42C2412yes—
991C2×C42C2412yes—
992C2×C42C2411yescharacteristic
993C2×C42C2411yescharacteristic
994C2×C42C2411yescharacteristic
995C2×C42C2411yescharacteristic
996C2×C42C2412yes—
997C2×C42C2412yes—
998C2×C42C2414yes—
999C2×C42C2414yes—
1000C2×C42C2414yes—
1001C2×C42C2414yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012#95C2412yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2414yes—
1033#95C2412yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2412yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058C24—28no—
1059C24—44no—
1060C24—44no—
1061C24—44no—
1062C24—44no—
1063C24—44no—
1064C24—44no—
1065C24C2514yes—
1066C24C2514yes—
1067C24C2511yescharacteristic
1068C24C2511yescharacteristic
1069C24C2514yes—
1070C24C2511yescharacteristic
1071#41—816no—
1072#41—832no—
1073C2×Q8—24no—
1074C2×Q8—22no—
1075C2×Q8—24no—
1076C2×Q8—24no—
1077C2×Q8—28no—
1078C2×Q8—42no—
1079C2×Q8—44no—
1080C2×Q8—44no—
1081C2×D4—22no—
1082C2×D4—22no—
1083C2×D4—28no—
1084C2×D4—24no—
1085C2×D4—24no—
1086C2×D4—24no—
1087C2×D4—22no—
1088C2×D4—28no—
1089C2×D4—28no—
1090C2×D4—28no—
1091C2×D4—28no—
1092C2×D4—28no—
1093C2×D4—24no—
1094C2×D4—24no—
1095C2×D4—24no—
1096C2×D4—24no—
1097C2×D4—24no—
1098C2×D4—24no—
1099C2×D4—28no—
1100C2×D4—28no—
1101C2×D4—28no—
1102C2×D4—28no—
1103C2×D4—28no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—42no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
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—816no—
1160C2×D4—832no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—28no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—42no—
1185C22×C4—42no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4C2×#4114yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2514yes—
1207C22×C4C2514yes—
1208C22×C4C2514yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2514yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—28no—
1243C4⋊C4—28no—
1244C4⋊C4—28no—
1245C4⋊C4—28no—
1246C4⋊C4—42no—
1247C4⋊C4—42no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4C2×#4114yes—
1263C4⋊C4C2×#4114yes—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—28no—
1273C22⋊C4—28no—
1274C22⋊C4—28no—
1275C22⋊C4—28no—
1276C22⋊C4—24no—
1277C22⋊C4—24no—
1278C22⋊C4—24no—
1279C22⋊C4—24no—
1280C22⋊C4—28no—
1281C22⋊C4—28no—
1282C22⋊C4—42no—
1283C22⋊C4—42no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4C2×#4114yes—
1333C22⋊C4C2×#4114yes—
1334C42—22no—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—22no—
1339C42—24no—
1340C42—24no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—22no—
1346C42—42no—
1347C42—42no—
1348C42—44no—
1349C42—44no—
1350C42—44no—
1351C42—44no—
1352C42—42no—
1353C42—42no—
1354C42—42no—
1355C42—42no—
1356C42—42no—
1357C42—42no—
1358C42C2×#4114yes—
1359C42C2×#4114yes—
1360C42H(5,𝔽2)14yes—
1361C42H(5,𝔽2)14yes—
1362C23—21no—
1363C23—21no—
1364C23—22no—
1365C23—22no—
1366C23—21no—
1367C23—21no—
1368C23—24no—
1369C23—24no—
1370C23—24no—
1371C23—21no—
1372C23—21no—
1373C23—24no—
1374C23—21no—
1375C23—24no—
1376C23—24no—
1377C23—24no—
1378C23—24no—
1379C23—24no—
1380C23—21no—
1381C23—24no—
1382C23—24no—
1383C23—24no—
1384C23—24no—
1385C23—24no—
1386C23—24no—
1387C23—22no—
1388C23—24no—
1389C23—24no—
1390C23—24no—
1391C23—24no—
1392C23—22no—
1393C23—22no—
1394C23—24no—
1395C23—24no—
1396C23—22no—
1397C23—88no—
1398C23—88no—
1399C23—88no—
1400C23—88no—
1401C23—88no—
1402C23—164no—
1403C23—164no—
1404C23C22×#4112yes—
1405C23C2611yescharacteristic
1406Q8—48no—
1407Q8—82no—
1408Q8—88no—
1409D4—48no—
1410D4—48no—
1411D4—48no—
1412D4—88no—
1413D4—88no—
1414D4—82no—
1415D4—88no—
1416D4—88no—
1417D4—88no—
1418D4—88no—
1419D4—88no—
1420D4—88no—
1421D4—88no—
1422D4—88no—
1423D4—82no—
1424D4—82no—
1425D4—88no—
1426D4—88no—
1427D4—88no—
1428D4—88no—
1429D4—88no—
1430D4—164no—
1431D4—164no—
1432D4—164no—
1433D4—164no—
1434D4—164no—
1435D4—164no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—28no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—24no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—24no—
1464C2×C4—24no—
1465C2×C4—21no—
1466C2×C4—24no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—24no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—24no—
1488C2×C4—24no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—48no—
1495C2×C4—48no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—82no—
1499C2×C4—82no—
1500C2×C4—88no—
1501C2×C4—88no—
1502C2×C4—88no—
1503C2×C4—164no—
1504C2×C4—164no—
1505C2×C4—164no—
1506C2×C4—164no—
1507C2×C4C22×#4112yes—
1508C2×C4C22×#4112yes—
1509C2×C4C22×#4112yes—
1510C2×C4C22×#4112yes—
1511C2×C4C22×#4112yes—
1512C2×C4C22×#4112yes—
1513C2×C4C2×H(5,𝔽2)14yes—
1514C2×C4C2×H(5,𝔽2)14yes—
1515C2×C4C2×H(5,𝔽2)12yes—
1516C2×C4C2×H(5,𝔽2)12yes—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—42no—
1521C22—42no—
1522C22—41no—
1523C22—41no—
1524C22—44no—
1525C22—44no—
1526C22—44no—
1527C22—41no—
1528C22—41no—
1529C22—44no—
1530C22—44no—
1531C22—41no—
1532C22—41no—
1533C22—44no—
1534C22—44no—
1535C22—44no—
1536C22—44no—
1537C22—42no—
1538C22—44no—
1539C22—44no—
1540C22—44no—
1541C22—44no—
1542C22—44no—
1543C22—44no—
1544C22—44no—
1545C22—44no—
1546C22—44no—
1547C22—44no—
1548C22—44no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—44no—
1553C22—1616no—
1554C22C23×#4111yescharacteristic
1555C22C22×H(5,𝔽2)11yescharacteristic
1556C22C22×H(5,𝔽2)11yescharacteristic
1557C22H(7,𝔽2)12yes—
1558C22H(7,𝔽2)12yes—
1559C4—22no—
1560C4—22no—
1561C4—22no—
1562C4—22no—
1563C4—22no—
1564C4—24no—
1565C4—24no—
1566C4—41no—
1567C4—41no—
1568C4—44no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—42no—
1574C4—42no—
1575C4—44no—
1576C4—44no—
1577C4—42no—
1578C4—42no—
1579C4—42no—
1580C4—44no—
1581C4—44no—
1582C4—42no—
1583C4#350814yes—
1584C2—42no—
1585C2—81no—
1586C2—81no—
1587C2—84no—
1588C2—84no—
1589C2—84no—
1590C2C2×#350811yescharacteristic
1591C2#6285811yescharacteristic
1592C2#6285811yescharacteristic
1593C2#6287612yes—
1594C2#6287612yes—
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. #49799C2semidirect
2. #49763C2semidirect
3. #48248C2semidirect
4. #48197C2semidirect
5. #47631C2semidirect
6. #47108C2semidirect
7. #46792C2semidirect
8. #46561C2semidirect
9. #39810C2semidirect
10. #39770C2semidirect
11. #39766C2semidirect
12. #39419C2semidirect
13. #39386C2semidirect
14. #39382C2semidirect
15. #37772C2semidirect
16. #37748C2semidirect
17. #37701C2semidirect
18. #37700C2semidirect
19. #37694C2semidirect
20. #37694C2semidirect
21. #37587C2semidirect
22. #37290C2semidirect
23. #37278C2semidirect
24. #35337C2semidirect
25. #35332C2semidirect
26. #35331C2semidirect
27. #35293C2semidirect
28. #35278C2semidirect
29. #35274C2semidirect
30. #34438C2semidirect
31. #34081C2semidirect
32. C2×#542C22semidirect
33. C2×#541C22semidirect
36. C2×#540C22semidirect
40. C2×#532C22semidirect
45. #2862C22semidirect
46. #2859C22semidirect
49. #2858C22semidirect
50. #2856C22semidirect
53. #2850C22semidirect
54. #2850C22semidirect
55. #2829C22semidirect
56. #2828C22semidirect
57. #2797C22semidirect
58. #2796C22semidirect
59. #2756C22semidirect
60. #2753C22semidirect
61. #2752C22semidirect
62. #2751C22semidirect
63. #2749C22semidirect
64. #2733C22semidirect
65. #2730C22semidirect
67. #2714C22semidirect
68. #2714C22semidirect
69. #2714C22semidirect
70. #2712C22semidirect
72. #2711C22semidirect
73. #2710C22semidirect
76. #2709C22semidirect
77. #2709C22semidirect
79. #2706C22semidirect
80. #2703C22semidirect
81. #2703C22semidirect
82. #2699C22semidirect
83. #2694C22semidirect
85. #2688C22semidirect
86. #2688C22semidirect
87. #2686C22semidirect
92. #2676C22semidirect
95. #2673C22semidirect
96. #2673C22semidirect
97. #2673C22semidirect
98. #2673C22semidirect
99. #2672C22semidirect
100. #2671C22semidirect
105. #2661C22semidirect
108. #2648C22semidirect
109. #2647C22semidirect
110. #2642C22semidirect
113. #2641C22semidirect
114. #2640C22semidirect
115. #2635C22semidirect
116. #2630C22semidirect
118. #2621C22semidirect
119. #2620C22semidirect
122. #2619C22semidirect
123. #2619C22semidirect
124. #2619C22semidirect
125. #2602C22semidirect
126. #2595C22semidirect
127. #2592C22semidirect
130. #2588C22semidirect
131. #2588C22semidirect
132. #2560C22semidirect
133. #2560C22semidirect
134. #2559C22semidirect
135. #2559C22semidirect
136. #2559C22semidirect
137. #2558C22semidirect
138. #2558C22semidirect
139. #2557C22semidirect
140. #2557C22semidirect
141. #2557C22semidirect
142. #2557C22semidirect
143. #2555C22semidirect
144. #2554C22semidirect
145. #2548C22semidirect
146. #2544C22semidirect
147. #2544C22semidirect
148. #2544C22semidirect
151. #2541C22semidirect
152. #2541C22semidirect
153. #2540C22semidirect
155. #2516C22semidirect
156. #2490C22semidirect
158. #2467C22semidirect
159. #2467C22semidirect
160. #2464C22semidirect
161. #2460C22semidirect
162. #2459C22semidirect
163. #2457C22semidirect
164. #2456C22semidirect
165. #2448C22semidirect
166. #2448C22semidirect
167. #2447C22semidirect
168. #2447C22semidirect
171. #2445C22semidirect
172. #2445C22semidirect
173. #2445C22semidirect
174. #2445C22semidirect
175. #2445C22semidirect
176. #2445C22semidirect
177. #2444C22semidirect
178. #2444C22semidirect
181. #2431C22semidirect
182. #2431C22semidirect
183. #2431C22semidirect
184. #2430C22semidirect
187. #2428C22semidirect
188. #2428C22semidirect
189. #2428C22semidirect
190. #2428C22semidirect
191. #2427C22semidirect
192. #2427C22semidirect
193. #2426C22semidirect
194. #2426C22semidirect
195. #2419C22semidirect
203. #2407C22semidirect
207. #2377C22semidirect
209. #2367C22semidirect
210. #2367C22semidirect
211. #2366C22semidirect
212. #2366C22semidirect
213. #2364C22semidirect
220. #2336C22semidirect
222. #2335C22semidirect
224. #2334C22semidirect
226. #2333C22semidirect
227. #2332C22semidirect
228. #2331C22semidirect
231. #2328C22semidirect
232. #2328C22semidirect
233. #2328C22semidirect
234. #2327C22semidirect
235. #2326C22semidirect
236. #2325C22semidirect
240. C4×#127C22semidirect
241. C4×#125C22semidirect
242. C4×#125C22semidirect
243. C4×#124C22semidirect
244. C4×#124C22semidirect
246. #2298C22semidirect
247. #2295C22semidirect
248. #2295C22semidirect
250. #2293C22semidirect
254. #2290C22semidirect
255. #2283C22semidirect
257. C4×#117C22semidirect
258. C4×#117C22semidirect
870. #117#41semidirect

Maximal subgroups

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

subgroupindex
#497992
#497632
#482482
#481972
#476312
#471082
#467922
#465612
#398102
#397702
#397662
#394192
#393862
#393822
#377722
#377482
#377012
#377002
#376942
#375872
#372902
#372782
#353372
#353322
#353312
#352932
#352782
#352742
#344382
#340812