Finite Group Databasebeta

← #7715623

Subgroups — #7715623

Order 512.

5566 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#49704C214yesmaximal, complemented
2#49661C214yesmaximal, complemented
3#48114C214yesmaximal, complemented
4#48057C214yesmaximal, complemented
5#47665C212yesmaximal, complemented
6#47663C212yesmaximal, complemented
7#47658C212yesmaximal, complemented
8#47654C212yesmaximal, complemented
9#47179C212yesmaximal, complemented
10#47176C212yesmaximal, complemented
11#47174C212yesmaximal, complemented
12#47171C212yesmaximal, complemented
13#37975C212yesmaximal, complemented
14#37974C212yesmaximal, complemented
15#37853C212yesmaximal, complemented
16#37852C212yesmaximal, complemented
17#37781C212yesmaximal, complemented
18#37780C212yesmaximal, complemented
19#37669C212yesmaximal, complemented
20#37668C212yesmaximal, complemented
21#37514C211yesmaximal, characteristic, complemented
22#37513C211yesmaximal, characteristic, complemented
23#37418C211yesmaximal, characteristic, complemented
24#37325C212yesmaximal, complemented
25#37306C211yesmaximal, characteristic, complemented
26#35325C211yesmaximal, characteristic, complemented
27#35301C211yesmaximal, characteristic, complemented
28#35260C212yesmaximal, complemented
29#35251C212yesmaximal, complemented
30#34410C212yesmaximal, complemented
31#34044C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C2×#542C2212yes—
34C2×#537C2212yes—
35C2×#537C2212yes—
36C2×#533C2211yescharacteristic, complemented
37C2×#532C2211yescharacteristic, complemented
38C2×#525C2212yes—
39C22×#117C2211yescharacteristic
40C22×#117C2211yescharacteristic
41#2857C2212yescomplemented
42#2855C2212yescomplemented
43#2854C2212yescomplemented
44#2850C2212yescomplemented
45#2848C2212yes—
46#2848C2212yes—
47#2847C2212yes—
48#2847C2212yes—
49#2833C2212yescomplemented
50#2832C2212yescomplemented
51#2830C2212yescomplemented
52#2828C2212yescomplemented
53#2811C2212yescomplemented
54#2809C2212yescomplemented
55#2804C2212yescomplemented
56#2803C2214yescomplemented
57#2788C2214yescomplemented
58#2778C2214yescomplemented
59#2760C2214yescomplemented
60#2759C2214yescomplemented
61#2759C2214yescomplemented
62#2758C2214yescomplemented
63#2756C2214yescomplemented
64#2752C2214yescomplemented
65#2751C2214yescomplemented
66#2749C2214yescomplemented
67#2747C2214yescomplemented
68#2746C2214yes—
69#2745C2214yes—
70#2743C2214yescomplemented
71#2742C2214yescomplemented
72#2741C2214yescomplemented
73#2738C2214yes—
74#2737C2214yes—
75#2737C2214yescomplemented
76#2730C2214yescomplemented
77#2728C2212yescomplemented
78#2728C2212yescomplemented
79#2717C2214yescomplemented
80#2711C2214yescomplemented
81#2710C2214yescomplemented
82#2705C2214yescomplemented
83#2704C2214yescomplemented
84#2700C2214yescomplemented
85#2699C2212yescomplemented
86#2699C2212yescomplemented
87#2699C2214yescomplemented
88#2697C2214yes—
89#2696C2214yescomplemented
90#2696C2214yescomplemented
91#2695C2214yescomplemented
92#2692C2214yescomplemented
93#2692C2214yescomplemented
94#2688C2214yescomplemented
95#2688C2214yescomplemented
96#2688C2214yescomplemented
97#2687C2214yescomplemented
98#2684C2214yes—
99#2683C2212yescomplemented
100#2681C2214yescomplemented
101#2678C2214yes—
102#2676C2214yescomplemented
103#2672C2214yescomplemented
104#2670C2214yes—
105#2653C2214yescomplemented
106#2649C2214yescomplemented
107#2635C2214yescomplemented
108#2631C2214yescomplemented
109#2628C2211yescharacteristic
110#2628C2211yescharacteristic
111#2628C2212yescomplemented
112#2628C2211yescharacteristic, complemented
113#2628C2211yescharacteristic, complemented
114#2625C2212yes—
115#2624C2212yes—
116#2621C2211yescharacteristic
117#2621C2211yescharacteristic, complemented
118#2620C2212yescomplemented
119#2619C2211yescharacteristic
120#2619C2211yescharacteristic, complemented
121#2616C2212yes—
122#2616C2212yes—
123#2615C2212yes—
124#2615C2212yes—
125#2611C2212yes—
126#2611C2212yescomplemented
127#2610C2212yes—
128#2610C2214yescomplemented
129#2610C2212yescomplemented
130#2605C2214yescomplemented
131#2599C2212yes—
132#2599C2212yescomplemented
133#2598C2212yes—
134#2598C2212yescomplemented
135#2593C2212yescomplemented
136#2591C2212yescomplemented
137#2586C2212yescomplemented
138#2583C2212yescomplemented
139#2572C2212yescomplemented
140#2572C2214yescomplemented
141#2564C2214yescomplemented
142#2561C2214yes—
143#2561C2212yes—
144#2557C2214yescomplemented
145#2555C2212yescomplemented
146#2539C2212yes—
147#2527C2214yescomplemented
148#2526C2214yescomplemented
149#2516C2214yescomplemented
150#2510C2214yescomplemented
151#2504C2212yescomplemented
152#2503C2212yescomplemented
153#2495C2212yescomplemented
154#2495C2212yescomplemented
155#2494C2212yescomplemented
156#2494C2212yescomplemented
157#2493C2214yescomplemented
158#2492C2212yescomplemented
159#2492C2212yescomplemented
160#2491C2212yescomplemented
161#2491C2212yescomplemented
162#2484C2212yescomplemented
163#2482C2214yes—
164#2482C2212yes—
165#2481C2214yescomplemented
166#2479C2214yescomplemented
167#2477C2214yescomplemented
168#2476C2214yescomplemented
169#2476C2214yescomplemented
170#2474C2214yes—
171#2472C2214yes—
172#2472C2214yes—
173#2471C2214yescomplemented
174#2470C2214yes—
175#2468C2214yescomplemented
176#2467C2214yescomplemented
177#2465C2214yescomplemented
178#2459C2214yes—
179#2457C2214yes—
180#2456C2214yescomplemented
181#2450C2214yescomplemented
182#2450C2214yescomplemented
183#2449C2214yescomplemented
184#2447C2214yes—
185#2440C2212yescomplemented
186#2440C2212yescomplemented
187#2439C2212yescomplemented
188#2439C2212yescomplemented
189#2438C2214yescomplemented
190#2432C2212yescomplemented
191#2431C2212yescomplemented
192#2430C2214yes—
193#2430C2214yes—
194#2430C2214yescomplemented
195#2429C2212yescomplemented
196#2428C2212yescomplemented
197#2427C2212yescomplemented
198#2427C2214yescomplemented
199#2426C2212yescomplemented
200#2426C2214yescomplemented
201#2423C2212yescomplemented
202#2422C2212yescomplemented
203#2421C2212yescomplemented
204#2420C2212yescomplemented
205#2419C2214yes—
206#2418C2214yes—
207#2418C2214yes—
208#2410C2214yes—
209#2410C2214yes—
210#2409C2214yes—
211#2408C2214yes—
212#2407C2214yes—
213#2407C2214yes—
214#2407C2214yescomplemented
215#2406C2212yescomplemented
216#2404C2212yes—
217#2377C2214yescomplemented
218#2377C2214yescomplemented
219#2364C2214yescomplemented
220#2363C2212yescomplemented
221#2363C2214yescomplemented
222#2362C2212yescomplemented
223#2361C2212yescomplemented
224#2360C2212yescomplemented
225#2345C2212yescomplemented
226#2344C2212yescomplemented
227#2341C2212yescomplemented
228#2339C2212yescomplemented
229#2333C2214yescomplemented
230#2332C2214yescomplemented
231#2329C2214yescomplemented
232#2324C2212yes—
233#2324C2214yescomplemented
234#2324C2212yescomplemented
235#2324C2212yescomplemented
236#2323C2212yes—
237#2323C2212yescomplemented
238#2323C2212yescomplemented
239#2314C2212yes—
240#2311C2212yes—
241#2311C2211yescharacteristic
242#2311C2211yescharacteristic
243#2311C2211yescharacteristic
244#2311C2211yescharacteristic
245#2311C2212yes—
246#2311C2212yes—
247#2311C2212yes—
248#2310C2211yescharacteristic
249#2310C2211yescharacteristic
250#2309C2211yescharacteristic
251#2309C2211yescharacteristic
252#2308C2212yes—
253#2308C2212yes—
254C4×C22⋊Q8C2212yescomplemented
255C4×#121C2212yescomplemented
256#2297C2211yescharacteristic
257#2297C2212yes—
258#2297C2212yes—
259#2297C2211yescharacteristic
260#2297C2211yescharacteristic
261#2297C2211yescharacteristic
262#2283C2211yescharacteristic, complemented
263#2283C2211yescharacteristic, complemented
264#2280C2212yes—
265#2280C2212yes—
266C2×#380C2212yes—
267C22×#41—28no—
268C22×#41—44no—
269C22×#41—44no—
270C22×#41C2312yes—
271C22×#41C2311yescharacteristic
272C22×#41C2312yes—
273C22×#41C2311yescharacteristic
274C22×#41C2311yescharacteristic
275C22×#41C2312yes—
276C22×#41C2311yescharacteristic
277C22×#41C2312yes—
278C23×Q8C2311yescharacteristic
279C23×D4C2312yes—
280C23×D4C2311yescharacteristic
281C24×C4C2311yescharacteristic
282C24×C4C2312yes—
283#542—48no—
284#537—216no—
285#537—48no—
286#533—44no—
287#532—44no—
288C2×C4⋊Q8C2312yes—
289C2×C4⋊Q8C2311yescharacteristic
290C2×C4⋊Q8C2311yescharacteristic
291C2×C4⋊Q8C2311yescharacteristic
292C2×#127C2311yescharacteristic
293C2×#126C2314yes—
294C2×#125C2312yes—
295C2×#124C2312yes—
296C2×#124C2312yes—
297C2×#124C2314yes—
298C2×#124C2314yes—
299C2×#124C2314yes—
300#525—48no—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2314yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2314yes—
314C2×C22⋊Q8C2314yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×#121C2312yes—
319C2×#121C2314yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#120C2314yes—
333C2×#120C2314yes—
334C2×#120C2314yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2314yes—
342C2×C4×D4C2314yes—
343C2×C4×D4C2314yes—
344C2×C4×D4C2314yes—
345C2×#117—44no—
346C2×#117—44no—
347C2×#117C2312yes—
348C2×#117C2311yescharacteristic
349C2×#117C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2311yescharacteristic
354C2×#117C2312yes—
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2312yes—
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2312yes—
363C2×#117C2314yes—
364C22×C4⋊C4C2312yes—
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C22⋊C4C2311yescharacteristic
370C22×C22⋊C4C2311yescharacteristic
371C22×C22⋊C4C2312yes—
372C22×C22⋊C4C2314yes—
373C22×C42C2311yescharacteristic
374C22×C42C2311yescharacteristic
375C22×C42C2311yescharacteristic
376C22×C42C2311yescharacteristic
377#401C2314yes—
378#401C2314yes—
379#400C2314yes—
380#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2312yes—
386#400C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#399C2314yes—
393#399C2312yes—
394#399C2312yes—
395#399C2312yes—
396#399C2312yes—
397#399C2314yes—
398#399C2314yes—
399#398C2312yes—
400#398C2312yes—
401#398C2314yes—
402#398C2312yes—
403#398C2312yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#397C2312yes—
409#397C2312yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2312yes—
417#397C2312yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#395C2312yes—
432#395C2312yes—
433#395C2312yes—
434#395C2314yes—
435#395C2314yes—
436#395C2314yes—
437#395C2312yes—
438#395C2314yes—
439#395C2314yes—
440#394C2312yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2312yes—
446#394C2314yes—
447#394C2312yes—
448#394C2312yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#393C2312yes—
464#393C2314yes—
465#393C2312yes—
466#393C2312yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2312yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#392C2314yes—
477#392C2314yes—
478#392C2312yes—
479#392C2312yes—
480#392C2312yes—
481#392C2314yes—
482#392C2312yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2311yescharacteristic
498#391C2311yescharacteristic
499#391C2311yescharacteristic
500#391C2311yescharacteristic
501#391C2314yes—
502#391C2314yes—
503#391C2314yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2314yes—
508#391C2312yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2311yescharacteristic
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#390C2312yes—
523#390C2311yescharacteristic
524#390C2314yes—
525#390C2314yes—
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2314yes—
534#390C2314yes—
535#390C2312yes—
536#390C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
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#388C2314yes—
567#388C2314yes—
568#388C2314yes—
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#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#386C2312yes—
604#386C2312yes—
605#386C2312yes—
606#386C2312yes—
607#386C2312yes—
608#386C2312yes—
609#386C2312yes—
610#386C2312yes—
611#386C2312yes—
612#386C2312yes—
613#386C2312yes—
614#386C2312yes—
615#386C2312yes—
616#386C2312yes—
617#386C2312yes—
618#386C2312yes—
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#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#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#384C2312yes—
666#383C2314yes—
667#383C2314yes—
668#383C2312yes—
669#383C2312yes—
670#382C2312yes—
671#382C2311yescharacteristic
672#382C2311yescharacteristic
673#382C2311yescharacteristic
674#382C2311yescharacteristic
675#381C2314yes—
676#381C2314yes—
677#381C2314yes—
678#381C2312yes—
679#381C2312yes—
680#381C2312yes—
681#381C2312yes—
682#381C2314yes—
683#381C2314yes—
684#381C2314yes—
685#381C2312yes—
686#381C2312yes—
687#380C2312yes—
688#380C2314yes—
689#380C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2314yes—
707#380C2314yes—
708#380C2312yes—
709#380C2312yes—
710#380C2314yes—
711#380C2314yes—
712#380C2314yes—
713#379C2312yes—
714#379C2314yes—
715#379C2314yes—
716#379C2312yes—
717#379C2312yes—
718#379C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2314yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2314yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2312yes—
739C4×C22⋊C4C2312yes—
740C4×C22⋊C4C2312yes—
741#376C2312yes—
742#376C2312yes—
743C2×#95C2314yes—
744C2×#95C2314yes—
745C25C2411yescharacteristic
746C25C2412yes—
747C2×#41—24no—
748C2×#41—28no—
749C2×#41—24no—
750C2×#41—28no—
751C2×#41—24no—
752C2×#41—28no—
753C2×#41—28no—
754C2×#41—42no—
755C2×#41—42no—
756C2×#41—44no—
757C2×#41—42no—
758C2×#41—44no—
759C2×#41—42no—
760C2×#41—42no—
761C2×#41—42no—
762C2×#41—42no—
763C2×#41—42no—
764C2×#41—44no—
765C2×#41—44no—
766C2×#41—44no—
767C2×#41—44no—
768C2×#41—464no—
769C2×#41—84no—
770C2×#41#4118yescomplemented
771C22×Q8—24no—
772C22×Q8—42no—
773C22×Q8—42no—
774C22×Q8C2412yes—
775C22×Q8C2412yes—
776C22×Q8C2411yescharacteristic
777C22×Q8C2412yes—
778C22×Q8C2414yes—
779C22×Q8C2412yes—
780C22×Q8C2411yescharacteristic
781C22×D4—24no—
782C22×D4—28no—
783C22×D4—42no—
784C22×D4—42no—
785C22×D4—44no—
786C22×D4—44no—
787C22×D4C2412yes—
788C22×D4C2412yes—
789C22×D4C2412yes—
790C22×D4C2412yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2412yes—
797C22×D4C2411yescharacteristic
798C22×D4C2414yes—
799C22×D4C2412yes—
800C22×D4C2414yes—
801C22×D4C2412yes—
802C22×D4C2412yes—
803C22×D4C2411yescharacteristic
804C23×C4—24no—
805C23×C4—24no—
806C23×C4—24no—
807C23×C4—28no—
808C23×C4—28no—
809C23×C4—44no—
810C23×C4C2411yescharacteristic
811C23×C4C2411yescharacteristic
812C23×C4C2411yescharacteristic
813C23×C4C2412yes—
814C23×C4C2412yes—
815C23×C4C2412yes—
816C23×C4C2412yes—
817C23×C4C2412yes—
818C23×C4C2411yescharacteristic
819C23×C4C2411yescharacteristic
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2414yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2414yes—
827C23×C4C2412yes—
828C23×C4C2414yes—
829C23×C4C2412yes—
830C23×C4C2414yes—
831C23×C4C2414yes—
832C4⋊Q8—42no—
833C4⋊Q8—42no—
834C4⋊Q8—44no—
835C4⋊Q8—42no—
836#127—42no—
837#126—48no—
838#125—44no—
839#124—44no—
840#124—44no—
841#124—48no—
842#124—84no—
843#124—84no—
844#123—48no—
845#123—48no—
846#123—84no—
847#123—84no—
848C22⋊Q8—216no—
849C22⋊Q8—28no—
850C22⋊Q8—28no—
851C22⋊Q8—28no—
852C22⋊Q8—28no—
853C22⋊Q8—44no—
854C22⋊Q8—48no—
855C22⋊Q8—48no—
856C22⋊Q8—44no—
857C22⋊Q8—44no—
858C22⋊Q8—84no—
859C22⋊Q8—84no—
860C22⋊Q8—84no—
861#121—216no—
862#121—216no—
863#121—216no—
864#121—28no—
865#121—28no—
866#121—28no—
867#121—28no—
868#121—48no—
869#121—48no—
870#121—48no—
871#121—44no—
872#121—44no—
873#121—44no—
874#121—84no—
875#120—48no—
876#120—84no—
877#120—84no—
878C4×Q8—44no—
879C4×Q8—44no—
880C4×Q8—44no—
881C4×D4—44no—
882C4×D4—44no—
883C4×D4—44no—
884C4×D4—48no—
885C4×D4—48no—
886C4×D4—84no—
887C4×D4—84no—
888#117—28no—
889#117—42no—
890#117—42no—
891#117—42no—
892#117—42no—
893#117—42no—
894#117—42no—
895#117—42no—
896#117—42no—
897#117—44no—
898#117—42no—
899#117—42no—
900#117—44no—
901#117—42no—
902#117—42no—
903#117—44no—
904#117—84no—
905C2×C4⋊C4—28no—
906C2×C4⋊C4—44no—
907C2×C4⋊C4—44no—
908C2×C4⋊C4—42no—
909C2×C4⋊C4—42no—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C22⋊C4—44no—
954C2×C22⋊C4—42no—
955C2×C22⋊C4—42no—
956C2×C22⋊C4—84no—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2411yescharacteristic
968C2×C22⋊C4C2411yescharacteristic
969C2×C22⋊C4C2411yescharacteristic
970C2×C22⋊C4C2411yescharacteristic
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C42—24no—
1023C2×C42—24no—
1024C2×C42—42no—
1025C2×C42—42no—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105C24—22no—
1106C24—22no—
1107C24—22no—
1108C24—24no—
1109C24—24no—
1110C24—42no—
1111C24—42no—
1112C24—42no—
1113C24—42no—
1114C24—42no—
1115C24—42no—
1116C24—42no—
1117C24C2512yes—
1118C24C2514yes—
1119C24C2511yescharacteristic
1120C24C2512yes—
1121C24C2511yescharacteristic
1122C24C2511yescharacteristic
1123#41—416no—
1124#41—432no—
1125#41—416no—
1126#41—432no—
1127#41—416no—
1128#41—416no—
1129#41—816no—
1130#41—816no—
1131C2×Q8—24no—
1132C2×Q8—24no—
1133C2×Q8—22no—
1134C2×Q8—24no—
1135C2×Q8—24no—
1136C2×Q8—24no—
1137C2×Q8—41no—
1138C2×Q8—41no—
1139C2×Q8—42no—
1140C2×Q8—41no—
1141C2×Q8—41no—
1142C2×Q8—42no—
1143C2×Q8—44no—
1144C2×Q8—44no—
1145C2×Q8—42no—
1146C2×Q8—44no—
1147C2×Q8—44no—
1148C2×Q8—44no—
1149C2×Q8—416no—
1150C2×Q8C2×#4114yes—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—24no—
1156C2×D4—28no—
1157C2×D4—28no—
1158C2×D4—28no—
1159C2×D4—28no—
1160C2×D4—28no—
1161C2×D4—24no—
1162C2×D4—22no—
1163C2×D4—24no—
1164C2×D4—24no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—41no—
1172C2×D4—42no—
1173C2×D4—41no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—416no—
1179C2×D4—44no—
1180C2×D4—42no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—42no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—432no—
1200C2×D4C2×#4114yes—
1201C2×D4C2×#4118yes—
1202C22×C4—232no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—28no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—28no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—432no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—42no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—44no—
1252C22×C4—42no—
1253C22×C4—44no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4C2×#4118yes—
1263C22×C4C2×#4114yes—
1264C22×C4H(5,𝔽2)14yes—
1265C22×C4H(5,𝔽2)14yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2514yes—
1269C22×C4C2514yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2514yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2514yes—
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2514yes—
1284C22×C4C2514yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C4⋊C4—28no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—28no—
1295C4⋊C4—28no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—28no—
1303C4⋊C4—28no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C42—22no—
1400C42—22no—
1401C42—22no—
1402C42—22no—
1403C42—22no—
1404C42—22no—
1405C42—22no—
1406C42—22no—
1407C42—24no—
1408C42—24no—
1409C42—41no—
1410C42—41no—
1411C42—41no—
1412C42—41no—
1413C42—44no—
1414C42—44no—
1415C42—44no—
1416C42—44no—
1417C42—44no—
1418C42—44no—
1419C42—44no—
1420C23—28no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—22no—
1427C23—21no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—24no—
1440C23—22no—
1441C23—24no—
1442C23—24no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—24no—
1447C23—22no—
1448C23—24no—
1449C23—22no—
1450C23—24no—
1451C23—22no—
1452C23—24no—
1453C23—48no—
1454C23—48no—
1455C23—84no—
1456C23—84no—
1457C23—84no—
1458C23—82no—
1459C23—84no—
1460C23—84no—
1461C23—82no—
1462C23—84no—
1463C23—84no—
1464C23C22×#4112yes—
1465C23C22×#4114yes—
1466C23C2×H(5,𝔽2)12yes—
1467C23C2×H(5,𝔽2)12yes—
1468C23C2611yescharacteristic
1469Q8—44no—
1470Q8—48no—
1471Q8—44no—
1472Q8—48no—
1473Q8—84no—
1474Q8—84no—
1475Q8—164no—
1476D4—44no—
1477D4—48no—
1478D4—48no—
1479D4—48no—
1480D4—44no—
1481D4—48no—
1482D4—48no—
1483D4—48no—
1484D4—88no—
1485D4—88no—
1486D4—88no—
1487D4—88no—
1488D4—88no—
1489D4—88no—
1490D4—84no—
1491D4—84no—
1492D4—164no—
1493C2×C4—28no—
1494C2×C4—28no—
1495C2×C4—28no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—28no—
1505C2×C4—28no—
1506C2×C4—28no—
1507C2×C4—216no—
1508C2×C4—24no—
1509C2×C4—24no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—24no—
1528C2×C4—24no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—48no—
1561C2×C4—48no—
1562C2×C4—48no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—48no—
1566C2×C4—88no—
1567C2×C4—88no—
1568C2×C4—82no—
1569C2×C4—82no—
1570C2×C4—84no—
1571C2×C4—84no—
1572C2×C4—88no—
1573C2×C4—164no—
1574C2×C4—164no—
1575C2×C4C22×#4112yes—
1576C2×C4C22×#4114yes—
1577C2×C4C22×#4112yes—
1578C2×C4C2×H(5,𝔽2)12yes—
1579C2×C4C2×H(5,𝔽2)12yes—
1580C2×C4C2×H(5,𝔽2)12yes—
1581C2×C4C2×H(5,𝔽2)12yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—24no—
1586C22—24no—
1587C22—24no—
1588C22—24no—
1589C22—22no—
1590C22—24no—
1591C22—22no—
1592C22—42no—
1593C22—42no—
1594C22—42no—
1595C22—41no—
1596C22—41no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—41no—
1602C22—42no—
1603C22—41no—
1604C22—42no—
1605C22—44no—
1606C22—44no—
1607C22—44no—
1608C22—42no—
1609C22—42no—
1610C22—44no—
1611C22—42no—
1612C22—44no—
1613C22—42no—
1614C22—44no—
1615C22—42no—
1616C22—44no—
1617C22—42no—
1618C22—88no—
1619C22—816no—
1620C22C23×#4111yescharacteristic
1621C22C22×H(5,𝔽2)11yescharacteristic
1622C22C22×H(5,𝔽2)11yescharacteristic
1623C22H(7,𝔽2)12yes—
1624C222−1+612yes—
1625C4—22no—
1626C4—22no—
1627C4—22no—
1628C4—24no—
1629C4—42no—
1630C4—44no—
1631C4—44no—
1632C4—44no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—44no—
1637C4—41no—
1638C4—44no—
1639C4—42no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—44no—
1644C4—44no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4#349014yes—
1650C2—42no—
1651C2—42no—
1652C2—44no—
1653C2—42no—
1654C2—84no—
1655C2—82no—
1656C2C2×#349011yescharacteristic
1657C2#6285712yes—
1658C2#6287411yescharacteristic
1659C2#6287512yes—
1660C2#6288611yescharacteristic
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. #49704C2semidirect
2. #49661C2semidirect
3. #48114C2semidirect
4. #48057C2semidirect
5. #47665C2semidirect
6. #47663C2semidirect
7. #47658C2semidirect
8. #47654C2semidirect
9. #47179C2semidirect
10. #47176C2semidirect
11. #47174C2semidirect
12. #47171C2semidirect
13. #37975C2semidirect
14. #37974C2semidirect
15. #37853C2semidirect
16. #37852C2semidirect
17. #37781C2semidirect
18. #37780C2semidirect
19. #37669C2semidirect
20. #37668C2semidirect
21. #37514C2semidirect
22. #37513C2semidirect
23. #37418C2semidirect
24. #37325C2semidirect
25. #37306C2semidirect
26. #35325C2semidirect
27. #35301C2semidirect
28. #35260C2semidirect
29. #35251C2semidirect
30. #34410C2semidirect
31. #34044C2semidirect
36. C2×#533C22semidirect
37. C2×#532C22semidirect
41. #2857C22semidirect
42. #2855C22semidirect
43. #2854C22semidirect
44. #2850C22semidirect
49. #2833C22semidirect
50. #2832C22semidirect
51. #2830C22semidirect
52. #2828C22semidirect
53. #2811C22semidirect
54. #2809C22semidirect
55. #2804C22semidirect
56. #2803C22semidirect
57. #2788C22semidirect
58. #2778C22semidirect
59. #2760C22semidirect
60. #2759C22semidirect
61. #2759C22semidirect
62. #2758C22semidirect
63. #2756C22semidirect
64. #2752C22semidirect
65. #2751C22semidirect
66. #2749C22semidirect
67. #2747C22semidirect
70. #2743C22semidirect
71. #2742C22semidirect
72. #2741C22semidirect
75. #2737C22semidirect
76. #2730C22semidirect
77. #2728C22semidirect
78. #2728C22semidirect
79. #2717C22semidirect
80. #2711C22semidirect
81. #2710C22semidirect
82. #2705C22semidirect
83. #2704C22semidirect
84. #2700C22semidirect
85. #2699C22semidirect
86. #2699C22semidirect
87. #2699C22semidirect
89. #2696C22semidirect
90. #2696C22semidirect
91. #2695C22semidirect
92. #2692C22semidirect
93. #2692C22semidirect
94. #2688C22semidirect
95. #2688C22semidirect
96. #2688C22semidirect
97. #2687C22semidirect
99. #2683C22semidirect
100. #2681C22semidirect
102. #2676C22semidirect
103. #2672C22semidirect
105. #2653C22semidirect
106. #2649C22semidirect
107. #2635C22semidirect
108. #2631C22semidirect
111. #2628C22semidirect
112. #2628C22semidirect
113. #2628C22semidirect
117. #2621C22semidirect
118. #2620C22semidirect
120. #2619C22semidirect
126. #2611C22semidirect
128. #2610C22semidirect
129. #2610C22semidirect
130. #2605C22semidirect
132. #2599C22semidirect
134. #2598C22semidirect
135. #2593C22semidirect
136. #2591C22semidirect
137. #2586C22semidirect
138. #2583C22semidirect
139. #2572C22semidirect
140. #2572C22semidirect
141. #2564C22semidirect
144. #2557C22semidirect
145. #2555C22semidirect
147. #2527C22semidirect
148. #2526C22semidirect
149. #2516C22semidirect
150. #2510C22semidirect
151. #2504C22semidirect
152. #2503C22semidirect
153. #2495C22semidirect
154. #2495C22semidirect
155. #2494C22semidirect
156. #2494C22semidirect
157. #2493C22semidirect
158. #2492C22semidirect
159. #2492C22semidirect
160. #2491C22semidirect
161. #2491C22semidirect
162. #2484C22semidirect
165. #2481C22semidirect
166. #2479C22semidirect
167. #2477C22semidirect
168. #2476C22semidirect
169. #2476C22semidirect
173. #2471C22semidirect
175. #2468C22semidirect
176. #2467C22semidirect
177. #2465C22semidirect
180. #2456C22semidirect
181. #2450C22semidirect
182. #2450C22semidirect
183. #2449C22semidirect
185. #2440C22semidirect
186. #2440C22semidirect
187. #2439C22semidirect
188. #2439C22semidirect
189. #2438C22semidirect
190. #2432C22semidirect
191. #2431C22semidirect
194. #2430C22semidirect
195. #2429C22semidirect
196. #2428C22semidirect
197. #2427C22semidirect
198. #2427C22semidirect
199. #2426C22semidirect
200. #2426C22semidirect
201. #2423C22semidirect
202. #2422C22semidirect
203. #2421C22semidirect
204. #2420C22semidirect
214. #2407C22semidirect
215. #2406C22semidirect
217. #2377C22semidirect
218. #2377C22semidirect
219. #2364C22semidirect
220. #2363C22semidirect
221. #2363C22semidirect
222. #2362C22semidirect
223. #2361C22semidirect
224. #2360C22semidirect
225. #2345C22semidirect
226. #2344C22semidirect
227. #2341C22semidirect
228. #2339C22semidirect
229. #2333C22semidirect
230. #2332C22semidirect
231. #2329C22semidirect
233. #2324C22semidirect
234. #2324C22semidirect
235. #2324C22semidirect
237. #2323C22semidirect
238. #2323C22semidirect
254. C4×C22⋊Q8C22semidirect
255. C4×#121C22semidirect
262. #2283C22semidirect
263. #2283C22semidirect
770. C2×#41#41semidirect

Maximal subgroups

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

subgroupindex
#497042
#496612
#481142
#480572
#476652
#476632
#476582
#476542
#471792
#471762
#471742
#471712
#379752
#379742
#378532
#378522
#377812
#377802
#376692
#376682
#375142
#375132
#374182
#373252
#373062
#353252
#353012
#352602
#352512
#344102
#340442