Finite Group Databasebeta

← #8323425

Subgroups — #8323425

Order 512.

5234 conjugacy classes of subgroups.

The subgroup lattice has 1594 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59566C212yesmaximal, complemented
2#59130C212yesmaximal, complemented
3#59002C212yesmaximal, complemented
4#57527C214yesmaximal, complemented
5#54181C214yesmaximal, complemented
6#53815C212yesmaximal, complemented
7#53642C212yesmaximal, complemented
8#53611C214yesmaximal, complemented
9#53022C212yesmaximal, complemented
10#52422C212yesmaximal, complemented
11#52163C211yesmaximal, characteristic, complemented
12#51815C214yesmaximal, complemented
13#50752C214yesmaximal, complemented
14#45508C212yesmaximal, complemented
15#45330C212yesmaximal, complemented
16#45224C212yesmaximal, complemented
17#42937C211yesmaximal, characteristic, complemented
18#42807C211yesmaximal, characteristic, complemented
19#42767C212yesmaximal, complemented
20#42719C212yesmaximal, complemented
21#40700C214yesmaximal, complemented
22#39860C212yesmaximal, complemented
23#38905C212yesmaximal, complemented
24#37658C212yesmaximal, complemented
25#37651C212yesmaximal, complemented
26#37514C211yesmaximal, characteristic, complemented
27#36009C211yesmaximal, characteristic, complemented
28#35730C211yesmaximal, characteristic, complemented
29#35617C211yesmaximal, characteristic, complemented
30C2×D4×Q8C2212yescomplemented
31C2×#548C2212yes—
32C2×#547C2211yescharacteristic
33C2×#547C2211yescharacteristic
34C2×#546C2212yescomplemented
35C2×#536C2211yescharacteristic
36C2×#535C2211yescharacteristic
37C22×#124C2211yescharacteristic, complemented
38C2×#525C2212yes—
39C2×#525C2212yescomplemented
40C22×C22⋊Q8C2212yescomplemented
41C2×#518C2211yescharacteristic, complemented
42#2848C2212yescomplemented
43#2847C2212yescomplemented
44#2841C2214yescomplemented
45#2838C2214yescomplemented
46#2837C2214yescomplemented
47#2833C2212yescomplemented
48#2832C2212yescomplemented
49#2830C2214yescomplemented
50#2830C2212yescomplemented
51#2826C2214yescomplemented
52#2824C2214yescomplemented
53#2817C2212yescomplemented
54#2812C2214yescomplemented
55#2803C2214yescomplemented
56#2797C2214yescomplemented
57#2796C2214yescomplemented
58#2793C2214yescomplemented
59#2787C2214yescomplemented
60#2786C2214yescomplemented
61#2779C2214yescomplemented
62#2778C2214yescomplemented
63#2778C2214yescomplemented
64#2771C2212yescomplemented
65#2764C2214yescomplemented
66#2757C2214yescomplemented
67#2757C2214yescomplemented
68#2757C2214yescomplemented
69#2756C2214yescomplemented
70#2752C2212yes—
71#2751C2214yescomplemented
72#2751C2214yescomplemented
73#2749C2214yescomplemented
74#2748C2214yescomplemented
75#2746C2214yescomplemented
76#2746C2214yescomplemented
77#2746C2214yescomplemented
78#2741C2214yescomplemented
79#2740C2214yescomplemented
80#2740C2214yescomplemented
81#2737C2214yescomplemented
82#2734C2212yescomplemented
83#2732C2212yescomplemented
84#2729C2214yescomplemented
85#2728C2211yescharacteristic, complemented
86#2728C2212yescomplemented
87#2728C2211yescharacteristic, complemented
88#2724C2211yescharacteristic, complemented
89#2717C2214yescomplemented
90#2708C2212yes—
91#2708C2212yes—
92#2708C2214yescomplemented
93#2697C2212yescomplemented
94#2696C2214yescomplemented
95#2696C2214yescomplemented
96#2692C2214yescomplemented
97#2692C2214yescomplemented
98#2684C2214yescomplemented
99#2681C2214yes—
100#2680C2214yescomplemented
101#2680C2214yescomplemented
102#2679C2214yescomplemented
103#2679C2211yescharacteristic, complemented
104#2678C2214yes—
105#2677C2214yescomplemented
106#2676C2214yes—
107#2674C2214yescomplemented
108#2674C2214yescomplemented
109#2672C2214yescomplemented
110#2672C2214yescomplemented
111#2669C2214yes—
112#2668C2212yes—
113#2668C2212yes—
114#2668C2214yescomplemented
115#2653C2214yescomplemented
116#2653C2214yescomplemented
117#2651C2214yescomplemented
118#2650C2214yescomplemented
119#2649C2214yescomplemented
120#2648C2214yescomplemented
121#2646C2214yescomplemented
122#2638C2214yescomplemented
123#2638C2212yescomplemented
124#2638C2214yescomplemented
125#2628C2211yescharacteristic, complemented
126#2623C2214yescomplemented
127#2621C2212yescomplemented
128#2621C2211yescharacteristic, complemented
129#2620C2212yescomplemented
130#2617C2212yes—
131#2616C2212yes—
132#2600C2212yes—
133#2600C2214yescomplemented
134#2594C2214yescomplemented
135#2593C2212yescomplemented
136#2586C2212yescomplemented
137#2586C2212yescomplemented
138#2585C2214yescomplemented
139#2577C2214yescomplemented
140#2569C2214yescomplemented
141#2564C2214yescomplemented
142#2563C2211yescharacteristic, complemented
143#2561C2212yescomplemented
144#2547C2212yescomplemented
145#2547C2211yescharacteristic, complemented
146#2547C2212yescomplemented
147#2545C2212yescomplemented
148#2544C2212yes—
149#2544C2212yes—
150#2543C2212yes—
151#2542C2212yescomplemented
152#2540C2212yes—
153#2540C2212yes—
154#2537C2212yes—
155#2536C2212yescomplemented
156#2535C2211yescharacteristic
157#2535C2211yescharacteristic
158#2516C2214yescomplemented
159#2514C2212yescomplemented
160#2511C2212yescomplemented
161#2510C2214yescomplemented
162#2507C2212yescomplemented
163#2499C2212yescomplemented
164#2497C2214yescomplemented
165#2495C2212yescomplemented
166#2494C2212yescomplemented
167#2492C2212yescomplemented
168#2492C2212yescomplemented
169#2491C2214yescomplemented
170#2486C2212yescomplemented
171#2485C2214yescomplemented
172#2485C2212yescomplemented
173#2476C2214yes—
174#2476C2214yescomplemented
175#2472C2214yescomplemented
176#2472C2214yescomplemented
177#2461C2214yescomplemented
178#2461C2214yescomplemented
179#2461C2214yescomplemented
180#2457C2214yescomplemented
181#2449C2214yescomplemented
182#2446C2212yescomplemented
183#2445C2214yes—
184#2444C2214yescomplemented
185#2443C2214yes—
186#2443C2214yescomplemented
187#2440C2214yescomplemented
188#2437C2214yescomplemented
189#2436C2212yescomplemented
190#2434C2212yescomplemented
191#2432C2212yescomplemented
192#2429C2212yescomplemented
193#2427C2212yescomplemented
194#2427C2212yescomplemented
195#2427C2212yescomplemented
196#2427C2212yescomplemented
197#2427C2212yescomplemented
198#2427C2212yescomplemented
199#2426C2212yescomplemented
200#2425C2214yescomplemented
201#2424C2214yes—
202#2424C2214yes—
203#2424C2214yescomplemented
204#2423C2212yescomplemented
205#2421C2212yescomplemented
206#2421C2212yescomplemented
207#2420C2212yescomplemented
208#2418C2214yescomplemented
209#2418C2214yescomplemented
210#2418C2214yescomplemented
211#2418C2214yescomplemented
212#2417C2212yescomplemented
213#2417C2212yescomplemented
214#2415C2212yescomplemented
215#2415C2212yescomplemented
216#2415C2212yescomplemented
217#2414C2212yes—
218#2412C2214yescomplemented
219#2412C2214yescomplemented
220#2412C2214yescomplemented
221#2411C2214yescomplemented
222#2409C2212yescomplemented
223#2409C2212yescomplemented
224#2409C2212yescomplemented
225#2408C2212yescomplemented
226#2407C2212yes—
227#2404C2212yes—
228#2404C2214yescomplemented
229#2395C2212yescomplemented
230#2395C2212yescomplemented
231#2392C2211yescharacteristic
232#2392C2211yescharacteristic
233C2×#397C2212yescomplemented
234#2388C2212yes—
235#2375C2214yescomplemented
236#2367C2212yescomplemented
237#2362C2212yescomplemented
238#2361C2212yescomplemented
239#2358C2214yescomplemented
240#2357C2211yescharacteristic, complemented
241#2354C2212yescomplemented
242#2352C2212yescomplemented
243#2349C2211yescharacteristic, complemented
244D4×C4⋊C4C2214yescomplemented
245#2347C2214yescomplemented
246#2344C2212yescomplemented
247#2339C2212yescomplemented
248#2325C2214yescomplemented
249#2324C2212yescomplemented
250#2323C2212yescomplemented
251#2311C2214yescomplemented
252#2310C2211yescharacteristic, complemented
253C4×C22⋊Q8C2212yescomplemented
254C4×#121C2212yes—
255C4×#120C2212yescomplemented
256C4×#120C2212yescomplemented
257#2297C2211yescharacteristic
258#2296C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C22×#41C2311yescharacteristic
261C22×#41C2312yes—
262C23×Q8C2311yescharacteristic
263C23×Q8C2312yes—
264C23×D4C2311yescharacteristic
265C24×C4C2312yes—
266D4×Q8—48no—
267#548—48no—
268#547—44no—
269#547—44no—
270#546—48no—
271#536—44no—
272#535—44no—
273C2×C4⋊Q8C2311yescharacteristic
274C2×C4⋊Q8C2311yescharacteristic
275C2×C4⋊Q8C2312yes—
276C2×C4⋊Q8C2314yes—
277C2×C4⋊Q8C2312yes—
278C2×#127C2312yes—
279C2×#124—44no—
280C2×#124C2312yes—
281C2×#124C2312yes—
282C2×#124C2312yes—
283C2×#124C2312yes—
284C2×#124C2312yes—
285C2×#124C2312yes—
286C2×#124C2314yes—
287C2×#124C2312yes—
288#525—48no—
289#525—48no—
290C2×#123C2314yes—
291C2×#123C2312yes—
292C2×#123C2312yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×C22⋊Q8—48no—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2314yes—
303C2×C22⋊Q8C2314yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2314yes—
312C2×C22⋊Q8C2314yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2314yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2314yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#120C2314yes—
329C2×#120C2314yes—
330C2×#120C2314yes—
331C2×#120C2312yes—
332C2×#120C2312yes—
333C2×#120C2312yes—
334C2×#120C2314yes—
335C2×#120C2314yes—
336C2×#120C2312yes—
337#518—44no—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2314yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2314yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2314yes—
367C22×C4⋊C4C2312yes—
368C22×C22⋊C4C2312yes—
369C22×C22⋊C4C2314yes—
370C22×C22⋊C4C2314yes—
371C22×C22⋊C4C2312yes—
372C22×C22⋊C4C2314yes—
373C22×C42C2311yescharacteristic
374#401C2314yes—
375#401C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2312yes—
381#400C2314yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#399C2314yes—
389#399C2312yes—
390#399C2314yes—
391#399C2314yes—
392#399C2314yes—
393#399C2312yes—
394#399C2312yes—
395#399C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2312yes—
400#398C2314yes—
401#398C2314yes—
402#398C2312yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2314yes—
408#398C2311yescharacteristic
409#398C2311yescharacteristic
410#398C2312yes—
411#398C2314yes—
412#397C2311yescharacteristic
413#397C2312yes—
414#397C2314yes—
415#397C2312yes—
416#397C2314yes—
417#397C2314yes—
418#397C2312yes—
419#397C2312yes—
420#397C2312yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2311yescharacteristic
437#397C2312yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2312yes—
442#397C2312yes—
443#397C2312yes—
444#397C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2312yes—
452#396C2312yes—
453#396C2314yes—
454#396C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2312yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#394C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2311yescharacteristic
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2311yescharacteristic
487#394C2312yes—
488#394C2312yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#393C2312yes—
496#393C2312yes—
497#393C2312yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2311yescharacteristic
508#392C2312yes—
509#392C2311yescharacteristic
510#392C2312yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2314yes—
519#391C2314yes—
520#391C2311yescharacteristic
521#391C2312yes—
522#391C2311yescharacteristic
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#390C2312yes—
529#390C2314yes—
530#390C2314yes—
531#390C2311yescharacteristic
532#390C2314yes—
533#390C2314yes—
534#390C2311yescharacteristic
535#390C2314yes—
536#390C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2314yes—
540#390C2314yes—
541#390C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
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#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
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#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2312yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2312yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2312yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2312yes—
630#386C2312yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2312yes—
637#386C2312yes—
638#386C2312yes—
639#386C2312yes—
640#386C2312yes—
641#385C2312yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2312yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2314yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#384C2314yes—
665#384C2312yes—
666#383C2314yes—
667#383C2314yes—
668#382C2312yes—
669#382C2311yescharacteristic
670#382C2311yescharacteristic
671#381C2314yes—
672#381C2312yes—
673#381C2312yes—
674#381C2314yes—
675#381C2314yes—
676#381C2312yes—
677#380C2314yes—
678#380C2314yes—
679#380C2314yes—
680#380C2314yes—
681#380C2314yes—
682#380C2314yes—
683#380C2314yes—
684#380C2314yes—
685#380C2314yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2314yes—
690#380C2314yes—
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#379C2314yes—
698#379C2314yes—
699#379C2312yes—
700#379C2312yes—
701C4×C4⋊C4C2311yescharacteristic
702C4×C4⋊C4C2314yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2314yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2311yescharacteristic
711C4×C4⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C2×#95C2314yes—
723C2×#95C2312yes—
724C25C2412yes—
725C25C2412yes—
726C2×#41—28no—
727C2×#41—24no—
728C2×#41—42no—
729C2×#41—42no—
730C2×#41—44no—
731C2×#41—48no—
732C2×#41—44no—
733C2×#41—44no—
734C22×Q8—24no—
735C22×Q8—44no—
736C22×Q8—42no—
737C22×Q8—42no—
738C22×Q8—44no—
739C22×Q8—44no—
740C22×Q8C2412yes—
741C22×Q8C2412yes—
742C22×Q8C2411yescharacteristic
743C22×Q8C2412yes—
744C22×Q8C2414yes—
745C22×Q8C2412yes—
746C22×D4—24no—
747C22×D4—24no—
748C22×D4—42no—
749C22×D4C2411yescharacteristic
750C22×D4C2412yes—
751C22×D4C2414yes—
752C22×D4C2412yes—
753C22×D4C2411yescharacteristic
754C22×D4C2411yescharacteristic
755C22×D4C2412yes—
756C22×D4C2412yes—
757C22×D4C2412yes—
758C22×D4C2414yes—
759C22×D4C2412yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2411yescharacteristic
763C22×D4C2411yescharacteristic
764C22×D4C2412yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C23×C4—44no—
768C23×C4—44no—
769C23×C4—44no—
770C23×C4C2412yes—
771C23×C4C2412yes—
772C23×C4C2412yes—
773C23×C4C2414yes—
774C23×C4C2411yescharacteristic
775C23×C4C2412yes—
776C23×C4C2412yes—
777C23×C4C2414yes—
778C23×C4C2412yes—
779C23×C4C2412yes—
780C23×C4C2414yes—
781C23×C4C2412yes—
782C23×C4C2412yes—
783C23×C4C2414yes—
784C23×C4C2412yes—
785C23×C4C2412yes—
786C23×C4C2412yes—
787C4⋊Q8—44no—
788C4⋊Q8—42no—
789C4⋊Q8—42no—
790C4⋊Q8—44no—
791C4⋊Q8—48no—
792#127—44no—
793#124—28no—
794#124—44no—
795#124—44no—
796#124—44no—
797#124—44no—
798#124—44no—
799#124—44no—
800#124—48no—
801#123—48no—
802#123—48no—
803#123—44no—
804#123—48no—
805#123—48no—
806#123—44no—
807#123—48no—
808C22⋊Q8—28no—
809C22⋊Q8—28no—
810C22⋊Q8—28no—
811C22⋊Q8—48no—
812C22⋊Q8—48no—
813C22⋊Q8—48no—
814C22⋊Q8—48no—
815C22⋊Q8—44no—
816C22⋊Q8—44no—
817C22⋊Q8—48no—
818C22⋊Q8—44no—
819C22⋊Q8—44no—
820C22⋊Q8—44no—
821C22⋊Q8—44no—
822C22⋊Q8—44no—
823C22⋊Q8—44no—
824C22⋊Q8—44no—
825C22⋊Q8—44no—
826#121—28no—
827#121—28no—
828#121—44no—
829#121—48no—
830#121—44no—
831#121—48no—
832#121—44no—
833#121—44no—
834#121—48no—
835#121—44no—
836#121—44no—
837#121—44no—
838#120—44no—
839#120—48no—
840#120—44no—
841#120—48no—
842#120—48no—
843#120—48no—
844#120—44no—
845#120—44no—
846#120—48no—
847C4×Q8—44no—
848C4×Q8—44no—
849C4×D4—28no—
850C4×D4—28no—
851C4×D4—24no—
852C4×D4—24no—
853C4×D4—44no—
854C4×D4—42no—
855C4×D4—42no—
856C4×D4—44no—
857C4×D4—44no—
858C4×D4—44no—
859C4×D4—44no—
860C4×D4—42no—
861C4×D4—42no—
862C4×D4—44no—
863C4×D4—48no—
864C4×D4—48no—
865C4×D4—48no—
866C4×D4—48no—
867C4×D4—48no—
868#117—24no—
869#117—42no—
870#117—44no—
871#117—48no—
872#117—44no—
873#117—42no—
874C2×C4⋊C4—28no—
875C2×C4⋊C4—48no—
876C2×C4⋊C4—44no—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C22⋊C4—44no—
925C2×C22⋊C4—44no—
926C2×C22⋊C4—48no—
927C2×C22⋊C4—48no—
928C2×C22⋊C4—48no—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2411yescharacteristic
947C2×C22⋊C4C2411yescharacteristic
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C42—42no—
998C2×C42C2412yes—
999C2×C42C2411yescharacteristic
1000C2×C42C2411yescharacteristic
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2414yes—
1005C2×C42C2412yes—
1006C2×C42C2414yes—
1007C2×C42C2414yes—
1008C2×C42C2414yes—
1009C2×C42C2414yes—
1010C2×C42C2414yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013#95C2412yes—
1014#95C2411yescharacteristic
1015#95C2414yes—
1016#95C2412yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2412yes—
1021#95C2411yescharacteristic
1022#95C2412yes—
1023#95C2414yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2414yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2414yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2411yescharacteristic
1041#95C2414yes—
1042#95C2411yescharacteristic
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069C24—24no—
1070C24—24no—
1071C24—24no—
1072C24—42no—
1073C24—42no—
1074C24—42no—
1075C24—42no—
1076C24—42no—
1077C24—42no—
1078C24—42no—
1079C24—44no—
1080C24—44no—
1081C24C2512yes—
1082C24C2512yes—
1083C24C2512yes—
1084C24C2511yescharacteristic
1085C24C2512yes—
1086C24C2512yes—
1087#41—88no—
1088#41—816no—
1089#41—816no—
1090C2×Q8—24no—
1091C2×Q8—24no—
1092C2×Q8—24no—
1093C2×Q8—24no—
1094C2×Q8—24no—
1095C2×Q8—24no—
1096C2×Q8—22no—
1097C2×Q8—24no—
1098C2×Q8—44no—
1099C2×Q8—44no—
1100C2×Q8—44no—
1101C2×Q8—42no—
1102C2×Q8—42no—
1103C2×Q8—41no—
1104C2×Q8—42no—
1105C2×Q8—41no—
1106C2×Q8—44no—
1107C2×Q8—88no—
1108C2×Q8—816no—
1109C2×D4—24no—
1110C2×D4—28no—
1111C2×D4—24no—
1112C2×D4—28no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—24no—
1116C2×D4—28no—
1117C2×D4—24no—
1118C2×D4—28no—
1119C2×D4—24no—
1120C2×D4—28no—
1121C2×D4—24no—
1122C2×D4—22no—
1123C2×D4—22no—
1124C2×D4—22no—
1125C2×D4—24no—
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—22no—
1129C2×D4—416no—
1130C2×D4—42no—
1131C2×D4—41no—
1132C2×D4—44no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—41no—
1138C2×D4—42no—
1139C2×D4—44no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—42no—
1145C2×D4—44no—
1146C2×D4—42no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—44no—
1153C2×D4—42no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4H(5,𝔽2)14yes—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—28no—
1165C22×C4—28no—
1166C22×C4—24no—
1167C22×C4—28no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—44no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—42no—
1185C22×C4—44no—
1186C22×C4—42no—
1187C22×C4—42no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—44no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—816no—
1209C22×C4H(5,𝔽2)14yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2512yes—
1217C22×C4C2514yes—
1218C22×C4C2514yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2514yes—
1225C22×C4C2512yes—
1226C22×C4C2514yes—
1227C22×C4C2514yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C4⋊C4—24no—
1234C4⋊C4—28no—
1235C4⋊C4—28no—
1236C4⋊C4—28no—
1237C4⋊C4—22no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—28no—
1244C4⋊C4—41no—
1245C4⋊C4—42no—
1246C4⋊C4—44no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—42no—
1250C4⋊C4—44no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—42no—
1263C4⋊C4—41no—
1264C4⋊C4—44no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4H(5,𝔽2)14yes—
1280C22⋊C4—24no—
1281C22⋊C4—28no—
1282C22⋊C4—28no—
1283C22⋊C4—28no—
1284C22⋊C4—24no—
1285C22⋊C4—28no—
1286C22⋊C4—28no—
1287C22⋊C4—24no—
1288C22⋊C4—28no—
1289C22⋊C4—24no—
1290C22⋊C4—24no—
1291C22⋊C4—24no—
1292C22⋊C4—24no—
1293C22⋊C4—28no—
1294C22⋊C4—28no—
1295C22⋊C4—24no—
1296C22⋊C4—24no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
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—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—44no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C42—24no—
1349C42—24no—
1350C42—24no—
1351C42—22no—
1352C42—22no—
1353C42—24no—
1354C42—41no—
1355C42—41no—
1356C42—44no—
1357C42—44no—
1358C42—44no—
1359C42—42no—
1360C42—44no—
1361C42—44no—
1362C42—44no—
1363C23—21no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—21no—
1368C23—22no—
1369C23—22no—
1370C23—24no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—24no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—24no—
1391C23—22no—
1392C23—24no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—48no—
1397C23—48no—
1398C23—84no—
1399C23—84no—
1400C23—84no—
1401C23—88no—
1402C23—88no—
1403C23—84no—
1404C23—84no—
1405C23—84no—
1406C23—162no—
1407C23—162no—
1408C23C2×H(5,𝔽2)12yes—
1409C23C2×H(5,𝔽2)14yes—
1410C23#58514yes—
1411C23C2611yescharacteristic
1412Q8—48no—
1413Q8—48no—
1414Q8—84no—
1415Q8—82no—
1416Q8—88no—
1417Q8—84no—
1418D4—28no—
1419D4—48no—
1420D4—416no—
1421D4—48no—
1422D4—44no—
1423D4—44no—
1424D4—82no—
1425D4—84no—
1426D4—88no—
1427D4—84no—
1428D4—84no—
1429D4—84no—
1430D4—88no—
1431D4—88no—
1432D4—82no—
1433D4—84no—
1434D4—164no—
1435D4—164no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—24no—
1439C2×C4—28no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—24no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—416no—
1496C2×C4—48no—
1497C2×C4—48no—
1498C2×C4—48no—
1499C2×C4—84no—
1500C2×C4—84no—
1501C2×C4—84no—
1502C2×C4—88no—
1503C2×C4—84no—
1504C2×C4—84no—
1505C2×C4—84no—
1506C2×C4—84no—
1507C2×C4—88no—
1508C2×C4—162no—
1509C2×C4—162no—
1510C2×C4—164no—
1511C2×C4C2×H(5,𝔽2)14yes—
1512C2×C4C2×H(5,𝔽2)12yes—
1513C2×C4C2×H(5,𝔽2)12yes—
1514C2×C4C2×H(5,𝔽2)12yes—
1515C2×C4C2×H(5,𝔽2)12yes—
1516C22—22no—
1517C22—24no—
1518C22—24no—
1519C22—24no—
1520C22—28no—
1521C22—24no—
1522C22—24no—
1523C22—42no—
1524C22—42no—
1525C22—41no—
1526C22—42no—
1527C22—42no—
1528C22—41no—
1529C22—42no—
1530C22—42no—
1531C22—44no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—44no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—42no—
1550C22—42no—
1551C22—44no—
1552C22—816no—
1553C22—168no—
1554C22C22×H(5,𝔽2)11yescharacteristic
1555C22C22×H(5,𝔽2)11yescharacteristic
1556C22C22×H(5,𝔽2)11yescharacteristic
1557C22C2×#58512yes—
1558C222−1+612yes—
1559C4—22no—
1560C4—24no—
1561C4—42no—
1562C4—42no—
1563C4—42no—
1564C4—44no—
1565C4—44no—
1566C4—44no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—42no—
1572C4—42no—
1573C4—42no—
1574C4—44no—
1575C4—44no—
1576C4—42no—
1577C4—44no—
1578C4—42no—
1579C4—42no—
1580C4—42no—
1581C4#353714yes—
1582C2—44no—
1583C2—44no—
1584C2—42no—
1585C2—82no—
1586C2—82no—
1587C2—82no—
1588C2C2×#353711yescharacteristic
1589C2#6289812yes—
1590C2#6295412yes—
1591C2#6301711yescharacteristic
1592C2#6304811yescharacteristic
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. #59566C2semidirect
2. #59130C2semidirect
3. #59002C2semidirect
4. #57527C2semidirect
5. #54181C2semidirect
6. #53815C2semidirect
7. #53642C2semidirect
8. #53611C2semidirect
9. #53022C2semidirect
10. #52422C2semidirect
11. #52163C2semidirect
12. #51815C2semidirect
13. #50752C2semidirect
14. #45508C2semidirect
15. #45330C2semidirect
16. #45224C2semidirect
17. #42937C2semidirect
18. #42807C2semidirect
19. #42767C2semidirect
20. #42719C2semidirect
21. #40700C2semidirect
22. #39860C2semidirect
23. #38905C2semidirect
24. #37658C2semidirect
25. #37651C2semidirect
26. #37514C2semidirect
27. #36009C2semidirect
28. #35730C2semidirect
29. #35617C2semidirect
30. C2×D4×Q8C22semidirect
34. C2×#546C22semidirect
37. C22×#124C22semidirect
39. C2×#525C22semidirect
40. C22×C22⋊Q8C22semidirect
41. C2×#518C22semidirect
42. #2848C22semidirect
43. #2847C22semidirect
44. #2841C22semidirect
45. #2838C22semidirect
46. #2837C22semidirect
47. #2833C22semidirect
48. #2832C22semidirect
49. #2830C22semidirect
50. #2830C22semidirect
51. #2826C22semidirect
52. #2824C22semidirect
53. #2817C22semidirect
54. #2812C22semidirect
55. #2803C22semidirect
56. #2797C22semidirect
57. #2796C22semidirect
58. #2793C22semidirect
59. #2787C22semidirect
60. #2786C22semidirect
61. #2779C22semidirect
62. #2778C22semidirect
63. #2778C22semidirect
64. #2771C22semidirect
65. #2764C22semidirect
66. #2757C22semidirect
67. #2757C22semidirect
68. #2757C22semidirect
69. #2756C22semidirect
71. #2751C22semidirect
72. #2751C22semidirect
73. #2749C22semidirect
74. #2748C22semidirect
75. #2746C22semidirect
76. #2746C22semidirect
77. #2746C22semidirect
78. #2741C22semidirect
79. #2740C22semidirect
80. #2740C22semidirect
81. #2737C22semidirect
82. #2734C22semidirect
83. #2732C22semidirect
84. #2729C22semidirect
85. #2728C22semidirect
86. #2728C22semidirect
87. #2728C22semidirect
88. #2724C22semidirect
89. #2717C22semidirect
92. #2708C22semidirect
93. #2697C22semidirect
94. #2696C22semidirect
95. #2696C22semidirect
96. #2692C22semidirect
97. #2692C22semidirect
98. #2684C22semidirect
100. #2680C22semidirect
101. #2680C22semidirect
102. #2679C22semidirect
103. #2679C22semidirect
105. #2677C22semidirect
107. #2674C22semidirect
108. #2674C22semidirect
109. #2672C22semidirect
110. #2672C22semidirect
114. #2668C22semidirect
115. #2653C22semidirect
116. #2653C22semidirect
117. #2651C22semidirect
118. #2650C22semidirect
119. #2649C22semidirect
120. #2648C22semidirect
121. #2646C22semidirect
122. #2638C22semidirect
123. #2638C22semidirect
124. #2638C22semidirect
125. #2628C22semidirect
126. #2623C22semidirect
127. #2621C22semidirect
128. #2621C22semidirect
129. #2620C22semidirect
133. #2600C22semidirect
134. #2594C22semidirect
135. #2593C22semidirect
136. #2586C22semidirect
137. #2586C22semidirect
138. #2585C22semidirect
139. #2577C22semidirect
140. #2569C22semidirect
141. #2564C22semidirect
142. #2563C22semidirect
143. #2561C22semidirect
144. #2547C22semidirect
145. #2547C22semidirect
146. #2547C22semidirect
147. #2545C22semidirect
151. #2542C22semidirect
155. #2536C22semidirect
158. #2516C22semidirect
159. #2514C22semidirect
160. #2511C22semidirect
161. #2510C22semidirect
162. #2507C22semidirect
163. #2499C22semidirect
164. #2497C22semidirect
165. #2495C22semidirect
166. #2494C22semidirect
167. #2492C22semidirect
168. #2492C22semidirect
169. #2491C22semidirect
170. #2486C22semidirect
171. #2485C22semidirect
172. #2485C22semidirect
174. #2476C22semidirect
175. #2472C22semidirect
176. #2472C22semidirect
177. #2461C22semidirect
178. #2461C22semidirect
179. #2461C22semidirect
180. #2457C22semidirect
181. #2449C22semidirect
182. #2446C22semidirect
184. #2444C22semidirect
186. #2443C22semidirect
187. #2440C22semidirect
188. #2437C22semidirect
189. #2436C22semidirect
190. #2434C22semidirect
191. #2432C22semidirect
192. #2429C22semidirect
193. #2427C22semidirect
194. #2427C22semidirect
195. #2427C22semidirect
196. #2427C22semidirect
197. #2427C22semidirect
198. #2427C22semidirect
199. #2426C22semidirect
200. #2425C22semidirect
203. #2424C22semidirect
204. #2423C22semidirect
205. #2421C22semidirect
206. #2421C22semidirect
207. #2420C22semidirect
208. #2418C22semidirect
209. #2418C22semidirect
210. #2418C22semidirect
211. #2418C22semidirect
212. #2417C22semidirect
213. #2417C22semidirect
214. #2415C22semidirect
215. #2415C22semidirect
216. #2415C22semidirect
218. #2412C22semidirect
219. #2412C22semidirect
220. #2412C22semidirect
221. #2411C22semidirect
222. #2409C22semidirect
223. #2409C22semidirect
224. #2409C22semidirect
225. #2408C22semidirect
228. #2404C22semidirect
229. #2395C22semidirect
230. #2395C22semidirect
233. C2×#397C22semidirect
235. #2375C22semidirect
236. #2367C22semidirect
237. #2362C22semidirect
238. #2361C22semidirect
239. #2358C22semidirect
240. #2357C22semidirect
241. #2354C22semidirect
242. #2352C22semidirect
243. #2349C22semidirect
244. D4×C4⋊C4C22semidirect
245. #2347C22semidirect
246. #2344C22semidirect
247. #2339C22semidirect
248. #2325C22semidirect
249. #2324C22semidirect
250. #2323C22semidirect
251. #2311C22semidirect
252. #2310C22semidirect
253. C4×C22⋊Q8C22semidirect
255. C4×#120C22semidirect
256. C4×#120C22semidirect
258. #2296C22semidirect

Maximal subgroups

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

subgroupindex
#595662
#591302
#590022
#575272
#541812
#538152
#536422
#536112
#530222
#524222
#521632
#518152
#507522
#455082
#453302
#452242
#429372
#428072
#427672
#427192
#407002
#398602
#389052
#376582
#376512
#375142
#360092
#357302
#356172