Finite Group Databasebeta

← #8157111

Subgroups — #8157111

Order 512.

5258 conjugacy classes of subgroups.

The subgroup lattice has 1614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59806C212yesmaximal, complemented
2#59125C212yesmaximal, complemented
3#56919C214yesmaximal, complemented
4#54971C214yesmaximal, complemented
5#54010C214yesmaximal, complemented
6#53550C214yesmaximal, complemented
7#53046C212yesmaximal, complemented
8#52959C212yesmaximal, complemented
9#52451C214yesmaximal, complemented
10#45076C212yesmaximal, complemented
11#44869C212yesmaximal, complemented
12#42920C212yesmaximal, complemented
13#42547C212yesmaximal, complemented
14#42534C212yesmaximal, complemented
15#42421C212yesmaximal, complemented
16#40489C214yesmaximal, complemented
17#39743C212yesmaximal, complemented
18#39743C211yesmaximal, characteristic, complemented
19#39668C212yesmaximal, complemented
20#39632C211yesmaximal, characteristic, complemented
21#37836C212yesmaximal, complemented
22#37649C212yesmaximal, complemented
23#37459C212yesmaximal, complemented
24#36759C212yesmaximal, complemented
25#36596C211yesmaximal, characteristic, complemented
26#36551C211yesmaximal, characteristic, complemented
27#35005C211yesmaximal, characteristic, complemented
28C2×#2492C211yesmaximal, characteristic, complemented
29#34575C211yesmaximal, characteristic, complemented
30C2×#553C2212yes—
31C2×#548C2212yes—
32C2×#548C2214yes—
33C2×#547C2212yescomplemented
34C2×#538C2212yes—
35C2×#537C2212yes—
36C22×C4⋊Q8C2211yescharacteristic
37C2×#525C2212yes—
38C22×C22⋊Q8C2211yescharacteristic
39#2857C2211yescharacteristic
40#2856C2212yes—
41#2856C2211yescharacteristic
42#2851C2212yes—
43#2847C2212yes—
44#2839C2214yescomplemented
45#2837C2214yes—
46#2836C2214yescomplemented
47#2832C2214yescomplemented
48#2831C2214yescomplemented
49#2828C2214yes—
50#2827C2214yescomplemented
51#2826C2214yescomplemented
52#2824C2214yescomplemented
53#2819C2214yes—
54#2814C2214yes—
55#2813C2214yescomplemented
56#2806C2212yescomplemented
57#2804C2212yescomplemented
58#2803C2214yes—
59#2798C2214yescomplemented
60#2797C2214yes—
61#2793C2214yes—
62#2788C2214yescomplemented
63#2779C2214yescomplemented
64#2763C2214yescomplemented
65#2755C2214yescomplemented
66#2753C2214yes—
67#2752C2214yes—
68#2751C2214yescomplemented
69#2747C2214yescomplemented
70#2743C2214yescomplemented
71#2733C2214yescomplemented
72#2733C2212yescomplemented
73#2732C2212yescomplemented
74#2732C2214yescomplemented
75#2730C2214yescomplemented
76#2730C2214yescomplemented
77#2730C2214yescomplemented
78#2712C2214yes—
79#2712C2214yes—
80#2711C2214yes—
81#2710C2214yescomplemented
82#2708C2214yescomplemented
83#2705C2214yes—
84#2704C2214yescomplemented
85#2702C2214yes—
86#2702C2214yes—
87#2702C2214yes—
88#2701C2214yes—
89#2696C2214yescomplemented
90#2693C2214yes—
91#2692C2214yescomplemented
92#2689C2214yescomplemented
93#2687C2214yescomplemented
94#2683C2214yes—
95#2681C2214yes—
96#2681C2214yes—
97#2681C2214yes—
98#2676C2214yes—
99#2676C2214yes—
100#2676C2214yes—
101#2674C2214yescomplemented
102#2674C2214yescomplemented
103#2673C2214yes—
104#2672C2214yes—
105#2671C2214yes—
106#2663C2212yes—
107#2663C2212yes—
108#2662C2214yes—
109#2661C2212yes—
110#2661C2212yes—
111#2661C2214yes—
112#2659C2211yescharacteristic
113#2656C2211yescharacteristic
114#2656C2212yes—
115#2651C2214yes—
116#2649C2214yes—
117#2646C2212yes—
118#2639C2212yes—
119#2639C2214yes—
120#2639C2212yes—
121#2637C2214yes—
122#2635C2214yes—
123#2629C2212yes—
124#2620C2212yes—
125#2617C2212yes—
126#2617C2211yescharacteristic
127#2617C2211yescharacteristic
128#2617C2212yes—
129#2616C2212yes—
130#2615C2214yes—
131#2615C2212yes—
132#2592C2214yes—
133#2589C2214yescomplemented
134#2589C2214yescomplemented
135#2586C2214yescomplemented
136#2563C2211yescharacteristic, complemented
137#2562C2212yes—
138#2559C2214yes—
139#2557C2214yes—
140#2554C2214yescomplemented
141#2552C2211yescharacteristic, complemented
142#2552C2211yescharacteristic, complemented
143#2549C2214yescomplemented
144#2547C2212yescomplemented
145#2543C2214yes—
146#2543C2214yes—
147#2543C2214yes—
148#2543C2214yes—
149#2542C2212yescomplemented
150#2541C2211yescharacteristic, complemented
151#2540C2212yes—
152#2538C2212yes—
153#2537C2212yes—
154#2521C2214yescomplemented
155#2516C2214yes—
156#2512C2212yescomplemented
157#2511C2212yescomplemented
158#2509C2212yescomplemented
159#2502C2212yescomplemented
160#2497C2212yescomplemented
161#2496C2212yes—
162#2492C2212yes—
163#2492C2212yes—
164#2492C2214yes—
165#2492C2212yes—
166#2492C2212yes—
167#2492C2214yes—
168#2492C2212yescomplemented
169#2491C2212yes—
170#2491C2212yescomplemented
171#2491C2212yescomplemented
172#2490C2212yescomplemented
173#2489C2212yescomplemented
174#2488C2214yescomplemented
175#2487C2212yes—
176#2485C2212yes—
177#2464C2214yes—
178#2454C2212yescomplemented
179#2453C2212yescomplemented
180#2450C2214yes—
181#2450C2214yes—
182#2450C2214yes—
183#2450C2214yescomplemented
184#2449C2214yes—
185#2448C2214yescomplemented
186#2448C2212yescomplemented
187#2447C2212yescomplemented
188#2445C2212yescomplemented
189#2444C2214yes—
190#2444C2214yes—
191#2443C2214yes—
192#2443C2214yes—
193#2440C2212yescomplemented
194#2440C2212yescomplemented
195#2432C2214yescomplemented
196#2431C2212yescomplemented
197#2431C2214yescomplemented
198#2430C2214yes—
199#2429C2214yescomplemented
200#2428C2212yes—
201#2427C2212yescomplemented
202#2424C2214yes—
203#2424C2214yes—
204#2424C2214yes—
205#2424C2214yes—
206#2423C2212yescomplemented
207#2423C2214yescomplemented
208#2422C2212yes—
209#2417C2212yes—
210#2417C2212yescomplemented
211#2416C2214yes—
212#2416C2212yes—
213#2416C2212yes—
214#2416C2212yes—
215#2415C2212yescomplemented
216#2409C2212yes—
217#2409C2214yes—
218#2407C2212yes—
219#2407C2212yescomplemented
220#2407C2212yescomplemented
221#2407C2214yescomplemented
222#2395C2212yes—
223#2395C2212yes—
224C2×#400C2212yes—
225#2388C2212yes—
226#2388C2212yes—
227C2×#393C2212yes—
228#2369C2211yescharacteristic, complemented
229#2366C2211yescharacteristic, complemented
230#2365C2212yescomplemented
231#2363C2212yescomplemented
232#2362C2212yescomplemented
233#2354C2211yescharacteristic, complemented
234#2349C2214yes—
235D4×C4⋊C4C2212yes—
236D4×C4⋊C4C2212yes—
237D4×C4⋊C4C2211yescharacteristic, complemented
238#2345C2212yescomplemented
239#2339C2212yescomplemented
240#2325C2212yes—
241#2325C2212yes—
242#2325C2212yes—
243#2324C2212yes—
244#2323C2212yes—
245#2311C2212yes—
246C4×#121C2211yescharacteristic
247C4×#121C2212yes—
248C4×#121C2211yescharacteristic
249C4×#121C2212yes—
250C4×#121C2212yes—
251C4×#121C2212yes—
252C2×#391C2211yescharacteristic
253C2×#391C2212yes—
254C2×#391C2211yescharacteristic
255C2×#388C2212yes—
256C2×#380C2211yescharacteristic
257C2×C4×C4⋊C4C2211yescharacteristic
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41C2312yes—
260C22×#41C2312yes—
261C22×#41C2314yes—
262C23×Q8C2311yescharacteristic
263C23×Q8C2312yes—
264C24×C4C2311yescharacteristic
265#553—48no—
266#548—48no—
267#548—416no—
268#547—48no—
269#538—48no—
270#537—48no—
271C2×C4⋊Q8—44no—
272C2×C4⋊Q8C2312yes—
273C2×C4⋊Q8C2311yescharacteristic
274C2×C4⋊Q8C2314yes—
275C2×C4⋊Q8C2312yes—
276C2×#127C2311yescharacteristic
277C2×#127C2312yes—
278C2×#126C2314yes—
279C2×#126C2314yes—
280C2×#125C2312yes—
281C2×#125C2312yes—
282C2×#124C2314yes—
283C2×#124C2314yes—
284C2×#124C2312yes—
285C2×#124C2314yes—
286C2×#124C2314yes—
287C2×#124C2314yes—
288#525—48no—
289C2×#123C2312yes—
290C2×#123C2312yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×C22⋊Q8—44no—
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2312yes—
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⋊Q8C2314yes—
307C2×C22⋊Q8C2314yes—
308C2×C22⋊Q8C2314yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2314yes—
312C2×#121C2311yescharacteristic
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2311yescharacteristic
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#120C2314yes—
336C2×#120C2312yes—
337C2×#120C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2314yes—
340C2×C4×D4C2314yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C22×C4⋊C4C2312yes—
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2311yescharacteristic
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2311yescharacteristic
363C22×C4⋊C4C2312yes—
364C22×C4⋊C4C2312yes—
365C22×C22⋊C4C2311yescharacteristic
366C22×C22⋊C4C2311yescharacteristic
367C22×C22⋊C4C2312yes—
368C22×C22⋊C4C2312yes—
369C22×C42C2311yescharacteristic
370C22×C42C2311yescharacteristic
371C22×C42C2312yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2312yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#399C2314yes—
388#399C2314yes—
389#399C2314yes—
390#399C2314yes—
391#399C2314yes—
392#399C2314yes—
393#399C2312yes—
394#399C2312yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2314yes—
408#398C2312yes—
409#397C2314yes—
410#397C2314yes—
411#397C2312yes—
412#397C2314yes—
413#397C2312yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2312yes—
422#397C2312yes—
423#397C2314yes—
424#397C2312yes—
425#397C2314yes—
426#397C2312yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#395C2314yes—
440#395C2312yes—
441#395C2314yes—
442#395C2314yes—
443#395C2312yes—
444#395C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2312yes—
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#394C2312yes—
463#394C2312yes—
464#394C2312yes—
465#394C2312yes—
466#394C2312yes—
467#394C2312yes—
468#394C2312yes—
469#394C2312yes—
470#394C2314yes—
471#394C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2312yes—
484#393C2312yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#392C2312yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2312yes—
498#392C2314yes—
499#392C2314yes—
500#392C2312yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2312yes—
505#392C2314yes—
506#392C2312yes—
507#392C2312yes—
508#391C2314yes—
509#391C2314yes—
510#391C2312yes—
511#391C2314yes—
512#391C2314yes—
513#391C2312yes—
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2314yes—
523#391C2314yes—
524#391C2314yes—
525#391C2312yes—
526#391C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2311yescharacteristic
543#390C2311yescharacteristic
544#390C2314yes—
545#390C2312yes—
546#390C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2314yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2312yes—
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#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
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#386C2312yes—
628#386C2314yes—
629#386C2312yes—
630#386C2312yes—
631#386C2312yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#384C2311yescharacteristic
657#384C2312yes—
658#384C2311yescharacteristic
659#384C2312yes—
660#384C2312yes—
661#382C2312yes—
662#382C2314yes—
663#381C2314yes—
664#381C2314yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2311yescharacteristic
674#380C2312yes—
675#380C2312yes—
676#380C2314yes—
677#380C2312yes—
678#380C2312yes—
679#380C2314yes—
680#380C2312yes—
681#380C2314yes—
682#380C2311yescharacteristic
683#380C2314yes—
684#380C2314yes—
685#380C2314yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2311yescharacteristic
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2314yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2311yescharacteristic
693C4×C4⋊C4C2311yescharacteristic
694C4×C4⋊C4C2311yescharacteristic
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2311yescharacteristic
698C4×C4⋊C4C2311yescharacteristic
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712C2×#95C2312yes—
713C2×#95C2311yescharacteristic
714C2×#95C2314yes—
715C2×#95C2312yes—
716C2×#95C2311yescharacteristic
717C2×#95C2312yes—
718C2×#95C2312yes—
719C2×#95C2312yes—
720C2×#95C2312yes—
721C25C2411yescharacteristic
722C2×#41—44no—
723C2×#41—44no—
724C2×#41—44no—
725C2×#41—44no—
726C2×#41—48no—
727C2×#41—44no—
728C2×#41—48no—
729C2×#41—44no—
730C2×#41—84no—
731C22×Q8—28no—
732C22×Q8—24no—
733C22×Q8—42no—
734C22×Q8—44no—
735C22×Q8—42no—
736C22×Q8—82no—
737C22×Q8C2412yes—
738C22×Q8C2414yes—
739C22×Q8C2412yes—
740C22×Q8C2414yes—
741C22×Q8C2412yes—
742C22×Q8C2412yes—
743C22×D4C2414yes—
744C22×D4C2412yes—
745C22×D4C2412yes—
746C22×D4C2412yes—
747C22×D4C2411yescharacteristic
748C22×D4C2412yes—
749C22×D4C2411yescharacteristic
750C22×D4C2412yes—
751C22×D4C2414yes—
752C22×D4C2412yes—
753C22×D4C2412yes—
754C22×D4C2414yes—
755C22×D4C2412yes—
756C22×D4C2412yes—
757C22×D4C2414yes—
758C22×D4C2412yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2412yes—
763C23×C4—24no—
764C23×C4—42no—
765C23×C4—42no—
766C23×C4C2412yes—
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2412yes—
770C23×C4C2411yescharacteristic
771C23×C4C2412yes—
772C23×C4C2411yescharacteristic
773C23×C4C2412yes—
774C23×C4C2412yes—
775C23×C4C2411yescharacteristic
776C23×C4C2411yescharacteristic
777C23×C4C2414yes—
778C23×C4C2414yes—
779C23×C4C2412yes—
780C23×C4C2414yes—
781C23×C4C2414yes—
782C23×C4C2414yes—
783C23×C4C2411yescharacteristic
784C23×C4C2411yescharacteristic
785C4⋊Q8—28no—
786C4⋊Q8—44no—
787C4⋊Q8—42no—
788C4⋊Q8—48no—
789#127—42no—
790#127—82no—
791#126—48no—
792#126—48no—
793#125—44no—
794#125—82no—
795#124—48no—
796#124—44no—
797#124—48no—
798#124—48no—
799#124—48no—
800#124—48no—
801#123—48no—
802#123—44no—
803#123—44no—
804#123—48no—
805#123—48no—
806#123—48no—
807C22⋊Q8—28no—
808C22⋊Q8—44no—
809C22⋊Q8—44no—
810C22⋊Q8—48no—
811C22⋊Q8—48no—
812C22⋊Q8—48no—
813C22⋊Q8—48no—
814C22⋊Q8—48no—
815C22⋊Q8—48no—
816C22⋊Q8—44no—
817C22⋊Q8—44no—
818C22⋊Q8—44no—
819C22⋊Q8—44no—
820C22⋊Q8—44no—
821C22⋊Q8—48no—
822C22⋊Q8—84no—
823#121—28no—
824#121—28no—
825#121—24no—
826#121—24no—
827#121—28no—
828#121—28no—
829#121—44no—
830#121—48no—
831#121—48no—
832#121—48no—
833#121—44no—
834#121—44no—
835#121—48no—
836#121—44no—
837#121—44no—
838#121—44no—
839#121—44no—
840#121—48no—
841#121—48no—
842#121—48no—
843#121—48no—
844#121—84no—
845#121—84no—
846#120—44no—
847#120—44no—
848#120—48no—
849C4×Q8—44no—
850C4×Q8—48no—
851C4×D4—28no—
852C4×D4—28no—
853C4×D4—216no—
854C4×D4—44no—
855C4×D4—44no—
856C4×D4—42no—
857C4×D4—42no—
858C4×D4—44no—
859C4×D4—44no—
860C4×D4—44no—
861C4×D4—48no—
862C4×D4—48no—
863C4×D4—48no—
864C4×D4—48no—
865C4×D4—82no—
866C4×D4—82no—
867#117—44no—
868#117—44no—
869C2×C4⋊C4—24no—
870C2×C4⋊C4—24no—
871C2×C4⋊C4—28no—
872C2×C4⋊C4—44no—
873C2×C4⋊C4—42no—
874C2×C4⋊C4—44no—
875C2×C4⋊C4—44no—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C22⋊C4—24no—
930C2×C22⋊C4—24no—
931C2×C22⋊C4—44no—
932C2×C22⋊C4—82no—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C42—42no—
995C2×C42—42no—
996C2×C42—82no—
997C2×C42C2412yes—
998C2×C42C2412yes—
999C2×C42C2412yes—
1000C2×C42C2414yes—
1001C2×C42C2411yescharacteristic
1002C2×C42C2411yescharacteristic
1003C2×C42C2414yes—
1004C2×C42C2414yes—
1005C2×C42C2414yes—
1006C2×C42C2414yes—
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014#95C2412yes—
1015#95C2414yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2414yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066C24—22no—
1067C24—22no—
1068C24—22no—
1069C24—41no—
1070C24—41no—
1071C24—41no—
1072C24—41no—
1073C24C2512yes—
1074C24C2514yes—
1075C24C2512yes—
1076C24C2512yes—
1077C24C2511yescharacteristic
1078#41—816no—
1079#41—816no—
1080#41—832no—
1081C2×Q8—28no—
1082C2×Q8—24no—
1083C2×Q8—24no—
1084C2×Q8—28no—
1085C2×Q8—24no—
1086C2×Q8—28no—
1087C2×Q8—24no—
1088C2×Q8—44no—
1089C2×Q8—42no—
1090C2×Q8—42no—
1091C2×Q8—42no—
1092C2×Q8—44no—
1093C2×Q8—44no—
1094C2×Q8—42no—
1095C2×Q8—42no—
1096C2×Q8—42no—
1097C2×Q8—42no—
1098C2×Q8—42no—
1099C2×Q8—88no—
1100C2×Q8—816no—
1101C2×D4—24no—
1102C2×D4—24no—
1103C2×D4—28no—
1104C2×D4—24no—
1105C2×D4—24no—
1106C2×D4—28no—
1107C2×D4—24no—
1108C2×D4—28no—
1109C2×D4—24no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—24no—
1113C2×D4—28no—
1114C2×D4—22no—
1115C2×D4—22no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—41no—
1119C2×D4—42no—
1120C2×D4—41no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—41no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—44no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—44no—
1140C2×D4—42no—
1141C2×D4—41no—
1142C2×D4—44no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—42no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—42no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—42no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—24no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—22no—
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—24no—
1180C22×C4—28no—
1181C22×C4—28no—
1182C22×C4—24no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—42no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—41no—
1195C22×C4—42no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—42no—
1205C22×C4—44no—
1206C22×C4—42no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—88no—
1216C22×C4H(5,𝔽2)14yes—
1217C22×C4H(5,𝔽2)14yes—
1218C22×C42−1+414yes—
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2512yes—
1223C22×C4C2514yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2514yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2514yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2514yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2514yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C4⋊C4—24no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—28no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—28no—
1252C4⋊C4—28no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—28no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—42no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—41no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—41no—
1294C4⋊C4—42no—
1295C4⋊C4H(5,𝔽2)14yes—
1296C22⋊C4—24no—
1297C22⋊C4—28no—
1298C22⋊C4—24no—
1299C22⋊C4—24no—
1300C22⋊C4—24no—
1301C22⋊C4—28no—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—28no—
1305C22⋊C4—28no—
1306C22⋊C4—24no—
1307C22⋊C4—24no—
1308C22⋊C4—28no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—28no—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—42no—
1318C22⋊C4—44no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C42—24no—
1358C42—24no—
1359C42—24no—
1360C42—28no—
1361C42—22no—
1362C42—22no—
1363C42—41no—
1364C42—41no—
1365C42—42no—
1366C42—42no—
1367C42—42no—
1368C42—42no—
1369C42—42no—
1370C42—44no—
1371C42—44no—
1372C42—44no—
1373C42—44no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—22no—
1379C23—22no—
1380C23—24no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—24no—
1386C23—24no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—24no—
1394C23—22no—
1395C23—22no—
1396C23—24no—
1397C23—22no—
1398C23—22no—
1399C23—24no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—24no—
1405C23—22no—
1406C23—44no—
1407C23—44no—
1408C23—44no—
1409C23—82no—
1410C23—82no—
1411C23—82no—
1412C23—82no—
1413C23C2×H(5,𝔽2)12yes—
1414C23C2×H(5,𝔽2)12yes—
1415C23C2×2−1+412yes—
1416C23C2611yescharacteristic
1417Q8—416no—
1418Q8—48no—
1419Q8—84no—
1420Q8—88no—
1421Q8—84no—
1422Q8—162no—
1423D4—44no—
1424D4—48no—
1425D4—48no—
1426D4—48no—
1427D4—416no—
1428D4—48no—
1429D4—82no—
1430D4—84no—
1431D4—88no—
1432D4—84no—
1433D4—84no—
1434D4—84no—
1435D4—84no—
1436D4—84no—
1437D4—88no—
1438D4—88no—
1439D4—164no—
1440D4—164no—
1441D4—162no—
1442D4—164no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—28no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—24no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—48no—
1511C2×C4—44no—
1512C2×C4—48no—
1513C2×C4—48no—
1514C2×C4—48no—
1515C2×C4—84no—
1516C2×C4—88no—
1517C2×C4—88no—
1518C2×C4—84no—
1519C2×C4—82no—
1520C2×C4—82no—
1521C2×C4—84no—
1522C2×C4—84no—
1523C2×C4—88no—
1524C2×C4—88no—
1525C2×C4—164no—
1526C2×C4C2×H(5,𝔽2)14yes—
1527C2×C4C2×H(5,𝔽2)12yes—
1528C2×C4C2×H(5,𝔽2)14yes—
1529C2×C4C2×H(5,𝔽2)12yes—
1530C2×C4C2×H(5,𝔽2)12yes—
1531C2×C4C2×2−1+412yes—
1532C2×C4C2×2−1+412yes—
1533C2×C4#58512yes—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—44no—
1544C22—42no—
1545C22—42no—
1546C22—44no—
1547C22—42no—
1548C22—44no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—44no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—44no—
1559C22—42no—
1560C22—44no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22—44no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22—88no—
1569C22#354814yes—
1570C22C22×H(5,𝔽2)11yescharacteristic
1571C22C22×H(5,𝔽2)11yescharacteristic
1572C22C22×H(5,𝔽2)11yescharacteristic
1573C22C22×2−1+411yescharacteristic
1574C22C2×#58511yescharacteristic
1575C22H(7,𝔽2)11yescharacteristic
1576C222−1+611yescharacteristic
1577C4—22no—
1578C4—24no—
1579C4—24no—
1580C4—22no—
1581C4—22no—
1582C4—42no—
1583C4—42no—
1584C4—42no—
1585C4—44no—
1586C4—42no—
1587C4—42no—
1588C4—44no—
1589C4—42no—
1590C4—42no—
1591C4—42no—
1592C4—42no—
1593C4—42no—
1594C4—44no—
1595C4—44no—
1596C4—42no—
1597C4—41no—
1598C4—41no—
1599C4—44no—
1600C4#355814yes—
1601C2—24no—
1602C2—82no—
1603C2—82no—
1604C2—84no—
1605C2—82no—
1606C2C2×#355811yescharacteristic
1607C2C2×#354811yescharacteristic
1608C2#6287811yescharacteristic
1609C2#6289211yescharacteristic
1610C2#6290211yescharacteristic
1611C2#6291311yescharacteristic
1612C2#6293111yescharacteristic
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. #59806C2semidirect
2. #59125C2semidirect
3. #56919C2semidirect
4. #54971C2semidirect
5. #54010C2semidirect
6. #53550C2semidirect
7. #53046C2semidirect
8. #52959C2semidirect
9. #52451C2semidirect
10. #45076C2semidirect
11. #44869C2semidirect
12. #42920C2semidirect
13. #42547C2semidirect
14. #42534C2semidirect
15. #42421C2semidirect
16. #40489C2semidirect
17. #39743C2semidirect
18. #39743C2semidirect
19. #39668C2semidirect
20. #39632C2semidirect
21. #37836C2semidirect
22. #37649C2semidirect
23. #37459C2semidirect
24. #36759C2semidirect
25. #36596C2semidirect
26. #36551C2semidirect
27. #35005C2semidirect
28. C2×#2492C2semidirect
29. #34575C2semidirect
33. C2×#547C22semidirect
44. #2839C22semidirect
46. #2836C22semidirect
47. #2832C22semidirect
48. #2831C22semidirect
50. #2827C22semidirect
51. #2826C22semidirect
52. #2824C22semidirect
55. #2813C22semidirect
56. #2806C22semidirect
57. #2804C22semidirect
59. #2798C22semidirect
62. #2788C22semidirect
63. #2779C22semidirect
64. #2763C22semidirect
65. #2755C22semidirect
68. #2751C22semidirect
69. #2747C22semidirect
70. #2743C22semidirect
71. #2733C22semidirect
72. #2733C22semidirect
73. #2732C22semidirect
74. #2732C22semidirect
75. #2730C22semidirect
76. #2730C22semidirect
77. #2730C22semidirect
81. #2710C22semidirect
82. #2708C22semidirect
84. #2704C22semidirect
89. #2696C22semidirect
91. #2692C22semidirect
92. #2689C22semidirect
93. #2687C22semidirect
101. #2674C22semidirect
102. #2674C22semidirect
133. #2589C22semidirect
134. #2589C22semidirect
135. #2586C22semidirect
136. #2563C22semidirect
140. #2554C22semidirect
141. #2552C22semidirect
142. #2552C22semidirect
143. #2549C22semidirect
144. #2547C22semidirect
149. #2542C22semidirect
150. #2541C22semidirect
154. #2521C22semidirect
156. #2512C22semidirect
157. #2511C22semidirect
158. #2509C22semidirect
159. #2502C22semidirect
160. #2497C22semidirect
168. #2492C22semidirect
170. #2491C22semidirect
171. #2491C22semidirect
172. #2490C22semidirect
173. #2489C22semidirect
174. #2488C22semidirect
178. #2454C22semidirect
179. #2453C22semidirect
183. #2450C22semidirect
185. #2448C22semidirect
186. #2448C22semidirect
187. #2447C22semidirect
188. #2445C22semidirect
193. #2440C22semidirect
194. #2440C22semidirect
195. #2432C22semidirect
196. #2431C22semidirect
197. #2431C22semidirect
199. #2429C22semidirect
201. #2427C22semidirect
206. #2423C22semidirect
207. #2423C22semidirect
210. #2417C22semidirect
215. #2415C22semidirect
219. #2407C22semidirect
220. #2407C22semidirect
221. #2407C22semidirect
228. #2369C22semidirect
229. #2366C22semidirect
230. #2365C22semidirect
231. #2363C22semidirect
232. #2362C22semidirect
233. #2354C22semidirect
237. D4×C4⋊C4C22semidirect
238. #2345C22semidirect
239. #2339C22semidirect

Maximal subgroups

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

subgroupindex
#598062
#591252
#569192
#549712
#540102
#535502
#530462
#529592
#524512
#450762
#448692
#429202
#425472
#425342
#424212
#404892
#397432
#396682
#396322
#378362
#376492
#374592
#367592
#365962
#365512
#350052
C2×#24922
#345752