Finite Group Databasebeta

← #7712235

Subgroups — #7712235

Order 512.

4597 conjugacy classes of subgroups.

The subgroup lattice has 1782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59714C212yesmaximal, complemented
2#59502C212yesmaximal, complemented
3#59152C212yesmaximal, complemented
4#59138C212yesmaximal
5#46060C212yesmaximal, complemented
6#46051C212yesmaximal, complemented
7#45656C212yesmaximal
8#45611C212yesmaximal, complemented
9#40212C212yesmaximal, complemented
10#40189C212yesmaximal, complemented
11#40124C212yesmaximal, complemented
12#40055C212yesmaximal, complemented
13#40024C212yesmaximal, complemented
14#39955C212yesmaximal, complemented
15#39936C212yesmaximal, complemented
16#39913C212yesmaximal, complemented
17#39680C212yesmaximal, complemented
18#39544C212yesmaximal, complemented
19#37962C212yesmaximal, complemented
20#37938C212yesmaximal, complemented
21#37597C212yesmaximal, complemented
22#37291C212yesmaximal, complemented
23#37279C212yesmaximal
24#36645C211yesmaximal, characteristic, complemented
25#36635C211yesmaximal, characteristic, complemented
26#36574C211yesmaximal, characteristic, complemented
27#36560C211yesmaximal, characteristic, complemented
28#36210C211yesmaximal, characteristic, complemented
29#36210C211yesmaximal, characteristic, complemented
30#36210C211yesmaximal, characteristic, complemented
31#36194C211yesmaximal, characteristic, complemented
32#36189C211yesmaximal, characteristic, complemented
33#36181C211yesmaximal, characteristic, complemented
34#35294C211yesmaximal, characteristic, complemented
35#35283C211yesmaximal, characteristic, complemented
36#35283C211yesmaximal, characteristic, complemented
37#35275C211yesmaximal, characteristic, complemented
38#34434C212yesmaximal, complemented
39C4×#529C211yesmaximal, characteristic
40C2×#557C2212yes—
41C2×#552C2212yes—
42C2×#544C2212yes—
43C2×#533C2212yes—
44C2×#529C2211yescharacteristic
45#2868C2211yescharacteristic
46#2868C2211yescharacteristic
47#2868C2211yescharacteristic
48#2864C2212yes—
49#2863C2212yes—
50#2863C2212yes—
51#2862C2211yescharacteristic
52#2862C2212yes—
53#2859C2212yes—
54#2859C2211yescharacteristic
55#2859C2211yescharacteristic
56#2859C2211yescharacteristic
57#2859C2211yescharacteristic
58#2859C2211yescharacteristic
59#2859C2211yescharacteristic
60#2857C2211yescharacteristic
61#2857C2211yescharacteristic
62#2857C2212yes—
63#2857C2212yes—
64#2857C2212yes—
65#2857C2212yes—
66#2857C2211yescharacteristic
67#2857C2211yescharacteristic
68#2857C2211yescharacteristic
69#2857C2211yescharacteristic
70#2855C2212yes—
71#2855C2212yes—
72#2851C2212yes—
73#2833C2214yes—
74#2831C2214yes—
75#2809C2214yes—
76#2802C2214yes—
77#2799C2214yes—
78#2776C2214yes—
79#2775C2214yes—
80#2766C2214yes—
81#2764C2214yes—
82#2762C2214yes—
83#2762C2214yes—
84#2759C2214yes—
85#2758C2214yes—
86#2758C2214yes—
87#2745C2214yes—
88#2745C2214yes—
89#2744C2214yes—
90#2743C2214yes—
91#2740C2214yes—
92#2739C2214yes—
93#2738C2214yes—
94#2719C2214yes—
95#2719C2214yes—
96#2716C2214yes—
97#2713C2214yes—
98#2704C2214yes—
99#2698C2214yes—
100#2694C2214yes—
101#2694C2214yes—
102#2690C2214yes—
103#2687C2214yes—
104#2681C2214yes—
105#2677C2214yes—
106#2674C2214yes—
107#2664C2214yes—
108#2660C2212yes—
109#2660C2212yes—
110#2655C2214yes—
111#2655C2214yes—
112#2654C2214yes—
113#2647C2212yes—
114#2647C2212yes—
115#2629C2212yes—
116#2628C2212yes—
117#2628C2212yes—
118#2628C2212yes—
119#2611C2214yes—
120#2604C2214yes—
121#2596C2214yes—
122#2590C2214yes—
123#2588C2214yes—
124#2584C2212yes—
125#2584C2212yes—
126#2581C2212yes—
127#2575C2214yes—
128#2571C2212yes—
129#2570C2212yes—
130#2570C2212yes—
131#2570C2212yes—
132#2568C2212yes—
133#2565C2212yes—
134#2565C2212yes—
135#2565C2212yes—
136#2563C2212yes—
137#2562C2212yes—
138#2562C2212yes—
139#2562C2212yes—
140#2560C2214yes—
141#2556C2214yes—
142#2552C2212yes—
143#2552C2212yes—
144#2551C2212yes—
145#2551C2212yes—
146#2550C2212yes—
147#2550C2212yes—
148#2546C2212yes—
149#2546C2212yes—
150#2538C2212yes—
151#2533C2214yes—
152#2528C2214yes—
153#2514C2212yes—
154#2514C2212yes—
155#2514C2212yes—
156#2511C2212yes—
157#2511C2212yes—
158#2511C2212yes—
159#2511C2212yes—
160#2511C2212yes—
161#2509C2212yes—
162#2509C2212yes—
163#2509C2212yes—
164#2509C2212yes—
165#2509C2212yes—
166#2508C2212yes—
167#2508C2212yes—
168#2507C2212yes—
169#2506C2212yes—
170#2506C2212yes—
171#2506C2212yes—
172#2506C2212yes—
173#2506C2212yes—
174#2506C2212yes—
175#2503C2212yes—
176#2499C2212yes—
177#2497C2212yes—
178#2497C2212yes—
179#2497C2212yes—
180#2496C2212yes—
181#2496C2212yes—
182#2495C2212yes—
183#2495C2212yes—
184#2495C2212yes—
185#2494C2212yes—
186#2494C2212yes—
187#2494C2212yes—
188#2494C2212yes—
189#2494C2212yes—
190#2494C2212yes—
191#2492C2212yes—
192#2492C2212yes—
193#2492C2212yes—
194#2492C2212yes—
195#2492C2212yes—
196#2492C2212yes—
197#2487C2212yes—
198#2486C2212yes—
199#2486C2212yes—
200#2485C2212yes—
201#2485C2212yes—
202#2485C2212yes—
203#2477C2214yes—
204#2469C2214yes—
205#2465C2214yes—
206#2462C2214yes—
207#2462C2214yes—
208#2458C2214yes—
209#2453C2214yes—
210#2453C2212yes—
211#2453C2212yes—
212#2451C2214yes—
213#2451C2212yes—
214#2451C2212yes—
215#2451C2212yes—
216#2451C2212yes—
217#2442C2212yes—
218#2441C2212yes—
219#2441C2212yes—
220#2441C2212yes—
221#2440C2212yes—
222#2440C2212yes—
223#2440C2212yes—
224#2440C2212yes—
225#2439C2212yes—
226#2439C2212yes—
227#2439C2212yes—
228#2439C2212yes—
229#2423C2212yes—
230#2423C2212yes—
231#2423C2212yes—
232#2423C2212yes—
233#2423C2212yes—
234#2421C2212yes—
235#2421C2212yes—
236#2421C2212yes—
237#2417C2212yes—
238#2415C2212yes—
239#2415C2212yes—
240#2415C2212yes—
241#2381C2214yes—
242#2378C2214yes—
243#2370C2212yes—
244#2370C2212yes—
245#2370C2212yes—
246#2370C2212yes—
247#2370C2212yes—
248#2369C2212yes—
249#2365C2214yes—
250#2365C2212yes—
251#2365C2212yes—
252#2362C2212yes—
253#2362C2214yes—
254#2362C2212yes—
255#2362C2212yes—
256#2360C2212yes—
257#2355C2212yes—
258#2354C2212yes—
259#2352C2212yes—
260#2351C2212yes—
261#2347C2212yes—
262#2347C2212yes—
263#2347C2212yes—
264#2345C2212yes—
265#2344C2212yes—
266#2344C2212yes—
267#2336C2214yes—
268#2336C2214yes—
269#2332C2214yes—
270#2331C2212yes—
271#2331C2212yes—
272#2331C2212yes—
273#2330C2212yes—
274#2323C2214yes—
275#2317C2212yes—
276#2314C2212yes—
277#2314C2212yes—
278C4×C4⋊Q8C2212yes—
279C4×C4⋊Q8C2212yes—
280C4×C4⋊Q8C2211yescharacteristic
281C4×C4⋊Q8C2211yescharacteristic
282C4×C4⋊Q8C2212yes—
283C4×C4⋊Q8C2212yes—
284C4×C4⋊Q8C2211yescharacteristic
285C4×C4⋊Q8C2211yescharacteristic
286C4×C4⋊Q8C2211yescharacteristic
287C4×C4⋊Q8C2211yescharacteristic
288C4×#125C2212yes—
289C4×#125C2211yescharacteristic
290C4×#125C2211yescharacteristic
291C4×#126C2211yescharacteristic
292C4×#126C2211yescharacteristic
293C4×#126C2211yescharacteristic
294C4×#126C2211yescharacteristic
295C4×#124C2211yescharacteristic
296C4×#124C2211yescharacteristic
297C4×C22⋊Q8C2212yes—
298C4×C22⋊Q8C2211yescharacteristic
299C4×C22⋊Q8C2212yes—
300C4×C22⋊Q8C2211yescharacteristic
301C4×#123C2211yescharacteristic
302C4×#123C2211yescharacteristic
303C4×#123C2211yescharacteristic
304C4×#123C2211yescharacteristic
305C4×#121C2211yescharacteristic
306C4×#121C2211yescharacteristic
307#2298C2211yescharacteristic
308#2298C2211yescharacteristic
309#2295C2211yescharacteristic
310#2295C2212yes—
311#2295C2212yes—
312#2293C2211yescharacteristic
313#2290C2211yescharacteristic
314#2290C2211yescharacteristic
315#2285C2212yes—
316#2285C2211yescharacteristic
317#2285C2211yescharacteristic
318#2285C2211yescharacteristic
319#2285C2211yescharacteristic
320#2285C2211yescharacteristic
321C2×#384C2211yescharacteristic
322#2283C2212yes—
323#2283C2211yescharacteristic
324C42×Q8C2211yescharacteristic
325C42×D4C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C42×D4C2211yescharacteristic
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C2×C43C2211yescharacteristic
331#557—48no—
332#552—48no—
333#544—216no—
334#533—48no—
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2314yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2314yes—
348#529—28no—
349C2×#126C2311yescharacteristic
350C2×#126C2311yescharacteristic
351C2×#126C2314yes—
352C2×#125C2311yescharacteristic
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2312yes—
356C2×#125C2312yes—
357C2×#125C2314yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2314yes—
361C2×#125C2314yes—
362C2×#125C2314yes—
363C2×#124C2311yescharacteristic
364C2×#123C2311yescharacteristic
365C2×#123C2311yescharacteristic
366C2×#123C2314yes—
367C2×C22⋊Q8C2314yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2311yescharacteristic
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2314yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×#121C2311yescharacteristic
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2314yes—
383C2×C4×Q8C2314yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2314yes—
390C2×C4×Q8C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2312yes—
403C2×#117C2311yescharacteristic
404C2×#117C2314yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2311yescharacteristic
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2311yescharacteristic
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2311yescharacteristic
422#401C2314yes—
423#401C2314yes—
424#401C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#391C2314yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2314yes—
507#391C2312yes—
508#391C2312yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2314yes—
516#391C2314yes—
517#391C2314yes—
518#391C2314yes—
519#391C2314yes—
520#391C2314yes—
521#391C2314yes—
522#391C2314yes—
523#391C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2311yescharacteristic
533#391C2311yescharacteristic
534#390C2314yes—
535#390C2311yescharacteristic
536#390C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2314yes—
606#388C2311yescharacteristic
607#388C2311yescharacteristic
608#388C2311yescharacteristic
609#388C2311yescharacteristic
610#388C2311yescharacteristic
611#388C2311yescharacteristic
612#388C2311yescharacteristic
613#388C2311yescharacteristic
614#388C2311yescharacteristic
615#388C2311yescharacteristic
616#388C2311yescharacteristic
617#388C2311yescharacteristic
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2311yescharacteristic
631#388C2311yescharacteristic
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2311yescharacteristic
640#388C2311yescharacteristic
641#387C2311yescharacteristic
642#387C2311yescharacteristic
643#387C2311yescharacteristic
644#387C2311yescharacteristic
645#387C2311yescharacteristic
646#387C2311yescharacteristic
647#387C2311yescharacteristic
648#387C2311yescharacteristic
649#387C2311yescharacteristic
650#387C2311yescharacteristic
651#387C2311yescharacteristic
652#387C2311yescharacteristic
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2311yescharacteristic
657#387C2311yescharacteristic
658#387C2311yescharacteristic
659#387C2311yescharacteristic
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#386C2311yescharacteristic
705#386C2314yes—
706#386C2311yescharacteristic
707#386C2311yescharacteristic
708#386C2311yescharacteristic
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2311yescharacteristic
715#385C2311yescharacteristic
716#385C2311yescharacteristic
717#385C2311yescharacteristic
718#384C2312yes—
719#384C2312yes—
720#384C2312yes—
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2312yes—
728#384C2312yes—
729#384C2312yes—
730#384C2312yes—
731#384C2312yes—
732#384C2312yes—
733#384C2312yes—
734#384C2312yes—
735#384C2312yes—
736#383C2311yescharacteristic
737#383C2311yescharacteristic
738#383C2314yes—
739#383C2314yes—
740#383C2314yes—
741#383C2314yes—
742#382C2312yes—
743#382C2311yescharacteristic
744#382C2311yescharacteristic
745#382C2314yes—
746#382C2312yes—
747#382C2312yes—
748#382C2312yes—
749#382C2312yes—
750#382C2312yes—
751#382C2312yes—
752#382C2312yes—
753#382C2312yes—
754#382C2312yes—
755#382C2312yes—
756#382C2314yes—
757#382C2312yes—
758#382C2312yes—
759#381C2314yes—
760#381C2314yes—
761#381C2314yes—
762#381C2311yescharacteristic
763#381C2311yescharacteristic
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2314yes—
783#380C2312yes—
784#380C2312yes—
785#380C2314yes—
786#380C2314yes—
787#380C2312yes—
788#380C2311yescharacteristic
789#380C2312yes—
790#380C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2314yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2314yes—
837C4×C4⋊C4C2314yes—
838C4×C4⋊C4C2314yes—
839C4×C4⋊C4C2314yes—
840C4×C4⋊C4C2312yes—
841C4×C4⋊C4C2312yes—
842C4×C4⋊C4C2311yescharacteristic
843C4×C4⋊C4C2311yescharacteristic
844C4×C4⋊C4C2311yescharacteristic
845C4×C4⋊C4C2311yescharacteristic
846C4×C4⋊C4C2311yescharacteristic
847C4×C4⋊C4C2311yescharacteristic
848C4×C22⋊C4C2311yescharacteristic
849C4×C22⋊C4C2311yescharacteristic
850C4×C22⋊C4C2311yescharacteristic
851C4×C22⋊C4C2311yescharacteristic
852C4×C22⋊C4C2311yescharacteristic
853C4×C22⋊C4C2311yescharacteristic
854C4×C22⋊C4C2311yescharacteristic
855C4×C22⋊C4C2311yescharacteristic
856C4×C22⋊C4C2311yescharacteristic
857C4×C22⋊C4C2311yescharacteristic
858C4×C22⋊C4C2311yescharacteristic
859C4×C22⋊C4C2311yescharacteristic
860C4×C22⋊C4C2314yes—
861C4×C22⋊C4C2314yes—
862C4×C22⋊C4C2311yescharacteristic
863C4×C22⋊C4C2311yescharacteristic
864C4×C22⋊C4C2311yescharacteristic
865C4×C22⋊C4C2311yescharacteristic
866C4×C22⋊C4C2311yescharacteristic
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2311yescharacteristic
869C4×C22⋊C4C2311yescharacteristic
870C4×C22⋊C4C2311yescharacteristic
871C4×C22⋊C4C2311yescharacteristic
872C4×C22⋊C4C2311yescharacteristic
873C4×C22⋊C4C2311yescharacteristic
874C4×C22⋊C4C2311yescharacteristic
875C4×C22⋊C4C2311yescharacteristic
876#376C2311yescharacteristic
877#376C2311yescharacteristic
878#376C2311yescharacteristic
879#376C2314yes—
880#376C2311yescharacteristic
881C43C2311yescharacteristic
882C43C2311yescharacteristic
883C43C2311yescharacteristic
884C43C2311yescharacteristic
885C43C2311yescharacteristic
886C43C2311yescharacteristic
887C43C2311yescharacteristic
888C43C2311yescharacteristic
889C43C2311yescharacteristic
890C43C2311yescharacteristic
891C22×Q8C2412yes—
892C22×Q8C2412yes—
893C22×Q8C2411yescharacteristic
894C22×Q8C2414yes—
895C22×Q8C2414yes—
896C22×Q8C2414yes—
897C22×D4C2411yescharacteristic
898C22×D4C2411yescharacteristic
899C22×D4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2414yes—
914C4⋊Q8—216no—
915C4⋊Q8—28no—
916C4⋊Q8—28no—
917C4⋊Q8—24no—
918C4⋊Q8—24no—
919C4⋊Q8—28no—
920C4⋊Q8—44no—
921C4⋊Q8—44no—
922C4⋊Q8—44no—
923C4⋊Q8—44no—
924C4⋊Q8—44no—
925C4⋊Q8—44no—
926C4⋊Q8—48no—
927#126—24no—
928#126—24no—
929#126—48no—
930#125—24no—
931#125—216no—
932#125—28no—
933#125—28no—
934#125—28no—
935#125—28no—
936#125—44no—
937#125—48no—
938#125—44no—
939#125—48no—
940#125—48no—
941#124—24no—
942#123—24no—
943#123—24no—
944#123—48no—
945C22⋊Q8—28no—
946C22⋊Q8—24no—
947C22⋊Q8—216no—
948C22⋊Q8—216no—
949C22⋊Q8—48no—
950C22⋊Q8—48no—
951C22⋊Q8—44no—
952C22⋊Q8—44no—
953C22⋊Q8—44no—
954C22⋊Q8—44no—
955C22⋊Q8—44no—
956#121—24no—
957C4×Q8—24no—
958C4×Q8—28no—
959C4×Q8—24no—
960C4×Q8—42no—
961C4×Q8—48no—
962C4×Q8—48no—
963C4×Q8—48no—
964C4×Q8—44no—
965C4×Q8—44no—
966C4×Q8—44no—
967C4×Q8—44no—
968C4×Q8—44no—
969C4×D4—24no—
970C4×D4—24no—
971C4×D4—24no—
972C4×D4—24no—
973C4×D4—24no—
974C4×D4—24no—
975C4×D4—42no—
976C4×D4—42no—
977C4×D4—42no—
978#117—28no—
979#117—24no—
980#117—24no—
981#117—24no—
982#117—48no—
983#117—44no—
984#117—44no—
985#117—44no—
986#117—44no—
987#117#4118yes—
988C2×C4⋊C4—28no—
989C2×C4⋊C4—44no—
990C2×C4⋊C4—44no—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2411yescharacteristic
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2411yescharacteristic
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2411yescharacteristic
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C42—24no—
1113C2×C42—24no—
1114C2×C42—24no—
1115C2×C42—24no—
1116C2×C42—24no—
1117C2×C42—24no—
1118C2×C42—24no—
1119C2×C42—42no—
1120C2×C42—42no—
1121C2×C42C2411yescharacteristic
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2414yes—
1161C2×C42C2414yes—
1162C2×C42C2414yes—
1163C2×C42C2414yes—
1164C2×C42C2414yes—
1165C2×C42C2414yes—
1166C2×C42C2414yes—
1167C2×C42C2414yes—
1168C2×C42C2414yes—
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2411yescharacteristic
1188#95C2411yescharacteristic
1189#95C2411yescharacteristic
1190#95C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2411yescharacteristic
1199#95C2411yescharacteristic
1200#95C2411yescharacteristic
1201#95C2411yescharacteristic
1202#95C2411yescharacteristic
1203#95C2411yescharacteristic
1204#95C2411yescharacteristic
1205#95C2411yescharacteristic
1206#95C2411yescharacteristic
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2411yescharacteristic
1213#95C2411yescharacteristic
1214#95C2411yescharacteristic
1215#95C2411yescharacteristic
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2411yescharacteristic
1221#95C2411yescharacteristic
1222#95C2411yescharacteristic
1223#95C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2411yescharacteristic
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268C24C2511yescharacteristic
1269C24C2511yescharacteristic
1270C24C2511yescharacteristic
1271C2×Q8—22no—
1272C2×Q8—28no—
1273C2×Q8—28no—
1274C2×Q8—24no—
1275C2×Q8—22no—
1276C2×Q8—24no—
1277C2×Q8—24no—
1278C2×Q8—24no—
1279C2×Q8—28no—
1280C2×Q8—24no—
1281C2×Q8—24no—
1282C2×Q8—41no—
1283C2×Q8—44no—
1284C2×Q8—44no—
1285C2×Q8—44no—
1286C2×Q8—44no—
1287C2×Q8—44no—
1288C2×Q8—44no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—28no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4C2×#4114yes—
1339C22×C42−1+414yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2514yes—
1350C22×C4C2514yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2514yes—
1355C22×C4C2514yes—
1356C22×C4C2514yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2514yes—
1360C22×C4C2514yes—
1361C22×C4C2514yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C4⋊C4—28no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—28no—
1390C4⋊C4—28no—
1391C4⋊C4—28no—
1392C4⋊C4—28no—
1393C4⋊C4—28no—
1394C4⋊C4—28no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—28no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—28no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—28no—
1407C4⋊C4—28no—
1408C4⋊C4—28no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—24no—
1416C4⋊C4—28no—
1417C4⋊C4—28no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—41no—
1434C4⋊C4—41no—
1435C4⋊C4—41no—
1436C4⋊C4—41no—
1437C4⋊C4—41no—
1438C4⋊C4—41no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4C2×#4114yes—
1459C4⋊C4C2×#4114yes—
1460C22⋊C4—28no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—28no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—22no—
1470C22⋊C4—22no—
1471C22⋊C4—22no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—41no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4C2×#4114yes—
1496C22⋊C4C2×#4114yes—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—28no—
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—28no—
1506C42—22no—
1507C42—22no—
1508C42—22no—
1509C42—22no—
1510C42—22no—
1511C42—22no—
1512C42—22no—
1513C42—22no—
1514C42—22no—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—22no—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—22no—
1535C42—22no—
1536C42—41no—
1537C42—41no—
1538C42—41no—
1539C42—41no—
1540C42—44no—
1541C42—44no—
1542C42—44no—
1543C42—44no—
1544C42—44no—
1545C42—44no—
1546C42—44no—
1547C42—44no—
1548C42—44no—
1549C42C2×#4114yes—
1550C42C2×#4114yes—
1551C42H(5,𝔽2)14yes—
1552C422−1+414yes—
1553C422−1+414yes—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23C22×#4112yes—
1574C23C2×2−1+412yes—
1575C23C2611yescharacteristic
1576Q8—44no—
1577Q8—48no—
1578Q8—48no—
1579Q8—88no—
1580Q8—88no—
1581Q8—88no—
1582D4—44no—
1583D4—44no—
1584D4—44no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—28no—
1606C2×C4—28no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—24no—
1611C2×C4—21no—
1612C2×C4—24no—
1613C2×C4—21no—
1614C2×C4—24no—
1615C2×C4—24no—
1616C2×C4—21no—
1617C2×C4—24no—
1618C2×C4—24no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—24no—
1623C2×C4—24no—
1624C2×C4—24no—
1625C2×C4—24no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—24no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—24no—
1649C2×C4—21no—
1650C2×C4—24no—
1651C2×C4—24no—
1652C2×C4—24no—
1653C2×C4—24no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—24no—
1665C2×C4—24no—
1666C2×C4—21no—
1667C2×C4—24no—
1668C2×C4—24no—
1669C2×C4—24no—
1670C2×C4—24no—
1671C2×C4—24no—
1672C2×C4—24no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—44no—
1677C2×C4—44no—
1678C2×C4—44no—
1679C2×C4—44no—
1680C2×C4—44no—
1681C2×C4—44no—
1682C2×C4—44no—
1683C2×C4—44no—
1684C2×C4—44no—
1685C2×C4—44no—
1686C2×C4—44no—
1687C2×C4—88no—
1688C2×C4C22×#4112yes—
1689C2×C4C22×#4112yes—
1690C2×C4C22×#4112yes—
1691C2×C4C22×#4112yes—
1692C2×C4C22×#4112yes—
1693C2×C4C22×#4112yes—
1694C2×C4C2×H(5,𝔽2)12yes—
1695C2×C4C2×H(5,𝔽2)12yes—
1696C2×C4C2×H(5,𝔽2)12yes—
1697C2×C4C2×2−1+412yes—
1698C2×C4C2×2−1+412yes—
1699C2×C4C2×2−1+412yes—
1700C2×C4C2×2−1+412yes—
1701C2×C4C2×2−1+412yes—
1702C2×C4C2×2−1+412yes—
1703C2×C4C2×2−1+412yes—
1704C2×C4C2×2−1+412yes—
1705C2×C4#58512yes—
1706C2×C4#58512yes—
1707C22—22no—
1708C22—22no—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22C23×#4111yescharacteristic
1729C22C22×H(5,𝔽2)11yescharacteristic
1730C22C22×2−1+411yescharacteristic
1731C22C22×2−1+411yescharacteristic
1732C22C22×2−1+411yescharacteristic
1733C22C2×#58511yescharacteristic
1734C22C2×#58511yescharacteristic
1735C4—22no—
1736C4—22no—
1737C4—22no—
1738C4—22no—
1739C4—22no—
1740C4—22no—
1741C4—22no—
1742C4—22no—
1743C4—22no—
1744C4—22no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—44no—
1749C4—41no—
1750C4—41no—
1751C4—44no—
1752C4—44no—
1753C4—44no—
1754C4—41no—
1755C4—44no—
1756C4—41no—
1757C4—41no—
1758C4—44no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—44no—
1764C4—44no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4#350914yes—
1769C4#355214yes—
1770C4#356514yes—
1771C2—42no—
1772C2—42no—
1773C2—81no—
1774C2C2×#356511yescharacteristic
1775C2C2×#355211yescharacteristic
1776C2#6280011yescharacteristic
1777C2C2×#350911yescharacteristic
1778C2#6280511yescharacteristic
1779C2#6283511yescharacteristic
1780C2#6283711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59714C2semidirect
2. #59502C2semidirect
3. #59152C2semidirect
5. #46060C2semidirect
6. #46051C2semidirect
8. #45611C2semidirect
9. #40212C2semidirect
10. #40189C2semidirect
11. #40124C2semidirect
12. #40055C2semidirect
13. #40024C2semidirect
14. #39955C2semidirect
15. #39936C2semidirect
16. #39913C2semidirect
17. #39680C2semidirect
18. #39544C2semidirect
19. #37962C2semidirect
20. #37938C2semidirect
21. #37597C2semidirect
22. #37291C2semidirect
24. #36645C2semidirect
25. #36635C2semidirect
26. #36574C2semidirect
27. #36560C2semidirect
28. #36210C2semidirect
29. #36210C2semidirect
30. #36210C2semidirect
31. #36194C2semidirect
32. #36189C2semidirect
33. #36181C2semidirect
34. #35294C2semidirect
35. #35283C2semidirect
36. #35283C2semidirect
37. #35275C2semidirect
38. #34434C2semidirect

Maximal subgroups

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

subgroupindex
#597142
#595022
#591522
#591382
#460602
#460512
#456562
#456112
#402122
#401892
#401242
#400552
#400242
#399552
#399362
#399132
#396802
#395442
#379622
#379382
#375972
#372912
#372792
#366452
#366352
#365742
#365602
#362102
#361942
#361892
#361812
#352942
#352832
#352752
#344342
C4×#5292