Finite Group Databasebeta

← #7746759

Subgroups — #7746759

Order 512.

4653 conjugacy classes of subgroups.

The subgroup lattice has 1771 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45384C212yesmaximal, complemented
2#45345C212yesmaximal, complemented
3#45327C212yesmaximal, complemented
4#45300C212yesmaximal, complemented
5#45280C212yesmaximal, complemented
6#45253C212yesmaximal, complemented
7#45154C212yesmaximal, complemented
8#45116C212yesmaximal, complemented
9#45089C212yesmaximal, complemented
10#45085C212yesmaximal, complemented
11#44994C212yesmaximal, complemented
12#44990C212yesmaximal, complemented
13#42863C212yesmaximal, complemented
14#42854C212yesmaximal, complemented
15#42636C212yesmaximal, complemented
16#42633C212yesmaximal
17#42562C212yesmaximal, complemented
18#42558C212yesmaximal, complemented
19#36598C211yesmaximal, characteristic, complemented
20#36560C211yesmaximal, characteristic, complemented
21#36194C211yesmaximal, characteristic, complemented
22#36189C211yesmaximal, characteristic, complemented
23#36181C211yesmaximal, characteristic, complemented
24#36134C211yesmaximal, characteristic, complemented
25#36129C211yesmaximal, characteristic, complemented
26#36129C211yesmaximal, characteristic, complemented
27#35919C212yesmaximal, complemented
28#35919C212yesmaximal, complemented
29#35832C212yesmaximal
30#35828C212yesmaximal
31#35788C212yesmaximal, complemented
32#35786C212yesmaximal, complemented
33#35291C211yesmaximal, characteristic, complemented
34#35284C211yesmaximal, characteristic, complemented
35#35283C211yesmaximal, characteristic, complemented
36#34551C211yesmaximal, characteristic
37#34225C211yesmaximal, characteristic, complemented
38#34214C211yesmaximal, characteristic, complemented
39#34209C211yesmaximal, characteristic, complemented
40C2×#557C2212yes—
41C2×#552C2212yes—
42C2×#533C2211yescharacteristic
43C2×#533C2211yescharacteristic
44C22×C4⋊Q8C2211yescharacteristic
45C2×#519C2212yes—
46#2868C2211yescharacteristic
47#2868C2211yescharacteristic
48#2862C2211yescharacteristic
49#2862C2211yescharacteristic
50#2859C2211yescharacteristic
51#2859C2211yescharacteristic
52#2857C2211yescharacteristic
53#2857C2211yescharacteristic
54#2857C2211yescharacteristic
55#2857C2211yescharacteristic
56#2857C2211yescharacteristic
57#2857C2211yescharacteristic
58#2839C2214yes—
59#2836C2214yes—
60#2809C2214yes—
61#2802C2214yes—
62#2799C2214yes—
63#2798C2214yes—
64#2798C2214yes—
65#2794C2214yes—
66#2794C2214yes—
67#2793C2214yes—
68#2791C2214yes—
69#2771C2214yes—
70#2769C2214yes—
71#2767C2214yes—
72#2767C2214yes—
73#2758C2214yes—
74#2754C2214yes—
75#2744C2214yes—
76#2744C2214yes—
77#2743C2214yes—
78#2740C2214yes—
79#2739C2214yes—
80#2725C2214yes—
81#2719C2214yes—
82#2716C2214yes—
83#2707C2214yes—
84#2667C2214yes—
85#2655C2214yes—
86#2655C2214yes—
87#2650C2214yes—
88#2647C2212yes—
89#2647C2212yes—
90#2645C2212yes—
91#2637C2214yes—
92#2629C2214yes—
93#2629C2212yes—
94#2628C2212yes—
95#2625C2212yes—
96#2609C2214yes—
97#2607C2214yes—
98#2601C2214yes—
99#2588C2214yes—
100#2588C2214yes—
101#2585C2214yes—
102#2582C2214yes—
103#2582C2212yes—
104#2575C2214yes—
105#2575C2214yes—
106#2572C2214yes—
107#2571C2212yes—
108#2571C2212yes—
109#2570C2212yes—
110#2570C2212yes—
111#2570C2212yes—
112#2568C2212yes—
113#2568C2212yes—
114#2565C2212yes—
115#2565C2212yes—
116#2565C2212yes—
117#2565C2214yes—
118#2563C2212yes—
119#2552C2212yes—
120#2550C2212yes—
121#2550C2212yes—
122#2546C2212yes—
123#2546C2212yes—
124#2542C2212yes—
125#2538C2212yes—
126#2538C2212yes—
127#2528C2214yes—
128#2528C2214yes—
129#2527C2214yes—
130#2527C2214yes—
131#2524C2214yes—
132#2520C2214yes—
133#2516C2214yes—
134#2514C2212yes—
135#2511C2212yes—
136#2511C2212yes—
137#2511C2212yes—
138#2511C2212yes—
139#2511C2212yes—
140#2509C2212yes—
141#2508C2212yes—
142#2507C2212yes—
143#2507C2212yes—
144#2507C2212yes—
145#2506C2212yes—
146#2506C2212yes—
147#2506C2212yes—
148#2506C2212yes—
149#2506C2212yes—
150#2506C2212yes—
151#2503C2212yes—
152#2499C2212yes—
153#2497C2212yes—
154#2497C2212yes—
155#2497C2212yes—
156#2497C2212yes—
157#2497C2212yes—
158#2496C2212yes—
159#2496C2212yes—
160#2495C2212yes—
161#2494C2212yes—
162#2492C2212yes—
163#2492C2212yes—
164#2492C2212yes—
165#2492C2212yes—
166#2492C2212yes—
167#2492C2212yes—
168#2489C2212yes—
169#2487C2212yes—
170#2486C2212yes—
171#2486C2212yes—
172#2475C2214yes—
173#2475C2214yes—
174#2471C2214yes—
175#2462C2214yes—
176#2458C2214yes—
177#2458C2214yes—
178#2453C2214yes—
179#2453C2214yes—
180#2453C2212yes—
181#2451C2212yes—
182#2451C2212yes—
183#2451C2212yes—
184#2451C2214yes—
185#2451C2212yes—
186#2446C2212yes—
187#2446C2212yes—
188#2446C2212yes—
189#2446C2212yes—
190#2446C2212yes—
191#2446C2212yes—
192#2442C2212yes—
193#2442C2212yes—
194#2442C2212yes—
195#2441C2212yes—
196#2441C2212yes—
197#2441C2214yes—
198#2441C2212yes—
199#2439C2214yes—
200#2439C2212yes—
201#2439C2212yes—
202#2439C2212yes—
203#2439C2214yes—
204#2439C2212yes—
205#2429C2212yes—
206#2429C2212yes—
207#2429C2212yes—
208#2429C2212yes—
209#2429C2212yes—
210#2429C2212yes—
211#2423C2212yes—
212#2423C2212yes—
213#2423C2212yes—
214#2423C2212yes—
215#2423C2212yes—
216#2421C2212yes—
217#2417C2212yes—
218#2417C2212yes—
219#2417C2212yes—
220#2409C2212yes—
221#2409C2212yes—
222#2402C2211yescharacteristic
223#2402C2211yescharacteristic
224#2402C2211yescharacteristic
225#2401C2211yescharacteristic
226#2401C2211yescharacteristic
227#2401C2211yescharacteristic
228#2401C2211yescharacteristic
229#2401C2211yescharacteristic
230#2401C2211yescharacteristic
231#2398C2211yescharacteristic
232#2398C2211yescharacteristic
233#2398C2211yescharacteristic
234#2396C2211yescharacteristic
235#2396C2214yes—
236#2396C2214yes—
237#2396C2211yescharacteristic
238#2396C2211yescharacteristic
239#2395C2211yescharacteristic
240#2395C2211yescharacteristic
241#2395C2211yescharacteristic
242#2395C2211yescharacteristic
243#2395C2211yescharacteristic
244#2395C2211yescharacteristic
245#2392C2211yescharacteristic
246#2392C2211yescharacteristic
247#2392C2211yescharacteristic
248#2370C2212yes—
249#2370C2212yes—
250#2369C2212yes—
251#2365C2212yes—
252#2365C2212yes—
253#2365C2212yes—
254#2365C2212yes—
255#2365C2212yes—
256#2365C2212yes—
257#2365C2212yes—
258#2365C2212yes—
259#2362C2212yes—
260#2362C2212yes—
261#2360C2212yes—
262#2360C2212yes—
263#2360C2212yes—
264#2360C2212yes—
265#2360C2212yes—
266#2360C2212yes—
267#2360C2212yes—
268#2356C2212yes—
269#2355C2212yes—
270#2355C2212yes—
271#2355C2212yes—
272#2355C2212yes—
273#2355C2212yes—
274#2354C2212yes—
275#2354C2212yes—
276#2352C2212yes—
277#2352C2212yes—
278#2352C2212yes—
279#2351C2212yes—
280Q8×C4⋊C4C2212yes—
281Q8×C4⋊C4C2212yes—
282Q8×C4⋊C4C2212yes—
283#2347C2212yes—
284#2346C2212yes—
285#2345C2212yes—
286#2344C2212yes—
287#2344C2212yes—
288#2344C2212yes—
289#2344C2212yes—
290#2344C2212yes—
291#2344C2212yes—
292Q8×C22⋊C4C2212yes—
293Q8×C22⋊C4C2212yes—
294#2331C2212yes—
295#2330C2212yes—
296#2330C2212yes—
297#2330C2212yes—
298#2327C2212yes—
299#2327C2212yes—
300#2323C2212yes—
301#2323C2212yes—
302#2323C2212yes—
303#2320C2212yes—
304#2320C2212yes—
305#2317C2212yes—
306#2314C2212yes—
307#2314C2212yes—
308#2310C2212yes—
309C4×C4⋊Q8C2211yescharacteristic
310C4×C4⋊Q8C2211yescharacteristic
311C4×C4⋊Q8C2211yescharacteristic
312C4×C4⋊Q8C2211yescharacteristic
313C4×C4⋊Q8C2211yescharacteristic
314C4×C4⋊Q8C2211yescharacteristic
315C4×C4⋊Q8C2211yescharacteristic
316C4×C4⋊Q8C2211yescharacteristic
317C4×C4⋊Q8C2211yescharacteristic
318C4×C4⋊Q8C2211yescharacteristic
319#2285C2211yescharacteristic
320#2285C2211yescharacteristic
321C2×#384C2211yescharacteristic
322#2276C2212yes—
323#2274C2212yes—
324C42×Q8C2211yescharacteristic
325C42×D4C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C42×D4C2211yescharacteristic
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C4×#117C2211yescharacteristic
331C23×Q8C2312yes—
332#557—48no—
333#552—48no—
334#533—28no—
335#533—28no—
336C2×C4⋊Q8—28no—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2314yes—
349C2×C4⋊Q8C2311yescharacteristic
350C2×#126C2314yes—
351C2×#125C2312yes—
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2314yes—
356C2×#125C2314yes—
357C2×#125C2314yes—
358C2×#123C2314yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369#519—48no—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2314yes—
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2314yes—
389C2×C4×Q8C2314yes—
390C2×C4×D4C2311yescharacteristic
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×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2311yescharacteristic
404C2×#117C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2311yescharacteristic
407C2×#117C2311yescharacteristic
408C2×#117C2314yes—
409C2×#117C2314yes—
410C2×#117C2314yes—
411C2×#117C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2311yescharacteristic
420#401C2314yes—
421#401C2311yescharacteristic
422#401C2311yescharacteristic
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2311yescharacteristic
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2311yescharacteristic
441#400C2311yescharacteristic
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2311yescharacteristic
448#400C2311yescharacteristic
449#400C2311yescharacteristic
450#400C2311yescharacteristic
451#400C2311yescharacteristic
452#400C2311yescharacteristic
453#400C2311yescharacteristic
454#400C2311yescharacteristic
455#400C2311yescharacteristic
456#400C2311yescharacteristic
457#400C2311yescharacteristic
458#400C2311yescharacteristic
459#400C2314yes—
460#400C2314yes—
461#399C2314yes—
462#399C2314yes—
463#399C2314yes—
464#399C2311yescharacteristic
465#399C2314yes—
466#399C2311yescharacteristic
467#399C2311yescharacteristic
468#398C2311yescharacteristic
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2311yescharacteristic
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2311yescharacteristic
488#398C2314yes—
489#398C2314yes—
490#398C2314yes—
491#398C2314yes—
492#398C2311yescharacteristic
493#398C2311yescharacteristic
494#398C2311yescharacteristic
495#398C2311yescharacteristic
496#398C2311yescharacteristic
497#398C2311yescharacteristic
498#398C2314yes—
499#398C2314yes—
500#397C2311yescharacteristic
501#397C2311yescharacteristic
502#397C2311yescharacteristic
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2311yescharacteristic
507#397C2314yes—
508#397C2311yescharacteristic
509#397C2311yescharacteristic
510#397C2311yescharacteristic
511#397C2311yescharacteristic
512#397C2311yescharacteristic
513#397C2311yescharacteristic
514#397C2311yescharacteristic
515#397C2311yescharacteristic
516#397C2311yescharacteristic
517#397C2311yescharacteristic
518#397C2311yescharacteristic
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2311yescharacteristic
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2311yescharacteristic
529#396C2311yescharacteristic
530#396C2311yescharacteristic
531#396C2311yescharacteristic
532#396C2311yescharacteristic
533#396C2314yes—
534#395C2314yes—
535#395C2314yes—
536#395C2314yes—
537#395C2311yescharacteristic
538#394C2311yescharacteristic
539#394C2311yescharacteristic
540#394C2311yescharacteristic
541#394C2311yescharacteristic
542#394C2311yescharacteristic
543#394C2311yescharacteristic
544#394C2311yescharacteristic
545#394C2311yescharacteristic
546#394C2311yescharacteristic
547#393C2314yes—
548#393C2314yes—
549#393C2314yes—
550#393C2314yes—
551#393C2314yes—
552#393C2311yescharacteristic
553#393C2311yescharacteristic
554#393C2311yescharacteristic
555#392C2311yescharacteristic
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2314yes—
569#391C2314yes—
570#391C2314yes—
571#391C2314yes—
572#391C2314yes—
573#391C2312yes—
574#391C2314yes—
575#391C2314yes—
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2314yes—
580#391C2314yes—
581#391C2312yes—
582#391C2312yes—
583#391C2314yes—
584#391C2314yes—
585#391C2314yes—
586#391C2314yes—
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#390C2314yes—
594#390C2314yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2314yes—
618#389C2314yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2314yes—
624#389C2314yes—
625#389C2314yes—
626#389C2312yes—
627#389C2314yes—
628#389C2314yes—
629#389C2314yes—
630#389C2314yes—
631#389C2314yes—
632#389C2314yes—
633#389C2314yes—
634#389C2314yes—
635#389C2312yes—
636#389C2312yes—
637#389C2314yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2314yes—
650#389C2314yes—
651#389C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
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#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#384C2311yescharacteristic
731#384C2311yescharacteristic
732#384C2311yescharacteristic
733#384C2311yescharacteristic
734#384C2312yes—
735#384C2312yes—
736#384C2314yes—
737#384C2312yes—
738#384C2312yes—
739#384C2312yes—
740#384C2312yes—
741#384C2312yes—
742#384C2314yes—
743#384C2312yes—
744#384C2312yes—
745#384C2312yes—
746#383C2314yes—
747#383C2314yes—
748#382C2314yes—
749#382C2312yes—
750#382C2312yes—
751#382C2312yes—
752#382C2314yes—
753#382C2314yes—
754#382C2312yes—
755#382C2312yes—
756#382C2312yes—
757#382C2312yes—
758#382C2312yes—
759#382C2314yes—
760#382C2314yes—
761#381C2314yes—
762#381C2314yes—
763#381C2314yes—
764#381C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2314yes—
776#380C2314yes—
777#380C2312yes—
778#380C2312yes—
779#380C2314yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2314yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2314yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2311yescharacteristic
835C4×C4⋊C4C2311yescharacteristic
836C4×C4⋊C4C2311yescharacteristic
837C4×C4⋊C4C2311yescharacteristic
838C4×C4⋊C4C2311yescharacteristic
839C4×C4⋊C4C2311yescharacteristic
840C4×C4⋊C4C2311yescharacteristic
841C4×C4⋊C4C2311yescharacteristic
842C4×C4⋊C4C2311yescharacteristic
843C4×C4⋊C4C2311yescharacteristic
844C4×C4⋊C4C2311yescharacteristic
845C4×C4⋊C4C2311yescharacteristic
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2314yes—
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⋊C4C2314yes—
860C4×C22⋊C4C2311yescharacteristic
861C4×C22⋊C4C2311yescharacteristic
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
876C4×C22⋊C4C2311yescharacteristic
877C4×C22⋊C4C2311yescharacteristic
878C4×C22⋊C4C2311yescharacteristic
879C4×C22⋊C4C2311yescharacteristic
880C4×C22⋊C4C2311yescharacteristic
881#376C2311yescharacteristic
882#376C2311yescharacteristic
883#376C2311yescharacteristic
884#376C2311yescharacteristic
885#376C2311yescharacteristic
886#376C2314yes—
887#376C2311yescharacteristic
888C43C2311yescharacteristic
889C43C2311yescharacteristic
890C43C2311yescharacteristic
891C43C2311yescharacteristic
892C22×Q8—28no—
893C22×Q8—28no—
894C22×Q8—44no—
895C22×Q8C2412yes—
896C22×Q8C2412yes—
897C22×Q8C2412yes—
898C22×Q8C2411yescharacteristic
899C22×Q8C2414yes—
900C22×Q8C2412yes—
901C22×Q8C2414yes—
902C22×D4C2411yescharacteristic
903C22×D4C2411yescharacteristic
904C22×D4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2414yes—
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2414yes—
916C4⋊Q8—28no—
917C4⋊Q8—28no—
918C4⋊Q8—28no—
919C4⋊Q8—24no—
920C4⋊Q8—24no—
921C4⋊Q8—24no—
922C4⋊Q8—28no—
923C4⋊Q8—44no—
924C4⋊Q8—44no—
925C4⋊Q8—44no—
926C4⋊Q8—44no—
927C4⋊Q8—48no—
928C4⋊Q8#4118yes—
929#126—48no—
930#125—28no—
931#125—28no—
932#125—28no—
933#125—48no—
934#125—44no—
935#125—48no—
936#125—48no—
937#123—48no—
938C22⋊Q8—28no—
939C22⋊Q8—28no—
940C22⋊Q8—28no—
941C22⋊Q8—28no—
942C22⋊Q8—44no—
943C22⋊Q8—44no—
944C22⋊Q8—44no—
945C22⋊Q8—44no—
946C22⋊Q8—44no—
947C22⋊Q8—44no—
948C4×Q8—28no—
949C4×Q8—28no—
950C4×Q8—28no—
951C4×Q8—28no—
952C4×Q8—28no—
953C4×Q8—28no—
954C4×Q8—24no—
955C4×Q8—24no—
956C4×Q8—42no—
957C4×Q8—48no—
958C4×Q8—48no—
959C4×Q8—48no—
960C4×Q8—44no—
961C4×Q8—44no—
962C4×Q8—44no—
963C4×Q8—44no—
964C4×Q8—44no—
965C4×Q8—44no—
966C4×Q8—44no—
967C4×Q8—44no—
968C4×D4—24no—
969C4×D4—24no—
970C4×D4—24no—
971C4×D4—24no—
972C4×D4—24no—
973C4×D4—24no—
974C4×D4—42no—
975C4×D4—42no—
976C4×D4—42no—
977#117—24no—
978#117—24no—
979#117—28no—
980#117—28no—
981#117—24no—
982#117—24no—
983#117—42no—
984#117—42no—
985#117—48no—
986#117—48no—
987#117—48no—
988#117—44no—
989#117—44no—
990C2×C4⋊C4—28no—
991C2×C4⋊C4—28no—
992C2×C4⋊C4—28no—
993C2×C4⋊C4—44no—
994C2×C4⋊C4—44no—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
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⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2411yescharacteristic
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C42—24no—
1122C2×C42—24no—
1123C2×C42—24no—
1124C2×C42C2414yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2414yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2414yes—
1132C2×C42C2414yes—
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×C42C2414yes—
1160C2×C42C2414yes—
1161C2×C42C2414yes—
1162C2×C42C2414yes—
1163C2×C42C2414yes—
1164C2×C42C2414yes—
1165C2×C42C2414yes—
1166C2×C42C2414yes—
1167C2×C42C2414yes—
1168C2×C42C2414yes—
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2411yescharacteristic
1177#95C2411yescharacteristic
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#95C2411yescharacteristic
1195#95C2411yescharacteristic
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
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#95C2411yescharacteristic
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2411yescharacteristic
1232#95C2411yescharacteristic
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—24no—
1272C2×Q8—24no—
1273C2×Q8—28no—
1274C2×Q8—24no—
1275C2×Q8—24no—
1276C2×Q8—24no—
1277C2×Q8—22no—
1278C2×Q8—24no—
1279C2×Q8—22no—
1280C2×Q8—28no—
1281C2×Q8—24no—
1282C2×Q8—28no—
1283C2×Q8—24no—
1284C2×Q8—24no—
1285C2×Q8—24no—
1286C2×Q8—24no—
1287C2×Q8—44no—
1288C2×Q8—41no—
1289C2×Q8—44no—
1290C2×Q8—44no—
1291C2×Q8—432no—
1292C2×Q8C2×#4118yes—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—28no—
1307C22×C4—28no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—28no—
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—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C42−1+414yes—
1334C22×C42−1+414yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2514yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2514yes—
1347C22×C4C2514yes—
1348C22×C4C2514yes—
1349C22×C4C2514yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2514yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2514yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2514yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C4⋊C4—28no—
1372C4⋊C4—28no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—28no—
1378C4⋊C4—28no—
1379C4⋊C4—28no—
1380C4⋊C4—28no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—28no—
1388C4⋊C4—28no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—28no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—28no—
1397C4⋊C4—28no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—28no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—41no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—41no—
1431C4⋊C4—41no—
1432C4⋊C4—41no—
1433C4⋊C4—41no—
1434C4⋊C4—41no—
1435C4⋊C4—41no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
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⋊C4C2×#4118yes—
1456C4⋊C4C2×#4118yes—
1457C22⋊C4—22no—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—22no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—28no—
1466C22⋊C4—28no—
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—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—41no—
1491C22⋊C4—41no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C42—22no—
1498C42—22no—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—22no—
1506C42—28no—
1507C42—28no—
1508C42—22no—
1509C42—28no—
1510C42—28no—
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—44no—
1533C42—44no—
1534C42—44no—
1535C42—44no—
1536C42—44no—
1537C42—44no—
1538C42—44no—
1539C42—44no—
1540C42—44no—
1541C42—44no—
1542C42C2×#4114yes—
1543C42H(5,𝔽2)14yes—
1544C422−1+414yes—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23C2×2−1+412yes—
1565C23C2×2−1+412yes—
1566C23C2611yescharacteristic
1567Q8—216no—
1568Q8—44no—
1569Q8—416no—
1570Q8—48no—
1571Q8—48no—
1572Q8—48no—
1573Q8—88no—
1574D4—44no—
1575D4—44no—
1576D4—44no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—24no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—24no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—28no—
1592C2×C4—28no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—24no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—24no—
1607C2×C4—24no—
1608C2×C4—24no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—24no—
1613C2×C4—24no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
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—24no—
1641C2×C4—24no—
1642C2×C4—24no—
1643C2×C4—24no—
1644C2×C4—24no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—24no—
1658C2×C4—24no—
1659C2×C4—24no—
1660C2×C4—24no—
1661C2×C4—24no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—21no—
1665C2×C4—24no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—416no—
1672C2×C4—44no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—44no—
1676C2×C4—44no—
1677C2×C4—44no—
1678C2×C4—44no—
1679C2×C4—88no—
1680C2×C4C22×#4118yes—
1681C2×C4C22×#4112yes—
1682C2×C4C22×#4112yes—
1683C2×C4C22×#4112yes—
1684C2×C4C2×H(5,𝔽2)12yes—
1685C2×C4C2×H(5,𝔽2)12yes—
1686C2×C4C2×H(5,𝔽2)12yes—
1687C2×C4C2×2−1+412yes—
1688C2×C4C2×2−1+412yes—
1689C2×C4C2×2−1+412yes—
1690C2×C4C2×2−1+412yes—
1691C2×C4C2×2−1+412yes—
1692C2×C4C2×2−1+412yes—
1693C2×C4C2×2−1+412yes—
1694C2×C4#58512yes—
1695C2×C4#58512yes—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22C23×#4111yescharacteristic
1718C22C22×H(5,𝔽2)11yescharacteristic
1719C22C22×2−1+411yescharacteristic
1720C22C22×2−1+411yescharacteristic
1721C22C22×2−1+411yescharacteristic
1722C22C2×#58511yescharacteristic
1723C22C2×#58511yescharacteristic
1724C4—22no—
1725C4—28no—
1726C4—22no—
1727C4—22no—
1728C4—22no—
1729C4—22no—
1730C4—22no—
1731C4—41no—
1732C4—41no—
1733C4—44no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—44no—
1740C4—44no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—44no—
1746C4—44no—
1747C4—41no—
1748C4—44no—
1749C4—44no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4#352014yes—
1758C4#352314yes—
1759C4#352414yes—
1760C2—42no—
1761C2—42no—
1762C2—81no—
1763C2C2×#352011yescharacteristic
1764C2C2×#352311yescharacteristic
1765C2C2×#352411yescharacteristic
1766C2#6283511yescharacteristic
1767C2#6283511yescharacteristic
1768C2#6283711yescharacteristic
1769C2#6283711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#392C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45384C2semidirect
2. #45345C2semidirect
3. #45327C2semidirect
4. #45300C2semidirect
5. #45280C2semidirect
6. #45253C2semidirect
7. #45154C2semidirect
8. #45116C2semidirect
9. #45089C2semidirect
10. #45085C2semidirect
11. #44994C2semidirect
12. #44990C2semidirect
13. #42863C2semidirect
14. #42854C2semidirect
15. #42636C2semidirect
17. #42562C2semidirect
18. #42558C2semidirect
19. #36598C2semidirect
20. #36560C2semidirect
21. #36194C2semidirect
22. #36189C2semidirect
23. #36181C2semidirect
24. #36134C2semidirect
25. #36129C2semidirect
26. #36129C2semidirect
27. #35919C2semidirect
28. #35919C2semidirect
31. #35788C2semidirect
32. #35786C2semidirect
33. #35291C2semidirect
34. #35284C2semidirect
35. #35283C2semidirect
37. #34225C2semidirect
38. #34214C2semidirect
39. #34209C2semidirect

Maximal subgroups

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

subgroupindex
#453842
#453452
#453272
#453002
#452802
#452532
#451542
#451162
#450892
#450852
#449942
#449902
#428632
#428542
#426362
#426332
#425622
#425582
#365982
#365602
#361942
#361892
#361812
#361342
#361292
#359192
#358322
#358282
#357882
#357862
#352912
#352842
#352832
#345512
#342252
#342142
#342092