Finite Group Databasebeta

← #7657443

Subgroups — #7657443

Order 512.

5032 conjugacy classes of subgroups.

The subgroup lattice has 1683 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42498C212yesmaximal, complemented
2#42494C212yesmaximal, complemented
3#42492C212yesmaximal, complemented
4#42489C212yesmaximal, complemented
5#40619C214yesmaximal, complemented
6#40615C214yesmaximal, complemented
7#40611C214yesmaximal, complemented
8#40611C214yesmaximal, complemented
9#39497C211yesmaximal, characteristic, complemented
10#39370C211yesmaximal, characteristic, complemented
11#38966C211yesmaximal, characteristic, complemented
12#38965C211yesmaximal, characteristic, complemented
13#38100C212yesmaximal, complemented
14#38099C212yesmaximal, complemented
15#37874C212yesmaximal, complemented
16#37687C212yesmaximal, complemented
17#37643C211yesmaximal, characteristic, complemented
18#37624C211yesmaximal, characteristic, complemented
19#37477C212yesmaximal, complemented
20#37476C212yesmaximal, complemented
21#36290C211yesmaximal, characteristic, complemented
22#36261C211yesmaximal, characteristic, complemented
23#36180C211yesmaximal, characteristic, complemented
24D4×#125C211yesmaximal, characteristic, complemented
25#35950C212yesmaximal, complemented
26#35858C212yesmaximal, complemented
27#35776C212yesmaximal
28#35776C212yesmaximal
29#35294C211yesmaximal, characteristic, complemented
30#35253C212yesmaximal, complemented
31#34625C211yesmaximal, characteristic, complemented
32C2×#2629C212yesmaximal, complemented
33#34194C211yesmaximal, characteristic
34#34181C211yesmaximal, characteristic
35D4×#117C211yesmaximal, characteristic
36C2×#554C2212yes—
37C2×#554C2212yes—
38C2×#544C2212yescomplemented
39C22×#125C2212yescomplemented
40C2×#518C2212yes—
41C22×C4×D4C2211yescharacteristic
42C22×#117C2212yes—
43#2868C2211yescharacteristic, complemented
44#2859C2211yescharacteristic, complemented
45#2859C2211yescharacteristic, complemented
46#2859C2211yescharacteristic, complemented
47#2857C2212yescomplemented
48#2857C2212yescomplemented
49#2851C2212yescomplemented
50#2851C2212yescomplemented
51#2845C2214yescomplemented
52#2841C2214yes—
53#2841C2214yes—
54#2841C2214yes—
55#2841C2214yescomplemented
56#2841C2214yescomplemented
57#2806C2214yescomplemented
58#2802C2214yescomplemented
59#2792C2214yescomplemented
60#2791C2214yescomplemented
61#2791C2214yescomplemented
62#2790C2214yescomplemented
63#2790C2214yescomplemented
64#2790C2214yescomplemented
65#2790C2214yescomplemented
66#2788C2214yescomplemented
67#2788C2214yescomplemented
68#2768C2214yescomplemented
69#2768C2214yescomplemented
70#2755C2214yescomplemented
71#2729C2214yescomplemented
72#2729C2214yescomplemented
73#2726C2214yescomplemented
74#2720C2214yescomplemented
75#2720C2214yescomplemented
76#2713C2214yescomplemented
77#2704C2214yescomplemented
78#2704C2214yescomplemented
79#2704C2214yescomplemented
80#2704C2214yescomplemented
81#2667C2212yes—
82#2667C2214yes—
83#2666C2212yescomplemented
84#2666C2212yescomplemented
85#2666C2214yescomplemented
86#2665C2212yes—
87#2665C2214yes—
88#2660C2212yescomplemented
89#2660C2211yescharacteristic, complemented
90#2660C2211yescharacteristic, complemented
91#2659C2214yescomplemented
92#2659C2214yescomplemented
93#2647C2212yescomplemented
94#2647C2211yescharacteristic, complemented
95#2647C2211yescharacteristic, complemented
96#2646C2214yescomplemented
97#2646C2214yescomplemented
98#2629C2212yes—
99#2629C2212yes—
100#2629C2214yes—
101#2629C2212yes—
102#2629C2212yes—
103#2629C2211yescharacteristic
104#2629C2212yes—
105#2629C2214yes—
106#2629C2214yes—
107#2629C2212yes—
108#2629C2211yescharacteristic
109#2629C2214yescomplemented
110#2629C2212yescomplemented
111#2629C2212yescomplemented
112#2629C2212yescomplemented
113#2629C2214yescomplemented
114#2629C2212yescomplemented
115#2628C2211yescharacteristic
116#2628C2211yescharacteristic
117#2628C2212yes—
118#2628C2212yes—
119#2626C2214yes—
120#2626C2214yes—
121#2584C2212yescomplemented
122#2584C2212yescomplemented
123#2583C2214yescomplemented
124#2583C2214yescomplemented
125#2579C2214yes—
126#2579C2214yes—
127#2571C2211yescharacteristic, complemented
128#2570C2212yescomplemented
129#2570C2212yescomplemented
130#2570C2212yescomplemented
131#2569C2214yescomplemented
132#2567C2212yescomplemented
133#2566C2212yes—
134#2566C2212yes—
135#2552C2212yescomplemented
136#2552C2212yescomplemented
137#2552C2211yescharacteristic, complemented
138#2552C2211yescharacteristic, complemented
139#2552C2212yescomplemented
140#2552C2211yescharacteristic, complemented
141#2552C2212yescomplemented
142#2552C2211yescharacteristic, complemented
143#2552C2211yescharacteristic, complemented
144#2552C2212yescomplemented
145#2552C2211yescharacteristic, complemented
146#2552C2212yescomplemented
147#2551C2211yescharacteristic, complemented
148#2550C2212yescomplemented
149#2550C2212yescomplemented
150#2550C2212yescomplemented
151#2550C2212yescomplemented
152#2550C2212yescomplemented
153#2549C2214yescomplemented
154#2549C2214yescomplemented
155#2549C2214yescomplemented
156#2546C2212yescomplemented
157#2538C2212yes—
158#2538C2212yes—
159#2509C2212yescomplemented
160#2508C2212yescomplemented
161#2507C2212yescomplemented
162#2507C2212yescomplemented
163#2507C2212yescomplemented
164#2506C2212yescomplemented
165#2506C2212yescomplemented
166#2506C2212yescomplemented
167#2505C2214yescomplemented
168#2505C2214yescomplemented
169#2502C2214yescomplemented
170#2502C2214yescomplemented
171#2473C2214yescomplemented
172#2473C2214yescomplemented
173#2473C2214yescomplemented
174#2473C2214yescomplemented
175#2473C2214yescomplemented
176#2473C2214yescomplemented
177#2454C2212yes—
178#2454C2212yes—
179#2452C2212yes—
180#2452C2212yes—
181#2450C2214yes—
182#2450C2214yes—
183#2449C2214yes—
184#2449C2214yes—
185#2442C2212yescomplemented
186#2442C2212yescomplemented
187#2442C2214yescomplemented
188#2442C2212yescomplemented
189#2442C2212yescomplemented
190#2442C2212yescomplemented
191#2442C2212yescomplemented
192#2441C2212yes—
193#2441C2214yes—
194#2441C2212yes—
195#2441C2212yes—
196#2441C2212yescomplemented
197#2441C2212yescomplemented
198#2440C2212yescomplemented
199#2440C2212yescomplemented
200#2440C2214yescomplemented
201#2440C2212yescomplemented
202#2440C2212yescomplemented
203#2440C2212yescomplemented
204#2440C2214yescomplemented
205#2440C2212yescomplemented
206#2440C2214yescomplemented
207#2439C2212yes—
208#2439C2214yes—
209#2439C2212yes—
210#2439C2212yes—
211#2439C2212yescomplemented
212#2439C2212yescomplemented
213#2438C2214yescomplemented
214#2438C2214yescomplemented
215#2437C2214yes—
216#2437C2214yes—
217#2437C2214yes—
218#2437C2214yes—
219#2417C2214yes—
220#2417C2214yes—
221#2402C2212yescomplemented
222#2399C2212yescomplemented
223#2396C2212yes—
224#2396C2212yes—
225C2×#398C2214yescomplemented
226C2×#398C2214yescomplemented
227C2×#396C2214yes—
228C2×#396C2214yes—
229#2354C2211yescharacteristic
230#2354C2211yescharacteristic
231#2354C2211yescharacteristic
232#2354C2211yescharacteristic
233#2352C2212yes—
234#2352C2212yes—
235#2352C2212yes—
236#2352C2212yes—
237#2349C2212yes—
238#2349C2212yes—
239#2349C2212yes—
240#2349C2212yes—
241#2349C2214yes—
242D4×C4⋊C4C2212yes—
243D4×C4⋊C4C2212yes—
244D4×C4⋊C4C2211yescharacteristic
245D4×C4⋊C4C2211yescharacteristic
246D4×C4⋊C4C2211yescharacteristic
247D4×C4⋊C4C2212yes—
248D4×C4⋊C4C2212yes—
249D4×C4⋊C4C2211yescharacteristic
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2212yes—
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2211yescharacteristic
255D4×C4⋊C4C2212yes—
256#2345C2212yes—
257#2344C2211yescharacteristic
258#2344C2211yescharacteristic
259#2342C2212yes—
260#2342C2212yes—
261#2342C2214yes—
262D4×C22⋊C4C2211yescharacteristic
263D4×C22⋊C4C2211yescharacteristic
264D4×C22⋊C4C2212yes—
265#2331C2212yescomplemented
266#2330C2212yescomplemented
267#2319C2212yes—
268#2318C2214yes—
269#2317C2212yescomplemented
270#2317C2212yescomplemented
271#2316C2212yes—
272#2316C2212yescomplemented
273#2315C2214yes—
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#125C2211yescharacteristic, complemented
277C4×#125C2211yescharacteristic, complemented
278#2293C2211yescharacteristic
279#2293C2211yescharacteristic
280C2×#389C2212yescomplemented
281C2×#389C2212yescomplemented
282#2290C2212yes—
283#2290C2212yes—
284#2285C2211yescharacteristic
285#2285C2211yescharacteristic
286#2285C2211yescharacteristic
287#2285C2211yescharacteristic
288C2×#384C2212yescomplemented
289#2283C2211yescharacteristic
290#2280C2212yes—
291#2280C2212yes—
292C2×#380C2212yes—
293C2×#380C2212yes—
294C2×#380C2212yes—
295#2275C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301#554—48no—
302#554—48no—
303#544—48no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2312yes—
312C2×#125—48no—
313C2×#125C2311yescharacteristic
314C2×#125C2312yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338#518—48no—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×D4Q8116yescomplemented
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×#117—48no—
361C2×#117C2312yes—
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C2×#117C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2314yes—
378C22×C4⋊C4C2314yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2314yes—
386C22×C4⋊C4C2314yes—
387C22×C4⋊C4C2314yes—
388C22×C4⋊C4C2314yes—
389C22×C4⋊C4C2311yescharacteristic
390C22×C22⋊C4C2314yes—
391C22×C22⋊C4C2314yes—
392C22×C22⋊C4C2312yes—
393C22×C22⋊C4C2312yes—
394C22×C22⋊C4C2314yes—
395C22×C22⋊C4C2312yes—
396C22×C42C2312yes—
397C22×C42C2312yes—
398C22×C42C2311yescharacteristic
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2312yes—
411#400C2312yes—
412#400C2312yes—
413#400C2312yes—
414#400C2312yes—
415#399C2312yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2312yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2312yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2312yes—
458#398C2312yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2312yes—
468#398C2312yes—
469#398C2312yes—
470#398C2312yes—
471#398C2312yes—
472#398C2312yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2312yes—
486#396C2312yes—
487#396C2314yes—
488#396C2314yes—
489#396C2312yes—
490#396C2312yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#395C2314yes—
498#395C2314yes—
499#395C2312yes—
500#395C2314yes—
501#395C2314yes—
502#395C2314yes—
503#395C2314yes—
504#395C2314yes—
505#395C2314yes—
506#395C2314yes—
507#395C2314yes—
508#395C2312yes—
509#395C2312yes—
510#395C2312yes—
511#395C2312yes—
512#395C2312yes—
513#393C2312yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2314yes—
522#391C2314yes—
523#391C2314yes—
524#391C2314yes—
525#391C2314yes—
526#391C2314yes—
527#391C2314yes—
528#390C2312yes—
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2311yescharacteristic
533#390C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2312yes—
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#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2314yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#386C2314yes—
638#386C2314yes—
639#386C2312yes—
640#386C2312yes—
641#386C2312yes—
642#386C2312yes—
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#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2312yes—
680#384C2312yes—
681#384C2314yes—
682#384C2312yes—
683#384C2312yes—
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2312yes—
687#384C2314yes—
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#384C2314yes—
699#384C2314yes—
700#383C2312yes—
701#382C2311yescharacteristic
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2312yes—
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2314yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2311yescharacteristic
715#381C2314yes—
716#381C2312yes—
717#381C2312yes—
718#381C2312yes—
719#380C2312yes—
720#380C2314yes—
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2314yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2312yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2314yes—
758#380C2314yes—
759#379C2312yes—
760#379C2312yes—
761#379C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807#376C2312yes—
808#376C2311yescharacteristic
809#376C2311yescharacteristic
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C2×#95C2314yes—
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C25C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×Q8C2414yes—
822C22×D4—24no—
823C22×D4—24no—
824C22×D4C2×Q818yes—
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C23×C4—44no—
829C23×C4—44no—
830C23×C4C2×Q8116yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2414yes—
838C23×C4C2414yes—
839C23×C4C2414yes—
840C23×C4C2414yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C4⋊Q8—24no—
850C4⋊Q8—42no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855C4⋊Q8—48no—
856C4⋊Q8—82no—
857#125—24no—
858#125—28no—
859#125—44no—
860#125—44no—
861#125—48no—
862#125—48no—
863#125—42no—
864#125—44no—
865#125—44no—
866#125—44no—
867#125—44no—
868#125—44no—
869#125—48no—
870#125—84no—
871#125—82no—
872C22⋊Q8—48no—
873C22⋊Q8—48no—
874C22⋊Q8—48no—
875C22⋊Q8—48no—
876C22⋊Q8—48no—
877C22⋊Q8—48no—
878C22⋊Q8—48no—
879C22⋊Q8—48no—
880C22⋊Q8—84no—
881C22⋊Q8—84no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×D4—28no—
885C4×D4—28no—
886C4×D4—24no—
887C4×D4—28no—
888C4×D4—24no—
889C4×D4—24no—
890C4×D4—28no—
891C4×D4—24no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—48no—
895C4×D4—48no—
896C4×D4C2×Q8116yes—
897C4×D4C2×Q818yes—
898C4×D4C2×Q818yes—
899C4×D4C2×Q8116yes—
900C4×D4C2×Q818yes—
901C4×D4C2×Q818yes—
902#117—24no—
903#117—28no—
904#117—44no—
905#117—44no—
906#117—42no—
907#117—44no—
908#117—44no—
909#117—44no—
910#117—44no—
911#117—44no—
912#117—44no—
913#117—44no—
914#117—44no—
915#117—82no—
916C2×C4⋊C4—44no—
917C2×C4⋊C4—44no—
918C2×C4⋊C4—44no—
919C2×C4⋊C4—44no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4—44no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4—48no—
924C2×C4⋊C4—48no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4—48no—
927C2×C4⋊C4—48no—
928C2×C4⋊C4—84no—
929C2×C4⋊C4—84no—
930C2×C4⋊C4C2×Q818yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C22⋊C4—44no—
1029C2×C22⋊C4—44no—
1030C2×C22⋊C4—48no—
1031C2×C22⋊C4—48no—
1032C2×C22⋊C4—84no—
1033C2×C22⋊C4C2×Q8116yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C42—28no—
1073C2×C42—44no—
1074C2×C42C2×Q818yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177C24—24no—
1178C24—24no—
1179C24—42no—
1180C24—42no—
1181C24—42no—
1182C24—42no—
1183C24C22×Q818yes—
1184C24C2511yescharacteristic
1185C24C2512yes—
1186C24C2512yes—
1187C2×Q8—24no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8—44no—
1198C2×Q8—44no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—232no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4C22×Q818yes—
1205C2×D4C22×Q814yes—
1206C2×D4C22×Q814yes—
1207C2×D4H(5,𝔽2)14yes—
1208C2×D42−1+414yes—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—28no—
1220C22×C4—28no—
1221C22×C4—24no—
1222C22×C4—28no—
1223C22×C4—28no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—432no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—41no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—41no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—42no—
1247C22×C4—44no—
1248C22×C4—42no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4C22×Q814yes—
1257C22×C4C22×Q814yes—
1258C22×C4C22×Q818yes—
1259C22×C4C22×Q818yes—
1260C22×C4C22×Q814yes—
1261C22×C4C22×Q818yes—
1262C22×C4C22×Q818yes—
1263C22×C4C22×Q818yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2514yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2514yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2514yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—28no—
1308C4⋊C4—28no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—41no—
1363C4⋊C4—41no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4C22×Q818yes—
1391C4⋊C4C22×Q814yes—
1392C4⋊C4C22×Q814yes—
1393C22⋊C4—28no—
1394C22⋊C4—28no—
1395C22⋊C4—24no—
1396C22⋊C4—28no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—24no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4C22×Q818yes—
1428C22⋊C4C22×Q818yes—
1429C22⋊C4C22×Q818yes—
1430C22⋊C4C22×Q818yes—
1431C42—24no—
1432C42—24no—
1433C42—24no—
1434C42—22no—
1435C42—24no—
1436C42—24no—
1437C42—24no—
1438C42—22no—
1439C42—24no—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—24no—
1444C42—22no—
1445C42—22no—
1446C42—42no—
1447C42—42no—
1448C42—41no—
1449C42—41no—
1450C42—44no—
1451C42—44no—
1452C42—44no—
1453C42—44no—
1454C42—41no—
1455C42—41no—
1456C42C22×Q814yes—
1457C42C22×Q814yes—
1458C42C22×Q814yes—
1459C42C22×Q814yes—
1460C42H(5,𝔽2)14yes—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—21no—
1467C23—21no—
1468C23—22no—
1469C23—21no—
1470C23—22no—
1471C23—22no—
1472C23—21no—
1473C23—22no—
1474C23—21no—
1475C23—22no—
1476C23—21no—
1477C23—216no—
1478C23—48no—
1479C23—48no—
1480C23—84no—
1481C23—84no—
1482C23—84no—
1483C23—84no—
1484C23C23×Q814yes—
1485C23C23×Q812yes—
1486C23C23×Q814yes—
1487C23C2×H(5,𝔽2)14yes—
1488C23C2×2−1+414yes—
1489C23C2611yescharacteristic
1490Q8—84no—
1491Q8—84no—
1492Q8—164no—
1493Q8—164no—
1494D4—216no—
1495D4—28no—
1496D4#544116yescomplemented
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—28no—
1514C2×C4—28no—
1515C2×C4—216no—
1516C2×C4—216no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—24no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—48no—
1584C2×C4—48no—
1585C2×C4—48no—
1586C2×C4—44no—
1587C2×C4—48no—
1588C2×C4—48no—
1589C2×C4—88no—
1590C2×C4—84no—
1591C2×C4—88no—
1592C2×C4—88no—
1593C2×C4—84no—
1594C2×C4—88no—
1595C2×C4—164no—
1596C2×C4—164no—
1597C2×C4C23×Q812yes—
1598C2×C4C23×Q812yes—
1599C2×C4C23×Q812yes—
1600C2×C4C23×Q812yes—
1601C2×C4C23×Q814yes—
1602C2×C4C23×Q814yes—
1603C2×C4C23×Q812yes—
1604C2×C4C23×Q812yes—
1605C2×C4C2×H(5,𝔽2)12yes—
1606C2×C4C2×H(5,𝔽2)12yes—
1607C2×C4C2×H(5,𝔽2)12yes—
1608C2×C4C2×H(5,𝔽2)12yes—
1609C2×C4C2×2−1+412yes—
1610C2×C4#58512yes—
1611C22—24no—
1612C22—24no—
1613C22—24no—
1614C22—24no—
1615C22—24no—
1616C22—24no—
1617C22—22no—
1618C22—24no—
1619C22—22no—
1620C22—24no—
1621C22—22no—
1622C22—24no—
1623C22—42no—
1624C22—41no—
1625C22—42no—
1626C22—41no—
1627C22—42no—
1628C22—41no—
1629C22—42no—
1630C22—41no—
1631C22—816no—
1632C22C2×#54418yes—
1633C22C24×Q811yescharacteristic
1634C22C22×H(5,𝔽2)11yescharacteristic
1635C22C22×H(5,𝔽2)11yescharacteristic
1636C22C22×2−1+411yescharacteristic
1637C22C2×#58511yescharacteristic
1638C22H(7,𝔽2)11yescharacteristic
1639C222−1+611yescharacteristic
1640C4—22no—
1641C4—24no—
1642C4—24no—
1643C4—22no—
1644C4—22no—
1645C4—22no—
1646C4—22no—
1647C4—22no—
1648C4—42no—
1649C4—41no—
1650C4—42no—
1651C4—44no—
1652C4—42no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—44no—
1658C4—44no—
1659C4—42no—
1660C4—41no—
1661C4—41no—
1662C4—42no—
1663C4—42no—
1664C4—44no—
1665C4—41no—
1666C4—42no—
1667C4—41no—
1668C4—41no—
1669C4—42no—
1670C4C2×#54414yes—
1671C4#350114yes—
1672C2—28no—
1673C2—44no—
1674C2—42no—
1675C2C22×#54411yescharacteristic
1676C2C2×#350111yescharacteristic
1677C2#6285411yescharacteristic
1678C2#6291411yescharacteristic
1679C2#6292011yescharacteristic
1680C2#6294411yescharacteristic
1681C2#6295011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42498C2semidirect
2. #42494C2semidirect
3. #42492C2semidirect
4. #42489C2semidirect
5. #40619C2semidirect
6. #40615C2semidirect
7. #40611C2semidirect
8. #40611C2semidirect
9. #39497C2semidirect
10. #39370C2semidirect
11. #38966C2semidirect
12. #38965C2semidirect
13. #38100C2semidirect
14. #38099C2semidirect
15. #37874C2semidirect
16. #37687C2semidirect
17. #37643C2semidirect
18. #37624C2semidirect
19. #37477C2semidirect
20. #37476C2semidirect
21. #36290C2semidirect
22. #36261C2semidirect
23. #36180C2semidirect
24. D4×#125C2semidirect
25. #35950C2semidirect
26. #35858C2semidirect
29. #35294C2semidirect
30. #35253C2semidirect
31. #34625C2semidirect
32. C2×#2629C2semidirect
38. C2×#544C22semidirect
39. C22×#125C22semidirect
43. #2868C22semidirect
44. #2859C22semidirect
45. #2859C22semidirect
46. #2859C22semidirect
47. #2857C22semidirect
48. #2857C22semidirect
49. #2851C22semidirect
50. #2851C22semidirect
51. #2845C22semidirect
55. #2841C22semidirect
56. #2841C22semidirect
57. #2806C22semidirect
58. #2802C22semidirect
59. #2792C22semidirect
60. #2791C22semidirect
61. #2791C22semidirect
62. #2790C22semidirect
63. #2790C22semidirect
64. #2790C22semidirect
65. #2790C22semidirect
66. #2788C22semidirect
67. #2788C22semidirect
68. #2768C22semidirect
69. #2768C22semidirect
70. #2755C22semidirect
71. #2729C22semidirect
72. #2729C22semidirect
73. #2726C22semidirect
74. #2720C22semidirect
75. #2720C22semidirect
76. #2713C22semidirect
77. #2704C22semidirect
78. #2704C22semidirect
79. #2704C22semidirect
80. #2704C22semidirect
83. #2666C22semidirect
84. #2666C22semidirect
85. #2666C22semidirect
88. #2660C22semidirect
89. #2660C22semidirect
90. #2660C22semidirect
91. #2659C22semidirect
92. #2659C22semidirect
93. #2647C22semidirect
94. #2647C22semidirect
95. #2647C22semidirect
96. #2646C22semidirect
97. #2646C22semidirect
109. #2629C22semidirect
110. #2629C22semidirect
111. #2629C22semidirect
112. #2629C22semidirect
113. #2629C22semidirect
114. #2629C22semidirect
121. #2584C22semidirect
122. #2584C22semidirect
123. #2583C22semidirect
124. #2583C22semidirect
127. #2571C22semidirect
128. #2570C22semidirect
129. #2570C22semidirect
130. #2570C22semidirect
131. #2569C22semidirect
132. #2567C22semidirect
135. #2552C22semidirect
136. #2552C22semidirect
137. #2552C22semidirect
138. #2552C22semidirect
139. #2552C22semidirect
140. #2552C22semidirect
141. #2552C22semidirect
142. #2552C22semidirect
143. #2552C22semidirect
144. #2552C22semidirect
145. #2552C22semidirect
146. #2552C22semidirect
147. #2551C22semidirect
148. #2550C22semidirect
149. #2550C22semidirect
150. #2550C22semidirect
151. #2550C22semidirect
152. #2550C22semidirect
153. #2549C22semidirect
154. #2549C22semidirect
155. #2549C22semidirect
156. #2546C22semidirect
159. #2509C22semidirect
160. #2508C22semidirect
161. #2507C22semidirect
162. #2507C22semidirect
163. #2507C22semidirect
164. #2506C22semidirect
165. #2506C22semidirect
166. #2506C22semidirect
167. #2505C22semidirect
168. #2505C22semidirect
169. #2502C22semidirect
170. #2502C22semidirect
171. #2473C22semidirect
172. #2473C22semidirect
173. #2473C22semidirect
174. #2473C22semidirect
175. #2473C22semidirect
176. #2473C22semidirect
185. #2442C22semidirect
186. #2442C22semidirect
187. #2442C22semidirect
188. #2442C22semidirect
189. #2442C22semidirect
190. #2442C22semidirect
191. #2442C22semidirect
196. #2441C22semidirect
197. #2441C22semidirect
198. #2440C22semidirect
199. #2440C22semidirect
200. #2440C22semidirect
201. #2440C22semidirect
202. #2440C22semidirect
203. #2440C22semidirect
204. #2440C22semidirect
205. #2440C22semidirect
206. #2440C22semidirect
211. #2439C22semidirect
212. #2439C22semidirect
213. #2438C22semidirect
214. #2438C22semidirect
221. #2402C22semidirect
222. #2399C22semidirect
225. C2×#398C22semidirect
226. C2×#398C22semidirect
265. #2331C22semidirect
266. #2330C22semidirect
269. #2317C22semidirect
270. #2317C22semidirect
272. #2316C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×#125C22semidirect
277. C4×#125C22semidirect
280. C2×#389C22semidirect
281. C2×#389C22semidirect
288. C2×#384C22semidirect
341. C2×C4×D4Q8semidirect
1496. D4#544semidirect

Maximal subgroups

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

subgroupindex
#424982
#424942
#424922
#424892
#406192
#406152
#406112
#394972
#393702
#389662
#389652
#381002
#380992
#378742
#376872
#376432
#376242
#374772
#374762
#362902
#362612
#361802
D4×#1252
#359502
#358582
#357762
#352942
#352532
#346252
C2×#26292
#341942
#341812
D4×#1172