Finite Group Databasebeta

← #7653858

Subgroups — #7653858

Order 512.

5206 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42500C212yesmaximal, complemented
2#42495C212yesmaximal, complemented
3#40620C214yesmaximal, complemented
4#40617C214yesmaximal, complemented
5#39751C212yesmaximal, complemented
6#39498C211yesmaximal, characteristic, complemented
7#39370C211yesmaximal, characteristic, complemented
8#39178C212yesmaximal, complemented
9#38967C211yesmaximal, characteristic, complemented
10#38966C211yesmaximal, characteristic, complemented
11#38101C212yesmaximal, complemented
12#38100C212yesmaximal, complemented
13#38097C214yesmaximal, complemented
14#37875C212yesmaximal, complemented
15#37873C214yesmaximal, complemented
16#37687C212yesmaximal, complemented
17#37623C211yesmaximal, characteristic, complemented
18#37477C212yesmaximal, complemented
19#36261C211yesmaximal, characteristic, complemented
20#36261C211yesmaximal, characteristic, complemented
21#36215C212yesmaximal
22#36165C211yesmaximal, characteristic, complemented
23#36154C212yesmaximal
24D4×#125C211yesmaximal, characteristic, complemented
25#35961C212yesmaximal, complemented
26#35950C212yesmaximal, complemented
27#35286C211yesmaximal, characteristic, complemented
28#35239C211yesmaximal, characteristic, complemented
29#35224C212yesmaximal, complemented
30#35079C212yesmaximal, complemented
31#34966C211yesmaximal, characteristic, complemented
32C2×#2442C212yesmaximal, complemented
33#34194C211yesmaximal, characteristic
34#34126C211yesmaximal, characteristic
35C2×D4×C4⋊C4C211yesmaximal, characteristic
36C2×#554C2212yes—
37C2×#554C2212yes—
38C2×#544C2212yescomplemented
39C22×#125C2212yescomplemented
40C22×C4×D4C2212yes—
41C22×C4×D4C2211yescharacteristic
42C23×C4⋊C4C2212yes—
43#2859C2211yescharacteristic, complemented
44#2859C2211yescharacteristic, complemented
45#2859C2211yescharacteristic, complemented
46#2859C2211yescharacteristic, complemented
47#2857C2212yes—
48#2857C2212yescomplemented
49#2857C2212yescomplemented
50#2851C2212yes—
51#2851C2212yescomplemented
52#2851C2212yescomplemented
53#2848C2214yes—
54#2848C2214yes—
55#2843C2214yescomplemented
56#2841C2214yescomplemented
57#2841C2214yescomplemented
58#2807C2214yescomplemented
59#2805C2214yescomplemented
60#2802C2214yescomplemented
61#2791C2214yescomplemented
62#2790C2214yescomplemented
63#2790C2214yescomplemented
64#2788C2214yescomplemented
65#2788C2214yescomplemented
66#2788C2214yescomplemented
67#2774C2214yescomplemented
68#2768C2214yescomplemented
69#2768C2214yescomplemented
70#2768C2214yescomplemented
71#2763C2214yescomplemented
72#2755C2214yescomplemented
73#2755C2214yescomplemented
74#2742C2214yescomplemented
75#2742C2214yescomplemented
76#2729C2214yescomplemented
77#2726C2214yescomplemented
78#2720C2214yescomplemented
79#2713C2214yescomplemented
80#2704C2214yescomplemented
81#2704C2214yescomplemented
82#2667C2214yescomplemented
83#2666C2214yescomplemented
84#2665C2214yescomplemented
85#2660C2212yescomplemented
86#2660C2212yescomplemented
87#2659C2214yes—
88#2659C2214yescomplemented
89#2647C2212yescomplemented
90#2647C2212yescomplemented
91#2647C2212yescomplemented
92#2647C2212yescomplemented
93#2646C2214yes—
94#2646C2214yescomplemented
95#2629C2212yescomplemented
96#2629C2212yescomplemented
97#2628C2212yescomplemented
98#2628C2212yescomplemented
99#2627C2214yes—
100#2627C2214yescomplemented
101#2627C2214yescomplemented
102#2606C2212yescomplemented
103#2605C2212yescomplemented
104#2584C2212yescomplemented
105#2584C2212yescomplemented
106#2584C2212yescomplemented
107#2583C2214yescomplemented
108#2583C2214yescomplemented
109#2583C2214yescomplemented
110#2580C2212yes—
111#2579C2214yes—
112#2571C2212yescomplemented
113#2571C2211yescharacteristic, complemented
114#2571C2211yescharacteristic, complemented
115#2571C2212yescomplemented
116#2570C2212yescomplemented
117#2570C2211yescharacteristic, complemented
118#2570C2211yescharacteristic, complemented
119#2569C2214yescomplemented
120#2566C2212yes—
121#2564C2214yes—
122#2563C2212yes—
123#2552C2211yescharacteristic, complemented
124#2552C2211yescharacteristic, complemented
125#2552C2212yescomplemented
126#2552C2211yescharacteristic, complemented
127#2552C2212yescomplemented
128#2552C2211yescharacteristic, complemented
129#2552C2212yescomplemented
130#2551C2211yescharacteristic, complemented
131#2551C2211yescharacteristic, complemented
132#2550C2212yescomplemented
133#2550C2212yescomplemented
134#2550C2212yescomplemented
135#2550C2211yescharacteristic, complemented
136#2550C2212yescomplemented
137#2550C2211yescharacteristic, complemented
138#2549C2214yescomplemented
139#2549C2214yescomplemented
140#2549C2214yescomplemented
141#2549C2214yescomplemented
142#2546C2212yescomplemented
143#2538C2212yes—
144#2509C2212yescomplemented
145#2509C2212yescomplemented
146#2508C2212yescomplemented
147#2508C2212yescomplemented
148#2508C2212yescomplemented
149#2506C2212yescomplemented
150#2506C2212yescomplemented
151#2506C2212yescomplemented
152#2505C2214yescomplemented
153#2505C2214yescomplemented
154#2505C2214yescomplemented
155#2505C2214yescomplemented
156#2505C2214yescomplemented
157#2502C2214yescomplemented
158#2487C2214yes—
159#2473C2214yescomplemented
160#2473C2214yescomplemented
161#2473C2214yescomplemented
162#2454C2212yes—
163#2454C2212yes—
164#2454C2212yes—
165#2452C2212yes—
166#2450C2214yes—
167#2450C2214yes—
168#2450C2214yes—
169#2449C2214yes—
170#2442C2211yescharacteristic
171#2442C2212yes—
172#2442C2212yes—
173#2442C2214yes—
174#2442C2212yes—
175#2442C2212yes—
176#2442C2214yes—
177#2442C2214yes—
178#2442C2212yes—
179#2442C2212yes—
180#2442C2211yescharacteristic
181#2442C2212yes—
182#2442C2214yescomplemented
183#2442C2212yescomplemented
184#2442C2212yescomplemented
185#2442C2212yescomplemented
186#2442C2212yescomplemented
187#2442C2212yescomplemented
188#2442C2212yescomplemented
189#2442C2212yescomplemented
190#2442C2214yescomplemented
191#2442C2214yescomplemented
192#2442C2212yescomplemented
193#2441C2212yescomplemented
194#2441C2212yescomplemented
195#2440C2212yes—
196#2440C2212yes—
197#2440C2212yes—
198#2440C2214yes—
199#2440C2211yescharacteristic
200#2440C2211yescharacteristic
201#2440C2214yescomplemented
202#2440C2212yescomplemented
203#2440C2212yescomplemented
204#2440C2212yescomplemented
205#2440C2214yescomplemented
206#2440C2212yescomplemented
207#2439C2212yescomplemented
208#2439C2212yescomplemented
209#2438C2212yes—
210#2438C2212yes—
211#2438C2214yes—
212#2437C2214yes—
213#2437C2214yes—
214#2437C2214yes—
215#2437C2214yes—
216#2417C2214yes—
217#2402C2212yescomplemented
218#2399C2212yescomplemented
219C2×#400C2214yescomplemented
220C2×#398C2214yescomplemented
221#2357C2211yescharacteristic
222#2357C2211yescharacteristic
223#2354C2211yescharacteristic
224#2354C2211yescharacteristic
225#2353C2212yes—
226#2353C2212yes—
227#2352C2212yes—
228#2352C2212yes—
229#2349C2212yes—
230#2349C2212yes—
231#2349C2212yes—
232#2349C2211yescharacteristic
233#2349C2211yescharacteristic
234#2349C2212yes—
235D4×C4⋊C4C2212yes—
236D4×C4⋊C4C2212yes—
237D4×C4⋊C4C2211yescharacteristic
238D4×C4⋊C4C2211yescharacteristic
239D4×C4⋊C4C2212yes—
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2212yes—
242D4×C4⋊C4C2211yescharacteristic
243D4×C4⋊C4C2211yescharacteristic
244D4×C4⋊C4C2212yes—
245D4×C4⋊C4C2214yes—
246D4×C4⋊C4C2212yes—
247D4×C4⋊C4C2211yescharacteristic
248#2345C2211yescharacteristic
249#2345C2212yes—
250#2345C2211yescharacteristic
251#2342C2212yes—
252#2342C2212yes—
253#2342C2214yes—
254D4×C22⋊C4C2211yescharacteristic
255D4×C22⋊C4C2212yes—
256D4×C22⋊C4C2211yescharacteristic
257#2331C2212yescomplemented
258#2330C2212yescomplemented
259#2329C2214yes—
260#2329C2214yes—
261#2319C2212yes—
262#2318C2214yes—
263#2317C2212yes—
264#2317C2212yescomplemented
265#2317C2212yescomplemented
266#2316C2212yes—
267#2316C2212yescomplemented
268C4×C4⋊Q8C2211yescharacteristic, complemented
269C4×C4⋊Q8C2211yescharacteristic, complemented
270C4×#125C2211yescharacteristic, complemented
271C4×#125C2211yescharacteristic, complemented
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274#2293C2211yescharacteristic
275#2293C2211yescharacteristic
276C2×#389C2212yes—
277C2×#389C2212yescomplemented
278C2×#389C2212yescomplemented
279#2290C2212yes—
280#2290C2212yes—
281C2×#385C2214yes—
282C2×#385C2214yes—
283#2285C2211yescharacteristic
284C2×#384C2211yescharacteristic
285#2283C2211yescharacteristic
286#2283C2211yescharacteristic
287C2×#382C2212yescomplemented
288#2280C2212yes—
289#2280C2212yes—
290C2×#380C2212yes—
291C2×#380C2214yes—
292C2×#380C2212yes—
293#2275C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2212yes—
299C23×D4C2311yescharacteristic
300C24×C4C2314yes—
301C24×C4C2312yes—
302#554—48no—
303#554—48no—
304#544—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
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×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×D4—48no—
341C2×C4×D4Q8116yescomplemented
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2312yes—
366C2×#117C2312yes—
367C22×C4⋊C4—48no—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2314yes—
374C22×C4⋊C4C2314yes—
375C22×C4⋊C4C2314yes—
376C22×C4⋊C4C2314yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2314yes—
381C22×C4⋊C4C2314yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2314yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2311yescharacteristic
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2314yes—
390C22×C22⋊C4C2314yes—
391C22×C22⋊C4C2312yes—
392C22×C42C2312yes—
393C22×C42C2312yes—
394C22×C42C2312yes—
395C22×C42C2311yescharacteristic
396#400C2314yes—
397#400C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2312yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
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#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2312yes—
447#398C2312yes—
448#398C2312yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2312yes—
462#398C2312yes—
463#398C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#395C2314yes—
473#395C2312yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2312yes—
482#395C2314yes—
483#395C2314yes—
484#395C2312yes—
485#395C2314yes—
486#395C2314yes—
487#395C2312yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#391C2312yes—
493#391C2312yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2314yes—
499#391C2314yes—
500#391C2312yes—
501#391C2312yes—
502#390C2311yescharacteristic
503#390C2312yes—
504#390C2311yescharacteristic
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2311yescharacteristic
508#389C2311yescharacteristic
509#389C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2314yes—
579#389C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2312yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#386C2312yes—
619#386C2314yes—
620#386C2314yes—
621#386C2312yes—
622#386C2312yes—
623#386C2312yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2312yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2312yes—
648#385C2314yes—
649#385C2314yes—
650#385C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2312yes—
654#385C2312yes—
655#385C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2312yes—
666#385C2314yes—
667#385C2314yes—
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#384C2312yes—
671#384C2312yes—
672#384C2311yescharacteristic
673#384C2311yescharacteristic
674#384C2312yes—
675#384C2312yes—
676#384C2314yes—
677#384C2312yes—
678#384C2314yes—
679#384C2312yes—
680#384C2312yes—
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#383C2312yes—
684#383C2312yes—
685#382C2311yescharacteristic
686#382C2311yescharacteristic
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2311yescharacteristic
691#382C2312yes—
692#382C2311yescharacteristic
693#382C2311yescharacteristic
694#382C2314yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2314yes—
700#382C2312yes—
701#382C2311yescharacteristic
702#382C2314yes—
703#382C2314yes—
704#381C2314yes—
705#381C2312yes—
706#381C2312yes—
707#381C2312yes—
708#381C2312yes—
709#380C2314yes—
710#380C2314yes—
711#380C2314yes—
712#380C2314yes—
713#380C2314yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2314yes—
719#380C2314yes—
720#380C2312yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2314yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2314yes—
747#380C2314yes—
748#380C2314yes—
749#379C2314yes—
750#379C2312yes—
751#379C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802#376C2312yes—
803#376C2312yes—
804#376C2311yescharacteristic
805#376C2311yescharacteristic
806C2×#95C2314yes—
807C2×#95C2312yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C2×#95C2312yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C2×#95C2312yes—
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×C4—48no—
831C23×C4—48no—
832C23×C4—48no—
833C23×C4C2×Q8116yes—
834C23×C4C2414yes—
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C4⋊Q8—24no—
856C4⋊Q8—44no—
857C4⋊Q8—42no—
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860C4⋊Q8—44no—
861C4⋊Q8—48no—
862#125—24no—
863#125—28no—
864#125—44no—
865#125—44no—
866#125—42no—
867#125—44no—
868#125—44no—
869#125—44no—
870#125—44no—
871#125—44no—
872#125—48no—
873#125—48no—
874#125—48no—
875C22⋊Q8—44no—
876C22⋊Q8—48no—
877C22⋊Q8—48no—
878C22⋊Q8—44no—
879C22⋊Q8—48no—
880C22⋊Q8—48no—
881C22⋊Q8—48no—
882C22⋊Q8—48no—
883C22⋊Q8—48no—
884C22⋊Q8—48no—
885C22⋊Q8—48no—
886C22⋊Q8—48no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×D4—28no—
890C4×D4—28no—
891C4×D4—24no—
892C4×D4—24no—
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—24no—
896C4×D4—24no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—48no—
900C4×D4—48no—
901C4×D4C2×Q8116yes—
902C4×D4C2×Q818yes—
903C4×D4C2×Q818yes—
904C4×D4C2×Q8116yes—
905C4×D4C2×Q818yes—
906C4×D4C2×Q818yes—
907#117—44no—
908#117—44no—
909#117—42no—
910#117—42no—
911#117—44no—
912#117—44no—
913#117—44no—
914C2×C4⋊C4—24no—
915C2×C4⋊C4—28no—
916C2×C4⋊C4—28no—
917C2×C4⋊C4—44no—
918C2×C4⋊C4—48no—
919C2×C4⋊C4—44no—
920C2×C4⋊C4—48no—
921C2×C4⋊C4—44no—
922C2×C4⋊C4—48no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—42no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4—48no—
928C2×C4⋊C4—48no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4—48no—
931C2×C4⋊C4—48no—
932C2×C4⋊C4C2×Q818yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C22⋊C4—44no—
1024C2×C22⋊C4—44no—
1025C2×C22⋊C4—48no—
1026C2×C22⋊C4—48no—
1027C2×C22⋊C4C2×Q8116yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C42—44no—
1064C2×C42—44no—
1065C2×C42—44no—
1066C2×C42C2×Q818yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2414yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176C24—24no—
1177C24—24no—
1178C24—24no—
1179C24—24no—
1180C24—42no—
1181C24—42no—
1182C24C22×Q818yes—
1183C24C2512yes—
1184C24C2512yes—
1185C24C2511yescharacteristic
1186C2×Q8—24no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8—44no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—232no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4C22×Q818yes—
1204C2×D4C22×Q814yes—
1205C2×D4C22×Q814yes—
1206C2×D4H(5,𝔽2)14yes—
1207C2×D42−1+414yes—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—28no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—28no—
1223C22×C4—28no—
1224C22×C4—28no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—28no—
1228C22×C4—24no—
1229C22×C4—28no—
1230C22×C4—24no—
1231C22×C4—28no—
1232C22×C4—432no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—44no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—44no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—832no—
1265C22×C4C22×Q814yes—
1266C22×C4C22×Q814yes—
1267C22×C4C22×Q814yes—
1268C22×C4C22×Q818yes—
1269C22×C4C22×Q818yes—
1270C22×C4C22×Q818yes—
1271C22×C4C22×Q818yes—
1272C22×C4C22×Q818yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2514yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2514yes—
1290C22×C4C2514yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2514yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—28no—
1308C4⋊C4—24no—
1309C4⋊C4—28no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—28no—
1318C4⋊C4—28no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—41no—
1361C4⋊C4—41no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4C22×Q818yes—
1392C4⋊C4C22×Q814yes—
1393C4⋊C4C22×Q814yes—
1394C4⋊C4H(5,𝔽2)14yes—
1395C22⋊C4—28no—
1396C22⋊C4—28no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—24no—
1401C22⋊C4—28no—
1402C22⋊C4—24no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—24no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4C22×Q818yes—
1427C22⋊C4C22×Q818yes—
1428C22⋊C4C22×Q818yes—
1429C22⋊C4C22×Q818yes—
1430C42—22no—
1431C42—24no—
1432C42—24no—
1433C42—24no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—24no—
1438C42—22no—
1439C42—22no—
1440C42—24no—
1441C42—22no—
1442C42—24no—
1443C42—22no—
1444C42—42no—
1445C42—42no—
1446C42—42no—
1447C42—42no—
1448C42—42no—
1449C42—42no—
1450C42—44no—
1451C42—41no—
1452C42—41no—
1453C42—41no—
1454C42—41no—
1455C42—44no—
1456C42—44no—
1457C42C22×Q814yes—
1458C42C22×Q814yes—
1459C42C22×Q814yes—
1460C42C22×Q814yes—
1461C23—22no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—22no—
1466C23—21no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—216no—
1476C23—216no—
1477C23—48no—
1478C23—48no—
1479C23—48no—
1480C23—48no—
1481C23—48no—
1482C23C23×Q814yes—
1483C23C23×Q814yes—
1484C23C23×Q812yes—
1485C23C2×H(5,𝔽2)14yes—
1486C23C2×2−1+414yes—
1487C23#58512yes—
1488C23#58512yes—
1489C23C2611yescharacteristic
1490Q8—84no—
1491Q8—84no—
1492Q8—164no—
1493Q8—164no—
1494D4—216no—
1495D4—28no—
1496D4#544116yescomplemented
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—28no—
1512C2×C4—28no—
1513C2×C4—28no—
1514C2×C4—216no—
1515C2×C4—216no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—48no—
1586C2×C4—48no—
1587C2×C4—48no—
1588C2×C4—416no—
1589C2×C4—48no—
1590C2×C4—88no—
1591C2×C4—84no—
1592C2×C4—84no—
1593C2×C4—88no—
1594C2×C4—84no—
1595C2×C4—88no—
1596C2×C4—84no—
1597C2×C4—84no—
1598C2×C4—88no—
1599C2×C4—88no—
1600C2×C4—88no—
1601C2×C4C23×Q812yes—
1602C2×C4C23×Q812yes—
1603C2×C4C23×Q812yes—
1604C2×C4C23×Q812yes—
1605C2×C4C23×Q814yes—
1606C2×C4C23×Q814yes—
1607C2×C4C23×Q812yes—
1608C2×C4C23×Q812yes—
1609C2×C4C2×H(5,𝔽2)14yes—
1610C2×C4C2×H(5,𝔽2)12yes—
1611C2×C4C2×H(5,𝔽2)12yes—
1612C2×C4C2×2−1+412yes—
1613C2×C4#58512yes—
1614C22—22no—
1615C22—24no—
1616C22—24no—
1617C22—22no—
1618C22—24no—
1619C22—22no—
1620C22—22no—
1621C22—24no—
1622C22—24no—
1623C22—22no—
1624C22—24no—
1625C22—22no—
1626C22—24no—
1627C22—24no—
1628C22—24no—
1629C22—432no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22C2×#54418yes—
1635C22#350414yes—
1636C22C24×Q811yescharacteristic
1637C22C22×H(5,𝔽2)11yescharacteristic
1638C22C22×H(5,𝔽2)11yescharacteristic
1639C22C22×2−1+411yescharacteristic
1640C22C2×#58511yescharacteristic
1641C22C2×#58511yescharacteristic
1642C22C2×#58511yescharacteristic
1643C4—24no—
1644C4—22no—
1645C4—24no—
1646C4—24no—
1647C4—22no—
1648C4—22no—
1649C4—22no—
1650C4—44no—
1651C4—42no—
1652C4—41no—
1653C4—44no—
1654C4—42no—
1655C4—41no—
1656C4—42no—
1657C4—41no—
1658C4—42no—
1659C4—44no—
1660C4—41no—
1661C4—42no—
1662C4—41no—
1663C4—42no—
1664C4—42no—
1665C4—44no—
1666C4—42no—
1667C4—42no—
1668C4—41no—
1669C4—41no—
1670C4—42no—
1671C4—42no—
1672C4—41no—
1673C4C2×#54414yes—
1674C4#350114yes—
1675C2—24no—
1676C2—28no—
1677C2—44no—
1678C2C22×#54411yescharacteristic
1679C2C2×#350111yescharacteristic
1680C2C2×#350411yescharacteristic
1681C2#6301211yescharacteristic
1682C2#6301511yescharacteristic
1683C2#6301811yescharacteristic
1684C2#6302311yescharacteristic
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. #42500C2semidirect
2. #42495C2semidirect
3. #40620C2semidirect
4. #40617C2semidirect
5. #39751C2semidirect
6. #39498C2semidirect
7. #39370C2semidirect
8. #39178C2semidirect
9. #38967C2semidirect
10. #38966C2semidirect
11. #38101C2semidirect
12. #38100C2semidirect
13. #38097C2semidirect
14. #37875C2semidirect
15. #37873C2semidirect
16. #37687C2semidirect
17. #37623C2semidirect
18. #37477C2semidirect
19. #36261C2semidirect
20. #36261C2semidirect
22. #36165C2semidirect
24. D4×#125C2semidirect
25. #35961C2semidirect
26. #35950C2semidirect
27. #35286C2semidirect
28. #35239C2semidirect
29. #35224C2semidirect
30. #35079C2semidirect
31. #34966C2semidirect
32. C2×#2442C2semidirect
38. C2×#544C22semidirect
39. C22×#125C22semidirect
43. #2859C22semidirect
44. #2859C22semidirect
45. #2859C22semidirect
46. #2859C22semidirect
48. #2857C22semidirect
49. #2857C22semidirect
51. #2851C22semidirect
52. #2851C22semidirect
55. #2843C22semidirect
56. #2841C22semidirect
57. #2841C22semidirect
58. #2807C22semidirect
59. #2805C22semidirect
60. #2802C22semidirect
61. #2791C22semidirect
62. #2790C22semidirect
63. #2790C22semidirect
64. #2788C22semidirect
65. #2788C22semidirect
66. #2788C22semidirect
67. #2774C22semidirect
68. #2768C22semidirect
69. #2768C22semidirect
70. #2768C22semidirect
71. #2763C22semidirect
72. #2755C22semidirect
73. #2755C22semidirect
74. #2742C22semidirect
75. #2742C22semidirect
76. #2729C22semidirect
77. #2726C22semidirect
78. #2720C22semidirect
79. #2713C22semidirect
80. #2704C22semidirect
81. #2704C22semidirect
82. #2667C22semidirect
83. #2666C22semidirect
84. #2665C22semidirect
85. #2660C22semidirect
86. #2660C22semidirect
88. #2659C22semidirect
89. #2647C22semidirect
90. #2647C22semidirect
91. #2647C22semidirect
92. #2647C22semidirect
94. #2646C22semidirect
95. #2629C22semidirect
96. #2629C22semidirect
97. #2628C22semidirect
98. #2628C22semidirect
100. #2627C22semidirect
101. #2627C22semidirect
102. #2606C22semidirect
103. #2605C22semidirect
104. #2584C22semidirect
105. #2584C22semidirect
106. #2584C22semidirect
107. #2583C22semidirect
108. #2583C22semidirect
109. #2583C22semidirect
112. #2571C22semidirect
113. #2571C22semidirect
114. #2571C22semidirect
115. #2571C22semidirect
116. #2570C22semidirect
117. #2570C22semidirect
118. #2570C22semidirect
119. #2569C22semidirect
123. #2552C22semidirect
124. #2552C22semidirect
125. #2552C22semidirect
126. #2552C22semidirect
127. #2552C22semidirect
128. #2552C22semidirect
129. #2552C22semidirect
130. #2551C22semidirect
131. #2551C22semidirect
132. #2550C22semidirect
133. #2550C22semidirect
134. #2550C22semidirect
135. #2550C22semidirect
136. #2550C22semidirect
137. #2550C22semidirect
138. #2549C22semidirect
139. #2549C22semidirect
140. #2549C22semidirect
141. #2549C22semidirect
142. #2546C22semidirect
144. #2509C22semidirect
145. #2509C22semidirect
146. #2508C22semidirect
147. #2508C22semidirect
148. #2508C22semidirect
149. #2506C22semidirect
150. #2506C22semidirect
151. #2506C22semidirect
152. #2505C22semidirect
153. #2505C22semidirect
154. #2505C22semidirect
155. #2505C22semidirect
156. #2505C22semidirect
157. #2502C22semidirect
159. #2473C22semidirect
160. #2473C22semidirect
161. #2473C22semidirect
182. #2442C22semidirect
183. #2442C22semidirect
184. #2442C22semidirect
185. #2442C22semidirect
186. #2442C22semidirect
187. #2442C22semidirect
188. #2442C22semidirect
189. #2442C22semidirect
190. #2442C22semidirect
191. #2442C22semidirect
192. #2442C22semidirect
193. #2441C22semidirect
194. #2441C22semidirect
201. #2440C22semidirect
202. #2440C22semidirect
203. #2440C22semidirect
204. #2440C22semidirect
205. #2440C22semidirect
206. #2440C22semidirect
207. #2439C22semidirect
208. #2439C22semidirect
217. #2402C22semidirect
218. #2399C22semidirect
219. C2×#400C22semidirect
220. C2×#398C22semidirect
257. #2331C22semidirect
258. #2330C22semidirect
264. #2317C22semidirect
265. #2317C22semidirect
267. #2316C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×C4⋊Q8C22semidirect
270. C4×#125C22semidirect
271. C4×#125C22semidirect
277. C2×#389C22semidirect
278. C2×#389C22semidirect
287. C2×#382C22semidirect
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
#425002
#424952
#406202
#406172
#397512
#394982
#393702
#391782
#389672
#389662
#381012
#381002
#380972
#378752
#378732
#376872
#376232
#374772
#362612
#362152
#361652
#361542
D4×#1252
#359612
#359502
#352862
#352392
#352242
#350792
#349662
C2×#24422
#341942
#341262
C2×D4×C4⋊C42