Finite Group Databasebeta

← #7653629

Subgroups — #7653629

Order 512.

5104 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42491C212yesmaximal, complemented
2#42489C212yesmaximal, complemented
3#40613C214yesmaximal, complemented
4#40611C214yesmaximal, complemented
5#39976C212yesmaximal, complemented
6#39973C212yesmaximal, complemented
7#39498C211yesmaximal, characteristic, complemented
8#39369C211yesmaximal, characteristic, complemented
9#38966C211yesmaximal, characteristic, complemented
10#38965C211yesmaximal, characteristic, complemented
11#38442C214yesmaximal, complemented
12#38441C214yesmaximal, complemented
13#38101C212yesmaximal, complemented
14#38098C212yesmaximal, complemented
15#37874C212yesmaximal, complemented
16#37687C212yesmaximal, complemented
17#37624C211yesmaximal, characteristic, complemented
18#37476C212yesmaximal, complemented
19#36290C211yesmaximal, characteristic, complemented
20#36261C212yesmaximal, complemented
21#36261C211yesmaximal, characteristic, complemented
22#36239C212yesmaximal, complemented
23#36180C211yesmaximal, characteristic, complemented
24D4×#125C211yesmaximal, characteristic, complemented
25#35836C212yesmaximal
26#35776C212yesmaximal
27#35294C211yesmaximal, characteristic, complemented
28#35253C212yesmaximal, complemented
29#35202C211yesmaximal, characteristic, complemented
30#35079C212yesmaximal, complemented
31#34978C211yesmaximal, characteristic, complemented
32C2×#2441C212yesmaximal, complemented
33#34181C211yesmaximal, characteristic
34#34126C211yesmaximal, characteristic
35D4×#117C211yesmaximal, characteristic
36C2×#554C2212yes—
37C2×#554C2212yes—
38C2×#544C2212yescomplemented
39C22×#125C2212yescomplemented
40C2×#518C2212yes—
41C22×C4×D4C2211yescharacteristic
42C22×#117C2212yes—
43#2868C2211yescharacteristic, complemented
44#2864C2212yescomplemented
45#2859C2211yescharacteristic, complemented
46#2859C2212yescomplemented
47#2859C2211yescharacteristic, complemented
48#2859C2211yescharacteristic, complemented
49#2857C2212yescomplemented
50#2857C2212yescomplemented
51#2857C2214yescomplemented
52#2851C2212yescomplemented
53#2851C2212yescomplemented
54#2851C2214yescomplemented
55#2841C2214yes—
56#2841C2214yes—
57#2841C2214yes—
58#2807C2214yescomplemented
59#2807C2214yescomplemented
60#2805C2214yescomplemented
61#2802C2214yescomplemented
62#2792C2214yescomplemented
63#2792C2214yescomplemented
64#2791C2214yescomplemented
65#2790C2214yescomplemented
66#2790C2214yescomplemented
67#2788C2214yescomplemented
68#2774C2214yescomplemented
69#2768C2214yescomplemented
70#2768C2214yescomplemented
71#2768C2214yescomplemented
72#2742C2214yescomplemented
73#2729C2214yescomplemented
74#2726C2214yescomplemented
75#2720C2214yescomplemented
76#2720C2214yescomplemented
77#2720C2214yescomplemented
78#2713C2214yescomplemented
79#2704C2214yescomplemented
80#2704C2214yescomplemented
81#2677C2214yescomplemented
82#2667C2214yes—
83#2667C2214yes—
84#2667C2214yescomplemented
85#2666C2214yescomplemented
86#2665C2214yes—
87#2665C2214yescomplemented
88#2660C2212yescomplemented
89#2647C2212yescomplemented
90#2629C2212yes—
91#2629C2214yes—
92#2629C2212yes—
93#2629C2212yescomplemented
94#2629C2212yescomplemented
95#2628C2212yes—
96#2628C2214yes—
97#2628C2212yes—
98#2628C2212yescomplemented
99#2628C2212yescomplemented
100#2626C2214yes—
101#2626C2214yes—
102#2612C2212yescomplemented
103#2612C2212yescomplemented
104#2606C2214yescomplemented
105#2584C2212yescomplemented
106#2584C2212yescomplemented
107#2584C2212yescomplemented
108#2583C2214yescomplemented
109#2583C2214yescomplemented
110#2583C2214yescomplemented
111#2580C2212yes—
112#2579C2214yes—
113#2571C2211yescharacteristic, complemented
114#2571C2211yescharacteristic, complemented
115#2570C2212yescomplemented
116#2570C2212yescomplemented
117#2570C2212yescomplemented
118#2569C2214yescomplemented
119#2569C2214yescomplemented
120#2567C2212yescomplemented
121#2566C2212yes—
122#2564C2214yes—
123#2552C2211yescharacteristic, complemented
124#2552C2211yescharacteristic, complemented
125#2552C2212yescomplemented
126#2552C2211yescharacteristic, complemented
127#2552C2211yescharacteristic, complemented
128#2552C2211yescharacteristic, complemented
129#2552C2212yescomplemented
130#2552C2211yescharacteristic, complemented
131#2552C2211yescharacteristic, complemented
132#2552C2211yescharacteristic, complemented
133#2551C2211yescharacteristic, complemented
134#2551C2211yescharacteristic, complemented
135#2551C2212yescomplemented
136#2550C2212yescomplemented
137#2550C2212yescomplemented
138#2550C2212yescomplemented
139#2550C2212yescomplemented
140#2549C2214yescomplemented
141#2549C2214yescomplemented
142#2549C2214yescomplemented
143#2542C2212yes—
144#2538C2212yes—
145#2509C2212yescomplemented
146#2509C2212yescomplemented
147#2508C2212yescomplemented
148#2507C2212yescomplemented
149#2507C2212yescomplemented
150#2506C2212yescomplemented
151#2506C2212yescomplemented
152#2506C2212yescomplemented
153#2505C2214yescomplemented
154#2505C2214yescomplemented
155#2505C2214yescomplemented
156#2502C2214yescomplemented
157#2487C2214yes—
158#2473C2214yescomplemented
159#2473C2214yescomplemented
160#2473C2214yescomplemented
161#2473C2214yescomplemented
162#2473C2214yescomplemented
163#2454C2212yes—
164#2454C2212yes—
165#2454C2212yes—
166#2452C2212yes—
167#2450C2214yes—
168#2449C2214yes—
169#2449C2214yes—
170#2449C2214yes—
171#2442C2212yescomplemented
172#2442C2212yescomplemented
173#2442C2212yescomplemented
174#2442C2212yescomplemented
175#2442C2212yescomplemented
176#2442C2212yescomplemented
177#2441C2212yes—
178#2441C2212yes—
179#2441C2212yes—
180#2441C2212yes—
181#2441C2212yes—
182#2441C2212yes—
183#2441C2211yescharacteristic
184#2441C2214yes—
185#2441C2214yes—
186#2441C2212yes—
187#2441C2211yescharacteristic
188#2441C2212yes—
189#2441C2214yescomplemented
190#2441C2214yescomplemented
191#2441C2212yescomplemented
192#2441C2212yescomplemented
193#2441C2212yescomplemented
194#2441C2212yescomplemented
195#2440C2212yescomplemented
196#2440C2212yescomplemented
197#2440C2214yescomplemented
198#2440C2212yescomplemented
199#2440C2214yescomplemented
200#2440C2212yescomplemented
201#2440C2212yescomplemented
202#2440C2214yescomplemented
203#2440C2212yescomplemented
204#2439C2211yescharacteristic
205#2439C2212yes—
206#2439C2211yescharacteristic
207#2439C2212yes—
208#2439C2212yes—
209#2439C2212yes—
210#2438C2214yescomplemented
211#2438C2214yescomplemented
212#2437C2214yes—
213#2437C2214yes—
214#2437C2214yes—
215#2437C2214yes—
216#2417C2214yes—
217#2396C2212yes—
218#2396C2212yes—
219C2×#399C2214yes—
220C2×#396C2214yes—
221#2357C2211yescharacteristic
222#2357C2211yescharacteristic
223#2354C2211yescharacteristic
224#2354C2211yescharacteristic
225#2353C2212yes—
226#2353C2212yes—
227#2352C2212yes—
228#2352C2212yes—
229#2349C2212yes—
230#2349C2214yes—
231#2349C2211yescharacteristic
232#2349C2211yescharacteristic
233#2349C2212yes—
234#2349C2212yes—
235#2349C2212yes—
236D4×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2211yescharacteristic
238D4×C4⋊C4C2212yes—
239D4×C4⋊C4C2212yes—
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2212yes—
242D4×C4⋊C4C2211yescharacteristic
243D4×C4⋊C4C2211yescharacteristic
244D4×C4⋊C4C2212yes—
245D4×C4⋊C4C2211yescharacteristic
246D4×C4⋊C4C2212yes—
247D4×C4⋊C4C2212yes—
248#2345C2211yescharacteristic
249#2345C2211yescharacteristic
250#2344C2212yes—
251#2342C2214yes—
252#2342C2212yes—
253#2342C2212yes—
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2211yescharacteristic
256D4×C22⋊C4C2211yescharacteristic
257#2331C2212yescomplemented
258#2330C2212yescomplemented
259#2330C2212yescomplemented
260#2330C2212yescomplemented
261#2329C2214yescomplemented
262#2329C2214yescomplemented
263#2317C2212yescomplemented
264#2317C2212yescomplemented
265#2316C2212yes—
266#2316C2212yescomplemented
267#2315C2214yes—
268C4×C4⋊Q8C2212yescomplemented
269C4×C4⋊Q8C2211yescharacteristic, complemented
270C4×C4⋊Q8C2211yescharacteristic, complemented
271C4×#125C2211yescharacteristic, complemented
272C4×#125C2212yescomplemented
273C4×#125C2211yescharacteristic, complemented
274#2293C2212yes—
275#2293C2211yescharacteristic
276#2293C2211yescharacteristic
277C2×#389C2214yescomplemented
278C2×#389C2212yescomplemented
279C2×#389C2212yescomplemented
280#2290C2214yes—
281#2290C2212yes—
282#2290C2212yes—
283C2×#387C2214yescomplemented
284#2285C2211yescharacteristic
285#2285C2211yescharacteristic
286#2285C2211yescharacteristic
287C2×#384C2212yescomplemented
288#2283C2211yescharacteristic
289#2280C2212yes—
290#2280C2212yes—
291C2×#380C2212yes—
292C2×#380C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2212yes—
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⋊Q8C2314yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#125—48no—
314C2×#125C2311yescharacteristic
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#125C2314yes—
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—
338C2×C22⋊Q8C2314yes—
339#518—48no—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×D4Q8116yescomplemented
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×#117—48no—
362C2×#117C2312yes—
363C2×#117C2311yescharacteristic
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2314yes—
372C2×#117C2314yes—
373C2×#117C2312yes—
374C2×#117C2311yescharacteristic
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2314yes—
379C22×C4⋊C4C2314yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2314yes—
384C22×C4⋊C4C2314yes—
385C22×C4⋊C4C2314yes—
386C22×C4⋊C4C2314yes—
387C22×C4⋊C4C2311yescharacteristic
388C22×C22⋊C4C2314yes—
389C22×C22⋊C4C2314yes—
390C22×C22⋊C4C2312yes—
391C22×C22⋊C4C2314yes—
392C22×C22⋊C4C2312yes—
393C22×C22⋊C4C2312yes—
394C22×C42C2314yes—
395C22×C42C2312yes—
396C22×C42C2312yes—
397C22×C42C2311yescharacteristic
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2312yes—
419#399C2314yes—
420#399C2314yes—
421#399C2312yes—
422#399C2314yes—
423#399C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
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#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2312yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2312yes—
468#396C2314yes—
469#396C2314yes—
470#396C2312yes—
471#396C2314yes—
472#396C2314yes—
473#396C2312yes—
474#395C2312yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2312yes—
487#395C2314yes—
488#393C2314yes—
489#393C2312yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2314yes—
500#391C2314yes—
501#391C2314yes—
502#391C2314yes—
503#390C2311yescharacteristic
504#390C2312yes—
505#390C2311yescharacteristic
506#390C2312yes—
507#390C2311yescharacteristic
508#390C2311yescharacteristic
509#389C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#386C2312yes—
635#386C2314yes—
636#386C2312yes—
637#386C2314yes—
638#386C2312yes—
639#386C2312yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2312yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2312yes—
674#384C2311yescharacteristic
675#384C2312yes—
676#384C2311yescharacteristic
677#384C2312yes—
678#384C2314yes—
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2312yes—
685#384C2314yes—
686#384C2312yes—
687#384C2312yes—
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2314yes—
695#383C2312yes—
696#382C2311yescharacteristic
697#382C2311yescharacteristic
698#382C2312yes—
699#382C2312yes—
700#382C2311yescharacteristic
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2314yes—
707#382C2312yes—
708#382C2311yescharacteristic
709#382C2312yes—
710#381C2312yes—
711#381C2314yes—
712#381C2312yes—
713#381C2312yes—
714#380C2314yes—
715#380C2314yes—
716#380C2312yes—
717#380C2314yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2312yes—
722#380C2312yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2314yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2312yes—
749#379C2314yes—
750#379C2312yes—
751#379C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804#376C2311yescharacteristic
805#376C2312yes—
806#376C2311yescharacteristic
807#376C2312yes—
808C2×#95C2314yes—
809C2×#95C2312yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2312yes—
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2312yes—
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×C4C2414yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2414yes—
839C23×C4C2414yes—
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C4⋊Q8—42no—
850C4⋊Q8—42no—
851C4⋊Q8—44no—
852C4⋊Q8—48no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855C4⋊Q8—44no—
856C4⋊Q8—44no—
857C4⋊Q8—44no—
858#125—24no—
859#125—28no—
860#125—24no—
861#125—44no—
862#125—44no—
863#125—44no—
864#125—44no—
865#125—48no—
866#125—44no—
867#125—44no—
868#125—44no—
869#125—44no—
870#125—48no—
871#125—48no—
872#125—44no—
873C22⋊Q8—48no—
874C22⋊Q8—48no—
875C22⋊Q8—48no—
876C22⋊Q8—48no—
877C22⋊Q8—48no—
878C22⋊Q8—48no—
879C22⋊Q8—48no—
880C22⋊Q8—48no—
881C22⋊Q8—48no—
882C22⋊Q8—48no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×D4—28no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—24no—
889C4×D4—24no—
890C4×D4—28no—
891C4×D4—24no—
892C4×D4—24no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—48no—
896C4×D4—48no—
897C4×D4C2×Q8116yes—
898C4×D4C2×Q818yes—
899C4×D4C2×Q818yes—
900C4×D4C2×Q8116yes—
901C4×D4C2×Q818yes—
902C4×D4C2×Q818yes—
903#117—24no—
904#117—28no—
905#117—44no—
906#117—44no—
907#117—44no—
908#117—48no—
909#117—48no—
910#117—42no—
911#117—42no—
912#117—44no—
913#117—44no—
914#117—42no—
915#117—44no—
916C2×C4⋊C4—28no—
917C2×C4⋊C4—44no—
918C2×C4⋊C4—44no—
919C2×C4⋊C4—48no—
920C2×C4⋊C4—48no—
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⋊C4C2×Q818yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
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⋊C4C2414yes—
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⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C22⋊C4—44no—
1023C2×C22⋊C4—44no—
1024C2×C22⋊C4—48no—
1025C2×C22⋊C4—48no—
1026C2×C22⋊C4—48no—
1027C2×C22⋊C4C2×Q8116yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C42—48no—
1067C2×C42—44no—
1068C2×C42—44no—
1069C2×C42C2×Q818yes—
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2414yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2412yes—
1130#95C2412yes—
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2412yes—
1134#95C2412yes—
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176C24—24no—
1177C24—24no—
1178C24—42no—
1179C24—42no—
1180C24—42no—
1181C24—42no—
1182C24C22×Q818yes—
1183C24C2511yescharacteristic
1184C24C2512yes—
1185C24C2512yes—
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—24no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—28no—
1218C22×C4—24no—
1219C22×C4—28no—
1220C22×C4—28no—
1221C22×C4—28no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—28no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—432no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—44no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—44no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4C22×Q814yes—
1256C22×C4C22×Q814yes—
1257C22×C4C22×Q818yes—
1258C22×C4C22×Q818yes—
1259C22×C4C22×Q814yes—
1260C22×C4C22×Q818yes—
1261C22×C4C22×Q818yes—
1262C22×C4C22×Q818yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2514yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2512yes—
1280C22×C4C2514yes—
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C4⋊C4—28no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
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—44no—
1348C4⋊C4—44no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4C22×Q818yes—
1385C4⋊C4C22×Q814yes—
1386C4⋊C4C22×Q814yes—
1387C4⋊C4H(5,𝔽2)14yes—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—28no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—28no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—28no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4C22×Q818yes—
1423C22⋊C4C22×Q818yes—
1424C22⋊C4C22×Q818yes—
1425C22⋊C4C22×Q818yes—
1426C42—24no—
1427C42—22no—
1428C42—28no—
1429C42—24no—
1430C42—22no—
1431C42—24no—
1432C42—24no—
1433C42—24no—
1434C42—22no—
1435C42—22no—
1436C42—24no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—24no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—42no—
1445C42—42no—
1446C42—44no—
1447C42—44no—
1448C42—42no—
1449C42—42no—
1450C42—41no—
1451C42—41no—
1452C42—42no—
1453C42—44no—
1454C42—42no—
1455C42—42no—
1456C42C22×Q814yes—
1457C42C22×Q814yes—
1458C42C22×Q814yes—
1459C42C22×Q814yes—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—21no—
1466C23—21no—
1467C23—22no—
1468C23—21no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—21no—
1473C23—21no—
1474C23—22no—
1475C23—21no—
1476C23—216no—
1477C23—48no—
1478C23—48no—
1479C23—84no—
1480C23—84no—
1481C23—84no—
1482C23—84no—
1483C23C23×Q814yes—
1484C23C23×Q812yes—
1485C23C23×Q814yes—
1486C23C2×H(5,𝔽2)14yes—
1487C23C2×2−1+414yes—
1488C23C2611yescharacteristic
1489Q8—84no—
1490Q8—84no—
1491Q8—164no—
1492Q8—164no—
1493D4—216no—
1494D4—28no—
1495D4#544116yescomplemented
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—28no—
1515C2×C4—28no—
1516C2×C4—216no—
1517C2×C4—216no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—48no—
1582C2×C4—48no—
1583C2×C4—48no—
1584C2×C4—44no—
1585C2×C4—416no—
1586C2×C4—48no—
1587C2×C4—48no—
1588C2×C4—84no—
1589C2×C4—88no—
1590C2×C4—88no—
1591C2×C4—84no—
1592C2×C4—88no—
1593C2×C4—164no—
1594C2×C4—164no—
1595C2×C4C23×Q812yes—
1596C2×C4C23×Q812yes—
1597C2×C4C23×Q812yes—
1598C2×C4C23×Q812yes—
1599C2×C4C23×Q814yes—
1600C2×C4C23×Q814yes—
1601C2×C4C23×Q812yes—
1602C2×C4C23×Q812yes—
1603C2×C4C2×H(5,𝔽2)14yes—
1604C2×C4C2×H(5,𝔽2)12yes—
1605C2×C4C2×H(5,𝔽2)12yes—
1606C2×C4C2×2−1+412yes—
1607C2×C4#58512yes—
1608C2×C4#58512yes—
1609C2×C4#58512yes—
1610C22—24no—
1611C22—24no—
1612C22—24no—
1613C22—24no—
1614C22—24no—
1615C22—24no—
1616C22—22no—
1617C22—24no—
1618C22—22no—
1619C22—24no—
1620C22—22no—
1621C22—24no—
1622C22—42no—
1623C22—41no—
1624C22—42no—
1625C22—41no—
1626C22—42no—
1627C22—41no—
1628C22—42no—
1629C22—41no—
1630C22—816no—
1631C22C2×#54418yes—
1632C22C24×Q811yescharacteristic
1633C22C22×H(5,𝔽2)11yescharacteristic
1634C22C22×H(5,𝔽2)11yescharacteristic
1635C22C22×2−1+411yescharacteristic
1636C22C2×#58511yescharacteristic
1637C22C2×#58511yescharacteristic
1638C22C2×#58511yescharacteristic
1639C4—24no—
1640C4—22no—
1641C4—22no—
1642C4—24no—
1643C4—24no—
1644C4—22no—
1645C4—22no—
1646C4—22no—
1647C4—22no—
1648C4—41no—
1649C4—44no—
1650C4—42no—
1651C4—41no—
1652C4—42no—
1653C4—41no—
1654C4—42no—
1655C4—44no—
1656C4—44no—
1657C4—42no—
1658C4—42no—
1659C4—41no—
1660C4—42no—
1661C4—42no—
1662C4—44no—
1663C4—42no—
1664C4—41no—
1665C4—42no—
1666C4—41no—
1667C4—42no—
1668C4—42no—
1669C4C2×#54414yes—
1670C4#350114yes—
1671C2—28no—
1672C2—44no—
1673C2—42no—
1674C2C22×#54411yescharacteristic
1675C2C2×#350111yescharacteristic
1676C2#6281311yescharacteristic
1677C2#6301311yescharacteristic
1678C2#6301411yescharacteristic
1679C2#6301811yescharacteristic
1680C2#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. #42491C2semidirect
2. #42489C2semidirect
3. #40613C2semidirect
4. #40611C2semidirect
5. #39976C2semidirect
6. #39973C2semidirect
7. #39498C2semidirect
8. #39369C2semidirect
9. #38966C2semidirect
10. #38965C2semidirect
11. #38442C2semidirect
12. #38441C2semidirect
13. #38101C2semidirect
14. #38098C2semidirect
15. #37874C2semidirect
16. #37687C2semidirect
17. #37624C2semidirect
18. #37476C2semidirect
19. #36290C2semidirect
20. #36261C2semidirect
21. #36261C2semidirect
22. #36239C2semidirect
23. #36180C2semidirect
24. D4×#125C2semidirect
27. #35294C2semidirect
28. #35253C2semidirect
29. #35202C2semidirect
30. #35079C2semidirect
31. #34978C2semidirect
32. C2×#2441C2semidirect
38. C2×#544C22semidirect
39. C22×#125C22semidirect
43. #2868C22semidirect
44. #2864C22semidirect
45. #2859C22semidirect
46. #2859C22semidirect
47. #2859C22semidirect
48. #2859C22semidirect
49. #2857C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
52. #2851C22semidirect
53. #2851C22semidirect
54. #2851C22semidirect
58. #2807C22semidirect
59. #2807C22semidirect
60. #2805C22semidirect
61. #2802C22semidirect
62. #2792C22semidirect
63. #2792C22semidirect
64. #2791C22semidirect
65. #2790C22semidirect
66. #2790C22semidirect
67. #2788C22semidirect
68. #2774C22semidirect
69. #2768C22semidirect
70. #2768C22semidirect
71. #2768C22semidirect
72. #2742C22semidirect
73. #2729C22semidirect
74. #2726C22semidirect
75. #2720C22semidirect
76. #2720C22semidirect
77. #2720C22semidirect
78. #2713C22semidirect
79. #2704C22semidirect
80. #2704C22semidirect
81. #2677C22semidirect
84. #2667C22semidirect
85. #2666C22semidirect
87. #2665C22semidirect
88. #2660C22semidirect
89. #2647C22semidirect
93. #2629C22semidirect
94. #2629C22semidirect
98. #2628C22semidirect
99. #2628C22semidirect
102. #2612C22semidirect
103. #2612C22semidirect
104. #2606C22semidirect
105. #2584C22semidirect
106. #2584C22semidirect
107. #2584C22semidirect
108. #2583C22semidirect
109. #2583C22semidirect
110. #2583C22semidirect
113. #2571C22semidirect
114. #2571C22semidirect
115. #2570C22semidirect
116. #2570C22semidirect
117. #2570C22semidirect
118. #2569C22semidirect
119. #2569C22semidirect
120. #2567C22semidirect
123. #2552C22semidirect
124. #2552C22semidirect
125. #2552C22semidirect
126. #2552C22semidirect
127. #2552C22semidirect
128. #2552C22semidirect
129. #2552C22semidirect
130. #2552C22semidirect
131. #2552C22semidirect
132. #2552C22semidirect
133. #2551C22semidirect
134. #2551C22semidirect
135. #2551C22semidirect
136. #2550C22semidirect
137. #2550C22semidirect
138. #2550C22semidirect
139. #2550C22semidirect
140. #2549C22semidirect
141. #2549C22semidirect
142. #2549C22semidirect
145. #2509C22semidirect
146. #2509C22semidirect
147. #2508C22semidirect
148. #2507C22semidirect
149. #2507C22semidirect
150. #2506C22semidirect
151. #2506C22semidirect
152. #2506C22semidirect
153. #2505C22semidirect
154. #2505C22semidirect
155. #2505C22semidirect
156. #2502C22semidirect
158. #2473C22semidirect
159. #2473C22semidirect
160. #2473C22semidirect
161. #2473C22semidirect
162. #2473C22semidirect
171. #2442C22semidirect
172. #2442C22semidirect
173. #2442C22semidirect
174. #2442C22semidirect
175. #2442C22semidirect
176. #2442C22semidirect
189. #2441C22semidirect
190. #2441C22semidirect
191. #2441C22semidirect
192. #2441C22semidirect
193. #2441C22semidirect
194. #2441C22semidirect
195. #2440C22semidirect
196. #2440C22semidirect
197. #2440C22semidirect
198. #2440C22semidirect
199. #2440C22semidirect
200. #2440C22semidirect
201. #2440C22semidirect
202. #2440C22semidirect
203. #2440C22semidirect
210. #2438C22semidirect
211. #2438C22semidirect
257. #2331C22semidirect
258. #2330C22semidirect
259. #2330C22semidirect
260. #2330C22semidirect
261. #2329C22semidirect
262. #2329C22semidirect
263. #2317C22semidirect
264. #2317C22semidirect
266. #2316C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×C4⋊Q8C22semidirect
270. C4×C4⋊Q8C22semidirect
271. C4×#125C22semidirect
272. C4×#125C22semidirect
273. C4×#125C22semidirect
277. C2×#389C22semidirect
278. C2×#389C22semidirect
279. C2×#389C22semidirect
283. C2×#387C22semidirect
287. C2×#384C22semidirect
342. C2×C4×D4Q8semidirect
1495. D4#544semidirect

Maximal subgroups

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

subgroupindex
#424912
#424892
#406132
#406112
#399762
#399732
#394982
#393692
#389662
#389652
#384422
#384412
#381012
#380982
#378742
#376872
#376242
#374762
#362902
#362612
#362392
#361802
D4×#1252
#358362
#357762
#352942
#352532
#352022
#350792
#349782
C2×#24412
#341812
#341262
D4×#1172