Finite Group Databasebeta

← #7693202

Subgroups — #7693202

Order 512.

5205 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59856C212yesmaximal, complemented
2#59463C212yesmaximal, complemented
3#59452C214yesmaximal, complemented
4#59429C211yesmaximal, characteristic, complemented
5#59305C211yesmaximal, characteristic, complemented
6#59291C212yesmaximal, complemented
7#59245C211yesmaximal, characteristic, complemented
8#59199C212yesmaximal, complemented
9#45405C212yesmaximal, complemented
10#44944C212yesmaximal, complemented
11#44477C214yesmaximal, complemented
12#43122C214yesmaximal, complemented
13#39608C211yesmaximal, characteristic, complemented
14#39607C211yesmaximal, characteristic, complemented
15#39605C212yesmaximal, complemented
16#39604C212yesmaximal, complemented
17#38961C212yesmaximal, complemented
18#38959C214yesmaximal, complemented
19#36555C211yesmaximal, characteristic, complemented
20#36551C212yesmaximal, complemented
21#36275C211yesmaximal, characteristic, complemented
22#36261C211yesmaximal, characteristic, complemented
23#36239C212yesmaximal, complemented
24#36190C212yesmaximal, complemented
25#36189C211yesmaximal, characteristic, complemented
26#36154C211yesmaximal, characteristic, complemented
27#36031C212yesmaximal, complemented
28#35776C212yesmaximal, complemented
29#34941C211yesmaximal, characteristic, complemented
30C2×#2497C212yesmaximal, complemented
31#34309C212yesmaximal
32#34183C211yesmaximal, characteristic, complemented
33#34181C211yesmaximal, characteristic, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35C4×#546C211yesmaximal, characteristic
36C2×#554C2211yescharacteristic
37C2×#554C2212yes—
38C2×#546C2211yescharacteristic
39C2×#520C2212yes—
40C2×#518C2212yes—
41C2×C4×#41C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic
43#2864C2212yescomplemented
44#2859C2211yescharacteristic, complemented
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic, complemented
47#2857C2212yescomplemented
48#2855C2212yescomplemented
49#2851C2214yescomplemented
50#2848C2212yes—
51#2802C2214yescomplemented
52#2792C2214yescomplemented
53#2791C2214yescomplemented
54#2790C2214yescomplemented
55#2790C2214yescomplemented
56#2788C2214yes—
57#2788C2214yescomplemented
58#2788C2214yescomplemented
59#2784C2214yes—
60#2780C2214yescomplemented
61#2780C2214yescomplemented
62#2774C2214yescomplemented
63#2768C2214yes—
64#2768C2214yescomplemented
65#2763C2214yescomplemented
66#2755C2214yescomplemented
67#2748C2214yes—
68#2742C2214yes—
69#2720C2214yescomplemented
70#2704C2214yes—
71#2692C2214yescomplemented
72#2629C2212yes—
73#2628C2212yescomplemented
74#2627C2214yescomplemented
75#2626C2214yes—
76#2590C2214yescomplemented
77#2589C2214yescomplemented
78#2589C2214yescomplemented
79#2588C2214yescomplemented
80#2587C2214yescomplemented
81#2587C2214yescomplemented
82#2584C2212yescomplemented
83#2583C2214yescomplemented
84#2582C2211yescharacteristic, complemented
85#2581C2212yescomplemented
86#2579C2214yes—
87#2579C2214yescomplemented
88#2574C2212yes—
89#2574C2214yes—
90#2574C2212yescomplemented
91#2570C2212yescomplemented
92#2570C2212yescomplemented
93#2569C2214yescomplemented
94#2569C2214yescomplemented
95#2568C2212yescomplemented
96#2567C2211yescharacteristic, complemented
97#2567C2211yescharacteristic, complemented
98#2566C2212yes—
99#2564C2214yescomplemented
100#2564C2214yescomplemented
101#2563C2211yescharacteristic
102#2563C2211yescharacteristic
103#2563C2212yescomplemented
104#2556C2214yescomplemented
105#2552C2211yescharacteristic, complemented
106#2552C2211yescharacteristic, complemented
107#2552C2212yescomplemented
108#2551C2211yescharacteristic, complemented
109#2550C2212yescomplemented
110#2549C2214yescomplemented
111#2538C2212yes—
112#2538C2211yescharacteristic
113#2538C2211yescharacteristic
114#2522C2214yes—
115#2522C2214yescomplemented
116#2522C2214yescomplemented
117#2511C2212yescomplemented
118#2511C2212yescomplemented
119#2509C2214yescomplemented
120#2509C2212yescomplemented
121#2508C2212yescomplemented
122#2508C2212yescomplemented
123#2507C2212yescomplemented
124#2507C2212yescomplemented
125#2507C2212yescomplemented
126#2506C2212yescomplemented
127#2505C2214yescomplemented
128#2505C2214yescomplemented
129#2505C2214yescomplemented
130#2505C2214yescomplemented
131#2502C2212yescomplemented
132#2497C2214yes—
133#2497C2212yes—
134#2497C2212yes—
135#2497C2212yes—
136#2497C2214yes—
137#2497C2211yescharacteristic
138#2497C2212yes—
139#2497C2212yescomplemented
140#2497C2212yescomplemented
141#2497C2214yescomplemented
142#2497C2211yescharacteristic, complemented
143#2497C2214yescomplemented
144#2497C2212yescomplemented
145#2497C2212yescomplemented
146#2497C2212yescomplemented
147#2492C2212yes—
148#2487C2212yes—
149#2487C2212yes—
150#2487C2212yescomplemented
151#2487C2212yescomplemented
152#2487C2214yescomplemented
153#2473C2214yescomplemented
154#2473C2214yescomplemented
155#2465C2214yescomplemented
156#2454C2212yes—
157#2454C2212yes—
158#2454C2212yes—
159#2454C2214yescomplemented
160#2453C2212yescomplemented
161#2453C2212yescomplemented
162#2453C2212yescomplemented
163#2452C2212yes—
164#2450C2214yes—
165#2450C2214yes—
166#2450C2214yescomplemented
167#2450C2214yescomplemented
168#2449C2214yes—
169#2449C2214yescomplemented
170#2442C2212yes—
171#2442C2212yescomplemented
172#2442C2212yescomplemented
173#2441C2212yes—
174#2441C2212yescomplemented
175#2440C2212yescomplemented
176#2440C2212yescomplemented
177#2440C2212yescomplemented
178#2440C2212yescomplemented
179#2439C2212yes—
180#2438C2214yescomplemented
181#2438C2214yescomplemented
182#2438C2214yescomplemented
183#2437C2214yes—
184#2437C2214yes—
185#2437C2214yes—
186#2423C2212yes—
187#2423C2211yescharacteristic
188#2423C2211yescharacteristic, complemented
189#2423C2212yescomplemented
190#2417C2212yes—
191#2417C2214yes—
192#2417C2212yes—
193#2417C2212yescomplemented
194#2417C2212yescomplemented
195#2396C2212yes—
196#2396C2212yescomplemented
197C2×#400C2214yescomplemented
198C2×#396C2214yes—
199#2370C2212yescomplemented
200#2369C2212yescomplemented
201#2369C2211yescharacteristic, complemented
202#2368C2214yescomplemented
203#2368C2214yescomplemented
204#2367C2212yes—
205#2367C2211yescharacteristic
206#2364C2214yes—
207#2364C2212yes—
208#2363C2211yescharacteristic
209#2362C2212yes—
210#2361C2212yes—
211#2360C2211yescharacteristic
212#2360C2212yescomplemented
213#2360C2212yescomplemented
214#2360C2212yescomplemented
215#2359C2214yes—
216#2359C2212yes—
217#2358C2214yes—
218#2358C2212yes—
219#2355C2211yescharacteristic, complemented
220#2352C2212yes—
221#2352C2211yescharacteristic
222Q8×C4⋊C4C2211yescharacteristic, complemented
223Q8×C4⋊C4C2212yescomplemented
224Q8×C4⋊C4C2211yescharacteristic, complemented
225#2349C2212yes—
226#2349C2212yes—
227#2349C2214yes—
228#2349C2212yes—
229#2349C2211yescharacteristic
230#2349C2212yes—
231#2349C2212yes—
232D4×C4⋊C4C2211yescharacteristic
233D4×C4⋊C4C2211yescharacteristic
234D4×C4⋊C4C2211yescharacteristic
235D4×C4⋊C4C2212yes—
236D4×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2212yes—
238D4×C4⋊C4C2211yescharacteristic
239D4×C4⋊C4C2212yes—
240D4×C4⋊C4C2212yes—
241D4×C4⋊C4C2214yescomplemented
242D4×C4⋊C4C2212yescomplemented
243D4×C4⋊C4C2212yescomplemented
244D4×C4⋊C4C2212yescomplemented
245#2345C2212yescomplemented
246#2345C2212yescomplemented
247#2345C2212yescomplemented
248#2345C2212yescomplemented
249#2342C2214yes—
250#2342C2212yes—
251#2339C2212yes—
252#2339C2211yescharacteristic
253D4×C22⋊C4C2212yes—
254D4×C22⋊C4C2211yescharacteristic
255#2324C2212yes—
256#2323C2212yes—
257#2322C2214yes—
258#2321C2214yes—
259#2317C2214yescomplemented
260#2317C2212yescomplemented
261#2316C2212yes—
262#2315C2214yes—
263C4×C4⋊Q8C2211yescharacteristic, complemented
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×#125C2212yescomplemented
266C4×#125C2212yescomplemented
267C4×#124C2212yes—
268C4×#124C2211yescharacteristic
269C4×C22⋊Q8C2211yescharacteristic
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2214yescomplemented
272C4×C22⋊Q8C2212yescomplemented
273C4×C22⋊Q8C2211yescharacteristic, complemented
274C4×#123C2212yes—
275C4×#121C2214yes—
276C4×#121C2211yescharacteristic
277C4×#121C2212yes—
278C4×#120C2212yes—
279#2293C2212yes—
280C2×#389C2212yescomplemented
281C2×#389C2212yescomplemented
282C2×#388C2214yes—
283C2×#387C2214yescomplemented
284#2285C2211yescharacteristic
285#2285C2211yescharacteristic
286#2285C2212yescomplemented
287#2285C2211yescharacteristic, complemented
288C2×#384C2211yescharacteristic, complemented
289C2×#384C2212yescomplemented
290C2×#380C2212yes—
291C2×#380C2212yes—
292C2×#380C2212yes—
293C42×Q8C2211yescharacteristic, complemented
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C2×C4×C4⋊C4C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#554—28no—
303#554—48no—
304#546Q8116yescomplemented
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2314yes—
314C2×#124C2311yescharacteristic
315C2×#123C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×#121C2311yescharacteristic
330C2×#121C2312yes—
331C2×#120C2312yes—
332#520—48no—
333#518—48no—
334C4×#41—28no—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×D4—28no—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2314yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2314yes—
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2314yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2314yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2314yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2314yes—
391C22×C22⋊C4C2312yes—
392C22×C22⋊C4C2314yes—
393C22×C22⋊C4C2314yes—
394C22×C22⋊C4C2312yes—
395C22×C22⋊C4C2314yes—
396C22×C22⋊C4C2312yes—
397C22×C42C2312yes—
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2312yes—
401C22×C42C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2312yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2312yes—
426#399C2312yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2312yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2312yes—
452#396C2314yes—
453#396C2312yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2312yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2312yes—
465#396C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2312yes—
469#395C2312yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#393C2312yes—
475#393C2312yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#391C2311yescharacteristic
491#391C2312yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2314yes—
497#390C2312yes—
498#390C2312yes—
499#390C2314yes—
500#390C2311yescharacteristic
501#390C2312yes—
502#390C2312yes—
503#390C2311yescharacteristic
504#390C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2312yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2314yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#388C2312yes—
564#388C2314yes—
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2312yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2312yes—
617#387C2314yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#386C2312yes—
623#386C2312yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2312yes—
631#386C2312yes—
632#386C2314yes—
633#386C2312yes—
634#386C2312yes—
635#386C2312yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
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#385C2312yes—
657#385C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2314yes—
674#385C2312yes—
675#384C2311yescharacteristic
676#384C2311yescharacteristic
677#384C2312yes—
678#384C2312yes—
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2312yes—
682#384C2314yes—
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2311yescharacteristic
687#384C2312yes—
688#384C2312yes—
689#384C2314yes—
690#384C2311yescharacteristic
691#384C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2314yes—
696#382C2312yes—
697#382C2311yescharacteristic
698#382C2312yes—
699#382C2314yes—
700#382C2312yes—
701#382C2312yes—
702#381C2314yes—
703#381C2312yes—
704#380C2312yes—
705#380C2311yescharacteristic
706#380C2311yescharacteristic
707#380C2312yes—
708#380C2311yescharacteristic
709#380C2311yescharacteristic
710#380C2311yescharacteristic
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2312yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2314yes—
739#380C2312yes—
740#380C2314yes—
741#380C2314yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#379C2314yes—
745#379C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C2×#95C2312yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C2×#95C2314yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C25C2412yes—
818C2×#41—24no—
819C2×#41—24no—
820C2×#41C2×Q818yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×D4—24no—
827C22×D4—24no—
828C22×D4C2×Q818yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C23×C4—28no—
836C23×C4—44no—
837C23×C4—44no—
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2414yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2412yes—
860C4⋊Q8—24no—
861C4⋊Q8—44no—
862C4⋊Q8—42no—
863C4⋊Q8—44no—
864#125—28no—
865#125—44no—
866#125—44no—
867#125—44no—
868#125—84no—
869#124C2×Q818yes—
870#123C2×Q8116yes—
871C22⋊Q8—28no—
872C22⋊Q8—216no—
873C22⋊Q8—48no—
874C22⋊Q8—48no—
875C22⋊Q8—48no—
876C22⋊Q8—48no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—42no—
880C22⋊Q8—42no—
881C22⋊Q8—82no—
882C22⋊Q8—84no—
883C22⋊Q8C2×Q818yes—
884#121C2×Q818yes—
885#121C2×Q8116yes—
886#120C2×Q8116yes—
887C4×Q8—24no—
888C4×Q8—24no—
889C4×Q8—24no—
890C4×Q8—44no—
891C4×Q8—42no—
892C4×Q8—42no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—82no—
896C4×D4—24no—
897C4×D4—24no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—24no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—24no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—24no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—42no—
913C4×D4—42no—
914C4×D4—48no—
915C4×D4—48no—
916C4×D4—48no—
917C4×D4—48no—
918C4×D4—84no—
919C4×D4C2×Q818yes—
920C4×D4C2×Q818yes—
921C4×D4#4118yes—
922#117—24no—
923#117—28no—
924#117—44no—
925#117—44no—
926#117—48no—
927#117—44no—
928C2×C4⋊C4—28no—
929C2×C4⋊C4—24no—
930C2×C4⋊C4—44no—
931C2×C4⋊C4—44no—
932C2×C4⋊C4—44no—
933C2×C4⋊C4—44no—
934C2×C4⋊C4—44no—
935C2×C4⋊C4—44no—
936C2×C4⋊C4—48no—
937C2×C4⋊C4—44no—
938C2×C4⋊C4—48no—
939C2×C4⋊C4—48no—
940C2×C4⋊C4—82no—
941C2×C4⋊C4—84no—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C22⋊C4—28no—
1024C2×C22⋊C4—44no—
1025C2×C22⋊C4—48no—
1026C2×C22⋊C4—48no—
1027C2×C22⋊C4—84no—
1028C2×C22⋊C4C2×Q8116yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C42—28no—
1075C2×C42—24no—
1076C2×C42—24no—
1077C2×C42—44no—
1078C2×C42—84no—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2414yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2414yes—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2411yescharacteristic
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182C24—24no—
1183C24—24no—
1184C24—42no—
1185C24—42no—
1186C24—42no—
1187C24—42no—
1188C24C22×Q818yes—
1189C24C2511yescharacteristic
1190C24C2512yes—
1191C24C2511yescharacteristic
1192C24C2512yes—
1193#41—232no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—24no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×Q8—42no—
1203C2×Q8—42no—
1204C2×Q8—42no—
1205C2×Q8—44no—
1206C2×Q8—44no—
1207C2×Q8—44no—
1208C2×Q8C22×Q814yes—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—232no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—41no—
1217C2×D4—42no—
1218C2×D4—41no—
1219C2×D4—42no—
1220C2×D4C22×Q818yes—
1221C2×D4C22×Q818yes—
1222C2×D4C22×Q814yes—
1223C2×D4C22×Q814yes—
1224C2×D4C22×Q818yes—
1225C2×D4C22×Q814yes—
1226C2×D4C2×#4114yes—
1227C2×D4H(5,𝔽2)14yes—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—28no—
1238C22×C4—24no—
1239C22×C4—28no—
1240C22×C4—28no—
1241C22×C4—28no—
1242C22×C4—24no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—41no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—42no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—816no—
1290C22×C4C22×Q818yes—
1291C22×C4C22×Q814yes—
1292C22×C4C22×Q814yes—
1293C22×C4C22×Q818yes—
1294C22×C4C2×#4118yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2514yes—
1301C22×C4C2512yes—
1302C22×C4C2514yes—
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2514yes—
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2514yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—28no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—28no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—28no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
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—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—41no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4C22×Q814yes—
1404C4⋊C4C22×Q814yes—
1405C4⋊C4C22×Q818yes—
1406C4⋊C4C2×#4114yes—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—22no—
1418C22⋊C4—24no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4C22×Q814yes—
1445C22⋊C4C22×Q818yes—
1446C22⋊C4C22×Q818yes—
1447C22⋊C4C22×Q818yes—
1448C22⋊C4C22×Q818yes—
1449C22⋊C4C22×Q814yes—
1450C22⋊C4C22×Q818yes—
1451C22⋊C4C2×#4118yes—
1452C42—22no—
1453C42—22no—
1454C42—24no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—24no—
1459C42—22no—
1460C42—24no—
1461C42—24no—
1462C42—24no—
1463C42—24no—
1464C42—24no—
1465C42—22no—
1466C42—22no—
1467C42—24no—
1468C42—22no—
1469C42—42no—
1470C42—42no—
1471C42—42no—
1472C42—44no—
1473C42—44no—
1474C42—44no—
1475C42—44no—
1476C42—44no—
1477C42—44no—
1478C42—41no—
1479C42—42no—
1480C42—42no—
1481C42—41no—
1482C42—42no—
1483C42C22×Q814yes—
1484C42C2×#4114yes—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—21no—
1490C23—22no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—22no—
1495C23—22no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—22no—
1500C23—21no—
1501C23—21no—
1502C23—22no—
1503C23—21no—
1504C23—21no—
1505C23—22no—
1506C23—21no—
1507C23—216no—
1508C23—48no—
1509C23—48no—
1510C23—84no—
1511C23—84no—
1512C23—84no—
1513C23—84no—
1514C23C23×Q812yes—
1515C23C23×Q814yes—
1516C23C23×Q812yes—
1517C23C23×Q814yes—
1518C23C22×#4114yes—
1519C23C2×H(5,𝔽2)14yes—
1520C23C2611yescharacteristic
1521Q8—28no—
1522Q8—44no—
1523Q8—84no—
1524Q8—84no—
1525Q8—164no—
1526D4—216no—
1527D4—216no—
1528D4—28no—
1529D4—48no—
1530D4—44no—
1531D4#554116yes—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—216no—
1551C2×C4—28no—
1552C2×C4—28no—
1553C2×C4—216no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—24no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—24no—
1607C2×C4—24no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—48no—
1615C2×C4—44no—
1616C2×C4—48no—
1617C2×C4—44no—
1618C2×C4—48no—
1619C2×C4—44no—
1620C2×C4—82no—
1621C2×C4—84no—
1622C2×C4—84no—
1623C2×C4—88no—
1624C2×C4—88no—
1625C2×C4—84no—
1626C2×C4—88no—
1627C2×C4—88no—
1628C2×C4—84no—
1629C2×C4—164no—
1630C2×C4—164no—
1631C2×C4—164no—
1632C2×C4C23×Q812yes—
1633C2×C4C23×Q812yes—
1634C2×C4C23×Q814yes—
1635C2×C4C23×Q812yes—
1636C2×C4C23×Q814yes—
1637C2×C4C23×Q812yes—
1638C2×C4C23×Q812yes—
1639C2×C4C22×#4112yes—
1640C2×C4C22×#4114yes—
1641C2×C4C22×#4112yes—
1642C2×C4C22×#4112yes—
1643C2×C4C2×H(5,𝔽2)12yes—
1644C2×C4#58512yes—
1645C2×C4#58512yes—
1646C2×C4#58512yes—
1647C22—24no—
1648C22—24no—
1649C22—24no—
1650C22—24no—
1651C22—24no—
1652C22—24no—
1653C22—22no—
1654C22—24no—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—24no—
1659C22—22no—
1660C22—22no—
1661C22—24no—
1662C22—41no—
1663C22—41no—
1664C22—42no—
1665C22—42no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—42no—
1670C22—41no—
1671C22—41no—
1672C22—42no—
1673C22—41no—
1674C22—816no—
1675C22C2×#55418yes—
1676C22C24×Q811yescharacteristic
1677C22C23×#4111yescharacteristic
1678C22C22×H(5,𝔽2)11yescharacteristic
1679C22C2×#58511yescharacteristic
1680C22C2×#58511yescharacteristic
1681C22C2×#58511yescharacteristic
1682C22H(7,𝔽2)11yescharacteristic
1683C4—22no—
1684C4—24no—
1685C4—22no—
1686C4—22no—
1687C4—24no—
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—24no—
1692C4—42no—
1693C4—41no—
1694C4—42no—
1695C4—44no—
1696C4—42no—
1697C4—41no—
1698C4—44no—
1699C4—42no—
1700C4—42no—
1701C4—42no—
1702C4—41no—
1703C4—42no—
1704C4—41no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—44no—
1709C4—44no—
1710C4—42no—
1711C4—41no—
1712C4C2×#55414yes—
1713C4#352114yes—
1714C2—28no—
1715C2—42no—
1716C2—44no—
1717C2—42no—
1718C2C22×#55411yescharacteristic
1719C2C2×#352111yescharacteristic
1720C2#6281311yescharacteristic
1721C2#6292011yescharacteristic
1722C2#6298911yescharacteristic
1723C2#6300811yescharacteristic
1724C2#6302411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#546C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59856C2semidirect
2. #59463C2semidirect
3. #59452C2semidirect
4. #59429C2semidirect
5. #59305C2semidirect
6. #59291C2semidirect
7. #59245C2semidirect
8. #59199C2semidirect
9. #45405C2semidirect
10. #44944C2semidirect
11. #44477C2semidirect
12. #43122C2semidirect
13. #39608C2semidirect
14. #39607C2semidirect
15. #39605C2semidirect
16. #39604C2semidirect
17. #38961C2semidirect
18. #38959C2semidirect
19. #36555C2semidirect
20. #36551C2semidirect
21. #36275C2semidirect
22. #36261C2semidirect
23. #36239C2semidirect
24. #36190C2semidirect
25. #36189C2semidirect
26. #36154C2semidirect
27. #36031C2semidirect
28. #35776C2semidirect
29. #34941C2semidirect
30. C2×#2497C2semidirect
32. #34183C2semidirect
33. #34181C2semidirect
34. C4×#554C2semidirect
43. #2864C22semidirect
44. #2859C22semidirect
46. #2857C22semidirect
47. #2857C22semidirect
48. #2855C22semidirect
49. #2851C22semidirect
51. #2802C22semidirect
52. #2792C22semidirect
53. #2791C22semidirect
54. #2790C22semidirect
55. #2790C22semidirect
57. #2788C22semidirect
58. #2788C22semidirect
60. #2780C22semidirect
61. #2780C22semidirect
62. #2774C22semidirect
64. #2768C22semidirect
65. #2763C22semidirect
66. #2755C22semidirect
69. #2720C22semidirect
71. #2692C22semidirect
73. #2628C22semidirect
74. #2627C22semidirect
76. #2590C22semidirect
77. #2589C22semidirect
78. #2589C22semidirect
79. #2588C22semidirect
80. #2587C22semidirect
81. #2587C22semidirect
82. #2584C22semidirect
83. #2583C22semidirect
84. #2582C22semidirect
85. #2581C22semidirect
87. #2579C22semidirect
90. #2574C22semidirect
91. #2570C22semidirect
92. #2570C22semidirect
93. #2569C22semidirect
94. #2569C22semidirect
95. #2568C22semidirect
96. #2567C22semidirect
97. #2567C22semidirect
99. #2564C22semidirect
100. #2564C22semidirect
103. #2563C22semidirect
104. #2556C22semidirect
105. #2552C22semidirect
106. #2552C22semidirect
107. #2552C22semidirect
108. #2551C22semidirect
109. #2550C22semidirect
110. #2549C22semidirect
115. #2522C22semidirect
116. #2522C22semidirect
117. #2511C22semidirect
118. #2511C22semidirect
119. #2509C22semidirect
120. #2509C22semidirect
121. #2508C22semidirect
122. #2508C22semidirect
123. #2507C22semidirect
124. #2507C22semidirect
125. #2507C22semidirect
126. #2506C22semidirect
127. #2505C22semidirect
128. #2505C22semidirect
129. #2505C22semidirect
130. #2505C22semidirect
131. #2502C22semidirect
139. #2497C22semidirect
140. #2497C22semidirect
141. #2497C22semidirect
142. #2497C22semidirect
143. #2497C22semidirect
144. #2497C22semidirect
145. #2497C22semidirect
146. #2497C22semidirect
150. #2487C22semidirect
151. #2487C22semidirect
152. #2487C22semidirect
153. #2473C22semidirect
154. #2473C22semidirect
155. #2465C22semidirect
159. #2454C22semidirect
160. #2453C22semidirect
161. #2453C22semidirect
162. #2453C22semidirect
166. #2450C22semidirect
167. #2450C22semidirect
169. #2449C22semidirect
171. #2442C22semidirect
172. #2442C22semidirect
174. #2441C22semidirect
175. #2440C22semidirect
176. #2440C22semidirect
177. #2440C22semidirect
178. #2440C22semidirect
180. #2438C22semidirect
181. #2438C22semidirect
182. #2438C22semidirect
188. #2423C22semidirect
189. #2423C22semidirect
193. #2417C22semidirect
194. #2417C22semidirect
196. #2396C22semidirect
197. C2×#400C22semidirect
199. #2370C22semidirect
200. #2369C22semidirect
201. #2369C22semidirect
202. #2368C22semidirect
203. #2368C22semidirect
212. #2360C22semidirect
213. #2360C22semidirect
214. #2360C22semidirect
219. #2355C22semidirect
222. Q8×C4⋊C4C22semidirect
223. Q8×C4⋊C4C22semidirect
224. Q8×C4⋊C4C22semidirect
241. D4×C4⋊C4C22semidirect
242. D4×C4⋊C4C22semidirect
243. D4×C4⋊C4C22semidirect
244. D4×C4⋊C4C22semidirect
245. #2345C22semidirect
246. #2345C22semidirect
247. #2345C22semidirect
248. #2345C22semidirect
259. #2317C22semidirect
260. #2317C22semidirect
263. C4×C4⋊Q8C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×#125C22semidirect
266. C4×#125C22semidirect
271. C4×C22⋊Q8C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×C22⋊Q8C22semidirect
280. C2×#389C22semidirect
281. C2×#389C22semidirect
283. C2×#387C22semidirect
286. #2285C22semidirect
287. #2285C22semidirect
288. C2×#384C22semidirect
289. C2×#384C22semidirect
293. C42×Q8C22semidirect
297. C2×C4×C4⋊C4C22semidirect
304. #546Q8semidirect

Maximal subgroups

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

subgroupindex
#598562
#594632
#594522
#594292
#593052
#592912
#592452
#591992
#454052
#449442
#444772
#431222
#396082
#396072
#396052
#396042
#389612
#389592
#365552
#365512
#362752
#362612
#362392
#361902
#361892
#361542
#360312
#357762
#349412
C2×#24972
#343092
#341832
#341812
C4×#5542
C4×#5462