Finite Group Databasebeta

← #6907965

Subgroups — #6907965

Order 512.

2474 conjugacy classes of subgroups.

The subgroup lattice has 1715 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36097C211yesmaximal, characteristic, complemented
2D4×#121C211yesmaximal, characteristic, complemented
3#32759C211yesmaximal, characteristic, complemented
4#32707C211yesmaximal, characteristic, complemented
5#31392C211yesmaximal, characteristic, complemented
6#31382C211yesmaximal, characteristic, complemented
7#30711C211yesmaximal, characteristic, complemented
8#30701C211yesmaximal, characteristic, complemented
9#30506C211yesmaximal, characteristic, complemented
10#30501C211yesmaximal, characteristic, complemented
11#30408C211yesmaximal, characteristic, complemented
12#30399C211yesmaximal, characteristic, complemented
13#30108C211yesmaximal, characteristic, complemented
14#30107C211yesmaximal, characteristic, complemented
15#29744C211yesmaximal, characteristic, complemented
16#29595C211yesmaximal, characteristic, complemented
17#29594C211yesmaximal, characteristic, complemented
18#29414C211yesmaximal, characteristic, complemented
19#26220C211yesmaximal, characteristic, complemented
20#26219C211yesmaximal, characteristic, complemented
21#24882C211yesmaximal, characteristic, complemented
22#24881C211yesmaximal, characteristic, complemented
23#24448C211yesmaximal, characteristic, complemented
24#24441C211yesmaximal, characteristic, complemented
25#24382C211yesmaximal, characteristic, complemented
26#24379C211yesmaximal, characteristic, complemented
27#23919C211yesmaximal, characteristic, complemented
28#23866C211yesmaximal, characteristic, complemented
29#23860C211yesmaximal, characteristic, complemented
30#23391C211yesmaximal, characteristic, complemented
31#21740C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C2×#548C2211yescharacteristic, complemented
34C2×D42—21no—
35C2×D42C2211yescharacteristic
36C2×#525C2211yescharacteristic, complemented
37C22×C22⋊Q8C2211yescharacteristic, complemented
38C22×#121C2211yescharacteristic
39C22×#121C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41C2×#481C2211yescharacteristic, complemented
42C2×#480C2211yescharacteristic, complemented
43C2×#468C2211yescharacteristic, complemented
44C2×#466C2211yescharacteristic, complemented
45C2×#465C2211yescharacteristic, complemented
46C2×#465C2211yescharacteristic, complemented
47C2×#465C2211yescharacteristic, complemented
48C2×#449C2211yescharacteristic, complemented
49C2×#448C2211yescharacteristic, complemented
50C2×#448C2211yescharacteristic, complemented
51C2×#448C2211yescharacteristic, complemented
52C2×#450C2211yescharacteristic, complemented
53C2×#450C2211yescharacteristic, complemented
54C2×#450C2211yescharacteristic, complemented
55C2×#447C2211yescharacteristic, complemented
56C2×#417C2211yescharacteristic, complemented
57C2×#418C2211yescharacteristic, complemented
58C2×#407C2211yescharacteristic, complemented
59C22×C22⋊C8C2211yescharacteristic, complemented
60#2856C2211yescharacteristic
61#2850C2211yescharacteristic, complemented
62#2848C2211yescharacteristic, complemented
63#2847C2211yescharacteristic
64#2847C2211yescharacteristic
65#2847C2211yescharacteristic, complemented
66#2541C2211yescharacteristic
67#2540C2211yescharacteristic, complemented
68#2537C2211yescharacteristic
69#2536C2211yescharacteristic, complemented
70#2472—21no—
71#2463—21no—
72#2461—21no—
73#2449—21no—
74#2443—21no—
75#2428—21no—
76#2424—21no—
77#2424—21no—
78#2416—21no—
79#2416C2211yescharacteristic
80#2416C2211yescharacteristic
81#2416C2211yescharacteristic, complemented
82#2415C2211yescharacteristic
83#2410—21no—
84#2410—21no—
85#2410—21no—
86#2409C2211yescharacteristic, complemented
87#2408C2211yescharacteristic
88#2408C2211yescharacteristic
89#2407C2211yescharacteristic
90#2361—21no—
91#2358—21no—
92#2352C2211yescharacteristic, complemented
93D4×C4⋊C4C2211yescharacteristic
94D4×C22⋊C4—21no—
95C4×C22⋊Q8C2211yescharacteristic, complemented
96C4×#121C2211yescharacteristic
97#2101C2211yescharacteristic, complemented
98#2099C2211yescharacteristic, complemented
99#2096C2211yescharacteristic, complemented
100#2092C2211yescharacteristic, complemented
101#2077C2211yescharacteristic, complemented
102#2077C2211yescharacteristic, complemented
103#2076C2211yescharacteristic, complemented
104#2075C2211yescharacteristic, complemented
105#2073C2211yescharacteristic, complemented
106#2073C2211yescharacteristic, complemented
107#2072C2211yescharacteristic, complemented
108#2071C2211yescharacteristic, complemented
109#2042C2211yescharacteristic, complemented
110#2041C2211yescharacteristic, complemented
111#2036C2211yescharacteristic, complemented
112#2036C2211yescharacteristic, complemented
113#2036C2211yescharacteristic, complemented
114#2036C2211yescharacteristic, complemented
115#2035C2211yescharacteristic, complemented
116#2034C2211yescharacteristic
117#2034C2211yescharacteristic, complemented
118#2034C2211yescharacteristic, complemented
119#2034C2211yescharacteristic, complemented
120#2034C2211yescharacteristic, complemented
121#2034C2211yescharacteristic, complemented
122#2034C2211yescharacteristic, complemented
123#2034C2211yescharacteristic, complemented
124#2033C2211yescharacteristic, complemented
125#2033C2211yescharacteristic, complemented
126#2033C2211yescharacteristic, complemented
127#2014C2211yescharacteristic, complemented
128#2014C2211yescharacteristic, complemented
129#2012C2211yescharacteristic, complemented
130#2012C2211yescharacteristic, complemented
131#2012C2211yescharacteristic, complemented
132#2011C2211yescharacteristic, complemented
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic, complemented
136#2000C2211yescharacteristic, complemented
137#2000C2211yescharacteristic, complemented
138#2000C2211yescharacteristic, complemented
139#2000C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#1999C2211yescharacteristic
145#1999C2211yescharacteristic, complemented
146#1999C2211yescharacteristic, complemented
147#1999C2211yescharacteristic, complemented
148#1999C2211yescharacteristic, complemented
149#1999C2211yescharacteristic, complemented
150#1999C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1927C2211yescharacteristic, complemented
154#1927C2211yescharacteristic, complemented
155#1926C2211yescharacteristic, complemented
156#1926C2211yescharacteristic, complemented
157#1925C2211yescharacteristic, complemented
158#1925C2211yescharacteristic, complemented
159#1920C2211yescharacteristic, complemented
160#1918C2211yescharacteristic, complemented
161#1895C2211yescharacteristic, complemented
162#1894C2211yescharacteristic, complemented
163#1893C2211yescharacteristic, complemented
164#1893C2211yescharacteristic, complemented
165#1893C2211yescharacteristic, complemented
166#1892C2211yescharacteristic, complemented
167#1880C2211yescharacteristic, complemented
168#1880C2211yescharacteristic, complemented
169#1880C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1877C2211yescharacteristic, complemented
172#1877C2211yescharacteristic, complemented
173#1875C2211yescharacteristic, complemented
174#1874C2211yescharacteristic, complemented
175#1874C2211yescharacteristic, complemented
176#1872C2211yescharacteristic, complemented
177#1872C2211yescharacteristic, complemented
178#1872C2211yescharacteristic, complemented
179#1870C2211yescharacteristic
180#1870C2211yescharacteristic
181#1870C2211yescharacteristic, complemented
182#1870C2211yescharacteristic, complemented
183#1869C2211yescharacteristic, complemented
184#1869C2211yescharacteristic, complemented
185#1869C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1863C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1854C2211yescharacteristic, complemented
190#1853C2211yescharacteristic, complemented
191#1824C2211yescharacteristic, complemented
192#1823C2211yescharacteristic, complemented
193#1817C2211yescharacteristic, complemented
194#1817C2211yescharacteristic, complemented
195#1809C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1787C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1779C2211yescharacteristic, complemented
201#1779C2211yescharacteristic, complemented
202#1736C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×Q8C2311yescharacteristic
205C23×D4—21no—
206C23×D4—21no—
207C23×D4—21no—
208C23×D4D411yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C24×C4C2311yescharacteristic
213C2×AGL(1,ℤ/8)—42no—
214C2×AGL(1,ℤ/8)—42no—
215C2×AGL(1,ℤ/8)—42no—
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×M16C2311yescharacteristic
226C22×M16C2311yescharacteristic
227C23×C8C2311yescharacteristic
228C23×C8C2311yescharacteristic
229#548—42no—
230#548—42no—
231D42—42no—
232D42—42no—
233D42—48no—
234C2×#127—21no—
235C2×#127C2311yescharacteristic
236C2×#124—21no—
237C2×#124C2311yescharacteristic
238#525—42no—
239#525—42no—
240C2×#123—21no—
241C2×C22⋊Q8—21no—
242C2×C22⋊Q8—21no—
243C2×C22⋊Q8—21no—
244C2×C22⋊Q8—42no—
245C2×C22⋊Q8—42no—
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×C22⋊Q8C2311yescharacteristic
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—21no—
265C2×#121—42no—
266C2×#121—42no—
267C2×#121—42no—
268C2×#121—42no—
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#120—21no—
285C2×#120—21no—
286C2×#120—21no—
287C2×#120—21no—
288C2×#120—21no—
289C2×#120—21no—
290C2×#120—21no—
291C2×#120—21no—
292C2×C4×Q8C2311yescharacteristic
293C2×C4×D4—21no—
294C2×C4×D4—21no—
295C2×C4×D4—21no—
296C2×C4×D4—21no—
297C2×C4×D4—21no—
298C2×C4×D4—42no—
299C2×C4×D4—42no—
300C2×C4×D4D411yescharacteristic
301C2×C4×D4D411yescharacteristic
302C2×C4×D4D411yescharacteristic
303C2×C4×D4D411yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×#117C2311yescharacteristic
310C22×C4⋊C4—21no—
311C22×C4⋊C4D411yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C22⋊C4—21no—
316C22×C22⋊C4—21no—
317C22×C22⋊C4—21no—
318C22×C22⋊C4D411yescharacteristic
319C22×C22⋊C4D411yescharacteristic
320C22×C42C2311yescharacteristic
321#481—42no—
322#480—42no—
323#468—42no—
324#466—42no—
325#465—42no—
326#465—42no—
327#465—42no—
328#450—42no—
329#450—42no—
330#450—42no—
331#449—42no—
332#448—42no—
333#448—42no—
334#448—42no—
335#447—42no—
336C2×#107C2311yescharacteristic
337C2×#107C2311yescharacteristic
338C2×#107C2311yescharacteristic
339C2×#106C2311yescharacteristic
340C2×#106C2311yescharacteristic
341C2×#106C2311yescharacteristic
342C2×#106C2311yescharacteristic
343#418—42no—
344#417—42no—
345C2×#103C2311yescharacteristic
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
350C2×#103C2311yescharacteristic
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375#407—42no—
376C2×C22⋊C8—42no—
377C2×C22⋊C8C2311yescharacteristic
378C2×C22⋊C8C2311yescharacteristic
379C2×C22⋊C8C2311yescharacteristic
380C2×C22⋊C8C2311yescharacteristic
381C2×C22⋊C8C2311yescharacteristic
382C2×C22⋊C8C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393#399—21no—
394#398—21no—
395#397—21no—
396#396—21no—
397#396—21no—
398#396—21no—
399#395—21no—
400#394—21no—
401#394—21no—
402#394—21no—
403#394—21no—
404#394—21no—
405#394—21no—
406#394—21no—
407#394—21no—
408#394—21no—
409#394—21no—
410#393—21no—
411#392—21no—
412#392—21no—
413#392—21no—
414#392—21no—
415#392—21no—
416#392—21no—
417#391C2311yescharacteristic
418#391C2311yescharacteristic
419#390—21no—
420#390—21no—
421#390—21no—
422#390—21no—
423#390—21no—
424#390C2311yescharacteristic
425#390C2311yescharacteristic
426#390C2311yescharacteristic
427#390C2311yescharacteristic
428#389—21no—
429#389—21no—
430#389C2311yescharacteristic
431#389C2311yescharacteristic
432#388—21no—
433#388—21no—
434#388—21no—
435#388—21no—
436#388—21no—
437#388—21no—
438#388—21no—
439#387—21no—
440#387—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#386—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#386—21no—
459#385—21no—
460#385—21no—
461#385—21no—
462#385—21no—
463#385—21no—
464#385—21no—
465#385—21no—
466#385—21no—
467#384C2311yescharacteristic
468#382C2311yescharacteristic
469#380—21no—
470#380C2311yescharacteristic
471#380C2311yescharacteristic
472#380C2311yescharacteristic
473#380C2311yescharacteristic
474#380C2311yescharacteristic
475#380C2311yescharacteristic
476#380C2311yescharacteristic
477#380C2311yescharacteristic
478#380C2311yescharacteristic
479#380C2311yescharacteristic
480#379—21no—
481#379—21no—
482#379—21no—
483C4×C4⋊C4—21no—
484C4×C4⋊C4C2311yescharacteristic
485C4×C4⋊C4C2311yescharacteristic
486C4×C22⋊C4—21no—
487C4×C22⋊C4—21no—
488C4×C22⋊C4—21no—
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#340C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#340C2311yescharacteristic
503#340C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#336C2311yescharacteristic
508#336C2311yescharacteristic
509#336C2311yescharacteristic
510#336C2311yescharacteristic
511#336C2311yescharacteristic
512#336C2311yescharacteristic
513#336C2311yescharacteristic
514#336C2311yescharacteristic
515C25—21no—
516C25—21no—
517C25C2×D411yescharacteristic
518C25C2×D411yescharacteristic
519C2×#41—22no—
520C2×#41—22no—
521C2×#41—22no—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—41no—
525C22×Q8—21no—
526C22×Q8—22no—
527C22×Q8—41no—
528C22×Q8—41no—
529C22×Q8—41no—
530C22×Q8—41no—
531C22×Q8—41no—
532C22×Q8C2411yescharacteristic
533C22×Q8C2411yescharacteristic
534C22×D4—21no—
535C22×D4—24no—
536C22×D4—22no—
537C22×D4—22no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—22no—
558C22×D4—22no—
559C22×D4—41no—
560C22×D4—41no—
561C22×D4—41no—
562C22×D4—41no—
563C22×D4—41no—
564C22×D4—41no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4—42no—
568C22×D4—42no—
569C22×D4—44no—
570C22×D4—44no—
571C22×D4—44no—
572C22×D4—44no—
573C22×D4—44no—
574C22×D4—44no—
575C22×D4—44no—
576C22×D4—82no—
577C22×D4—82no—
578C22×D4C2×D411yescharacteristic
579C22×D4C2×D411yescharacteristic
580C22×D4C2×D411yescharacteristic
581C22×D4C2×D411yescharacteristic
582C22×D4C2411yescharacteristic
583C22×D4C2411yescharacteristic
584C22×D4C2411yescharacteristic
585C22×D4C2411yescharacteristic
586C23×C4—22no—
587C23×C4—22no—
588C23×C4—21no—
589C23×C4—21no—
590C23×C4—21no—
591C23×C4—21no—
592C23×C4—21no—
593C23×C4—21no—
594C23×C4—41no—
595C23×C4—41no—
596C23×C4—41no—
597C23×C4—41no—
598C23×C4—41no—
599C23×C4—41no—
600C23×C4—41no—
601C23×C4—41no—
602C23×C4—41no—
603C23×C4—41no—
604C23×C4C2×D411yescharacteristic
605C23×C4C2×D411yescharacteristic
606C23×C4C2×D411yescharacteristic
607C23×C4C2×D411yescharacteristic
608C23×C4C2×D411yescharacteristic
609C23×C4C2×D411yescharacteristic
610C23×C4C2×D411yescharacteristic
611C23×C4C2×D411yescharacteristic
612C23×C4C2411yescharacteristic
613C23×C4C2411yescharacteristic
614C23×C4C2411yescharacteristic
615C23×C4C2411yescharacteristic
616C23×C4C2411yescharacteristic
617AGL(1,ℤ/8)—416no—
618C2×SD16—22no—
619C2×SD16—22no—
620C2×SD16—22no—
621C2×SD16—22no—
622C2×SD16—22no—
623C2×SD16—41no—
624C2×SD16—41no—
625C2×SD16—41no—
626C2×SD16—41no—
627C2×SD16—41no—
628C2×SD16—41no—
629C2×SD16—41no—
630C2×SD16—41no—
631C2×SD16—41no—
632C2×SD16—41no—
633C2×SD16—41no—
634C2×SD16—41no—
635C2×SD16—41no—
636C2×D8—22no—
637C2×D8—41no—
638C2×D8—41no—
639C2×D8—41no—
640C2×D8—41no—
641C2×D8—41no—
642C2×D8—41no—
643C2×D8—41no—
644C2×D8—41no—
645C2×M16—22no—
646C2×M16—22no—
647C2×M16—41no—
648C2×M16—41no—
649C2×M16—41no—
650C2×M16—41no—
651C22×C8—41no—
652C22×C8—41no—
653C22×C8—41no—
654C22×C8—41no—
655C22×C8—41no—
656C22×C8—41no—
657C22×C8C2411yescharacteristic
658C22×C8C2411yescharacteristic
659C22×C8C2411yescharacteristic
660C22×C8C2411yescharacteristic
661C22×C8C2411yescharacteristic
662C22×C8C2411yescharacteristic
663C22×C8C2411yescharacteristic
664C22×C8C2411yescharacteristic
665#127—41no—
666#127—41no—
667#127—44no—
668#124—41no—
669#124—41no—
670#124—44no—
671#123—44no—
672C22⋊Q8—22no—
673C22⋊Q8—22no—
674C22⋊Q8—22no—
675C22⋊Q8—22no—
676C22⋊Q8—22no—
677C22⋊Q8—22no—
678C22⋊Q8—22no—
679C22⋊Q8—44no—
680C22⋊Q8—41no—
681C22⋊Q8—41no—
682C22⋊Q8—41no—
683C22⋊Q8—41no—
684C22⋊Q8—41no—
685C22⋊Q8—44no—
686C22⋊Q8—44no—
687C22⋊Q8—41no—
688C22⋊Q8—41no—
689#121—22no—
690#121—22no—
691#121—22no—
692#121—22no—
693#121—22no—
694#121—22no—
695#121—22no—
696#121—22no—
697#121—22no—
698#121—44no—
699#121—44no—
700#121—41no—
701#121—41no—
702#121—41no—
703#121—41no—
704#121—41no—
705#121—41no—
706#121—41no—
707#121—41no—
708#121—41no—
709#121—41no—
710#121—41no—
711#121—41no—
712#121—41no—
713#121—41no—
714#121—41no—
715#121—44no—
716#121—44no—
717#121—44no—
718#121—44no—
719#121—44no—
720#121—44no—
721#121—44no—
722#121—44no—
723#121—44no—
724#121—41no—
725#121—41no—
726#121—41no—
727#121—41no—
728#121—41no—
729#121—41no—
730#121—82no—
731#120—44no—
732#120—44no—
733#120—44no—
734#120—44no—
735#120—44no—
736#120—44no—
737#120—44no—
738#120—44no—
739C4×Q8—41no—
740C4×Q8—41no—
741C4×D4—22no—
742C4×D4—22no—
743C4×D4—22no—
744C4×D4—22no—
745C4×D4—41no—
746C4×D4—41no—
747C4×D4—41no—
748C4×D4—41no—
749C4×D4—41no—
750C4×D4—41no—
751C4×D4—42no—
752C4×D4—42no—
753C4×D4—42no—
754C4×D4—42no—
755C4×D4—44no—
756C4×D4—44no—
757C4×D4—44no—
758C4×D4—44no—
759C4×D4—44no—
760#117—22no—
761#117—41no—
762C2×C4⋊C4—21no—
763C2×C4⋊C4—22no—
764C2×C4⋊C4—22no—
765C2×C4⋊C4—22no—
766C2×C4⋊C4—21no—
767C2×C4⋊C4—21no—
768C2×C4⋊C4—21no—
769C2×C4⋊C4—21no—
770C2×C4⋊C4—21no—
771C2×C4⋊C4—21no—
772C2×C4⋊C4—21no—
773C2×C4⋊C4—21no—
774C2×C4⋊C4—21no—
775C2×C4⋊C4—21no—
776C2×C4⋊C4—21no—
777C2×C4⋊C4—21no—
778C2×C4⋊C4—21no—
779C2×C4⋊C4—21no—
780C2×C4⋊C4—42no—
781C2×C4⋊C4—41no—
782C2×C4⋊C4—41no—
783C2×C4⋊C4—41no—
784C2×C4⋊C4—44no—
785C2×C4⋊C4C2×D411yescharacteristic
786C2×C4⋊C4C2×D411yescharacteristic
787C2×C4⋊C4C2×D411yescharacteristic
788C2×C4⋊C4C2×D411yescharacteristic
789C2×C4⋊C4C2411yescharacteristic
790C2×C4⋊C4C2411yescharacteristic
791C2×C4⋊C4C2411yescharacteristic
792C2×C4⋊C4C2411yescharacteristic
793C2×C4⋊C4C2411yescharacteristic
794C2×C4⋊C4C2411yescharacteristic
795C2×C4⋊C4C2411yescharacteristic
796C2×C4⋊C4C2411yescharacteristic
797C2×C4⋊C4C2411yescharacteristic
798C2×C4⋊C4C2411yescharacteristic
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—21no—
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4—21no—
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
836C2×C22⋊C4—21no—
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—42no—
844C2×C22⋊C4—42no—
845C2×C22⋊C4—44no—
846C2×C22⋊C4—44no—
847C2×C22⋊C4—44no—
848C2×C22⋊C4C2×D411yescharacteristic
849C2×C22⋊C4C2×D411yescharacteristic
850C2×C22⋊C4C2×D411yescharacteristic
851C2×C22⋊C4C2×D411yescharacteristic
852C2×C22⋊C4C2×D411yescharacteristic
853C2×C22⋊C4C2×D411yescharacteristic
854C2×C22⋊C4C2×D411yescharacteristic
855C2×C22⋊C4C2×D411yescharacteristic
856C2×C42—21no—
857C2×C42—21no—
858C2×C42—21no—
859C2×C42—21no—
860C2×C42—41no—
861C2×C42—41no—
862C2×C42C2×D411yescharacteristic
863C2×C42C2×D411yescharacteristic
864C2×C42C2411yescharacteristic
865C2×C42C2411yescharacteristic
866#107—22no—
867#107—41no—
868#107—41no—
869#106—22no—
870#106—41no—
871#106—41no—
872#106—41no—
873#103—22no—
874#103—22no—
875#103—22no—
876#103—41no—
877#103—41no—
878#103—41no—
879#103—41no—
880#103—41no—
881#103—41no—
882#103—41no—
883#102—22no—
884#102—22no—
885#102—22no—
886#102—22no—
887#102—22no—
888#102—41no—
889#102—41no—
890#102—41no—
891#102—41no—
892#102—41no—
893#102—41no—
894#102—41no—
895#102—41no—
896#102—41no—
897#102—41no—
898#102—41no—
899#102—41no—
900#102—41no—
901#102—41no—
902#102—41no—
903C22⋊C8—22no—
904C22⋊C8—22no—
905C22⋊C8—41no—
906C22⋊C8—41no—
907C22⋊C8—41no—
908C22⋊C8—41no—
909C22⋊C8—41no—
910C22⋊C8—41no—
911C22⋊C8—41no—
912C22⋊C8—41no—
913C22⋊C8—41no—
914C22⋊C8—41no—
915C22⋊C8—41no—
916C22⋊C8—41no—
917C22⋊C8—41no—
918C22⋊C8—41no—
919#95—21no—
920#95—21no—
921#95—21no—
922#95—21no—
923#95—21no—
924#95—21no—
925#95—21no—
926#95—21no—
927#95—21no—
928#95—21no—
929#95—21no—
930#95—21no—
931#95—21no—
932#95—21no—
933#95—21no—
934#95—21no—
935#95—21no—
936#95—21no—
937#95—21no—
938#95—21no—
939C24—21no—
940C24—22no—
941C24—22no—
942C24—22no—
943C24—22no—
944C24—22no—
945C24—22no—
946C24—21no—
947C24—21no—
948C24—21no—
949C24—41no—
950C24—41no—
951C24—41no—
952C24—41no—
953C24—41no—
954C24—41no—
955C24—41no—
956C24—41no—
957C24—42no—
958C24—42no—
959C24—42no—
960C24—42no—
961C24—42no—
962C24—42no—
963C24—42no—
964C24—42no—
965C24—81no—
966C24—81no—
967C24—81no—
968C24—81no—
969C24—81no—
970C24—81no—
971C24C22×D411yescharacteristic
972C24C22×D411yescharacteristic
973C24C22×D411yescharacteristic
974C24C22×D411yescharacteristic
975C24C22×D411yescharacteristic
976#41—44no—
977#41—44no—
978#41—82no—
979#41—82no—
980C2×Q8—21no—
981C2×Q8—21no—
982C2×Q8—21no—
983C2×Q8—21no—
984C2×Q8—21no—
985C2×Q8—21no—
986C2×Q8—21no—
987C2×Q8—21no—
988C2×Q8—21no—
989C2×Q8—21no—
990C2×Q8—21no—
991C2×Q8—42no—
992C2×Q8—42no—
993C2×Q8—81no—
994C2×Q8—82no—
995C2×Q8—82no—
996C2×Q8—82no—
997C2×Q8—82no—
998C2×Q8H(5,𝔽2)12yes—
999C2×D4—22no—
1000C2×D4—22no—
1001C2×D4—24no—
1002C2×D4—22no—
1003C2×D4—22no—
1004C2×D4—22no—
1005C2×D4—22no—
1006C2×D4—22no—
1007C2×D4—21no—
1008C2×D4—21no—
1009C2×D4—21no—
1010C2×D4—21no—
1011C2×D4—21no—
1012C2×D4—21no—
1013C2×D4—21no—
1014C2×D4—21no—
1015C2×D4—21no—
1016C2×D4—21no—
1017C2×D4—21no—
1018C2×D4—21no—
1019C2×D4—21no—
1020C2×D4—21no—
1021C2×D4—21no—
1022C2×D4—21no—
1023C2×D4—21no—
1024C2×D4—21no—
1025C2×D4—21no—
1026C2×D4—21no—
1027C2×D4—21no—
1028C2×D4—21no—
1029C2×D4—21no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—41no—
1033C2×D4—41no—
1034C2×D4—41no—
1035C2×D4—41no—
1036C2×D4—42no—
1037C2×D4—42no—
1038C2×D4—42no—
1039C2×D4—42no—
1040C2×D4—42no—
1041C2×D4—42no—
1042C2×D4—42no—
1043C2×D4—42no—
1044C2×D4—42no—
1045C2×D4—42no—
1046C2×D4—416no—
1047C2×D4—42no—
1048C2×D4—42no—
1049C2×D4—42no—
1050C2×D4—42no—
1051C2×D4—42no—
1052C2×D4—42no—
1053C2×D4—42no—
1054C2×D4—42no—
1055C2×D4—42no—
1056C2×D4—42no—
1057C2×D4—42no—
1058C2×D4—42no—
1059C2×D4—42no—
1060C2×D4—42no—
1061C2×D4—42no—
1062C2×D4—42no—
1063C2×D4—42no—
1064C2×D4—42no—
1065C2×D4—42no—
1066C2×D4—42no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—42no—
1070C2×D4—42no—
1071C2×D4—42no—
1072C2×D4—42no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—42no—
1080C2×D4—82no—
1081C2×D4—82no—
1082C2×D4—81no—
1083C2×D4—81no—
1084C2×D4—81no—
1085C2×D4—81no—
1086C2×D4—82no—
1087C2×D4—82no—
1088C2×D4—82no—
1089C2×D4—82no—
1090C2×D4—81no—
1091C2×D4—81no—
1092C2×D4—81no—
1093C2×D4—81no—
1094C2×D4—81no—
1095C2×D4—81no—
1096C2×D4—81no—
1097C2×D4—81no—
1098C2×D4—81no—
1099C2×D4—81no—
1100C2×D4—81no—
1101C2×D4—81no—
1102C2×D4—816no—
1103C2×D4—816no—
1104C2×D4—816no—
1105C2×D4AGL(1,ℤ/8)14yescomplemented
1106C2×D4H(5,𝔽2)12yes—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—42no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—82no—
1185C22×C4—82no—
1186C22×C4—82no—
1187C22×C4—82no—
1188C22×C4—81no—
1189C22×C4—82no—
1190C22×C4—82no—
1191C22×C4—82no—
1192C22×C4—82no—
1193C22×C4—81no—
1194C22×C4—81no—
1195C22×C4—81no—
1196C22×C4—81no—
1197C22×C4C22×D411yescharacteristic
1198C22×C4C22×D411yescharacteristic
1199C22×C4C22×D411yescharacteristic
1200C22×C4C22×D411yescharacteristic
1201C22×C4C22×D411yescharacteristic
1202C22×C4C22×D411yescharacteristic
1203C22×C4C22×D411yescharacteristic
1204C22×C4C22×D411yescharacteristic
1205C22×C4C22×D411yescharacteristic
1206C22×C4H(5,𝔽2)12yes—
1207C22×C4H(5,𝔽2)12yes—
1208C22×C4C2511yescharacteristic
1209SD16—44no—
1210SD16—44no—
1211SD16—82no—
1212SD16—82no—
1213SD16—82no—
1214SD16—82no—
1215D8—44no—
1216D8—44no—
1217D8—82no—
1218M16—44no—
1219M16—82no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—21no—
1236C2×C8—21no—
1237C2×C8—21no—
1238C2×C8—21no—
1239C2×C8—21no—
1240C2×C8—21no—
1241C2×C8—21no—
1242C2×C8—21no—
1243C2×C8—21no—
1244C2×C8—82no—
1245C2×C8—82no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—21no—
1250C4⋊C4—21no—
1251C4⋊C4—21no—
1252C4⋊C4—21no—
1253C4⋊C4—21no—
1254C4⋊C4—21no—
1255C4⋊C4—21no—
1256C4⋊C4—21no—
1257C4⋊C4—21no—
1258C4⋊C4—21no—
1259C4⋊C4—21no—
1260C4⋊C4—21no—
1261C4⋊C4—21no—
1262C4⋊C4—21no—
1263C4⋊C4—21no—
1264C4⋊C4—21no—
1265C4⋊C4—21no—
1266C4⋊C4—21no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—81no—
1282C4⋊C4—81no—
1283C4⋊C4H(5,𝔽2)12yes—
1284C4⋊C4H(5,𝔽2)12yes—
1285C22⋊C4—24no—
1286C22⋊C4—24no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—42no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—81no—
1329C22⋊C4—81no—
1330C22⋊C4—81no—
1331C22⋊C4—81no—
1332C22⋊C4—81no—
1333C22⋊C4—81no—
1334C22⋊C4—81no—
1335C22⋊C4—81no—
1336C22⋊C4—81no—
1337C42—21no—
1338C42—21no—
1339C42—21no—
1340C42—21no—
1341C42—41no—
1342C42—41no—
1343C42—42no—
1344C42—42no—
1345C42—42no—
1346C42—81no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—22no—
1378C23—44no—
1379C23—44no—
1380C23—44no—
1381C23—44no—
1382C23—44no—
1383C23—44no—
1384C23—41no—
1385C23—41no—
1386C23—41no—
1387C23—41no—
1388C23—41no—
1389C23—41no—
1390C23—41no—
1391C23—41no—
1392C23—41no—
1393C23—41no—
1394C23—41no—
1395C23—41no—
1396C23—41no—
1397C23—41no—
1398C23—41no—
1399C23—41no—
1400C23—41no—
1401C23—41no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—41no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—82no—
1412C23—82no—
1413C23—82no—
1414C23—82no—
1415C23—82no—
1416C23—82no—
1417C23—84no—
1418C23—84no—
1419C23—84no—
1420C23—84no—
1421C23—82no—
1422C23—82no—
1423C23—84no—
1424C23—84no—
1425C23—84no—
1426C23—84no—
1427C23—162no—
1428C23—162no—
1429C23—162no—
1430C23—162no—
1431C23—162no—
1432C23—162no—
1433C23#53412yes—
1434C23C2×AGL(1,ℤ/8)12yes—
1435C23C2×AGL(1,ℤ/8)12yes—
1436C23#57512yes—
1437C23#57712yes—
1438C23C23×D411yescharacteristic
1439Q8—22no—
1440Q8—22no—
1441Q8—41no—
1442Q8—41no—
1443Q8—41no—
1444Q8—41no—
1445Q8—41no—
1446Q8—41no—
1447Q8—84no—
1448D4—28no—
1449D4—22no—
1450D4—22no—
1451D4—44no—
1452D4—44no—
1453D4—44no—
1454D4—48no—
1455D4—41no—
1456D4—41no—
1457D4—41no—
1458D4—41no—
1459D4—41no—
1460D4—41no—
1461D4—41no—
1462D4—41no—
1463D4—41no—
1464D4—41no—
1465D4—41no—
1466D4—41no—
1467D4—41no—
1468D4—41no—
1469D4—84no—
1470D4—84no—
1471D4—84no—
1472D4—84no—
1473D4—84no—
1474D4—84no—
1475D4—84no—
1476D4—84no—
1477D4—84no—
1478D4—84no—
1479D4—84no—
1480D4—84no—
1481D4—84no—
1482D4—84no—
1483D4—84no—
1484D4—162no—
1485D4—162no—
1486D4—162no—
1487D4—162no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—44no—
1521C2×C4—41no—
1522C2×C4—41no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—41no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—82no—
1571C2×C4—82no—
1572C2×C4—84no—
1573C2×C4—84no—
1574C2×C4—82no—
1575C2×C4—82no—
1576C2×C4—82no—
1577C2×C4—82no—
1578C2×C4—82no—
1579C2×C4—84no—
1580C2×C4—84no—
1581C2×C4—84no—
1582C2×C4—84no—
1583C2×C4#53412yes—
1584C2×C4C2×AGL(1,ℤ/8)12yes—
1585C2×C4C2×H(5,𝔽2)11yescharacteristic
1586C2×C4C2×H(5,𝔽2)11yescharacteristic
1587C2×C4C2×H(5,𝔽2)11yescharacteristic
1588C2×C4C2×H(5,𝔽2)11yescharacteristic
1589C2×C4C2×H(5,𝔽2)11yescharacteristic
1590C2×C4C2×H(5,𝔽2)11yescharacteristic
1591C8—41no—
1592C8—41no—
1593C8—41no—
1594C8—41no—
1595C8—41no—
1596C8—41no—
1597C8—41no—
1598C8—41no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—88no—
1638C22—88no—
1639C22—81no—
1640C22—81no—
1641C22—81no—
1642C22—81no—
1643C22—81no—
1644C22—81no—
1645C22—81no—
1646C22—81no—
1647C22—81no—
1648C22—81no—
1649C22—81no—
1650C22—81no—
1651C22—81no—
1652C22—81no—
1653C22—81no—
1654C22—81no—
1655C22—81no—
1656C22—81no—
1657C22—81no—
1658C22—81no—
1659C22—81no—
1660C22—81no—
1661C22—81no—
1662C22—81no—
1663C22—81no—
1664C22—168no—
1665C22—168no—
1666C22C2×#53411yescharacteristic
1667C22#348411yescharacteristic
1668C22#348411yescharacteristic
1669C22C22×AGL(1,ℤ/8)11yescharacteristic
1670C22C2×#57511yescharacteristic
1671C22C2×#57711yescharacteristic
1672C22#358411yescharacteristic
1673C4—22no—
1674C4—22no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—81no—
1686C4—81no—
1687C4—81no—
1688C4—81no—
1689C4—81no—
1690C4—81no—
1691C4—81no—
1692C4—81no—
1693C4—81no—
1694C4#353211yescharacteristic
1695C4#353711yescharacteristic
1696C4#353711yescharacteristic
1697C4#354311yescharacteristic
1698C2—42no—
1699C2—42no—
1700C2—42no—
1701C2—42no—
1702C2—42no—
1703C2—82no—
1704C2—161no—
1705C2—161no—
1706C2—161no—
1707C2#4058411yescharacteristic
1708C2#6075011yescharacteristic
1709C2#6076911yescharacteristic
1710C2#6159411yescharacteristic
1711C2#6159711yescharacteristic
1712C2#6159811yescharacteristic
1713C2#6160011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36097C2semidirect
2. D4×#121C2semidirect
3. #32759C2semidirect
4. #32707C2semidirect
5. #31392C2semidirect
6. #31382C2semidirect
7. #30711C2semidirect
8. #30701C2semidirect
9. #30506C2semidirect
10. #30501C2semidirect
11. #30408C2semidirect
12. #30399C2semidirect
13. #30108C2semidirect
14. #30107C2semidirect
15. #29744C2semidirect
16. #29595C2semidirect
17. #29594C2semidirect
18. #29414C2semidirect
19. #26220C2semidirect
20. #26219C2semidirect
21. #24882C2semidirect
22. #24881C2semidirect
23. #24448C2semidirect
24. #24441C2semidirect
25. #24382C2semidirect
26. #24379C2semidirect
27. #23919C2semidirect
28. #23866C2semidirect
29. #23860C2semidirect
30. #23391C2semidirect
31. #21740C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C2×#548C22semidirect
36. C2×#525C22semidirect
37. C22×C22⋊Q8C22semidirect
41. C2×#481C22semidirect
42. C2×#480C22semidirect
43. C2×#468C22semidirect
44. C2×#466C22semidirect
45. C2×#465C22semidirect
46. C2×#465C22semidirect
47. C2×#465C22semidirect
48. C2×#449C22semidirect
49. C2×#448C22semidirect
50. C2×#448C22semidirect
51. C2×#448C22semidirect
52. C2×#450C22semidirect
53. C2×#450C22semidirect
54. C2×#450C22semidirect
55. C2×#447C22semidirect
56. C2×#417C22semidirect
57. C2×#418C22semidirect
58. C2×#407C22semidirect
59. C22×C22⋊C8C22semidirect
61. #2850C22semidirect
62. #2848C22semidirect
65. #2847C22semidirect
67. #2540C22semidirect
69. #2536C22semidirect
81. #2416C22semidirect
86. #2409C22semidirect
92. #2352C22semidirect
95. C4×C22⋊Q8C22semidirect
97. #2101C22semidirect
98. #2099C22semidirect
99. #2096C22semidirect
100. #2092C22semidirect
101. #2077C22semidirect
102. #2077C22semidirect
103. #2076C22semidirect
104. #2075C22semidirect
105. #2073C22semidirect
106. #2073C22semidirect
107. #2072C22semidirect
108. #2071C22semidirect
109. #2042C22semidirect
110. #2041C22semidirect
111. #2036C22semidirect
112. #2036C22semidirect
113. #2036C22semidirect
114. #2036C22semidirect
115. #2035C22semidirect
117. #2034C22semidirect
118. #2034C22semidirect
119. #2034C22semidirect
120. #2034C22semidirect
121. #2034C22semidirect
122. #2034C22semidirect
123. #2034C22semidirect
124. #2033C22semidirect
125. #2033C22semidirect
126. #2033C22semidirect
127. #2014C22semidirect
128. #2014C22semidirect
129. #2012C22semidirect
130. #2012C22semidirect
131. #2012C22semidirect
132. #2011C22semidirect
135. #2000C22semidirect
136. #2000C22semidirect
137. #2000C22semidirect
138. #2000C22semidirect
139. #2000C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
145. #1999C22semidirect
146. #1999C22semidirect
147. #1999C22semidirect
148. #1999C22semidirect
149. #1999C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1927C22semidirect
154. #1927C22semidirect
155. #1926C22semidirect
156. #1926C22semidirect
157. #1925C22semidirect
158. #1925C22semidirect
159. #1920C22semidirect
160. #1918C22semidirect
161. #1895C22semidirect
162. #1894C22semidirect
163. #1893C22semidirect
164. #1893C22semidirect
165. #1893C22semidirect
166. #1892C22semidirect
167. #1880C22semidirect
168. #1880C22semidirect
169. #1880C22semidirect
170. #1879C22semidirect
171. #1877C22semidirect
172. #1877C22semidirect
173. #1875C22semidirect
174. #1874C22semidirect
175. #1874C22semidirect
176. #1872C22semidirect
177. #1872C22semidirect
178. #1872C22semidirect
181. #1870C22semidirect
182. #1870C22semidirect
183. #1869C22semidirect
184. #1869C22semidirect
185. #1869C22semidirect
186. #1869C22semidirect
187. #1863C22semidirect
188. #1862C22semidirect
189. #1854C22semidirect
190. #1853C22semidirect
191. #1824C22semidirect
192. #1823C22semidirect
193. #1817C22semidirect
194. #1817C22semidirect
195. #1809C22semidirect
196. #1788C22semidirect
197. #1787C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1779C22semidirect
201. #1779C22semidirect
202. #1736C22semidirect
1105. C2×D4AGL(1,ℤ/8)semidirect

Maximal subgroups

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

subgroupindex
#360972
D4×#1212
#327592
#327072
#313922
#313822
#307112
#307012
#305062
#305012
#304082
#303992
#301082
#301072
#297442
#295952
#295942
#294142
#262202
#262192
#248822
#248812
#244482
#244412
#243822
#243792
#239192
#238662
#238602
#233912
#217402