Finite Group Databasebeta

← #6668500

Subgroups — #6668500

Order 512.

2879 conjugacy classes of subgroups.

The subgroup lattice has 1731 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3315C211yesmaximal, characteristic, complemented
2C2×#3006C211yesmaximal, characteristic, complemented
3#39467C211yesmaximal, characteristic, complemented
4#36213C211yesmaximal, characteristic, complemented
5#32883C211yesmaximal, characteristic, complemented
6#31037C211yesmaximal, characteristic, complemented
7#31031C211yesmaximal, characteristic, complemented
8#30548C211yesmaximal, characteristic, complemented
9#30542C211yesmaximal, characteristic, complemented
10#30508C211yesmaximal, characteristic, complemented
11#30502C211yesmaximal, characteristic, complemented
12#30465C211yesmaximal, characteristic, complemented
13#30451C211yesmaximal, characteristic, complemented
14#29743C211yesmaximal, characteristic, complemented
15#29598C211yesmaximal, characteristic, complemented
16#27240C211yesmaximal, characteristic, complemented
17#27232C211yesmaximal, characteristic, complemented
18#25796C211yesmaximal, characteristic, complemented
19#25764C211yesmaximal, characteristic, complemented
20#25762C211yesmaximal, characteristic, complemented
21#25178C211yesmaximal, characteristic, complemented
22#25164C211yesmaximal, characteristic, complemented
23#24489C211yesmaximal, characteristic, complemented
24#24438C211yesmaximal, characteristic, complemented
25#24428C211yesmaximal, characteristic, complemented
26#24373C211yesmaximal, characteristic, complemented
27#24275C211yesmaximal, characteristic, complemented
28#23978C211yesmaximal, characteristic, complemented
29#23864C211yesmaximal, characteristic, complemented
30#22582C211yesmaximal, characteristic, complemented
31#22036C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic
35C2×#552C2211yescharacteristic, complemented
36C2×#547C2211yescharacteristic
37C2×#547C2211yescharacteristic, complemented
38C2×#546C2211yescharacteristic, complemented
39C22×#121C2211yescharacteristic
40#3315—28no—
41C2×#497C2211yescharacteristic, complemented
42C2×#495C2211yescharacteristic, complemented
43C2×#491C2211yescharacteristic, complemented
44C2×#484C2211yescharacteristic, complemented
45C2×#485C2211yescharacteristic, complemented
46C2×#478C2211yescharacteristic, complemented
47C2×#470C2211yescharacteristic, complemented
48C2×#467C2211yescharacteristic, complemented
49C2×#466C2211yescharacteristic, complemented
50C2×#465C2211yescharacteristic, complemented
51C2×#462C2211yescharacteristic, complemented
52C2×#463C2211yescharacteristic, complemented
53C2×#463C2211yescharacteristic, complemented
54#3006—28no—
55C2×#452C2211yescharacteristic
56C2×#452C2211yescharacteristic
57C2×#452C2211yescharacteristic, complemented
58C2×#452C2211yescharacteristic, complemented
59C2×#452C2211yescharacteristic, complemented
60C2×#449C2211yescharacteristic
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic
63C2×#449C2211yescharacteristic
64C2×#449C2211yescharacteristic, complemented
65C2×#449C2211yescharacteristic, complemented
66C2×#451C2211yescharacteristic, complemented
67C2×#448C2211yescharacteristic
68C2×#448C2211yescharacteristic
69C2×#450C2211yescharacteristic, complemented
70C2×#450C2211yescharacteristic, complemented
71C2×#447C2211yescharacteristic
72C2×#447C2211yescharacteristic
73C2×#440C2211yescharacteristic, complemented
74C2×#435C2211yescharacteristic, complemented
75C2×#417C2211yescharacteristic
76C2×#417C2211yescharacteristic
77C2×#416C2211yescharacteristic, complemented
78C2×#407C2211yescharacteristic
79#2849—21no—
80#2848C2211yescharacteristic
81#2848C2211yescharacteristic
82#2714—21no—
83#2714—21no—
84#2711—21no—
85#2711—21no—
86#2613—21no—
87#2540C2211yescharacteristic
88#2540C2211yescharacteristic, complemented
89#2490C2211yescharacteristic
90#2490C2211yescharacteristic, complemented
91#2482—21no—
92#2435C2211yescharacteristic, complemented
93#2434C2211yescharacteristic, complemented
94#2432C2211yescharacteristic
95#2432C2211yescharacteristic, complemented
96#2430—21no—
97#2430—21no—
98#2426C2211yescharacteristic
99#2426C2211yescharacteristic, complemented
100#2414C2211yescharacteristic
101#2414C2211yescharacteristic, complemented
102#2411—21no—
103#2410—21no—
104#2409C2211yescharacteristic, complemented
105#2408C2211yescharacteristic, complemented
106#2407C2211yescharacteristic
107#2407C2211yescharacteristic, complemented
108#2406—21no—
109#2406—21no—
110#2405—21no—
111#2344C2211yescharacteristic, complemented
112#2339C2211yescharacteristic
113#2339C2211yescharacteristic, complemented
114D4×C22⋊C4C2211yescharacteristic, complemented
115#2309—21no—
116C4×#120C2211yescharacteristic
117C2×#385—21no—
118#2077C2211yescharacteristic, complemented
119#2077C2211yescharacteristic, complemented
120#2068C2211yescharacteristic, complemented
121#2067C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2043C2211yescharacteristic, complemented
127#2042C2211yescharacteristic, complemented
128#2036C2211yescharacteristic, complemented
129#2036C2211yescharacteristic, complemented
130#2035C2211yescharacteristic, complemented
131#2035C2211yescharacteristic, complemented
132#2033C2211yescharacteristic
133#2033C2211yescharacteristic
134#2033C2211yescharacteristic, complemented
135#2033C2211yescharacteristic, complemented
136#2026C2211yescharacteristic, complemented
137#2025C2211yescharacteristic, complemented
138#2015C2211yescharacteristic, complemented
139#2015C2211yescharacteristic, complemented
140#2015C2211yescharacteristic, complemented
141#2013C2211yescharacteristic, complemented
142#2013C2211yescharacteristic, complemented
143#2013C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2001C2211yescharacteristic, complemented
147#2001C2211yescharacteristic, complemented
148#2001C2211yescharacteristic, complemented
149#2000C2211yescharacteristic
150#2000C2211yescharacteristic
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#2000C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1981C2211yescharacteristic, complemented
160#1973C2211yescharacteristic, complemented
161#1972C2211yescharacteristic, complemented
162#1972C2211yescharacteristic, complemented
163#1968C2211yescharacteristic, complemented
164#1955C2211yescharacteristic, complemented
165#1954C2211yescharacteristic, complemented
166#1935C2211yescharacteristic, complemented
167#1933C2211yescharacteristic, complemented
168#1928C2211yescharacteristic, complemented
169#1928C2211yescharacteristic, complemented
170#1927C2211yescharacteristic, complemented
171#1925C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1924C2211yescharacteristic, complemented
174#1924C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1894C2211yescharacteristic, complemented
177#1894C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1878C2211yescharacteristic, complemented
184#1875C2211yescharacteristic, complemented
185#1873C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1869C2211yescharacteristic, complemented
188#1869C2211yescharacteristic, complemented
189#1864C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1851C2211yescharacteristic, complemented
192#1824C2211yescharacteristic, complemented
193#1809C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1779C2211yescharacteristic
202#1762C2211yescharacteristic, complemented
203C4×#102C2211yescharacteristic, complemented
204#1753C2211yescharacteristic, complemented
205C22×#41—21no—
206C22×#41—21no—
207C22×#41—24no—
208C22×#41—42no—
209C22×#41—42no—
210C22×#41—42no—
211C22×#41—42no—
212C22×#41—42no—
213C22×#41C2311yescharacteristic
214C22×#41C2311yescharacteristic
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C23×Q8C2311yescharacteristic
219C23×D4—21no—
220C23×D4—21no—
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C24×C4—21no—
224C24×C4C2311yescharacteristic
225C2×AGL(1,ℤ/8)—24no—
226C2×AGL(1,ℤ/8)—24no—
227C2×AGL(1,ℤ/8)—42no—
228C2×AGL(1,ℤ/8)—42no—
229C2×AGL(1,ℤ/8)—42no—
230C2×AGL(1,ℤ/8)—42no—
231C22×Q16C2311yescharacteristic
232C22×Q16C2311yescharacteristic
233C22×Q16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×M16C2311yescharacteristic
247C22×M16C2311yescharacteristic
248C23×C8C2311yescharacteristic
249#552—24no—
250#552—42no—
251#547—24no—
252#547—42no—
253#547—42no—
254#547—42no—
255#546—42no—
256#546—42no—
257C2×C4⋊Q8C2311yescharacteristic
258C2×C4⋊Q8C2311yescharacteristic
259C2×#126—21no—
260C2×#125—21no—
261C2×#125C2311yescharacteristic
262C2×#124C2311yescharacteristic
263C2×#124C2311yescharacteristic
264C2×#124C2311yescharacteristic
265C2×#123—21no—
266C2×#123—21no—
267C2×#123—21no—
268C2×#123—21no—
269C2×#123—21no—
270C2×#123—21no—
271C2×C22⋊Q8C2311yescharacteristic
272C2×C22⋊Q8C2311yescharacteristic
273C2×C22⋊Q8C2311yescharacteristic
274C2×C22⋊Q8C2311yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×C22⋊Q8C2311yescharacteristic
277C2×C22⋊Q8C2311yescharacteristic
278C2×C22⋊Q8C2311yescharacteristic
279C2×C22⋊Q8C2311yescharacteristic
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—24no—
286C2×#121—42no—
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#120—21no—
295C2×#120—21no—
296C2×#120D411yescharacteristic
297C2×C4×Q8C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×#117—21no—
305C2×#117—21no—
306C2×#117C2311yescharacteristic
307C22×C4⋊C4—21no—
308C22×C4⋊C4—21no—
309C22×C4⋊C4C2311yescharacteristic
310C22×C22⋊C4—21no—
311C22×C22⋊C4—21no—
312C22×C22⋊C4—21no—
313#497—42no—
314#495—42no—
315#491—24no—
316#485—24no—
317#484—24no—
318#478—24no—
319#470—24no—
320#467—24no—
321#466—42no—
322#465—42no—
323#463—42no—
324#463—42no—
325#462—24no—
326#452—24no—
327#452—24no—
328#452—42no—
329#452—42no—
330#452—42no—
331#451—42no—
332#450—42no—
333#450—42no—
334#449—24no—
335#449—24no—
336#449—24no—
337#449—24no—
338#449—42no—
339#449—42no—
340#448—24no—
341#448—24no—
342#447—24no—
343#447—24no—
344#440—24no—
345#435—24no—
346C2×#107C2311yescharacteristic
347C2×#107C2311yescharacteristic
348C2×#107C2311yescharacteristic
349C2×#106C2311yescharacteristic
350C2×#106C2311yescharacteristic
351C2×C4⋊C8C2311yescharacteristic
352C2×C4⋊C8C2311yescharacteristic
353C2×C4⋊C8C2311yescharacteristic
354#417—24no—
355#417D418yescomplemented
356#416—24no—
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391#407—24no—
392C2×C22⋊C8C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×#97C2311yescharacteristic
406C2×#97C2311yescharacteristic
407C2×C4×C8C2311yescharacteristic
408#399—21no—
409#399—21no—
410#397—21no—
411#397—21no—
412#396—21no—
413#396—21no—
414#395—21no—
415#395—21no—
416#395—21no—
417#394—21no—
418#394—21no—
419#394—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394—21no—
429#394—21no—
430#394—21no—
431#394—21no—
432#393—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392—21no—
438#392—21no—
439#392—21no—
440#391C2311yescharacteristic
441#391C2311yescharacteristic
442#391C2311yescharacteristic
443#391C2311yescharacteristic
444#390—21no—
445#390—21no—
446#390—21no—
447#390—21no—
448#390—21no—
449#390—21no—
450#390—21no—
451#390—21no—
452#390—21no—
453#390—21no—
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#390C2311yescharacteristic
458#390C2311yescharacteristic
459#390C2311yescharacteristic
460#389C2311yescharacteristic
461#389C2311yescharacteristic
462#388—21no—
463#388—21no—
464#388—21no—
465#388—21no—
466#388—21no—
467#388—21no—
468#387—21no—
469#387—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386D411yescharacteristic
480#386D411yescharacteristic
481#386D411yescharacteristic
482#385—21no—
483#385—21no—
484#385—21no—
485#385—21no—
486#385—21no—
487#385—21no—
488#385—21no—
489#385—21no—
490#385—21no—
491#385—21no—
492#385—21no—
493#385—21no—
494#385—21no—
495#385—21no—
496#385—21no—
497#385D411yescharacteristic
498#385D411yescharacteristic
499#385D411yescharacteristic
500#381—21no—
501#381—21no—
502#381—21no—
503#380C2311yescharacteristic
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#379—21no—
510#379—21no—
511#379—21no—
512#379—21no—
513#379—21no—
514#379—21no—
515#379D411yescharacteristic
516C4×C4⋊C4C2311yescharacteristic
517C4×C4⋊C4C2311yescharacteristic
518C4×C22⋊C4C2311yescharacteristic
519C4×C22⋊C4C2311yescharacteristic
520C4×C22⋊C4C2311yescharacteristic
521C2×#95—21no—
522C2×#95—21no—
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25—21no—
541C25C2×D411yescharacteristic
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—22no—
547C2×#41—22no—
548C2×#41—22no—
549C2×#41—22no—
550C2×#41—22no—
551C2×#41—22no—
552C2×#41—22no—
553C2×#41—22no—
554C2×#41—22no—
555C2×#41—22no—
556C2×#41—22no—
557C2×#41—22no—
558C2×#41—44no—
559C2×#41—41no—
560C2×#41—41no—
561C2×#41—41no—
562C2×#41—41no—
563C2×#41—41no—
564C2×#41—41no—
565C2×#41—41no—
566C2×#41—41no—
567C2×#41—41no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—44no—
573C2×#41—44no—
574C2×#41—44no—
575C2×#41—44no—
576C2×#41—44no—
577C2×#41—416no—
578C2×#41—416no—
579C2×#41—416no—
580C2×#41—416no—
581C2×#41C2×D414yes—
582C22×Q8—21no—
583C22×Q8—22no—
584C22×Q8—22no—
585C22×Q8—41no—
586C22×Q8—41no—
587C22×Q8—41no—
588C22×Q8—41no—
589C22×Q8C2411yescharacteristic
590C22×Q8C2411yescharacteristic
591C22×Q8C2411yescharacteristic
592C22×Q8C2411yescharacteristic
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—22no—
596C22×D4—22no—
597C22×D4—22no—
598C22×D4—22no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—22no—
611C22×D4—21no—
612C22×D4—22no—
613C22×D4—41no—
614C22×D4—41no—
615C22×D4—41no—
616C22×D4—41no—
617C22×D4—41no—
618C22×D4—41no—
619C22×D4—44no—
620C22×D4—44no—
621C22×D4—44no—
622C22×D4—44no—
623C22×D4—44no—
624C22×D4—82no—
625C22×D4C2×D411yescharacteristic
626C22×D4C2×D411yescharacteristic
627C22×D4C2×D411yescharacteristic
628C22×D4C2411yescharacteristic
629C22×D4C2411yescharacteristic
630C22×D4C2411yescharacteristic
631C22×D4C2411yescharacteristic
632C23×C4—21no—
633C23×C4—21no—
634C23×C4—21no—
635C23×C4—22no—
636C23×C4—22no—
637C23×C4—21no—
638C23×C4—21no—
639C23×C4—21no—
640C23×C4—21no—
641C23×C4—21no—
642C23×C4—21no—
643C23×C4—21no—
644C23×C4—41no—
645C23×C4—41no—
646C23×C4—41no—
647C23×C4—41no—
648C23×C4—44no—
649C23×C4—44no—
650C23×C4—44no—
651C23×C4C2×D411yescharacteristic
652C23×C4C2×D411yescharacteristic
653C23×C4C2×D411yescharacteristic
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658AGL(1,ℤ/8)—416no—
659AGL(1,ℤ/8)—416no—
660C2×Q16—22no—
661C2×Q16—22no—
662C2×Q16—22no—
663C2×Q16—41no—
664C2×Q16—41no—
665C2×Q16—41no—
666C2×Q16—41no—
667C2×Q16—41no—
668C2×Q16—41no—
669C2×SD16—22no—
670C2×SD16—22no—
671C2×SD16—22no—
672C2×SD16—22no—
673C2×SD16—22no—
674C2×SD16—22no—
675C2×SD16—22no—
676C2×SD16—22no—
677C2×SD16—22no—
678C2×SD16—22no—
679C2×SD16—41no—
680C2×SD16—41no—
681C2×SD16—41no—
682C2×SD16—41no—
683C2×SD16—41no—
684C2×SD16—41no—
685C2×SD16—41no—
686C2×SD16—41no—
687C2×SD16—41no—
688C2×SD16—41no—
689C2×SD16—41no—
690C2×SD16—41no—
691C2×SD16—41no—
692C2×SD16—41no—
693C2×D8—22no—
694C2×D8—22no—
695C2×D8—22no—
696C2×D8—22no—
697C2×D8—22no—
698C2×D8—22no—
699C2×D8—22no—
700C2×D8—22no—
701C2×D8—22no—
702C2×D8—22no—
703C2×D8—41no—
704C2×D8—41no—
705C2×M16—22no—
706C2×M16—41no—
707C2×M16—41no—
708C2×M16—41no—
709C2×M16—41no—
710C2×M16C2×D414yes—
711C22×C8—22no—
712C22×C8—41no—
713C22×C8—41no—
714C22×C8C2411yescharacteristic
715C22×C8C2411yescharacteristic
716C22×C8C2411yescharacteristic
717C22×C8C2411yescharacteristic
718C22×C8C2411yescharacteristic
719C22×C8C2411yescharacteristic
720C22×C8C2411yescharacteristic
721C22×C8C2411yescharacteristic
722C4⋊Q8—22no—
723C4⋊Q8—22no—
724C4⋊Q8—41no—
725C4⋊Q8—41no—
726#126—44no—
727#125—22no—
728#125—41no—
729#125—44no—
730#124—22no—
731#124—41no—
732#124—41no—
733#124—41no—
734#124—41no—
735#124—41no—
736#123—44no—
737#123—44no—
738#123—44no—
739#123—44no—
740#123—44no—
741#123—44no—
742C22⋊Q8—22no—
743C22⋊Q8—22no—
744C22⋊Q8—22no—
745C22⋊Q8—22no—
746C22⋊Q8—22no—
747C22⋊Q8—22no—
748C22⋊Q8—22no—
749C22⋊Q8—41no—
750C22⋊Q8—41no—
751C22⋊Q8—41no—
752C22⋊Q8—41no—
753C22⋊Q8—41no—
754C22⋊Q8—41no—
755C22⋊Q8—41no—
756C22⋊Q8—41no—
757C22⋊Q8—41no—
758C22⋊Q8—41no—
759C22⋊Q8—41no—
760#121—22no—
761#121—22no—
762#121—22no—
763#121—22no—
764#121—22no—
765#121—41no—
766#121—41no—
767#121—41no—
768#121—41no—
769#121—41no—
770#121—44no—
771#121—44no—
772#121—44no—
773#121—44no—
774#121—44no—
775#121—41no—
776#121—41no—
777#121—41no—
778#121—41no—
779#120—42no—
780#120—44no—
781#120—82no—
782C4×Q8—22no—
783C4×Q8—41no—
784C4×D4—22no—
785C4×D4—22no—
786C4×D4—22no—
787C4×D4—22no—
788C4×D4—22no—
789C4×D4—41no—
790C4×D4—41no—
791C4×D4—41no—
792C4×D4—41no—
793C4×D4—41no—
794C4×D4—41no—
795C4×D4—41no—
796#117—22no—
797#117—44no—
798#117—41no—
799#117—82no—
800C2×C4⋊C4—21no—
801C2×C4⋊C4—22no—
802C2×C4⋊C4—21no—
803C2×C4⋊C4—21no—
804C2×C4⋊C4—21no—
805C2×C4⋊C4—21no—
806C2×C4⋊C4—21no—
807C2×C4⋊C4—21no—
808C2×C4⋊C4—21no—
809C2×C4⋊C4—21no—
810C2×C4⋊C4—21no—
811C2×C4⋊C4—21no—
812C2×C4⋊C4—21no—
813C2×C4⋊C4—21no—
814C2×C4⋊C4—21no—
815C2×C4⋊C4—21no—
816C2×C4⋊C4—21no—
817C2×C4⋊C4—21no—
818C2×C4⋊C4—21no—
819C2×C4⋊C4—21no—
820C2×C4⋊C4—44no—
821C2×C4⋊C4—44no—
822C2×C4⋊C4C2×D411yescharacteristic
823C2×C4⋊C4C2×D414yes—
824C2×C4⋊C4C2×D411yescharacteristic
825C2×C4⋊C4C2×D411yescharacteristic
826C2×C4⋊C4C2411yescharacteristic
827C2×C4⋊C4C2411yescharacteristic
828C2×C4⋊C4C2411yescharacteristic
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2411yescharacteristic
831C2×C4⋊C4C2411yescharacteristic
832C2×C4⋊C4C2411yescharacteristic
833C2×C4⋊C4C2411yescharacteristic
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—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—44no—
879C2×C22⋊C4—44no—
880C2×C22⋊C4—44no—
881C2×C22⋊C4C2×D411yescharacteristic
882C2×C22⋊C4C2×D411yescharacteristic
883C2×C22⋊C4C2×D411yescharacteristic
884C2×C22⋊C4C2×D411yescharacteristic
885C2×C22⋊C4C2×D411yescharacteristic
886C2×C22⋊C4C2×D411yescharacteristic
887C2×C22⋊C4C2×D411yescharacteristic
888C2×C22⋊C4C2×D411yescharacteristic
889C2×C22⋊C4C2×D411yescharacteristic
890C2×C22⋊C4C2×D411yescharacteristic
891C2×C22⋊C4C2×D411yescharacteristic
892C2×C22⋊C4C2×D411yescharacteristic
893C2×C42—21no—
894C2×C42—21no—
895C2×C42—21no—
896C2×C42—21no—
897C2×C42C2411yescharacteristic
898C2×C42C2411yescharacteristic
899C2×C42C2411yescharacteristic
900#107—22no—
901#107—22no—
902#107—41no—
903#106—22no—
904#106—41no—
905C4⋊C8—22no—
906C4⋊C8—41no—
907C4⋊C8—41no—
908#103—22no—
909#103—22no—
910#103—22no—
911#103—22no—
912#103—22no—
913#103—22no—
914#103—22no—
915#103—22no—
916#103—41no—
917#103—41no—
918#103—41no—
919#103—41no—
920#103—41no—
921#103—41no—
922#103—41no—
923#103—41no—
924#103C2×D414yes—
925#103C2×D414yes—
926#102—22no—
927#102—22no—
928#102—22no—
929#102—22no—
930#102—22no—
931#102—22no—
932#102—41no—
933#102—41no—
934#102—41no—
935#102—41no—
936#102—41no—
937#102—41no—
938#102—41no—
939#102—41no—
940#102C2×D414yes—
941#102C2×D414yes—
942C22⋊C8—22no—
943C22⋊C8—22no—
944C22⋊C8—22no—
945C22⋊C8—22no—
946C22⋊C8—22no—
947C22⋊C8—22no—
948C22⋊C8—22no—
949C22⋊C8—41no—
950C22⋊C8—41no—
951C22⋊C8—41no—
952C22⋊C8—41no—
953C22⋊C8—41no—
954C22⋊C8—41no—
955#97—22no—
956#97—41no—
957C4×C8—41no—
958#95—21no—
959#95—21no—
960#95—21no—
961#95—21no—
962#95—21no—
963#95—21no—
964#95—21no—
965#95—21no—
966#95—21no—
967#95—21no—
968#95—21no—
969#95—21no—
970#95—21no—
971#95—21no—
972#95—21no—
973#95—21no—
974#95—21no—
975#95—21no—
976#95C2×D411yescharacteristic
977#95C2×D411yescharacteristic
978#95C2×D411yescharacteristic
979#95C2×D411yescharacteristic
980#95C2×D411yescharacteristic
981#95C2×D411yescharacteristic
982C24—21no—
983C24—24no—
984C24—21no—
985C24—22no—
986C24—22no—
987C24—21no—
988C24—21no—
989C24—41no—
990C24—41no—
991C24—41no—
992C24—41no—
993C24—41no—
994C24—42no—
995C24—42no—
996C24—42no—
997C24—42no—
998C24—42no—
999C24—42no—
1000C24—42no—
1001C24—81no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24—81no—
1006C24—81no—
1007C24C22×D411yescharacteristic
1008C24C22×D411yescharacteristic
1009C24C22×D411yescharacteristic
1010C24C22×D411yescharacteristic
1011#41—28no—
1012#41—28no—
1013#41—44no—
1014#41—44no—
1015#41—44no—
1016#41—44no—
1017#41—44no—
1018#41—44no—
1019#41—44no—
1020#41—44no—
1021#41—44no—
1022#41—44no—
1023#41—44no—
1024#41—44no—
1025#41—432no—
1026#41—432no—
1027#41—44no—
1028#41—44no—
1029#41—44no—
1030#41—82no—
1031#41—82no—
1032#41—82no—
1033C2×Q8—21no—
1034C2×Q8—21no—
1035C2×Q8—21no—
1036C2×Q8—21no—
1037C2×Q8—21no—
1038C2×Q8—21no—
1039C2×Q8—21no—
1040C2×Q8—21no—
1041C2×Q8—21no—
1042C2×Q8—21no—
1043C2×Q8—21no—
1044C2×Q8—21no—
1045C2×Q8—21no—
1046C2×Q8—21no—
1047C2×Q8—21no—
1048C2×Q8—21no—
1049C2×Q8—21no—
1050C2×Q8—21no—
1051C2×Q8—21no—
1052C2×Q8—21no—
1053C2×Q8—21no—
1054C2×Q8—21no—
1055C2×Q8—42no—
1056C2×Q8—42no—
1057C2×Q8—42no—
1058C2×Q8—44no—
1059C2×Q8—44no—
1060C2×Q8—44no—
1061C2×Q8—44no—
1062C2×Q8C22×D412yes—
1063C2×Q8H(5,𝔽2)12yes—
1064C2×D4—24no—
1065C2×D4—24no—
1066C2×D4—24no—
1067C2×D4—22no—
1068C2×D4—22no—
1069C2×D4—21no—
1070C2×D4—21no—
1071C2×D4—21no—
1072C2×D4—21no—
1073C2×D4—21no—
1074C2×D4—21no—
1075C2×D4—21no—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—21no—
1085C2×D4—21no—
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—42no—
1090C2×D4—42no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—432no—
1117C2×D4—42no—
1118C2×D4—44no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—82no—
1129C2×D4—82no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—816no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—81no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4C22×D412yes—
1146C2×D4H(5,𝔽2)12yes—
1147C2×D4H(5,𝔽2)12yes—
1148C2×D4H(5,𝔽2)12yes—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—24no—
1154C22×C4—22no—
1155C22×C4—24no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—24no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—432no—
1222C22×C4—42no—
1223C22×C4—81no—
1224C22×C4—81no—
1225C22×C4—81no—
1226C22×C4—81no—
1227C22×C4C22×D411yescharacteristic
1228C22×C4C22×D411yescharacteristic
1229C22×C4C22×D411yescharacteristic
1230C22×C4C22×D411yescharacteristic
1231C22×C4C22×D411yescharacteristic
1232C22×C4C22×D411yescharacteristic
1233C22×C4C22×D411yescharacteristic
1234C22×C4C22×D411yescharacteristic
1235C22×C4C22×D411yescharacteristic
1236C22×C4C22×D411yescharacteristic
1237C22×C4C22×D412yes—
1238C22×C4H(5,𝔽2)12yes—
1239C22×C4C2511yescharacteristic
1240Q16—82no—
1241Q16—82no—
1242Q16—82no—
1243SD16—44no—
1244SD16—44no—
1245SD16—44no—
1246SD16—44no—
1247SD16—44no—
1248SD16—82no—
1249SD16—82no—
1250SD16—82no—
1251D8—44no—
1252D8—44no—
1253D8—44no—
1254D8—44no—
1255M16—44no—
1256M16—44no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—21no—
1263C2×C8—21no—
1264C2×C8—21no—
1265C2×C8—21no—
1266C2×C8—21no—
1267C2×C8—21no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8—21no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—21no—
1278C2×C8—21no—
1279C2×C8—82no—
1280C2×C8C22×D412yes—
1281C2×C8C22×D412yes—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
1290C4⋊C4—21no—
1291C4⋊C4—21no—
1292C4⋊C4—21no—
1293C4⋊C4—21no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—21no—
1297C4⋊C4—21no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—81no—
1315C4⋊C4—81no—
1316C4⋊C4—81no—
1317C4⋊C4—81no—
1318C4⋊C4C22×D412yes—
1319C4⋊C4C22×D412yes—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—81no—
1355C22⋊C4—81no—
1356C22⋊C4—81no—
1357C22⋊C4—81no—
1358C22⋊C4—81no—
1359C22⋊C4—81no—
1360C22⋊C4—81no—
1361C22⋊C4—81no—
1362C22⋊C4—81no—
1363C22⋊C4—81no—
1364C22⋊C4—81no—
1365C22⋊C4—81no—
1366C22⋊C4—81no—
1367C22⋊C4—81no—
1368C22⋊C4—81no—
1369C22⋊C4—81no—
1370C22⋊C4—81no—
1371C22⋊C4—81no—
1372C22⋊C4—81no—
1373C22⋊C4—81no—
1374C22⋊C4—81no—
1375C22⋊C4—81no—
1376C42—21no—
1377C42—21no—
1378C42—21no—
1379C42—21no—
1380C42—21no—
1381C42—21no—
1382C42—42no—
1383C42—42no—
1384C42—81no—
1385C42—81no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—22no—
1393C23—21no—
1394C23—21no—
1395C23—22no—
1396C23—22no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—22no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—44no—
1417C23—44no—
1418C23—48no—
1419C23—48no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—82no—
1445C23—82no—
1446C23—82no—
1447C23—84no—
1448C23—84no—
1449C23—84no—
1450C23—84no—
1451C23—84no—
1452C23—84no—
1453C23—82no—
1454C23—82no—
1455C23—84no—
1456C23—84no—
1457C23—162no—
1458C23—162no—
1459C23—162no—
1460C23—162no—
1461C23D4212yes—
1462C23#57512yes—
1463C23C23×D411yescharacteristic
1464Q8—22no—
1465Q8—22no—
1466Q8—22no—
1467Q8—22no—
1468Q8—48no—
1469Q8—41no—
1470Q8—41no—
1471Q8—41no—
1472Q8—41no—
1473Q8—41no—
1474Q8—41no—
1475Q8—41no—
1476Q8—41no—
1477Q8—41no—
1478Q8—41no—
1479Q8—41no—
1480Q8—41no—
1481D4—22no—
1482D4—22no—
1483D4—22no—
1484D4—22no—
1485D4—22no—
1486D4—48no—
1487D4—48no—
1488D4—48no—
1489D4—48no—
1490D4—48no—
1491D4—41no—
1492D4—41no—
1493D4—41no—
1494D4—41no—
1495D4—41no—
1496D4—41no—
1497D4—41no—
1498D4—41no—
1499D4—41no—
1500D4—41no—
1501D4—84no—
1502D4—82no—
1503D4—82no—
1504D4—84no—
1505D4—84no—
1506D4—82no—
1507D4—84no—
1508D4—84no—
1509D4—84no—
1510D4—162no—
1511D4—162no—
1512D4—162no—
1513D4#53514yes—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—48no—
1552C2×C4—44no—
1553C2×C4—44no—
1554C2×C4—48no—
1555C2×C4—44no—
1556C2×C4—48no—
1557C2×C4—48no—
1558C2×C4—48no—
1559C2×C4—48no—
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—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—84no—
1605C2×C4—84no—
1606C2×C4—84no—
1607C2×C4—162no—
1608C2×C4D4212yes—
1609C2×C4C23×D411yescharacteristic
1610C2×C4C2×H(5,𝔽2)11yescharacteristic
1611C2×C4C2×H(5,𝔽2)11yescharacteristic
1612C2×C4C2×H(5,𝔽2)11yescharacteristic
1613C2×C4C2×H(5,𝔽2)11yescharacteristic
1614C2×C4C2×H(5,𝔽2)11yescharacteristic
1615C8—22no—
1616C8—22no—
1617C8—41no—
1618C8—41no—
1619C8—41no—
1620C8—41no—
1621C8—41no—
1622C8—41no—
1623C22—22no—
1624C22—24no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—41no—
1631C22—41no—
1632C22—42no—
1633C22—42no—
1634C22—41no—
1635C22—42no—
1636C22—42no—
1637C22—41no—
1638C22—42no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—42no—
1644C22—42no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—42no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—42no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—88no—
1662C22—816no—
1663C22—81no—
1664C22—81no—
1665C22—81no—
1666C22—81no—
1667C22—81no—
1668C22—81no—
1669C22—81no—
1670C22—81no—
1671C22—81no—
1672C22—81no—
1673C22—81no—
1674C22—81no—
1675C22—81no—
1676C22—81no—
1677C22—81no—
1678C22—81no—
1679C22—81no—
1680C22—81no—
1681C22—168no—
1682C22C2×D4211yescharacteristic
1683C22#348411yescharacteristic
1684C22#348411yescharacteristic
1685C22C2×#57511yescharacteristic
1686C22#358411yescharacteristic
1687C22#358511yescharacteristic
1688C22#358611yescharacteristic
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—42no—
1694C4—42no—
1695C4—41no—
1696C4—41no—
1697C4—42no—
1698C4—42no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—81no—
1704C4—81no—
1705C4—81no—
1706C4—81no—
1707C4—81no—
1708C4—81no—
1709C4—81no—
1710C4—81no—
1711C4C2×#53511yescharacteristic
1712C4#348411yescharacteristic
1713C4#353211yescharacteristic
1714C4#353211yescharacteristic
1715C2—42no—
1716C2—42no—
1717C2—44no—
1718C2—81no—
1719C2—81no—
1720C2—82no—
1721C2—161no—
1722C2—161no—
1723C2#3764511yescharacteristic
1724C2#6106611yescharacteristic
1725C2#6107811yescharacteristic
1726C2#6157511yescharacteristic
1727C2#6160611yescharacteristic
1728C2#6161411yescharacteristic
1729C2#6165611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3315C2semidirect
2. C2×#3006C2semidirect
3. #39467C2semidirect
4. #36213C2semidirect
5. #32883C2semidirect
6. #31037C2semidirect
7. #31031C2semidirect
8. #30548C2semidirect
9. #30542C2semidirect
10. #30508C2semidirect
11. #30502C2semidirect
12. #30465C2semidirect
13. #30451C2semidirect
14. #29743C2semidirect
15. #29598C2semidirect
16. #27240C2semidirect
17. #27232C2semidirect
18. #25796C2semidirect
19. #25764C2semidirect
20. #25762C2semidirect
21. #25178C2semidirect
22. #25164C2semidirect
23. #24489C2semidirect
24. #24438C2semidirect
25. #24428C2semidirect
26. #24373C2semidirect
27. #24275C2semidirect
28. #23978C2semidirect
29. #23864C2semidirect
30. #22582C2semidirect
31. #22036C2semidirect
35. C2×#552C22semidirect
37. C2×#547C22semidirect
38. C2×#546C22semidirect
41. C2×#497C22semidirect
42. C2×#495C22semidirect
43. C2×#491C22semidirect
44. C2×#484C22semidirect
45. C2×#485C22semidirect
46. C2×#478C22semidirect
47. C2×#470C22semidirect
48. C2×#467C22semidirect
49. C2×#466C22semidirect
50. C2×#465C22semidirect
51. C2×#462C22semidirect
52. C2×#463C22semidirect
53. C2×#463C22semidirect
57. C2×#452C22semidirect
58. C2×#452C22semidirect
59. C2×#452C22semidirect
64. C2×#449C22semidirect
65. C2×#449C22semidirect
66. C2×#451C22semidirect
69. C2×#450C22semidirect
70. C2×#450C22semidirect
73. C2×#440C22semidirect
74. C2×#435C22semidirect
77. C2×#416C22semidirect
88. #2540C22semidirect
90. #2490C22semidirect
92. #2435C22semidirect
93. #2434C22semidirect
95. #2432C22semidirect
99. #2426C22semidirect
101. #2414C22semidirect
104. #2409C22semidirect
105. #2408C22semidirect
107. #2407C22semidirect
111. #2344C22semidirect
113. #2339C22semidirect
114. D4×C22⋊C4C22semidirect
118. #2077C22semidirect
119. #2077C22semidirect
120. #2068C22semidirect
121. #2067C22semidirect
122. #2055C22semidirect
123. #2055C22semidirect
124. #2055C22semidirect
125. #2054C22semidirect
126. #2043C22semidirect
127. #2042C22semidirect
128. #2036C22semidirect
129. #2036C22semidirect
130. #2035C22semidirect
131. #2035C22semidirect
134. #2033C22semidirect
135. #2033C22semidirect
136. #2026C22semidirect
137. #2025C22semidirect
138. #2015C22semidirect
139. #2015C22semidirect
140. #2015C22semidirect
141. #2013C22semidirect
142. #2013C22semidirect
143. #2013C22semidirect
144. #2012C22semidirect
145. #2012C22semidirect
146. #2001C22semidirect
147. #2001C22semidirect
148. #2001C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
156. #2000C22semidirect
157. #1999C22semidirect
158. #1983C22semidirect
159. #1981C22semidirect
160. #1973C22semidirect
161. #1972C22semidirect
162. #1972C22semidirect
163. #1968C22semidirect
164. #1955C22semidirect
165. #1954C22semidirect
166. #1935C22semidirect
167. #1933C22semidirect
168. #1928C22semidirect
169. #1928C22semidirect
170. #1927C22semidirect
171. #1925C22semidirect
172. #1924C22semidirect
173. #1924C22semidirect
174. #1924C22semidirect
175. #1923C22semidirect
176. #1894C22semidirect
177. #1894C22semidirect
178. #1880C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1879C22semidirect
183. #1878C22semidirect
184. #1875C22semidirect
185. #1873C22semidirect
186. #1870C22semidirect
187. #1869C22semidirect
188. #1869C22semidirect
189. #1864C22semidirect
190. #1862C22semidirect
191. #1851C22semidirect
192. #1824C22semidirect
193. #1809C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1787C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
202. #1762C22semidirect
203. C4×#102C22semidirect
204. #1753C22semidirect
355. #417D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33152
C2×#30062
#394672
#362132
#328832
#310372
#310312
#305482
#305422
#305082
#305022
#304652
#304512
#297432
#295982
#272402
#272322
#257962
#257642
#257622
#251782
#251642
#244892
#244382
#244282
#243732
#242752
#239782
#238642
#225822
#220362