Finite Group Databasebeta

← #6667852

Subgroups — #6667852

Order 512.

2941 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3267C211yesmaximal, characteristic, complemented
2C2×#3006C211yesmaximal, characteristic, complemented
3#39466C211yesmaximal, characteristic, complemented
4#36213C211yesmaximal, characteristic, complemented
5#32883C211yesmaximal, characteristic, complemented
6#31066C211yesmaximal, characteristic, complemented
7#31061C211yesmaximal, characteristic, complemented
8#31002C211yesmaximal, characteristic, complemented
9#30993C211yesmaximal, characteristic, complemented
10#30470C211yesmaximal, characteristic, complemented
11#30469C211yesmaximal, characteristic, complemented
12#30403C211yesmaximal, characteristic, complemented
13#30397C211yesmaximal, characteristic, complemented
14#29743C211yesmaximal, characteristic, complemented
15#29598C211yesmaximal, characteristic, complemented
16#28356C211yesmaximal, characteristic, complemented
17#28101C211yesmaximal, characteristic, complemented
18#25172C211yesmaximal, characteristic, complemented
19#25150C211yesmaximal, characteristic, complemented
20#24915C211yesmaximal, characteristic, complemented
21#24909C211yesmaximal, characteristic, complemented
22#24545C211yesmaximal, characteristic, complemented
23#24367C211yesmaximal, characteristic, complemented
24#24249C211yesmaximal, characteristic, complemented
25#24245C211yesmaximal, characteristic, complemented
26#24054C211yesmaximal, characteristic, complemented
27#23863C211yesmaximal, characteristic, complemented
28#23853C211yesmaximal, characteristic, complemented
29#23850C211yesmaximal, characteristic, complemented
30#22442C211yesmaximal, characteristic, complemented
31#22036C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic
35C22×#135C2211yescharacteristic, complemented
36C2×#547C2211yescharacteristic
37C2×#547C2211yescharacteristic, complemented
38C2×#546C2211yescharacteristic, complemented
39C2×#546C2211yescharacteristic, complemented
40C22×#121C2211yescharacteristic
41#3267—28no—
42C2×#497C2211yescharacteristic, complemented
43C2×#484C2211yescharacteristic, complemented
44C2×#470C2211yescharacteristic, complemented
45C2×#465C2211yescharacteristic, complemented
46C2×#463C2211yescharacteristic, complemented
47C2×#463C2211yescharacteristic, complemented
48C2×#461C2211yescharacteristic, complemented
49C2×#461C2211yescharacteristic, complemented
50#3006—28no—
51C2×#452C2211yescharacteristic
52C2×#452C2211yescharacteristic
53C2×#452C2211yescharacteristic, complemented
54C2×#452C2211yescharacteristic, complemented
55C2×#452C2211yescharacteristic, complemented
56C2×#452C2211yescharacteristic, complemented
57C2×#449C2211yescharacteristic
58C2×#449C2211yescharacteristic
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic
61C2×#449C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic, complemented
63C2×#451C2211yescharacteristic, complemented
64C2×#448C2211yescharacteristic
65C2×#448C2211yescharacteristic
66C2×#450C2211yescharacteristic, complemented
67C2×#450C2211yescharacteristic, complemented
68C2×#447C2211yescharacteristic
69C2×#447C2211yescharacteristic
70C2×#442C2211yescharacteristic, complemented
71C2×#442C2211yescharacteristic, complemented
72C2×C4×D8C2211yescharacteristic, complemented
73C2×#435C2211yescharacteristic, complemented
74C2×#417C2211yescharacteristic
75C2×#417C2211yescharacteristic
76C2×#407C2211yescharacteristic
77#2849—21no—
78#2848C2211yescharacteristic
79#2848C2211yescharacteristic
80#2708—21no—
81#2708—21no—
82#2688—21no—
83#2688—21no—
84#2613—21no—
85#2535C2211yescharacteristic
86#2535C2211yescharacteristic, complemented
87#2503C2211yescharacteristic, complemented
88#2486C2211yescharacteristic, complemented
89#2483—21no—
90#2434C2211yescharacteristic, complemented
91#2432C2211yescharacteristic
92#2432C2211yescharacteristic, complemented
93#2430—21no—
94#2430—21no—
95#2427C2211yescharacteristic
96#2427C2211yescharacteristic, complemented
97#2420C2211yescharacteristic
98#2420C2211yescharacteristic, complemented
99#2412—21no—
100#2410—21no—
101#2409C2211yescharacteristic, complemented
102#2407C2211yescharacteristic
103#2407C2211yescharacteristic
104#2407C2211yescharacteristic, complemented
105#2407C2211yescharacteristic, complemented
106#2406—21no—
107#2406—21no—
108#2405—21no—
109#2339C2211yescharacteristic
110#2339C2211yescharacteristic, complemented
111D4×C22⋊C4C2211yescharacteristic, complemented
112D4×C22⋊C4C2211yescharacteristic, complemented
113#2308—21no—
114C4×#120C2211yescharacteristic
115C2×#385—21no—
116#2097C2211yescharacteristic, complemented
117#2092C2211yescharacteristic, complemented
118#2077C2211yescharacteristic, complemented
119#2077C2211yescharacteristic, complemented
120#2074C2211yescharacteristic, complemented
121#2074C2211yescharacteristic, complemented
122#2068C2211yescharacteristic, complemented
123#2065C2211yescharacteristic, complemented
124#2056C2211yescharacteristic, complemented
125#2056C2211yescharacteristic, complemented
126#2055C2211yescharacteristic, complemented
127#2054C2211yescharacteristic, complemented
128#2043C2211yescharacteristic, complemented
129#2043C2211yescharacteristic, complemented
130#2036C2211yescharacteristic, complemented
131#2036C2211yescharacteristic, complemented
132#2036C2211yescharacteristic, complemented
133#2036C2211yescharacteristic, complemented
134#2035C2211yescharacteristic, complemented
135#2035C2211yescharacteristic, complemented
136#2035C2211yescharacteristic, complemented
137#2033C2211yescharacteristic
138#2033C2211yescharacteristic
139#2033C2211yescharacteristic, complemented
140#2033C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2016C2211yescharacteristic, complemented
143#2015C2211yescharacteristic, complemented
144#2015C2211yescharacteristic, complemented
145#2013C2211yescharacteristic, complemented
146#2012C2211yescharacteristic, complemented
147#2012C2211yescharacteristic, complemented
148#2001C2211yescharacteristic, complemented
149#2001C2211yescharacteristic, complemented
150#2000C2211yescharacteristic
151#2000C2211yescharacteristic
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1973C2211yescharacteristic, complemented
157#1973C2211yescharacteristic, complemented
158#1969C2211yescharacteristic, complemented
159#1968C2211yescharacteristic, complemented
160#1960C2211yescharacteristic, complemented
161#1958C2211yescharacteristic, complemented
162#1955C2211yescharacteristic, complemented
163#1954C2211yescharacteristic, complemented
164#1936C2211yescharacteristic, complemented
165#1935C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1924C2211yescharacteristic, complemented
168#1924C2211yescharacteristic, complemented
169#1923C2211yescharacteristic, complemented
170#1894C2211yescharacteristic, complemented
171#1894C2211yescharacteristic, complemented
172#1893C2211yescharacteristic, complemented
173#1892C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1877C2211yescharacteristic, complemented
180#1877C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1869C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1862C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1851C2211yescharacteristic, complemented
190#1824C2211yescharacteristic, complemented
191#1809C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1804C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1787C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1779C2211yescharacteristic
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
218C22×#41C2311yescharacteristic
219C23×Q8C2311yescharacteristic
220C23×D4—21no—
221C23×D4—21no—
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C24×C4—21no—
225C24×C4C2311yescharacteristic
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—
231C2×AGL(1,ℤ/8)D418yescomplemented
232C2×#135—24no—
233C2×#135—42no—
234C2×#135—42no—
235C22×Q16C2311yescharacteristic
236C22×Q16C2311yescharacteristic
237C22×Q16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×SD16C2311yescharacteristic
245C22×SD16C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×D8C2311yescharacteristic
250C22×M16C2311yescharacteristic
251C22×M16C2311yescharacteristic
252C23×C8C2311yescharacteristic
253#547—24no—
254#547—42no—
255#547—42no—
256#547—42no—
257#546—24no—
258#546—42no—
259#546—42no—
260#546—42no—
261C2×C4⋊Q8C2311yescharacteristic
262C2×C4⋊Q8C2311yescharacteristic
263C2×#124C2311yescharacteristic
264C2×#124C2311yescharacteristic
265C2×#123—21no—
266C2×#123—21no—
267C2×#123—21no—
268C2×#123—21no—
269C2×#123—21no—
270C2×#123—21no—
271C2×#123—21no—
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—21no—
286C2×#121—24no—
287C2×#121—42no—
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#120—21no—
295C2×#120—21no—
296C2×#120D411yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C22×C4⋊C4—21no—
307C22×C4⋊C4—21no—
308C22×C4⋊C4C2311yescharacteristic
309C22×C22⋊C4—21no—
310C22×C22⋊C4—21no—
311C22×C22⋊C4—21no—
312C22×C22⋊C4—21no—
313C22×C22⋊C4—21no—
314#497—24no—
315#484—42no—
316#470—24no—
317#465—24no—
318#463—24no—
319#463—42no—
320#461—24no—
321#461—42no—
322#452—24no—
323#452—24no—
324#452—42no—
325#452—42no—
326#452—42no—
327#452—42no—
328#451—42no—
329#450—24no—
330#450—42no—
331#449—24no—
332#449—24no—
333#449—24no—
334#449—24no—
335#449—24no—
336#449—42no—
337#448—24no—
338#448—24no—
339#447—24no—
340#447—24no—
341#442—24no—
342#442—42no—
343C4×D8—42no—
344#435—24no—
345C2×#107C2311yescharacteristic
346C2×#107C2311yescharacteristic
347C2×#107C2311yescharacteristic
348C2×#106C2311yescharacteristic
349C2×#106C2311yescharacteristic
350C2×C4⋊C8C2311yescharacteristic
351C2×C4⋊C8C2311yescharacteristic
352C2×C4⋊C8C2311yescharacteristic
353#417—24no—
354#417—24no—
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
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
389#407—24no—
390C2×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
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×#97C2311yescharacteristic
404C2×#97C2311yescharacteristic
405C2×C4×C8C2311yescharacteristic
406#400—21no—
407#400—21no—
408#398—21no—
409#397—21no—
410#397—21no—
411#397—21no—
412#397—21no—
413#397—21no—
414#397—21no—
415#397—21no—
416#395—21no—
417#395—21no—
418#395—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#393—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392—21no—
438#391C2311yescharacteristic
439#391C2311yescharacteristic
440#391C2311yescharacteristic
441#391C2311yescharacteristic
442#391C2311yescharacteristic
443#391C2311yescharacteristic
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#389C2311yescharacteristic
449#389C2311yescharacteristic
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#386—21no—
460#386—21no—
461#386—21no—
462#386—21no—
463#386—21no—
464#386—21no—
465#386—21no—
466#386—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386D411yescharacteristic
472#386D411yescharacteristic
473#386D411yescharacteristic
474#385—21no—
475#385—21no—
476#385—21no—
477#385—21no—
478#385—21no—
479#385—21no—
480#385—21no—
481#385—21no—
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#385D411yescharacteristic
492#385D411yescharacteristic
493#385D411yescharacteristic
494#382C2311yescharacteristic
495#382C2311yescharacteristic
496#381—21no—
497#381—21no—
498#381—21no—
499#381—21no—
500#381—21no—
501#381—21no—
502#381—21no—
503#380—21no—
504#380—21no—
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#380C2311yescharacteristic
513#379—21no—
514#379—21no—
515#379—21no—
516#379—21no—
517#379D411yescharacteristic
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—22no—
559C2×#41—44no—
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—41no—
573C2×#41—41no—
574C2×#41—44no—
575C2×#41—44no—
576C2×#41—41no—
577C2×#41—41no—
578C2×#41—41no—
579C2×#41—41no—
580C2×#41—44no—
581C2×#41—44no—
582C2×#41—44no—
583C2×#41—416no—
584C2×#41—416no—
585C2×#41—416no—
586C2×#41—416no—
587C2×#41C2×D414yes—
588C22×Q8—21no—
589C22×Q8—22no—
590C22×Q8—22no—
591C22×Q8—41no—
592C22×Q8—41no—
593C22×Q8—41no—
594C22×Q8—41no—
595C22×Q8C2411yescharacteristic
596C22×Q8C2411yescharacteristic
597C22×Q8C2411yescharacteristic
598C22×Q8C2411yescharacteristic
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—22no—
602C22×D4—22no—
603C22×D4—22no—
604C22×D4—22no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—21no—
617C22×D4—22no—
618C22×D4—41no—
619C22×D4—41no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—44no—
625C22×D4—44no—
626C22×D4—44no—
627C22×D4—44no—
628C22×D4—44no—
629C22×D4—82no—
630C22×D4C2×D411yescharacteristic
631C22×D4C2×D411yescharacteristic
632C22×D4C2×D414yes—
633C22×D4C2×D411yescharacteristic
634C22×D4C2411yescharacteristic
635C22×D4C2411yescharacteristic
636C22×D4C2411yescharacteristic
637C22×D4C2411yescharacteristic
638C23×C4—21no—
639C23×C4—21no—
640C23×C4—22no—
641C23×C4—22no—
642C23×C4—21no—
643C23×C4—21no—
644C23×C4—21no—
645C23×C4—21no—
646C23×C4—21no—
647C23×C4—21no—
648C23×C4—21no—
649C23×C4—21no—
650C23×C4—21no—
651C23×C4—21no—
652C23×C4—21no—
653C23×C4—21no—
654C23×C4—41no—
655C23×C4—41no—
656C23×C4—41no—
657C23×C4—41no—
658C23×C4—44no—
659C23×C4—44no—
660C23×C4—44no—
661C23×C4C2×D411yescharacteristic
662C23×C4C2×D411yescharacteristic
663C23×C4C2×D411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668AGL(1,ℤ/8)—416no—
669AGL(1,ℤ/8)—416no—
670#135—416no—
671C2×Q16—22no—
672C2×Q16—22no—
673C2×Q16—22no—
674C2×Q16—41no—
675C2×Q16—41no—
676C2×Q16—41no—
677C2×Q16—41no—
678C2×Q16—41no—
679C2×Q16—41no—
680C2×SD16—22no—
681C2×SD16—22no—
682C2×SD16—22no—
683C2×SD16—22no—
684C2×SD16—22no—
685C2×SD16—22no—
686C2×SD16—22no—
687C2×SD16—22no—
688C2×SD16—22no—
689C2×SD16—22no—
690C2×SD16—41no—
691C2×SD16—41no—
692C2×SD16—41no—
693C2×SD16—41no—
694C2×SD16—41no—
695C2×SD16—41no—
696C2×SD16—41no—
697C2×SD16—41no—
698C2×SD16—41no—
699C2×SD16—41no—
700C2×SD16—41no—
701C2×SD16—41no—
702C2×SD16C2×D414yes—
703C2×SD16C2×D414yes—
704C2×D8—22no—
705C2×D8—22no—
706C2×D8—22no—
707C2×D8—22no—
708C2×D8—22no—
709C2×D8—22no—
710C2×D8—22no—
711C2×D8—22no—
712C2×D8—41no—
713C2×D8—41no—
714C2×D8C2×D414yes—
715C2×D8C2×D414yes—
716C2×M16—22no—
717C2×M16—41no—
718C2×M16—41no—
719C2×M16—41no—
720C2×M16—41no—
721C2×M16C2×D414yes—
722C22×C8—22no—
723C22×C8—41no—
724C22×C8—41no—
725C22×C8C2411yescharacteristic
726C22×C8C2411yescharacteristic
727C22×C8C2411yescharacteristic
728C22×C8C2411yescharacteristic
729C22×C8C2411yescharacteristic
730C22×C8C2411yescharacteristic
731C22×C8C2411yescharacteristic
732C22×C8C2411yescharacteristic
733C4⋊Q8—22no—
734C4⋊Q8—22no—
735C4⋊Q8—41no—
736C4⋊Q8—41no—
737#124—22no—
738#124—22no—
739#124—41no—
740#124—41no—
741#123—44no—
742#123—44no—
743#123—44no—
744#123—44no—
745#123—44no—
746#123—44no—
747#123—82no—
748C22⋊Q8—22no—
749C22⋊Q8—22no—
750C22⋊Q8—22no—
751C22⋊Q8—22no—
752C22⋊Q8—22no—
753C22⋊Q8—22no—
754C22⋊Q8—41no—
755C22⋊Q8—41no—
756C22⋊Q8—41no—
757C22⋊Q8—41no—
758C22⋊Q8—41no—
759C22⋊Q8—41no—
760C22⋊Q8—41no—
761C22⋊Q8—41no—
762C22⋊Q8—41no—
763C22⋊Q8—41no—
764#121—22no—
765#121—22no—
766#121—22no—
767#121—22no—
768#121—22no—
769#121—22no—
770#121—44no—
771#121—41no—
772#121—41no—
773#121—41no—
774#121—41no—
775#121—41no—
776#121—41no—
777#121—44no—
778#121—44no—
779#121—44no—
780#121—44no—
781#121—44no—
782#120—42no—
783#120—44no—
784#120—44no—
785C4×D4—22no—
786C4×D4—22no—
787C4×D4—22no—
788C4×D4—22no—
789C4×D4—22no—
790C4×D4—22no—
791C4×D4—41no—
792C4×D4—41no—
793C4×D4—41no—
794C4×D4—41no—
795C4×D4—41no—
796C4×D4—41no—
797C4×D4—41no—
798C4×D4—41no—
799C4×D4—41no—
800C4×D4—41no—
801C4×D4—41no—
802C4×D4—41no—
803C2×C4⋊C4—22no—
804C2×C4⋊C4—22no—
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×D411yescharacteristic
824C2×C4⋊C4C2×D411yescharacteristic
825C2×C4⋊C4C2411yescharacteristic
826C2×C4⋊C4C2411yescharacteristic
827C2×C4⋊C4C2411yescharacteristic
828C2×C4⋊C4C2411yescharacteristic
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2411yescharacteristic
831C2×C4⋊C4C2411yescharacteristic
832C2×C4⋊C4C2411yescharacteristic
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—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—44no—
874C2×C22⋊C4—44no—
875C2×C22⋊C4—44no—
876C2×C22⋊C4—44no—
877C2×C22⋊C4—82no—
878C2×C22⋊C4C2×D411yescharacteristic
879C2×C22⋊C4C2×D411yescharacteristic
880C2×C22⋊C4C2×D411yescharacteristic
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×C42C2411yescharacteristic
891C2×C42C2411yescharacteristic
892C2×C42C2411yescharacteristic
893#107—41no—
894#107—41no—
895#107—41no—
896#106—22no—
897#106—41no—
898C4⋊C8—22no—
899C4⋊C8—41no—
900C4⋊C8—41no—
901#103—22no—
902#103—22no—
903#103—22no—
904#103—22no—
905#103—22no—
906#103—22no—
907#103—22no—
908#103—22no—
909#103—41no—
910#103—41no—
911#103—41no—
912#103—41no—
913#103—41no—
914#103—41no—
915#103—41no—
916#103—41no—
917#103—41no—
918#103—41no—
919#102—22no—
920#102—22no—
921#102—22no—
922#102—22no—
923#102—22no—
924#102—22no—
925#102—22no—
926#102—22no—
927#102—22no—
928#102—22no—
929#102—41no—
930#102—41no—
931#102—41no—
932#102—41no—
933#102—41no—
934#102—41no—
935C22⋊C8—22no—
936C22⋊C8—22no—
937C22⋊C8—22no—
938C22⋊C8—22no—
939C22⋊C8—22no—
940C22⋊C8—22no—
941C22⋊C8—22no—
942C22⋊C8—41no—
943C22⋊C8—41no—
944C22⋊C8—41no—
945C22⋊C8—41no—
946C22⋊C8—41no—
947C22⋊C8—41no—
948#97—22no—
949#97—41no—
950C4×C8—41no—
951#95—21no—
952#95—21no—
953#95—21no—
954#95—21no—
955#95—21no—
956#95—21no—
957#95—21no—
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#95—21no—
977#95C2×D411yescharacteristic
978#95C2×D411yescharacteristic
979#95C2×D411yescharacteristic
980#95C2×D411yescharacteristic
981#95C2×D411yescharacteristic
982#95C2×D411yescharacteristic
983C24—21no—
984C24—24no—
985C24—21no—
986C24—21no—
987C24—21no—
988C24—22no—
989C24—24no—
990C24—22no—
991C24—41no—
992C24—41no—
993C24—41no—
994C24—41no—
995C24—41no—
996C24—42no—
997C24—42no—
998C24—42no—
999C24—42no—
1000C24—42no—
1001C24—42no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24—81no—
1006C24—81no—
1007C24—81no—
1008C24C22×D411yescharacteristic
1009C24C22×D411yescharacteristic
1010C24C22×D411yescharacteristic
1011C24C22×D411yescharacteristic
1012#41—28no—
1013#41—28no—
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—44no—
1026#41—432no—
1027#41—432no—
1028#41—44no—
1029#41—44no—
1030#41—44no—
1031#41—44no—
1032#41—82no—
1033#41—82no—
1034#41—82no—
1035#41—82no—
1036#41—82no—
1037#41—82no—
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—21no—
1056C2×Q8—21no—
1057C2×Q8—21no—
1058C2×Q8—21no—
1059C2×Q8—21no—
1060C2×Q8—42no—
1061C2×Q8—42no—
1062C2×Q8—42no—
1063C2×Q8—44no—
1064C2×Q8—44no—
1065C2×Q8—44no—
1066C2×Q8—44no—
1067C2×Q8C22×D412yes—
1068C2×Q8H(5,𝔽2)12yes—
1069C2×D4—24no—
1070C2×D4—24no—
1071C2×D4—24no—
1072C2×D4—22no—
1073C2×D4—22no—
1074C2×D4—24no—
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—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—42no—
1096C2×D4—42no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
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—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—82no—
1134C2×D4—82no—
1135C2×D4—81no—
1136C2×D4—81no—
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×D4—81no—
1146C2×D4—81no—
1147C2×D4—816no—
1148C2×D4C22×D412yes—
1149C2×D4C22×D412yes—
1150C2×D4C22×D412yes—
1151C2×D4H(5,𝔽2)12yes—
1152C2×D4H(5,𝔽2)12yes—
1153C2×D4H(5,𝔽2)12yes—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—24no—
1159C22×C4—22no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—24no—
1163C22×C4—22no—
1164C22×C4—22no—
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—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
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—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—432no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—81no—
1231C22×C4—81no—
1232C22×C4—81no—
1233C22×C4—81no—
1234C22×C4—81no—
1235C22×C4—81no—
1236C22×C4—81no—
1237C22×C4—81no—
1238C22×C4—81no—
1239C22×C4—81no—
1240C22×C4—81no—
1241C22×C4—81no—
1242C22×C4—81no—
1243C22×C4—81no—
1244C22×C4C22×D411yescharacteristic
1245C22×C4C22×D411yescharacteristic
1246C22×C4C22×D411yescharacteristic
1247C22×C4C22×D411yescharacteristic
1248C22×C4C22×D411yescharacteristic
1249C22×C4C22×D411yescharacteristic
1250C22×C4C22×D411yescharacteristic
1251C22×C4C22×D411yescharacteristic
1252C22×C4C22×D411yescharacteristic
1253C22×C4C22×D411yescharacteristic
1254C22×C4C22×D412yes—
1255C22×C4H(5,𝔽2)12yes—
1256C22×C4C2511yescharacteristic
1257Q16—44no—
1258Q16—82no—
1259Q16—82no—
1260SD16—44no—
1261SD16—44no—
1262SD16—44no—
1263SD16—44no—
1264SD16—44no—
1265SD16—44no—
1266SD16—82no—
1267SD16—82no—
1268D8—28no—
1269D8—28no—
1270D8—44no—
1271D8—44no—
1272M16—44no—
1273M16—44no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—21no—
1278C2×C8—21no—
1279C2×C8—21no—
1280C2×C8—21no—
1281C2×C8—21no—
1282C2×C8—21no—
1283C2×C8—21no—
1284C2×C8—21no—
1285C2×C8—21no—
1286C2×C8—21no—
1287C2×C8—21no—
1288C2×C8—21no—
1289C2×C8—21no—
1290C2×C8—21no—
1291C2×C8—21no—
1292C2×C8—21no—
1293C2×C8—21no—
1294C2×C8—21no—
1295C2×C8—21no—
1296C2×C8—44no—
1297C2×C8C22×D412yes—
1298C2×C8C22×D412yes—
1299C4⋊C4—22no—
1300C4⋊C4—21no—
1301C4⋊C4—21no—
1302C4⋊C4—21no—
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—21no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—21no—
1311C4⋊C4—21no—
1312C4⋊C4—21no—
1313C4⋊C4—21no—
1314C4⋊C4—21no—
1315C4⋊C4—21no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—81no—
1330C4⋊C4—81no—
1331C4⋊C4—81no—
1332C4⋊C4—81no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
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—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—81no—
1370C22⋊C4—81no—
1371C22⋊C4—81no—
1372C22⋊C4—81no—
1373C22⋊C4—81no—
1374C22⋊C4—81no—
1375C22⋊C4—81no—
1376C22⋊C4—81no—
1377C22⋊C4—81no—
1378C22⋊C4—81no—
1379C22⋊C4—81no—
1380C22⋊C4—81no—
1381C22⋊C4—81no—
1382C22⋊C4—81no—
1383C22⋊C4—81no—
1384C22⋊C4—81no—
1385C42—21no—
1386C42—21no—
1387C42—21no—
1388C42—21no—
1389C42—21no—
1390C42—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—22no—
1398C23—21no—
1399C23—21no—
1400C23—22no—
1401C23—22no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—22no—
1414C23—22no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—22no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—44no—
1424C23—44no—
1425C23—48no—
1426C23—48no—
1427C23—48no—
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—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—82no—
1451C23—82no—
1452C23—82no—
1453C23—84no—
1454C23—84no—
1455C23—84no—
1456C23—84no—
1457C23—84no—
1458C23—82no—
1459C23—82no—
1460C23—84no—
1461C23—84no—
1462C23—162no—
1463C23—162no—
1464C23—162no—
1465C23—162no—
1466C23D4212yes—
1467C23#57512yes—
1468C23C23×D411yescharacteristic
1469Q8—22no—
1470Q8—22no—
1471Q8—22no—
1472Q8—22no—
1473Q8—48no—
1474Q8—41no—
1475Q8—41no—
1476Q8—41no—
1477Q8—41no—
1478Q8—41no—
1479Q8—41no—
1480Q8—41no—
1481Q8—41no—
1482Q8—41no—
1483Q8—41no—
1484Q8—41no—
1485Q8—41no—
1486D4—22no—
1487D4—22no—
1488D4—22no—
1489D4—22no—
1490D4—22no—
1491D4—22no—
1492D4—22no—
1493D4—22no—
1494D4—22no—
1495D4—48no—
1496D4—48no—
1497D4—48no—
1498D4—48no—
1499D4—48no—
1500D4—41no—
1501D4—41no—
1502D4—41no—
1503D4—41no—
1504D4—41no—
1505D4—41no—
1506D4—84no—
1507D4—82no—
1508D4—82no—
1509D4—82no—
1510D4—84no—
1511D4—84no—
1512D4—84no—
1513D4—84no—
1514D4—84no—
1515D4—84no—
1516D4—162no—
1517D4—162no—
1518D4#53414yes—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—48no—
1555C2×C4—44no—
1556C2×C4—44no—
1557C2×C4—48no—
1558C2×C4—44no—
1559C2×C4—48no—
1560C2×C4—48no—
1561C2×C4—48no—
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—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—84no—
1609C2×C4—84no—
1610C2×C4—84no—
1611C2×C4—84no—
1612C2×C4—84no—
1613C2×C4—162no—
1614C2×C4—162no—
1615C2×C4—162no—
1616C2×C4—162no—
1617C2×C4D4212yes—
1618C2×C4C23×D411yescharacteristic
1619C2×C4C2×H(5,𝔽2)11yescharacteristic
1620C2×C4C2×H(5,𝔽2)11yescharacteristic
1621C2×C4C2×H(5,𝔽2)11yescharacteristic
1622C2×C4C2×H(5,𝔽2)11yescharacteristic
1623C2×C4C2×H(5,𝔽2)11yescharacteristic
1624C8—22no—
1625C8—22no—
1626C8—41no—
1627C8—41no—
1628C8—41no—
1629C8—41no—
1630C8—41no—
1631C8—41no—
1632C22—22no—
1633C22—24no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—41no—
1640C22—41no—
1641C22—42no—
1642C22—42no—
1643C22—41no—
1644C22—42no—
1645C22—42no—
1646C22—41no—
1647C22—42no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—42no—
1653C22—42no—
1654C22—41no—
1655C22—41no—
1656C22—42no—
1657C22—42no—
1658C22—41no—
1659C22—41no—
1660C22—42no—
1661C22—41no—
1662C22—42no—
1663C22—42no—
1664C22—41no—
1665C22—42no—
1666C22—41no—
1667C22—42no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—42no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—88no—
1677C22—816no—
1678C22—81no—
1679C22—81no—
1680C22—81no—
1681C22—81no—
1682C22—81no—
1683C22—81no—
1684C22—81no—
1685C22—81no—
1686C22—81no—
1687C22—81no—
1688C22—81no—
1689C22—81no—
1690C22—168no—
1691C22C2×D4211yescharacteristic
1692C22#348411yescharacteristic
1693C22#348411yescharacteristic
1694C22C2×#57511yescharacteristic
1695C22#358411yescharacteristic
1696C22#358511yescharacteristic
1697C22#358611yescharacteristic
1698C4—22no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—42no—
1703C4—42no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—81no—
1711C4—81no—
1712C4—81no—
1713C4—81no—
1714C4—81no—
1715C4—81no—
1716C4—81no—
1717C4—81no—
1718C4—81no—
1719C4—81no—
1720C4C2×#53411yescharacteristic
1721C4#348411yescharacteristic
1722C4#353211yescharacteristic
1723C4#353211yescharacteristic
1724C2—42no—
1725C2—42no—
1726C2—44no—
1727C2—81no—
1728C2—81no—
1729C2—82no—
1730C2—82no—
1731C2—82no—
1732C2#3764411yescharacteristic
1733C2#6106611yescharacteristic
1734C2#6107311yescharacteristic
1735C2#6157511yescharacteristic
1736C2#6160611yescharacteristic
1737C2#6161411yescharacteristic
1738C2#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×#3267C2semidirect
2. C2×#3006C2semidirect
3. #39466C2semidirect
4. #36213C2semidirect
5. #32883C2semidirect
6. #31066C2semidirect
7. #31061C2semidirect
8. #31002C2semidirect
9. #30993C2semidirect
10. #30470C2semidirect
11. #30469C2semidirect
12. #30403C2semidirect
13. #30397C2semidirect
14. #29743C2semidirect
15. #29598C2semidirect
16. #28356C2semidirect
17. #28101C2semidirect
18. #25172C2semidirect
19. #25150C2semidirect
20. #24915C2semidirect
21. #24909C2semidirect
22. #24545C2semidirect
23. #24367C2semidirect
24. #24249C2semidirect
25. #24245C2semidirect
26. #24054C2semidirect
27. #23863C2semidirect
28. #23853C2semidirect
29. #23850C2semidirect
30. #22442C2semidirect
31. #22036C2semidirect
35. C22×#135C22semidirect
37. C2×#547C22semidirect
38. C2×#546C22semidirect
39. C2×#546C22semidirect
42. C2×#497C22semidirect
43. C2×#484C22semidirect
44. C2×#470C22semidirect
45. C2×#465C22semidirect
46. C2×#463C22semidirect
47. C2×#463C22semidirect
48. C2×#461C22semidirect
49. C2×#461C22semidirect
53. C2×#452C22semidirect
54. C2×#452C22semidirect
55. C2×#452C22semidirect
56. C2×#452C22semidirect
61. C2×#449C22semidirect
62. C2×#449C22semidirect
63. C2×#451C22semidirect
66. C2×#450C22semidirect
67. C2×#450C22semidirect
70. C2×#442C22semidirect
71. C2×#442C22semidirect
72. C2×C4×D8C22semidirect
73. C2×#435C22semidirect
86. #2535C22semidirect
87. #2503C22semidirect
88. #2486C22semidirect
90. #2434C22semidirect
92. #2432C22semidirect
96. #2427C22semidirect
98. #2420C22semidirect
101. #2409C22semidirect
104. #2407C22semidirect
105. #2407C22semidirect
110. #2339C22semidirect
111. D4×C22⋊C4C22semidirect
112. D4×C22⋊C4C22semidirect
116. #2097C22semidirect
117. #2092C22semidirect
118. #2077C22semidirect
119. #2077C22semidirect
120. #2074C22semidirect
121. #2074C22semidirect
122. #2068C22semidirect
123. #2065C22semidirect
124. #2056C22semidirect
125. #2056C22semidirect
126. #2055C22semidirect
127. #2054C22semidirect
128. #2043C22semidirect
129. #2043C22semidirect
130. #2036C22semidirect
131. #2036C22semidirect
132. #2036C22semidirect
133. #2036C22semidirect
134. #2035C22semidirect
135. #2035C22semidirect
136. #2035C22semidirect
139. #2033C22semidirect
140. #2033C22semidirect
141. #2033C22semidirect
142. #2016C22semidirect
143. #2015C22semidirect
144. #2015C22semidirect
145. #2013C22semidirect
146. #2012C22semidirect
147. #2012C22semidirect
148. #2001C22semidirect
149. #2001C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
155. #1999C22semidirect
156. #1973C22semidirect
157. #1973C22semidirect
158. #1969C22semidirect
159. #1968C22semidirect
160. #1960C22semidirect
161. #1958C22semidirect
162. #1955C22semidirect
163. #1954C22semidirect
164. #1936C22semidirect
165. #1935C22semidirect
166. #1924C22semidirect
167. #1924C22semidirect
168. #1924C22semidirect
169. #1923C22semidirect
170. #1894C22semidirect
171. #1894C22semidirect
172. #1893C22semidirect
173. #1892C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1877C22semidirect
179. #1877C22semidirect
180. #1877C22semidirect
181. #1877C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
184. #1870C22semidirect
185. #1869C22semidirect
186. #1869C22semidirect
187. #1862C22semidirect
188. #1862C22semidirect
189. #1851C22semidirect
190. #1824C22semidirect
191. #1809C22semidirect
192. #1804C22semidirect
193. #1804C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1788C22semidirect
200. #1787C22semidirect
201. #1786C22semidirect
202. #1786C22semidirect
204. #1753C22semidirect
231. C2×AGL(1,ℤ/8)D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32672
C2×#30062
#394662
#362132
#328832
#310662
#310612
#310022
#309932
#304702
#304692
#304032
#303972
#297432
#295982
#283562
#281012
#251722
#251502
#249152
#249092
#245452
#243672
#242492
#242452
#240542
#238632
#238532
#238502
#224422
#220362