Finite Group Databasebeta

← #7361445

Subgroups — #7361445

Order 512.

2360 conjugacy classes of subgroups.

The subgroup lattice has 1689 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58997C211yesmaximal, characteristic, complemented
2#39887C211yesmaximal, characteristic, complemented
3#31734C211yesmaximal, characteristic, complemented
4#31718C211yesmaximal, characteristic, complemented
5#31063C211yesmaximal, characteristic, complemented
6#30715C211yesmaximal, characteristic, complemented
7#30705C211yesmaximal, characteristic, complemented
8#30547C211yesmaximal, characteristic, complemented
9#30539C211yesmaximal, characteristic, complemented
10#30505C211yesmaximal, characteristic, complemented
11#30472C211yesmaximal, characteristic, complemented
12#30471C211yesmaximal, characteristic, complemented
13#30456C211yesmaximal, characteristic, complemented
14#30454C211yesmaximal, characteristic, complemented
15#29598C211yesmaximal, characteristic, complemented
16#29596C211yesmaximal, characteristic, complemented
17#27418C211yesmaximal, characteristic, complemented
18#27399C211yesmaximal, characteristic, complemented
19#26945C211yesmaximal, characteristic, complemented
20#26944C211yesmaximal, characteristic, complemented
21#26736C211yesmaximal, characteristic, complemented
22#26723C211yesmaximal, characteristic, complemented
23#25763C211yesmaximal, characteristic, complemented
24#25753C211yesmaximal, characteristic, complemented
25#25583C211yesmaximal, characteristic, complemented
26#24432C211yesmaximal, characteristic, complemented
27#24424C211yesmaximal, characteristic, complemented
28#23966C211yesmaximal, characteristic, complemented
29#23920C211yesmaximal, characteristic, complemented
30#23920C211yesmaximal, characteristic, complemented
31#23307C211yesmaximal, characteristic, complemented
32C2×#552C2211yescharacteristic, complemented
33C2×D42—21no—
34C2×D42C2211yescharacteristic
35C2×D42C2211yescharacteristic
36C2×#525C2211yescharacteristic, complemented
37C22×#121C2211yescharacteristic
38C22×#121C2211yescharacteristic
39C2×#496C2211yescharacteristic, complemented
40C2×#492C2211yescharacteristic, complemented
41C2×#490C2211yescharacteristic, complemented
42C2×#484C2211yescharacteristic, complemented
43C2×#483C2211yescharacteristic, complemented
44C2×#466C2211yescharacteristic, complemented
45C2×#465C2211yescharacteristic, complemented
46C2×#460C2211yescharacteristic, complemented
47C2×#463C2211yescharacteristic, complemented
48C2×#461C2211yescharacteristic, complemented
49C2×#449C2211yescharacteristic, complemented
50C2×#449C2211yescharacteristic, complemented
51C2×#449C2211yescharacteristic, complemented
52C2×#449C2211yescharacteristic, complemented
53C2×#450C2211yescharacteristic, complemented
54C2×#450C2211yescharacteristic, complemented
55C2×#450C2211yescharacteristic, complemented
56C2×#450C2211yescharacteristic, complemented
57C2×#450C2211yescharacteristic, complemented
58C2×#450C2211yescharacteristic, complemented
59C2×#447C2211yescharacteristic, complemented
60C2×#447C2211yescharacteristic, complemented
61C2×#447C2211yescharacteristic, complemented
62C22×#102C2211yescharacteristic, complemented
63#2848C2211yescharacteristic, complemented
64#2718—21no—
65#2706—21no—
66#2685—21no—
67#2678—21no—
68#2675—21no—
69#2669—21no—
70#2633—21no—
71#2598—21no—
72#2566—21no—
73#2542C2211yescharacteristic, complemented
74#2541C2211yescharacteristic
75#2540C2211yescharacteristic, complemented
76#2490C2211yescharacteristic, complemented
77#2489C2211yescharacteristic, complemented
78#2433C2211yescharacteristic
79#2433C2211yescharacteristic
80#2432C2211yescharacteristic, complemented
81#2429C2211yescharacteristic, complemented
82#2428C2211yescharacteristic
83#2428C2211yescharacteristic
84#2426C2211yescharacteristic, complemented
85#2424—21no—
86#2424—21no—
87#2417C2211yescharacteristic, complemented
88#2416C2211yescharacteristic
89#2416C2211yescharacteristic
90#2416C2211yescharacteristic, complemented
91#2410—21no—
92#2410—21no—
93#2408C2211yescharacteristic
94#2407C2211yescharacteristic, complemented
95#2403—21no—
96#2361C2211yescharacteristic
97#2361C2211yescharacteristic
98#2347C2211yescharacteristic, complemented
99#2324—21no—
100C4×#120C2211yescharacteristic
101#2088C2211yescharacteristic, complemented
102#2086C2211yescharacteristic, complemented
103#2055C2211yescharacteristic, complemented
104#2055C2211yescharacteristic, complemented
105#2054C2211yescharacteristic, complemented
106#2054C2211yescharacteristic, complemented
107#2043C2211yescharacteristic, complemented
108#2042C2211yescharacteristic, complemented
109#2041C2211yescharacteristic, complemented
110#2041C2211yescharacteristic, complemented
111#2035C2211yescharacteristic, complemented
112#2034C2211yescharacteristic
113#2034C2211yescharacteristic, complemented
114#2034C2211yescharacteristic, complemented
115#2034C2211yescharacteristic, complemented
116#2033C2211yescharacteristic
117#2033C2211yescharacteristic, complemented
118#2033C2211yescharacteristic, complemented
119#2033C2211yescharacteristic, complemented
120#2033C2211yescharacteristic, complemented
121#2025C2211yescharacteristic, complemented
122#2025C2211yescharacteristic, complemented
123#2014C2211yescharacteristic, complemented
124#2014C2211yescharacteristic, complemented
125#2013C2211yescharacteristic, complemented
126#2012C2211yescharacteristic, complemented
127#2011C2211yescharacteristic, complemented
128#2011C2211yescharacteristic, complemented
129#2000C2211yescharacteristic
130#2000C2211yescharacteristic
131#2000C2211yescharacteristic
132#2000C2211yescharacteristic
133#2000C2211yescharacteristic, complemented
134#2000C2211yescharacteristic, complemented
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
146#1999C2211yescharacteristic, complemented
147#1999C2211yescharacteristic, complemented
148#1999C2211yescharacteristic, complemented
149#1989C2211yescharacteristic, complemented
150#1982C2211yescharacteristic, complemented
151#1982C2211yescharacteristic, complemented
152#1973C2211yescharacteristic, complemented
153#1972C2211yescharacteristic, complemented
154#1955C2211yescharacteristic, complemented
155#1955C2211yescharacteristic, complemented
156#1954C2211yescharacteristic, complemented
157#1936C2211yescharacteristic, complemented
158#1935C2211yescharacteristic, complemented
159#1934C2211yescharacteristic, complemented
160#1934C2211yescharacteristic, complemented
161#1928C2211yescharacteristic, complemented
162#1926C2211yescharacteristic, complemented
163#1926C2211yescharacteristic, complemented
164#1925C2211yescharacteristic, complemented
165#1924C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1924C2211yescharacteristic, complemented
168#1924C2211yescharacteristic, complemented
169#1923C2211yescharacteristic, complemented
170#1923C2211yescharacteristic, complemented
171#1921C2211yescharacteristic, complemented
172#1919C2211yescharacteristic, complemented
173#1892C2211yescharacteristic, complemented
174#1880C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1875C2211yescharacteristic, complemented
179#1875C2211yescharacteristic, complemented
180#1875C2211yescharacteristic, complemented
181#1875C2211yescharacteristic, complemented
182#1874C2211yescharacteristic, complemented
183#1874C2211yescharacteristic, complemented
184#1874C2211yescharacteristic, complemented
185#1874C2211yescharacteristic, complemented
186#1872C2211yescharacteristic, complemented
187#1872C2211yescharacteristic, complemented
188#1869C2211yescharacteristic, complemented
189#1869C2211yescharacteristic, complemented
190#1869C2211yescharacteristic, complemented
191#1864C2211yescharacteristic, complemented
192#1862C2211yescharacteristic, complemented
193#1824C2211yescharacteristic, complemented
194#1823C2211yescharacteristic, complemented
195#1823C2211yescharacteristic, complemented
196#1786C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1779C2211yescharacteristic, complemented
199#1779C2211yescharacteristic, complemented
200#1763C2211yescharacteristic, complemented
201#1762C2211yescharacteristic, complemented
202C4×#102C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4—21no—
205C23×D4—21no—
206C23×D4—21no—
207C23×D4—21no—
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C23×C8C2311yescharacteristic
225#552—42no—
226#552—42no—
227D42—42no—
228D42—42no—
229D42—48no—
230D42—42no—
231D42—42no—
232C2×C4⋊Q8C2311yescharacteristic
233C2×#127—21no—
234C2×#127C2311yescharacteristic
235C2×#127C2311yescharacteristic
236C2×#127C2311yescharacteristic
237C2×#126—21no—
238C2×#125—21no—
239C2×#125C2311yescharacteristic
240C2×#124C2311yescharacteristic
241#525—42no—
242#525—42no—
243C2×#123—21no—
244C2×#123—21no—
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×#121—21no—
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—42no—
264C2×#121—42no—
265C2×#121—42no—
266C2×#121—42no—
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#120—21no—
281C2×#120—21no—
282C2×#120—21no—
283C2×#120—21no—
284C2×#120—21no—
285C2×#120—21no—
286C2×#120—21no—
287C2×#120—21no—
288C2×#120—21no—
289C2×#120—21no—
290C2×#120D411yescharacteristic
291C2×C4×Q8C2311yescharacteristic
292C2×C4×D4—21no—
293C2×C4×D4—21no—
294C2×C4×D4—21no—
295C2×C4×D4—21no—
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×#117—21no—
302C2×#117C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C22⋊C4—21no—
307C22×C22⋊C4—21no—
308#496—42no—
309#492—42no—
310#490—42no—
311#484—42no—
312#483—42no—
313#466—42no—
314#465—42no—
315#463—42no—
316#461—42no—
317#460—42no—
318#450—42no—
319#450—42no—
320#450—42no—
321#450—42no—
322#450—42no—
323#450—42no—
324#449—42no—
325#449—42no—
326#449—42no—
327#449—42no—
328#447—42no—
329#447—42no—
330#447—42no—
331C2×#107C2311yescharacteristic
332C2×#107C2311yescharacteristic
333C2×#106C2311yescharacteristic
334C2×#106C2311yescharacteristic
335C2×C4⋊C8C2311yescharacteristic
336C2×C4⋊C8C2311yescharacteristic
337C2×C4⋊C8C2311yescharacteristic
338C2×#103C2311yescharacteristic
339C2×#103C2311yescharacteristic
340C2×#103C2311yescharacteristic
341C2×#103C2311yescharacteristic
342C2×#103C2311yescharacteristic
343C2×#103C2311yescharacteristic
344C2×#103C2311yescharacteristic
345C2×#103C2311yescharacteristic
346C2×#102—42no—
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
372C2×C22⋊C8C2311yescharacteristic
373C2×C22⋊C8C2311yescharacteristic
374C2×C22⋊C8C2311yescharacteristic
375C2×C22⋊C8C2311yescharacteristic
376C2×C22⋊C8C2311yescharacteristic
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×#97C2311yescharacteristic
387C2×#97C2311yescharacteristic
388C2×C4×C8C2311yescharacteristic
389#400—21no—
390#399—21no—
391#399—21no—
392#399—21no—
393#398—21no—
394#398—21no—
395#397—21no—
396#397—21no—
397#396—21no—
398#396—21no—
399#396—21no—
400#396—21no—
401#396—21no—
402#396—21no—
403#394—21no—
404#394—21no—
405#394—21no—
406#394—21no—
407#394—21no—
408#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#394—21no—
413#394—21no—
414#392—21no—
415#392—21no—
416#392—21no—
417#392—21no—
418#392—21no—
419#392—21no—
420#392—21no—
421#392—21no—
422#392—21no—
423#392—21no—
424#392—21no—
425#391C2311yescharacteristic
426#391C2311yescharacteristic
427#390—21no—
428#390—21no—
429#390—21no—
430#390—21no—
431#390—21no—
432#390—21no—
433#390C2311yescharacteristic
434#390C2311yescharacteristic
435#390C2311yescharacteristic
436#390C2311yescharacteristic
437#390C2311yescharacteristic
438#390C2311yescharacteristic
439#389—21no—
440#389C2311yescharacteristic
441#389C2311yescharacteristic
442#389C2311yescharacteristic
443#389C2311yescharacteristic
444#388—21no—
445#388—21no—
446#388—21no—
447#388—21no—
448#388—21no—
449#388—21no—
450#388—21no—
451#388—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#386D411yescharacteristic
462#386D411yescharacteristic
463#386D411yescharacteristic
464#385—21no—
465#385—21no—
466#385—21no—
467#385—21no—
468#385—21no—
469#385—21no—
470#385—21no—
471#385—21no—
472#385D411yescharacteristic
473#385D411yescharacteristic
474#385D411yescharacteristic
475#384—21no—
476#383—21no—
477#382—21no—
478#380—21no—
479#380C2311yescharacteristic
480#380C2311yescharacteristic
481#380C2311yescharacteristic
482#380C2311yescharacteristic
483#379—21no—
484#379—21no—
485#379D411yescharacteristic
486C4×C4⋊C4—21no—
487C4×C4⋊C4C2311yescharacteristic
488C4×C4⋊C4C2311yescharacteristic
489C4×C4⋊C4C2311yescharacteristic
490C4×C22⋊C4C2311yescharacteristic
491C4×C22⋊C4C2311yescharacteristic
492C4×C22⋊C4C2311yescharacteristic
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#340C2311yescharacteristic
508#340C2311yescharacteristic
509#336C2311yescharacteristic
510#336C2311yescharacteristic
511#336C2311yescharacteristic
512#336C2311yescharacteristic
513#336C2311yescharacteristic
514#336C2311yescharacteristic
515C25—21no—
516C25—21no—
517C25—21no—
518C25C2×D411yescharacteristic
519C2×#41—41no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—41no—
525C22×Q8C2411yescharacteristic
526C22×Q8C2411yescharacteristic
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—22no—
530C22×D4—22no—
531C22×D4—22no—
532C22×D4—22no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
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—41no—
555C22×D4—41no—
556C22×D4—41no—
557C22×D4—41no—
558C22×D4—41no—
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—41no—
568C22×D4—44no—
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×D4—82no—
579C22×D4—82no—
580C22×D4C2×D411yescharacteristic
581C22×D4C2×D411yescharacteristic
582C22×D4C2×D411yescharacteristic
583C22×D4C2411yescharacteristic
584C22×D4C2411yescharacteristic
585C22×D4C2411yescharacteristic
586C22×D4C2411yescharacteristic
587C22×D4C2411yescharacteristic
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×C4C2×D411yescharacteristic
601C23×C4C2×D411yescharacteristic
602C23×C4C2×D411yescharacteristic
603C23×C4C2411yescharacteristic
604C23×C4C2411yescharacteristic
605C23×C4C2411yescharacteristic
606C23×C4C2411yescharacteristic
607C2×SD16—22no—
608C2×SD16—22no—
609C2×SD16—22no—
610C2×SD16—22no—
611C2×SD16—41no—
612C2×SD16—41no—
613C2×SD16—41no—
614C2×SD16—41no—
615C2×SD16—41no—
616C2×SD16—41no—
617C2×SD16—41no—
618C2×SD16—41no—
619C2×SD16—41no—
620C2×SD16—41no—
621C2×SD16—41no—
622C2×SD16—41no—
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×D8—22no—
632C2×D8—22no—
633C2×D8—41no—
634C2×D8—41no—
635C2×D8—41no—
636C2×D8—41no—
637C2×D8—41no—
638C2×D8—41no—
639C2×D8—41no—
640C2×D8—41no—
641C2×D8—41no—
642C2×D8—41no—
643C22×C8—41no—
644C22×C8—41no—
645C22×C8—41no—
646C22×C8C2411yescharacteristic
647C22×C8C2411yescharacteristic
648C22×C8C2411yescharacteristic
649C22×C8C2411yescharacteristic
650C22×C8C2411yescharacteristic
651C22×C8C2411yescharacteristic
652C22×C8C2411yescharacteristic
653C22×C8C2411yescharacteristic
654C4⋊Q8—41no—
655C4⋊Q8—41no—
656#127—22no—
657#127—22no—
658#127—41no—
659#127—41no—
660#127—41no—
661#127—41no—
662#127—44no—
663#126—44no—
664#125—22no—
665#125—41no—
666#125—44no—
667#124—41no—
668#124—41no—
669#123—44no—
670#123—44no—
671C22⋊Q8—22no—
672C22⋊Q8—22no—
673C22⋊Q8—22no—
674C22⋊Q8—41no—
675C22⋊Q8—41no—
676C22⋊Q8—41no—
677C22⋊Q8—41no—
678C22⋊Q8—41no—
679C22⋊Q8—41no—
680C22⋊Q8—41no—
681C22⋊Q8—41no—
682C22⋊Q8—41no—
683C22⋊Q8—41no—
684C22⋊Q8—41no—
685#121—22no—
686#121—22no—
687#121—22no—
688#121—22no—
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—44no—
698#121—44no—
699#121—44no—
700#121—44no—
701#121—44no—
702#121—44no—
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—41no—
721#121—41no—
722#120—24no—
723#120—44no—
724#120—44no—
725#120—44no—
726#120—44no—
727#120—44no—
728#120—44no—
729#120—44no—
730#120—44no—
731#120—82no—
732#120—82no—
733C4×Q8—22no—
734C4×Q8—41no—
735C4×D4—22no—
736C4×D4—22no—
737C4×D4—41no—
738C4×D4—41no—
739C4×D4—41no—
740C4×D4—41no—
741C4×D4—41no—
742C4×D4—41no—
743C4×D4—41no—
744C4×D4—41no—
745C4×D4—44no—
746C4×D4—44no—
747C4×D4—44no—
748C4×D4—44no—
749#117—22no—
750#117—22no—
751#117—44no—
752C2×C4⋊C4—22no—
753C2×C4⋊C4—22no—
754C2×C4⋊C4—22no—
755C2×C4⋊C4—21no—
756C2×C4⋊C4—21no—
757C2×C4⋊C4—21no—
758C2×C4⋊C4—21no—
759C2×C4⋊C4—21no—
760C2×C4⋊C4—21no—
761C2×C4⋊C4—21no—
762C2×C4⋊C4—21no—
763C2×C4⋊C4—21no—
764C2×C4⋊C4—21no—
765C2×C4⋊C4—21no—
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—41no—
775C2×C4⋊C4—41no—
776C2×C4⋊C4—41no—
777C2×C4⋊C4C2×D411yescharacteristic
778C2×C4⋊C4C2×D411yescharacteristic
779C2×C4⋊C4C2×D411yescharacteristic
780C2×C4⋊C4C2411yescharacteristic
781C2×C4⋊C4C2411yescharacteristic
782C2×C4⋊C4C2411yescharacteristic
783C2×C4⋊C4C2411yescharacteristic
784C2×C4⋊C4C2411yescharacteristic
785C2×C4⋊C4C2411yescharacteristic
786C2×C4⋊C4C2411yescharacteristic
787C2×C4⋊C4C2411yescharacteristic
788C2×C4⋊C4C2411yescharacteristic
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
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—44no—
831C2×C22⋊C4—44no—
832C2×C22⋊C4C2×D411yescharacteristic
833C2×C22⋊C4C2×D411yescharacteristic
834C2×C22⋊C4C2×D411yescharacteristic
835C2×C22⋊C4C2×D411yescharacteristic
836C2×C22⋊C4C2×D411yescharacteristic
837C2×C22⋊C4C2×D411yescharacteristic
838C2×C22⋊C4C2×D411yescharacteristic
839C2×C22⋊C4C2×D411yescharacteristic
840C2×C22⋊C4C2×D411yescharacteristic
841C2×C22⋊C4C2×D411yescharacteristic
842C2×C22⋊C4C2×D411yescharacteristic
843C2×C22⋊C4C2×D411yescharacteristic
844C2×C42—21no—
845C2×C42—21no—
846C2×C42—21no—
847C2×C42—21no—
848C2×C42—21no—
849C2×C42C2411yescharacteristic
850C2×C42C2411yescharacteristic
851C2×C42C2411yescharacteristic
852#107—22no—
853#107—41no—
854#106—22no—
855#106—41no—
856C4⋊C8—41no—
857C4⋊C8—41no—
858C4⋊C8—41no—
859#103—22no—
860#103—22no—
861#103—22no—
862#103—22no—
863#103—41no—
864#103—41no—
865#103—41no—
866#103—41no—
867#102—22no—
868#102—22no—
869#102—22no—
870#102—22no—
871#102—22no—
872#102—22no—
873#102—22no—
874#102—22no—
875#102—22no—
876#102—22no—
877#102—22no—
878#102—22no—
879#102—41no—
880#102—41no—
881#102—41no—
882#102—41no—
883#102—41no—
884#102—41no—
885#102—41no—
886#102—41no—
887#102—41no—
888#102—41no—
889#102—41no—
890#102—41no—
891C22⋊C8—41no—
892C22⋊C8—41no—
893C22⋊C8—41no—
894C22⋊C8—41no—
895C22⋊C8—41no—
896C22⋊C8—41no—
897C22⋊C8—41no—
898C22⋊C8—41no—
899C22⋊C8—41no—
900C22⋊C8—41no—
901C22⋊C8—41no—
902C22⋊C8—41no—
903C22⋊C8—41no—
904C22⋊C8—41no—
905C22⋊C8—41no—
906#97—41no—
907#97—41no—
908C4×C8—41no—
909#95—21no—
910#95—21no—
911#95—21no—
912#95—21no—
913#95—21no—
914#95—21no—
915#95—21no—
916#95—21no—
917#95—21no—
918#95—21no—
919#95—21no—
920#95—21no—
921#95—21no—
922#95—21no—
923#95—21no—
924#95C2×D411yescharacteristic
925#95C2×D411yescharacteristic
926#95C2×D411yescharacteristic
927#95C2×D411yescharacteristic
928#95C2×D411yescharacteristic
929#95C2×D411yescharacteristic
930C24—21no—
931C24—21no—
932C24—22no—
933C24—22no—
934C24—21no—
935C24—21no—
936C24—21no—
937C24—41no—
938C24—41no—
939C24—41no—
940C24—41no—
941C24—41no—
942C24—42no—
943C24—42no—
944C24—42no—
945C24—42no—
946C24—42no—
947C24—42no—
948C24—42no—
949C24—42no—
950C24—42no—
951C24—42no—
952C24—42no—
953C24—81no—
954C24—81no—
955C24—81no—
956C24—81no—
957C24—81no—
958C24—81no—
959C24—81no—
960C24—81no—
961C24—81no—
962C24—81no—
963C24C22×D411yescharacteristic
964C24C22×D411yescharacteristic
965C24C22×D411yescharacteristic
966C24C22×D411yescharacteristic
967#41—82no—
968#41—82no—
969#41—82no—
970#41—82no—
971C2×Q8—21no—
972C2×Q8—21no—
973C2×Q8—21no—
974C2×Q8—21no—
975C2×Q8—21no—
976C2×Q8—21no—
977C2×Q8—21no—
978C2×Q8—21no—
979C2×Q8—21no—
980C2×Q8—21no—
981C2×Q8—21no—
982C2×Q8—21no—
983C2×D4—24no—
984C2×D4—24no—
985C2×D4—22no—
986C2×D4—22no—
987C2×D4—22no—
988C2×D4—21no—
989C2×D4—21no—
990C2×D4—21no—
991C2×D4—21no—
992C2×D4—21no—
993C2×D4—21no—
994C2×D4—21no—
995C2×D4—21no—
996C2×D4—21no—
997C2×D4—21no—
998C2×D4—21no—
999C2×D4—21no—
1000C2×D4—21no—
1001C2×D4—21no—
1002C2×D4—21no—
1003C2×D4—21no—
1004C2×D4—21no—
1005C2×D4—21no—
1006C2×D4—21no—
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—41no—
1017C2×D4—41no—
1018C2×D4—41no—
1019C2×D4—41no—
1020C2×D4—41no—
1021C2×D4—42no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—42no—
1025C2×D4—42no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—42no—
1033C2×D4—42no—
1034C2×D4—42no—
1035C2×D4—42no—
1036C2×D4—42no—
1037C2×D4—42no—
1038C2×D4—42no—
1039C2×D4—44no—
1040C2×D4—42no—
1041C2×D4—42no—
1042C2×D4—42no—
1043C2×D4—42no—
1044C2×D4—42no—
1045C2×D4—42no—
1046C2×D4—42no—
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—81no—
1064C2×D4—81no—
1065C2×D4—81no—
1066C2×D4—81no—
1067C2×D4—81no—
1068C2×D4—81no—
1069C2×D4—81no—
1070C2×D4—81no—
1071C2×D4—81no—
1072C2×D4—81no—
1073C2×D4—81no—
1074C2×D4—81no—
1075C2×D4—81no—
1076C2×D4—81no—
1077C2×D4—82no—
1078C2×D4—82no—
1079C2×D4—82no—
1080C2×D4—82no—
1081C2×D4—82no—
1082C2×D4—82no—
1083C2×D4—82no—
1084C2×D4—82no—
1085C2×D4—82no—
1086C2×D4—82no—
1087C2×D4—82no—
1088C2×D4—81no—
1089C2×D4—81no—
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—816no—
1101C2×D4—816no—
1102C2×D4—816no—
1103C2×D4—816no—
1104C2×D4AGL(1,ℤ/8)14yes—
1105C2×D4H(5,𝔽2)12yes—
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—21no—
1115C22×C4—21no—
1116C22×C4—21no—
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—21no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—42no—
1152C22×C4—42no—
1153C22×C4—42no—
1154C22×C4—42no—
1155C22×C4—42no—
1156C22×C4—42no—
1157C22×C4—42no—
1158C22×C4—42no—
1159C22×C4—42no—
1160C22×C4—42no—
1161C22×C4—42no—
1162C22×C4—81no—
1163C22×C4—81no—
1164C22×C4—81no—
1165C22×C4—81no—
1166C22×C4—82no—
1167C22×C4—82no—
1168C22×C4—82no—
1169C22×C4—82no—
1170C22×C4—81no—
1171C22×C4—81no—
1172C22×C4—81no—
1173C22×C4C22×D411yescharacteristic
1174C22×C4C22×D411yescharacteristic
1175C22×C4C22×D411yescharacteristic
1176C22×C4C22×D411yescharacteristic
1177C22×C4C22×D411yescharacteristic
1178C22×C4C22×D411yescharacteristic
1179C22×C4C22×D411yescharacteristic
1180C22×C4C22×D411yescharacteristic
1181C22×C4C22×D411yescharacteristic
1182C22×C4C22×D411yescharacteristic
1183C22×C4C2511yescharacteristic
1184SD16—82no—
1185SD16—82no—
1186SD16—82no—
1187SD16—82no—
1188SD16—82no—
1189SD16—82no—
1190SD16—82no—
1191SD16—82no—
1192D8—82no—
1193D8—82no—
1194D8—82no—
1195D8—82no—
1196C2×C8—21no—
1197C2×C8—21no—
1198C2×C8—21no—
1199C2×C8—21no—
1200C2×C8—21no—
1201C2×C8—21no—
1202C2×C8—21no—
1203C2×C8—21no—
1204C2×C8—21no—
1205C2×C8—21no—
1206C2×C8—21no—
1207C2×C8—21no—
1208C2×C8—21no—
1209C2×C8—21no—
1210C2×C8—21no—
1211C2×C8—21no—
1212C2×C8—21no—
1213C2×C8—21no—
1214C2×C8—21no—
1215C2×C8—21no—
1216C2×C8—21no—
1217C2×C8—21no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—82no—
1221C4⋊C4—21no—
1222C4⋊C4—21no—
1223C4⋊C4—21no—
1224C4⋊C4—21no—
1225C4⋊C4—21no—
1226C4⋊C4—21no—
1227C4⋊C4—21no—
1228C4⋊C4—21no—
1229C4⋊C4—21no—
1230C4⋊C4—21no—
1231C4⋊C4—21no—
1232C4⋊C4—21no—
1233C4⋊C4—21no—
1234C4⋊C4—21no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—42no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—42no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—42no—
1248C4⋊C4—42no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—81no—
1252C4⋊C4—81no—
1253C4⋊C4—81no—
1254C4⋊C4—81no—
1255C4⋊C4—81no—
1256C4⋊C4—81no—
1257C4⋊C4H(5,𝔽2)12yes—
1258C4⋊C4H(5,𝔽2)12yes—
1259C4⋊C4H(5,𝔽2)12yes—
1260C4⋊C4H(5,𝔽2)12yes—
1261C22⋊C4—24no—
1262C22⋊C4—24no—
1263C22⋊C4—24no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—42no—
1277C22⋊C4—42no—
1278C22⋊C4—42no—
1279C22⋊C4—42no—
1280C22⋊C4—42no—
1281C22⋊C4—42no—
1282C22⋊C4—42no—
1283C22⋊C4—42no—
1284C22⋊C4—42no—
1285C22⋊C4—42no—
1286C22⋊C4—42no—
1287C22⋊C4—42no—
1288C22⋊C4—42no—
1289C22⋊C4—42no—
1290C22⋊C4—42no—
1291C22⋊C4—42no—
1292C22⋊C4—42no—
1293C22⋊C4—42no—
1294C22⋊C4—42no—
1295C22⋊C4—42no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—81no—
1300C22⋊C4—81no—
1301C22⋊C4—81no—
1302C22⋊C4—81no—
1303C22⋊C4—81no—
1304C22⋊C4—81no—
1305C22⋊C4—81no—
1306C22⋊C4—81no—
1307C22⋊C4—81no—
1308C22⋊C4—81no—
1309C22⋊C4—81no—
1310C22⋊C4—81no—
1311C22⋊C4—81no—
1312C22⋊C4—81no—
1313C22⋊C4—81no—
1314C42—24no—
1315C42—21no—
1316C42—21no—
1317C42—21no—
1318C42—21no—
1319C42—21no—
1320C42—21no—
1321C42—42no—
1322C42—42no—
1323C42—81no—
1324C42—81no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—22no—
1347C23—22no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—44no—
1353C23—44no—
1354C23—41no—
1355C23—41no—
1356C23—41no—
1357C23—41no—
1358C23—41no—
1359C23—41no—
1360C23—41no—
1361C23—41no—
1362C23—41no—
1363C23—41no—
1364C23—41no—
1365C23—41no—
1366C23—41no—
1367C23—41no—
1368C23—41no—
1369C23—41no—
1370C23—41no—
1371C23—41no—
1372C23—41no—
1373C23—41no—
1374C23—41no—
1375C23—41no—
1376C23—41no—
1377C23—41no—
1378C23—41no—
1379C23—41no—
1380C23—41no—
1381C23—41no—
1382C23—41no—
1383C23—41no—
1384C23—41no—
1385C23—41no—
1386C23—41no—
1387C23—82no—
1388C23—82no—
1389C23—82no—
1390C23—84no—
1391C23—84no—
1392C23—84no—
1393C23—84no—
1394C23—84no—
1395C23—84no—
1396C23—82no—
1397C23—82no—
1398C23—84no—
1399C23—84no—
1400C23—84no—
1401C23—84no—
1402C23—84no—
1403C23—162no—
1404C23—162no—
1405C23—162no—
1406C23—162no—
1407C23—162no—
1408C23—162no—
1409C23—162no—
1410C23—162no—
1411C23—162no—
1412C23—162no—
1413C23C2×AGL(1,ℤ/8)12yes—
1414C23C2×AGL(1,ℤ/8)12yes—
1415C23#57712yes—
1416C23C23×D411yescharacteristic
1417Q8—41no—
1418Q8—41no—
1419Q8—41no—
1420Q8—41no—
1421Q8—41no—
1422Q8—41no—
1423Q8—41no—
1424Q8—41no—
1425D4—22no—
1426D4—22no—
1427D4—22no—
1428D4—22no—
1429D4—44no—
1430D4—44no—
1431D4—48no—
1432D4—48no—
1433D4—41no—
1434D4—41no—
1435D4—41no—
1436D4—41no—
1437D4—41no—
1438D4—41no—
1439D4—41no—
1440D4—41no—
1441D4—41no—
1442D4—41no—
1443D4—41no—
1444D4—41no—
1445D4—41no—
1446D4—41no—
1447D4—41no—
1448D4—41no—
1449D4—84no—
1450D4—82no—
1451D4—84no—
1452D4—84no—
1453D4—84no—
1454D4—84no—
1455D4—84no—
1456D4—84no—
1457D4—84no—
1458D4—84no—
1459D4—84no—
1460D4—84no—
1461D4—84no—
1462D4—84no—
1463D4—84no—
1464D4—84no—
1465D4—84no—
1466D4—162no—
1467D4—162no—
1468D4—162no—
1469D4—162no—
1470D4—162no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
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—41no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—41no—
1510C2×C4—41no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—41no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—41no—
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—84no—
1550C2×C4—82no—
1551C2×C4—82no—
1552C2×C4—82no—
1553C2×C4—84no—
1554C2×C4—84no—
1555C2×C4—84no—
1556C2×C4—84no—
1557C2×C4—84no—
1558C2×C4C2×AGL(1,ℤ/8)12yes—
1559C2×C4C2×H(5,𝔽2)11yescharacteristic
1560C2×C4C2×H(5,𝔽2)11yescharacteristic
1561C2×C4C2×H(5,𝔽2)11yescharacteristic
1562C2×C4C2×H(5,𝔽2)11yescharacteristic
1563C2×C4C2×H(5,𝔽2)11yescharacteristic
1564C2×C4C2×H(5,𝔽2)11yescharacteristic
1565C8—41no—
1566C8—41no—
1567C8—41no—
1568C8—41no—
1569C8—41no—
1570C8—41no—
1571C8—41no—
1572C8—41no—
1573C22—22no—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—42no—
1595C22—41no—
1596C22—41no—
1597C22—42no—
1598C22—42no—
1599C22—41no—
1600C22—42no—
1601C22—41no—
1602C22—41no—
1603C22—42no—
1604C22—41no—
1605C22—42no—
1606C22—41no—
1607C22—88no—
1608C22—81no—
1609C22—81no—
1610C22—81no—
1611C22—81no—
1612C22—81no—
1613C22—81no—
1614C22—81no—
1615C22—81no—
1616C22—81no—
1617C22—81no—
1618C22—81no—
1619C22—81no—
1620C22—81no—
1621C22—81no—
1622C22—81no—
1623C22—81no—
1624C22—81no—
1625C22—81no—
1626C22—81no—
1627C22—81no—
1628C22—81no—
1629C22—81no—
1630C22—81no—
1631C22—81no—
1632C22—81no—
1633C22—81no—
1634C22—81no—
1635C22—81no—
1636C22—81no—
1637C22—168no—
1638C22—168no—
1639C22—168no—
1640C22#348411yescharacteristic
1641C22#348411yescharacteristic
1642C22#348411yescharacteristic
1643C22C22×AGL(1,ℤ/8)11yescharacteristic
1644C22C2×#57711yescharacteristic
1645C22#358411yescharacteristic
1646C22#358511yescharacteristic
1647C4—22no—
1648C4—42no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—42no—
1655C4—41no—
1656C4—42no—
1657C4—41no—
1658C4—42no—
1659C4—41no—
1660C4—41no—
1661C4—81no—
1662C4—81no—
1663C4—81no—
1664C4—81no—
1665C4—81no—
1666C4—81no—
1667C4—81no—
1668C4#353711yescharacteristic
1669C4#354311yescharacteristic
1670C4#354311yescharacteristic
1671C4#354911yescharacteristic
1672C2—42no—
1673C2—42no—
1674C2—42no—
1675C2—81no—
1676C2—82no—
1677C2—82no—
1678C2—161no—
1679C2—161no—
1680C2—161no—
1681C2#4954511yescharacteristic
1682C2#6157111yescharacteristic
1683C2#6159811yescharacteristic
1684C2#6160011yescharacteristic
1685C2#6162111yescharacteristic
1686C2#6162811yescharacteristic
1687C2#6164011yescharacteristic
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. #58997C2semidirect
2. #39887C2semidirect
3. #31734C2semidirect
4. #31718C2semidirect
5. #31063C2semidirect
6. #30715C2semidirect
7. #30705C2semidirect
8. #30547C2semidirect
9. #30539C2semidirect
10. #30505C2semidirect
11. #30472C2semidirect
12. #30471C2semidirect
13. #30456C2semidirect
14. #30454C2semidirect
15. #29598C2semidirect
16. #29596C2semidirect
17. #27418C2semidirect
18. #27399C2semidirect
19. #26945C2semidirect
20. #26944C2semidirect
21. #26736C2semidirect
22. #26723C2semidirect
23. #25763C2semidirect
24. #25753C2semidirect
25. #25583C2semidirect
26. #24432C2semidirect
27. #24424C2semidirect
28. #23966C2semidirect
29. #23920C2semidirect
30. #23920C2semidirect
31. #23307C2semidirect
32. C2×#552C22semidirect
36. C2×#525C22semidirect
39. C2×#496C22semidirect
40. C2×#492C22semidirect
41. C2×#490C22semidirect
42. C2×#484C22semidirect
43. C2×#483C22semidirect
44. C2×#466C22semidirect
45. C2×#465C22semidirect
46. C2×#460C22semidirect
47. C2×#463C22semidirect
48. C2×#461C22semidirect
49. C2×#449C22semidirect
50. C2×#449C22semidirect
51. C2×#449C22semidirect
52. C2×#449C22semidirect
53. C2×#450C22semidirect
54. C2×#450C22semidirect
55. C2×#450C22semidirect
56. C2×#450C22semidirect
57. C2×#450C22semidirect
58. C2×#450C22semidirect
59. C2×#447C22semidirect
60. C2×#447C22semidirect
61. C2×#447C22semidirect
62. C22×#102C22semidirect
63. #2848C22semidirect
73. #2542C22semidirect
75. #2540C22semidirect
76. #2490C22semidirect
77. #2489C22semidirect
80. #2432C22semidirect
81. #2429C22semidirect
84. #2426C22semidirect
87. #2417C22semidirect
90. #2416C22semidirect
94. #2407C22semidirect
98. #2347C22semidirect
101. #2088C22semidirect
102. #2086C22semidirect
103. #2055C22semidirect
104. #2055C22semidirect
105. #2054C22semidirect
106. #2054C22semidirect
107. #2043C22semidirect
108. #2042C22semidirect
109. #2041C22semidirect
110. #2041C22semidirect
111. #2035C22semidirect
113. #2034C22semidirect
114. #2034C22semidirect
115. #2034C22semidirect
117. #2033C22semidirect
118. #2033C22semidirect
119. #2033C22semidirect
120. #2033C22semidirect
121. #2025C22semidirect
122. #2025C22semidirect
123. #2014C22semidirect
124. #2014C22semidirect
125. #2013C22semidirect
126. #2012C22semidirect
127. #2011C22semidirect
128. #2011C22semidirect
133. #2000C22semidirect
134. #2000C22semidirect
135. #2000C22semidirect
136. #2000C22semidirect
137. #2000C22semidirect
138. #2000C22semidirect
139. #2000C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
146. #1999C22semidirect
147. #1999C22semidirect
148. #1999C22semidirect
149. #1989C22semidirect
150. #1982C22semidirect
151. #1982C22semidirect
152. #1973C22semidirect
153. #1972C22semidirect
154. #1955C22semidirect
155. #1955C22semidirect
156. #1954C22semidirect
157. #1936C22semidirect
158. #1935C22semidirect
159. #1934C22semidirect
160. #1934C22semidirect
161. #1928C22semidirect
162. #1926C22semidirect
163. #1926C22semidirect
164. #1925C22semidirect
165. #1924C22semidirect
166. #1924C22semidirect
167. #1924C22semidirect
168. #1924C22semidirect
169. #1923C22semidirect
170. #1923C22semidirect
171. #1921C22semidirect
172. #1919C22semidirect
173. #1892C22semidirect
174. #1880C22semidirect
175. #1880C22semidirect
176. #1879C22semidirect
177. #1877C22semidirect
178. #1875C22semidirect
179. #1875C22semidirect
180. #1875C22semidirect
181. #1875C22semidirect
182. #1874C22semidirect
183. #1874C22semidirect
184. #1874C22semidirect
185. #1874C22semidirect
186. #1872C22semidirect
187. #1872C22semidirect
188. #1869C22semidirect
189. #1869C22semidirect
190. #1869C22semidirect
191. #1864C22semidirect
192. #1862C22semidirect
193. #1824C22semidirect
194. #1823C22semidirect
195. #1823C22semidirect
196. #1786C22semidirect
197. #1786C22semidirect
198. #1779C22semidirect
199. #1779C22semidirect
200. #1763C22semidirect
201. #1762C22semidirect
202. C4×#102C22semidirect

Maximal subgroups

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

subgroupindex
#589972
#398872
#317342
#317182
#310632
#307152
#307052
#305472
#305392
#305052
#304722
#304712
#304562
#304542
#295982
#295962
#274182
#273992
#269452
#269442
#267362
#267232
#257632
#257532
#255832
#244322
#244242
#239662
#239202
#233072