Finite Group Databasebeta

← #7361308

Subgroups — #7361308

Order 512.

2238 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58999C211yesmaximal, characteristic, complemented
2#39339C211yesmaximal, characteristic, complemented
3#31727C211yesmaximal, characteristic, complemented
4#31726C211yesmaximal, characteristic, complemented
5#31063C211yesmaximal, characteristic, complemented
6#30732C211yesmaximal, characteristic, complemented
7#30730C211yesmaximal, characteristic, complemented
8#30545C211yesmaximal, characteristic, complemented
9#30544C211yesmaximal, characteristic, complemented
10#30511C211yesmaximal, characteristic, complemented
11#30456C211yesmaximal, characteristic, complemented
12#30454C211yesmaximal, characteristic, complemented
13#30447C211yesmaximal, characteristic, complemented
14#30444C211yesmaximal, characteristic, complemented
15#29600C211yesmaximal, characteristic, complemented
16#29600C211yesmaximal, characteristic, complemented
17#27392C211yesmaximal, characteristic, complemented
18#27390C211yesmaximal, characteristic, complemented
19#26954C211yesmaximal, characteristic, complemented
20#26950C211yesmaximal, characteristic, complemented
21#26733C211yesmaximal, characteristic, complemented
22#26729C211yesmaximal, characteristic, complemented
23#25759C211yesmaximal, characteristic, complemented
24#25754C211yesmaximal, characteristic, complemented
25#25577C211yesmaximal, characteristic, complemented
26#24454C211yesmaximal, characteristic, complemented
27#24451C211yesmaximal, characteristic, complemented
28#23972C211yesmaximal, characteristic, complemented
29#23920C211yesmaximal, characteristic, complemented
30#23920C211yesmaximal, characteristic, complemented
31#23308C211yesmaximal, characteristic, complemented
32C2×#550C2211yescharacteristic, complemented
33C2×#547C2211yescharacteristic
34C2×#547C2211yescharacteristic, complemented
35C2×#535—21no—
36C2×#525C2211yescharacteristic
37C2×#525C2211yescharacteristic
38C22×#121C2211yescharacteristic
39C2×#493C2211yescharacteristic, complemented
40C2×#492C2211yescharacteristic, complemented
41C2×#489C2211yescharacteristic, complemented
42C2×#482C2211yescharacteristic, complemented
43C2×#482C2211yescharacteristic, complemented
44C2×#469C2211yescharacteristic, complemented
45C2×#468C2211yescharacteristic, complemented
46C2×#460C2211yescharacteristic, complemented
47C2×#463C2211yescharacteristic, complemented
48C2×#459C2211yescharacteristic, complemented
49C2×#449C2211yescharacteristic
50C2×#449C2211yescharacteristic
51C2×#449C2211yescharacteristic
52C2×#449C2211yescharacteristic
53C2×#449C2211yescharacteristic, complemented
54C2×#449C2211yescharacteristic, complemented
55C2×#449C2211yescharacteristic, complemented
56C2×#449C2211yescharacteristic, complemented
57C2×#449C2211yescharacteristic, complemented
58C2×#450C2211yescharacteristic
59C2×#450C2211yescharacteristic
60C2×#447C2211yescharacteristic
61C2×#447C2211yescharacteristic
62C2×#417C2211yescharacteristic, complemented
63#2847C2211yescharacteristic
64#2678—21no—
65#2676—21no—
66#2676—21no—
67#2673—21no—
68#2673—21no—
69#2669—21no—
70#2613—21no—
71#2541C2211yescharacteristic
72#2541C2211yescharacteristic
73#2540C2211yescharacteristic
74#2491C2211yescharacteristic
75#2491C2211yescharacteristic
76#2464—21no—
77#2456—21no—
78#2455—21no—
79#2445—21no—
80#2443—21no—
81#2433C2211yescharacteristic
82#2432C2211yescharacteristic, complemented
83#2431C2211yescharacteristic, complemented
84#2429C2211yescharacteristic
85#2428C2211yescharacteristic
86#2428C2211yescharacteristic
87#2428C2211yescharacteristic
88#2416C2211yescharacteristic
89#2416C2211yescharacteristic
90#2415C2211yescharacteristic, complemented
91#2414C2211yescharacteristic, complemented
92#2411—21no—
93#2408C2211yescharacteristic
94#2407C2211yescharacteristic
95#2404—21no—
96#2363C2211yescharacteristic, complemented
97#2362C2211yescharacteristic, complemented
98#2361—21no—
99#2344C2211yescharacteristic
100C4×#120C2211yescharacteristic
101#2088C2211yescharacteristic, complemented
102#2086C2211yescharacteristic, complemented
103#2055C2211yescharacteristic, complemented
104#2055C2211yescharacteristic, complemented
105#2054C2211yescharacteristic, complemented
106#2054C2211yescharacteristic, complemented
107#2043C2211yescharacteristic, complemented
108#2041C2211yescharacteristic, complemented
109#2041C2211yescharacteristic, complemented
110#2041C2211yescharacteristic, complemented
111#2036C2211yescharacteristic, complemented
112#2036C2211yescharacteristic, complemented
113#2035C2211yescharacteristic
114#2035C2211yescharacteristic
115#2034C2211yescharacteristic, complemented
116#2034C2211yescharacteristic, complemented
117#2034C2211yescharacteristic, complemented
118#2033C2211yescharacteristic
119#2033C2211yescharacteristic
120#2033C2211yescharacteristic, complemented
121#2024C2211yescharacteristic, complemented
122#2023C2211yescharacteristic, complemented
123#2014C2211yescharacteristic, complemented
124#2013C2211yescharacteristic, complemented
125#2012C2211yescharacteristic, complemented
126#2012C2211yescharacteristic, complemented
127#2011C2211yescharacteristic, complemented
128#2011C2211yescharacteristic, complemented
129#2000C2211yescharacteristic
130#2000C2211yescharacteristic
131#2000C2211yescharacteristic
132#2000C2211yescharacteristic
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic, complemented
136#2000C2211yescharacteristic, complemented
137#2000C2211yescharacteristic, complemented
138#2000C2211yescharacteristic, complemented
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic
145#1999C2211yescharacteristic, complemented
146#1999C2211yescharacteristic, complemented
147#1999C2211yescharacteristic, complemented
148#1999C2211yescharacteristic, complemented
149#1987C2211yescharacteristic, complemented
150#1982C2211yescharacteristic, complemented
151#1981C2211yescharacteristic, complemented
152#1973C2211yescharacteristic, complemented
153#1972C2211yescharacteristic, complemented
154#1955C2211yescharacteristic
155#1954C2211yescharacteristic, complemented
156#1954C2211yescharacteristic, complemented
157#1934C2211yescharacteristic, complemented
158#1934C2211yescharacteristic, complemented
159#1934C2211yescharacteristic, complemented
160#1933C2211yescharacteristic, complemented
161#1927C2211yescharacteristic, complemented
162#1926C2211yescharacteristic, complemented
163#1925C2211yescharacteristic, complemented
164#1925C2211yescharacteristic, complemented
165#1924C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1923C2211yescharacteristic
168#1923C2211yescharacteristic
169#1923C2211yescharacteristic, complemented
170#1923C2211yescharacteristic, complemented
171#1920C2211yescharacteristic, complemented
172#1918C2211yescharacteristic, complemented
173#1895C2211yescharacteristic, complemented
174#1880C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1875C2211yescharacteristic
179#1875C2211yescharacteristic
180#1875C2211yescharacteristic
181#1875C2211yescharacteristic
182#1874C2211yescharacteristic
183#1874C2211yescharacteristic
184#1874C2211yescharacteristic, complemented
185#1872C2211yescharacteristic
186#1872C2211yescharacteristic
187#1872C2211yescharacteristic, complemented
188#1870C2211yescharacteristic
189#1870C2211yescharacteristic, complemented
190#1870C2211yescharacteristic, complemented
191#1865C2211yescharacteristic, complemented
192#1862C2211yescharacteristic, complemented
193#1825C2211yescharacteristic, complemented
194#1825C2211yescharacteristic, complemented
195#1824C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1779C2211yescharacteristic
199#1779C2211yescharacteristic
200#1762C2211yescharacteristic, complemented
201C4×#103C2211yescharacteristic, complemented
202C4×#102C2211yescharacteristic, complemented
203C22×#41—21no—
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4—21no—
208C23×D4C2311yescharacteristic
209C24×C4C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×M16C2311yescharacteristic
223#550—42no—
224#550—42no—
225#547—42no—
226#547—42no—
227#547—42no—
228#547—42no—
229#535—48no—
230C2×C4⋊Q8C2311yescharacteristic
231C2×C4⋊Q8C2311yescharacteristic
232C2×#127—21no—
233C2×#127—21no—
234C2×#127—21no—
235C2×#127C2311yescharacteristic
236C2×#127C2311yescharacteristic
237C2×#127C2311yescharacteristic
238C2×#124—21no—
239C2×#124—21no—
240C2×#124C2311yescharacteristic
241#525—42no—
242#525—42no—
243#525—42no—
244#525—42no—
245C2×#123—21no—
246C2×#123—21no—
247C2×#123—21no—
248C2×#123—21no—
249C2×#123—21no—
250C2×#123—21no—
251C2×C22⋊Q8—21no—
252C2×C22⋊Q8C2311yescharacteristic
253C2×C22⋊Q8C2311yescharacteristic
254C2×C22⋊Q8C2311yescharacteristic
255C2×C22⋊Q8C2311yescharacteristic
256C2×C22⋊Q8C2311yescharacteristic
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—42no—
268C2×#121—42no—
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#120—21no—
285C2×#120—21no—
286C2×#120—21no—
287C2×#120—21no—
288C2×#120—21no—
289C2×#120—21no—
290C2×#120D411yescharacteristic
291C2×C4×Q8C2311yescharacteristic
292C2×C4×D4—21no—
293C2×C4×D4—21no—
294C2×C4×D4—21no—
295C2×C4×D4—21no—
296C2×C4×D4—21no—
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×#117—21no—
303C2×#117C2311yescharacteristic
304C2×#117C2311yescharacteristic
305C22×C4⋊C4—21no—
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C22⋊C4—21no—
309#493—42no—
310#492—42no—
311#489—42no—
312#482—42no—
313#482—42no—
314#469—42no—
315#468—42no—
316#463—42no—
317#460—42no—
318#459—42no—
319#450—42no—
320#450—42no—
321#449—42no—
322#449—42no—
323#449—42no—
324#449—42no—
325#449—42no—
326#449—42no—
327#449—42no—
328#449—42no—
329#449—42no—
330#447—42no—
331#447—42no—
332C2×#107C2311yescharacteristic
333C2×#107C2311yescharacteristic
334C2×#106C2311yescharacteristic
335C2×#106C2311yescharacteristic
336C2×C4⋊C8C2311yescharacteristic
337C2×C4⋊C8C2311yescharacteristic
338C2×C4⋊C8C2311yescharacteristic
339#417—42no—
340C2×#103C2311yescharacteristic
341C2×#103C2311yescharacteristic
342C2×#103C2311yescharacteristic
343C2×#103C2311yescharacteristic
344C2×#103C2311yescharacteristic
345C2×#103C2311yescharacteristic
346C2×#103C2311yescharacteristic
347C2×#103C2311yescharacteristic
348C2×#103C2311yescharacteristic
349C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
387C2×#97C2311yescharacteristic
388C2×C4×C8C2311yescharacteristic
389C2×C4×C8C2311yescharacteristic
390#399—21no—
391#398—21no—
392#397—21no—
393#396—21no—
394#396—21no—
395#396—21no—
396#394—21no—
397#394—21no—
398#394—21no—
399#394—21no—
400#394—21no—
401#394—21no—
402#394—21no—
403#394—21no—
404#394—21no—
405#394—21no—
406#394—21no—
407#394—21no—
408#394—21no—
409#393—21no—
410#393—21no—
411#392—21no—
412#392—21no—
413#392—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#392—21no—
426#391C2311yescharacteristic
427#391C2311yescharacteristic
428#390—21no—
429#390—21no—
430#390—21no—
431#390—21no—
432#390—21no—
433#390—21no—
434#390C2311yescharacteristic
435#390C2311yescharacteristic
436#390C2311yescharacteristic
437#390C2311yescharacteristic
438#390C2311yescharacteristic
439#390C2311yescharacteristic
440#389—21no—
441#389—21no—
442#389C2311yescharacteristic
443#389C2311yescharacteristic
444#389C2311yescharacteristic
445#389C2311yescharacteristic
446#388—21no—
447#388—21no—
448#388—21no—
449#388—21no—
450#388—21no—
451#388—21no—
452#388—21no—
453#388—21no—
454#387—21no—
455#387—21no—
456#387—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#386D411yescharacteristic
470#386D411yescharacteristic
471#386D411yescharacteristic
472#385—21no—
473#385—21no—
474#385—21no—
475#385D411yescharacteristic
476#385D411yescharacteristic
477#385D411yescharacteristic
478#381—21no—
479#380C2311yescharacteristic
480#380C2311yescharacteristic
481#380C2311yescharacteristic
482#380C2311yescharacteristic
483#379—21no—
484#379D411yescharacteristic
485C4×C4⋊C4—21no—
486C4×C4⋊C4C2311yescharacteristic
487C4×C4⋊C4C2311yescharacteristic
488C4×C4⋊C4C2311yescharacteristic
489C4×C22⋊C4—21no—
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—
516C25C2×D411yescharacteristic
517C2×#41—22no—
518C2×#41—22no—
519C2×#41—22no—
520C2×#41—22no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—41no—
525C2×#41—41no—
526C2×#41—41no—
527C2×#41—41no—
528C2×#41—41no—
529C2×#41—44no—
530C2×#41—41no—
531C2×#41—41no—
532C2×#41—41no—
533C2×#41—41no—
534C2×#41—41no—
535C2×#41—41no—
536C2×#41—44no—
537C2×#41—82no—
538C22×Q8—21no—
539C22×Q8C2411yescharacteristic
540C22×Q8C2411yescharacteristic
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4—41no—
569C22×D4—41no—
570C22×D4—41no—
571C22×D4—41no—
572C22×D4—44no—
573C22×D4—44no—
574C22×D4—82no—
575C22×D4C2×D411yescharacteristic
576C22×D4C2×D411yescharacteristic
577C22×D4C2×D411yescharacteristic
578C22×D4C2411yescharacteristic
579C22×D4C2411yescharacteristic
580C22×D4C2411yescharacteristic
581C22×D4C2411yescharacteristic
582C22×D4C2411yescharacteristic
583C23×C4—21no—
584C23×C4—21no—
585C23×C4—21no—
586C23×C4—21no—
587C23×C4—21no—
588C23×C4—21no—
589C23×C4—21no—
590C23×C4—41no—
591C23×C4—41no—
592C23×C4—41no—
593C23×C4—41no—
594C23×C4—41no—
595C23×C4—41no—
596C23×C4C2×D411yescharacteristic
597C23×C4C2×D411yescharacteristic
598C23×C4C2×D411yescharacteristic
599C23×C4C2411yescharacteristic
600C23×C4C2411yescharacteristic
601C23×C4C2411yescharacteristic
602C23×C4C2411yescharacteristic
603C2×SD16—22no—
604C2×SD16—22no—
605C2×SD16—22no—
606C2×SD16—41no—
607C2×SD16—41no—
608C2×SD16—41no—
609C2×SD16—41no—
610C2×SD16—41no—
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×D8—22no—
622C2×D8—22no—
623C2×D8—22no—
624C2×D8—41no—
625C2×D8—41no—
626C2×D8—41no—
627C2×D8—41no—
628C2×D8—41no—
629C2×D8—41no—
630C2×D8—41no—
631C2×D8—41no—
632C2×D8—41no—
633C2×D8—41no—
634C2×D8—41no—
635C2×D8—41no—
636C2×D8—41no—
637C2×D8—41no—
638C2×D8—41no—
639C2×M16—41no—
640C2×M16—41no—
641C2×M16—41no—
642C22×C8C2411yescharacteristic
643C22×C8C2411yescharacteristic
644C22×C8C2411yescharacteristic
645C22×C8C2411yescharacteristic
646C22×C8C2411yescharacteristic
647C22×C8C2411yescharacteristic
648C22×C8C2411yescharacteristic
649C22×C8C2411yescharacteristic
650C4⋊Q8—22no—
651C4⋊Q8—22no—
652C4⋊Q8—41no—
653C4⋊Q8—41no—
654#127—22no—
655#127—41no—
656#127—41no—
657#127—41no—
658#127—41no—
659#127—41no—
660#127—44no—
661#127—44no—
662#127—44no—
663#124—41no—
664#124—41no—
665#124—44no—
666#124—44no—
667#123—44no—
668#123—44no—
669#123—44no—
670#123—44no—
671#123—44no—
672#123—44no—
673C22⋊Q8—22no—
674C22⋊Q8—22no—
675C22⋊Q8—22no—
676C22⋊Q8—22no—
677C22⋊Q8—22no—
678C22⋊Q8—41no—
679C22⋊Q8—41no—
680C22⋊Q8—41no—
681C22⋊Q8—41no—
682C22⋊Q8—41no—
683C22⋊Q8—44no—
684#121—22no—
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—44no—
695#121—44no—
696#121—44no—
697#121—44no—
698#121—41no—
699#121—41no—
700#121—41no—
701#121—41no—
702#121—41no—
703#121—41no—
704#121—41no—
705#121—41no—
706#121—41no—
707#121—41no—
708#121—41no—
709#121—41no—
710#121—44no—
711#121—44no—
712#121—44no—
713#121—44no—
714#121—44no—
715#121—44no—
716#121—41no—
717#121—41no—
718#121—41no—
719#121—41no—
720#121—41no—
721#121—41no—
722#121—41no—
723#121—41no—
724#120—24no—
725#120—44no—
726#120—44no—
727#120—44no—
728#120—44no—
729#120—44no—
730#120—82no—
731C4×Q8—22no—
732C4×Q8—41no—
733C4×D4—22no—
734C4×D4—22no—
735C4×D4—41no—
736C4×D4—41no—
737C4×D4—41no—
738C4×D4—41no—
739C4×D4—41no—
740C4×D4—41no—
741C4×D4—41no—
742C4×D4—41no—
743C4×D4—44no—
744C4×D4—44no—
745C4×D4—44no—
746C4×D4—44no—
747C4×D4—44no—
748#117—22no—
749#117—22no—
750#117—41no—
751#117—41no—
752#117—44no—
753C2×C4⋊C4—21no—
754C2×C4⋊C4—21no—
755C2×C4⋊C4—22no—
756C2×C4⋊C4—22no—
757C2×C4⋊C4—22no—
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—41no—
772C2×C4⋊C4—44no—
773C2×C4⋊C4C2×D411yescharacteristic
774C2×C4⋊C4C2×D411yescharacteristic
775C2×C4⋊C4C2×D411yescharacteristic
776C2×C4⋊C4C2411yescharacteristic
777C2×C4⋊C4C2411yescharacteristic
778C2×C4⋊C4C2411yescharacteristic
779C2×C4⋊C4C2411yescharacteristic
780C2×C4⋊C4C2411yescharacteristic
781C2×C4⋊C4C2411yescharacteristic
782C2×C4⋊C4C2411yescharacteristic
783C2×C4⋊C4C2411yescharacteristic
784C2×C4⋊C4C2411yescharacteristic
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
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—44no—
828C2×C22⋊C4C2×D411yescharacteristic
829C2×C22⋊C4C2×D411yescharacteristic
830C2×C22⋊C4C2×D411yescharacteristic
831C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
841C2×C42—21no—
842C2×C42—21no—
843C2×C42—21no—
844C2×C42—21no—
845C2×C42—21no—
846C2×C42C2411yescharacteristic
847C2×C42C2411yescharacteristic
848C2×C42C2411yescharacteristic
849#107—22no—
850#107—41no—
851#106—22no—
852#106—41no—
853C4⋊C8—41no—
854C4⋊C8—41no—
855C4⋊C8—41no—
856#103—22no—
857#103—22no—
858#103—22no—
859#103—22no—
860#103—22no—
861#103—41no—
862#103—41no—
863#103—41no—
864#103—41no—
865#103—41no—
866#102—22no—
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—41no—
878#102—41no—
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—
888C22⋊C8—41no—
889C22⋊C8—41no—
890C22⋊C8—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—
903#97—41no—
904C4×C8—41no—
905C4×C8—41no—
906#95—21no—
907#95—21no—
908#95—21no—
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#95C2×D411yescharacteristic
922#95C2×D411yescharacteristic
923#95C2×D411yescharacteristic
924#95C2×D411yescharacteristic
925#95C2×D411yescharacteristic
926#95C2×D411yescharacteristic
927C24—21no—
928C24—22no—
929C24—21no—
930C24—21no—
931C24—21no—
932C24—21no—
933C24—41no—
934C24—41no—
935C24—41no—
936C24—41no—
937C24—41no—
938C24—41no—
939C24—42no—
940C24—42no—
941C24—42no—
942C24—81no—
943C24—81no—
944C24—81no—
945C24—81no—
946C24C22×D411yescharacteristic
947C24C22×D411yescharacteristic
948C24C22×D411yescharacteristic
949C24C22×D411yescharacteristic
950#41—44no—
951#41—82no—
952#41—82no—
953#41—82no—
954#41—82no—
955#41—82no—
956#41—82no—
957#41—82no—
958#41—82no—
959#41—82no—
960#41—82no—
961#41—82no—
962#41—816no—
963C2×Q8—21no—
964C2×Q8—21no—
965C2×Q8—21no—
966C2×Q8—21no—
967C2×Q8—21no—
968C2×Q8—21no—
969C2×Q8—21no—
970C2×Q8—21no—
971C2×Q8—21no—
972C2×Q8—21no—
973C2×Q8—21no—
974C2×Q8—42no—
975C2×Q8—42no—
976C2×Q8—81no—
977C2×Q8H(5,𝔽2)12yes—
978C2×D4—22no—
979C2×D4—24no—
980C2×D4—22no—
981C2×D4—22no—
982C2×D4—21no—
983C2×D4—21no—
984C2×D4—21no—
985C2×D4—21no—
986C2×D4—21no—
987C2×D4—21no—
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—41no—
1012C2×D4—41no—
1013C2×D4—41no—
1014C2×D4—41no—
1015C2×D4—41no—
1016C2×D4—41no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
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—42no—
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—81no—
1053C2×D4—81no—
1054C2×D4—81no—
1055C2×D4—81no—
1056C2×D4—81no—
1057C2×D4—81no—
1058C2×D4—81no—
1059C2×D4—81no—
1060C2×D4—81no—
1061C2×D4—81no—
1062C2×D4—81no—
1063C2×D4—81no—
1064C2×D4—81no—
1065C2×D4—81no—
1066C2×D4—81no—
1067C2×D4—82no—
1068C2×D4—82no—
1069C2×D4—82no—
1070C2×D4—82no—
1071C2×D4—81no—
1072C2×D4—81no—
1073C2×D4—81no—
1074C2×D4—81no—
1075C2×D4—81no—
1076C2×D4—81no—
1077C2×D4—81no—
1078C2×D4—81no—
1079C2×D4—81no—
1080C2×D4—81no—
1081C2×D4—81no—
1082C2×D4—81no—
1083C2×D4—81no—
1084C2×D4—81no—
1085C2×D4—816no—
1086C2×D4—81no—
1087C2×D4—81no—
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×D4H(5,𝔽2)12yes—
1097C22×C4—24no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
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—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—42no—
1143C22×C4—42no—
1144C22×C4—42no—
1145C22×C4—42no—
1146C22×C4—42no—
1147C22×C4—42no—
1148C22×C4—42no—
1149C22×C4—42no—
1150C22×C4—42no—
1151C22×C4—42no—
1152C22×C4—42no—
1153C22×C4—42no—
1154C22×C4—42no—
1155C22×C4—42no—
1156C22×C4—81no—
1157C22×C4—81no—
1158C22×C4—81no—
1159C22×C4—81no—
1160C22×C4—81no—
1161C22×C4—82no—
1162C22×C4—82no—
1163C22×C4—82no—
1164C22×C4—82no—
1165C22×C4—81no—
1166C22×C4C22×D411yescharacteristic
1167C22×C4C22×D411yescharacteristic
1168C22×C4C22×D411yescharacteristic
1169C22×C4C22×D411yescharacteristic
1170C22×C4C22×D411yescharacteristic
1171C22×C4C22×D411yescharacteristic
1172C22×C4C22×D411yescharacteristic
1173C22×C4C22×D411yescharacteristic
1174C22×C4C22×D411yescharacteristic
1175C22×C4C22×D411yescharacteristic
1176C22×C4C2511yescharacteristic
1177SD16—82no—
1178SD16—82no—
1179SD16—82no—
1180SD16—82no—
1181SD16—82no—
1182SD16—82no—
1183D8—82no—
1184D8—82no—
1185D8—82no—
1186D8—82no—
1187D8—82no—
1188D8—82no—
1189M16—82no—
1190C2×C8—21no—
1191C2×C8—21no—
1192C2×C8—21no—
1193C2×C8—21no—
1194C2×C8—21no—
1195C2×C8—21no—
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—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—21no—
1217C4⋊C4—21no—
1218C4⋊C4—21no—
1219C4⋊C4—21no—
1220C4⋊C4—21no—
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—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—42no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—42no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—81no—
1246C4⋊C4H(5,𝔽2)12yes—
1247C4⋊C4H(5,𝔽2)12yes—
1248C4⋊C4H(5,𝔽2)12yes—
1249C4⋊C4H(5,𝔽2)12yes—
1250C22⋊C4—24no—
1251C22⋊C4—24no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—42no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4—42no—
1267C22⋊C4—42no—
1268C22⋊C4—42no—
1269C22⋊C4—42no—
1270C22⋊C4—42no—
1271C22⋊C4—42no—
1272C22⋊C4—42no—
1273C22⋊C4—42no—
1274C22⋊C4—42no—
1275C22⋊C4—42no—
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—81no—
1290C22⋊C4—81no—
1291C22⋊C4—81no—
1292C22⋊C4—81no—
1293C22⋊C4—81no—
1294C22⋊C4—81no—
1295C22⋊C4—81no—
1296C22⋊C4—81no—
1297C22⋊C4—81no—
1298C22⋊C4—81no—
1299C22⋊C4—81no—
1300C22⋊C4—81no—
1301C22⋊C4—81no—
1302C22⋊C4—81no—
1303C22⋊C4AGL(1,ℤ/8)14yes—
1304C42—21no—
1305C42—21no—
1306C42—21no—
1307C42—21no—
1308C42—21no—
1309C42—21no—
1310C42—42no—
1311C42—42no—
1312C42—42no—
1313C42—42no—
1314C42—42no—
1315C42—81no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—22no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—44no—
1345C23—41no—
1346C23—41no—
1347C23—41no—
1348C23—41no—
1349C23—41no—
1350C23—41no—
1351C23—41no—
1352C23—41no—
1353C23—41no—
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—82no—
1380C23—82no—
1381C23—84no—
1382C23—82no—
1383C23—82no—
1384C23—82no—
1385C23—82no—
1386C23—84no—
1387C23—84no—
1388C23—162no—
1389C23—162no—
1390C23—162no—
1391C23—162no—
1392C23C2×AGL(1,ℤ/8)12yes—
1393C23C23×D411yescharacteristic
1394Q8—22no—
1395Q8—22no—
1396Q8—41no—
1397Q8—41no—
1398Q8—41no—
1399Q8—41no—
1400Q8—41no—
1401Q8—41no—
1402Q8—84no—
1403D4—22no—
1404D4—22no—
1405D4—44no—
1406D4—41no—
1407D4—41no—
1408D4—41no—
1409D4—41no—
1410D4—41no—
1411D4—41no—
1412D4—41no—
1413D4—41no—
1414D4—41no—
1415D4—41no—
1416D4—41no—
1417D4—41no—
1418D4—41no—
1419D4—41no—
1420D4—41no—
1421D4—41no—
1422D4—41no—
1423D4—41no—
1424D4—82no—
1425D4—82no—
1426D4—84no—
1427D4—84no—
1428D4—84no—
1429D4—84no—
1430D4—84no—
1431D4—84no—
1432D4—84no—
1433D4—84no—
1434D4—84no—
1435D4—84no—
1436D4—84no—
1437D4—84no—
1438D4—84no—
1439D4—84no—
1440D4—84no—
1441D4—162no—
1442D4—162no—
1443D4—162no—
1444D4—162no—
1445D4—162no—
1446D4—162no—
1447D4—162no—
1448D4—162no—
1449D4—162no—
1450D4—162no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—48no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—41no—
1502C2×C4—41no—
1503C2×C4—41no—
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—84no—
1530C2×C4—82no—
1531C2×C4—82no—
1532C2×C4—82no—
1533C2×C4—84no—
1534C2×C4—84no—
1535C2×C4—84no—
1536C2×C4—84no—
1537C2×C4—84no—
1538C2×C4C2×AGL(1,ℤ/8)12yes—
1539C2×C4C2×AGL(1,ℤ/8)12yes—
1540C2×C4C2×H(5,𝔽2)11yescharacteristic
1541C2×C4C2×H(5,𝔽2)11yescharacteristic
1542C2×C4C2×H(5,𝔽2)11yescharacteristic
1543C2×C4C2×H(5,𝔽2)11yescharacteristic
1544C2×C4C2×H(5,𝔽2)11yescharacteristic
1545C2×C4C2×H(5,𝔽2)11yescharacteristic
1546C8—41no—
1547C8—41no—
1548C8—41no—
1549C8—41no—
1550C8—41no—
1551C8—41no—
1552C8—41no—
1553C8—41no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—42no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—42no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—42no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—88no—
1586C22—81no—
1587C22—81no—
1588C22—81no—
1589C22—81no—
1590C22—81no—
1591C22—81no—
1592C22—81no—
1593C22—81no—
1594C22—81no—
1595C22—81no—
1596C22—81no—
1597C22—81no—
1598C22—81no—
1599C22—81no—
1600C22—81no—
1601C22—81no—
1602C22—81no—
1603C22—81no—
1604C22—81no—
1605C22—81no—
1606C22—81no—
1607C22—81no—
1608C22—81no—
1609C22—81no—
1610C22—81no—
1611C22—81no—
1612C22—81no—
1613C22—81no—
1614C22—81no—
1615C22—81no—
1616C22—81no—
1617C22—81no—
1618C22—168no—
1619C22#348411yescharacteristic
1620C22#348411yescharacteristic
1621C22#348411yescharacteristic
1622C22C22×AGL(1,ℤ/8)11yescharacteristic
1623C22#358411yescharacteristic
1624C22#358411yescharacteristic
1625C22#358511yescharacteristic
1626C4—22no—
1627C4—22no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—42no—
1633C4—41no—
1634C4—42no—
1635C4—42no—
1636C4—42no—
1637C4—41no—
1638C4—42no—
1639C4—41no—
1640C4—41no—
1641C4—81no—
1642C4—81no—
1643C4—81no—
1644C4—81no—
1645C4—81no—
1646C4—81no—
1647C4#353711yescharacteristic
1648C4#354311yescharacteristic
1649C4#354311yescharacteristic
1650C4#354911yescharacteristic
1651C2—42no—
1652C2—81no—
1653C2—81no—
1654C2—81no—
1655C2—82no—
1656C2—161no—
1657C2—161no—
1658C2—161no—
1659C2—161no—
1660C2#4954511yescharacteristic
1661C2#6158211yescharacteristic
1662C2#6159811yescharacteristic
1663C2#6159811yescharacteristic
1664C2#6161411yescharacteristic
1665C2#6161611yescharacteristic
1666C2#6163711yescharacteristic
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. #58999C2semidirect
2. #39339C2semidirect
3. #31727C2semidirect
4. #31726C2semidirect
5. #31063C2semidirect
6. #30732C2semidirect
7. #30730C2semidirect
8. #30545C2semidirect
9. #30544C2semidirect
10. #30511C2semidirect
11. #30456C2semidirect
12. #30454C2semidirect
13. #30447C2semidirect
14. #30444C2semidirect
15. #29600C2semidirect
16. #29600C2semidirect
17. #27392C2semidirect
18. #27390C2semidirect
19. #26954C2semidirect
20. #26950C2semidirect
21. #26733C2semidirect
22. #26729C2semidirect
23. #25759C2semidirect
24. #25754C2semidirect
25. #25577C2semidirect
26. #24454C2semidirect
27. #24451C2semidirect
28. #23972C2semidirect
29. #23920C2semidirect
30. #23920C2semidirect
31. #23308C2semidirect
32. C2×#550C22semidirect
34. C2×#547C22semidirect
39. C2×#493C22semidirect
40. C2×#492C22semidirect
41. C2×#489C22semidirect
42. C2×#482C22semidirect
43. C2×#482C22semidirect
44. C2×#469C22semidirect
45. C2×#468C22semidirect
46. C2×#460C22semidirect
47. C2×#463C22semidirect
48. C2×#459C22semidirect
53. C2×#449C22semidirect
54. C2×#449C22semidirect
55. C2×#449C22semidirect
56. C2×#449C22semidirect
57. C2×#449C22semidirect
62. C2×#417C22semidirect
82. #2432C22semidirect
83. #2431C22semidirect
90. #2415C22semidirect
91. #2414C22semidirect
96. #2363C22semidirect
97. #2362C22semidirect
101. #2088C22semidirect
102. #2086C22semidirect
103. #2055C22semidirect
104. #2055C22semidirect
105. #2054C22semidirect
106. #2054C22semidirect
107. #2043C22semidirect
108. #2041C22semidirect
109. #2041C22semidirect
110. #2041C22semidirect
111. #2036C22semidirect
112. #2036C22semidirect
115. #2034C22semidirect
116. #2034C22semidirect
117. #2034C22semidirect
120. #2033C22semidirect
121. #2024C22semidirect
122. #2023C22semidirect
123. #2014C22semidirect
124. #2013C22semidirect
125. #2012C22semidirect
126. #2012C22semidirect
127. #2011C22semidirect
128. #2011C22semidirect
135. #2000C22semidirect
136. #2000C22semidirect
137. #2000C22semidirect
138. #2000C22semidirect
145. #1999C22semidirect
146. #1999C22semidirect
147. #1999C22semidirect
148. #1999C22semidirect
149. #1987C22semidirect
150. #1982C22semidirect
151. #1981C22semidirect
152. #1973C22semidirect
153. #1972C22semidirect
155. #1954C22semidirect
156. #1954C22semidirect
157. #1934C22semidirect
158. #1934C22semidirect
159. #1934C22semidirect
160. #1933C22semidirect
161. #1927C22semidirect
162. #1926C22semidirect
163. #1925C22semidirect
164. #1925C22semidirect
165. #1924C22semidirect
166. #1924C22semidirect
169. #1923C22semidirect
170. #1923C22semidirect
171. #1920C22semidirect
172. #1918C22semidirect
173. #1895C22semidirect
174. #1880C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1877C22semidirect
184. #1874C22semidirect
187. #1872C22semidirect
189. #1870C22semidirect
190. #1870C22semidirect
191. #1865C22semidirect
192. #1862C22semidirect
193. #1825C22semidirect
194. #1825C22semidirect
195. #1824C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
200. #1762C22semidirect
201. C4×#103C22semidirect
202. C4×#102C22semidirect

Maximal subgroups

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

subgroupindex
#589992
#393392
#317272
#317262
#310632
#307322
#307302
#305452
#305442
#305112
#304562
#304542
#304472
#304442
#296002
#273922
#273902
#269542
#269502
#267332
#267292
#257592
#257542
#255772
#244542
#244512
#239722
#239202
#233082