Finite Group Databasebeta

← #7361464

Subgroups — #7361464

Order 512.

2176 conjugacy classes of subgroups.

The subgroup lattice has 1658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59003C211yesmaximal, characteristic, complemented
2#39467C211yesmaximal, characteristic, complemented
3#31737C211yesmaximal, characteristic, complemented
4#31727C211yesmaximal, characteristic, complemented
5#31063C211yesmaximal, characteristic, complemented
6#30715C211yesmaximal, characteristic, complemented
7#30704C211yesmaximal, characteristic, complemented
8#30549C211yesmaximal, characteristic, complemented
9#30539C211yesmaximal, characteristic, complemented
10#30499C211yesmaximal, characteristic, complemented
11#30472C211yesmaximal, characteristic, complemented
12#30468C211yesmaximal, characteristic, complemented
13#30458C211yesmaximal, characteristic, complemented
14#30448C211yesmaximal, characteristic, complemented
15#29601C211yesmaximal, characteristic, complemented
16#29598C211yesmaximal, characteristic, complemented
17#27408C211yesmaximal, characteristic, complemented
18#27390C211yesmaximal, characteristic, complemented
19#26957C211yesmaximal, characteristic, complemented
20#26948C211yesmaximal, characteristic, complemented
21#26742C211yesmaximal, characteristic, complemented
22#26730C211yesmaximal, characteristic, complemented
23#25765C211yesmaximal, characteristic, complemented
24#25762C211yesmaximal, characteristic, complemented
25#25583C211yesmaximal, characteristic, complemented
26#24435C211yesmaximal, characteristic, complemented
27#24428C211yesmaximal, characteristic, complemented
28#23971C211yesmaximal, characteristic, complemented
29#23920C211yesmaximal, characteristic, complemented
30#23918C211yesmaximal, characteristic, complemented
31#23307C211yesmaximal, characteristic, complemented
32C2×#552C2211yescharacteristic, complemented
33C2×#550C2211yescharacteristic, complemented
34C2×#546C2211yescharacteristic, complemented
35C2×#525C2211yescharacteristic
36C22×#121C2211yescharacteristic
37C22×#121C2211yescharacteristic
38C2×#496C2211yescharacteristic, complemented
39C2×#495C2211yescharacteristic, complemented
40C2×#490C2211yescharacteristic, complemented
41C2×#484C2211yescharacteristic, complemented
42C2×#485C2211yescharacteristic, complemented
43C2×#466C2211yescharacteristic, complemented
44C2×#466C2211yescharacteristic, complemented
45C2×#464C2211yescharacteristic, complemented
46C2×#460C2211yescharacteristic, complemented
47C2×#463C2211yescharacteristic, complemented
48C2×#452C2211yescharacteristic, complemented
49C2×#452C2211yescharacteristic, complemented
50C2×#449C2211yescharacteristic, complemented
51C2×#449C2211yescharacteristic, complemented
52C2×#449C2211yescharacteristic, complemented
53C2×#449C2211yescharacteristic, complemented
54C2×#450C2211yescharacteristic, complemented
55C2×#450C2211yescharacteristic, complemented
56C2×#447C2211yescharacteristic
57C2×#447C2211yescharacteristic
58C2×#447C2211yescharacteristic
59C2×#447C2211yescharacteristic
60C2×#447C2211yescharacteristic, complemented
61C2×#416C2211yescharacteristic, complemented
62#2848C2211yescharacteristic
63#2714—21no—
64#2714—21no—
65#2711—21no—
66#2711—21no—
67#2682—21no—
68#2673—21no—
69#2613—21no—
70#2541C2211yescharacteristic
71#2540C2211yescharacteristic
72#2540C2211yescharacteristic, complemented
73#2490C2211yescharacteristic
74#2490C2211yescharacteristic, complemented
75#2482—21no—
76#2456—21no—
77#2435C2211yescharacteristic, complemented
78#2433—21no—
79#2433C2211yescharacteristic, complemented
80#2431C2211yescharacteristic, complemented
81#2428—21no—
82#2428C2211yescharacteristic
83#2426C2211yescharacteristic
84#2426C2211yescharacteristic
85#2426C2211yescharacteristic, complemented
86#2424—21no—
87#2416C2211yescharacteristic, complemented
88#2414C2211yescharacteristic
89#2414C2211yescharacteristic, complemented
90#2414C2211yescharacteristic, complemented
91#2411—21no—
92#2410—21no—
93#2408C2211yescharacteristic, complemented
94#2407C2211yescharacteristic
95#2363C2211yescharacteristic, complemented
96#2360C2211yescharacteristic, complemented
97#2358—21no—
98#2344C2211yescharacteristic, complemented
99#2309—21no—
100C4×#120C2211yescharacteristic
101#2088C2211yescharacteristic, complemented
102#2086C2211yescharacteristic, complemented
103#2055C2211yescharacteristic, complemented
104#2054C2211yescharacteristic, complemented
105#2054C2211yescharacteristic, complemented
106#2054C2211yescharacteristic, complemented
107#2042C2211yescharacteristic, complemented
108#2042C2211yescharacteristic, complemented
109#2042C2211yescharacteristic, complemented
110#2041C2211yescharacteristic, complemented
111#2036C2211yescharacteristic, complemented
112#2035C2211yescharacteristic, complemented
113#2034C2211yescharacteristic, complemented
114#2034C2211yescharacteristic, complemented
115#2033C2211yescharacteristic
116#2033C2211yescharacteristic
117#2033C2211yescharacteristic, complemented
118#2033C2211yescharacteristic, complemented
119#2033C2211yescharacteristic, complemented
120#2033C2211yescharacteristic, complemented
121#2026C2211yescharacteristic, complemented
122#2025C2211yescharacteristic, complemented
123#2012C2211yescharacteristic, complemented
124#2012C2211yescharacteristic, complemented
125#2012C2211yescharacteristic, complemented
126#2011C2211yescharacteristic, complemented
127#2011C2211yescharacteristic, complemented
128#2011C2211yescharacteristic, complemented
129#2001C2211yescharacteristic, complemented
130#2001C2211yescharacteristic, complemented
131#2000C2211yescharacteristic
132#2000C2211yescharacteristic
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic, complemented
136#2000C2211yescharacteristic, complemented
137#2000C2211yescharacteristic, complemented
138#2000C2211yescharacteristic, complemented
139#2000C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic
145#1999C2211yescharacteristic
146#1999C2211yescharacteristic
147#1999C2211yescharacteristic, complemented
148#1999C2211yescharacteristic, complemented
149#1989C2211yescharacteristic, complemented
150#1983C2211yescharacteristic, complemented
151#1982C2211yescharacteristic, complemented
152#1973C2211yescharacteristic, complemented
153#1972C2211yescharacteristic, complemented
154#1955C2211yescharacteristic, complemented
155#1955C2211yescharacteristic, complemented
156#1954C2211yescharacteristic, complemented
157#1936C2211yescharacteristic, complemented
158#1936C2211yescharacteristic, complemented
159#1934C2211yescharacteristic, complemented
160#1934C2211yescharacteristic, complemented
161#1926C2211yescharacteristic, complemented
162#1925C2211yescharacteristic, complemented
163#1925C2211yescharacteristic, 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#1918C2211yescharacteristic, complemented
173#1892C2211yescharacteristic, complemented
174#1880C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1878C2211yescharacteristic, complemented
178#1875C2211yescharacteristic, complemented
179#1875C2211yescharacteristic, complemented
180#1875C2211yescharacteristic, complemented
181#1875C2211yescharacteristic, complemented
182#1874C2211yescharacteristic
183#1874C2211yescharacteristic
184#1874C2211yescharacteristic
185#1874C2211yescharacteristic
186#1874C2211yescharacteristic, complemented
187#1872C2211yescharacteristic, complemented
188#1869C2211yescharacteristic, complemented
189#1869C2211yescharacteristic, complemented
190#1869C2211yescharacteristic, complemented
191#1863C2211yescharacteristic, complemented
192#1862C2211yescharacteristic, complemented
193#1825C2211yescharacteristic, complemented
194#1825C2211yescharacteristic, complemented
195#1824C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1779C2211yescharacteristic
199#1779C2211yescharacteristic
200#1763C2211yescharacteristic, complemented
201#1763C2211yescharacteristic, complemented
202C4×#102C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×D4—21no—
206C23×D4—21no—
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C24×C4C2311yescharacteristic
210C22×Q16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C23×C8C2311yescharacteristic
223#552—42no—
224#552—42no—
225#550—42no—
226#550—42no—
227#546—42no—
228#546—42no—
229C2×#127—21no—
230C2×#127—21no—
231C2×#127C2311yescharacteristic
232C2×#127C2311yescharacteristic
233C2×#126—21no—
234C2×#125—21no—
235C2×#125C2311yescharacteristic
236C2×#124C2311yescharacteristic
237C2×#124C2311yescharacteristic
238C2×#124C2311yescharacteristic
239#525—42no—
240#525—42no—
241C2×#123—21no—
242C2×#123—21no—
243C2×#123—21no—
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—42no—
260C2×#121—42no—
261C2×#121—42no—
262C2×#121—42no—
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#120—21no—
278C2×#120—21no—
279C2×#120—21no—
280C2×#120—21no—
281C2×#120—21no—
282C2×#120D411yescharacteristic
283C2×C4×Q8C2311yescharacteristic
284C2×C4×Q8C2311yescharacteristic
285C2×C4×D4—21no—
286C2×C4×D4—21no—
287C2×C4×D4—21no—
288C2×C4×D4C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290C2×C4×D4C2311yescharacteristic
291C2×C4×D4C2311yescharacteristic
292C2×#117—21no—
293C2×#117—21no—
294C2×#117C2311yescharacteristic
295C2×#117C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C22⋊C4—21no—
299C22×C22⋊C4—21no—
300C22×C22⋊C4—21no—
301#496—42no—
302#495—42no—
303#490—42no—
304#485—42no—
305#484—42no—
306#466—42no—
307#466—42no—
308#464—42no—
309#463—42no—
310#460—42no—
311#452—42no—
312#452—42no—
313#450—42no—
314#450—42no—
315#449—42no—
316#449—42no—
317#449—42no—
318#449—42no—
319#447—42no—
320#447—42no—
321#447—42no—
322#447—42no—
323#447—42no—
324C2×#107C2311yescharacteristic
325C2×#107C2311yescharacteristic
326C2×#107C2311yescharacteristic
327C2×#106C2311yescharacteristic
328C2×C4⋊C8C2311yescharacteristic
329C2×C4⋊C8C2311yescharacteristic
330C2×C4⋊C8C2311yescharacteristic
331#416—42no—
332C2×#103C2311yescharacteristic
333C2×#103C2311yescharacteristic
334C2×#103C2311yescharacteristic
335C2×#103C2311yescharacteristic
336C2×#103C2311yescharacteristic
337C2×#103C2311yescharacteristic
338C2×#103C2311yescharacteristic
339C2×#103C2311yescharacteristic
340C2×#103C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
365C2×C22⋊C8C2311yescharacteristic
366C2×C22⋊C8C2311yescharacteristic
367C2×C22⋊C8C2311yescharacteristic
368C2×C22⋊C8C2311yescharacteristic
369C2×C22⋊C8C2311yescharacteristic
370C2×C22⋊C8C2311yescharacteristic
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×#97C2311yescharacteristic
380C2×#97C2311yescharacteristic
381C2×C4×C8C2311yescharacteristic
382#399—21no—
383#399—21no—
384#397—21no—
385#397—21no—
386#396—21no—
387#396—21no—
388#396—21no—
389#396—21no—
390#394—21no—
391#394—21no—
392#394—21no—
393#394—21no—
394#394—21no—
395#394—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#392—21no—
405#392—21no—
406#392—21no—
407#392—21no—
408#392—21no—
409#392—21no—
410#392—21no—
411#392—21no—
412#392—21no—
413#392—21no—
414#392—21no—
415#392—21no—
416#392—21no—
417#392—21no—
418#391C2311yescharacteristic
419#390—21no—
420#390—21no—
421#390—21no—
422#390—21no—
423#390—21no—
424#390—21no—
425#390—21no—
426#390—21no—
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#390C2311yescharacteristic
440#389—21no—
441#389C2311yescharacteristic
442#389C2311yescharacteristic
443#389C2311yescharacteristic
444#389C2311yescharacteristic
445#388—21no—
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#386D411yescharacteristic
464#386D411yescharacteristic
465#386D411yescharacteristic
466#385—21no—
467#385—21no—
468#385—21no—
469#385—21no—
470#385—21no—
471#385D411yescharacteristic
472#385D411yescharacteristic
473#385D411yescharacteristic
474#381—21no—
475#380C2311yescharacteristic
476#380C2311yescharacteristic
477#380C2311yescharacteristic
478#380C2311yescharacteristic
479#379—21no—
480#379—21no—
481#379—21no—
482#379—21no—
483#379D411yescharacteristic
484C4×C4⋊C4C2311yescharacteristic
485C4×C4⋊C4C2311yescharacteristic
486C4×C4⋊C4C2311yescharacteristic
487C4×C22⋊C4—21no—
488C4×C22⋊C4—21no—
489C4×C22⋊C4C2311yescharacteristic
490C4×C22⋊C4C2311yescharacteristic
491C4×C22⋊C4C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#340C2311yescharacteristic
500#340C2311yescharacteristic
501#340C2311yescharacteristic
502#340C2311yescharacteristic
503#340C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#336C2311yescharacteristic
509#336C2311yescharacteristic
510#336C2311yescharacteristic
511#336C2311yescharacteristic
512#336C2311yescharacteristic
513#336C2311yescharacteristic
514C25—21no—
515C25—21no—
516C25C2×D411yescharacteristic
517C2×#41—22no—
518C2×#41—22no—
519C2×#41—22no—
520C2×#41—41no—
521C2×#41—41no—
522C2×#41—41no—
523C2×#41—41no—
524C2×#41—41no—
525C2×#41—41no—
526C2×#41—41no—
527C2×#41—41no—
528C2×#41—41no—
529C22×Q8C2411yescharacteristic
530C22×Q8C2411yescharacteristic
531C22×D4—21no—
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—44no—
566C22×D4—44no—
567C22×D4—44no—
568C22×D4—82no—
569C22×D4—82no—
570C22×D4—82no—
571C22×D4C2×D411yescharacteristic
572C22×D4C2×D411yescharacteristic
573C22×D4C2×D411yescharacteristic
574C22×D4C2411yescharacteristic
575C22×D4C2411yescharacteristic
576C22×D4C2411yescharacteristic
577C22×D4C2411yescharacteristic
578C22×D4C2411yescharacteristic
579C23×C4—21no—
580C23×C4—21no—
581C23×C4—21no—
582C23×C4—21no—
583C23×C4—21no—
584C23×C4—41no—
585C23×C4—41no—
586C23×C4—41no—
587C23×C4—41no—
588C23×C4—41no—
589C23×C4—41no—
590C23×C4C2×D411yescharacteristic
591C23×C4C2×D411yescharacteristic
592C23×C4C2×D411yescharacteristic
593C23×C4C2411yescharacteristic
594C23×C4C2411yescharacteristic
595C23×C4C2411yescharacteristic
596C23×C4C2411yescharacteristic
597C2×Q16—22no—
598C2×Q16—41no—
599C2×Q16—41no—
600C2×SD16—22no—
601C2×SD16—22no—
602C2×SD16—22no—
603C2×SD16—41no—
604C2×SD16—41no—
605C2×SD16—41no—
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×D8—22no—
616C2×D8—22no—
617C2×D8—41no—
618C2×D8—41no—
619C2×D8—41no—
620C2×D8—41no—
621C2×D8—41no—
622C2×D8—41no—
623C2×D8—41no—
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—
633C22×C8—41no—
634C22×C8—41no—
635C22×C8—41no—
636C22×C8C2411yescharacteristic
637C22×C8C2411yescharacteristic
638C22×C8C2411yescharacteristic
639C22×C8C2411yescharacteristic
640C22×C8C2411yescharacteristic
641C22×C8C2411yescharacteristic
642C22×C8C2411yescharacteristic
643C22×C8C2411yescharacteristic
644#127—22no—
645#127—41no—
646#127—41no—
647#127—41no—
648#127—44no—
649#127—82no—
650#126—44no—
651#125—22no—
652#125—41no—
653#125—44no—
654#124—22no—
655#124—41no—
656#124—41no—
657#124—41no—
658#124—41no—
659#124—41no—
660#123—44no—
661#123—44no—
662#123—44no—
663C22⋊Q8—22no—
664C22⋊Q8—22no—
665C22⋊Q8—22no—
666C22⋊Q8—22no—
667C22⋊Q8—41no—
668C22⋊Q8—41no—
669C22⋊Q8—41no—
670C22⋊Q8—41no—
671C22⋊Q8—41no—
672C22⋊Q8—41no—
673C22⋊Q8—41no—
674C22⋊Q8—41no—
675#121—22no—
676#121—22no—
677#121—22no—
678#121—22no—
679#121—22no—
680#121—22no—
681#121—22no—
682#121—22no—
683#121—22no—
684#121—22no—
685#121—22no—
686#121—44no—
687#121—44no—
688#121—41no—
689#121—41no—
690#121—41no—
691#121—41no—
692#121—41no—
693#121—41no—
694#121—41no—
695#121—41no—
696#121—41no—
697#121—41no—
698#121—41no—
699#121—41no—
700#121—41no—
701#121—44no—
702#121—44no—
703#121—44no—
704#121—44no—
705#121—44no—
706#121—41no—
707#121—41no—
708#121—41no—
709#121—41no—
710#121—82no—
711#121—82no—
712#120—42no—
713#120—44no—
714#120—44no—
715#120—44no—
716#120—82no—
717#120—82no—
718C4×Q8—22no—
719C4×Q8—22no—
720C4×Q8—41no—
721C4×Q8—41no—
722C4×D4—22no—
723C4×D4—41no—
724C4×D4—41no—
725C4×D4—41no—
726C4×D4—41no—
727C4×D4—41no—
728C4×D4—41no—
729C4×D4—41no—
730C4×D4—44no—
731C4×D4—44no—
732C4×D4—44no—
733#117—22no—
734#117—22no—
735#117—41no—
736#117—41no—
737#117—44no—
738#117—82no—
739C2×C4⋊C4—21no—
740C2×C4⋊C4—21no—
741C2×C4⋊C4—22no—
742C2×C4⋊C4—22no—
743C2×C4⋊C4—22no—
744C2×C4⋊C4—21no—
745C2×C4⋊C4—21no—
746C2×C4⋊C4—21no—
747C2×C4⋊C4—21no—
748C2×C4⋊C4—21no—
749C2×C4⋊C4—21no—
750C2×C4⋊C4—21no—
751C2×C4⋊C4—21no—
752C2×C4⋊C4—21no—
753C2×C4⋊C4—21no—
754C2×C4⋊C4—21no—
755C2×C4⋊C4—21no—
756C2×C4⋊C4—21no—
757C2×C4⋊C4—21no—
758C2×C4⋊C4—41no—
759C2×C4⋊C4C2×D411yescharacteristic
760C2×C4⋊C4C2×D411yescharacteristic
761C2×C4⋊C4C2×D411yescharacteristic
762C2×C4⋊C4C2411yescharacteristic
763C2×C4⋊C4C2411yescharacteristic
764C2×C4⋊C4C2411yescharacteristic
765C2×C4⋊C4C2411yescharacteristic
766C2×C4⋊C4C2411yescharacteristic
767C2×C4⋊C4C2411yescharacteristic
768C2×C4⋊C4C2411yescharacteristic
769C2×C4⋊C4C2411yescharacteristic
770C2×C4⋊C4C2411yescharacteristic
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
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—44no—
819C2×C22⋊C4—44no—
820C2×C22⋊C4—44no—
821C2×C22⋊C4C2×D411yescharacteristic
822C2×C22⋊C4C2×D411yescharacteristic
823C2×C22⋊C4C2×D411yescharacteristic
824C2×C22⋊C4C2×D411yescharacteristic
825C2×C22⋊C4C2×D411yescharacteristic
826C2×C22⋊C4C2×D411yescharacteristic
827C2×C22⋊C4C2×D411yescharacteristic
828C2×C22⋊C4C2×D411yescharacteristic
829C2×C22⋊C4C2×D411yescharacteristic
830C2×C22⋊C4C2×D411yescharacteristic
831C2×C22⋊C4C2×D411yescharacteristic
832C2×C22⋊C4C2×D411yescharacteristic
833C2×C42—21no—
834C2×C42—21no—
835C2×C42—21no—
836C2×C42—21no—
837C2×C42—21no—
838C2×C42—21no—
839C2×C42—21no—
840C2×C42C2411yescharacteristic
841C2×C42C2411yescharacteristic
842C2×C42C2411yescharacteristic
843#107—22no—
844#107—22no—
845#107—41no—
846#106—41no—
847C4⋊C8—41no—
848C4⋊C8—41no—
849C4⋊C8—41no—
850#103—22no—
851#103—22no—
852#103—22no—
853#103—22no—
854#103—22no—
855#103—41no—
856#103—41no—
857#103—41no—
858#103—41no—
859#102—22no—
860#102—22no—
861#102—22no—
862#102—22no—
863#102—22no—
864#102—22no—
865#102—22no—
866#102—22no—
867#102—22no—
868#102—22no—
869#102—22no—
870#102—41no—
871#102—41no—
872#102—41no—
873#102—41no—
874#102—41no—
875#102—41no—
876#102—41no—
877#102—41no—
878#102—41no—
879#102—41no—
880#102—41no—
881#102—41no—
882C22⋊C8—41no—
883C22⋊C8—41no—
884C22⋊C8—41no—
885C22⋊C8—41no—
886C22⋊C8—41no—
887C22⋊C8—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—
897#97—41no—
898#97—41no—
899C4×C8—41no—
900#95—21no—
901#95—21no—
902#95—21no—
903#95—21no—
904#95—21no—
905#95—21no—
906#95—21no—
907#95—21no—
908#95—21no—
909#95—21no—
910#95—21no—
911#95—21no—
912#95—21no—
913#95C2×D411yescharacteristic
914#95C2×D411yescharacteristic
915#95C2×D411yescharacteristic
916#95C2×D411yescharacteristic
917#95C2×D411yescharacteristic
918#95C2×D411yescharacteristic
919C24—21no—
920C24—22no—
921C24—22no—
922C24—21no—
923C24—21no—
924C24—21no—
925C24—21no—
926C24—41no—
927C24—41no—
928C24—41no—
929C24—41no—
930C24—41no—
931C24—42no—
932C24—42no—
933C24—42no—
934C24—42no—
935C24—42no—
936C24—42no—
937C24—42no—
938C24—81no—
939C24—81no—
940C24—81no—
941C24—81no—
942C24—81no—
943C24—81no—
944C24—81no—
945C24C22×D411yescharacteristic
946C24C22×D411yescharacteristic
947C24C22×D411yescharacteristic
948C24C22×D411yescharacteristic
949#41—44no—
950#41—82no—
951#41—82no—
952#41—82no—
953#41—82no—
954#41—82no—
955#41—82no—
956#41—82no—
957C2×Q8—21no—
958C2×Q8—21no—
959C2×Q8—21no—
960C2×Q8—21no—
961C2×Q8—21no—
962C2×Q8—21no—
963C2×Q8—21no—
964C2×Q8—21no—
965C2×Q8—21no—
966C2×Q8—21no—
967C2×Q8—21no—
968C2×Q8H(5,𝔽2)12yes—
969C2×D4—24no—
970C2×D4—22no—
971C2×D4—22no—
972C2×D4—21no—
973C2×D4—21no—
974C2×D4—21no—
975C2×D4—21no—
976C2×D4—21no—
977C2×D4—21no—
978C2×D4—21no—
979C2×D4—21no—
980C2×D4—21no—
981C2×D4—21no—
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—41no—
1002C2×D4—41no—
1003C2×D4—41no—
1004C2×D4—41no—
1005C2×D4—41no—
1006C2×D4—41no—
1007C2×D4—41no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—42no—
1016C2×D4—42no—
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—81no—
1040C2×D4—81no—
1041C2×D4—81no—
1042C2×D4—81no—
1043C2×D4—81no—
1044C2×D4—81no—
1045C2×D4—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4—81no—
1049C2×D4—81no—
1050C2×D4—82no—
1051C2×D4—82no—
1052C2×D4—82no—
1053C2×D4—82no—
1054C2×D4—82no—
1055C2×D4—82no—
1056C2×D4—82no—
1057C2×D4—82no—
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—81no—
1068C2×D4—81no—
1069C2×D4—81no—
1070C2×D4—81no—
1071C2×D4—816no—
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—816no—
1083C2×D4H(5,𝔽2)12yes—
1084C22×C4—24no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
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—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—42no—
1130C22×C4—42no—
1131C22×C4—42no—
1132C22×C4—42no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—42no—
1137C22×C4—42no—
1138C22×C4—81no—
1139C22×C4—81no—
1140C22×C4—81no—
1141C22×C4—81no—
1142C22×C4—82no—
1143C22×C4—82no—
1144C22×C4—82no—
1145C22×C4—82no—
1146C22×C4—81no—
1147C22×C4C22×D411yescharacteristic
1148C22×C4C22×D411yescharacteristic
1149C22×C4C22×D411yescharacteristic
1150C22×C4C22×D411yescharacteristic
1151C22×C4C22×D411yescharacteristic
1152C22×C4C22×D411yescharacteristic
1153C22×C4C22×D411yescharacteristic
1154C22×C4C22×D411yescharacteristic
1155C22×C4C22×D411yescharacteristic
1156C22×C4C22×D411yescharacteristic
1157C22×C4C2511yescharacteristic
1158Q16—82no—
1159SD16—82no—
1160SD16—82no—
1161SD16—82no—
1162SD16—82no—
1163SD16—82no—
1164D8—82no—
1165D8—82no—
1166D8—82no—
1167D8—82no—
1168D8—82no—
1169D8—82no—
1170C2×C8—21no—
1171C2×C8—21no—
1172C2×C8—21no—
1173C2×C8—21no—
1174C2×C8—21no—
1175C2×C8—21no—
1176C2×C8—21no—
1177C2×C8—21no—
1178C2×C8—21no—
1179C2×C8—21no—
1180C2×C8—21no—
1181C2×C8—21no—
1182C2×C8—21no—
1183C2×C8—21no—
1184C2×C8—21no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—21no—
1190C2×C8—21no—
1191C2×C8—21no—
1192C2×C8—21no—
1193C2×C8—21no—
1194C2×C8—82no—
1195C4⋊C4—24no—
1196C4⋊C4—24no—
1197C4⋊C4—21no—
1198C4⋊C4—21no—
1199C4⋊C4—21no—
1200C4⋊C4—21no—
1201C4⋊C4—21no—
1202C4⋊C4—21no—
1203C4⋊C4—21no—
1204C4⋊C4—21no—
1205C4⋊C4—21no—
1206C4⋊C4—21no—
1207C4⋊C4—21no—
1208C4⋊C4—21no—
1209C4⋊C4—21no—
1210C4⋊C4—21no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—42no—
1215C4⋊C4—42no—
1216C4⋊C4—42no—
1217C4⋊C4—42no—
1218C4⋊C4—42no—
1219C4⋊C4—42no—
1220C4⋊C4—42no—
1221C4⋊C4—42no—
1222C4⋊C4—81no—
1223C4⋊C4—81no—
1224C4⋊C4—81no—
1225C4⋊C4—81no—
1226C4⋊C4—81no—
1227C4⋊C4—81no—
1228C4⋊C4H(5,𝔽2)12yes—
1229C4⋊C4H(5,𝔽2)12yes—
1230C4⋊C4H(5,𝔽2)12yes—
1231C4⋊C4H(5,𝔽2)12yes—
1232C22⋊C4—24no—
1233C22⋊C4—24no—
1234C22⋊C4—22no—
1235C22⋊C4—22no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—41no—
1246C22⋊C4—42no—
1247C22⋊C4—42no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—42no—
1253C22⋊C4—42no—
1254C22⋊C4—42no—
1255C22⋊C4—42no—
1256C22⋊C4—42no—
1257C22⋊C4—42no—
1258C22⋊C4—42no—
1259C22⋊C4—42no—
1260C22⋊C4—42no—
1261C22⋊C4—42no—
1262C22⋊C4—42no—
1263C22⋊C4—42no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4—42no—
1267C22⋊C4—42no—
1268C22⋊C4—81no—
1269C22⋊C4—81no—
1270C22⋊C4—81no—
1271C22⋊C4—81no—
1272C22⋊C4—81no—
1273C22⋊C4—81no—
1274C22⋊C4—81no—
1275C22⋊C4—81no—
1276C22⋊C4—81no—
1277C22⋊C4—81no—
1278C22⋊C4—81no—
1279C22⋊C4—81no—
1280C22⋊C4—81no—
1281C22⋊C4—81no—
1282C22⋊C4—81no—
1283C22⋊C4—81no—
1284C22⋊C4—81no—
1285C22⋊C4—81no—
1286C22⋊C4—81no—
1287C22⋊C4—81no—
1288C22⋊C4—81no—
1289C22⋊C4—81no—
1290C22⋊C4—81no—
1291C42—21no—
1292C42—21no—
1293C42—21no—
1294C42—21no—
1295C42—21no—
1296C42—21no—
1297C42—42no—
1298C42—42no—
1299C42—42no—
1300C42—42no—
1301C42—81no—
1302C42—81no—
1303C42—81no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—22no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—44no—
1332C23—44no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23—41no—
1344C23—41no—
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—82no—
1368C23—82no—
1369C23—82no—
1370C23—84no—
1371C23—84no—
1372C23—84no—
1373C23—82no—
1374C23—82no—
1375C23—84no—
1376C23—84no—
1377C23—84no—
1378C23—84no—
1379C23—162no—
1380C23—162no—
1381C23—162no—
1382C23—162no—
1383C23—162no—
1384C23—162no—
1385C23—162no—
1386C23#57512yes—
1387C23#57612yes—
1388C23C23×D411yescharacteristic
1389Q8—22no—
1390Q8—22no—
1391Q8—41no—
1392Q8—41no—
1393Q8—41no—
1394Q8—41no—
1395Q8—41no—
1396Q8—41no—
1397D4—22no—
1398D4—22no—
1399D4—41no—
1400D4—41no—
1401D4—41no—
1402D4—41no—
1403D4—41no—
1404D4—41no—
1405D4—41no—
1406D4—41no—
1407D4—41no—
1408D4—41no—
1409D4—41no—
1410D4—41no—
1411D4—41no—
1412D4—41no—
1413D4—41no—
1414D4—41no—
1415D4—41no—
1416D4—41no—
1417D4—82no—
1418D4—82no—
1419D4—84no—
1420D4—84no—
1421D4—84no—
1422D4—84no—
1423D4—84no—
1424D4—82no—
1425D4—84no—
1426D4—84no—
1427D4—84no—
1428D4—84no—
1429D4—84no—
1430D4—84no—
1431D4—84no—
1432D4—84no—
1433D4—84no—
1434D4—84no—
1435D4—162no—
1436D4—162no—
1437D4—162no—
1438D4—162no—
1439D4—162no—
1440D4—162no—
1441D4—162no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—48no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
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—82no—
1523C2×C4—82no—
1524C2×C4—82no—
1525C2×C4—84no—
1526C2×C4—84no—
1527C2×C4—84no—
1528C2×C4—162no—
1529C2×C4C2×H(5,𝔽2)11yescharacteristic
1530C2×C4C2×H(5,𝔽2)11yescharacteristic
1531C2×C4C2×H(5,𝔽2)11yescharacteristic
1532C2×C4C2×H(5,𝔽2)11yescharacteristic
1533C2×C4C2×H(5,𝔽2)11yescharacteristic
1534C2×C4C2×H(5,𝔽2)11yescharacteristic
1535C8—41no—
1536C8—41no—
1537C8—41no—
1538C8—41no—
1539C8—41no—
1540C8—41no—
1541C8—41no—
1542C8—41no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—42no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—42no—
1567C22—41no—
1568C22—42no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—88no—
1575C22—81no—
1576C22—81no—
1577C22—81no—
1578C22—81no—
1579C22—81no—
1580C22—81no—
1581C22—81no—
1582C22—81no—
1583C22—81no—
1584C22—81no—
1585C22—81no—
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—168no—
1608C22—168no—
1609C22#348411yescharacteristic
1610C22#348411yescharacteristic
1611C22#348411yescharacteristic
1612C22C2×#57511yescharacteristic
1613C22C2×#57611yescharacteristic
1614C22#358411yescharacteristic
1615C22#358511yescharacteristic
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—42no—
1621C4—41no—
1622C4—41no—
1623C4—42no—
1624C4—42no—
1625C4—41no—
1626C4—41no—
1627C4—42no—
1628C4—41no—
1629C4—41no—
1630C4—42no—
1631C4—81no—
1632C4—81no—
1633C4—81no—
1634C4—81no—
1635C4—81no—
1636C4—81no—
1637C4#353711yescharacteristic
1638C4#354311yescharacteristic
1639C4#354311yescharacteristic
1640C4#354911yescharacteristic
1641C2—42no—
1642C2—42no—
1643C2—81no—
1644C2—81no—
1645C2—82no—
1646C2—161no—
1647C2—161no—
1648C2—161no—
1649C2—161no—
1650C2#4954511yescharacteristic
1651C2#6157711yescharacteristic
1652C2#6159211yescharacteristic
1653C2#6160611yescharacteristic
1654C2#6160911yescharacteristic
1655C2#6161611yescharacteristic
1656C2#6163911yescharacteristic
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. #59003C2semidirect
2. #39467C2semidirect
3. #31737C2semidirect
4. #31727C2semidirect
5. #31063C2semidirect
6. #30715C2semidirect
7. #30704C2semidirect
8. #30549C2semidirect
9. #30539C2semidirect
10. #30499C2semidirect
11. #30472C2semidirect
12. #30468C2semidirect
13. #30458C2semidirect
14. #30448C2semidirect
15. #29601C2semidirect
16. #29598C2semidirect
17. #27408C2semidirect
18. #27390C2semidirect
19. #26957C2semidirect
20. #26948C2semidirect
21. #26742C2semidirect
22. #26730C2semidirect
23. #25765C2semidirect
24. #25762C2semidirect
25. #25583C2semidirect
26. #24435C2semidirect
27. #24428C2semidirect
28. #23971C2semidirect
29. #23920C2semidirect
30. #23918C2semidirect
31. #23307C2semidirect
32. C2×#552C22semidirect
33. C2×#550C22semidirect
34. C2×#546C22semidirect
38. C2×#496C22semidirect
39. C2×#495C22semidirect
40. C2×#490C22semidirect
41. C2×#484C22semidirect
42. C2×#485C22semidirect
43. C2×#466C22semidirect
44. C2×#466C22semidirect
45. C2×#464C22semidirect
46. C2×#460C22semidirect
47. C2×#463C22semidirect
48. C2×#452C22semidirect
49. C2×#452C22semidirect
50. C2×#449C22semidirect
51. C2×#449C22semidirect
52. C2×#449C22semidirect
53. C2×#449C22semidirect
54. C2×#450C22semidirect
55. C2×#450C22semidirect
60. C2×#447C22semidirect
61. C2×#416C22semidirect
72. #2540C22semidirect
74. #2490C22semidirect
77. #2435C22semidirect
79. #2433C22semidirect
80. #2431C22semidirect
85. #2426C22semidirect
87. #2416C22semidirect
89. #2414C22semidirect
90. #2414C22semidirect
93. #2408C22semidirect
95. #2363C22semidirect
96. #2360C22semidirect
98. #2344C22semidirect
101. #2088C22semidirect
102. #2086C22semidirect
103. #2055C22semidirect
104. #2054C22semidirect
105. #2054C22semidirect
106. #2054C22semidirect
107. #2042C22semidirect
108. #2042C22semidirect
109. #2042C22semidirect
110. #2041C22semidirect
111. #2036C22semidirect
112. #2035C22semidirect
113. #2034C22semidirect
114. #2034C22semidirect
117. #2033C22semidirect
118. #2033C22semidirect
119. #2033C22semidirect
120. #2033C22semidirect
121. #2026C22semidirect
122. #2025C22semidirect
123. #2012C22semidirect
124. #2012C22semidirect
125. #2012C22semidirect
126. #2011C22semidirect
127. #2011C22semidirect
128. #2011C22semidirect
129. #2001C22semidirect
130. #2001C22semidirect
135. #2000C22semidirect
136. #2000C22semidirect
137. #2000C22semidirect
138. #2000C22semidirect
139. #2000C22semidirect
140. #2000C22semidirect
147. #1999C22semidirect
148. #1999C22semidirect
149. #1989C22semidirect
150. #1983C22semidirect
151. #1982C22semidirect
152. #1973C22semidirect
153. #1972C22semidirect
154. #1955C22semidirect
155. #1955C22semidirect
156. #1954C22semidirect
157. #1936C22semidirect
158. #1936C22semidirect
159. #1934C22semidirect
160. #1934C22semidirect
161. #1926C22semidirect
162. #1925C22semidirect
163. #1925C22semidirect
164. #1925C22semidirect
165. #1924C22semidirect
166. #1924C22semidirect
167. #1924C22semidirect
168. #1924C22semidirect
169. #1923C22semidirect
170. #1923C22semidirect
171. #1921C22semidirect
172. #1918C22semidirect
173. #1892C22semidirect
174. #1880C22semidirect
175. #1880C22semidirect
176. #1879C22semidirect
177. #1878C22semidirect
178. #1875C22semidirect
179. #1875C22semidirect
180. #1875C22semidirect
181. #1875C22semidirect
186. #1874C22semidirect
187. #1872C22semidirect
188. #1869C22semidirect
189. #1869C22semidirect
190. #1869C22semidirect
191. #1863C22semidirect
192. #1862C22semidirect
193. #1825C22semidirect
194. #1825C22semidirect
195. #1824C22semidirect
196. #1788C22semidirect
197. #1786C22semidirect
200. #1763C22semidirect
201. #1763C22semidirect
202. C4×#102C22semidirect

Maximal subgroups

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

subgroupindex
#590032
#394672
#317372
#317272
#310632
#307152
#307042
#305492
#305392
#304992
#304722
#304682
#304582
#304482
#296012
#295982
#274082
#273902
#269572
#269482
#267422
#267302
#257652
#257622
#255832
#244352
#244282
#239712
#239202
#239182
#233072