Finite Group Databasebeta

← #7054310

Subgroups — #7054310

Order 512.

2239 conjugacy classes of subgroups.

The subgroup lattice has 1639 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3315C211yesmaximal, characteristic, complemented
2C2×#3198C211yesmaximal, characteristic, complemented
3#44884C211yesmaximal, characteristic, complemented
4#42962C211yesmaximal, characteristic, complemented
5#31202C211yesmaximal, characteristic, complemented
6#30923C211yesmaximal, characteristic, complemented
7#30862C211yesmaximal, characteristic, complemented
8#30727C211yesmaximal, characteristic, complemented
9#30715C211yesmaximal, characteristic, complemented
10#30548C211yesmaximal, characteristic, complemented
11#30503C211yesmaximal, characteristic, complemented
12#30451C211yesmaximal, characteristic, complemented
13#28936C211yesmaximal, characteristic, complemented
14#28487C211yesmaximal, characteristic, complemented
15#26787C211yesmaximal, characteristic, complemented
16#26640C211yesmaximal, characteristic, complemented
17#25793C211yesmaximal, characteristic, complemented
18#25765C211yesmaximal, characteristic, complemented
19#25560C211yesmaximal, characteristic, complemented
20#25422C211yesmaximal, characteristic, complemented
21#25139C211yesmaximal, characteristic, complemented
22#25124C211yesmaximal, characteristic, complemented
23#25084C211yesmaximal, characteristic, complemented
24#24486C211yesmaximal, characteristic, complemented
25#24451C211yesmaximal, characteristic, complemented
26#24395C211yesmaximal, characteristic, complemented
27#24393C211yesmaximal, characteristic, complemented
28#23864C211yesmaximal, characteristic, complemented
29#23393C211yesmaximal, characteristic, complemented
30#22942C211yesmaximal, characteristic, complemented
31#22849C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#552C2211yescharacteristic
34C2×#550C2211yescharacteristic, complemented
35C2×#547C2211yescharacteristic
36C2×#537C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#535C2211yescharacteristic
39#3315—28no—
40#3198—28no—
41C2×#496C2211yescharacteristic
42C2×#495C2211yescharacteristic
43C2×#491C2211yescharacteristic, complemented
44C2×#484C2211yescharacteristic, complemented
45C2×#481C2211yescharacteristic
46C2×#485C2211yescharacteristic
47C2×#482C2211yescharacteristic
48C2×#480C2211yescharacteristic
49C2×#478C2211yescharacteristic, complemented
50C2×#470C2211yescharacteristic, complemented
51C2×#470C2211yescharacteristic, complemented
52C2×#469C2211yescharacteristic
53C2×#469C2211yescharacteristic
54C2×#468C2211yescharacteristic
55C2×#468C2211yescharacteristic
56C2×#467C2211yescharacteristic
57C2×#466C2211yescharacteristic
58C2×#465C2211yescharacteristic
59C2×#465C2211yescharacteristic, complemented
60C2×#464C2211yescharacteristic
61C2×#462C2211yescharacteristic, complemented
62C2×#452C2211yescharacteristic
63C2×#452C2211yescharacteristic, complemented
64C2×#452C2211yescharacteristic, complemented
65C2×#449C2211yescharacteristic
66C2×#449C2211yescharacteristic
67C2×#449C2211yescharacteristic
68C2×#449C2211yescharacteristic
69C2×#450C2211yescharacteristic
70C2×#447C2211yescharacteristic
71C2×#440C2211yescharacteristic, complemented
72C2×#436C2211yescharacteristic, complemented
73C2×#435C2211yescharacteristic
74C2×#417C2211yescharacteristic, complemented
75C2×#416C2211yescharacteristic
76C22×#102C2211yescharacteristic
77C2×#408C2211yescharacteristic
78C2×#408C2211yescharacteristic
79#2820—21no—
80#2685—21no—
81#2685—21no—
82#2681—21no—
83#2678—21no—
84#2678—21no—
85#2675—21no—
86#2673—21no—
87#2671—21no—
88#2641—21no—
89#2619—21no—
90#2616C2211yescharacteristic
91#2610—21no—
92#2540C2211yescharacteristic
93#2540C2211yescharacteristic
94#2540C2211yescharacteristic, complemented
95#2490C2211yescharacteristic
96#2490C2211yescharacteristic
97#2464—21no—
98#2449—21no—
99#2435C2211yescharacteristic
100#2432C2211yescharacteristic, complemented
101#2431C2211yescharacteristic
102#2429C2211yescharacteristic, complemented
103#2428—21no—
104#2428C2211yescharacteristic, complemented
105#2426C2211yescharacteristic
106#2426C2211yescharacteristic
107#2417C2211yescharacteristic, complemented
108#2416—21no—
109#2416C2211yescharacteristic
110#2416C2211yescharacteristic
111#2416C2211yescharacteristic
112#2408C2211yescharacteristic
113#2407C2211yescharacteristic, complemented
114#2388C2211yescharacteristic
115#2361C2211yescharacteristic, complemented
116#2360C2211yescharacteristic
117#2346C2211yescharacteristic
118#2068C2211yescharacteristic, complemented
119#2067C2211yescharacteristic
120#2067C2211yescharacteristic, complemented
121#2065C2211yescharacteristic
122#2059C2211yescharacteristic, complemented
123#2055C2211yescharacteristic
124#2054C2211yescharacteristic
125#2042C2211yescharacteristic
126#2042C2211yescharacteristic, complemented
127#2041C2211yescharacteristic, complemented
128#2036C2211yescharacteristic, complemented
129#2035C2211yescharacteristic, complemented
130#2035C2211yescharacteristic, complemented
131#2034C2211yescharacteristic
132#2034C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2025C2211yescharacteristic, complemented
135#2015C2211yescharacteristic
136#2015C2211yescharacteristic
137#2013C2211yescharacteristic
138#2013C2211yescharacteristic
139#2012C2211yescharacteristic
140#2012C2211yescharacteristic
141#2011C2211yescharacteristic
142#2001C2211yescharacteristic, complemented
143#2001C2211yescharacteristic, complemented
144#2000C2211yescharacteristic
145#2000C2211yescharacteristic
146#2000C2211yescharacteristic
147#2000C2211yescharacteristic
148#2000C2211yescharacteristic
149#2000C2211yescharacteristic
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#1999C2211yescharacteristic
154#1999C2211yescharacteristic
155#1999C2211yescharacteristic
156#1999C2211yescharacteristic
157#1999C2211yescharacteristic
158#1983C2211yescharacteristic
159#1983C2211yescharacteristic, complemented
160#1982C2211yescharacteristic, complemented
161#1973C2211yescharacteristic
162#1972C2211yescharacteristic
163#1970C2211yescharacteristic
164#1955C2211yescharacteristic, complemented
165#1943C2211yescharacteristic, complemented
166#1936C2211yescharacteristic
167#1933C2211yescharacteristic, complemented
168#1927C2211yescharacteristic, complemented
169#1927C2211yescharacteristic, complemented
170#1926C2211yescharacteristic, complemented
171#1925C2211yescharacteristic
172#1924C2211yescharacteristic, complemented
173#1923C2211yescharacteristic, complemented
174#1921C2211yescharacteristic, complemented
175#1919C2211yescharacteristic, complemented
176#1895C2211yescharacteristic
177#1895C2211yescharacteristic, complemented
178#1894C2211yescharacteristic
179#1893C2211yescharacteristic
180#1892C2211yescharacteristic, complemented
181#1880C2211yescharacteristic
182#1880C2211yescharacteristic, complemented
183#1879C2211yescharacteristic
184#1879C2211yescharacteristic
185#1874C2211yescharacteristic, complemented
186#1872C2211yescharacteristic
187#1872C2211yescharacteristic, complemented
188#1870C2211yescharacteristic
189#1870C2211yescharacteristic, complemented
190#1869C2211yescharacteristic, complemented
191#1865C2211yescharacteristic, complemented
192#1863C2211yescharacteristic, complemented
193#1853C2211yescharacteristic
194#1852C2211yescharacteristic, complemented
195#1852C2211yescharacteristic, complemented
196#1851C2211yescharacteristic, complemented
197#1850C2211yescharacteristic
198#1788C2211yescharacteristic
199#1788C2211yescharacteristic, complemented
200C4×#106C2211yescharacteristic, complemented
201#1763C2211yescharacteristic, complemented
202#1753C2211yescharacteristic
203#1752C2211yescharacteristic, complemented
204#1736C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C2×AGL(1,ℤ/8)—42no—
211C2×AGL(1,ℤ/8)—42no—
212C2×AGL(1,ℤ/8)—42no—
213C22×Q16C2311yescharacteristic
214C22×Q16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×M16C2311yescharacteristic
226C22×M16C2311yescharacteristic
227C22×M16C2311yescharacteristic
228C23×C8C2311yescharacteristic
229C23×C8C2311yescharacteristic
230#552—24no—
231#552—42no—
232#550—42no—
233#550—42no—
234#547—24no—
235#547—42no—
236#537—24no—
237#537—42no—
238#537—42no—
239#537—42no—
240#535—24no—
241#535—42no—
242C2×C4⋊Q8C2311yescharacteristic
243C2×#127—21no—
244C2×#127—21no—
245C2×#127C2311yescharacteristic
246C2×#126—21no—
247C2×#125—21no—
248C2×#125C2311yescharacteristic
249C2×#124—21no—
250C2×#124C2311yescharacteristic
251C2×#124C2311yescharacteristic
252C2×#124C2311yescharacteristic
253C2×#123—21no—
254C2×#123—21no—
255C2×#123—21no—
256C2×C22⋊Q8—21no—
257C2×C22⋊Q8—21no—
258C2×C22⋊Q8C2311yescharacteristic
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
262C2×C22⋊Q8C2311yescharacteristic
263C2×C22⋊Q8C2311yescharacteristic
264C2×C22⋊Q8C2311yescharacteristic
265C2×C22⋊Q8C2311yescharacteristic
266C2×C22⋊Q8C2311yescharacteristic
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121—21no—
271C2×#121—21no—
272C2×#121—21no—
273C2×#121—21no—
274C2×#121—21no—
275C2×#121—21no—
276C2×#121—21no—
277C2×#121—21no—
278C2×#121—21no—
279C2×#121—21no—
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×C4×Q8C2311yescharacteristic
295C2×C4×Q8C2311yescharacteristic
296C2×C4×D4—21no—
297C2×C4×D4—21no—
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×#117—21no—
303C2×#117C2311yescharacteristic
304C22×C4⋊C4—21no—
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308#496—42no—
309#495—42no—
310#491—24no—
311#485D418yescomplemented
312#484—24no—
313#482—24no—
314#481—24no—
315#480—24no—
316#478—24no—
317#470—24no—
318#470—42no—
319#469—24no—
320#469—42no—
321#468—24no—
322#468—42no—
323#467—24no—
324#466—24no—
325#465—24no—
326#465—42no—
327#464—42no—
328#462—24no—
329#452—24no—
330#452—24no—
331#452—42no—
332#450—24no—
333#449—24no—
334#449—24no—
335#449—42no—
336#449—42no—
337#447—24no—
338#440—24no—
339#436—42no—
340#435—24no—
341C2×#107C2311yescharacteristic
342C2×#107C2311yescharacteristic
343C2×#107C2311yescharacteristic
344C2×#107C2311yescharacteristic
345C2×#106C2311yescharacteristic
346C2×#106C2311yescharacteristic
347C2×#106C2311yescharacteristic
348C2×#106C2311yescharacteristic
349C2×C4⋊C8C2311yescharacteristic
350C2×C4⋊C8C2311yescharacteristic
351C2×C4⋊C8C2311yescharacteristic
352#417—24no—
353#416—24no—
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#102—42no—
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387#408—24no—
388#408—42no—
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×#97C2311yescharacteristic
401C2×#97C2311yescharacteristic
402C2×C4×C8C2311yescharacteristic
403#399—21no—
404#399—21no—
405#399—21no—
406#398—21no—
407#398—21no—
408#397—21no—
409#397—21no—
410#396—21no—
411#396—21no—
412#396—21no—
413#396—21no—
414#396—21no—
415#396—21no—
416#396—21no—
417#395—21no—
418#395D411yescharacteristic
419#394—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394—21no—
429#394—21no—
430#394—21no—
431#394—21no—
432#394—21no—
433#394—21no—
434#394—21no—
435#394—21no—
436#394D411yescharacteristic
437#394D411yescharacteristic
438#394D411yescharacteristic
439#393D411yescharacteristic
440#392—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#392—21no—
446#392—21no—
447#392—21no—
448#392D411yescharacteristic
449#392D411yescharacteristic
450#392D411yescharacteristic
451#391C2311yescharacteristic
452#391C2311yescharacteristic
453#390—21no—
454#390—21no—
455#390—21no—
456#390—21no—
457#390—21no—
458#390—21no—
459#390—21no—
460#390—21no—
461#390—21no—
462#390—21no—
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#389—21no—
470#389—21no—
471#389C2311yescharacteristic
472#389C2311yescharacteristic
473#389C2311yescharacteristic
474#389C2311yescharacteristic
475#388—21no—
476#388—21no—
477#388—21no—
478#388—21no—
479#388—21no—
480#388—21no—
481#388—21no—
482#388—21no—
483#387—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386—21no—
489#386—21no—
490#386—21no—
491#386—21no—
492#386—21no—
493#385—21no—
494#385—21no—
495#385—21no—
496#385—21no—
497#385—21no—
498#382—21no—
499#380—21no—
500#380C2311yescharacteristic
501#380C2311yescharacteristic
502#380C2311yescharacteristic
503#380C2311yescharacteristic
504#379—21no—
505#379—21no—
506#379—21no—
507C4×C4⋊C4C2311yescharacteristic
508C4×C4⋊C4C2311yescharacteristic
509C4×C4⋊C4C2311yescharacteristic
510C4×C22⋊C4—21no—
511C4×C22⋊C4C2311yescharacteristic
512C4×C22⋊C4C2311yescharacteristic
513C4×C22⋊C4C2311yescharacteristic
514#376—21no—
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533C25—21no—
534C2×#41—22no—
535C2×#41—22no—
536C2×#41—22no—
537C2×#41—22no—
538C2×#41—22no—
539C2×#41—22no—
540C2×#41—22no—
541C2×#41—22no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41—41no—
555C2×#41—41no—
556C2×#41—41no—
557C2×#41—41no—
558C22×Q8C2×D411yescharacteristic
559C22×Q8C2411yescharacteristic
560C22×Q8C2411yescharacteristic
561C22×Q8C2411yescharacteristic
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—22no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—22no—
581C22×D4—41no—
582C22×D4—41no—
583C22×D4—41no—
584C22×D4—41no—
585C22×D4C2×D411yescharacteristic
586C22×D4C2×D411yescharacteristic
587C22×D4C2×D411yescharacteristic
588C22×D4C2×D411yescharacteristic
589C22×D4C2×D411yescharacteristic
590C22×D4C2×D411yescharacteristic
591C22×D4C2411yescharacteristic
592C22×D4C2411yescharacteristic
593C22×D4C2411yescharacteristic
594C22×D4C2411yescharacteristic
595C23×C4—21no—
596C23×C4—21no—
597C23×C4—21no—
598C23×C4—21no—
599C23×C4—21no—
600C23×C4—21no—
601C23×C4—21no—
602C23×C4C2411yescharacteristic
603C23×C4C2411yescharacteristic
604C23×C4C2411yescharacteristic
605C23×C4C2411yescharacteristic
606AGL(1,ℤ/8)—416no—
607C2×Q16—22no—
608C2×Q16—22no—
609C2×Q16—41no—
610C2×Q16—41no—
611C2×Q16—41no—
612C2×Q16—41no—
613C2×SD16—22no—
614C2×SD16—22no—
615C2×SD16—22no—
616C2×SD16—22no—
617C2×SD16—22no—
618C2×SD16—22no—
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—22no—
634C2×D8—22no—
635C2×D8—22no—
636C2×D8—41no—
637C2×D8—41no—
638C2×D8—41no—
639C2×D8—41no—
640C2×D8—41no—
641C2×D8—41no—
642C2×D8—41no—
643C2×M16—22no—
644C2×M16—22no—
645C2×M16—22no—
646C2×M16—22no—
647C2×M16—41no—
648C2×M16—41no—
649C2×M16—41no—
650C2×M16—41no—
651C2×M16—41no—
652C22×C8—22no—
653C22×C8—22no—
654C22×C8—41no—
655C22×C8—41no—
656C22×C8—41no—
657C22×C8—41no—
658C22×C8C2411yescharacteristic
659C22×C8C2411yescharacteristic
660C22×C8C2411yescharacteristic
661C22×C8C2411yescharacteristic
662C22×C8C2411yescharacteristic
663C22×C8C2411yescharacteristic
664C22×C8C2411yescharacteristic
665C22×C8C2411yescharacteristic
666C4⋊Q8—22no—
667C4⋊Q8—41no—
668#127—22no—
669#127—41no—
670#127—44no—
671#127—44no—
672#126—44no—
673#125—22no—
674#125—41no—
675#125—44no—
676#124—44no—
677#124—41no—
678#124—41no—
679#124—41no—
680#124—41no—
681#124—41no—
682#124—41no—
683#123—44no—
684#123—44no—
685#123—44no—
686C22⋊Q8—22no—
687C22⋊Q8—22no—
688C22⋊Q8—22no—
689C22⋊Q8—22no—
690C22⋊Q8—22no—
691C22⋊Q8—22no—
692C22⋊Q8—22no—
693C22⋊Q8—44no—
694C22⋊Q8—41no—
695C22⋊Q8—41no—
696C22⋊Q8—41no—
697C22⋊Q8—41no—
698C22⋊Q8—41no—
699C22⋊Q8—41no—
700C22⋊Q8—44no—
701C22⋊Q8—41no—
702C22⋊Q8—41no—
703C22⋊Q8—41no—
704C22⋊Q8—41no—
705C22⋊Q8C2×D414yes—
706#121—22no—
707#121—22no—
708#121—22no—
709#121—22no—
710#121—22no—
711#121—22no—
712#121—22no—
713#121—22no—
714#121—22no—
715#121—22no—
716#121—22no—
717#121—44no—
718#121—44no—
719#121—44no—
720#121—44no—
721#121—44no—
722#121—41no—
723#121—41no—
724#121—41no—
725#121—41no—
726#121—41no—
727#121—41no—
728#121—41no—
729#121—44no—
730#121—44no—
731#121—44no—
732#121—44no—
733#121—41no—
734#121—41no—
735#121—41no—
736#121—41no—
737#121—82no—
738#121—82no—
739#121—82no—
740#121—82no—
741#120—44no—
742#120—44no—
743#120—82no—
744C4×Q8—22no—
745C4×Q8—22no—
746C4×Q8—41no—
747C4×Q8—41no—
748C4×D4—22no—
749C4×D4—22no—
750C4×D4—22no—
751C4×D4—41no—
752C4×D4—41no—
753C4×D4—41no—
754C4×D4—41no—
755C4×D4—41no—
756C4×D4—44no—
757C4×D4—82no—
758#117—22no—
759#117—44no—
760#117C2×D414yes—
761C2×C4⋊C4—21no—
762C2×C4⋊C4—22no—
763C2×C4⋊C4—22no—
764C2×C4⋊C4—22no—
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—21no—
775C2×C4⋊C4—21no—
776C2×C4⋊C4—21no—
777C2×C4⋊C4—21no—
778C2×C4⋊C4—21no—
779C2×C4⋊C4—21no—
780C2×C4⋊C4—21no—
781C2×C4⋊C4—21no—
782C2×C4⋊C4—21no—
783C2×C4⋊C4—21no—
784C2×C4⋊C4—21no—
785C2×C4⋊C4—21no—
786C2×C4⋊C4—41no—
787C2×C4⋊C4—41no—
788C2×C4⋊C4—41no—
789C2×C4⋊C4—44no—
790C2×C4⋊C4C2×D411yescharacteristic
791C2×C4⋊C4C2×D411yescharacteristic
792C2×C4⋊C4C2×D411yescharacteristic
793C2×C4⋊C4C2411yescharacteristic
794C2×C4⋊C4C2411yescharacteristic
795C2×C4⋊C4C2411yescharacteristic
796C2×C4⋊C4C2411yescharacteristic
797C2×C4⋊C4C2411yescharacteristic
798C2×C4⋊C4C2411yescharacteristic
799C2×C4⋊C4C2411yescharacteristic
800C2×C4⋊C4C2411yescharacteristic
801C2×C4⋊C4C2411yescharacteristic
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—21no—
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4—21no—
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
836C2×C22⋊C4—21no—
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4C2×D411yescharacteristic
847C2×C22⋊C4C2×D411yescharacteristic
848C2×C22⋊C4C2×D411yescharacteristic
849C2×C22⋊C4C2×D411yescharacteristic
850C2×C22⋊C4C2×D411yescharacteristic
851C2×C22⋊C4C2×D411yescharacteristic
852C2×C22⋊C4C2×D411yescharacteristic
853C2×C22⋊C4C2×D411yescharacteristic
854C2×C22⋊C4C2×D411yescharacteristic
855C2×C22⋊C4C2×D411yescharacteristic
856C2×C22⋊C4C2×D411yescharacteristic
857C2×C22⋊C4C2×D411yescharacteristic
858C2×C42—21no—
859C2×C42—21no—
860C2×C42—21no—
861C2×C42—21no—
862C2×C42—21no—
863C2×C42—21no—
864C2×C42C2411yescharacteristic
865C2×C42C2411yescharacteristic
866C2×C42C2411yescharacteristic
867#107—22no—
868#107—22no—
869#107—41no—
870#107C2×D414yes—
871#106—22no—
872#106—22no—
873#106—41no—
874#106C2×D414yes—
875C4⋊C8—22no—
876C4⋊C8—41no—
877C4⋊C8—41no—
878#103—22no—
879#103—22no—
880#103—22no—
881#103—22no—
882#103—22no—
883#103—22no—
884#103—22no—
885#103—41no—
886#103—41no—
887#103—41no—
888#103—41no—
889#103—41no—
890#103C2×D414yes—
891#103C2×D414yes—
892#102—22no—
893#102—22no—
894#102—22no—
895#102—22no—
896#102—22no—
897#102—22no—
898#102—22no—
899#102—22no—
900#102—22no—
901#102—22no—
902#102—22no—
903#102—22no—
904#102—41no—
905#102—41no—
906#102—41no—
907#102—41no—
908#102—41no—
909#102—41no—
910C22⋊C8—22no—
911C22⋊C8—22no—
912C22⋊C8—22no—
913C22⋊C8—22no—
914C22⋊C8—22no—
915C22⋊C8—22no—
916C22⋊C8—22no—
917C22⋊C8—41no—
918C22⋊C8—41no—
919C22⋊C8—41no—
920C22⋊C8C2×D414yes—
921#97—22no—
922#97—41no—
923C4×C8—22no—
924#95—21no—
925#95—21no—
926#95—21no—
927#95—21no—
928#95—21no—
929#95—21no—
930#95—21no—
931#95—21no—
932#95—21no—
933#95—21no—
934#95—21no—
935#95—21no—
936#95—21no—
937#95—21no—
938#95—21no—
939#95C2×D411yescharacteristic
940#95C2×D411yescharacteristic
941#95C2×D411yescharacteristic
942#95C2×D411yescharacteristic
943#95C2×D411yescharacteristic
944#95C2×D411yescharacteristic
945C24—21no—
946C24—21no—
947C24—21no—
948C24—21no—
949C24—42no—
950C24—81no—
951C24—81no—
952C24—81no—
953C24—81no—
954C24—81no—
955C24—81no—
956C24C22×D411yescharacteristic
957C24C22×D411yescharacteristic
958C24C22×D411yescharacteristic
959C24C22×D411yescharacteristic
960#41—44no—
961#41—44no—
962#41—44no—
963#41—82no—
964#41—82no—
965#41—82no—
966#41—82no—
967#41—82no—
968#41—82no—
969#41—82no—
970#41—82no—
971#41—82no—
972#41—82no—
973#41—82no—
974#41—82no—
975#41—82no—
976C2×Q8—22no—
977C2×Q8—21no—
978C2×Q8—21no—
979C2×Q8—21no—
980C2×Q8—21no—
981C2×Q8—21no—
982C2×Q8—21no—
983C2×Q8—21no—
984C2×Q8—21no—
985C2×Q8—21no—
986C2×Q8—21no—
987C2×Q8—21no—
988C2×Q8—21no—
989C2×Q8—21no—
990C2×Q8—21no—
991C2×Q8—21no—
992C2×Q8—21no—
993C2×Q8—21no—
994C2×Q8—41no—
995C2×Q8—41no—
996C2×Q8C22×D412yes—
997C2×D4—24no—
998C2×D4—22no—
999C2×D4—22no—
1000C2×D4—22no—
1001C2×D4—22no—
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—21no—
1017C2×D4—21no—
1018C2×D4—21no—
1019C2×D4—21no—
1020C2×D4—21no—
1021C2×D4—21no—
1022C2×D4—21no—
1023C2×D4—21no—
1024C2×D4—21no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—41no—
1028C2×D4—41no—
1029C2×D4—41no—
1030C2×D4—41no—
1031C2×D4—41no—
1032C2×D4—41no—
1033C2×D4—41no—
1034C2×D4—41no—
1035C2×D4—41no—
1036C2×D4—41no—
1037C2×D4—41no—
1038C2×D4—41no—
1039C2×D4—41no—
1040C2×D4—41no—
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—82no—
1062C2×D4—82no—
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—81no—
1078C2×D4—81no—
1079C2×D4—81no—
1080C2×D4—81no—
1081C2×D4—81no—
1082C2×D4—81no—
1083C2×D4—81no—
1084C2×D4—81no—
1085C2×D4—81no—
1086C2×D4—81no—
1087C2×D4—81no—
1088C2×D4—81no—
1089C2×D4—81no—
1090C2×D4—81no—
1091C2×D4—81no—
1092C2×D4—81no—
1093C2×D4H(5,𝔽2)12yes—
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—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—42no—
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—42no—
1139C22×C4—42no—
1140C22×C4—81no—
1141C22×C4—81no—
1142C22×C4—81no—
1143C22×C4—81no—
1144C22×C4—81no—
1145C22×C4—81no—
1146C22×C4—81no—
1147C22×C4—81no—
1148C22×C4—81no—
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×C4C22×D411yescharacteristic
1158C22×C4C22×D411yescharacteristic
1159C22×C4C22×D412yes—
1160C22×C4H(5,𝔽2)12yes—
1161C22×C4C2511yescharacteristic
1162Q16—82no—
1163Q16—82no—
1164SD16—44no—
1165SD16—44no—
1166SD16—44no—
1167SD16—82no—
1168SD16—82no—
1169SD16—82no—
1170D8—44no—
1171D8—44no—
1172D8—82no—
1173D8—82no—
1174M16—44no—
1175M16—82no—
1176M16—82no—
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—21no—
1195C2×C8—21no—
1196C2×C8—21no—
1197C2×C8—21no—
1198C2×C8—82no—
1199C2×C8—82no—
1200C2×C8C22×D412yes—
1201C2×C8C22×D412yes—
1202C2×C8H(5,𝔽2)12yes—
1203C4⋊C4—24no—
1204C4⋊C4—22no—
1205C4⋊C4—21no—
1206C4⋊C4—21no—
1207C4⋊C4—21no—
1208C4⋊C4—21no—
1209C4⋊C4—21no—
1210C4⋊C4—21no—
1211C4⋊C4—21no—
1212C4⋊C4—21no—
1213C4⋊C4—21no—
1214C4⋊C4—21no—
1215C4⋊C4—21no—
1216C4⋊C4—21no—
1217C4⋊C4—21no—
1218C4⋊C4—21no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—42no—
1222C4⋊C4—42no—
1223C4⋊C4—42no—
1224C4⋊C4—42no—
1225C4⋊C4—42no—
1226C4⋊C4—42no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—42no—
1232C4⋊C4—42no—
1233C4⋊C4—42no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—81no—
1238C4⋊C4—81no—
1239C4⋊C4—81no—
1240C4⋊C4—81no—
1241C4⋊C4—81no—
1242C4⋊C4C22×D412yes—
1243C4⋊C4C22×D412yes—
1244C4⋊C4C22×D412yes—
1245C4⋊C4H(5,𝔽2)12yes—
1246C22⋊C4—24no—
1247C22⋊C4—24no—
1248C22⋊C4—24no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
1253C22⋊C4—41no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—42no—
1262C22⋊C4—42no—
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—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—
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—
1302C42—24no—
1303C42—21no—
1304C42—21no—
1305C42—21no—
1306C42—21no—
1307C42—21no—
1308C42—21no—
1309C42—42no—
1310C42—42no—
1311C42—81no—
1312C42—81no—
1313C42—81no—
1314C23—21no—
1315C23—21no—
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—21no—
1333C23—21no—
1334C23—21no—
1335C23—22no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
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—41no—
1368C23—41no—
1369C23—84no—
1370C23—162no—
1371C23—162no—
1372C23—162no—
1373C23—162no—
1374C23—162no—
1375C23—162no—
1376C23D4212yes—
1377C23C23×D411yescharacteristic
1378Q8—22no—
1379Q8—22no—
1380Q8—41no—
1381Q8—41no—
1382Q8—41no—
1383Q8—41no—
1384Q8—41no—
1385Q8—41no—
1386Q8—41no—
1387Q8—41no—
1388Q8—41no—
1389Q8—41no—
1390Q8—82no—
1391D4—22no—
1392D4—22no—
1393D4—41no—
1394D4—41no—
1395D4—41no—
1396D4—41no—
1397D4—41no—
1398D4—41no—
1399D4—41no—
1400D4—41no—
1401D4—41no—
1402D4—41no—
1403D4—41no—
1404D4—41no—
1405D4—41no—
1406D4—41no—
1407D4—82no—
1408D4—84no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—84no—
1413D4—82no—
1414D4—82no—
1415D4—84no—
1416D4—84no—
1417D4—84no—
1418D4—84no—
1419D4—162no—
1420D4—162no—
1421D4—162no—
1422D4—162no—
1423D4—162no—
1424D4—162no—
1425D4—162no—
1426D4—162no—
1427D4—162no—
1428D4—162no—
1429D4—162no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
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—84no—
1512C2×C4—84no—
1513C2×C4—84no—
1514C2×C4—84no—
1515C2×C4—84no—
1516C2×C4—162no—
1517C2×C4—162no—
1518C2×C4D4212yes—
1519C2×C4C23×D411yescharacteristic
1520C2×C4C2×H(5,𝔽2)11yescharacteristic
1521C2×C4C2×H(5,𝔽2)11yescharacteristic
1522C2×C4C2×H(5,𝔽2)11yescharacteristic
1523C2×C4C2×H(5,𝔽2)11yescharacteristic
1524C2×C4#58511yescharacteristic
1525C8—22no—
1526C8—22no—
1527C8—22no—
1528C8—41no—
1529C8—41no—
1530C8—41no—
1531C8—41no—
1532C8—41no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—42no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—42no—
1559C22—41no—
1560C22—41no—
1561C22—42no—
1562C22—41no—
1563C22—41no—
1564C22—81no—
1565C22—81no—
1566C22—81no—
1567C22—81no—
1568C22—81no—
1569C22—81no—
1570C22—81no—
1571C22—81no—
1572C22—81no—
1573C22—81no—
1574C22—81no—
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—168no—
1590C22C2×D4211yescharacteristic
1591C22#348411yescharacteristic
1592C22#349611yescharacteristic
1593C22#358411yescharacteristic
1594C22#358511yescharacteristic
1595C22#358511yescharacteristic
1596C22#358611yescharacteristic
1597C4—22no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—42no—
1603C4—41no—
1604C4—41no—
1605C4—42no—
1606C4—42no—
1607C4—41no—
1608C4—42no—
1609C4—41no—
1610C4—41no—
1611C4—42no—
1612C4—81no—
1613C4—81no—
1614C4—81no—
1615C4—81no—
1616C4—81no—
1617C4—81no—
1618C4—81no—
1619C4#348811yescharacteristic
1620C4#349811yescharacteristic
1621C4#353211yescharacteristic
1622C4#354211yescharacteristic
1623C2—42no—
1624C2—81no—
1625C2—81no—
1626C2—81no—
1627C2—82no—
1628C2—161no—
1629C2—161no—
1630C2—161no—
1631C2#4388611yescharacteristic
1632C2#6106311yescharacteristic
1633C2#6109611yescharacteristic
1634C2#6165611yescharacteristic
1635C2#6167811yescharacteristic
1636C2#6231311yescharacteristic
1637C2#6233811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3315C2semidirect
2. C2×#3198C2semidirect
3. #44884C2semidirect
4. #42962C2semidirect
5. #31202C2semidirect
6. #30923C2semidirect
7. #30862C2semidirect
8. #30727C2semidirect
9. #30715C2semidirect
10. #30548C2semidirect
11. #30503C2semidirect
12. #30451C2semidirect
13. #28936C2semidirect
14. #28487C2semidirect
15. #26787C2semidirect
16. #26640C2semidirect
17. #25793C2semidirect
18. #25765C2semidirect
19. #25560C2semidirect
20. #25422C2semidirect
21. #25139C2semidirect
22. #25124C2semidirect
23. #25084C2semidirect
24. #24486C2semidirect
25. #24451C2semidirect
26. #24395C2semidirect
27. #24393C2semidirect
28. #23864C2semidirect
29. #23393C2semidirect
30. #22942C2semidirect
31. #22849C2semidirect
34. C2×#550C22semidirect
43. C2×#491C22semidirect
44. C2×#484C22semidirect
49. C2×#478C22semidirect
50. C2×#470C22semidirect
51. C2×#470C22semidirect
59. C2×#465C22semidirect
61. C2×#462C22semidirect
63. C2×#452C22semidirect
64. C2×#452C22semidirect
71. C2×#440C22semidirect
72. C2×#436C22semidirect
74. C2×#417C22semidirect
94. #2540C22semidirect
100. #2432C22semidirect
102. #2429C22semidirect
104. #2428C22semidirect
107. #2417C22semidirect
113. #2407C22semidirect
115. #2361C22semidirect
118. #2068C22semidirect
120. #2067C22semidirect
122. #2059C22semidirect
126. #2042C22semidirect
127. #2041C22semidirect
128. #2036C22semidirect
129. #2035C22semidirect
130. #2035C22semidirect
132. #2034C22semidirect
133. #2033C22semidirect
134. #2025C22semidirect
142. #2001C22semidirect
143. #2001C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
159. #1983C22semidirect
160. #1982C22semidirect
164. #1955C22semidirect
165. #1943C22semidirect
167. #1933C22semidirect
168. #1927C22semidirect
169. #1927C22semidirect
170. #1926C22semidirect
172. #1924C22semidirect
173. #1923C22semidirect
174. #1921C22semidirect
175. #1919C22semidirect
177. #1895C22semidirect
180. #1892C22semidirect
182. #1880C22semidirect
185. #1874C22semidirect
187. #1872C22semidirect
189. #1870C22semidirect
190. #1869C22semidirect
191. #1865C22semidirect
192. #1863C22semidirect
194. #1852C22semidirect
195. #1852C22semidirect
196. #1851C22semidirect
199. #1788C22semidirect
200. C4×#106C22semidirect
201. #1763C22semidirect
203. #1752C22semidirect
311. #485D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33152
C2×#31982
#448842
#429622
#312022
#309232
#308622
#307272
#307152
#305482
#305032
#304512
#289362
#284872
#267872
#266402
#257932
#257652
#255602
#254222
#251392
#251242
#250842
#244862
#244512
#243952
#243932
#238642
#233932
#229422
#228492