Finite Group Databasebeta

← Group #10595449

Character table — Group #10595449

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size1122222222222224444444444444444466666688888812121212121212121212121212121212121212121236363636
order12222334444661212366666661212121212121212128824242424666121212222466666688812122424242424242224
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111-1-1111-1-11111111-1-11-1-111-1-111-1-1111111111-1-11-1-111-1-11111-1-11-1-1-1-111-1-1-1-111-1-1
χ6111-1-1111-1-11111111-1-11-1-111-1-111-1-1111111111-1-11-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1-1-111
χ7111-1-1111-1-11111111-1-11-1-111-1-111-1-111-1-1-1-1-1-11-1-11-1-111-1-11111-1-1-111-1-1-1-11111-1-111
χ8111-1-1111-1-11111111-1-11-1-111-1-111-1-111-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-111-11111-1-1111111-1-1
χ911-11-111-11-1111111-11-1-11-11-11-11-11-111111111-11-1-11-11-11-111-1-111-11-1-1-1-1-111-1-11-11-1
χ1011-11-111-11-1111111-11-1-11-11-11-11-11-111111111-11-1-11-1-11-11-1-111-1-1-11-111-1-111-1-1-11-11
χ1111-11-111-11-1111111-11-1-11-11-11-11-11-111-1-1-1-1-1-1-11-1-11-11-11-111-1-1111-11-1-111-1-111-11-11
χ1211-11-111-11-1111111-11-1-11-11-11-11-11-111-1-1-1-1-1-1-11-1-11-1-11-11-1-111-1-11-111111-1-1111-11-1
χ1311-1-1111-1-11111111-1-11-1-111-1-111-1-1111111111-1-11-1-111-1-1111-1-1-1-1-1-1111-1-1-1-1111-1-11
χ1411-1-1111-1-11111111-1-11-1-111-1-111-1-1111111111-1-11-1-11-111-1-1-11111-1-11-1-1-1-1-1-111-111-1
χ1511-1-1111-1-11111111-1-11-1-111-1-111-1-1111-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-111-1111111-1-1-111-1
χ1611-1-1111-1-11111111-1-11-1-111-1-111-1-1111-1-1-1-1-1-1-1-11-1-11-111-1-1-1111111-1-1-11111-1-11-1-11
χ17222222-122222-122-1222-1-1-1-1222-1-1-1-1-1-1000000-1-1-1-1-1-12222-1-1-1-1-1-1000-1-10000000000
χ18222222-122222-122-1222-1-1-1-1222-1-1-1-1-1-1000000-1-1-1-1-1-1-2-2-2-2111111000110000000000
χ1922222-122222-12-1-1-1-1-1-1222-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1000000000022200-1-1-1-1-1-10000
χ2022222-122222-12-1-1-1-1-1-1222-1-1-1-12222-1-1-2-21111-1-1-1-1-1-10000000000-2-2-2001111110000
χ212222-222-2-22-222-2-2222-222-22-2-22-2-2-22-2-200000022-2-2-220000000000000000000000000
χ222222-22-1-2-22-22-1-2-2-122-2-1-11-1-2-22111-111000000-1-1111-10000−i3i3−i3i3−i3i3000−i3i30000000000
χ232222-22-1-2-22-22-1-2-2-122-2-1-11-1-2-22111-111000000-1-1111-10000i3−i3i3−i3i3−i3000i3−i30000000000
χ242222-2-12-2-22-2-1211-1-1-1122-2-111-1-2-2-22110033−3−3-1-1111-10000000000000003−33−33−30000
χ252222-2-12-2-22-2-1211-1-1-1122-2-111-1-2-2-221100−3−333-1-1111-1000000000000000−33−33−330000
χ26222-2222-22-2-222-2-222-222-222-22-2-2-22-2-2-20000002-22-22-20000000000000000000000000
χ27222-222-1-22-2-22-1-2-2-12-22-11-1-1-22-211-1111000000-11-11-110000−i3i3−i3i3i3−i3000i3−i30000000000
χ28222-222-1-22-2-22-1-2-2-12-22-11-1-1-22-211-1111000000-11-11-110000i3−i3i3−i3−i3i3000−i3i30000000000
χ29222-22-12-22-2-2-1211-1-11-12-22-11-11-2-22-2110033−3−3-11-11-110000000000000003−3−33−330000
χ30222-22-12-22-2-2-1211-1-11-12-22-11-11-2-22-21100−3−333-11-11-11000000000000000−333−33−30000
χ31222-2-22-12-2-222-122-12-2-2-111-12-2-2-1-111-1-1000000-111-11122-2-2-1-1-1-111000110000000000
χ32222-2-22-12-2-222-122-12-2-2-111-12-2-2-1-111-1-1000000-111-111-2-2221111-1-1000-1-10000000000
χ33222-2-2-122-2-22-12-1-1-1-1112-2-2-1-11122-2-2-1-122-1-1-1-1-111-11100000000002-2-200-1-111110000
χ34222-2-2-122-2-22-12-1-1-1-1112-2-2-1-11122-2-2-1-1-2-21111-111-1110000000000-2220011-1-1-1-10000
χ3522-222222-2-2-222-2-22-222-22222-2-2-22-2-2-2-2000000-2222-2-20000000000000000000000000
χ3622-2222-12-2-2-22-1-2-2-1-2221-1-1-12-2-21-111110000001-1-1-1110000−i3i3i3−i3−i3i3000i3−i30000000000
χ3722-2222-12-2-2-22-1-2-2-1-2221-1-1-12-2-21-111110000001-1-1-1110000i3−i3−i3i3i3−i3000−i3i30000000000
χ3822-222-122-2-2-2-1211-11-1-1-222-1-111-22-2-2110033−3−31-1-1-111000000000000000−333−3−330000
χ3922-222-122-2-2-2-1211-11-1-1-222-1-111-22-2-21100−3−3331-1-1-1110000000000000003−3−333−30000
χ4022-22-22-1-22-222-122-1-22-21-11-1-22-2-11-11-1-10000001-111-112-22-2-1-111-1-1000110000000000
χ4122-22-22-1-22-222-122-1-22-21-11-1-22-2-11-11-1-10000001-111-11-22-2211-1-111000-1-10000000000
χ4222-22-2-12-22-22-12-1-1-11-11-22-2-11-112-22-2-1-122-1-1-1-11-111-110000000000-22-20011-1-1110000
χ4322-22-2-12-22-22-12-1-1-11-11-22-2-11-112-22-2-1-1-2-211111-111-1100000000002-2200-1-111-1-10000
χ4422-2-222-1-2-2222-122-1-2-2211-1-1-2-22-111-1-1-100000011-111-12-2-22-1-11111000-1-10000000000
χ4522-2-222-1-2-2222-122-1-2-2211-1-1-2-22-111-1-1-100000011-111-1-222-211-1-1-1-1000110000000000
χ4622-2-22-12-2-222-12-1-1-111-1-2-22-111-12-2-22-1-122-1-1-1-111-111-10000000000-2-22001111-1-10000
χ4722-2-22-12-2-222-12-1-1-111-1-2-22-111-12-2-22-1-1-2-2111111-111-1000000000022-200-1-1-1-1110000
χ4822-2-2-222222-222-2-22-2-2-2-2-2-22222-2222-2-2000000-2-2-22220000000000000000000000000
χ4922-2-2-22-1222-22-1-2-2-1-2-2-2111-12221-1-1-111000000111-1-1-10000−i3i3i3−i3i3−i3000−i3i30000000000
χ5022-2-2-22-1222-22-1-2-2-1-2-2-2111-12221-1-1-111000000111-1-1-10000i3−i3−i3i3−i3i3000i3−i30000000000
χ5122-2-2-2-12222-2-1211-1111-2-2-2-1-1-1-1-2222110033−3−3111-1-1-1000000000000000−33−333−30000
χ5222-2-2-2-12222-2-1211-1111-2-2-2-1-1-1-1-22221100−3−333111-1-1-10000000000000003−33−3−330000
χ5344444-2-24444-2-2-2-21-2-2-2-2-2-21-2-2-2-2-2-2-2110000001111110000000000000000000000000
χ544444-4-2-2-4-44-4-2-2221-2-22-2-22122-2222-2-1-100000011-1-1-110000000000000000000000000
χ55444-44-2-2-44-4-4-2-2221-22-2-22-212-2222-22-1-10000001-11-11-10000000000000000000000000
χ56444-4-4-2-24-4-44-2-2-2-21-222-2221-222-2-222110000001-1-11-1-10000000000000000000000000
χ5744-444-2-24-4-4-4-2-22212-2-22-2-21-2222-222-1-1000000-1111-1-10000000000000000000000000
χ5844-44-4-2-2-44-44-2-2-2-212-222-2212-22-22-2211000000-11-1-11-10000000000000000000000000
χ5944-4-44-2-2-4-444-2-2-2-2122-222-2122-2-222-211000000-1-11-1-110000000000000000000000000
χ6044-4-4-4-2-2444-4-2-22212222221-2-2-22-2-2-2-1-1000000-1-1-11110000000000000000000000000
χ614-4000440000-4-4004000000-400000000022−2222−2222−220000000000000000000000000000000
χ624-4000440000-4-4004000000-4000000000−2222−2222−22220000000000000000000000000000000
χ634-4000-2400002-423−23-20000002000000023−2322−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000000000000000000000000000000
χ644-4000-2400002-423−23-20000002000000023−23−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ230000000000000000000000000000000
χ654-4000-2400002-4−2323-200000020000000−232322−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000000000000000000000000000000
χ664-4000-2400002-4−2323-200000020000000−2323−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ70000000000000000000000000000000
χ678-80008-40000-8400-400000040000000000000000000000000000000000000000000000
χ688-8000-4-400004443−432000000-20000000−23230000000000000000000000000000000000000
χ698-8000-4-4000044−43432000000-2000000023−230000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.