Finite Group Databasebeta

← Group #11792666

Character table — Group #11792666

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424242424242424242472727272
order1244222334446666661212121212121212366666666666888812121212121212121212121224242424242424242424242424242424242424242424242424242424242424242244666688881212121224242424242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-11-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-11-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ711111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-1-1-111-1-1
χ811111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111
χ922222222-122222-1-12-122-1-122-1-1-122-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1020200-1-1002200-1-10000-1-1-1-10000
χ1022222222-122222-1-12-122-1-122-1-1-122-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-20-2001100-2-20011000011110000
χ1122222222-122222-1-12-122-1-122-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111020200-1-100-2-200-1-1000011110000
χ1222222222-122222-1-12-122-1-122-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111110-20-20011002200110000-1-1-1-10000
χ132222222-12222-1-122-12-1-122-1-122-1-1-122-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12020-1-1002200-1-100-1-1-1-100000000
χ142222222-12222-1-122-12-1-122-1-122-1-1-122-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-20-201100-2-2001100111100000000
χ152222222-12222-1-122-12-1-122-1-122-1-1-122-1-1-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-211111111111111112020-1-100-2-200-1-100111100000000
χ162222222-12222-1-122-12-1-122-1-122-1-1-122-1-1-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-21111111111111111-20-20110022001100-1-1-1-100000000
χ1722222-2-2222-2-222-2-222222222-2-22-2-22-222-2-2-2-220000-2-22-222-2-2-2-22200000000000000000000000000000000000000002-200000022-2-200000000
χ1822222-2-2222-2-222-2-222222222-2-22-2-22-222-2-2-2-220000-2-22-222-2-2-2-2220000000000000000000000000000000000000000-22000000-2-22200000000
χ1922222-2-2-122-2-2-1-1-2-2-12-1-122-1-1-2-2-1112-2-1-11111-10000112-2-1-11111-1-1−i3−i3−i3−i3i3i3i3i300000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i30000−i3i3002-200−i3i300-1-11100000000
χ2022222-2-2-122-2-2-1-1-2-2-12-1-122-1-1-2-2-1112-2-1-11111-10000112-2-1-11111-1-1−i3−i3−i3−i3i3i3i3i300000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i30000i3−i300-2200i3−i30011-1-100000000
χ2122222-2-2-122-2-2-1-1-2-2-12-1-122-1-1-2-2-1112-2-1-11111-10000112-2-1-11111-1-1i3i3i3i3−i3−i3−i3−i300000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i30000−i3i300-2200−i3i30011-1-100000000
χ2222222-2-2-122-2-2-1-1-2-2-12-1-122-1-1-2-2-1112-2-1-11111-10000112-2-1-11111-1-1i3i3i3i3−i3−i3−i3−i300000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i30000i3−i3002-200i3−i300-1-11100000000
χ232222-22-222-22-2-2-222222222-2-22222-2-2-2-2-222-2-2200002-2-2-2-2-222-2-2220000000000000000000000000000000000000000002-20000000022-2-20000
χ242222-22-222-22-2-2-222222222-2-22222-2-2-2-2-222-2-2200002-2-2-2-2-222-2-222000000000000000000000000000000000000000000-2200000000-2-2220000
χ252222-22-22-1-22-2-2-2-1-12-122-1-1-2-2-1-1-12-21111-1-111-100002-21111-1-111-1-100000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3000000−i3i3002-200−i3i30000-1-1110000
χ262222-22-22-1-22-2-2-2-1-12-122-1-1-2-2-1-1-12-21111-1-111-100002-21111-1-111-1-100000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3000000i3−i300-2200i3−i3000011-1-10000
χ272222-22-22-1-22-2-2-2-1-12-122-1-1-2-2-1-1-12-21111-1-111-100002-21111-1-111-1-100000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3000000−i3i300-2200−i3i3000011-1-10000
χ282222-22-22-1-22-2-2-2-1-12-122-1-1-2-2-1-1-12-21111-1-111-100002-21111-1-111-1-100000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3000000i3−i3002-200i3−i30000-1-1110000
χ292222-2-2222-2-22-2-2-2-2222222-2-2-2-22-22-22-2-2-2-22220000-22-22-2-2-2-2222200000000000000000000000000000000000000000000000000000000002-2
χ302222-2-2222-2-22-2-2-2-2222222-2-2-2-22-22-22-2-2-2-22220000-22-22-2-2-2-222220000000000000000000000000000000000000000000000000000000000-22
χ3122-2-222222-2-2-2222222-2-2-2-2-2-2-2-22222222222222i2i−2i−2i-2-2-2-2-2-2-2-2-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ3222-2-222222-2-2-2222222-2-2-2-2-2-2-2-2222222222222−2i−2i2i2i-2-2-2-2-2-2-2-2-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ3322-2-22222-1-2-2-222-1-12-1-2-211-2-211-122-1-1-1-1-1-1-1-1-12i2i−2i−2i-2-211111111112i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii000000−i3i3000000i3−i300003−33−30000
χ3422-2-22222-1-2-2-222-1-12-1-2-211-2-211-122-1-1-1-1-1-1-1-1-12i2i−2i−2i-2-211111111112i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii000000i3−i3000000−i3i30000−33−330000
χ3522-2-22222-1-2-2-222-1-12-1-2-211-2-211-122-1-1-1-1-1-1-1-1-1−2i−2i2i2i-2-21111111111−2i−2i2i2i−2i−2i2i2iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i000000−i3i3000000i3−i30000−33−330000
χ3622-2-22222-1-2-2-222-1-12-1-2-211-2-211-122-1-1-1-1-1-1-1-1-1−2i−2i2i2i-2-21111111111−2i−2i2i2i−2i−2i2i2iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i000000i3−i3000000−i3i300003−33−30000
χ3722-2-2222-12-2-2-2-1-122-1211-2-211-2-2-1-1-122-1-1-1-1-1-1-12i2i−2i−2i11-2-211111111−i−iii−i−iii2i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−i−iii−i−iii0000−i3i3000000i3−i3003−33−300000000
χ3822-2-2222-12-2-2-2-1-122-1211-2-211-2-2-1-1-122-1-1-1-1-1-1-12i2i−2i−2i11-2-211111111−i−iii−i−iii2i2i−2i−2i2i2i−2i−2i−i−iii−i−iii−i−iii−i−iii0000i3−i3000000−i3i300−33−3300000000
χ3922-2-2222-12-2-2-2-1-122-1211-2-211-2-2-1-1-122-1-1-1-1-1-1-1−2i−2i2i2i11-2-211111111ii−i−iii−i−i−2i−2i2i2i−2i−2i2i2iii−i−iii−i−iii−i−iii−i−i0000−i3i3000000i3−i300−33−3300000000
χ4022-2-2222-12-2-2-2-1-122-1211-2-211-2-2-1-1-122-1-1-1-1-1-1-1−2i−2i2i2i11-2-211111111ii−i−iii−i−i−2i−2i2i2i−2i−2i2i2iii−i−iii−i−iii−i−iii−i−i0000i3−i3000000−i3i3003−33−300000000
χ4122-2-22-2-222-22222-2-222-2-2-2-2-2-2222-2-22-222-2-2-2-22000022-22-2-22222-2-20000000000000000000000000000000020-2022000000-2-200000000000000
χ4222-2-22-2-222-22222-2-222-2-2-2-2-2-2222-2-22-222-2-2-2-22000022-22-2-22222-2-200000000000000000000000000000000-2020-2-20000002200000000000000
χ4322-2-22-2-2-12-222-1-1-2-2-1211-2-21122-1112-2-1-11111-10000-1-1-2211-1-1-1-11133−3−3−3−3330000000033−3−333−3−3−3−333−3−33320-20-1-100000011003−3−3300000000
χ4422-2-22-2-2-12-222-1-1-2-2-1211-2-21122-1112-2-1-11111-10000-1-1-2211-1-1-1-11133−3−3−3−3330000000033−3−333−3−3−3−333−3−333-202011000000-1-100−333−300000000
χ4522-2-22-2-2-12-222-1-1-2-2-1211-2-21122-1112-2-1-11111-10000-1-1-2211-1-1-1-111−3−33333−3−300000000−3−333−3−33333−3−333−3−320-20-1-10000001100−333−300000000
χ4622-2-22-2-2-12-222-1-1-2-2-1211-2-21122-1112-2-1-11111-10000-1-1-2211-1-1-1-111−3−33333−3−300000000−3−333−3−33333−3−333−3−3-202011000000-1-1003−3−3300000000
χ4722-2-2-22-2222-22-2-22222-2-2-2-222-2-222-2-2-2-2-222-2-220000-222222-2-222-2-200000000000000000000000000000000020-20022000000-2-2000000000000
χ4822-2-2-22-2222-22-2-22222-2-2-2-222-2-222-2-2-2-2-222-2-220000-222222-2-222-2-2000000000000000000000000000000000-20200-2-200000022000000000000
χ4922-2-2-22-22-12-22-2-2-1-12-1-2-2112211-12-21111-1-111-10000-22-1-1-1-111-1-1110000000033−3−3−3−33333−3−3−3−33333−3−3−3−333020-200-1-10000001100003−3−330000
χ5022-2-2-22-22-12-22-2-2-1-12-1-2-2112211-12-21111-1-111-10000-22-1-1-1-111-1-1110000000033−3−3−3−33333−3−3−3−33333−3−3−3−3330-2020011000000-1-10000−333−30000
χ5122-2-2-22-22-12-22-2-2-1-12-1-2-2112211-12-21111-1-111-10000-22-1-1-1-111-1-11100000000−3−33333−3−3−3−33333−3−3−3−33333−3−3020-200-1-1000000110000−333−30000
χ5222-2-2-22-22-12-22-2-2-1-12-1-2-2112211-12-21111-1-111-10000-22-1-1-1-111-1-11100000000−3−33333−3−3−3−33333−3−3−3−33333−3−30-2020011000000-1-100003−3−330000
χ5322-2-2-2-222222-2-2-2-2-222-2-2-2-222222-22-22-2-2-2-222200002-22-22222-2-2-2-2000000000000000000000000000000000000000000000000000000002-200
χ5422-2-2-2-222222-2-2-2-2-222-2-2-2-222222-22-22-2-2-2-222200002-22-22222-2-2-2-200000000000000000000000000000000000000000000000000000000-2200
χ554444444-2-2444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-211111114444-2-2-2-211111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111110000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-21111111-4-4-4-4-2-2-2-2111111112222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
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χ654444-4-44-2-2-4-442222-2-2-2-2-2-2222212-22-2-1-1-1-111100002-22-2-1-1-1-1111100000000000000003333-3-3-3-3-3-3-3-333330000000000000000000000000000
χ664444-4-44-2-2-4-442222-2-2-2-2-2-2222212-22-2-1-1-1-111100002-22-2-1-1-1-111110000000000000000-3-3-3-333333333-3-3-3-30000000000000000000000000000
χ6744-4-4444-2-2-4-4-4-2-2-2-2-2-2222222221-2-2-2-211111114i4i−4i−4i2222-1-1-1-1-1-1-1-1−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2iii−i−iii−i−iii−i−iii−i−i0000000000000000000000000000
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χ7044-4-44-4-4-2-2-444-2-222-2-2222222-2-2122-2211-1-1-1-110000-2-22-2-1-11111-1-12323−23−23−23−23232300000000−3−333−3−33333−3−333−3−30000000000000000000000000000
χ7144-4-44-4-4-2-2-444-2-222-2-2222222-2-2122-2211-1-1-1-110000-2-22-2-1-11111-1-1−23−2323232323−23−230000000033−3−333−3−3−3−333−3−3330000000000000000000000000000
χ7244-4-4-44-4-244-442244-2422-4-4-2-2-4-4-2-22-4-422-2-222-200002-244-2-222-2-222000000000000000000000000000000000000000000000000000000000000
χ7344-4-4-44-4-2-24-4422-2-2-2-22222-2-2221-2222-1-111-1-1100002-2-2-211-1-111-1-1000000002323−23−23−23−232323−3−33333−3−3−3−33333−3−30000000000000000000000000000
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χ1114-4−4i4i000-2-20002i3−2i3−2i32i3222i−2i2i−2i23−23−232310000−i3i3i3−i3-33-1−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−333−33i−3i−ii2ζ5−2ζ5−2ζ232ζ232ζ13−2ζ13−2ζ72ζ72ζ13−2ζ13−2ζ72ζ72ζ5−2ζ5−2ζ232ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−3ζ5−ζ133ζ5+ζ13ζ7+3ζ23−ζ7−3ζ23−ζ5−3ζ13ζ5+3ζ133ζ7+ζ23−3ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ230000000000000000000000000000
χ1124-4−4i4i000-2-20002i3−2i3−2i32i3222i−2i2i−2i23−23−232310000−i3i3i3−i3-33-12ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−333−33i−3i−ii−2ζ52ζ52ζ23−2ζ23−2ζ132ζ132ζ7−2ζ7−2ζ132ζ132ζ7−2ζ7−2ζ52ζ52ζ23−2ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ233ζ5+ζ13−3ζ5−ζ13−ζ7−3ζ23ζ7+3ζ23ζ5+3ζ13−ζ5−3ζ13−3ζ7−ζ233ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ230000000000000000000000000000
χ1134-4−4i4i000-2-20002i3−2i32i3−2i3222i−2i2i−2i23−2323−2310000−i3i3−i3i33-3-1−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−33−33−3i3i−ii2ζ5−2ζ5−2ζ232ζ232ζ13−2ζ13−2ζ72ζ72ζ5−2ζ5−2ζ232ζ232ζ13−2ζ13−2ζ72ζ7−3ζ5−ζ133ζ5+ζ13ζ7+3ζ23−ζ7−3ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−3ζ13ζ5+3ζ133ζ7+ζ23−3ζ7−ζ230000000000000000000000000000
χ1144-4−4i4i000-2-20002i3−2i32i3−2i3222i−2i2i−2i23−2323−2310000−i3i3−i3i33-3-12ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−33−33−3i3i−ii−2ζ52ζ52ζ23−2ζ23−2ζ132ζ132ζ7−2ζ7−2ζ52ζ52ζ23−2ζ23−2ζ132ζ132ζ7−2ζ73ζ5+ζ13−3ζ5−ζ13−ζ7−3ζ23ζ7+3ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+3ζ13−ζ5−3ζ13−3ζ7−ζ233ζ7+ζ230000000000000000000000000000

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