Finite Group Databasebeta

← Group #11793993

Character table — Group #11793993

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order1244222334446666121212121212366666666121212121212121212668812122424242424242424242424242424242488882424242424242424224444666612121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-111-1-1-1-1-1-111-1-111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-1-1-111-1-1-1-1-1-111-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1111111-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1111111-1-11111-1-1
χ922222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000222200-1-1-1-10000-1-1-1-10000
χ1022222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2001111000011110000
χ1122222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000000000002-22-200-1-1110000-1-1110000
χ1222222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111000000000000-22-220011-1-1000011-1-10000
χ132222222-12222-1-1-12-1-122-1-1-1-1-1222-1-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000220000-1-1-1-100000000
χ142222222-12222-1-1-12-1-122-1-1-1-1-1222-1-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111110000-2-20000111100000000
χ152222222-12222-1-1-12-1-122-1-1-1-1-1222-1-1-1-1-122-1-12-1-1-1-1-2-2-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-10000-2-20000111100000000
χ162222222-12222-1-1-12-1-122-1-1-1-1-1222-1-1-1-1-122-1-12-1-1-1-1-2-2-1-11111-2-2-2-211111111-2-2-2-2111111110000220000-1-1-1-100000000
χ1722222-2-222-2-2222222222222-2-22-2-2222-2-2-2-222222-2-22-2-2-222-2-222-2-22222-2-2-2-20000000000000000000000000000000000
χ1822222-2-222-2-2222222222222-2-22-2-2222-2-2-2-222222-2-2-22-2-2-2-222-2-222-2-2-2-222220000000000000000000000000000000000
χ1922222-2-22-1-2-22222-122-1-122-1-2-2-111-1-1-1-2-211-1-1-1-1-1112-21122-2-2-1-111-1-1-1-11111000000000000000000−i3i3−i3i30000−i3i3−i3i30000
χ2022222-2-22-1-2-22222-122-1-122-1-2-2-111-1-1-1-2-211-1-1-1-1-1112-21122-2-2-1-111-1-1-1-11111000000000000000000i3−i3i3−i30000i3−i3i3−i30000
χ2122222-2-22-1-2-22222-122-1-122-1-2-2-111-1-1-1-2-211-1-1-1-1-111-2211-2-22211-1-11111-1-1-1-1000000000000000000−i3i3i3−i30000−i3i3i3−i30000
χ2222222-2-22-1-2-22222-122-1-122-1-2-2-111-1-1-1-2-211-1-1-1-1-111-2211-2-22211-1-11111-1-1-1-1000000000000000000i3−i3−i3i30000i3−i3−i3i30000
χ2322222-2-2-12-2-22-1-1-12-1-122-1-1-1112-2-2-1-1-111-2-2-1-12-1-1112-211-1-11122-2-2-1-1-1-111110000−i3−i3−i3−i3i3i3i3i30000000000−i3−i3i3i300000000
χ2422222-2-2-12-2-22-1-1-12-1-122-1-1-1112-2-2-1-1-111-2-2-1-12-1-1112-211-1-11122-2-2-1-1-1-111110000i3i3i3i3−i3−i3−i3−i30000000000i3i3−i3−i300000000
χ2522222-2-2-12-2-22-1-1-12-1-122-1-1-1112-2-2-1-1-111-2-2-1-12-1-111-221111-1-1-2-2221111-1-1-1-10000−i3−i3−i3−i3i3i3i3i30000000000i3i3−i3−i300000000
χ2622222-2-2-12-2-22-1-1-12-1-122-1-1-1112-2-2-1-1-111-2-2-1-12-1-111-221111-1-1-2-2221111-1-1-1-10000i3i3i3i3−i3−i3−i3−i30000000000−i3−i3i3i300000000
χ272222-22-2222-2-22-2-222222-2-222-2-22-2-2-222-22-222-2-2-22-2002-20000000000000000000000000000000000000000000000002i−2i
χ282222-22-2222-2-22-2-222222-2-222-2-22-2-2-222-22-222-2-2-22-2002-2000000000000000000000000000000000000000000000000−2i2i
χ292222-2-2222-22-22-2-222222-2-22-22-2-22-2-22-22-2222-2-2-2-2200-2200000000000000000000000000000000000000000000002i−2i00
χ302222-2-2222-22-22-2-222222-2-22-22-2-22-2-22-22-2222-2-2-2-2200-220000000000000000000000000000000000000000000000−2i2i00
χ3122-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000000000002-200002-22-200000000
χ3222-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000000000000-220000-22-2200000000
χ3322-2-2222-12-2-2-2-1-1-1211-2-211-1-1-1222-1-1-111-2-211-211-1-100113−33−3000033−3−333−3−3000033−3−333−3−300002-20000-11-1100000000
χ3422-2-2222-12-2-2-2-1-1-1211-2-211-1-1-1222-1-1-111-2-211-211-1-100113−33−3000033−3−333−3−30000−3−333−3−3330000-2200001-11-100000000
χ3522-2-2222-12-2-2-2-1-1-1211-2-211-1-1-1222-1-1-111-2-211-211-1-10011−33−330000−3−333−3−333000033−3−333−3−30000-2200001-11-100000000
χ3622-2-2222-12-2-2-2-1-1-1211-2-211-1-1-1222-1-1-111-2-211-211-1-10011−33−330000−3−333−3−3330000−3−333−3−33300002-20000-11-1100000000
χ3722-2-22-2-22222-22222-2-2-2-2-2-22-2-22-2-22222222-2-2-2-2-2-2-2002200000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ3822-2-22-2-22222-22222-2-2-2-2-2-22-2-22-2-22222222-2-2-2-2-2-2-200220000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ3922-2-22-2-2-1222-2-1-1-1211-2-211-1112-2-2-1-1-1-1-12211-2111100-1-13−3−33000033−3−3−3−3332i2i−2i−2i−i−iiiii−i−i0000000000−i3i3i3−i300000000
χ4022-2-22-2-2-1222-2-1-1-1211-2-211-1112-2-2-1-1-1-1-12211-2111100-1-13−3−33000033−3−3−3−333−2i−2i2i2iii−i−i−i−iii0000000000i3−i3−i3i300000000
χ4122-2-22-2-2-1222-2-1-1-1211-2-211-1112-2-2-1-1-1-1-12211-2111100-1-1−333−30000−3−33333−3−32i2i−2i−2i−i−iiiii−i−i0000000000i3−i3−i3i300000000
χ4222-2-22-2-2-1222-2-1-1-1211-2-211-1112-2-2-1-1-1-1-12211-2111100-1-1−333−30000−3−33333−3−3−2i−2i2i2iii−i−i−i−iii0000000000−i3i3i3−i300000000
χ4322-2-2-22-222-2222-2-22-2-2-2-22222-2-22-2-2-22-22-22-2-22222-200-22000000000000000000000000000020-200022000000-2-2000000
χ4422-2-2-22-222-2222-2-22-2-2-2-22222-2-22-2-2-22-22-22-2-22222-200-220000000000000000000000000000-202000-2-200000022000000
χ4522-2-2-22-22-1-2222-2-2-1-2-21122-12-21-1111-1-221-111-1-1-1-11001-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000000020-2000-1-1−i3i3000011i3−i30000
χ4622-2-2-22-22-1-2222-2-2-1-2-21122-12-21-1111-1-221-111-1-1-1-11001-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000-20200011i3−i30000-1-1−i3i30000
χ4722-2-2-22-22-1-2222-2-2-1-2-21122-12-21-1111-1-221-111-1-1-1-11001-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000000020-2000-1-1i3−i3000011−i3i30000
χ4822-2-2-22-22-1-2222-2-2-1-2-21122-12-21-1111-1-221-111-1-1-1-11001-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000-20200011−i3i30000-1-1i3−i30000
χ4922-2-2-2-22222-222-2-22-2-2-2-2222-22-2-22-2-222-22-2-2-2222-22002-20000000000000000000000000000020-2000022000000-2-20000
χ5022-2-2-2-22222-222-2-22-2-2-2-2222-22-2-22-2-222-22-2-2-2222-22002-200000000000000000000000000000-2020000-2-2000000220000
χ5122-2-2-2-222-12-222-2-2-1-2-21122-1-2211-111-12-2-1111-1-1-11-100-110000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i3000000000000020-200−i3i3-1-10000i3−i3110000
χ5222-2-2-2-222-12-222-2-2-1-2-21122-1-2211-111-12-2-1111-1-1-11-100-110000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i30000000000000-20200i3−i3110000−i3i3-1-10000
χ5322-2-2-2-222-12-222-2-2-1-2-21122-1-2211-111-12-2-1111-1-1-11-100-110000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i3000000000000020-200i3−i3-1-10000−i3i3110000
χ5422-2-2-2-222-12-222-2-2-1-2-21122-1-2211-111-12-2-1111-1-1-11-100-110000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i30000000000000-20200−i3i3110000i3−i3-1-10000
χ554444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-211-211114411-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-211-21111-4-41122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ5744444-4-4-2-2-4-44-2-2-2-2-2-2-2-2-2-2122-222111222211-211-1-14-4-1-1-2-222-2-2221111-1-1-1-10000000000000000000000000000000000
χ5844444-4-4-2-2-4-44-2-2-2-2-2-2-2-2-2-2122-222111222211-211-1-1-44-1-122-2-222-2-2-1-1-1-111110000000000000000000000000000000000
χ594444-44-44-24-4-44-4-4-244-2-2-4-4-24-42-2222-24-4-22-2-2222-2200-2200000000000000000000000000000000000000000000000000
χ604444-44-4-244-4-4-2224-2-24422-2-22-44-422-2-224-4-2-2-422-2200-2200000000000000000000000000000000000000000000000000
χ614444-44-4-2-24-4-4-222-2-2-2-2-2221-222-22-1-11-22-22112-1-11-1001-1000000003i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000
χ624444-44-4-2-24-4-4-222-2-2-2-2-2221-222-22-1-11-22-22112-1-11-1001-100000000−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000
χ634444-4-444-2-44-44-4-4-244-2-2-4-4-2-4422-222-2-442-2-2-22222-2002-200000000000000000000000000000000000000000000000000
χ644444-4-44-24-44-4-2224-2-24422-22-2-4-4422-22-2-44-2-2-4222-2002-200000000000000000000000000000000000000000000000000
χ654444-4-44-2-2-44-4-222-2-2-2-2-22212-222-2-1-112-22-2112-1-1-1100-11000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ664444-4-44-2-2-44-4-222-2-2-2-2-22212-222-2-1-112-22-2112-1-1-1100-1100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ6744-4-44444-2-4-4-4444-2-4-422-4-4-244-2-2-2-2-2-2-4-42222222-2-2002200000000000000000000000000000000000000000000000000
χ6844-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2-2-21112222-1-12-1-11100-1-123−2323−230000−3−333−3−3330000000000000000000000000000000000
χ6944-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2-2-21112222-1-12-1-11100-1-1−2323−2323000033−3−333−3−30000000000000000000000000000000000
χ7044-4-44-4-44-244-4444-2-4-422-4-4-2-4-4-222-2-2-244-2-2222222200-2-200000000000000000000000000000000000000000000000000
χ7144-4-44-4-4-2-244-4-2-2-2-2222222122-222111-2-2-2-2-1-12-1-1-1-1001123−23−23230000−3−33333−3−30000000000000000000000000000000000
χ7244-4-44-4-4-2-244-4-2-2-2-2222222122-222111-2-2-2-2-1-12-1-1-1-10011−232323−23000033−3−3−3−3330000000000000000000000000000000000
χ7344-4-4-44-4-24-444-222422-4-4-2-2-2-22-44-422-22-2-44224-2-2-22002-200000000000000000000000000000000000000000000000000
χ7444-4-4-44-4-2-2-444-222-22222-2-21-222-22-1-112-22-2-1-1-2111-100-110000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000
χ7544-4-4-44-4-2-2-444-222-22222-2-21-222-22-1-112-22-2-1-1-2111-100-1100002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000
χ7644-4-4-4-44-244-44-222422-4-4-2-2-22-2-4-4422-2-224-4224-2-22-200-2200000000000000000000000000000000000000000000000000
χ7744-4-4-4-44-2-24-44-222-22222-2-212-222-2-1-11-22-22-1-1-211-11001-10000−2i32i32i3−2i3i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000
χ7844-4-4-4-44-2-24-44-222-22222-2-212-222-2-1-11-22-22-1-1-211-11001-100002i3−2i3−2i32i3−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000
χ794-44i−4i00044000-400-44i−4i4i−4i0040000000-400004i−4i00000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000
χ804-44i−4i00044000-400-44i−4i4i−4i0040000000-400004i−4i0000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000000000
χ814-44i−4i000-240002−2i32i3-4−2i2i4i−4i23−23-200000−2i32i320000−2i2i023−2300000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ72ζ72ζ13−2ζ132ζ5−2ζ5−2ζ232ζ230000000000000000000000
χ824-44i−4i000-240002−2i32i3-4−2i2i4i−4i23−23-200000−2i32i320000−2i2i023−230000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ7−2ζ7−2ζ132ζ13−2ζ52ζ52ζ23−2ζ230000000000000000000000
χ834-44i−4i000-2400022i3−2i3-4−2i2i4i−4i−2323-2000002i3−2i320000−2i2i0−232300000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ232ζ232ζ5−2ζ52ζ13−2ζ13−2ζ72ζ70000000000000000000000
χ844-44i−4i000-2400022i3−2i3-4−2i2i4i−4i−2323-2000002i3−2i320000−2i2i0−23230000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ23−2ζ23−2ζ52ζ5−2ζ132ζ132ζ7−2ζ70000000000000000000000
χ854-4−4i4i00044000-400-4−4i4i−4i4i0040000000-40000−4i4i0000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000
χ864-4−4i4i00044000-400-4−4i4i−4i4i0040000000-40000−4i4i00000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000
χ874-4−4i4i000-240002−2i32i3-42i−2i−4i4i−2323-200000−2i32i3200002i−2i0−23230000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ13−2ζ13−2ζ72ζ7−2ζ232ζ232ζ5−2ζ50000000000000000000000
χ884-4−4i4i000-240002−2i32i3-42i−2i−4i4i−2323-200000−2i32i3200002i−2i0−232300000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ132ζ132ζ7−2ζ72ζ23−2ζ23−2ζ52ζ50000000000000000000000
χ894-4−4i4i000-2400022i3−2i3-42i−2i−4i4i23−23-2000002i3−2i3200002i−2i023−230000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ5−2ζ5−2ζ232ζ23−2ζ72ζ72ζ13−2ζ130000000000000000000000
χ904-4−4i4i000-2400022i3−2i3-42i−2i−4i4i23−23-2000002i3−2i3200002i−2i023−2300000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ52ζ52ζ23−2ζ232ζ7−2ζ7−2ζ132ζ130000000000000000000000
χ918-88i−8i0008-4000-80048i−8i−4i4i00-4000000040000−4i4i00000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-40004−4i34i34−4i4i−4i4i43−432000002i3−2i3-200002i−2i0−232300000000000000000000000000000000000000000000000000000000
χ938-88i−8i000-4-400044i3−4i34−4i4i−4i4i−4343200000−2i32i3-200002i−2i023−2300000000000000000000000000000000000000000000000000000000
χ948-8−8i8i0008-4000-8004−8i8i4i−4i00-40000000400004i−4i00000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-40004−4i34i344i−4i4i−4i−43432000002i3−2i3-20000−2i2i023−2300000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-400044i3−4i344i−4i4i−4i43−43200000−2i32i3-20000−2i2i0−232300000000000000000000000000000000000000000000000000000000

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