Finite Group Databasebeta

← Group #11793864

Character table — Group #11793864

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order1244222334446666121212121212366666666121212121212121212668812122424242424242424242424242424242444441212121212121212224466668812121212242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-111-1-1-1-111-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-111-1-1-1-111-1-1-1-1-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-11111-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-111111111-1-1
χ922222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000002222-1-1-1-100-1-1-1-100000000
χ1022222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2111100111100000000
χ1122222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000000000002-22-2-1-11100-1-11100000000
χ1222222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111000000000000-22-2211-1-10011-1-100000000
χ132222222-12222-1-1-12-1-122-1-1-1-1-1222-1-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000220000-1-1-1-10000
χ142222222-12222-1-1-12-1-122-1-1-1-1-1222-1-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111111100000000-2-2000011110000
χ152222222-12222-1-1-12-1-122-1-1-1-1-1222-1-1-1-1-122-1-12-1-1-1-1-2-2-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-100000000-2-2000011110000
χ162222222-12222-1-1-12-1-122-1-1-1-1-1222-1-1-1-1-122-1-12-1-1-1-1-2-2-1-11111-2-2-2-211111111-2-2-2-21111111100000000220000-1-1-1-10000
χ1722222-2-222-22-22-2-222222-2-222-22-2-2-2-222-22-222-2-2-22-2002-20000000000000000000000000000000000000000000000002i−2i
χ1822222-2-222-22-22-2-222222-2-222-22-2-2-2-222-22-222-2-2-22-2002-2000000000000000000000000000000000000000000000000−2i2i
χ192222-22-222-2-222-2-222222-2-22-22-22-2-2-22-22-2222-2-2-2-2200-2200000000000000000000000000000000000000000000002i−2i00
χ202222-22-222-2-222-2-222222-2-22-22-22-2-2-22-22-2222-2-2-2-2200-220000000000000000000000000000000000000000000000−2i2i00
χ212222-2-22222-2-222222222222-2-2-2-22222-2-2-2-222222-2-22-2-2-222-2-222-2-22222-2-2-2-20000000000000000000000000000000000
χ222222-2-22222-2-222222222222-2-2-2-22222-2-2-2-222222-2-2-22-2-2-2-222-2-222-2-2-2-222220000000000000000000000000000000000
χ232222-2-222-12-2-2222-122-1-122-1-2-211-1-1-1-1-2-211-1-1-1-1-1112-21122-2-2-1-111-1-1-1-111110000000000000000−i3i3−i3i300−i3i3−i3i300000000
χ242222-2-222-12-2-2222-122-1-122-1-2-211-1-1-1-1-2-211-1-1-1-1-1112-21122-2-2-1-111-1-1-1-111110000000000000000i3−i3i3−i300i3−i3i3−i300000000
χ252222-2-222-12-2-2222-122-1-122-1-2-211-1-1-1-1-2-211-1-1-1-1-111-2211-2-22211-1-11111-1-1-1-10000000000000000−i3i3i3−i300−i3i3i3−i300000000
χ262222-2-222-12-2-2222-122-1-122-1-2-211-1-1-1-1-2-211-1-1-1-1-111-2211-2-22211-1-11111-1-1-1-10000000000000000i3−i3−i3i300i3−i3−i3i300000000
χ272222-2-22-122-2-2-1-1-12-1-122-1-1-111-2-22-1-1-111-2-2-1-12-1-1112-211-1-11122-2-2-1-1-1-111110000−i3−i3−i3−i3i3i3i3i300000000000000−i3−i3i3i30000
χ282222-2-22-122-2-2-1-1-12-1-122-1-1-111-2-22-1-1-111-2-2-1-12-1-1112-211-1-11122-2-2-1-1-1-111110000i3i3i3i3−i3−i3−i3−i300000000000000i3i3−i3−i30000
χ292222-2-22-122-2-2-1-1-12-1-122-1-1-111-2-22-1-1-111-2-2-1-12-1-111-221111-1-1-2-2221111-1-1-1-10000−i3−i3−i3−i3i3i3i3i300000000000000i3i3−i3−i30000
χ302222-2-22-122-2-2-1-1-12-1-122-1-1-111-2-22-1-1-111-2-2-1-12-1-111-221111-1-1-2-2221111-1-1-1-10000i3i3i3i3−i3−i3−i3−i300000000000000−i3−i3i3i30000
χ3122-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22200-2-20000000000000000000000000000000000002i−2i00002i−2i2i−2i0000
χ3222-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000000000000000−2i2i0000−2i2i−2i2i0000
χ3322-2-2222-12-2-2-2-1-1-1211-2-211-1-1-1222-1-1-111-2-211-211-1-100113−33−3000033−3−333−3−30000−i3−i3i3i3−i3−i3i3i3000000002i−2i0000−ii−ii0000
χ3422-2-2222-12-2-2-2-1-1-1211-2-211-1-1-1222-1-1-111-2-211-211-1-100113−33−3000033−3−333−3−30000i3i3−i3−i3i3i3−i3−i300000000−2i2i0000i−ii−i0000
χ3522-2-2222-12-2-2-2-1-1-1211-2-211-1-1-1222-1-1-111-2-211-211-1-10011−33−330000−3−333−3−3330000−i3−i3i3i3−i3−i3i3i300000000−2i2i0000i−ii−i0000
χ3622-2-2222-12-2-2-2-1-1-1211-2-211-1-1-1222-1-1-111-2-211-211-1-10011−33−330000−3−333−3−3330000i3i3−i3−i3i3i3−i3−i3000000002i−2i0000−ii−ii0000
χ3722-2-22-2-2222-222-2-22-2-2-2-22222-22-2-2-2-22-22-22-2-22222-200-22000000000000000000000000000020-20220000-2-20000000000
χ3822-2-22-2-2222-222-2-22-2-2-2-22222-22-2-2-2-22-22-22-2-22222-200-220000000000000000000000000000-2020-2-20000220000000000
χ3922-2-22-2-22-12-222-2-2-1-2-21122-12-2-11111-1-221-111-1-1-1-11001-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000000020-20-1-1−i3i30011i3−i300000000
χ4022-2-22-2-22-12-222-2-2-1-2-21122-12-2-11111-1-221-111-1-1-1-11001-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000-202011i3−i300-1-1−i3i300000000
χ4122-2-22-2-22-12-222-2-2-1-2-21122-12-2-11111-1-221-111-1-1-1-11001-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000000020-20-1-1i3−i30011−i3i300000000
χ4222-2-22-2-22-12-222-2-2-1-2-21122-12-2-11111-1-221-111-1-1-1-11001-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000-202011−i3i300-1-1i3−i300000000
χ4322-2-2-22-22222-22-2-22-2-2-2-2222-22-22-2-2-222-22-2-2-2222-22002-20000000000000000000000000000020-200220000-2-200000000
χ4422-2-2-22-22222-22-2-22-2-2-2-2222-22-22-2-2-222-22-2-2-2222-22002-200000000000000000000000000000-20200-2-200002200000000
χ4522-2-2-22-22-122-22-2-2-1-2-21122-1-221-1111-12-2-1111-1-1-11-100-110000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i3000000000000020-2−i3i3-1-100i3−i31100000000
χ4622-2-2-22-22-122-22-2-2-1-2-21122-1-221-1111-12-2-1111-1-1-11-100-110000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i30000000000000-202i3−i31100−i3i3-1-100000000
χ4722-2-2-22-22-122-22-2-2-1-2-21122-1-221-1111-12-2-1111-1-1-11-100-110000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i3000000000000020-2i3−i3-1-100−i3i31100000000
χ4822-2-2-22-22-122-22-2-2-1-2-21122-1-221-1111-12-2-1111-1-1-11-100-110000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i30000000000000-202−i3i31100i3−i3-1-100000000
χ4922-2-2-2-2222-2222222-2-2-2-2-2-22-2-2-2-222222222-2-2-2-2-2-2-20022000000000000000022-2-222-2-2-2-2220000000000000000000000
χ5022-2-2-2-2222-2222222-2-2-2-2-2-22-2-2-2-222222222-2-2-2-2-2-2-200220000000000000000-2-222-2-22222-2-20000000000000000000000
χ5122-2-2-2-22-12-222-1-1-1211-2-211-111-2-22-1-1-1-1-12211-2111100-1-13−3−33000033−3−3−3−33322-2-2-1-11111-1-1000000000000003−3−330000
χ5222-2-2-2-22-12-222-1-1-1211-2-211-111-2-22-1-1-1-1-12211-2111100-1-13−3−33000033−3−3−3−333-2-22211-1-1-1-11100000000000000−333−30000
χ5322-2-2-2-22-12-222-1-1-1211-2-211-111-2-22-1-1-1-1-12211-2111100-1-1−333−30000−3−33333−3−322-2-2-1-11111-1-100000000000000−333−30000
χ5422-2-2-2-22-12-222-1-1-1211-2-211-111-2-22-1-1-1-1-12211-2111100-1-1−333−30000−3−33333−3−3-2-22211-1-1-1-111000000000000003−3−330000
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
χ5744444-4-44-2-44-44-4-4-244-2-2-4-4-24-4-22222-24-4-22-2-2222-2200-2200000000000000000000000000000000000000000000000000
χ5844444-4-4-24-44-4-2224-2-24422-2-224-4-422-2-224-4-2-2-422-2200-2200000000000000000000000000000000000000000000000000
χ5944444-4-4-2-2-44-4-222-2-2-2-2-2221-22-222-1-11-22-22112-1-11-1001-1000000003i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000
χ6044444-4-4-2-2-44-4-222-2-2-2-2-2221-22-222-1-11-22-22112-1-11-1001-100000000−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000
χ614444-44-44-2-4-444-4-4-244-2-2-4-4-2-442-2222-2-442-2-2-22222-2002-200000000000000000000000000000000000000000000000000
χ624444-44-4-24-4-44-2224-2-24422-22-2-44-422-22-2-44-2-2-4222-2002-200000000000000000000000000000000000000000000000000
χ634444-44-4-2-2-4-44-222-2-2-2-2-22212-22-22-1-112-22-2112-1-1-1100-11000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ644444-44-4-2-2-4-44-222-2-2-2-2-22212-22-22-1-112-22-2112-1-1-1100-1100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ654444-4-44-2-24-4-4-2-2-2-2-2-2-2-2-2-212222-2111222211-211-1-14-4-1-1-2-222-2-2221111-1-1-1-10000000000000000000000000000000000
χ664444-4-44-2-24-4-4-2-2-2-2-2-2-2-2-2-212222-2111222211-211-1-1-44-1-122-2-222-2-2-1-1-1-111110000000000000000000000000000000000
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
χ7044-4-44-4-4-244-44-222422-4-4-2-2-2-224-4-422-22-2-44224-2-2-22002-200000000000000000000000000000000000000000000000000
χ7144-4-44-4-4-2-24-44-222-22222-2-21-22-222-1-112-22-2-1-1-2111-100-110000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000
χ7244-4-44-4-4-2-24-44-222-22222-2-21-22-222-1-112-22-2-1-1-2111-100-1100002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000
χ7344-4-4-44-4-2444-4-222422-4-4-2-2-22-2-44-422-2-224-4224-2-22-200-2200000000000000000000000000000000000000000000000000
χ7444-4-4-44-4-2-244-4-222-22222-2-212-22-22-1-11-22-22-1-1-211-11001-10000−2i32i32i3−2i3i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000
χ7544-4-4-44-4-2-244-4-222-22222-2-212-22-22-1-11-22-22-1-1-211-11001-100002i3−2i3−2i32i3−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000
χ7644-4-4-4-444-2-444444-2-4-422-4-4-2-4-422-2-2-2-244-2-2222222200-2-200000000000000000000000000000000000000000000000000
χ7744-4-4-4-44-2-2-444-2-2-2-222222212222-2111-2-2-2-2-1-12-1-1-1-1001123−23−23230000−3−33333−3−30000000000000000000000000000000000
χ7844-4-4-4-44-2-2-444-2-2-2-222222212222-2111-2-2-2-2-1-12-1-1-1-10011−232323−23000033−3−3−3−3330000000000000000000000000000000000
χ794-44i−4i00044000-400-44i−4i4i−4i0040000000-400004i−4i00000000000000000000000002-22i−2i2-22i−2i2i−2i2-20000000000000000000000
χ804-44i−4i00044000-400-44i−4i4i−4i0040000000-400004i−4i0000000000000000000000000-22−2i2i-22−2i2i−2i2i-220000000000000000000000
χ814-44i−4i000-240002−2i32i3-4−2i2i4i−4i23−23-200000−2i32i320000−2i2i023−2300000000000000000000002-22i−2i−1−i31+i32ζ11−2ζ112ζ7−2ζ7−1+i31−i30000000000000000000000
χ824-44i−4i000-240002−2i32i3-4−2i2i4i−4i23−23-200000−2i32i320000−2i2i023−230000000000000000000000-22−2i2i1+i3−1−i3−2ζ112ζ11−2ζ72ζ71−i3−1+i30000000000000000000000
χ834-44i−4i000-2400022i3−2i3-4−2i2i4i−4i−2323-2000002i3−2i320000−2i2i0−232300000000000000000000002-22i−2i−1+i31−i32ζ7−2ζ72ζ11−2ζ11−1−i31+i30000000000000000000000
χ844-44i−4i000-2400022i3−2i3-4−2i2i4i−4i−2323-2000002i3−2i320000−2i2i0−23230000000000000000000000-22−2i2i1−i3−1+i3−2ζ72ζ7−2ζ112ζ111+i3−1−i30000000000000000000000
χ854-4−4i4i00044000-400-4−4i4i−4i4i0040000000-40000−4i4i00000000000000000000000002-2−2i2i2-2−2i2i−2i2i2-20000000000000000000000
χ864-4−4i4i00044000-400-4−4i4i−4i4i0040000000-40000−4i4i0000000000000000000000000-222i−2i-222i−2i2i−2i-220000000000000000000000
χ874-4−4i4i000-240002−2i32i3-42i−2i−4i4i−2323-200000−2i32i3200002i−2i0−232300000000000000000000002-2−2i2i−1−i31+i3−2ζ112ζ11−2ζ72ζ7−1+i31−i30000000000000000000000
χ884-4−4i4i000-240002−2i32i3-42i−2i−4i4i−2323-200000−2i32i3200002i−2i0−23230000000000000000000000-222i−2i1+i3−1−i32ζ11−2ζ112ζ7−2ζ71−i3−1+i30000000000000000000000
χ894-4−4i4i000-2400022i3−2i3-42i−2i−4i4i23−23-2000002i3−2i3200002i−2i023−2300000000000000000000002-2−2i2i−1+i31−i3−2ζ72ζ7−2ζ112ζ11−1−i31+i30000000000000000000000
χ904-4−4i4i000-2400022i3−2i3-42i−2i−4i4i23−23-2000002i3−2i3200002i−2i023−230000000000000000000000-222i−2i1−i3−1+i32ζ7−2ζ72ζ11−2ζ111+i3−1−i30000000000000000000000
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 12 (ζ12 = 1); i = ζ3.