Finite Group Databasebeta

← Group #11792418

Character table — Group #11792418

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order12442223344466661212121212123666666661212121212121212126688121224242424242424242424242424242424224466661212121224446688121212121212242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1
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
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-111
χ922222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000002222-1-100-1-1-1-1-1-100000000
χ1022222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2110011111100000000
χ1122222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111100000000000022-2-2-1-100-1-1111100000000
χ1222222222-1222222-122-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111000000000000-2-222110011-1-1-1-100000000
χ132222222-12222-1-1-12-1-122-1-1-1-1-122-1-1-12-1-1222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000022000000-1-1-1-10000
χ142222222-12222-1-1-12-1-122-1-1-1-1-122-1-1-12-1-1222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111000000-2-200000011110000
χ152222222-12222-1-1-12-1-122-1-1-1-1-122-1-1-12-1-1222-1-1-1-1-1-1-2-2-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-1000000-2-200000011110000
χ162222222-12222-1-1-12-1-122-1-1-1-1-122-1-1-12-1-1222-1-1-1-1-1-1-2-2-1-11111-2-2-2-211111111-2-2-2-21111111100000022000000-1-1-1-10000
χ1722222-2-222-2-2222222222222-2-22-2222-2-2-22-2-22222-2-200-2-200000000000000000000000000000000002-200000022-2-20000
χ1822222-2-222-2-2222222222222-2-22-2222-2-2-22-2-22222-2-200-2-20000000000000000000000000000000000-22000000-2-2220000
χ1922222-2-2-12-2-22-1-1-12-1-122-1-1-1112-2-1-1-1-2112-2-2-1-1-1-1110011−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i30000−i3−i3i3i3−i3−i3i3i30000002-2000000-1-1110000
χ2022222-2-2-12-2-22-1-1-12-1-122-1-1-1112-2-1-1-1-2112-2-2-1-1-1-1110011−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i30000i3i3−i3−i3i3i3−i3−i3000000-2200000011-1-10000
χ2122222-2-2-12-2-22-1-1-12-1-122-1-1-1112-2-1-1-1-2112-2-2-1-1-1-1110011i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000−i3−i3i3i3−i3−i3i3i3000000-2200000011-1-10000
χ2222222-2-2-12-2-22-1-1-12-1-122-1-1-1112-2-1-1-1-2112-2-2-1-1-1-1110011i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000i3i3−i3−i3i3i3−i3−i30000002-2000000-1-1110000
χ232222-22-2222-2-2-2-2222222-2-222-2-2-2-2-2222-2-22-2-2-2222-2002-20000000000000000000000000000002-200000022-2-200000000
χ242222-22-2222-2-2-2-2222222-2-222-2-2-2-2-2222-2-22-2-2-2222-2002-2000000000000000000000000000000-22000000-2-22200000000
χ252222-22-22-12-2-2-2-22-122-1-1-2-2-12-21111-1-12-21-1111-1-1-1100-110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000002-2−i3i300−i3i3-1-11100000000
χ262222-22-22-12-2-2-2-22-122-1-1-2-2-12-21111-1-12-21-1111-1-1-1100-110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000-22i3−i300i3−i311-1-100000000
χ272222-22-22-12-2-2-2-22-122-1-1-2-2-12-21111-1-12-21-1111-1-1-1100-110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000002-2i3−i300i3−i3-1-11100000000
χ282222-22-22-12-2-2-2-22-122-1-1-2-2-12-21111-1-12-21-1111-1-1-1100-110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000-22−i3i300−i3i311-1-100000000
χ292222-2-2222-22-2-2-2222222-2-22-22-22-2-22-2-22-2-22-2-222-2200-220000000000000000000000000000000000000000000000002-2
χ302222-2-2222-22-2-2-2222222-2-22-22-22-2-22-2-22-2-22-2-222-2200-22000000000000000000000000000000000000000000000000-22
χ3122-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22200-2-2000000000000000022-2-22222-2-2-2-20000000000000000000000
χ3222-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22200-2-20000000000000000-2-222-2-2-2-222220000000000000000000000
χ3322-2-2222-12-2-2-2-1-1-1211-2-211-1-1-122-1-1-1211-2-2-21111-1-100113−33−300003−33−33−33−322-2-2-1-1-1-11111000000000000003−33−30000
χ3422-2-2222-12-2-2-2-1-1-1211-2-211-1-1-122-1-1-1211-2-2-21111-1-100113−33−300003−33−33−33−3-2-2221111-1-1-1-100000000000000−33−330000
χ3522-2-2222-12-2-2-2-1-1-1211-2-211-1-1-122-1-1-1211-2-2-21111-1-10011−33−330000−33−33−33−3322-2-2-1-1-1-1111100000000000000−33−330000
χ3622-2-2222-12-2-2-2-1-1-1211-2-211-1-1-122-1-1-1211-2-2-21111-1-10011−33−330000−33−33−33−33-2-2221111-1-1-1-1000000000000003−33−30000
χ3722-2-22-2-22222-22222-2-2-2-2-2-22-2-22-2222-222-222-2-2-2-2-2-22i−2i222i−2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000
χ3822-2-22-2-22222-22222-2-2-2-2-2-22-2-22-2222-222-222-2-2-2-2-2-2−2i2i22−2i2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000
χ3922-2-22-2-22-122-2222-1-2-211-2-2-1-2-2-11-1-1-11221-1-11111112i−2i-1-12i−2i−2i2i−ii−ii−ii−iii−ii−i0000000000000000−i3i300i3−i33−33−300000000
χ4022-2-22-2-22-122-2222-1-2-211-2-2-1-2-2-11-1-1-11221-1-11111112i−2i-1-12i−2i−2i2i−ii−ii−ii−iii−ii−i0000000000000000i3−i300−i3i3−33−3300000000
χ4122-2-22-2-22-122-2222-1-2-211-2-2-1-2-2-11-1-1-11221-1-1111111−2i2i-1-1−2i2i2i−2ii−ii−ii−ii−i−ii−ii0000000000000000−i3i300i3−i3−33−3300000000
χ4222-2-22-2-22-122-2222-1-2-211-2-2-1-2-2-11-1-1-11221-1-1111111−2i2i-1-1−2i2i2i−2ii−ii−ii−ii−i−ii−ii0000000000000000i3−i300−i3i33−33−300000000
χ4322-2-22-2-2-1222-2-1-1-1211-2-211-1112-2-1-1-1-2-1-1-2221111112i−2i-1-1−iii−i2i−2i2i−2i−ii−iii−ii−i0000−i3−i3i3i3i3i3−i3−i3000000000000003−3−330000
χ4422-2-22-2-2-1222-2-1-1-1211-2-211-1112-2-1-1-1-2-1-1-2221111112i−2i-1-1−iii−i2i−2i2i−2i−ii−iii−ii−i0000i3i3−i3−i3−i3−i3i3i300000000000000−333−30000
χ4522-2-22-2-2-1222-2-1-1-1211-2-211-1112-2-1-1-1-2-1-1-222111111−2i2i-1-1i−i−ii−2i2i−2i2ii−ii−i−ii−ii0000−i3−i3i3i3i3i3−i3−i300000000000000−333−30000
χ4622-2-22-2-2-1222-2-1-1-1211-2-211-1112-2-1-1-1-2-1-1-222111111−2i2i-1-1i−i−ii−2i2i−2i2ii−ii−i−ii−ii0000i3i3−i3−i3−i3−i3i3i3000000000000003−3−330000
χ4722-2-2-22-222-222-2-222-2-2-2-22222-2-2-2-2-222-222-2222-2-22-200-2200000000000000000000000000000000000000000000002-200
χ4822-2-2-22-222-222-2-222-2-2-2-22222-2-2-2-2-222-222-2222-2-22-200-220000000000000000000000000000000000000000000000-2200
χ4922-2-2-2-22222-22-2-222-2-2-2-2222-22-22-2-22-22-222-222-2-2-22002-200000000000000000000000000002-2002200-2-2000000000000
χ5022-2-2-2-22222-22-2-222-2-2-2-2222-22-22-2-22-22-222-222-2-2-22002-20000000000000000000000000000-2200-2-20022000000000000
χ5122-2-2-2-222-12-22-2-22-1-2-21122-1-221-111-112-2-1-11-1-1111-100-1100003−3−333−3−33−333−30000000000002-200-1-100113−3−3300000000
χ5222-2-2-2-222-12-22-2-22-1-2-21122-1-221-111-112-2-1-11-1-1111-100-1100003−3−333−3−33−333−3000000000000-22001100-1-1−333−300000000
χ5322-2-2-2-222-12-22-2-22-1-2-21122-1-221-111-112-2-1-11-1-1111-100-110000−333−3−333−33−3−330000000000002-200-1-10011−333−300000000
χ5422-2-2-2-222-12-22-2-22-1-2-21122-1-221-111-112-2-1-11-1-1111-100-110000−333−3−333−33−3−33000000000000-22001100-1-13−3−3300000000
χ554444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-21111114411-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2111111-4-41122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ5744444-4-44-2-4-44444-244-2-244-2-4-4-22-2-2-22-4-4-222-2-2-2-222002200000000000000000000000000000000000000000000000000
χ5844444-4-4-2-2-4-44-2-2-2-2-2-2-2-2-2-2122-22111222-2221111-1-100-1-1−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ5944444-4-4-2-2-4-44-2-2-2-2-2-2-2-2-2-2122-22111222-2221111-1-100-1-12i32i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ604444-44-4-244-4-422-24-2-24422-2-22-4-422-24-22-44-422-2-2-2200-2200000000000000000000000000000000000000000000000000
χ614444-44-4-2-24-4-422-2-2-2-2-2-2221-2222-1-11-2-222-22-1-1111-1001-10000−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ624444-44-4-2-24-4-422-2-2-2-2-2-2221-2222-1-11-2-222-22-1-1111-1001-100002i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ634444-4-444-2-44-4-4-44-244-2-2-4-4-2-442-222-22-4422-222-2-22-2002-200000000000000000000000000000000000000000000000000
χ644444-4-44-24-44-422-24-2-24422-22-2-4422-2-42-2-4-4422-2-22-2002-200000000000000000000000000000000000000000000000000
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χ664444-4-44-2-2-44-422-2-2-2-2-2-22212-22-2-1-1122-222-2-1-111-1100-1100000000-3-33333-3-30000000000000000000000000000000000
χ6744-4-44444-2-4-4-4444-2-4-422-4-4-244-2-2-2-2-2-2-4-42222222-2-2002200000000000000000000000000000000000000000000000000
χ6844-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2-2111-222222-1-1-1-11100-1-123−2323−230000−33−33−33−330000000000000000000000000000000000
χ6944-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2-2111-222222-1-1-1-11100-1-1−2323−232300003−33−33−33−30000000000000000000000000000000000
χ7044-4-44-4-4-2-244-4-2-2-2-2222222122-221112-2-22-2-2-1-1-1-1-1-14i−4i11−2i2i2i−2i−2i2i−2i2ii−ii−i−ii−ii0000000000000000000000000000000000
χ7144-4-44-4-4-2-244-4-2-2-2-2222222122-221112-2-22-2-2-1-1-1-1-1-1−4i4i112i−2i−2i2i2i−2i2i−2i−ii−iii−ii−i0000000000000000000000000000000000
χ7244-4-4-44-44-2-444-4-44-2-4-42244-24-42222-2-2-44-22-2-2-222-22002-200000000000000000000000000000000000000000000000000
χ7344-4-4-44-4-24-44422-2422-4-4-2-2-2-22-4-422-242-24-44-2-222-22002-200000000000000000000000000000000000000000000000000
χ7444-4-4-44-4-2-2-44422-2-22222-2-21-2222-1-11-22-2-22-211-1-11-100-11000000003i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000
χ7544-4-4-44-4-2-2-44422-2-22222-2-21-2222-1-11-22-2-22-211-1-11-100-1100000000−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000
χ7644-4-4-4-44-244-4422-2422-4-4-2-2-22-2-4422-2-4-2244-4-2-2222-200-2200000000000000000000000000000000000000000000000000
χ7744-4-4-4-44-2-24-4422-2-22222-2-212-22-2-1-112-22-2-2211-1-1-11001-1000023−23−2323−333−33−3−330000000000000000000000000000000000
χ7844-4-4-4-44-2-24-4422-2-22222-2-212-22-2-1-112-22-2-2211-1-1-11001-10000−232323−233−3−33−333−30000000000000000000000000000000000
χ794-44i−4i0004400000-4-44i−4i4i−4i004000000-4000000004i−4i00000000000000000000002-22i−2i2-22-22i−2i2i−2i0000000000000000000000
χ804-44i−4i0004400000-4-44i−4i4i−4i004000000-4000000004i−4i0000000000000000000000-22−2i2i-22-22−2i2i−2i2i0000000000000000000000
χ814-44i−4i000-24000−2i32i32-4−2i2i4i−4i23−23-20000−2i32i3200000023−23−2i2i00000000000000000000002-22i−2i−1−i31+i3−1+i31−i32ζ11−2ζ112ζ7−2ζ70000000000000000000000
χ824-44i−4i000-24000−2i32i32-4−2i2i4i−4i23−23-20000−2i32i3200000023−23−2i2i0000000000000000000000-22−2i2i1+i3−1−i31−i3−1+i3−2ζ112ζ11−2ζ72ζ70000000000000000000000
χ834-44i−4i000-240002i3−2i32-4−2i2i4i−4i−2323-200002i3−2i32000000−2323−2i2i00000000000000000000002-22i−2i−1+i31−i3−1−i31+i32ζ7−2ζ72ζ11−2ζ110000000000000000000000
χ844-44i−4i000-240002i3−2i32-4−2i2i4i−4i−2323-200002i3−2i32000000−2323−2i2i0000000000000000000000-22−2i2i1−i3−1+i31+i3−1−i3−2ζ72ζ7−2ζ112ζ110000000000000000000000
χ854-4−4i4i0004400000-4-4−4i4i−4i4i004000000-400000000−4i4i00000000000000000000002-2−2i2i2-22-2−2i2i−2i2i0000000000000000000000
χ864-4−4i4i0004400000-4-4−4i4i−4i4i004000000-400000000−4i4i0000000000000000000000-222i−2i-22-222i−2i2i−2i0000000000000000000000
χ874-4−4i4i000-24000−2i32i32-42i−2i−4i4i−2323-20000−2i32i32000000−23232i−2i00000000000000000000002-2−2i2i−1−i31+i3−1+i31−i3−2ζ112ζ11−2ζ72ζ70000000000000000000000
χ884-4−4i4i000-24000−2i32i32-42i−2i−4i4i−2323-20000−2i32i32000000−23232i−2i0000000000000000000000-222i−2i1+i3−1−i31−i3−1+i32ζ11−2ζ112ζ7−2ζ70000000000000000000000
χ894-4−4i4i000-240002i3−2i32-42i−2i−4i4i23−23-200002i3−2i3200000023−232i−2i00000000000000000000002-2−2i2i−1+i31−i3−1−i31+i3−2ζ72ζ7−2ζ112ζ110000000000000000000000
χ904-4−4i4i000-240002i3−2i32-42i−2i−4i4i23−23-200002i3−2i3200000023−232i−2i0000000000000000000000-222i−2i1−i3−1+i31+i3−1−i32ζ7−2ζ72ζ11−2ζ110000000000000000000000
χ918-88i−8i0008-400000-848i−8i−4i4i00-4000000400000000−4i4i00000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-4000−4i34i344−4i4i−4i4i43−43200002i3−2i3-2000000−23232i−2i00000000000000000000000000000000000000000000000000000000
χ938-88i−8i000-4-40004i3−4i344−4i4i−4i4i−434320000−2i32i3-200000023−232i−2i00000000000000000000000000000000000000000000000000000000
χ948-8−8i8i0008-400000-84−8i8i4i−4i00-40000004000000004i−4i00000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000−4i34i3444i−4i4i−4i−4343200002i3−2i3-200000023−23−2i2i00000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-40004i3−4i3444i−4i4i−4i43−4320000−2i32i3-2000000−2323−2i2i00000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.