Finite Group Databasebeta

← Group #11793104

Character table — Group #11793104

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order124422233444666612121212121236666666612121212121212121224666666666612121212121212121212444412121212121212124444881212121212121212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111
χ922222222-1222222-122-1-122-12-1-1-1-12-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000222200-1-1-1-1-1-1-1-100000000
χ1022222222-1222222-122-1-122-12-1-1-1-12-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000-2-2-2-2001111111100000000
χ1122222222-1222222-122-1-122-12-1-1-1-12-1-122-1-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-1111100000000000022-2-200-1-1-1-1111100000000
χ1222222222-1222222-122-1-122-12-1-1-1-12-1-122-1-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-11111000000000000-2-222001111-1-1-1-100000000
χ132222222-12222-1-1-12-1-122-1-1-1-12-1-1-1-122-1-1222-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002200000000-1-1-1-10000
χ142222222-12222-1-1-12-1-122-1-1-1-12-1-1-1-122-1-1222-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111110000-2-20000000011110000
χ152222222-12222-1-1-12-1-122-1-1-1-12-1-1-1-122-1-1222-1-1-1-1-2-211-2-2-1-1111111-2-2-1-111112222-1-1-1-1-1-1-1-10000-2-20000000011110000
χ162222222-12222-1-1-12-1-122-1-1-1-12-1-1-1-122-1-1222-1-1-1-1-2-211-2-2-1-1111111-2-2-1-11111-2-2-2-21111111100002200000000-1-1-1-10000
χ1722222-2-222-2-2222222222222-22222-2-2-2-2-22-2-22222000000-2-200000000-2-200000000000000002i−2i00002i2i−2i−2i000000000000
χ1822222-2-222-2-2222222222222-22222-2-2-2-2-22-2-22222000000-2-200000000-2-20000000000000000−2i2i0000−2i−2i2i2i000000000000
χ1922222-2-22-1-2-22222-122-1-122-1-2-1-1-1-1-211-2-2-111-1-1-1-10000−i3i311−i3−i3i3i300−i3i311−i3−i3i3i30000000000002i−2i0000−i−iii33−3−300000000
χ2022222-2-22-1-2-22222-122-1-122-1-2-1-1-1-1-211-2-2-111-1-1-1-10000−i3i311−i3−i3i3i300−i3i311−i3−i3i3i3000000000000−2i2i0000ii−i−i−3−33300000000
χ2122222-2-22-1-2-22222-122-1-122-1-2-1-1-1-1-211-2-2-111-1-1-1-10000i3−i311i3i3−i3−i300i3−i311i3i3−i3−i30000000000002i−2i0000−i−iii−3−33300000000
χ2222222-2-22-1-2-22222-122-1-122-1-2-1-1-1-1-211-2-2-111-1-1-1-10000i3−i311i3i3−i3−i300i3−i311i3i3−i3−i3000000000000−2i2i0000ii−i−i33−3−300000000
χ232222-22-2222-2-2-2-2222222-2-222-2-2-22-22-22-2-22-222-2-20000002-2000000002-2000000000000000000002i−2i000000002i2i−2i−2i0000
χ242222-22-2222-2-2-2-2222222-2-222-2-2-22-22-22-2-22-222-2-20000002-2000000002-200000000000000000000−2i2i00000000−2i−2i2i2i0000
χ252222-22-2-122-2-211-12-1-12211-1-1-211-112-2-11-22-2-1-11100−i3i300-11−i3i3−i3i3−i3i300-11−i3i3−i3i300003333−3−3−3−300002i−2i00000000−i−iii0000
χ262222-22-2-122-2-211-12-1-12211-1-1-211-112-2-11-22-2-1-11100−i3i300-11−i3i3−i3i3−i3i300-11−i3i3−i3i30000−3−3−3−333330000−2i2i00000000ii−i−i0000
χ272222-22-2-122-2-211-12-1-12211-1-1-211-112-2-11-22-2-1-11100i3−i300-11i3−i3i3−i3i3−i300-11i3−i3i3−i300003333−3−3−3−30000−2i2i00000000ii−i−i0000
χ282222-22-2-122-2-211-12-1-12211-1-1-211-112-2-11-22-2-1-11100i3−i300-11i3−i3i3−i3i3−i300-11i3−i3i3−i30000−3−3−3−3333300002i−2i00000000−i−iii0000
χ292222-2-2222-22-2-2-2222222-2-22-2-2-2-222-22-22-2-2222-2-2000000-2200000000-2200000000000000000000000000000000002-200
χ302222-2-2222-22-2-2-2222222-2-22-2-2-2-222-22-22-2-2222-2-2000000-2200000000-220000000000000000000000000000000000-2200
χ3122-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-20000002200000000-2-20000000000000000002-20000002-22-200000000
χ3222-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-20000002200000000-2-2000000000000000000-22000000-22-2200000000
χ3322-2-22222-1-2-2-2222-1-2-211-2-2-12-1-1-1-12-1-1-2-211111110000−i3i3-1-1−i3−i3i3i300i3−i311i3i3−i3−i3000000000000002-200−i3i3−i3i3-11-1100000000
χ3422-2-22222-1-2-2-2222-1-2-211-2-2-12-1-1-1-12-1-1-2-211111110000−i3i3-1-1−i3−i3i3i300i3−i311i3i3−i3−i300000000000000-2200i3−i3i3−i31-11-100000000
χ3522-2-22222-1-2-2-2222-1-2-211-2-2-12-1-1-1-12-1-1-2-211111110000i3−i3-1-1i3i3−i3−i300−i3i311−i3−i3i3i3000000000000002-200i3−i3i3−i3-11-1100000000
χ3622-2-22222-1-2-2-2222-1-2-211-2-2-12-1-1-1-12-1-1-2-211111110000i3−i3-1-1i3i3−i3−i300−i3i311−i3−i3i3i300000000000000-2200−i3i3−i3i31-11-100000000
χ3722-2-22-2-22222-22222-2-2-2-2-2-22-22222-2-2-222-222-2-2-2-22-22222-2-22222-2-2-2-222-2-2-2-20000000000000000000000000000000000
χ3822-2-22-2-22222-22222-2-2-2-2-2-22-22222-2-2-222-222-2-2-2-2-22-2-2-2-2-2-2-2-2-2-222222222220000000000000000000000000000000000
χ3922-2-22-2-22-122-2222-1-2-211-2-2-1-2-1-1-1-1-211221-1-111112-222-1-111-1-1-1-1-2-211-1-111110000000000000000003−3−333−3−3300000000
χ4022-2-22-2-22-122-2222-1-2-211-2-2-1-2-1-1-1-1-211221-1-111112-222-1-111-1-1-1-1-2-211-1-11111000000000000000000−333−3−333−300000000
χ4122-2-22-2-22-122-2222-1-2-211-2-2-1-2-1-1-1-1-211221-1-11111-22-2-21111111122-1-1-1-1-1-1-1-10000000000000000003−3−33−333−300000000
χ4222-2-22-2-22-122-2222-1-2-211-2-2-1-2-1-1-1-1-211221-1-11111-22-2-21111111122-1-1-1-1-1-1-1-1000000000000000000−333−33−3−3300000000
χ4322-2-22-2-2-1222-2-1-1-1211-2-211-112-1-1-11-2-2-1-1-22211112-2-1-12211-1-1-1-111-2-2-1-11111000033−3−333−3−3000000000000003−33−30000
χ4422-2-22-2-2-1222-2-1-1-1211-2-211-112-1-1-11-2-2-1-1-22211112-2-1-12211-1-1-1-111-2-2-1-111110000−3−333−3−33300000000000000−33−330000
χ4522-2-22-2-2-1222-2-1-1-1211-2-211-112-1-1-11-2-2-1-1-2221111-2211-2-2111111-1-122-1-1-1-1-1-1000033−3−333−3−300000000000000−33−330000
χ4622-2-22-2-2-1222-2-1-1-1211-2-211-112-1-1-11-2-2-1-1-2221111-2211-2-2111111-1-122-1-1-1-1-1-10000−3−333−3−333000000000000003−33−30000
χ4722-2-2-22-222-222-2-222-2-2-2-22222-2-2-22-22-2-222-22-2-2220000002-200000000-220000000000000000000000000000000000002i−2i
χ4822-2-2-22-222-222-2-222-2-2-2-22222-2-2-22-22-2-222-22-2-2220000002-200000000-22000000000000000000000000000000000000−2i2i
χ4922-2-2-2-22222-22-2-222-2-2-2-2222-2-2-2-222-222-222-2-2-222000000-22000000002-2000022-2-222-2-2-2-2220000000000000000000000
χ5022-2-2-2-22222-22-2-222-2-2-2-2222-2-2-2-222-222-222-2-2-222000000-22000000002-20000-2-222-2-22222-2-20000000000000000000000
χ5122-2-2-2-22-122-2211-1211-2-2-1-1-11-211-1-1-22-1122-211-1-100−i3i3001-1−i3i3−i3i3i3−i300-11i3−i3i3−i322-2-2-1-11111-1-100000000000000−i3i3i3−i30000
χ5222-2-2-2-22-122-2211-1211-2-2-1-1-11-211-1-1-22-1122-211-1-100−i3i3001-1−i3i3−i3i3i3−i300-11i3−i3i3−i3-2-22211-1-1-1-11100000000000000i3−i3−i3i30000
χ5322-2-2-2-22-122-2211-1211-2-2-1-1-11-211-1-1-22-1122-211-1-100i3−i3001-1i3−i3i3−i3−i3i300-11−i3i3−i3i322-2-2-1-11111-1-100000000000000i3−i3−i3i30000
χ5422-2-2-2-22-122-2211-1211-2-2-1-1-11-211-1-1-22-1122-211-1-100i3−i3001-1i3−i3i3−i3−i3i300-11−i3i3−i3i3-2-22211-1-1-1-11100000000000000−i3i3i3−i30000
χ554444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2111-2-2-2-2-2-2-2-2111144-2-2-2-2111111-2-2-2-21111110000000000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2111-2-2-2-2-2-2-2-21111-4-4222211-1-1-1-1222211-1-1-1-10000000000000000000000000000000000
χ5744444-4-4-24-4-44-2-2-24-2-244-2-2-224-2-2-22-4-4224-4-4-2-2-2-200000022000000002200000000000000000000000000000000000000
χ5844444-4-4-2-2-4-44-2-2-2-2-2-2-2-2-2-212-211122222-22211110000−2i32i3-1-1i3i3−i3−i300−2i32i3-1-1i3i3−i3−i30000000000000000000000000000000000
χ5944444-4-4-2-2-4-44-2-2-2-2-2-2-2-2-2-212-211122222-222111100002i3−2i3-1-1−i3−i3i3i3002i3−2i3-1-1−i3−i3i3i30000000000000000000000000000000000
χ604444-44-44-24-4-4-4-44-244-2-2-4-4-24222-2-4-224-42-22-2-222000000-2200000000-2200000000000000000000000000000000000000
χ614444-44-4-2-24-4-422-2-2-2-2-2-2221-22-1-112-22-222-2211-1-100−2i32i3001-1i3−i3i3−i3−2i32i3001-1i3−i3i3−i30000000000000000000000000000000000
χ624444-44-4-2-24-4-422-2-2-2-2-2-2221-22-1-112-22-222-2211-1-1002i3−2i3001-1−i3i3−i3i32i3−2i3001-1−i3i3−i3i30000000000000000000000000000000000
χ634444-4-444-2-44-4-4-44-244-2-2-4-4-2-4222-242-2-4422-2-2-2220000002-2000000002-200000000000000000000000000000000000000
χ644444-4-44-24-44-422-24-2-24422-22-422-2-2-442-2-4-44-2-2220000002-2000000002-200000000000000000000000000000000000000
χ654444-4-44-2-2-44-422-2-2-2-2-2-222122-1-11-22-22-222-211-1-1000000-113-3-330000-113-3-330000000000000000000000000000000000
χ664444-4-44-2-2-44-422-2-2-2-2-2-222122-1-11-22-22-222-211-1-1000000-11-333-30000-11-333-30000000000000000000000000000000000
χ6744-4-4444-24-4-4-4-2-2-2422-4-422-2-24-2-2-2-24422-4-4-42222000000-2-2000000002200000000000000000000000000000000000000
χ6844-4-4444-2-2-4-4-4-2-2-2-22222221-2-2111-2-2-222222-1-1-1-10000−2i32i311i3i3−i3−i3002i3−2i3-1-1−i3−i3i3i30000000000000000000000000000000000
χ6944-4-4444-2-2-4-4-4-2-2-2-22222221-2-2111-2-2-222222-1-1-1-100002i3−2i311−i3−i3i3i300−2i32i3-1-1i3i3−i3−i30000000000000000000000000000000000
χ7044-4-44-4-4-2-244-4-2-2-2-222222212-2111222-2-22-2-2-1-1-1-14-4-2-2-2-2-1-11111222211-1-1-1-10000000000000000000000000000000000
χ7144-4-44-4-4-2-244-4-2-2-2-222222212-2111222-2-22-2-2-1-1-1-1-442222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000000000
χ7244-4-4-44-44-2-444-4-44-2-4-42244-24222-2-4-22-44-22-222-2-2000000-22000000002-200000000000000000000000000000000000000
χ7344-4-4-44-4-24-44422-2422-4-4-2-2-2-2-422-224-42-24-4422-2-2000000-22000000002-200000000000000000000000000000000000000
χ7444-4-4-44-4-2-2-44422-2-22222-2-21-22-1-112-222-2-22-2-1-1110000001-13-3-330000-11-333-30000000000000000000000000000000000
χ7544-4-4-44-4-2-2-44422-2-22222-2-21-22-1-112-222-2-22-2-1-1110000001-1-333-30000-113-3-330000000000000000000000000000000000
χ7644-4-4-4-444-24-44-4-44-2-4-42244-2-4222-242-24-4-2-2222-2-20000002-200000000-2200000000000000000000000000000000000000
χ7744-4-4-4-44-2-24-4422-2-22222-2-2122-1-11-22-2-22-2-22-1-11100−2i32i300-11i3−i3i3−i32i3−2i3001-1−i3i3−i3i30000000000000000000000000000000000
χ7844-4-4-4-44-2-24-4422-2-22222-2-2122-1-11-22-2-22-2-22-1-111002i3−2i300-11−i3i3−i3i3−2i32i3001-1i3−i3i3−i30000000000000000000000000000000000
χ794-44i−4i0004400000-4-44i−4i4i−4i0040000-4000000004i−4i0000000000000000000000002-22i−2i2-22i−2i2i−2i2-20000000000000000000000
χ804-44i−4i0004400000-4-44i−4i4i−4i0040000-4000000004i−4i000000000000000000000000-22−2i2i-22−2i2i−2i2i-220000000000000000000000
χ814-44i−4i000-24000−2i32i32-4−2i2i4i−4i23−23-200−2i32i3200000000−2i2i23−2300000000000000000000002-22i−2i−1+31−3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−1−31+30000000000000000000000
χ824-44i−4i000-24000−2i32i32-4−2i2i4i−4i23−23-200−2i32i3200000000−2i2i23−230000000000000000000000-22−2i2i1−3−1+3−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ111+3−1−30000000000000000000000
χ834-44i−4i000-240002i3−2i32-4−2i2i4i−4i−2323-2002i3−2i3200000000−2i2i−232300000000000000000000002-22i−2i−1−31+3−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−1+31−30000000000000000000000
χ844-44i−4i000-240002i3−2i32-4−2i2i4i−4i−2323-2002i3−2i3200000000−2i2i−23230000000000000000000000-22−2i2i1+3−1−3ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ111−3−1+30000000000000000000000
χ854-4−4i4i0004400000-4-4−4i4i−4i4i0040000-400000000−4i4i0000000000000000000000002-2−2i2i2-2−2i2i−2i2i2-20000000000000000000000
χ864-4−4i4i0004400000-4-4−4i4i−4i4i0040000-400000000−4i4i000000000000000000000000-222i−2i-222i−2i2i−2i-220000000000000000000000
χ874-4−4i4i000-24000−2i32i32-42i−2i−4i4i−2323-200−2i32i32000000002i−2i−232300000000000000000000002-2−2i2i−1−31+3ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−1+31−30000000000000000000000
χ884-4−4i4i000-24000−2i32i32-42i−2i−4i4i−2323-200−2i32i32000000002i−2i−23230000000000000000000000-222i−2i1+3−1−3−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ111−3−1+30000000000000000000000
χ894-4−4i4i000-240002i3−2i32-42i−2i−4i4i23−23-2002i3−2i32000000002i−2i23−2300000000000000000000002-2−2i2i−1+31−3−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−1−31+30000000000000000000000
χ904-4−4i4i000-240002i3−2i32-42i−2i−4i4i23−23-2002i3−2i32000000002i−2i23−230000000000000000000000-222i−2i1−3−1+3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ111+3−1−30000000000000000000000
χ918-88i−8i0008-400000-848i−8i−4i4i00-40000400000000−4i4i0000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-4000−4i34i344−4i4i−4i4i43−432002i3−2i3-2000000002i−2i−232300000000000000000000000000000000000000000000000000000000
χ938-88i−8i000-4-40004i3−4i344−4i4i−4i4i−4343200−2i32i3-2000000002i−2i23−2300000000000000000000000000000000000000000000000000000000
χ948-8−8i8i0008-400000-84−8i8i4i−4i00-400004000000004i−4i0000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000−4i34i3444i−4i4i−4i−43432002i3−2i3-200000000−2i2i23−2300000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-40004i3−4i3444i−4i4i−4i43−43200−2i32i3-200000000−2i2i−232300000000000000000000000000000000000000000000000000000000

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