Finite Group Databasebeta

← Group #11792276

Character table — Group #11792276

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order122222334444666666121212123666666612121212121212121212246666666666121212121212121212124444121212121212121224446688121212121212242424244488
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-111-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1111111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111111111-1-111
χ922222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000000000000000002-2000000022-2-200000000
χ1022222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-200000000000000000-220000000-2-22200000000
χ112222222-1222222-12-1-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000000002222-1-100-1-1-1-1-1-100000000
χ122222222-1222222-12-1-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000-2-2-2-2110011111100000000
χ132222222-1222222-12-1-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-111110000000000002-2-22-1-100-1-1111100000000
χ142222222-1222222-12-1-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-11111000000000000-222-2110011-1-1-1-100000000
χ152222222-1-2-2-2-222-12-1-1-2-2-2-2-12-1-1-1-1-12-2-2111111110000−i3i3-1-1−i3−i3i3i300−i3i311−i3−i3i3i300000000000002-20−i3i300−i3i3-1-11100000000
χ162222222-1-2-2-2-222-12-1-1-2-2-2-2-12-1-1-1-1-12-2-2111111110000−i3i3-1-1−i3−i3i3i300−i3i311−i3−i3i3i30000000000000-220i3−i300i3−i311-1-100000000
χ172222222-1-2-2-2-222-12-1-1-2-2-2-2-12-1-1-1-1-12-2-2111111110000i3−i3-1-1i3i3−i3−i300i3−i311i3i3−i3−i300000000000002-20i3−i300i3−i3-1-11100000000
χ182222222-1-2-2-2-222-12-1-1-2-2-2-2-12-1-1-1-1-12-2-2111111110000i3−i3-1-1i3i3−i3−i300i3−i311i3i3−i3−i30000000000000-220−i3i300−i3i311-1-100000000
χ19222222-122222-1-12-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000022000000-1-1-1-10000
χ20222222-122222-1-12-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-211111111000000-2-200000011110000
χ21222222-122222-1-12-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-2-211-2-2-1-1111111-2-2-1-111112222-1-1-1-1-1-1-1-1000000-2-200000011110000
χ22222222-122222-1-12-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-2-211-2-2-1-1111111-2-2-1-11111-2-2-2-21111111100000022000000-1-1-1-10000
χ232222-2-2222-22-222222222222-2-2-2222-2-2-222-2-22222000000-2-200000000-2-20000000000000000200-22200-2-2000000000000
χ242222-2-2222-22-222222222222-2-2-2222-2-2-222-2-22222000000-2-200000000-2-20000000000000000-2002-2-20022000000000000
χ252222-2-222-22-22222222-2-2-2-22-2-2-2222-222-2-222-2-2-2-22-22222-2-22222-2-2-2-222-2-2-2-20000000000000000000000000000000000
χ262222-2-222-22-22222222-2-2-2-22-2-2-2222-222-2-222-2-2-2-2-22-2-2-2-2-2-2-2-2-2-222222222220000000000000000000000000000000000
χ272222-2-22-12-22-222-12-1-12222-1-211-1-1-1-2-2-2-1-111-1-1-1-10000−i3i311−i3−i3i3i300i3−i311i3i3−i3−i3000000000000200-2-1-10011−i3i3−i3i300000000
χ282222-2-22-12-22-222-12-1-12222-1-211-1-1-1-2-2-2-1-111-1-1-1-10000−i3i311−i3−i3i3i300i3−i311i3i3−i3−i3000000000000-20021100-1-1i3−i3i3−i300000000
χ292222-2-22-12-22-222-12-1-12222-1-211-1-1-1-2-2-2-1-111-1-1-1-10000i3−i311i3i3−i3−i300−i3i311−i3−i3i3i3000000000000200-2-1-10011i3−i3i3−i300000000
χ302222-2-22-12-22-222-12-1-12222-1-211-1-1-1-2-2-2-1-111-1-1-1-10000i3−i311i3i3−i3−i300−i3i311−i3−i3i3i3000000000000-20021100-1-1−i3i3−i3i300000000
χ312222-2-22-1-22-2222-12-1-1-2-2-2-2-1-211-1-1-1-22211-1-111112-222-1-111-1-1-1-1-2-211-1-111110000000000000000−i3i300i3−i3−i3i3i3−i300000000
χ322222-2-22-1-22-2222-12-1-1-2-2-2-2-1-211-1-1-1-22211-1-111112-222-1-111-1-1-1-1-2-211-1-111110000000000000000i3−i300−i3i3i3−i3−i3i300000000
χ332222-2-22-1-22-2222-12-1-1-2-2-2-2-1-211-1-1-1-22211-1-11111-22-2-21111111122-1-1-1-1-1-1-1-10000000000000000−i3i300i3−i3i3−i3−i3i300000000
χ342222-2-22-1-22-2222-12-1-1-2-2-2-2-1-211-1-1-1-22211-1-11111-22-2-21111111122-1-1-1-1-1-1-1-10000000000000000i3−i300−i3i3−i3i3i3−i300000000
χ352222-2-2-12-22-22-1-12-1221111-11-2-2-1-1-11-1-1-2-22211112-2-1-12211-1-1-1-111-2-2-1-1111100003333−3−3−3−30000000000000033−3−30000
χ362222-2-2-12-22-22-1-12-1221111-11-2-2-1-1-11-1-1-2-22211112-2-1-12211-1-1-1-111-2-2-1-111110000−3−3−3−3333300000000000000−3−3330000
χ372222-2-2-12-22-22-1-12-1221111-11-2-2-1-1-11-1-1-2-2221111-2211-2-2111111-1-122-1-1-1-1-1-100003333−3−3−3−300000000000000−3−3330000
χ382222-2-2-12-22-22-1-12-1221111-11-2-2-1-1-11-1-1-2-2221111-2211-2-2111111-1-122-1-1-1-1-1-10000−3−3−3−333330000000000000033−3−30000
χ392-2-222-22222-2-2-2-2-222-222-2-2222-2-2-22-22-22-22-222-2-20000002-2000000002-200002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ402-2-222-22222-2-2-2-2-222-222-2-2222-2-2-22-22-22-22-222-2-20000002-2000000002-20000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ412-2-222-222-2-222-2-2-222-2-2-222222-2-2-22-2-22-22-22-2-2220000002-200000000-2200000000000000000000000000000000002-200
χ422-2-222-222-2-222-2-2-222-2-2-222222-2-2-22-2-22-22-22-2-2220000002-200000000-220000000000000000000000000000000000-2200
χ432-2-222-2-1222-2-211-2-12-2-1-111-1-12-211-11-112-22-2-1-11100−i3i300-11−i3i3−i3i3−i3i300-11−i3i3−i3i32i2i−2i−2i−i−iii−i−iii000000000000003−33−30000
χ442-2-222-2-1222-2-211-2-12-2-1-111-1-12-211-11-112-22-2-1-11100−i3i300-11−i3i3−i3i3−i3i300-11−i3i3−i3i3−2i−2i2i2iii−i−iii−i−i00000000000000−33−330000
χ452-2-222-2-1222-2-211-2-12-2-1-111-1-12-211-11-112-22-2-1-11100i3−i300-11i3−i3i3−i3i3−i300-11i3−i3i3−i32i2i−2i−2i−i−iii−i−iii00000000000000−33−330000
χ462-2-222-2-1222-2-211-2-12-2-1-111-1-12-211-11-112-22-2-1-11100i3−i300-11i3−i3i3−i3i3−i300-11i3−i3i3−i3−2i−2i2i2iii−i−iii−i−i000000000000003−33−30000
χ472-2-22-22222-2-22-2-2-222-222-2-22-2-22-2-222-222-2-2222-2-2000000-2200000000-220000000000000000000000000000000000002-2
χ482-2-22-22222-2-22-2-2-222-222-2-22-2-22-2-222-222-2-2222-2-2000000-2200000000-22000000000000000000000000000000000000-22
χ492-2-22-2222-222-2-2-2-222-2-2-2222-2-22-2-2222-2-222-2-2-222000000-22000000002-200000000000000000000002-20000002-2-220000
χ502-2-22-2222-222-2-2-2-222-2-2-2222-2-22-2-2222-2-222-2-2-222000000-22000000002-20000000000000000000000-22000000-222-20000
χ512-2-22-22-12-222-211-2-12-211-1-1-11-2211-1-1-11-222-211-1-100−i3i3001-1−i3i3−i3i3i3−i300-11i3−i3i3−i30000−i3−i3i3i3i3i3−i3−i30000002-2000000-111-10000
χ522-2-22-22-12-222-211-2-12-211-1-1-11-2211-1-1-11-222-211-1-100−i3i3001-1−i3i3−i3i3i3−i300-11i3−i3i3−i30000i3i3−i3−i3−i3−i3i3i3000000-220000001-1-110000
χ532-2-22-22-12-222-211-2-12-211-1-1-11-2211-1-1-11-222-211-1-100i3−i3001-1i3−i3i3−i3−i3i300-11−i3i3−i3i30000−i3−i3i3i3i3i3−i3−i3000000-220000001-1-110000
χ542-2-22-22-12-222-211-2-12-211-1-1-11-2211-1-1-11-222-211-1-100i3−i3001-1i3−i3i3−i3−i3i300-11−i3i3−i3i30000i3i3−i3−i3−i3−i3i3i30000002-2000000-111-10000
χ55444444-24-4-4-4-4-2-24-2442222-2-244-2-2-2-222-4-4-4-42222000000-2-2000000002200000000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-2-2111144-2-2-2-2111111-2-2-2-21111110000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-2-21111-4-4222211-1-1-1-1222211-1-1-1-10000000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2111-2222222-1-1-1-10000−2i32i311i3i3−i3−i300−2i32i3-1-1i3i3−i3−i30000000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2111-2222222-1-1-1-100002i3−2i311−i3−i3i3i3002i3−2i3-1-1−i3−i3i3i30000000000000000000000000000000000
χ604444-4-4-244-44-4-2-24-244-2-2-2-2-22-4-4-2-2-222244-4-4-2-2-2-200000022000000002200000000000000000000000000000000000000
χ614444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222111222-2-22211110000−2i32i3-1-1i3i3−i3−i3002i3−2i3-1-1−i3−i3i3i30000000000000000000000000000000000
χ624444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222111222-2-222111100002i3−2i3-1-1−i3−i3i3i300−2i32i3-1-1i3i3−i3−i30000000000000000000000000000000000
χ634444-4-4-2-2-44-44-2-2-2-2-2-2222212221112-2-222-2-2-1-1-1-14-4-2-2-2-2-1-11111222211-1-1-1-10000000000000000000000000000000000
χ644444-4-4-2-2-44-44-2-2-2-2-2-2222212221112-2-222-2-2-1-1-1-1-442222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000000000
χ6544-4-4004400004-44-4-4-4000040004-4-40000000000000000000000000000000002-22-22-22-22-22-20000000000000000000000
χ6644-4-4004400004-44-4-4-4000040004-4-4000000000000000000000000000000000-22-22-22-22-22-220000000000000000000000
χ6744-4-400-240000-2242-4-423−2323−23-2000-222000000023−2323−2300000000000000000000002-22-2−1+31−3−1+31−3−1−31+3−1−31+30000000000000000000000
χ6844-4-400-240000-2242-4-423−2323−23-2000-222000000023−2323−230000000000000000000000-22-221−3−1+31−3−1+31+3−1−31+3−1−30000000000000000000000
χ6944-4-400-240000-2242-4-4−2323−2323-2000-2220000000−2323−232300000000000000000000002-22-2−1−31+3−1−31+3−1+31−3−1+31−30000000000000000000000
χ7044-4-400-240000-2242-4-4−2323−2323-2000-2220000000−2323−23230000000000000000000000-22-221+3−1−31+3−1−31−3−1+31−3−1+30000000000000000000000
χ714-44-400440000-44-4-4-4400004000-44-40000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ724-44-400440000-44-4-4-4400004000-44-4000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ734-44-400-2400002-2-42-4423−23−2323-20002-22000000023−23−232300000000000000000000002i−2i−2i2iζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ110000000000000000000000
χ744-44-400-2400002-2-42-4423−23−2323-20002-22000000023−23−23230000000000000000000000−2i2i2i−2i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ110000000000000000000000
χ754-44-400-2400002-2-42-44−232323−23-20002-220000000−232323−2300000000000000000000002i−2i−2i2i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ110000000000000000000000
χ764-44-400-2400002-2-42-44−232323−23-20002-220000000−232323−230000000000000000000000−2i2i2i−2iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ110000000000000000000000
χ774-4-444-44-244-4-4-4-424-2244-4-4-24-2222-2-44-4-22-22-2-222000000-2200000000-2200000000000000000000000000000000000000
χ784-4-444-44-2-4-444-4-424-22-4-444-24-2222-2-4-442-22-222-2-2000000-22000000002-200000000000000000000000000000000000000
χ794-4-444-4-24-4-44422-4-24-422-2-2-2-24-422-222-2-44-4422-2-2000000-22000000002-200000000000000000000000000000000000000
χ804-4-444-4-2-244-4-4222-2-22-2-2221-2-22-1-112-22-22-2211-1-100−2i32i3001-1i3−i3i3−i3−2i32i3001-1i3−i3i3−i30000000000000000000000000000000000
χ814-4-444-4-2-244-4-4222-2-22-2-2221-2-22-1-112-22-22-2211-1-1002i3−2i3001-1−i3i3−i3i32i3−2i3001-1−i3i3−i3i30000000000000000000000000000000000
χ824-4-444-4-2-2-4-444222-2-2222-2-21-2-22-1-1122-22-22-2-1-1110000001-13-3-330000-113-3-330000000000000000000000000000000000
χ834-4-444-4-2-2-4-444222-2-2222-2-21-2-22-1-1122-22-22-2-1-1110000001-1-333-30000-11-333-30000000000000000000000000000000000
χ844-4-44-444-24-4-44-4-424-2244-4-4-2-42-222-24-44-222-2-2-2220000002-2000000002-200000000000000000000000000000000000000
χ854-4-44-444-2-444-4-4-424-22-4-444-2-42-222-244-42-2-2222-2-20000002-200000000-2200000000000000000000000000000000000000
χ864-4-44-44-244-4-4422-4-24-4-2-222-22-4422-2-22-24-4-44-2-2220000002-2000000002-200000000000000000000000000000000000000
χ874-4-44-44-2-24-4-44222-2-22-2-222122-2-1-11-22-2-222-211-1-1000000-113-3-330000-11-333-30000000000000000000000000000000000
χ884-4-44-44-2-24-4-44222-2-22-2-222122-2-1-11-22-2-222-211-1-1000000-11-333-30000-113-3-330000000000000000000000000000000000
χ894-4-44-44-2-2-444-4222-2-2222-2-2122-2-1-11-2-222-2-22-1-11100−2i32i300-11i3−i3i3−i32i3−2i3001-1−i3i3−i3i30000000000000000000000000000000000
χ904-4-44-44-2-2-444-4222-2-2222-2-2122-2-1-11-2-222-2-22-1-111002i3−2i300-11−i3i3−i3i3−2i32i3001-1i3−i3i3−i30000000000000000000000000000000000
χ9188-8-8008-400008-8-4-8440000-4000-4440000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-44-444443−4343−4320002-2-20000000−2323−232300000000000000000000000000000000000000000000000000000000
χ9388-8-800-4-40000-44-4444−4343−434320002-2-2000000023−2323−2300000000000000000000000000000000000000000000000000000000
χ948-88-8008-40000-884-84-40000-40004-440000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-400004-4444-443−43−43432000-22-20000000−232323−2300000000000000000000000000000000000000000000000000000000
χ968-88-800-4-400004-4444-4−434343−432000-22-2000000023−23−232300000000000000000000000000000000000000000000000000000000

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