Finite Group Databasebeta

← Group #11792277

Character table — Group #11792277

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order12222233444466666612121212366666661212121212121212121224666666666612121212121212121212444412121212121212124488881212121224242424242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1
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
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
χ61111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1
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
χ922222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-20000000000000000000000000000000000002-2
χ1022222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000000000000000000000000000000000000-22
χ112222222-1222222-1-12-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000220022-1-1-1-10000-1-1-1-10000
χ122222222-1222222-1-12-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000-2-200-2-21111000011110000
χ132222222-1222222-1-12-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-111110000000000002200-2-2-1-1-1-1000011110000
χ142222222-1222222-1-12-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-11111000000000000-2-2002211110000-1-1-1-10000
χ15222222-122222-1-122-12-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10022000000-1-1-1-100000000
χ16222222-122222-1-122-12-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-21111111100-2-2000000111100000000
χ17222222-122222-1-122-12-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-12-2-211-2-2-1-1111111-2-2-1-111112222-1-1-1-1-1-1-1-100-2-2000000111100000000
χ18222222-122222-1-122-12-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-12-2-211-2-2-1-1111111-2-2-1-11111-2-2-2-2111111110022000000-1-1-1-100000000
χ192222-2-2222-22-222222222222-2-2-2222-2-2-222-22222-2000000-2-200000000-2-200000000000000000000000000000000002-200
χ202222-2-2222-22-222222222222-2-2-2222-2-2-222-22222-2000000-2-200000000-2-20000000000000000000000000000000000-2200
χ212222-2-222-22-22222222-2-2-2-22-2-2-2222-222-2-22-2-2-2-222-22222-2-22222-2-2-2-222-2-2-2-20000000000000000000000000000000000
χ222222-2-222-22-22222222-2-2-2-22-2-2-2222-222-2-22-2-2-2-22-22-2-2-2-2-2-2-2-2-2-222222222220000000000000000000000000000000000
χ232222-2-22-1-22-2222-1-12-1-2-2-2-2-1-211-1-1-1-22211-11111-12-222-1-111-1-1-1-1-2-211-1-11111000000000000000000−i3−i3i3i30000−i3−i3i3i30000
χ242222-2-22-1-22-2222-1-12-1-2-2-2-2-1-211-1-1-1-22211-11111-12-222-1-111-1-1-1-1-2-211-1-11111000000000000000000i3i3−i3−i30000i3i3−i3−i30000
χ252222-2-22-1-22-2222-1-12-1-2-2-2-2-1-211-1-1-1-22211-11111-1-22-2-21111111122-1-1-1-1-1-1-1-1000000000000000000−i3−i3i3i30000i3i3−i3−i30000
χ262222-2-22-1-22-2222-1-12-1-2-2-2-2-1-211-1-1-1-22211-11111-1-22-2-21111111122-1-1-1-1-1-1-1-1000000000000000000i3i3−i3−i30000−i3−i3i3i30000
χ272222-2-2-12-22-22-1-122-121111-11-2-2-1-1-11-1-1-2-22111122-2-1-12211-1-1-1-111-2-2-1-1111100003333−3−3−3−3000000000033−3−300000000
χ282222-2-2-12-22-22-1-122-121111-11-2-2-1-1-11-1-1-2-22111122-2-1-12211-1-1-1-111-2-2-1-111110000−3−3−3−333330000000000−3−33300000000
χ292222-2-2-12-22-22-1-122-121111-11-2-2-1-1-11-1-1-2-2211112-2211-2-2111111-1-122-1-1-1-1-1-100003333−3−3−3−30000000000−3−33300000000
χ302222-2-2-12-22-22-1-122-121111-11-2-2-1-1-11-1-1-2-2211112-2211-2-2111111-1-122-1-1-1-1-1-10000−3−3−3−33333000000000033−3−300000000
χ312-22-22-22222-2-2-2-2-2-22222-2-2222-2-2-22-22-22-2222-2-2-20000002-2000000002-200002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ322-22-22-22222-2-2-2-2-2-22222-2-2222-2-2-22-22-22-2222-2-2-20000002-2000000002-20000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ332-22-22-222-2-222-2-2-2-222-2-222222-2-2-22-2-22-22-2-2-22220000002-200000000-2200000000000000002-200002-22-2000000000000
χ342-22-22-222-2-222-2-2-2-222-2-222222-2-2-22-2-22-22-2-2-22220000002-200000000-220000000000000000-220000-22-22000000000000
χ352-22-22-22-1-2-222-2-2112-1-2-222-12-1111-1-2-221-1111-1-1-10000−i3i3-11−i3−i3i3i300−i3i31-1−i3−i3i3i30000000000002-20000-11-110000−i3i3−i3i30000
χ362-22-22-22-1-2-222-2-2112-1-2-222-12-1111-1-2-221-1111-1-1-10000−i3i3-11−i3−i3i3i300−i3i31-1−i3−i3i3i3000000000000-2200001-11-10000i3−i3i3−i30000
χ372-22-22-22-1-2-222-2-2112-1-2-222-12-1111-1-2-221-1111-1-1-10000i3−i3-11i3i3−i3−i300i3−i31-1i3i3−i3−i30000000000002-20000-11-110000i3−i3i3−i30000
χ382-22-22-22-1-2-222-2-2112-1-2-222-12-1111-1-2-221-1111-1-1-10000i3−i3-11i3i3−i3−i300i3−i31-1i3i3−i3−i3000000000000-2200001-11-10000−i3i3−i3i30000
χ392-22-22-2-1222-2-211-2-2-12-1-111-1-12-211-11-112-22-1-111-200−i3i300-11−i3i3−i3i3−i3i300-11−i3i3−i3i32i2i−2i−2i−i−iii−i−iii00000000003−33−300000000
χ402-22-22-2-1222-2-211-2-2-12-1-111-1-12-211-11-112-22-1-111-200−i3i300-11−i3i3−i3i3−i3i300-11−i3i3−i3i3−2i−2i2i2iii−i−iii−i−i0000000000−33−3300000000
χ412-22-22-2-1222-2-211-2-2-12-1-111-1-12-211-11-112-22-1-111-200i3−i300-11i3−i3i3−i3i3−i300-11i3−i3i3−i32i2i−2i−2i−i−iii−i−iii0000000000−33−3300000000
χ422-22-22-2-1222-2-211-2-2-12-1-111-1-12-211-11-112-22-1-111-200i3−i300-11i3−i3i3−i3i3−i300-11i3−i3i3−i3−2i−2i2i2iii−i−iii−i−i00000000003−33−300000000
χ432-22-2-22222-2-22-2-2-2-22222-2-22-2-22-2-222-222-2-222-2-22000000-2200000000-22000000000000000000002-2000000002-2-220000
χ442-22-2-22222-2-22-2-2-2-22222-2-22-2-22-2-222-222-2-222-2-22000000-2200000000-2200000000000000000000-2200000000-222-20000
χ452-22-2-2222-222-2-2-2-2-222-2-2222-2-22-2-2222-2-222-2-222-2000000-22000000002-20000000000000000002-20000002-2-2200000000
χ462-22-2-2222-222-2-2-2-2-222-2-2222-2-22-2-2222-2-222-2-222-2000000-22000000002-2000000000000000000-22000000-222-200000000
χ472-22-2-222-12-2-22-2-2112-122-2-2-1-21-111-12-22-111-1-111-10000−i3i31-1−i3−i3i3i300i3−i31-1i3i3−i3−i300000000000000002-2−i3i3i3−i30000-111-10000
χ482-22-2-222-12-2-22-2-2112-122-2-2-1-21-111-12-22-111-1-111-10000−i3i31-1−i3−i3i3i300i3−i31-1i3i3−i3−i30000000000000000-22i3−i3−i3i300001-1-110000
χ492-22-2-222-12-2-22-2-2112-122-2-2-1-21-111-12-22-111-1-111-10000i3−i31-1i3i3−i3−i300−i3i31-1−i3−i3i3i300000000000000002-2i3−i3−i3i30000-111-10000
χ502-22-2-222-12-2-22-2-2112-122-2-2-1-21-111-12-22-111-1-111-10000i3−i31-1i3i3−i3−i300−i3i31-1−i3−i3i3i30000000000000000-22−i3i3i3−i300001-1-110000
χ512-22-2-22-12-222-211-2-2-1211-1-1-11-2211-1-1-11-22211-1-1-200−i3i3001-1−i3i3−i3i3i3−i300-11i3−i3i3−i30000−i3−i3i3i3i3i3−i3−i3002-2000000-111-100000000
χ522-22-2-22-12-222-211-2-2-1211-1-1-11-2211-1-1-11-22211-1-1-200−i3i3001-1−i3i3−i3i3i3−i300-11i3−i3i3−i30000i3i3−i3−i3−i3−i3i3i300-220000001-1-1100000000
χ532-22-2-22-12-222-211-2-2-1211-1-1-11-2211-1-1-11-22211-1-1-200i3−i3001-1i3−i3i3−i3−i3i300-11−i3i3−i3i30000−i3−i3i3i3i3i3−i3−i300-220000001-1-1100000000
χ542-22-2-22-12-222-211-2-2-1211-1-1-11-2211-1-1-11-22211-1-1-200i3−i3001-1i3−i3i3−i3−i3i300-11−i3i3−i3i30000i3i3−i3−i3−i3−i3i3i3002-2000000-111-100000000
χ554444444-2-4-4-4-444-2-24-2-4-4-4-4-24-2-2-2-2-24-4-422222222000000-2-2000000002200000000000000000000000000000000000000
χ56444444-24-4-4-4-4-2-244-242222-2-244-2-2-2-222-4-4-42222-4000000-2-2000000002200000000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-21111-244-2-2-2-2111111-2-2-2-21111110000000000000000000000000000000000
χ58444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-21111-2-4-4222211-1-1-1-1222211-1-1-1-10000000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2111-222222-1-1-1-12000000113-3-330000-1-13-3-330000000000000000000000000000000000
χ60444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2111-222222-1-1-1-1200000011-333-30000-1-1-333-30000000000000000000000000000000000
χ614444-4-44-24-44-444-2-24-24444-2-422-2-2-2-4-4-4-2-22-2-2-2-2200000022000000002200000000000000000000000000000000000000
χ624444-4-4-244-44-4-2-244-24-2-2-2-2-22-4-4-2-2-222244-4-2-2-2-2-400000022000000002200000000000000000000000000000000000000
χ634444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222111222-2-2211112000000-1-13-3-330000-1-1-333-30000000000000000000000000000000000
χ644444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222111222-2-2211112000000-1-1-333-30000-1-13-3-330000000000000000000000000000000000
χ654444-4-4-2-2-44-44-2-2-2-2-2-2222212221112-2-222-2-1-1-1-1-24-4-2-2-2-2-1-11111222211-1-1-1-10000000000000000000000000000000000
χ664444-4-4-2-2-44-44-2-2-2-2-2-2222212221112-2-222-2-1-1-1-1-2-442222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000000000
χ6744-4-4004400004-44-4-4-4000040004-4-40000000000000000000000000000000002-22-22-22-22-22-20000000000000000000000
χ6844-4-4004400004-44-4-4-4000040004-4-4000000000000000000000000000000000-22-22-22-22-22-220000000000000000000000
χ6944-4-400-240000-224-42-423−2323−23-2000-22200000023−2323−23000000000000000000000002-22-2−1+31−3−1+31−3−1−31+3−1−31+30000000000000000000000
χ7044-4-400-240000-224-42-423−2323−23-2000-22200000023−2323−2300000000000000000000000-22-221−3−1+31−3−1+31+3−1−31+3−1−30000000000000000000000
χ7144-4-400-240000-224-42-4−2323−2323-2000-222000000−2323−2323000000000000000000000002-22-2−1−31+3−1−31+3−1+31−3−1+31−30000000000000000000000
χ7244-4-400-240000-224-42-4−2323−2323-2000-222000000−2323−232300000000000000000000000-22-221+3−1−31+3−1−31−3−1+31−3−1+30000000000000000000000
χ734-44-44-44-244-4-4-4-4224-244-4-4-24-2222-2-44-4-22-2-2-2222000000-2200000000-2200000000000000000000000000000000000000
χ744-44-44-4-24-4-44422-4-4-2422-2-2-2-24-422-222-2-44-422-2-24000000-22000000002-200000000000000000000000000000000000000
χ754-44-44-4-2-244-4-42222-2-2-2-2221-2-22-1-112-22-22-211-1-1200−2i32i3001-1i3−i3i3−i3−2i32i3001-1i3−i3i3−i30000000000000000000000000000000000
χ764-44-44-4-2-244-4-42222-2-2-2-2221-2-22-1-112-22-22-211-1-12002i3−2i3001-1−i3i3−i3i32i3−2i3001-1−i3i3−i3i30000000000000000000000000000000000
χ774-44-44-4-2-2-4-4442222-2-222-2-21-2-22-1-1122-22-22-1-111-20000−2i32i31-1i3i3−i3−i300−2i32i3-11i3i3−i3−i30000000000000000000000000000000000
χ784-44-44-4-2-2-4-4442222-2-222-2-21-2-22-1-1122-22-22-1-111-200002i3−2i31-1−i3−i3i3i3002i3−2i3-11−i3−i3i3i30000000000000000000000000000000000
χ794-44-4-444-2-444-4-4-4224-2-4-444-2-42-222-244-42-2-222-2-220000002-200000000-2200000000000000000000000000000000000000
χ804-44-4-44-244-4-4422-4-4-24-2-222-22-4422-2-22-24-4-4-2-22240000002-2000000002-200000000000000000000000000000000000000
χ814-44-4-44-2-24-4-442222-2-2-2-222122-2-1-11-22-2-22211-1-1-20000−2i32i3-11i3i3−i3−i3002i3−2i3-11−i3−i3i3i30000000000000000000000000000000000
χ824-44-4-44-2-24-4-442222-2-2-2-222122-2-1-11-22-2-22211-1-1-200002i3−2i3-11−i3−i3i3i300−2i32i3-11i3i3−i3−i30000000000000000000000000000000000
χ834-44-4-44-2-2-444-42222-2-222-2-2122-2-1-11-2-222-2-2-1-111200−2i32i300-11i3−i3i3−i32i3−2i3001-1−i3i3−i3i30000000000000000000000000000000000
χ844-44-4-44-2-2-444-42222-2-222-2-2122-2-1-11-2-222-2-2-1-1112002i3−2i300-11−i3i3−i3i3−2i32i3001-1i3−i3i3−i30000000000000000000000000000000000
χ854-4-4400440000-44-44-4-400004000-44-40000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ864-4-4400440000-44-44-4-400004000-44-4000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ874-4-4400-2400002-2-442-423−23−2323-20002-2200000023−23−2323000000000000000000000002i−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
χ884-4-4400-2400002-2-442-423−23−2323-20002-2200000023−23−232300000000000000000000000−2i2i2i−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
χ894-4-4400-2400002-2-442-4−232323−23-20002-22000000−232323−23000000000000000000000002i−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
χ904-4-4400-2400002-2-442-4−232323−23-20002-22000000−232323−2300000000000000000000000−2i2i2i−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
χ9188-8-8008-400008-8-44-840000-4000-4440000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-44-444443−4343−4320002-2-2000000−2323−2323000000000000000000000000000000000000000000000000000000000
χ9388-8-800-4-40000-44-4444−4343−434320002-2-200000023−2323−23000000000000000000000000000000000000000000000000000000000
χ948-8-88008-40000-884-4-840000-40004-440000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004-44-44443−43−43432000-22-2000000−232323−23000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004-44-444−434343−432000-22-200000023−23−2323000000000000000000000000000000000000000000000000000000000

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