Finite Group Databasebeta

← Group #11792248

Character table — Group #11792248

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order12222233444466666612121212366666661212121212121212121266881212242424242424242424242424242424244444121212121212121222224466666666121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-11-111-1-1-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1111111-1-111-1-1-1-1
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
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-11111-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11-11-1-1-1-1-1-111-1-111-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1111111-1-111-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-111111111-1-1
χ922222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000000000000000000000000002-200
χ1022222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000000000000000000000000000000000-2200
χ112222222-1222222-1-12-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000002220200-1-1-1-1-1-100-1-10000
χ122222222-1222222-1-12-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000-2-2-20-20011111100110000
χ132222222-1222222-1-12-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111000000000000022-20-200-1-1-1-11100110000
χ142222222-1222222-1-12-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000000000000-2-2202001111-1-100-1-10000
χ15222222-122222-1-122-12-1-1-1-1-1-122-1-1-1-1-1-1222-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1200020-1-1000000-1-1000000
χ16222222-122222-1-122-12-1-1-1-1-1-122-1-1-1-1-1-1222-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2000-201100000011000000
χ17222222-122222-1-122-12-1-1-1-1-1-122-1-1-1-1-1-1222-1-12-1-1-1-1-2-2-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2000-201100000011000000
χ18222222-122222-1-122-12-1-1-1-1-1-122-1-1-1-1-1-1222-1-12-1-1-1-1-2-2-1-11111-2-2-2-211111111-2-2-2-211111111200020-1-1000000-1-1000000
χ192222-2-2222-22-222222222222-2-2-2222-2-2-22-2-222222-2-200-2-2000000000000000000000000000000020-20000002200-2-20000
χ202222-2-2222-22-222222222222-2-2-2222-2-2-22-2-222222-2-200-2-20000000000000000000000000000000-202000000-2-200220000
χ212222-2-222-22-22222222-2-2-2-22-2-2-2222-222-222-2-2-2-2-2-2-2002200000000000000000000000000002000-2022000000-2-2000000
χ222222-2-222-22-22222222-2-2-2-22-2-2-2222-222-222-2-2-2-2-2-2-200220000000000000000000000000000-200020-2-200000022000000
χ232222-2-22-12-22-222-1-12-12222-1-211-1-1-1-2-2-2-111-1-1-1-1-11100110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i300000000000000020-200−i3−i3i3i3-1-100110000
χ242222-2-22-12-22-222-1-12-12222-1-211-1-1-1-2-2-2-111-1-1-1-1-11100110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3000000000000000-20200i3i3−i3−i31100-1-10000
χ252222-2-22-12-22-222-1-12-12222-1-211-1-1-1-2-2-2-111-1-1-1-1-11100110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i300000000000000020-200i3i3−i3−i3-1-100110000
χ262222-2-22-12-22-222-1-12-12222-1-211-1-1-1-2-2-2-111-1-1-1-1-11100110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3000000000000000-20200−i3−i3i3i31100-1-10000
χ272222-2-2-12-22-22-1-122-121111-11-2-2-1-1-11-1-1-22211-2111100-1-133−3−3000033−3−333−3−300003333−3−3−3−32000-20-1-100000011000000
χ282222-2-2-12-22-22-1-122-121111-11-2-2-1-1-11-1-1-22211-2111100-1-133−3−3000033−3−333−3−30000−3−3−3−33333-20002011000000-1-1000000
χ292222-2-2-12-22-22-1-122-121111-11-2-2-1-1-11-1-1-22211-2111100-1-1−3−3330000−3−333−3−33300003333−3−3−3−3-20002011000000-1-1000000
χ302222-2-2-12-22-22-1-122-121111-11-2-2-1-1-11-1-1-22211-2111100-1-1−3−3330000−3−333−3−3330000−3−3−3−333332000-20-1-100000011000000
χ312-22-22-22222-2-2-2-2-2-22222-2-2222-2-2-22-22-222-222-2-2-22-2002-200000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ322-22-22-22222-2-2-2-2-2-22222-2-2222-2-2-22-22-222-222-2-2-22-2002-20000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ332-22-22-222-2-222-2-2-2-222-2-222222-2-2-22-2-22-2-22-2-22222-200-22000000000000000000000000000002-2000002-22-20000000000
χ342-22-22-222-2-222-2-2-2-222-2-222222-2-2-22-2-22-2-22-2-22222-200-2200000000000000000000000000000-2200000-22-220000000000
χ352-22-22-22-1-2-222-2-2112-1-2-222-12-1111-1-2-2211-111-1-1-1-11001-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000000002-200000-11-11−i3i300−i3i30000
χ362-22-22-22-1-2-222-2-2112-1-2-222-12-1111-1-2-2211-111-1-1-1-11001-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000000000000-22000001-11-1i3−i300i3−i30000
χ372-22-22-22-1-2-222-2-2112-1-2-222-12-1111-1-2-2211-111-1-1-1-11001-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000000002-200000-11-11i3−i300i3−i30000
χ382-22-22-22-1-2-222-2-2112-1-2-222-12-1111-1-2-2211-111-1-1-1-11001-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000000000000-22000001-11-1−i3i300−i3i30000
χ392-22-22-2-1222-2-211-2-2-12-1-111-1-12-211-11-1122-2-1-1-211-1100-113−33−300003−3−33−333−32i2i−2i−2i−i−iii−i−iii000000−i3i3000000−i3i3000000
χ402-22-22-2-1222-2-211-2-2-12-1-111-1-12-211-11-1122-2-1-1-211-1100-113−33−300003−3−33−333−3−2i−2i2i2iii−i−iii−i−i000000i3−i3000000i3−i3000000
χ412-22-22-2-1222-2-211-2-2-12-1-111-1-12-211-11-1122-2-1-1-211-1100-11−33−330000−333−33−3−332i2i−2i−2i−i−iii−i−iii000000i3−i3000000i3−i3000000
χ422-22-22-2-1222-2-211-2-2-12-1-111-1-12-211-11-1122-2-1-1-211-1100-11−33−330000−333−33−3−33−2i−2i2i2iii−i−iii−i−i000000−i3i3000000−i3i3000000
χ432-22-2-22222-2-22-2-2-2-22222-2-22-2-22-2-222-222-2222-2-2-2-2200-220000000000000000000000000000000000000000000000002-2
χ442-22-2-22222-2-22-2-2-2-22222-2-22-2-22-2-222-222-2222-2-2-2-2200-22000000000000000000000000000000000000000000000000-22
χ452-22-2-2222-222-2-2-2-2-222-2-2222-2-22-2-2222-2-22-2-2-2222-222-22-22-2-222-2-222-22-2-22-220000000000000000000000000000000000
χ462-22-2-2222-222-2-2-2-2-222-2-2222-2-22-2-2222-2-22-2-2-2222-22-222-2-222-2-222-2-22-222-22-20000000000000000000000000000000000
χ472-22-2-222-1-222-2-2-2112-1-2-222-1-21-111-122-21-1111-1-1-11-12-2-112-2-22-111-1-11-111-11-100000000000000000000−i3i3i3−i3−i3i300i3−i30000
χ482-22-2-222-1-222-2-2-2112-1-2-222-1-21-111-122-21-1111-1-1-11-12-2-112-2-22-111-1-11-111-11-100000000000000000000i3−i3−i3i3i3−i300−i3i30000
χ492-22-2-222-1-222-2-2-2112-1-2-222-1-21-111-122-21-1111-1-1-11-1-22-11-222-21-1-111-11-1-11-1100000000000000000000−i3i3i3−i3i3−i300−i3i30000
χ502-22-2-222-1-222-2-2-2112-1-2-222-1-21-111-122-21-1111-1-1-11-1-22-11-222-21-1-111-11-1-11-1100000000000000000000i3−i3−i3i3−i3i300i3−i30000
χ512-22-2-22-12-222-211-2-2-1211-1-1-11-2211-1-1-11-22-2112-1-11-12-2-11-111-12-2-22-11-111-11-10000−i3−i3i3i3i3i3−i3−i3000000−i3i3000000i3−i3000000
χ522-22-2-22-12-222-211-2-2-1211-1-1-11-2211-1-1-11-22-2112-1-11-12-2-11-111-12-2-22-11-111-11-10000i3i3−i3−i3−i3−i3i3i3000000i3−i3000000−i3i3000000
χ532-22-2-22-12-222-211-2-2-1211-1-1-11-2211-1-1-11-22-2112-1-11-1-22-111-1-11-222-21-11-1-11-110000−i3−i3i3i3i3i3−i3−i3000000i3−i3000000−i3i3000000
χ542-22-2-22-12-222-211-2-2-1211-1-1-11-2211-1-1-11-22-2112-1-11-1-22-111-1-11-222-21-11-1-11-110000i3i3−i3−i3−i3−i3i3i3000000−i3i3000000i3−i3000000
χ554444444-2-4-4-4-444-2-24-2-4-4-4-4-24-2-2-2-2-24-4-422222222-2-2002200000000000000000000000000000000000000000000000000
χ56444444-24-4-4-4-4-2-244-242222-2-244-2-2-2-222-4-4-422-422-2-2002200000000000000000000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-211-211114411-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ58444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-211-21111-4-41122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2111-222222-1-12-1-11100-1-1000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000000000
χ60444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2111-222222-1-12-1-11100-1-100000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000000000
χ614444-4-44-2-44-4444-2-24-2-4-4-4-4-2-422-2-2-2-4442-2-2222222200-2-200000000000000000000000000000000000000000000000000
χ624444-4-4-244-44-4-2-244-24-2-2-2-2-22-4-4-2-2-22224-4-4-2-24-2-222002200000000000000000000000000000000000000000000000000
χ634444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222111222-22211-211-1-100-1-10000−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ644444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222111222-22211-211-1-100-1-100002i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ654444-4-4-2-2-44-44-2-2-2-2-2-2222212221112-2-22-2-2-1-12-1-1-1-100112323−23−230000−3−333−3−3330000000000000000000000000000000000
χ664444-4-4-2-2-44-44-2-2-2-2-2-2222212221112-2-22-2-2-1-12-1-1-1-10011−23−232323000033−3−333−3−30000000000000000000000000000000000
χ6744-4-4004400004-44-4-4-4000040004-4-40000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ6844-4-4004400004-44-4-4-4000040004-4-4000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ6944-4-400-240000-224-42-423−2323−23-2000-22200000023−23023−2300000000000000000000002i−2i2i−2iζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ110000000000000000000000
χ7044-4-400-240000-224-42-423−2323−23-2000-22200000023−23023−230000000000000000000000−2i2i−2i2i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ110000000000000000000000
χ7144-4-400-240000-224-42-4−2323−2323-2000-222000000−23230−232300000000000000000000002i−2i2i−2i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ110000000000000000000000
χ7244-4-400-240000-224-42-4−2323−2323-2000-222000000−23230−23230000000000000000000000−2i2i−2i2iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ110000000000000000000000
χ734-44-44-44-244-4-4-4-4224-244-4-4-24-2222-2-44-4-2-22-2-2222-2200-2200000000000000000000000000000000000000000000000000
χ744-44-44-4-24-4-44422-4-4-2422-2-2-2-24-422-222-2-4-44224-2-2-22002-200000000000000000000000000000000000000000000000000
χ754-44-44-4-2-244-4-42222-2-2-2-2221-2-22-1-112-22-2-22112-1-11-1001-123−2323−230000−333−33−3−330000000000000000000000000000000000
χ764-44-44-4-2-244-4-42222-2-2-2-2221-2-22-1-112-22-2-22112-1-11-1001-1−2323−232300003−3−33−333−30000000000000000000000000000000000
χ774-44-44-4-2-2-4-4442222-2-222-2-21-2-22-1-1122-222-2-1-1-2111-100-110000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000
χ784-44-44-4-2-2-4-4442222-2-222-2-21-2-22-1-1122-222-2-1-1-2111-100-1100002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000
χ794-44-4-444-24-4-44-4-4224-244-4-4-2-42-222-24-44-22-2-2-22222-2002-200000000000000000000000000000000000000000000000000
χ804-44-4-44-244-4-4422-4-4-24-2-222-22-4422-2-22-24-44-2-2-4222-2002-200000000000000000000000000000000000000000000000000
χ814-44-4-44-2-24-4-442222-2-2-2-222122-2-1-11-22-2-22-2112-1-1-1100-11000000003i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000
χ824-44-4-44-2-24-4-442222-2-2-2-222122-2-1-11-22-2-22-2112-1-1-1100-1100000000−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000
χ834-44-4-44-2-2-444-42222-2-222-2-2122-2-1-11-2-222-22-1-1-211-114-41-1-222-2-222-21-11-1-11-110000000000000000000000000000000000
χ844-44-4-44-2-2-444-42222-2-222-2-2122-2-1-11-2-222-22-1-1-211-11-441-12-2-222-2-22-11-111-11-10000000000000000000000000000000000
χ854-4-4400440000-44-44-4-400004000-44-40000000000000000000000000000000002-2-222-2-222-2-220000000000000000000000
χ864-4-4400440000-44-44-4-400004000-44-4000000000000000000000000000000000-222-2-222-2-222-20000000000000000000000
χ874-4-4400-2400002-2-442-423−23−2323-20002-2200000023−230−232300000000000000000000002-2-22−1+31−31−3−1+3−1−31+31+3−1−30000000000000000000000
χ884-4-4400-2400002-2-442-423−23−2323-20002-2200000023−230−23230000000000000000000000-222-21−3−1+3−1+31−31+3−1−3−1−31+30000000000000000000000
χ894-4-4400-2400002-2-442-4−232323−23-20002-22000000−2323023−2300000000000000000000002-2-22−1−31+31+3−1−3−1+31−31−3−1+30000000000000000000000
χ904-4-4400-2400002-2-442-4−232323−23-20002-22000000−2323023−230000000000000000000000-222-21+3−1−3−1−31+31−3−1+3−1+31−30000000000000000000000
χ9188-8-8008-400008-8-44-840000-4000-4440000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-44-444443−4343−4320002-2-2000000−23230−232300000000000000000000000000000000000000000000000000000000
χ9388-8-800-4-40000-44-4444−4343−434320002-2-200000023−23023−2300000000000000000000000000000000000000000000000000000000
χ948-8-88008-40000-884-4-840000-40004-440000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004-44-44443−43−43432000-22-2000000−2323023−2300000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004-44-444−434343−432000-22-200000023−230−232300000000000000000000000000000000000000000000000000000000

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