Finite Group Databasebeta

← Group #11898306

Character table — Group #11898306

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order122233444466666612121212344466612121212121212121212121288884121212121212121212121212121212121212121212448888882424242424242424444422266121224242424446644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1
χ4111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111-1-11111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1
χ61111111111111111111111-1-11111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-111
χ81111111111111111111111-1-1111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1
χ9111111-1-111111111-1-1-1-11-111111-1-11-1-1-1-1-1-11111111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-11-1-1-11111-1-11-11-11-1
χ10111111-1-111111111-1-1-1-11-111111-1-11-1-1-1-1-1-11111111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11-1-111-1-111-11-11-11
χ11111111-1-111111111-1-1-1-11-111111-1-11-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-111-1-111-1-1-111-1-11
χ12111111-1-111111111-1-1-1-11-111111-1-11-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-11-1111-1-1-1-1111-1-111-1
χ13111111-1-111111111-1-1-1-11-1-1-1111-1-11-1-1-1-1-1-111111111-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11-1111-1-111-1-11-1-11-11
χ14111111-1-111111111-1-1-1-11-1-1-1111-1-11-1-1-1-1-1-111111111-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-111-1-1-1-111-111-11-1
χ15111111-1-111111111-1-1-1-11-1-1-1111-1-11-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-111-1-11-1-11111-1-1-11-111-1
χ16111111-1-111111111-1-1-1-11-1-1-1111-1-11-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1-11-1-1-111-1-1111-11-1-11
χ1722222222-2-222222222222-20022222-2-2-22222-2-2-200000-200000000-2-2-2-2000000000000000000000000222200000000000-2-20000
χ1822222222-2-222222222222-20022222-2-2-22222-2-2-200000-200000000-2-2-2-2000000000000000000000000-2-2-2-200000000000220000
χ19222222-2-2-2-2222222-2-2-2-22200222-2-2-222-2-2-2-2-2-2-200000200000000-2-22200000000000000000000000022-2-200000000000-220000
χ20222222-2-2-2-2222222-2-2-2-22200222-2-2-222-2-2-2-2-2-2-200000200000000-2-222000000000000000000000000-2-222000000000002-20000
χ2122222-12222-122-1-122222-1222-1-1-1-1-1-122-1-1-1-122-100002-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000000220000-1-1-1-100-1-100
χ2222222-12222-122-1-122222-1222-1-1-1-1-1-122-1-1-1-122-100002-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000000-2-200001111001100
χ2322222-12222-122-1-122222-12-2-2-1-1-1-1-1-122-1-1-1-122-10000-2-1-2-211-2-211-1-1-1-111111111000022220000000000000-2-20000-1-1-1-1001100
χ2422222-12222-122-1-122222-12-2-2-1-1-1-1-1-122-1-1-1-122-10000-2-1-2-211-2-211-1-1-1-1111111110000-2-2-2-20000000000000220000111100-1-100
χ2522222-1-2-222-122-1-12-2-2-2-2-1-222-1-1-111-1-2-2111122-10000-2122-1-1-2-211-1-111-1-1-1-11111000022-2-200000000000002-20000-1-11100-1100
χ2622222-1-2-222-122-1-12-2-2-2-2-1-222-1-1-111-1-2-2111122-10000-2122-1-1-2-211-1-111-1-1-1-111110000-2-2220000000000000-22000011-1-1001-100
χ2722222-1-2-222-122-1-12-2-2-2-2-1-2-2-2-1-1-111-1-2-2111122-1000021-2-21122-1-1-1-1111111-1-1-1-1000022-2-20000000000000-220000-1-111001-100
χ2822222-1-2-222-122-1-12-2-2-2-2-1-2-2-2-1-1-111-1-2-2111122-1000021-2-21122-1-1-1-1111111-1-1-1-10000-2-22200000000000002-2000011-1-100-1100
χ292222-1222222-1-122-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-12222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000200-1-1-1-10000000000
χ302222-1222222-1-122-1-1-1-1-1-1222-1-1-1222-1-1-1-1-1-1-1-12-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000-20011110000000000
χ312222-1222222-1-122-1-1-1-1-1-12-2-2-1-1-1222-1-1-1-1-1-1-1-122222-2211-2-211-2-2-1-1-1-111111111-2-2220000-1-1-1-1-1-1-1-10000-20011110000000000
χ322222-1222222-1-122-1-1-1-1-1-12-2-2-1-1-1222-1-1-1-1-1-1-1-12-2-2-2-2-2211-2-211-2-2-1-1-1-11111111122-2-20000111111110000200-1-1-1-10000000000
χ332222-12-2-2222-1-122-11111-1-222-1-1-1-2-22111111-1-122222-2-2-1-12211-2-2-1-111-1-1-1-1111122-2-20000-1-1-1-111110000-20011-1-10000000000
χ342222-12-2-2222-1-122-11111-1-222-1-1-1-2-22111111-1-12-2-2-2-2-2-2-1-12211-2-2-1-111-1-1-1-11111-2-22200001111-1-1-1-10000200-1-1110000000000
χ352222-12-2-2222-1-122-11111-1-2-2-2-1-1-1-2-22111111-1-1222222-211-2-2-1-122-1-1111111-1-1-1-1-2-2-2-20000-1-1-1-111110000200-1-1110000000000
χ362222-12-2-2222-1-122-11111-1-2-2-2-1-1-1-2-22111111-1-12-2-2-2-22-211-2-2-1-122-1-1111111-1-1-1-1222200001111-1-1-1-10000-20011-1-10000000000
χ372-22-2222-2002-2-2-2-2222-2-220002-2-22-200022-2-2000−i2−i2i2i2000000000000000000000000−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i22-22-20000000−i2i2−i2i2000000
χ382-22-2222-2002-2-2-2-2222-2-220002-2-22-200022-2-2000−i2−i2i2i2000000000000000000000000−i2i2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2-22-220000000i2−i2i2−i2000000
χ392-22-2222-2002-2-2-2-2222-2-220002-2-22-200022-2-2000i2i2−i2−i2000000000000000000000000i2−i2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2-22-220000000−i2i2−i2i2000000
χ402-22-2222-2002-2-2-2-2222-2-220002-2-22-200022-2-2000i2i2−i2−i2000000000000000000000000i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i22-22-20000000i2−i2i2−i2000000
χ412-22-222-22002-2-2-2-22-2-22220002-2-2-22000-2-222000−i2−i2i2i2000000000000000000000000i2−i2−i2i2i2−i2−i2−i2i2i2i2i2−i2−i22-2-220000000−i2i2i2−i2000000
χ422-22-222-22002-2-2-2-22-2-22220002-2-2-22000-2-222000−i2−i2i2i2000000000000000000000000i2−i2i2−i2−i2i2−i2−i2i2i2i2i2−i2−i2-222-20000000i2−i2−i2i2000000
χ432-22-222-22002-2-2-2-22-2-22220002-2-2-22000-2-222000i2i2−i2−i2000000000000000000000000−i2i2−i2i2i2−i2i2i2−i2−i2−i2−i2i2i2-222-20000000−i2i2i2−i2000000
χ442-22-222-22002-2-2-2-22-2-22220002-2-2-22000-2-222000i2i2−i2−i2000000000000000000000000−i2i2i2−i2−i2i2i2i2−i2−i2−i2−i2i2i22-2-220000000i2−i2−i2i2000000
χ452-2-2222002-2-22-22-2-20000202i−2i-22-20020000002-2-22-22-2002i−2i2i−2i00002-2002i2i−2i−2i00002i−2i0000002-22-200000000000002i−2i0000000000
χ462-2-2222002-2-22-22-2-20000202i−2i-22-20020000002-2-2-22-22002i−2i2i−2i00002-2002i2i−2i−2i0000−2i2i000000-22-220000000000000−2i2i0000000000
χ472-2-2222002-2-22-22-2-2000020−2i2i-22-20020000002-2-22-22-200−2i2i−2i2i00002-200−2i−2i2i2i0000−2i2i0000002-22-20000000000000−2i2i0000000000
χ482-2-2222002-2-22-22-2-2000020−2i2i-22-20020000002-2-2-22-2200−2i2i−2i2i00002-200−2i−2i2i2i00002i−2i000000-22-2200000000000002i−2i0000000000
χ492-2-22-12002-2-2-112-213−33−3-102i−2i1-110023−33−33−3-11-22-22-200−ii2i−2i−i3i300-113−3−i−iii−i3−i3i3i32i−2i000000-11-113−33−30000000−i3i3−ii0000000000
χ502-2-22-12002-2-2-112-213−33−3-102i−2i1-110023−33−33−3-11-2-22-2200−ii2i−2i−i3i300-113−3−i−iii−i3−i3i3i3−2i2i0000001-11-1−33−330000000i3−i3i−i0000000000
χ512-2-22-12002-2-2-112-213−33−3-10−2i2i1-110023−33−33−3-11-22-22-200i−i−2i2ii3−i300-113−3ii−i−ii3i3−i3−i3−2i2i000000-11-113−33−30000000i3−i3i−i0000000000
χ522-2-22-12002-2-2-112-213−33−3-10−2i2i1-110023−33−33−3-11-2-22-2200i−i−2i2ii3−i300-113−3ii−i−ii3i3−i3−i32i−2i0000001-11-1−33−330000000−i3i3−ii0000000000
χ532-2-22-12002-2-2-112-21−33−33-102i−2i1-11002−33−33−33-11-22-22-200−ii2i−2ii3−i300-11−33−i−iiii3i3−i3−i32i−2i000000-11-11−33−330000000i3−i3−ii0000000000
χ542-2-22-12002-2-2-112-21−33−33-102i−2i1-11002−33−33−33-11-2-22-2200−ii2i−2ii3−i300-11−33−i−iiii3i3−i3−i3−2i2i0000001-11-13−33−30000000−i3i3i−i0000000000
χ552-2-22-12002-2-2-112-21−33−33-10−2i2i1-11002−33−33−33-11-22-22-200i−i−2i2i−i3i300-11−33ii−i−i−i3−i3i3i3−2i2i000000-11-11−33−330000000−i3i3i−i0000000000
χ562-2-22-12002-2-2-112-21−33−33-10−2i2i1-11002−33−33−33-11-2-22-2200i−i−2i2i−i3i300-11−33ii−i−i−i3−i3i3i32i−2i0000001-11-13−33−30000000i3−i3−ii0000000000
χ5744444-244-4-4-244-2-244444-2-400-2-2-2-2-22-4-4-2-2-2-2-4-42000002000000002222000000000000000000000000000000000000000000000
χ5844444-2-4-4-4-4-244-2-24-4-4-4-4-2400-2-2-2222442222-4-4200000-20000000022-2-2000000000000000000000000000000000000000000000
χ594444-2444-4-44-2-244-2-2-2-2-2-2-400-2-2-244-422-2-2-2-222-400000-4000000002222000000000000000000000000000000000000000000000
χ604444-24-4-4-4-44-2-244-22222-2400-2-2-2-4-4-4-2-2222222-40000040000000022-2-2000000000000000000000000000000000000000000000
χ614444-2-24444-2-2-2-2-2-2-2-2-2-21444111-2-2-2-2-21111-2-2-200004-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000
χ624444-2-24444-2-2-2-2-2-2-2-2-2-214-4-4111-2-2-2-2-21111-2-2-20000-4-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000
χ634444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-400111-2-2222111122200000200000000-1-1-1-13-33-33-33-30000000000000000000000000000000000000
χ644444-2-244-4-4-2-2-2-2-2-2-2-2-2-21-400111-2-2222111122200000200000000-1-1-1-1-33-33-33-330000000000000000000000000000000000000
χ654444-2-2-4-444-2-2-2-2-2-222221-44411122-222-1-1-1-1-2-2-20000-42-2-2-2-2222211-1-11111-1-1-1-10000000000000000000000000000000000000
χ664444-2-2-4-444-2-2-2-2-2-222221-4-4-411122-222-1-1-1-1-2-2-20000422222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
χ674444-2-2-4-4-4-4-2-2-2-2-2-222221400111222-2-2-1-1-1-122200000-200000000-1-1113-33-3-33-330000000000000000000000000000000000000
χ684444-2-2-4-4-4-4-2-2-2-2-2-222221400111222-2-2-1-1-1-122200000-200000000-1-111-33-333-33-30000000000000000000000000000000000000
χ6944-4-4440000-4-44-44-400004000-4-44000000000000−2i22i22i2−2i2000000000000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ7044-4-4440000-4-44-44-400004000-4-440000000000002i2−2i2−2i22i20000000000000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ7144-4-4-240000-42-2-44223−23−2323-200022-20000023−23−2323000−2i22i22i2−2i2000000000000000000000000000000i2−i2−i2i2−i6i6i6−i6000000000000000000000
χ7244-4-4-240000-42-2-44223−23−2323-200022-20000023−23−23230002i2−2i2−2i22i2000000000000000000000000000000−i2i2i2−i2i6−i6−i6i6000000000000000000000
χ7344-4-4-240000-42-2-442−232323−23-200022-200000−232323−23000−2i22i22i2−2i2000000000000000000000000000000i2−i2−i2i2i6−i6−i6i6000000000000000000000
χ7444-4-4-240000-42-2-442−232323−23-200022-200000−232323−230002i2−2i2−2i22i2000000000000000000000000000000−i2i2i2−i2−i6i6i6−i6000000000000000000000
χ754-44-44-24-400-2-4-422444-4-4-2000-222-22000-2-222000000000000000000000000000000000−2i22i2−2i22i20000000000000000000i2−i2i2−i2000000
χ764-44-44-24-400-2-4-422444-4-4-2000-222-22000-2-2220000000000000000000000000000000002i2−2i22i2−2i20000000000000000000−i2i2−i2i2000000
χ774-44-44-2-4400-2-4-4224-4-444-2000-2222-200022-2-2000000000000000000000000000000000−2i22i22i2−2i20000000000000000000i2−i2−i2i2000000
χ784-44-44-2-4400-2-4-4224-4-444-2000-2222-200022-2-20000000000000000000000000000000002i2−2i2−2i22i20000000000000000000−i2i2i2−i2000000
χ794-44-4-244-400422-4-4-2-2-222-2000-2224-4000-2-222000−2i2−2i22i22i2000000000000000000000000−2i22i20000i2i2−i2−i2i2i2−i2−i2000000000000000000000
χ804-44-4-244-400422-4-4-2-2-222-2000-2224-4000-2-2220002i22i2−2i2−2i20000000000000000000000002i2−2i20000−i2−i2i2i2−i2−i2i2i2000000000000000000000
χ814-44-4-24-4400422-4-4-222-2-2-2000-222-4400022-2-2000−2i2−2i22i22i20000000000000000000000002i2−2i20000i2i2−i2−i2−i2−i2i2i2000000000000000000000
χ824-44-4-24-4400422-4-4-222-2-2-2000-222-4400022-2-20002i22i2−2i2−2i2000000000000000000000000−2i22i20000−i2−i2i2i2i2i2−i2−i2000000000000000000000
χ834-4-444400-44-44-44-4-400004000-44-400-4000000-44400000000000000-4400000000000000000000000000000000000000000000000
χ844-4-444-2004-424-4-22-40000-204i−4i2-2200-20000004-420000004i−4i−2i2i0000-2200−2i−2i2i2i00000000000000000000000000000000000000000
χ854-4-444-2004-424-4-22-40000-20−4i4i2-2200-20000004-42000000−4i4i2i−2i0000-22002i2i−2i−2i00000000000000000000000000000000000000000
χ864-4-444-200-4424-4-22-40000-20002-22002000000-44-2000000000000−2i32i32-2000000−2i32i32i3−2i30000000000000000000000000000000000000
χ874-4-444-200-4424-4-22-40000-20002-22002000000-44-20000000000002i3−2i32-20000002i3−2i3−2i32i30000000000000000000000000000000000000
χ884-4-44-2400-44-4-224-4223−2323−23-20002-2200-4−232323−2323−232-24000000000000002-2−2323000000000000000000000000000000000000000000000
χ894-4-44-2400-44-4-224-42−2323−2323-20002-2200-423−23−2323−23232-24000000000000002-223−23000000000000000000000000000000000000000000000
χ904-4-44-2-2004-42-22-22223−2323−23104i−4i-11-100-223−23−33−33-222000000−2i2i−2i2i−2i32i3001-1−33ii−i−ii3i3−i3−i30000000000000000000000000000000000000
χ914-4-44-2-2004-42-22-22223−2323−2310−4i4i-11-100-223−23−33−33-2220000002i−2i2i−2i2i3−2i3001-1−33−i−iii−i3−i3i3i30000000000000000000000000000000000000
χ924-4-44-2-2004-42-22-222−2323−2323104i−4i-11-100-2−23233−33−3-222000000−2i2i−2i2i2i3−2i3001-13−3ii−i−i−i3−i3i3i30000000000000000000000000000000000000
χ934-4-44-2-2004-42-22-222−2323−232310−4i4i-11-100-2−23233−33−3-2220000002i−2i2i−2i−2i32i3001-13−3−i−iiii3i3−i3−i30000000000000000000000000000000000000
χ944-4-44-2-200-442-22-22223−2323−231000-11-1002−2323−33−332-2-2000000000000−2i32i3-113−3−3i3i3i−3ii3−i3−i3i30000000000000000000000000000000000000
χ954-4-44-2-200-442-22-22223−2323−231000-11-1002−2323−33−332-2-20000000000002i3−2i3-113−33i−3i−3i3i−i3i3i3−i30000000000000000000000000000000000000
χ964-4-44-2-200-442-22-222−2323−23231000-11-100223−233−33−32-2-2000000000000−2i32i3-11−333i−3i−3i3ii3−i3−i3i30000000000000000000000000000000000000
χ974-4-44-2-200-442-22-222−2323−23231000-11-100223−233−33−32-2-20000000000002i3−2i3-11−33−3i3i3i−3i−i3i3i3−i30000000000000000000000000000000000000
χ9888-8-88-400004-884-4-80000-400044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4000044-44-4443−43−43432000-2-2200000−232323−23000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4000044-44-44−434343−432000-2-220000023−23−2323000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-48-800-44444-4-4-44420002-2-2-4400022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-8800-44444-444-4-420002-2-24-4000-2-222000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).