Finite Group Databasebeta

← Group #11889096

Character table — Group #11889096

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444444444444888888888888888888888121212121212121224242424242424242424242424242424363636363636484872
order1222223344666666223466666666666666612121212266666666666666121212121212244466121224446688121212122424242444888812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1111
χ61111111111111111-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-11111-1-11111-1-1-1
χ71111111111111111-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1
χ81111111111111111-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-111111-1-111111111-1-1-1-1-1-11
χ91111-1-11111111111111-1-1-1-1-1111111-1-1-1-111111-111-1-1-1-11111-1-1-1-1-1-111-1-11-11-111-1-111-1-111-11-11-1-111-1-11111-1-11-1-1
χ101111-1-11111111111111-1-1-1-1-1111111-1-1-1-111111-111-1-1-1-11111-1-1-1-1-1-111-1-11-11-111-1-11-11-1111-1-11-1-1-1-111-1-1-1-111-111
χ111111-1-11111111111111-1-1-1-1-1111111-1-1-1-111111-111-1-1-1-11111-1-1-1-1-1-111-1-1-11-11-1-111-11-11-1-1-111-11111-1-1-1-1-1-1111-11
χ121111-1-11111111111111-1-1-1-1-1111111-1-1-1-111111-111-1-1-1-11111-1-1-1-1-1-111-1-1-11-11-1-111-1-111-1-11-11-111-1-1111111-1-1-11-1
χ131111-1-11111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-11111-1-111-1-11-11-111-1-1-11-11-1-11-1-1111-1-11111-1-1111-1-1
χ141111-1-11111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-11111-1-111-1-11-11-111-1-1-1-111-1-1-11-111111-1-1-1-111-1-1-111
χ151111-1-11111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-11111-1-111-1-1-11-11-1-11111-1-1111-11-1-1-1-1-111-1-111-1-11-11
χ161111-1-11111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-11111-1-111-1-1-11-11-1-1111-11-111-111-1-1-111-1-111-1-111-11-1
χ1722222222-2-2222222002-2222200002222222-2-2-2-2000000000000000-2-2-2-2-2-22-2-22222200000000-2-2000000000000000
χ1822222222-2-2222222002-2222200002222222-2-2-2-2000000000000000-2-2-2-2-2-2-222-2-2-2-2-20000000022000000000000000
χ192222222-1222-1-122-122-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-1-12002-1-100-1-1-1-10000000000000
χ202222222-1222-1-122-122-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-21111-200-2110011110000000000000
χ212222222-1222-1-122-1-2-2-1222-1-11111-1-1-1-1-1-1-1-1-122-2-2-2-2-21111111111-12-1-1-1-12222-1-1-1-1-200-21100-1-1110000000000000
χ222222222-1222-1-122-1-2-2-1222-1-11111-1-1-1-1-1-1-1-1-122-2-2-2-2-21111111111-12-1-1-1-1-2-2-2-211112002-1-10011-1-10000000000000
χ232222222-1-2-22-1-122-100-1-222-1-1−i3−i3i3i3-1-1-1-1-1-1-111-2-200000−i3i3−i3−i3i3i3−i3−i3i3i31-211112-2-22-1-1-1-10000−i3i30011−i3i30000000000000
χ242222222-1-2-22-1-122-100-1-222-1-1−i3−i3i3i3-1-1-1-1-1-1-111-2-200000−i3i3−i3−i3i3i3−i3−i3i3i31-21111-222-211110000i3−i300-1-1i3−i30000000000000
χ252222222-1-2-22-1-122-100-1-222-1-1i3i3−i3−i3-1-1-1-1-1-1-111-2-200000i3−i3i3i3−i3−i3i3i3−i3−i31-211112-2-22-1-1-1-10000i3−i30011i3−i30000000000000
χ262222222-1-2-22-1-122-100-1-222-1-1i3i3−i3−i3-1-1-1-1-1-1-111-2-200000i3−i3i3i3−i3−i3i3i3−i3−i31-21111-222-211110000−i3i300-1-1−i3i30000000000000
χ27222222-1222-122-1-1222-12-1-1222222-1-1-1-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-100000000022000220000-1-1-1-1000000-1-10
χ28222222-1222-122-1-1222-12-1-1222222-1-1-1-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1000000000-2-2000-2-200001111000000110
χ29222222-1222-122-1-12-2-2-12-1-122-2-2-2-2-1-1-1-1-1-1-122-1-1-21111-2-2111111112-1-1-1-1-100000000022000-2-200001111000000-1-10
χ30222222-1222-122-1-12-2-2-12-1-122-2-2-2-2-1-1-1-1-1-1-122-1-1-21111-2-2111111112-1-1-1-1-1000000000-2-2000220000-1-1-1-1000000110
χ312222-2-222-2-22222220022-2-2-2-2000022-2-2-2-22-2-2-2-200000000000000022-2-22222-2-222-2-2000000002-2000000000000000
χ322222-2-222-2-22222220022-2-2-2-2000022-2-2-2-22-2-2-2-200000000000000022-2-222-2-222-2-22200000000-22000000000000000
χ332222-2-22-1222-1-122-122-1-2-2-211-1-1-1-1-1-11111-1-1-122-222-2-211-1-1-1-111111-2-1-1112-22-2-1-111200-2-1-1001-1110000000000000
χ342222-2-22-1222-1-122-122-1-2-2-211-1-1-1-1-1-11111-1-1-122-222-2-211-1-1-1-111111-2-1-111-22-2211-1-1-20021100-11-1-10000000000000
χ352222-2-22-1222-1-122-1-2-2-1-2-2-2111111-1-11111-1-1-1222-2-222-1-11111-1-1-1-11-2-1-1112-22-2-1-111-200211001-1-1-10000000000000
χ362222-2-22-1222-1-122-1-2-2-1-2-2-2111111-1-11111-1-1-1222-2-222-1-11111-1-1-1-11-2-1-111-22-2211-1-1200-2-1-100-11110000000000000
χ372222-2-22-1-2-22-1-122-100-12-2-211−i3−i3i3i3-1-11111-111-2-200000i3−i3−i3−i3i3i3i3i3−i3−i3-1211-1-122-2-2-1-1110000−i3i300-11i3−i30000000000000
χ382222-2-22-1-2-22-1-122-100-12-2-211−i3−i3i3i3-1-11111-111-2-200000i3−i3−i3−i3i3i3i3i3−i3−i3-1211-1-1-2-22211-1-10000i3−i3001-1−i3i30000000000000
χ392222-2-22-1-2-22-1-122-100-12-2-211i3i3−i3−i3-1-11111-111-2-200000−i3i3i3i3−i3−i3−i3−i3i3i3-1211-1-122-2-2-1-1110000i3−i300-11−i3i30000000000000
χ402222-2-22-1-2-22-1-122-100-12-2-211i3i3−i3−i3-1-11111-111-2-200000−i3i3i3i3−i3−i3−i3−i3i3i3-1211-1-1-2-22211-1-10000−i3i3001-1i3−i30000000000000
χ412222-2-2-1222-122-1-1222-1-211-2-22222-1-11111-122-1-1-2-1-111-2-2-1-1-1-11111-21-1-1110000000002-2000-220000-1-111000000-110
χ422222-2-2-1222-122-1-1222-1-211-2-22222-1-11111-122-1-1-2-1-111-2-2-1-1-1-11111-21-1-111000000000-220002-2000011-1-10000001-10
χ432222-2-2-1222-122-1-12-2-2-1-211-2-2-2-2-2-2-1-11111-122-1-1211-1-1221111-1-1-1-1-21-1-1110000000002-20002-2000011-1-1000000-110
χ442222-2-2-1222-122-1-12-2-2-1-211-2-2-2-2-2-2-1-11111-122-1-1211-1-1221111-1-1-1-1-21-1-111000000000-22000-220000-1-1110000001-10
χ452-22-200222-2-2-22-22-22-22000002-22-2-2-2000022-22-202-200002-22-20000002-2000000000000000000000000002i−2i2i−2i00000
χ462-22-200222-2-2-22-22-22-22000002-22-2-2-2000022-22-202-200002-22-20000002-200000000000000000000000000−2i2i−2i2i00000
χ472-22-200222-2-2-22-22-2-22200000-22-22-2-2000022-22-20-220000-22-220000002-2000000000000000000000000002i−2i−2i2i00000
χ482-22-200222-2-2-22-22-2-22200000-22-22-2-2000022-22-20-220000-22-220000002-200000000000000000000000000−2i2i2i−2i00000
χ49444444-24-4-4-244-2-2400-2-4-2-2440000-2-2-2-2-2-2-2-4-422000000000000000-422222000000000000000000000000000000000
χ50444444-2-244-2-2-2-2-2-24414-2-2-2-2-2-2-2-21111111-2-2-2-24-2-2-2-2-2-211111111-2-21111000000000000000000000000000000000
χ51444444-2-244-2-2-2-2-2-2-4-414-2-2-2-222221111111-2-2-2-2-4222222-1-1-1-1-1-1-1-1-2-21111000000000000000000000000000000000
χ52444444-2-2-4-4-2-2-2-2-2-2001-4-2-2-2-2−2i3−2i32i32i31111111222200000−2i32i3i3i3−i3−i3i3i3−i3−i322-1-1-1-1000000000000000000000000000000000
χ53444444-2-2-4-4-2-2-2-2-2-2001-4-2-2-2-22i32i3−2i3−2i311111112222000002i3−2i3−i3−i3i3i3−i3−i3i3i322-1-1-1-1000000000000000000000000000000000
χ544444-4-4-24-4-4-244-2-2400-2422-4-40000-2-22222-2-4-4220000000000000004-222-2-2000000000000000000000000000000000
χ554444-4-4-2-244-2-2-2-2-2-2441-42222-2-2-2-211-1-1-1-11-2-2-2-2-4-2-222221111-1-1-1-12211-1-1000000000000000000000000000000000
χ564444-4-4-2-244-2-2-2-2-2-2-4-41-42222222211-1-1-1-11-2-2-2-2422-2-2-2-2-1-1-1-111112211-1-1000000000000000000000000000000000
χ574444-4-4-2-2-4-4-2-2-2-2-2-200142222−2i3−2i32i32i311-1-1-1-112222000002i3−2i3i3i3−i3−i3−i3−i3i3i3-2-2-1-111000000000000000000000000000000000
χ584444-4-4-2-2-4-4-2-2-2-2-2-2001422222i32i3−2i3−2i311-1-1-1-11222200000−2i32i3−i3−i3i3i3i3i3−i3−i3-2-2-1-111000000000000000000000000000000000
χ5944-4-4004400-44-44-4-40040000000004-40000-400000000000000000000000000000000000000000000000000000−2i22i2000
χ6044-4-4004400-44-44-4-40040000000004-40000-4000000000000000000000000000000000000000000000000000002i2−2i2000
χ614-44-40044-44-4-44-44-4004000000000-4-400004-44-4400000000000000000-4400000000000000000000000000000000000
χ624-44-4004-24-4-42-2-4424-4-200000-22-22220000-2-224-404-40000-22-22000000-2200000000000000000000000000000000000
χ634-44-4004-24-4-42-2-442-44-2000002-22-2220000-2-224-40-4400002-22-2000000-2200000000000000000000000000000000000
χ644-44-4004-2-44-42-2-44200-200000−2i32i32i3−2i3220000-22-2-440000000−2i32i32i3−2i30000002-200000000000000000000000000000000000
χ654-44-4004-2-44-42-2-44200-2000002i3−2i3−2i32i3220000-22-2-4400000002i3−2i3−2i32i30000002-200000000000000000000000000000000000
χ664-44-400-244-42-442-2-44-4-2000004-44-4220000-24-4-220-220000-22-22000000-2200000000000000000000000000000000000
χ674-44-400-244-42-442-2-4-44-200000-44-44220000-24-4-2202-200002-22-2000000-2200000000000000000000000000000000000
χ684-44-400-24-442-442-2-400-2000000000220000-2-442-2000−2i32i3000000−2i32i3−2i32i3002-200000000000000000000000000000000000
χ694-44-400-24-442-442-2-400-2000000000220000-2-442-20002i3−2i30000002i3−2i32i3−2i3002-200000000000000000000000000000000000
χ704-44-400-2-24-422-22-224-4100000-22-22-1-133-3-31-22-220-2200001-11-13-3-33001-13-3000000000000000000000000000000000
χ714-44-400-2-24-422-22-224-4100000-22-22-1-1-3-3331-22-220-2200001-11-1-333-3001-1-33000000000000000000000000000000000
χ724-44-400-2-24-422-22-22-441000002-22-2-1-133-3-31-22-2202-20000-11-11-333-3001-13-3000000000000000000000000000000000
χ734-44-400-2-24-422-22-22-441000002-22-2-1-1-3-3331-22-2202-20000-11-113-3-33001-1-33000000000000000000000000000000000
χ744-44-400-2-2-4422-22-2200100000−2i32i32i3−2i3-1-133-3-312-22-20002i3−2i300i3−i3−i3i3−i3i3−i3i300-11-33000000000000000000000000000000000
χ754-44-400-2-2-4422-22-2200100000−2i32i32i3−2i3-1-1-3-33312-22-2000−2i32i300i3−i3−i3i3i3−i3i3−i300-113-3000000000000000000000000000000000
χ764-44-400-2-2-4422-22-22001000002i3−2i3−2i32i3-1-133-3-312-22-2000−2i32i300−i3i3i3−i3i3−i3i3−i300-11-33000000000000000000000000000000000
χ774-44-400-2-2-4422-22-22001000002i3−2i3−2i32i3-1-1-3-33312-22-20002i3−2i300−i3i3i3−i3−i3i3−i3i300-113-3000000000000000000000000000000000
χ784-4-444-444004-4-4-4-4400404-44-40000-444-44-4-40000000000000000000000000000000000000000000000000000000000
χ794-4-444-44-200422-4-4-200-204-4-2200002-2-22-22200000000000000000000000000000−2i32i3−2i32i30000000000000000000000000
χ804-4-444-44-200422-4-4-200-204-4-2200002-2-22-222000000000000000000000000000002i3−2i32i3−2i30000000000000000000000000
χ814-4-444-4-2400-2-4-422400-20-224-400002-2-22-2220000000000000000000000000000000000000000000006−66−6000000000
χ824-4-444-4-2400-2-4-422400-20-224-400002-2-22-222000000000000000000000000000000000000000000000−66−66000000000
χ834-4-44-4444004-4-4-4-440040-44-440000-44-44-44-40000000000000000000000000000000000000000000000000000000000
χ844-4-44-444-200422-4-4-200-20-442-200002-22-22-2200000000000000000000000000000−2i32i32i3−2i30000000000000000000000000
χ854-4-44-444-200422-4-4-200-20-442-200002-22-22-22000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000
χ864-4-44-44-2400-2-4-422400-202-2-4400002-22-22-220000000000000000000000000000000000000000000006−6−66000000000
χ874-4-44-44-2400-2-4-422400-202-2-4400002-22-22-22000000000000000000000000000000000000000000000−666−6000000000
χ8888-8-8008-400-8-448-8400-4000000000-44000040000000000000000000000000000000000000000000000000000000000
χ8988-8-800-480048-8-44-800-4000000000-44000040000000000000000000000000000000000000000000000000000000000
χ9088-8-800-4-4004-44-4440020000000002-26-6-66-20000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-4004-44-4440020000000002-2-666-6-20000000000000000000000000000000000000000000000000000000000
χ928-8-888-8-4-400-44444-40020-44-440000-222-22-2-20000000000000000000000000000000000000000000000000000000000
χ938-8-88-88-4-400-44444-400204-44-40000-22-22-22-20000000000000000000000000000000000000000000000000000000000

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