Finite Group Databasebeta

← Group #11884106

Character table — Group #11884106

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444444444444888888888888888888888121212121212121224242424242424242424242424242424363636363636484872
order122222334466666634446666666666612121212121212124121212121212121212121212121212121212121224446612124444881212121212122424242422888812122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-11-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-11111-1-1-1-1-1-111-1
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
χ5111111111111111111-1-11111111111111-1-1-1-111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111-11-11-1-11-1-11-1-1-1-1-1-111-1-1-1-1111
χ6111111111111111111-1-11111111111111-1-1-1-111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-11-1-11111-1-11111-1-1-1
χ7111111111111111111-1-11111111111111-1-1-1-111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-111-1-1-1-1-1-1111111-1
χ8111111111111111111-1-11111111111111-1-1-1-111-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-111-111111111-1-1-1-1-1-11
χ91111-1-111111111111-111-1-1-1-111-1-1-1-1111111111-1-111-1-1-1-1-111-1-11111-1-1-1-11-1-1111-1-1-111-11-1-1-1-111111-1-1-1-111-1-11-11
χ101111-1-111111111111-111-1-1-1-111-1-1-1-1111111111-1-111-1-1-1-1-111-1-11111-1-1-1-11-1-1111-1-1-1-111-11-1-1-1111-1-11111-1-111-11-1
χ111111-1-111111111111-111-1-1-1-111-1-1-1-1111111111-1-111-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-11111-1-11-1111-1-1-111-1-111-1-1111-1-1
χ121111-1-111111111111-111-1-1-1-111-1-1-1-1111111111-1-111-1-1-1-1-111-1-11111-1-1-1-1-111-1-1-1111-1-11-11111-1-1-1-1-111-1-111-1-1-111
χ131111-1-111111111111-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1111-1-1-111-11111-1-1-1-1-1-111111-1-1111-1-111-1-1-11-1111-1-1-1-111-1-1-1-1111-11
χ141111-1-111111111111-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1111-1-1-111-11111-1-1-1-1-1-111111-1-1111-1-11-1-111-1-1111-1-111-1-11111-1-1-11-1
χ151111-1-111111111111-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1111-1-1-111-11111-1-1-1-1-1-11111-111-1-1-111-111-1-111-1-1-111-1-1111111-1-11-1-1
χ161111-1-111111111111-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1111-1-1-111-11111-1-1-1-1-1-11111-111-1-1-111-1-1111-11-1-1-11111-1-1-1-1-1-111-111
χ1722222222-2-22222222-20022222222222-2-20000-2-20-20000-200-2-2-2-20000000022-2-22222000000-200-2000000000000000
χ1822222222-2-22222222-20022222222222-2-20000-2-20-20000-200-2-2-2-200000000-2-222-2-2-2-20000002002000000000000000
χ192222222-1222-12-12-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1202000-1-1-1-1-1-10000000000000
χ202222222-1222-12-12-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-20-20001111110000000000000
χ212222222-1222-12-12-1-12-2-222-1-1-1-1-1-1-1-1-1-1-1111122-22-2-2-2-2-111-1-1-1-1111111112222-1-1-1-1-20-2000-111-1110000000000000
χ222222222-1222-12-12-1-12-2-222-1-1-1-1-1-1-1-1-1-1-1111122-22-2-2-2-2-111-1-1-1-111111111-2-2-2-211112020001-1-11-1-10000000000000
χ232222222-1-2-22-12-12-1-1-20022-1-1-1-1-1-1-1-1-111−i3−i3i3i3-2-20-200001−i3i31111−i3−i3i3i3−i3−i3i3i322-2-2-1-1-1-10000001−i3i31−i3i30000000000000
χ242222222-1-2-22-12-12-1-1-20022-1-1-1-1-1-1-1-1-111−i3−i3i3i3-2-20-200001−i3i31111−i3−i3i3i3−i3−i3i3i3-2-2221111000000-1i3−i3-1i3−i30000000000000
χ252222222-1-2-22-12-12-1-1-20022-1-1-1-1-1-1-1-1-111i3i3−i3−i3-2-20-200001i3−i31111i3i3−i3−i3i3i3−i3−i322-2-2-1-1-1-10000001i3−i31i3−i30000000000000
χ262222222-1-2-22-12-12-1-1-20022-1-1-1-1-1-1-1-1-111i3i3−i3−i3-2-20-200001i3−i31111i3i3−i3−i3i3i3−i3−i3-2-2221111000000-1−i3i3-1−i3i30000000000000
χ27222222-1222-12-12-12-1222-1-122-1-1-1-1-1-1-1222222-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100000000020222000000-1-1-1-1000000-1-10
χ28222222-1222-12-12-12-1222-1-122-1-1-1-1-1-1-1222222-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1000000000-20-2-2-20000001111000000110
χ29222222-1222-12-12-12-12-2-2-1-122-1-1-1-1-1-1-122-2-2-2-2-1-1-2-111112-2-2-1-1-1-111111111000000000202-2-20000001111000000-1-10
χ30222222-1222-12-12-12-12-2-2-1-122-1-1-1-1-1-1-122-2-2-2-2-1-1-2-111112-2-2-1-1-1-111111111000000000-20-222000000-1-1-1-1000000110
χ312222-2-222-2-22222222200-2-2-2-222-2-2-2-22-2-20000-2-2020000200-2-222000000002-22-222-2-2000000200-2000000000000000
χ322222-2-222-2-22222222200-2-2-2-222-2-2-2-22-2-20000-2-2020000200-2-22200000000-22-22-2-222000000-2002000000000000000
χ332222-2-22-1222-12-12-1-1-222-2-211-1-11111-1-1-1-1-1-1-122-2-222-2-2111-1-111-1-1-1-111112-2-22-1-111-202000111-1-1-10000000000000
χ342222-2-22-1222-12-12-1-1-222-2-211-1-11111-1-1-1-1-1-1-122-2-222-2-2111-1-111-1-1-1-11111-222-211-1-120-2000-1-1-11110000000000000
χ352222-2-22-1222-12-12-1-1-2-2-2-2-211-1-11111-1-1-11111222-2-2-2221-1-1-1-1111111-1-1-1-12-2-22-1-11120-20001-1-1-1110000000000000
χ362222-2-22-1222-12-12-1-1-2-2-2-2-211-1-11111-1-1-11111222-2-2-2221-1-1-1-1111111-1-1-1-1-222-211-1-1-202000-1111-1-10000000000000
χ372222-2-22-1-2-22-12-12-1-1200-2-211-1-11111-111−i3−i3i3i3-2-2020000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-22-2-1-111000000-1i3−i31−i3i30000000000000
χ382222-2-22-1-2-22-12-12-1-1200-2-211-1-11111-111−i3−i3i3i3-2-2020000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-22-2211-1-10000001−i3i3-1i3−i30000000000000
χ392222-2-22-1-2-22-12-12-1-1200-2-211-1-11111-111i3i3−i3−i3-2-2020000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i32-22-2-1-111000000-1−i3i31i3−i30000000000000
χ402222-2-22-1-2-22-12-12-1-1200-2-211-1-11111-111i3i3−i3−i3-2-2020000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-22-2211-1-10000001i3−i3-1−i3i30000000000000
χ412222-2-2-1222-12-12-12-1-22211-2-2-1-11111-1222222-1-1-21-1-111-2-2-2-1-111-1-1-1-1111100000000020-22-2000000-1-111000000-110
χ422222-2-2-1222-12-12-12-1-22211-2-2-1-11111-1222222-1-1-21-1-111-2-2-2-1-111-1-1-1-11111000000000-202-2200000011-1-10000001-10
χ432222-2-2-1222-12-12-12-1-2-2-211-2-2-1-11111-122-2-2-2-2-1-12111-1-1-222-1-1111111-1-1-1-100000000020-2-2200000011-1-1000000-110
χ442222-2-2-1222-12-12-12-1-2-2-211-2-2-1-11111-122-2-2-2-2-1-12111-1-1-222-1-1111111-1-1-1-1000000000-2022-2000000-1-1110000001-10
χ452-2-220022-22-2-2-2-222202-20000-2-2000022-22-22-22-2002-2000002-2002-22-200000000000000000000000000002-2002-2000
χ462-2-220022-22-2-2-2-222202-20000-2-2000022-22-22-22-2002-2000002-2002-22-20000000000000000000000000000-2200-22000
χ472-2-220022-22-2-2-2-22220-220000-2-2000022-2-22-222-200-22000002-200-22-2200000000000000000000000000002-200-22000
χ482-2-220022-22-2-2-2-22220-220000-2-2000022-2-22-222-200-22000002-200-22-220000000000000000000000000000-22002-2000
χ49444444-24-4-4-24-24-24-2-400-2-244-2-2-2-2-2-2-2-4-4000022020000-400222200000000000000000000000000000000000000000
χ50444444-2-244-2-2-2-2-2-21444-2-2-2-21111111-2-2-2-2-2-2-2-24-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000
χ51444444-2-244-2-2-2-2-2-214-4-4-2-2-2-21111111-2-22222-2-2-4-22222-2221111-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ52444444-2-2-4-4-2-2-2-2-2-21-400-2-2-2-2111111122−2i3−2i32i32i3220200002−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000
χ53444444-2-2-4-4-2-2-2-2-2-21-400-2-2-2-21111111222i32i3−2i3−2i32202000022i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000
χ544444-4-4-24-4-4-24-24-24-240022-4-4-2-22222-2-4-40000220-2000040022-2-200000000000000000000000000000000000000000
χ554444-4-4-2-244-2-2-2-2-2-21-444222211-1-1-1-11-2-2-2-2-2-2-2-2-42-2-22222211-1-11111-1-1-1-1000000000000000000000000000000000
χ564444-4-4-2-244-2-2-2-2-2-21-4-4-4222211-1-1-1-11-2-22222-2-24222-2-22-2-211-1-1-1-1-1-11111000000000000000000000000000000000
χ574444-4-4-2-2-4-4-2-2-2-2-2-21400222211-1-1-1-1122−2i3−2i32i32i3220-20000-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000
χ584444-4-4-2-2-4-4-2-2-2-2-2-21400222211-1-1-1-11222i32i3−2i3−2i3220-20000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000
χ5944-4-44-4440044-4-4-4-440004-44-44-444-4-4-400000000000000000000000000000000000000000000000000000000000000
χ6044-4-44-44-2004-2-42-42-20004-4-22-22-2-2222000000000000000000000000000000000−2i32i3−2i32i30000000000000000000000000
χ6144-4-44-44-2004-2-42-42-20004-4-22-22-2-22220000000000000000000000000000000002i3−2i32i3−2i30000000000000000000000000
χ6244-4-44-4-2400-242-42-4-2000-224-4-22-2-22220000000000000000000000000000000000000000000000000i6−i6i6−i6000000000
χ6344-4-44-4-2400-242-42-4-2000-224-4-22-2-22220000000000000000000000000000000000000000000000000−i6i6−i6i6000000000
χ6444-4-4-44440044-4-4-4-44000-44-444-4-4-444-400000000000000000000000000000000000000000000000000000000000000
χ6544-4-4-444-2004-2-42-42-2000-442-2-2222-2-22000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000
χ6644-4-4-444-2004-2-42-42-2000-442-2-2222-2-220000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000
χ6744-4-4-44-2400-242-42-4-20002-2-44-2222-2-220000000000000000000000000000000000000000000000000i6−i6−i6i6000000000
χ6844-4-4-44-2400-242-42-4-20002-2-44-2222-2-220000000000000000000000000000000000000000000000000−i6i6i6−i6000000000
χ694-44-4004400-4-444-4-440000000-440000-40000000000000000000000000000000000000000000000000000000−2i22i200000
χ704-44-4004400-4-444-4-440000000-440000-400000000000000000000000000000000000000000000000000000002i2−2i200000
χ714-4-4400444-4-4-4-4-44440000000-4-400004-440000-44000000000-440000000000000000000000000000000000000000000
χ724-4-44004-24-4-42-424-2-20000000220000-22-2−2i32i32i3−2i3-440000000002-200−2i32i32i3−2i30000000000000000000000000000000000000
χ734-4-44004-24-4-42-424-2-20000000220000-22-22i3−2i3−2i32i3-440000000002-2002i3−2i3−2i32i30000000000000000000000000000000000000
χ744-4-44004-2-44-42-424-2-204-40000220000-2-22-22-224-4004-400000-2200-22-220000000000000000000000000000000000000
χ754-4-44004-2-44-42-424-2-20-440000220000-2-222-22-24-400-4400000-22002-22-20000000000000000000000000000000000000
χ764-4-4400-244-42-42-4-24-20000000220000-2-4400002-20000−2i32i30002-2000000−2i32i3−2i32i3000000000000000000000000000000000
χ774-4-4400-244-42-42-4-24-20000000220000-2-4400002-200002i3−2i30002-20000002i3−2i32i3−2i3000000000000000000000000000000000
χ784-4-4400-24-442-42-4-24-204-40000220000-24-44-44-4-2200-2200000-2200-22-220000000000000000000000000000000000000
χ794-4-4400-24-442-42-4-24-20-440000220000-24-4-44-44-22002-200000-22002-22-20000000000000000000000000000000000000
χ804-4-4400-2-24-42222-2-210000000-1-13-33-312-2−2i32i32i3−2i32-20000−2i32i3000-113-3i3−i3−i3i3i3−i3i3−i3000000000000000000000000000000000
χ814-4-4400-2-24-42222-2-210000000-1-13-33-312-22i3−2i3−2i32i32-200002i3−2i3000-113-3−i3i3i3−i3−i3i3−i3i3000000000000000000000000000000000
χ824-4-4400-2-24-42222-2-210000000-1-1-33-3312-2−2i32i32i3−2i32-200002i3−2i3000-11-33i3−i3−i3i3−i3i3−i3i3000000000000000000000000000000000
χ834-4-4400-2-24-42222-2-210000000-1-1-33-3312-22i3−2i3−2i32i32-20000−2i32i3000-11-33−i3i3i3−i3i3−i3i3−i3000000000000000000000000000000000
χ844-4-4400-2-2-442222-2-2104-40000-1-13-33-31-22-22-22-2200-22000001-1-331-11-1-333-3000000000000000000000000000000000
χ854-4-4400-2-2-442222-2-2104-40000-1-1-33-331-22-22-22-2200-22000001-13-31-11-13-3-33000000000000000000000000000000000
χ864-4-4400-2-2-442222-2-210-440000-1-13-33-31-222-22-2-22002-2000001-1-33-11-113-3-33000000000000000000000000000000000
χ874-4-4400-2-2-442222-2-210-440000-1-1-33-331-222-22-2-22002-2000001-13-3-11-11-333-3000000000000000000000000000000000
χ8888-8-88-8-4-400-4-444442000-44-442-222-2-2-200000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-88-4-400-4-4444420004-44-42-2-2-222-200000000000000000000000000000000000000000000000000000000000000
χ908-88-8008-400-848-4-84-400000004-40000400000000000000000000000000000000000000000000000000000000000000
χ918-88-800-48004-8-484-8-400000004-40000400000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40044-4-44420000000-226-6-66-200000000000000000000000000000000000000000000000000000000000000
χ938-88-800-4-40044-4-44420000000-22-666-6-200000000000000000000000000000000000000000000000000000000000000

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