Finite Group Databasebeta

← Group #11889707

Character table — Group #11889707

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
χ91111-1-111111111111-111-1-1-1-11-1-1-1-11111111111-1-111-1-1-1-1-111-1-11111-1-1-1-11-11-111-1-1-111-1-111-1-1-11111-1-11111-1-11-1-1
χ101111-1-111111111111-111-1-1-1-11-1-1-1-11111111111-1-111-1-1-1-1-111-1-11111-1-1-1-11-11-111-1-1-1-1111-11-1-1-111-1-111-1-1-1-111-111
χ111111-1-111111111111-111-1-1-1-11-1-1-1-11111111111-1-111-1-1-1-1-111-1-11111-1-1-1-1-11-11-1-11111-1-1-11-1111-1-111-1-1-1-1-1-1111-11
χ121111-1-111111111111-111-1-1-1-11-1-1-1-11111111111-1-111-1-1-1-1-111-1-11111-1-1-1-1-11-11-1-1111-1-111-1-1111-1-1-1-1111111-1-1-11-1
χ131111-1-111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-111-11111-1-1-1-1-1-111111-11-111-1-111-1-11-1111-1-1-1-1-11111-1-1111-1-1
χ141111-1-111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-111-11111-1-1-1-1-1-111111-11-111-1-11-1-11-11111-1-1-111-1-1-1-111-1-1-111
χ151111-1-111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-111-11111-1-1-1-1-1-11111-11-11-1-111-111-11-1-1-1-1111-1-111-1-111-1-11-11
χ161111-1-111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-111-11111-1-1-1-1-1-11111-11-11-1-111-1-111-11-1-1-111111-1-111-1-111-11-1
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
χ192222222-1222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1202000-1-1-1-1-1-10000000000000
χ202222222-1222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-20-20001111110000000000000
χ212222222-1222-122-1-1-12-2-222-1-1-1-1-1-1-1-1-1-1-1111122-22-2-2-2-2-111-1-1-1-1111111112222-1-1-1-1-20-2000-111-1110000000000000
χ222222222-1222-122-1-1-12-2-222-1-1-1-1-1-1-1-1-1-1-1111122-22-2-2-2-2-111-1-1-1-111111111-2-2-2-211112020001-1-11-1-10000000000000
χ232222222-1-2-22-122-1-1-1-20022-1-1-1-1-1-1-1-1-111−i3−i3i3i3-2-20-200001−i3i31111−i3−i3i3i3−i3−i3i3i322-2-2-1-1-1-10000001−i3i31−i3i30000000000000
χ242222222-1-2-22-122-1-1-1-20022-1-1-1-1-1-1-1-1-111−i3−i3i3i3-2-20-200001−i3i31111−i3−i3i3i3−i3−i3i3i3-2-2221111000000-1i3−i3-1i3−i30000000000000
χ252222222-1-2-22-122-1-1-1-20022-1-1-1-1-1-1-1-1-111i3i3−i3−i3-2-20-200001i3−i31111i3i3−i3−i3i3i3−i3−i322-2-2-1-1-1-10000001i3−i31i3−i30000000000000
χ262222222-1-2-22-122-1-1-1-20022-1-1-1-1-1-1-1-1-111i3i3−i3−i3-2-20-200001i3−i31111i3i3−i3−i3i3i3−i3−i3-2-2221111000000-1−i3i3-1−i3i30000000000000
χ27222222-1222-12-1-122-1222-1-122-1-1-1-1-1-1-1222222-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100000000020222000000-1-1-1-1000000-1-10
χ28222222-1222-12-1-122-1222-1-122-1-1-1-1-1-1-1222222-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1000000000-20-2-2-20000001111000000110
χ29222222-1222-12-1-122-12-2-2-1-122-1-1-1-1-1-1-122-2-2-2-2-1-1-2-111112-2-2-1-1-1-111111111000000000202-2-20000001111000000-1-10
χ30222222-1222-12-1-122-12-2-2-1-122-1-1-1-1-1-1-122-2-2-2-2-1-1-2-111112-2-2-1-1-1-111111111000000000-20-222000000-1-1-1-1000000110
χ312222-2-222-2-22222222200-2-2-2-22-2-2-2-222-2-20000-2-2020000200-2-222000000002-2-2222-2-2000000-2002000000000000000
χ322222-2-222-2-22222222200-2-2-2-22-2-2-2-222-2-20000-2-2020000200-2-22200000000-222-2-2-222000000200-2000000000000000
χ332222-2-22-1222-122-1-1-1-222-2-211-11111-1-1-1-1-1-1-1-122-2-222-2-2111-1-111-1-1-1-111112-22-2-1-111-202000-1111-1-10000000000000
χ342222-2-22-1222-122-1-1-1-222-2-211-11111-1-1-1-1-1-1-1-122-2-222-2-2111-1-111-1-1-1-11111-22-2211-1-120-20001-1-1-1110000000000000
χ352222-2-22-1222-122-1-1-1-2-2-2-2-211-11111-1-1-1-11111222-2-2-2221-1-1-1-1111111-1-1-1-12-22-2-1-11120-2000-1-1-11110000000000000
χ362222-2-22-1222-122-1-1-1-2-2-2-2-211-11111-1-1-1-11111222-2-2-2221-1-1-1-1111111-1-1-1-1-22-2211-1-1-202000111-1-1-10000000000000
χ372222-2-22-1-2-22-122-1-1-1200-2-211-11111-1-111−i3−i3i3i3-2-2020000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-2-22-1-1110000001i3−i3-1−i3i30000000000000
χ382222-2-22-1-2-22-122-1-1-1200-2-211-11111-1-111−i3−i3i3i3-2-2020000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-222-211-1-1000000-1−i3i31i3−i30000000000000
χ392222-2-22-1-2-22-122-1-1-1200-2-211-11111-1-111i3i3−i3−i3-2-2020000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i32-2-22-1-1110000001−i3i3-1i3−i30000000000000
χ402222-2-22-1-2-22-122-1-1-1200-2-211-11111-1-111i3i3−i3−i3-2-2020000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-222-211-1-1000000-1i3−i31−i3i30000000000000
χ412222-2-2-1222-12-1-122-1-22211-2-2-11111-1-1222222-1-1-21-1-111-2-2-2-1-111-1-1-1-1111100000000020-2-22000000-1-111000000-110
χ422222-2-2-1222-12-1-122-1-22211-2-2-11111-1-1222222-1-1-21-1-111-2-2-2-1-111-1-1-1-11111000000000-2022-200000011-1-10000001-10
χ432222-2-2-1222-12-1-122-1-2-2-211-2-2-11111-1-122-2-2-2-2-1-12111-1-1-222-1-1111111-1-1-1-100000000020-22-200000011-1-1000000-110
χ442222-2-2-1222-12-1-122-1-2-2-211-2-2-11111-1-122-2-2-2-2-1-12111-1-1-222-1-1111111-1-1-1-1000000000-202-22000000-1-1110000001-10
χ452-22-200222-2-2-22-22-2202i−2i0000-200002-22-22i−2i2i−2i2-2002i−2i000002-2002i−2i2i−2i00000000000000000000000000002-22i−2i00000
χ462-22-200222-2-2-22-22-2202i−2i0000-200002-22-22i−2i2i−2i2-2002i−2i000002-2002i−2i2i−2i0000000000000000000000000000-22−2i2i00000
χ472-22-200222-2-2-22-22-220−2i2i0000-200002-22-2−2i2i−2i2i2-200−2i2i000002-200−2i2i−2i2i00000000000000000000000000002-2−2i2i00000
χ482-22-200222-2-2-22-22-220−2i2i0000-200002-22-2−2i2i−2i2i2-200−2i2i000002-200−2i2i−2i2i0000000000000000000000000000-222i−2i00000
χ49444444-24-4-4-24-2-244-2-400-2-244-2-2-2-2-2-2-2-4-4000022020000-400222200000000000000000000000000000000000000000
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
χ544444-4-4-24-4-4-24-2-244-240022-4-4-22222-2-2-4-40000220-2000040022-2-200000000000000000000000000000000000000000
χ554444-4-4-2-244-2-2-2-2-2-21-44422221-1-1-1-111-2-2-2-2-2-2-2-2-42-2-22222211-1-11111-1-1-1-1000000000000000000000000000000000
χ564444-4-4-2-244-2-2-2-2-2-21-4-4-422221-1-1-1-111-2-22222-2-24222-2-22-2-211-1-1-1-1-1-11111000000000000000000000000000000000
χ574444-4-4-2-2-4-4-2-2-2-2-2-2140022221-1-1-1-11122−2i3−2i32i32i3220-20000-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000
χ584444-4-4-2-2-4-4-2-2-2-2-2-2140022221-1-1-1-111222i32i3−2i3−2i3220-20000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000
χ5944-4-44-4440044-4-4-4-440004-44-4444-4-4-4-400000000000000000000000000000000000000000000000000000000000000
χ6044-4-44-44-2004-2-4-422-20004-4-22-2-2-22222000000000000000000000000000000000−2i32i3−2i32i30000000000000000000000000
χ6144-4-44-44-2004-2-4-422-20004-4-22-2-2-222220000000000000000000000000000000002i3−2i32i3−2i30000000000000000000000000
χ6244-4-44-4-2400-2422-4-4-2000-224-4-2-2-222220000000000000000000000000000000000000000000000000i6−i6i6−i6000000000
χ6344-4-44-4-2400-2422-4-4-2000-224-4-2-2-222220000000000000000000000000000000000000000000000000−i6i6−i6i6000000000
χ6444-4-4-44440044-4-4-4-44000-44-444-4-444-4-400000000000000000000000000000000000000000000000000000000000000
χ6544-4-4-444-2004-2-4-422-2000-442-2-222-2-222000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000
χ6644-4-4-444-2004-2-4-422-2000-442-2-222-2-2220000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000
χ6744-4-4-44-2400-2422-4-4-20002-2-44-222-2-2220000000000000000000000000000000000000000000000000i6−i6−i6i6000000000
χ6844-4-4-44-2400-2422-4-4-20002-2-44-222-2-2220000000000000000000000000000000000000000000000000−i6i6i6−i6000000000
χ694-44-40044-44-4-44-44-440000000-400004-4-440000-44000000000-440000000000000000000000000000000000000000000
χ704-44-4004-24-4-424-4-22-204i−4i000020000-22-22−2i2i−2i2i4-4004i−4i00000-2200−2i2i−2i2i0000000000000000000000000000000000000
χ714-44-4004-24-4-424-4-22-20−4i4i000020000-22-222i−2i2i−2i4-400−4i4i00000-22002i−2i2i−2i0000000000000000000000000000000000000
χ724-44-4004-2-44-424-4-22-2000000020000-222-223−23−2323-440000000002-20023−23−23230000000000000000000000000000000000000
χ734-44-4004-2-44-424-4-22-2000000020000-222-2−232323−23-440000000002-200−232323−230000000000000000000000000000000000000
χ744-44-400-244-42-4-224-4-204i−4i000020000-224-44i−4i4i−4i-2200−2i2i00000-2200−2i2i−2i2i0000000000000000000000000000000000000
χ754-44-400-244-42-4-224-4-20−4i4i000020000-224-4−4i4i−4i4i-22002i−2i00000-22002i−2i2i−2i0000000000000000000000000000000000000
χ764-44-400-24-442-4-224-4-2000000020000-22-4400002-2000023−230002-200000023−2323−23000000000000000000000000000000000
χ774-44-400-24-442-4-224-4-2000000020000-22-4400002-20000−23230002-2000000−2323−2323000000000000000000000000000000000
χ784-44-400-2-24-422-22-22104i−4i0000-13-33-31-1-22−2i2i−2i2i-2200−2i2i000001-13-3i−ii−i3i−3i−3i3i000000000000000000000000000000000
χ794-44-400-2-24-422-22-22104i−4i0000-1-33-331-1-22−2i2i−2i2i-2200−2i2i000001-1-33i−ii−i−3i3i3i−3i000000000000000000000000000000000
χ804-44-400-2-24-422-22-2210−4i4i0000-13-33-31-1-222i−2i2i−2i-22002i−2i000001-13-3−ii−ii−3i3i3i−3i000000000000000000000000000000000
χ814-44-400-2-24-422-22-2210−4i4i0000-1-33-331-1-222i−2i2i−2i-22002i−2i000001-1-33−ii−ii3i−3i−3i3i000000000000000000000000000000000
χ824-44-400-2-2-4422-22-2210000000-13-33-31-12-223−23−23232-20000−2323000-11-33−333−33−33−3000000000000000000000000000000000
χ834-44-400-2-2-4422-22-2210000000-13-33-31-12-2−232323−232-2000023−23000-11-333−3−33−33−33000000000000000000000000000000000
χ844-44-400-2-2-4422-22-2210000000-1-33-331-12-223−23−23232-2000023−23000-113-3−333−3−33−33000000000000000000000000000000000
χ854-44-400-2-2-4422-22-2210000000-1-33-331-12-2−232323−232-20000−2323000-113-33−3−333−33−3000000000000000000000000000000000
χ864-4-44004400-4-4-44-4440000000-40000-4400000000000000000000000000000000000000000000000000000000022−22000
χ874-4-44004400-4-4-44-4440000000-40000-44000000000000000000000000000000000000000000000000000000000−2222000
χ8888-8-88-8-4-400-4-444442000-44-44222-2-2-2-200000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-88-4-400-4-4444420004-44-42-2-222-2-200000000000000000000000000000000000000000000000000000000000000
χ908-8-88008-400-84-884-4-40000000400004-400000000000000000000000000000000000000000000000000000000000000
χ918-8-8800-48004-84-4-88-40000000400004-400000000000000000000000000000000000000000000000000000000000000
χ928-8-8800-4-400444-44-420000000-26-6-66-2200000000000000000000000000000000000000000000000000000000000000
χ938-8-8800-4-400444-44-420000000-2-666-6-2200000000000000000000000000000000000000000000000000000000000000

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