Finite Group Databasebeta

← Group #11889399

Character table — Group #11889399

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444444444444888888888888888888888121212121212121224242424242424242424242424242424363636363636484872
order1222223344666666344466666666666121212121212121241212121212121212121212121212121212121212244412121212444468812121212122424242444888812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-11-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-11111-1-1-1-1-1-111-1
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
χ511111111111111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-11-111-1-11-1-1-1-1-1-1-1-111-1-1-1-1111
χ611111111111111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1
χ711111111111111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1
χ811111111111111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-11111111111-1-1-1-1-1-11
χ91111-1-11111111111111-1-1-1-1-11-1-1-1-11111111111-111-1-1-1-1-1-111-1-11111-1-1-1-11-1-11-1-11111-1-111-1-111-1-111-1-1-1-111-1-11-11
χ101111-1-11111111111111-1-1-1-1-11-1-1-1-11111111111-111-1-1-1-1-1-111-1-11111-1-1-1-11-1-11-1-1111-1-111-11-111-1-1-1-11111-1-111-11-1
χ111111-1-11111111111111-1-1-1-1-11-1-1-1-11111111111-111-1-1-1-1-1-111-1-11111-1-1-1-1-111-111-1-1-111-1-11-11-1-11111-1-111-1-1111-1-1
χ121111-1-11111111111111-1-1-1-1-11-1-1-1-11111111111-111-1-1-1-1-1-111-1-11111-1-1-1-1-111-111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-111
χ131111-1-111111111111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-11111-1-111-1-1-1-1-1-111111-1-11-1-111-111-11-11-1-1-111-1-111-1-1-1-1111-11
χ141111-1-111111111111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-11111-1-111-1-1-1-1-1-111111-1-11-1-111-1-11111-1-1-1-11111-1-11111-1-1-11-1
χ151111-1-111111111111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-11111-1-111-1-1-1-1-1-11111-111-111-1-111-1-1-1-11111-1-1-1-1111111-1-11-1-1
χ161111-1-111111111111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-11111-1-111-1-1-1-1-1-11111-111-111-1-11-1-11-11-1111-1-111-1-1-1-1-1-111-111
χ1722222222-2-2222222200-2222222222220000-2-2-2-20000000-2-2-2-2-2-20000000022-2-2-2-2-2-20000200200000000000000000
χ1822222222-2-2222222200-2222222222220000-2-2-2-20000000-2-2-2-2-2-200000000-2-22222220000-200-200000000000000000
χ192222222-12222-12-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-12-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12020-100-1-1-1-1-10000000000000
χ202222222-12222-12-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-20-20100111110000000000000
χ212222222-12222-12-1-1-1-2-2222-1-1-1-1-1-1-1-1-11111-1-122-2-2-2-2-2112-1-1-1-1-1111111112222-1-1-1-1-20-20-100-111110000000000000
χ222222222-12222-12-1-1-1-2-2222-1-1-1-1-1-1-1-1-11111-1-122-2-2-2-2-2112-1-1-1-1-111111111-2-2-2-2111120201001-1-1-1-10000000000000
χ232222222-1-2-222-12-1-1-100-222-1-1-1-1-1-1-1-1-1−i3−i3i3i311-2-200000−i3i3-211111−i3−i3i3i3−i3−i3i3i322-2-211110000-100-1−i3i3−i3i30000000000000
χ242222222-1-2-222-12-1-1-100-222-1-1-1-1-1-1-1-1-1−i3−i3i3i311-2-200000−i3i3-211111−i3−i3i3i3−i3−i3i3i3-2-222-1-1-1-100001001i3−i3i3−i30000000000000
χ252222222-1-2-222-12-1-1-100-222-1-1-1-1-1-1-1-1-1i3i3−i3−i311-2-200000i3−i3-211111i3i3−i3−i3i3i3−i3−i322-2-211110000-100-1i3−i3i3−i30000000000000
χ262222222-1-2-222-12-1-1-100-222-1-1-1-1-1-1-1-1-1i3i3−i3−i311-2-200000i3−i3-211111i3i3−i3−i3i3i3−i3−i3-2-222-1-1-1-100001001−i3i3−i3i30000000000000
χ27222222-1222-1-12-122-1222-1-122-1-1-1-1-1-1-1222222-1-12-1-1-1-122-12-1-1-1-1-1-1-1-1-1-1-1-100000000020202200000-1-1-1-1000000-1-10
χ28222222-1222-1-12-122-1222-1-122-1-1-1-1-1-1-1222222-1-12-1-1-1-122-12-1-1-1-1-1-1-1-1-1-1-1-1000000000-20-20-2-2000001111000000110
χ29222222-1222-1-12-122-1-2-22-1-122-1-1-1-1-1-1-1-2-2-2-222-1-1-21111-2-2-12-1-1-1-1111111110000000002020-2-2000001111000000-1-10
χ30222222-1222-1-12-122-1-2-22-1-122-1-1-1-1-1-1-1-2-2-2-222-1-1-21111-2-2-12-1-1-1-111111111000000000-20-202200000-1-1-1-1000000110
χ312222-2-222-2-22222222002-2-2-2-22-2-2-2-2220000-2-2-2-2000000022-2-222000000002-22-222-2-20000200-200000000000000000
χ322222-2-222-2-22222222002-2-2-2-22-2-2-2-2220000-2-2-2-2000000022-2-22200000000-22-22-2-2220000-200200000000000000000
χ332222-2-22-12222-12-1-1-122-2-2-211-11111-1-1-1-1-1-1-1-122-222-2-211-21-1-111-1-1-1-111112-2-2211-1-120-20-1001-1-1110000000000000
χ342222-2-22-12222-12-1-1-122-2-2-211-11111-1-1-1-1-1-1-1-122-222-2-211-21-1-111-1-1-1-11111-222-2-1-111-2020100-111-1-10000000000000
χ352222-2-22-12222-12-1-1-1-2-2-2-2-211-11111-1-11111-1-1222-2-222-1-1-21-1-1111111-1-1-1-12-2-2211-1-1-2020-100111-1-10000000000000
χ362222-2-22-12222-12-1-1-1-2-2-2-2-211-11111-1-11111-1-1222-2-222-1-1-21-1-1111111-1-1-1-1-222-2-1-11120-20100-1-1-1110000000000000
χ372222-2-22-1-2-222-12-1-1-1002-2-211-11111-1-1−i3−i3i3i311-2-200000i3−i32-111-1-1−i3−i3i3i3i3i3−i3−i32-22-2-1-1110000-1001−i3i3i3−i30000000000000
χ382222-2-22-1-2-222-12-1-1-1002-2-211-11111-1-1−i3−i3i3i311-2-200000i3−i32-111-1-1−i3−i3i3i3i3i3−i3−i3-22-2211-1-10000100-1i3−i3−i3i30000000000000
χ392222-2-22-1-2-222-12-1-1-1002-2-211-11111-1-1i3i3−i3−i311-2-200000−i3i32-111-1-1i3i3−i3−i3−i3−i3i3i32-22-2-1-1110000-1001i3−i3−i3i30000000000000
χ402222-2-22-1-2-222-12-1-1-1002-2-211-11111-1-1i3i3−i3−i311-2-200000−i3i32-111-1-1i3i3−i3−i3−i3−i3i3i3-22-2211-1-10000100-1−i3i3i3−i30000000000000
χ412222-2-2-1222-1-12-122-122-211-2-2-11111-1-1222222-1-1-2-1-111-2-21-2-1-111-1-1-1-1111100000000020-202-200000-1-111000000-110
χ422222-2-2-1222-1-12-122-122-211-2-2-11111-1-1222222-1-1-2-1-111-2-21-2-1-111-1-1-1-11111000000000-2020-220000011-1-10000001-10
χ432222-2-2-1222-1-12-122-1-2-2-211-2-2-11111-1-1-2-2-2-222-1-1211-1-1221-2-1-1111111-1-1-1-100000000020-20-220000011-1-1000000-110
χ442222-2-2-1222-1-12-122-1-2-2-211-2-2-11111-1-1-2-2-2-222-1-1211-1-1221-2-1-1111111-1-1-1-1000000000-20202-200000-1-1110000001-10
χ452-2-2200222-2-2-2-22-2222i−2i00000-200002-22i−2i2i−2i2-22-202i−2i0000002-2002i−2i2i−2i00000000000000000000000000002-2002i−2i000
χ462-2-2200222-2-2-2-22-2222i−2i00000-200002-22i−2i2i−2i2-22-202i−2i0000002-2002i−2i2i−2i0000000000000000000000000000-2200−2i2i000
χ472-2-2200222-2-2-2-22-222−2i2i00000-200002-2−2i2i−2i2i2-22-20−2i2i0000002-200−2i2i−2i2i00000000000000000000000000002-200−2i2i000
χ482-2-2200222-2-2-2-22-222−2i2i00000-200002-2−2i2i−2i2i2-22-20−2i2i0000002-200−2i2i−2i2i0000000000000000000000000000-22002i−2i000
χ49444444-24-4-4-2-24-244-200-4-2-244-2-2-2-2-2-2-20000-4-42200000002-4222200000000000000000000000000000000000000000
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
χ51444444-2-244-2-2-2-2-2-21-4-44-2-2-2-211111112222-2-2-2-2-4222222-2-21111-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ52444444-2-2-4-4-2-2-2-2-2-2100-4-2-2-2-21111111−2i3−2i32i32i3222200000−2i32i322-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000
χ53444444-2-2-4-4-2-2-2-2-2-2100-4-2-2-2-211111112i32i3−2i3−2i32222000002i3−2i322-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000
χ544444-4-4-24-4-4-2-24-244-200422-4-4-22222-2-20000-4-4220000000-2422-2-200000000000000000000000000000000000000000
χ554444-4-4-2-244-2-2-2-2-2-2144-422221-1-1-1-111-2-2-2-2-2-2-2-2-4-2-222222211-1-11111-1-1-1-1000000000000000000000000000000000
χ564444-4-4-2-244-2-2-2-2-2-21-4-4-422221-1-1-1-1112222-2-2-2-2422-2-2-2-22211-1-1-1-1-1-11111000000000000000000000000000000000
χ574444-4-4-2-2-4-4-2-2-2-2-2-2100422221-1-1-1-111−2i3−2i32i32i32222000002i3−2i3-2-2-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000
χ584444-4-4-2-2-4-4-2-2-2-2-2-2100422221-1-1-1-1112i32i3−2i3−2i3222200000−2i32i3-2-2-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000
χ5944-4-44-444004-44-4-4-440004-44-4-444-4-4-4400000000000000000000000000000000000000000000000000000000000000
χ6044-4-44-44-2004-4-2-422-20004-4-222-2-2222-200000000000000000000000000000000023−2323−230000000000000000000000000
χ6144-4-44-44-2004-4-2-422-20004-4-222-2-2222-2000000000000000000000000000000000−2323−23230000000000000000000000000
χ6244-4-44-4-2400-2242-4-4-2000-224-42-2-2222-200000000000000000000000000000000000000000000000006−66−6000000000
χ6344-4-44-4-2400-2242-4-4-2000-224-42-2-2222-20000000000000000000000000000000000000000000000000−66−66000000000
χ6444-4-4-4444004-44-4-4-44000-44-44-4-4-444-4400000000000000000000000000000000000000000000000000000000000000
χ6544-4-4-444-2004-4-2-422-2000-442-2222-2-22-200000000000000000000000000000000023−23−23230000000000000000000000000
χ6644-4-4-444-2004-4-2-422-2000-442-2222-2-22-2000000000000000000000000000000000−232323−230000000000000000000000000
χ6744-4-4-44-2400-2242-4-4-20002-2-44222-2-22-200000000000000000000000000000000000000000000000006−6−66000000000
χ6844-4-4-44-2400-2242-4-4-20002-2-44222-2-22-20000000000000000000000000000000000000000000000000−666−6000000000
χ694-44-4004400-44-4-44-44000000040000-4-4000000000000000000000000000000000000000000000000000000022−2200000
χ704-44-4004400-44-4-44-44000000040000-4-40000000000000000000000000000000000000000000000000000000−222200000
χ714-4-440044-44-4-4-44-4440000000-400004-40000-44-44000000000-440000000000000000000000000000000000000000000
χ724-4-44004-24-4-4-4242-2-24i−4i0000020000-22−2i2i−2i2i-224-404i−4i000000-2200−2i2i−2i2i0000000000000000000000000000000000000
χ734-4-44004-24-4-4-4242-2-2−4i4i0000020000-222i−2i2i−2i-224-40−4i4i000000-22002i−2i2i−2i0000000000000000000000000000000000000
χ744-4-44004-2-44-4-4242-2-2000000020000-2223−23−23232-2-440000000002-20023−23−23230000000000000000000000000000000000000
χ754-4-44004-2-44-4-4242-2-2000000020000-22−232323−232-2-440000000002-200−232323−230000000000000000000000000000000000000
χ764-4-4400-244-422-4-2-44-24i−4i0000020000-224i−4i4i−4i4-4-220−2i2i000000-2200−2i2i−2i2i0000000000000000000000000000000000000
χ774-4-4400-244-422-4-2-44-2−4i4i0000020000-22−4i4i−4i4i4-4-2202i−2i000000-22002i−2i2i−2i0000000000000000000000000000000000000
χ784-4-4400-24-4422-4-2-44-2000000020000-220000-442-200023−2300002-200000023−2323−23000000000000000000000000000000000
χ794-4-4400-24-4422-4-2-44-2000000020000-220000-442-2000−232300002-2000000−2323−2323000000000000000000000000000000000
χ804-4-4400-2-24-4222-22-214i−4i00000-13-33-31-1−2i2i−2i2i-22-220−2i2i0000001-13-3i−ii−i3i−3i−3i3i000000000000000000000000000000000
χ814-4-4400-2-24-4222-22-214i−4i00000-1-33-331-1−2i2i−2i2i-22-220−2i2i0000001-1-33i−ii−i−3i3i3i−3i000000000000000000000000000000000
χ824-4-4400-2-24-4222-22-21−4i4i00000-13-33-31-12i−2i2i−2i-22-2202i−2i0000001-13-3−ii−ii−3i3i3i−3i000000000000000000000000000000000
χ834-4-4400-2-24-4222-22-21−4i4i00000-1-33-331-12i−2i2i−2i-22-2202i−2i0000001-1-33−ii−ii3i−3i−3i3i000000000000000000000000000000000
χ844-4-4400-2-2-44222-22-210000000-13-33-31-123−23−23232-22-2000−23230000-11-33−333−33−33−3000000000000000000000000000000000
χ854-4-4400-2-2-44222-22-210000000-13-33-31-1−232323−232-22-200023−230000-11-333−3−33−33−33000000000000000000000000000000000
χ864-4-4400-2-2-44222-22-210000000-1-33-331-123−23−23232-22-200023−230000-113-3−333−3−33−33000000000000000000000000000000000
χ874-4-4400-2-2-44222-22-210000000-1-33-331-1−232323−232-22-2000−23230000-113-33−3−333−33−3000000000000000000000000000000000
χ8888-8-88-8-4-400-44-44442000-44-44-222-2-2-2200000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-88-4-400-44-444420004-44-4-2-2-222-2200000000000000000000000000000000000000000000000000000000000000
χ908-88-8008-400-884-8-44-40000000-400004400000000000000000000000000000000000000000000000000000000000000
χ918-88-800-48004-4-848-8-40000000-400004400000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-4004-444-442000000026-6-66-2-200000000000000000000000000000000000000000000000000000000000000
χ938-88-800-4-4004-444-44200000002-666-6-2-200000000000000000000000000000000000000000000000000000000000000

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