Finite Group Databasebeta

← Group #11836008

Character table — Group #11836008

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444444444488888888888888888888888121212121212121212121212121212122424242424242424242424242424242436363636363672
order12222222336666666666666634444666666612121212412121212121212121212121212121212121212121212222222446666121212124444666612121212121212122222444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ5111111111111111111111111111-1-111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111111111-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1111
χ6111111111111111111111111111-1-111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1
χ7111111111111111111111111111-1-111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1
χ8111111111111111111111111111-1-111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-11111-1-1-1-1111
χ91111111111111111111111111-1-1111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-11-11111-1-1-1-111-1-111-1-1-1-11
χ101111111111111111111111111-1-1111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-111-1-11111-1
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-111-1-111-1-1-1-11111-1
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-1-1-11111-1-11111-1-1-1-11
χ131111111111111111111111111-1-1-1-11111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11-1-1111-1-111-1-1-1-111-1-111-1-11
χ141111111111111111111111111-1-1-1-11111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1111111-1-111-1-111-1
χ151111111111111111111111111-1-1-1-11111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-111111-1-1-1-1-1-11111-1-111-1
χ161111111111111111111111111-1-1-1-11111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-111-1-1-111-1-11111-1-1-1-111-1-11
χ17222222222-1222-1-1-1222-1-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122220022-1-1-1-1-1-1-1-1200000-1-1-1-10000000000000
χ18222222222-1222-1-1-1222-1-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-211111111-20000011110000000000000
χ19222222222-1222-1-1-1222-1-1-1-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-222-2-211-2-211-1-1-1-11111111122-2-20022-1-1-1-1-1-1-1-1-20000011110000000000000
χ20222222222-1222-1-1-1222-1-1-1-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-222-2-211-2-211-1-1-1-111111111-2-22200-2-211111111200000-1-1-1-10000000000000
χ21222222222-1222-1-1-1222-1-1-1-12-1-2-222-1-1-1-1-1-1-11111-2-2-222-1-1-2-2111111-1-1-1-11111222200-2-2-1-1-1-11111-200000-1-1110000000000000
χ22222222222-1222-1-1-1222-1-1-1-12-1-2-222-1-1-1-1-1-1-11111-2-2-222-1-1-2-2111111-1-1-1-11111-2-2-2-200221111-1-1-1-120000011-1-10000000000000
χ23222222222-1222-1-1-1222-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-111112-2-2-2-21122-1-111111111-1-1-1-122-2-200-2-2-1-1-1-1111120000011-1-10000000000000
χ24222222222-1222-1-1-1222-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-111112-2-2-2-21122-1-111111111-1-1-1-1-2-22200221111-1-1-1-1-200000-1-1110000000000000
χ2522222222-12-1-1-1222-1-1-12222-1-12222-1-1-1-1-1-1-122222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100002200000000000222-1-10000-1-1-1-1-1-10000000
χ2622222222-12-1-1-1222-1-1-12222-1-12222-1-1-1-1-1-1-122222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-200000000000-2-2-21100001111110000000
χ2722222222-12-1-1-1222-1-1-12222-1-122-2-2-1-1-1-1-1-1-12222-2-1-111-2-211-2-2-1-1-1-111111111000022000000000002-2-2-1-10000-1-111110000000
χ2822222222-12-1-1-1222-1-1-12222-1-122-2-2-1-1-1-1-1-1-12222-2-1-111-2-211-2-2-1-1-1-1111111110000-2-200000000000-22211000011-1-1-1-10000000
χ2922222222-12-1-1-1222-1-1-12222-1-1-2-222-1-1-1-1-1-1-1-2-2-2-2-211-1-12211-2-21111-1-1-1-1111100002200000000000-22-2-1-1000011-1-1110000000
χ3022222222-12-1-1-1222-1-1-12222-1-1-2-222-1-1-1-1-1-1-1-2-2-2-2-211-1-12211-2-21111-1-1-1-111110000-2-2000000000002-22110000-1-111-1-10000000
χ3122222222-12-1-1-1222-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-221111-2-2-1-12211111111-1-1-1-100002200000000000-2-22-1-100001111-1-10000000
χ3222222222-12-1-1-1222-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-221111-2-2-1-12211111111-1-1-1-10000-2-20000000000022-2110000-1-1-1-1110000000
χ3322-22-22-2-22222222-2-2-2-2-2-22-2-220000222-2-2-2-200000000000000000000000000000002-22i−2i00002i2i−2i−2i00002-2000000000000002i−2i0
χ3422-22-22-2-22222222-2-2-2-2-2-22-2-220000222-2-2-2-200000000000000000000000000000002-2−2i2i0000−2i−2i2i2i00002-200000000000000−2i2i0
χ3522-22-22-2-22222222-2-2-2-2-2-22-2-220000222-2-2-2-20000000000000000000000000000000-222i−2i00002i2i−2i−2i0000-2200000000000000−2i2i0
χ3622-22-22-2-22222222-2-2-2-2-2-22-2-220000222-2-2-2-20000000000000000000000000000000-22−2i2i0000−2i−2i2i2i0000-22000000000000002i−2i0
χ372-2-222-22-2222-2-2-2-222-2-2-2-222222-2002-2-222-2-222-2-202-20000000022-2-200000000000000000000000000000000000000002-22-2000
χ382-2-222-22-2222-2-2-2-222-2-2-2-222222-2002-2-222-2-222-2-202-20000000022-2-20000000000000000000000000000000000000000-22-22000
χ392-2-222-22-2222-2-2-2-222-2-2-2-22222-22002-2-222-2-2-2-2220-2200000000-2-22200000000000000000000000000000000000000002-2-22000
χ402-2-222-22-2222-2-2-2-222-2-2-2-22222-22002-2-222-2-2-2-2220-2200000000-2-2220000000000000000000000000000000000000000-222-2000
χ412-2-2-2-222222-22-22-22-22-22-2-2-222002-2-22-22-22-200000002-22-20000000022-2-200002-22-2000022-2-200000000002-2000000000000000
χ422-2-2-2-222222-22-22-22-22-22-2-2-222002-2-22-22-22-200000002-22-20000000022-2-20000-22-220000-2-2220000000000-22000000000000000
χ432-2-2-2-222222-22-22-22-22-22-2-2-22200-22-22-22-22-20000000-22-2200000000-2-22200002-2-22000022-2-20000000000-22000000000000000
χ442-2-2-2-222222-22-22-22-22-22-2-2-22200-22-22-22-22-20000000-22-2200000000-2-2220000-222-20000-2-22200000000002-2000000000000000
χ452-2-2-2-22222-1-22-2-11-1-22-2-11112-1002-21-11-11-113−33−30002-2-11003−33−33−3-1-11133−3−32-22-20000-1-1113−33−3000000-113−30000000000000
χ462-2-2-2-22222-1-22-2-11-1-22-2-11112-1002-21-11-11-113−33−30002-2-11003−33−33−3-1-11133−3−3-22-22000011-1-1−33−330000001-1−330000000000000
χ472-2-2-2-22222-1-22-2-11-1-22-2-11112-1002-21-11-11-11−33−330002-2-1100−33−33−33-1-111−3−3332-22-20000-1-111−33−33000000-11−330000000000000
χ482-2-2-2-22222-1-22-2-11-1-22-2-11112-1002-21-11-11-11−33−330002-2-1100−33−33−33-1-111−3−333-22-22000011-1-13−33−30000001-13−30000000000000
χ492-2-2-2-22222-1-22-2-11-1-22-2-11112-100-221-11-11-113−33−3000-221-100−333−33−311-1-1−3−3332-2-220000-1-1113−33−30000001-1−330000000000000
χ502-2-2-2-22222-1-22-2-11-1-22-2-11112-100-221-11-11-113−33−3000-221-100−333−33−311-1-1−3−333-222-2000011-1-1−33−33000000-113−30000000000000
χ512-2-2-2-22222-1-22-2-11-1-22-2-11112-100-221-11-11-11−33−33000-221-1003−3−33−3311-1-133−3−32-2-220000-1-111−33−330000001-13−30000000000000
χ522-2-2-2-22222-1-22-2-11-1-22-2-11112-100-221-11-11-11−33−33000-221-1003−3−33−3311-1-133−3−3-222-2000011-1-13−33−3000000-11−330000000000000
χ5344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144441111111-2-2-2-24-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000000
χ5444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-41111111-2-2-2-2-4-2-2222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-44411111112222-422-2-2-2-22222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4111111122224222222-2-2-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000
χ57444-4-4-44-444-4-44-444-4-44-44-4-4440000-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000
χ58444-4-4-44-44-2-4-442-2-2-4-442-2224-2000022-2-222-223−23−23230000000000023−23−232300000000000000000000000000000000000000000000000
χ59444-4-4-44-44-2-4-442-2-2-4-442-2224-2000022-2-222-2−232323−2300000000000−232323−2300000000000000000000000000000000000000000000000
χ60444-4-4-44-4-2422-2-44422-2-44-4-4-2-2000022-2-222-200000000000−2i32i30000000000−2i32i3−2i32i3000000000000000000000000000000000000000
χ61444-4-4-44-4-2422-2-44422-2-44-4-4-2-2000022-2-222-2000000000002i3−2i300000000002i3−2i32i3−2i3000000000000000000000000000000000000000
χ62444-4-4-44-4-2-222-22-2-222-22-222-210000-1-111-1-1123−23−23230000000−2i32i300−333−33i−3i3i−3ii3−i3i3−i3000000000000000000000000000000000000000
χ63444-4-4-44-4-2-222-22-2-222-22-222-210000-1-111-1-1123−23−232300000002i3−2i300−333−3−3i3i−3i3i−i3i3−i3i3000000000000000000000000000000000000000
χ64444-4-4-44-4-2-222-22-2-222-22-222-210000-1-111-1-11−232323−230000000−2i32i3003−3−33−3i3i−3i3ii3−i3i3−i3000000000000000000000000000000000000000
χ65444-4-4-44-4-2-222-22-2-222-22-222-210000-1-111-1-11−232323−2300000002i3−2i3003−3−333i−3i3i−3i−i3i3−i3i3000000000000000000000000000000000000000
χ6644-44-44-4-44-2444-2-22-4-4-422-22-4-20000-2-2-222220000000000000000000000000000000004i−4i0000−2i−2i2i2i00000000000000000000000
χ6744-44-44-4-44-2444-2-22-4-4-422-22-4-20000-2-2-22222000000000000000000000000000000000−4i4i00002i2i−2i−2i00000000000000000000000
χ6844-44-44-4-4-24-2-2-244-4222-4-44-42-20000-2-2-2222200000000000000000000000000000004-400000000000000-2200000000000000000
χ6944-44-44-4-4-24-2-2-244-4222-4-44-42-20000-2-2-222220000000000000000000000000000000-44000000000000002-200000000000000000
χ7044-4-44-4-4444-4-44-44-444-44-4-44-440000-4-44-444-4000000000000000000000000000000000000000000000000000000000000000000
χ7144-4-44-4-444-2-4-442-2244-4-222-2-4-2000022-22-2-2200000000000000000000000000000000000−2i32i3−2i32i3000000000000000000000000000
χ7244-4-44-4-444-2-4-442-2244-4-222-2-4-2000022-22-2-22000000000000000000000000000000000002i3−2i32i3−2i3000000000000000000000000000
χ7344-4-44-4-44-2422-2-44-4-2-224-4-442-2000022-22-2-2200000000000000000000000000000000000000000000000000000000023−230000000
χ7444-4-44-4-44-2422-2-44-4-2-224-4-442-2000022-22-2-22000000000000000000000000000000000000000000000000000000000−23230000000
χ754-444-4-4-44444-4-4-4-4-4-444444-4-4400004-4-4-4-444000000000000000000000000000000000000000000000000000000000000000000
χ764-444-4-4-444-24-4-4222-444-2-2-22-4-20000-22222-2-200000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000000
χ774-444-4-4-444-24-4-4222-444-2-2-22-4-20000-22222-2-2000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000
χ784-444-4-4-44-24-222-4-4-42-2-2444-42-20000-22222-2-20000000000000000000000000000000000000000000000000000023−2300000000000
χ794-444-4-4-44-24-222-4-4-42-2-2444-42-20000-22222-2-200000000000000000000000000000000000000000000000000000−232300000000000
χ804-44-444-4-444-44-44-4-44-44-44-44-440000-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000
χ814-44-444-4-44-2-44-4-2224-442-22-2-4-200002-222-22-2000000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000
χ824-44-444-4-44-2-44-4-2224-442-22-2-4-200002-222-22-20000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000
χ834-44-444-4-4-242-224-4-4-22-2-44-442-200002-222-22-2000000000000000000000000000000000000000000000000000000023−23000000000
χ844-44-444-4-4-242-224-4-4-22-2-44-442-200002-222-22-20000000000000000000000000000000000000000000000000000000−2323000000000
χ854-4-444-44-44-24-4-422-24-4-422-2-24-24-400-222-2-222-2-22204-400000000-2-22200000000000000000000000000000000000000000000000
χ864-4-444-44-44-24-4-422-24-4-422-2-24-2-4400-222-2-22222-2-20-440000000022-2-200000000000000000000000000000000000000000000000
χ874-4-444-44-4-24-222-4-44-222-4-444-2-24-400-222-2-22244-4-40-2200000000-2-22200000000000000000000000000000000000000000000000
χ884-4-444-44-4-24-222-4-44-222-4-444-2-2-4400-222-2-222-4-44402-20000000022-2-200000000000000000000000000000000000000000000000
χ894-4-444-44-4-2-2-22222-2-22222-2-2-214-4001-1-111-1-1-2-2220-220000000011-1-13i−3i−3i3i3i−3i−3i3i000000000000000000000000000000000000000
χ904-4-444-44-4-2-2-22222-2-22222-2-2-214-4001-1-111-1-1-2-2220-220000000011-1-1−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000000000000
χ914-4-444-44-4-2-2-22222-2-22222-2-2-21-44001-1-111-1-122-2-202-200000000-1-1113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000
χ924-4-444-44-4-2-2-22222-2-22222-2-2-21-44001-1-111-1-122-2-202-200000000-1-111−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000
χ934-4-4-4-4444-242-224-442-224-4-4-4-2-2004-42-22-22-220000000-224-400000000-2-2220000000000000000000000000000000000000000000
χ944-4-4-4-4444-242-224-442-224-4-4-4-2-200-442-22-22-2200000002-2-440000000022-2-20000000000000000000000000000000000000000000
χ954-4-4-4-4444-2-22-22-22-22-22-2222-21004-4-11-11-11-123−2323−23000-22-220023−23−33−3311-1-1−3−333000000000000000000000000000000000000000
χ964-4-4-4-4444-2-22-22-22-22-22-2222-21004-4-11-11-11-1−2323−2323000-22-2200−23233−33−311-1-133−3−3000000000000000000000000000000000000000
χ974-4-4-4-4444-2-22-22-22-22-22-2222-2100-44-11-11-11-123−2323−230002-22-200−2323−33−33-1-11133−3−3000000000000000000000000000000000000000
χ984-4-4-4-4444-2-22-22-22-22-22-2222-2100-44-11-11-11-1−2323−23230002-22-20023−233−33−3-1-111−3−333000000000000000000000000000000000000000
χ9988-88-88-8-8-4-4-4-4-4-4-4444444-44420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-88-8-88-4-444-44-44-4-44-444-4420000-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000
χ1018-888-8-8-88-4-4-4444444-4-4-4-4-444200002-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-888-8-8-4-44-44-444-44-44-44-4420000-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000

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