Finite Group Databasebeta

← Group #11836004

Character table — Group #11836004

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111111122222222222222224444444444444488888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order122222223366666666666666344666666612121212441212121212121212121212121212121212121212121222222222444466661212121244666666121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-11-1
χ611111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-111111111-1-1-1-111-11
χ711111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1111-1-1-1-1-1-1-1-111-1-111-11
χ811111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111-1-1-1-1-1-1-11111-1-111-1-11-1
χ91111111111111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-11
χ101111111111111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1111-1
χ111111111111111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1111-1
χ121111111111111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-1-11
χ131111111111111111111111111-1-11111111-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111111-11111-1-1-1-111-1-11111-1-1
χ141111111111111111111111111-1-11111111-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-11-1-111-1-111-1-111-1-1-1-111
χ151111111111111111111111111-1-11111111-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-1-1-1-1-111
χ161111111111111111111111111-1-11111111-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-1-1111111-1-1
χ17222222222-1222-1-1-1-1-12-122-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222002200-1-1-1-1-1-1-1-10000-1-1-1-1000000000000
χ18222222222-1222-1-1-1-1-12-122-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200-2-2001111111100001111000000000000
χ19222222222-1222-1-1-1-1-12-122-12-122-1-1-1-1-1-1-1-1-1-1-1-2-2221111-2-2-2-2-1-1-1-1111111112222-2-200-2-200111111110000-1-1-1-1000000000000
χ20222222222-1222-1-1-1-1-12-122-12-122-1-1-1-1-1-1-1-1-1-1-1-2-2221111-2-2-2-2-1-1-1-111111111-2-2-2-222002200-1-1-1-1-1-1-1-100001111000000000000
χ21222222222-1222-1-1-1-1-12-122-12-1-2-2-1-1-1-1-1-1-111112-2-2-2-1-11122-2-21111-1-1-1-1111122-2-22200-2-200-1-1-1-111110000-1-111000000000000
χ22222222222-1222-1-1-1-1-12-122-12-1-2-2-1-1-1-1-1-1-111112-2-2-2-1-11122-2-21111-1-1-1-11111-2-222-2-20022001111-1-1-1-1000011-1-1000000000000
χ23222222222-1222-1-1-1-1-12-122-12-1-2-2-1-1-1-1-1-1-11111-22-2-211-1-1-2-22211111111-1-1-1-122-2-2-2-20022001111-1-1-1-10000-1-111000000000000
χ24222222222-1222-1-1-1-1-12-122-12-1-2-2-1-1-1-1-1-1-11111-22-2-211-1-1-2-22211111111-1-1-1-1-2-2222200-2-200-1-1-1-11111000011-1-1000000000000
χ2522222222-12-1-1-122222-12-1-12-1-122-1-1-1-1-1-1-1222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000002200220000000022-1-10000-1-1-1-1-1-1000000
χ2622222222-12-1-1-122222-12-1-12-1-122-1-1-1-1-1-1-1222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-200-2-200000000-2-2110000111111000000
χ2722222222-12-1-1-122222-12-1-12-1-122-1-1-1-1-1-1-12222-2-2-1-1-2-2-2-21111-1-1-1-1111111110000002200-2-200000000-22-1-100001111-1-1000000
χ2822222222-12-1-1-122222-12-1-12-1-122-1-1-1-1-1-1-12222-2-2-1-1-2-2-2-21111-1-1-1-111111111000000-2-20022000000002-2110000-1-1-1-111000000
χ2922222222-12-1-1-122222-12-1-12-1-1-2-2-1-1-1-1-1-1-1-2-2-2-22-21122-2-2-1-1111111-1-1-1-1111100000022002200000000-2-2-1-10000-1-11111000000
χ3022222222-12-1-1-122222-12-1-12-1-1-2-2-1-1-1-1-1-1-1-2-2-2-22-21122-2-2-1-1111111-1-1-1-11111000000-2-200-2-2000000002211000011-1-1-1-1000000
χ3122222222-12-1-1-122222-12-1-12-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2-2211-2-22211-1-111111111-1-1-1-10000002200-2-2000000002-2-1-1000011-1-111000000
χ3222222222-12-1-1-122222-12-1-12-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2-2211-2-22211-1-111111111-1-1-1-1000000-2-2002200000000-22110000-1-111-1-1000000
χ3322-2-2-222-222222222-2-2-2-2-2-2-2-2200222-2-2-2-200000000000000000000000000000000002-22i−2i0000002i2i−2i−2i002-20000000000002i−2i00
χ3422-2-2-222-222222222-2-2-2-2-2-2-2-2200222-2-2-2-200000000000000000000000000000000002-2−2i2i000000−2i−2i2i2i002-2000000000000−2i2i00
χ3522-2-2-222-222222222-2-2-2-2-2-2-2-2200222-2-2-2-20000000000000000000000000000000000-222i−2i0000002i2i−2i−2i00-22000000000000−2i2i00
χ3622-2-2-222-222222222-2-2-2-2-2-2-2-2200222-2-2-2-20000000000000000000000000000000000-22−2i2i000000−2i−2i2i2i00-220000000000002i−2i00
χ372-2-2222-2-2222-2-22-2-2-2-222-2-22222-22-2-2-2-22222-2-2002-20000000022-2-2000000002-22-2000000000000000000002-22-2000000000000
χ382-2-2222-2-2222-2-22-2-2-2-222-2-22222-22-2-2-2-22222-2-2002-20000000022-2-200000000-22-2200000000000000000000-22-22000000000000
χ392-2-2222-2-2222-2-22-2-2-2-222-2-2222-222-2-2-2-222-2-22200-2200000000-2-222000000002-2-22000000000000000000002-2-22000000000000
χ402-2-2222-2-2222-2-22-2-2-2-222-2-2222-222-2-2-2-222-2-22200-2200000000-2-22200000000-222-200000000000000000000-222-2000000000000
χ412-2-2222-2-22-12-2-2-111112-1-2-2-12-12-2-11111-1-1-1-111002-2−i3i3−i3i30000-1-111−i3−i3i3i3−i3−i3i3i32-22-200000000−i3−i3i3i3−i3i3−i3i30000-11-11000000000000
χ422-2-2222-2-22-12-2-2-111112-1-2-2-12-12-2-11111-1-1-1-111002-2−i3i3−i3i30000-1-111−i3−i3i3i3−i3−i3i3i3-22-2200000000i3i3−i3−i3i3−i3i3−i300001-11-1000000000000
χ432-2-2222-2-22-12-2-2-111112-1-2-2-12-12-2-11111-1-1-1-111002-2i3−i3i3−i30000-1-111i3i3−i3−i3i3i3−i3−i32-22-200000000i3i3−i3−i3i3−i3i3−i30000-11-11000000000000
χ442-2-2222-2-22-12-2-2-111112-1-2-2-12-12-2-11111-1-1-1-111002-2i3−i3i3−i30000-1-111i3i3−i3−i3i3i3−i3−i3-22-2200000000−i3−i3i3i3−i3i3−i3i300001-11-1000000000000
χ452-2-2222-2-22-12-2-2-111112-1-2-2-12-1-22-11111-1-111-1-100-22−i3i3i3−i3000011-1-1−i3−i3i3i3i3i3−i3−i32-2-2200000000−i3−i3i3i3i3−i3i3−i30000-111-1000000000000
χ462-2-2222-2-22-12-2-2-111112-1-2-2-12-1-22-11111-1-111-1-100-22−i3i3i3−i3000011-1-1−i3−i3i3i3i3i3−i3−i3-222-200000000i3i3−i3−i3−i3i3−i3i300001-1-11000000000000
χ472-2-2222-2-22-12-2-2-111112-1-2-2-12-1-22-11111-1-111-1-100-22i3−i3−i3i3000011-1-1i3i3−i3−i3−i3−i3i3i32-2-2200000000i3i3−i3−i3−i3i3−i3i30000-111-1000000000000
χ482-2-2222-2-22-12-2-2-111112-1-2-2-12-1-22-11111-1-111-1-100-22i3−i3−i3i3000011-1-1i3i3−i3−i3−i3−i3i3i3-222-200000000−i3−i3i3i3i3−i3i3−i300001-1-11000000000000
χ492-2-2-22-22222-22-2-22-22-2-222-2-22200-22-22-2-22000000000000000000000000000000002-200002-22-22-20000000000002-200002-20000
χ502-2-2-22-22222-22-2-22-22-2-222-2-22200-22-22-2-22000000000000000000000000000000002-20000-222-22-2000000000000-220000-220000
χ512-2-2-22-22222-22-2-22-22-2-222-2-22200-22-22-2-2200000000000000000000000000000000-2200002-2-22-220000000000002-20000-220000
χ522-2-2-22-22222-22-2-22-22-2-222-2-22200-22-22-2-2200000000000000000000000000000000-220000-22-22-22000000000000-2200002-20000
χ5344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21441111111-2-2-2-244-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000000
χ5444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21441111111-2-2-2-2-4-4-2-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4111111122224-422-2-222-2-222-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-411111112222-442222-2-222-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000
χ57444-44-4-4-444-4-44-4-44-44-44-44-44400-4-44-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ58444-44-4-4-44-2-4-4422-22-2-4-2-4424-20022-22-22-20000000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000
χ59444-44-4-4-44-2-4-4422-22-2-4-2-4424-20022-22-22-200000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000
χ60444-44-4-4-4-2422-2-4-44-44242-2-4-2-20022-22-22-20000000000000000000000000000000000000000000000000000000000−2i32i300000000
χ61444-44-4-4-4-2422-2-4-44-44242-2-4-2-20022-22-22-200000000000000000000000000000000000000000000000000000000002i3−2i300000000
χ6244-44-4-4-4444-4-44-4-444-44-44-44-4400-4-444-44-400000000000000000000000000000000000000000000000000000000000000000000
χ6344-44-4-4-444-2-4-4422-2-22424-4-2-4-20022-2-22-22−2i32i3−2i32i3000000000000−2i32i3−2i32i3000000000000000000000000000000000000000000000000
χ6444-44-4-4-444-2-4-4422-2-22424-4-2-4-20022-2-22-222i3−2i32i3−2i30000000000002i3−2i32i3−2i3000000000000000000000000000000000000000000000000
χ6544-44-4-4-44-2422-2-4-444-4-2-4-2242-20022-2-22-220000000000000023−230000000023−2323−230000000000000000000000000000000000000000
χ6644-44-4-4-44-2422-2-4-444-4-2-4-2242-20022-2-22-2200000000000000−232300000000−2323−23230000000000000000000000000000000000000000
χ6744-44-4-4-44-2-222-222-2-22-22-22-22100-1-111-11-1−2i32i3−2i32i3000000000023−23i3−i3i3−i33i−3i3i−3i−33−330000000000000000000000000000000000000000
χ6844-44-4-4-44-2-222-222-2-22-22-22-22100-1-111-11-1−2i32i3−2i32i30000000000−2323i3−i3i3−i3−3i3i−3i3i3−33−30000000000000000000000000000000000000000
χ6944-44-4-4-44-2-222-222-2-22-22-22-22100-1-111-11-12i3−2i32i3−2i3000000000023−23−i3i3−i3i3−3i3i−3i3i−33−330000000000000000000000000000000000000000
χ7044-44-4-4-44-2-222-222-2-22-22-22-22100-1-111-11-12i3−2i32i3−2i30000000000−2323−i3i3−i3i33i−3i3i−3i3−33−30000000000000000000000000000000000000000
χ7144-4-4-444-44-2444-2-2-222-42-4-42-4-200-2-2-222220000000000000000000000000000000000004i−4i000000−2i−2i2i2i00000000000000000000
χ7244-4-4-444-44-2444-2-2-222-42-4-42-4-200-2-2-22222000000000000000000000000000000000000−4i4i0000002i2i−2i−2i00000000000000000000
χ7344-4-4-444-4-24-2-2-2444-4-42-422-42-200-2-2-2222200000000000000000000000000000000004-400000000000000-220000000000000000
χ7444-4-4-444-4-24-2-2-2444-4-42-422-42-200-2-2-222220000000000000000000000000000000000-44000000000000002-20000000000000000
χ754-444-4-44-444-44-4-44-4-444-4-444-4400-44-4-444-400000000000000000000000000000000000000000000000000000000000000000000
χ764-444-4-44-44-2-44-42-222-242-44-2-4-2002-222-2-22−2i32i32i3−2i3000000000000−2i32i32i3−2i3000000000000000000000000000000000000000000000000
χ774-444-4-44-44-2-44-42-222-242-44-2-4-2002-222-2-222i3−2i3−2i32i30000000000002i3−2i3−2i32i3000000000000000000000000000000000000000000000000
χ784-444-4-44-4-242-22-44-4-44-2-42-242-2002-222-2-2200000000000023−2300000023−23−232300000000000000000000000000000000000000000000
χ794-444-4-44-4-242-22-44-4-44-2-42-242-2002-222-2-22000000000000−2323000000−232323−2300000000000000000000000000000000000000000000
χ804-444-4-44-4-2-22-222-222-2-222-2-22100-11-1-111-1−2i32i32i3−2i30000000023−2300i3−i3−i3i3−333−33i−3i−3i3i0000000000000000000000000000000000000000
χ814-444-4-44-4-2-22-222-222-2-222-2-22100-11-1-111-1−2i32i32i3−2i300000000−232300i3−i3−i3i33−3−33−3i3i3i−3i0000000000000000000000000000000000000000
χ824-444-4-44-4-2-22-222-222-2-222-2-22100-11-1-111-12i3−2i3−2i32i30000000023−2300−i3i3i3−i3−333−3−3i3i3i−3i0000000000000000000000000000000000000000
χ834-444-4-44-4-2-22-222-222-2-222-2-22100-11-1-111-12i3−2i3−2i32i300000000−232300−i3i3i3−i33−3−333i−3i−3i3i0000000000000000000000000000000000000000
χ844-44-4-44-44444-4-44-4-444-4-444-4-44004-4-444-4-400000000000000000000000000000000000000000000000000000000000000000000
χ854-44-4-44-444-24-4-4-222-2-2-42442-4-200-222-2-2220000000000000000000000000000000000000000000023−23−232300000000000000000000
χ864-44-4-44-444-24-4-4-222-2-2-42442-4-200-222-2-22200000000000000000000000000000000000000000000−232323−2300000000000000000000
χ874-44-4-44-44-24-2224-4-4442-4-2-2-42-200-222-2-22200000000000000000000000000000000000000000000000000000000000023−23000000
χ884-44-4-44-44-24-2224-4-4442-4-2-2-42-200-222-2-222000000000000000000000000000000000000000000000000000000000000−2323000000
χ894-4-4444-4-4-24-2224-4-4-4-4-24224-2-24-4-22222-2-244-4-400-2200000000-2-222000000000000000000000000000000000000000000000000
χ904-4-4444-4-4-24-2224-4-4-4-4-24224-2-2-44-22222-2-2-4-444002-20000000022-2-2000000000000000000000000000000000000000000000000
χ914-4-4444-4-4-2-2-222-22222-2-222-2-214-41-1-1-1-111-2-22200-22−2i32i3−2i32i3000011-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000000000
χ924-4-4444-4-4-2-2-222-22222-2-222-2-214-41-1-1-1-111-2-22200-222i3−2i32i3−2i3000011-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000000000
χ934-4-4444-4-4-2-2-222-22222-2-222-2-21-441-1-1-1-11122-2-2002-2−2i32i32i3−2i30000-1-111i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000000000
χ944-4-4444-4-4-2-2-222-22222-2-222-2-21-441-1-1-1-11122-2-2002-22i3−2i3−2i32i30000-1-111−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000000000
χ954-4-4-44-4444-2-44-42-22-22-4-24-424-2002-22-222-2000000000000000000000000000000004-4000000-22-22000000000000000000000000
χ964-4-4-44-4444-2-44-42-22-22-4-24-424-2002-22-222-200000000000000000000000000000000-440000002-22-2000000000000000000000000
χ974-4-4-44-444-242-22-44-44-424-22-4-2-2002-22-222-2000000000000000000000000000000000000004-40000000000000000-220000000000
χ984-4-4-44-444-242-22-44-44-424-22-4-2-2002-22-222-200000000000000000000000000000000000000-4400000000000000002-20000000000
χ99888-88-8-8-8-4-444-444-44-44-44-44-4200-2-22-22-2200000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-888-8-4-4-4-4-4-4-4-444444444200222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-88-88-4-4-444-444-4-444-4-4442002-2-222-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8-88-888-4-44-444-44-444-4-444-4200-22-22-2-2200000000000000000000000000000000000000000000000000000000000000000000

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