Finite Group Databasebeta

← Group #11810323

Character table — Group #11810323

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444488888888888888888888888888121212121212121212121212121212121818181818181818242424242424242424242424242424247272
order1222222233666666666666663446666666441212121212121212121212121212121212121212121212122222224444444444222244446666661212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111
χ71111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-111-1-111-1-11111-1-1
χ91111111111111111111111111-1-111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1111-1
χ101111111111111111111111111-1-111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-11
χ111111111111111111111111111-1-111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-111-11
χ121111111111111111111111111-1-111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11-1
χ131111111111111111111111111-1-11111111-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-11
χ141111111111111111111111111-1-11111111-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1111-1
χ151111111111111111111111111-1-11111111-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-11-1
χ161111111111111111111111111-1-11111111-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-11
χ17222222222-1222-1-1-12-1-122-1-12-122-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000220022000000000000-1-1-1-1-1-1-1-100000000
χ18222222222-1222-1-1-12-1-122-1-12-122-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-200-2-20000000000001111111100000000
χ19222222222-1222-1-1-12-1-122-1-12-122-1-1-1-1-1-1-1-2-2-2-211-1-11122-2-21111-1-1-1-1111122-2-200002200-2-2000000000000-1-111-1-11100000000
χ20222222222-1222-1-1-12-1-122-1-12-122-1-1-1-1-1-1-1-2-2-2-211-1-11122-2-21111-1-1-1-11111-2-2220000-2-2002200000000000011-1-111-1-100000000
χ21222222222-1222-1-1-12-1-122-1-12-1-2-2-1-1-1-1-1-1-12-222-1-11111-2-2-2-2-1-1-1-11111111122-2-20000-2-20022000000000000-1-11111-1-100000000
χ22222222222-1222-1-1-12-1-122-1-12-1-2-2-1-1-1-1-1-1-12-222-1-11111-2-2-2-2-1-1-1-111111111-2-22200002200-2-200000000000011-1-1-1-11100000000
χ23222222222-1222-1-1-12-1-122-1-12-1-2-2-1-1-1-1-1-1-1-22-2-21111-1-1-2-22211111111-1-1-1-122220000-2-200-2-2000000000000-1-1-1-1111100000000
χ24222222222-1222-1-1-12-1-122-1-12-1-2-2-1-1-1-1-1-1-1-22-2-21111-1-1-2-22211111111-1-1-1-1-2-2-2-200002200220000000000001111-1-1-1-100000000
χ2522222222-12-1-1-1222-122-1-122-1-122-1-1-1-1-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220022002200000000-1-100000000-1-1-1-1-1-100
χ2622222222-12-1-1-1222-122-1-122-1-122-1-1-1-1-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-200-2-200000000110000000011111100
χ2722222222-12-1-1-1222-122-1-122-1-122-1-1-1-1-1-1-1-2-211-2-222-2-2-1-1111111-1-1-1-11111000022-2-2002200-2-200000000-1-100000000-1-1111100
χ2822222222-12-1-1-1222-122-1-122-1-122-1-1-1-1-1-1-1-2-211-2-222-2-2-1-1111111-1-1-1-111110000-2-22200-2-2002200000000110000000011-1-1-1-100
χ2922222222-12-1-1-1222-122-1-122-1-1-2-2-1-1-1-1-1-1-12-2-1-122-2-2-2-21111-1-1-1-111111111000022-2-200-2-2002200000000-1-1000000001111-1-100
χ3022222222-12-1-1-1222-122-1-122-1-1-2-2-1-1-1-1-1-1-12-2-1-122-2-2-2-21111-1-1-1-1111111110000-2-222002200-2-2000000001100000000-1-1-1-11100
χ3122222222-12-1-1-1222-122-1-122-1-1-2-2-1-1-1-1-1-1-1-2211-2-2-2-22211-1-111111111-1-1-1-10000222200-2-200-2-200000000-1-10000000011-1-11100
χ3222222222-12-1-1-1222-122-1-122-1-1-2-2-1-1-1-1-1-1-1-2211-2-2-2-22211-1-111111111-1-1-1-10000-2-2-2-200220022000000001100000000-1-111-1-100
χ3322-222-2-2-2222-2-222-2-2-2-2222-2-2200222-2-2-2-2000000000000000000000000000000000000002i−2i2i−2i22-2-20000000000002i−2i00002i−2i00
χ3422-222-2-2-2222-2-222-2-2-2-2222-2-2200222-2-2-2-2000000000000000000000000000000000000002i−2i−2i2i-2-2220000000000002i−2i0000−2i2i00
χ3522-222-2-2-2222-2-222-2-2-2-2222-2-2200222-2-2-2-200000000000000000000000000000000000000−2i2i2i−2i-2-222000000000000−2i2i00002i−2i00
χ3622-222-2-2-2222-2-222-2-2-2-2222-2-2200222-2-2-2-200000000000000000000000000000000000000−2i2i−2i2i22-2-2000000000000−2i2i0000−2i2i00
χ3722-2-2-222-2222222-22-2-2-2-2-2-22-22002-2-222-2-20000000000000000000000000000002-2002i−2i00000000002i2i−2i−2i2-200002i−2i0000000000
χ3822-2-2-222-2222222-22-2-2-2-2-2-22-22002-2-222-2-20000000000000000000000000000002-200−2i2i0000000000−2i−2i2i2i2-20000−2i2i0000000000
χ3922-2-2-222-2222222-22-2-2-2-2-2-22-22002-2-222-2-2000000000000000000000000000000-22002i−2i0000000000−2i−2i2i2i-2200002i−2i0000000000
χ4022-2-2-222-2222222-22-2-2-2-2-2-22-22002-2-222-2-2000000000000000000000000000000-2200−2i2i00000000002i2i−2i−2i-220000−2i2i0000000000
χ412-222-22-2-222-22-2-22222-22-2-2-2-222i−2i-22-22-22-20000002i−2i002i−2i0000002i2i−2i−2i000000000000000000002-22-22i−2i2i−2i000000000000000000
χ422-222-22-2-222-22-2-22222-22-2-2-2-222i−2i-22-22-22-20000002i−2i002i−2i0000002i2i−2i−2i00000000000000000000-22-22−2i2i−2i2i000000000000000000
χ432-222-22-2-222-22-2-22222-22-2-2-2-22−2i2i-22-22-22-2000000−2i2i00−2i2i000000−2i−2i2i2i000000000000000000002-22-2−2i2i−2i2i000000000000000000
χ442-222-22-2-222-22-2-22222-22-2-2-2-22−2i2i-22-22-22-2000000−2i2i00−2i2i000000−2i−2i2i2i00000000000000000000-22-222i−2i2i−2i000000000000000000
χ452-2-22-2-22222-2-22-22-2-2-222-2-222200-22-2-22-2200000000000000000000000000002-2002-2000000002-2-22000000002-20000002-20000
χ462-2-22-2-22222-2-22-22-2-2-222-2-222200-22-2-22-2200000000000000000000000000002-200-2200000000-222-2000000002-2000000-220000
χ472-2-22-2-22222-2-22-22-2-2-222-2-222200-22-2-22-220000000000000000000000000000-22002-200000000-222-200000000-220000002-20000
χ482-2-22-2-22222-2-22-22-2-2-222-2-222200-22-2-22-220000000000000000000000000000-2200-22000000002-2-2200000000-22000000-220000
χ492-2-2-222-2222-22-2-2-22-2-22-222-22200-2-222-2-22000000000000000000000000002-2000000002-2000000002-2-22002-20000002-2000000
χ502-2-2-222-2222-22-2-2-22-2-22-222-22200-2-222-2-22000000000000000000000000002-200000000-2200000000-222-2002-2000000-22000000
χ512-2-2-222-2222-22-2-2-22-2-22-222-22200-2-222-2-2200000000000000000000000000-22000000002-200000000-222-200-220000002-2000000
χ522-2-2-222-2222-22-2-2-22-2-22-222-22200-2-222-2-2200000000000000000000000000-2200000000-22000000002-2-2200-22000000-22000000
χ5344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144111111144-2-2-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000000000
χ5444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21441111111-4-42222-2-222-2-222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000000000
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-411111114-4-2-2-2-2222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-41111111-44222222-2-222-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000000
χ57444-4-4-4-44444-4-44-4-4444-4-4-4-444004-4-4-4-44400000000000000000000000000000000000000000000000000000000000000000000
χ58444-4-4-4-444-24-4-4-2224-2-2-4-4224-200-22222-2-200000000−2i32i3000000000000−2i3−2i32i32i3000000000000000000000000000000000000000000
χ59444-4-4-4-444-24-4-4-2224-2-2-4-4224-200-22222-2-2000000002i3−2i30000000000002i32i3−2i3−2i3000000000000000000000000000000000000000000
χ60444-4-4-4-44-24-2224-4-4-24422-4-4-2-200-22222-2-200−2i32i30000000000−2i3−2i32i32i300000000000000000000000000000000000000000000000000
χ61444-4-4-4-44-24-2224-4-4-24422-4-4-2-200-22222-2-2002i3−2i300000000002i32i3−2i3−2i300000000000000000000000000000000000000000000000000
χ62444-4-4-4-44-2-2-222-222-2-2-22222-21001-1-1-1-11100−2i32i30000−2i32i30000i3i3−i3−i33-33-3i3i3−i3−i3000000000000000000000000000000000000000000
χ63444-4-4-4-44-2-2-222-222-2-2-22222-21001-1-1-1-11100−2i32i300002i3−2i30000i3i3−i3−i3-33-33−i3−i3i3i3000000000000000000000000000000000000000000
χ64444-4-4-4-44-2-2-222-222-2-2-22222-21001-1-1-1-111002i3−2i30000−2i32i30000−i3−i3i3i3-33-33i3i3−i3−i3000000000000000000000000000000000000000000
χ65444-4-4-4-44-2-2-222-222-2-2-22222-21001-1-1-1-111002i3−2i300002i3−2i30000−i3−i3i3i33-33-3−i3−i3i3i3000000000000000000000000000000000000000000
χ6644-444-4-4-44-24-4-4-2-22-42244-22-4-200-2-2-22222000000000000000000000000000000000000004i−4i000000000000000000−2i2i00000000
χ6744-444-4-4-44-24-4-4-2-22-42244-22-4-200-2-2-2222200000000000000000000000000000000000000−4i4i0000000000000000002i−2i00000000
χ6844-444-4-4-4-24-22244-42-4-4-2-24-42-200-2-2-2222200000000000000000000000000000000000000004i−4i0000000000000000000000−2i2i00
χ6944-444-4-4-4-24-22244-42-4-4-2-24-42-200-2-2-222220000000000000000000000000000000000000000−4i4i00000000000000000000002i−2i00
χ7044-4-4-444-44-2444-22-2-422-4-42-2-4-200-222-2-22200000000000000000000000000000000004i−4i00000000000000000000−2i2i0000000000
χ7144-4-4-444-44-2444-22-2-422-4-42-2-4-200-222-2-2220000000000000000000000000000000000−4i4i000000000000000000002i−2i0000000000
χ7244-4-4-444-4-24-2-2-24-442-4-422-442-200-222-2-2220000000000000000000000000000004-4000000000000000000-220000000000000000
χ7344-4-4-444-4-24-2-2-24-442-4-422-442-200-222-2-222000000000000000000000000000000-440000000000000000002-20000000000000000
χ744-444-44-4-44-2-44-42-2-24-224-422-4-24i−4i2-22-22-22000000−2i2i004i−4i000000−2i−2i2i2i0000000000000000000000000000000000000000000000
χ754-444-44-4-44-2-44-42-2-24-224-422-4-2−4i4i2-22-22-220000002i−2i00−4i4i0000002i2i−2i−2i0000000000000000000000000000000000000000000000
χ764-444-44-4-4-242-22-444-24-4-22-4-42-24i−4i2-22-22-220000004i−4i00−2i2i000000−2i−2i2i2i0000000000000000000000000000000000000000000000
χ774-444-44-4-4-242-22-444-24-4-22-4-42-2−4i4i2-22-22-22000000−4i4i002i−2i0000002i2i−2i−2i0000000000000000000000000000000000000000000000
χ784-444-44-4-4-2-22-222-2-2-2-22-2222214i−4i-11-11-11-1000000−2i2i00−2i2i003-33-3ii−i−i3i−3i3i−3i000000000000000000000000000000000000000000
χ794-444-44-4-4-2-22-222-2-2-2-22-2222214i−4i-11-11-11-1000000−2i2i00−2i2i00-33-33ii−i−i−3i3i−3i3i000000000000000000000000000000000000000000
χ804-444-44-4-4-2-22-222-2-2-2-22-222221−4i4i-11-11-11-10000002i−2i002i−2i003-33-3−i−iii−3i3i−3i3i000000000000000000000000000000000000000000
χ814-444-44-4-4-2-22-222-2-2-2-22-222221−4i4i-11-11-11-10000002i−2i002i−2i00-33-33−i−iii3i−3i3i−3i000000000000000000000000000000000000000000
χ824-44-44-44-444-4-44-4-4-444-4-4444-4400-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000
χ834-44-44-44-44-2-4-442224-22-44-2-2-4-20022-22-2-220000−2i32i300000000−2i32i32i3−2i300000000000000000000000000000000000000000000000000
χ844-44-44-44-44-2-4-442224-22-44-2-2-4-20022-22-2-2200002i3−2i3000000002i3−2i3−2i32i300000000000000000000000000000000000000000000000000
χ854-44-44-44-4-2422-2-4-4-4-24-42-2442-20022-22-2-2200000000000023−230000000023−23−2323000000000000000000000000000000000000000000
χ864-44-44-44-4-2422-2-4-4-4-24-42-2442-20022-22-2-22000000000000−232300000000−232323−23000000000000000000000000000000000000000000
χ874-44-44-44-4-2-222-2222-2-222-2-2-22100-1-11-111-10000−2i32i300000023−23i3−i3−i3i33i−3i−3i3i−333−3000000000000000000000000000000000000000000
χ884-44-44-44-4-2-222-2222-2-222-2-2-22100-1-11-111-10000−2i32i3000000−2323i3−i3−i3i3−3i3i3i−3i3−3−33000000000000000000000000000000000000000000
χ894-44-44-44-4-2-222-2222-2-222-2-2-22100-1-11-111-100002i3−2i300000023−23−i3i3i3−i3−3i3i3i−3i−333−3000000000000000000000000000000000000000000
χ904-44-44-44-4-2-222-2222-2-222-2-2-22100-1-11-111-100002i3−2i3000000−2323−i3i3i3−i33i−3i−3i3i3−3−33000000000000000000000000000000000000000000
χ914-4-44-4-4444-2-4-442-22-42-24-42-24-2002-222-22-200000000000000000000000000004-4000000000000000000000000-22000000000000
χ924-4-44-4-4444-2-4-442-22-42-24-42-24-2002-222-22-20000000000000000000000000000-440000000000000000000000002-2000000000000
χ934-4-44-4-444-2422-2-44-42-44-22-44-2-2002-222-22-2000000000000000000000000000000004-40000000000000000000000000000-220000
χ944-4-44-4-444-2422-2-44-42-44-22-44-2-2002-222-22-200000000000000000000000000000000-4400000000000000000000000000002-20000
χ954-4-4-444-444-2-44-422-2-42-2-44-224-20022-2-222-2000000000000000000000000004-4000000000000000000000000-2200000000000000
χ964-4-4-444-444-2-44-422-2-42-2-44-224-20022-2-222-200000000000000000000000000-440000000000000000000000002-200000000000000
χ974-4-4-444-44-242-22-4-442-442-24-4-2-20022-2-222-20000000000000000000000000000000000004-40000000000000000000000-22000000
χ984-4-4-444-44-242-22-4-442-442-24-4-2-20022-2-222-2000000000000000000000000000000000000-4400000000000000000000002-2000000
χ9988-888-8-8-8-4-4-444-4-44444-4-4-444200222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-888-8-4-4-4-4-4-44-4444444-442002-2-222-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-8-888-4-444-44-4444-4-444-4-4200-22-2-22-2200000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8-888-88-4-44-4444-444-44-4-44-4200-2-222-2-2200000000000000000000000000000000000000000000000000000000000000000000

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