Finite Group Databasebeta

← Group #11922547

Character table — Group #11922547

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222233336666666666888812121212121212121212121212121212121212121212121212121616161616161616161636364848484872727272
order1222223666666622222266666666366622222444446666666612121212121212123666666666246612124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111
χ51111-1-11111-1-1-1-11111-1-1111-1-1-1-11111111-1-11-111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-11-111-1-11-11-1
χ61111-1-11111-1-1-1-11111-1-1111-1-1-1-11111111-1-1-1111-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1-11-1-111-11-11
χ71111-1-11111-1-1-1-11111-1-1111-1-1-1-111111-1-1111-1-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-11-111-1-1-11-11
χ81111-1-11111-1-1-1-11111-1-1111-1-1-1-111111-1-111-11-1-111-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-1-11-1-1111-11-1
χ92222222222222222222222222222-1-1-1-100002200000000000000000000-1-1-1-1-1-1-1-1-1-122-1-1-1-10000
χ102222222222222222222222222222-1-1-1-10000-2-200000000000000000000-1-1-1-1-1-1-1-1-1-1-2-211110000
χ11222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122222222002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-10000000000
χ12222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12222-2-2-2-200-2-2-2-21111111111111111-122-1-1-1-1-1-1-10000000000
χ132222-2-22222-2-2-2-22222-2-2222-2-2-2-22-1-1-1-100002-200000000000000000000-111-1-1-111112-2-1-1110000
χ142222-2-22222-2-2-2-22222-2-2222-2-2-2-22-1-1-1-10000-2200000000000000000000-111-1-1-11111-2211-1-10000
χ152222-2-2-1-1-1-111112222-2-2-1-1-11111-1222222-2-20022-2-2-1-1-1-11111-1-1-1-11111-1-2-2-1-1-111110000000000
χ162222-2-2-1-1-1-111112222-2-2-1-1-11111-12222-2-22200-2-2221111-1-1-1-11111-1-1-1-1-1-2-2-1-1-111110000000000
χ1722-2-22-222-2-222-2-222-2-22-22-2-222-2-222-2-220000000000000000000000000022-22-2-222-2-20000000000
χ1822-2-22-222-2-222-2-222-2-22-22-2-222-2-22-111-100000000000000000000000000-1-11-111-1-11100i3−i3i3−i30000
χ1922-2-22-222-2-222-2-222-2-22-22-2-222-2-22-111-100000000000000000000000000-1-11-111-1-11100−i3i3−i3i30000
χ2022-2-22-2-1-111-1-11122-2-22-2-111-1-111-12-2-220000000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-12-2-111-1-1110000000000
χ2122-2-22-2-1-111-1-11122-2-22-2-111-1-111-12-2-220000000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-12-2-111-1-1110000000000
χ2222-2-2-2222-2-2-2-22222-2-2-222-2-2-2-22222-2-22000000000000000000000000002-222-2-2-2-2220000000000
χ2322-2-2-2222-2-2-2-22222-2-2-222-2-2-2-2222-111-100000000000000000000000000-11-1-11111-1-100i3−i3−i3i30000
χ2422-2-2-2222-2-2-2-22222-2-2-222-2-2-2-2222-111-100000000000000000000000000-11-1-11111-1-100−i3i3i3−i30000
χ2522-2-2-22-1-11111-1-122-2-2-22-11111-1-1-12-2-220000000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3-1-22-11111-1-10000000000
χ2622-2-2-22-1-11111-1-122-2-2-22-11111-1-1-12-2-220000000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3-1-22-11111-1-10000000000
χ272-22-2002-22-20000-222-200-22-20000222-2-2002-200002-200002-22-200002-22-2200-22-200000000000000
χ282-22-2002-22-20000-222-200-22-20000222-2-200-220000-220000-22-220000-22-22200-22-200000000000000
χ292-22-200-11-11i3−i3i3−i3-222-2001-11i3−i3i3−i3-122-2-2002-200002-2i3−i3i3−i3-11-11i3−i3i3−i3-11-11-1001-11i3−i3i3−i30000000000
χ302-22-200-11-11i3−i3i3−i3-222-2001-11i3−i3i3−i3-122-2-200-220000-22−i3i3−i3i31-11-1−i3i3−i3i31-11-1-1001-11i3−i3i3−i30000000000
χ312-22-200-11-11−i3i3−i3i3-222-2001-11−i3i3−i3i3-122-2-2002-200002-2−i3i3−i3i3-11-11−i3i3−i3i3-11-11-1001-11−i3i3−i3i30000000000
χ322-22-200-11-11−i3i3−i3i3-222-2001-11−i3i3−i3i3-122-2-200-220000-22i3−i3i3−i31-11-1i3−i3i3−i31-11-1-1001-11−i3i3−i3i30000000000
χ332-2-22002-2-220000-22-2200-2-22000022-22-22-200002-2002-2-2200002-2-220000200-2-2200000000000000
χ342-2-22002-2-220000-22-2200-2-22000022-22-2-220000-2200-222-20000-222-20000200-2-2200000000000000
χ352-2-2200-111-1i3−i3−i3i3-22-220011-1i3−i3−i3i3-12-22-22-200002-200-111-1i3−i3−i3i3-111-1i3−i3−i3i3-10011-1i3−i3−i3i30000000000
χ362-2-2200-111-1i3−i3−i3i3-22-220011-1i3−i3−i3i3-12-22-2-220000-22001-1-11−i3i3i3−i31-1-11−i3i3i3−i3-10011-1i3−i3−i3i30000000000
χ372-2-2200-111-1−i3i3i3−i3-22-220011-1−i3i3i3−i3-12-22-22-200002-200-111-1−i3i3i3−i3-111-1−i3i3i3−i3-10011-1−i3i3i3−i30000000000
χ382-2-2200-111-1−i3i3i3−i3-22-220011-1−i3i3i3−i3-12-22-2-220000-22001-1-11i3−i3−i3i31-1-11i3−i3−i3i3-10011-1−i3i3i3−i30000000000
χ3933333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000111133-1-1-1-111111111-1-1-1-1-1-1-1-10000000000-1-1000011-1-1
χ4033333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-100001111-3-3-1-1-1-111111111-1-1-1-1-1-1-1-10000000000110000-1-111
χ4133333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1331111-1-1-1-1-1-1-1-1111111110000000000-1-10000-1-111
χ4233333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-3-31111-1-1-1-1-1-1-1-111111111000000000011000011-1-1
χ433333-3-33333-3-3-3-3-1-1-1-111-1-1-11111-1000011-1-13-3-1-1111111-1-1-1-1-1-1-1-111110000000000-1100001-1-11
χ443333-3-33333-3-3-3-3-1-1-1-111-1-1-11111-1000011-1-1-33-1-1111111-1-1-1-1-1-1-1-1111100000000001-10000-111-1
χ453333-3-33333-3-3-3-3-1-1-1-111-1-1-11111-10000-1-1113-311-1-1-1-1-1-111111111-1-1-1-10000000000-110000-111-1
χ463333-3-33333-3-3-3-3-1-1-1-111-1-1-11111-10000-1-111-3311-1-1-1-1-1-111111111-1-1-1-100000000001-100001-1-11
χ47444444-2-2-2-2-2-2-2-2444444-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000001-2-211111110000000000
χ484444-4-4-2-2-2-222224444-4-4-2-2-22222-2-2-2-2-200000000000000000000000000122111-1-1-1-10000000000
χ4944-4-44-4-2-222-2-22244-4-44-4-222-2-222-2-222-2000000000000000000000000001-221-1-111-1-10000000000
χ5044-4-4-44-2-22222-2-244-4-4-44-22222-2-2-2-222-20000000000000000000000000012-21-1-1-1-1110000000000
χ514-44-4004-44-40000-444-400-44-400004-2-22200000000000000000000000000-2002-2200000000000000
χ524-44-400-22-222i3−2i32i3−2i3-444-4002-222i3−2i32i3−2i3-2-2-22200000000000000000000000000100-11-1−i3i3−i3i30000000000
χ534-44-400-22-22−2i32i3−2i32i3-444-4002-22−2i32i3−2i32i3-2-2-22200000000000000000000000000100-11-1i3−i3i3−i30000000000
χ544-4-44004-4-440000-44-4400-4-4400004-22-2200000000000000000000000000-20022-200000000000000
χ554-4-4400-222-22i3−2i3−2i32i3-44-440022-22i3−2i3−2i32i3-2-22-2200000000000000000000000000100-1-11−i3i3i3−i30000000000
χ564-4-4400-222-2−2i32i32i3−2i3-44-440022-2−2i32i32i3−2i3-2-22-2200000000000000000000000000100-1-11i3−i3−i3i30000000000
χ57666666-3-3-3-3-3-3-3-3-2-2-2-2-2-2111111110000222200-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ58666666-3-3-3-3-3-3-3-3-2-2-2-2-2-2111111110000-2-2-2-200222211111111-1-1-1-1-1-1-1-100000000000000000000
χ596666-6-6-3-3-3-33333-2-2-2-222111-1-1-1-11000022-2-200-2-222-1-1-1-111111111-1-1-1-100000000000000000000
χ606666-6-6-3-3-3-33333-2-2-2-222111-1-1-1-110000-2-2220022-2-21111-1-1-1-1-1-1-1-1111100000000000000000000
χ6166-6-66-666-6-666-6-6-2-222-22-222-2-222-200000000000000000000000000000000000000000000000000
χ6266-6-66-6-3-333-3-333-2-222-221-1-111-1-1100000000000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ6366-6-66-6-3-333-3-333-2-222-221-1-111-1-1100000000000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ6466-6-6-6666-6-6-6-666-2-2222-2-22222-2-2-200000000000000000000000000000000000000000000000000
χ6566-6-6-66-3-33333-3-3-2-2222-21-1-1-1-111100000000000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ6666-6-6-66-3-33333-3-3-2-2222-21-1-1-1-111100000000000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ676-66-6006-66-600002-2-22002-220000-20000002-20000-2200002-22-20000-22-2200000000000000000000
χ686-66-6006-66-600002-2-22002-220000-2000000-2200002-20000-22-2200002-22-200000000000000000000
χ696-66-600-33-333i3−3i33i3−3i32-2-2200-11-1−i3i3−i3i310000002-20000-22i3−i3i3−i3-11-11−i3i3−i3i31-11-100000000000000000000
χ706-66-600-33-333i3−3i33i3−3i32-2-2200-11-1−i3i3−i3i31000000-2200002-2−i3i3−i3i31-11-1i3−i3i3−i3-11-1100000000000000000000
χ716-66-600-33-33−3i33i3−3i33i32-2-2200-11-1i3−i3i3−i310000002-20000-22−i3i3−i3i3-11-11i3−i3i3−i31-11-100000000000000000000
χ726-66-600-33-33−3i33i3−3i33i32-2-2200-11-1i3−i3i3−i31000000-2200002-2i3−i3i3−i31-11-1−i3i3−i3i3-11-1100000000000000000000
χ736-6-66006-6-6600002-22-20022-20000-200002-20000-22002-2-220000-222-2000000000000000000000000
χ746-6-66006-6-6600002-22-20022-20000-20000-2200002-200-222-200002-2-22000000000000000000000000
χ756-6-6600-333-33i3−3i3−3i33i32-22-200-1-11−i3i3i3−i3100002-20000-2200-111-1i3−i3−i3i31-1-11−i3i3i3−i300000000000000000000
χ766-6-6600-333-33i3−3i3−3i33i32-22-200-1-11−i3i3i3−i310000-2200002-2001-1-11−i3i3i3−i3-111-1i3−i3−i3i300000000000000000000
χ776-6-6600-333-3−3i33i33i3−3i32-22-200-1-11i3−i3−i3i3100002-20000-2200-111-1−i3i3i3−i31-1-11i3−i3−i3i300000000000000000000
χ786-6-6600-333-3−3i33i33i3−3i32-22-200-1-11i3−i3−i3i310000-2200002-2001-1-11i3−i3−i3i3-111-1−i3i3i3−i300000000000000000000

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