Finite Group Databasebeta

← Group #11921999

Character table — Group #11921999

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222233336666666666888812121212121212121212121212121212121212121212121212121616161616161616161636364848484872727272
order122234466612121212222244666612121212366622444444446666121212121212121212121212366612121212121244121212122444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-111-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
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
χ511111-1-1111-1-1-1-11111-1-11111-1-1-1-11111111-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-111-1-1-111-1
χ611111-1-1111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-11-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11-1-1111-1-11
χ711111-1-1111-1-1-1-11111-1-11111-1-1-1-11111-1-1111-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-111-1-11-1-11
χ811111-1-1111-1-1-1-11111-1-11111-1-1-1-11111-1-1-111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-11-1-111-111-1
χ92222222222222222222222222222-1-1-1-100200200000000000000000000-1-1-1-1-1-1-1-1-1-122-1-1-1-10000
χ102222222222222222222222222222-1-1-1-100-200-200000000000000000000-1-1-1-1-1-1-1-1-1-1-2-211110000
χ1122222-2-2222-2-2-2-22222-2-22222-2-2-2-2-1-1-1-100200-200000000000000000000-1-1-1-11111112-2-1-1110000
χ1222222-2-2222-2-2-2-22222-2-22222-2-2-2-2-1-1-1-100-200200000000000000000000-1-1-1-1111111-2211-1-10000
χ132222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122222202202222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000000000
χ142222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12222-2-20-2-20-2-2-2-21111111111111111-1-1-1-122-1-1-1-10000000000
χ152222-1-2-2-1-1-111112222-2-2-1-1-1-111112222220-2-20-2-222-1-1-1-11111-1-1-1-11111-1-1-1-1-2-211110000000000
χ162222-1-2-2-1-1-111112222-2-2-1-1-1-111112222-2-2022022-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1-2-211110000000000
χ1722-2-222i−2i2-2-22i2i−2i−2i2-2-222i−2i2-22-22i2i−2i−2i2-22-20000000000000000000000000022-2-22i−2i2i2i−2i−2i0000000000
χ1822-2-222i−2i2-2-22i2i−2i−2i2-2-222i−2i2-22-22i2i−2i−2i-11-1100000000000000000000000000-1-111−ii−i−iii00−i3i33−30000
χ1922-2-222i−2i2-2-22i2i−2i−2i2-2-222i−2i2-22-22i2i−2i−2i-11-1100000000000000000000000000-1-111−ii−i−iii00i3−i3−330000
χ2022-2-22−2i2i2-2-2−2i−2i2i2i2-2-22−2i2i2-22-2−2i−2i2i2i2-22-20000000000000000000000000022-2-2−2i2i−2i−2i2i2i0000000000
χ2122-2-22−2i2i2-2-2−2i−2i2i2i2-2-22−2i2i2-22-2−2i−2i2i2i-11-1100000000000000000000000000-1-111i−iii−i−i00−i3i3−330000
χ2222-2-22−2i2i2-2-2−2i−2i2i2i2-2-22−2i2i2-22-2−2i−2i2i2i-11-1100000000000000000000000000-1-111i−iii−i−i00i3−i33−30000
χ2322-2-2-12i−2i-111−i−iii2-2-222i−2i-11-11−i−iii2-22-20000000000−i3−i3i3i333−3−3−i3−i3i3i333−3−3-1-1112i−2i−i−iii0000000000
χ2422-2-2-12i−2i-111−i−iii2-2-222i−2i-11-11−i−iii2-22-20000000000i3i3−i3−i3−3−333i3i3−i3−i3−3−333-1-1112i−2i−i−iii0000000000
χ2522-2-2-1−2i2i-111ii−i−i2-2-22−2i2i-11-11ii−i−i2-22-20000000000−i3−i3i3i3−3−333−i3−i3i3i3−3−333-1-111−2i2iii−i−i0000000000
χ2622-2-2-1−2i2i-111ii−i−i2-2-22−2i2i-11-11ii−i−i2-22-20000000000i3i3−i3−i333−3−3i3i3−i3−i333−3−3-1-111−2i2iii−i−i0000000000
χ272-22-2200-22-20000-2-22200-222-2000022-2-20002i−2i02i−2i0000002i−2i2i−2i00002i−2i2i−2i2-22-20000000000000000
χ282-22-2200-22-20000-2-22200-222-2000022-2-2000−2i2i0−2i2i000000−2i2i−2i2i0000−2i2i−2i2i2-22-20000000000000000
χ292-22-2-1001-113−33−3-2-222001-1-113−33−322-2-20002i−2i02i−2i00−i3i3−i3i3−ii−ii−i3i3−i3i3−ii−ii-11-11003−33−30000000000
χ302-22-2-1001-113−33−3-2-222001-1-113−33−322-2-2000−2i2i0−2i2i00i3−i3i3−i3i−ii−ii3−i3i3−i3i−ii−i-11-11003−33−30000000000
χ312-22-2-1001-11−33−33-2-222001-1-11−33−3322-2-20002i−2i02i−2i00i3−i3i3−i3−ii−iii3−i3i3−i3−ii−ii-11-1100−33−330000000000
χ322-22-2-1001-11−33−33-2-222001-1-11−33−3322-2-2000−2i2i0−2i2i00−i3i3−i3i3i−ii−i−i3i3−i3i3i−ii−i-11-1100−33−330000000000
χ332-2-22200-2-220000-22-2200-2-22200002-2-222-20000002-22-2-2200002-2-2200002-2-220000000000000000
χ342-2-22200-2-220000-22-2200-2-22200002-2-22-22000000-22-222-20000-222-200002-2-220000000000000000
χ352-2-22-10011-1−i3i3i3−i3-22-220011-1-1−i3i3i3−i32-2-222-20000002-2-111-1−i3i3i3−i3-111-1−i3i3i3−i3-111-100−i3i3i3−i30000000000
χ362-2-22-10011-1−i3i3i3−i3-22-220011-1-1−i3i3i3−i32-2-22-22000000-221-1-11i3−i3−i3i31-1-11i3−i3−i3i3-111-100−i3i3i3−i30000000000
χ372-2-22-10011-1i3−i3−i3i3-22-220011-1-1i3−i3−i3i32-2-222-20000002-2-111-1i3−i3−i3i3-111-1i3−i3−i3i3-111-100i3−i3−i3i30000000000
χ382-2-22-10011-1i3−i3−i3i3-22-220011-1-1i3−i3−i3i32-2-22-22000000-221-1-11−i3i3i3−i31-1-11−i3i3i3−i3-111-100i3−i3−i3i30000000000
χ3933333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000113113-1-1-1-111111111-1-1-1-1-1-1-1-10000000000-1-1000011-1-1
χ4033333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1000011-311-3-1-1-1-111111111-1-1-1-1-1-1-1-10000000000110000-1-111
χ4133333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-13-1-131111-1-1-1-1-1-1-1-1111111110000000000-1-10000-1-111
χ4233333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-3-1-1-31111-1-1-1-1-1-1-1-111111111000000000011000011-1-1
χ4333333-3-3333-3-3-3-3-1-1-1-111-1-1-1-111110000113-1-1-311-1-11111-1-1-1-1-1-1-1-111110000000000-110000-11-11
χ4433333-3-3333-3-3-3-3-1-1-1-111-1-1-1-11111000011-3-1-1311-1-11111-1-1-1-1-1-1-1-1111100000000001-100001-11-1
χ4533333-3-3333-3-3-3-3-1-1-1-111-1-1-1-111110000-1-1311-3-1-111-1-1-1-111111111-1-1-1-10000000000-1100001-11-1
χ4633333-3-3333-3-3-3-3-1-1-1-111-1-1-1-111110000-1-1-3113-1-111-1-1-1-111111111-1-1-1-100000000001-10000-11-11
χ474444-244-2-2-2-2-2-2-2444444-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000001111-2-211110000000000
χ484444-2-4-4-2-2-222224444-4-4-2-2-2-22222-2-2-2-200000000000000000000000000111122-1-1-1-10000000000
χ4944-4-4-24i−4i-222−2i−2i2i2i4-4-444i−4i-22-22−2i−2i2i2i-22-220000000000000000000000000011-1-1−2i2iii−i−i0000000000
χ5044-4-4-2−4i4i-2222i2i−2i−2i4-4-44−4i4i-22-222i2i−2i−2i-22-220000000000000000000000000011-1-12i−2i−i−iii0000000000
χ514-44-4400-44-40000-4-44400-444-40000-2-22200000000000000000000000000-22-220000000000000000
χ524-44-4-2002-2223−2323−23-4-444002-2-2223−2323−23-2-222000000000000000000000000001-11-100−33−330000000000
χ534-44-4-2002-22−2323−2323-4-444002-2-22−2323−2323-2-222000000000000000000000000001-11-1003−33−30000000000
χ544-4-44400-4-440000-44-4400-4-4440000-222-200000000000000000000000000-222-20000000000000000
χ554-4-44-20022-2−2i32i32i3−2i3-44-440022-2-2−2i32i32i3−2i3-222-2000000000000000000000000001-1-1100i3−i3−i3i30000000000
χ564-4-44-20022-22i3−2i3−2i32i3-44-440022-2-22i3−2i3−2i32i3-222-2000000000000000000000000001-1-1100−i3i3i3−i30000000000
χ576666-366-3-3-3-3-3-3-3-2-2-2-2-2-2111111110000220220-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ586666-366-3-3-3-3-3-3-3-2-2-2-2-2-2111111110000-2-20-2-20222211111111-1-1-1-1-1-1-1-100000000000000000000
χ596666-3-6-6-3-3-33333-2-2-2-2221111-1-1-1-10000220-2-2022-2-2-1-1-1-111111111-1-1-1-100000000000000000000
χ606666-3-6-6-3-3-33333-2-2-2-2221111-1-1-1-10000-2-20220-2-2221111-1-1-1-1-1-1-1-1111100000000000000000000
χ6166-6-666i−6i6-6-66i6i−6i−6i-222-2−2i2i-22-22−2i−2i2i2i00000000000000000000000000000000000000000000000000
χ6266-6-66−6i6i6-6-6−6i−6i6i6i-222-22i−2i-22-222i2i−2i−2i00000000000000000000000000000000000000000000000000
χ6366-6-6-36i−6i-333−3i−3i3i3i-222-2−2i2i1-11-1ii−i−i00000000000000−i3−i3i3i333−3−3i3i3−i3−i3−3−33300000000000000000000
χ6466-6-6-36i−6i-333−3i−3i3i3i-222-2−2i2i1-11-1ii−i−i00000000000000i3i3−i3−i3−3−333−i3−i3i3i333−3−300000000000000000000
χ6566-6-6-3−6i6i-3333i3i−3i−3i-222-22i−2i1-11-1−i−iii00000000000000−i3−i3i3i3−3−333i3i3−i3−i333−3−300000000000000000000
χ6666-6-6-3−6i6i-3333i3i−3i−3i-222-22i−2i1-11-1−i−iii00000000000000i3i3−i3−i333−3−3−i3−i3i3i3−3−33300000000000000000000
χ676-66-6600-66-6000022-2-2002-2-22000000000002i−2i0−2i2i0000002i−2i2i−2i0000−2i2i−2i2i00000000000000000000
χ686-66-6600-66-6000022-2-2002-2-2200000000000−2i2i02i−2i000000−2i2i−2i2i00002i−2i2i−2i00000000000000000000
χ696-66-6-3003-3333−3333−3322-2-200-111-1−33−3300000002i−2i0−2i2i00−i3i3−i3i3−ii−iii3−i3i3−i3i−ii−i00000000000000000000
χ706-66-6-3003-3333−3333−3322-2-200-111-1−33−330000000−2i2i02i−2i00i3−i3i3−i3i−ii−i−i3i3−i3i3−ii−ii00000000000000000000
χ716-66-6-3003-33−3333−333322-2-200-111-13−33−300000002i−2i0−2i2i00i3−i3i3−i3−ii−ii−i3i3−i3i3i−ii−i00000000000000000000
χ726-66-6-3003-33−3333−333322-2-200-111-13−33−30000000−2i2i02i−2i00−i3i3−i3i3i−ii−ii3−i3i3−i3−ii−ii00000000000000000000
χ736-6-66600-6-6600002-22-20022-2-2000000002-2000000-222-2-220000-222-2000000000000000000000000
χ746-6-66600-6-6600002-22-20022-2-200000000-220000002-2-222-200002-2-22000000000000000000000000
χ756-6-66-30033-3−3i33i33i3−3i32-22-200-1-111i3−i3−i3i300002-2000000-22-111-1−i3i3i3−i31-1-11i3−i3−i3i300000000000000000000
χ766-6-66-30033-3−3i33i33i3−3i32-22-200-1-111i3−i3−i3i30000-220000002-21-1-11i3−i3−i3i3-111-1−i3i3i3−i300000000000000000000
χ776-6-66-30033-33i3−3i3−3i33i32-22-200-1-111−i3i3i3−i300002-2000000-22-111-1i3−i3−i3i31-1-11−i3i3i3−i300000000000000000000
χ786-6-66-30033-33i3−3i3−3i33i32-22-200-1-111−i3i3i3−i30000-220000002-21-1-11−i3i3i3−i3-111-1i3−i3−i3i300000000000000000000

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