Finite Group Databasebeta

← Group #11921654

Character table — Group #11921654

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11112222223333446666888888881212121212121216161616161616161818242424242424242424242424242424363636363648487272
order12223446664444121244443666121212124888812123666121212122224121212121212121212242424244888861224
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1111111111111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-111-1-11111111111111111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1
χ41111111111-1-1-1-111-1-111111111111-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111-1-11111111-1-1-1-1111111-1-1-1-1-111-1-1111111-1-1-1-1111-1-11111-1-1-1-111-1-1-111-1-11-1-11
χ611111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-111111111-1-1-1-111-11-11111-1-1-1-1-1-111-1-1-111-111-1
χ711111-1-1111-1-1-1-1-1-111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1111111-1-11-1-1111-11-1
χ811111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1-11111-1-111111-1-1-11-11
χ922222222222222222222-1-1-1-1-1-1-1-12000022-1-1-1-1-1-1-1-122002-1-1-1-1-1-1-1-10000200000000
χ102222222222-2-2-2-222-2-222-1-1-1-1-1-1-1-12000022-1-1-1-1-1-1-1-1-2-2002111111110000-200000000
χ1122222-2-22222222-2-2-2-222-1-1-1-11111-2000022-1-1-1-111112200-2-1-1-1-111110000-200000000
χ1222222-2-2222-2-2-2-2-2-22222-1-1-1-11111-2000022-1-1-1-11111-2-200-21111-1-1-1-10000200000000
χ132222-122-1-1-10000-1-100222222222222222-1-1-1-1-1-1-1-1-1-10022-100000000-1-1-1-100000-1-100
χ142222-122-1-1-10000-1-10022222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-100-2-2-1000000001111000001100
χ152222-1-2-2-1-1-100001100222222-2-2-2-2-222-2-2-1-1-1-1-1-11111002-2100000000-1-11100000-1100
χ162222-1-2-2-1-1-100001100222222-2-2-2-2-2-2-222-1-1-1-1-1-1111100-2210000000011-1-1000001-100
χ1722-2-222i−2i-22-22i2i−2i−2i2i−2i2-200-111-1ii−i−i0−i2i22−200-11-11ii−i−i00000ii−i−i11-1-1−i2i22−202−2−i2i20000
χ1822-2-222i−2i-22-22i2i−2i−2i2i−2i2-200-111-1ii−i−i0i2−i2−2200-11-11ii−i−i00000ii−i−i11-1-1i2−i2−220−22i2−i20000
χ1922-2-222i−2i-22-2−2i−2i2i2i2i−2i-2200-111-1ii−i−i0−i2i22−200-11-11ii−i−i00000−i−iii-1-111−i2i22−20−22i2−i20000
χ2022-2-222i−2i-22-2−2i−2i2i2i2i−2i-2200-111-1ii−i−i0i2−i2−2200-11-11ii−i−i00000−i−iii-1-111i2−i2−2202−2−i2i20000
χ2122-2-22−2i2i-22-22i2i−2i−2i−2i2i-2200-111-1−i−iii0−i2i2−2200-11-11−i−iii00000ii−i−i-1-111−i2i2−2202−2i2−i20000
χ2222-2-22−2i2i-22-22i2i−2i−2i−2i2i-2200-111-1−i−iii0i2−i22−200-11-11−i−iii00000ii−i−i-1-111i2−i22−20−22−i2i20000
χ2322-2-22−2i2i-22-2−2i−2i2i2i−2i2i2-200-111-1−i−iii0−i2i2−2200-11-11−i−iii00000−i−iii11-1-1−i2i2−220−22−i2i20000
χ2422-2-22−2i2i-22-2−2i−2i2i2i−2i2i2-200-111-1−i−iii0i2−i22−200-11-11−i−iii00000−i−iii11-1-1i2−i22−202−2i2−i20000
χ252-2-22200-2-222-22-20000-222-22-2000000000-2222-2-200002-20002-22-200000000000000000
χ262-2-22200-2-222-22-20000-22-11-113−33−300000-22-1-1113−33−32-2000-11-113−33−30000000000000
χ272-2-22200-2-222-22-20000-22-11-11−33−3300000-22-1-111−33−332-2000-11-11−33−330000000000000
χ282-2-22200-2-22-22-220000-222-22-2000000000-2222-2-20000-22000-22-2200000000000000000
χ292-2-22200-2-22-22-220000-22-11-113−33−300000-22-1-1113−33−3-220001-11-1−33−330000000000000
χ302-2-22200-2-22-22-220000-22-11-11−33−3300000-22-1-111−33−33-220001-11-13−33−30000000000000
χ31333333333333333333-1-100000000-11111-1-100000000-1-1-1-1-1000000001111-11111-1-1-1-1
χ32333333333333333333-1-100000000-1-1-1-1-1-1-100000000-1-111-100000000-1-1-1-1-1-1-1-1-11111
χ333333333333-3-3-3-333-3-3-1-100000000-11111-1-10000000011-1-1-10000000011111-1-1-1-1-1-111
χ343333333333-3-3-3-333-3-3-1-100000000-1-1-1-1-1-1-1000000001111-100000000-1-1-1-11111111-1-1
χ3533333-3-33333333-3-3-3-3-1-100000000111-1-1-1-100000000-1-1-1110000000011-1-1111-1-1-111-1
χ3633333-3-33333333-3-3-3-3-1-1000000001-1-111-1-100000000-1-11-1100000000-1-1111-1-1111-1-11
χ3733333-3-3333-3-3-3-3-3-333-1-100000000111-1-1-1-10000000011-1110000000011-1-1-1-1-111-11-11
χ3833333-3-3333-3-3-3-3-3-333-1-1000000001-1-111-1-100000000111-1100000000-1-111-111-1-11-11-1
χ394444-244-2-2-20000-2-20044-2-2-2-2-2-2-2-240000-2-2111111110000-2000000000000000000000
χ404444-2-4-4-2-2-20000220044-2-2-2-22222-40000-2-21111-1-1-1-100002000000000000000000000
χ4144-4-444i−4i-44-44i4i−4i−4i4i−4i4-4001-1-11−i−iii00000001-11-1−i−iii00000−i−iii-1-1110000000000000
χ4244-4-444i−4i-44-4−4i−4i4i4i4i−4i-44001-1-11−i−iii00000001-11-1−i−iii00000ii−i−i11-1-10000000000000
χ4344-4-44−4i4i-44-44i4i−4i−4i−4i4i-44001-1-11ii−i−i00000001-11-1ii−i−i00000−i−iii11-1-10000000000000
χ4444-4-44−4i4i-44-4−4i−4i4i4i−4i4i4-4001-1-11ii−i−i00000001-11-1ii−i−i00000ii−i−i-1-1110000000000000
χ4544-4-4-24i−4i2-220000−2i2i0000-222-22i2i−2i−2i0−2i22i222−22001-11-1−i−iii0000000000000i2−i2−22000000000
χ4644-4-4-24i−4i2-220000−2i2i0000-222-22i2i−2i−2i02i2−2i2−2222001-11-1−i−iii0000000000000−i2i22−2000000000
χ4744-4-4-2−4i4i2-2200002i−2i0000-222-2−2i−2i2i2i0−2i22i2−2222001-11-1ii−i−i0000000000000i2−i22−2000000000
χ4844-4-4-2−4i4i2-2200002i−2i0000-222-2−2i−2i2i2i02i2−2i222−22001-11-1ii−i−i0000000000000−i2i2−22000000000
χ494-44-44004-4-44i−4i−4i4i00000011-1-1−i3i3i3−i300000001-1-11−i3i3i3−i300000−iii−i−333−30000000000000
χ504-44-44004-4-44i−4i−4i4i00000011-1-1i3−i3−i3i300000001-1-11i3−i3−i3i300000−iii−i3−3−330000000000000
χ514-44-44004-4-44i−4i−4i4i000000-2-22200000000000-222-20000000002i−2i−2i2i00000000000000000
χ524-44-44004-4-4−4i4i4i−4i00000011-1-1−i3i3i3−i300000001-1-11−i3i3i3−i300000i−i−ii3−3−330000000000000
χ534-44-44004-4-4−4i4i4i−4i00000011-1-1i3−i3−i3i300000001-1-11i3−i3−i3i300000i−i−ii−333−30000000000000
χ544-44-44004-4-4−4i4i4i−4i000000-2-22200000000000-222-2000000000−2i2i2i−2i00000000000000000
χ554-4-44-20022-200000000-444-44-40000000002-2-2-222000000000000000000000000000000
χ564-4-44-20022-200000000-44-22-2223−2323−23000002-211-1-1−33−3300000000000000000000000000
χ574-4-44-20022-200000000-44-22-22−2323−2323000002-211-1-13−33−300000000000000000000000000
χ586666-366-3-3-30000-3-300-2-200000000-22222110000000000-2-2100000000-1-1-1-1000001100
χ596666-366-3-3-30000-3-300-2-200000000-2-2-2-2-211000000000022100000000111100000-1-100
χ606666-3-6-6-3-3-300003300-2-200000000222-2-2110000000000-22-100000000-1-111000001-100
χ616666-3-6-6-3-3-300003300-2-2000000002-2-2221100000000002-2-10000000011-1-100000-1100
χ626-6-66600-6-666-66-600002-200000000000002-200000000-22000000000000000000000000
χ636-6-66600-6-66-66-6600002-200000000000002-2000000002-2000000000000000000000000
χ6488-8-8-48i−8i4-440000−4i4i00002-2-22−2i−2i2i2i0000000-11-11ii−i−i00000000000000000000000000
χ6588-8-8-4−8i8i4-4400004i−4i00002-2-222i2i−2i−2i0000000-11-11−i−iii00000000000000000000000000
χ668-88-8-400-444000000000022-2-2−2i32i32i3−2i30000000-111-1i3−i3−i3i300000000000000000000000000
χ678-88-8-400-444000000000022-2-22i3−2i3−2i32i30000000-111-1−i3i3i3−i300000000000000000000000000
χ688-88-8-400-4440000000000-4-444000000000002-2-22000000000000000000000000000000
χ6912-12-1212-60066-6000000004-40000000000000-220000000000000000000000000000000000

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