Finite Group Databasebeta

← Group #11921714

Character table — Group #11921714

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11112222223333446666888888881212121212121216161616161616161818242424242424242424242424242424363636363648487272
order1222344666444412122244366612121212488881212366612121212442466661212121212242424244888861244
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1111111111111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-111-1-11111111111111111111111111-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-111-1-1
χ41111111111-1-1-1-111-1-111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-111
χ511111-1-11111111-1-1-1-1111111-1-1-1-1-111-1-1111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-111-1-11-11-1
χ611111-1-11111111-1-1-1-1111111-1-1-1-1-1-1-111111111-1-1-1-111-11-1-1-1-1-11111-1-111-1-1-111-11-11
χ711111-1-1111-1-1-1-1-1-111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-11-11111-1-1-1-1-111-1-11-1-1111-1-11
χ811111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-111111-1-1-111-1
χ922222222222222222222-1-1-1-1-1-1-1-12000022-1-1-1-1-1-1-1-12200-1-1-1-12-1-1-1-10000200000000
χ102222222222-2-2-2-222-2-222-1-1-1-1-1-1-1-12000022-1-1-1-1-1-1-1-1-2-2001111211110000-200000000
χ1122222-2-22222222-2-2-2-222-1-1-1-11111-2000022-1-1-1-1111122001111-2-1-1-1-10000-200000000
χ1222222-2-2222-2-2-2-2-2-22222-1-1-1-11111-2000022-1-1-1-11111-2-200-1-1-1-1-211110000200000000
χ132222-122-1-1-10000-1-100222222222222222-1-1-1-1-1-1-1-1-1-100220000-10000-1-1-1-100000-1-100
χ142222-122-1-1-10000-1-10022222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-100-2-20000-100001111000001100
χ152222-1-2-2-1-1-100001100222222-2-2-2-2-222-2-2-1-1-1-1-1-11111002-2000010000-1-11100000-1100
χ162222-1-2-2-1-1-100001100222222-2-2-2-2-2-2-222-1-1-1-1-1-1111100-2200001000011-1-1000001-100
χ1722-2-2200-2-222i2i−2i−2i00002-222-2-2000000000-2222-2-200002i−2i00000002i2i−2i−2i0000000000000
χ1822-2-2200-2-222i2i−2i−2i00002-2-1-11133−3−300000-22-1-11133−3−32i−2i00−i3−i3i3i30−i−iii0000000000000
χ1922-2-2200-2-222i2i−2i−2i00002-2-1-111−3−33300000-22-1-111−3−3332i−2i00i3i3−i3−i30−i−iii0000000000000
χ2022-2-2200-2-22−2i−2i2i2i00002-222-2-2000000000-2222-2-20000−2i2i0000000−2i−2i2i2i0000000000000
χ2122-2-2200-2-22−2i−2i2i2i00002-2-1-11133−3−300000-22-1-11133−3−3−2i2i00i3i3−i3−i30ii−i−i0000000000000
χ2222-2-2200-2-22−2i−2i2i2i00002-2-1-111−3−33300000-22-1-111−3−333−2i2i00−i3−i3i3i30ii−i−i0000000000000
χ232-2-2222i−2i-22-22i−2i2i−2i2i−2i2-200-11-11i−ii−i0−i2i22−200-11-11i−ii−i00001-11-10i−ii−i−i2i22−202−2−i2i20000
χ242-2-2222i−2i-22-22i−2i2i−2i2i−2i2-200-11-11i−ii−i0i2−i2−2200-11-11i−ii−i00001-11-10i−ii−ii2−i2−220−22i2−i20000
χ252-2-2222i−2i-22-2−2i2i−2i2i2i−2i-2200-11-11i−ii−i0−i2i22−200-11-11i−ii−i0000-11-110−ii−ii−i2i22−20−22i2−i20000
χ262-2-2222i−2i-22-2−2i2i−2i2i2i−2i-2200-11-11i−ii−i0i2−i2−2200-11-11i−ii−i0000-11-110−ii−iii2−i2−2202−2−i2i20000
χ272-2-222−2i2i-22-22i−2i2i−2i−2i2i-2200-11-11−ii−ii0−i2i2−2200-11-11−ii−ii0000-11-110i−ii−i−i2i2−2202−2i2−i20000
χ282-2-222−2i2i-22-22i−2i2i−2i−2i2i-2200-11-11−ii−ii0i2−i22−200-11-11−ii−ii0000-11-110i−ii−ii2−i22−20−22−i2i20000
χ292-2-222−2i2i-22-2−2i2i−2i2i−2i2i2-200-11-11−ii−ii0−i2i2−2200-11-11−ii−ii00001-11-10−ii−ii−i2i2−220−22−i2i20000
χ302-2-222−2i2i-22-2−2i2i−2i2i−2i2i2-200-11-11−ii−ii0i2−i22−200-11-11−ii−ii00001-11-10−ii−iii2−i22−202−2i2−i20000
χ31333333333333333333-1-100000000-11111-1-100000000-1-1-1-10000-100001111-11111-1-1-1-1
χ32333333333333333333-1-100000000-1-1-1-1-1-1-100000000-1-1110000-10000-1-1-1-1-1-1-1-1-11111
χ333333333333-3-3-3-333-3-3-1-100000000-11111-1-10000000011-1-10000-1000011111-1-1-1-1-1-111
χ343333333333-3-3-3-333-3-3-1-100000000-1-1-1-1-1-1-10000000011110000-10000-1-1-1-11111111-1-1
χ3533333-3-33333333-3-3-3-3-1-100000000111-1-1-1-100000000-1-1-1100001000011-1-1111-1-1-11-11
χ3633333-3-33333333-3-3-3-3-1-1000000001-1-111-1-100000000-1-11-1000010000-1-1111-1-1111-11-1
χ3733333-3-3333-3-3-3-3-3-333-1-100000000111-1-1-1-10000000011-1100001000011-1-1-1-1-111-111-1
χ3833333-3-3333-3-3-3-3-3-333-1-1000000001-1-111-1-100000000111-1000010000-1-111-111-1-11-1-11
χ394444-244-2-2-20000-2-20044-2-2-2-2-2-2-2-240000-2-21111111100000000-200000000000000000
χ404444-2-4-4-2-2-20000220044-2-2-2-22222-40000-2-21111-1-1-1-100000000200000000000000000
χ4144-4-4-20022-2000000004-444-4-40000000002-2-2-222000000000000000000000000000000
χ4244-4-4-20022-2000000004-4-2-2222323−23−23000002-211-1-1−3−33300000000000000000000000000
χ4344-4-4-20022-2000000004-4-2-222−23−232323000002-211-1-133−3−300000000000000000000000000
χ444-44-44004-4-44-4-440000001-1-11−i3i3i3−i300000001-1-11−i3i3i3−i30000−i3i3i3−i30-111-10000000000000
χ454-44-44004-4-44-4-440000001-1-11i3−i3−i3i300000001-1-11i3−i3−i3i30000i3−i3−i3i30-111-10000000000000
χ464-44-44004-4-44-4-44000000-222-200000000000-222-200000000000002-2-220000000000000
χ474-44-44004-4-4-444-40000001-1-11−i3i3i3−i300000001-1-11−i3i3i3−i30000i3−i3−i3i301-1-110000000000000
χ484-44-44004-4-4-444-40000001-1-11i3−i3−i3i300000001-1-11i3−i3−i3i30000−i3i3i3−i301-1-110000000000000
χ494-44-44004-4-4-444-4000000-222-200000000000-222-20000000000000-222-20000000000000
χ504-4-4444i−4i-44-44i−4i4i−4i4i−4i4-4001-11-1−ii−ii00000001-11-1−ii−ii0000-11-110−ii−ii0000000000000
χ514-4-4444i−4i-44-4−4i4i−4i4i4i−4i-44001-11-1−ii−ii00000001-11-1−ii−ii00001-11-10i−ii−i0000000000000
χ524-4-444−4i4i-44-44i−4i4i−4i−4i4i-44001-11-1i−ii−i00000001-11-1i−ii−i00001-11-10−ii−ii0000000000000
χ534-4-444−4i4i-44-4−4i4i−4i4i−4i4i4-4001-11-1i−ii−i00000001-11-1i−ii−i0000-11-110i−ii−i0000000000000
χ544-4-44-24i−4i2-220000−2i2i0000-22-222i−2i2i−2i0−2i22i222−22001-11-1−ii−ii0000000000000i2−i2−22000000000
χ554-4-44-24i−4i2-220000−2i2i0000-22-222i−2i2i−2i02i2−2i2−2222001-11-1−ii−ii0000000000000−i2i22−2000000000
χ564-4-44-2−4i4i2-2200002i−2i0000-22-22−2i2i−2i2i0−2i22i2−2222001-11-1i−ii−i0000000000000i2−i22−2000000000
χ574-4-44-2−4i4i2-2200002i−2i0000-22-22−2i2i−2i2i02i2−2i222−22001-11-1i−ii−i0000000000000−i2i2−22000000000
χ586666-366-3-3-30000-3-300-2-200000000-22222110000000000-2-2000010000-1-1-1-1000001100
χ596666-366-3-3-30000-3-300-2-200000000-2-2-2-2-211000000000022000010000111100000-1-100
χ606666-3-6-6-3-3-300003300-2-200000000222-2-2110000000000-220000-10000-1-111000001-100
χ616666-3-6-6-3-3-300003300-2-2000000002-2-2221100000000002-20000-1000011-1-100000-1100
χ6266-6-6600-6-666i6i−6i−6i0000-2200000000000002-200000000−2i2i000000000000000000000000
χ6366-6-6600-6-66−6i−6i6i6i0000-2200000000000002-2000000002i−2i000000000000000000000000
χ648-88-8-400-44400000000002-2-22−2i32i32i3−2i30000000-111-1i3−i3−i3i300000000000000000000000000
χ658-88-8-400-44400000000002-2-222i3−2i3−2i32i30000000-111-1−i3i3i3−i300000000000000000000000000
χ668-88-8-400-4440000000000-444-4000000000002-2-22000000000000000000000000000000
χ678-8-88-48i−8i4-440000−4i4i00002-22-2−2i2i−2i2i0000000-11-11i−ii−i00000000000000000000000000
χ688-8-88-4−8i8i4-4400004i−4i00002-22-22i−2i2i−2i0000000-11-11−ii−ii00000000000000000000000000
χ691212-12-12-60066-600000000-440000000000000-220000000000000000000000000000000000

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