Finite Group Databasebeta

← Group #11922239

Character table — Group #11922239

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222222266888812121212121212121212121212121212121212121216161616161616161616242424242436364848484872727272
order12222236666666443666222448888121212122424242424242424366666666626666446612124488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1111-1-1-1-11111111111-1-111-1-11-1-111111-1-1-1-11-1-1111-1-1-1-1-111-1-1-1111-1-1-11-11
χ61111-1-1111-1-1-1-1111111111-11-111-1-11-1-111111-1-1-1-11-1-1111-1-1-1-1-111-1-11-1-1-1111-11-1
χ71111-1-1111-1-1-1-11111111-1-11-1-1-1-1111-1-11-1-1-1-111111-1-1111-1-1-1-11-1-111-1111-1-11-11-1
χ81111-1-1111-1-1-1-11111111-1-1-11-1-1-1111-1-11-1-1-1-111111-1-1111-1-1-1-11-1-1111-1-1-111-11-11
χ92222222222222222-1-1-1-1002220000222200000000-1-1-1-1-1-1-1-1-1-10000022-1-1-1-10000
χ102222222222222222-1-1-1-100-2-220000222200000000-1-1-1-1-1-1-1-1-1-100000-2-211110000
χ11222222-1-1-1-1-1-1-1-1222222220022222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-10000000000
χ12222222-1-1-1-1-1-1-1-1222222-2-2002-2-2-2-2-1-1-1-111111111-122-1-1-1-1-1-1-1-211110000000000
χ132222-2-2222-2-2-2-2222-1-1-1-1002-2-200002-2-2200000000-111-1-1-1111100000-22-1-1110000
χ142222-2-2222-2-2-2-2222-1-1-1-100-22-200002-2-2200000000-111-1-1-11111000002-211-1-10000
χ152222-2-2-1-1-11111-12222222200-222-2-2-111-1-1-1-1-11111-1-2-2-1-1-11111-2-1-1110000000000
χ162222-2-2-1-1-11111-1222222-2-200-2-2-222-111-11111-1-1-1-1-1-2-2-1-1-11111211-1-10000000000
χ172-2-22002-2-200002-2222-2-22-20002-200-200222-2-200002002-2-2000002-2000000000000
χ182-2-22002-2-200002-2222-2-2-22000-2200-2002-2-22200002002-2-200000-22000000000000
χ192-2-2200-111−i3−i3i3i3-1-2222-2-22-20002-2001−i3i3-1-1-111−i3−i3i3i3-100-111−i3−i3i3i30-11−i3i30000000000
χ202-2-2200-111−i3−i3i3i3-1-2222-2-2-22000-22001−i3i3-111-1-1i3i3−i3−i3-100-111−i3−i3i3i301-1i3−i30000000000
χ212-2-2200-111i3i3−i3−i3-1-2222-2-22-20002-2001i3−i3-1-1-111i3i3−i3−i3-100-111i3i3−i3−i30-11i3−i30000000000
χ222-2-2200-111i3i3−i3−i3-1-2222-2-2-22000-22001i3−i3-111-1-1−i3−i3i3i3-100-111i3i3−i3−i301-1−i3i30000000000
χ2333333333333333-1-100001133-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000011111-1-1000011-1-1
χ2433333333333333-1-1000011-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000011111110000-1-111
χ2533333333333333-1-10000-1-133-11111-1-1-1-1111111110000000000-1-1-1-1-1-1-10000-1-111
χ2633333333333333-1-10000-1-1-3-3-11111-1-1-1-1111111110000000000-1-1-1-1-111000011-1-1
χ273333-3-3333-3-3-3-33-1-10000113-31-1-111-111-1-1-1-1-111110000000000-111-1-11-10000-111-1
χ283333-3-3333-3-3-3-33-1-1000011-331-1-111-111-1-1-1-1-111110000000000-111-1-1-1100001-1-11
χ293333-3-3333-3-3-3-33-1-10000-1-13-3111-1-1-111-11111-1-1-1-100000000001-1-1111-100001-1-11
χ303333-3-3333-3-3-3-33-1-10000-1-1-33111-1-1-111-11111-1-1-1-100000000001-1-111-110000-111-1
χ31444444-2-2-2-2-2-2-2-244-2-2-2-2000040000-2-2-2-2000000001-2-21111111000000000000000
χ324444-4-4-2-2-22222-244-2-2-2-20000-40000-222-200000000122111-1-1-1-1000000000000000
χ3344-4-44-444-44-44-4-4001-1-1100000000000000000000011-1-11-11-11-10000000−i3i3−i3i30000
χ3444-4-44-444-44-44-4-4001-1-1100000000000000000000011-1-11-11-11-10000000i3−i3i3−i30000
χ3544-4-44-444-44-44-4-400-222-2000000000000000000000-2-222-22-22-22000000000000000
χ3644-4-44-4-2-22-22-22200-222-200000000000006−66−66−66−61-22-11-11-11-1000000000000000
χ3744-4-44-4-2-22-22-22200-222-20000000000000−66−66−66−661-22-11-11-11-1000000000000000
χ3844-4-4-4444-4-44-44-4001-1-110000000000000000000001-11-11-1-11-110000000−i3i3i3−i30000
χ3944-4-4-4444-4-44-44-4001-1-110000000000000000000001-11-11-1-11-110000000i3−i3−i3i30000
χ4044-4-4-4444-4-44-44-400-222-2000000000000000000000-22-22-222-22-2000000000000000
χ4144-4-4-44-2-222-22-2200-222-200000000000006−66−6−66−6612-2-11-1-11-11000000000000000
χ4244-4-4-44-2-222-22-2200-222-20000000000000−66−666−66−612-2-11-1-11-11000000000000000
χ434-44-4004-440000-400-22-220000000−2i22i200000000−2i22i22i2−2i2-20022-20000000000000000000
χ444-44-4004-440000-400-22-2200000002i2−2i2000000002i2−2i2−2i22i2-20022-20000000000000000000
χ454-44-400-22-2−2i32i32i3−2i3200-22-220000000−2i22i20000−666−6i2−i2−i2i2100-1-11i3−i3−i3i3000000000000000
χ464-44-400-22-2−2i32i32i3−2i3200-22-2200000002i2−2i200006−6−66−i2i2i2−i2100-1-11i3−i3−i3i3000000000000000
χ474-44-400-22-22i3−2i3−2i32i3200-22-220000000−2i22i200006−6−66i2−i2−i2i2100-1-11−i3i3i3−i3000000000000000
χ484-44-400-22-22i3−2i3−2i32i3200-22-2200000002i2−2i20000−666−6−i2i2i2−i2100-1-11−i3i3i3−i3000000000000000
χ494-4-44004-4-400004-44-2-222000000000-400400000000-200-2220000000000000000000
χ504-4-4400-222−2i3−2i32i32i3-2-44-2-2220000000002−2i32i3-2000000001001-1-1i3i3−i3−i3000000000000000
χ514-4-4400-2222i32i3−2i3−2i3-2-44-2-22200000000022i3−2i3-2000000001001-1-1−i3−i3i3i3000000000000000
χ52666666-3-3-3-3-3-3-3-3-2-200002200-2-2-2-2-211111111111100000000002-1-1-1-10000000000
χ53666666-3-3-3-3-3-3-3-3-2-20000-2-200-222221111-1-1-1-1-1-1-1-10000000000-211110000000000
χ546666-6-6-3-3-33333-3-2-2000022002-2-2221-1-111111-1-1-1-10000000000-2-1-1110000000000
χ556666-6-6-3-3-33333-3-2-20000-2-200222-2-21-1-11-1-1-1-111110000000000211-1-10000000000
χ566-6-66006-6-6000062-200002-2000-2200200-2-2-2220000000000000002-2000000000000
χ576-6-66006-6-6000062-20000-220002-200200-222-2-2000000000000000-22000000000000
χ586-6-6600-333−3i3−3i33i33i3-32-200002-2000-2200-1i3−i3111-1-1i3i3−i3−i300000000000-11−i3i30000000000
χ596-6-6600-333−3i3−3i33i33i3-32-20000-220002-200-1i3−i31-1-111−i3−i3i3i3000000000001-1i3−i30000000000
χ606-6-6600-3333i33i3−3i3−3i3-32-200002-2000-2200-1−i3i3111-1-1−i3−i3i3i300000000000-11i3−i30000000000
χ616-6-6600-3333i33i3−3i3−3i3-32-20000-220002-200-1−i3i31-1-111i3i3−i3−i3000000000001-1−i3i30000000000
χ6288-8-88-8-4-44-44-444002-2-22000000000000000000000-12-21-11-11-11000000000000000
χ6388-8-8-88-4-444-44-44002-2-22000000000000000000000-1-221-111-11-1000000000000000
χ648-88-8008-880000-8002-22-2000000000000000000000200-2-220000000000000000000
χ658-88-800-44-4−4i34i34i3−4i34002-22-2000000000000000000000-10011-1−i3i3i3−i3000000000000000
χ668-88-800-44-44i3−4i3−4i34i34002-22-2000000000000000000000-10011-1i3−i3−i3i3000000000000000

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