Finite Group Databasebeta

← Group #11922306

Character table — Group #11922306

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222222266888812121212121212121212121212121212121212121216161616161616161616242424242436364848484872727272
order1222344666121212124436662444466888812122424242424242424366612121212121241212121224121212122488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-1111-1-1-1-1111111-11-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-111-1-11-1-1-111-11-11
χ611111-1-1111-1-1-1-1111111-11-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-1-1111-1-1-1111-11-1
χ711111-1-1111-1-1-1-1111111-1-1111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1111-1-11-11-1
χ811111-1-1111-1-1-1-1111111-1-11-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-1-111-1111-1-1-11-11
χ92222222222222222-1-1-1-1222002200002200000000-1-1-1-1-1-1-1-1-1-10000022-1-1-1-10000
χ102222222222222222-1-1-1-12-2-2002200002200000000-1-1-1-1-1-1-1-1-1-100000-2-211110000
χ1122222-2-2222-2-2-2-222-1-1-1-1-22-200-2-200002200000000-1-1-1-1111111000002-211-1-10000
χ1222222-2-2222-2-2-2-222-1-1-1-1-2-2200-2-200002200000000-1-1-1-111111100000-22-1-1110000
χ132222-122-1-1-1-1-1-1-122222220022-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12-1-1-1-10000000000
χ142222-122-1-1-1-1-1-1-1222222200-2-2-1-1-2-2-2-2-1-111111111-1-1-1-122-1-1-1-1-211110000000000
χ152222-1-2-2-1-1-11111222222-200221122-2-2-1-1-1-1-1-11111-1-1-1-1-2-21111-2-1-1110000000000
χ162222-1-2-2-1-1-11111222222-200-2-211-2-222-1-11111-1-1-1-1-1-1-1-1-2-21111211-1-10000000000
χ1722-2-22002-2-200002-22-2-220002i−2i002i−2i002-22i2i−2i−2i00002-2-2200000002i−2i000000000000
χ1822-2-22002-2-200002-22-2-22000−2i2i00−2i2i002-2−2i−2i2i2i00002-2-220000000−2i2i000000000000
χ1922-2-2-100-111−i3−i3i3i32-22-2-220002i−2i−i3i32i−2i00-11−i−iii33−3−3-111-100−i3−i3i3i30−ii3−30000000000
χ2022-2-2-100-111−i3−i3i3i32-22-2-22000−2i2i−i3i3−2i2i00-11ii−i−i−3−333-111-100−i3−i3i3i30i−i−330000000000
χ2122-2-2-100-111i3i3−i3−i32-22-2-220002i−2ii3−i32i−2i00-11−i−iii−3−333-111-100i3i3−i3−i30−ii−330000000000
χ2222-2-2-100-111i3i3−i3−i32-22-2-22000−2i2ii3−i3−2i2i00-11ii−i−i33−3−3-111-100i3i3−i3−i30i−i3−30000000000
χ2333333333333333-1-10000-13311-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000011111-1-1000011-1-1
χ2433333333333333-1-10000-133-1-1-1-11111-1-1111111110000000000-1-1-1-1-1-1-10000-1-111
χ2533333333333333-1-10000-1-3-311-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000011111110000-1-111
χ2633333333333333-1-10000-1-3-3-1-1-1-11111-1-1111111110000000000-1-1-1-1-111000011-1-1
χ2733333-3-3333-3-3-3-3-1-1000013-31111-1-111-1-1-1-1-1-111110000000000-111-1-1-110000-111-1
χ2833333-3-3333-3-3-3-3-1-1000013-3-1-11111-1-1-1-11111-1-1-1-100000000001-1-111-1100001-1-11
χ2933333-3-3333-3-3-3-3-1-100001-331111-1-111-1-1-1-1-1-111110000000000-111-1-11-100001-1-11
χ3033333-3-3333-3-3-3-3-1-100001-33-1-11111-1-1-1-11111-1-1-1-100000000001-1-1111-10000-111-1
χ314444-244-2-2-2-2-2-2-244-2-2-2-240000-2-20000-2-2000000001111-2-21111000000000000000
χ324444-2-4-4-2-2-2222244-2-2-2-2-40000220000-2-200000000111122-1-1-1-1000000000000000
χ3344-4-44004-4-400004-4-222-2000000000004-400000000-222-2000000000000000000000
χ3444-4-4-200-222−2i3−2i32i32i34-4-222-200000−2i32i30000-22000000001-1-1100i3i3−i3−i3000000000000000
χ3544-4-4-200-2222i32i3−2i3−2i34-4-222-2000002i3−2i30000-22000000001-1-1100−i3−i3i3i3000000000000000
χ364-44-444i−4i-44-44i−4i4i−4i001-11-100000000000000000000011-1-1i−ii−ii−i0000000−i3i33−30000
χ374-44-444i−4i-44-44i−4i4i−4i001-11-100000000000000000000011-1-1i−ii−ii−i0000000i3−i3−330000
χ384-44-444i−4i-44-44i−4i4i−4i00-22-22000000000000000000000-2-222−2i2i−2i2i−2i2i000000000000000
χ394-44-44−4i4i-44-4−4i4i−4i4i001-11-100000000000000000000011-1-1−ii−ii−ii0000000−i3i3−330000
χ404-44-44−4i4i-44-4−4i4i−4i4i001-11-100000000000000000000011-1-1−ii−ii−ii0000000i3−i33−30000
χ414-44-44−4i4i-44-4−4i4i−4i4i00-22-22000000000000000000000-2-2222i−2i2i−2i2i−2i000000000000000
χ424-44-4-24i−4i2-22−2i2i−2i2i00-22-220000000000000i6−i6i6−i66−66−611-1-1−2i2ii−ii−i000000000000000
χ434-44-4-24i−4i2-22−2i2i−2i2i00-22-220000000000000−i6i6−i6i6−66−6611-1-1−2i2ii−ii−i000000000000000
χ444-44-4-2−4i4i2-222i−2i2i−2i00-22-220000000000000i6−i6i6−i6−66−6611-1-12i−2i−ii−ii000000000000000
χ454-44-4-2−4i4i2-222i−2i2i−2i00-22-220000000000000−i6i6−i6i66−66−611-1-12i−2i−ii−ii000000000000000
χ464-4-44400-4-44000000-2-22200000000022−2200000022−22−2222-22-22000000000000000000000
χ474-4-44400-4-44000000-2-222000000000−2222000000−222222−22-22-22000000000000000000000
χ484-4-44-20022-223−23−232300-2-22200000000022−22006−6−66−222−21-11-100−333−3000000000000000
χ494-4-44-20022-223−23−232300-2-222000000000−222200−666−62−2−221-11-100−333−3000000000000000
χ504-4-44-20022-2−232323−2300-2-22200000000022−2200−666−6−222−21-11-1003−3−33000000000000000
χ514-4-44-20022-2−232323−2300-2-222000000000−2222006−6−662−2−221-11-1003−3−33000000000000000
χ526666-366-3-3-3-3-3-3-3-2-20000-2002211-2-2-2-2111111111100000000002-1-1-1-10000000000
χ536666-366-3-3-3-3-3-3-3-2-20000-200-2-211222211-1-1-1-1-1-1-1-10000000000-211110000000000
χ546666-3-6-6-3-3-33333-2-2000020022-1-1-2-222111111-1-1-1-10000000000-2-1-1110000000000
χ556666-3-6-6-3-3-33333-2-20000200-2-2-1-122-2-211-1-1-1-111110000000000211-1-10000000000
χ5666-6-66006-6-60000-2200000002i−2i00−2i2i00-22−2i−2i2i2i0000000000000002i−2i000000000000
χ5766-6-66006-6-60000-220000000−2i2i002i−2i00-222i2i−2i−2i000000000000000−2i2i000000000000
χ5866-6-6-300-333−3i3−3i33i33i3-2200000002i−2ii3−i3−2i2i001-1ii−i−i−3−33300000000000−ii3−30000000000
χ5966-6-6-300-333−3i3−3i33i33i3-220000000−2i2ii3−i32i−2i001-1−i−iii33−3−300000000000i−i−330000000000
χ6066-6-6-300-3333i33i3−3i3−3i3-2200000002i−2i−i3i3−2i2i001-1ii−i−i33−3−300000000000−ii−330000000000
χ6166-6-6-300-3333i33i3−3i3−3i3-220000000−2i2i−i3i32i−2i001-1−i−iii−3−33300000000000i−i3−30000000000
χ628-88-8-48i−8i4-44−4i4i−4i4i002-22-2000000000000000000000-1-1112i−2i−ii−ii000000000000000
χ638-88-8-4−8i8i4-444i−4i4i−4i002-22-2000000000000000000000-1-111−2i2ii−ii−i000000000000000
χ648-8-88800-8-8800000022-2-20000000000000000000002-22-2000000000000000000000
χ658-8-88-40044-443−43−43430022-2-2000000000000000000000-11-11003−3−33000000000000000
χ668-8-88-40044-4−434343−430022-2-2000000000000000000000-11-1100−333−3000000000000000

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