Finite Group Databasebeta

← Group #11922431

Character table — Group #11922431

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222222266888812121212121212121212121212121212121212121216161616161616161616242424242436364848484872727272
order122234466612121212443666224446688881212242424242424242436661212121212122661212446612122488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111-111-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
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
χ511111-1-1111-1-1-1-1111111-1111-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1111-1-11-1-11
χ611111-1-1111-1-1-1-1111111-11-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111-1-1-1111-1-1-111-1
χ711111-1-1111-1-1-1-1111111-1-1111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-111-111-1
χ811111-1-1111-1-1-1-1111111-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111-1-11-1-1-1111-1-11
χ92222222222222222-1-1-1-1220022200002200000000-1-1-1-1-1-1-1-1-1-10000022-1-1-1-10000
χ102222222222222222-1-1-1-12-200-22200002200000000-1-1-1-1-1-1-1-1-1-100000-2-211110000
χ1122222-2-2222-2-2-2-222-1-1-1-1-2200-2-2-200002200000000-1-1-1-111111100000-22-1-1110000
χ1222222-2-2222-2-2-2-222-1-1-1-1-2-2002-2-200002200000000-1-1-1-1111111000002-211-1-10000
χ132222-122-1-1-1-1-1-1-122222220220-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12-1-1-1-10000000000
χ142222-122-1-1-1-1-1-1-122222220-2-20-1-1-2-2-2-2-1-111111111-1-1-1-122-1-1-1-1-211110000000000
χ152222-1-2-2-1-1-11111222222-202201122-2-2-1-1-1-1-1-11111-1-1-1-1-2-21111-211-1-10000000000
χ162222-1-2-2-1-1-11111222222-20-2-2011-2-222-1-11111-1-1-1-1-1-1-1-1-2-211112-1-1110000000000
χ172-22-2200-2-220000-222-22-2002-20002-200-2222-2-200002-2-220000000002-20000000000
χ182-22-2200-2-220000-222-22-200-22000-2200-22-2-22200002-2-22000000000-220000000000
χ192-22-2-10011-1−i3−i3i3i3-222-22-2002-20−i3i32-2001-1-1-111−i3−i3i3i3-111-100−i3−i3i3i30−i3i3-110000000000
χ202-22-2-10011-1−i3−i3i3i3-222-22-200-220−i3i3-22001-111-1-1i3i3−i3−i3-111-100−i3−i3i3i30i3−i31-10000000000
χ212-22-2-10011-1i3i3−i3−i3-222-22-2002-20i3−i32-2001-1-1-111i3i3−i3−i3-111-100i3i3−i3−i30i3−i3-110000000000
χ222-22-2-10011-1i3i3−i3−i3-222-22-200-220i3−i3-22001-111-1-1−i3−i3i3i3-111-100i3i3−i3−i30−i3i31-10000000000
χ2333333333333333-1-10000-13113-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000011111-1-1000011-1-1
χ2433333333333333-1-10000-13-1-13-1-11111-1-1111111110000000000-1-1-1-1-1-1-10000-1-111
χ2533333333333333-1-10000-1-311-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000011111110000-1-111
χ2633333333333333-1-10000-1-3-1-1-3-1-11111-1-1111111110000000000-1-1-1-1-111000011-1-1
χ2733333-3-3333-3-3-3-3-1-100001311-311-1-111-1-1-1-1-1-111110000000000-1-1-1111-100001-11-1
χ2833333-3-3333-3-3-3-3-1-1000013-1-1-31111-1-1-1-11111-1-1-1-10000000000111-1-11-10000-11-11
χ2933333-3-3333-3-3-3-3-1-100001-311311-1-111-1-1-1-1-1-111110000000000-1-1-111-110000-11-11
χ3033333-3-3333-3-3-3-3-1-100001-3-1-131111-1-1-1-11111-1-1-1-10000000000111-1-1-1100001-11-1
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
χ3344-4-444i−4i4-4-44i−4i4i−4i0011-1-100000000000000000000011-1-1i−ii−ii−i0000000−i3i33−30000
χ3444-4-444i−4i4-4-44i−4i4i−4i0011-1-100000000000000000000011-1-1i−ii−ii−i0000000i3−i3−330000
χ3544-4-444i−4i4-4-44i−4i4i−4i00-2-222000000000000000000000-2-222−2i2i−2i2i−2i2i000000000000000
χ3644-4-44−4i4i4-4-4−4i4i−4i4i0011-1-100000000000000000000011-1-1−ii−ii−ii0000000−i3i3−330000
χ3744-4-44−4i4i4-4-4−4i4i−4i4i0011-1-100000000000000000000011-1-1−ii−ii−ii0000000i3−i33−30000
χ3844-4-44−4i4i4-4-4−4i4i−4i4i00-2-222000000000000000000000-2-2222i−2i2i−2i2i−2i000000000000000
χ3944-4-4-24i−4i-222−2i2i−2i2i00-2-2220000000000000i6−i6i6−i66−66−611-1-1−2i2ii−ii−i000000000000000
χ4044-4-4-24i−4i-222−2i2i−2i2i00-2-2220000000000000−i6i6−i6i6−66−6611-1-1−2i2ii−ii−i000000000000000
χ4144-4-4-2−4i4i-2222i−2i2i−2i00-2-2220000000000000i6−i6i6−i6−66−6611-1-12i−2i−ii−ii000000000000000
χ4244-4-4-2−4i4i-2222i−2i2i−2i00-2-2220000000000000−i6i6−i6i66−66−611-1-12i−2i−ii−ii000000000000000
χ434-44-4400-4-440000-44-22-2200000000000-4400000000-222-2000000000000000000000
χ444-44-4-20022-2−2i3−2i32i32i3-44-22-2200000−2i32i300002-2000000001-1-1100i3i3−i3−i3000000000000000
χ454-44-4-20022-22i32i3−2i3−2i3-44-22-22000002i3−2i300002-2000000001-1-1100−i3−i3i3i3000000000000000
χ464-4-44400-44-4000000-222-2000000000−2i22i2000000−2i22i22i2−2i2-22-22000000000000000000000
χ474-4-44400-44-4000000-222-20000000002i2−2i20000002i2−2i2−2i22i2-22-22000000000000000000000
χ484-4-44-2002-2223−23−232300-222-2000000000−2i22i200−i6i6i6−i6i2−i2−i2i21-11-100−333−3000000000000000
χ494-4-44-2002-2223−23−232300-222-20000000002i2−2i200i6−i6−i6i6−i2i2i2−i21-11-100−333−3000000000000000
χ504-4-44-2002-22−232323−2300-222-2000000000−2i22i200i6−i6−i6i6i2−i2−i2i21-11-1003−3−33000000000000000
χ514-4-44-2002-22−232323−2300-222-20000000002i2−2i200−i6i6i6−i6−i2i2i2−i21-11-1003−3−33000000000000000
χ526666-366-3-3-3-3-3-3-3-2-20000-2022011-2-2-2-2111111111100000000002-1-1-1-10000000000
χ536666-366-3-3-3-3-3-3-3-2-20000-20-2-2011222211-1-1-1-1-1-1-1-10000000000-211110000000000
χ546666-3-6-6-3-3-33333-2-2000020220-1-1-2-222111111-1-1-1-10000000000-211-1-10000000000
χ556666-3-6-6-3-3-33333-2-2000020-2-20-1-122-2-211-1-1-1-1111100000000002-1-1110000000000
χ566-66-6600-6-6600002-20000002-2000-22002-2-2-222000000000000000002-20000000000
χ576-66-6600-6-6600002-2000000-220002-2002-222-2-200000000000000000-220000000000
χ586-66-6-30033-3−3i3−3i33i33i32-20000002-20i3−i3-2200-1111-1-1i3i3−i3−i300000000000−i3i3-110000000000
χ596-66-6-30033-3−3i3−3i33i33i32-2000000-220i3−i32-200-11-1-111−i3−i3i3i300000000000i3−i31-10000000000
χ606-66-6-30033-33i33i3−3i3−3i32-20000002-20−i3i3-2200-1111-1-1−i3−i3i3i300000000000i3−i3-110000000000
χ616-66-6-30033-33i33i3−3i3−3i32-2000000-220−i3i32-200-11-1-111i3i3−i3−i300000000000−i3i31-10000000000
χ6288-8-8-48i−8i-444−4i4i−4i4i0022-2-2000000000000000000000-1-1112i−2i−ii−ii000000000000000
χ6388-8-8-4−8i8i-4444i−4i4i−4i0022-2-2000000000000000000000-1-111−2i2ii−ii−i000000000000000
χ648-8-88800-88-80000002-2-220000000000000000000002-22-2000000000000000000000
χ658-8-88-4004-4443−43−4343002-2-22000000000000000000000-11-11003−3−33000000000000000
χ668-8-88-4004-44−434343−43002-2-22000000000000000000000-11-1100−333−3000000000000000

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