Finite Group Databasebeta

← Group #11922168

Character table — Group #11922168

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222224466666688881212121212121216161616161616161616181818182424242424242436363636363648484848484872
order1222223666664444443666488881212366666666688884412242424242224881212121212122
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11-1-1-1-11-1-11-1-1-1-11111-1
χ3111111111111-1-1-1-111111111111111111111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1
χ4111111111111-1-1-1-11111111-1-1-1-11111111111111111-1-11-1-1-1-1-111-111-1-1-1-1-1-11
χ51111-1-11111-1-111-1-1111111-111-1-1111-1-1111-1-1-1-111111-1-111-1-1-1111-1-11-111-1-1-1
χ61111-1-11111-1-111-1-1111111-1-1-111111-1-1111-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1111-1111-1-11
χ71111-1-11111-1-1-1-111111111-111-1-1111-1-1111-1-1-1-1-1-1-1-11-1-111-1-11-1-1-1111-1-1-1111
χ81111-1-11111-1-1-1-111111111-1-1-111111-1-1111-1-1-1-11111-11-1-1-111111-1-1-1-11-1-111-1
χ9222222222222222222-1-1-1-12000022-1-1-1-1-1-1-1-1-1-10000002000020020000-1-1-1-10
χ10222222222222-2-2-2-222-1-1-1-12000022-1-1-1-1-1-1-1-1-1-100000020000-200-2000011110
χ11222222-1-1-1-1-1-1000022222222222-1-1-122-1-1-1-1-1-1-1000022-1-1-1-1-1000000-1-100000
χ12222222-1-1-1-1-1-100002222222-2-2-2-2-1-1-122-1-1-1-1-1-1-10000-2-2-111110000001100000
χ132222-2-22222-2-222-2-222-1-1-1-1-2000022-111-1-1-11111000000-20000-20020000-1-1110
χ142222-2-22222-2-2-2-22222-1-1-1-1-2000022-111-1-1-11111000000-20000200-2000011-1-10
χ152222-2-2-1-1-1-1110000222222-222-2-2-1-1-1-2-2-1-1-1111100002-21-1-111000000-1100000
χ162222-2-2-1-1-1-1110000222222-2-2-222-1-1-1-2-2-1-1-111110000-22111-1-10000001-100000
χ1722-2-22-222-2-22-22i−2i2i−2i00-1-11102−22−200-11-111-111-1-1i2i2−i2−i20002−22−20000i2−i200i−ii−i0
χ1822-2-22-222-2-22-22i−2i2i−2i00-1-1110−22−2200-11-111-111-1-1−i2−i2i2i2000−22−220000−i2i200i−ii−i0
χ1922-2-22-222-2-22-2−2i2i−2i2i00-1-11102−22−200-11-111-111-1-1−i2−i2i2i20002−22−20000−i2i200−ii−ii0
χ2022-2-22-222-2-22-2−2i2i−2i2i00-1-1110−22−2200-11-111-111-1-1i2i2−i2−i2000−22−220000i2−i200−ii−ii0
χ2122-2-2-2222-2-2-222i−2i−2i2i00-1-11102−2−2200-1-1111-1-1-111i2i2−i2−i20002−2−220000−i2i200i−i−ii0
χ2222-2-2-2222-2-2-222i−2i−2i2i00-1-1110−222−200-1-1111-1-1-111−i2−i2i2i2000−222−20000i2−i200i−i−ii0
χ2322-2-2-2222-2-2-22−2i2i2i−2i00-1-11102−2−2200-1-1111-1-1-111−i2−i2i2i20002−2−220000i2−i200−iii−i0
χ2422-2-2-2222-2-2-22−2i2i2i−2i00-1-1110−222−200-1-1111-1-1-111i2i2−i2−i2000−222−20000−i2i200−iii−i0
χ252-2-22002-2-22000000-222-22-2000002-22002-2-200002-22-2000000002-20000000000
χ262-2-22002-2-22000000-222-22-2000002-22002-2-20000-22-2200000000-220000000000
χ273333333333333333-1-10000-11111-1-100000000001111-1-1-11111-1-1-1-111-1-10000-1
χ283333333333333333-1-10000-1-1-1-1-1-1-10000000000-1-1-1-111-1-1-1-1-1-111-1-1-11100001
χ29333333333333-3-3-3-3-1-10000-11111-1-10000000000-1-1-1-1-1-1-111111111-1-1-1-100001
χ30333333333333-3-3-3-3-1-10000-1-1-1-1-1-1-10000000000111111-1-1-1-1-11-1-1111110000-1
χ313333-3-33333-3-333-3-3-1-10000111-1-1-1-100000000001111-11111-1-11-1-1-1-1-1-1100001
χ323333-3-33333-3-333-3-3-1-100001-1-111-1-10000000000-1-1-1-11-11-1-111111-1111-10000-1
χ333333-3-33333-3-3-3-333-1-10000111-1-1-1-10000000000-1-1-1-1-11111-1-1-111111-110000-1
χ343333-3-33333-3-3-3-333-1-100001-1-111-1-1000000000011111-11-1-111-1-1-11-1-11-100001
χ35444444-2-2-2-2-2-2000044-2-2-2-240000-2-21-2-21111111000000-200000000000000000
χ364444-4-4-2-2-2-222000044-2-2-2-2-40000-2-2122111-1-1-1-1000000200000000000000000
χ3744-4-44-444-4-44-44i−4i4i−4i0011-1-100000001-11-1-11-1-1110000000000000000000−ii−ii0
χ3844-4-44-444-4-44-4−4i4i−4i4i0011-1-100000001-11-1-11-1-1110000000000000000000i−ii−i0
χ3944-4-44-4-2-222-22000000-2-222022−2222−220012-2-1-11-1-1110000000−22−220000000000000
χ4044-4-44-4-2-222-22000000-2-2220−2222−22220012-2-1-11-1-11100000002−22−20000000000000
χ4144-4-4-4444-4-4-444i−4i−4i4i0011-1-1000000011-1-1-1111-1-10000000000000000000−iii−i0
χ4244-4-4-4444-4-4-44−4i4i4i−4i0011-1-1000000011-1-1-1111-1-10000000000000000000i−i−ii0
χ4344-4-4-44-2-2222-2000000-2-222022−22−2222001-22-1-1111-1-10000000−222−20000000000000
χ4444-4-4-44-2-2222-2000000-2-2220−222222−22001-22-1-1111-1-100000002−2−220000000000000
χ454-44-4004-44-400000000-222-20000000-2002-2200002i2−2i2−2i22i200000000000000000000
χ464-44-4004-44-400000000-222-20000000-2002-220000−2i22i22i2−2i200000000000000000000
χ474-4-44004-4-44000000-44-22-22000004-4-200-2220000000000000000000000000000
χ484-4-4400-222-2000000-444-44-400000-22-200-2220000000000000000000000000000
χ494-4-4400-222-2000000-44-22-2200000-221001-1-13-33-3000000000000000000000000
χ504-4-4400-222-2000000-44-22-2200000-221001-1-1-33-33000000000000000000000000
χ51666666-3-3-3-3-3-30000-2-20000-222221100000000000000-2-21-1-1-1-10000001100000
χ52666666-3-3-3-3-3-30000-2-20000-2-2-2-2-211000000000000002211111000000-1-100000
χ536666-6-6-3-3-3-3330000-2-20000222-2-21100000000000000-22-1-1-1110000001-100000
χ546666-6-6-3-3-3-3330000-2-200002-2-22211000000000000002-2-111-1-1000000-1100000
χ556-6-66006-6-660000002-2000000000-2200000000002-22-200000000-220000000000
χ566-6-66006-6-660000002-2000000000-220000000000-22-22000000002-20000000000
χ5788-8-88-8-4-444-4400000022-2-20000000-1-2211-111-1-1000000000000000000000000
χ5888-8-8-88-4-4444-400000022-2-20000000-12-211-1-1-111000000000000000000000000
χ598-88-8008-88-8000000002-2-220000000200-22-20000000000000000000000000000
χ608-88-800-44-44000000002-2-220000000-1001-113-3-33000000000000000000000000
χ618-88-800-44-44000000002-2-220000000-1001-11-333-3000000000000000000000000
χ628-88-800-44-4400000000-444-40000000200-22-20000000000000000000000000000
χ6312-12-121200-666-60000004-40000000002-20000000000000000000000000000000000

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