Finite Group Databasebeta

← Group #11922119

Character table — Group #11922119

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222666688881212121212121212121212121212121212121616161616161616161624242424242436364848484872727272
order122222366666664444366624888812121212242424242424242436666666664412121212246612124488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1
χ31111111111111111111111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1111-1-1-1-11-1-11111111-111-1-11-1-111111-1-1-1-11-1-1111-1-1-1-11-111-1-1-1111-1-11-11-1
χ61111-1-1111-1-1-1-11-1-11111111-1-1-1111-1-11-1-1-1-111111-1-1111-1-1-1-1-11-1-111-1111-1-1-11-11
χ71111-1-1111-1-1-1-11-1-1111111-1111-1-11-1-111111-1-1-1-11-1-1111-1-1-1-11-111-1-11-1-1-111-11-11
χ81111-1-1111-1-1-1-11-1-1111111-11-1-1111-1-11-1-1-1-111111-1-1111-1-1-1-1-11-1-1111-1-1-1111-11-1
χ9222222222222222222-1-1-1-1220000222200000000-1-1-1-1-1-1-1-1-1-100000022-1-1-1-10000
χ10222222222222222222-1-1-1-1-2-20000222200000000-1-1-1-1-1-1-1-1-1-1000000-2-211110000
χ11222222-1-1-1-1-1-1-1-122222222002222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-122-1-1-1-10000000000
χ12222222-1-1-1-1-1-1-1-12222222200-2-2-2-2-1-1-1-111111111-122-1-1-1-1-1-1-1-2-211110000000000
χ132222-2-2222-2-2-2-22-2-222-1-1-1-12-200002-2-2200000000-111-1-1-11111000000-22-1-1110000
χ142222-2-2222-2-2-2-22-2-222-1-1-1-1-2200002-2-2200000000-111-1-1-111110000002-211-1-10000
χ152222-2-2-1-1-11111-1-2-22222220022-2-2-111-1-1-1-1-11111-1-2-2-1-1-111112-2-1-1110000000000
χ162222-2-2-1-1-11111-1-2-222222200-2-222-111-11111-1-1-1-1-1-2-2-1-1-11111-2211-1-10000000000
χ172-2-222-22-2-222-2-222-22-22-2-22000000-22-220000000022-22-2-222-2-20000000000000000
χ182-2-222-22-2-222-2-222-22-2-111-1000000-22-2200000000-1-11-111-1-11100000000−i3i3−i3i30000
χ192-2-222-22-2-222-2-222-22-2-111-1000000-22-2200000000-1-11-111-1-11100000000i3−i3i3−i30000
χ202-2-222-2-111-1-111-12-22-22-2-220000001-11-1−i3−i3i3i3−i3−i3i3i3-12-2-111-1-11100−i3i3−i3i30000000000
χ212-2-222-2-111-1-111-12-22-22-2-220000001-11-1i3i3−i3−i3i3i3−i3−i3-12-2-111-1-11100i3−i3i3−i30000000000
χ222-2-22-222-2-2-2-2222-222-22-2-22000000-2-222000000002-222-2-2-2-2220000000000000000
χ232-2-22-222-2-2-2-2222-222-2-111-1000000-2-22200000000-11-1-11111-1-100000000−i3i3i3−i30000
χ242-2-22-222-2-2-2-2222-222-2-111-1000000-2-22200000000-11-1-11111-1-100000000i3−i3−i3i30000
χ252-2-22-22-11111-1-1-1-222-22-2-2200000011-1-1−i3−i3i3i3i3i3−i3−i3-1-22-11111-1-100−i3i3i3−i30000000000
χ262-2-22-22-11111-1-1-1-222-22-2-2200000011-1-1i3i3−i3−i3−i3−i3i3i3-1-22-11111-1-100i3−i3−i3i30000000000
χ2733333333333333-1-1-1-10000331111-1-1-1-1111111110000000000-1-1-1-1-1-1-1-10000-1-111
χ2833333333333333-1-1-1-1000033-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000111111-1-1000011-1-1
χ2933333333333333-1-1-1-10000-3-31111-1-1-1-1111111110000000000-1-1-1-1-1-111000011-1-1
χ3033333333333333-1-1-1-10000-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000111111110000-1-111
χ313333-3-3333-3-3-3-3311-1-100003-311-1-1-111-11111-1-1-1-10000000000-11-1-1111-10000-111-1
χ323333-3-3333-3-3-3-3311-1-100003-3-1-111-111-1-1-1-1-1111100000000001-111-1-11-100001-1-11
χ333333-3-3333-3-3-3-3311-1-10000-3311-1-1-111-11111-1-1-1-10000000000-11-1-111-1100001-1-11
χ343333-3-3333-3-3-3-3311-1-10000-33-1-111-111-1-1-1-1-1111100000000001-111-1-1-110000-111-1
χ35444444-2-2-2-2-2-2-2-24444-2-2-2-2000000-2-2-2-2000000001-2-211111110000000000000000
χ364444-4-4-2-2-22222-2-4-444-2-2-2-2000000-222-200000000122111-1-1-1-10000000000000000
χ3744-4-40044-40000-40000-22-22000022−220000000022−2222−22-20022-200000000000000000000
χ3844-4-40044-40000-40000-22-220000−222200000000−2222−2222-20022-200000000000000000000
χ3944-4-400-2-22−2i32i3−2i32i320000-22-22000022−220000i6−i6i6−i6−22−22100-1-11−i3i3−i3i30000000000000000
χ4044-4-400-2-22−2i32i3−2i32i320000-22-220000−22220000−i6i6−i6i62−22−2100-1-11−i3i3−i3i30000000000000000
χ4144-4-400-2-222i3−2i32i3−2i320000-22-22000022−220000−i6i6−i6i6−22−22100-1-11i3−i3i3−i30000000000000000
χ4244-4-400-2-222i3−2i32i3−2i320000-22-220000−22220000i6−i6i6−i62−22−2100-1-11i3−i3i3−i30000000000000000
χ434-44-4004-440000-40000-2-2220022−2200000022−22−22220000-2002-2200000000000000000000
χ444-44-4004-440000-40000-2-22200−2222000000−222222−220000-2002-2200000000000000000000
χ454-44-400-22-2−2i32i32i3−2i320000-2-2220022−22000000−222−2i6−i6−i6i6100-11-1−i3i3i3−i30000000000000000
χ464-44-400-22-2−2i32i32i3−2i320000-2-22200−22220000002−2−22−i6i6i6−i6100-11-1−i3i3i3−i30000000000000000
χ474-44-400-22-22i3−2i3−2i32i320000-2-2220022−22000000−222−2−i6i6i6−i6100-11-1i3−i3−i3i30000000000000000
χ484-44-400-22-22i3−2i3−2i32i320000-2-22200−22220000002−2−22i6−i6−i6i6100-11-1i3−i3−i3i30000000000000000
χ494-4-444-4-222-2-222-24-44-4-222-20000002-22-2000000001-221-1-111-1-10000000000000000
χ504-4-44-44-22222-2-2-2-444-4-222-200000022-2-20000000012-21-1-1-1-1110000000000000000
χ51666666-3-3-3-3-3-3-3-3-2-2-2-200000022221111-1-1-1-1-1-1-1-10000000000-2-211110000000000
χ52666666-3-3-3-3-3-3-3-3-2-2-2-2000000-2-2-2-2111111111111000000000022-1-1-1-10000000000
χ536666-6-6-3-3-33333-322-2-200000022-2-21-1-11-1-1-1-111110000000000-2211-1-10000000000
χ546666-6-6-3-3-33333-322-2-2000000-2-2221-1-111111-1-1-1-100000000002-2-1-1110000000000
χ556-6-666-66-6-666-6-66-22-2200000000002-22-20000000000000000000000000000000000
χ566-6-666-6-333-3-333-3-22-220000000000-11-11−i3−i3i3i3−i3−i3i3i3000000000000i3−i3i3−i30000000000
χ576-6-666-6-333-3-333-3-22-220000000000-11-11i3i3−i3−i3i3i3−i3−i3000000000000−i3i3−i3i30000000000
χ586-6-66-666-6-6-6-66662-2-22000000000022-2-20000000000000000000000000000000000
χ596-6-66-66-33333-3-3-32-2-220000000000-1-111−i3−i3i3i3i3i3−i3−i3000000000000i3−i3−i3i30000000000
χ606-6-66-66-33333-3-3-32-2-220000000000-1-111i3i3−i3−i3−i3−i3i3i3000000000000−i3i3i3−i30000000000
χ6188-8-80088-80000-800002-22-2000000000000000000200-2-2200000000000000000000
χ6288-8-800-4-44−4i34i3−4i34i3400002-22-2000000000000000000-10011-1i3−i3i3−i30000000000000000
χ6388-8-800-4-444i3−4i34i3−4i3400002-22-2000000000000000000-10011-1−i3i3−i3i30000000000000000
χ648-88-8008-880000-8000022-2-2000000000000000000200-22-200000000000000000000
χ658-88-800-44-4−4i34i34i3−4i34000022-2-2000000000000000000-1001-11i3−i3−i3i30000000000000000
χ668-88-800-44-44i3−4i3−4i34i34000022-2-2000000000000000000-1001-11−i3i3i3−i30000000000000000

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