Finite Group Databasebeta

← Group #11922233

Character table — Group #11922233

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222224466666666888888881212121216161616161616162424242424242424242424242424242424242424363672727272
order1222223666662222444436666666121212123666666624666666666688121224242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-11111-1-111-1-1-1-1111111-1-1-1-11-1-111111-1-1-1-11-1111111-1-1-1-11-1-1-111-1-11-11-11-1
χ61111-1-11111-1-111-1-1-1-1111111-1-1-1-11-1-111111-1-1-1-1-11-1-11111-1-1-1-1-1111-1-1111-1-11-11
χ71111-1-11111-1-1-1-111-1-1111111-1-1-1-11-1-111111-1-1-1-11-111-1-1-1-111111-1-1-111-1-1-11-11-11
χ81111-1-11111-1-1-1-111-1-1111111-1-1-1-11-1-111111-1-1-1-1-11-1-1-1-1-1-11111-1111-1-111-111-11-1
χ922222222222222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-100000000220000
χ10222222222222-2-2-2-22222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100001111111100000000-2-20000
χ11222222-1-1-1-1-1-10000222222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-10000000022-1-1-1-1-1-1000000
χ12222222-1-1-1-1-1-10000222222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-21100000000-2-2111111000000
χ132222-2-22222-2-222-2-2-2-222-1-1-1-111112-2-22-1-1-1-111110000-1-1-1-11111000000002-20000
χ142222-2-22222-2-2-2-222-2-222-1-1-1-111112-2-22-1-1-1-1111100001111-1-1-1-100000000-220000
χ152222-2-2-1-1-1-1110000-2-2222222-2-2-2-2-111-1-1-1-1-111112-2-1-1000000002-211-1-111000000
χ162222-2-2-1-1-1-1110000-2-2222222-2-2-2-2-111-1-1-1-1-11111-221100000000-22-1-111-1-1000000
χ172-2-222-22-2-222-200002-22-222-2-222-2-2-22-2222-2-222-2-200000000000000000000000000
χ182-2-222-22-2-222-200002-22-2-1-111-1-111-22-22-1-111-1-1110000i3i3−i3−i3i3i3−i3−i300000000000000
χ192-2-222-22-2-222-200002-22-2-1-111-1-111-22-22-1-111-1-1110000−i3−i3i3i3−i3−i3i3i300000000000000
χ202-2-222-2-111-1-1100002-22-222-2-222-2-21-11-1-1-111-1-11100i3−i30000000000i3−i3i3−i3i3−i3000000
χ212-2-222-2-111-1-1100002-22-222-2-222-2-21-11-1-1-111-1-11100−i3i30000000000−i3i3−i3i3−i3i3000000
χ222-2-22-222-2-22-220000-222-222-2-2-2-222-2-22222-2-2-2-22200000000000000000000000000
χ232-2-22-222-2-22-220000-222-2-1-11111-1-1-2-222-1-11111-1-10000i3i3−i3−i3−i3−i3i3i300000000000000
χ242-2-22-222-2-22-220000-222-2-1-11111-1-1-2-222-1-11111-1-10000−i3−i3i3i3i3i3−i3−i300000000000000
χ252-2-22-22-111-11-10000-222-222-2-2-2-22211-1-1-1-11111-1-100i3−i30000000000−i3i3i3−i3−i3i3000000
χ262-2-22-22-111-11-10000-222-222-2-2-2-22211-1-1-1-11111-1-100−i3i30000000000i3−i3−i3i3i3−i3000000
χ273333333333333333-1-1-1-100000000-1-1-1-100000000111100000000-1-111-1-1-1-1-1-111-1-1
χ283333333333333333-1-1-1-100000000-1-1-1-100000000-1-1-1-10000000011-1-11111-1-1-1-111
χ29333333333333-3-3-3-3-1-1-1-100000000-1-1-1-100000000111100000000-1-111-1-1-1-111-1-111
χ30333333333333-3-3-3-3-1-1-1-100000000-1-1-1-100000000-1-1-1-10000000011-1-111111111-1-1
χ313333-3-33333-3-333-3-311-1-100000000-111-1000000001-11100000000-11-1-1-1-111-111-1-11
χ323333-3-33333-3-333-3-311-1-100000000-111-100000000-11-1-1000000001-11111-1-1-11-111-1
χ333333-3-33333-3-3-3-33311-1-100000000-111-1000000001-11100000000-11-1-1-1-1111-1-111-1
χ343333-3-33333-3-3-3-33311-1-100000000-111-100000000-11-1-1000000001-11111-1-11-11-1-11
χ35444444-2-2-2-2-2-200004444-2-2-2-2-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ364444-4-4-2-2-2-2220000-4-444-2-2-2-22222-222-21111-1-1-1-100000000000000000000000000
χ3744-4-40044-4-400004-400001-11-1i3−i3i3−i300001-11-1i3−i3i3−i30000i3−i3i3−i31-11-100000000000000
χ3844-4-40044-4-400004-400001-11-1−i3i3−i3i300001-11-1−i3i3−i3i30000−i3i3−i3i31-11-100000000000000
χ3944-4-40044-4-400004-40000-22-2200000000-22-22000000000000-22-2200000000000000
χ4044-4-40044-4-40000-4400001-11-1i3−i3i3−i300001-11-1i3−i3i3−i30000−i3i3−i3i3-11-1100000000000000
χ4144-4-40044-4-40000-4400001-11-1−i3i3−i3i300001-11-1−i3i3−i3i30000i3−i3i3−i3-11-1100000000000000
χ4244-4-40044-4-40000-440000-22-2200000000-22-220000000000002-22-200000000000000
χ434-44-4004-44-4004-40000001-1-11i3−i3−i3i300001-1-11i3−i3−i3i300001-1-11i3−i3−i3i300000000000000
χ444-44-4004-44-4004-40000001-1-11−i3i3i3−i300001-1-11−i3i3i3−i300001-1-11−i3i3i3−i300000000000000
χ454-44-4004-44-4004-4000000-222-200000000-222-200000000-222-2000000000000000000
χ464-44-4004-44-400-440000001-1-11i3−i3−i3i300001-1-11i3−i3−i3i30000-111-1−i3i3i3−i300000000000000
χ474-44-4004-44-400-440000001-1-11−i3i3i3−i300001-1-11−i3i3i3−i30000-111-1i3−i3−i3i300000000000000
χ484-44-4004-44-400-44000000-222-200000000-222-2000000002-2-22000000000000000000
χ494-4-444-4-222-2-2200004-44-4-2-222-2-2222-22-211-1-111-1-100000000000000000000000000
χ504-4-44-44-222-22-20000-444-4-2-22222-2-222-2-211-1-1-1-11100000000000000000000000000
χ51666666-3-3-3-3-3-30000-2-2-2-20000000011110000000022-1-100000000-2-2-1-11111000000
χ52666666-3-3-3-3-3-30000-2-2-2-200000000111100000000-2-211000000002211-1-1-1-1000000
χ536666-6-6-3-3-3-333000022-2-2000000001-1-11000000002-2-1-100000000-221111-1-1000000
χ546666-6-6-3-3-3-333000022-2-2000000001-1-1100000000-2211000000002-2-1-1-1-111000000
χ556-6-666-66-6-666-60000-22-22000000002-22-20000000000000000000000000000000000
χ566-6-666-6-333-3-330000-22-2200000000-11-110000000000i3−i30000000000i3−i3−i3i3−i3i3000000
χ576-6-666-6-333-3-330000-22-2200000000-11-110000000000−i3i30000000000−i3i3i3−i3i3−i3000000
χ586-6-66-666-6-66-6600002-2-220000000022-2-20000000000000000000000000000000000
χ596-6-66-66-333-33-300002-2-2200000000-1-1110000000000i3−i30000000000−i3i3−i3i3i3−i3000000
χ606-6-66-66-333-33-300002-2-2200000000-1-1110000000000−i3i30000000000i3−i3i3−i3−i3i3000000
χ6188-8-800-4-44400000000002-22-22i3−2i32i3−2i30000-11-11−i3i3−i3i300000000000000000000000000
χ6288-8-800-4-44400000000002-22-2−2i32i3−2i32i30000-11-11i3−i3i3−i300000000000000000000000000
χ6388-8-800-4-4440000000000-44-44000000002-22-2000000000000000000000000000000
χ648-88-800-44-4400000000002-2-222i3−2i3−2i32i30000-111-1−i3i3i3−i300000000000000000000000000
χ658-88-800-44-4400000000002-2-22−2i32i32i3−2i30000-111-1i3−i3−i3i300000000000000000000000000
χ668-88-800-44-440000000000-444-4000000002-2-22000000000000000000000000000000

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