Finite Group Databasebeta

← Group #11922241

Character table — Group #11922241

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222666688881212121212121212121212121212121212121616161616161616161624242424242436364848484872727272
order12222236666666444436662488881212121224242424242424243666666666226666246612124488
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
χ1722-2-22-22-2-222-2-222-22-22-2-22000000-22-220000000022-22-2-222-2-20000000000000000
χ1822-2-22-22-2-222-2-222-22-2-111-1000000-22-2200000000-1-11-111-1-11100000000−i3i3−i3i30000
χ1922-2-22-22-2-222-2-222-22-2-111-1000000-22-2200000000-1-11-111-1-11100000000i3−i3i3−i30000
χ2022-2-22-2-111-1-111-12-22-22-2-220000001-11-1−i3−i3i3i3−i3−i3i3i3-12-2-111-1-11100−i3i3−i3i30000000000
χ2122-2-22-2-111-1-111-12-22-22-2-220000001-11-1i3i3−i3−i3i3i3−i3−i3-12-2-111-1-11100i3−i3i3−i30000000000
χ2222-2-2-222-2-2-2-2222-222-22-2-22000000-2-222000000002-222-2-2-2-2220000000000000000
χ2322-2-2-222-2-2-2-2222-222-2-111-1000000-2-22200000000-11-1-11111-1-100000000−i3i3i3−i30000
χ2422-2-2-222-2-2-2-2222-222-2-111-1000000-2-22200000000-11-1-11111-1-100000000i3−i3−i3i30000
χ2522-2-2-22-11111-1-1-1-222-22-2-2200000011-1-1−i3−i3i3i3i3i3−i3−i3-1-22-11111-1-100−i3i3i3−i30000000000
χ2622-2-2-22-11111-1-1-1-222-22-2-2200000011-1-1i3i3−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
χ3744-4-44-4-222-2-222-24-44-4-222-20000002-22-2000000001-221-1-111-1-10000000000000000
χ3844-4-4-44-22222-2-2-2-444-4-222-200000022-2-20000000012-21-1-1-1-1110000000000000000
χ394-44-40044-40000-40000-22-220000−2i22i200000000−2i22i2−2i22i2-20022-200000000000000000000
χ404-44-40044-40000-40000-22-2200002i2−2i2000000002i2−2i22i2−2i2-20022-200000000000000000000
χ414-44-400-2-22−2i32i3−2i32i320000-22-220000−2i22i200006−66−6i2−i2i2−i2100-1-11−i3i3−i3i30000000000000000
χ424-44-400-2-22−2i32i3−2i32i320000-22-2200002i2−2i20000−66−66−i2i2−i2i2100-1-11−i3i3−i3i30000000000000000
χ434-44-400-2-222i3−2i32i3−2i320000-22-220000−2i22i20000−66−66i2−i2i2−i2100-1-11i3−i3i3−i30000000000000000
χ444-44-400-2-222i3−2i32i3−2i320000-22-2200002i2−2i200006−66−6−i2i2−i2i2100-1-11i3−i3i3−i30000000000000000
χ454-4-44004-440000-40000-2-22200−2i22i2000000−2i22i22i2−2i20000-2002-2200000000000000000000
χ464-4-44004-440000-40000-2-222002i2−2i20000002i2−2i2−2i22i20000-2002-2200000000000000000000
χ474-4-4400-22-2−2i32i32i3−2i320000-2-22200−2i22i2000000i2−i2−i2i26−6−66100-11-1−i3i3i3−i30000000000000000
χ484-4-4400-22-2−2i32i32i3−2i320000-2-222002i2−2i2000000−i2i2i2−i2−666−6100-11-1−i3i3i3−i30000000000000000
χ494-4-4400-22-22i3−2i3−2i32i320000-2-22200−2i22i2000000i2−i2−i2i2−666−6100-11-1i3−i3−i3i30000000000000000
χ504-4-4400-22-22i3−2i3−2i32i320000-2-222002i2−2i2000000−i2i2i2−i26−6−66100-11-1i3−i3−i3i30000000000000000
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
χ5566-6-66-66-6-666-6-66-22-2200000000002-22-20000000000000000000000000000000000
χ5666-6-66-6-333-3-333-3-22-220000000000-11-11−i3−i3i3i3−i3−i3i3i3000000000000i3−i3i3−i30000000000
χ5766-6-66-6-333-3-333-3-22-220000000000-11-11i3i3−i3−i3i3i3−i3−i3000000000000−i3i3−i3i30000000000
χ5866-6-6-666-6-6-6-66662-2-22000000000022-2-20000000000000000000000000000000000
χ5966-6-6-66-33333-3-3-32-2-220000000000-1-111−i3−i3i3i3i3i3−i3−i3000000000000i3−i3−i3i30000000000
χ6066-6-6-66-33333-3-3-32-2-220000000000-1-111i3i3−i3−i3−i3−i3i3i3000000000000−i3i3i3−i30000000000
χ618-88-80088-80000-800002-22-2000000000000000000200-2-2200000000000000000000
χ628-88-800-4-44−4i34i3−4i34i3400002-22-2000000000000000000-10011-1i3−i3i3−i30000000000000000
χ638-88-800-4-444i3−4i34i3−4i3400002-22-2000000000000000000-10011-1−i3i3−i3i30000000000000000
χ648-8-88008-880000-8000022-2-2000000000000000000200-22-200000000000000000000
χ658-8-8800-44-4−4i34i34i3−4i34000022-2-2000000000000000000-1001-11i3−i3−i3i30000000000000000
χ668-8-8800-44-44i3−4i3−4i34i34000022-2-2000000000000000000-1001-11−i3i3i3−i30000000000000000

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