Finite Group Databasebeta

← Group #80698

Character table — Group #80698

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112222222222444444444444444444666688881212121212121616161624242424
order12223446668888246688121212122424242424242424444422444488886612124444
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-11-1-111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111
χ611111111111111-1-1-1-1-1-11-1-111111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1
χ711111111111111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1
χ811111111111111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111
χ91111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111-11-111-1-1-1-11-11-11-11-1
χ101111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-11-1111-1-1-1-1-11-11-11-11
χ111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111111-11-1-11-11
χ121111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-11-111-11-1
χ131111111111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1111111111-1-11-1-1-1-1111-1-11-111-1
χ141111111111-1-1-1-1-1-1-1-1111-1-11-1-1-1-111111111-111-1-1-1-1-111-111-11-1-11
χ151111111111-1-1-1-1-1-1-1-1111-1-11-1-1-1-11111-1-1-1-11-1-111111-1-11-1-111-1-11
χ161111111111-1-1-1-1-1-1-1-1111-1-11-1-1-1-11111-1-1-1-1-111-11111-1-1-111-1-111-1
χ1722222-2-222200002-22200-2-2-2-20000000022-2-20000-22000000000000
χ1822222-2-222200002-22200-2-2-2-200000000-2-22200002-2000000000000
χ1922222-2-22220000-22-2-200-222-20000000022-2-200002-2000000000000
χ2022222-2-22220000-22-2-200-222-200000000-2-2220000-22000000000000
χ212222-122-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-100002222000000-1-1-1-10000
χ222222-122-1-1-1222222-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000011110000
χ232222-122-1-1-12222-2-211-2-2-111-1-1-1-1-11111000022-2-2000000-1-1110000
χ242222-122-1-1-12222-2-211-2-2-111-1-1-1-1-111110000-2-22200000011-1-10000
χ252222-122-1-1-1-2-2-2-222-1-1-2-2-1-1-1-11111111100002-22-2000000-11-110000
χ262222-122-1-1-1-2-2-2-222-1-1-2-2-1-1-1-1111111110000-22-220000001-11-10000
χ272222-122-1-1-1-2-2-2-2-2-21122-111-11111-1-1-1-100002-2-22000000-111-10000
χ282222-122-1-1-1-2-2-2-2-2-21122-111-11111-1-1-1-10000-222-20000001-1-110000
χ292-22-222-2-22-222-2-2000000-200222-2-200002i−2i2i−2i0000002i−2i0000000000
χ302-22-222-2-22-222-2-2000000-200222-2-20000−2i2i−2i2i000000−2i2i0000000000
χ312-22-222-2-22-2-2-222000000-2002-2-22200002i−2i2i−2i000000−2i2i0000000000
χ322-22-222-2-22-2-2-222000000-2002-2-2220000−2i2i−2i2i0000002i−2i0000000000
χ332-22-22-22-22-2000000002i−2i200-200002i2i−2i−2i2i−2i−2i2i000000002-200000000
χ342-22-22-22-22-2000000002i−2i200-200002i2i−2i−2i−2i2i2i−2i00000000-2200000000
χ352-22-22-22-22-200000000−2i2i200-20000−2i−2i2i2i2i−2i−2i2i00000000-2200000000
χ362-22-22-22-22-200000000−2i2i200-20000−2i−2i2i2i−2i2i2i−2i000000002-200000000
χ374444-2-4-4-2-2-200004-4-2-2002222000000000000000000000000000000
χ384444-2-4-4-2-2-20000-4422002-2-22000000000000000000000000000000
χ3944-4-44004-4-422−2222−22000000000022−2222−2200000000000000000000000000
χ4044-4-44004-4-4−2222−22220000000000−2222−222200000000000000000000000000
χ4144-4-4-200-22222−2222−22000000023−230−22−226−66−60000000000000000000000
χ4244-4-4-200-22222−2222−220000000−23230−22−22−66−660000000000000000000000
χ4344-4-4-200-222−2222−2222000000023−2302−22−2−66−660000000000000000000000
χ4444-4-4-200-222−2222−22220000000−232302−22−26−66−60000000000000000000000
χ454-44-4-24-42-2244-4-4000000200-2-2-22200000000000000000000000000
χ464-44-4-24-42-22-4-444000000200-222-2-200000000000000000000000000
χ474-44-4-2-442-22000000004i−4i-20020000−2i−2i2i2i0000000000000000000000
χ484-44-4-2-442-2200000000−4i4i-200200002i2i−2i−2i0000000000000000000000
χ494-4-44400-4-4422−22−2222000000000022−22−222200000000000000000000000000
χ504-4-44400-4-44−222222−220000000000−222222−2200000000000000000000000000
χ514-4-44-20022-222−22−222200−2i32i3000000−222−2i6−i6−i6i60000000000000000000000
χ524-4-44-20022-222−22−2222002i3−2i3000000−222−2−i6i6i6−i60000000000000000000000
χ534-4-44-20022-2−222222−2200−2i32i30000002−2−22−i6i6i6−i60000000000000000000000
χ544-4-44-20022-2−222222−22002i3−2i30000002−2−22i6−i6−i6i60000000000000000000000

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