Finite Group Databasebeta

← Group #11713674

Character table — Group #11713674

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111224466668888881212161616161616242424242424242424243232323248484848
order122244442244344666441212121212124444448888121212124488
χ111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111-1-111111111111-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1111111-1111-1-111-1-1-1-1-1111-1-111-1-111-1-11-11-1
χ6111111-1-1111111-1111-1-111-1-1-1-1-11-1-111-1-11111-1-1-11-11
χ7111111-1-111111-11111-1-111-1-1-1-11-111-1-111-1-1-1-111-11-11
χ8111111-1-111111-11111-1-111-1-1-1-11-1-1-111-1-111-1-1111-11-1
χ9222222222222-122-1-1-122-1-1-1-1-1-12200000000-1-1-1-10000
χ10222222222222-1-2-2-1-1-122-1-1-1-1-1-1-2-20000000011110000
χ11222222-2-22222-12-2-1-1-1-2-2-1-11111-2200000000-1-1110000
χ12222222-2-22222-1-22-1-1-1-2-2-1-111112-20000000011-1-10000
χ132222-2-22-2-2-222200222-22-2-222-2-2000000000000000000
χ142222-2-22-2-2-222-100-1-1-1-2211-1-1110000000000−i3i3−i3i30000
χ152222-2-22-2-2-222-100-1-1-1-2211-1-1110000000000i3−i3i3−i30000
χ162222-2-2-22-2-2222002222-2-2-2-2-222000000000000000000
χ172222-2-2-22-2-222-100-1-1-12-21111-1-10000000000−i3i3i3−i30000
χ182222-2-2-22-2-222-100-1-1-12-21111-1-10000000000i3−i3−i3i30000
χ1922-2-22-2002-22-22002-2-2002-2000000002-2002-200000000
χ2022-2-22-2002-22-22002-2-2002-200000000-2200-2200000000
χ2122-2-2-2200-222-22002-2-200-220000002-2002-20000000000
χ2222-2-2-2200-222-22002-2-200-22000000-2200-220000000000
χ2333333333-1-1-1-1033000-1-1000000-1-11111-1-1-1-10000-1-111
χ2433333333-1-1-1-1033000-1-1000000-1-1-1-1-1-11111000011-1-1
χ2533333333-1-1-1-10-3-3000-1-1000000111111-1-1-1-1000011-1-1
χ2633333333-1-1-1-10-3-3000-1-100000011-1-1-1-111110000-1-111
χ27333333-3-3-1-1-1-103-3000110000001-111-1-1-1-1110000-111-1
χ28333333-3-3-1-1-1-103-3000110000001-1-1-11111-1-100001-1-11
χ29333333-3-3-1-1-1-10-3300011000000-1111-1-1-1-11100001-1-11
χ30333333-3-3-1-1-1-10-3300011000000-11-1-11111-1-10000-111-1
χ3144-4-44-4004-44-4-200-22200-220000000000000000000000
χ3244-4-4-4400-444-4-200-222002-20000000000000000000000
χ336666-6-66-622-2-20000002-2000000000000000000000000
χ346666-6-6-6622-2-2000000-22000000000000000000000000
χ3566-6-66-600-22-220000000000000000002-200-2200000000
χ3666-6-66-600-22-22000000000000000000-22002-200000000
χ3766-6-6-66002-2-2200000000000000002-200-220000000000
χ3866-6-6-66002-2-220000000000000000-22002-20000000000
χ398-88-800000000200-22-200000023−23000000000000000000
χ408-88-800000000200-22-2000000−2323000000000000000000
χ418-88-800000000-4004-4400000000000000000000000000
χ428-8-8800000000200-2-22000023−2300000000000000000000
χ438-8-8800000000200-2-220000−232300000000000000000000
χ448-8-8800000000-40044-400000000000000000000000000

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