Finite Group Databasebeta

← Group #11713884

Character table — Group #11713884

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111224466668888881212161616161616242424242424242424243232323248484848
order122244882244344666881212242424242444448888121212122488
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
χ5111111-1-1111111-1111-1-111-1-1-1-11-111-1-1-1-111-1-1111-11-1
χ6111111-1-1111111-1111-1-111-1-1-1-11-1-1-11111-1-1-1-111-11-11
χ7111111-1-111111-11111-1-111-1-1-1-1-1111-1-1-1-11111-1-1-11-11
χ8111111-1-111111-11111-1-111-1-1-1-1-11-1-11111-1-111-1-11-11-1
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
χ11222222-2-22222-12-2-1-1-1-2-2-1-111112-20000000011-1-10000
χ12222222-2-22222-1-22-1-1-1-2-2-1-11111-2200000000-1-1110000
χ132222-2-200-2-22220022200-2-20000002-200002-200000000
χ142222-2-200-2-22220022200-2-2000000-220000-2200000000
χ1522-2-22-2002-22-2200-2-2200-22000000002i−2i2i−2i0000000000
χ1622-2-22-2002-22-2200-2-2200-2200000000−2i2i−2i2i0000000000
χ1722-2-2-222i−2i-222-2200-2-222i−2i2-22i2i−2i−2i000000000000000000
χ1822-2-2-222i−2i-222-2-10011-12i−2i-11−i−iii00000000003−3−i3i30000
χ1922-2-2-222i−2i-222-2-10011-12i−2i-11−i−iii0000000000−33i3−i30000
χ2022-2-2-22−2i2i-222-2200-2-22−2i2i2-2−2i−2i2i2i000000000000000000
χ2122-2-2-22−2i2i-222-2-10011-1−2i2i-11ii−i−i00000000003−3i3−i30000
χ2222-2-2-22−2i2i-222-2-10011-1−2i2i-11ii−i−i0000000000−33−i3i30000
χ2333333333-1-1-1-1033000-1-1000000-1-111-1-111-1-1000011-1-1
χ2433333333-1-1-1-1033000-1-1000000-1-1-1-111-1-1110000-1-111
χ2533333333-1-1-1-10-3-3000-1-10000001111-1-111-1-10000-1-111
χ2633333333-1-1-1-10-3-3000-1-100000011-1-111-1-111000011-1-1
χ27333333-3-3-1-1-1-103-300011000000-111111-1-1-1-100001-1-11
χ28333333-3-3-1-1-1-103-300011000000-11-1-1-1-111110000-111-1
χ29333333-3-3-1-1-1-10-33000110000001-11111-1-1-1-10000-111-1
χ30333333-3-3-1-1-1-10-33000110000001-1-1-1-1-1111100001-1-11
χ314444-4-400-4-444-200-2-2-200220000000000000000000000
χ3244-4-44-4004-44-4-20022-2002-20000000000000000000000
χ336666-6-60022-2-200000000000000002-20000-2200000000
χ346666-6-60022-2-20000000000000000-2200002-200000000
χ3566-6-66-600-22-220000000000000000002i−2i−2i2i0000000000
χ3666-6-66-600-22-22000000000000000000−2i2i2i−2i0000000000
χ3766-6-6-666i−6i2-2-22000000−2i2i000000000000000000000000
χ3866-6-6-66−6i6i2-2-220000002i−2i000000000000000000000000
χ398-88-8000000002002-2-20000i6−i6i6−i6000000000000000000
χ408-88-8000000002002-2-20000−i6i6−i6i6000000000000000000
χ418-88-800000000-400-44400000000000000000000000000
χ428-8-8800000000200-22-200006−6−66000000000000000000
χ438-8-8800000000200-22-20000−666−6000000000000000000
χ448-8-8800000000-4004-4400000000000000000000000000

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