Finite Group Databasebeta

← Group #11713255

Character table — Group #11713255

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122224666688888812121616161616162424242424242424242424242424323232324848
order122244444224434466644121212121212224444444488881212121288
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ311111111111111-1-111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111-1-111-1111111-1111-1-1-1-1-1-1111-111-1-111-1-111-1-111-1-11-1
χ61111-1-111-1111111-1111-1-1-1-1-1-1111-1-1-111-1-111-1-11111-1-1-11
χ71111-1-111-111111-11111-1-1-1-1-1-111-1111-1-1-1-11111-1-1-1-111-11
χ81111-1-111-111111-11111-1-1-1-1-1-111-11-1-11111-1-1-1-111-1-1111-1
χ92222222222222-122-1-1-122-1-1-1-1-1-122000000000000-1-1-1-100
χ102222222222222-1-2-2-1-1-122-1-1-1-1-1-1-2-2000000000000111100
χ11222222-2-2-2-2-222200222-2222-2-2-2-200000000000000000000
χ12222222-2-2-2-2-222-100-1-1-1-22-1-1111100000000000000−i3i3−i3i300
χ13222222-2-2-2-2-222-100-1-1-1-22-1-1111100000000000000i3−i3i3−i300
χ142222-2-222-22222-12-2-1-1-1-2-21111-1-12-2000000000000-1-11100
χ152222-2-222-22222-1-22-1-1-1-2-21111-1-1-2200000000000011-1-100
χ162222-2-2-2-22-2-2222002222-2-2-222-2-200000000000000000000
χ172222-2-2-2-22-2-222-100-1-1-12-211-1-11100000000000000−i3i3i3−i300
χ182222-2-2-2-22-2-222-100-1-1-12-211-1-11100000000000000i3−i3−i3i300
χ192-2-22002-202-22-2200-2-220000002-2002i−2i0000002i−2i00000000
χ202-2-22002-202-22-2200-2-220000002-200−2i2i000000−2i2i00000000
χ212-2-2200-220-222-2200-2-22000000-2200002-20000002-2000000
χ222-2-2200-220-222-2200-2-22000000-220000-22000000-22000000
χ23333333333-1-1-1-1033000-1-1000000-1-11111-1-1-1-1-1-1-1-1000011
χ24333333333-1-1-1-1033000-1-1000000-1-1-1-1-1-1111111110000-1-1
χ25333333333-1-1-1-10-3-3000-1-10000001111111111-1-1-1-10000-1-1
χ26333333333-1-1-1-10-3-3000-1-100000011-1-1-1-1-1-1-1-11111000011
χ273333-3-333-3-1-1-1-103-300011000000-1111-1-1-1-111-1-11100001-1
χ283333-3-333-3-1-1-1-103-300011000000-11-1-11111-1-111-1-10000-11
χ293333-3-333-3-1-1-1-10-33000110000001-111-1-111-1-1-1-1110000-11
χ303333-3-333-3-1-1-1-10-33000110000001-1-1-111-1-11111-1-100001-1
χ3144-4-44-40000000-2002-22002-200000000002i−2i2i−2i0000000000
χ3244-4-44-40000000-2002-22002-20000000000−2i2i−2i2i0000000000
χ3344-4-4-440000000-2002-2200-2200000000002i−2i−2i2i0000000000
χ3444-4-4-440000000-2002-2200-220000000000−2i2i2i−2i0000000000
χ354-4-44004-404-44-4-20022-2000000-2200000000000000000000
χ364-4-4400-440-444-4-20022-20000002-200000000000000000000
χ37666666-6-6-622-2-20000002-200000000000000000000000000
χ386666-6-6-6-6622-2-2000000-2200000000000000000000000000
χ396-6-66006-60-22-2200000000000000002i−2i000000−2i2i00000000
χ406-6-66006-60-22-220000000000000000−2i2i0000002i−2i00000000
χ416-6-6600-6602-2-220000000000000000002-2000000-22000000
χ426-6-6600-6602-2-22000000000000000000-220000002-2000000
χ4388-8-88-80000000200-22-200-22000000000000000000000000
χ4488-8-8-880000000200-22-2002-2000000000000000000000000
χ458-88-80000000002002-2-20000−2i32i30000000000000000000000
χ468-88-80000000002002-2-200002i3−2i30000000000000000000000
χ478-88-8000000000-400-4440000000000000000000000000000

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