Finite Group Databasebeta

← Group #80452

Character table — Group #80452

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1111222222444444444466888888888888812121212121212161624242424
order1222344666444488121212124424466812121224242424222248812124448
χ1111111111111111111111111111111111111111111111111
χ211111111111111111111-1-11111111111111-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111-1-11111111-1-111-1111-1-1-1-111-1-11-1-1-1-111-1-1
χ411111111111111-1-11111-1-11-1-111-1111-1-1-1-1-1-111-111-1-1-1-111
χ5111111111111-1-111-1-11111-11-1-1-1-1-11111-1-11-111-1111-1-11-1-1
χ6111111111111-1-111-1-111-1-1-11-1-1-1-1-11111-1-1-11-1-11-1-11-11-111
χ7111111111111-1-1-1-1-1-11111-1-11-1-11-111-1-1111-1-1-1-1-1-1-11-1111
χ8111111111111-1-1-1-1-1-111-1-1-1-11-1-11-111-1-111-1111111-111-1-1-1
χ91111111111-1-11111111111-1-1-1-1-111-1-1111111-1-1111-1-1-1-1-11
χ101111111111-1-111111111-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1111-1
χ111111111111-1-111-1-1111111-111-1-1-11-1-1-1-1-1-111111-1-111-1-11-1
χ121111111111-1-111-1-11111-1-1-111-1-1-11-1-1-1-1-1-1-1-1-1-1-1111111-11
χ131111111111-1-1-1-111-1-111111-1111-1-1-1-111-1-11-1-1-1-111-111-11-1
χ141111111111-1-1-1-111-1-111-1-11-1111-1-1-1-111-1-1-11111-1-1-11-11-11
χ151111111111-1-1-1-1-1-1-1-1111111-1111-1-1-1-1-1111-111-1-1-11-11-1-11
χ161111111111-1-1-1-1-1-1-1-111-1-111-1111-1-1-1-1-111-11-1-11111-1-111-1
χ1722222-2-2222002-20022-2-222000000-2000000-2200-200000000
χ1822222-2-2222002-20022-2-2-2-2000000-20000002-200200000000
χ1922222-2-222200-2200-2-2-2-2220000002000000-2-200200000000
χ2022222-2-222200-2200-2-2-2-2-2-200000020000002200-200000000
χ212222-122-1-1-1222222-1-1-1-100222-1-12-1-1-1-1-1-1-10000000-1-10000
χ222222-122-1-1-12222-2-2-1-1-1-1002-2-2-1-1-2-1-1-111110000000110000
χ232222-122-1-1-122-2-22211-1-100-22-211-21-1-1-1-1110000000-110000
χ242222-122-1-1-122-2-2-2-211-1-100-2-221121-1-111-1-100000001-10000
χ252222-122-1-1-1-2-22222-1-1-1-100-2-2-2112-111-1-1-1-10000000110000
χ262222-122-1-1-1-2-222-2-2-1-1-1-100-22211-2-11111110000000-1-10000
χ272222-122-1-1-1-2-2-2-22211-1-1002-22-1-1-2111-1-11100000001-10000
χ282222-122-1-1-1-2-2-2-2-2-211-1-10022-2-1-1211111-1-10000000-110000
χ292-22-222-2-2-222i−2i0000002-20000000002i−2i0000002-202i−2i000000
χ302-22-222-2-2-222i−2i0000002-20000000002i−2i000000-220−2i2i000000
χ312-22-222-2-2-22−2i2i0000002-2000000000−2i2i0000002-20−2i2i000000
χ322-22-222-2-2-22−2i2i0000002-2000000000−2i2i000000-2202i−2i000000
χ334444-2-4-4-2-2-2004-400-2-2220000000020000000000000000000
χ344444-2-4-4-2-2-200-4400222200000000-20000000000000000000
χ3544-4-4400-44-40000−2i22i2000000000000000−2i22i2000000000000000
χ3644-4-4400-44-400002i2−2i20000000000000002i2−2i2000000000000000
χ3744-4-4-2002-220000−2i22i2−2i32i30000000000000i2−i26−60000000000000
χ3844-4-4-2002-220000−2i22i22i3−2i30000000000000i2−i2−660000000000000
χ3944-4-4-2002-2200002i2−2i2−2i32i30000000000000−i2i2−660000000000000
χ4044-4-4-2002-2200002i2−2i22i3−2i30000000000000−i2i26−60000000000000
χ414-44-44-44-4-4400000000-440000000000000000000000000000
χ424-44-4-24-422-24i−4i000000-22000000000−2i2i00000000000000000
χ434-44-4-24-422-2−4i4i000000-220000000002i−2i00000000000000000
χ444-44-4-2-4422-2000000002-200000−2i32i3000000000000000000000
χ454-44-4-2-4422-2000000002-2000002i3−2i3000000000000000000000
χ464-4-444004-4-400000000004i−4i00000000000000000000000000
χ474-4-444004-4-40000000000−4i4i00000000000000000000000000
χ488-8-88-400-44400000000000000000000000000000000000000

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