Finite Group Databasebeta

← Group #71035

Character table — Group #71035

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size11112222222244444448888888888881212121212121616162424242424
order1222344446664441212121248812121212122424242422888826644488
χ1111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1111-1-1-1-1-1
χ311111111111111111111-1-111111-1-1-1-111-1-1-1-1-1-1-1111-1-1
χ411111111111111111111-1-111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111-1-111111-1111-1-1-1-11111111111-1-1-11-1-1-1-1
χ6111111111111-1-111111-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ7111111111111-1-111111-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ8111111111111-1-111111-1-1-11-1-1-1-1-1-1-1-1-1-11111111-111-1-1
χ9222222-2-2222200-222-2-2000-200000000220000000-20000
χ10222222-2-2222200-222-2-2000-200000000-2-2000000020000
χ1122222-222-222222-2-2-222-200-222-2-2000000000000000000
χ1222222-222-2222-2-2-2-2-222200-2-2-222000000000000000000
χ1322222-2-2-2-2222002-2-2-2-200020000000000000000002-200
χ1422222-2-2-2-2222002-2-2-2-20002000000000000000000-2200
χ152222-12222-1-1-1222-1-1-1-1222-1-1-1-1-1-1-1-1-10000002-1-100000
χ162222-12222-1-1-1222-1-1-1-12-2-2-1-1-1-1-11111000000-21100000
χ172222-12222-1-1-1-2-22-1-1-1-1-222-11111-1-1-1-1000000-21100000
χ182222-12222-1-1-1-2-22-1-1-1-1-2-2-2-1111111110000002-1-100000
χ192222-1-222-2-1-1-122-211-1-1-2001-1-111−i3−i3i3i30000000−i3i300000
χ202222-1-222-2-1-1-122-211-1-1-2001-1-111i3i3−i3−i30000000i3−i300000
χ212222-1-222-2-1-1-1-2-2-211-1-1200111-1-1−i3−i3i3i30000000i3−i300000
χ222222-1-222-2-1-1-1-2-2-211-1-1200111-1-1i3i3−i3−i30000000−i3i300000
χ2322-2-22-20022-2-20002-2000−i2i200000−i2i2−i2i22-2−i2−i2i2i200000000
χ2422-2-22-20022-2-20002-2000−i2i200000−i2i2−i2i2-22i2i2−i2−i200000000
χ2522-2-22-20022-2-20002-2000i2−i200000i2−i2i2−i22-2i2i2−i2−i200000000
χ2622-2-22-20022-2-20002-2000i2−i200000i2−i2i2−i2-22−i2−i2i2i200000000
χ272-2-2220-220-22-22-2000-2200002-2000000002−22−20000002−2
χ282-2-2220-220-22-22-2000-2200002-200000000−22−22000000−22
χ292-2-2220-220-22-2-22000-220000-22000000002−22−2000000−22
χ302-2-2220-220-22-2-22000-220000-2200000000−22−220000002−2
χ314444-24-4-44-2-2-200-4-2-22200020000000000000000000000
χ324444-2-4-4-4-4-2-2-20042222000-20000000000000000000000
χ3344-4-44400-44-4-4000-440000000000000000000000000000
χ3444-4-4-2400-4-2220002-200000000006−6−6600000000000000
χ3544-4-4-2400-4-2220002-20000000000−666−600000000000000
χ3644-4-4-2-4004-222000-22000−2i22i200000i2−i2i2−i200000000000000
χ3744-4-4-2-4004-222000-220002i2−2i200000−i2i2−i2i200000000000000
χ384-44-440000-4-440000000000000000000002i−2i−2i2i00000000
χ394-44-440000-4-44000000000000000000000−2i2i2i−2i00000000
χ404-4-44404-40-44-4000004-400000000000000000000000000
χ414-4-44-204-402-2200000-2200000023−23000000000000000000
χ424-4-44-204-402-2200000-22000000−2323000000000000000000
χ434-4-44-20-4402-224-40002-20000-2200000000000000000000
χ444-4-44-20-4402-22-440002-200002-200000000000000000000
χ458-88-8-4000044-4000000000000000000000000000000000

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