Finite Group Databasebeta

← Group #71299

Character table — Group #71299

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1111222222222244444444444444444412121212121212121616161616164848
order122234444446668888121212121212242424242424242488888888441212121244
χ1111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-11-1
χ611111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-11
χ711111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-11
χ811111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1111-1
χ92222222-2-2-2-222222-2-2-2-2-2-2222222-2-2-2-20000000000000000
χ102222222-2-2-2-2222-2-222-2-2-2-222-2-2-2-222220000000000000000
χ1122222-2-222-2-2222000022-2-2-2-200000000000022-2-200000000
χ1222222-2-222-2-2222000022-2-2-2-2000000000000-2-22200000000
χ1322222-2-2-2-2222220000-2-222-2-20000000022-2-2000000000000
χ1422222-2-2-2-2222220000-2-222-2-200000000-2-222000000000000
χ152222-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-100
χ162222-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2111100
χ172222-1222222-1-1-1-2-2-2-2-1-1-1-1-1-111111111000000002-2-1-11100
χ182222-1222222-1-1-1-2-2-2-2-1-1-1-1-1-11111111100000000-2211-1-100
χ192222-122-2-2-2-2-1-1-122-2-21111-1-1-1-1-1-111110000000000−i3i3−i3i300
χ202222-122-2-2-2-2-1-1-122-2-21111-1-1-1-1-1-111110000000000i3−i3i3−i300
χ212222-122-2-2-2-2-1-1-1-2-2221111-1-11111-1-1-1-10000000000−i3i3i3−i300
χ222222-122-2-2-2-2-1-1-1-2-2221111-1-11111-1-1-1-10000000000i3−i3−i3i300
χ2322-2-222-20000-2-22002-200002-2000022-2-2−i2i2−i2i2−i2i2−i2i200000000
χ2422-2-222-20000-2-22002-200002-2000022-2-2i2−i2i2−i2i2−i2i2−i200000000
χ2522-2-222-20000-2-2200-2200002-20000-2-222−i2i2−i2i2i2−i2i2−i200000000
χ2622-2-222-20000-2-2200-2200002-20000-2-222i2−i2i2−i2−i2i2−i2i200000000
χ2722-2-22-220000-2-222-2000000-2222-2-20000−i2i2i2−i2−i2i2i2−i200000000
χ2822-2-22-220000-2-222-2000000-2222-2-20000i2−i2−i2i2i2−i2−i2i200000000
χ2922-2-22-220000-2-22-22000000-22-2-2220000−i2i2i2−i2i2−i2−i2i200000000
χ3022-2-22-220000-2-22-22000000-22-2-2220000i2−i2−i2i2−i2i2i2−i200000000
χ314444-2-4-444-4-4-2-2-20000-2-22222000000000000000000000000
χ324444-2-4-4-4-444-2-2-2000022-2-222000000000000000000000000
χ3344-4-4-24-4000022-2004-40000-220000-2-2220000000000000000
χ3444-4-4-24-4000022-200-440000-22000022-2-20000000000000000
χ3544-4-4-2-44000022-24-40000002-2-2-22200000000000000000000
χ3644-4-4-2-44000022-2-440000002-222-2-200000000000000000000
χ374-44-4400004-44-4-40000004-400000000000000000000000000
χ384-44-440000-444-4-4000000-4400000000000000000000000000
χ394-44-4-200004-4-222000000-2200i6−i6i6−i6i6−i6i6−i60000000000000000
χ404-44-4-200004-4-222000000-2200−i6i6−i6i6−i6i6−i6i60000000000000000
χ414-44-4-20000-44-2220000002-200i6−i6i6−i6−i6i6−i6i60000000000000000
χ424-44-4-20000-44-2220000002-200−i6i6−i6i6i6−i6i6−i60000000000000000
χ434-4-444004-400-44-400004-40000000000000000000000000000
χ444-4-44400-4400-44-40000-440000000000000000000000000000
χ454-4-44-2004-4002-220000-220000i6−i6−i6i6i6−i6−i6i60000000000000000
χ464-4-44-2004-4002-220000-220000−i6i6i6−i6−i6i6i6−i60000000000000000
χ474-4-44-200-44002-2200002-20000i6−i6−i6i6−i6i6i6−i60000000000000000
χ484-4-44-200-44002-2200002-20000−i6i6i6−i6i6−i6−i6i60000000000000000

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