Finite Group Databasebeta

← Group #10949933

Character table — Group #10949933

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1122222222222224444444444444444488888888888816161616161616161616161624242424242424242424242424242424
order1222234444666886688888881212121224242424441212121224242424242444441212121212121212224488881616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911-1-111-1-11111111-1-11-1-111-1-1-1-11111111-111-1-1-1-111-1-11-11-111-1-111-1-11-11-111-1-111-1-111-1-1
χ1011-1-111-1-11111111-1-11-1-111-1-1-1-11111111-111-1-1-1-111-1-11-11-111-1-111-1-1-11-11-1-111-1-111-1-111
χ1111-1-111-1-11111111-1-11-1-111-1-1-1-11111111-111-1-1-1-111-1-1-11-11-1-111-1-1111-11-111-1-1-1-111-1-111
χ1211-1-111-1-11111111-1-11-1-111-1-1-1-11111111-111-1-1-1-111-1-1-11-11-1-111-1-111-11-11-1-11111-1-111-1-1
χ1311-1-111-1-11111111-1-11-1-1-1-111-1-1111111-11-1-111-1-1-1-1111-1-1111-1-1-1-1111-11-1-1-11111-1-1-1-111
χ1411-1-111-1-11111111-1-11-1-1-1-111-1-1111111-11-1-111-1-1-1-1111-1-1111-1-1-1-111-11-1111-1-1-1-11111-1-1
χ1511-1-111-1-11111111-1-11-1-1-1-111-1-1111111-11-1-111-1-1-1-111-111-1-1-11111-1-11-11-1-1-111-1-11111-1-1
χ1611-1-111-1-11111111-1-11-1-1-1-111-1-1111111-11-1-111-1-1-1-111-111-1-1-11111-1-1-11-1111-1-111-1-1-1-111
χ172222222222222-2-222-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000
χ182222222222222-2-222-2-2-2-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-20000000000000000000000000000
χ1922222-12222-1-1-122-1-12222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ2022222-12222-1-1-122-1-12222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ2122222-12222-1-1-122-1-1222-2-2-2-2-1-1-1-1-1-1-1-1-2-21111-1-1111122-2-2-1-1-1-111110000000000000000
χ2222222-12222-1-1-122-1-1222-2-2-2-2-1-1-1-1-1-1-1-1-2-21111-1-11111-2-2221111-1-1-1-10000000000000000
χ2322222-12222-1-1-1-2-2-1-1-2-2-22222-1-1-1-11111-2-2111111-1-1-1-10000−i3i3−i3i3−i3i3−i3i30000000000000000
χ2422222-12222-1-1-1-2-2-1-1-2-2-22222-1-1-1-11111-2-2111111-1-1-1-10000i3−i3i3−i3i3−i3i3−i30000000000000000
χ2522222-12222-1-1-1-2-2-1-1-2-2-2-2-2-2-2-1-1-1-1111122-1-1-1-11111110000−i3i3−i3i3i3−i3i3−i30000000000000000
χ2622222-12222-1-1-1-2-2-1-1-2-2-2-2-2-2-2-1-1-1-1111122-1-1-1-11111110000i3−i3i3−i3−i3i3−i3i30000000000000000
χ27222-2-222-22-22-2-2222-2-22-200002-22-222-2-20000002-2000000000000000000002i−2i2i−2i00000000
χ28222-2-222-22-22-2-2222-2-22-200002-22-222-2-20000002-200000000000000000000−2i2i−2i2i00000000
χ29222-2-222-22-22-2-2-2-22-22-2200002-22-2-2-222000000-22000000000000000022-2-2000000000000
χ30222-2-222-22-22-2-2-2-22-22-2200002-22-2-2-222000000-220000000000000000-2-222000000000000
χ31222-2-22-22-222-2-2002-20002-22-2-22-220000000000002-22-200000000000000000000−i2i2−i2i2−i2i2−i2i2
χ32222-2-22-22-222-2-2002-20002-22-2-22-220000000000002-22-200000000000000000000i2−i2i2−i2i2−i2i2−i2
χ33222-2-22-22-222-2-2002-2000-22-22-22-22000000000000-22-2200000000000000000000−i2i2−i2i2i2−i2i2−i2
χ34222-2-22-22-222-2-2002-2000-22-22-22-22000000000000-22-2200000000000000000000i2−i2i2−i2−i2i2−i2i2
χ3522-22-222-2-222-2-200-220002-2-222-2-220000000000002-2-2200000000000000000000−i2i2i2−i2−i2i2i2−i2
χ3622-22-222-2-222-2-200-220002-2-222-2-220000000000002-2-2200000000000000000000i2−i2−i2i2i2−i2−i2i2
χ3722-22-222-2-222-2-200-22000-222-22-2-22000000000000-222-200000000000000000000−i2i2i2−i2i2−i2−i2i2
χ3822-22-222-2-222-2-200-22000-222-22-2-22000000000000-222-200000000000000000000i2−i2−i2i2−i2i2i2−i2
χ3922-22-22-222-22-2-222-22-2-220000-222-222-2-2000000-22000000000000000000002i−2i−2i2i00000000
χ4022-22-22-222-22-2-222-22-2-220000-222-222-2-2000000-2200000000000000000000−2i2i2i−2i00000000
χ4122-22-22-222-22-2-2-2-2-2222-20000-222-2-2-2220000002-200000000000000002-2-22000000000000
χ4222-22-22-222-22-2-2-2-2-2222-20000-222-2-2-2220000002-20000000000000000-222-2000000000000
χ4322-2-222-2-222222-2-2-2-2-22222-2-2-2-222-2-2-2-2-22-2-2222222-2-20000000000000000000000000000
χ4422-2-222-2-222222-2-2-2-2-222-2-222-2-222-2-2-2-22-222-2-222-2-2220000000000000000000000000000
χ4522-2-22-1-2-222-1-1-122112-2-222-2-211-1-1-1-1-1-12-2-1-11111-1-1112-22-2-1-111-1-1110000000000000000
χ4622-2-22-1-2-222-1-1-122112-2-222-2-211-1-1-1-1-1-12-2-1-11111-1-111-22-2211-1-111-1-10000000000000000
χ4722-2-22-1-2-222-1-1-122112-2-2-2-22211-1-1-1-1-1-1-2211-1-11111-1-12-2-22-1-11111-1-10000000000000000
χ4822-2-22-1-2-222-1-1-122112-2-2-2-22211-1-1-1-1-1-1-2211-1-11111-1-1-222-211-1-1-1-1110000000000000000
χ4922-2-22-1-2-222-1-1-1-2-211-22222-2-211-1-11111-2211-1-1-1-1-1-1110000−i3i3i3−i3−i3i3i3−i30000000000000000
χ5022-2-22-1-2-222-1-1-1-2-211-22222-2-211-1-11111-2211-1-1-1-1-1-1110000i3−i3−i3i3i3−i3−i3i30000000000000000
χ5122-2-22-1-2-222-1-1-1-2-211-222-2-22211-1-111112-2-1-111-1-111-1-10000−i3i3i3−i3i3−i3−i3i30000000000000000
χ5222-2-22-1-2-222-1-1-1-2-211-222-2-22211-1-111112-2-1-111-1-111-1-10000i3−i3−i3i3−i3i3i3−i30000000000000000
χ53444444-4-4-4-444400440000000-4-4-4-400000000000000000000000000000000000000000000
χ5444444-2-4-4-4-4-2-2-200-2-200000002222000000−2i32i3−2i32i30000000000000000000000000000000000
χ5544444-2-4-4-4-4-2-2-200-2-2000000022220000002i3−2i32i3−2i30000000000000000000000000000000000
χ56444-4-4-24-44-4-22244-22-44-40000-22-22-2-222000000-2200000000000000000000000000000000
χ57444-4-4-24-44-4-222-4-4-224-440000-22-2222-2-20000002-200000000000000000000000000000000
χ58444-4-4-2-44-44-22200-220004-44-42-22-2000000000000-22-220000000000000000000000000000
χ59444-4-4-2-44-44-22200-22000-44-442-22-20000000000002-22-20000000000000000000000000000
χ6044-44-4-24-4-44-222002-20004-4-44-222-2000000000000-222-20000000000000000000000000000
χ6144-44-4-24-4-44-222002-2000-444-4-222-20000000000002-2-220000000000000000000000000000
χ6244-44-4-2-444-4-222442-2-4-4400002-2-22-2-2220000002-200000000000000000000000000000000
χ6344-44-4-2-444-4-222-4-42-244-400002-2-2222-2-2000000-2200000000000000000000000000000000
χ6444-4-44444-4-444400-4-4000000044-4-400000000000000000000000000000000000000000000
χ6544-4-44-244-4-4-2-2-200220000000-2-222000000−2i32i32i3−2i30000000000000000000000000000000000
χ6644-4-44-244-4-4-2-2-200220000000-2-2220000002i3−2i3−2i32i30000000000000000000000000000000000
χ678-800080000-800−4i24i20000000000000−4i24i2000000000000000000000000000000000000000000
χ688-800080000-8004i2−4i200000000000004i2−4i2000000000000000000000000000000000000000000
χ698-8000-400004−4i34i3−4i24i200000000000002i2−2i226−260000000000000000000000000000000000000000
χ708-8000-400004−4i34i34i2−4i20000000000000−2i22i2−26260000000000000000000000000000000000000000
χ718-8000-4000044i3−4i3−4i24i200000000000002i2−2i2−26260000000000000000000000000000000000000000
χ728-8000-4000044i3−4i34i2−4i20000000000000−2i22i226−260000000000000000000000000000000000000000

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