Finite Group Databasebeta

← Group #10849381

Character table — Group #10849381

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222222222244444444444444488888888888888888888888816161616161624242424242424242424242424242424
order122222222234466666664444444666612121212244444661212121212121212121212121212121244121212122244444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1
χ911111111111-1-11111111-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-11-11-11-11-111-1-111-1-1
χ1011111111111-1-11111111-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-111-1-1-11-11-11-11-1-111-1-111
χ1111111111111-1-11111111-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-11-1-1111-11-11-11-1-1-111-1-111
χ1211111111111-1-11111111-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-11-1-111-11-11-11-1111-1-111-1-1
χ1311111111111-1-11111111-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-11-1-1111-11-1-11-1111-1-1-1-111
χ1411111111111-1-11111111-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-11-1-111-11-111-11-1-1-11111-1-1
χ1511111111111-1-11111111-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111111-111-1-11-11-1-11-11-1-11111-1-1
χ1611111111111-1-11111111-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111111-111-1-1-11-111-11-111-1-1-1-111
χ172222222222-122-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000000000000000
χ182222222222-122-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-2-211110000000000000000
χ192222222222-122-1-1-1-1-1-1-1222-2-2-2-2-1-1-1-1-1-1-1-1-2-222221111-1-11111-1-1-1-1-1-1-1-1-2-211110000000000000000
χ202222222222-122-1-1-1-1-1-1-1222-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-1-111111111111122-1-1-1-10000000000000000
χ212222222222-1-2-2-1-1-1-1-1-1-1-2-2-22222-1-1-1-11111-2-222-2-2111111-1-1-1-1-1-1-1-111112-2-1-1110000000000000000
χ222222222222-1-2-2-1-1-1-1-1-1-1-2-2-22222-1-1-1-11111-2-2-2-222111111-1-1-1-11111-1-1-1-1-2211-1-10000000000000000
χ232222222222-1-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-1-1-1-111112222-2-2-1-1-1-1111111-1-1-1-11111-2211-1-10000000000000000
χ242222222222-1-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-1-1-1-1111122-2-222-1-1-1-11111111111-1-1-1-12-2-1-1110000000000000000
χ25222222-2-2-2-222222222222-2-222-2-2-2-2-2-222222-2000022-2-2-2-222-2-2000000000000000000000000000000
χ26222222-2-2-2-222222222222-2-2-2-222-2-2-2-22222-220000-2-222-2-2-2-222000000000000000000000000000000
χ27222222-2-2-2-22-2-22222222-22222-2-2-2-2-2-2-2-2-2-2-220000-2-2222222-2-2000000000000000000000000000000
χ28222222-2-2-2-22-2-22222222-222-2-222-2-2-2-2-2-2-2-22-2000022-2-222-2-222000000000000000000000000000000
χ29222222-2-2-2-2-122-1-1-1-1-1-1-12-2-222-2-21111-1-1-1-12-20000-1-11111-1-111−i3−i3i3i3−i3−i3i3i300−i3i3−i3i30000000000000000
χ30222222-2-2-2-2-122-1-1-1-1-1-1-12-2-222-2-21111-1-1-1-12-20000-1-11111-1-111i3i3−i3−i3i3i3−i3−i300i3−i3i3−i30000000000000000
χ31222222-2-2-2-2-122-1-1-1-1-1-1-12-2-2-2-2221111-1-1-1-1-22000011-1-11111-1-1−i3−i3i3i3−i3−i3i3i300i3−i3i3−i30000000000000000
χ32222222-2-2-2-2-122-1-1-1-1-1-1-12-2-2-2-2221111-1-1-1-1-22000011-1-11111-1-1i3i3−i3−i3i3i3−i3−i300−i3i3−i3i30000000000000000
χ33222222-2-2-2-2-1-2-2-1-1-1-1-1-1-1-22222-2-211111111-22000011-1-1-1-1-1-111−i3−i3i3i3i3i3−i3−i300−i3i3i3−i30000000000000000
χ34222222-2-2-2-2-1-2-2-1-1-1-1-1-1-1-22222-2-211111111-22000011-1-1-1-1-1-111i3i3−i3−i3−i3−i3i3i300i3−i3−i3i30000000000000000
χ35222222-2-2-2-2-1-2-2-1-1-1-1-1-1-1-222-2-222111111112-20000-1-111-1-111-1-1−i3−i3i3i3i3i3−i3−i300i3−i3−i3i30000000000000000
χ36222222-2-2-2-2-1-2-2-1-1-1-1-1-1-1-222-2-222111111112-20000-1-111-1-111-1-1i3i3−i3−i3−i3−i3i3i300−i3i3i3−i30000000000000000
χ372222-2-222-2-2222-2-22-2-222-22-2000022-2-222-2-200000000002-2000000000000000000000022-2-200000000
χ382222-2-222-2-2222-2-22-2-222-22-2000022-2-222-2-200000000002-20000000000000000000000-2-22200000000
χ392222-2-222-2-22-2-2-2-22-2-2222-22000022-2-2-2-2220000000000-2200000000000000000000002-2-2200000000
χ402222-2-222-2-22-2-2-2-22-2-2222-22000022-2-2-2-2220000000000-220000000000000000000000-222-200000000
χ412222-2-2-2-222222-2-22-2-222-2-220000-2-22222-2-20000000000-2200000000000000000022-2-2000000000000
χ422222-2-2-2-222222-2-22-2-222-2-220000-2-22222-2-20000000000-22000000000000000000-2-222000000000000
χ432222-2-2-2-2222-2-2-2-22-2-22222-20000-2-222-2-22200000000002-20000000000000000002-2-22000000000000
χ442222-2-2-2-2222-2-2-2-22-2-22222-20000-2-222-2-22200000000002-2000000000000000000-222-2000000000000
χ4522-2-2-222-22-2200-2-2222-2-20002i−2i2i−2i2-22-200000000000000002i−2i2i−2i0000000000000000000000002i−2i002-2
χ4622-2-2-222-22-2200-2-2222-2-20002i−2i2i−2i2-22-200000000000000002i−2i2i−2i000000000000000000000000−2i2i00-22
χ4722-2-2-222-22-2200-2-2222-2-2000−2i2i−2i2i2-22-20000000000000000−2i2i−2i2i0000000000000000000000002i−2i00-22
χ4822-2-2-222-22-2200-2-2222-2-2000−2i2i−2i2i2-22-20000000000000000−2i2i−2i2i000000000000000000000000−2i2i002-2
χ4922-2-2-22-22-22200-2-2222-2-20002i−2i−2i2i-22-2200000000000000002i−2i−2i2i00000000000000000000002i−2i002-200
χ5022-2-2-22-22-22200-2-2222-2-20002i−2i−2i2i-22-2200000000000000002i−2i−2i2i0000000000000000000000−2i2i00-2200
χ5122-2-2-22-22-22200-2-2222-2-2000−2i2i2i−2i-22-220000000000000000−2i2i2i−2i00000000000000000000002i−2i00-2200
χ5222-2-2-22-22-22200-2-2222-2-2000−2i2i2i−2i-22-220000000000000000−2i2i2i−2i0000000000000000000000−2i2i002-200
χ534444-4-444-4-4-24422-222-2-2-44-40000-2-222-2-2220000000000-220000000000000000000000000000000000
χ544444-4-444-4-4-2-4-422-222-2-24-440000-2-22222-2-200000000002-20000000000000000000000000000000000
χ554444-4-4-4-444-24422-222-2-2-4-44000022-2-2-2-22200000000002-20000000000000000000000000000000000
χ564444-4-4-4-444-2-4-422-222-2-244-4000022-2-222-2-20000000000-220000000000000000000000000000000000
χ5744-4-44-44-4-44400444-4-4-4-400000004-4-4400000000000000000000000000000000000000000000000000
χ5844-4-44-44-4-44-200-2-2-222220000000-222-20000000000−2i32i3−2i32i3000000000000000000000000000000000000
χ5944-4-44-44-4-44-200-2-2-222220000000-222-200000000002i3−2i32i3−2i3000000000000000000000000000000000000
χ6044-4-44-4-444-4400444-4-4-4-40000000-444-400000000000000000000000000000000000000000000000000
χ6144-4-44-4-444-4-200-2-2-2222200000002-2-220000000000−2i32i32i3−2i3000000000000000000000000000000000000
χ6244-4-44-4-444-4-200-2-2-2222200000002-2-2200000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ6344-4-4-444-44-4-20022-2-2-2220004i−4i4i−4i-22-220000000000000000−2i2i−2i2i000000000000000000000000000000
χ6444-4-4-444-44-4-20022-2-2-222000−4i4i−4i4i-22-2200000000000000002i−2i2i−2i000000000000000000000000000000
χ6544-4-4-44-44-44-20022-2-2-2220004i−4i−4i4i2-22-20000000000000000−2i2i2i−2i000000000000000000000000000000
χ6644-4-4-44-44-44-20022-2-2-222000−4i4i4i−4i2-22-200000000000000002i−2i−2i2i000000000000000000000000000000
χ674-44-400000044-400-4004-4000000000004-400002i−2i2i−2i00000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ684-44-400000044-400-4004-4000000000004-40000−2i2i−2i2i0000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ694-44-40000004-4400-4004-400000000000-4400002i−2i−2i2i00000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ704-44-40000004-4400-4004-400000000000-440000−2i2i2i−2i0000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ714-44-4000000-24-4−2i32i32−2i32i3-2200000000000-22−2i32i3002i−2i2i−2i00000000002ζ7−2ζ72ζ11−2ζ112ζ7−2ζ72ζ11−2ζ110000000000000000000000
χ724-44-4000000-24-4−2i32i32−2i32i3-2200000000000-22−2i32i300−2i2i−2i2i0000000000−2ζ72ζ7−2ζ112ζ11−2ζ72ζ7−2ζ112ζ110000000000000000000000
χ734-44-4000000-24-42i3−2i322i3−2i3-2200000000000-222i3−2i3002i−2i2i−2i00000000002ζ11−2ζ112ζ7−2ζ72ζ11−2ζ112ζ7−2ζ70000000000000000000000
χ744-44-4000000-24-42i3−2i322i3−2i3-2200000000000-222i3−2i300−2i2i−2i2i0000000000−2ζ112ζ11−2ζ72ζ7−2ζ112ζ11−2ζ72ζ70000000000000000000000
χ754-44-4000000-2-44−2i32i32−2i32i3-22000000000002-22i3−2i3002i−2i−2i2i00000000002ζ7−2ζ72ζ11−2ζ11−2ζ72ζ7−2ζ112ζ110000000000000000000000
χ764-44-4000000-2-44−2i32i32−2i32i3-22000000000002-22i3−2i300−2i2i2i−2i0000000000−2ζ72ζ7−2ζ112ζ112ζ7−2ζ72ζ11−2ζ110000000000000000000000
χ774-44-4000000-2-442i3−2i322i3−2i3-22000000000002-2−2i32i3002i−2i−2i2i00000000002ζ11−2ζ112ζ7−2ζ7−2ζ112ζ11−2ζ72ζ70000000000000000000000
χ784-44-4000000-2-442i3−2i322i3−2i3-22000000000002-2−2i32i300−2i2i2i−2i0000000000−2ζ112ζ11−2ζ72ζ72ζ11−2ζ112ζ7−2ζ70000000000000000000000
χ798-8-8800000080000-800-880000000000000000000000000000000000000000000000000000000000000
χ808-8-88000000-400−4i34i344i3−4i34-40000000000000000000000000000000000000000000000000000000000000
χ818-8-88000000-4004i3−4i34−4i34i34-40000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.