Finite Group Databasebeta

← Group #10695507

Character table — Group #10695507

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size111122222222444444444448888161616161616161616161616161616161616242424242424242448484848
order1222223446662244466661212612121222446666881212121224242424444444444488
χ1111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-11-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1
χ41111111111111111111111111111-11-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111111-11-11-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111
χ6111111111111111111111111111-11-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1
χ7111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1
χ8111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ9222222222222-2-22-2-222-2-222-22-2-220-20220000-2-2000000000000000000
χ10222222222222-2-22-2-222-2-222-22-2-2-2020-2-2000022000000000000000000
χ112222222-2-222222-2-2-22222-2-22-2-2-2000000000000000000000000002-200
χ122222222-2-222222-2-2-22222-2-22-2-2-200000000000000000000000000-2200
χ132222222-2-2222-2-2-22222-2-2-2-2-2-22200000000000000000022-2-200000000
χ142222222-2-2222-2-2-22222-2-2-2-2-2-222000000000000000000-2-22200000000
χ15222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1000000000000
χ16222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-12-22-2-1-111-2-2-1-1111111000000000000
χ17222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1-22-2211-1-1-2-211-1-11111000000000000
χ18222222-122-1-1-122222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111221111-1-1-1-1000000000000
χ19222222-122-1-1-1-2-22-2-2-1-111-1-11-11120-20-1-1−i3i30011−i3i3−i3−i3i3i3000000000000
χ20222222-122-1-1-1-2-22-2-2-1-111-1-11-11120-20-1-1i3−i30011i3−i3i3i3−i3−i3000000000000
χ21222222-122-1-1-1-2-22-2-2-1-111-1-11-111-202011−i3i300-1-1−i3i3i3i3−i3−i3000000000000
χ22222222-122-1-1-1-2-22-2-2-1-111-1-11-111-202011i3−i300-1-1i3−i3−i3−i3i3i3000000000000
χ232222-2-22222222-2-2-22-2-22222-2-22-2020-200220000-2-20000000000000000
χ242222-2-22222222-2-2-22-2-22222-2-22-20-20200-2-20000220000000000000000
χ252222-2-2222222-22-22-2-2-2-2-2222-2-22000000002-200002-22-2000000000000
χ262222-2-2222222-22-22-2-2-2-2-2222-2-2200000000-220000-22-22000000000000
χ272222-2-22-2-22222-222-2-2-222-2-2-22-2200000000000000000000002i2i−2i−2i0000
χ282222-2-22-2-22222-222-2-2-222-2-2-22-220000000000000000000000−2i−2i2i2i0000
χ292222-2-22-2-2222-222-22-2-2-2-2-2-2222-200000000000000000000000000002-2
χ302222-2-22-2-2222-222-22-2-2-2-2-2-2222-20000000000000000000000000000-22
χ312222-2-2-122-1-1-12-2-2-2211-1-1-1-111-11020-2−i3i3-1-100−i3i311−i3i3i3−i3000000000000
χ322222-2-2-122-1-1-12-2-2-2211-1-1-1-111-11020-2i3−i3-1-100i3−i311i3−i3−i3i3000000000000
χ332222-2-2-122-1-1-12-2-2-2211-1-1-1-111-110-202−i3i31100−i3i3-1-1i3−i3−i3i3000000000000
χ342222-2-2-122-1-1-12-2-2-2211-1-1-1-111-110-202i3−i31100i3−i3-1-1−i3i3i3−i3000000000000
χ352222-2-2-122-1-1-1-22-22-21111-1-1-111-10000−i3i3−i3i32-2i3−i3i3−i3-11-11000000000000
χ362222-2-2-122-1-1-1-22-22-21111-1-1-111-10000−i3i3i3−i3-22i3−i3−i3i31-11-1000000000000
χ372222-2-2-122-1-1-1-22-22-21111-1-1-111-10000i3−i3−i3i3-22−i3i3i3−i31-11-1000000000000
χ382222-2-2-122-1-1-1-22-22-21111-1-1-111-10000i3−i3i3−i32-2−i3i3−i3i3-11-11000000000000
χ39444444-2-4-4-2-2-244-4-4-4-2-2-2-222-2222000000000000000000000000000000
χ40444444-2-4-4-2-2-2-4-4-444-2-2222222-2-2000000000000000000000000000000
χ414444-4-4-2-4-4-2-2-24-444-422-2-2222-22-2000000000000000000000000000000
χ424444-4-4-2-4-4-2-2-2-444-44222222-2-2-22000000000000000000000000000000
χ4344-4-40044-44-4-40000000004-400000000000000000000002i−2i2i−2i00000000
χ4444-4-40044-44-4-40000000004-40000000000000000000000−2i2i−2i2i00000000
χ4544-4-4004-444-4-4000000000-4400000000000000000000002i−2i−2i2i00000000
χ4644-4-4004-444-4-4000000000-440000000000000000000000−2i2i2i−2i00000000
χ474-44-44-4400-44-4000004-40000000000000000000000000000002i−2i2i−2i0000
χ484-44-44-4400-44-4000004-4000000000000000000000000000000−2i2i−2i2i0000
χ494-44-4-44400-44-400000-440000000000000000000000000000002-2-220000
χ504-44-4-44400-44-400000-44000000000000000000000000000000-222-20000
χ5188-8-800-48-8-444000000000-440000000000000000000000000000000000
χ5288-8-800-4-88-4440000000004-40000000000000000000000000000000000
χ538-88-88-8-4004-4400000-4400000000000000000000000000000000000000
χ548-88-8-88-4004-44000004-400000000000000000000000000000000000000
χ558-8-8800800-8-88000000000000000000000000000000000000000000000
χ568-8-8800-40044-40000000−4i34i3000000000000000000000000000000000000
χ578-8-8800-40044-400000004i3−4i3000000000000000000000000000000000000

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