Finite Group Databasebeta

← Group #10833329

Character table — Group #10833329

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11112222222222444444444444888888888888888888888881212121212121616161616161616242424242424242424242448
order122222344446662244668812121212222444666666668121212122424242422448848121212122424444444888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-111-111-1-1-1-1-1-1111-1-111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1
χ411111111111111111111111111-1-1-111-111-1-1-1-1-1-1111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111
χ511111111111111111111-1-11111111-1-1111111111-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1
χ611111111111111111111-1-11111111-1-1111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-1-11
χ811111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111111-1
χ911111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-11-1-1-1-111111111-1-11-1-1-111-1-1-1-1-1-1-1-11111-11
χ1011111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-11-1-1-1-11111-1-1-1-1111-1-1-111-1-1111111-1-1-1-11-1
χ1111111111111111-1-1-1-111111111-1-11-1-11-1-1-1-1-1-1111-1-1111111111111-11-1-1-1-111-1-1-1-11111-1-11-1
χ1211111111111111-1-1-1-111111111-1-11-1-11-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-111-11
χ1311111111111111-1-1-1-111-1-1111111-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-11111-1-111-1-111-1-1
χ1411111111111111-1-1-1-111-1-1111111-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-111-1-111-1-111-1-111
χ1511111111111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111-1-1-111-1-1-1-11111111-11111-1-111-1-1-1-1-1-1-1-111
χ1611111111111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111111111-1-1
χ17222222-12222-1-1-12222-1-122-1-1-1-1222222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-100000022-1-1-1-1-1-1000000000000
χ18222222-12222-1-1-12222-1-122-1-1-1-1-2-2-222-2-1-11111112-1-111-1-1-1-1000000-2-2-1-11111000000000000
χ19222222-12222-1-1-12222-1-1-2-2-1-1-1-1222-2-22-1-1-1-1-1-1-1-1-2-1-1-1-11111000000-2-2111111000000000000
χ20222222-12222-1-1-12222-1-1-2-2-1-1-1-1-2-2-2-2-2-2-1-1111111-2-1-11111110000002211-1-1-1-1000000000000
χ21222222-12222-1-1-1-2-2-2-2-1-122-1-1-1-122-2-2-2-211-1-1-1-11121111-1-1-1-10000002-211-1-111000000000000
χ22222222-12222-1-1-1-2-2-2-2-1-122-1-1-1-1-2-22-2-22111111-1-1211-1-1-1-1-1-1000000-221111-1-1000000000000
χ23222222-12222-1-1-1-2-2-2-2-1-1-2-2-1-1-1-122-222-211-1-1-1-111-211111111000000-22-1-111-1-1000000000000
χ24222222-12222-1-1-1-2-2-2-2-1-1-2-2-1-1-1-1-2-22222111111-1-1-211-1-111110000002-2-1-1-1-111000000000000
χ252222-2-222-2-222220000-2-20022-2-200200-200000022000-2-2000022-2-2-2-200000000000000000020
χ262222-2-222-2-222220000-2-20022-2-200200-200000022000-2-20000-2-22222000000000000000000-20
χ272222-2-222-2-222220000-2-20022-2-200-2002000000-2-200022000022-2-222000000000000000000-20
χ282222-2-222-2-222220000-2-20022-2-200-2002000000-2-2000220000-2-222-2-200000000000000000020
χ292222-2-22-222-222222-2-2-2-222-2-2220002-2022000000-2-2-20022-2-2000000002-20000000000000000
χ302222-2-22-222-222222-2-2-2-2-2-2-2-222000-220220000002-2-200-2-22200000000-220000000000000000
χ312222-2-22-222-2222-2-222-2-222-2-222000-220-2-2000000-2220022-2-200000000-220000000000000000
χ322222-2-22-222-2222-2-222-2-2-2-2-2-2220002-20-2-200000022200-2-222000000002-20000000000000000
χ332222-2-2-1-222-2-1-1-122-2-2112211-1-10002-20-1-1−i3−i3i3i3−i3i3-211−i3i3-1-11100000000-11−i3i3−i3i3000000000000
χ342222-2-2-1-222-2-1-1-122-2-2112211-1-10002-20-1-1i3i3−i3−i3i3−i3-211i3−i3-1-11100000000-11i3−i3i3−i3000000000000
χ352222-2-2-1-222-2-1-1-122-2-211-2-211-1-1000-220-1-1−i3−i3i3i3−i3i3211−i3i311-1-1000000001-1i3−i3i3−i3000000000000
χ362222-2-2-1-222-2-1-1-122-2-211-2-211-1-1000-220-1-1i3i3−i3−i3i3−i3211i3−i311-1-1000000001-1−i3i3−i3i3000000000000
χ372222-2-2-1-222-2-1-1-1-2-222112211-1-1000-22011−i3−i3i3i3i3−i3-2-1-1i3−i3-1-111000000001-1−i3i3i3−i3000000000000
χ382222-2-2-1-222-2-1-1-1-2-222112211-1-1000-22011i3i3−i3−i3−i3i3-2-1-1−i3i3-1-111000000001-1i3−i3−i3i3000000000000
χ392222-2-2-1-222-2-1-1-1-2-22211-2-211-1-10002-2011−i3−i3i3i3i3−i32-1-1i3−i311-1-100000000-11i3−i3−i3i3000000000000
χ402222-2-2-1-222-2-1-1-1-2-22211-2-211-1-10002-2011i3i3−i3−i3−i3i32-1-1−i3i311-1-100000000-11−i3i3i3−i3000000000000
χ412-2-222-2222-2-2-2-222-22-22-2002-22-20000002-200000002-2000000000000000000002i−2i00002i−2i0000
χ422-2-222-2222-2-2-2-222-22-22-2002-22-20000002-200000002-200000000000000000000−2i2i0000−2i2i0000
χ432-2-222-2222-2-2-2-22-22-222-2002-22-2000000-220000000-22000000000000000000002i−2i0000−2i2i0000
χ442-2-222-2222-2-2-2-22-22-222-2002-22-2000000-220000000-2200000000000000000000−2i2i00002i−2i0000
χ452-2-222-22-2-222-2-2200002-200-22-222-20000002-22-2000000000002-22-20000000000000000002-200
χ462-2-222-22-2-222-2-2200002-200-22-222-20000002-22-200000000000-22-22000000000000000000-2200
χ472-2-222-22-2-222-2-2200002-200-22-22-22000000-22-22000000000002-22-2000000000000000000-2200
χ482-2-222-22-2-222-2-2200002-200-22-22-22000000-22-2200000000000-22-220000000000000000002-200
χ492-2-22-222-22-22-2-222-2-22-2200-222-20000002-20000000-220000002-2-220000000000002-200000000
χ502-2-22-222-22-22-2-222-2-22-2200-222-20000002-20000000-22000000-222-2000000000000-2200000000
χ512-2-22-222-22-22-2-22-222-2-2200-222-2000000-2200000002-20000002-2-22000000000000-2200000000
χ522-2-22-222-22-22-2-22-222-2-2200-222-2000000-2200000002-2000000-222-20000000000002-200000000
χ534444444-4-4-4-444400004400-4-4-4-40000000000000000000000000000000000000000000000000
χ54444444-2-4-4-4-4-2-2-20000-2-2002222000000000000−2i32i30002i3−2i3000000000000000000000000000000
χ55444444-2-4-4-4-4-2-2-20000-2-20022220000000000002i3−2i3000−2i32i3000000000000000000000000000000
χ564444-4-4-24-4-44-2-2-200002200-2-22200400-4000000-2-200022000000000000000000000000000000
χ574444-4-4-24-4-44-2-2-200002200-2-22200-400400000022000-2-2000000000000000000000000000000
χ584-44-400400004-4-4000000−2i22i200000000000000000000000−2i22i2000000−2i22i20000000000002-2000000
χ594-44-400400004-4-4000000−2i22i200000000000000000000000−2i22i20000002i2−2i2000000000000-22000000
χ604-44-400400004-4-40000002i2−2i2000000000000000000000002i2−2i2000000−2i22i2000000000000-22000000
χ614-44-400400004-4-40000002i2−2i2000000000000000000000002i2−2i20000002i2−2i20000000000002-2000000
χ624-4-444-4-244-4-422-24-44-4-2200-22-22000000-220000000-2200000000000000000000000000000000
χ634-4-444-4-244-4-422-2-44-44-2200-22-220000002-200000002-200000000000000000000000000000000
χ644-4-444-4-2-4-44422-20000-22002-22-24-4000000-22-220000000000000000000000000000000000000
χ654-4-444-4-2-4-44422-20000-22002-22-2-440000002-22-20000000000000000000000000000000000000
χ664-4-44-4444-44-4-4-440000-44004-4-440000000000000000000000000000000000000000000000000
χ674-4-44-44-24-44-422-200002-200-222-200000000−2i32i32i3−2i30000000000000000000000000000000000000
χ684-4-44-44-24-44-422-200002-200-222-2000000002i3−2i3−2i32i30000000000000000000000000000000000000
χ694-4-44-44-2-44-4422-24-4-442-2002-2-22000000-2200000002-200000000000000000000000000000000
χ704-4-44-44-2-44-4422-2-444-42-2002-2-220000002-20000000-2200000000000000000000000000000000
χ7188-8-80080000-88-80000000000000000000000000000000000000000000000000000000000000
χ7288-8-800-400004-4400000000000000000000000000000000026−2600000000000000000000000000
χ7388-8-800-400004-44000000000000000000000000000000000−262600000000000000000000000000
χ748-88-800-40000-444000000−4i24i2000000000000000000000002i2−2i20000000000000000000000000000
χ758-88-800-40000-4440000004i2−4i200000000000000000000000−2i22i20000000000000000000000000000

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