Finite Group Databasebeta

← Group #10713920

Character table — Group #10713920

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size112222222222222444444444444488888888888888161616161616161616161616242424242424242448484848
order1222234444666886688812121212242424242466881212242424242424224466661212121216161616161616162488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ92222222222222-2-222-2-2-22222-2-2-2-22222-2-222-2-2-2-2-2-2000000000000000000000000
χ102222222222222-2-222-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-22222000000000000000000000000
χ1122222-12222-1-1-122-1-1222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ1222222-12222-1-1-122-1-1222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ1322222-12222-1-1-122-1-1222-1-1-1-1-1-1-1-1-2-211-2-211-1-1111122-2-2-1-1-1-11111000000000000
χ1422222-12222-1-1-122-1-1222-1-1-1-1-1-1-1-1-2-211-2-211-1-11111-2-2221111-1-1-1-1000000000000
χ1522222-12222-1-1-1-2-2-1-1-2-2-2-1-1-1-1111122-1-1-2-2-1-11111110000−i3−i3i3i3−i3−i3i3i3000000000000
χ1622222-12222-1-1-1-2-2-1-1-2-2-2-1-1-1-1111122-1-1-2-2-1-11111110000i3i3−i3−i3i3i3−i3−i3000000000000
χ1722222-12222-1-1-1-2-2-1-1-2-2-2-1-1-1-11111-2-211221111-1-1-1-10000−i3−i3i3i3i3i3−i3−i3000000000000
χ1822222-12222-1-1-1-2-2-1-1-2-2-2-1-1-1-11111-2-211221111-1-1-1-10000i3i3−i3−i3−i3−i3i3i3000000000000
χ19222-2-2222-2-22-2-2002-200022-2-2000000002i−2i00002i2i−2i−2i00000000000022−2−2−i2−i2i2i20000
χ20222-2-2222-2-22-2-2002-200022-2-2000000002i−2i00002i2i−2i−2i000000000000−2−222i2i2−i2−i20000
χ21222-2-2222-2-22-2-2002-200022-2-200000000−2i2i0000−2i−2i2i2i00000000000022−2−2i2i2−i2−i20000
χ22222-2-2222-2-22-2-2002-200022-2-200000000−2i2i0000−2i−2i2i2i000000000000−2−222−i2−i2i2i20000
χ23222-2-22-2-2222-2-2222-22-2-2-2-22222-2-2000000002-20000000000000000000000002-200
χ24222-2-22-2-2222-2-2222-22-2-2-2-22222-2-2000000002-2000000000000000000000000-2200
χ25222-2-22-2-2222-2-2-2-22-2-222-2-222-2-22200000000-22000000000000000000000000002-2
χ26222-2-22-2-2222-2-2-2-22-2-222-2-222-2-22200000000-2200000000000000000000000000-22
χ2722-22-222-22-22-2-222-22-2-222-2-2222-2-200000000-2200000000000000002-22-200000000
χ2822-22-222-22-22-2-222-22-2-222-2-2222-2-200000000-220000000000000000-22-2200000000
χ2922-22-222-22-22-2-2-2-2-2222-22-2-22-2-222000000002-2000000000000000000002i−2i2i−2i0000
χ3022-22-222-22-22-2-2-2-2-2222-22-2-22-2-222000000002-200000000000000000000−2i2i−2i2i0000
χ3122-2-2222-2-2222200-2-20002-22-200002-22200-2-20000000000000000002−2−222−2−220000
χ3222-2-2222-2-2222200-2-20002-22-200002-22200-2-2000000000000000000−222−2−222−20000
χ3322-2-2222-2-2222200-2-20002-22-20000-22-2-200220000000000000000002−2−22−222−20000
χ3422-2-2222-2-2222200-2-20002-22-20000-22-2-20022000000000000000000−222−22−2−220000
χ3522-2-222-222-222222-2-2-22-2-22-22222200000000-2-200002-2002-22-20000000000000000
χ3622-2-222-222-222222-2-2-22-2-22-22222200000000-2-20000-2200-22-220000000000000000
χ3722-2-222-222-2222-2-2-2-22-22-22-22-2-2-2-200000000220000002-200002-22-2000000000000
χ3822-2-222-222-2222-2-2-2-22-22-22-22-2-2-2-20000000022000000-220000-22-22000000000000
χ3922-2-22-1-222-2-1-1-12211-22-21-11-1-1-1-1-100−i3i300−i3i311−i3i3−i3i32-200-11-11−i3i3i3−i3000000000000
χ4022-2-22-1-222-2-1-1-12211-22-21-11-1-1-1-1-100−i3i300−i3i311−i3i3−i3i3-22001-11-1i3−i3−i3i3000000000000
χ4122-2-22-1-222-2-1-1-12211-22-21-11-1-1-1-1-100i3−i300i3−i311i3−i3i3−i32-200-11-11i3−i3−i3i3000000000000
χ4222-2-22-1-222-2-1-1-12211-22-21-11-1-1-1-1-100i3−i300i3−i311i3−i3i3−i3-22001-11-1−i3i3i3−i3000000000000
χ4322-2-22-1-222-2-1-1-1-2-2112-221-11-1111100−i3i300−i3i3-1-1i3−i3i3−i3002-2−i3i3i3−i3-11-11000000000000
χ4422-2-22-1-222-2-1-1-1-2-2112-221-11-1111100−i3i300−i3i3-1-1i3−i3i3−i300-22i3−i3−i3i31-11-1000000000000
χ4522-2-22-1-222-2-1-1-1-2-2112-221-11-1111100i3−i300i3−i3-1-1−i3i3−i3i3002-2i3−i3−i3i3-11-11000000000000
χ4622-2-22-1-222-2-1-1-1-2-2112-221-11-1111100i3−i300i3−i3-1-1−i3i3−i3i300-22−i3i3i3−i31-11-1000000000000
χ47444444-4-4-4-44440044000-4-4-4-4000000000000000000000000000000000000000000
χ4844444-2-4-4-4-4-2-2-200-2-20002222000000−2i32i3002i3−2i3000000000000000000000000000000
χ4944444-2-4-4-4-4-2-2-200-2-200022220000002i3−2i300−2i32i3000000000000000000000000000000
χ50444-4-4-244-4-4-22200-22000-2-222000000004i−4i0000−2i−2i2i2i000000000000000000000000
χ51444-4-4-244-4-4-22200-22000-2-22200000000−4i4i00002i2i−2i−2i000000000000000000000000
χ52444-4-4-2-4-444-22244-224-4-422-2-2-2-22200000000-220000000000000000000000000000
χ53444-4-4-2-4-444-222-4-4-22-44422-2-222-2-2000000002-20000000000000000000000000000
χ5444-44-44-44-444-4-400-44000-444-4000000000000000000000000000000000000000000
χ5544-44-4-24-44-4-222442-2-4-44-222-2-2-222000000002-20000000000000000000000000000
χ5644-44-4-24-44-4-222-4-42-244-4-222-222-2-200000000-220000000000000000000000000000
χ5744-44-4-2-44-44-222002-20002-2-220000000000000023−23−2323000000000000000000000000
χ5844-44-4-2-44-44-222002-20002-2-2200000000000000−232323−23000000000000000000000000
χ5944-4-44-24-4-44-2-2-20022000-22-2200004-4-2-20022000000000000000000000000000000
χ6044-4-44-24-4-44-2-2-20022000-22-220000-442200-2-2000000000000000000000000000000
χ618-800080000-80042−4200000000042−420000000000000000000000000000000000000000
χ628-800080000-800−4242000000000−42420000000000000000000000000000000000000000
χ638-8000-400004−4i34i342−42000000000−22222i6−2i600000000000000000000000000000000000000
χ648-8000-400004−4i34i3−424200000000022−22−2i62i600000000000000000000000000000000000000
χ658-8000-4000044i3−4i342−42000000000−2222−2i62i600000000000000000000000000000000000000
χ668-8000-4000044i3−4i3−424200000000022−222i6−2i600000000000000000000000000000000000000

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