Finite Group Databasebeta

← Group #10698841

Character table — Group #10698841

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size111122222222222222224444444444488888888888888888888888888161616161616242424242424242448484848
order12222234444446666666444121212121212121222446666888812121212121224242424242424244412121212888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ61111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111
χ9222222222-2-2222222222-2-2-2222-2-2-2-2222-2-222220000-2-2-2-2-2-200000000000000000000000000
χ10222222222-2-2222222222-2-2-2222-2-2-2-22-2-222-2-2-2-200002222-2-200000000000000000000000000
χ112222222-2-222-2-222222222-2-2-2-2-22222-20000000000000000-2-20000000000000000000000002i−2i
χ122222222-2-222-2-222222222-2-2-2-2-22222-20000000000000000-2-2000000000000000000000000−2i2i
χ132222222-2-2-2-2-2-22222222-222-2-2-2-2-2-2-2-200000000000000002200000000000000000000002i−2i00
χ142222222-2-2-2-2-2-22222222-222-2-2-2-2-2-2-2-20000000000000000220000000000000000000000−2i2i00
χ15222222-1222222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1000000000000
χ16222222-1222222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111-2-21111000000000000
χ17222222-1222222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-2111122221111-1-1-1-1-1-1-1-1-1-1-2-21111000000000000
χ18222222-1222222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-11111111122-1-1-1-1000000000000
χ19222222-122-2-222-1-1-1-1-1-1-1-2-2-2-1-1-11111-122-2-2-1-1-1-10000111111−i3−i3−i3−i3i3i3i3i300−i3−i3i3i3000000000000
χ20222222-122-2-222-1-1-1-1-1-1-1-2-2-2-1-1-11111-122-2-2-1-1-1-10000111111i3i3i3i3−i3−i3−i3−i300i3i3−i3−i3000000000000
χ21222222-122-2-222-1-1-1-1-1-1-1-2-2-2-1-1-11111-1-2-22211110000-1-1-1-111−i3−i3−i3−i3i3i3i3i300i3i3−i3−i3000000000000
χ22222222-122-2-222-1-1-1-1-1-1-1-2-2-2-1-1-11111-1-2-22211110000-1-1-1-111i3i3i3i3−i3−i3−i3−i300−i3−i3i3i3000000000000
χ232222-2-222-2222-2-2-2-2-2222-2-2222-222-2-2-200000000000000002-20000000000000022-2-200000000
χ242222-2-222-2222-2-2-2-2-2222-2-2222-222-2-2-200000000000000002-200000000000000-2-22200000000
χ252222-2-222-2-2-22-2-2-2-2-222222-222-2-2-222-20000000000000000-220000000000000000002i2i−2i−2i0000
χ262222-2-222-2-2-22-2-2-2-2-222222-222-2-2-222-20000000000000000-22000000000000000000−2i−2i2i2i0000
χ272222-2-22-2222-22-2-2-2-2222-22-2-2-2222-2-220000000022-2-20000-2222-2-222-2-2000000000000000000
χ282222-2-22-2222-22-2-2-2-2222-22-2-2-2222-2-2200000000-2-2220000-22-2-222-2-222000000000000000000
χ292222-2-22-22-2-2-22-2-2-2-22222-22-2-22-2-222200000000000000002-2000000002-22-22-2000000000000
χ302222-2-22-22-2-2-22-2-2-2-22222-22-2-22-2-222200000000000000002-200000000-22-22-22000000000000
χ312222-2-2-1-2222-221111-1-1-1-22-211-1-1-111-10000−i3−i3i3i322-2-2−i3−i3i3i31-1-1-111-1-11100−i3i3i3−i3000000000000
χ322222-2-2-1-2222-221111-1-1-1-22-211-1-1-111-10000−i3−i3i3i3-2-222−i3−i3i3i31-111-1-111-1-100i3−i3−i3i3000000000000
χ332222-2-2-1-2222-221111-1-1-1-22-211-1-1-111-10000i3i3−i3−i322-2-2i3i3−i3−i31-1-1-111-1-11100i3−i3−i3i3000000000000
χ342222-2-2-1-2222-221111-1-1-1-22-211-1-1-111-10000i3i3−i3−i3-2-222i3i3−i3−i31-111-1-111-1-100−i3i3i3−i3000000000000
χ352222-2-2-1-22-2-2-221111-1-1-12-2211-111-1-1-10000−i3−i3i3i30000i3i3−i3−i3-11−i3−i3i3i3i3i3−i3−i32-2-11-11000000000000
χ362222-2-2-1-22-2-2-221111-1-1-12-2211-111-1-1-10000−i3−i3i3i30000i3i3−i3−i3-11i3i3−i3−i3−i3−i3i3i3-221-11-1000000000000
χ372222-2-2-1-22-2-2-221111-1-1-12-2211-111-1-1-10000i3i3−i3−i30000−i3−i3i3i3-11−i3−i3i3i3i3i3−i3−i3-221-11-1000000000000
χ382222-2-2-1-22-2-2-221111-1-1-12-2211-111-1-1-10000i3i3−i3−i30000−i3−i3i3i3-11i3i3−i3−i3−i3−i3i3i32-2-11-11000000000000
χ3922-2-22-222200-2-222-2-22-2-20002-220000-22-2002-22-20000000000000000000000002−22−22−22−20000
χ4022-2-22-222200-2-222-2-22-2-20002-220000-22-2002-22-2000000000000000000000000−22−22−22−220000
χ4122-2-22-222200-2-222-2-22-2-20002-220000-2-2200-22-220000000000000000000000002−22−2−22−220000
χ4222-2-22-222200-2-222-2-22-2-20002-220000-2-2200-22-22000000000000000000000000−22−222−22−20000
χ4322-2-2-2222-200-22-2-2222-2-20002-2-200002002i−2i000000002i−2i2i−2i00000000000000002−2−22−i2i2i2−i20000
χ4422-2-2-2222-200-22-2-2222-2-20002-2-200002002i−2i000000002i−2i2i−2i0000000000000000−222−2i2−i2−i2i20000
χ4522-2-2-2222-200-22-2-2222-2-20002-2-20000200−2i2i00000000−2i2i−2i2i00000000000000002−2−22i2−i2−i2i20000
χ4622-2-2-2222-200-22-2-2222-2-20002-2-20000200−2i2i00000000−2i2i−2i2i0000000000000000−222−2−i2i2i2−i20000
χ47444444-2-4-444-4-4-2-2-2-2-2-2-24-4-4222-2-2-2-2200000000000000002200000000000000000000000000
χ48444444-2-4-4-4-4-4-4-2-2-2-2-2-2-2-444222222220000000000000000-2-200000000000000000000000000
χ494444-4-4-24-4444-42222-2-2-2-4-44-2-22-2-22220000000000000000-2200000000000000000000000000
χ504444-4-4-24-4-4-44-42222-2-2-244-4-2-2222-2-2200000000000000002-200000000000000000000000000
χ5144-4-44-44-4-4004444-4-44-4-4000-44-40000400000000000000000000000000000000000000000000
χ5244-4-44-4-24400-4-4-2-222-222000-22-2000024-400-22-22000000000000000000000000000000000000
χ5344-4-44-4-24400-4-4-2-222-222000-22-200002-44002-22-2000000000000000000000000000000000000
χ5444-4-44-4-2-4-40044-2-222-2220002-220000-200000000000023−23−23230000000000000000000000000000
χ5544-4-44-4-2-4-40044-2-222-2220002-220000-2000000000000−232323−230000000000000000000000000000
χ5644-4-4-444-44004-4-4-4444-4-4000-4440000-400000000000000000000000000000000000000000000
χ5744-4-4-44-24-400-4422-2-2-222000-2220000-2004i−4i00000000−2i2i−2i2i0000000000000000000000000000
χ5844-4-4-44-24-400-4422-2-2-222000-2220000-200−4i4i000000002i−2i2i−2i0000000000000000000000000000
χ5944-4-4-44-2-44004-422-2-2-2220002-2-2000020000−2i32i32i3−2i3000000000000000000000000000000000000
χ6044-4-4-44-2-44004-422-2-2-2220002-2-20000200002i3−2i3−2i32i3000000000000000000000000000000000000
χ614-44-4004004-4000000-44-40000004-40000000000000−2i22i200000000−2i22i200−2i22i2000000000000000000
χ624-44-4004004-4000000-44-40000004-400000000000002i2−2i2000000002i2−2i2002i2−2i2000000000000000000
χ634-44-400400-44000000-44-4000000-4400000000000−2i22i200000000−2i22i200−2i22i200000000000000000000
χ644-44-400400-44000000-44-4000000-44000000000002i2−2i2000000002i2−2i2002i2−2i200000000000000000000
χ654-44-400-2004-400−2i32i3−2i32i32-22000000-22−2i32i300000000000−2i22i20000006−6i2−i2−66i2−i2000000000000000000
χ664-44-400-2004-400−2i32i3−2i32i32-22000000-22−2i32i3000000000002i2−2i2000000−66−i2i26−6−i2i2000000000000000000
χ674-44-400-2004-4002i3−2i32i3−2i32-22000000-222i3−2i300000000000−2i22i2000000−66i2−i26−6i2−i2000000000000000000
χ684-44-400-2004-4002i3−2i32i3−2i32-22000000-222i3−2i3000000000002i2−2i20000006−6−i2i2−66−i2i2000000000000000000
χ694-44-400-200-4400−2i32i3−2i32i32-220000002-22i3−2i3000000000−2i22i200000000i2−i26−6i2−i2−66000000000000000000
χ704-44-400-200-4400−2i32i3−2i32i32-220000002-22i3−2i30000000002i2−2i200000000−i2i2−66−i2i26−6000000000000000000
χ714-44-400-200-44002i3−2i32i3−2i32-220000002-2−2i32i3000000000−2i22i200000000i2−i2−66i2−i26−6000000000000000000
χ724-44-400-200-44002i3−2i32i3−2i32-220000002-2−2i32i30000000002i2−2i200000000−i2i26−6−i2i2−66000000000000000000
χ738-8-880080000000000-8-880000000000000000000000000000000000000000000000000000000
χ748-8-8800-4000000−4i34i34i3−4i344-40000000000000000000000000000000000000000000000000000000
χ758-8-8800-40000004i3−4i3−4i34i344-40000000000000000000000000000000000000000000000000000000

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