Finite Group Databasebeta

← Group #10695502

Character table — Group #10695502

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222222222444444444888888888888888816161616161616161616161624242424484848484848
order122222344666666622444121212122244666666121212121212444412121212121212124444248888
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111
χ61111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1
χ71111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1
χ81111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ92222222222222222-2-22-2-222220000-2-20000-2-200002-200-2-20000220000000000
χ102222222222222222-2-22-2-222220000-2-20000-2-20000-2200220000-2-20000000000
χ112222222-2-2222222222-2-2-2-2-2-2-20000220000-2-20000002-20022-2-2000000000000
χ122222222-2-2222222222-2-2-2-2-2-2-20000220000-2-2000000-2200-2-222000000000000
χ132222222-2-22222222-2-2-222-2-2-2-222-2-2-2-2222222-2-2-2-20000000000000000000000
χ142222222-2-22222222-2-2-222-2-2-2-2-2-222-2-2-2-2-2-22222220000000000000000000000
χ15222222-122-1-1-1-1-1-1-122222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000
χ16222222-122-1-1-1-1-1-1-122222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000
χ17222222-122-1-1-1-1-1-1-122222-1-1-1-1-2-2-2-2-1-11111-1-1111122-2-2-1-11111-1-10000000000
χ18222222-122-1-1-1-1-1-1-122222-1-1-1-1-2-2-2-2-1-11111-1-11111-2-22211-1-1-1-1110000000000
χ19222222-122-1-1-1-1-1-1-1-2-22-2-2-1-1-1-1000011−i3−i3i3i311−i3−i3i3i32-20011−i3i3−i3i3-1-10000000000
χ20222222-122-1-1-1-1-1-1-1-2-22-2-2-1-1-1-1000011−i3−i3i3i311−i3−i3i3i3-2200-1-1i3−i3i3−i3110000000000
χ21222222-122-1-1-1-1-1-1-1-2-22-2-2-1-1-1-1000011i3i3−i3−i311i3i3−i3−i32-20011i3−i3i3−i3-1-10000000000
χ22222222-122-1-1-1-1-1-1-1-2-22-2-2-1-1-1-1000011i3i3−i3−i311i3i3−i3−i3-2200-1-1−i3i3−i3i3110000000000
χ23222222-1-2-2-1-1-1-1-1-1-122-2-2-211110000-1-1−i3−i3i3i311i3i3−i3−i3002-2−i3i3-1-111−i3i30000000000
χ24222222-1-2-2-1-1-1-1-1-1-122-2-2-211110000-1-1−i3−i3i3i311i3i3−i3−i300-22i3−i311-1-1i3−i30000000000
χ25222222-1-2-2-1-1-1-1-1-1-122-2-2-211110000-1-1i3i3−i3−i311−i3−i3i3i3002-2i3−i3-1-111i3−i30000000000
χ26222222-1-2-2-1-1-1-1-1-1-122-2-2-211110000-1-1i3i3−i3−i311−i3−i3i3i300-22−i3i311-1-1−i3i30000000000
χ27222222-1-2-2-1-1-1-1-1-1-1-2-2-222111122-2-211-1-1-1-1-1-111110000−i3i3i3−i3−i3i3i3−i30000000000
χ28222222-1-2-2-1-1-1-1-1-1-1-2-2-222111122-2-211-1-1-1-1-1-111110000i3−i3−i3i3i3−i3−i3i30000000000
χ29222222-1-2-2-1-1-1-1-1-1-1-2-2-2221111-2-222111111-1-1-1-1-1-10000−i3i3−i3i3i3−i3i3−i30000000000
χ30222222-1-2-2-1-1-1-1-1-1-1-2-2-2221111-2-222111111-1-1-1-1-1-10000i3−i3i3−i3−i3i3−i3i30000000000
χ312222-2-22222-2-22-2-222-2-2-2222-2-200002-200002-2000000000000000000002-20000
χ322222-2-22222-2-22-2-222-2-2-2222-2-200002-200002-200000000000000000000-220000
χ332222-2-22222-2-22-2-22-22-22-222-2-20000-220000-2200000000000000000000002-200
χ342222-2-22222-2-22-2-22-22-22-222-2-20000-220000-220000000000000000000000-2200
χ352222-2-22-2-22-2-22-2-222-222-2-2-22200002-20000-2200000000000000002i2i−2i−2i000000
χ362222-2-22-2-22-2-22-2-222-222-2-2-22200002-20000-220000000000000000−2i−2i2i2i000000
χ372222-2-22-2-22-2-22-2-22-222-22-2-2220000-2200002-20000000000000000000000002-2
χ382222-2-22-2-22-2-22-2-22-222-22-2-2220000-2200002-2000000000000000000000000-22
χ394444-4-4-244-222-222-24-4-4-44-2-2220000-220000-2200000000000000000000000000
χ404444-4-4-244-222-222-2-44-44-4-2-22200002-200002-200000000000000000000000000
χ414444-4-4-2-4-4-222-222-24-444-422-2-20000-2200002-200000000000000000000000000
χ424444-4-4-2-4-4-222-222-2-444-4422-2-200002-20000-2200000000000000000000000000
χ434-44-40044-4-400-4004000004-4002-22-2002-22-2002-22-20000000000000000000000
χ444-44-40044-4-400-4004000004-400-22-2200-22-2200-22-220000000000000000000000
χ454-44-4004-44-400-400400000-44002-2-22002-22-200-22-220000000000000000000000
χ464-44-4004-44-400-400400000-4400-222-200-22-22002-22-20000000000000000000000
χ474-44-400-24-42−2i32i32−2i32i3-200000-22−2i32i32-22-200−1−i31+i3−1+i31−i300−1−i31+i3−1+i31−i30000000000000000000000
χ484-44-400-24-42−2i32i32−2i32i3-200000-22−2i32i3-22-22001+i3−1−i31−i3−1+i3001+i3−1−i31−i3−1+i30000000000000000000000
χ494-44-400-24-422i3−2i322i3−2i3-200000-222i3−2i32-22-200−1+i31−i3−1−i31+i300−1+i31−i3−1−i31+i30000000000000000000000
χ504-44-400-24-422i3−2i322i3−2i3-200000-222i3−2i3-22-22001−i3−1+i31+i3−1−i3001−i3−1+i31+i3−1−i30000000000000000000000
χ514-44-400-2-442−2i32i32−2i32i3-2000002-22i3−2i32-2-2200−1−i31+i3−1+i31−i3001+i3−1−i31−i3−1+i30000000000000000000000
χ524-44-400-2-442−2i32i32−2i32i3-2000002-22i3−2i3-222-2001+i3−1−i31−i3−1+i300−1−i31+i3−1+i31−i30000000000000000000000
χ534-44-400-2-4422i3−2i322i3−2i3-2000002-2−2i32i32-2-2200−1+i31−i3−1−i31+i3001−i3−1+i31+i3−1−i30000000000000000000000
χ544-44-400-2-4422i3−2i322i3−2i3-2000002-2−2i32i3-222-2001−i3−1+i31+i3−1−i300−1+i31−i3−1−i31+i30000000000000000000000
χ554-4-444-4400-4444-4-4-400000000000000000000000000000000000002i−2i2i−2i000000
χ564-4-444-4400-4444-4-4-40000000000000000000000000000000000000−2i2i−2i2i000000
χ574-4-44-44400-4-4-4444-400000000000000000000000000000000000002-2-22000000
χ584-4-44-44400-4-4-4444-40000000000000000000000000000000000000-222-2000000
χ5988-8-800800800-800-800000000000000000000000000000000000000000000000
χ6088-8-800-400-4−4i34i344i3−4i3400000000000000000000000000000000000000000000000
χ6188-8-800-400-44i3−4i34−4i34i3400000000000000000000000000000000000000000000000
χ628-8-888-8-4004-4-4-444400000000000000000000000000000000000000000000000
χ638-8-88-88-400444-4-4-4400000000000000000000000000000000000000000000000

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