Finite Group Databasebeta

← Group #10823702

Character table — Group #10823702

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222222222222244444444444488888888888888888888888888888888888824242424242424242424242424242424
order1222222222344444444666121212126666661212121212122224444444446666661212121212121212121212121212121212122244444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11-1-11-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-11-1-11-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-11-1-11-1-11-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-11-1-11-1-11-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111-1-11-1-11-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-11-1-11-1-11-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ911111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-111-1-1-11-1-111111-1-111-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-111-1-1
χ1011111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-111-1-1-11-1-111111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-111-1-111
χ1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-111-11-11-1-11-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-111
χ1211111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11-111-11-11-1-11-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1
χ1311111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-111-1111-1-11-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111
χ1411111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-111-1111-1-11-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ1511111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-111-1-11111-1-1
χ1611111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-11111-1-111-1-1-1-111
χ172222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ182222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-22-2-22-2-22-2-2-1-11111-1-1-1-111111111-1-111110000000000000000
χ192222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2-22-2-22-2-22-211-1-1111111-1-1-1-1111111-1-1110000000000000000
χ202222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22-2-22-2-22-2-221111-1-111111111-1-1-1-11111-1-10000000000000000
χ212222222222-1-2-2-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-111111122-222-2-2-22-2-22-1-1-1-111-1-111-1-111-1-1111111-1-10000000000000000
χ222222222222-1-2-2-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-11111112-222-22-22-2-22-2-1-111-1-1-1-11111-1-111-1-111-1-1110000000000000000
χ232222222222-1-2-2-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-1111111-222-2222-2-22-2-211-1-1-1-111-1-1-1-11111-1-1-1-111110000000000000000
χ242222222222-1-2-2-2-2-2-2-2-2-1-1-11111-1-1-1-1-1-1111111-2-2-2-2-2-222222211111111-1-111-1-1-1-111-1-1-1-1-1-10000000000000000
χ25222222-2-2-2-222222-2-2-2-2222222222-2-2-2-222-2-2-2-200200-200200-200002200000000-2-2-2-20000220000000000000000
χ26222222-2-2-2-222222-2-2-2-2222222222-2-2-2-222-2-2-2-200-200200-20020000-2-20000000022220000-2-20000000000000000
χ27222222-2-2-2-22-2-2-2-22222222-2-2-2-222-2-2-2-2-2-2222200200-200-20020000220000000022-2-20000-2-20000000000000000
χ28222222-2-2-2-22-2-2-2-22222222-2-2-2-222-2-2-2-2-2-2222200-200200200-20000-2-200000000-2-2220000220000000000000000
χ29222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-1-1-11111-1-1111100200-200200-2−i3i3−i3i3-1-1−i3i3−i3i3−i3i3−i3i31111−i3i3−i3i3-1-10000000000000000
χ30222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-1-1-11111-1-1111100200-200200-2i3−i3i3−i3-1-1i3−i3i3−i3i3−i3i3−i31111i3−i3i3−i3-1-10000000000000000
χ31222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-1-1-11111-1-1111100-200200-2002−i3i3i3−i311−i3i3−i3i3i3−i3i3−i3-1-1-1-1−i3i3i3−i3110000000000000000
χ32222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-1-1-11111-1-1111100-200200-2002i3−i3−i3i311i3−i3i3−i3−i3i3−i3i3-1-1-1-1i3−i3−i3i3110000000000000000
χ33222222-2-2-2-2-1-2-2-2-22222-1-1-11111-1-1111111-1-1-1-100200-200-2002−i3i3i3−i3-1-1−i3i3i3−i3i3−i3−i3i3-1-111i3−i3−i3i3110000000000000000
χ34222222-2-2-2-2-1-2-2-2-22222-1-1-11111-1-1111111-1-1-1-100200-200-2002i3−i3−i3i3-1-1i3−i3−i3i3−i3i3i3−i3-1-111−i3i3i3−i3110000000000000000
χ35222222-2-2-2-2-1-2-2-2-22222-1-1-11111-1-1111111-1-1-1-100-200200200-2−i3i3−i3i311−i3i3i3−i3−i3i3i3−i311-1-1i3−i3i3−i3-1-10000000000000000
χ36222222-2-2-2-2-1-2-2-2-22222-1-1-11111-1-1111111-1-1-1-100-200200200-2i3−i3i3−i311i3−i3−i3i3i3−i3−i3i311-1-1−i3i3−i3i3-1-10000000000000000
χ372222-2-222-2-2222-2-222-2-22222222-2-222-2-2-2-222-2-20200-200200-200022000000-2-2-2-200000022000000000000000000
χ382222-2-222-2-2222-2-222-2-22222222-2-222-2-2-2-222-2-20-200200-2002000-2-20000002222000000-2-2000000000000000000
χ392222-2-222-2-22-2-222-2-222222-2-2-2-2-2-222-2-222-2-2220200-200-200200022000000-2-222000000-2-2000000000000000000
χ402222-2-222-2-22-2-222-2-222222-2-2-2-2-2-222-2-222-2-2220-200200200-2000-2-200000022-2-200000022000000000000000000
χ412222-2-222-2-2-122-2-222-2-2-1-1-1-1-1-1-111-1-11111-1-1110200-200200-20−i3i3-1-1−i3i3i3−i3i3−i31111−i3i3−i3i3−i3i3-1-1−i3i30000000000000000
χ422222-2-222-2-2-122-2-222-2-2-1-1-1-1-1-1-111-1-11111-1-1110200-200200-20i3−i3-1-1i3−i3−i3i3−i3i31111i3−i3i3−i3i3−i3-1-1i3−i30000000000000000
χ432222-2-222-2-2-122-2-222-2-2-1-1-1-1-1-1-111-1-11111-1-1110-200200-20020−i3i311i3−i3i3−i3i3−i3-1-1-1-1i3−i3i3−i3−i3i311i3−i30000000000000000
χ442222-2-222-2-2-122-2-222-2-2-1-1-1-1-1-1-111-1-11111-1-1110-200200-20020i3−i311−i3i3−i3i3−i3i3-1-1-1-1−i3i3−i3i3i3−i311−i3i30000000000000000
χ452222-2-222-2-2-1-2-222-2-222-1-1-1111111-1-111-1-111-1-10200-200-20020−i3i3-1-1i3−i3i3−i3−i3i311-1-1−i3i3i3−i3i3−i311−i3i30000000000000000
χ462222-2-222-2-2-1-2-222-2-222-1-1-1111111-1-111-1-111-1-10200-200-20020i3−i3-1-1−i3i3−i3i3i3−i311-1-1i3−i3−i3i3−i3i311i3−i30000000000000000
χ472222-2-222-2-2-1-2-222-2-222-1-1-1111111-1-111-1-111-1-10-200200200-20−i3i311−i3i3i3−i3−i3i3-1-111i3−i3−i3i3i3−i3-1-1i3−i30000000000000000
χ482222-2-222-2-2-1-2-222-2-222-1-1-1111111-1-111-1-111-1-10-200200200-20i3−i311i3−i3−i3i3i3−i3-1-111−i3i3i3−i3−i3i3-1-1−i3i30000000000000000
χ492222-2-2-2-222222-2-2-2-2222222222-2-2-2-222-2-2-2-222200-200200-200220000-2-2-2-2000000002200000000000000000000
χ502222-2-2-2-222222-2-2-2-2222222222-2-2-2-222-2-2-2-222-200200-200200-2-20000222200000000-2-200000000000000000000
χ512222-2-2-2-2222-2-22222-2-2222-2-2-2-2-2-2-2-2222222-2-2200-200-200200220000-2-22200000000-2-200000000000000000000
χ522222-2-2-2-2222-2-22222-2-2222-2-2-2-2-2-2-2-2222222-2-2-200200200-200-2-2000022-2-2000000002200000000000000000000
χ532222-2-2-2-222-122-2-2-2-222-1-1-1-1-1-1-11111-1-11111-1-1200-200200-200-1-1−i3i3−i3i31111i3−i3i3−i3i3−i3i3−i3-1-1−i3i3−i3i30000000000000000
χ542222-2-2-2-222-122-2-2-2-222-1-1-1-1-1-1-11111-1-11111-1-1200-200200-200-1-1i3−i3i3−i31111−i3i3−i3i3−i3i3−i3i3-1-1i3−i3i3−i30000000000000000
χ552222-2-2-2-222-122-2-2-2-222-1-1-1-1-1-1-11111-1-11111-1-1-200200-20020011−i3i3i3−i3-1-1-1-1i3−i3i3−i3−i3i3−i3i311−i3i3i3−i30000000000000000
χ562222-2-2-2-222-122-2-2-2-222-1-1-1-1-1-1-11111-1-11111-1-1-200200-20020011i3−i3−i3i3-1-1-1-1−i3i3−i3i3i3−i3i3−i311i3−i3−i3i30000000000000000
χ572222-2-2-2-222-1-2-22222-2-2-1-1-111111111-1-1-1-1-1-111200-200-200200-1-1−i3i3i3−i311-1-1i3−i3−i3i3i3−i3−i3i311i3−i3−i3i30000000000000000
χ582222-2-2-2-222-1-2-22222-2-2-1-1-111111111-1-1-1-1-1-111200-200-200200-1-1i3−i3−i3i311-1-1−i3i3i3−i3−i3i3i3−i311−i3i3i3−i30000000000000000
χ592222-2-2-2-222-1-2-22222-2-2-1-1-111111111-1-1-1-1-1-111-200200200-20011−i3i3−i3i3-1-111i3−i3−i3i3−i3i3i3−i3-1-1i3−i3i3−i30000000000000000
χ602222-2-2-2-222-1-2-22222-2-2-1-1-111111111-1-1-1-1-1-111-200200200-20011i3−i3i3−i3-1-111−i3i3i3−i3i3−i3−i3i3-1-1−i3i3−i3i30000000000000000
χ6122-2-22-22-22-222i−2i2i−2i2i−2i2i−2i2-2-22i2i−2i−2i2-22-22-22i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000002i−2i2-2
χ6222-2-22-22-22-222i−2i2i−2i2i−2i2i−2i2-2-22i2i−2i−2i2-22-22-22i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000−2i2i-22
χ6322-2-22-22-22-22−2i2i−2i2i−2i2i−2i2i2-2-2−2i−2i2i2i2-22-22-2−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000002i−2i-22
χ6422-2-22-22-22-22−2i2i−2i2i−2i2i−2i2i2-2-2−2i−2i2i2i2-22-22-2−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000−2i2i2-2
χ6522-2-22-2-22-2222i−2i2i−2i−2i2i−2i2i2-2-22i2i−2i−2i2-2-22-222i−2i−2i2i−2i2i0000000000000000000000000000000000002-22i−2i000000000000
χ6622-2-22-2-22-2222i−2i2i−2i−2i2i−2i2i2-2-22i2i−2i−2i2-2-22-222i−2i−2i2i−2i2i000000000000000000000000000000000000-22−2i2i000000000000
χ6722-2-22-2-22-222−2i2i−2i2i2i−2i2i−2i2-2-2−2i−2i2i2i2-2-22-22−2i2i2i−2i2i−2i0000000000000000000000000000000000002-2−2i2i000000000000
χ6822-2-22-2-22-222−2i2i−2i2i2i−2i2i−2i2-2-2−2i−2i2i2i2-2-22-22−2i2i2i−2i2i−2i000000000000000000000000000000000000-222i−2i000000000000
χ6922-2-2-222-2-2222i−2i−2i2i2i−2i−2i2i2-2-22i2i−2i−2i-222-2-22−2i2i2i−2i−2i2i00000000000000000000000000000000000000002-22i−2i00000000
χ7022-2-2-222-2-2222i−2i−2i2i2i−2i−2i2i2-2-22i2i−2i−2i-222-2-22−2i2i2i−2i−2i2i0000000000000000000000000000000000000000-22−2i2i00000000
χ7122-2-2-222-2-222−2i2i2i−2i−2i2i2i−2i2-2-2−2i−2i2i2i-222-2-222i−2i−2i2i2i−2i00000000000000000000000000000000000000002-2−2i2i00000000
χ7222-2-2-222-2-222−2i2i2i−2i−2i2i2i−2i2-2-2−2i−2i2i2i-222-2-222i−2i−2i2i2i−2i0000000000000000000000000000000000000000-222i−2i00000000
χ7322-2-2-22-222-222i−2i−2i2i−2i2i2i−2i2-2-22i2i−2i−2i-22-222-2−2i2i−2i2i2i−2i000000000000000000000000000000000000000000002-22i−2i0000
χ7422-2-2-22-222-222i−2i−2i2i−2i2i2i−2i2-2-22i2i−2i−2i-22-222-2−2i2i−2i2i2i−2i00000000000000000000000000000000000000000000-22−2i2i0000
χ7522-2-2-22-222-22−2i2i2i−2i2i−2i−2i2i2-2-2−2i−2i2i2i-22-222-22i−2i2i−2i−2i2i000000000000000000000000000000000000000000002-2−2i2i0000
χ7622-2-2-22-222-22−2i2i2i−2i2i−2i−2i2i2-2-2−2i−2i2i2i-22-222-22i−2i2i−2i−2i2i00000000000000000000000000000000000000000000-222i−2i0000
χ7744-4-44-44-44-4-24i−4i4i−4i4i−4i4i−4i-222−2i−2i2i2i-22-22-22−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ7844-4-44-44-44-4-2−4i4i−4i4i−4i4i−4i4i-2222i2i−2i−2i-22-22-222i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ7944-4-44-4-44-44-24i−4i4i−4i−4i4i−4i4i-222−2i−2i2i2i-222-22-2−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ8044-4-44-4-44-44-2−4i4i−4i4i4i−4i4i−4i-2222i2i−2i−2i-222-22-22i−2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ8144-4-4-444-4-44-24i−4i−4i4i4i−4i−4i4i-222−2i−2i2i2i2-2-222-22i−2i−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ8244-4-4-444-4-44-2−4i4i4i−4i−4i4i4i−4i-2222i2i−2i−2i2-2-222-2−2i2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ8344-4-4-44-444-4-24i−4i−4i4i−4i4i4i−4i-222−2i−2i2i2i2-22-2-222i−2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ8444-4-4-44-444-4-2−4i4i4i−4i4i−4i−4i4i-2222i2i−2i−2i2-22-2-22−2i2i−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ858-88-8000000800000000-8-8800000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8000000-40000000044-4−4i34i3−4i34i30000000000000000000000000000000000000000000000000000000000000000
χ878-88-8000000-40000000044-44i3−4i34i3−4i30000000000000000000000000000000000000000000000000000000000000000
χ888-8-88000000800000000-88-800000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88000000-4000000004-4443−43−43430000000000000000000000000000000000000000000000000000000000000000
χ908-8-88000000-4000000004-44−434343−430000000000000000000000000000000000000000000000000000000000000000

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