Finite Group Databasebeta

← Group #10944304

Character table — Group #10944304

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11111111222222222222222222224444444444444444444444444444444444441212121212121212121212121212121216161616161616161616161648484848
order122222223444466666668888888822446666888812121212121212122424242424242424242424242424242422224444888888882444661212121212122444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-1-111111-1-1-1-11-1-11
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-111-1-1-1-1-11111-111-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-1-111111-1-1-1-1-111-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-111-1-1-1-1-111111-1-11
χ911111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-11-11
χ1011111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111-11-1
χ1111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-11-11-1
χ1211111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-11-11
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111111-11-111-1-1-1-111-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-11-11-1-11111-1-111-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-11-11-111-1-1-1-11111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-11-11-1-11111-1-1-1-111
χ17222222222-2-2-2-222222220000000022-2-222220000-2-2-2-2-2-2-2-2000000000000000022-2-2-2-222000000000000000000000000
χ18222222222-2-2-2-222222220000000022-2-222220000-2-2-2-2-2-2-2-20000000000000000-2-22222-2-2000000000000000000000000
χ19222222222-2-2-2-2222222200000000-2-222-2-2-2-20000-2-2-22222-200000000000000002222-2-2-2-2000000000000000000000000
χ20222222222-2-2-2-2222222200000000-2-222-2-2-2-20000-2-2-22222-20000000000000000-2-2-2-22222000000000000000000000000
χ2122222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ2222222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ2322222222-12222-1-1-1-1-1-1-122222222-2-2-2-21111-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-11111111100000000000000002-2-22-1-1-1-111110000
χ2422222222-12222-1-1-1-1-1-1-122222222-2-2-2-21111-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-1111111110000000000000000-222-21111-1-1-1-10000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000000022-2-2-1-111-1-1110000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000-2-22211-1-111-1-10000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-211112222-1-1-11111-111111111-1-1-1-1-1-1-1-100000000000000002-22-2-1-11111-1-10000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-211112222-1-1-11111-111111111-1-1-1-1-1-1-1-10000000000000000-22-2211-1-1-1-1110000
χ2922-2-2-2-222222-2-22-2-222-2-200000000000000002i2i−2i−2i22-20000-2000000002i2i2i2i−2i−2i−2i−2i2-2002-20000002i2i−2i−2i0000000000000000
χ3022-2-2-2-222222-2-22-2-222-2-200000000000000002i2i−2i−2i22-20000-2000000002i2i2i2i−2i−2i−2i−2i-2200-22000000−2i−2i2i2i0000000000000000
χ3122-2-2-2-222222-2-22-2-222-2-20000000000000000−2i−2i2i2i22-20000-200000000−2i−2i−2i−2i2i2i2i2i2-2002-2000000−2i−2i2i2i0000000000000000
χ3222-2-2-2-222222-2-22-2-222-2-20000000000000000−2i−2i2i2i22-20000-200000000−2i−2i−2i−2i2i2i2i2i-2200-220000002i2i−2i−2i0000000000000000
χ3322-2-2-2-2222-2-2222-2-222-2-22222-2-2-2-2000000000000-2-22000022222-2-2-2-2000000002-200-220022-2-200000000000000000000
χ3422-2-2-2-2222-2-2222-2-222-2-22222-2-2-2-2000000000000-2-22000022222-2-2-2-200000000-22002-200-2-22200000000000000000000
χ3522-2-2-2-2222-2-2222-2-222-2-2-2-2-2-22222000000000000-2-2200002-2-2-2-22222000000002-200-2200-2-22200000000000000000000
χ3622-2-2-2-2222-2-2222-2-222-2-2-2-2-2-22222000000000000-2-2200002-2-2-2-2222200000000-22002-20022-2-200000000000000000000
χ372-22-22-22-222-22-2-22-22-22-22i2i−2i−2i2i2i−2i−2i0000000000002-220000-22i2i−2i−2i2i2i−2i−2i00000000002-2002-200002i−2i2i−2i0000000000000000
χ382-22-22-22-222-22-2-22-22-22-22i2i−2i−2i2i2i−2i−2i0000000000002-220000-22i2i−2i−2i2i2i−2i−2i0000000000-2200-220000−2i2i−2i2i0000000000000000
χ392-22-22-22-222-22-2-22-22-22-2−2i−2i2i2i−2i−2i2i2i0000000000002-220000-2−2i−2i2i2i−2i−2i2i2i00000000002-2002-20000−2i2i−2i2i0000000000000000
χ402-22-22-22-222-22-2-22-22-22-2−2i−2i2i2i−2i−2i2i2i0000000000002-220000-2−2i−2i2i2i−2i−2i2i2i0000000000-2200-2200002i−2i2i−2i0000000000000000
χ412-22-22-22-22-22-22-22-22-22-200000000000000002-22-2-22-2000020000000022-2-222-2-2002-200-222-22-200000000000000000000
χ422-22-22-22-22-22-22-22-22-22-200000000000000002-22-2-22-2000020000000022-2-222-2-200-22002-2-22-2200000000000000000000
χ432-22-22-22-22-22-22-22-22-22-20000000000000000-22-22-22-20000200000000-2-222-2-222002-200-22-22-2200000000000000000000
χ442-22-22-22-22-22-22-22-22-22-20000000000000000-22-22-22-20000200000000-2-222-2-22200-22002-22-22-200000000000000000000
χ452-2-22-222-222-2-22-2-222-2-22000000002-22-222-2-200002-2-222-2-220000000000000000000000002-2-222-2-220000000000000000
χ462-2-22-222-222-2-22-2-222-2-22000000002-22-222-2-200002-2-222-2-22000000000000000000000000-222-2-222-20000000000000000
χ472-2-22-222-222-2-22-2-222-2-2200000000-22-22-2-22200002-2-2-2-22220000000000000000000000002-2-22-222-20000000000000000
χ482-2-22-222-222-2-22-2-222-2-2200000000-22-22-2-22200002-2-2-2-2222000000000000000000000000-222-22-2-220000000000000000
χ492-2-22-222-22-222-2-2-222-2-222i2i−2i−2i−2i−2i2i2i2-2-2222-2-2−2i2i2i−2i-222-2-222-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ502-2-22-222-22-222-2-2-222-2-222i2i−2i−2i−2i−2i2i2i-222-2-2-2222i−2i−2i2i-22222-2-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ512-2-22-222-22-222-2-2-222-2-22−2i−2i2i2i2i2i−2i−2i2-2-2222-2-22i−2i−2i2i-222-2-222-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ522-2-22-222-22-222-2-2-222-2-22−2i−2i2i2i2i2i−2i−2i-222-2-2-222−2i2i2i−2i-22222-2-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ532-2-22-222-2-1-222-211-1-111-12i2i−2i−2i−2i−2i2i2i2-2-22-1-111−2i2i2i−2i1-1-111-1-11−i−iiiii−i−iii−i−i−i−iii00000000000000000000−i3i33−3−i3i33−30000
χ542-2-22-222-2-1-222-211-1-111-12i2i−2i−2i−2i−2i2i2i2-2-22-1-111−2i2i2i−2i1-1-111-1-11−i−iiiii−i−iii−i−i−i−iii00000000000000000000i3−i3−33i3−i3−330000
χ552-2-22-222-2-1-222-211-1-111-12i2i−2i−2i−2i−2i2i2i-222-211-1-12i−2i−2i2i1-1-1-1-1111−i−iiiii−i−i−i−iiiii−i−i00000000000000000000−i3i33−3i3−i3−330000
χ562-2-22-222-2-1-222-211-1-111-12i2i−2i−2i−2i−2i2i2i-222-211-1-12i−2i−2i2i1-1-1-1-1111−i−iiiii−i−i−i−iiiii−i−i00000000000000000000i3−i3−33−i3i33−30000
χ572-2-22-222-2-1-222-211-1-111-1−2i−2i2i2i2i2i−2i−2i2-2-22-1-1112i−2i−2i2i1-1-111-1-11ii−i−i−i−iii−i−iiiii−i−i00000000000000000000−i3i3−33−i3i3−330000
χ582-2-22-222-2-1-222-211-1-111-1−2i−2i2i2i2i2i−2i−2i2-2-22-1-1112i−2i−2i2i1-1-111-1-11ii−i−i−i−iii−i−iiiii−i−i00000000000000000000i3−i33−3i3−i33−30000
χ592-2-22-222-2-1-222-211-1-111-1−2i−2i2i2i2i2i−2i−2i-222-211-1-1−2i2i2i−2i1-1-1-1-1111ii−i−i−i−iiiii−i−i−i−iii00000000000000000000−i3i3−33i3−i33−30000
χ602-2-22-222-2-1-222-211-1-111-1−2i−2i2i2i2i2i−2i−2i-222-211-1-1−2i2i2i−2i1-1-1-1-1111ii−i−i−i−iiiii−i−i−i−iii00000000000000000000i3−i33−3−i3i3−330000
χ6144444444-2-4-4-4-4-2-2-2-2-2-2-20000000044-4-4-2-2-2-2000022222222000000000000000000000000000000000000000000000000
χ6244444444-2-4-4-4-4-2-2-2-2-2-2-200000000-4-44422220000222-2-2-2-22000000000000000000000000000000000000000000000000
χ63444-4-44-4-4400004-44-4-44-4−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ64444-4-44-4-4400004-44-4-44-42i2−2i22i2−2i22i2−2i22i2−2i2000000000000000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ65444-4-44-4-4-20000-22-222-22−2i22i2−2i22i2−2i22i2−2i22i200000000000000023−2323−230i2−i2i2−i2i2−i2i2−i2i6−i6i6−i6i6−i6i6−i600000000000000000000000000000000
χ66444-4-44-4-4-20000-22-222-22−2i22i2−2i22i2−2i22i2−2i22i2000000000000000−2323−23230i2−i2i2−i2i2−i2i2−i2−i6i6−i6i6−i6i6−i6i600000000000000000000000000000000
χ67444-4-44-4-4-20000-22-222-222i2−2i22i2−2i22i2−2i22i2−2i200000000000000023−2323−230−i2i2−i2i2−i2i2−i2i2−i6i6−i6i6−i6i6−i6i600000000000000000000000000000000
χ68444-4-44-4-4-20000-22-222-222i2−2i22i2−2i22i2−2i22i2−2i2000000000000000−2323−23230−i2i2−i2i2−i2i2−i2i2i6−i6i6−i6i6−i6i6−i600000000000000000000000000000000
χ6944-444-4-4-44000044-4-4-4-44−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ7044-444-4-4-44000044-4-4-4-442i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000002i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ7144-444-4-4-4-20000-2-22222-2−2i22i2−2i22i22i2−2i22i2−2i20000−2i32i3−2i32i3000000000000i2−i2i2−i2−i2i2−i2i26−66−6−66−6600000000000000000000000000000000
χ7244-444-4-4-4-20000-2-22222-2−2i22i2−2i22i22i2−2i22i2−2i200002i3−2i32i3−2i3000000000000i2−i2i2−i2−i2i2−i2i2−66−666−66−600000000000000000000000000000000
χ7344-444-4-4-4-20000-2-22222-22i2−2i22i2−2i2−2i22i2−2i22i20000−2i32i3−2i32i3000000000000−i2i2−i2i2i2−i2i2−i2−66−666−66−600000000000000000000000000000000
χ7444-444-4-4-4-20000-2-22222-22i2−2i22i2−2i2−2i22i2−2i22i200002i3−2i32i3−2i3000000000000−i2i2−i2i2i2−i2i2−i26−66−6−66−6600000000000000000000000000000000
χ7544-4-4-4-444-244-4-4-222-2-22200000000000000004i4i−4i−4i-2-220000200000000−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ7644-4-4-4-444-244-4-4-222-2-2220000000000000000−4i−4i4i4i-2-2200002000000002i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ7744-4-4-4-444-2-4-444-222-2-2224444-4-4-4-400000000000022-20000-2-2-2-2-222220000000000000000000000000000000000000000
χ7844-4-4-4-444-2-4-444-222-2-222-4-4-4-4444400000000000022-20000-22222-2-2-2-20000000000000000000000000000000000000000
χ794-444-4-4-4440000-4-4-4-444422−22−222222−22−22220000000000000000000022−22−222222−22−22220000000000000000000000000000000000000000
χ804-444-4-4-4440000-4-4-4-4444−222222−22−222222−2200000000000000000000−222222−22−222222−220000000000000000000000000000000000000000
χ814-444-4-4-44-200002222-2-2-222−22−222222−22−22220000−2i32i32i3−2i3000000000000−222−2−222−2−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000
χ824-444-4-4-44-200002222-2-2-222−22−222222−22−222200002i3−2i3−2i32i3000000000000−222−2−222−2i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000
χ834-444-4-4-44-200002222-2-2-2−222222−22−222222−220000−2i32i32i3−2i30000000000002−2−222−2−22i6−i6−i6i6i6−i6−i6i600000000000000000000000000000000
χ844-444-4-4-44-200002222-2-2-2−222222−22−222222−2200002i3−2i3−2i32i30000000000002−2−222−2−22−i6i6i6−i6−i6i6i6−i600000000000000000000000000000000
χ854-44-44-44-4-24-44-42-22-22-224i4i−4i−4i4i4i−4i−4i000000000000-22-200002−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ864-44-44-44-4-24-44-42-22-22-22−4i−4i4i4i−4i−4i4i4i000000000000-22-2000022i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ874-44-44-44-4-2-44-442-22-22-2200000000000000004-44-42-220000-200000000-2-222-2-22200000000000000000000000000000000
χ884-44-44-44-4-2-44-442-22-22-220000000000000000-44-442-220000-20000000022-2-222-2-200000000000000000000000000000000
χ894-4-44-444-4-24-4-4422-2-222-2000000004-44-4-2-2220000-222-2-222-2000000000000000000000000000000000000000000000000
χ904-4-44-444-4-24-4-4422-2-222-200000000-44-4422-2-20000-22222-2-2-2000000000000000000000000000000000000000000000000
χ914-4-4-444-4440000-444-44-4-422−22−2222−222222−220000000000000000000022−22−2222−222222−220000000000000000000000000000000000000000
χ924-4-4-444-4440000-444-44-4-4−222222−2222−22−222200000000000000000000−222222−2222−22−22220000000000000000000000000000000000000000
χ934-4-4-444-44-200002-2-22-22222−22−2222−222222−2200000000000000023−23−23230−222−22−2−22−666−66−6−6600000000000000000000000000000000
χ944-4-4-444-44-200002-2-22-22222−22−2222−222222−22000000000000000−232323−230−222−22−2−226−6−66−666−600000000000000000000000000000000
χ954-4-4-444-44-200002-2-22-222−222222−2222−22−222200000000000000023−23−232302−2−22−222−26−6−66−666−600000000000000000000000000000000
χ964-4-4-444-44-200002-2-22-222−222222−2222−22−2222000000000000000−232323−2302−2−22−222−2−666−66−6−6600000000000000000000000000000000

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