Finite Group Databasebeta

← Group #10770429

Character table — Group #10770429

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222222244444444444888888881616161616161616161616161616161624242424242424242424242424242424
order1222223446664444466121212122444121212124468812121212121212242424244444444444448888
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1
χ611111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111
χ711111111111111111111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111
χ811111111111111111111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1
χ91111111-1-1111-1-1-11111-1-11111-1-11-1-1-11-111-11-1-111-1-111-1-11-11-11-11-111-1-111-1-1
χ101111111-1-1111-1-1-11111-1-11111-1-11-1-1-11-111-11-1-111-1-111-1-1-11-11-11-11-1-111-1-111
χ111111111-1-1111-1-1-11111-1-11111-1-11-1-1-1-111-111-1-1-1-111-1-1111-11-11-11-1-1-111-1-111
χ121111111-1-1111-1-1-11111-1-11111-1-11-1-1-1-111-111-1-1-1-111-1-111-11-11-11-1111-1-111-1-1
χ131111111-1-1111-1-1-11111-1-111-1-1111-1-1-11-1-1-11-11111-1-1-1-1111-1-111-1-1111-1-1-1-111
χ141111111-1-1111-1-1-11111-1-111-1-1111-1-1-11-1-1-11-11111-1-1-1-111-111-1-111-1-1-11111-1-1
χ151111111-1-1111-1-1-11111-1-111-1-1111-1-1-1-11-11-1-111-1-11111-1-11-1-111-1-11-1-11111-1-1
χ161111111-1-1111-1-1-11111-1-111-1-1111-1-1-1-11-11-1-111-1-11111-1-1-111-1-111-111-1-1-1-111
χ17222222222222-2-22-2-22222-2-20000-2-2-2200000000000000002200-2-20000000000
χ18222222222222-2-22-2-22222-2-20000-2-2-220000000000000000-2-200220000000000
χ192222222-2-222222-2-2-222-2-2-2-20000-222-200000000000000002-200-220000000000
χ202222222-2-222222-2-2-222-2-2-2-20000-222-20000000000000000-22002-20000000000
χ21222222-122-1-1-122222-1-1-1-1-1-12222-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ22222222-122-1-1-122222-1-1-1-1-1-12222-1-1-1-1-2-2-1-2-2-1-1-1111111110000000000000000
χ23222222-122-1-1-122222-1-1-1-1-1-1-2-2-2-2-1-1-1-1221-2-2111-1-1-1-111110000000000000000
χ24222222-122-1-1-122222-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-21221111111-1-1-1-10000000000000000
χ25222222-1-2-2-1-1-1-2-2-222-1-111-1-122-2-2-11112-2-12-2-111-1-111-1-1110000000000000000
χ26222222-1-2-2-1-1-1-2-2-222-1-111-1-122-2-2-1111-22-1-22-11111-1-111-1-10000000000000000
χ27222222-1-2-2-1-1-1-2-2-222-1-111-1-1-2-222-11112-21-221-1-1-1-11111-1-10000000000000000
χ28222222-1-2-2-1-1-1-2-2-222-1-111-1-1-2-222-1111-2212-21-1-111-1-1-1-1110000000000000000
χ292222-2-22222222-2-22-2-2-222222-22-2-22-2-200200-2-22000000000000000000000000
χ302222-2-22222222-2-22-2-2-22222-22-22-22-2-200-20022-2000000000000000000000000
χ312222-2-2222222-22-2-22-2-222-2-200002-22-20000000000000000002200-2-200000000
χ322222-2-2222222-22-2-22-2-222-2-200002-22-2000000000000000000-2-2002200000000
χ332222-2-22-2-22222-22-22-2-2-2-2-2-2000022-220000000000000000002-200-2200000000
χ342222-2-22-2-22222-22-22-2-2-2-2-2-2000022-22000000000000000000-22002-200000000
χ352222-2-22-2-2222-2222-2-2-2-2-2222-2-22-2-22200200-22-2000000000000000000000000
χ362222-2-22-2-2222-2222-2-2-2-2-222-222-2-2-22200-2002-22000000000000000000000000
χ372222-2-2-122-1-1-12-2-22-211-1-1-1-12-22-21-11100-10011-1−i3i3−i3i3−i3i3−i3i30000000000000000
χ382222-2-2-122-1-1-12-2-22-211-1-1-1-12-22-21-11100-10011-1i3−i3i3−i3i3−i3i3−i30000000000000000
χ392222-2-2-122-1-1-12-2-22-211-1-1-1-1-22-221-11100100-1-11−i3i3−i3i3i3−i3i3−i30000000000000000
χ402222-2-2-122-1-1-12-2-22-211-1-1-1-1-22-221-11100100-1-11i3−i3i3−i3−i3i3−i3i30000000000000000
χ412222-2-2-1-2-2-1-1-1-2222-21111-1-12-2-2211-1-100-1001-11−i3i3i3−i3−i3i3i3−i30000000000000000
χ422222-2-2-1-2-2-1-1-1-2222-21111-1-12-2-2211-1-100-1001-11i3−i3−i3i3i3−i3−i3i30000000000000000
χ432222-2-2-1-2-2-1-1-1-2222-21111-1-1-222-211-1-100100-11-1−i3i3i3−i3i3−i3−i3i30000000000000000
χ442222-2-2-1-2-2-1-1-1-2222-21111-1-1-222-211-1-100100-11-1i3−i3−i3i3−i3i3i3−i30000000000000000
χ45444444-244-2-2-2-4-44-4-4-2-2-2-2220000222-200000000000000000000000000000000
χ46444444-2-4-4-2-2-244-4-4-4-2-2222200002-2-2200000000000000000000000000000000
χ474444-4-4-244-2-2-2-44-4-4422-2-2220000-22-2200000000000000000000000000000000
χ484444-4-4-2-4-4-2-2-24-44-442222220000-2-22-200000000000000000000000000000000
χ4944-4-44-44004-4-4000004-4000000000000000000000000000000000000000022−2200
χ5044-4-44-44004-4-4000004-40000000000000000000000000000000000000000−222200
χ5144-4-4-444004-4-400000-4400000000000000000000000000000000000000000022−22
χ5244-4-4-444004-4-400000-44000000000000000000000000000000000000000000−2222
χ534-44-40044-4-4-4400000004-400000000000000000000000000000000002i−2i2i−2i0000
χ544-44-40044-4-4-4400000004-40000000000000000000000000000000000−2i2i−2i2i0000
χ554-44-4004-44-4-440000000-4400000000000000000000000000000000002i−2i−2i2i0000
χ564-44-4004-44-4-440000000-440000000000000000000000000000000000−2i2i2i−2i0000
χ5788-8-88-8-400-44400000-4400000000000000000000000000000000000000000000
χ5888-8-8-88-400-444000004-400000000000000000000000000000000000000000000
χ598-88-800-48-844-40000000-44000000000000000000000000000000000000000000
χ608-88-800-4-8844-400000004-4000000000000000000000000000000000000000000
χ618-8-8800800-88-8000000000000000000000000000000000000000000000000000
χ628-8-8800-4004-44000000000−4i34i30000000000000000000000000000000000000000
χ638-8-8800-4004-440000000004i3−4i30000000000000000000000000000000000000000

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