Finite Group Databasebeta

← Group #10883492

Character table — Group #10883492

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222222244444444444466668888888888888888881212121212121616161616161616161624242424242424244848
order12222234444444466644661212121212121212888822224444666612121212121288888866881212242424244444888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-111
χ5111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1
χ91111111-1-1-1-11111111-1-111111-1-1-1-111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1111-11-11-111-1-111-1-111-1-11-1
χ101111111-1-1-1-11111111-1-111111-1-1-1-11111111-11-1-1-111111-1-1-1-1-1-1-1-1-1-111-11-11-11-1-11111-1-1-1-111-11
χ111111111-1-1-1-11111111-1-111111-1-1-1-111111-1-11-1111-1-1-1-1-1-1-11111-1-1-1-1111-1-111-1-1-111-1-11111-1-1-11
χ121111111-1-1-1-11111111-1-111111-1-1-1-111111-1-1-1111-11-1-1-1-1-1-11111-1-1-1-111-111-1-1111-1-1-1-111-1-1111-1
χ131111111-1-1-1-11111111-1-111111-1-1-1-11-1-1-1-1111-1-1-11-11111-1-1-1-1-1-11111-1-11-11-11-111-1-1-1-111-1-111-11
χ141111111-1-1-1-11111111-1-111111-1-1-1-11-1-1-1-111-11-1-1-111111-1-1-1-1-1-11111-1-1-11-11-11-1-111-1-11111-1-11-1
χ151111111-1-1-1-11111111-1-111111-1-1-1-11-1-1-1-1-1-11-1111-1-1-1-1-1-1-111111111-1-11-1-111-1-1-11111-1-1-1-1111-1
χ161111111-1-1-1-11111111-1-111111-1-1-1-11-1-1-1-1-1-1-1111-11-1-1-1-1-1-111111111-1-1-111-1-1111-1-111-1-111-1-1-11
χ1722222222222-2-2-2-2222-2-222-2-2-22222-20000000000000000-2-20000000000000000000000002i−2i2i−2i00
χ1822222222222-2-2-2-2222-2-222-2-2-22222-20000000000000000-2-2000000000000000000000000−2i2i−2i2i00
χ192222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-20000000000000000220000000000000000000000002i−2i−2i2i00
χ202222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2000000000000000022000000000000000000000000−2i2i2i−2i00
χ21222222-122222222-1-1-122-1-1-1-1-1-1-1-1-1-1000022222222-1-1-1-1-1-1-1-1-1-1000000-1-122-1-1-1-1-1-10000000000
χ22222222-122222222-1-1-122-1-1-1-1-1-1-1-1-1-1000022-2-222-2-2-1-1-1-1-1-1-1-1-1-100000011-2-21111110000000000
χ23222222-122222222-1-1-122-1-1-1-1-1-1-1-1-1-10000-2-222-2-2221111-1-11111000000-1-1-2-2-1-111110000000000
χ24222222-122222222-1-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-21111-1-11111000000112211-1-1-1-10000000000
χ25222222-1-2-2-2-22222-1-1-1-2-2-1-1-1-1-11111-10000222-2-2-22-2-1-1-1-1111111000000-112-2-11-1-1110000000000
χ26222222-1-2-2-2-22222-1-1-1-2-2-1-1-1-1-11111-1000022-22-2-2-22-1-1-1-11111110000001-1-221-111-1-10000000000
χ27222222-1-2-2-2-22222-1-1-1-2-2-1-1-1-1-11111-10000-2-22-2222-2111111-1-1-1-1000000-11-22-1111-1-10000000000
χ28222222-1-2-2-2-22222-1-1-1-2-2-1-1-1-1-11111-10000-2-2-2222-22111111-1-1-1-10000001-12-21-1-1-1110000000000
χ292222-2-2222-2-22-22-22222-2-2-22-2-222-2-220000002200-2-200002-200000000002200-2-200000000000000
χ302222-2-2222-2-22-22-22222-2-2-22-2-222-2-22000000-2-2002200002-20000000000-2-2002200000000000000
χ312222-2-2222-2-2-22-22222-22-2-2-22222-2-2-22222000000000000-22000022-2-2-2-200000000000000000000
χ322222-2-2222-2-2-22-22222-22-2-2-22222-2-2-2-2-2-2-2000000000000-220000-2-2222200000000000000000000
χ332222-2-22-2-2222-22-2222-22-2-22-2-2-2-22220000002-200-220000-2200000000002-200-2200000000000000
χ342222-2-22-2-2222-22-2222-22-2-22-2-2-2-2222000000-22002-20000-220000000000-22002-200000000000000
χ352222-2-22-2-222-22-222222-2-2-2-222-2-222-222220000000000002-20000-2-222-2-200000000000000000000
χ362222-2-22-2-222-22-222222-2-2-2-222-2-222-2-2-2-2-20000000000002-2000022-2-22200000000000000000000
χ372222-2-2-122-2-22-22-2-1-1-12-211-111-1-111-10000002200-2-2−i3−i3i3i3-11−i3−i3i3i3000000-1-10011−i3i3−i3i30000000000
χ382222-2-2-122-2-22-22-2-1-1-12-211-111-1-111-10000002200-2-2i3i3−i3−i3-11i3i3−i3−i3000000-1-10011i3−i3i3−i30000000000
χ392222-2-2-122-2-22-22-2-1-1-12-211-111-1-111-1000000-2-20022−i3−i3i3i3-11−i3−i3i3i30000001100-1-1i3−i3i3−i30000000000
χ402222-2-2-122-2-22-22-2-1-1-12-211-111-1-111-1000000-2-20022i3i3−i3−i3-11i3i3−i3−i30000001100-1-1−i3i3−i3i30000000000
χ412222-2-2-1-2-2222-22-2-1-1-1-2211-11111-1-1-10000002-200-22−i3−i3i3i31-1i3i3−i3−i3000000-11001-1−i3i3i3−i30000000000
χ422222-2-2-1-2-2222-22-2-1-1-1-2211-11111-1-1-10000002-200-22i3i3−i3−i31-1−i3−i3i3i3000000-11001-1i3−i3−i3i30000000000
χ432222-2-2-1-2-2222-22-2-1-1-1-2211-11111-1-1-1000000-22002-2−i3−i3i3i31-1i3i3−i3−i30000001-100-11i3−i3−i3i30000000000
χ442222-2-2-1-2-2222-22-2-1-1-1-2211-11111-1-1-1000000-22002-2i3i3−i3−i31-1−i3−i3i3i30000001-100-11−i3i3i3−i30000000000
χ452-2-222-22000022-2-2-22-2002-2-22-2000022i2i−2i−2i2-20000002-22-200000000002i−2i00000000002i−2i00000000
χ462-2-222-22000022-2-2-22-2002-2-22-2000022i2i−2i−2i-22000000-22-2200000000002i−2i0000000000−2i2i00000000
χ472-2-222-22000022-2-2-22-2002-2-22-200002−2i−2i2i2i2-20000002-22-20000000000−2i2i0000000000−2i2i00000000
χ482-2-222-22000022-2-2-22-2002-2-22-200002−2i−2i2i2i-22000000-22-220000000000−2i2i00000000002i−2i00000000
χ492-2-22-2220000-222-2-22-200-2222-20000-22i2i−2i−2i00002i−2i000000002i−2i2i−2i0000−2i2i0000000000002-2000000
χ502-2-22-2220000-222-2-22-200-2222-20000-22i2i−2i−2i0000−2i2i00000000−2i2i−2i2i0000−2i2i000000000000-22000000
χ512-2-22-2220000-222-2-22-200-2222-20000-2−2i−2i2i2i00002i−2i000000002i−2i2i−2i00002i−2i000000000000-22000000
χ522-2-22-2220000-222-2-22-200-2222-20000-2−2i−2i2i2i0000−2i2i00000000−2i2i−2i2i00002i−2i0000000000002-2000000
χ53444444-24444-4-4-4-4-2-2-2-4-4-2-2222-2-2-2-22000000000000000022000000000000000000000000000000
χ54444444-2-4-4-4-4-4-4-4-4-2-2-244-2-2222222220000000000000000-2-2000000000000000000000000000000
χ554444-4-4-244-4-4-44-44-2-2-2-44222-2-2-2-222200000000000000002-2000000000000000000000000000000
χ564444-4-4-2-4-444-44-44-2-2-24-4222-2-222-2-220000000000000000-22000000000000000000000000000000
χ5744-4-40044-4000000-4-4400000004-4000−2i22i2−2i22i2000000000000000000−2i22i2000000000000000000000000
χ5844-4-40044-4000000-4-4400000004-40002i2−2i22i2−2i20000000000000000002i2−2i2000000000000000000000000
χ5944-4-4004-44000000-4-440000000-44000−2i22i2−2i22i20000000000000000002i2−2i2000000000000000000000000
χ6044-4-4004-44000000-4-440000000-440002i2−2i22i2−2i2000000000000000000−2i22i2000000000000000000000000
χ614-44-4004004i−4i00004-4-40000000004i−4i022−22−222200000000000000000000−2i22i20000000000000000000000
χ624-44-4004004i−4i00004-4-40000000004i−4i0−222222−22000000000000000000002i2−2i20000000000000000000000
χ634-44-400400−4i4i00004-4-4000000000−4i4i022−22−2222000000000000000000002i2−2i20000000000000000000000
χ644-44-400400−4i4i00004-4-4000000000−4i4i0−222222−2200000000000000000000−2i22i20000000000000000000000
χ654-4-444-440000-4-444-44-4004-44-440000-4000000000000000000000000000000000000000000000000
χ664-4-444-4-2000044-4-42-2200-222-220000-200004-4000000-22-2200000000000000000000000000000000
χ674-4-444-4-2000044-4-42-2200-222-220000-20000-440000002-22-200000000000000000000000000000000
χ684-4-444-4-20000-4-4442-2200-22-22-20000200000000000000000023−23−232300000000000000000000000000
χ694-4-444-4-20000-4-4442-2200-22-22-200002000000000000000000−232323−2300000000000000000000000000
χ704-4-44-44400004-4-44-44-400-44-4-4400004000000000000000000000000000000000000000000000000
χ714-4-44-44-200004-4-442-22002-222-20000-2000000000000−2i32i32i3−2i300000000000000000000000000000000
χ724-4-44-44-200004-4-442-22002-222-20000-20000000000002i3−2i3−2i32i300000000000000000000000000000000
χ734-4-44-44-20000-444-42-22002-2-2-2200002000000004i−4i00000000−2i2i−2i2i00000000000000000000000000
χ744-4-44-44-20000-444-42-22002-2-2-220000200000000−4i4i000000002i−2i2i−2i00000000000000000000000000
χ7588-8-800-48-800000044-40000000-44000000000000000000000000000000000000000000000000000
χ7688-8-800-4-8800000044-400000004-4000000000000000000000000000000000000000000000000000
χ778-88-800-4008i−8i0000-444000000000−4i4i0000000000000000000000000000000000000000000000000
χ788-88-800-400−8i8i0000-4440000000004i−4i0000000000000000000000000000000000000000000000000

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