Finite Group Databasebeta

← Group #10943846

Character table — Group #10943846

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222222222222222444444444444444444666666668888888888888888888888121212121212121212121212161616161616242424244848
order122222222222344446666666222222224466661212121244444444666666668888121224242424242424242222444444444412121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ911111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-11-1
χ1011111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-11-1-111-1-111-11
χ1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-111-11
χ1211111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111-11-1-11111-1-11-1
χ1311111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-11-1-11111-1-1-11
χ1411111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111111-111-1-1-1-1111-1
χ1511111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-11-1-111-1-1111-1
χ1611111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-11-111-1-111-1-1-11
χ172222222222222-2-2-2-2222222200000000-2-22222-2-2-2-222222222000000000000-2-200000000-2-2-2-200000000000000000000
χ182222222222222-2-2-2-2222222200000000-2-22222-2-2-2-2-2-2-2-2-2-2-2-2000000000000-2-200000000222200000000000000000000
χ19222222222222-12222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000000
χ20222222222222-12222-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1-2-2-2-2-1-111111111000000000000-2-21111000000
χ21222222222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-100000000111111112222-1-1-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ22222222222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-10000000011111111-2-2-2-2-1-11111111100000000000022-1-1-1-1000000
χ2322222222-2-2-2-22-2-2-2-222222220000000022-2-2-2-2-2-2-2-22222-2-2-2-20000000000002200000000-2-22200000000000000000000
χ2422222222-2-2-2-22-2-2-2-222222220000000022-2-2-2-2-2-2-2-2-2-2-2-22222000000000000220000000022-2-200000000000000000000
χ2522222222-2-2-2-2-12222-1-1-1-1-1-1-12222-2-2-2-2-2-21111-1-1-1-100000000-1-1-1-1111122-2-211-1-1-1-111110000000000002-2-1-111000000
χ2622222222-2-2-2-2-12222-1-1-1-1-1-1-12222-2-2-2-2-2-21111-1-1-1-100000000-1-1-1-11111-2-222111111-1-1-1-1000000000000-2211-1-1000000
χ2722222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-2-22222-2-21111-1-1-1-1000000001111-1-1-1-122-2-211-1-1-1-11111000000000000-2211-1-1000000
χ2822222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-2-22222-2-21111-1-1-1-1000000001111-1-1-1-1-2-222111111-1-1-1-10000000000002-2-1-111000000
χ2922-2-22-2-2222-2-2222-2-22-2-2-2-22222-2-222-2-22-222-2-2-2-2220000000022-2-222-2-200002-200000000000000000000000000000000
χ3022-2-22-2-2222-2-2222-2-22-2-2-2-222-2-222-2-2222-222-2-2-2-22200000000-2-222-2-22200002-200000000000000000000000000000000
χ3122-2-22-2-2222-2-22-2-2222-2-2-2-22200000000-2222-2-222-2-200000000000000000000-2200000000000022-2-222-2-2000000000000
χ3222-2-22-2-2222-2-22-2-2222-2-2-2-22200000000-2222-2-222-2-200000000000000000000-22000000000000-2-222-2-222000000000000
χ3322-2-22-2-2222-2-2-122-2-2-11111-1-122-2-222-2-22-2-1-11111-1-100000000-1-111-1-1110000-11−i3−i3i3i3−i3−i3i3i300000000000000−i3i3−i3i3000000
χ3422-2-22-2-2222-2-2-122-2-2-11111-1-122-2-222-2-22-2-1-11111-1-100000000-1-111-1-1110000-11i3i3−i3−i3i3i3−i3−i300000000000000i3−i3i3−i3000000
χ3522-2-22-2-2222-2-2-122-2-2-11111-1-1-2-222-2-2222-2-1-11111-1-10000000011-1-111-1-10000-11−i3−i3i3i3−i3−i3i3i300000000000000i3−i3i3−i3000000
χ3622-2-22-2-2222-2-2-122-2-2-11111-1-1-2-222-2-2222-2-1-11111-1-10000000011-1-111-1-10000-11i3i3−i3−i3i3i3−i3−i300000000000000−i3i3−i3i3000000
χ3722-2-22-2-22-2-222222-2-22-2-2-2-22222-2-2-2-222-22-2-222-2-2220000000022-2-2-2-2220000-2200000000000000000000000000000000
χ3822-2-22-2-22-2-222222-2-22-2-2-2-222-2-22222-2-2-22-2-222-2-22200000000-2-22222-2-20000-2200000000000000000000000000000000
χ3922-2-22-2-22-2-2222-2-2222-2-2-2-222000000002-2-2-22222-2-2000000000000000000002-200000000000022-2-2-2-222000000000000
χ4022-2-22-2-22-2-2222-2-2222-2-2-2-222000000002-2-2-22222-2-2000000000000000000002-2000000000000-2-22222-2-2000000000000
χ4122-2-22-2-22-2-222-122-2-2-11111-1-122-2-2-2-222-2211-1-111-1-100000000-1-11111-1-100001-1−i3−i3i3i3i3i3−i3−i300000000000000−i3i3i3−i3000000
χ4222-2-22-2-22-2-222-122-2-2-11111-1-122-2-2-2-222-2211-1-111-1-100000000-1-11111-1-100001-1i3i3−i3−i3−i3−i3i3i300000000000000i3−i3−i3i3000000
χ4322-2-22-2-22-2-222-122-2-2-11111-1-1-2-22222-2-2-2211-1-111-1-10000000011-1-1-1-11100001-1−i3−i3i3i3i3i3−i3−i300000000000000i3−i3−i3i3000000
χ4422-2-22-2-22-2-222-122-2-2-11111-1-1-2-22222-2-2-2211-1-111-1-10000000011-1-1-1-11100001-1i3i3−i3−i3−i3−i3i3i300000000000000−i3i3i3−i3000000
χ4522-2-2-222-22-22-220000222-2-2-2-200000000002-22-200002i2i−2i−2i2i2i−2i−2i00000000−i2i2−i2i200−i2i2−i2i2−i2i2−i2i20000000000000000002−22−200
χ4622-2-2-222-22-22-220000222-2-2-2-200000000002-22-200002i2i−2i−2i2i2i−2i−2i00000000i2−i2i2−i200i2−i2i2−i2i2−i2i2−i2000000000000000000−22−2200
χ4722-2-2-222-22-22-220000222-2-2-2-200000000002-22-20000−2i−2i2i2i−2i−2i2i2i00000000−i2i2−i2i200−i2i2−i2i2−i2i2−i2i2000000000000000000−22−2200
χ4822-2-2-222-22-22-220000222-2-2-2-200000000002-22-20000−2i−2i2i2i−2i−2i2i2i00000000i2−i2i2−i200i2−i2i2−i2i2−i2i2−i20000000000000000002−22−200
χ4922-2-2-222-2-22-2220000222-2-2-2-20000000000-22-2200002i2i−2i−2i−2i−2i2i2i00000000−i2i2i2−i200−i2i2−i2i2i2−i2i2−i20000000000000000002−2−2200
χ5022-2-2-222-2-22-2220000222-2-2-2-20000000000-22-2200002i2i−2i−2i−2i−2i2i2i00000000i2−i2−i2i200i2−i2i2−i2−i2i2−i2i2000000000000000000−222−200
χ5122-2-2-222-2-22-2220000222-2-2-2-20000000000-22-220000−2i−2i2i2i2i2i−2i−2i00000000−i2i2i2−i200−i2i2−i2i2i2−i2i2−i2000000000000000000−222−200
χ5222-2-2-222-2-22-2220000222-2-2-2-20000000000-22-220000−2i−2i2i2i2i2i−2i−2i00000000i2−i2−i2i200i2−i2i2−i2−i2i2−i2i20000000000000000002−2−2200
χ532-22-2-22-22000022-22-2-22-22-2-2200002-22-20000002-22-200002-22-200002-22-200000000000000002-22-22-20000000000000000
χ542-22-2-22-22000022-22-2-22-22-2-2200002-22-20000002-22-20000-22-2200002-22-20000000000000000-22-22-220000000000000000
χ552-22-2-22-22000022-22-2-22-22-2-220000-22-220000002-22-200002-22-20000-22-2200000000000000002-2-22-220000000000000000
χ562-22-2-22-22000022-22-2-22-22-2-220000-22-220000002-22-20000-22-220000-22-220000000000000000-222-22-20000000000000000
χ572-22-2-22-2200002-22-22-22-22-2-222-22-20000000000-22-2200002-22-22-22-200000000000000000000-2200002-22-2000000000000
χ582-22-2-22-2200002-22-22-22-22-2-222-22-20000000000-22-220000-22-222-22-2000000000000000000002-20000-22-22000000000000
χ592-22-2-22-2200002-22-22-22-22-2-22-22-220000000000-22-2200002-22-2-22-2200000000000000000000-220000-22-22000000000000
χ602-22-2-22-2200002-22-22-22-22-2-22-22-220000000000-22-220000-22-22-22-22000000000000000000002-200002-22-2000000000000
χ612-2-22-2-222000022-2-22-2-22-22-2200002-2-22000000-222-22-22-2000000002-2-22000000000000002-20000002-2-22000000000000
χ622-2-22-2-222000022-2-22-2-22-22-2200002-2-22000000-222-2-22-22000000002-2-2200000000000000-22000000-222-2000000000000
χ632-2-22-2-222000022-2-22-2-22-22-220000-222-2000000-222-22-22-200000000-222-2000000000000002-2000000-222-2000000000000
χ642-2-22-2-222000022-2-22-2-22-22-220000-222-2000000-222-2-22-2200000000-222-200000000000000-220000002-2-22000000000000
χ652-2-22-2-22200002-222-2-2-22-22-222-2-2200000000002-2-222-22-200002-2-22000000000000000000-22002-2-220000000000000000
χ662-2-22-2-22200002-222-2-2-22-22-222-2-2200000000002-2-22-22-2200002-2-220000000000000000002-200-222-20000000000000000
χ672-2-22-2-22200002-222-2-2-22-22-22-222-200000000002-2-222-22-20000-222-2000000000000000000-2200-222-20000000000000000
χ682-2-22-2-22200002-222-2-2-22-22-22-222-200000000002-2-22-22-220000-222-20000000000000000002-2002-2-220000000000000000
χ69444444444444-2-4-4-4-4-2-2-2-2-2-2-200000000-4-4-2-2-2-22222000000000000000000002200000000000000000000000000000000
χ7044444444-4-4-4-4-2-4-4-4-4-2-2-2-2-2-2-200000000442222222200000000000000000000-2-200000000000000000000000000000000
χ714444-4-4-4-44-4-44400004-4-444-4-400000000004-4-440000000000000000000000000000000000000000000000000000000000
χ724444-4-4-4-44-4-44-20000-222-2-2220000000000-222-2000000000000000000000000006−6−666−6−66000000000000000000000000
χ734444-4-4-4-44-4-44-20000-222-2-2220000000000-222-200000000000000000000000000−666−6−666−6000000000000000000000000
χ744444-4-4-4-4-444-4400004-4-444-4-40000000000-444-40000000000000000000000000000000000000000000000000000000000
χ754444-4-4-4-4-444-4-20000-222-2-22200000000002-2-22000000000000000000000000006−6−66−666−6000000000000000000000000
χ764444-4-4-4-4-444-4-20000-222-2-22200000000002-2-2200000000000000000000000000−666−66−6−66000000000000000000000000
χ7744-4-44-4-4444-4-4-2-4-444-22222-2-200000000-44-2-222-2-222000000000000000000002-200000000000000000000000000000000
χ7844-4-44-4-44-4-444-2-4-444-22222-2-2000000004-422-2-2-2-22200000000000000000000-2200000000000000000000000000000000
χ7944-4-4-444-44-44-4-20000-2-2-222220000000000-22-2200000000000000000000−2i22i2−2i22i200i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ8044-4-4-444-44-44-4-20000-2-2-222220000000000-22-22000000000000000000002i2−2i22i2−2i200−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ8144-4-4-444-4-44-44-20000-2-2-2222200000000002-22-200000000000000000000−2i22i22i2−2i200i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ8244-4-4-444-4-44-44-20000-2-2-2222200000000002-22-2000000000000000000002i2−2i2−2i22i200−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ834-44-44-44-4000040000-4-444-44-40000000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000
χ844-44-44-44-4000040000-4-444-44-4000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000
χ854-44-4-44-440000-24-44-42-22-222-200004-44-4000000-22-22000000000000-22-2200000000000000000000000000000000000000
χ864-44-4-44-440000-24-44-42-22-222-20000-44-44000000-22-220000000000002-22-200000000000000000000000000000000000000
χ874-44-4-44-440000-2-44-442-22-222-24-44-400000000002-22-200000000-22-22000000000000000000000000000000000000000000
χ884-44-4-44-440000-2-44-442-22-222-2-44-4400000000002-22-2000000002-22-2000000000000000000000000000000000000000000
χ894-4-4444-4-4000040000-44-4-444-400000000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ904-4-4444-4-4000040000-44-4-444-40000000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ914-4-44-4-4440000-24-4-4422-22-22-200004-4-440000002-2-22000000000000-222-200000000000000000000000000000000000000
χ924-4-44-4-4440000-24-4-4422-22-22-20000-444-40000002-2-220000000000002-2-2200000000000000000000000000000000000000
χ934-4-44-4-4440000-2-444-422-22-22-24-4-440000000000-222-200000000-222-2000000000000000000000000000000000000000000
χ944-4-44-4-4440000-2-444-422-22-22-2-444-40000000000-222-2000000002-2-22000000000000000000000000000000000000000000
χ958-88-88-88-80000-4000044-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ968-8-8888-8-80000-400004-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000

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