Finite Group Databasebeta

← Group #10945050

Character table — Group #10945050

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222244444444444444444444888888888888888888888812121212121212121212121212121212161616161616242424244848
order12222222344446666666224444444444666612121212888812121212121212121212242424242424242444444444444444444412121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1
χ911111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11-1-1-11111-1-11-1
χ1011111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1-111-1-111-11
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1111-1-1-1-111-11
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1111-1-111-1-11-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1111-1-111-1-1-11
χ1411111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1111-1-1-1-1111-1
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111111-1-1-111-1-1111-1
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-111-1-1-1-11-1-1-11111-1-1-11
χ17222222222-2-2-2-2222222222-2-2000000002222-2-2-2-20000-2-2000000000000000022-2-20000-2-2220000000000000000
χ18222222222-2-2-2-2222222222-2-2000000002222-2-2-2-20000-2-20000000000000000-2-222000022-2-20000000000000000
χ19222222222-2-2-2-22222222-2-22200000000-2-2-2-2-2-2-2-2000022000000000000000022220000-2-2-2-20000000000000000
χ20222222222-2-2-2-22222222-2-22200000000-2-2-2-2-2-2-2-20000220000000000000000-2-2-2-2000022220000000000000000
χ2122222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-1-1-1000000
χ2222222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-21111000000
χ2322222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-12222-1-111111111-1-1-1-1-1-1-1-10000000000000000-2-21111000000
χ2422222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-1-11111111111111111000000000000000022-1-1-1-1000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-21111-1-1-1-122-2-211-1-1-1-11111-1-1-1-1111100000000000000002-211-1-1000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-21111-1-1-1-1-2-22211-1-1-1-111111111-1-1-1-10000000000000000-22-1-111000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111-1-1-1-122-2-2111111-1-1-1-1-1-1-1-111110000000000000000-22-1-111000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111-1-1-1-1-2-222111111-1-1-1-11111-1-1-1-100000000000000002-211-1-1000000
χ2922-22-22-2-222-22-222-2-2-2-220000000022-2-200002-22-2000000000022-2-200000000002i−2i2i2i−2i−2i002i−2i0000000000000000
χ3022-22-22-2-222-22-222-2-2-2-220000000022-2-200002-22-2000000000022-2-20000000000−2i2i−2i−2i2i2i00−2i2i0000000000000000
χ3122-22-22-2-222-22-222-2-2-2-2200000000-2-22200002-22-20000000000-2-22200000000002i−2i−2i−2i2i2i002i−2i0000000000000000
χ3222-22-22-2-222-22-222-2-2-2-2200000000-2-22200002-22-20000000000-2-2220000000000−2i2i2i2i−2i−2i00−2i2i0000000000000000
χ3322-22-22-2-22-22-2222-2-2-2-22000022-2-200000000-22-2200000022-2-2000000000000002i−2i000000−2i2i2i2i−2i−2i000000000000
χ3422-22-22-2-22-22-2222-2-2-2-22000022-2-200000000-22-2200000022-2-200000000000000−2i2i0000002i−2i−2i−2i2i2i000000000000
χ3522-22-22-2-22-22-2222-2-2-2-220000-2-22200000000-22-22000000-2-222000000000000002i−2i000000−2i2i−2i−2i2i2i000000000000
χ3622-22-22-2-22-22-2222-2-2-2-220000-2-22200000000-22-22000000-2-22200000000000000−2i2i0000002i−2i2i2i−2i−2i000000000000
χ372-22-222-2-222-2-22-2-222-2-22000000002-22-20000-222-200000000002-22-2000000002i−2i0000002i−2i002i−2i2i−2i000000000000
χ382-22-222-2-222-2-22-2-222-2-22000000002-22-20000-222-200000000002-22-200000000−2i2i000000−2i2i00−2i2i−2i2i000000000000
χ392-22-222-2-222-2-22-2-222-2-2200000000-22-220000-222-20000000000-22-22000000002i−2i0000002i−2i00−2i2i−2i2i000000000000
χ402-22-222-2-222-2-22-2-222-2-2200000000-22-220000-222-20000000000-22-2200000000−2i2i000000−2i2i002i−2i2i−2i000000000000
χ412-22-222-2-22-222-2-2-222-2-2200002-22-2000000002-2-220000002-22-20000000000002i−2i002i−2i2i−2i−2i2i000000000000000000
χ422-22-222-2-22-222-2-2-222-2-2200002-22-2000000002-2-220000002-22-2000000000000−2i2i00−2i2i−2i2i2i−2i000000000000000000
χ432-22-222-2-22-222-2-2-222-2-220000-22-22000000002-2-22000000-22-220000000000002i−2i00−2i2i−2i2i−2i2i000000000000000000
χ442-22-222-2-22-222-2-2-222-2-220000-22-22000000002-2-22000000-22-22000000000000−2i2i002i−2i2i−2i2i−2i000000000000000000
χ452-2-2-2-2222222-2-2-2-2-2-22222-22-22-2-222-2-2222-2-2-2-22200002-22-2-222-2-22000000000000000000000000000000000000
χ462-2-2-2-2222222-2-2-2-2-2-22222-22-2-222-2-222-222-2-2-2-22200002-2-222-2-222-2000000000000000000000000000000000000
χ472-2-2-2-2222222-2-2-2-2-2-2222-22-222-2-22-222-2-2-222-2-2220000-222-2-22-222-2000000000000000000000000000000000000
χ482-2-2-2-2222222-2-2-2-2-2-2222-22-22-222-22-2-22-2-222-2-2220000-22-222-22-2-22000000000000000000000000000000000000
χ492-2-2-2-22222-2-222-2-2-2-22222-2-220000000022-2-222-2-20000-22000000000000000000002-2-220000-222-2000000000000
χ502-2-2-2-22222-2-222-2-2-2-22222-2-220000000022-2-222-2-20000-2200000000000000000000-222-200002-2-22000000000000
χ512-2-2-2-22222-2-222-2-2-2-2222-222-200000000-2-22222-2-200002-2000000000000000000002-2-2200002-2-22000000000000
χ522-2-2-2-22222-2-222-2-2-2-2222-222-200000000-2-22222-2-200002-200000000000000000000-222-20000-222-2000000000000
χ532-2-2-2-2222-122-2-21111-1-1-12-22-22-2-222-2-22-1-11111-1-10000-11-111-1-111-1−i3−i3i3i3−i3−i3i3i3000000000000000000−i3i3−i3i3000000
χ542-2-2-2-2222-122-2-21111-1-1-12-22-22-2-222-2-22-1-11111-1-10000-11-111-1-111-1i3i3−i3−i3i3i3−i3−i3000000000000000000i3−i3i3−i3000000
χ552-2-2-2-2222-122-2-21111-1-1-12-22-2-222-2-222-2-1-11111-1-10000-111-1-111-1-11−i3−i3i3i3−i3−i3i3i3000000000000000000i3−i3i3−i3000000
χ562-2-2-2-2222-122-2-21111-1-1-12-22-2-222-2-222-2-1-11111-1-10000-111-1-111-1-11i3i3−i3−i3i3i3−i3−i3000000000000000000−i3i3−i3i3000000
χ572-2-2-2-2222-122-2-21111-1-1-1-22-222-2-22-222-211-1-111-1-100001-1-111-11-1-11−i3−i3i3i3i3i3−i3−i3000000000000000000i3−i3−i3i3000000
χ582-2-2-2-2222-122-2-21111-1-1-1-22-222-2-22-222-211-1-111-1-100001-1-111-11-1-11i3i3−i3−i3−i3−i3i3i3000000000000000000−i3i3i3−i3000000
χ592-2-2-2-2222-122-2-21111-1-1-1-22-22-222-22-2-2211-1-111-1-100001-11-1-11-111-1−i3−i3i3i3i3i3−i3−i3000000000000000000−i3i3i3−i3000000
χ602-2-2-2-2222-122-2-21111-1-1-1-22-22-222-22-2-2211-1-111-1-100001-11-1-11-111-1i3i3−i3−i3−i3−i3i3i3000000000000000000i3−i3−i3i3000000
χ6144444444-2-4-4-4-4-2-2-2-2-2-2-244-4-400000000-2-2-2-2222200002200000000000000000000000000000000000000000000
χ6244444444-2-4-4-4-4-2-2-2-2-2-2-2-4-44400000000222222220000-2-200000000000000000000000000000000000000000000
χ63444-4-4-4-44400004-44-4-44-4000000000000000000000000000000000000000000000000000000000000000022−220000
χ64444-4-4-4-44400004-44-4-44-40000000000000000000000000000000000000000000000000000000000000000−22220000
χ6544-44-44-4-4-24-44-4-2-22222-20000000044-4-40000-22-220000000000-2-222000000000000000000000000000000000000
χ6644-44-44-4-4-24-44-4-2-22222-200000000-4-4440000-22-22000000000022-2-2000000000000000000000000000000000000
χ6744-44-44-4-4-2-44-44-2-22222-2000044-4-4000000002-22-2000000-2-2220000000000000000000000000000000000000000
χ6844-44-44-4-4-2-44-44-2-22222-20000-4-444000000002-22-200000022-2-20000000000000000000000000000000000000000
χ6944-4-44-44-4400004-4-444-4-4000000000000000000000022−220000000000000022−2222−220000000000000000000000000000
χ7044-4-44-44-4400004-4-444-4-40000000000000000000000−222200000000000000−2222−22220000000000000000000000000000
χ7144-4-44-44-4-20000-222-2-222000000000000−2i32i3−2i32i300000022−220000000000i6−i6i6−i6−22−220000000000000000000000000000
χ7244-4-44-44-4-20000-222-2-222000000000000−2i32i3−2i32i3000000−22220000000000−i6i6−i6i62−22−20000000000000000000000000000
χ7344-4-44-44-4-20000-222-2-2220000000000002i3−2i32i3−2i300000022−220000000000−i6i6−i6i6−22−220000000000000000000000000000
χ7444-4-44-44-4-20000-222-2-2220000000000002i3−2i32i3−2i3000000−22220000000000i6−i6i6−i62−22−20000000000000000000000000000
χ754-444-4-44-440000-444-44-4-40000000000000000000022−2200000000000022−22−222200000000000000000000000000000000
χ764-444-4-44-440000-444-44-4-400000000000000000000−2222000000000000−222222−2200000000000000000000000000000000
χ774-444-4-44-4-200002-2-22-222000000000000−2i32i32i3−2i3000022−22000000000000−222−2i6−i6−i6i60000000000000000000000000000
χ784-444-4-44-4-200002-2-22-222000000000000−2i32i32i3−2i30000−22220000000000002−2−22−i6i6i6−i60000000000000000000000000000
χ794-444-4-44-4-200002-2-22-2220000000000002i3−2i3−2i32i3000022−22000000000000−222−2−i6i6i6−i60000000000000000000000000000
χ804-444-4-44-4-200002-2-22-2220000000000002i3−2i3−2i32i30000−22220000000000002−2−22i6−i6−i6i60000000000000000000000000000
χ814-44-444-4-4-24-4-4422-2-222-2000000004-44-400002-2-220000000000-22-22000000000000000000000000000000000000
χ824-44-444-4-4-24-4-4422-2-222-200000000-44-4400002-2-2200000000002-22-2000000000000000000000000000000000000
χ834-44-444-4-4-2-444-422-2-222-200004-44-400000000-222-2000000-22-220000000000000000000000000000000000000000
χ844-44-444-4-4-2-444-422-2-222-20000-44-4400000000-222-20000002-22-20000000000000000000000000000000000000000
χ854-4-444-4-4440000-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ864-4-444-4-4440000-44-44-44-40000000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ874-4-4-4-4444-2-4-4442222-2-2-24-4-4400000000-2-222-2-22200002-200000000000000000000000000000000000000000000
χ884-4-4-4-4444-2-4-4442222-2-2-2-444-40000000022-2-2-2-2220000-2200000000000000000000000000000000000000000000
χ89888-8-8-8-88-40000-44-444-440000000000000000000000000000000000000000000000000000000000000000000000
χ908-8-888-8-88-400004-44-44-440000000000000000000000000000000000000000000000000000000000000000000000

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