Finite Group Databasebeta

← Group #10944154

Character table — Group #10944154

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222244444444444444444444888888888888888888888812121212121212121212121212121212161616161616242424244848
order122222223444466666662222224444441212121212121212666666888812121212242424242424242444444444444444444412121212888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11-1-1-11111-1-11-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1-111-1-111-11
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1111-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1111-1-111-1-11-1
χ911111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1
χ1011111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111
χ1111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-111
χ1211111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1111-1-111-1-1-11
χ1411111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1111-1-1-1-1111-1
χ1511111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-111111-1-1-111-1-1111-1
χ1611111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1111111-1-1-1-11-1-1-11111-1-1-11
χ17222222222-2-2-2-22222222000022-2-20000-2-2-2-2-2-2-2-2000022000000000000000022-2-2-2-20000220000000000000000
χ18222222222-2-2-2-22222222000022-2-20000-2-2-2-2-2-2-2-20000220000000000000000-2-222220000-2-20000000000000000
χ19222222222-2-2-2-222222220000-2-2220000-2-22222-2-20000-2-200000000000000002222-2-20000-2-20000000000000000
χ20222222222-2-2-2-222222220000-2-2220000-2-22222-2-20000-2-20000000000000000-2-2-2-2220000220000000000000000
χ2122222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-1-1-1000000
χ2222222222-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1111111110000000000000000-2-21111000000
χ2322222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-11111-1-1-1-1-1-11122-2-21111-1-1-1-1111100000000000000002-211-1-1000000
χ2422222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-11111-1-1-1-1-1-111-2-22211111111-1-1-1-10000000000000000-22-1-111000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-11111-1-122221111-1-1-1-1-1-1-1-10000000000000000-2-21111000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-2-2-2-2111111111111000000000000000022-1-1-1-1000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-11111-1-111111122-2-2-1-1-1-1-1-1-1-111110000000000000000-22-1-111000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-11111-1-1111111-2-222-1-1-1-11111-1-1-1-100000000000000002-211-1-1000000
χ29222-22-2-2-222-22-222-2-2-2-220000000022-2-22-200002-2000000000022-2-200000000002i−2i002i2i−2i−2i2i−2i0000000000000000
χ30222-22-2-2-222-22-222-2-2-2-220000000022-2-22-200002-2000000000022-2-20000000000−2i2i00−2i−2i2i2i−2i2i0000000000000000
χ31222-22-2-2-222-22-222-2-2-2-2200000000-2-2222-200002-20000000000-2-22200000000002i−2i00−2i−2i2i2i2i−2i0000000000000000
χ32222-22-2-2-222-22-222-2-2-2-2200000000-2-2222-200002-20000000000-2-2220000000000−2i2i002i2i−2i−2i−2i2i0000000000000000
χ33222-22-2-2-22-22-2222-2-2-2-2222-2-200000000-220000-2222-2-2000000000000000000002i−2i000000−2i2i2i2i−2i−2i000000000000
χ34222-22-2-2-22-22-2222-2-2-2-2222-2-200000000-220000-2222-2-200000000000000000000−2i2i0000002i−2i−2i−2i2i2i000000000000
χ35222-22-2-2-22-22-2222-2-2-2-22-2-22200000000-220000-22-2-222000000000000000000002i−2i000000−2i2i−2i−2i2i2i000000000000
χ36222-22-2-2-22-22-2222-2-2-2-22-2-22200000000-220000-22-2-22200000000000000000000−2i2i0000002i−2i2i2i−2i−2i000000000000
χ372-2-222-22-2222-2-2-2-22-2-22200002-22-200002222-2-2-2-200002-200000000000000000000002i−2i2i−2i002i−2i2i−2i000000000000
χ382-2-222-22-2222-2-2-2-22-2-22200002-22-200002222-2-2-2-200002-20000000000000000000000−2i2i−2i2i00−2i2i−2i2i000000000000
χ392-2-222-22-2222-2-2-2-22-2-2220000-22-22000022-2-222-2-20000-2200000000000000000000002i−2i2i−2i00−2i2i−2i2i000000000000
χ402-2-222-22-2222-2-2-2-22-2-2220000-22-22000022-2-222-2-20000-220000000000000000000000−2i2i−2i2i002i−2i2i−2i000000000000
χ412-2-222-22-22-2-222-2-22-2-2222-22-22-2-222-22-2-2-2-2-222222-22-22-200002-22-2000000000000000000000000000000000000
χ422-2-222-22-22-2-222-2-22-2-2222-22-2-222-2-22-22-2-222-2-2222-22-2-220000-22-22000000000000000000000000000000000000
χ432-2-222-22-22-2-222-2-22-2-222-22-222-2-22-22-22-2-2-2-22222-22-222-20000-22-22000000000000000000000000000000000000
χ442-2-222-22-22-2-222-2-22-2-222-22-22-222-22-22-2-2-222-2-222-22-22-2200002-22-2000000000000000000000000000000000000
χ452-2-222-22-2-1-2-22211-111-1-12-22-22-2-222-22-21111-1-1-1-1-11-11-110000-11-11−i3−i3i3i3−i3−i3i3i3000000000000000000−i3i3−i3i3000000
χ462-2-222-22-2-1-2-22211-111-1-12-22-22-2-222-22-21111-1-1-1-1-11-11-110000-11-11i3i3−i3−i3i3i3−i3−i3000000000000000000i3−i3i3−i3000000
χ472-2-222-22-2-1-2-22211-111-1-12-22-2-222-2-22-2211-1-111-1-1-11-111-100001-11-1−i3−i3i3i3i3i3−i3−i3000000000000000000i3−i3−i3i3000000
χ482-2-222-22-2-1-2-22211-111-1-12-22-2-222-2-22-2211-1-111-1-1-11-111-100001-11-1i3i3−i3−i3−i3−i3i3i3000000000000000000−i3i3i3−i3000000
χ492-2-222-22-2-1-2-22211-111-1-1-22-222-2-22-22-221111-1-1-1-11-11-1-1100001-11-1−i3−i3i3i3−i3−i3i3i3000000000000000000i3−i3i3−i3000000
χ502-2-222-22-2-1-2-22211-111-1-1-22-222-2-22-22-221111-1-1-1-11-11-1-1100001-11-1i3i3−i3−i3i3i3−i3−i3000000000000000000−i3i3−i3i3000000
χ512-2-222-22-2-1-2-22211-111-1-1-22-22-222-22-22-211-1-111-1-11-11-11-10000-11-11−i3−i3i3i3i3i3−i3−i3000000000000000000−i3i3i3−i3000000
χ522-2-222-22-2-1-2-22211-111-1-1-22-22-222-22-22-211-1-111-1-11-11-11-10000-11-11i3i3−i3−i3−i3−i3i3i3000000000000000000i3−i3−i3i3000000
χ532-2-2-222-2222-2-22-2-2-222-222-2-22000000002-20000-222-2-220000000000000000002-2002-22-2-22000000000000000000
χ542-2-2-222-2222-2-22-2-2-222-222-2-22000000002-20000-222-2-22000000000000000000-2200-22-222-2000000000000000000
χ552-2-2-222-2222-2-22-2-2-222-22-222-2000000002-20000-22-222-20000000000000000002-2002-2-222-2000000000000000000
χ562-2-2-222-2222-2-22-2-2-222-22-222-2000000002-20000-22-222-2000000000000000000-2200-222-2-22000000000000000000
χ572-2-2-222-222-222-2-2-2-222-22000000002-2-22-2200002-200000000002-2-22000000002-200-22000000-222-2000000000000
χ582-2-2-222-222-222-2-2-2-222-22000000002-2-22-2200002-200000000002-2-2200000000-22002-20000002-2-22000000000000
χ592-2-2-222-222-222-2-2-2-222-2200000000-222-2-2200002-20000000000-222-2000000002-200-220000002-2-22000000000000
χ602-2-2-222-222-222-2-2-2-222-2200000000-222-2-2200002-20000000000-222-200000000-22002-2000000-222-2000000000000
χ6144444444-2-4-4-4-4-2-2-2-2-2-2-2000044-4-40000222222220000-2-200000000000000000000000000000000000000000000
χ6244444444-2-4-4-4-4-2-2-2-2-2-2-20000-4-444000022-2-2-2-22200002200000000000000000000000000000000000000000000
χ63444-44-4-4-4-24-44-4-2-22222-20000000044-4-4-220000-220000000000-2-222000000000000000000000000000000000000
χ64444-44-4-4-4-24-44-4-2-22222-200000000-4-444-220000-22000000000022-2-2000000000000000000000000000000000000
χ65444-44-4-4-4-2-44-44-2-22222-244-4-4000000002-200002-2-2-2220000000000000000000000000000000000000000000000
χ66444-44-4-4-4-2-44-44-2-22222-2-4-444000000002-200002-222-2-20000000000000000000000000000000000000000000000
χ6744-44-44-4-4400004-444-4-4-4000000000000000000000000000000000000000000000000000000000000000022−220000
χ6844-44-44-4-4400004-444-4-4-40000000000000000000000000000000000000000000000000000000000000000−22220000
χ6944-4-4-4-444400004-4-4-444-4000000000000000000000000000022−220000000022−2222−220000000000000000000000000000
χ7044-4-4-4-444400004-4-4-444-40000000000000000000000000000−222200000000−2222−22220000000000000000000000000000
χ7144-4-4-4-444-20000-2222-2-220000000000000023−2323−23000000000022−2200006−66−6−22−220000000000000000000000000000
χ7244-4-4-4-444-20000-2222-2-220000000000000023−2323−230000000000−22220000−66−662−22−20000000000000000000000000000
χ7344-4-4-4-444-20000-2222-2-2200000000000000−2323−2323000000000022−220000−66−66−22−220000000000000000000000000000
χ7444-4-4-4-444-20000-2222-2-2200000000000000−2323−23230000000000−222200006−66−62−22−20000000000000000000000000000
χ754-444-4-4-4440000-444-44-4-4000000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ764-444-4-4-4440000-444-44-4-40000000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ774-44-4-444-440000-44-44-44-400000000000000000000000000−2i22i2000000−2i22i22i2−2i200000000000000000000000000000000
χ784-44-4-444-440000-44-44-44-4000000000000000000000000002i2−2i20000002i2−2i2−2i22i200000000000000000000000000000000
χ794-44-4-444-4-200002-22-22-220000000000000023−23−232300000000−2i22i2000000i2−i2−i2i2−i6i6i6−i60000000000000000000000000000
χ804-44-4-444-4-200002-22-22-220000000000000023−23−2323000000002i2−2i2000000−i2i2i2−i2i6−i6−i6i60000000000000000000000000000
χ814-44-4-444-4-200002-22-22-2200000000000000−232323−2300000000−2i22i2000000i2−i2−i2i2i6−i6−i6i60000000000000000000000000000
χ824-44-4-444-4-200002-22-22-2200000000000000−232323−23000000002i2−2i2000000−i2i2i2−i2−i6i6i6−i60000000000000000000000000000
χ834-4-444-44-4-244-4-422-222-2-200004-44-40000-2-2-2-222220000-2200000000000000000000000000000000000000000000
χ844-4-444-44-4-244-4-422-222-2-20000-44-440000-2-222-2-22200002-200000000000000000000000000000000000000000000
χ854-4-4-444-44-24-4-44222-2-22-24-4-4400000000-2200002-2-222-20000000000000000000000000000000000000000000000
χ864-4-4-444-44-24-4-44222-2-22-2-444-400000000-2200002-22-2-220000000000000000000000000000000000000000000000
χ874-4-4-444-44-2-444-4222-2-22-2000000004-4-442-20000-220000000000-222-2000000000000000000000000000000000000
χ884-4-4-444-44-2-444-4222-2-22-200000000-444-42-20000-2200000000002-2-22000000000000000000000000000000000000
χ8988-88-88-8-8-40000-44-4-44440000000000000000000000000000000000000000000000000000000000000000000000
χ908-888-8-8-88-400004-4-44-4440000000000000000000000000000000000000000000000000000000000000000000000

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