Finite Group Databasebeta

← Group #10830934

Character table — Group #10830934

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222222224444444444444444444444444444444444444416161616161616161616161624242424242424242424242424242424
order12222222344444444666666622666688888888121212121212121224242424242424242424242424242424444412121212121212122222244444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111111-1-11-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-111-11111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-111-1-1-11111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1111-1-1-1-1
χ911111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111111-1-1-1-1-1-11-1-111
χ1011111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1111111-111-1-1
χ1111111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1111111-111-1-1-1-1-111-1-1
χ1211111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-11-1-111111-1-111
χ1311111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-11111-1-11-1-1-1-111111-1-1
χ1411111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-111-11111-1-1-1-1-111
χ1511111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-111-1-1-111-1-111-1-1-111
χ1611111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1-1-1111-1-111-1-1111-1-1
χ17222222222-2-22222-2-22222222-2-2-2-2-2-200000000-2-2-22222-20000000000000000000000000000000022-20000-20000
χ18222222222-2-22222-2-22222222-2-2-2-2-2-200000000-2-2-22222-200000000000000000000000000000000-2-22000020000
χ19222222222-2-2-2-2-2-2-2-2222222222222200000000-2-2-2-2-2-2-2-2000000000000000000000000000000002-220000-20000
χ20222222222-2-2-2-2-2-2-2-2222222222222200000000-2-2-2-2-2-2-2-200000000000000000000000000000000-22-2000020000
χ2122222222-122222222-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ2222222222-122222222-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ2322222222-122222222-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2-1-1-1-111110000000000000000
χ2422222222-122222222-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2221111-1-1-1-10000000000000000
χ2522222222-122-2-2-2-222-1-1-1-1-1-1-1-2-211112222-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-1111111112-22-2-1-111-1-1110000000000000000
χ2622222222-122-2-2-2-222-1-1-1-1-1-1-1-2-211112222-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-111111111-22-2211-1-111-1-10000000000000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-1-2-21111-2-2-2-22222-1-1-11111-111111111-1-1-1-1-1-1-1-12-2-22-1-11111-1-10000000000000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-1-2-21111-2-2-2-22222-1-1-11111-111111111-1-1-1-1-1-1-1-1-222-211-1-1-1-1110000000000000000
χ29222-2-2-2-2222-20000-22-2-2222-2-200000022-2-200002-2-2000022222-2-2-2-2000000000000000000002-22-2000000000000
χ30222-2-2-2-2222-20000-22-2-2222-2-200000022-2-200002-2-2000022222-2-2-2-200000000000000000000-22-22000000000000
χ31222-2-2-2-2222-20000-22-2-2222-2-2000000-2-22200002-2-200002-2-2-2-22222000000000000000000002-2-22000000000000
χ32222-2-2-2-2222-20000-22-2-2222-2-2000000-2-22200002-2-200002-2-2-2-2222200000000000000000000-222-2000000000000
χ332-2-222-2-222-220000-22-2-22-2-2220000002-22-20000-22-20000222-2-222-2-20000000000000000000000000002-22-200000
χ342-2-222-2-222-220000-22-2-22-2-2220000002-22-20000-22-20000222-2-222-2-2000000000000000000000000000-22-2200000
χ352-2-222-2-222-220000-22-2-22-2-222000000-22-220000-22-200002-2-222-2-2220000000000000000000000000002-2-2200000
χ362-2-222-2-222-220000-22-2-22-2-222000000-22-220000-22-200002-2-222-2-222000000000000000000000000000-222-200000
χ372-2-2-2-222222222-2-2-2-2222-2-2-2-22-222-2-20000000022-222-2-2-200000000000000000000000000000000000000002i−2i2i−2i
χ382-2-2-2-222222222-2-2-2-2222-2-2-2-22-222-2-20000000022-222-2-2-20000000000000000000000000000000000000000−2i2i−2i2i
χ392-2-2-2-2222222-2-222-2-2222-2-2-2-2-22-2-2220000000022-2-2-222-200000000000000000000000000000000000000002i−2i−2i2i
χ402-2-2-2-2222222-2-222-2-2222-2-2-2-2-22-2-2220000000022-2-2-222-20000000000000000000000000000000000000000−2i2i2i−2i
χ412-2-2-2-22222-2-222-2-222222-2-2-2-2-22-2-2222-2-2222-2-2-2-2222-2-2222-2-2-2-2222222-2-2-2-20000000000000000000000000000
χ422-2-2-2-22222-2-222-2-222222-2-2-2-2-22-2-222-222-2-2-222-2-2222-2-22-2-22222-2-2-2-2-2-222220000000000000000000000000000
χ432-2-2-2-22222-2-2-2-22222222-2-2-2-22-222-2-22-2-22-2-222-2-22-2-222222-2-2-2-222-2-2-2-222220000000000000000000000000000
χ442-2-2-2-22222-2-2-2-22222222-2-2-2-22-222-2-2-222-222-2-2-2-22-2-2222-2-22222-2-22222-2-2-2-20000000000000000000000000000
χ452-2-2-2-2222-1-2-222-2-222-1-1-11111-2211-1-12-2-2222-2-211-1-1-111-1-1-11111-1-1-1-1-1-1111100003−33−33−33−30000000000000000
χ462-2-2-2-2222-1-2-222-2-222-1-1-11111-2211-1-12-2-2222-2-211-1-1-111-1-1-11111-1-1-1-1-1-111110000−33−33−33−330000000000000000
χ472-2-2-2-2222-1-2-222-2-222-1-1-11111-2211-1-1-222-2-2-22211-1-1-111-111-1-1-1-1111111-1-1-1-100003−33−3−33−330000000000000000
χ482-2-2-2-2222-1-2-222-2-222-1-1-11111-2211-1-1-222-2-2-22211-1-1-111-111-1-1-1-1111111-1-1-1-10000−33−333−33−30000000000000000
χ492-2-2-2-2222-1-2-2-2-22222-1-1-111112-2-1-1112-2-22-2-22211-111-1-1-1-1-11111-1-11111-1-1-1-100003−3−333−3−330000000000000000
χ502-2-2-2-2222-1-2-2-2-22222-1-1-111112-2-1-1112-2-22-2-22211-111-1-1-1-1-11111-1-11111-1-1-1-10000−333−3−333−30000000000000000
χ512-2-2-2-2222-1-2-2-2-22222-1-1-111112-2-1-111-222-222-2-211-111-1-1-111-1-1-1-111-1-1-1-1111100003−3−33−333−30000000000000000
χ522-2-2-2-2222-1-2-2-2-22222-1-1-111112-2-1-111-222-222-2-211-111-1-1-111-1-1-1-111-1-1-1-111110000−333−33−3−330000000000000000
χ5344444444-2-4-44444-4-4-2-2-2-2-2-2-2-4-4222200000000222-2-2-2-2200000000000000000000000000000000000000000000
χ5444444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-244-2-2-2-2000000002222222200000000000000000000000000000000000000000000
χ55444-4-4-4-444-4400004-4-4-4444-4-400000000000000-4440000-400000000000000000000000000000000000000000000
χ56444-4-4-4-44-24-40000-4422-2-2-22200000044-4-40000-2220000-2-2-2-2-22222000000000000000000000000000000000000
χ57444-4-4-4-44-24-40000-4422-2-2-222000000-4-4440000-2220000-22222-2-2-2-2000000000000000000000000000000000000
χ58444-4-4-4-44-2-4400004-422-2-2-222000000000000002-2-200002000000002323−23−232323−23−230000000000000000000000000000
χ59444-4-4-4-44-2-4400004-422-2-2-222000000000000002-2-20000200000000−23−232323−23−2323230000000000000000000000000000
χ6044-44-44-4-44000000004-4-44-44-40000000000−2i22i2−2i22i20000000000000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000
χ6144-44-44-4-44000000004-4-44-44-400000000002i2−2i22i2−2i200000000000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000
χ6244-44-44-4-4-200000000-222-22-2200−2i32i3−2i32i30000−2i22i2−2i22i2000000006−66−66−66−6i2−i2i2−i2i2−i2i2−i20000000000000000000000000000
χ6344-44-44-4-4-200000000-222-22-2200−2i32i3−2i32i300002i2−2i22i2−2i200000000−66−66−66−66−i2i2−i2i2−i2i2−i2i20000000000000000000000000000
χ6444-44-44-4-4-200000000-222-22-22002i3−2i32i3−2i30000−2i22i2−2i22i200000000−66−66−66−66i2−i2i2−i2i2−i2i2−i20000000000000000000000000000
χ6544-44-44-4-4-200000000-222-22-22002i3−2i32i3−2i300002i2−2i22i2−2i2000000006−66−66−66−6−i2i2−i2i2−i2i2−i2i20000000000000000000000000000
χ6644-4-44-44-44004i−4i4i−4i00-44-44-4-44000000000000000004i−4i4i−4i000000000000000000000000000000000000000000000
χ6744-4-44-44-4400−4i4i−4i4i00-44-44-4-4400000000000000000−4i4i−4i4i000000000000000000000000000000000000000000000
χ6844-4-44-44-4-2004i−4i4i−4i002-22-222-200000000000000000−2i2i−2i2i06−66−6−66−66i6−i6−i6i6i6−i6−i6i60000000000000000000000000000
χ6944-4-44-44-4-2004i−4i4i−4i002-22-222-200000000000000000−2i2i−2i2i0−66−666−66−6−i6i6i6−i6−i6i6i6−i60000000000000000000000000000
χ7044-4-44-44-4-200−4i4i−4i4i002-22-222-2000000000000000002i−2i2i−2i06−66−6−66−66−i6i6i6−i6−i6i6i6−i60000000000000000000000000000
χ7144-4-44-44-4-200−4i4i−4i4i002-22-222-2000000000000000002i−2i2i−2i0−66−666−66−6i6−i6−i6i6i6−i6−i6i60000000000000000000000000000
χ724-444-4-44-44004i−4i−4i4i00-44-4-444-4000000000000000004i−4i−4i4i000000000000000000000000000000000000000000000
χ734-444-4-44-4400−4i4i4i−4i00-44-4-444-400000000000000000−4i4i4i−4i000000000000000000000000000000000000000000000
χ744-444-4-44-4-2004i−4i−4i4i002-222-2-2200000000000000000−2i2i2i−2i06−6−666−6−66i6−i6−i6i6−i6i6i6−i60000000000000000000000000000
χ754-444-4-44-4-2004i−4i−4i4i002-222-2-2200000000000000000−2i2i2i−2i0−666−6−666−6−i6i6i6−i6i6−i6−i6i60000000000000000000000000000
χ764-444-4-44-4-200−4i4i4i−4i002-222-2-22000000000000000002i−2i−2i2i06−6−666−6−66−i6i6i6−i6i6−i6−i6i60000000000000000000000000000
χ774-444-4-44-4-200−4i4i4i−4i002-222-2-22000000000000000002i−2i−2i2i0−666−6−666−6i6−i6−i6i6−i6i6i6−i60000000000000000000000000000
χ784-44-444-4-44000000004-4-4-44-440000000000−2i22i22i2−2i20000000000000000−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000
χ794-44-444-4-44000000004-4-4-44-4400000000002i2−2i2−2i22i200000000000000002i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000
χ804-44-444-4-4-200000000-2222-22-200−2i32i32i3−2i30000−2i22i22i2−2i200000000−666−66−6−66i2−i2i2−i2−i2i2−i2i20000000000000000000000000000
χ814-44-444-4-4-200000000-2222-22-200−2i32i32i3−2i300002i2−2i2−2i22i2000000006−6−66−666−6−i2i2−i2i2i2−i2i2−i20000000000000000000000000000
χ824-44-444-4-4-200000000-2222-22-2002i3−2i3−2i32i30000−2i22i22i2−2i2000000006−6−66−666−6i2−i2i2−i2−i2i2−i2i20000000000000000000000000000
χ834-44-444-4-4-200000000-2222-22-2002i3−2i3−2i32i300002i2−2i2−2i22i200000000−666−66−6−66−i2i2−i2i2i2−i2i2−i20000000000000000000000000000
χ844-4-444-4-4444-400004-4-4-44-4-444000000000000004-440000-400000000000000000000000000000000000000000000
χ854-4-444-4-44-24-400004-422-222-2-200000000000000-22-200002000000002323−23−23−23−2323230000000000000000000000000000
χ864-4-444-4-44-24-400004-422-222-2-200000000000000-22-20000200000000−23−2323232323−23−230000000000000000000000000000
χ874-4-444-4-44-2-440000-4422-222-2-20000004-44-400002-220000-2-2-222-2-222000000000000000000000000000000000000
χ884-4-444-4-44-2-440000-4422-222-2-2000000-44-4400002-220000-222-2-222-2-2000000000000000000000000000000000000
χ894-4-4-4-4444-24444-4-4-4-4-2-2-222224-4-2-22200000000-2-22-2-222200000000000000000000000000000000000000000000
χ904-4-4-4-4444-244-4-444-4-4-2-2-22222-4422-2-200000000-2-2222-2-2200000000000000000000000000000000000000000000

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