Finite Group Databasebeta

← Group #10854149

Character table — Group #10854149

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222222224444444444444488888888888888888888888812121212121212121212121216161616161624242424242424242424
order12222222344444444666666644444412121212121212122266668888121212121212242424242424242444448888888844121212124444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ511111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ811111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1
χ911111111111-1-1-1-1111111111-1-11111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11-111-1-11-11111-1-1-1-1
χ1011111111111-1-1-1-1111111111-1-11111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111-111-1-1-11-1-1-1-11111
χ1111111111111-1-1-1-1111111111-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-11111-11-1-1111-1-1-111-1-111
χ1211111111111-1-1-1-1111111111-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1111111-1-1-1-1-11-1-111-1111-1-111-1-1
χ1311111111111-1-1-1-1111111111-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1-1111-1-1-1-1-11111
χ1411111111111-1-1-1-1111111111-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-111-111111-1-1-1-1
χ1511111111111-1-1-1-1111111111-1-1-1-1-1-1111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-111-1-11-111-1-111-1-1
χ1611111111111-1-1-1-1111111111-1-1-1-1-1-1111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11-111-1-1-11-1-111-1-111
χ17222222222-2-22222-2-22222222-2-20000-2-2-22222-20000000000-2-2000000000000222200000000000000-2-200000000
χ18222222222-2-22222-2-22222222-2-20000-2-2-22222-20000000000-2-2000000000000-2-2-2-2000000000000002200000000
χ19222222222-2-2-2-2-2-2-2-22222222220000-2-2-2-2-2-2-2-200000000002200000000000022-2-200000000000000-2200000000
χ20222222222-2-2-2-2-2-2-2-22222222220000-2-2-2-2-2-2-2-2000000000022000000000000-2-222000000000000002-200000000
χ2122222222-122222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10000000000
χ2222222222-122222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-1-1-1-1-1-111111111000000000000-2-211110000000000
χ2322222222-122222222-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-2-211112222-1-11111-1-1-1-1-1-1-1-1000000000000-2-211110000000000
χ2422222222-122222222-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-2-21111-2-2-2-2-1-111111111111100000000000022-1-1-1-10000000000
χ2522222222-122-2-2-2-222-1-1-1-1-1-1-1-2-22222-1-1-11111-1-2-2111122-2-211-1-1-1-1-1-1-1-111110000000000002-2-1-1110000000000
χ2622222222-122-2-2-2-222-1-1-1-1-1-1-1-2-22222-1-1-11111-1-2-21111-2-22211-1-1-1-11111-1-1-1-1000000000000-2211-1-10000000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-11111-122-1-1-1-122-2-2111111-1-1-1-11111000000000000-2211-1-10000000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-11111-122-1-1-1-1-2-2221111111111-1-1-1-10000000000002-2-1-1110000000000
χ29222-2-2-2-2222-200002-22-2-22-2-22002i2i−2i−2i22-20000-20000000000002i2i−2i−2i00000000000022-2-20000000000002i−2i000000
χ30222-2-2-2-2222-200002-22-2-22-2-22002i2i−2i−2i22-20000-20000000000002i2i−2i−2i000000000000-2-222000000000000−2i2i000000
χ31222-2-2-2-2222-200002-22-2-22-2-2200−2i−2i2i2i22-20000-2000000000000−2i−2i2i2i00000000000022-2-2000000000000−2i2i000000
χ32222-2-2-2-2222-200002-22-2-22-2-2200−2i−2i2i2i22-20000-2000000000000−2i−2i2i2i000000000000-2-2220000000000002i−2i000000
χ332-2222-2-2-222222-2-2-2-2-2-2-2222-22-22-22-22-2222-2-2-22-222-2-200002-22-22-2000000000000000000000000000000000000
χ342-2222-2-2-222222-2-2-2-2-2-2-2222-22-2-22-222-2222-2-2-2-22-2-22200002-2-22-22000000000000000000000000000000000000
χ352-2222-2-2-2222-2-222-2-2-2-2-2222-2-222-22-22-22-2-222-2-22-2-2220000-222-22-2000000000000000000000000000000000000
χ362-2222-2-2-2222-2-222-2-2-2-2-2222-2-22-22-222-22-2-222-22-222-2-20000-22-22-22000000000000000000000000000000000000
χ372-2222-2-2-22-2-222-2-222-2-2-2222-2-220000-22-222-2-220000000000-2200000000000000000000000000000000002i−2i2i−2i00
χ382-2222-2-2-22-2-222-2-222-2-2-2222-2-220000-22-222-2-220000000000-220000000000000000000000000000000000−2i2i−2i2i00
χ392-2222-2-2-22-2-2-2-22222-2-2-2222-22-20000-22-2-2-222200000000002-200000000000000000000000000000000002i−2i−2i2i00
χ402-2222-2-2-22-2-2-2-22222-2-2-2222-22-20000-22-2-2-222200000000002-20000000000000000000000000000000000−2i2i2i−2i00
χ412-2222-2-2-2-12222-2-2-2-2111-1-1-112-22-22-2-11-1-1-11112-2-1-1110000-11-11-1133−3−333−3−3000000000000003−33−30000000000
χ422-2222-2-2-2-12222-2-2-2-2111-1-1-112-22-22-2-11-1-1-11112-2-1-1110000-11-11-11−3−333−3−33300000000000000−33−330000000000
χ432-2222-2-2-2-12222-2-2-2-2111-1-1-112-2-22-22-11-1-1-1111-2211-1-10000-111-11-133−3−333−3−300000000000000−33−330000000000
χ442-2222-2-2-2-12222-2-2-2-2111-1-1-112-2-22-22-11-1-1-1111-2211-1-10000-111-11-1−3−333−3−333000000000000003−33−30000000000
χ452-2222-2-2-2-122-2-222-2-2111-1-1-11-222-22-2-11-111-1-11-2211-1-100001-1-11-1133−3−3−3−333000000000000003−3−330000000000
χ462-2222-2-2-2-122-2-222-2-2111-1-1-11-222-22-2-11-111-1-11-2211-1-100001-1-11-11−3−33333−3−300000000000000−333−30000000000
χ472-2222-2-2-2-122-2-222-2-2111-1-1-11-22-22-22-11-111-1-112-2-1-11100001-11-11-133−3−3−3−33300000000000000−333−30000000000
χ482-2222-2-2-2-122-2-222-2-2111-1-1-11-22-22-22-11-111-1-112-2-1-11100001-11-11-1−3−33333−3−3000000000000003−3−330000000000
χ492-22-2-222-222-20000-22-2222-2-2-2002i−2i−2i2i2-2-2000020000000000002i−2i−2i2i000000000000000022-2-2000000000000002i−2i
χ502-22-2-222-222-20000-22-2222-2-2-2002i−2i−2i2i2-2-2000020000000000002i−2i−2i2i0000000000000000-2-22200000000000000−2i2i
χ512-22-2-222-222-20000-22-2222-2-2-200−2i2i2i−2i2-2-200002000000000000−2i2i2i−2i000000000000000022-2-200000000000000−2i2i
χ522-22-2-222-222-20000-22-2222-2-2-200−2i2i2i−2i2-2-200002000000000000−2i2i2i−2i0000000000000000-2-222000000000000002i−2i
χ532-2-2-22-2222002-22-200-22-2-2-2220000000002-22-200000002−22−20000002−22−22−22−22-22-22−22−22−22−20000000000000000
χ542-2-2-22-2222002-22-200-22-2-2-2220000000002-22-200000002−22−20000002−22−22−22−2-22-22−22−22−22−220000000000000000
χ552-2-2-22-2222002-22-200-22-2-2-2220000000002-22-20000000−22−22000000−22−22−22−222-22-2−22−22−22−220000000000000000
χ562-2-2-22-2222002-22-200-22-2-2-2220000000002-22-20000000−22−22000000−22−22−22−22-22-222−22−22−22−20000000000000000
χ572-2-2-22-222200-22-2200-22-2-2-222000000000-22-2200000002−2−220000002−22−2−22−222-2-222−22−2−22−220000000000000000
χ582-2-2-22-222200-22-2200-22-2-2-222000000000-22-2200000002−2−220000002−22−2−22−22-222-2−22−222−22−20000000000000000
χ592-2-2-22-222200-22-2200-22-2-2-222000000000-22-220000000−222−2000000−22−222−22−22-2-22−22−222−22−20000000000000000
χ602-2-2-22-222200-22-2200-22-2-2-222000000000-22-220000000−222−2000000−22−222−22−2-222-22−22−2−22−220000000000000000
χ6144444444-2-4-44444-4-4-2-2-2-2-2-2-2-4-40000222-2-2-2-220000000000220000000000000000000000000000000000000000
χ6244444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2440000222222220000000000-2-20000000000000000000000000000000000000000
χ63444-4-4-4-444-440000-444-4-44-4-44000000-4-44000040000000000000000000000000000000000000000000000000000
χ64444-4-4-4-44-24-400004-4-222-222-2004i4i−4i−4i-2-2200002000000000000−2i−2i2i2i000000000000000000000000000000000000
χ65444-4-4-4-44-24-400004-4-222-222-200−4i−4i4i4i-2-22000020000000000002i2i−2i−2i000000000000000000000000000000000000
χ66444-4-4-4-44-2-440000-44-222-222-200000022-20000-200−2i32i3−2i32i30000000000000000000000000000000000000000000000
χ67444-4-4-4-44-2-440000-44-222-222-200000022-20000-2002i3−2i32i3−2i30000000000000000000000000000000000000000000000
χ6844-44-4-44-440000000044-4-44-4-4000000000000000000000000000000000000000000000022−22−22220000000000000000
χ6944-44-4-44-440000000044-4-44-4-40000000000000000000000000000000000000000000000−222222−220000000000000000
χ7044-4-444-4-44004-4-44004-44-4-44-40000000004-4-4400000000000000000000000000000000000000000000000000000
χ7144-4-444-4-4400-444-4004-44-4-44-4000000000-444-400000000000000000000000000000000000000000000000000000
χ7244-4-444-4-4-2004-4-4400-22-222-22000000000-222-2000000000000000006−6−666−6−660000000000000000000000000000
χ7344-4-444-4-4-2004-4-4400-22-222-22000000000-222-200000000000000000−666−6−666−60000000000000000000000000000
χ7444-4-444-4-4-200-444-400-22-222-220000000002-2-22000000000000000006−6−66−666−60000000000000000000000000000
χ7544-4-444-4-4-200-444-400-22-222-220000000002-2-2200000000000000000−666−66−6−660000000000000000000000000000
χ764-4444-4-4-4-2-4-444-4-444222-2-2-22-4400002-22-2-222-200000000002-20000000000000000000000000000000000000000
χ774-4444-4-4-4-2-4-4-4-44444222-2-2-224-400002-2222-2-2-20000000000-220000000000000000000000000000000000000000
χ784-44-4-444-44-4400004-4-4444-4-4-4000000-4440000-40000000000000000000000000000000000000000000000000000
χ794-44-4-444-4-24-40000-442-2-2-2222004i−4i−4i4i-2220000-2000000000000−2i2i2i−2i000000000000000000000000000000000000
χ804-44-4-444-4-24-40000-442-2-2-222200−4i4i4i−4i-2220000-20000000000002i−2i−2i2i000000000000000000000000000000000000
χ814-44-4-444-4-2-4400004-42-2-2-22220000002-2-20000200−2i32i32i3−2i30000000000000000000000000000000000000000000000
χ824-44-4-444-4-2-4400004-42-2-2-22220000002-2-200002002i3−2i3−2i32i30000000000000000000000000000000000000000000000
χ834-4-44-44-44400000000-4-44-44-4400000000000000000000000000000000000000000022−22−222200000000000000000000
χ844-4-44-44-44400000000-4-44-44-44000000000000000000000000000000000000000000−222222−2200000000000000000000
χ854-4-4-44-444-2004-44-4002-2222-2-2000000000-22-22000000022−2222−22000000−22−22−22−220000000000000000000000000000
χ864-4-4-44-444-2004-44-4002-2222-2-2000000000-22-220000000−2222−22220000002−22−22−22−20000000000000000000000000000
χ874-4-4-44-444-200-44-44002-2222-2-20000000002-22-2000000022−22−2222000000−22−222−22−20000000000000000000000000000
χ884-4-4-44-444-200-44-44002-2222-2-20000000002-22-20000000−222222−220000002−22−2−22−220000000000000000000000000000
χ8988-88-8-88-8-400000000-4-444-444000000000000000000000000000000000000000000000000000000000000000000
χ908-8-88-88-88-40000000044-44-44-4000000000000000000000000000000000000000000000000000000000000000000

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