Finite Group Databasebeta

← Group #11865774

Character table — Group #11865774

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order122233444466666622344466612121212121212121212121266666666121212121212121212121212121244448888888822442244242424242424242444444661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111
χ51111111111111111-1-11-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ61111111111111111-1-11-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111
χ71111111111111111-1-11-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-111
χ81111111111111111-1-11-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1111111-1-1
χ9111111-1-111111111111-1-1-11111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111-1-11-11-111-1-111-1-1-1-1-1111-11-1
χ10111111-1-111111111111-1-1-11111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-11-11-1-111-1-111-1-1-111-11-11
χ11111111-1-111111111111-1-1-11111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-1111-1-1-1-111111-1-11-1-11
χ12111111-1-111111111111-1-1-11111-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-1-11111-1-1111-1-1-111-1
χ13111111-1-111111111-1-1111-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111111111-1-111-1-111-1-1-11-1111-1-111-1-1-111-1-1-11-11
χ14111111-1-111111111-1-1111-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-111-1-11111-1-11-11-1-1-111-1-111-111-1-11-11-1
χ15111111-1-111111111-1-1111-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-111-111-111-1-1-1-1111-1-111-111-1
χ16111111-1-111111111-1-1111-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-11-1-11111-1-11-1-1111-1-11
χ1722222222-2-222222200200-2222-22222-22222-2-200000000-2-20000-2-2-2-20000222200000000-2-222000000000000-200000000
χ1822222222-2-222222200200-2222-22222-22222-2-200000000-2-20000-2-2-2-20000-2-2-2-20000000022-2-2000000000000200000000
χ19222222-2-2-2-2222222002002222-2-2-2-2-2-2-2-2-2-2-2-200000000220000-2-2220000222200000000-2-2-2-2000000000000200000000
χ20222222-2-2-2-2222222002002222-2-2-2-2-2-2-2-2-2-2-2-200000000220000-2-2220000-2-2-2-2000000002222000000000000-200000000
χ2122222-122222-1-12-1222-1222-1-1-1-122-1-12-1-1-1-1-1222-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-100002222000000002200-1-1-1-1000000000-1-100
χ2222222-122222-1-12-1222-1222-1-1-1-122-1-12-1-1-1-1-1222-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000-2-20011110000000001100
χ2322222-122222-1-12-12-2-2-1-2-22-1-1-1-122-1-12-1-1-1-1-12-2-21111112-1-2-211-1-1-1-111110000222200000000-2-200-1-1-1-10000000001100
χ2422222-122222-1-12-12-2-2-1-2-22-1-1-1-122-1-12-1-1-1-1-12-2-21111112-1-2-211-1-1-1-111110000-2-2-2-20000000022001111000000000-1-100
χ2522222-1-2-2222-1-12-1222-1-2-2-2-1-1-1-1-2-21121111-1222-1-1-1-1-1-1-21-2-211-1-1111111000022-2-2000000002-200-1-111000000000-1100
χ2622222-1-2-2222-1-12-1222-1-2-2-2-1-1-1-1-2-21121111-1222-1-1-1-1-1-1-21-2-211-1-11111110000-2-22200000000-220011-1-10000000001-100
χ2722222-1-2-2222-1-12-12-2-2-122-2-1-1-1-1-2-21121111-12-2-2111111-2122-1-1-1-111-1-1-1-1000022-2-200000000-2200-1-1110000000001-100
χ2822222-1-2-2222-1-12-12-2-2-122-2-1-1-1-1-2-21121111-12-2-2111111-2122-1-1-1-111-1-1-1-10000-2-222000000002-20011-1-1000000000-1100
χ292222-122222-122-12-122-1222-1-1-12-1-122-1-1-1-1-12-1-1-122-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1000000002222000000220000-1-1-1-10000000-1-1
χ302222-122222-122-12-122-1222-1-1-12-1-122-1-1-1-1-12-1-1-122-1-1-1-1-12-1-122-1-1-1-1-1-1-1-100000000-2-2-2-2000000-2-200001111000000011
χ312222-122222-122-12-1-2-2-1-2-22-1-1-12-1-122-1-1-1-1-12-111-2-21111-1211-2-2-1-1-1-11111000000002222000000-2-20000-1-1-1-1000000011
χ322222-122222-122-12-1-2-2-1-2-22-1-1-12-1-122-1-1-1-1-12-111-2-21111-1211-2-2-1-1-1-1111100000000-2-2-2-200000022000011110000000-1-1
χ332222-12-2-222-122-12-122-1-2-2-2-1-1-1211-2-2-111112-1-1-122-1-1-1-11-211-2-2-1-11111110000000022-2-20000002-20000-1-1110000000-11
χ342222-12-2-222-122-12-122-1-2-2-2-1-1-1211-2-2-111112-1-1-122-1-1-1-11-211-2-2-1-111111100000000-2-222000000-22000011-1-100000001-1
χ352222-12-2-222-122-12-1-2-2-122-2-1-1-1211-2-2-111112-111-2-211111-2-1-122-1-111-1-1-1-10000000022-2-2000000-220000-1-11100000001-1
χ362222-12-2-222-122-12-1-2-2-122-2-1-1-1211-2-2-111112-111-2-211111-2-1-122-1-111-1-1-1-100000000-2-2220000002-2000011-1-10000000-11
χ3722-2-2222-200-2-2-222-2002000-2-2202-22-2022-2-20000000000000000000000002i2i−2i−2i2−22−2i2−i2i2−i2002i−2i00002−22−2i2−i2i2−i2000000000
χ3822-2-2222-200-2-2-222-2002000-2-2202-22-2022-2-20000000000000000000000002i2i−2i−2i−22−22−i2i2−i2i2002i−2i0000−22−22−i2i2−i2i2000000000
χ3922-2-2222-200-2-2-222-2002000-2-2202-22-2022-2-2000000000000000000000000−2i−2i2i2i2−22−2−i2i2−i2i200−2i2i00002−22−2−i2i2−i2i2000000000
χ4022-2-2222-200-2-2-222-2002000-2-2202-22-2022-2-2000000000000000000000000−2i−2i2i2i−22−22i2−i2i2−i200−2i2i0000−22−22i2−i2i2−i2000000000
χ4122-2-222-2200-2-2-222-2002000-2-220-22-220-2-2220000000000000000000000002i2i−2i−2i2−2−22i2−i2−i2i200−2i2i00002−2−22i2−i2−i2i2000000000
χ4222-2-222-2200-2-2-222-2002000-2-220-22-220-2-2220000000000000000000000002i2i−2i−2i−222−2−i2i2i2−i200−2i2i0000−222−2−i2i2i2−i2000000000
χ4322-2-222-2200-2-2-222-2002000-2-220-22-220-2-222000000000000000000000000−2i−2i2i2i2−2−22−i2i2i2−i2002i−2i00002−2−22−i2i2i2−i2000000000
χ4422-2-222-2200-2-2-222-2002000-2-220-22-220-2-222000000000000000000000000−2i−2i2i2i−222−2i2−i2−i2i2002i−2i0000−222−2i2−i2−i2i2000000000
χ452-2-2222002-2-22-2-2-220022i−2i02-2-22000020000-2-200000000002i−2i2i−2i2-2002i2i−2i−2i2-22-2000000002-20000000000000002i−2i000000
χ462-2-2222002-2-22-2-2-220022i−2i02-2-22000020000-2-200000000002i−2i2i−2i2-2002i2i−2i−2i-22-2200000000-22000000000000000−2i2i000000
χ472-2-2222002-2-22-2-2-22002−2i2i02-2-22000020000-2-20000000000−2i2i−2i2i2-200−2i−2i2i2i2-22-2000000002-2000000000000000−2i2i000000
χ482-2-2222002-2-22-2-2-22002−2i2i02-2-22000020000-2-20000000000−2i2i−2i2i2-200−2i−2i2i2i-22-2200000000-220000000000000002i−2i000000
χ492-2-222200-22-22-2-2-222-220002-2-2-20000-20000222-22-222-2-2000000-220000002-22-200000000-22000000000000000002-20000
χ502-2-222200-22-22-2-2-222-220002-2-2-20000-20000222-22-222-2-2000000-22000000-22-22000000002-200000000000000000-220000
χ512-2-222200-22-22-2-2-22-2220002-2-2-20000-2000022-22-22-2-222000000-220000002-22-200000000-2200000000000000000-220000
χ522-2-222200-22-22-2-2-22-2220002-2-2-20000-2000022-22-22-2-222000000-22000000-22-22000000002-2000000000000000002-20000
χ5344444-244-4-44-2-24-2400-200-4-2-2-2244-2-2-4-2-2-2-22-400000000-420000222200000000000000000000000000000000000000000
χ5444444-2-4-4-4-44-2-24-2400-2004-2-2-22-4-422-422222-4000000004-2000022-2-200000000000000000000000000000000000000000
χ554444-2444-4-4-244-24-200-200-4-2-2-2-4-2-2442-2-2-2-2-42000000002-40000222200000000000000000000000000000000000000000
χ564444-24-4-4-4-4-244-24-200-2004-2-2-2-422-4-422222-4200000000-24000022-2-200000000000000000000000000000000000000000
χ574444-2-24444-2-2-2-2-2-2441444111-2-2-2-2-2-21111-2-2-2-2-2-21111-2-2-2-2-2-2111111110000000000000000000000000000000000000
χ584444-2-24444-2-2-2-2-2-2-4-41-4-44111-2-2-2-2-2-21111-2-22222-1-1-1-1-2-222221111-1-1-1-10000000000000000000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-200100-41112-2-2-2-2211112200003-33-3220000-1-1-1-13-33-30000000000000000000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-200100-41112-2-2-2-221111220000-33-33220000-1-1-1-1-33-330000000000000000000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-2441-4-4-4111-22222-2-1-1-1-1-2-2-2-2-2-2111122222211-1-1-1-1-1-10000000000000000000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-2-4-4144-4111-22222-2-1-1-1-1-2-22222-1-1-1-122-2-2-2-211-1-111110000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-2001004111222222-1-1-1-12200003-33-3-2-20000-1-111-33-330000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-2001004111222222-1-1-1-1220000-33-33-2-20000-1-1113-33-30000000000000000000000000000000000000
χ6544-4-44-24-400-4224-2-400-200022-204-4-220-2-222000000000000000000000000000022−2222−22000000000000−22−220000000000000
χ6644-4-44-24-400-4224-2-400-200022-204-4-220-2-2220000000000000000000000000000−2222−22220000000000002−22−20000000000000
χ6744-4-44-2-4400-4224-2-400-200022-20-442-2022-2-2000000000000000000000000000022−22−2222000000000000−222−20000000000000
χ6844-4-44-2-4400-4224-2-400-200022-20-442-2022-2-20000000000000000000000000000−222222−220000000000002−2−220000000000000
χ6944-4-4-244-4002-4-4-24200-200022-20-224-40-2-222000000000000000000000000000000002i2−2i22i2−2i2000000000000−i2i2−i2i2000000000
χ7044-4-4-244-4002-4-4-24200-200022-20-224-40-2-22200000000000000000000000000000000−2i22i2−2i22i2000000000000i2−i2i2−i2000000000
χ7144-4-4-24-44002-4-4-24200-200022-202-2-44022-2-2000000000000000000000000000000002i2−2i2−2i22i2000000000000−i2i2i2−i2000000000
χ7244-4-4-24-44002-4-4-24200-200022-202-2-44022-2-200000000000000000000000000000000−2i22i22i2−2i2000000000000i2−i2−i2i2000000000
χ734-44-44400004-44-4-4-4004000-44-400000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000
χ744-44-44400004-44-4-4-4004000-44-40000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000
χ754-4-444-2004-4-4-22-42400-24i−4i0-222-20000400002-400000000004i−4i−2i2i-2200−2i−2i2i2i0000000000000000000000000000000000000
χ764-4-444-2004-4-4-22-42400-2−4i4i0-222-20000400002-40000000000−4i4i2i−2i-22002i2i−2i−2i0000000000000000000000000000000000000
χ774-4-444-200-44-4-22-4244-4-2000-22220000-40000-244-4-22-2-2220000002-20000000000000000000000000000000000000000000
χ784-4-444-200-44-4-22-424-44-2000-22220000-40000-24-442-222-2-20000002-20000000000000000000000000000000000000000000
χ794-4-44-24004-424-42-4-200-24i−4i0-22240000-20000-420000000000−2i2i4i−4i-2200−2i−2i2i2i0000000000000000000000000000000000000
χ804-4-44-24004-424-42-4-200-2−4i4i0-22240000-20000-4200000000002i−2i−4i4i-22002i2i−2i−2i0000000000000000000000000000000000000
χ814-4-44-2400-4424-42-4-24-4-2000-222-40000200004-2-224-4-2-2220000002-20000000000000000000000000000000000000000000
χ824-4-44-2400-4424-42-4-2-44-2000-222-40000200004-22-2-4422-2-20000002-20000000000000000000000000000000000000000000
χ834-4-44-2-2004-42-2222-20014i−4i01-1-1-20000-23i−3i3i−3i2200003-3-3300−2i2i−2i2i1-13i−3iii−i−i0000000000000000000000000000000000000
χ844-4-44-2-2004-42-2222-20014i−4i01-1-1-20000-2−3i3i−3i3i220000-333-300−2i2i−2i2i1-1−3i3iii−i−i0000000000000000000000000000000000000
χ854-4-44-2-2004-42-2222-2001−4i4i01-1-1-20000-23i−3i3i−3i220000-333-3002i−2i2i−2i1-13i−3i−i−iii0000000000000000000000000000000000000
χ864-4-44-2-2004-42-2222-2001−4i4i01-1-1-20000-2−3i3i−3i3i2200003-3-33002i−2i2i−2i1-1−3i3i−i−iii0000000000000000000000000000000000000
χ874-4-44-2-200-442-2222-24-410001-1-12000023i−3i3i−3i-2-2-22-2211-1-1000000-11−3i3i3i−3i−3i3i0000000000000000000000000000000000000
χ884-4-44-2-200-442-2222-24-410001-1-1200002−3i3i−3i3i-2-2-22-2211-1-1000000-113i−3i−3i3i3i−3i0000000000000000000000000000000000000
χ894-4-44-2-200-442-2222-2-4410001-1-12000023i−3i3i−3i-2-22-22-2-1-111000000-11−3i3i−3i3i3i−3i0000000000000000000000000000000000000
χ904-4-44-2-200-442-2222-2-4410001-1-1200002−3i3i−3i3i-2-22-22-2-1-111000000-113i−3i3i−3i−3i3i0000000000000000000000000000000000000
χ9188-8-8-4-48-800444-4-44002000-2-220-44-44022-2-20000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-4-8800444-4-44002000-2-2204-44-40-2-2220000000000000000000000000000000000000000000000000000000000000
χ938-88-88-4000084-4-84-800-40004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8-480000-4-884-8400-40004-4400000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4-40000-44-4444002000-22-20000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-40000-44-4444002000-22-2000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000

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