Finite Group Databasebeta

← Group #11868617

Character table — Group #11868617

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order1222334444666666344444666121212121212121212121212121212121212121212121212121212121212121212124444888888882244444424242424242424242244412121212
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
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1
χ511111111111111111-1-11-1-11111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-11-1-1-1-1-1-1
χ611111111111111111-1-11-1-11111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-11111
χ711111111111111111-1-11-1-11111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-11111-1-1
χ811111111111111111-1-11-1-11111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-111-1-111
χ91111111-1-11111111111-1-1-1111-1-111-1-1-1-1-1-111-11111-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-111-1-11-11-111-1-111-1-111-1-1-11-11-1
χ101111111-1-11111111111-1-1-1111-1-111-1-1-1-1-1-111-11111-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-11111-1-1-11-11-1-111-1-11111-1-1-1-11-11
χ111111111-1-11111111111-1-1-1111-1-111-1-1-1-1-1-111-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-1111-1-1-1-111-1-1111-111-1
χ121111111-1-11111111111-1-1-1111-1-111-1-1-1-1-1-111-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-1-11111-1-1-1-11111-1-11
χ131111111-1-111111111-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-111-11111-1-1-1-1-1-11111111111-1-111-1-111-1-1-11-1111-1-111-1-1-1-1-111-11-11
χ141111111-1-111111111-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-111-11111-1-1-1-1-1-111111111-1-111-1-11111-1-11-11-1-1-111-1-111-1-1-1111-11-1
χ151111111-1-111111111-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-111-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-111-111-1-1-1-111111-1-11-1-11
χ161111111-1-111111111-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-111-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-11-1-11111-1-1111-1-1-111-1
χ17222222-222-2222222200-20022222-2-2222222-2-2-2000000-200-2-2-2-200000000222200000000-2-22200000000000000-2000000
χ18222222-222-2222222200-20022222-2-2222222-2-2-2000000-200-2-2-2-200000000-2-2-2-20000000022-2-2000000000000002000000
χ19222222-2-2-2-2222222200200222-2-2-2-2-2-2-2-2-2-2-2-22000000200-2-22200000000222200000000-2-2-2-2000000000000002000000
χ20222222-2-2-2-2222222200200222-2-2-2-2-2-2-2-2-2-2-2-22000000200-2-22200000000-2-2-2-200000000222200000000000000-2000000
χ2122222-1222222-1-1-12-122222-1-1-1222-1-1-1-1-1-1-12-1-122-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1000000002222000000220000-1-1-1-100000-1-100
χ2222222-1222222-1-1-12-122222-1-1-1222-1-1-1-1-1-1-12-1-122-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000-2-200001111000001100
χ2322222-1222222-1-1-12-1-2-22-2-2-1-1-1222-1-1-1-1-1-1-12-1-1-2-211112-2-2-1-1-1-111111111000000002222000000-2-20000-1-1-1-1000001100
χ2422222-1222222-1-1-12-1-2-22-2-2-1-1-1222-1-1-1-1-1-1-12-1-1-2-211112-2-2-1-1-1-11111111100000000-2-2-2-2000000220000111100000-1-100
χ2522222-12-2-2222-1-1-12-122-2-2-2-1-1-1-2-22-11111112-1122-1-111-2-2-2-1-111-1-1-1-111110000000022-2-20000002-20000-1-11100000-1100
χ2622222-12-2-2222-1-1-12-122-2-2-2-1-1-1-2-22-11111112-1122-1-111-2-2-2-1-111-1-1-1-1111100000000-2-222000000-22000011-1-1000001-100
χ2722222-12-2-2222-1-1-12-1-2-2-222-1-1-1-2-22-11111112-11-2-211-1-1-222-1-1111111-1-1-1-10000000022-2-2000000-220000-1-111000001-100
χ2822222-12-2-2222-1-1-12-1-2-2-222-1-1-1-2-22-11111112-11-2-211-1-1-222-1-1111111-1-1-1-100000000-2-2220000002-2000011-1-100000-1100
χ292222-122222-1-1222-1-122222-1-1-1-1-1-1222-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222000000002200-1-1-1-100000000000-1-1
χ302222-122222-1-1222-1-122222-1-1-1-1-1-1222-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000-2-20011110000000000011
χ312222-122222-1-1222-1-1-2-22-2-2-1-1-1-1-1-1222-1-1-1-1-12211-2-2-2-2-111-1-1-1-1111111110000222200000000-2-200-1-1-1-10000000000011
χ322222-122222-1-1222-1-1-2-22-2-2-1-1-1-1-1-1222-1-1-1-1-12211-2-2-2-2-111-1-1-1-1111111110000-2-2-2-2000000002200111100000000000-1-1
χ332222-122-2-22-1-1222-1-122-2-2-2-1-1-111-12-2-21111-12-2-1-122-2-2111-1-111-1-1-1-11111000022-2-2000000002-200-1-11100000000000-11
χ342222-122-2-22-1-1222-1-122-2-2-2-1-1-111-12-2-21111-12-2-1-122-2-2111-1-111-1-1-1-111110000-2-22200000000-220011-1-1000000000001-1
χ352222-122-2-22-1-1222-1-1-2-2-222-1-1-111-12-2-21111-12-211-2-2221-1-1-1-1111111-1-1-1-1000022-2-200000000-2200-1-111000000000001-1
χ362222-122-2-22-1-1222-1-1-2-2-222-1-1-111-12-2-21111-12-211-2-2221-1-1-1-1111111-1-1-1-10000-2-222000000002-20011-1-100000000000-11
χ3722-2-222200-2-222-2-2-222-2000-22-20022000000-2-202-22-2000002-20022-2-2000022-2-2000000002-2000000000000002-20000000
χ3822-2-222200-2-222-2-2-222-2000-22-20022000000-2-202-22-2000002-20022-2-20000-2-22200000000-2200000000000000-220000000
χ3922-2-222200-2-222-2-2-22-22000-22-20022000000-2-20-22-22000002-200-2-222000022-2-2000000002-200000000000000-220000000
χ4022-2-222200-2-222-2-2-22-22000-22-20022000000-2-20-22-22000002-200-2-2220000-2-22200000000-22000000000000002-20000000
χ4122-2-222-2002-222-2-2-220002i−2i-22-200-2-200000022000002i−2i02i−2i-220000002i2i−2i−2i22-2-200000000-22000000000000000002i−2i0000
χ4222-2-222-2002-222-2-2-220002i−2i-22-200-2-200000022000002i−2i02i−2i-220000002i2i−2i−2i-2-222000000002-200000000000000000−2i2i0000
χ4322-2-222-2002-222-2-2-22000−2i2i-22-200-2-20000002200000−2i2i0−2i2i-22000000−2i−2i2i2i22-2-200000000-2200000000000000000−2i2i0000
χ4422-2-222-2002-222-2-2-22000−2i2i-22-200-2-20000002200000−2i2i0−2i2i-22000000−2i−2i2i2i-2-222000000002-2000000000000000002i−2i0000
χ452-2-222202-202-2-2-22-22000002-2-22-2002-222-2-20000000000000000000000002i−2i2i−2i2−22−2i2−i2i2−i2002i−2i00002−22−2i2−i2i2−i2000000000
χ462-2-222202-202-2-2-22-22000002-2-22-2002-222-2-20000000000000000000000002i−2i2i−2i−22−22−i2i2−i2i2002i−2i0000−22−22−i2i2−i2i2000000000
χ472-2-222202-202-2-2-22-22000002-2-22-2002-222-2-2000000000000000000000000−2i2i−2i2i2−22−2−i2i2−i2i200−2i2i00002−22−2−i2i2−i2i2000000000
χ482-2-222202-202-2-2-22-22000002-2-22-2002-222-2-2000000000000000000000000−2i2i−2i2i−22−22i2−i2i2−i200−2i2i0000−22−22i2−i2i2−i2000000000
χ492-2-22220-2202-2-2-22-22000002-2-2-2200-22-2-2220000000000000000000000002i−2i2i−2i2−2−22i2−i2−i2i200−2i2i00002−2−22i2−i2−i2i2000000000
χ502-2-22220-2202-2-2-22-22000002-2-2-2200-22-2-2220000000000000000000000002i−2i2i−2i−222−2−i2i2i2−i200−2i2i0000−222−2−i2i2i2−i2000000000
χ512-2-22220-2202-2-2-22-22000002-2-2-2200-22-2-222000000000000000000000000−2i2i−2i2i2−2−22−i2i2i2−i2002i−2i00002−2−22−i2i2i2−i2000000000
χ522-2-22220-2202-2-2-22-22000002-2-2-2200-22-2-222000000000000000000000000−2i2i−2i2i−222−2i2−i2−i2i2002i−2i0000−222−2i2−i2−i2i2000000000
χ5344444-2-444-444-2-2-24-200-400-2-2-244-42-2-2-2-2-2-2-422000000-4002222000000000000000000000000000000000000000000000
χ5444444-2-4-4-4-444-2-2-24-200400-2-2-2-4-4-42222222-42-200000040022-2-2000000000000000000000000000000000000000000000
χ554444-24-444-4-2-2444-2-200-400-2-2-2-2-22-444-2-2-2-22-4-40000002002222000000000000000000000000000000000000000000000
χ564444-24-4-4-4-4-2-2444-2-200400-2-2-2222-4-4-422222-44000000-20022-2-2000000000000000000000000000000000000000000000
χ574444-2-24444-2-2-2-2-2-2144444111-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000
χ584444-2-24444-2-2-2-2-2-21-4-44-4-4111-2-2-2-2-2-21111-2-2-2222222-2221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000
χ594444-2-24-4-44-2-2-2-2-2-2144-4-4-411122-2-222-1-1-1-1-2-22-2-2-2-22222211-1-11111-1-1-1-10000000000000000000000000000000000000
χ604444-2-24-4-44-2-2-2-2-2-21-4-4-44411122-2-222-1-1-1-1-2-222222-2-22-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
χ614444-2-2-444-4-2-2-2-2-2-2100-400111-2-222-2-21111222000000200-1-1-1-13-33-33-33-30000000000000000000000000000000000000
χ624444-2-2-444-4-2-2-2-2-2-2100-400111-2-222-2-21111222000000200-1-1-1-1-33-33-33-330000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-2100400111222222-1-1-1-122-2000000-200-1-1113-33-3-33-330000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-2100400111222222-1-1-1-122-2000000-200-1-111-33-333-33-30000000000000000000000000000000000000
χ6544-4-44-2400-4-44-222-4-24-40002-22004-2000000-4204-4-2200000-2200-2-22200000000000000000000000000000000000000000
χ6644-4-44-2400-4-44-222-4-2-440002-22004-2000000-420-442-200000-220022-2-200000000000000000000000000000000000000000
χ6744-4-44-2-4004-44-222-4-20004i−4i2-2200-420000004-200000−2i2i04i−4i2-2000000−2i−2i2i2i0000000000000000000000000000000000000
χ6844-4-44-2-4004-44-222-4-2000−4i4i2-2200-420000004-2000002i−2i0−4i4i2-20000002i2i−2i−2i0000000000000000000000000000000000000
χ6944-4-4-24400-42-24-4-42-24-40002-2200-240000002-40-224-400000-2200-2-22200000000000000000000000000000000000000000
χ7044-4-4-24400-42-24-4-42-2-440002-2200-240000002-402-2-4400000-220022-2-200000000000000000000000000000000000000000
χ7144-4-4-24-40042-24-4-42-20004i−4i2-22002-4000000-24000004i−4i0−2i2i2-2000000−2i−2i2i2i0000000000000000000000000000000000000
χ7244-4-4-24-40042-24-4-42-2000−4i4i2-22002-4000000-2400000−4i4i02i−2i2-20000002i2i−2i−2i0000000000000000000000000000000000000
χ7344-4-4-2-2400-42-2-222214-4000-11-100-2-2003i−3i3i−3i220-22-22000001-13i−3i11-1-13i−3i−3i3i0000000000000000000000000000000000000
χ7444-4-4-2-2400-42-2-222214-4000-11-100-2-200−3i3i−3i3i220-22-22000001-1−3i3i11-1-1−3i3i3i−3i0000000000000000000000000000000000000
χ7544-4-4-2-2400-42-2-22221-44000-11-100-2-2003i−3i3i−3i2202-22-2000001-13i−3i-1-111−3i3i3i−3i0000000000000000000000000000000000000
χ7644-4-4-2-2400-42-2-22221-44000-11-100-2-200−3i3i−3i3i2202-22-2000001-1−3i3i-1-1113i−3i−3i3i0000000000000000000000000000000000000
χ7744-4-4-2-2-40042-2-222210004i−4i-11-10022003i−3i3i−3i-2-200000−2i2i0−2i2i-11−3i3i3-3-33ii−i−i0000000000000000000000000000000000000
χ7844-4-4-2-2-40042-2-222210004i−4i-11-1002200−3i3i−3i3i-2-200000−2i2i0−2i2i-113i−3i-333-3ii−i−i0000000000000000000000000000000000000
χ7944-4-4-2-2-40042-2-22221000−4i4i-11-10022003i−3i3i−3i-2-2000002i−2i02i−2i-11−3i3i-333-3−i−iii0000000000000000000000000000000000000
χ8044-4-4-2-2-40042-2-22221000−4i4i-11-1002200−3i3i−3i3i-2-2000002i−2i02i−2i-113i−3i3-3-33−i−iii0000000000000000000000000000000000000
χ814-44-4440000-4-4-44-44400000-4-4400000000000000000000000000000000004i−4i−4i4i000000000000000000000000000000000
χ824-44-4440000-4-4-44-44400000-4-440000000000000000000000000000000000−4i4i4i−4i000000000000000000000000000000000
χ834-4-444-204-404-422-2-4-200000-2224-400-22-2-222000000000000000000000000000000002i2−2i22i2−2i2000000000000−i2i2−i2i2000000000
χ844-4-444-204-404-422-2-4-200000-2224-400-22-2-22200000000000000000000000000000000−2i22i2−2i22i2000000000000i2−i2i2−i2000000000
χ854-4-444-20-4404-422-2-4-200000-222-44002-222-2-2000000000000000000000000000000002i2−2i2−2i22i2000000000000−i2i2i2−i2000000000
χ864-4-444-20-4404-422-2-4-200000-222-44002-222-2-200000000000000000000000000000000−2i22i22i2−2i2000000000000i2−i2−i2i2000000000
χ874-4-44-2404-40-22-4-442-200000-222-22004-4-2-222000000000000000000000000000022−2222−22000000000000−22−220000000000000
χ884-4-44-2404-40-22-4-442-200000-222-22004-4-2-2220000000000000000000000000000−2222−22220000000000002−22−20000000000000
χ894-4-44-240-440-22-4-442-200000-2222-200-4422-2-2000000000000000000000000000022−22−2222000000000000−222−20000000000000
χ904-4-44-240-440-22-4-442-200000-2222-200-4422-2-20000000000000000000000000000−222222−220000000000002−2−220000000000000
χ918-88-88-40000-8-84-448-40000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-48000044-88-8-4-40000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-40000444-44-4200000-2-220000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ948-88-8-4-40000444-44-4200000-2-22000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-408-80-4444-442000002-2-2-4400-4422-2-20000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-40-880-4444-442000002-2-24-4004-4-2-2220000000000000000000000000000000000000000000000000000000000000

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