Finite Group Databasebeta

← Group #11868403

Character table — Group #11868403

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order1222334444666666344444666121212121212121212121212121212121212121212121212121212121212121212122222888888884444444424242424242424244444412121212
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
χ5111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111
χ7111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-111
χ8111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1111111-1-1
χ91111111-1-111111111-111-1-111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-111-1-11-11-111-1-111-1-1-111-1-11-11-1
χ101111111-1-111111111-111-1-111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-11111-1-1-11-11-1-111-1-111-111-1-1-11-11
χ111111111-1-111111111-111-1-111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111-1-1111-1-1-1-1111-1-1111-1-11
χ121111111-1-111111111-111-1-111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-1-1-11111-1-11-1-111-111-1
χ131111111-1-111111111-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-111-1-111-1-1-11-1111-1-111-1-1-1-1-111-11-11
χ141111111-1-111111111-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-111-1-11111-1-11-11-1-1-111-1-111-1-1-1111-11-1
χ151111111-1-111111111-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-111-111-1-1-1-111111-1-1-111-1
χ161111111-1-111111111-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-11-1-11111-1-1111-1-11-1-11
χ17222222-222-22222222-20000222-2-222222222-2-2-2-200000000-2-2-2-200000000222200000000-2-222000000000000-200000000
χ18222222-222-22222222-20000222-2-222222222-2-2-2-200000000-2-2-2-200000000-2-2-2-20000000022-2-2000000000000200000000
χ19222222-2-2-2-2222222220000222-2-2-2-2-2-2-2-2-2-2-2-22200000000-2-22200000000222200000000-2-2-2-2000000000000200000000
χ20222222-2-2-2-2222222220000222-2-2-2-2-2-2-2-2-2-2-2-22200000000-2-22200000000-2-2-2-2000000002222000000000000-200000000
χ2122222-1222222-1-12-1-122222-1-1-12-122-1-1-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222000000220000-1-1-1-10000000-1-1
χ2222222-1222222-1-12-1-122222-1-1-12-122-1-1-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000-2-200001111000000011
χ2322222-1222222-1-12-1-12-2-2-2-2-1-1-12-122-1-1-1-1-1-12-12-1-2-211-2-211-1-1-1-111111111000000002222000000-2-20000-1-1-1-1000000011
χ2422222-1222222-1-12-1-12-2-2-2-2-1-1-12-122-1-1-1-1-1-12-12-1-2-211-2-211-1-1-1-11111111100000000-2-2-2-200000022000011110000000-1-1
χ2522222-12-2-2222-1-12-1-1-222-2-2-1-1-12-1-2-21111112-1-2122-1-1-2-211-1-111-1-1-1-111110000000022-2-20000002-20000-1-1110000000-11
χ2622222-12-2-2222-1-12-1-1-222-2-2-1-1-12-1-2-21111112-1-2122-1-1-2-211-1-111-1-1-1-1111100000000-2-222000000-22000011-1-100000001-1
χ2722222-12-2-2222-1-12-1-1-2-2-222-1-1-12-1-2-21111112-1-21-2-21122-1-1-1-1111111-1-1-1-10000000022-2-2000000-220000-1-11100000001-1
χ2822222-12-2-2222-1-12-1-1-2-2-222-1-1-12-1-2-21111112-1-21-2-21122-1-1-1-1111111-1-1-1-100000000-2-2220000002-2000011-1-10000000-11
χ292222-122222-1-122-12-122222-1-1-1-12-1-122-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100002222000000002200-1-1-1-1000000000-1-100
χ302222-122222-1-122-12-122222-1-1-1-12-1-122-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000-2-20011110000000001100
χ312222-122222-1-122-12-12-2-2-2-2-1-1-1-12-1-122-1-1-1-1-12-1211-2-211-2-2-1-1-1-1111111110000222200000000-2-200-1-1-1-10000000001100
χ322222-122222-1-122-12-12-2-2-2-2-1-1-1-12-1-122-1-1-1-1-12-1211-2-211-2-2-1-1-1-1111111110000-2-2-2-20000000022001111000000000-1-100
χ332222-122-2-22-1-122-12-1-222-2-2-1-1-1-1211-2-21111-121-2-1-12211-2-2-1-111-1-1-1-11111000022-2-2000000002-200-1-111000000000-1100
χ342222-122-2-22-1-122-12-1-222-2-2-1-1-1-1211-2-21111-121-2-1-12211-2-2-1-111-1-1-1-111110000-2-22200000000-220011-1-10000000001-100
χ352222-122-2-22-1-122-12-1-2-2-222-1-1-1-1211-2-21111-121-211-2-2-1-122-1-1111111-1-1-1-1000022-2-200000000-2200-1-1110000000001-100
χ362222-122-2-22-1-122-12-1-2-2-222-1-1-1-1211-2-21111-121-211-2-2-1-122-1-1111111-1-1-1-10000-2-222000000002-20011-1-1000000000-1100
χ3722-2-222200-22-22-2-2-220002-2-22-22200000000-2-20000002-22-22-200000022-2-222-2-2000000002-2000000000000000002-20000
χ3822-2-222200-22-22-2-2-220002-2-22-22200000000-2-20000002-22-22-200000022-2-2-2-22200000000-2200000000000000000-220000
χ3922-2-222200-22-22-2-2-22000-22-22-22200000000-2-2000000-22-222-2000000-2-22222-2-2000000002-200000000000000000-220000
χ4022-2-222200-22-22-2-2-22000-22-22-22200000000-2-2000000-22-222-2000000-2-222-2-22200000000-22000000000000000002-20000
χ4122-2-222-20022-22-2-2-2202i−2i00-22-2-2-20000000022002i−2i2i−2i0000-22002i2i−2i−2i000022-2-200000000-220000000000000002i−2i000000
χ4222-2-222-20022-22-2-2-2202i−2i00-22-2-2-20000000022002i−2i2i−2i0000-22002i2i−2i−2i0000-2-222000000002-2000000000000000−2i2i000000
χ4322-2-222-20022-22-2-2-220−2i2i00-22-2-2-2000000002200−2i2i−2i2i0000-2200−2i−2i2i2i000022-2-200000000-22000000000000000−2i2i000000
χ4422-2-222-20022-22-2-2-220−2i2i00-22-2-2-2000000002200−2i2i−2i2i0000-2200−2i−2i2i2i0000-2-222000000002-20000000000000002i−2i000000
χ452-2-222202-20-2-2-2-2222000002-2-2002-22-222-2-20000000000000000000000002-22-2i2−i2i2−i2i2−i2i2−i2002-20000i2−i2i2−i2i2−i2i2−i2000000000
χ462-2-222202-20-2-2-2-2222000002-2-2002-22-222-2-20000000000000000000000002-22-2−i2i2−i2i2−i2i2−i2i2002-20000−i2i2−i2i2−i2i2−i2i2000000000
χ472-2-222202-20-2-2-2-2222000002-2-2002-22-222-2-2000000000000000000000000-22-22i2−i2i2−i2−i2i2−i2i200-220000i2−i2i2−i2−i2i2−i2i2000000000
χ482-2-222202-20-2-2-2-2222000002-2-2002-22-222-2-2000000000000000000000000-22-22−i2i2−i2i2i2−i2i2−i200-220000−i2i2−i2i2i2−i2i2−i2000000000
χ492-2-22220-220-2-2-2-2222000002-2-200-22-22-2-2220000000000000000000000002-22-2i2−i2−i2i2i2−i2−i2i200-220000i2−i2−i2i2i2−i2−i2i2000000000
χ502-2-22220-220-2-2-2-2222000002-2-200-22-22-2-2220000000000000000000000002-22-2−i2i2i2−i2−i2i2i2−i200-220000−i2i2i2−i2−i2i2i2−i2000000000
χ512-2-22220-220-2-2-2-2222000002-2-200-22-22-2-222000000000000000000000000-22-22i2−i2−i2i2−i2i2i2−i2002-20000i2−i2−i2i2−i2i2i2−i2000000000
χ522-2-22220-220-2-2-2-2222000002-2-200-22-22-2-222000000000000000000000000-22-22−i2i2i2−i2i2−i2−i2i2002-20000−i2i2i2−i2i2−i2−i2i2000000000
χ5344444-2-444-444-2-24-2-2-40000-2-2-2-4244-2-2-2-2-2-2-42-42000000002222000000000000000000000000000000000000000000000
χ5444444-2-4-4-4-444-2-24-2-240000-2-2-2-42-4-4222222-424-20000000022-2-2000000000000000000000000000000000000000000000
χ554444-24-444-4-2-244-24-2-40000-2-2-22-4-2-244-2-2-2-22-42-4000000002222000000000000000000000000000000000000000000000
χ564444-24-4-4-4-4-2-244-24-240000-2-2-22-422-4-422222-4-240000000022-2-2000000000000000000000000000000000000000000000
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
χ584444-2-24444-2-2-2-2-2-214-4-4-4-4111-2-2-2-2-2-21111-2-2-2-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000
χ594444-2-24-4-44-2-2-2-2-2-21-444-4-4111-2-22222-1-1-1-1-2-222-2-2-2-2222211-1-11111-1-1-1-10000000000000000000000000000000000000
χ604444-2-24-4-44-2-2-2-2-2-21-4-4-444111-2-22222-1-1-1-1-2-2222222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
χ614444-2-2-444-4-2-2-2-2-2-21-4000011122-2-2-2-21111222200000000-1-1-1-13-33-33-33-30000000000000000000000000000000000000
χ624444-2-2-444-4-2-2-2-2-2-21-4000011122-2-2-2-21111222200000000-1-1-1-1-33-33-33-330000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-2140000111222222-1-1-1-122-2-200000000-1-1113-33-3-33-330000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-2140000111222222-1-1-1-122-2-200000000-1-111-33-333-33-30000000000000000000000000000000000000
χ6544-4-44-2400-44-4-22-42-20004-42-224-200000000-420000004-4-22-22000000-2-2220000000000000000000000000000000000000
χ6644-4-44-2400-44-4-22-42-2000-442-224-200000000-42000000-442-2-2200000022-2-20000000000000000000000000000000000000
χ6744-4-44-2-40044-4-22-42-204i−4i002-22-42000000004-2004i−4i−2i2i00002-200−2i−2i2i2i00000000000000000000000000000000000000000
χ6844-4-44-2-40044-4-22-42-20−4i4i002-22-42000000004-200−4i4i2i−2i00002-2002i2i−2i−2i00000000000000000000000000000000000000000
χ6944-4-4-24400-4-224-42-4-20004-42-22-24000000002-4000000-224-4-22000000-2-2220000000000000000000000000000000000000
χ7044-4-4-24400-4-224-42-4-2000-442-22-24000000002-40000002-2-44-2200000022-2-20000000000000000000000000000000000000
χ7144-4-4-24-4004-224-42-4-204i−4i002-222-400000000-2400−2i2i4i−4i00002-200−2i−2i2i2i00000000000000000000000000000000000000000
χ7244-4-4-24-4004-224-42-4-20−4i4i002-222-400000000-24002i−2i−4i4i00002-2002i2i−2i−2i00000000000000000000000000000000000000000
χ7344-4-4-2-2400-4-22-222210004-4-11-1-2-200003i−3i3i−3i22000000-22-221-13i−3i3i−3i−3i3i11-1-10000000000000000000000000000000000000
χ7444-4-4-2-2400-4-22-222210004-4-11-1-2-20000−3i3i−3i3i22000000-22-221-1−3i3i−3i3i3i−3i11-1-10000000000000000000000000000000000000
χ7544-4-4-2-2400-4-22-22221000-44-11-1-2-200003i−3i3i−3i220000002-22-21-13i−3i−3i3i3i−3i-1-1110000000000000000000000000000000000000
χ7644-4-4-2-2400-4-22-22221000-44-11-1-2-20000−3i3i−3i3i220000002-22-21-1−3i3i3i−3i−3i3i-1-1110000000000000000000000000000000000000
χ7744-4-4-2-2-4004-22-2222104i−4i00-11-12200003i−3i3i−3i-2-200−2i2i−2i2i0000-11−3i3iii−i−i3-3-330000000000000000000000000000000000000
χ7844-4-4-2-2-4004-22-2222104i−4i00-11-1220000−3i3i−3i3i-2-200−2i2i−2i2i0000-113i−3iii−i−i-333-30000000000000000000000000000000000000
χ7944-4-4-2-2-4004-22-222210−4i4i00-11-12200003i−3i3i−3i-2-2002i−2i2i−2i0000-11−3i3i−i−iii-333-30000000000000000000000000000000000000
χ8044-4-4-2-2-4004-22-222210−4i4i00-11-1220000−3i3i−3i3i-2-2002i−2i2i−2i0000-113i−3i−i−iii3-3-330000000000000000000000000000000000000
χ814-44-4440000-44-44-4-4400000-4-4400000000000000000000000000000000004-4-44000000000000000000000000000000000
χ824-44-4440000-44-44-4-4400000-4-440000000000000000000000000000000000-444-4000000000000000000000000000000000
χ834-4-444-204-40-4-4224-2-200000-222004-4-22-2-222000000000000000000000000000000002i2−2i22i2−2i2000000000000−i2i2−i2i2000000000
χ844-4-444-204-40-4-4224-2-200000-222004-4-22-2-22200000000000000000000000000000000−2i22i2−2i22i2000000000000i2−i2i2−i2000000000
χ854-4-444-20-440-4-4224-2-200000-22200-442-222-2-2000000000000000000000000000000002i2−2i2−2i22i2000000000000−i2i2i2−i2000000000
χ864-4-444-20-440-4-4224-2-200000-22200-442-222-2-200000000000000000000000000000000−2i22i22i2−2i2000000000000i2−i2−i2i2000000000
χ874-4-44-2404-4022-4-4-24-200000-22200-224-4-2-22200000000000000000000000000002i2−2i22i2−2i2000000000000−i2i2−i2i20000000000000
χ884-4-44-2404-4022-4-4-24-200000-22200-224-4-2-2220000000000000000000000000000−2i22i2−2i22i2000000000000i2−i2i2−i20000000000000
χ894-4-44-240-44022-4-4-24-200000-222002-2-4422-2-200000000000000000000000000002i2−2i2−2i22i2000000000000−i2i2i2−i20000000000000
χ904-4-44-240-44022-4-4-24-200000-222002-2-4422-2-20000000000000000000000000000−2i22i22i2−2i2000000000000i2−i2−i2i20000000000000
χ918-88-88-40000-884-4-84-40000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4800004-4-884-8-40000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-400004-44-444200000-2-220000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ948-88-8-4-400004-44-444200000-2-22000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-408-804444-4-42000002-2-200-44-4422-2-20000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-40-8804444-4-42000002-2-2004-44-4-2-2220000000000000000000000000000000000000000000000000000000000000

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