Finite Group Databasebeta

← Group #11868812

Character table — Group #11868812

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444444444888888888888888888888818181818181824242424242424242424242424242424363636363648484848
order12223344446666662234446661212121212121212121212126666666612121212121212121212121212122244444444888824242424242424244444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-111
χ51111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ61111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-11-1-1-1-1
χ71111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-111-1-1
χ81111111111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-111
χ91111111-1-11111111111-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-11-11-11-11-111-1-111-1-111-1-1-11-11-1
χ101111111-1-11111111111-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-11-11-11-11-1-111-1-11111-1-1-1-11-11
χ111111111-1-11111111111-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111-1-1-1-111-1-11111-1-11
χ121111111-1-11111111111-1-1-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-11111-1-1-1-1111-111-1
χ131111111-1-11111111-1-11-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-11-11-1-11-11-1-111-1-111-1-111-11-11-1
χ141111111-1-11111111-1-11-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-11-111-11-111-1-111-1-1-1-111-1-11-11
χ151111111-1-11111111-1-11-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1-11-111-1-1-11111-1-111-1-111-1-11
χ161111111-1-11111111-1-11-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-111-11-1-1111-1-1-1-11111-1-11-111-1
χ17222222-222-2222222002-200222-2-222222222-2-200000000-2-20000-2-2-2-2000022-2-2-2-20000000000000000000020000
χ18222222-222-2222222002-200222-2-222222222-2-200000000-2-20000-2-2-2-20000-2-2222200000000000000000000-20000
χ19222222-2-2-2-2222222002200222-2-2-2-2-2-2-2-2-2-2-2-200000000220000-2-222000022-2-22200000000000000000000-20000
χ20222222-2-2-2-2222222002200222-2-2-2-2-2-2-2-2-2-2-2-200000000220000-2-2220000-2-222-2-20000000000000000000020000
χ2122222-1222222-1-12-122-1222-1-1-12-122-1-1-1-1-1-12-122-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1000000002200220000-1-1-1-10000000-1-1
χ2222222-1222222-1-12-122-1222-1-1-12-122-1-1-1-1-1-12-122-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-100000000-2-200-2-200001111000000011
χ2322222-1222222-1-12-1-2-2-12-2-2-1-1-12-122-1-1-1-1-1-12-1-2-21111112-1-2-211-1-1-1-11111000000002200-2-2000011110000000-1-1
χ2422222-1222222-1-12-1-2-2-12-2-2-1-1-12-122-1-1-1-1-1-12-1-2-21111112-1-2-211-1-1-1-1111100000000-2-200220000-1-1-1-1000000011
χ2522222-12-2-2222-1-12-122-1-2-2-2-1-1-12-1-2-21111112-122-1-1-1-1-1-1-21-2-211-1-1111111000000002-2002-20000-1-1110000000-11
χ2622222-12-2-2222-1-12-122-1-2-2-2-1-1-12-1-2-21111112-122-1-1-1-1-1-1-21-2-211-1-111111100000000-2200-22000011-1-100000001-1
χ2722222-12-2-2222-1-12-1-2-2-1-222-1-1-12-1-2-21111112-1-2-2111111-2122-1-1-1-111-1-1-1-1000000002-200-22000011-1-10000000-11
χ2822222-12-2-2222-1-12-1-2-2-1-222-1-1-12-1-2-21111112-1-2-2111111-2122-1-1-1-111-1-1-1-100000000-22002-20000-1-11100000001-1
χ292222-122222-1-122-1222-1222-1-1-1-12-1-122-1-1-1-1-12-1-122-1-1-1-1-12-1-122-1-1-1-1-1-1-1-100000022002200-1-1-1-1000000000-1-100
χ302222-122222-1-122-1222-1222-1-1-1-12-1-122-1-1-1-1-12-1-122-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1000000-2-200-2-20011110000000001100
χ312222-122222-1-122-12-2-2-12-2-2-1-1-1-12-1-122-1-1-1-1-1211-2-21111-1211-2-2-1-1-1-111110000002200-2-2001111000000000-1-100
χ322222-122222-1-122-12-2-2-12-2-2-1-1-1-12-1-122-1-1-1-1-1211-2-21111-1211-2-2-1-1-1-11111000000-2-2002200-1-1-1-10000000001100
χ332222-122-2-22-1-122-1222-1-2-2-2-1-1-1-1211-2-21111-12-1-122-1-1-1-11-211-2-2-1-11111110000002-2002-200-1-111000000000-1100
χ342222-122-2-22-1-122-1222-1-2-2-2-1-1-1-1211-2-21111-12-1-122-1-1-1-11-211-2-2-1-1111111000000-2200-220011-1-10000000001-100
χ352222-122-2-22-1-122-12-2-2-1-222-1-1-1-1211-2-21111-1211-2-211111-2-1-122-1-111-1-1-1-10000002-200-220011-1-1000000000-1100
χ362222-122-2-22-1-122-12-2-2-1-222-1-1-1-1211-2-21111-1211-2-211111-2-1-122-1-111-1-1-1-1000000-22002-200-1-1110000000001-100
χ3722-2-222200-22-22-2-2-22-220002-2-22200000000-2-22-22-222-2-20000002-20000002-22-20000000000000000002-20000000
χ3822-2-222200-22-22-2-2-22-220002-2-22200000000-2-22-22-222-2-20000002-2000000-22-22000000000000000000-220000000
χ3922-2-222200-22-22-2-2-2-2220002-2-22200000000-2-2-22-22-2-2220000002-20000002-22-2000000000000000000-220000000
χ4022-2-222200-22-22-2-2-2-2220002-2-22200000000-2-2-22-22-2-2220000002-2000000-22-220000000000000000002-20000000
χ4122-2-222-20022-22-2-2-200202i−2i2-2-2-2-2000000002200000000002i−2i2i−2i-22002i2i−2i−2i2-2-22000000000000000000002i−2i00000
χ4222-2-222-20022-22-2-2-200202i−2i2-2-2-2-2000000002200000000002i−2i2i−2i-22002i2i−2i−2i-222-200000000000000000000−2i2i00000
χ4322-2-222-20022-22-2-2-20020−2i2i2-2-2-2-200000000220000000000−2i2i−2i2i-2200−2i−2i2i2i2-2-2200000000000000000000−2i2i00000
χ4422-2-222-20022-22-2-2-20020−2i2i2-2-2-2-200000000220000000000−2i2i−2i2i-2200−2i−2i2i2i-222-2000000000000000000002i−2i00000
χ4544444-2-444-444-2-24-200-2-400-2-2-2-4244-2-2-2-2-2-2-4200000000-420000222200000000000000000000000000000000000
χ4644444-2-4-4-4-444-2-24-200-2400-2-2-2-42-4-4222222-42000000004-2000022-2-200000000000000000000000000000000000
χ474444-24-444-4-2-244-2400-2-400-2-2-22-4-2-244-2-2-2-22-4000000002-40000222200000000000000000000000000000000000
χ484444-24-4-4-4-4-2-244-2400-2400-2-2-22-422-4-422222-400000000-24000022-2-200000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-2441444111-2-2-2-2-2-21111-2-2-2-2-2-21111-2-2-2-2-2-2111111110000000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-2-4-414-4-4111-2-2-2-2-2-21111-2-22222-1-1-1-1-2-222221111-1-1-1-10000000000000000000000000000000
χ514444-2-24-4-44-2-2-2-2-2-2441-4-4-4111-2-22222-1-1-1-1-2-2-2-2-2-2111122222211-1-1-1-1-1-10000000000000000000000000000000
χ524444-2-24-4-44-2-2-2-2-2-2-4-41-444111-2-22222-1-1-1-1-2-22222-1-1-1-122-2-2-2-211-1-111110000000000000000000000000000000
χ534444-2-2-444-4-2-2-2-2-2-2001-40011122-2-2-2-211112200003-33-3220000-1-1-1-13-33-30000000000000000000000000000000
χ544444-2-2-444-4-2-2-2-2-2-2001-40011122-2-2-2-21111220000-33-33220000-1-1-1-1-33-330000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-2001400111222222-1-1-1-12200003-33-3-2-20000-1-111-33-330000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-2001400111222222-1-1-1-1220000-33-33-2-20000-1-1113-33-30000000000000000000000000000000
χ5744-4-44-2400-44-4-22-424-4-2000-2224-200000000-424-4-22-2-222000000-220000000000000000000000000000000000000
χ5844-4-44-2400-44-4-22-42-44-2000-2224-200000000-42-442-222-2-2000000-220000000000000000000000000000000000000
χ5944-4-44-2-40044-4-22-4200-204i−4i-222-42000000004-200000000004i−4i−2i2i2-200−2i−2i2i2i0000000000000000000000000000000
χ6044-4-44-2-40044-4-22-4200-20−4i4i-222-42000000004-20000000000−4i4i2i−2i2-2002i2i−2i−2i0000000000000000000000000000000
χ6144-4-4-24400-4-224-42-44-4-2000-222-24000000002-4-224-4-2-222000000-220000000000000000000000000000000000000
χ6244-4-4-24400-4-224-42-4-44-2000-222-24000000002-42-2-4422-2-2000000-220000000000000000000000000000000000000
χ6344-4-4-24-4004-224-42-400-204i−4i-2222-400000000-240000000000−2i2i4i−4i2-200−2i−2i2i2i0000000000000000000000000000000
χ6444-4-4-24-4004-224-42-400-20−4i4i-2222-400000000-2400000000002i−2i−4i4i2-2002i2i−2i−2i0000000000000000000000000000000
χ6544-4-4-2-2400-4-22-22224-410001-1-1-2-200003i3i−3i−3i22-22-2211-1-10000001-13i−3i3i−3i−3i3i0000000000000000000000000000000
χ6644-4-4-2-2400-4-22-22224-410001-1-1-2-20000−3i−3i3i3i22-22-2211-1-10000001-1−3i3i−3i3i3i−3i0000000000000000000000000000000
χ6744-4-4-2-2400-4-22-2222-4410001-1-1-2-200003i3i−3i−3i222-22-2-1-1110000001-13i−3i−3i3i3i−3i0000000000000000000000000000000
χ6844-4-4-2-2400-4-22-2222-4410001-1-1-2-20000−3i−3i3i3i222-22-2-1-1110000001-1−3i3i3i−3i−3i3i0000000000000000000000000000000
χ6944-4-4-2-2-4004-22-222200104i−4i1-1-12200003i3i−3i−3i-2-200003-3-3300−2i2i−2i2i-11−3i3iii−i−i0000000000000000000000000000000
χ7044-4-4-2-2-4004-22-222200104i−4i1-1-1220000−3i−3i3i3i-2-20000-333-300−2i2i−2i2i-113i−3iii−i−i0000000000000000000000000000000
χ7144-4-4-2-2-4004-22-22220010−4i4i1-1-12200003i3i−3i−3i-2-20000-333-3002i−2i2i−2i-11−3i3i−i−iii0000000000000000000000000000000
χ7244-4-4-2-2-4004-22-22220010−4i4i1-1-1220000−3i−3i3i3i-2-200003-3-33002i−2i2i−2i-113i−3i−i−iii0000000000000000000000000000000
χ734-44-4440000-44-44-4-4004000-44-4000000000000000000000000000000000000004-40000000000000000000000000
χ744-44-4440000-44-44-4-4004000-44-400000000000000000000000000000000000000-440000000000000000000000000
χ754-4-444404-40-4-4-4-444004000-4-44004-44-44-44-40000000000000000000000000000000000000000000000000000000
χ764-4-44440-440-4-4-4-444004000-4-4400-44-44-44-440000000000000000000000000000000000000000000000000000000
χ774-4-444-204-40-4-4224-200-200022-2004-4-22-22-22000000000000000000000000000000000000000000i6−i6i6−i6000000000
χ784-4-444-204-40-4-4224-200-200022-2004-4-22-22-22000000000000000000000000000000000000000000−i6i6−i6i6000000000
χ794-4-444-20-440-4-4224-200-200022-200-442-22-22-2000000000000000000000000000000000000000000i6−i6−i6i6000000000
χ804-4-444-20-440-4-4224-200-200022-200-442-22-22-2000000000000000000000000000000000000000000−i6i6i6−i6000000000
χ814-4-44-2404-4022-4-4-2400-200022-200-224-4-22-2200000000000000000000000000000000000000i6−i6i6−i60000000000000
χ824-4-44-2404-4022-4-4-2400-200022-200-224-4-22-2200000000000000000000000000000000000000−i6i6−i6i60000000000000
χ834-4-44-240-44022-4-4-2400-200022-2002-2-442-22-200000000000000000000000000000000000000i6−i6−i6i60000000000000
χ844-4-44-240-44022-4-4-2400-200022-2002-2-442-22-200000000000000000000000000000000000000−i6i6i6−i60000000000000
χ858-88-88-40000-884-4-8400-40004-4400000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-4800004-4-884-800-40004-4400000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-400004-44-444002000-22-20000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000
χ888-88-8-4-400004-44-444002000-22-2000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000
χ898-8-88-4-408-804444-4-4002000-2-2200-44-442-22-20000000000000000000000000000000000000000000000000000000
χ908-8-88-4-40-8804444-4-4002000-2-22004-44-4-22-220000000000000000000000000000000000000000000000000000000

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