Finite Group Databasebeta

← Group #11868843

Character table — Group #11868843

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444444444888888888888888888888818181818181824242424242424242424242424242424363636363648484848
order1222334444666666344444666121212121212121212121212121212121212121212121212121212121212121212122244444444888824242424242424242244412121212
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
χ511111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111
χ611111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-11-1-1-1-1-1-1
χ711111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-11111-1-1
χ811111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-111-1-111
χ91111111-1-11111111111-1-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11-11-11-11-111-1-111-1-111-1-1-11-11-1
χ101111111-1-11111111111-1-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-11-11-11-11-1-111-1-11111-1-1-1-11-11
χ111111111-1-11111111111-1-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111-1-111-1-1111-1-1-1-111-1-11111-1-11
χ121111111-1-11111111111-1-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-111-1-111-1-1-11111-1-1-1-1111-111-1
χ131111111-1-111111111-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-11-11-1-11-11-1-111-1-111-1-1-1111-11-1
χ141111111-1-111111111-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-11-111-11-111-1-111-1-1-1-1-111-11-11
χ151111111-1-111111111-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111-1-11-111-1-1-11111-1-1111-1-11-1-11
χ161111111-1-111111111-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-111-11-1-1111-1-1-1-111111-1-1-111-1
χ17222222-222-2222222200-2002222222-2-22222-2-20000-2-20000-2-2-2-20000000022-2-2-2-20000000000000000002000000
χ18222222-222-2222222200-2002222222-2-22222-2-20000-2-20000-2-2-2-200000000-2-22222000000000000000000-2000000
χ19222222-2-2-2-2222222200200222-2-2-2-2-2-2-2-2-2-2-2-20000220000-2-2220000000022-2-222000000000000000000-2000000
χ20222222-2-2-2-2222222200200222-2-2-2-2-2-2-2-2-2-2-2-20000220000-2-22200000000-2-222-2-20000000000000000002000000
χ2122222-122222-12-12-1-122222-1-1-122-1-12-1-1-1-1-12-122-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002200220000-1-1-1-10000000-1-1
χ2222222-122222-12-12-1-122222-1-1-122-1-12-1-1-1-1-12-122-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-200-2-200001111000000011
χ2322222-122222-12-12-1-1-2-22-2-2-1-1-122-1-12-1-1-1-1-12-1-2-2112-1-2-211-1-1-1-111111111000000002200-2-2000011110000000-1-1
χ2422222-122222-12-12-1-1-2-22-2-2-1-1-122-1-12-1-1-1-1-12-1-2-2112-1-2-211-1-1-1-11111111100000000-2-200220000-1-1-1-1000000011
χ2522222-12-2-222-12-12-1-122-2-2-2-1-1-1-2-2112-111112-122-1-1-21-2-211-1-111-1-1-1-11111000000002-2002-20000-1-1110000000-11
χ2622222-12-2-222-12-12-1-122-2-2-2-1-1-1-2-2112-111112-122-1-1-21-2-211-1-111-1-1-1-1111100000000-2200-22000011-1-100000001-1
χ2722222-12-2-222-12-12-1-1-2-2-222-1-1-1-2-2112-111112-1-2-211-2122-1-1-1-1111111-1-1-1-1000000002-200-22000011-1-10000000-11
χ2822222-12-2-222-12-12-1-1-2-2-222-1-1-1-2-2112-111112-1-2-211-2122-1-1-1-1111111-1-1-1-100000000-22002-20000-1-11100000001-1
χ292222-122222-12-12-12-122222-1-1-1-1-122-12-1-1-1-1-12-1-122-12-1-122-1-1-1-1-1-1-1-1-1-1-1-100000022002200-1-1-1-1000000000-1-100
χ302222-122222-12-12-12-122222-1-1-1-1-122-12-1-1-1-1-12-1-122-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000-2-200-2-20011110000000001100
χ312222-122222-12-12-12-1-2-22-2-2-1-1-1-1-122-12-1-1-1-1-1211-2-2-1211-2-2-1-1-1-1111111110000002200-2-2001111000000000-1-100
χ322222-122222-12-12-12-1-2-22-2-2-1-1-1-1-122-12-1-1-1-1-1211-2-2-1211-2-2-1-1-1-111111111000000-2-2002200-1-1-1-10000000001100
χ332222-122-2-22-12-12-12-122-2-2-2-1-1-111-2-2-121111-12-1-1221-211-2-2-1-111-1-1-1-111110000002-2002-200-1-111000000000-1100
χ342222-122-2-22-12-12-12-122-2-2-2-1-1-111-2-2-121111-12-1-1221-211-2-2-1-111-1-1-1-11111000000-2200-220011-1-10000000001-100
χ352222-122-2-22-12-12-12-1-2-2-222-1-1-111-2-2-121111-1211-2-21-2-1-122-1-1111111-1-1-1-10000002-200-220011-1-1000000000-1100
χ362222-122-2-22-12-12-12-1-2-2-222-1-1-111-2-2-121111-1211-2-21-2-1-122-1-1111111-1-1-1-1000000-22002-200-1-1110000000001-100
χ3722-2-222200-2-2-222-2-222-2000-22-20000220000-2-22-22-20000002-20022-2-200002-22-20000000000000000002-20000000
χ3822-2-222200-2-2-222-2-222-2000-22-20000220000-2-22-22-20000002-20022-2-20000-22-22000000000000000000-220000000
χ3922-2-222200-2-2-222-2-22-22000-22-20000220000-2-2-22-220000002-200-2-22200002-22-2000000000000000000-220000000
χ4022-2-222200-2-2-222-2-22-22000-22-20000220000-2-2-22-220000002-200-2-2220000-22-220000000000000000002-20000000
χ4122-2-222-2002-2-222-2-220002i−2i-22-20000-2-20000220000002i−2i2i−2i-220000002i2i−2i−2i2-2-220000000000000000000002i−2i0000
χ4222-2-222-2002-2-222-2-220002i−2i-22-20000-2-20000220000002i−2i2i−2i-220000002i2i−2i−2i-222-2000000000000000000000−2i2i0000
χ4322-2-222-2002-2-222-2-22000−2i2i-22-20000-2-2000022000000−2i2i−2i2i-22000000−2i−2i2i2i2-2-22000000000000000000000−2i2i0000
χ4422-2-222-2002-2-222-2-22000−2i2i-22-20000-2-2000022000000−2i2i−2i2i-22000000−2i−2i2i2i-222-20000000000000000000002i−2i0000
χ4544444-2-444-44-24-24-2-200-400-2-2-244-2-2-42-2-2-2-2-420000-4200002222000000000000000000000000000000000000000
χ4644444-2-4-4-4-44-24-24-2-200400-2-2-2-4-422-422222-4200004-2000022-2-2000000000000000000000000000000000000000
χ474444-24-444-4-24-24-24-200-400-2-2-2-2-2442-4-2-2-2-22-400002-400002222000000000000000000000000000000000000000
χ484444-24-4-4-4-4-24-24-24-200400-2-2-222-4-42-422222-40000-24000022-2-2000000000000000000000000000000000000000
χ494444-2-24444-2-2-2-2-2-2144444111-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000
χ504444-2-24444-2-2-2-2-2-21-4-44-4-4111-2-2-2-2-2-21111-2-22222-2-222221111-1-1-1-1-1-1-1-10000000000000000000000000000000
χ514444-2-24-4-44-2-2-2-2-2-2144-4-4-41112222-2-2-1-1-1-1-2-2-2-2-2-222222211-1-11111-1-1-1-10000000000000000000000000000000
χ524444-2-24-4-44-2-2-2-2-2-21-4-4-4441112222-2-2-1-1-1-1-2-2222222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000
χ534444-2-2-444-4-2-2-2-2-2-2100-400111-2-2-2-2221111220000220000-1-1-1-13-33-33-33-30000000000000000000000000000000
χ544444-2-2-444-4-2-2-2-2-2-2100-400111-2-2-2-2221111220000220000-1-1-1-1-33-33-33-330000000000000000000000000000000
χ554444-2-2-4-4-4-4-2-2-2-2-2-2100400111222222-1-1-1-1220000-2-20000-1-1113-33-3-33-330000000000000000000000000000000
χ564444-2-2-4-4-4-4-2-2-2-2-2-2100400111222222-1-1-1-1220000-2-20000-1-111-33-333-33-30000000000000000000000000000000
χ5744-4-44-2400-4-424-2-42-24-40002-2200004-20000-424-4-22000000-2200-2-22200000000000000000000000000000000000
χ5844-4-44-2400-4-424-2-42-2-440002-2200004-20000-42-442-2000000-220022-2-200000000000000000000000000000000000
χ5944-4-44-2-4004-424-2-42-20004i−4i2-220000-4200004-20000004i−4i−2i2i2-2000000−2i−2i2i2i0000000000000000000000000000000
χ6044-4-44-2-4004-424-2-42-2000−4i4i2-220000-4200004-2000000−4i4i2i−2i2-20000002i2i−2i−2i0000000000000000000000000000000
χ6144-4-4-24400-42-4-242-4-24-40002-220000-2400002-4-224-4000000-2200-2-22200000000000000000000000000000000000
χ6244-4-4-24400-42-4-242-4-2-440002-220000-2400002-42-2-44000000-220022-2-200000000000000000000000000000000000
χ6344-4-4-24-40042-4-242-4-20004i−4i2-2200002-40000-24000000−2i2i4i−4i2-2000000−2i−2i2i2i0000000000000000000000000000000
χ6444-4-4-24-40042-4-242-4-2000−4i4i2-2200002-40000-240000002i−2i−4i4i2-20000002i2i−2i−2i0000000000000000000000000000000
χ6544-4-4-2-2400-422-2-22214-4000-11-10000-2-23i3i−3i−3i22-22-220000001-13i−3i11-1-13i−3i−3i3i0000000000000000000000000000000
χ6644-4-4-2-2400-422-2-22214-4000-11-10000-2-2−3i−3i3i3i22-22-220000001-1−3i3i11-1-1−3i3i3i−3i0000000000000000000000000000000
χ6744-4-4-2-2400-422-2-2221-44000-11-10000-2-23i3i−3i−3i222-22-20000001-13i−3i-1-111−3i3i3i−3i0000000000000000000000000000000
χ6844-4-4-2-2400-422-2-2221-44000-11-10000-2-2−3i−3i3i3i222-22-20000001-1−3i3i-1-1113i−3i−3i3i0000000000000000000000000000000
χ6944-4-4-2-2-400422-2-22210004i−4i-11-10000223i3i−3i−3i-2-2000000−2i2i−2i2i-11−3i3i3-3-33ii−i−i0000000000000000000000000000000
χ7044-4-4-2-2-400422-2-22210004i−4i-11-1000022−3i−3i3i3i-2-2000000−2i2i−2i2i-113i−3i-333-3ii−i−i0000000000000000000000000000000
χ7144-4-4-2-2-400422-2-2221000−4i4i-11-10000223i3i−3i−3i-2-20000002i−2i2i−2i-11−3i3i-333-3−i−iii0000000000000000000000000000000
χ7244-4-4-2-2-400422-2-2221000−4i4i-11-1000022−3i−3i3i3i-2-20000002i−2i2i−2i-113i−3i3-3-33−i−iii0000000000000000000000000000000
χ734-44-44404-4044-4-4-4-44000004-4-44-44-4004-44-40000000000000000000000000000000000000000000000000000000
χ744-44-4440-44044-4-4-4-44000004-4-4-44-4400-44-440000000000000000000000000000000000000000000000000000000
χ754-44-44-204-404-2-42-42-200000-2224-4-2200-22-22000000000000000000000000000000000000000000i6−i6i6−i6000000000
χ764-44-44-204-404-2-42-42-200000-2224-4-2200-22-22000000000000000000000000000000000000000000−i6i6−i6i6000000000
χ774-44-44-20-4404-2-42-42-200000-222-442-2002-22-2000000000000000000000000000000000000000000i6−i6−i6i6000000000
χ784-44-44-20-4404-2-42-42-200000-222-442-2002-22-2000000000000000000000000000000000000000000−i6i6i6−i6000000000
χ794-44-4-2404-40-242-42-4-200000-222-224-400-22-2200000000000000000000000000000000000000i6−i6i6−i60000000000000
χ804-44-4-2404-40-242-42-4-200000-222-224-400-22-2200000000000000000000000000000000000000−i6i6−i6i60000000000000
χ814-44-4-240-440-242-42-4-200000-2222-2-44002-22-200000000000000000000000000000000000000i6−i6−i6i60000000000000
χ824-44-4-240-440-242-42-4-200000-2222-2-44002-22-200000000000000000000000000000000000000−i6i6i6−i60000000000000
χ834-4-44440000-4-4-4-444400000-4-44000000000000000000000000000000000000004-40000000000000000000000000
χ844-4-44440000-4-4-4-444400000-4-4400000000000000000000000000000000000000-440000000000000000000000000
χ858-88-8-4-408-80-4-444442000002-2-2-44-44002-22-20000000000000000000000000000000000000000000000000000000
χ868-88-8-4-40-880-4-444442000002-2-24-44-400-22-220000000000000000000000000000000000000000000000000000000
χ878-8-888-40000-84-848-4-40000044-400000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-4800004-84-8-48-40000044-400000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400004444-4-4200000-2-220000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000
χ908-8-88-4-400004444-4-4200000-2-22000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000

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