Finite Group Databasebeta

← Group #11868746

Character table — Group #11868746

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444444444888888888888888888888818181818181824242424242424242424242424242424363636363648484848
order1222334444666666344444666121212121212121212121212121212121212121212121212121212121212121212122244444444888824242424242424244444412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-11-111-1-11111-1-1-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-11-11-1-111-1-1-1-11111-1-1-1-1-1-11-11
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
χ711111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1111111-1111-11-1
χ811111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-111-111-11-11
χ9111111-1-111111111111-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111-1-111-11-111-1-111-1-111-1-1-11-1-11
χ10111111-1-111111111111-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-111-1-11-11-1-111-1-11111-1-1-1-111-1
χ11111111-1-111111111111-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-11-1-1111-1-1-1-111-1-111111-1-1
χ12111111-1-111111111111-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-111-1-1-11111-1-1-1-1111-1-111
χ13111111-1-1111111111-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1111-1-11-11-11-1-111-1-111-1-1-1111-1-11
χ14111111-1-1111111111-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-111-11-11-111-1-111-1-1-1-1-111-111-1
χ15111111-1-1111111111-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-111-1-1-111-1-1-11111-1-1111-1-111-1-1
χ16111111-1-1111111111-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1111-1-1111-1-1-1-111111-1-1-1-111
χ1722222222-2-2222222200-200222-2-222222222-2-20000-2-20000-2-2-2-2000000002222-2-2000000000000000000-2000000
χ1822222222-2-2222222200-200222-2-222222222-2-20000-2-20000-2-2-2-200000000-2-2-2-2220000000000000000002000000
χ19222222-2-2-2-2222222200200222-2-2-2-2-2-2-2-2-2-2-2-20000220000-2-2220000000022-2-2-2-20000000000000000002000000
χ20222222-2-2-2-2222222200200222-2-2-2-2-2-2-2-2-2-2-2-20000220000-2-22200000000-2-22222000000000000000000-2000000
χ2122222-122222-12-12-1-122222-1-1-12-122-1-1-1-1-1-12-122-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000020200220000-1-1-1-1000000-10-1
χ2222222-122222-12-12-1-122222-1-1-12-122-1-1-1-1-1-12-122-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000-20-200-2-200001111000000101
χ2322222-122222-12-12-1-1-2-22-2-2-1-1-12-122-1-1-1-1-1-12-1-2-2112-1-2-211-1-1-1-111111111000000020200-2-200001111000000-10-1
χ2422222-122222-12-12-1-1-2-22-2-2-1-1-12-122-1-1-1-1-1-12-1-2-2112-1-2-211-1-1-1-1111111110000000-20-200220000-1-1-1-1000000101
χ2522222-1-2-2222-12-12-1-122-2-2-2-1-1-12-1-2-21111112-122-1-1-21-2-211-1-111-1-1-1-11111000000020-200-22000011-1-1000000-101
χ2622222-1-2-2222-12-12-1-122-2-2-2-1-1-12-1-2-21111112-122-1-1-21-2-211-1-111-1-1-1-111110000000-202002-20000-1-11100000010-1
χ2722222-1-2-2222-12-12-1-1-2-2-222-1-1-12-1-2-21111112-1-2-211-2122-1-1-1-1111111-1-1-1-1000000020-2002-20000-1-111000000-101
χ2822222-1-2-2222-12-12-1-1-2-2-222-1-1-12-1-2-21111112-1-2-211-2122-1-1-1-1111111-1-1-1-10000000-20200-22000011-1-100000010-1
χ292222-122222-12-12-12-122222-1-1-1-12-1-122-1-1-1-1-12-1-122-12-1-122-1-1-1-1-1-1-1-1-1-1-1-100000020202200-1-1-1-1000000000-10-10
χ302222-122222-12-12-12-122222-1-1-1-12-1-122-1-1-1-1-12-1-122-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000-20-20-2-20011110000000001010
χ312222-122222-12-12-12-1-2-22-2-2-1-1-1-12-1-122-1-1-1-1-1211-2-2-1211-2-2-1-1-1-1111111110000002020-2-2001111000000000-10-10
χ322222-122222-12-12-12-1-2-22-2-2-1-1-1-12-1-122-1-1-1-1-1211-2-2-1211-2-2-1-1-1-111111111000000-20-202200-1-1-1-10000000001010
χ332222-12-2-222-12-12-12-122-2-2-2-1-1-1-1211-2-21111-12-1-1221-211-2-2-1-111-1-1-1-1111100000020-202-200-1-111000000000-1010
χ342222-12-2-222-12-12-12-122-2-2-2-1-1-1-1211-2-21111-12-1-1221-211-2-2-1-111-1-1-1-11111000000-2020-220011-1-100000000010-10
χ352222-12-2-222-12-12-12-1-2-2-222-1-1-1-1211-2-21111-1211-2-21-2-1-122-1-1111111-1-1-1-100000020-20-220011-1-1000000000-1010
χ362222-12-2-222-12-12-12-1-2-2-222-1-1-1-1211-2-21111-1211-2-21-2-1-122-1-1111111-1-1-1-1000000-20202-200-1-11100000000010-10
χ372-22-222002-222-2-2-2-222-2000-22-22200000000-2-22-22-20000002-20022-2-200002-2002-200000000000000002-20000000
χ382-22-222002-222-2-2-2-222-2000-22-22200000000-2-22-22-20000002-20022-2-20000-2200-220000000000000000-220000000
χ392-22-222002-222-2-2-2-22-22000-22-22200000000-2-2-22-220000002-200-2-22200002-2002-20000000000000000-220000000
χ402-22-222002-222-2-2-2-22-22000-22-22200000000-2-2-22-220000002-200-2-2220000-2200-2200000000000000002-20000000
χ412-22-22200-2222-2-2-2-220002i−2i-22-2-2-200000000220000002i−2i2i−2i-220000002i2i−2i−2i2-200-2200000000000000000002i−2i0000
χ422-22-22200-2222-2-2-2-220002i−2i-22-2-2-200000000220000002i−2i2i−2i-220000002i2i−2i−2i-22002-20000000000000000000−2i2i0000
χ432-22-22200-2222-2-2-2-22000−2i2i-22-2-2-20000000022000000−2i2i−2i2i-22000000−2i−2i2i2i2-200-220000000000000000000−2i2i0000
χ442-22-22200-2222-2-2-2-22000−2i2i-22-2-2-20000000022000000−2i2i−2i2i-22000000−2i−2i2i2i-22002-200000000000000000002i−2i0000
χ4544444-244-4-44-24-24-2-200-400-2-2-2-4244-2-2-2-2-2-2-420000-4200002222000000000000000000000000000000000000000
χ4644444-2-4-4-4-44-24-24-2-200400-2-2-2-42-4-4222222-4200004-2000022-2-2000000000000000000000000000000000000000
χ474444-2444-4-4-24-24-24-200-400-2-2-22-4-2-244-2-2-2-22-400002-400002222000000000000000000000000000000000000000
χ484444-24-4-4-4-4-24-24-24-200400-2-2-22-422-4-422222-40000-24000022-2-2000000000000000000000000000000000000000
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
χ514444-2-244-4-4-2-2-2-2-2-2100-40011122-2-2-2-21111220000220000-1-1-1-13-33-33-33-30000000000000000000000000000000
χ524444-2-244-4-4-2-2-2-2-2-2100-40011122-2-2-2-21111220000220000-1-1-1-1-33-33-33-330000000000000000000000000000000
χ534444-2-2-4-444-2-2-2-2-2-2144-4-4-4111-2-22222-1-1-1-1-2-2-2-2-2-222222211-1-11111-1-1-1-10000000000000000000000000000000
χ544444-2-2-4-444-2-2-2-2-2-21-4-4-444111-2-22222-1-1-1-1-2-2222222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000
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
χ5744-4-4440000-4-444-4-44000004-4-40000000000000000000000000000000000004-4000000000000000000000000000
χ5844-4-4440000-4-444-4-44000004-4-4000000000000000000000000000000000000-44000000000000000000000000000
χ594-44-44-2004-44-2-42-42-24-40002-224-200000000-424-4-22000000-2200-2-22200000000000000000000000000000000000
χ604-44-44-2004-44-2-42-42-2-440002-224-200000000-42-442-2000000-220022-2-200000000000000000000000000000000000
χ614-44-44-200-444-2-42-42-20004i−4i2-22-42000000004-20000004i−4i−2i2i2-2000000−2i−2i2i2i0000000000000000000000000000000
χ624-44-44-200-444-2-42-42-2000−4i4i2-22-42000000004-2000000−4i4i2i−2i2-20000002i2i−2i−2i0000000000000000000000000000000
χ634-44-4-24004-4-242-42-4-24-40002-22-24000000002-4-224-4000000-2200-2-22200000000000000000000000000000000000
χ644-44-4-24004-4-242-42-4-2-440002-22-24000000002-42-2-44000000-220022-2-200000000000000000000000000000000000
χ654-44-4-2400-44-242-42-4-20004i−4i2-222-400000000-24000000−2i2i4i−4i2-2000000−2i−2i2i2i0000000000000000000000000000000
χ664-44-4-2400-44-242-42-4-2000−4i4i2-222-400000000-240000002i−2i−4i4i2-20000002i2i−2i−2i0000000000000000000000000000000
χ674-44-4-2-2004-4-2-2222214-4000-11-1-2-200003i3i−3i−3i22-22-220000001-13i−3i11-1-13i−3i−3i3i0000000000000000000000000000000
χ684-44-4-2-2004-4-2-2222214-4000-11-1-2-20000−3i−3i3i3i22-22-220000001-1−3i3i11-1-1−3i3i3i−3i0000000000000000000000000000000
χ694-44-4-2-2004-4-2-222221-44000-11-1-2-200003i3i−3i−3i222-22-20000001-13i−3i-1-111−3i3i3i−3i0000000000000000000000000000000
χ704-44-4-2-2004-4-2-222221-44000-11-1-2-20000−3i−3i3i3i222-22-20000001-1−3i3i-1-1113i−3i−3i3i0000000000000000000000000000000
χ714-44-4-2-200-44-2-2222210004i−4i-11-12200003i3i−3i−3i-2-2000000−2i2i−2i2i-11−3i3i3-3-33ii−i−i0000000000000000000000000000000
χ724-44-4-2-200-44-2-2222210004i−4i-11-1220000−3i−3i3i3i-2-2000000−2i2i−2i2i-113i−3i-333-3ii−i−i0000000000000000000000000000000
χ734-44-4-2-200-44-2-222221000−4i4i-11-12200003i3i−3i−3i-2-20000002i−2i2i−2i-11−3i3i-333-3−i−iii0000000000000000000000000000000
χ744-44-4-2-200-44-2-222221000−4i4i-11-1220000−3i−3i3i3i-2-20000002i−2i2i−2i-113i−3i3-3-33−i−iii0000000000000000000000000000000
χ754-4-44444i−4i00-4-4-4-444400000-4-44004i−4i4i−4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000
χ764-4-4444−4i4i00-4-4-4-444400000-4-4400−4i4i−4i4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000
χ774-4-444-24i−4i00-42-424-2-20000022-2004i−4i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000006−6i6−i6000000000
χ784-4-444-24i−4i00-42-424-2-20000022-2004i−4i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000−66−i6i6000000000
χ794-4-444-2−4i4i00-42-424-2-20000022-200−4i4i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000006−6−i6i6000000000
χ804-4-444-2−4i4i00-42-424-2-20000022-200−4i4i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000−66i6−i6000000000
χ814-4-44-244i−4i002-42-4-24-20000022-200−2i2i4i−4i−2i2i−2i2i00000000000000000000000000000000000000i6−i66−60000000000000
χ824-4-44-244i−4i002-42-4-24-20000022-200−2i2i4i−4i−2i2i−2i2i00000000000000000000000000000000000000−i6i6−660000000000000
χ834-4-44-24−4i4i002-42-4-24-20000022-2002i−2i−4i4i2i−2i2i−2i00000000000000000000000000000000000000i6−i6−660000000000000
χ844-4-44-24−4i4i002-42-4-24-20000022-2002i−2i−4i4i2i−2i2i−2i00000000000000000000000000000000000000−i6i66−60000000000000
χ8588-8-88-40000-848-4-84-400000-44400000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4800004-8-484-8-400000-44400000000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-4000044-4-4442000002-2-20000006-6-660000000000000000000000000000000000000000000000000000000
χ8888-8-8-4-4000044-4-4442000002-2-2000000-666-60000000000000000000000000000000000000000000000000000000
χ898-8-88-4-48i−8i004444-4-4200000-2-2200−4i4i−4i4i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000
χ908-8-88-4-4−8i8i004444-4-4200000-2-22004i−4i4i−4i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000

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