Finite Group Databasebeta

← Group #11866181

Character table — Group #11866181

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order122233446666663446661212121212122244226666121212121212121212224444668812126666662466668121212121212242424242244888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-11-1-1111-1-11111111111-1-111-111-1-111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1111111111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-111111111111111111-111-1-1-111-1-1111111-1-111-1-11-1-111-1-11111-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1111-1-1-1-11111111111-1-1-1
χ9111111111111111-1-11111-1-111111111-111-1-1-1-1-111-1-1-1-111-1-1-1-11111111-111-1-11-11111-1-1-1-1-1-1-111-1-111-1-111-1
χ10111111111111111-1-11111-1-111111111-111-1-1-1-1-111-1-1-1-1-1-1-111-111-1-1111-111-1-11-1-1-1111-1-111-1-1-1-111-1-111-1-11
χ11111111111111111-1-11111-1-11111111-11-1-111-1-1-111-1-1-1-111-1-1-1-111-1-111-11-1-111-1111-1-11-1-1-1-111-1-11111-1-1-1-11
χ12111111111111111-1-11111-1-11111111-11-1-111-1-1-111-1-1-1-1-1-1-111-1111111-11-1-111-11-1-1-1-1-1-1-1111111-1-1-1-11111-1
χ13111111111111111-1-11111-1-1111-1-1-1-11-111-1-1-1-1-111-1-1-1-1111-1-11-1-111-1-11-111-1-1-1111-1-1-111-1-11111-1-1-1-111-1-11
χ14111111111111111-1-11111-1-1111-1-1-1-11-111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-111-1-1-11-1-1-1-11111111-1-11111-1-111-1
χ15111111111111111-1-11111-1-1111-1-1-1-1-11-1-111-1-1-111-1-1-1-1111-1-11-1-1-1-1-1-1-11-1-1111-11111111-1-1-1-1-1-111-1-11111-1
χ16111111111111111-1-11111-1-1111-1-1-1-1-11-1-111-1-1-111-1-1-1-1-1-11111-1-111-1-1-11-1-1111-1-1-111-11111-1-111-1-111-1-1-1-11
χ17222222-2-222222222-2222-222-2-2-222-2-2000000-22-2-2-222-2-200-20022200-2-200000000000002-2000000000000000
χ18222222-2-222222222-2222-222-2-2-2-2-222000000-22-2-2-222-2-200200-2-2-200220000000000000-22000000000000000
χ19222222-2-22222222-22222-2-2-2-2-2-222-2-20000002-22-2-2-2-22200200-22200-2-20000000000000-22000000000000000
χ20222222-2-22222222-22222-2-2-2-2-2-2-2-2220000002-22-2-2-2-22200-2002-2-2002200000000000002-2000000000000000
χ2122222-12222-1-12-1-122-1-1-1222-1-12222222-1-1-1-12-1-1-1-1-1-1-1-1002002-1-100-1-122-1-1-1-12200-1-10-1-100-1-100000000000
χ2222222-12222-1-12-1-122-1-1-1222-1-122222-2-211112-1-1-1-1-1-1-1-1002002-1-100-1-1-2-21111-2-200110-1-1001100000000000
χ2322222-12222-1-12-1-122-1-1-1222-1-12-2-2-2-222-1-1-1-12-1-1-1-1-1-1-1-100-200-211001122-1-1-1-1-2-20011011001100000000000
χ2422222-12222-1-12-1-122-1-1-1222-1-12-2-2-2-2-2-211112-1-1-1-1-1-1-1-100-200-2110011-2-211112200-1-101100-1-100000000000
χ2522222-12222-1-12-1-1-2-2-1-1-12-2-2-1-1222222-2-1-111-211-1-1111100-200-2-1-100-1-12-2-1-1112-200-1-1011001100000000000
χ2622222-12222-1-12-1-1-2-2-1-1-12-2-2-1-122222-2211-1-1-211-1-1111100-200-2-1-100-1-1-2211-1-1-22001101100-1-100000000000
χ2722222-12222-1-12-1-1-2-2-1-1-12-2-2-1-12-2-2-2-22-2-1-111-211-1-111110020021100112-2-1-111-2200110-1-100-1-100000000000
χ2822222-12222-1-12-1-1-2-2-1-1-12-2-2-1-12-2-2-2-2-2211-1-1-211-1-11111002002110011-2211-1-12-200-1-10-1-1001100000000000
χ2922222-1-2-222-1-12-1-12-2-1-1-1-22211-222-2-200−i3i3−i3i3-2-1111-1-11100-2002-1-1001100−i3i3−i3i30000−i3i30-1100−i3i300000000000
χ3022222-1-2-222-1-12-1-12-2-1-1-1-22211-222-2-200i3−i3i3−i3-2-1111-1-11100-2002-1-1001100i3−i3i3−i30000i3−i30-1100i3−i300000000000
χ3122222-1-2-222-1-12-1-12-2-1-1-1-22211-2-2-22200−i3i3−i3i3-2-1111-1-11100200-21100-1-100−i3i3−i3i30000i3−i301-100i3−i300000000000
χ3222222-1-2-222-1-12-1-12-2-1-1-1-22211-2-2-22200i3−i3i3−i3-2-1111-1-11100200-21100-1-100i3−i3i3−i30000−i3i301-100−i3i300000000000
χ3322222-1-2-222-1-12-1-1-22-1-1-1-2-2-211-222-2-200−i3i3i3−i321-11111-1-100200-2-1-1001100−i3i3i3−i30000−i3i301-100i3−i300000000000
χ3422222-1-2-222-1-12-1-1-22-1-1-1-2-2-211-222-2-200i3−i3−i3i321-11111-1-100200-2-1-1001100i3−i3−i3i30000i3−i301-100−i3i300000000000
χ3522222-1-2-222-1-12-1-1-22-1-1-1-2-2-211-2-2-22200−i3i3i3−i321-11111-1-100-20021100-1-100−i3i3i3−i30000i3−i30-1100−i3i300000000000
χ3622222-1-2-222-1-12-1-1-22-1-1-1-2-2-211-2-2-22200i3−i3−i3i321-11111-1-100-20021100-1-100i3−i3−i3i30000−i3i30-1100i3−i300000000000
χ372222-1222-1-122-12-122-1-1-1-1-1-122-10000222222-122-1-1-1-1-1-1220220002200-1-1-1-1-1-100-1-100200-1-100-1-1-1-10000000
χ382222-1222-1-122-12-122-1-1-1-1-1-122-10000222222-122-1-1-1-1-1-1-2-20-2-2000-2-200-1-1-1-1-1-1001100-200110011110000000
χ392222-1222-1-122-12-122-1-1-1-1-1-122-10000-2-2-2-2-2-2-122-1-1-1-1-1-122022000-2-20011111100-1-100-200-1-10011110000000
χ402222-1222-1-122-12-122-1-1-1-1-1-122-10000-2-2-2-2-2-2-122-1-1-1-1-1-1-2-20-2-200022001111110011002001100-1-1-1-10000000
χ412222-1222-1-122-12-1-2-2-1-1-1-11122-100002-222-2-21-2-2-1-11111220-2-20002200-11-1-11100-1-100-2001100-1-1110000000
χ422222-1222-1-122-12-1-2-2-1-1-1-11122-100002-222-2-21-2-2-1-11111-2-2022000-2-200-11-1-111001100200-1-10011-1-10000000
χ432222-1222-1-122-12-1-2-2-1-1-1-11122-10000-22-2-2221-2-2-1-11111220-2-2000-2-2001-111-1-100-1-100200110011-1-10000000
χ442222-1222-1-122-12-1-2-2-1-1-1-11122-10000-22-2-2221-2-2-1-11111-2-202200022001-111-1-1001100-200-1-100-1-1110000000
χ4522-2-2222-22-2-2-2-222002-2-22002-2-22-22-20000000002-200000002i−2i02-2002-20000000000000002i−2i000000002i−2i000
χ4622-2-2222-22-2-2-2-222002-2-22002-2-22-22-20000000002-20000000−2i2i02-2002-2000000000000000−2i2i00000000−2i2i000
χ4722-2-2222-22-2-2-2-222002-2-22002-2-2-22-220000000002-200000002i−2i0-2200-220000000000000002i−2i00000000−2i2i000
χ4822-2-2222-22-2-2-2-222002-2-22002-2-2-22-220000000002-20000000−2i2i0-2200-22000000000000000−2i2i000000002i−2i000
χ4922-2-222-222-2-2-2-222002-2-2-200-2222-2-22000000000-2200002-200002-200-22000000002-200000000000002-200000
χ5022-2-222-222-2-2-2-222002-2-2-200-2222-2-22000000000-220000-2200002-200-2200000000-220000000000000-2200000
χ5122-2-222-222-2-2-2-222002-2-2-200-222-222-2000000000-2200002-20000-22002-2000000002-20000000000000-2200000
χ5222-2-222-222-2-2-2-222002-2-2-200-222-222-2000000000-220000-220000-22002-200000000-2200000000000002-200000
χ534444-24-4-4-2-244-24-24-4-2-2-22-2-2-4-42000000000024-422-2-222000000000000000000000000000000000000000000
χ544444-24-4-4-2-244-24-2-44-2-2-2222-4-420000000000-2-442222-2-2000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2000044-2-2-2-2-2-2-2111111000000000000-2-21111000000000000000000000000
χ564444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-20000-4-42222-2-2-211111100000000000022-1-1-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-21-4-4111-222-2-2-200004-4-2-22222211-1-1-1-1000000000000-2211-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-21-4-4111-222-2-2-20000-4422-2-222211-1-1-1-10000000000002-2-1-111000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-214-41112-2-2222000000−2i32i3−2i32i32-22-1-111-1-100000000000000i3−i3i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-214-41112-2-22220000002i3−2i32i3−2i32-22-1-111-1-100000000000000−i3i3−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-21-44111222222000000−2i32i32i3−2i3-22-2-1-1-1-11100000000000000i3−i3−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-21-441112222220000002i3−2i3−2i32i3-22-2-1-1-1-11100000000000000−i3i3i3−i3000000000000000000000000
χ6344-4-44-24-44-422-4-2-200-222400-22-44-44-4000000000-220000000000-2200-22000000000000000000000000000000
χ6444-4-44-24-44-422-4-2-200-222400-22-4-44-44000000000-2200000000002-2002-2000000000000000000000000000000
χ6544-4-44-2-444-422-4-2-200-222-4002-244-4-440000000002-20000000000-22002-2000000000000000000000000000000
χ6644-4-44-2-444-422-4-2-200-222-4002-24-444-40000000002-200000000002-200-22000000000000000000000000000000
χ6744-4-4-244-4-22-4-424-200-222-2004-420000000000000-2200000004i−4i0000000000000000000000−2i2i0000000000000
χ6844-4-4-244-4-22-4-424-200-222-2004-420000000000000-220000000−4i4i00000000000000000000002i−2i0000000000000
χ6944-4-4-24-44-22-4-424-200-222200-44-200000000000002-200004-4000000000000000000-2200000000000000000000
χ7044-4-4-24-44-22-4-424-200-222200-44-200000000000002-20000-440000000000000000002-200000000000000000000
χ714-44-44400-4-44-44-4400-44-400000000000000000000000000000000022−2200000000000000000000022−22000000000
χ724-44-44400-4-44-44-4400-44-4000000000000000000000000000000000−2222000000000000000000000−2222000000000
χ734-44-4-2400224-4-2-4-2002-220−2i32i3000000000000000000−2i32i3000000000022−22000000000000000000000−22i6−i60000000
χ744-44-4-2400224-4-2-4-2002-220−2i32i3000000000000000000−2i32i30000000000−22220000000000000000000002−2−i6i60000000
χ754-44-4-2400224-4-2-4-2002-2202i3−2i30000000000000000002i3−2i3000000000022−22000000000000000000000−22−i6i60000000
χ764-44-4-2400224-4-2-4-2002-2202i3−2i30000000000000000002i3−2i30000000000−22220000000000000000000002−2i6−i60000000
χ774-4-444400-44-44-4-4400-4-44000000000000000000000000000000000000000000000000000000000000000022−220
χ784-4-444400-44-44-4-4400-4-440000000000000000000000000000000000000000000000000000000000000000−22220
χ7988-8-8-4-48-8-44444-42002-2-2-400-44400000000000002-20000000000000000000000000000000000000000000000
χ8088-8-8-4-4-88-44444-42002-2-24004-4-40000000000000-220000000000000000000000000000000000000000000000
χ818-88-88-400-8-8-4484-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-40044-44-44200-22-20−4i34i30000000000000000002i3−2i300000000000000000000000000000000000000000000
χ838-88-8-4-40044-44-44200-22-204i3−4i3000000000000000000−2i32i300000000000000000000000000000000000000000000
χ848-8-888-400-884-4-84-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-48004-4-884-8-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-44-444200-2-22000000000000000000000006-6000000000000000000000000000000000000000000
χ878-8-88-4-4004-44-444200-2-2200000000000000000000000-66000000000000000000000000000000000000000000

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