Finite Group Databasebeta

← Group #11866331

Character table — Group #11866331

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order12223344666666344666121212121212224422666612121212121212121244444466881212666666246681212121212121212242424244444888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-11-1-111-1-1111111111111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-11111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-1111111111111111-111-111-1-111-1-1111111-1-1-1-11-1-11111-1-11111-1-1-1-1-1-1-1
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
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1
χ9111111111111111-1-1111-1-1111111111-111-1-1-1-1-111-1-1-1-1-111-1-1-11111111-111-1-1-11-1-1-1-1-111-1-11111-1-111-1-111-1
χ10111111111111111-1-1111-1-1111111111-111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-111-1-1-11-1-11-1-1-1-11111-1-111-1-111-1-11
χ11111111111111111-1-1111-1-111111111-11-1-111-1-1-111-1-1-1-1-111-1-1-111-1-111-11-1-1111-1111-1-111-1-1-1-1-1-11111-1-1-1-11
χ12111111111111111-1-1111-1-111111111-11-1-111-1-1-111-1-1-1-1-1-1-1-111111111-11-1-1111-111-1-1-1-1-111-1-111-1-1-1-11111-1
χ13111111111111111-1-1111-1-11111-1-1-1-11-111-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11-111-1-11-111-11111-1-1-1-111-1-1-1-111-1-11
χ14111111111111111-1-1111-1-11111-1-1-1-11-111-1-1-1-1-111-1-1-1-11-1-1111-1-1-1-1-1-11-111-1-11-111111-1-111-1-1-1-11111-1-111-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-11-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-11-1-111111-1-111-1-111-1-11111-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-11-1-111-1-1-111-1-1-1-11-1-1111-1-111-1-1-11-1-111-11-1-1-111-1-1111111-1-111-1-1-1-11
χ17222222-2-222222222-2222-2-2-2-2-2-222-2-20000002-22-2-222-2-2-2002002200-2-2000000000002-200000000000000000
χ18222222-2-222222222-2222-2-2-2-2-2-2-2-2220000002-22-2-222-2-2200-200-2-2002200000000000-2200000000000000000
χ19222222-2-22222222-2222222-2-2-2-222-2-2000000-22-2-2-2-2-222200-2002200-2-200000000000-2200000000000000000
χ20222222-2-22222222-2222222-2-2-2-2-2-222000000-22-2-2-2-2-222-200200-2-20022000000000002-200000000000000000
χ2122222-1222-1-122-1-122-1-1-1222-1-12222222-1-1-1-1-1-12-1-1-1-1-1-1200200-1-100-1-122-1-1-1-122-1-10-1-10000-1-100000000000
χ2222222-1222-1-122-1-122-1-1-1222-1-122222-2-21111-1-12-1-1-1-1-1-1200200-1-100-1-1-2-21111-2-2110-1-100001100000000000
χ2322222-1222-1-122-1-122-1-1-1222-1-12-2-2-2-222-1-1-1-1-1-12-1-1-1-1-1-1-200-20011001122-1-1-1-1-2-21101100001100000000000
χ2422222-1222-1-122-1-122-1-1-1222-1-12-2-2-2-2-2-21111-1-12-1-1-1-1-1-1-200-200110011-2-2111122-1-10110000-1-100000000000
χ2522222-1222-1-122-1-1-2-2-1-1-1-2-22-1-1222222-2-1-11111-2-1-11111-200-200-1-100-1-12-2-1-111-22110110000-1-100000000000
χ2622222-1222-1-122-1-1-2-2-1-1-1-2-22-1-122222-2211-1-111-2-1-11111-200-200-1-100-1-1-2211-1-12-2-1-101100001100000000000
χ2722222-1222-1-122-1-1-2-2-1-1-1-2-22-1-12-2-2-2-22-2-1-11111-2-1-111112002001100112-2-1-1112-2-1-10-1-100001100000000000
χ2822222-1222-1-122-1-1-2-2-1-1-1-2-22-1-12-2-2-2-2-2211-1-111-2-1-11111200200110011-2211-1-1-22110-1-10000-1-100000000000
χ2922222-1-2-22-1-122-1-12-2-1-1-1-2-2-211-222-2-200−i3i3−i3i3-11211-1-111-200200-1-1001100−i3i3−i3i300−i3i30-110000−i3i300000000000
χ3022222-1-2-22-1-122-1-12-2-1-1-1-2-2-211-222-2-200i3−i3i3−i3-11211-1-111-200200-1-1001100i3−i3i3−i300i3−i30-110000i3−i300000000000
χ3122222-1-2-22-1-122-1-12-2-1-1-1-2-2-211-2-2-22200−i3i3−i3i3-11211-1-111200-2001100-1-100−i3i3−i3i300i3−i301-10000i3−i300000000000
χ3222222-1-2-22-1-122-1-12-2-1-1-1-2-2-211-2-2-22200i3−i3i3−i3-11211-1-111200-2001100-1-100i3−i3i3−i300−i3i301-10000−i3i300000000000
χ3322222-1-2-22-1-122-1-1-22-1-1-122-211-222-2-200−i3i3i3−i31-1-21111-1-1200-200-1-1001100−i3i3i3−i300i3−i301-10000−i3i300000000000
χ3422222-1-2-22-1-122-1-1-22-1-1-122-211-222-2-200i3−i3−i3i31-1-21111-1-1200-200-1-1001100i3−i3−i3i300−i3i301-10000i3−i300000000000
χ3522222-1-2-22-1-122-1-1-22-1-1-122-211-2-2-22200−i3i3i3−i31-1-21111-1-1-2002001100-1-100−i3i3i3−i300−i3i30-110000i3−i300000000000
χ3622222-1-2-22-1-122-1-1-22-1-1-122-211-2-2-22200i3−i3−i3i31-1-21111-1-1-2002001100-1-100i3−i3−i3i300i3−i30-110000−i3i300000000000
χ372222-1222-122-1-12-122-1-1-1-1-1-122-1000022222222-1-1-1-1-1-1-1022022002200-1-1-1-1-1-10000200-1-1-1-100-1-1-1-10000000
χ382222-1222-122-1-12-122-1-1-1-1-1-122-1000022222222-1-1-1-1-1-1-10-2-20-2-200-2-200-1-1-1-1-1-10000-20011110011110000000
χ392222-1222-122-1-12-122-1-1-1-1-1-122-10000-2-2-2-2-2-222-1-1-1-1-1-1-102202200-2-2001111110000-200-1-1-1-10011110000000
χ402222-1222-122-1-12-122-1-1-1-1-1-122-10000-2-2-2-2-2-222-1-1-1-1-1-1-10-2-20-2-20022001111110000200111100-1-1-1-10000000
χ412222-1222-122-1-12-1-2-2-1-1-111-122-100002-222-2-2-2-21-1-111110220-2-2002200-11-1-1110000-200-1-11100-1-1110000000
χ422222-1222-122-1-12-1-2-2-1-1-111-122-100002-222-2-2-2-21-1-111110-2-202200-2-200-11-1-111000020011-1-10011-1-10000000
χ432222-1222-122-1-12-1-2-2-1-1-111-122-10000-22-2-222-2-21-1-111110220-2-200-2-2001-111-1-10000200-1-1110011-1-10000000
χ442222-1222-122-1-12-1-2-2-1-1-111-122-10000-22-2-222-2-21-1-111110-2-20220022001-111-1-10000-20011-1-100-1-1110000000
χ452-2-22222-2-2-2-22-222002-2-20022-2-22-22-20000000002-2000002i−2i0002-2002-200000000000002i−2i000000002i−2i00000
χ462-2-22222-2-2-2-22-222002-2-20022-2-22-22-20000000002-200000−2i2i0002-2002-20000000000000−2i2i00000000−2i2i00000
χ472-2-22222-2-2-2-22-222002-2-20022-2-2-22-220000000002-2000002i−2i000-2200-2200000000000002i−2i00000000−2i2i00000
χ482-2-22222-2-2-2-22-222002-2-20022-2-2-22-220000000002-200000−2i2i000-2200-220000000000000−2i2i000000002i−2i00000
χ492-2-2222-22-2-2-22-222002-2-200-2-2222-2-22000000000-22000000002-22-200-220000000000000002-2000000002-2000
χ502-2-2222-22-2-2-22-222002-2-200-2-2222-2-22000000000-2200000000-222-200-22000000000000000-2200000000-22000
χ512-2-2222-22-2-2-22-222002-2-200-2-222-222-2000000000-22000000002-2-22002-20000000000000002-200000000-22000
χ522-2-2222-22-2-2-22-222002-2-200-2-222-222-2000000000-2200000000-22-22002-2000000000000000-22000000002-2000
χ534444-24-4-4-244-2-24-24-4-2-2-2222-4-4200000000004-4-222-2-222000000000000000000000000000000000000000000
χ544444-24-4-4-244-2-24-2-44-2-2-2-2-22-4-420000000000-4422222-2-2000000000000000000000000000000000000000000
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
χ574444-2-244-2-2-2-2-2-21-4-411122-2-2-2-200004-4-2-22222211-1-1-1-1000000000000-2211-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-21-4-411122-2-2-2-20000-4422-2-222211-1-1-1-10000000000002-2-1-111000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-214-4111222222000000−2i32i3−2i32i3-22-2-1-111-1-100000000000000i3−i3i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-214-41112222220000002i3−2i32i3−2i3-22-2-1-111-1-100000000000000−i3i3−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-21-44111-2-22222000000−2i32i32i3−2i32-22-1-1-1-11100000000000000i3−i3−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-21-44111-2-222220000002i3−2i3−2i32i32-22-1-1-1-11100000000000000−i3i3i3−i3000000000000000000000000
χ6344-4-44400-44-4-44-4400-44-40000000000000000000000000000000000000000000000000000000000000000−2i22i20
χ6444-4-44400-44-4-44-4400-44-400000000000000000000000000000000000000000000000000000000000000002i2−2i20
χ654-44-444004-44-4-4-4400-4-44000000000000000000000000000000000−2i22i2000000000000000000000−2i22i2000000000
χ664-44-444004-44-4-4-4400-4-440000000000000000000000000000000002i2−2i20000000000000000000002i2−2i2000000000
χ674-44-4-2400-2-4422-4-20022-2−2i32i3000000000000000000000−2i32i300000000−2i22i2000000000000000000000i2−i26−60000000
χ684-44-4-2400-2-4422-4-20022-2−2i32i3000000000000000000000−2i32i3000000002i2−2i2000000000000000000000−i2i2−660000000
χ694-44-4-2400-2-4422-4-20022-22i3−2i30000000000000000000002i3−2i300000000−2i22i2000000000000000000000i2−i2−660000000
χ704-44-4-2400-2-4422-4-20022-22i3−2i30000000000000000000002i3−2i3000000002i2−2i2000000000000000000000−i2i26−60000000
χ714-4-444-24-4-4224-4-2-200-222004-22-44-44-4000000000-220000000000-2200-22000000000000000000000000000000
χ724-4-444-24-4-4224-4-2-200-222004-22-4-44-44000000000-2200000000002-2002-2000000000000000000000000000000
χ734-4-444-2-44-4224-4-2-200-22200-42-244-4-440000000002-20000000000-22002-2000000000000000000000000000000
χ744-4-444-2-44-4224-4-2-200-22200-42-24-444-40000000002-200000000002-200-22000000000000000000000000000000
χ754-4-44-244-42-4-4-224-200-22200-24-420000000000000-22000004i−4i0000000000000000000000−2i2i000000000000000
χ764-4-44-244-42-4-4-224-200-22200-24-420000000000000-2200000−4i4i00000000000000000000002i−2i000000000000000
χ774-4-44-24-442-4-4-224-200-222002-44-200000000000002-2000000004-4000000000000000000000-220000000000000
χ784-4-44-24-442-4-4-224-200-222002-44-200000000000002-200000000-440000000000000000000002-20000000000000
χ7988-8-88-400-8-44-884-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-480048-84-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-4004-444-44200-22-20000000000000000000006-600000000000000000000000000000000000000000000
χ8288-8-8-4-4004-444-44200-22-2000000000000000000000-6600000000000000000000000000000000000000000000
χ838-88-88-40084-4-8-84-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-400-44-4444200-2-22−4i34i30000000000000000000002i3−2i3000000000000000000000000000000000000000000
χ858-88-8-4-400-44-4444200-2-224i3−4i3000000000000000000000−2i32i3000000000000000000000000000000000000000000
χ868-8-88-4-48-8444-44-42002-2-200-4-44400000000000002-20000000000000000000000000000000000000000000000
χ878-8-88-4-4-88444-44-42002-2-20044-4-40000000000000-220000000000000000000000000000000000000000000000

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