Finite Group Databasebeta

← Group #11870607

Character table — Group #11870607

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444666688888888888888899991212121212121212121212121212161616161616181824242424242424242424242436363636484872
order122233446666662236668812121212444446666121224242424242424244444244444888812121212661212121244446121212121224242424448812122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-1111-1-1-1-1-111-1-111111111-1-11-11-1-1-11111-1-1-1-1-1-1-11-1
χ311111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-111111-1-111-1-1111111-1-1-11-1111-1-1-1-111-1-1-1-11-1-1
χ411111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-111-1-111-1-1111-11
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1-1-1-11-1-1111-1-111-1-1-1-111-111
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1
χ911111111111111-1-111111111111111-1-1-1-1-1111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1
χ1011111111111111-1-1111111111111-1-1-1-1-1-1-11111111111-1-1-1-11-1-111-1-1-111-1-111-1-1-1-1-1-1-1-1-111-111-1-111-1-111-1-11-11
χ1111111111111111-1-11111111111-1-111-1-1-1-1-11111111111-1-1-1-1-111-1-1111-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-11111-1-1-111
χ1211111111111111-1-11111111111-1-1-1-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1
χ1311111111111111-1-11111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111
χ1411111111111111-1-11111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-111-1-1-1-111-1-11111-1-11-11-111-1-1-1-1111111-11-1
χ1511111111111111-1-11111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-11111-1-1-11-11-1-11111-1-111111-1-1
χ1611111111111111-1-11111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-11111-11111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-11
χ17222222-2-222222200222200-2-2-2-2222200000-2-2000000002222-20000-200002222000000-2-200-2-2000000000000000
χ18222222-2-222222200222200-2-2-2-222-2-200000-2-200000000-2-2-2-2-2000020000-2-2220000002200-22000000000000000
χ19222222-2-222222200222200-2-2-2-2-2-22200000-2-200000000-2-2-2-220000-2000022-2-200000022002-2000000000000000
χ20222222-2-222222200222200-2-2-2-2-2-2-2-200000-2-20000000022222000020000-2-2-2-2000000-2-20022000000000000000
χ2122222-122-12-122-122-1-1-1-1222-1-122200222-1-1-1-1-1-122-1-1-1-10000222000002200-1-1-1-1-12-1-10020-1000-1-1-1-10000000-10
χ2222222-122-12-122-122-1-1-1-1222-1-12-2-200222-1-1-1-1-1-122-1-1-1-10000-2-2-200000-2-20011-1-1-12-1-100-2010001111000000010
χ2322222-122-12-122-122-1-1-1-1-2-22-1-122200-222-1-1-1-111-2-21111000022200000-2-200-1-1-1-11-21100-20-1000-1-111000000010
χ2422222-122-12-122-122-1-1-1-1-2-22-1-12-2-200-222-1-1-1-111-2-211110000-2-2-200000220011-1-11-2110020100011-1-10000000-10
χ2522222-122-12-122-1-2-2-1-1-1-1222-1-122200-2-2-211-1-1-1-122-1-1-1-100002-2-2000002200-1-1111-21100-20-100011-1-1000000010
χ2622222-122-12-122-1-2-2-1-1-1-1222-1-12-2-200-2-2-211-1-1-1-122-1-1-1-10000-22200000-2-20011111-21100201000-1-1110000000-10
χ2722222-122-12-122-1-2-2-1-1-1-1-2-22-1-1222002-2-211-1-111-2-2111100002-2-200000-2-200-1-111-12-1-10020-100011110000000-10
χ2822222-122-12-122-1-2-2-1-1-1-1-2-22-1-12-2-2002-2-211-1-111-2-211110000-2220000022001111-12-1-100-201000-1-1-1-1000000010
χ292222-12222-12-1-1222-1-1-1-122-122-100222-1-122-1-122-1-1-1-1-1-100000002222200-1-100-1-12-1-1-100020-1-1-10000-1-10000-100
χ302222-12222-12-1-1222-1-1-1-122-122-100-2-22-1-122-1-122-1-1-1-1-1-10000000-2-2-2-2-2001100-1-12-1-1-1000-201110000110000100
χ312222-12222-12-1-1222-1-1-1-1-2-2-122-10022-2-1-122-1-1-2-21111110000000222-2-200-1-100-1-1-2111000-20-1-1-10000110000100
χ322222-12222-12-1-1222-1-1-1-1-2-2-122-100-2-2-2-1-122-1-1-2-21111110000000-2-2-222001100-1-1-2111000201110000-1-10000-100
χ332222-12222-12-1-12-2-2-1-1-1-122-122-10022-211-2-2-1-122-1-1-1-1-1-10000000-2-222200-1-10011-2111000-20-1110000-1-10000100
χ342222-12222-12-1-12-2-2-1-1-1-122-122-100-2-2-211-2-2-1-122-1-1-1-1-1-1000000022-2-2-200110011-2111000201-1-10000110000-100
χ352222-12222-12-1-12-2-2-1-1-1-1-2-2-122-10022211-2-2-1-1-2-21111110000000-2-22-2-200-1-100112-1-1-100020-1110000110000-100
χ362222-12222-12-1-12-2-2-1-1-1-1-2-2-122-100-2-2211-2-2-1-1-2-2111111000000022-222001100112-1-1-1000-201-1-10000-1-10000100
χ3722-2-2222-2-22-2-2-22002-22-200-22-22000000000-22000000002i2i−2i−2i02-22i−2i0000000000000002i−2i00002i−2i2-200000000000
χ3822-2-2222-2-22-2-2-22002-22-200-22-22000000000-22000000002i2i−2i−2i0-22−2i2i0000000000000002i−2i0000−2i2i-2200000000000
χ3922-2-2222-2-22-2-2-22002-22-200-22-22000000000-2200000000−2i−2i2i2i02-2−2i2i000000000000000−2i2i0000−2i2i2-200000000000
χ4022-2-2222-2-22-2-2-22002-22-200-22-22000000000-2200000000−2i−2i2i2i0-222i−2i000000000000000−2i2i00002i−2i-2200000000000
χ4122-2-222-22-22-2-2-222-22-22-2002-22-2000002-22-22-2000000002i2i−2i−2i000000000000002-20000−2i2i0000000000002i−2i00000
χ4222-2-222-22-22-2-2-222-22-22-2002-22-2000002-22-22-200000000−2i−2i2i2i000000000000002-200002i−2i000000000000−2i2i00000
χ4322-2-222-22-22-2-2-22-222-22-2002-22-200000-22-222-2000000002i2i−2i−2i00000000000000-220000−2i2i000000000000−2i2i00000
χ4422-2-222-22-22-2-2-22-222-22-2002-22-200000-22-222-200000000−2i−2i2i2i00000000000000-2200002i−2i0000000000002i−2i00000
χ452-2-222200-2-222-2-2002-2-222−200002i−2i2i−2i00000002−22−222−2−22-22-2000000i2−i2i2−i22i−2i2i−2i0000000000000000i2−i2i2−i2002−2000
χ462-2-222200-2-222-2-2002-2-222−200002i−2i−2i2i00000002−22−222−2−2-22-22000000−i2i2i2−i2−2i2i2i−2i0000000000000000i2−i2−i2i200−22000
χ472-2-222200-2-222-2-2002-2-222−20000−2i2i2i−2i00000002−22−222−2−2-22-22000000i2−i2−i2i22i−2i−2i2i0000000000000000−i2i2i2−i200−22000
χ482-2-222200-2-222-2-2002-2-222−20000−2i2i−2i2i00000002−22−222−2−22-22-2000000−i2i2−i2i2−2i2i−2i2i0000000000000000−i2i2−i2i2002−2000
χ492-2-222200-2-222-2-2002-2-22−2200002i−2i2i−2i0000000−22−22−2−2222-22-2000000−i2i2−i2i22i−2i2i−2i0000000000000000−i2i2−i2i200−22000
χ502-2-222200-2-222-2-2002-2-22−2200002i−2i−2i2i0000000−22−22−2−222-22-22000000i2−i2−i2i2−2i2i2i−2i0000000000000000−i2i2i2−i2002−2000
χ512-2-222200-2-222-2-2002-2-22−220000−2i2i2i−2i0000000−22−22−2−222-22-22000000−i2i2i2−i22i−2i−2i2i0000000000000000i2−i2−i2i2002−2000
χ522-2-222200-2-222-2-2002-2-22−220000−2i2i−2i2i0000000−22−22−2−2222-22-2000000i2−i2i2−i2−2i2i−2i2i0000000000000000i2−i2i2−i200−22000
χ5344444-2-4-4-24-244-200-2-2-2-200-422-444000000022000000000000-400000000000-2-2000000000020000000000000000
χ5444444-2-4-4-24-244-200-2-2-2-200-422-4-4-4000000022000000000000400000000000220000000000-20000000000000000
χ554444-24-4-44-24-2-2400-2-2-2-2002-4-420044000002200000000000000000-40000-2-200000000000002000000000000000
χ564444-24-4-44-24-2-2400-2-2-2-2002-4-4200-4-400000220000000000000000040000220000000000000-2000000000000000
χ574444-2-244-2-2-2-2-2-244111144-2-2-2-200004-2-2-2-211-2-2-2-2111100000000000000000011-2-211000000000000000000000
χ584444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-20000-4-2-2-2-2112222-1-1-1-10000000000000000001122-1-1000000000000000000000
χ594444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-20000-4222211-2-2-2-21111000000000000000000-1-122-1-1000000000000000000000
χ604444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-2000042222112222-1-1-1-1000000000000000000-1-1-2-211000000000000000000000
χ6144-4-44-24-4242-4-4-200-22-2200-4-2240000000002-200000000000004-40000000000000000000000000-2200000000000
χ6244-4-44-24-4242-4-4-200-22-2200-4-2240000000002-20000000000000-4400000000000000000000000002-200000000000
χ6344-4-44-2-44242-4-4-24-4-22-220042-2-4000004-4-22-2200000000000000000000000000-220000000000000000000000000
χ6444-4-44-2-44242-4-4-2-44-22-220042-2-400000-442-2-22000000000000000000000000002-20000000000000000000000000
χ6544-4-4-244-4-4-2-422400-22-220024-4-20000000002-20000000000000004i−4i000000000000000000000−2i2i0000000000000
χ6644-4-4-244-4-4-2-422400-22-220024-4-20000000002-2000000000000000−4i4i0000000000000000000002i−2i0000000000000
χ6744-4-4-24-44-4-2-42244-4-22-2200-2-44200000-224-4-2200000000000000000000000000-220000000000000000000000000
χ6844-4-4-24-44-4-2-4224-44-22-2200-2-442000002-2-44-22000000000000000000000000002-20000000000000000000000000
χ6944-4-4-2-2-442-2222-24-41-11-100-22-2200000-22-221-100003i−3i3i−3i0000000000000000001-1003i−3i000000000000000000000
χ7044-4-4-2-2-442-2222-24-41-11-100-22-2200000-22-221-10000−3i3i−3i3i0000000000000000001-100−3i3i000000000000000000000
χ7144-4-4-2-2-442-2222-2-441-11-100-22-22000002-22-21-100003i−3i3i−3i000000000000000000-1100−3i3i000000000000000000000
χ7244-4-4-2-2-442-2222-2-441-11-100-22-22000002-22-21-10000−3i3i−3i3i000000000000000000-11003i−3i000000000000000000000
χ734-44-444004-4-4-44-40044-4-400000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000
χ744-44-444004-4-4-44-40044-4-40000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ754-4-444-2002-4-24-4200-222-222−2200004i−4i000000000−2222−22−2−2220000000000002i2−2i200−2i2i0000000000000000−i2i2000000000
χ764-4-444-2002-4-24-4200-222-222−220000−4i4i000000000−2222−22−2−222000000000000−2i22i2002i−2i0000000000000000i2−i2000000000
χ774-4-444-2002-4-24-4200-222-2−222200004i−4i0000000002−2−222222−2−2000000000000−2i22i200−2i2i0000000000000000i2−i2000000000
χ784-4-444-2002-4-24-4200-222-2−22220000−4i4i0000000002−2−222222−2−20000000000002i2−2i2002i−2i0000000000000000−i2i2000000000
χ794-4-44-2400-424-22-400-222-222−220000004i−4i000000022−22−22−2−22200000000002i2−2i200−2i2i00000000000000000000−i2i20000000
χ804-4-44-2400-424-22-400-222-222−22000000−4i4i000000022−22−22−2−2220000000000−2i22i2002i−2i00000000000000000000i2−i20000000
χ814-4-44-2400-424-22-400-222-2−22220000004i−4i0000000−22222−222−2−20000000000−2i22i200−2i2i00000000000000000000i2−i20000000
χ824-4-44-2400-424-22-400-222-2−2222000000−4i4i0000000−22222−222−2−200000000002i2−2i2002i−2i00000000000000000000−i2i20000000
χ838888-4-4-8-8-4-4-4-4-4-4002222004444000000000-2-200000000000000000000000000000000000000000000000000000
χ8488-8-8-4-48-84-4444-4002-22-2004-44-4000000000-2200000000000000000000000000000000000000000000000000000
χ858-88-88-400-4-84-88400-4-4440000000000000000000000000000000000000000000000000000000000000000000000
χ868-88-8-480084-84-4-800-4-4440000000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-400-4444-440022-2-20000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000000
χ888-88-8-4-400-4444-440022-2-2000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000000
χ898-8-88-4-40044-4-444002-2-2242−42000000000000000−2222−222222−2−2000000000000000000000000000000000000000000000
χ908-8-88-4-40044-4-444002-2-22−424200000000000000022−2222−22−2−222000000000000000000000000000000000000000000000

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