Finite Group Databasebeta

← Group #11865813

Character table — Group #11865813

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444666688888888888888899991212121212121212121212121212161616161616181824242424242424242424242436363636484872
order122233446666663446668812121212444441212121212122424242424242424444444444488881212121212121212121222241212121212122424242422886122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-1111-1-1-111-1-111-1-1111111-1-11-1111-1-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1111-1-111-1-111111111-1-1-11-1-1-1111-1-111-1-1-1-1-11-1
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
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-111-1-1-1-1-11111-1-1-1-1-111-1-111-111
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-111-1-1-1-11-1-1-1-111111-1-1-1-1111-11
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-111-1
χ9111111111111111-1-11111111111111-1-1-1-1-1111111111111111-1-11-1-111111111-1-1-1-1-1-111-1-11-1-11-1-11111-1-111-1-1-1
χ10111111111111111-1-111111111111-1-1-1-1-1-1-11111111111-1-1-1-11-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-111
χ11111111111111111-1-1111111111-1-111-1-1-1-1-11111111111-1-1-1-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-11-11
χ12111111111111111-1-1111111111-1-1-1-1-1-1-1-1-111111111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-1-1-11111-1
χ13111111111111111-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1111111-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111-1-1111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-111-1-111-1-11-11-1-1-111-1-11111111-1-1
χ15111111111111111-1-1111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-11111-1-111-1-1-11-1111-1-111-1-11111-11-1
χ16111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-111-1111111-1-1-1-111-1-11111-1-1-111-1111111-1-1-1-1-1-11
χ17222222-2-222222220022200-2-2-2-2222200000-2-2000000002222-200-20000002222000000-2-200-200-20000000000000
χ18222222-2-222222220022200-2-2-2-222-2-200000-2-200000000-2-2-2-2-200200000022-2-20000002200-20020000000000000
χ19222222-2-222222220022200-2-2-2-2-2-22200000-2-200000000-2-2-2-2200-2000000-2-2220000002200200-20000000000000
χ20222222-2-222222220022200-2-2-2-2-2-2-2-200000-2-20000000022222002000000-2-2-2-2000000-2-20020020000000000000
χ2122222-1222-1-12-12-122-1-1-122-12-1222002-1-122-1-122-1-1-1-1-1-100002220002200-1-100-12-1-1-1-10020-1-1-1000-1-1000000-100
χ2222222-1222-1-12-12-122-1-1-122-12-12-2-2002-1-122-1-122-1-1-1-1-1-10000-2-2-2000-2-2001100-12-1-1-1-100-2011100011000000100
χ2322222-1222-1-12-12-122-1-1-1-2-2-12-122200-2-1-122-1-1-2-21111110000222000-2-200-1-1001-2-1-11100-20-1-1-100011000000100
χ2422222-1222-1-12-12-122-1-1-1-2-2-12-12-2-200-2-1-122-1-1-2-21111110000-2-2-2000220011001-2-1-1110020111000-1-1000000-100
χ2522222-1222-1-12-12-1-2-2-1-1-122-12-122200-211-2-2-1-122-1-1-1-1-1-100002-2-20002200-1-1001-2111100-20-111000-1-1000000100
χ2622222-1222-1-12-12-1-2-2-1-1-122-12-12-2-200-211-2-2-1-122-1-1-1-1-1-10000-222000-2-20011001-2111100201-1-100011000000-100
χ2722222-1222-1-12-12-1-2-2-1-1-1-2-2-12-122200211-2-2-1-1-2-211111100002-2-2000-2-200-1-100-1211-1-10020-11100011000000-100
χ2822222-1222-1-12-12-1-2-2-1-1-1-2-2-12-12-2-200211-2-2-1-1-2-21111110000-22200022001100-1211-1-100-201-1-1000-1-1000000100
χ292222-1222-122-12-1-122-1-1-1222-12-10022222-1-1-1-1-1-122-1-1-1-10000000222002200-1-12-1-1-1-1-10002000-1-1-100-1-100000-10
χ302222-1222-122-12-1-122-1-1-1222-12-100-2-2222-1-1-1-1-1-122-1-1-1-10000000-2-2-200-2-200112-1-1-1-1-1000-200011100110000010
χ312222-1222-122-12-1-122-1-1-1-2-22-12-10022-222-1-1-1-111-2-21111000000022200-2-200-1-1-21-1-111000-2000-1-1-100110000010
χ322222-1222-122-12-1-122-1-1-1-2-22-12-100-2-2-222-1-1-1-111-2-211110000000-2-2-200220011-21-1-111000200011100-1-100000-10
χ332222-1222-122-12-1-1-2-2-1-1-1222-12-10022-2-2-211-1-1-1-122-1-1-1-100000002-2-2002200-1-1-211111000-2000-11100-1-10000010
χ342222-1222-122-12-1-1-2-2-1-1-1222-12-100-2-2-2-2-211-1-1-1-122-1-1-1-10000000-22200-2-20011-21111100020001-1-1001100000-10
χ352222-1222-122-12-1-1-2-2-1-1-1-2-22-12-100222-2-211-1-111-2-2111100000002-2-200-2-200-1-12-111-1-10002000-111001100000-10
χ362222-1222-122-12-1-1-2-2-1-1-1-2-22-12-100-2-22-2-211-1-111-2-211110000000-222002200112-111-1-1000-20001-1-100-1-10000010
χ3722-2-222002-2-2-22-22002-2-22−200002i−2i2-200000002−22−222−2−22i2i−2i−2i000000i2−i22−22i−2i2-20000000000000000i2−i22−200i2−i2000
χ3822-2-222002-2-2-22-22002-2-22−200002i−2i-2200000002−22−222−2−2−2i−2i2i2i000000i2−i2−222i−2i-220000000000000000i2−i2−2200−i2i2000
χ3922-2-222002-2-2-22-22002-2-22−20000−2i2i2-200000002−22−222−2−2−2i−2i2i2i000000−i2i22−2−2i2i2-20000000000000000−i2i22−200−i2i2000
χ4022-2-222002-2-2-22-22002-2-22−20000−2i2i-2200000002−22−222−2−22i2i−2i−2i000000−i2i2−22−2i2i-220000000000000000−i2i2−2200i2−i2000
χ4122-2-222002-2-2-22-22002-2-2−2200002i−2i2-20000000−22−22−2−2222i2i−2i−2i000000−i2i2−222i−2i2-20000000000000000−i2i2−2200−i2i2000
χ4222-2-222002-2-2-22-22002-2-2−2200002i−2i-220000000−22−22−2−222−2i−2i2i2i000000−i2i22−22i−2i-220000000000000000−i2i22−200i2−i2000
χ4322-2-222002-2-2-22-22002-2-2−220000−2i2i2-20000000−22−22−2−222−2i−2i2i2i000000i2−i2−22−2i2i2-20000000000000000i2−i2−2200i2−i2000
χ4422-2-222002-2-2-22-22002-2-2−220000−2i2i-220000000−22−22−2−2222i2i−2i−2i000000i2−i22−2−2i2i-220000000000000000i2−i22−200−i2i2000
χ452-2-22222-2-2-22-2-22200-2-220022-2-20000000002-2000000002-22-202i−2i02i−2i000000000000002-20002i−2i02i−2i00000000000
χ462-2-22222-2-2-22-2-22200-2-220022-2-20000000002-2000000002-22-20−2i2i0−2i2i000000000000002-2000−2i2i0−2i2i00000000000
χ472-2-22222-2-2-22-2-22200-2-220022-2-20000000002-200000000-22-2202i−2i0−2i2i00000000000000-220002i−2i0−2i2i00000000000
χ482-2-22222-2-2-22-2-22200-2-220022-2-20000000002-200000000-22-220−2i2i02i−2i00000000000000-22000−2i2i02i−2i00000000000
χ492-2-2222-22-2-22-2-2222-2-2-2200-2-222000002-22-2-22000000002-22-200000000000000002-200-220000000000002-200000
χ502-2-2222-22-2-22-2-2222-2-2-2200-2-222000002-22-2-2200000000-22-2200000000000000002-2002-2000000000000-2200000
χ512-2-2222-22-2-22-2-222-22-2-2200-2-22200000-22-22-22000000002-22-20000000000000000-2200-22000000000000-2200000
χ522-2-2222-22-2-22-2-222-22-2-2200-2-22200000-22-22-2200000000-22-220000000000000000-22002-20000000000002-200000
χ5344444-2-4-44-2-24-24-200-2-2-2002-42-444000000022000000000000-4000000000-2-200000000000020000000000000000
χ5444444-2-4-44-2-24-24-200-2-2-2002-42-4-4-4000000022000000000000400000000022000000000000-20000000000000000
χ554444-24-4-4-244-24-2-200-2-2-200-42-4200440000022000000000000000-400000000-2-2000000000000020000000000000
χ564444-24-4-4-244-24-2-200-2-2-200-42-4200-4-40000022000000000000000400000000220000000000000-20000000000000
χ574444-2-244-2-2-2-2-2-214411144-2-2-2-200004-2-2-2-211-2-2-2-21111000000000000000000-2-21111000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-20000-4-2-2-2-2112222-1-1-1-10000000000000000002211-1-1000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-411144-2-2-2-20000-4222211-2-2-2-2111100000000000000000022-1-1-1-1000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2000042222112222-1-1-1-1000000000000000000-2-2-1-111000000000000000000000
χ6144-4-44-200422-4-2-4-200-22222−2200004i−4i00000000022−22−22−2−22200000000002i2−2i200−2i2i000000000000000000−i2i2000000000
χ6244-4-44-200422-4-2-4-200-22222−220000−4i4i00000000022−22−22−2−2220000000000−2i22i2002i−2i000000000000000000i2−i2000000000
χ6344-4-44-200422-4-2-4-200-222−222200004i−4i000000000−22222−222−2−20000000000−2i22i200−2i2i000000000000000000i2−i2000000000
χ6444-4-44-200422-4-2-4-200-222−22220000−4i4i000000000−22222−222−2−200000000002i2−2i2002i−2i000000000000000000−i2i2000000000
χ6544-4-4-2400-2-4-4242-200-22222−220000004-40000000−2222−22−2−22200000000000022−2200-22000000000000000000−220000000
χ6644-4-4-2400-2-4-4242-200-22222−22000000-440000000−2222−22−2−222000000000000−2222002-20000000000000000002−20000000
χ6744-4-4-2400-2-4-4242-200-222−22220000004-400000002−2−222222−2−2000000000000−222200-220000000000000000002−20000000
χ6844-4-4-2400-2-4-4242-200-222−2222000000-4400000002−2−222222−2−200000000000022−22002-2000000000000000000−220000000
χ694-44-44400-44-44-4-4400-44-400000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000
χ704-44-44400-44-44-4-4400-44-40000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ714-4-444-24-4-42-2-424-20022-200-242-4000000000-2200000000000004i−4i0000000000000000000000−2i2i00000000000000
χ724-4-444-24-4-42-2-424-20022-200-242-4000000000-220000000000000−4i4i00000000000000000000002i−2i00000000000000
χ734-4-444-2-44-42-2-424-24-422-2002-4-2400000-224-42-20000000000000000000000000000-2200000000000000000000000
χ744-4-444-2-44-42-2-424-2-4422-2002-4-24000002-2-442-200000000000000000000000000002-200000000000000000000000
χ754-4-44-244-42-442-4-2-20022-2004-2-42000000000-2200000000000000004i−4i0000000000000000000000−2i2i00000000000
χ764-4-44-244-42-442-4-2-20022-2004-2-42000000000-220000000000000000−4i4i00000000000000000000002i−2i00000000000
χ774-4-44-24-442-442-4-2-24-422-200-424-2000004-4-222-20000000000000000000000000000-2200000000000000000000000
χ784-4-44-24-442-442-4-2-2-4422-200-424-200000-442-22-200000000000000000000000000002-200000000000000000000000
χ794-4-44-2-2-4422-222-214-4-1-110022-2-200000-22-22-1100003-33-3000000000000000000001-13-3000000000000000000000
χ804-4-44-2-2-4422-222-214-4-1-110022-2-200000-22-22-110000-33-33000000000000000000001-1-33000000000000000000000
χ814-4-44-2-2-4422-222-21-44-1-110022-2-2000002-22-2-1100003-33-300000000000000000000-11-33000000000000000000000
χ824-4-44-2-2-4422-222-21-44-1-110022-2-2000002-22-2-110000-33-3300000000000000000000-113-3000000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-4200222004444000000000-2-200000000000000000000000000000000000000000000000000000
χ8488-8-8-4-400-4444-442002-2-242−42000000000000000−2222−222222−2−2000000000000000000000000000000000000000000000
χ8588-8-8-4-400-4444-442002-2-2−424200000000000000022−2222−22−2−222000000000000000000000000000000000000000000000
χ868-88-88-400-8-4484-8-4004-440000000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-480048-8-4-84-4004-440000000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-4-4004-44-444200-22-200000000000000000000032−32−3232000000000000000000000000000000000000000000000
χ898-88-8-4-4004-44-444200-22-2000000000000000000000−323232−32000000000000000000000000000000000000000000000
χ908-8-88-4-48-844-444-4200-2-2200-4-4440000000002-200000000000000000000000000000000000000000000000000000

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