Finite Group Databasebeta

← Group #11870682

Character table — Group #11870682

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444666688888888888888899991212121212121212121212121212161616161616181824242424242424242424242436363636484872
order122233446666663446668812121212444441212121212122424242424242424444422244488881212121212121212121244246661212122424242444886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-11-1-111-1-1-111-1-111111111-1-1-111-1-1-11111-1-1-1-1-1-1-11-1
χ311111111111111111111111111-1-111111111111111111-1-1-1-1-111-1-1111-1-111-1-1111111-1-11-1-1111-1-1-1-111-1-1-1-11-1-1
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
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-111-1-1-1-111-1-111-1-1-1-11-11-1-1-111-1-111-1-1111-11
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-111-1-1-1-1-11-1111-1-111-1-1-1-111-111
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-111-1
χ9111111111111111-1-11111111111111-1-1-1-1-1111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-11-1-11-1-11111-1-111-1-1-1
χ10111111111111111-1-111111111111-1-1-1-1-1-1-11111111111-1-1-1-1111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11-1111-1-1-111-1-111-1-11-11
χ11111111111111111-1-1111111111-1-111-1-1-1-1-11111111111-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-11111-1-1-111
χ12111111111111111-1-1111111111-1-1-1-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-1-1-11111-1
χ13111111111111111-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-1111111-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111-1-1111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-11111-1-111-1-1-11111-1-1-1-1-1111111-11-1
χ15111111111111111-1-1111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-111-1-11-1-1-1-111111-1-111111-1-1
χ16111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-11111-11111-1-1-1-111-1-11111-1-1-111-1111111-1-1-1-1-1-11
χ17222222-2-222222220022200-2-2-2-2222200000-2-2000000002222-20000-200002222000000-2-200-200-20000000000000
χ18222222-2-222222220022200-2-2-2-222-2-200000-2-200000000-2-2-2-2-2000020000-2-2220000002200-20020000000000000
χ19222222-2-222222220022200-2-2-2-2-2-22200000-2-200000000-2-2-2-220000-2000022-2-20000002200200-20000000000000
χ20222222-2-222222220022200-2-2-2-2-2-2-2-200000-2-20000000022222000020000-2-2-2-2000000-2-20020020000000000000
χ2122222-1222-1-1-122-122-1-1-122-122-10022222-1-1-1-122-1-1-1-1-1-100000220022200-1-100-12-1-1-1-100200-1-1-10000-1-10000-100
χ2222222-1222-1-1-122-122-1-1-122-122-100-2-2222-1-1-1-122-1-1-1-1-1-100000-2-200-2-2-2001100-12-1-1-1-100-2001110000110000100
χ2322222-1222-1-1-122-122-1-1-1-2-2-122-10022-222-1-1-1-1-2-21111110000022002-2-200-1-1001-2-1-11100-200-1-1-10000110000100
χ2422222-1222-1-1-122-122-1-1-1-2-2-122-100-2-2-222-1-1-1-1-2-211111100000-2-200-2220011001-2-1-111002001110000-1-10000-100
χ2522222-1222-1-1-122-1-2-2-1-1-122-122-10022-2-2-211-1-122-1-1-1-1-1-100000-2-20022200-1-1001-2111100-20011-10000-1-10000100
χ2622222-1222-1-1-122-1-2-2-1-1-122-122-100-2-2-2-2-211-1-122-1-1-1-1-1-1000002200-2-2-20011001-2111100200-1-110000110000-100
χ2722222-1222-1-1-122-1-2-2-1-1-1-2-2-122-100222-2-211-1-1-2-211111100000-2-2002-2-200-1-100-1211-1-10020011-10000110000-100
χ2822222-1222-1-1-122-1-2-2-1-1-1-2-2-122-100-2-22-2-211-1-1-2-2111111000002200-222001100-1211-1-100-200-1-110000-1-10000100
χ292222-1222-1222-1-1-122-1-1-1222-1-1222002-1-122-1-1-1-122-1-1-1-10000200220002200-1-12-1-1-1-1-10002-1000-1-1-1-10000000-10
χ302222-1222-1222-1-1-122-1-1-1222-1-12-2-2002-1-122-1-1-1-122-1-1-1-10000-200-2-2000-2-200112-1-1-1-1-1000-210001111000000010
χ312222-1222-1222-1-1-122-1-1-1-2-22-1-122200-2-1-122-1-111-2-21111000020022000-2-200-1-1-21-1-111000-2-1000-1-111000000010
χ322222-1222-1222-1-1-122-1-1-1-2-22-1-12-2-200-2-1-122-1-111-2-211110000-200-2-2000220011-21-1-1110002100011-1-10000000-10
χ332222-1222-1222-1-1-1-2-2-1-1-1222-1-122200-211-2-2-1-1-1-122-1-1-1-10000200-2-20002200-1-1-211111000-2-100011-1-1000000010
χ342222-1222-1222-1-1-1-2-2-1-1-1222-1-12-2-200-211-2-2-1-1-1-122-1-1-1-10000-20022000-2-20011-21111100021000-1-1110000000-10
χ352222-1222-1222-1-1-1-2-2-1-1-1-2-22-1-122200211-2-2-1-111-2-211110000200-2-2000-2-200-1-12-111-1-10002-100011110000000-10
χ362222-1222-1222-1-1-1-2-2-1-1-1-2-22-1-12-2-200211-2-2-1-111-2-211110000-200220002200112-111-1-1000-21000-1-1-1-1000000010
χ3722-2-22200-22-2-2-222002-2-22−200002i−2i2i−2i00000002−22−222−2−222-2-2000000i2−i2i2−i22i−2i2i−2i0000000000000000i2−i2i2−i2002−2000
χ3822-2-22200-22-2-2-222002-2-22−200002i−2i−2i2i00000002−22−222−2−2-2-222000000−i2i2i2−i2−2i2i2i−2i0000000000000000i2−i2−i2i200−22000
χ3922-2-22200-22-2-2-222002-2-22−20000−2i2i2i−2i00000002−22−222−2−2-2-222000000i2−i2−i2i22i−2i−2i2i0000000000000000−i2i2i2−i200−22000
χ4022-2-22200-22-2-2-222002-2-22−20000−2i2i−2i2i00000002−22−222−2−222-2-2000000−i2i2−i2i2−2i2i−2i2i0000000000000000−i2i2−i2i2002−2000
χ4122-2-22200-22-2-2-222002-2-2−2200002i−2i2i−2i0000000−22−22−2−22222-2-2000000−i2i2−i2i22i−2i2i−2i0000000000000000−i2i2−i2i200−22000
χ4222-2-22200-22-2-2-222002-2-2−2200002i−2i−2i2i0000000−22−22−2−222-2-222000000i2−i2−i2i2−2i2i2i−2i0000000000000000−i2i2i2−i2002−2000
χ4322-2-22200-22-2-2-222002-2-2−220000−2i2i2i−2i0000000−22−22−2−222-2-222000000−i2i2i2−i22i−2i−2i2i0000000000000000i2−i2−i2i2002−2000
χ4422-2-22200-22-2-2-222002-2-2−220000−2i2i−2i2i0000000−22−22−2−22222-2-2000000i2−i2i2−i2−2i2i−2i2i0000000000000000i2−i2i2−i200−22000
χ452-22-2222-2-2-22-22-2200-2-2200-22-22000000000-22000000002i−2i2i−2i02-22i−2i0000000000000002i−2i0002-202i−2i00000000000
χ462-22-2222-2-2-22-22-2200-2-2200-22-22000000000-22000000002i−2i2i−2i0-22−2i2i0000000000000002i−2i000-220−2i2i00000000000
χ472-22-2222-2-2-22-22-2200-2-2200-22-22000000000-2200000000−2i2i−2i2i02-2−2i2i000000000000000−2i2i0002-20−2i2i00000000000
χ482-22-2222-2-2-22-22-2200-2-2200-22-22000000000-2200000000−2i2i−2i2i0-222i−2i000000000000000−2i2i000-2202i−2i00000000000
χ492-22-222-22-2-22-22-222i−2i-2-22002-22-2000002i−2i2i−2i2-2000000002i−2i2i−2i00000000000000002i−2i00−2i2i0000000000002-200000
χ502-22-222-22-2-22-22-222i−2i-2-22002-22-2000002i−2i2i−2i2-200000000−2i2i−2i2i00000000000000002i−2i002i−2i000000000000-2200000
χ512-22-222-22-2-22-22-22−2i2i-2-22002-22-200000−2i2i−2i2i2-2000000002i−2i2i−2i0000000000000000−2i2i00−2i2i000000000000-2200000
χ522-22-222-22-2-22-22-22−2i2i-2-22002-22-200000−2i2i−2i2i2-200000000−2i2i−2i2i0000000000000000−2i2i002i−2i0000000000002-200000
χ5344444-2-4-44-2-2-244-200-2-2-2002-4-420044000002200000000000000000-40000-2-200000000000000020000000000000
χ5444444-2-4-44-2-2-244-200-2-2-2002-4-4200-4-40000022000000000000000004000022000000000000000-20000000000000
χ554444-24-4-4-2444-2-2-200-2-2-200-422-444000000022000000000000-400000000000-2-2000000000020000000000000000
χ564444-24-4-4-2444-2-2-200-2-2-200-422-4-4-4000000022000000000000400000000000220000000000-20000000000000000
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
χ6144-4-44-200-4-222-44-200-22222−220000004i−4i000000022−22−22−2−22200000000002i2−2i200−2i2i00000000000000000000−i2i20000000
χ6244-4-44-200-4-222-44-200-22222−22000000−4i4i000000022−22−22−2−2220000000000−2i22i2002i−2i00000000000000000000i2−i20000000
χ6344-4-44-200-4-222-44-200-222−22220000004i−4i0000000−22222−222−2−20000000000−2i22i200−2i2i00000000000000000000i2−i20000000
χ6444-4-44-200-4-222-44-200-222−2222000000−4i4i0000000−22222−222−2−200000000002i2−2i2002i−2i00000000000000000000−i2i20000000
χ6544-4-4-240024-4-42-2-200-22222−2200004i−4i000000000−2222−22−2−2220000000000002i2−2i200−2i2i0000000000000000−i2i2000000000
χ6644-4-4-240024-4-42-2-200-22222−220000−4i4i000000000−2222−22−2−222000000000000−2i22i2002i−2i0000000000000000i2−i2000000000
χ6744-4-4-240024-4-42-2-200-222−222200004i−4i0000000002−2−222222−2−2000000000000−2i22i200−2i2i0000000000000000i2−i2000000000
χ6844-4-4-240024-4-42-2-200-222−22220000−4i4i0000000002−2−222222−2−20000000000002i2−2i2002i−2i0000000000000000−i2i2000000000
χ694-44-44-24-4-42-224-4-20022-20024-4-20000000002-200000000000004-40000000000000000000000-2200000000000000
χ704-44-44-24-4-42-224-4-20022-20024-4-20000000002-20000000000000-4400000000000000000000002-200000000000000
χ714-44-44-2-44-42-224-4-24i−4i22-200-2-442000004i−4i−2i2i-220000000000000000000000000000−2i2i00000000000000000000000
χ724-44-44-2-44-42-224-4-2−4i4i22-200-2-44200000−4i4i2i−2i-2200000000000000000000000000002i−2i00000000000000000000000
χ734-44-4-244-42-44-4-22-20022-200-4-2240000000002-20000000000000004i−4i00000000000000000000000−2i2i00000000000
χ744-44-4-244-42-44-4-22-20022-200-4-2240000000002-2000000000000000−4i4i000000000000000000000002i−2i00000000000
χ754-44-4-24-442-44-4-22-24i−4i22-20042-2-400000−2i2i4i−4i-220000000000000000000000000000−2i2i00000000000000000000000
χ764-44-4-24-442-44-4-22-2−4i4i22-20042-2-4000002i−2i−4i4i-2200000000000000000000000000002i−2i00000000000000000000000
χ774-44-4-2-2-4422-22-2214i−4i-1-1100-22-2200000−2i2i−2i2i1-100003i−3i3i−3i00000000000000000000i−i3-3000000000000000000000
χ784-44-4-2-2-4422-22-2214i−4i-1-1100-22-2200000−2i2i−2i2i1-10000−3i3i−3i3i00000000000000000000i−i-33000000000000000000000
χ794-44-4-2-2-4422-22-221−4i4i-1-1100-22-22000002i−2i2i−2i1-100003i−3i3i−3i00000000000000000000−ii-33000000000000000000000
χ804-44-4-2-2-4422-22-221−4i4i-1-1100-22-22000002i−2i2i−2i1-10000−3i3i−3i3i00000000000000000000−ii3-3000000000000000000000
χ814-4-4444004-4-44-4-4400-44-400000000000000000000000004i−4i−4i4i00000000000000000000000000000000000000000
χ824-4-4444004-4-44-4-4400-44-40000000000000000000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ838888-4-4-8-8-4-4-4-4-4-4200222004444000000000-2-200000000000000000000000000000000000000000000000000000
χ8488-8-8-4-4004-4444-42002-2-242−42000000000000000−2222−222222−2−2000000000000000000000000000000000000000000000
χ8588-8-8-4-4004-4444-42002-2-2−424200000000000000022−2222−22−2−222000000000000000000000000000000000000000000000
χ868-88-8-4-48-844-44-44200-2-22004-44-4000000000-2200000000000000000000000000000000000000000000000000000
χ878-8-888-400844-4-8-8-4004-440000000000000000000000000000000000000000000000000000000000000000000000
χ888-8-88-4800-4-8-8844-4004-440000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400-444-444200-22-20000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000000
χ908-8-88-4-400-444-444200-22-2000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000000

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