Finite Group Databasebeta

← Group #11886550

Character table — Group #11886550

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444444444444888888888888888888888812121212181818181818181824242424242424242424242424243636363648484848
order122233444466666634666888812121212121212121212121212121212121224242424242424242424242424242424444444448888222244121212121212121222886666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11-11111-1-1-1-1-1-1-1-111-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-11-1-1-1-11111-1-1-1-1-1-111
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ5111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1
χ6111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111-11111-1-1-1-111-1-1-1-111
χ7111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-11-1-1-1-1111111-1-111-1-1
χ8111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ9111111-1-1111111111-111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111111-11-1-1-111-1-111-1-11-1-1-11-11-1
χ10111111-1-1111111111-111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1-11-1111-1-1-1-111-11111-1-11
χ11111111-1-1111111111-111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-111-11-1-1-11111-1-1-1111-111-1
χ12111111-1-1111111111-111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1111-1-111-1-1111-1-1-1-11-11
χ13111111-1-1111111111-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-11-11-1-111-1-111-1-1-11-1-1-11-11
χ14111111-1-1111111111-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-111-1-1111-1-1-1-1111-111-111-1
χ15111111-1-1111111111-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11-1-111-1-1-11111-1-11-1111-1-11
χ16111111-1-1111111111-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111-11-111-1-111-1-111-11-1-11-11-1
χ1722222222-2-22222222-222200002222-2-2-2-2-2-2-2-2-2-222-2-2000000000000000000002222000000000000000000-2-2000000
χ1822222222-2-22222222-222200002222-2-2-2-2-2-2-2-2-2-222-2-200000000000000000000-2-2-2-200000000000000000022000000
χ19222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000000022-2-2000000000000000000-22000000
χ20222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-22200000000000000000000-2-2220000000000000000002-2000000
χ2122222-122222-122-1-1-12-1-1-1222222-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10022000000000022020000-1-1-1-1000000-1-1
χ2222222-122222-122-1-1-12-1-1-1222222-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100-2-20000000000-2-20-20000111100000011
χ2322222-122222-122-1-1-12-1-1-1-2-2-2-222-1-12-1-1-12-1-1-12-1-1-1-1-1-2-2111111-2-211111100220000000000-2-2020000-1-1-1-100000011
χ2422222-122222-122-1-1-12-1-1-1-2-2-2-222-1-12-1-1-12-1-1-12-1-1-1-1-1-2-2111111-2-211111100-2-20000000000220-200001111000000-1-1
χ2522222-1-2-2222-122-1-1-1-2-1-1-122-2-2-2-2112-1-1-12-1-1-1-21111122-1-1-1-1-1-1-2-2111111002200000000002-20-20000-1-111000000-11
χ2622222-1-2-2222-122-1-1-1-2-1-1-122-2-2-2-2112-1-1-12-1-1-1-21111122-1-1-1-1-1-1-2-211111100-2-20000000000-2202000011-1-10000001-1
χ2722222-1-2-2222-122-1-1-1-2-1-1-1-2-222-2-2112-1-1-12-1-1-1-211111-2-211111122-1-1-1-1-1-100220000000000-220-20000-1-1110000001-1
χ2822222-1-2-2222-122-1-1-1-2-1-1-1-2-222-2-2112-1-1-12-1-1-1-211111-2-211111122-1-1-1-1-1-100-2-200000000002-202000011-1-1000000-11
χ292222-122222-12-1-122-12-1-1-12222-1-122-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1220000000000220020-1-1-1-100000000-1-100
χ302222-122222-12-1-122-12-1-1-12222-1-122-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-20000000000-2-200-201111000000001100
χ312222-122222-12-1-122-12-1-1-1-2-2-2-2-1-122-12-1-1-12-1-1-12-1-1-1-111-2-2111111-2-21111220000000000-2-20020-1-1-1-1000000001100
χ322222-122222-12-1-122-12-1-1-1-2-2-2-2-1-122-12-1-1-12-1-1-12-1-1-1-111-2-2111111-2-21111-2-200000000002200-20111100000000-1-100
χ332222-12-2-222-12-1-122-1-2-1-1-122-2-211-2-2-12-1-1-12-1-11-21111-1-122-1-1-1-111-2-211112200000000002-200-20-1-11100000000-1100
χ342222-12-2-222-12-1-122-1-2-1-1-122-2-211-2-2-12-1-1-12-1-11-21111-1-122-1-1-1-111-2-21111-2-20000000000-22002011-1-1000000001-100
χ352222-12-2-222-12-1-122-1-2-1-1-1-2-22211-2-2-12-1-1-12-1-11-2111111-2-21111-1-122-1-1-1-1220000000000-2200-20-1-111000000001-100
χ362222-12-2-222-12-1-122-1-2-1-1-1-2-22211-2-2-12-1-1-12-1-11-2111111-2-21111-1-122-1-1-1-1-2-200000000002-2002011-1-100000000-1100
χ3722-2-2222-20022-2-2-2-2202-2-2−i2i2−i2i22-22-200000000002-200−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i200002i−2i2i−2i22−2−200000000000000002−20000
χ3822-2-2222-20022-2-2-2-2202-2-2−i2i2−i2i22-22-200000000002-200−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i20000−2i2i−2i2i−2−2220000000000000000−220000
χ3922-2-2222-20022-2-2-2-2202-2-2i2−i2i2−i22-22-200000000002-200i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i200002i−2i2i−2i−2−2220000000000000000−220000
χ4022-2-2222-20022-2-2-2-2202-2-2i2−i2i2−i22-22-200000000002-200i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i20000−2i2i−2i2i22−2−200000000000000002−20000
χ4122-2-222-220022-2-2-2-2202-2-2−i2i2i2−i2-22-220000000000-2200−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i200002i−2i−2i2i22−2−20000000000000000−220000
χ4222-2-222-220022-2-2-2-2202-2-2−i2i2i2−i2-22-220000000000-2200−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i20000−2i2i2i−2i−2−22200000000000000002−20000
χ4322-2-222-220022-2-2-2-2202-2-2i2−i2−i2i2-22-220000000000-2200i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i200002i−2i−2i2i−2−22200000000000000002−20000
χ4422-2-222-220022-2-2-2-2202-2-2i2−i2−i2i2-22-220000000000-2200i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i20000−2i2i2i−2i22−2−20000000000000000−220000
χ452-2-222200-22-2-22-22-220-22-200000000-2-2-2-2222200000000000000000000002-22-200002-22-20000002-2002-20000000000
χ462-2-222200-22-2-22-22-220-22-200000000-2-2-2-2222200000000000000000000002-2-220000-22-220000002-200-220000000000
χ472-2-222200-22-2-22-22-220-22-200000000-2-2-2-222220000000000000000000000-222-20000-22-22000000-22002-20000000000
χ482-2-222200-22-2-22-22-220-22-200000000-2-2-2-222220000000000000000000000-22-2200002-22-2000000-2200-220000000000
χ4944444-244-4-44-244-2-2-2-4-2-2-2000044-2-2-4222-4222-42-2-22200000000000000000000000000000000000000000000000000
χ5044444-2-4-4-4-44-244-2-2-24-2-2-20000-4-422-4222-42224-222-2-200000000000000000000000000000000000000000000000000
χ514444-2444-4-4-24-2-244-2-4-2-2-20000-2-2442-4222-4222-4-2-22200000000000000000000000000000000000000000000000000
χ524444-24-4-4-4-4-24-2-244-24-2-2-2000022-4-42-4222-422-2422-2-200000000000000000000000000000000000000000000000000
χ534444-2-24444-2-2-2-2-2-2141114444-2-2-2-2-2-211-2-211-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ544444-2-24444-2-2-2-2-2-214111-4-4-4-4-2-2-2-2-2-211-2-211-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ554444-2-244-4-4-2-2-2-2-2-21-41110000-2-2-2-222-1-122-1-12211-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000
χ564444-2-244-4-4-2-2-2-2-2-21-41110000-2-2-2-222-1-122-1-12211-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000
χ574444-2-2-4-444-2-2-2-2-2-21-411144-4-42222-2-211-2-21122-1-1-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000000
χ584444-2-2-4-444-2-2-2-2-2-21-4111-4-4442222-2-211-2-21122-1-1-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000000
χ594444-2-2-4-4-4-4-2-2-2-2-2-2141110000222222-1-122-1-1-2-2-1-11100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000000
χ604444-2-2-4-4-4-4-2-2-2-2-2-2141110000222222-1-122-1-1-2-2-1-1110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000000
χ6144-4-44-24-4004-2-4-422-20-222−2i22i2−2i22i24-4-220000000000-2200−2i22i2i2−i2i2i2−i2−i2−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000000
χ6244-4-44-24-4004-2-4-422-20-2222i2−2i22i2−2i24-4-220000000000-22002i2−2i2−i2i2−i2−i2i2i22i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000000
χ6344-4-44-2-44004-2-4-422-20-222−2i22i22i2−2i2-442-200000000002-200−2i22i2i2−i2i2i2−i2−i22i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000000
χ6444-4-44-2-44004-2-4-422-20-2222i2−2i2−2i22i2-442-200000000002-2002i2−2i2−i2i2−i2−i2i2i2−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000000
χ6544-4-4-244-400-2422-4-4-20-222−2i22i2−2i22i2-224-40000000000-2200i2−i2−2i22i2i2i2−i2−i2i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000000
χ6644-4-4-244-400-2422-4-4-20-2222i2−2i22i2−2i2-224-40000000000-2200−i2i22i2−2i2−i2−i2i2i2−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000
χ6744-4-4-24-4400-2422-4-4-20-222−2i22i22i2−2i22-2-4400000000002-200i2−i2−2i22i2i2i2−i2−i2−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000
χ6844-4-4-24-4400-2422-4-4-20-2222i2−2i2−2i22i22-2-4400000000002-200−i2i22i2−2i2−i2−i2i2i2i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000000
χ6944-4-4-2-24-400-2-22222101-1-1−2i22i2−2i22i2-22-22003i−3i003i−3i001-13i−3ii2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ230000000000000000000000000000000000
χ7044-4-4-2-24-400-2-22222101-1-1−2i22i2−2i22i2-22-2200−3i3i00−3i3i001-1−3i3ii2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ230000000000000000000000000000000000
χ7144-4-4-2-24-400-2-22222101-1-12i2−2i22i2−2i2-22-22003i−3i003i−3i001-13i−3i−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ230000000000000000000000000000000000
χ7244-4-4-2-24-400-2-22222101-1-12i2−2i22i2−2i2-22-2200−3i3i00−3i3i001-1−3i3i−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ230000000000000000000000000000000000
χ7344-4-4-2-2-4400-2-22222101-1-1−2i22i22i2−2i22-22-2003i−3i003i−3i00-11−3i3ii2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ230000000000000000000000000000000000
χ7444-4-4-2-2-4400-2-22222101-1-1−2i22i22i2−2i22-22-200−3i3i00−3i3i00-113i−3ii2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ230000000000000000000000000000000000
χ7544-4-4-2-2-4400-2-22222101-1-12i2−2i2−2i22i22-22-2003i−3i003i−3i00-11−3i3i−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ230000000000000000000000000000000000
χ7644-4-4-2-2-4400-2-22222101-1-12i2−2i2−2i22i22-22-200−3i3i00−3i3i00-113i−3i−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ230000000000000000000000000000000000
χ774-44-4440000-4-4-44-4440-4-44000000000000000000000000000000000000000000000022−22−22220000000000000000000000
χ784-44-4440000-4-4-44-4440-4-440000000000000000000000000000000000000000000000−222222−220000000000000000000000
χ794-4-4444004-4-4-44-44-440-44-4000000004444-4-4-4-400000000000000000000000000000000000000000000000000000000
χ804-4-444-2004-4-424-4-22-202-22000000004-2-2-2-4222000000000000000000000000000000000000000000000023−2300000000
χ814-4-444-2004-4-424-4-22-202-22000000004-2-2-2-42220000000000000000000000000000000000000000000000−232300000000
χ824-4-444-200-44-424-4-22-202-2200000000-42224-2-2-20000000000000000000000004-4000000000000000000-220000000000
χ834-4-444-200-44-424-4-22-202-2200000000-42224-2-2-2000000000000000000000000-440000000000000000002-20000000000
χ844-4-44-24004-42-4-224-4-202-2200000000-24-2-22-42200000000000000000000000000000000000000000023−23000000000000
χ854-4-44-24004-42-4-224-4-202-2200000000-24-2-22-422000000000000000000000000000000000000000000−2323000000000000
χ864-4-44-2400-442-4-224-4-202-22000000002-422-24-2-200000000000000000000004-40000000000000000-2200000000000000
χ874-4-44-2400-442-4-224-4-202-22000000002-422-24-2-20000000000000000000000-4400000000000000002-200000000000000
χ888-88-88-40000-84-884-4-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-4800004-84-4-88-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ908-88-8-4-40000444-44-420-2-2200000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000
χ918-88-8-4-40000444-44-420-2-220000000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4008-844-44-4420-22-200000000-4-42244-2-200000000000000000000000000000000000000000000000000000000
χ938-8-88-4-400-8844-44-4420-22-20000000044-2-2-4-42200000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.