Finite Group Databasebeta

← Group #11887053

Character table — Group #11887053

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444444444444888888888888888888888812121212181818181818181824242424242424242424242424243636363648484848
order1222334444666666346668888121212121212121212121212121212121212242424242424242424242424242424242244222288882224446666121212124488661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-111
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ5111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11-1-111111111-1-111-1-1-1-1
χ6111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1111-1-111-1-1-1-11111-1-111-1-1
χ7111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-111-1-11111-1-111-1-1-1-111
χ8111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-1-1-1-1-1-1-1111111
χ9111111-1-1111111111-111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-11-1-11-111-1-111-1-11-1-1-11-11-1
χ10111111-1-1111111111-111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-11-11-11111-1-1-1-1-1111-111-1
χ11111111-1-1111111111-111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11-11-11-1-1-1-11111-11111-1-11
χ12111111-1-1111111111-111111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-11-1-111-1-1111-1-1-1-11-11
χ13111111-1-1111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-11-1-1111-1-111-1-1-11-1-1-11-11
χ14111111-1-1111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111-1-1-111111-1-1-1-11-1111-1-11
χ15111111-1-1111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-111111-111-111-1
χ16111111-1-1111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-111-1-1-111-1-111-11-1-11-11-1
χ1722222222-2-22222222-22220000-2-22222-2-2-2-2-2-2-2-222-2-2000000000000000000002222000000000000000000-2-2000000
χ1822222222-2-22222222-22220000-2-22222-2-2-2-2-2-2-2-222-2-200000000000000000000-2-2-2-200000000000000000022000000
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
χ2122222-1222222-1-1-12-12-1-1-122222-1-1-122-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100220000000022200000-1-1-1-1000000-1-100
χ2222222-1222222-1-1-12-12-1-1-122222-1-1-122-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100-2-200000000-2-2-20000011110000001100
χ2322222-1222222-1-1-12-12-1-1-1-2-2-2-22-1-1-122-1-12-1-1-12-1-1-1-1-1-2-2111111-2-21111110022000000002-2-200000-1-1-1-10000001100
χ2422222-1222222-1-1-12-12-1-1-1-2-2-2-22-1-1-122-1-12-1-1-12-1-1-1-1-1-2-2111111-2-211111100-2-200000000-222000001111000000-1-100
χ2522222-1-2-22222-1-1-12-1-2-1-1-122-2-22-111-2-2-1-12-1-1-1-21111122-1-1-1-1-1-1-2-2111111002200000000-22-20000011-1-1000000-1100
χ2622222-1-2-22222-1-1-12-1-2-1-1-122-2-22-111-2-2-1-12-1-1-1-21111122-1-1-1-1-1-1-2-211111100-2-2000000002-2200000-1-1110000001-100
χ2722222-1-2-22222-1-1-12-1-2-1-1-1-2-2222-111-2-2-1-12-1-1-1-211111-2-211111122-1-1-1-1-1-1002200000000-2-220000011-1-10000001-100
χ2822222-1-2-22222-1-1-12-1-2-1-1-1-2-2222-111-2-2-1-12-1-1-1-211111-2-211111122-1-1-1-1-1-100-2-20000000022-200000-1-111000000-1100
χ292222-122222-1-1222-1-12-1-1-12222-1222-1-1-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1220000000000000222-1-10000-1-1000000-1-1
χ302222-122222-1-1222-1-12-1-1-12222-1222-1-1-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-20000000000000-2-2-21100001100000011
χ312222-122222-1-1222-1-12-1-1-1-2-2-2-2-1222-1-1-1-1-12-1-1-12-1-1-1-111-2-2111111-2-211112200000000000002-2-2-1-10000-1-100000011
χ322222-122222-1-1222-1-12-1-1-1-2-2-2-2-1222-1-1-1-1-12-1-1-12-1-1-1-111-2-2111111-2-21111-2-20000000000000-22211000011000000-1-1
χ332222-12-2-222-1-1222-1-1-2-1-1-122-2-2-12-2-211-1-1-12-1-11-21111-1-122-1-1-1-111-2-21111220000000000000-22-2-1-1000011000000-11
χ342222-12-2-222-1-1222-1-1-2-1-1-122-2-2-12-2-211-1-1-12-1-11-21111-1-122-1-1-1-111-2-21111-2-200000000000002-22110000-1-10000001-1
χ352222-12-2-222-1-1222-1-1-2-1-1-1-2-222-12-2-211-1-1-12-1-11-2111111-2-21111-1-122-1-1-1-1220000000000000-2-22-1-10000110000001-1
χ362222-12-2-222-1-1222-1-1-2-1-1-1-2-222-12-2-211-1-1-12-1-11-2111111-2-21111-1-122-1-1-1-1-2-2000000000000022-2110000-1-1000000-11
χ372-22-222002-22-22-2-2-2202-2-2000022000022-2-2-2-200000000000000000000002-22i−2i00002i2i−2i−2i0000002-2002i−2i0000000000
χ382-22-222002-22-22-2-2-2202-2-2000022000022-2-2-2-200000000000000000000002-2−2i2i0000−2i−2i2i2i0000002-200−2i2i0000000000
χ392-22-222002-22-22-2-2-2202-2-2000022000022-2-2-2-20000000000000000000000-222i−2i0000−2i−2i2i2i000000-22002i−2i0000000000
χ402-22-222002-22-22-2-2-2202-2-2000022000022-2-2-2-20000000000000000000000-22−2i2i00002i2i−2i−2i000000-2200−2i2i0000000000
χ412-2-22222-200-2-2-2-22220-22-22−22−2002-22-2000000002-2002−22−222−2−22−22−222−2−200002-22-22−22−200000000000000002−20000
χ422-2-22222-200-2-2-2-22220-22-22−22−2002-22-2000000002-2002−22−222−2−22−22−222−2−20000-22-22−22−220000000000000000−220000
χ432-2-22222-200-2-2-2-22220-22-2−22−22002-22-2000000002-200−22−22−2−222−22−22−2−22200002-22-2−22−220000000000000000−220000
χ442-2-22222-200-2-2-2-22220-22-2−22−22002-22-2000000002-200−22−22−2−222−22−22−2−2220000-22-222−22−200000000000000002−20000
χ452-2-2222-2200-2-2-2-22220-22-22−2−2200-22-2200000000-22002−22−222−2−2−22−22−2−22200002-2-222−22−20000000000000000−220000
χ462-2-2222-2200-2-2-2-22220-22-22−2−2200-22-2200000000-22002−22−222−2−2−22−22−2−2220000-222-2−22−2200000000000000002−20000
χ472-2-2222-2200-2-2-2-22220-22-2−222−200-22-2200000000-2200−22−22−2−2222−22−222−2−200002-2-22−22−2200000000000000002−20000
χ482-2-2222-2200-2-2-2-22220-22-2−222−200-22-2200000000-2200−22−22−2−2222−22−222−2−20000-222-22−22−20000000000000000−220000
χ4944444-244-4-444-2-2-24-2-4-2-2-20000-42-2-24422-4222-42-2-22200000000000000000000000000000000000000000000000000
χ5044444-2-4-4-4-444-2-2-24-24-2-2-20000-4222-4-422-42224-222-2-200000000000000000000000000000000000000000000000000
χ514444-2444-4-4-2-2444-2-2-4-2-2-200002-444-2-2222-4222-4-2-22200000000000000000000000000000000000000000000000000
χ524444-24-4-4-4-4-2-2444-2-24-2-2-200002-4-4-422222-422-2422-2-200000000000000000000000000000000000000000000000000
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
χ554444-2-244-4-4-2-2-2-2-2-21-4111000022-2-2-2-2-1-122-1-12211-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000
χ564444-2-244-4-4-2-2-2-2-2-21-4111000022-2-2-2-2-1-122-1-12211-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000
χ574444-2-2-4-444-2-2-2-2-2-21-411144-4-4-2-2222211-2-21122-1-1-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000000
χ584444-2-2-4-444-2-2-2-2-2-21-4111-4-444-2-2222211-2-21122-1-1-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000000
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
χ6144-4-4440000-44-44-4-440-4-440000000000000000000000000000000000000000000000−2i22i22i2−2i20000000000000000000000
χ6244-4-4440000-44-44-4-440-4-4400000000000000000000000000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ634-44-44400-444-44-4-4-4404-4-40000-4-40000-4-4444400000000000000000000000000000000000000000000000000000000
χ644-44-44-2004-44-4-222-4-20-22200004-20000-2-2-42220000000000000000000000004i−4i000000000000000000−2i2i0000000000
χ654-44-44-2004-44-4-222-4-20-22200004-20000-2-2-4222000000000000000000000000−4i4i0000000000000000002i−2i0000000000
χ664-44-44-200-444-4-222-4-20-2220000-420000224-2-2-2000000000000000000000000000000000000000000−2i32i3000000000000
χ674-44-44-200-444-4-222-4-20-2220000-420000224-2-2-20000000000000000000000000000000000000000002i3−2i3000000000000
χ684-44-4-24004-4-224-4-42-20-2220000-240000-2-22-42200000000000000000000004-40000000000000000-2200000000000000
χ694-44-4-24004-4-224-4-42-20-2220000-240000-2-22-4220000000000000000000000-4400000000000000002-200000000000000
χ704-44-4-2400-44-224-4-42-20-22200002-4000022-24-2-2000000000000000000000000000000000000000000000023−2300000000
χ714-44-4-2400-44-224-4-42-20-22200002-4000022-24-2-20000000000000000000000000000000000000000000000−232300000000
χ724-4-444-24-400-4-422-24-202-2222−2222−2200-224-400000000-220022−22−22−2−22222−22−22−2−2220000000000000000000000000000000000
χ734-4-444-24-400-4-422-24-202-22−2222−222200-224-400000000-2200−22222−222−2−2−22222−222−2−20000000000000000000000000000000000
χ744-4-444-2-4400-4-422-24-202-2222−22−2222002-2-44000000002-20022−22−22−2−222−22222−222−2−20000000000000000000000000000000000
χ754-4-444-2-4400-4-422-24-202-22−222222−22002-2-44000000002-200−22222−222−2−222−22−22−2−2220000000000000000000000000000000000
χ764-4-44-244-40022-4-44-2-202-2222−2222−22004-4-2200000000-2200−2222−22−2−222−2222−22−2−2220000000000000000000000000000000000
χ774-4-44-244-40022-4-44-2-202-22−2222−2222004-4-2200000000-22002−2−222222−2−22−2−222222−2−20000000000000000000000000000000000
χ784-4-44-24-440022-4-44-2-202-2222−22−222200-442-2000000002-200−2222−22−2−2222−2−222222−2−20000000000000000000000000000000000
χ794-4-44-24-440022-4-44-2-202-22−222222−2200-442-2000000002-2002−2−222222−2−2−2222−22−2−2220000000000000000000000000000000000
χ804-4-44-2-24-4002222-2-210-11-122−2222−2200-22-223i−3i003i−3i001-13i−3i−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ230000000000000000000000000000000000
χ814-4-44-2-24-4002222-2-210-11-122−2222−2200-22-22−3i3i00−3i3i001-1−3i3i−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ230000000000000000000000000000000000
χ824-4-44-2-24-4002222-2-210-11-1−2222−222200-22-223i−3i003i−3i001-13i−3i2−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ230000000000000000000000000000000000
χ834-4-44-2-24-4002222-2-210-11-1−2222−222200-22-22−3i3i00−3i3i001-1−3i3i2−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ232−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ230000000000000000000000000000000000
χ844-4-44-2-2-44002222-2-210-11-122−22−2222002-22-23i−3i003i−3i00-11−3i3i−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ232−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ230000000000000000000000000000000000
χ854-4-44-2-2-44002222-2-210-11-122−22−2222002-22-2−3i3i00−3i3i00-113i−3i−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ232−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ230000000000000000000000000000000000
χ864-4-44-2-2-44002222-2-210-11-1−222222−22002-22-23i−3i003i−3i00-11−3i3i2−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ230000000000000000000000000000000000
χ874-4-44-2-2-44002222-2-210-11-1−222222−22002-22-2−3i3i00−3i3i00-113i−3i2−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ230000000000000000000000000000000000
χ8888-8-88-40000-884-44-8-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4800004-4-88-84-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-400004-44-44420-2-2200000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-400004-44-44420-2-220000000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000
χ928-88-8-4-4008-8-44-4444202-2-20000-4-400002244-2-200000000000000000000000000000000000000000000000000000000
χ938-88-8-4-400-88-44-4444202-2-20000440000-2-2-4-42200000000000000000000000000000000000000000000000000000000

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