Finite Group Databasebeta

← Group #11898361

Character table — Group #11898361

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444444444444888888888888888888888812121212181818181818181824242424242424242424242424243636363648484848
order12223344446666663466688881212121212121212121212121212121212122424242424242424242424242424242444444444888822444412121212121212124488661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-111-1-1-1-1-1-11-11-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-111-1-1-1-1-11-11
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ5111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-11-111111111-1-111-1-1-1-1
χ6111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-1111-1-111-1-111-1-1-11-11
χ7111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-111-1-1-111-1-11111-1-11-11-1
χ8111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11-1-1-1-1-1-1-1-1-1-1111111
χ9111111-1-1111111111-111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-11-111111-1-1-1-1-11-1-1-1-111
χ10111111-1-1111111111-111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11-111-111-1-1-1-1111-111-111-1
χ11111111-1-1111111111-111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11-11-1-11-1-11111-1-11-1111-1-11
χ12111111-1-1111111111-111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-11-1-1-1-1-11111-11-1-111-1-1
χ13111111-1-1111111111-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-11111-1-1-1-11-1-1-111-1-1
χ14111111-1-1111111111-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11-1-1-11111-1-1-1-111-11111-1-11
χ15111111-1-1111111111-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1111-111-1
χ16111111-1-1111111111-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-11111-1-1-1-111111-1-1-1-1-111
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
χ19222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000000022-2-20000000000000000002-2000000
χ20222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-222-2-22200000000000000000000-2-222000000000000000000-22000000
χ2122222-122222-12-12-1-12-1-1-1222222-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100220000000002002200-1-100-1-100000-10-1
χ2222222-122222-12-12-1-12-1-1-1222222-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100-2-2000000000-200-2-20011001100000101
χ2322222-122222-12-12-1-12-1-1-1-2-2-2-222-1-12-1-1-12-1-1-12-1-1-1-1-1-2-2111111-2-21111110022000000000-2002-200-1-100-1-100000101
χ2422222-122222-12-12-1-12-1-1-1-2-2-2-222-1-12-1-1-12-1-1-12-1-1-1-1-1-2-2111111-2-211111100-2-2000000000200-220011001100000-10-1
χ2522222-1-2-2222-12-12-1-1-2-1-1-122-2-2-2-2112-1-1-12-1-1-1-21111122-1-1-1-1-1-1-2-21111110022000000000-200-2200-1-100110000010-1
χ2622222-1-2-2222-12-12-1-1-2-1-1-122-2-2-2-2112-1-1-12-1-1-1-21111122-1-1-1-1-1-1-2-211111100-2-20000000002002-2001100-1-100000-101
χ2722222-1-2-2222-12-12-1-1-2-1-1-1-2-222-2-2112-1-1-12-1-1-1-211111-2-211111122-1-1-1-1-1-10022000000000200-2-200-1-1001100000-101
χ2822222-1-2-2222-12-12-1-1-2-1-1-1-2-222-2-2112-1-1-12-1-1-1-211111-2-211111122-1-1-1-1-1-100-2-2000000000-20022001100-1-10000010-1
χ292222-122222-12-12-12-12-1-1-12222-1-122-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1220000000000202200-1-100-1-1000000-10-10
χ302222-122222-12-12-12-12-1-1-12222-1-122-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-20000000000-20-2-2001100110000001010
χ312222-122222-12-12-12-12-1-1-1-2-2-2-2-1-122-12-1-1-12-1-1-12-1-1-1-111-2-2111111-2-21111220000000000-202-200-1-100-1-10000001010
χ322222-122222-12-12-12-12-1-1-1-2-2-2-2-1-122-12-1-1-12-1-1-12-1-1-1-111-2-2111111-2-21111-2-2000000000020-2200110011000000-10-10
χ332222-12-2-222-12-12-12-1-2-1-1-122-2-211-2-2-12-1-1-12-1-11-21111-1-122-1-1-1-111-2-21111220000000000-20-2200-1-1001100000010-10
χ342222-12-2-222-12-12-12-1-2-1-1-122-2-211-2-2-12-1-1-12-1-11-21111-1-122-1-1-1-111-2-21111-2-20000000000202-2001100-1-1000000-1010
χ352222-12-2-222-12-12-12-1-2-1-1-1-2-22211-2-2-12-1-1-12-1-11-2111111-2-21111-1-122-1-1-1-122000000000020-2-200-1-10011000000-1010
χ362222-12-2-222-12-12-12-1-2-1-1-1-2-22211-2-2-12-1-1-12-1-11-2111111-2-21111-1-122-1-1-1-1-2-20000000000-2022001100-1-100000010-10
χ372-22-222002-2-2-2-2-222202-2-2000000002222-2-2-2-200000000000000000000002i−2i2i−2i000022-2-20000002i−2i2i−2i000000000000
χ382-22-222002-2-2-2-2-222202-2-2000000002222-2-2-2-200000000000000000000002i−2i−2i2i0000-2-2220000002i−2i−2i2i000000000000
χ392-22-222002-2-2-2-2-222202-2-2000000002222-2-2-2-20000000000000000000000−2i2i2i−2i0000-2-222000000−2i2i2i−2i000000000000
χ402-22-222002-2-2-2-2-222202-2-2000000002222-2-2-2-20000000000000000000000−2i2i−2i2i000022-2-2000000−2i2i−2i2i000000000000
χ412-2-22222i−2i00-2-222-2-220-22-2−i2i22−22i−2i2i−2i00000000002i−2i00−i2i2−i2i2−i2−i2i2i22−22−222−2−200002i−2i2-22−22−20000000000000000−i2i20000
χ422-2-22222i−2i00-2-222-2-220-22-2−i2i22−22i−2i2i−2i00000000002i−2i00−i2i2−i2i2−i2−i2i2i22−22−222−2−20000−2i2i-22−22−220000000000000000i2−i20000
χ432-2-22222i−2i00-2-222-2-220-22-2i2−i2−222i−2i2i−2i00000000002i−2i00i2−i2i2−i2i2i2−i2−i2−22−22−2−22200002i−2i2-2−22−220000000000000000i2−i20000
χ442-2-22222i−2i00-2-222-2-220-22-2i2−i2−222i−2i2i−2i00000000002i−2i00i2−i2i2−i2i2i2−i2−i2−22−22−2−2220000−2i2i-222−22−20000000000000000−i2i20000
χ452-2-2222−2i2i00-2-222-2-220-22-2−i2i2−22−2i2i−2i2i0000000000−2i2i00−i2i2−i2i2−i2−i2i2i2−22−22−2−22200002i−2i-222−22−20000000000000000i2−i20000
χ462-2-2222−2i2i00-2-222-2-220-22-2−i2i2−22−2i2i−2i2i0000000000−2i2i00−i2i2−i2i2−i2−i2i2i2−22−22−2−2220000−2i2i2-2−22−220000000000000000−i2i20000
χ472-2-2222−2i2i00-2-222-2-220-22-2i2−i22−2−2i2i−2i2i0000000000−2i2i00i2−i2i2−i2i2i2−i2−i22−22−222−2−200002i−2i-22−22−220000000000000000−i2i20000
χ482-2-2222−2i2i00-2-222-2-220-22-2i2−i22−2−2i2i−2i2i0000000000−2i2i00i2−i2i2−i2i2i2−i2−i22−22−222−2−20000−2i2i2-22−22−20000000000000000i2−i20000
χ4944444-244-4-44-24-24-2-2-4-2-2-2000044-2-2-4222-4222-42-2-22200000000000000000000000000000000000000000000000000
χ5044444-2-4-4-4-44-24-24-2-24-2-2-20000-4-422-4222-42224-222-2-200000000000000000000000000000000000000000000000000
χ514444-2444-4-4-24-24-24-2-4-2-2-20000-2-2442-4222-4222-4-2-22200000000000000000000000000000000000000000000000000
χ524444-24-4-4-4-4-24-24-24-24-2-2-2000022-4-42-4222-422-2422-2-200000000000000000000000000000000000000000000000000
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
χ6144-4-444000044-4-4-4-440-4-44000000000000000000000000000000000000000000000022−22−22220000000000000000000000
χ6244-4-444000044-4-4-4-440-4-440000000000000000000000000000000000000000000000−222222−220000000000000000000000
χ634-44-44400-44-4-4-4-444404-4-400000000-4-4-4-4444400000000000000000000000000000000000000000000000000000000
χ644-44-44-2004-4-42-424-2-20-222000000004-2-2-2-42220000000000000000000000004i−4i0000000000000000−2i2i000000000000
χ654-44-44-2004-4-42-424-2-20-222000000004-2-2-2-4222000000000000000000000000−4i4i00000000000000002i−2i000000000000
χ664-44-44-200-44-42-424-2-20-22200000000-42224-2-2-20000000000000000000000000000000000000000000000−2i32i300000000
χ674-44-44-200-44-42-424-2-20-22200000000-42224-2-2-200000000000000000000000000000000000000000000002i3−2i300000000
χ684-44-4-24004-42-42-4-24-20-22200000000-24-2-22-42200000000000000000000004i−4i0000000000000000−2i2i00000000000000
χ694-44-4-24004-42-42-4-24-20-22200000000-24-2-22-4220000000000000000000000−4i4i00000000000000002i−2i00000000000000
χ704-44-4-2400-442-42-4-24-20-222000000002-422-24-2-200000000000000000000000000000000000000000000−2i32i30000000000
χ714-44-4-2400-442-42-4-24-20-222000000002-422-24-2-2000000000000000000000000000000000000000000002i3−2i30000000000
χ724-4-444-24i−4i00-424-2-42-202-22−2i22i222−224i−4i−2i2i0000000000−2i2i00−2i22i2i2−i2i2i2−i2−i222−22−22−2−2220000000000000000000000000000000000
χ734-4-444-24i−4i00-424-2-42-202-222i2−2i2−22224i−4i−2i2i0000000000−2i2i002i2−2i2−i2i2−i2−i2i2i2−22222−222−2−20000000000000000000000000000000000
χ744-4-444-2−4i4i00-424-2-42-202-22−2i22i2−2222−4i4i2i−2i00000000002i−2i00−2i22i2i2−i2i2i2−i2−i2−22222−222−2−20000000000000000000000000000000000
χ754-4-444-2−4i4i00-424-2-42-202-222i2−2i222−22−4i4i2i−2i00000000002i−2i002i2−2i2−i2i2−i2−i2i2i222−22−22−2−2220000000000000000000000000000000000
χ764-4-44-244i−4i002-4-242-4-202-22−2i22i222−22−2i2i4i−4i0000000000−2i2i00i2−i2−2i22i2i2i2−i2−i2−2222−22−2−2220000000000000000000000000000000000
χ774-4-44-244i−4i002-4-242-4-202-222i2−2i2−2222−2i2i4i−4i0000000000−2i2i00−i2i22i2−2i2−i2−i2i2i22−2−222222−2−20000000000000000000000000000000000
χ784-4-44-24−4i4i002-4-242-4-202-22−2i22i2−22222i−2i−4i4i00000000002i−2i00i2−i2−2i22i2i2i2−i2−i22−2−222222−2−20000000000000000000000000000000000
χ794-4-44-24−4i4i002-4-242-4-202-222i2−2i222−222i−2i−4i4i00000000002i−2i00−i2i22i2−2i2−i2−i2i2i2−2222−22−2−2220000000000000000000000000000000000
χ804-4-44-2-24i−4i0022-2-22210-11-1−2i22i222−22−2i2i−2i2i003i−3i003i−3i00i−i3-3i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ230000000000000000000000000000000000
χ814-4-44-2-24i−4i0022-2-22210-11-1−2i22i222−22−2i2i−2i2i00−3i3i00−3i3i00i−i-33i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ230000000000000000000000000000000000
χ824-4-44-2-24i−4i0022-2-22210-11-12i2−2i2−2222−2i2i−2i2i003i−3i003i−3i00i−i3-3−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ230000000000000000000000000000000000
χ834-4-44-2-24i−4i0022-2-22210-11-12i2−2i2−2222−2i2i−2i2i00−3i3i00−3i3i00i−i-33−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ232−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ230000000000000000000000000000000000
χ844-4-44-2-2−4i4i0022-2-22210-11-1−2i22i2−22222i−2i2i−2i003i−3i003i−3i00−ii-33i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ232−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ230000000000000000000000000000000000
χ854-4-44-2-2−4i4i0022-2-22210-11-1−2i22i2−22222i−2i2i−2i00−3i3i00−3i3i00−ii3-3i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ232−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ230000000000000000000000000000000000
χ864-4-44-2-2−4i4i0022-2-22210-11-12i2−2i222−222i−2i2i−2i003i−3i003i−3i00−ii-33−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ230000000000000000000000000000000000
χ874-4-44-2-2−4i4i0022-2-22210-11-12i2−2i222−222i−2i2i−2i00−3i3i00−3i3i00−ii3-3−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ230000000000000000000000000000000000
χ8888-8-88-400008-4-84-84-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-480000-484-84-8-4044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-40000-4-4444420-2-2200000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-40000-4-4444420-2-220000000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000
χ928-88-8-4-4008-84444-4-4202-2-200000000-4-42244-2-200000000000000000000000000000000000000000000000000000000
χ938-88-8-4-400-884444-4-4202-2-20000000044-2-2-4-42200000000000000000000000000000000000000000000000000000000

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