Finite Group Databasebeta

← Group #11887379

Character table — Group #11887379

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444444444444888888888888888888888812121212181818181818181824242424242424242424242424243636363648484848
order12223344446666662366688881212121212121212121212126666121224242424242424242424242424242424224422448888224444661212121212124488661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-111-1-111-1-1-1-1-1-1-111-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-111-1-11-1-111-1-111-1-1-1-11-1-11
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ5111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111111111-1-111-1-1-1-1
χ6111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-1111-1-111-1-111-1-11-1-11
χ7111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-11-11-1-1-111-1-11111-1-1-111-1
χ8111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1111111
χ9111111-1-111111111-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1111-1-1-1-1111-1-1-1-11-11
χ10111111-1-111111111-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-111111-1-1
χ11111111-1-111111111-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1111-1-111
χ12111111-1-111111111-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-1-11111-1-11-1-1-11-11-1
χ13111111-1-111111111-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-11-1-11-111-1-1-1-111-11-1-11-11-1
χ14111111-1-111111111-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11-1111111-1-1-1-11-111-1-111
χ15111111-1-111111111-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111-11-1-1-1-1-1-111111-11111-1-1
χ16111111-1-111111111-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111111-111-11-1-11111-1-1-11-1-1-11-11
χ1722222222-2-2222222-2222200002222-2-2-2-2-2-2-2-2-2-2-2-222000000000000000000002222000000000000000000-2-2000000
χ1822222222-2-2222222-2222200002222-2-2-2-2-2-2-2-2-2-2-2-22200000000000000000000-2-2-2-200000000000000000022000000
χ19222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-22222-2-20000000000000000000022-2-20000000000000000002-2000000
χ20222222-2-2-2-2222222222220000-2-2-2-2-2-2-2-2-2-2-2-22222-2-200000000000000000000-2-222000000000000000000-22000000
χ2122222-12222-122-1-122-1-1-1-1222222-1-122-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1220000000000200220-1-100-1-10000000-1-10
χ2222222-12222-122-1-122-1-1-1-1222222-1-122-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-20000000000-200-2-201100110000000110
χ2322222-12222-122-1-122-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-12-1-1-1-1-1-2-2111111-2-2111111220000000000-2002-20-1-100-1-10000000110
χ2422222-12222-122-1-122-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-12-1-1-1-1-1-2-2111111-2-2111111-2-20000000000200-2201100110000000-1-10
χ2522222-1-2-222-122-1-12-2-1-1-1-122-2-2-2-21122-1-1-1-1-1-1-21111122-1-1-1-1-1-1-2-2111111220000000000200-2-20-1-100110000000-110
χ2622222-1-2-222-122-1-12-2-1-1-1-122-2-2-2-21122-1-1-1-1-1-1-21111122-1-1-1-1-1-1-2-2111111-2-20000000000-2002201100-1-100000001-10
χ2722222-1-2-222-122-1-12-2-1-1-1-1-2-222-2-21122-1-1-1-1-1-1-211111-2-211111122-1-1-1-1-1-1220000000000-200-220-1-1001100000001-10
χ2822222-1-2-222-122-1-12-2-1-1-1-1-2-222-2-21122-1-1-1-1-1-1-211111-2-211111122-1-1-1-1-1-1-2-200000000002002-201100-1-10000000-110
χ292222-1222222-1-122-12-1-1-1-12222-1-122-1-122-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100220000000002200200-1-100-1-10000-100-1
χ302222-1222222-1-122-12-1-1-1-12222-1-122-1-122-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100-2-2000000000-2-200-20011001100001001
χ312222-1222222-1-122-12-1-1-1-1-2-2-2-2-1-122-1-122-1-1-1-1-12-1-1-1-111-2-2111111-2-211110022000000000-2200-200-1-100-1-100001001
χ322222-1222222-1-122-12-1-1-1-1-2-2-2-2-1-122-1-122-1-1-1-1-12-1-1-1-111-2-2111111-2-2111100-2-20000000002-2002001100110000-100-1
χ332222-12-2-2222-1-122-1-2-1-1-1-122-2-211-2-2-1-122-1-1-1-11-21111-1-122-1-1-1-111-2-211110022000000000-2-2002001100-1-10000100-1
χ342222-12-2-2222-1-122-1-2-1-1-1-122-2-211-2-2-1-122-1-1-1-11-21111-1-122-1-1-1-111-2-2111100-2-20000000002200-200-1-100110000-1001
χ352222-12-2-2222-1-122-1-2-1-1-1-1-2-22211-2-2-1-122-1-1-1-11-2111111-2-21111-1-122-1-1-1-100220000000002-200-2001100-1-10000-1001
χ362222-12-2-2222-1-122-1-2-1-1-1-1-2-22211-2-2-1-122-1-1-1-11-2111111-2-21111-1-122-1-1-1-100-2-2000000000-2200200-1-100110000100-1
χ3722-2-2222i−2i002-22-2-2-2022-2-22−2−i2i22i−2i2i−2i0000000000002i−2i2−22−222−2−2−i2i2−i2i2−i2−i2i2i200002-22i−2i−i2−i2i2i200000000000000002−20000
χ3822-2-2222i−2i002-22-2-2-2022-2-22−2−i2i22i−2i2i−2i0000000000002i−2i2−22−222−2−2−i2i2−i2i2−i2−i2i2i20000-22−2i2ii2i2−i2−i20000000000000000−220000
χ3922-2-2222i−2i002-22-2-2-2022-2-2−22i2−i22i−2i2i−2i0000000000002i−2i−22−22−2−222i2−i2i2−i2i2i2−i2−i200002-22i−2ii2i2−i2−i20000000000000000−220000
χ4022-2-2222i−2i002-22-2-2-2022-2-2−22i2−i22i−2i2i−2i0000000000002i−2i−22−22−2−222i2−i2i2−i2i2i2−i2−i20000-22−2i2i−i2−i2i2i200000000000000002−20000
χ4122-2-222−2i2i002-22-2-2-2022-2-22−2i2−i2−2i2i−2i2i000000000000−2i2i2−22−222−2−2i2−i2i2−i2i2i2−i2−i200002-2−2i2ii2i2−i2−i200000000000000002−20000
χ4222-2-222−2i2i002-22-2-2-2022-2-22−2i2−i2−2i2i−2i2i000000000000−2i2i2−22−222−2−2i2−i2i2−i2i2i2−i2−i20000-222i−2i−i2−i2i2i20000000000000000−220000
χ4322-2-222−2i2i002-22-2-2-2022-2-2−22−i2i2−2i2i−2i2i000000000000−2i2i−22−22−2−222−i2i2−i2i2−i2−i2i2i200002-2−2i2i−i2−i2i2i20000000000000000−220000
χ4422-2-222−2i2i002-22-2-2-2022-2-2−22−i2i2−2i2i−2i2i000000000000−2i2i−22−22−2−222−i2i2−i2i2−i2−i2i2i20000-222i−2ii2i2−i2−i200000000000000002−20000
χ452-22-222002-2-22-2-22-202-2-22000000002-22-222-2-200000000000000000000002-22i−2i00002i−2i2i−2i0000002-200002i−2i00000000
χ462-22-222002-2-22-2-22-202-2-22000000002-22-222-2-200000000000000000000002-2−2i2i0000−2i2i−2i2i0000002-20000−2i2i00000000
χ472-22-222002-2-22-2-22-202-2-22000000002-22-222-2-20000000000000000000000-222i−2i0000−2i2i−2i2i000000-2200002i−2i00000000
χ482-22-222002-2-22-2-22-202-2-22000000002-22-222-2-20000000000000000000000-22−2i2i00002i−2i2i−2i000000-220000−2i2i00000000
χ4944444-244-4-4-244-2-24-4-2-2-2-2000044-2-2-4-4222222-4222-2-200000000000000000000000000000000000000000000000000
χ5044444-2-4-4-4-4-244-2-244-2-2-2-20000-4-422-4-42222224-2-2-22200000000000000000000000000000000000000000000000000
χ514444-2444-4-44-2-244-2-4-2-2-2-20000-2-24422-4-422222-422-2-200000000000000000000000000000000000000000000000000
χ524444-24-4-4-4-44-2-244-24-2-2-2-2000022-4-422-4-42222-24-2-22200000000000000000000000000000000000000000000000000
χ534444-2-24444-2-2-2-2-2-2411114444-2-2-2-2-2-2-2-21111-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ544444-2-24444-2-2-2-2-2-241111-4-4-4-4-2-2-2-2-2-2-2-21111-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ554444-2-244-4-4-2-2-2-2-2-2-411110000-2-2-2-22222-1-1-1-122-1-11100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000
χ564444-2-244-4-4-2-2-2-2-2-2-411110000-2-2-2-22222-1-1-1-122-1-1110000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000
χ574444-2-2-4-444-2-2-2-2-2-2-4111144-4-42222-2-2-2-2111122-1-1-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000000
χ584444-2-2-4-444-2-2-2-2-2-2-41111-4-4442222-2-2-2-2111122-1-1-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000000
χ594444-2-2-4-4-4-4-2-2-2-2-2-241111000022222222-1-1-1-1-2-211-1-100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000000
χ604444-2-2-4-4-4-4-2-2-2-2-2-241111000022222222-1-1-1-1-2-211-1-10000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000000
χ6144-4-44-24i−4i00-2-4422-40-2-22222−22−2i22i24i−4i−2i2i000000000000−2i2i22−22−22−2−222−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000000
χ6244-4-44-24i−4i00-2-4422-40-2-222−22222i2−2i24i−4i−2i2i000000000000−2i2i−22222−222−2−22i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000000
χ6344-4-44-2−4i4i00-2-4422-40-2-22222−222i2−2i2−4i4i2i−2i0000000000002i−2i22−22−22−2−2222i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000000
χ6444-4-44-2−4i4i00-2-4422-40-2-222−2222−2i22i2−4i4i2i−2i0000000000002i−2i−22222−222−2−2−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000000
χ6544-4-4-244i−4i0042-2-4-420-2-22222−22−2i22i2−2i2i4i−4i000000000000−2i2i−2222−22−2−222i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000000
χ6644-4-4-244i−4i0042-2-4-420-2-222−22222i2−2i2−2i2i4i−4i000000000000−2i2i2−2−222222−2−2−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000
χ6744-4-4-24−4i4i0042-2-4-420-2-22222−222i2−2i22i−2i−4i4i0000000000002i−2i−2222−22−2−222−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000
χ6844-4-4-24−4i4i0042-2-4-420-2-222−2222−2i22i22i−2i−4i4i0000000000002i−2i2−2−222222−2−2i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000000
χ6944-4-4-2-24i−4i00-22-2222011-1-122−22−2i22i2−2i2i−2i2i00003i−3i3i−3i003-3i−i−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ230000000000000000000000000000000000
χ7044-4-4-2-24i−4i00-22-2222011-1-122−22−2i22i2−2i2i−2i2i0000−3i3i−3i3i00-33i−i−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ230000000000000000000000000000000000
χ7144-4-4-2-24i−4i00-22-2222011-1-1−22222i2−2i2−2i2i−2i2i00003i−3i3i−3i003-3i−i2−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ230000000000000000000000000000000000
χ7244-4-4-2-24i−4i00-22-2222011-1-1−22222i2−2i2−2i2i−2i2i0000−3i3i−3i3i00-33i−i2−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ230000000000000000000000000000000000
χ7344-4-4-2-2−4i4i00-22-2222011-1-122−222i2−2i22i−2i2i−2i00003i−3i3i−3i00-33−ii−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ230000000000000000000000000000000000
χ7444-4-4-2-2−4i4i00-22-2222011-1-122−222i2−2i22i−2i2i−2i0000−3i3i−3i3i003-3−ii−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ230000000000000000000000000000000000
χ7544-4-4-2-2−4i4i00-22-2222011-1-1−2222−2i22i22i−2i2i−2i00003i−3i3i−3i00-33−ii2−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ230000000000000000000000000000000000
χ7644-4-4-2-2−4i4i00-22-2222011-1-1−2222−2i22i22i−2i2i−2i0000−3i3i−3i3i003-3−ii2−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ230000000000000000000000000000000000
χ774-44-44400-44-44-4-44-404-4-4400000000-44-44-4-44400000000000000000000000000000000000000000000000000000000
χ784-44-44-2004-424-42-2-40-222-2000000004-4-22-2-22200000000000000000000004-40000000000000000-2200000000000000
χ794-44-44-2004-424-42-2-40-222-2000000004-4-22-2-2220000000000000000000000-4400000000000000002-200000000000000
χ804-44-44-200-4424-42-2-40-222-200000000-442-222-2-200000000000000000000000000000000000000000000−2i32i30000000000
χ814-44-44-200-4424-42-2-40-222-200000000-442-222-2-2000000000000000000000000000000000000000000002i3−2i30000000000
χ824-44-4-24004-4-4-22-4420-222-200000000-224-4-2-2220000000000000000000000004i−4i00000000000000000000−2i2i00000000
χ834-44-4-24004-4-4-22-4420-222-200000000-224-4-2-222000000000000000000000000−4i4i000000000000000000002i−2i00000000
χ844-44-4-2400-44-4-22-4420-222-2000000002-2-4422-2-200000000000000000000000000000000000000000023−23000000000000
χ854-44-4-2400-44-4-22-4420-222-2000000002-2-4422-2-2000000000000000000000000000000000000000000−2323000000000000
χ864-4-44440000-4-4-44-4404-44-4000000000000000000000000000000000000000000000022−22−22220000000000000000000000
χ874-4-44440000-4-4-44-4404-44-40000000000000000000000000000000000000000000000−222222−220000000000000000000000
χ888-88-8-4-4008-84-444-4402-2-2200000000-44-4422-2-200000000000000000000000000000000000000000000000000000000
χ898-88-8-4-400-884-444-4402-2-22000000004-44-4-2-22200000000000000000000000000000000000000000000000000000000
χ908-8-888-400004-8-8-4480-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ918-8-88-480000-8448-8-40-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-40000444-44-402-22-20000000000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000
χ938-8-88-4-40000444-44-402-22-2000000000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000

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