Finite Group Databasebeta

← Group #11888032

Character table — Group #11888032

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222444444444444444444444888888888888888888888812121212181818181818181824242424242424242424242424243636363648484848
order1222334444666666236668888121212121212121212121212666612122424242424242424242424242424242422444444888844444466121212121212248812121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-111-1-1-1-111-1-1-1-11-1-11
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-1-1-111-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ5111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111111111-1-111-1-1-1-1
χ6111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1111-1-1-1-11111-1-1-111-1
χ7111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11-1-1-11111-1-111-1-11-1-11
χ8111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-1-1-1-1-1-1-1-1-1111111
χ9111111-1-111111111-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-11-11-11111-1-1-1-1-11-1-1-1-111
χ10111111-1-111111111-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11-1-11111-1-111-1-11-111-11-11
χ11111111-1-111111111-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11-111-1-1-1-111-1-1111-1111-11-1
χ12111111-1-111111111-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-11-11-1-1-1-11111-11-1-111-1-1
χ13111111-1-111111111-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111-1-1-1-111111-1-1-1-11-1-1-111-1-1
χ14111111-1-111111111-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1111-1-1-111-1-111-1-1-11111-11-1
χ15111111-1-111111111-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1111-1-111-1-111-1111-11-11
χ16111111-1-111111111-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-11111-1-1-1-1-111111-1-1-1-1-111
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
χ2122222-12222-12-122-12-1-1-1-1222222-1-122-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1220000000000200220-1-10000-1-10000-100-1
χ2222222-12222-12-122-12-1-1-1-1222222-1-122-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-20000000000-200-2-201100001100001001
χ2322222-12222-12-122-12-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-12-1-1-1-1-1-2-2111111-2-2111111220000000000-2002-20-1-10000-1-100001001
χ2422222-12222-12-122-12-1-1-1-1-2-2-2-222-1-122-1-1-1-1-1-12-1-1-1-1-1-2-2111111-2-2111111-2-20000000000200-220110000110000-100-1
χ2522222-1-2-222-12-122-1-2-1-1-1-122-2-2-2-21122-1-1-1-1-1-1-21111122-1-1-1-1-1-1-2-2111111220000000000-200-220-1-10000110000100-1
χ2622222-1-2-222-12-122-1-2-1-1-1-122-2-2-2-21122-1-1-1-1-1-1-21111122-1-1-1-1-1-1-2-2111111-2-200000000002002-20110000-1-10000-1001
χ2722222-1-2-222-12-122-1-2-1-1-1-1-2-222-2-21122-1-1-1-1-1-1-211111-2-211111122-1-1-1-1-1-1220000000000200-2-20-1-10000110000-1001
χ2822222-1-2-222-12-122-1-2-1-1-1-1-2-222-2-21122-1-1-1-1-1-1-211111-2-211111122-1-1-1-1-1-1-2-20000000000-200220110000-1-10000100-1
χ292222-1222222-12-1-122-1-1-1-12222-1-122-1-122-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100220000000002200200-1-1-1-10000000-1-10
χ302222-1222222-12-1-122-1-1-1-12222-1-122-1-122-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100-2-2000000000-2-200-20011110000000110
χ312222-1222222-12-1-122-1-1-1-1-2-2-2-2-1-122-1-122-1-1-1-1-12-1-1-1-111-2-2111111-2-2111100220000000002-200-200-1-1-1-10000000110
χ322222-1222222-12-1-122-1-1-1-1-2-2-2-2-1-122-1-122-1-1-1-1-12-1-1-1-111-2-2111111-2-2111100-2-2000000000-220020011110000000-1-10
χ332222-12-2-2222-12-1-12-2-1-1-1-122-2-211-2-2-1-122-1-1-1-11-21111-1-122-1-1-1-111-2-211110022000000000-2200-200-1-11100000001-10
χ342222-12-2-2222-12-1-12-2-1-1-1-122-2-211-2-2-1-122-1-1-1-11-21111-1-122-1-1-1-111-2-2111100-2-20000000002-20020011-1-10000000-110
χ352222-12-2-2222-12-1-12-2-1-1-1-1-2-22211-2-2-1-122-1-1-1-11-2111111-2-21111-1-122-1-1-1-10022000000000-2-200200-1-1110000000-110
χ362222-12-2-2222-12-1-12-2-1-1-1-1-2-22211-2-2-1-122-1-1-1-11-2111111-2-21111-1-122-1-1-1-100-2-20000000002200-20011-1-100000001-10
χ372-22-2222i−2i00-2-22-22-2022-2-2−i2i22−22i−2i2i−2i0000000000002i−2i−i2i2−i2i2−i2−i2i2i22−22−222−2−200002-22i−2i−i2−i2i2i200000000000000002−20000
χ382-22-2222i−2i00-2-22-22-2022-2-2−i2i22−22i−2i2i−2i0000000000002i−2i−i2i2−i2i2−i2−i2i2i22−22−222−2−20000-22−2i2ii2i2−i2−i20000000000000000−220000
χ392-22-2222i−2i00-2-22-22-2022-2-2i2−i2−222i−2i2i−2i0000000000002i−2ii2−i2i2−i2i2i2−i2−i2−22−22−2−22200002-22i−2ii2i2−i2−i20000000000000000−220000
χ402-22-2222i−2i00-2-22-22-2022-2-2i2−i2−222i−2i2i−2i0000000000002i−2ii2−i2i2−i2i2i2−i2−i2−22−22−2−2220000-22−2i2i−i2−i2i2i200000000000000002−20000
χ412-22-222−2i2i00-2-22-22-2022-2-2−i2i2−22−2i2i−2i2i000000000000−2i2i−i2i2−i2i2−i2−i2i2i2−22−22−2−22200002-2−2i2i−i2−i2i2i20000000000000000−220000
χ422-22-222−2i2i00-2-22-22-2022-2-2−i2i2−22−2i2i−2i2i000000000000−2i2i−i2i2−i2i2−i2−i2i2i2−22−22−2−2220000-222i−2ii2i2−i2−i200000000000000002−20000
χ432-22-222−2i2i00-2-22-22-2022-2-2i2−i22−2−2i2i−2i2i000000000000−2i2ii2−i2i2−i2i2i2−i2−i22−22−222−2−200002-2−2i2ii2i2−i2−i200000000000000002−20000
χ442-22-222−2i2i00-2-22-22-2022-2-2i2−i22−2−2i2i−2i2i000000000000−2i2ii2−i2i2−i2i2i2−i2−i22−22−222−2−20000-222i−2i−i2−i2i2i20000000000000000−220000
χ452-2-2222002-2-2-2-22-2202-2-22000000002-22-222-2-200000000000000000000002-22i−2i00002i−2i2i−2i0000002-22i−2i000000000000
χ462-2-2222002-2-2-2-22-2202-2-22000000002-22-222-2-200000000000000000000002-2−2i2i0000−2i2i−2i2i0000002-2−2i2i000000000000
χ472-2-2222002-2-2-2-22-2202-2-22000000002-22-222-2-20000000000000000000000-222i−2i0000−2i2i−2i2i000000-222i−2i000000000000
χ482-2-2222002-2-2-2-22-2202-2-22000000002-22-222-2-20000000000000000000000-22−2i2i00002i−2i2i−2i000000-22−2i2i000000000000
χ4944444-244-4-4-24-244-2-4-2-2-2-2000044-2-2-4-4222222-4222-2-200000000000000000000000000000000000000000000000000
χ5044444-2-4-4-4-4-24-244-24-2-2-2-20000-4-422-4-42222224-2-2-22200000000000000000000000000000000000000000000000000
χ514444-2444-4-44-24-2-24-4-2-2-2-20000-2-24422-4-422222-422-2-200000000000000000000000000000000000000000000000000
χ524444-24-4-4-4-44-24-2-244-2-2-2-2000022-4-422-4-42222-24-2-22200000000000000000000000000000000000000000000000000
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
χ6144-4-444000044-4-4-4-404-44-4000000000000000000000000000000000000000000000022−22−22220000000000000000000000
χ6244-4-444000044-4-4-4-404-44-40000000000000000000000000000000000000000000000−222222−220000000000000000000000
χ634-44-44-24i−4i002-4-2-4420-2-222−2i22i222−224i−4i−2i2i000000000000−2i2i−2i22i2i2−i2i2i2−i2−i222−22−22−2−2220000000000000000000000000000000000
χ644-44-44-24i−4i002-4-2-4420-2-2222i2−2i2−22224i−4i−2i2i000000000000−2i2i2i2−2i2−i2i2−i2−i2i2i2−22222−222−2−20000000000000000000000000000000000
χ654-44-44-2−4i4i002-4-2-4420-2-222−2i22i2−2222−4i4i2i−2i0000000000002i−2i−2i22i2i2−i2i2i2−i2−i2−22222−222−2−20000000000000000000000000000000000
χ664-44-44-2−4i4i002-4-2-4420-2-2222i2−2i222−22−4i4i2i−2i0000000000002i−2i2i2−2i2−i2i2−i2−i2i2i222−22−22−2−2220000000000000000000000000000000000
χ674-44-4-244i−4i00-4242-2-40-2-222−2i22i222−22−2i2i4i−4i000000000000−2i2ii2−i2−2i22i2i2i2−i2−i2−2222−22−2−2220000000000000000000000000000000000
χ684-44-4-244i−4i00-4242-2-40-2-2222i2−2i2−2222−2i2i4i−4i000000000000−2i2i−i2i22i2−2i2−i2−i2i2i22−2−222222−2−20000000000000000000000000000000000
χ694-44-4-24−4i4i00-4242-2-40-2-222−2i22i2−22222i−2i−4i4i0000000000002i−2ii2−i2−2i22i2i2i2−i2−i22−2−222222−2−20000000000000000000000000000000000
χ704-44-4-24−4i4i00-4242-2-40-2-2222i2−2i222−222i−2i−4i4i0000000000002i−2i−i2i22i2−2i2−i2−i2i2i2−2222−22−2−2220000000000000000000000000000000000
χ714-44-4-2-24i−4i0022-22-22011-1-1−2i22i222−22−2i2i−2i2i00003i−3i3i−3i003-3i−ii2−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
χ724-44-4-2-24i−4i0022-22-22011-1-1−2i22i222−22−2i2i−2i2i0000−3i3i−3i3i00-33i−ii2−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
χ734-44-4-2-24i−4i0022-22-22011-1-12i2−2i2−2222−2i2i−2i2i00003i−3i3i−3i003-3i−i−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
χ744-44-4-2-24i−4i0022-22-22011-1-12i2−2i2−2222−2i2i−2i2i0000−3i3i−3i3i00-33i−i−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
χ754-44-4-2-2−4i4i0022-22-22011-1-1−2i22i2−22222i−2i2i−2i00003i−3i3i−3i00-33−iii2−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
χ764-44-4-2-2−4i4i0022-22-22011-1-1−2i22i2−22222i−2i2i−2i0000−3i3i−3i3i003-3−iii2−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
χ774-44-4-2-2−4i4i0022-22-22011-1-12i2−2i222−222i−2i2i−2i00003i−3i3i−3i00-33−ii−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
χ784-44-4-2-2−4i4i0022-22-22011-1-12i2−2i222−222i−2i2i−2i0000−3i3i−3i3i003-3−ii−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
χ794-4-444400-44-4-4-44-4404-4-4400000000-44-44-4-44400000000000000000000000000000000000000000000000000000000
χ804-4-444-2004-42-424-4-20-222-2000000004-4-22-2-22200000000000000000000004-40000000000000000-2200000000000000
χ814-4-444-2004-42-424-4-20-222-2000000004-4-22-2-2220000000000000000000000-4400000000000000002-200000000000000
χ824-4-444-200-442-424-4-20-222-200000000-442-222-2-20000000000000000000000000000000000000000000000−2i32i300000000
χ834-4-444-200-442-424-4-20-222-200000000-442-222-2-200000000000000000000000000000000000000000000002i3−2i300000000
χ844-4-44-24004-4-42-4-2240-222-200000000-224-4-2-2220000000000000000000000004i−4i0000000000000000−2i2i000000000000
χ854-4-44-24004-4-42-4-2240-222-200000000-224-4-2-222000000000000000000000000−4i4i00000000000000002i−2i000000000000
χ864-4-44-2400-44-42-4-2240-222-2000000002-2-4422-2-20000000000000000000000000000000000000000000023−230000000000
χ874-4-44-2400-44-42-4-2240-222-2000000002-2-4422-2-200000000000000000000000000000000000000000000−23230000000000
χ8888-8-88-40000-484-8-840-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4800008-4-844-80-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-40000-4-4444402-22-20000000000006i−6i−6i6i00000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-40000-4-4444402-22-2000000000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000000
χ928-8-88-4-4008-8444-44-402-2-2200000000-44-4422-2-200000000000000000000000000000000000000000000000000000000
χ938-8-88-4-400-88444-44-402-2-22000000004-44-4-2-22200000000000000000000000000000000000000000000000000000000

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