Finite Group Databasebeta

← Group #11922361

Character table — Group #11922361

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111666666888812121111666666888812122222121212121212161616162424222212121212121216161616242433331818181818182424242436363333181818181818242424243636
order12442488883612122422442488886612122436121261224242424361212612661212612242424246612126124444448888121212124444444488881212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1
χ311-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-1
χ411-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-11
χ52222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-100
χ622-2-2-220000-1-1110022-2-2-220000-1-1110022-2-2-220000-1-1110022-2-2-220000-1-1110022-2-2-220000-1-1110022-2-2-220000-1-11100
χ72-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i00
χ82-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i00
χ92-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii00
χ102-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii00
χ113333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-1
χ123333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011
χ1333-3-31-111-1-10000-1133-3-31-111-1-10000-1133-3-31-111-1-10000-1133-3-31-111-1-10000-1133-3-31-111-1-10000-1133-3-31-111-1-10000-11
χ1433-3-31-1-1-11100001-133-3-31-1-1-11100001-133-3-31-1-1-11100001-133-3-31-1-1-11100001-133-3-31-1-1-11100001-133-3-31-1-1-11100001-1
χ154-44i−4i0000001-1−ii004-44i−4i0000001-1−ii004-44i−4i0000001-1−ii004-44i−4i0000001-1−ii004-44i−4i0000001-1−ii004-44i−4i0000001-1−ii00
χ164-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i00
χ171111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ18111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ1911-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-1-1-1111-1-1-111-1-111-11-1-1111-1-1-111-1-111-11
χ2011-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-11-1-1111-111-1-1-1-1111-1-1-1111-111-1-1-1-1111-1
χ212222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-100-2-2-2-2-2-20000111100-2-2-2-2-2-20000111100
χ2222-2-2-220000-1-1110022-2-2-220000-1-1110022-2-2-220000-1-1110022-2-2-220000-1-11100-2-2222-2000011-1-100-2-2222-2000011-1-100
χ232-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i00-22−2i2i00−i2i2−221-1−ii00-22−2i2i00−i2i2−221-1−ii00
χ242-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i00-22−2i2i00i2−i22−21-1−ii00-22−2i2i00i2−i22−21-1−ii00
χ252-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii00-222i−2i00−i2i22−21-1i−i00-222i−2i00−i2i22−21-1i−i00
χ262-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii00-222i−2i00i2−i2−221-1i−i00-222i−2i00i2−i2−221-1i−i00
χ273333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-1-3-3-3-311-1-1-1-1000011-3-3-3-311-1-1-1-1000011
χ283333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011-3-3-3-31111110000-1-1-3-3-3-31111110000-1-1
χ2933-3-31-111-1-10000-1133-3-31-111-1-10000-1133-3-31-111-1-10000-1133-3-31-111-1-10000-11-3-333-11-1-11100001-1-3-333-11-1-11100001-1
χ3033-3-31-1-1-11100001-133-3-31-1-1-11100001-133-3-31-1-1-11100001-133-3-31-1-1-11100001-1-3-333-1111-1-10000-11-3-333-1111-1-10000-11
χ314-44i−4i0000001-1−ii004-44i−4i0000001-1−ii004-44i−4i0000001-1−ii004-44i−4i0000001-1−ii00-44−4i4i000000-11i−i00-44−4i4i000000-11i−i00
χ324-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i00-444i−4i000000-11−ii00-444i−4i000000-11−ii00
χ331111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ34111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111iiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iii
χ3511-1-1-1111-1-111-1-11-1-1-1111-1-1-111-1-111-1111-1-1-1111-1-111-1-11-1-1-1111-1-1-111-1-111-11ii−i−i−iiii−i−iii−i−ii−i−i−iiii−i−i−iii−i−iii−ii
χ3611-1-1-11-1-11111-1-1-11-1-1111-111-1-1-1-1111-111-1-1-11-1-11111-1-1-11-1-1111-111-1-1-1-1111-1ii−i−i−ii−i−iiiii−i−i−ii−i−iiii−iii−i−i−i−iiii−i
χ372222220000-1-1-1-100-2-2-2-2-2-200001111002222220000-1-1-1-100-2-2-2-2-2-200001111002i2i2i2i2i2i0000−i−i−i−i00−2i−2i−2i−2i−2i−2i0000iiii00
χ3822-2-2-220000-1-11100-2-2222-2000011-1-10022-2-2-220000-1-11100-2-2222-2000011-1-1002i2i−2i−2i−2i2i0000−i−iii00−2i−2i2i2i2i−2i0000ii−i−i00
χ392-22i−2i00i2−i22−2-11i−i00-22−2i2i00−i2i2−221-1−ii002-22i−2i00i2−i22−2-11i−i00-22−2i2i00−i2i2−221-1−ii002i−2i-2200−22i2−i2−ii-1100−2i2i2-2002−2−i2i2i−i1-100
χ402-22i−2i00−i2i2−22-11i−i00-22−2i2i00i2−i22−21-1−ii002-22i−2i00−i2i2−22-11i−i00-22−2i2i00i2−i22−21-1−ii002i−2i-22002−2−i2i2−ii-1100−2i2i2-200−22i2−i2i−i1-100
χ412-2−2i2i00i2−i2−22-11−ii00-222i−2i00−i2i22−21-1i−i002-2−2i2i00i2−i2−22-11−ii00-222i−2i00−i2i22−21-1i−i002i−2i2-200−22−i2i2−ii1-100−2i2i-22002−2i2−i2i−i-1100
χ422-2−2i2i00−i2i22−2-11−ii00-222i−2i00i2−i2−221-1i−i002-2−2i2i00−i2i22−2-11−ii00-222i−2i00i2−i2−221-1i−i002i−2i2-2002−2i2−i2−ii1-100−2i2i-2200−22−i2i2i−i-1100
χ433333-1-111110000-1-1-3-3-3-311-1-1-1-10000113333-1-111110000-1-1-3-3-3-311-1-1-1-10000113i3i3i3i−i−iiiii0000−i−i−3i−3i−3i−3iii−i−i−i−i0000ii
χ443333-1-1-1-1-1-1000011-3-3-3-31111110000-1-13333-1-1-1-1-1-1000011-3-3-3-31111110000-1-13i3i3i3i−i−i−i−i−i−i0000ii−3i−3i−3i−3iiiiiii0000−i−i
χ4533-3-31-111-1-10000-11-3-333-11-1-11100001-133-3-31-111-1-10000-11-3-333-11-1-11100001-13i3i−3i−3ii−iii−i−i0000−ii−3i−3i3i3i−ii−i−iii0000i−i
χ4633-3-31-1-1-11100001-1-3-333-1111-1-10000-1133-3-31-1-1-11100001-1-3-333-1111-1-10000-113i3i−3i−3ii−i−i−iii0000i−i−3i−3i3i3i−iiii−i−i0000−ii
χ474-44i−4i0000001-1−ii00-44−4i4i000000-11i−i004-44i−4i0000001-1−ii00-44−4i4i000000-11i−i004i−4i-44000000i−i1-100−4i4i4-4000000−ii-1100
χ484-4−4i4i0000001-1i−i00-444i−4i000000-11−ii004-4−4i4i0000001-1i−i00-444i−4i000000-11−ii004i−4i4-4000000i−i-1100−4i4i-44000000−ii1-100
χ491111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii
χ50111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i
χ5111-1-1-1111-1-111-1-11-1-1-1111-1-1-111-1-111-1111-1-1-1111-1-111-1-11-1-1-1111-1-1-111-1-111-11−i−iiii−i−i−iii−i−iii−iiii−i−i−iiii−i−iii−i−ii−i
χ5211-1-1-11-1-11111-1-1-11-1-1111-111-1-1-1-1111-111-1-1-11-1-11111-1-1-11-1-1111-111-1-1-1-1111-1−i−iiii−iii−i−i−i−iiii−iii−i−i−ii−i−iiiii−i−i−ii
χ532222220000-1-1-1-100-2-2-2-2-2-200001111002222220000-1-1-1-100-2-2-2-2-2-20000111100−2i−2i−2i−2i−2i−2i0000iiii002i2i2i2i2i2i0000−i−i−i−i00
χ5422-2-2-220000-1-11100-2-2222-2000011-1-10022-2-2-220000-1-11100-2-2222-2000011-1-100−2i−2i2i2i2i−2i0000ii−i−i002i2i−2i−2i−2i2i0000−i−iii00
χ552-22i−2i00i2−i22−2-11i−i00-22−2i2i00−i2i2−221-1−ii002-22i−2i00i2−i22−2-11i−i00-22−2i2i00−i2i2−221-1−ii00−2i2i2-2002−2−i2i2i−i1-1002i−2i-2200−22i2−i2−ii-1100
χ562-22i−2i00−i2i2−22-11i−i00-22−2i2i00i2−i22−21-1−ii002-22i−2i00−i2i2−22-11i−i00-22−2i2i00i2−i22−21-1−ii00−2i2i2-200−22i2−i2i−i1-1002i−2i-22002−2−i2i2−ii-1100
χ572-2−2i2i00i2−i2−22-11−ii00-222i−2i00−i2i22−21-1i−i002-2−2i2i00i2−i2−22-11−ii00-222i−2i00−i2i22−21-1i−i00−2i2i-22002−2i2−i2i−i-11002i−2i2-200−22−i2i2−ii1-100
χ582-2−2i2i00−i2i22−2-11−ii00-222i−2i00i2−i2−221-1i−i002-2−2i2i00−i2i22−2-11−ii00-222i−2i00i2−i2−221-1i−i00−2i2i-2200−22−i2i2i−i-11002i−2i2-2002−2i2−i2−ii1-100
χ593333-1-111110000-1-1-3-3-3-311-1-1-1-10000113333-1-111110000-1-1-3-3-3-311-1-1-1-1000011−3i−3i−3i−3iii−i−i−i−i0000ii3i3i3i3i−i−iiiii0000−i−i
χ603333-1-1-1-1-1-1000011-3-3-3-31111110000-1-13333-1-1-1-1-1-1000011-3-3-3-31111110000-1-1−3i−3i−3i−3iiiiiii0000−i−i3i3i3i3i−i−i−i−i−i−i0000ii
χ6133-3-31-111-1-10000-11-3-333-11-1-11100001-133-3-31-111-1-10000-11-3-333-11-1-11100001-1−3i−3i3i3i−ii−i−iii0000i−i3i3i−3i−3ii−iii−i−i0000−ii
χ6233-3-31-1-1-11100001-1-3-333-1111-1-10000-1133-3-31-1-1-11100001-1-3-333-1111-1-10000-11−3i−3i3i3i−iiii−i−i0000−ii3i3i−3i−3ii−i−i−iii0000i−i
χ634-44i−4i0000001-1−ii00-44−4i4i000000-11i−i004-44i−4i0000001-1−ii00-44−4i4i000000-11i−i00−4i4i4-4000000−ii-11004i−4i-44000000i−i1-100
χ644-4−4i4i0000001-1i−i00-444i−4i000000-11−ii004-4−4i4i0000001-1i−i00-444i−4i000000-11−ii00−4i4i-44000000−ii1-1004i−4i4-4000000i−i-1100
χ6522222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ66222222-2-2-2-22222-2-2222222-2-2-2-22222-2-2-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11100000000000000000000000000000000
χ6722-2-2-2222-2-222-2-22-222-2-2-2222-2-222-2-22-2-1-1111-1-1-111-1-111-11-1-1111-1-1-111-1-111-1100000000000000000000000000000000
χ6822-2-2-22-2-22222-2-2-2222-2-2-22-2-22222-2-2-22-1-1111-111-1-1-1-1111-1-1-1111-111-1-1-1-1111-100000000000000000000000000000000
χ694444440000-2-2-2-2004444440000-2-2-2-200-2-2-2-2-2-20000111100-2-2-2-2-2-2000011110000000000000000000000000000000000
χ7044-4-4-440000-2-2220044-4-4-440000-2-22200-2-2222-2000011-1-100-2-2222-2000011-1-10000000000000000000000000000000000
χ714-44i−4i002i2−2i222−22-222i−2i004-44i−4i002i2−2i222−22-222i−2i00-22−2i2i00−i2i2−221-1−ii00-22−2i2i00−i2i2−221-1−ii0000000000000000000000000000000000
χ724-44i−4i00−2i22i2−2222-222i−2i004-44i−4i00−2i22i2−2222-222i−2i00-22−2i2i00i2−i22−21-1−ii00-22−2i2i00i2−i22−21-1−ii0000000000000000000000000000000000
χ734-4−4i4i002i2−2i2−2222-22−2i2i004-4−4i4i002i2−2i2−2222-22−2i2i00-222i−2i00−i2i22−21-1i−i00-222i−2i00−i2i22−21-1i−i0000000000000000000000000000000000
χ744-4−4i4i00−2i22i222−22-22−2i2i004-4−4i4i00−2i22i222−22-22−2i2i00-222i−2i00i2−i2−221-1i−i00-222i−2i00i2−i2−221-1i−i0000000000000000000000000000000000
χ756666-2-222220000-2-26666-2-222220000-2-2-3-3-3-311-1-1-1-1000011-3-3-3-311-1-1-1-100001100000000000000000000000000000000
χ766666-2-2-2-2-2-20000226666-2-2-2-2-2-2000022-3-3-3-31111110000-1-1-3-3-3-31111110000-1-100000000000000000000000000000000
χ7766-6-62-222-2-20000-2266-6-62-222-2-20000-22-3-333-11-1-11100001-1-3-333-11-1-11100001-100000000000000000000000000000000
χ7866-6-62-2-2-22200002-266-6-62-2-2-22200002-2-3-333-1111-1-10000-11-3-333-1111-1-10000-1100000000000000000000000000000000
χ798-88i−8i0000002-2−2i2i008-88i−8i0000002-2−2i2i00-44−4i4i000000-11i−i00-44−4i4i000000-11i−i0000000000000000000000000000000000
χ808-8−8i8i0000002-22i−2i008-8−8i8i0000002-22i−2i00-444i−4i000000-11−ii00-444i−4i000000-11−ii0000000000000000000000000000000000
χ812222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000000000
χ82222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-222-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-100000000000000000000000000000000
χ8322-2-2-2222-2-222-2-22-2-2-2222-2-2-222-2-222-22-1-1111-1-1-111-1-111-1111-1-1-1111-1-111-1-11-100000000000000000000000000000000
χ8422-2-2-22-2-22222-2-2-22-2-2222-222-2-2-2-2222-2-1-1111-111-1-1-1-1111-111-1-1-11-1-11111-1-1-1100000000000000000000000000000000
χ854444440000-2-2-2-200-4-4-4-4-4-40000222200-2-2-2-2-2-200001111002222220000-1-1-1-10000000000000000000000000000000000
χ8644-4-4-440000-2-22200-4-4444-4000022-2-200-2-2222-2000011-1-10022-2-2-220000-1-1110000000000000000000000000000000000
χ874-44i−4i002i2−2i222−22-222i−2i00-44−4i4i00−2i22i2−22222-2−2i2i00-22−2i2i00−i2i2−221-1−ii002-22i−2i00i2−i22−2-11i−i0000000000000000000000000000000000
χ884-44i−4i00−2i22i2−2222-222i−2i00-44−4i4i002i2−2i222−222-2−2i2i00-22−2i2i00i2−i22−21-1−ii002-22i−2i00−i2i2−22-11i−i0000000000000000000000000000000000
χ894-4−4i4i002i2−2i2−2222-22−2i2i00-444i−4i00−2i22i222−222-22i−2i00-222i−2i00−i2i22−21-1i−i002-2−2i2i00i2−i2−22-11−ii0000000000000000000000000000000000
χ904-4−4i4i00−2i22i222−22-22−2i2i00-444i−4i002i2−2i2−22222-22i−2i00-222i−2i00i2−i2−221-1i−i002-2−2i2i00−i2i22−2-11−ii0000000000000000000000000000000000
χ916666-2-222220000-2-2-6-6-6-622-2-2-2-2000022-3-3-3-311-1-1-1-10000113333-1-111110000-1-100000000000000000000000000000000
χ926666-2-2-2-2-2-2000022-6-6-6-62222220000-2-2-3-3-3-31111110000-1-13333-1-1-1-1-1-100001100000000000000000000000000000000
χ9366-6-62-222-2-20000-22-6-666-22-2-22200002-2-3-333-11-1-11100001-133-3-31-111-1-10000-1100000000000000000000000000000000
χ9466-6-62-2-2-22200002-2-6-666-2222-2-20000-22-3-333-1111-1-10000-1133-3-31-1-1-11100001-100000000000000000000000000000000
χ958-88i−8i0000002-2−2i2i00-88−8i8i000000-222i−2i00-44−4i4i000000-11i−i004-44i−4i0000001-1−ii0000000000000000000000000000000000
χ968-8−8i8i0000002-22i−2i00-888i−8i000000-22−2i2i00-444i−4i000000-11−ii004-4−4i4i0000001-1i−i0000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).