Finite Group Databasebeta

← Group #13180560

Character table — Group #13180560

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122444466688889912121212121212121218181818242424242424363636363636547210811224444666888899121212121212121212181818182424242424243636363636365472108
order1236336624433662226666121212124466666612124412121212212422666666244666622266661212121244666666121244121212122124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-111111111111-1-1-111-1-111-1-11-1-111111111111111111-1-1-111111111111-1-1-111-1-111-1-11-1-1
χ3111111111-1-111111111111-1-1-1-1-1-1111111-1-11-1-1-1-1-111-1111111111-1-111111111111-1-1-1-1-1-1111111-1-11-1-1-1-1-111-1
χ4111111111-1-1111111-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-11-1-1111-11111111111-1-1111111-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-11-1-1111-11
χ511111111-111111111111-1-11111-1-111-111111-11-1-111-1-1-111111111-111111111111-1-11111-1-111-111111-11-1-111-1-1-1
χ611111111-111111111-1-1-1-1-11111-1-111-1-1-1-1111-1-1-1-1-1-11111111111-111111111-1-1-1-1-11111-1-111-1-1-1-1111-1-1-1-1-1-111
χ711111111-1-1-1111111111-1-1-1-1-1-11111-1111-1-1-1-111-1-1-1-1111111111-1-1-1111111111-1-1-1-1-1-11111-1111-1-1-1-111-1-1-1-11
χ811111111-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-111111111-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-1
χ9222222222002222-2-200022000000-2-2200000000000-200222222222002222-2-200022000000-2-2200000000000-200
χ1022222222-2002222-2-2000-2-2000000-2-2-20000000000020022222222-2002222-2-2000-2-2000000-2-2-200000000000200
χ1122-1-12222022-1-1-1-1222-1-100-1-12200-1-102-1-1-1-10200-1-100022-1-12222022-1-1-1-1222-1-100-1-12200-1-102-1-1-1-10200-1-1000
χ1222-1-12222022-1-1-1-122-21100-1-12200-1-10-211-1-10-2001100022-1-12222022-1-1-1-122-21100-1-12200-1-10-211-1-10-20011000
χ1322-1-122220-2-2-1-1-1-1222-1-10011-2-200-1-102-1-1110-2001100022-1-122220-2-2-1-1-1-1222-1-10011-2-200-1-102-1-1110-20011000
χ1422-1-122220-2-2-1-1-1-122-2110011-2-200-1-10-211110200-1-100022-1-122220-2-2-1-1-1-122-2110011-2-200-1-10-211110200-1-1000
χ152-22-222-2-200022-2-22-20000000002i−2i-22000000002i−2i000002-22-222-2-200022-2-22-20000000002i−2i-22000000002i−2i00000
χ162-22-222-2-200022-2-22-2000000000−2i2i-2200000000−2i2i000002-22-222-2-200022-2-22-2000000000−2i2i-2200000000−2i2i00000
χ172-22-222-2-202i−2i22-2-2-22000002i−2i2i−2i002-200002i−2i0000000002-22-222-2-202i−2i22-2-2-22000002i−2i2i−2i002-200002i−2i000000000
χ182-22-222-2-20−2i2i22-2-2-2200000−2i2i−2i2i002-20000−2i2i0000000002-22-222-2-20−2i2i22-2-2-2200000−2i2i−2i2i002-20000−2i2i000000000
χ192-2-1122-2-202i−2i-1-111-220−i3i300−ii2i−2i00-1100−i3i3−ii00003−30002-2-1122-2-202i−2i-1-111-220−i3i300−ii2i−2i00-1100−i3i3−ii00003−3000
χ202-2-1122-2-202i−2i-1-111-220i3−i300−ii2i−2i00-1100i3−i3−ii0000−330002-2-1122-2-202i−2i-1-111-220i3−i300−ii2i−2i00-1100i3−i3−ii0000−33000
χ212-2-1122-2-20−2i2i-1-111-220−i3i300i−i−2i2i00-1100−i3i3i−i0000−330002-2-1122-2-20−2i2i-1-111-220−i3i300i−i−2i2i00-1100−i3i3i−i0000−33000
χ222-2-1122-2-20−2i2i-1-111-220i3−i300i−i−2i2i00-1100i3−i3i−i00003−30002-2-1122-2-20−2i2i-1-111-220i3−i300i−i−2i2i00-1100i3−i3i−i00003−3000
χ2344441-2-214221-2-21000001122-1-12200-2000-1-100-1-10000044441-2-214221-2-21000001122-1-12200-2000-1-100-1-100000
χ2444441-2-214-2-21-2-210000011-2-211-2-200-20001100110000044441-2-214-2-21-2-210000011-2-211-2-200-200011001100000
χ2544441-2-21-4221-2-2100000-1-122-1-1-2-2002000-1-100110000044441-2-21-4221-2-2100000-1-122-1-1-2-2002000-1-1001100000
χ2644441-2-21-4-2-21-2-2100000-1-1-2-211220020001100-1-10000044441-2-21-4-2-21-2-2100000-1-1-2-211220020001100-1-100000
χ274444-211-2400-211-200222-2-2000000001-1-1-1002000000-104444-211-2400-211-200222-2-2000000001-1-1-1002000000-10
χ284444-211-2400-211-200-2-2-2-2-200000000111100-2000000104444-211-2400-211-200-2-2-2-2-200000000111100-200000010
χ294444-211-2-400-211-2002222200000000-1-1-1-100-2000000104444-211-2-400-211-2002222200000000-1-1-1-100-200000010
χ304444-211-2-400-211-200-2-2-22200000000-1111002000000-104444-211-2-400-211-200-2-2-22200000000-1111002000000-10
χ3144-2-24444000-2-2-2-2-4-4000000000002200000000000000044-2-24444000-2-2-2-2-4-40000000000022000000000000000
χ324-44-41-22-102i−2i1-22-1000003-32i−2i−ii2i−2i000000−ii00−ii000004-44-41-22-102i−2i1-22-1000003-32i−2i−ii2i−2i000000−ii00−ii00000
χ334-44-41-22-102i−2i1-22-100000-332i−2i−ii−2i2i000000−ii00i−i000004-44-41-22-102i−2i1-22-100000-332i−2i−ii−2i2i000000−ii00i−i00000
χ344-44-41-22-10−2i2i1-22-1000003-3−2i2ii−i−2i2i000000i−i00i−i000004-44-41-22-10−2i2i1-22-1000003-3−2i2ii−i−2i2i000000i−i00i−i00000
χ354-44-41-22-10−2i2i1-22-100000-33−2i2ii−i2i−2i000000i−i00−ii000004-44-41-22-10−2i2i1-22-100000-33−2i2ii−i2i−2i000000i−i00−ii00000
χ364-4-2244-4-4000-2-2224-4000000000002-20000000000000004-4-2244-4-4000-2-2224-4000000000002-2000000000000000
χ3788-4-42-4-42044-122-10000000-2-2-2-2000000001100000000088-4-42-4-42044-122-10000000-2-2-2-20000000011000000000
χ3888-4-42-4-420-4-4-122-10000000222200000000-1-100000000088-4-42-4-420-4-4-122-10000000222200000000-1-1000000000
χ3988-4-4-422-40002-1-12004-2-200000000000-2110000000000088-4-4-422-40002-1-12004-2-200000000000-21100000000000
χ4088-4-4-422-40002-1-1200-422000000000002-1-10000000000088-4-4-422-40002-1-1200-422000000000002-1-100000000000
χ418-88-8-42-24000-42-240000000000000000000000000000008-88-8-42-24000-42-24000000000000000000000000000000
χ428-8-442-44-204i−4i-12-210000000−2i2i−2i2i00000000i−i0000000008-8-442-44-204i−4i-12-210000000−2i2i−2i2i00000000i−i000000000
χ438-8-442-44-20−4i4i-12-2100000002i−2i2i−2i00000000−ii0000000008-8-442-44-20−4i4i-12-2100000002i−2i2i−2i00000000−ii000000000
χ448-8-44-42-240002-11-2000−2i32i3000000000000i3−i3000000000008-8-44-42-240002-11-2000−2i32i3000000000000i3−i300000000000
χ458-8-44-42-240002-11-20002i3−2i3000000000000−i3i3000000000008-8-44-42-240002-11-20002i3−2i3000000000000−i3i300000000000
χ46111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4711111111111111111-1-1-111111111111-1-1-111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-111
χ48111111111-1-111111111111-1-1-1-1-1-1111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-111111-1-11
χ49111111111-1-1111111-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-11-1-1111-11-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1111111-1-1-1111111-111-1-1-11-1
χ5011111111-111111111111-1-11111-1-111-111111-11-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-1-1-1-1-11-111-1-1111
χ5111111111-111111111-1-1-1-1-11111-1-111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-111-1-11111-1-1-1111111-1-1
χ5211111111-1-1-1111111111-1-1-1-1-1-11111-1111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-11111-1-11111-1
χ5311111111-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-11-11
χ54222222222002222-2-200022000000-2-2200000000000-200-2-2-2-2-2-2-2-2-200-2-2-2-222000-2-200000022-200000000000200
χ5522222222-2002222-2-2000-2-2000000-2-2-200000000000200-2-2-2-2-2-2-2-2200-2-2-2-2220002200000022200000000000-200
χ5622-1-12222022-1-1-1-1222-1-100-1-12200-1-102-1-1-1-10200-1-1000-2-211-2-2-2-20-2-21111-2-2-2110011-2-200110-211110-20011000
χ5722-1-12222022-1-1-1-122-21100-1-12200-1-10-211-1-10-20011000-2-211-2-2-2-20-2-21111-2-22-1-10011-2-2001102-1-1110200-1-1000
χ5822-1-122220-2-2-1-1-1-1222-1-10011-2-200-1-102-1-1110-20011000-2-211-2-2-2-20221111-2-2-21100-1-12200110-211-1-10200-1-1000
χ5922-1-122220-2-2-1-1-1-122-2110011-2-200-1-10-211110200-1-1000-2-211-2-2-2-20221111-2-22-1-100-1-122001102-1-1-1-10-20011000
χ602-22-222-2-200022-2-22-20000000002i−2i-22000000002i−2i00000-22-22-2-222000-2-222-22000000000−2i2i2-200000000−2i2i00000
χ612-22-222-2-200022-2-22-2000000000−2i2i-2200000000−2i2i00000-22-22-2-222000-2-222-220000000002i−2i2-2000000002i−2i00000
χ622-22-222-2-202i−2i22-2-2-22000002i−2i2i−2i002-200002i−2i000000000-22-22-2-2220−2i2i-2-2222-200000−2i2i−2i2i00-220000−2i2i000000000
χ632-22-222-2-20−2i2i22-2-2-2200000−2i2i−2i2i002-20000−2i2i000000000-22-22-2-22202i−2i-2-2222-2000002i−2i2i−2i00-2200002i−2i000000000
χ642-2-1122-2-202i−2i-1-111-220−i3i300−ii2i−2i00-1100−i3i3−ii00003−3000-221-1-2-2220−2i2i11-1-12-20i3−i300i−i−2i2i001-100i3−i3i−i0000−33000
χ652-2-1122-2-202i−2i-1-111-220i3−i300−ii2i−2i00-1100i3−i3−ii0000−33000-221-1-2-2220−2i2i11-1-12-20−i3i300i−i−2i2i001-100−i3i3i−i00003−3000
χ662-2-1122-2-20−2i2i-1-111-220−i3i300i−i−2i2i00-1100−i3i3i−i0000−33000-221-1-2-22202i−2i11-1-12-20i3−i300−ii2i−2i001-100i3−i3−ii00003−3000
χ672-2-1122-2-20−2i2i-1-111-220i3−i300i−i−2i2i00-1100i3−i3i−i00003−3000-221-1-2-22202i−2i11-1-12-20−i3i300−ii2i−2i001-100−i3i3−ii0000−33000
χ6844441-2-214221-2-21000001122-1-12200-2000-1-100-1-100000-4-4-4-4-122-1-4-2-2-122-100000-1-1-2-211-2-200200011001100000
χ6944441-2-214-2-21-2-210000011-2-211-2-200-200011001100000-4-4-4-4-122-1-422-122-100000-1-122-1-122002000-1-100-1-100000
χ7044441-2-21-4221-2-2100000-1-122-1-1-2-2002000-1-1001100000-4-4-4-4-122-14-2-2-122-10000011-2-2112200-20001100-1-100000
χ7144441-2-21-4-2-21-2-2100000-1-1-2-211220020001100-1-100000-4-4-4-4-122-1422-122-1000001122-1-1-2-200-2000-1-1001100000
χ724444-211-2400-211-200222-2-2000000001-1-1-1002000000-10-4-4-4-42-1-12-4002-1-1200-2-2-22200000000-111100-200000010
χ734444-211-2400-211-200-2-2-2-2-200000000111100-200000010-4-4-4-42-1-12-4002-1-12002222200000000-1-1-1-1002000000-10
χ744444-211-2-400-211-2002222200000000-1-1-1-100-200000010-4-4-4-42-1-124002-1-1200-2-2-2-2-2000000001111002000000-10
χ754444-211-2-400-211-200-2-2-22200000000-1111002000000-10-4-4-4-42-1-124002-1-1200222-2-2000000001-1-1-100-200000010
χ7644-2-24444000-2-2-2-2-4-40000000000022000000000000000-4-422-4-4-4-400022224400000000000-2-2000000000000000
χ774-44-41-22-102i−2i1-22-1000003-32i−2i−ii2i−2i000000−ii00−ii00000-44-44-12-210−2i2i-12-2100000-33−2i2ii−i−2i2i000000i−i00i−i00000
χ784-44-41-22-102i−2i1-22-100000-332i−2i−ii−2i2i000000−ii00i−i00000-44-44-12-210−2i2i-12-21000003-3−2i2ii−i2i−2i000000i−i00−ii00000
χ794-44-41-22-10−2i2i1-22-1000003-3−2i2ii−i−2i2i000000i−i00i−i00000-44-44-12-2102i−2i-12-2100000-332i−2i−ii2i−2i000000−ii00−ii00000
χ804-44-41-22-10−2i2i1-22-100000-33−2i2ii−i2i−2i000000i−i00−ii00000-44-44-12-2102i−2i-12-21000003-32i−2i−ii−2i2i000000−ii00i−i00000
χ814-4-2244-4-4000-2-2224-4000000000002-2000000000000000-442-2-4-44400022-2-2-4400000000000-22000000000000000
χ8288-4-42-4-42044-122-10000000-2-2-2-20000000011000000000-8-844-244-20-4-41-2-210000000222200000000-1-1000000000
χ8388-4-42-4-420-4-4-122-10000000222200000000-1-1000000000-8-844-244-20441-2-210000000-2-2-2-20000000011000000000
χ8488-4-4-422-40002-1-12004-2-200000000000-21100000000000-8-8444-2-24000-211-200-422000000000002-1-100000000000
χ8588-4-4-422-40002-1-1200-422000000000002-1-100000000000-8-8444-2-24000-211-2004-2-200000000000-21100000000000
χ868-88-8-42-24000-42-24000000000000000000000000000000-88-884-22-40004-22-4000000000000000000000000000000
χ878-8-442-44-204i−4i-12-210000000−2i2i−2i2i00000000i−i000000000-884-4-24-420−4i4i1-22-100000002i−2i2i−2i00000000−ii000000000
χ888-8-442-44-20−4i4i-12-2100000002i−2i2i−2i00000000−ii000000000-884-4-24-4204i−4i1-22-10000000−2i2i−2i2i00000000i−i000000000
χ898-8-44-42-240002-11-2000−2i32i3000000000000i3−i300000000000-884-44-22-4000-21-120002i3−2i3000000000000−i3i300000000000
χ908-8-44-42-240002-11-20002i3−2i3000000000000−i3i300000000000-884-44-22-4000-21-12000−2i32i3000000000000i3−i300000000000

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