Finite Group Databasebeta

← Group #13170615

Character table — Group #13170615

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
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order12333466633366612121236121212121244224661212288881212666666612121262424242442266646666666661212126612121212124422466121228888121266666661212126242424244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ3111111111111111111111111111-11-1-1-1-1-11-1-1-1-1111-11-1-111-1-1-11-1-1-1-11111111111111111111111111111-11-1-1-1-1-11-1-1-1-1111-11-1-111-1-1-11-1-1-1-11
χ4111111111111111111111111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111-1111111111111111111111111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111-1
χ51111111111111111111111111-1-111-111-1-1-111-1-1-1-11111111-1-1-1-111-1-1-11111111111111111111111111-1-111-111-1-1-111-1-1-1-11111111-1-1-1-111-1-1-1
χ61111111111111111111111111-1-11-1-111-1-1-1-1-111-1-1-11-111-1-1-1-1-1-1-1-11111111111111111111111111111-1-11-1-111-1-1-1-1-111-1-1-11-111-1-1-1-1-1-1-1-1111
χ71111111111111111111111111-1-1-111-1-111-1-1-111-1-11-11-1-111111-1-1-111-11111111111111111111111111-1-1-111-1-111-1-1-111-1-11-11-1-111111-1-1-111-1
χ81111111111111111111111111-1-1-1-11-1-111-111-1-1-1-1-1-1-1-1-1-1-1111-111-1-111111111111111111111111111-1-1-1-11-1-111-111-1-1-1-1-1-1-1-1-1-1-1111-111-1-11
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χ591111111111111111111111111111-1111111-1-1-1-111-11-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11-11-1-111-1-1-1-111111
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χ8022-12222-12-1-12-12-122-1-1-1-12-1-1-10002200220002200-10200-1-1-1-1-1000-1-10-2-21-2-2-2-21-211-21-21-2-21111-2111000-2-200-2-2000-2-20010-20011111000110
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χ8222-12222-12-1-12-12-122-1-1-1-12-1-1-1000-220022000-2-20010-20011-1-1-1000110-2-21-2-2-2-21-211-21-21-2-21111-21110002-200-2-20002200-10200-1-1111000-1-10
χ8322-12222-12-1-12-12-122-1-1-1-12-1-1-1000-2-200-2-2000220010-20011111000-1-10-2-21-2-2-2-21-211-21-21-2-21111-2111000220022000-2-200-10200-1-1-1-1-1000110
χ842-22220-2-2-2222-2-2-20002-2000002i−2i000000002−2−i2i22i−2i000000000002−2−i2i20-22-2-2-20222-2-2-2222000-2200000−2i2i00000000−22i2−i2−2i2i00000000000−22i2−i20
χ852-22220-2-2-2222-2-2-20002-2000002i−2i00000000−22i2−i22i−2i00000000000−22i2−i20-22-2-2-20222-2-2-2222000-2200000−2i2i000000002−2−i2i2−2i2i000000000002−2−i2i20
χ862-22220-2-2-2222-2-2-20002-200000−2i2i000000002−2i2−i2−2i2i000000000002−2i2−i20-22-2-2-20222-2-2-2222000-22000002i−2i00000000−22−i2i22i−2i00000000000−22−i2i20
χ872-22220-2-2-2222-2-2-20002-200000−2i2i00000000−22−i2i2−2i2i00000000000−22−i2i20-22-2-2-20222-2-2-2222000-22000002i−2i000000002−2i2−i22i−2i000000000002−2i2−i20
χ88444-24-4-2444-2-2-2-24-42-4-2-222-42200000000000000000000000000000000-4-4-42-442-4-4-42222-44-2422-2-24-2-200000000000000000000000000000000
χ89444-2-24-24-2-2-21-21-2-2-2411-21-21100400-2-20000000000-201100000000000-4-4-422-42-4222-12-1222-4-1-12-12-1-100-40022000000000020-1-100000000000
χ90444-2-24-24-2-2-21-21-2-2-2411-21-21100-40022000000000020-1-100000000000-4-4-422-42-4222-12-1222-4-1-12-12-1-100400-2-20000000000-201100000000000
χ91444-2-2-4-24-2-2-21-21-222-4112-12-1-100000−2i32i3000000000000i3−i300000000000-4-4-42242-4222-12-12-2-24-1-1-21-211000002i3−2i3000000000000−i3i300000000000
χ92444-2-2-4-24-2-2-21-21-222-4112-12-1-1000002i3−2i3000000000000−i3i300000000000-4-4-42242-4222-12-12-2-24-1-1-21-21100000−2i32i3000000000000i3−i300000000000
χ9344-244-44-24-2-24-24-2-4-42-2-22-422200000000000000000000000000000000-4-42-4-44-42-422-42-4244-222-24-2-2-200000000000000000000000000000000
χ9444-24-244-2-21-2-2-2-21-24-211-2-21110000400-2-200000000000000-211000000-4-42-42-4-422-12222-12-42-1-122-1-1-10000-40022000000000000002-1-1000000
χ9544-24-244-2-21-2-2-2-21-24-211-2-21110000-40022000000000000002-1-1000000-4-42-42-4-422-12222-12-42-1-122-1-1-10000400-2-200000000000000-211000000
χ9644-24-2-44-2-21-2-2-2-212-421122-1-1-10000000−2i32i3000000000000000i3−i3000000-4-42-424-422-12222-1-24-2-1-1-2-211100000002i3−2i3000000000000000−i3i3000000
χ9744-24-2-44-2-21-2-2-2-212-421122-1-1-100000002i3−2i3000000000000000−i3i3000000-4-42-424-422-12222-1-24-2-1-1-2-21110000000−2i32i3000000000000000i3−i3000000
χ9844-2-244-2-24-21-21-2-24-2-2111-2-2110004000000000000-20-20011000000000-4-422-4-422-42-12-122-422-1-1-122-1-1000-400000000000020200-1-1000000000
χ9944-2-244-2-24-21-21-2-24-2-2111-2-211000-400000000000020200-1-1000000000-4-422-4-422-42-12-122-422-1-1-122-1-10004000000000000-20-20011000000000
χ10044-2-24-4-2-24-21-21-2-2-42211-122-1-10000000000000000000003-3000000000-4-422-4422-42-12-1224-2-2-1-11-2-211000000000000000000000-33000000000
χ10144-2-24-4-2-24-21-21-2-2-42211-122-1-1000000000000000000000-33000000000-4-422-4422-42-12-1224-2-2-1-11-2-2110000000000000000000003-3000000000
χ1024-444-20-4-42-24-2-422000-22000004i−4i000000000000−2i2i0000000000000000-44-4-42044-22-424-2-20002-200000−4i4i0000000000002i−2i0000000000000000
χ1034-444-20-4-42-24-2-422000-2200000−4i4i0000000000002i−2i0000000000000000-44-4-42044-22-424-2-20002-2000004i−4i000000000000−2i2i0000000000000000
χ1044-44-2402-4-44-2-222-4000-2200000000000000022−22000000000000000−22000-44-42-40-244-422-2-240002-2000000000000000−22220000000000000002−2000
χ1054-44-2402-4-44-2-222-4000-22000000000000000−22220000000000000002−2000-44-42-40-244-422-2-240002-200000000000000022−22000000000000000−22000
χ1064-4-2440-42-4-2-242-42000-2200000000000000000−2i22i2000000000000000i2−i20-442-4-404-2422-4-24-20002-2000000000000000002i2−2i2000000000000000−i2i20
χ1074-4-2440-42-4-2-242-42000-22000000000000000002i2−2i2000000000000000−i2i20-442-4-404-2422-4-24-20002-200000000000000000−2i22i2000000000000000i2−i20
χ10888-4-4-48-4-4-4222222-4-4-4-1-1222-1-100000000000000000000000000000000-8-8444-8444-2-2-2-2-2-244411-2-2-21100000000000000000000000000000000
χ10988-4-4-4-8-4-4-4222222444-1-1-2-2-21100000000000000000000000000000000-8-84448444-2-2-2-2-2-2-4-4-411222-1-100000000000000000000000000000000
χ1108-88-4-404-84-4-424-240002-20000000000000000000000000000000000000-88-8440-48-444-2-42-4000-220000000000000000000000000000000000000
χ1118-8-48-40-8442-4-444-20002-20000000000000000000000000000000000000-884-8408-4-4-244-4-42000-220000000000000000000000000000000000000
χ1128-8-4-48044-8-42-4-2440002-20000000000000000000000000000000000000-8844-80-4-484-242-4-4000-220000000000000000000000000000000000000
χ1138-8-4-4-40444222-2-2-2000-1100033−3300000000000000000000000000000000-884440-4-4-4-2-2-22220001-1000−333300000000000000000000000000000000
χ1148-8-4-4-40444222-2-2-2000-11000−333300000000000000000000000000000000-884440-4-4-4-2-2-22220001-100033−3300000000000000000000000000000000

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