Finite Group Databasebeta

← Group #13170570

Character table — Group #13170570

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
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χ3111111111111111111111111111-1111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1111111111111111111111111111-1111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1
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
χ51111111111111111111111111-1-111-111-1-1-1-1-111-1-111111-111-1-1-111-1-1-11111111111111111111111111-1-111-111-1-1-1-1-111-1-111111-111-1-1-111-1-1-1
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χ8222-1222-122-12-1-1-122-12-1-1-1-12-1-100-2202200000-2-2001-211-10-1-100011000-2-21-2-2-21-2-21-2111-2-21-21111-211002-20-2-2000002200-12-1-11011000-1-1000
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χ852-22220-2-2-2222-2-2-20002-2000002-2000000002-2i2−i2i2−i200000000000i2−i2i2−i20-22-2-2-20222-2-2-2222000-2200000-2200000000-22−i2i2−i2i200000000000−i2i2−i2i20
χ862-22220-2-2-2222-2-2-20002-200000-2200000000-22−i2i2i2−i200000000000−i2i2i2−i20-22-2-2-20222-2-2-2222000-22000002-2000000002-2i2−i2−i2i200000000000i2−i2−i2i20
χ872-22220-2-2-2222-2-2-20002-200000-2200000000-22i2−i2−i2i200000000000i2−i2−i2i20-22-2-2-20222-2-2-2222000-22000002-2000000002-2−i2i2i2−i200000000000−i2i2i2−i20
χ88444-24-44-244-2-2-24-2-4-42-2-22-422200000000000000000000000000000000-4-4-42-44-42-4-4222-4244-222-24-2-2-200000000000000000000000000000000
χ89444-2-244-2-2-21-2-2-21-24-211-2-21110000400-2-2000000000000-20011000000-4-4-422-4-4222-1222-12-42-1-122-1-1-10000-40022000000000000200-1-1000000
χ90444-2-244-2-2-21-2-2-21-24-211-2-21110000-40022000000000000200-1-1000000-4-4-422-4-4222-1222-12-42-1-122-1-1-10000400-2-2000000000000-20011000000
χ91444-2-2-44-2-2-21-2-2-212-421122-1-1-10000000−2i32i3000000000000000i3−i3000000-4-4-4224-4222-1222-1-24-2-1-1-2-211100000002i3−2i3000000000000000−i3i3000000
χ92444-2-2-44-2-2-21-2-2-212-421122-1-1-100000002i3−2i3000000000000000−i3i3000000-4-4-4224-4222-1222-1-24-2-1-1-2-21110000000−2i32i3000000000000000i3−i3000000
χ9344-244-4-244-24-2-2-24-42-4-2-222-42200000000000000000000000000000000-4-42-4-442-4-42-4222-44-2422-2-24-2-200000000000000000000000000000000
χ9444-24-24-24-21-2-2-21-2-2-2411-21-21100040-2-20000000000000-201100000000-4-42-42-42-42-1222-1222-4-1-12-12-1-1000-4022000000000000020-1-100000000
χ9544-24-24-24-21-2-2-21-2-2-2411-21-211000-4022000000000000020-1-100000000-4-42-42-42-42-1222-1222-4-1-12-12-1-100040-2-20000000000000-201100000000
χ9644-24-2-4-24-21-2-2-21-222-4112-12-1-100000−2i32i3000000000000000i3−i300000000-4-42-4242-42-1222-12-2-24-1-1-21-211000002i3−2i3000000000000000−i3i300000000
χ9744-24-2-4-24-21-2-2-21-222-4112-12-1-1000002i3−2i3000000000000000−i3i300000000-4-42-4242-42-1222-12-2-24-1-1-21-21100000−2i32i3000000000000000i3−i300000000
χ9844-2-244-2-24-2-211-2-24-2-2111-2-2110040000000000000-2-211000000000000-4-422-4-422-422-1-122-422-1-1-122-1-100-4000000000000022-1-1000000000000
χ9944-2-244-2-24-2-211-2-24-2-2111-2-21100-4000000000000022-1-1000000000000-4-422-4-422-422-1-122-422-1-1-122-1-10040000000000000-2-211000000000000
χ10044-2-24-4-2-24-2-211-2-2-42211-122-1-10000000000000000003-3000000000000-4-422-4422-422-1-1224-2-2-1-11-2-211000000000000000000-33000000000000
χ10144-2-24-4-2-24-2-211-2-2-42211-122-1-1000000000000000000-33000000000000-4-422-4422-422-1-1224-2-2-1-11-2-2110000000000000000003-3000000000000
χ1024-444-20-4-42-2-24-422000-22000004-400000000-2200000000000000000000-44-4-42044-222-44-2-20002-200000-44000000002-200000000000000000000
χ1034-444-20-4-42-2-24-422000-2200000-44000000002-200000000000000000000-44-4-42044-222-44-2-20002-2000004-400000000-2200000000000000000000
χ1044-44-240-42-44-2-22-42000-220000000000000000000−2i22i20000000000000i2−i20-44-42-404-24-422-24-20002-200000000000000000002i2−2i20000000000000−i2i20
χ1054-44-240-42-44-2-22-42000-2200000000000000000002i2−2i20000000000000−i2i20-44-42-404-24-422-24-20002-20000000000000000000−2i22i20000000000000i2−i20
χ1064-4-24402-4-4-24-222-4000-2200000000000000000−2i22i20000000000000i2−i2000-442-4-40-2442-42-2-240002-2000000000000000002i2−2i20000000000000−i2i2000
χ1074-4-24402-4-4-24-222-4000-22000000000000000002i2−2i20000000000000−i2i2000-442-4-40-2442-42-2-240002-200000000000000000−2i22i20000000000000i2−i2000
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
χ1108-88-4-40-844-42-444-20002-20000000000000000000000000000000000000-88-84408-4-44-24-4-42000-220000000000000000000000000000000000000
χ1118-8-48-404-842-4-44-240002-20000000000000000000000000000000000000-884-840-48-4-244-42-4000-220000000000000000000000000000000000000
χ1128-8-4-48044-8-4-42-2440002-20000000000000000000000000000000000000-8844-80-4-4844-22-4-4000-220000000000000000000000000000000000000
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).