Finite Group Databasebeta

← Group #13170607

Character table — Group #13170607

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size112222222334444444444466666888888121212121212121212121212181824242424242436363636363636365454112222222334444444444466666888888121212121212121212121212181824242424242436363636363636365454
order123334666443336661212121212212121212361212121224666666121212128866612121224661212242488226664666446666661212121212212121212661212121224666666121212128866612121224661212242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1111111-1-111-1-1111-1-1-1-11-1-111-1-1-1-11111111111111111111111111111111111-1111111-1-111-1-1111-1-1-1-11-1-111-1-1-1-1
χ3111111111111111111111111111111111-111-1-11111111-1-1-1-1-11111-111-1-1-1-1-1-1111111111111111111111111111111111-111-1-11111111-1-1-1-1-11111-111-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-111111111111-1-1-1-1-111111111-111-1-1-111-1-111111111-1-1-1-1-1-111-1-1111111111-1-111111111111-1-1-1-1-111111111-111-1-1-111-1-111111111-1-1-1-1-1-111-1-1
χ6111111111-1-111111111111-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1111-1-1-11-111-1-1-1-111111111111-1-111111111111-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1111-1-1-11-111-1-1-1-111
χ7111111111-1-111111111111-1-1-1-1-1111111-11-1-1-1-1-1-111-1-1-1-1-1-1-1111-11-1-111-1-111111111111-1-111111111111-1-1-1-1-1111111-11-1-1-1-1-1-111-1-1-1-1-1-1-1111-11-1-111-1-111
χ8111111111-1-111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1111111111-1-111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1
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χ1022222-2222-2-2222222-2-2-2-2-22-2-2-2-222-2-2-2-20020022200-2-200000000000000000022222-2222-2-2222222-2-2-2-2-22-2-2-2-222-2-2-2-20020022200-2-2000000000000000000
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χ22222-12222-1-2-22-1-1-1-122-1-1-12-2-2-211-1-1-12-1-1-20111-211001100-2110000200-1-10000222-12222-1-2-22-1-1-1-122-1-1-12-2-2-211-1-1-12-1-1-20111-211001100-2110000200-1-10000
χ23222-12-222-1222-1-1-1-12-2111-2-222-1-1-1-11-211001−i3i3-21100-1-1000−i3i30000000−i3i30000222-12-222-1222-1-1-1-12-2111-2-222-1-1-1-11-211001−i3i3-21100-1-1000−i3i30000000−i3i30000
χ24222-12-222-1222-1-1-1-12-2111-2-222-1-1-1-11-211001i3−i3-21100-1-1000i3−i30000000i3−i30000222-12-222-1222-1-1-1-12-2111-2-222-1-1-1-11-211001i3−i3-21100-1-1000i3−i30000000i3−i30000
χ25222-12-222-1-2-22-1-1-1-12-2111-22-2-211-1-11-21100-1−i3i32-1-10011000−i3i30000000i3−i30000222-12-222-1-2-22-1-1-1-12-2111-22-2-211-1-11-21100-1−i3i32-1-10011000−i3i30000000i3−i30000
χ26222-12-222-1-2-22-1-1-1-12-2111-22-2-211-1-11-21100-1i3−i32-1-10011000i3−i30000000−i3i30000222-12-222-1-2-22-1-1-1-12-2111-22-2-211-1-11-21100-1i3−i32-1-10011000i3−i30000000−i3i30000
χ2722-1222-12200-12-1-12-12222-100000-1-1-1-1-1-122022000220022-1-1-1-1-1-1000000-1-10022-1222-12200-12-1-12-12222-100000-1-1-1-1-1-122022000220022-1-1-1-1-1-1000000-1-100
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χ35444-2-244-2-244-21-2-21-2-2-21144-2-2-2-211-2-21100-200-2110011000000000000000000444-2-244-2-244-21-2-21-2-2-21144-2-2-2-211-2-21100-200-2110011000000000000000000
χ36444-2-244-2-2-4-4-21-2-21-2-2-2114-4222211-2-211002002-1-100-1-1000000000000000000444-2-244-2-2-4-4-21-2-21-2-2-2114-4222211-2-211002002-1-100-1-1000000000000000000
χ37444-2-2-44-2-244-21-2-21-222-1-1-4-4-2-2-2-21122-1-1002002-1-10011000000000000000000444-2-2-44-2-244-21-2-21-222-1-1-4-4-2-2-2-21122-1-1002002-1-10011000000000000000000
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χ4044-24-24-2-24001-2-2-2-21-24-2-2-20000011-211104000000-2-20000000-211000000000044-24-24-2-24001-2-2-2-21-24-2-2-20000011-211104000000-2-20000000-2110000000000
χ4144-24-24-2-24001-2-2-2-21-24-2-2-20000011-21110-40000002200000002-1-1000000000044-24-24-2-24001-2-2-2-21-24-2-2-20000011-21110-40000002200000002-1-10000000000
χ4244-24-2-4-2-24001-2-2-2-212-422200000112-1-1-100000000−2i32i300000000i3−i3000000000044-24-2-4-2-24001-2-2-2-212-422200000112-1-1-100000000−2i32i300000000i3−i30000000000
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χ484-444-20-42-44i−4i-2-24-422000000−2i2i4i−4i-2200000000000000−2i2i0000000000000000004-444-20-42-44i−4i-2-24-422000000−2i2i4i−4i-2200000000000000−2i2i000000000000000000
χ494-444-20-42-4−4i4i-2-24-4220000002i−2i−4i4i-22000000000000002i−2i0000000000000000004-444-20-42-4−4i4i-2-24-4220000002i−2i−4i4i-22000000000000002i−2i000000000000000000
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χ67111111111111111111111111111111111-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-111-1-1-1-1111111111111-1-1-1-1
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χ70111111111-1-111111111111-1-1-1-1-1111111-11-1-1-1-1-1-111-1-1-1-1-1-1-1111-11-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11-1111111-1-11111111-1-1-11-111-1-111-1-1
χ71111111111-1-111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-111
χ7222222-222222222222-2-2-2-2-2-2222222-2-2-2-200-200-2-2-20022000000000000000000-2-2-2-2-22-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-222220020022200-2-2000000000000000000
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χ742222-122-1222-1-122-1-1-12-1-122-1-122-1-12-1-1-102200-1-1-1-1-1-1-1000002-1-120-1-1000000-2-2-2-21-2-21-2-2-211-2-2111-211-2-211-2-211-21110-2-200111111100000-211-2011000000
χ752222-122-1222-1-122-1-1-12-1-122-1-122-1-12-1-1-10-2200-1-1-111-1-100000-211-2011000000-2-2-2-21-2-21-2-2-211-2-2111-211-2-211-2-211-211102-200111-1-111000002-1-120-1-1000000
χ762222-122-12-2-2-1-122-1-1-12-1-12-211-2-2-1-12-1-1-102-200111-1-111000002-1-1-2011000000-2-2-2-21-2-21-22211-2-2111-211-22-1-12211-21110-2200-1-1-111-1-100000-21120-1-1000000
χ772222-122-12-2-2-1-122-1-1-12-1-12-211-2-2-1-12-1-1-10-2-200111111100000-21120-1-1000000-2-2-2-21-2-21-22211-2-2111-211-22-1-12211-211102200-1-1-1-1-1-1-1000002-1-1-2011000000
χ782222-1-22-1222-1-122-1-11-211-2-2-1-122-1-1-211100-200111−i3i3-1-1000000−i3i300−i3i3000000-2-2-2-212-21-2-2-211-2-211-12-1-12211-2-2112-1-1-100200-1-1-1i3−i311000000i3−i300i3−i3000000
χ792222-1-22-1222-1-122-1-11-211-2-2-1-122-1-1-211100-200111i3−i3-1-1000000i3−i300i3−i3000000-2-2-2-212-21-2-2-211-2-211-12-1-12211-2-2112-1-1-100200-1-1-1−i3i311000000−i3i300−i3i3000000
χ802222-1-22-12-2-2-1-122-1-11-211-2211-2-2-1-1-211100200-1-1-1−i3i311000000−i3i300i3−i3000000-2-2-2-212-21-22211-2-211-12-1-12-2-1-122112-1-1-100-200111i3−i3-1-1000000i3−i300−i3i3000000
χ812222-1-22-12-2-2-1-122-1-11-211-2211-2-2-1-1-211100200-1-1-1i3−i311000000i3−i300−i3i3000000-2-2-2-212-21-22211-2-211-12-1-12-2-1-122112-1-1-100-200111−i3i3-1-1000000−i3i300i3−i3000000
χ82222-12222-1222-1-1-1-122-1-1-12222-1-1-1-1-12-1-120-1-1-12-1-100-1-1002-1-10000200-1-10000-2-2-21-2-2-2-21-2-2-21111-2-2111-2-2-2-211111-211-20111-211001100-2110000-200110000
χ83222-12222-1222-1-1-1-122-1-1-12222-1-1-1-1-12-1-1-20-1112-1-100-1-100-2110000-200110000-2-2-21-2-2-2-21-2-2-21111-2-2111-2-2-2-211111-211201-1-1-2110011002-1-10000200-1-10000
χ84222-12222-1-2-22-1-1-1-122-1-1-12-2-2-211-1-1-12-1-1201-1-1-2110011002-1-10000-200110000-2-2-21-2-2-2-2122-21111-2-2111-2222-1-1111-211-20-1112-1-100-1-100-2110000200-1-10000
χ85222-12222-1-2-22-1-1-1-122-1-1-12-2-2-211-1-1-12-1-1-20111-211001100-2110000200-1-10000-2-2-21-2-2-2-2122-21111-2-2111-2222-1-1111-21120-1-1-12-1-100-1-1002-1-10000-200110000
χ86222-12-222-1222-1-1-1-12-2111-2-222-1-1-1-11-211001−i3i3-21100-1-1000−i3i30000000−i3i30000-2-2-21-22-2-21-2-2-21111-22-1-1-122-2-21111-12-1-100-1i3−i32-1-10011000i3−i30000000i3−i30000
χ87222-12-222-1222-1-1-1-12-2111-2-222-1-1-1-11-211001i3−i3-21100-1-1000i3−i30000000i3−i30000-2-2-21-22-2-21-2-2-21111-22-1-1-122-2-21111-12-1-100-1−i3i32-1-10011000−i3i30000000−i3i30000
χ88222-12-222-1-2-22-1-1-1-12-2111-22-2-211-1-11-21100-1−i3i32-1-10011000−i3i30000000i3−i30000-2-2-21-22-2-2122-21111-22-1-1-12-222-1-111-12-1-1001i3−i3-21100-1-1000i3−i30000000−i3i30000
χ89222-12-222-1-2-22-1-1-1-12-2111-22-2-211-1-11-21100-1i3−i32-1-10011000i3−i30000000−i3i30000-2-2-21-22-2-2122-21111-22-1-1-12-222-1-111-12-1-1001−i3i3-21100-1-1000−i3i30000000i3−i30000
χ9022-1222-12200-12-1-12-12222-100000-1-1-1-1-1-122022000220022-1-1-1-1-1-1000000-1-100-2-21-2-2-21-2-2001-211-21-2-2-2-2100000111111-2-20-2-2000-2-200-2-21111110000001100
χ9122-1222-12200-12-1-12-12222-100000-1-1-1-1-1-12-2022000-2-200-2-2-1-1-11110000001100-2-21-2-2-21-2-2001-211-21-2-2-2-2100000111111-220-2-2000220022111-1-1-1000000-1-100
χ9222-1222-12200-12-1-12-12222-100000-1-1-1-1-1-1-220-2-20002200-2-2111-1-1-10000001100-2-21-2-2-21-2-2001-211-21-2-2-2-21000001111112-2022000-2-20022-1-1-1111000000-1-100
χ9322-1222-12200-12-1-12-12222-100000-1-1-1-1-1-1-2-20-2-2000-2-20022111111000000-1-100-2-21-2-2-21-2-2001-211-21-2-2-2-2100000111111220220002200-2-2-1-1-1-1-1-10000001100
χ942-22220-2-2-22i−2i222-2-2-20000002i−2i2i−2i2-2000000000000002i−2i−i2i2000000000000−i2i22−2-22-2-2-20222−2i2i-2-2-2222000000−2i2i−2i2i-2200000000000000−2i2ii2−i2000000000000i2−i2−22
χ952-22220-2-2-22i−2i222-2-2-20000002i−2i2i−2i2-2000000000000002i−2ii2−i2000000000000i2−i2−22-22-2-2-20222−2i2i-2-2-2222000000−2i2i−2i2i-2200000000000000−2i2i−i2i2000000000000−i2i22−2
χ962-22220-2-2-2−2i2i222-2-2-2000000−2i2i−2i2i2-200000000000000−2i2i−i2i2000000000000−i2i2−22-22-2-2-202222i−2i-2-2-22220000002i−2i2i−2i-22000000000000002i−2ii2−i2000000000000i2−i22−2
χ972-22220-2-2-2−2i2i222-2-2-2000000−2i2i−2i2i2-200000000000000−2i2ii2−i2000000000000i2−i22−2-22-2-2-202222i−2i-2-2-22220000002i−2i2i−2i-22000000000000002i−2i−i2i2000000000000−i2i2−22
χ98444-2-244-2-244-21-2-21-2-2-21144-2-2-2-211-2-21100-200-2110011000000000000000000-4-4-422-4-422-4-42-122-1222-1-1-4-42222-1-122-1-1002002-1-100-1-1000000000000000000
χ99444-2-244-2-2-4-4-21-2-21-2-2-2114-4222211-2-211002002-1-100-1-1000000000000000000-4-4-422-4-422442-122-1222-1-1-44-2-2-2-2-1-122-1-100-200-2110011000000000000000000
χ100444-2-2-44-2-244-21-2-21-222-1-1-4-4-2-2-2-21122-1-1002002-1-10011000000000000000000-4-4-4224-422-4-42-122-12-2-211442222-1-1-2-21100-200-21100-1-1000000000000000000
χ101444-2-2-44-2-2-4-4-21-2-21-222-1-1-4422221122-1-100-200-21100-1-1000000000000000000-4-4-4224-422442-122-12-2-2114-4-2-2-2-2-1-1-2-211002002-1-10011000000000000000000
χ10244-244-4-24400-24-2-24-2-4-4-4-4200000-2-22222000000000000000000000000000000-4-42-4-442-4-4002-422-424444-20000022-2-2-2-2000000000000000000000000000000
χ10344-24-24-2-24001-2-2-2-21-24-2-2-20000011-211104000000-2-20000000-2110000000000-4-42-42-422-400-12222-12-422200000-1-12-1-1-10-40000002200000002-1-10000000000
χ10444-24-24-2-24001-2-2-2-21-24-2-2-20000011-21110-40000002200000002-1-10000000000-4-42-42-422-400-12222-12-422200000-1-12-1-1-104000000-2-20000000-2110000000000
χ10544-24-2-4-2-24001-2-2-2-212-422200000112-1-1-100000000−2i32i300000000i3−i30000000000-4-42-42422-400-12222-1-24-2-2-200000-1-1-2111000000002i3−2i300000000−i3i30000000000
χ10644-24-2-4-2-24001-2-2-2-212-422200000112-1-1-1000000002i3−2i300000000−i3i30000000000-4-42-42422-400-12222-1-24-2-2-200000-1-1-211100000000−2i32i300000000i3−i30000000000
χ10744-2-244-24-200-2-211-2-24-2-2-2-200000111-211400-2-2000000000-2110000000000000-4-422-4-42-420022-1-122-4222200000-1-1-12-1-1-400220000000002-1-10000000000000
χ10844-2-244-24-200-2-211-2-24-2-2-2-200000111-211-400220000000002-1-10000000000000-4-422-4-42-420022-1-122-4222200000-1-1-12-1-1400-2-2000000000-2110000000000000
χ10944-2-24-4-24-200-2-211-2-2-422220000011-12-1-1000−2i32i30000000000i3−i30000000000000-4-422-442-420022-1-1224-2-2-2-200000-1-11-2110002i3−2i30000000000−i3i30000000000000
χ11044-2-24-4-24-200-2-211-2-2-422220000011-12-1-10002i3−2i30000000000−i3i30000000000000-4-422-442-420022-1-1224-2-2-2-200000-1-11-211000−2i32i30000000000i3−i30000000000000
χ1114-444-20-42-44i−4i-2-24-422000000−2i2i4i−4i-2200000000000000−2i2i000000000000000000-44-4-4204-24−4i4i22-44-2-20000002i−2i−4i4i2-2000000000000002i−2i000000000000000000
χ1124-444-20-42-4−4i4i-2-24-4220000002i−2i−4i4i-22000000000000002i−2i000000000000000000-44-4-4204-244i−4i22-44-2-2000000−2i2i4i−4i2-200000000000000−2i2i000000000000000000
χ1134-44-240-4-424i−4i4-2-222-40000004i−4i−2i2i-2200000000000000−2i2i000000000000000000-44-42-4044-2−4i4i-422-2-24000000−4i4i2i−2i2-2000000000000002i−2i000000000000000000
χ1144-44-240-4-42−4i4i4-2-222-4000000−4i4i2i−2i-22000000000000002i−2i000000000000000000-44-42-4044-24i−4i-422-2-240000004i−4i−2i2i2-200000000000000−2i2i000000000000000000
χ1154-44-2-20-4224i−4i-21-22-12003i−3i00−2i2i−2i2i1-1003i−3i0000003-300i−i000000000000000000-44-42204-2-2−4i4i2-12-21-200−3i3i002i−2i2i−2i-1100−3i3i000000-3300−ii000000000000000000
χ1164-44-2-20-4224i−4i-21-22-1200−3i3i00−2i2i−2i2i1-100−3i3i000000-3300i−i000000000000000000-44-42204-2-2−4i4i2-12-21-2003i−3i002i−2i2i−2i-11003i−3i0000003-300−ii000000000000000000
χ1174-44-2-20-422−4i4i-21-22-12003i−3i002i−2i2i−2i1-1003i−3i000000-3300−ii000000000000000000-44-42204-2-24i−4i2-12-21-200−3i3i00−2i2i−2i2i-1100−3i3i0000003-300i−i000000000000000000
χ1184-44-2-20-422−4i4i-21-22-1200−3i3i002i−2i2i−2i1-100−3i3i0000003-300−ii000000000000000000-44-42204-2-24i−4i2-12-21-2003i−3i00−2i2i−2i2i-11003i−3i000000-3300i−i000000000000000000
χ1194-4-24402-4-400-24-22-420000000000-220000000000000000−2i22i2000000000000i2−i200-442-4-40-244002-42-24-200000000002-200000000000000002i2−2i2000000000000−i2i200
χ1204-4-24402-4-400-24-22-420000000000-2200000000000000002i2−2i2000000000000−i2i200-442-4-40-244002-42-24-200000000002-20000000000000000−2i22i2000000000000i2−i200
χ12188-4-4-48-4-4-400222222-4-422-400000-1-122-1-1000000000000000000000000000000-8-8444-844400-2-2-2-2-2-244-2-240000011-2-211000000000000000000000000000000
χ12288-4-4-4-8-4-4-40022222244-2-2400000-1-1-2-211000000000000000000000000000000-8-8444844400-2-2-2-2-2-2-4-422-4000001122-1-1000000000000000000000000000000
χ1238-8-48-4044-8002-4-444-200000000002-20000000000000000000000000000000000-884-840-4-4800-244-4-420000000000-220000000000000000000000000000000000
χ1248-8-4-4804-8400-4-42-24400000000002-20000000000000000000000000000000000-8844-80-48-40044-22-4-40000000000-220000000000000000000000000000000000
χ1258-8-4-4-4044400222-2-2-2006i−6i000000-1100−3i3i000000000000000000000000000000-884440-4-4-400-2-2-222200−6i6i0000001-1003i−3i000000000000000000000000000000
χ1268-8-4-4-4044400222-2-2-200−6i6i000000-11003i−3i000000000000000000000000000000-884440-4-4-400-2-2-2222006i−6i0000001-100−3i3i000000000000000000000000000000

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