Finite Group Databasebeta

← Group #13176749

Character table — Group #13176749

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
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χ31111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111
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χ7744-2-24-2-24-2-24-2-2411-21411-214-2-24-2-2-2-2-2-244-2-2000000000000-2-24-2-2-2-24-2-211-21-21111-2-2110000000000000011-2111-2100000000000000000000000
χ7844-2-24-2-24-2-24-2-2411-21-411-21-4-2-24-2-22222-4-422000000000000-2-24-2-222-42211-212-1-1-1-122-1-10000000000000011-21-1-12-100000000000000000000000
χ7944-2-24-2-24-2-24-2-2-411-21411-21-4-2-24-2-22222-4-42200000000000022-422-2-24-2-211-212-1-1-1-122-1-100000000000000-1-12-111-2100000000000000000000000
χ8044-2-24-2-24-2-24-2-2-411-21-411-214-2-24-2-2-2-2-2-244-2-200000000000022-42222-42211-21-21111-2-21100000000000000-1-12-1-1-12-100000000000000000000000
χ8144-2-2-244-4-2-2-2440-2-2-240-2-2-240222-4-4000000004-4-2-2-2-2-2-244000000000000222-400000000000222-4000000000000000000000000000000000000000
χ8244-2-2-244-4-2-2-2440-2-2-240-2-2-240222-4-400000000-44222222-4-4000000000000222-400000000000-2-2-24000000000000000000000000000000000000000
χ8344-2-2-24-24-2-2-24-24111-24111-24-2-2-24-2-2-2-2-2-2-244000000000000-2-2-24-2-2-2-24-2111-2-2111111-2-200000000000000111-2111-200000000000000000000000
χ8444-2-2-24-24-2-2-24-24111-2-4111-2-4-2-2-24-2222222-4-4000000000000-2-2-24-2222-42111-22-1-1-1-1-1-12200000000000000111-2-1-1-1200000000000000000000000
χ8544-2-2-24-24-2-2-24-2-4111-24111-2-4-2-2-24-2222222-4-4000000000000222-42-2-2-24-2111-22-1-1-1-1-1-12200000000000000-1-1-12111-200000000000000000000000
χ8644-2-2-24-24-2-2-24-2-4111-2-4111-24-2-2-24-2-2-2-2-2-2-244000000000000222-42222-42111-2-2111111-2-200000000000000-1-1-12-1-1-1200000000000000000000000
χ874-4444440-4-4-4-4-4044440-4-4-4-4000000000000000000000000−2i22i200000000000000000000000000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000000
χ884-4444440-4-4-4-4-4044440-4-4-4-40000000000000000000000002i2−2i2000000000000000000000000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000000
χ894-44-2-2-240-4222-404-2-2-20-4222000000006−66−66−60000−2i32i3−2i32i3−2i32i3−2i22i2000000000000000006−66−66−6000000−2i22i2i2−i2i2−i2i2−i20000000000000000000000000000000
χ904-44-2-2-240-4222-404-2-2-20-4222000000006−66−66−600002i3−2i32i3−2i32i3−2i32i2−2i2000000000000000006−66−66−60000002i2−2i2−i2i2−i2i2−i2i20000000000000000000000000000000
χ914-44-2-2-240-4222-404-2-2-20-422200000000−66−66−660000−2i32i3−2i32i3−2i32i32i2−2i200000000000000000−66−66−660000002i2−2i2−i2i2−i2i2−i2i20000000000000000000000000000000
χ924-44-2-2-240-4222-404-2-2-20-422200000000−66−66−6600002i3−2i32i3−2i32i3−2i3−2i22i200000000000000000−66−66−66000000−2i22i2i2−i2i2−i2i2−i20000000000000000000000000000000
χ934-4-24-2-2402-422-40-24-2-202-4220000006−6006−6−6600−2i32i300−2i32i32i3−2i3−2i22i20000000000000006−6006−6−66000000i2−i2−2i22i2i2−i2i2−i20000000000000000000000000000000
χ944-4-24-2-2402-422-40-24-2-202-4220000006−6006−6−66002i3−2i3002i3−2i3−2i32i32i2−2i20000000000000006−6006−6−66000000−i2i22i2−2i2−i2i2−i2i20000000000000000000000000000000
χ954-4-24-2-2402-422-40-24-2-202-422000000−6600−666−600−2i32i300−2i32i32i3−2i32i2−2i2000000000000000−6600−666−6000000−i2i22i2−2i2−i2i2−i2i20000000000000000000000000000000
χ964-4-24-2-2402-422-40-24-2-202-422000000−6600−666−6002i3−2i3002i3−2i3−2i32i3−2i22i2000000000000000−6600−666−6000000i2−i2−2i22i2i2−i2i2−i20000000000000000000000000000000
χ974-4-2-24-24022-42-40-2-24-2022-420000006−6−66006−600−2i32i32i3−2i300−2i32i3−2i22i20000000000000006−6−66006−6000000i2−i2i2−i2−2i22i2i2−i20000000000000000000000000000000
χ984-4-2-24-24022-42-40-2-24-2022-420000006−6−66006−6002i3−2i3−2i32i3002i3−2i32i2−2i20000000000000006−6−66006−6000000−i2i2−i2i22i2−2i2−i2i20000000000000000000000000000000
χ994-4-2-24-24022-42-40-2-24-2022-42000000−666−600−6600−2i32i32i3−2i300−2i32i32i2−2i2000000000000000−666−600−66000000−i2i2−i2i22i2−2i2−i2i20000000000000000000000000000000
χ1004-4-2-24-24022-42-40-2-24-2022-42000000−666−600−66002i3−2i3−2i32i3002i3−2i3−2i22i2000000000000000−666−600−66000000i2−i2i2−i2−2i22i2i2−i20000000000000000000000000000000
χ1014-4-2-2-2440222-4-40-2-2-240222-40000006−66−6−660000−2i32i3−2i32i32i3−2i300−2i22i20000000000000006−66−6−6600000000i2−i2i2−i2i2−i2−2i22i20000000000000000000000000000000
χ1024-4-2-2-2440222-4-40-2-2-240222-40000006−66−6−6600002i3−2i32i3−2i3−2i32i3002i2−2i20000000000000006−66−6−6600000000−i2i2−i2i2−i2i22i2−2i20000000000000000000000000000000
χ1034-4-2-2-2440222-4-40-2-2-240222-4000000−66−666−60000−2i32i3−2i32i32i3−2i3002i2−2i2000000000000000−66−666−600000000−i2i2−i2i2−i2i22i2−2i20000000000000000000000000000000
χ1044-4-2-2-2440222-4-40-2-2-240222-4000000−66−666−600002i3−2i32i3−2i3−2i32i300−2i22i2000000000000000−66−666−600000000i2−i2i2−i2i2−i2−2i22i20000000000000000000000000000000
χ105888-4-4-4-4-88-4-4-4-40-42220-42220-844440000000000000000000000000000004-2-2-2000000000000000000000000000000000000000000000000000000
χ10688-48-4-4-4-8-48-4-4-402-42202-42204-8444000000000000000000000000000000-24-2-2000000000000000000000000000000000000000000000000000000
χ10788-4-48-4-4-8-4-48-4-4022-42022-42044-844000000000000000000000000000000-2-24-2000000000000000000000000000000000000000000000000000000
χ10888-4-4-48-4-8-4-4-48-40222-40222-40444-84000000000000000000000000000000-2-2-24000000000000000000000000000000000000000000000000000000
χ1098-88888-40-8-8-8-840-4-4-4-4044440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-4-4-4-40-844440-422204-2-2-20000000026−2626−2626−2600000000000000000000000000000−66−66−66000000000000000000000000000000000000000000000
χ1118-88-4-4-4-40-844440-422204-2-2-200000000−2626−2626−2626000000000000000000000000000006−66−66−6000000000000000000000000000000000000000000000
χ1128-8-48-4-4-404-844402-4220-24-2-200000026−260026−26−2626000000000000000000000000000−6600−666−6000000000000000000000000000000000000000000000
χ1138-8-48-4-4-404-844402-4220-24-2-2000000−262600−262626−260000000000000000000000000006−6006−6−66000000000000000000000000000000000000000000000
χ1148-8-4-48-4-4044-844022-420-2-24-200000026−26−26260026−26000000000000000000000000000−666−600−66000000000000000000000000000000000000000000000
χ1158-8-4-48-4-4044-844022-420-2-24-2000000−262626−2600−26260000000000000000000000000006−6−66006−6000000000000000000000000000000000000000000000
χ1168-8-4-4-48-40444-840222-40-2-2-2400000026−2626−26−262600000000000000000000000000000−66−666−600000000000000000000000000000000000000000000000
χ1178-8-4-4-48-40444-840222-40-2-2-24000000−2626−262626−26000000000000000000000000000006−66−6−6600000000000000000000000000000000000000000000000

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