Finite Group Databasebeta

← Group #11864987

Character table — Group #11864987

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order12442223344466661212121212123666666661212121212121212122466666666661212121212121212121222224444444412121212121212126666881212121224242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111-1-1
χ911-1-1-1-1111-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-1111-1-1-11-111-1-11111-1-1-1-1111-11-1-1-11-111-1-11-11-11-1
χ1011-1-1-1-1111-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-111-11-1-1-1111-1-11111-1-1-1-111-11-11-1-1-11-1-111-11-11-11
χ1111-1-1-1-1111-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-1-1-11-1111-1-1-111-1-1-1-11111-1-11-11-1111-111-1-1-11-11-11
χ1211-1-1-1-1111-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1111-11-1-111-1-1-1-11111-1-1-11-1111-11-1-1111-11-11-1
χ1311-1-1-1-1111-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111111-1-1-11-1-1-111-1-1-1-11111111-1-11-1-11-1-1-1111-11-1-11
χ1411-1-1-1-1111-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111111111-11-1-1-11-1-111-1-1-1-1111111-111-1-1-1-1111-1-1-11-111-1
χ1511-1-1-1-1111-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-11-1111-111-1-11111-1-1-1-1-1-11-1-11111-1-1-111-11-111-1
χ1611-1-1-1-1111-1111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1111-1111-1-11111-1-1-1-1-1-1-111-111-1111-1-11-11-1-11
χ1722222222-1222222-12222-1-1-1-122-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10022002200000000000000-1-12200-1-1-1-1-1-1000000
χ1822222222-1222222-12222-1-1-1-122-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-200-2-20000000000000011-2-200111111000000
χ1922222222-1222222-12222-1-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-111110022002200000000000000-1-1-2-200-1-11111000000
χ2022222222-1222222-12222-1-1-1-122-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-211-1-11111-2-211-1-1111100-2-200-2-20000000000000011220011-1-1-1-1000000
χ212222222-12222-1-1-12-1-1-1-122-12-1-122-1-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1220022002222-1-1-1-1-1-1-1-1-1-10000-1-1000000000000
χ222222222-12222-1-1-12-1-1-1-122-12-1-122-1-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-200-2-200-2-2-2-21111111111000011000000000000
χ232222222-12222-1-1-12-1-1-1-122-12-1-122-1-1-1-1-122-1-1-1-12-2-211-2-2-1-1111111-2-2-1-1111122002200-2-2-2-211111111-1-10000-1-1000000000000
χ242222222-12222-1-1-12-1-1-1-122-12-1-122-1-1-1-1-122-1-1-1-12-2-211-2-2-1-1111111-2-2-1-11111-2-200-2-2002222-1-1-1-1-1-1-1-111000011000000000000
χ2522222-2-222-22-2-2-22222-2-2222-22-22-2-2-222-2-2-222-2-220000002-2000000002-20000002-200-22000000000000002-20000-220000000000
χ2622222-2-222-22-2-2-22222-2-2222-22-22-2-2-222-2-2-222-2-220000002-2000000002-2000000-22002-200000000000000-2200002-20000000000
χ2722222-2-22-1-22-2-2-22-122-2-2-1-1-112-2-1111-12-211-1-111-10000−i3i3-11−i3−i3i3i300−i3i3-11−i3−i3i3i3002-200-2200000000000000-1100001-1−i3i3−i3i3000000
χ2822222-2-22-1-22-2-2-22-122-2-2-1-1-112-2-1111-12-211-1-111-10000−i3i3-11−i3−i3i3i300−i3i3-11−i3−i3i3i300-22002-2000000000000001-10000-11i3−i3i3−i3000000
χ2922222-2-22-1-22-2-2-22-122-2-2-1-1-112-2-1111-12-211-1-111-10000i3−i3-11i3i3−i3−i300i3−i3-11i3i3−i3−i3002-200-2200000000000000-1100001-1i3−i3i3−i3000000
χ3022222-2-22-1-22-2-2-22-122-2-2-1-1-112-2-1111-12-211-1-111-10000i3−i3-11i3i3−i3−i300i3−i3-11i3i3−i3−i300-22002-2000000000000001-10000-11−i3i3−i3i3000000
χ312222-22-222-2-22-2-22222-2-2222-2-22-22-2-22-222-222-2-2-2000000-2200000000-22000000000000000000000000000000000000002-2-2200
χ322222-22-222-2-22-2-22222-2-2222-2-22-22-2-22-222-222-2-2-2000000-2200000000-2200000000000000000000000000000000000000-222-200
χ332222-2-22222-2-2222222222222-2-2-2-2222-2-2-222222-2000000-2-200000000-2-200002-2002-2000000000000002-200002-2000000000000
χ342222-2-22222-2-2222222222222-2-2-2-2222-2-2-222222-2000000-2-200000000-2-20000-2200-2200000000000000-220000-22000000000000
χ352222-2-22-122-2-2-1-1-12-1-1-1-122-1211-2-2-1-1-111-22-1-1-1-1-200−i3i30011−i3i3−i3i3−i3i30011−i3i3−i3i32-2002-2000000−i3−i3i3i3−i3−i3i3i3-110000-11000000000000
χ362222-2-22-122-2-2-1-1-12-1-1-1-122-1211-2-2-1-1-111-22-1-1-1-1-200−i3i30011−i3i3−i3i3−i3i30011−i3i3−i3i3-2200-22000000i3i3−i3−i3i3i3−i3−i31-100001-1000000000000
χ372222-2-22-122-2-2-1-1-12-1-1-1-122-1211-2-2-1-1-111-22-1-1-1-1-200i3−i30011i3−i3i3−i3i3−i30011i3−i3i3−i32-2002-2000000i3i3−i3−i3i3i3−i3−i3-110000-11000000000000
χ382222-2-22-122-2-2-1-1-12-1-1-1-122-1211-2-2-1-1-111-22-1-1-1-1-200i3−i30011i3−i3i3−i3i3−i30011i3−i3i3−i3-2200-22000000−i3−i3i3i3−i3−i3i3i31-100001-1000000000000
χ3922-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-20000002200000000-2-200002-200-22000000000000002-20000-22000000000000
χ4022-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-20000002200000000-2-20000-22002-200000000000000-2200002-2000000000000
χ4122-2-2222-12-2-2-2-1-1-121111-2-2-12-1-122-1-1-111-2-21111-200−i3i300-1-1−i3i3−i3i3i3−i30011i3−i3i3−i32-200-22000000−i3−i3i3i3i3i3−i3−i3-1100001-1000000000000
χ4222-2-2222-12-2-2-2-1-1-121111-2-2-12-1-122-1-1-111-2-21111-200−i3i300-1-1−i3i3−i3i3i3−i30011i3−i3i3−i3-22002-2000000i3i3−i3−i3−i3−i3i3i31-10000-11000000000000
χ4322-2-2222-12-2-2-2-1-1-121111-2-2-12-1-122-1-1-111-2-21111-200i3−i300-1-1i3−i3i3−i3−i3i30011−i3i3−i3i32-200-22000000i3i3−i3−i3−i3−i3i3i3-1100001-1000000000000
χ4422-2-2222-12-2-2-2-1-1-121111-2-2-12-1-122-1-1-111-2-21111-200i3−i300-1-1i3−i3i3−i3−i3i30011−i3i3−i3i3-22002-2000000−i3−i3i3i3i3i3−i3−i31-10000-11000000000000
χ4522-2-22-2-2222-22-2-222-2-222-2-22-22-22-2-2-22-2222-2-222-20000002-200000000-220000000000000000000000000000000000000022-2-200
χ4622-2-22-2-2222-22-2-222-2-222-2-22-22-22-2-2-22-2222-2-222-20000002-200000000-2200000000000000000000000000000000000000-2-22200
χ4722-2-2-22-22222-2-2-222-2-222-2-22-2-22-22-2-222-2-22-2-2222000000-22000000002-20000002200-2-200000000000000220000-2-20000000000
χ4822-2-2-22-22222-2-2-222-2-222-2-22-2-22-22-2-222-2-22-2-2222000000-22000000002-2000000-2-2002200000000000000-2-20000220000000000
χ4922-2-2-22-22-122-2-2-22-1-2-22211-11-221-111-12-21-111-1-1-10000−i3i31-1−i3−i3i3i300i3−i3-11i3i3−i3−i3002200-2-200000000000000-1-1000011−i3i3i3−i3000000
χ5022-2-2-22-22-122-2-2-22-1-2-22211-11-221-111-12-21-111-1-1-10000−i3i31-1−i3−i3i3i300i3−i3-11i3i3−i3−i300-2-2002200000000000000110000-1-1i3−i3−i3i3000000
χ5122-2-2-22-22-122-2-2-22-1-2-22211-11-221-111-12-21-111-1-1-10000i3−i31-1i3i3−i3−i300−i3i3-11−i3−i3i3i3002200-2-200000000000000-1-1000011i3−i3−i3i3000000
χ5222-2-2-22-22-122-2-2-22-1-2-22211-11-221-111-12-21-111-1-1-10000i3−i31-1i3i3−i3−i300−i3i3-11−i3−i3i3i300-2-2002200000000000000110000-1-1−i3i3i3−i3000000
χ5322-2-2-2-222-1-222222-1-2-2-2-211-1-1-2-211-1-1-122-111111-12-222-1-111-1-1-1-1-2-211-1-11111002-2002-200000000000000-112-200-11-1-111000000
χ5422-2-2-2-222-1-222222-1-2-2-2-211-1-1-2-211-1-1-122-111111-12-222-1-111-1-1-1-1-2-211-1-1111100-2200-22000000000000001-1-22001-111-1-1000000
χ5522-2-2-2-222-1-222222-1-2-2-2-211-1-1-2-211-1-1-122-111111-1-22-2-21111111122-1-1-1-1-1-1-1-1002-2002-200000000000000-11-2200-1111-1-1000000
χ5622-2-2-2-222-1-222222-1-2-2-2-211-1-1-2-211-1-1-122-111111-1-22-2-21111111122-1-1-1-1-1-1-1-100-2200-22000000000000001-12-2001-1-1-111000000
χ5722-2-2-2-22-12-222-1-1-121111-2-2-1211-2-2-1-1-1-1-12-2111122-2-1-12211-1-1-1-111-2-2-1-111112200-2-20022-2-2-1-1-1-11111-1-1000011000000000000
χ5822-2-2-2-22-12-222-1-1-121111-2-2-1211-2-2-1-1-1-1-12-2111122-2-1-12211-1-1-1-111-2-2-1-11111-2-2002200-2-2221111-1-1-1-1110000-1-1000000000000
χ5922-2-2-2-22-12-222-1-1-121111-2-2-1211-2-2-1-1-1-1-12-211112-2211-2-2111111-1-122-1-1-1-1-1-12200-2-200-2-2221111-1-1-1-1-1-1000011000000000000
χ6022-2-2-2-22-12-222-1-1-121111-2-2-1211-2-2-1-1-1-1-12-211112-2211-2-2111111-1-122-1-1-1-1-1-1-2-200220022-2-2-1-1-1-11111110000-1-1000000000000
χ614444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-21111-244-2-2-2-2111111-2-2-2-21111110000000000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-21111-2-4-4222211-1-1-1-1222211-1-1-1-10000000000000000000000000000000000000000
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χ6544444-4-4-2-2-44-422-2-2-2-222-2-212-22-22-1-11-222211-1-1-200002i3−2i31-1−i3−i3i3i3002i3−2i31-1−i3−i3i3i30000000000000000000000000000000000000000
χ664444-44-44-2-4-44-4-44-244-4-4-2-2-22-442-222-2-44-22-2-22220000002-2000000002-200000000000000000000000000000000000000000000
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χ8344-4-4-4-44-2-2-444-2-2-2-22222221-22222111-2-2-22-1-1-1-1-24-4-2-2-2-2-1-11111222211-1-1-1-10000000000000000000000000000000000000000
χ8444-4-4-4-44-2-2-444-2-2-2-22222221-22222111-2-2-22-1-1-1-1-2-442222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000000000000000
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χ874-44i−4i000-24000−2i32i32-4−2i2i23−234i−4i-200000−2i32i320000−2i2i23−2300000000000000000000000000000002-22i−2i−1−i31+i3−1+i31−i32ζ11−2ζ112ζ7−2ζ700000000000000000000
χ884-44i−4i000-24000−2i32i32-4−2i2i23−234i−4i-200000−2i32i320000−2i2i23−230000000000000000000000000000000-22−2i2i1+i3−1−i31−i3−1+i3−2ζ112ζ11−2ζ72ζ700000000000000000000
χ894-44i−4i000-240002i3−2i32-4−2i2i−23234i−4i-2000002i3−2i320000−2i2i−232300000000000000000000000000000002-22i−2i−1+i31−i3−1−i31+i32ζ7−2ζ72ζ11−2ζ1100000000000000000000
χ904-44i−4i000-240002i3−2i32-4−2i2i−23234i−4i-2000002i3−2i320000−2i2i−23230000000000000000000000000000000-22−2i2i1−i3−1+i31+i3−1−i3−2ζ72ζ7−2ζ112ζ1100000000000000000000
χ914-4−4i4i0004400000-4-4−4i4i00−4i4i40000000-40000−4i4i0000000000000000000000000000000002-2−2i2i2-22-2−2i2i−2i2i00000000000000000000
χ924-4−4i4i0004400000-4-4−4i4i00−4i4i40000000-40000−4i4i000000000000000000000000000000000-222i−2i-22-222i−2i2i−2i00000000000000000000
χ934-4−4i4i000-24000−2i32i32-42i−2i−2323−4i4i-200000−2i32i3200002i−2i−232300000000000000000000000000000002-2−2i2i−1−i31+i3−1+i31−i3−2ζ112ζ11−2ζ72ζ700000000000000000000
χ944-4−4i4i000-24000−2i32i32-42i−2i−2323−4i4i-200000−2i32i3200002i−2i−23230000000000000000000000000000000-222i−2i1+i3−1−i31−i3−1+i32ζ11−2ζ112ζ7−2ζ700000000000000000000
χ954-4−4i4i000-240002i3−2i32-42i−2i23−23−4i4i-2000002i3−2i3200002i−2i23−2300000000000000000000000000000002-2−2i2i−1+i31−i3−1−i31+i3−2ζ72ζ7−2ζ112ζ1100000000000000000000
χ964-4−4i4i000-240002i3−2i32-42i−2i23−23−4i4i-2000002i3−2i3200002i−2i23−230000000000000000000000000000000-222i−2i1−i3−1+i31+i3−1−i32ζ7−2ζ72ζ11−2ζ1100000000000000000000
χ978-88i−8i0008-400000-848i−8i00−4i4i-4000000040000−4i4i00000000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-4000−4i34i344−4i4i43−43−4i4i2000002i3−2i3-200002i−2i−2323000000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-40004i3−4i344−4i4i−4343−4i4i200000−2i32i3-200002i−2i23−23000000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0008-400000-84−8i8i004i−4i-40000000400004i−4i00000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-4000−4i34i3444i−4i−43434i−4i2000002i3−2i3-20000−2i2i23−23000000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-40004i3−4i3444i−4i43−434i−4i200000−2i32i3-20000−2i2i−2323000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.