Finite Group Databasebeta

← Group #13170773

Character table — Group #13170773

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order12223336666666663334666666666121222224436661212121212121212121212124444244666666666612121212121222441212121266666661212121212121212122446612121212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111-1-1-1-111-11111111111-1-1-1-1-1-111-1-1-1-1-1-1111111111-111-1-1-1-1-1-1111-1-1-1-1-1-1-11-1
χ3111111111111111111111111111111111-1-111111111111111111111111-111111-1-111-1-1111111-1-1-1-111111-1-11111-1-11-1-11111-11-1-1-111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111-11
χ51111111111111111111111111111111-1-111111111111111111111-1-1-1-1-111-1-1-1-111-1-111111111-1-111-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-11-1-1
χ61111111111111111111111111111111-1-111-1-111111111111111111111-11-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-111-111-1-1-1-1-11-1-1-111-1-111-1-11
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1111-1-1-1-111-111
χ81111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111111111-1-111111111-11111-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111-11111-1-1-1-11-11
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-111-1-111-11111-1-11-11-1-1-1-1-1-1-1-1111
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1-111111-1-111-111-1-1111111-11-1
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1111-1-111-1-1-1-1-111-1-1-111-1-11111-1-1-111
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-11111-1-111-1-1-1-111-1-1-1-11111111-1-111-1-11-1-1-1-1111-11-1-1-1-1-1-11111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-1-1-11111-11111-1-111-11111-1-1111-1-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111111-1-111-1-1-111-1-111-1-1-1-11
χ17222222-122-12-12-1222-1-122-1-1-12-1-1-1222222200-1-1-1-12-122-1-1-1-1-1-1-1-10000220222222-1-1-1-100000022000000-1-1-1-1-1-1-12-10-1-10000002-1-10000000-10
χ18222222-122-12-12-1222-1-122-1-1-12-1-1-122222-2-200-1-1-1-12-122-1-1-1-1-1-1-1-100002-202222-2-2-1-111000000-2-2000000-111-1-1-1-1-21011000000-211000000010
χ19222222-122-12-12-1222-1-122-1-1-12-1-1-1222-2-22200-1-1-1-12-122-1-1-1-1-1-1-1-10000-220-2-2-2-22211-1-1000000-2-20000001-1-111112-10-1-1000000-211000000010
χ20222222-122-12-12-1222-1-122-1-1-12-1-1-1222-2-2-2-200-1-1-1-12-122-1-1-1-1-1-1-1-10000-2-20-2-2-2-2-2-21111000000220000001111111-210110000002-1-10000000-10
χ21222222-122-12-12-1222-1-1-22-1-1-12-1-1-12-2-2222200-1-1-1-1-21-2-2111111110000-2-2022-2-222-1-1-1-1000000220000001-1-1-1-111-21011000000-2-1-1000000010
χ22222222-122-12-12-1222-1-1-22-1-1-12-1-1-12-2-222-2-200-1-1-1-1-21-2-2111111110000-22022-2-2-2-2-1-111000000-2-2000000111-1-1112-10-1-10000002110000000-10
χ23222222-122-12-12-1222-1-1-22-1-1-12-1-1-12-2-2-2-22200-1-1-1-1-21-2-21111111100002-20-2-2222211-1-1000000-2-2000000-1-1-111-1-1-210110000002110000000-10
χ24222222-122-12-12-1222-1-1-22-1-1-12-1-1-12-2-2-2-2-2-200-1-1-1-1-21-2-2111111110000220-2-222-2-2111100000022000000-11111-1-12-10-1-1000000-2-1-1000000010
χ2522222-122-12-12222-1-1-122-1-122-1-12-1-122002222-1-1-1-1-12-1-122-1-1-1-1-1-100000220000-1-1002222-1-122002200000-1-10000-12-1-1-1-1-1-1-12000000-1-100-100
χ2622222-122-12-12222-1-1-122-1-122-1-12-1-1220022-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1000002-20000-1-10022-2-211-2-200-2-200000-1-10000-121-1-11111-20000001100100
χ2722222-122-12-12222-1-1-122-1-122-1-12-1-12200-2-222-1-1-1-1-12-1-122-1-1-1-1-1-100000-2200001100-2-222-1-12200-2-2000001100001-2-111-1-1-1-1-20000001100100
χ2822222-122-12-12222-1-1-122-1-122-1-12-1-12200-2-2-2-2-1-1-1-1-12-1-122-1-1-1-1-1-100000-2-200001100-2-2-2-211-2-20022000001100001-211111112000000-1-100-100
χ2922222-122-12-12222-1-1-12-2-1-122-1-12-1-1-2-2002222-1-1-1-11-211-2-211111100000-2-20000-1-1002222-1-1-2-2002200000-1-100001-2111-1-111-2000000-1-100100
χ3022222-122-12-12222-1-1-12-2-1-122-1-12-1-1-2-20022-2-2-1-1-1-11-211-2-211111100000-220000-1-10022-2-2112200-2-200000-1-100001-2-11111-1-120000001100-100
χ3122222-122-12-12222-1-1-12-2-1-122-1-12-1-1-2-200-2-222-1-1-1-11-211-2-2111111000002-200001100-2-222-1-1-2-200-2-200000110000-121-1-1-1-11120000001100-100
χ3222222-122-12-12222-1-1-12-2-1-122-1-12-1-1-2-200-2-2-2-2-1-1-1-11-211-2-2111111000002200001100-2-2-2-21122002200000110000-12-1-1-111-1-1-2000000-1-100100
χ332222-122-12222-12-12-12-12-12-1-1-12-12-1-1-1220022-1-1-1-122-1-1-1-122-1-1-1-12222202-1-1-1-1002200-1-122-1-10000-1-1-1-1200-1-1-1-100200-1-1-1-102000-1-10000000
χ342222-122-12222-12-12-12-12-12-1-1-12-12-1-1-12200-2-2-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-220-2-1-1-1-100220011-2-21100001111200-1-1-1-100-20011110-2000110000000
χ352222-122-12222-12-12-12-12-12-1-1-12-12-1-1-1-2-20022-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-202111100-2-200-1-122-1-100001111-200111100200-1-1-1-10-2000110000000
χ362222-122-12222-12-12-12-12-12-1-1-12-12-1-1-1-2-200-2-2-1-1-1-122-1-1-1-122-1-1-1-12222-20-2111100-2-20011-2-2110000-1-1-1-1-200111100-200111102000-1-10000000
χ372222-122-12222-12-12-12-1-2-12-1-1-12-12-111220022-1-1-1-1-2-21111-2-211112222-20-2-1-111002200-1-122110000-1-1-1-1-200-1-11100-200-1-1110-2000110000000
χ382222-122-12222-12-12-12-1-2-12-1-1-12-12-1112200-2-2-1-1-1-1-2-21111-2-21111-2-2-2-2-202-1-11100220011-2-2-1-100001111-200-1-1110020011-1-102000-1-10000000
χ392222-122-12222-12-12-12-1-2-12-1-1-12-12-111-2-20022-1-1-1-1-2-21111-2-21111-2-2-2-220-211-1-100-2-200-1-122110000111120011-1-100-200-1-11102000-1-10000000
χ402222-122-12222-12-12-12-1-2-12-1-1-12-12-111-2-200-2-2-1-1-1-1-2-21111-2-21111222220211-1-100-2-20011-2-2-1-10000-1-1-1-120011-1-10020011-1-10-2000110000000
χ4122-2-2222-2-2-2222-2-2-222202-22-2-2-2-22-20000000022-2-20000000000002i2i−2i−2i00000000000000000002-22i−2i2i2i−2i−2i00000000000000000002-2002i−2i00000
χ4222-2-2222-2-2-2222-2-2-222202-22-2-2-2-22-20000000022-2-20000000000002i2i−2i−2i0000000000000000000-22−2i2i2i2i−2i−2i0000000000000000000-2200−2i2i00000
χ4322-2-2222-2-2-2222-2-2-222202-22-2-2-2-22-20000000022-2-2000000000000−2i−2i2i2i00000000000000000002-2−2i2i−2i−2i2i2i00000000000000000002-200−2i2i00000
χ4422-2-2222-2-2-2222-2-2-222202-22-2-2-2-22-20000000022-2-2000000000000−2i−2i2i2i0000000000000000000-222i−2i−2i−2i2i2i0000000000000000000-22002i−2i00000
χ452-22-2222222-2-2-2-2-2-22220-2-2-2-2222-2-2002-2002i−2i2-2-220000000000002i−2i2i−2i0002-200002-2002i−2i2i−2i0000002i−2i2i−2i0002-200000002i−2i0000000000000000
χ462-22-2222222-2-2-2-2-2-22220-2-2-2-2222-2-2002-200−2i2i2-2-22000000000000−2i2i−2i2i0002-200002-200−2i2i−2i2i000000−2i2i−2i2i0002-20000000−2i2i0000000000000000
χ472-22-2222222-2-2-2-2-2-22220-2-2-2-2222-2-200-22002i−2i2-2-22000000000000−2i2i−2i2i000-220000-22002i−2i2i−2i000000−2i2i−2i2i000-2200000002i−2i0000000000000000
χ482-22-2222222-2-2-2-2-2-22220-2-2-2-2222-2-200-2200−2i2i2-2-220000000000002i−2i2i−2i000-220000-2200−2i2i−2i2i0000002i−2i2i−2i000-220000000−2i2i0000000000000000
χ492-22-2-122-122-2-21-21-2-12-101-211-12-1-21−i3i32-2002i−2i-111-100−i3i3−i3i300−i3−i3i3i32i−2i2i−2i000-11−i3i3002-200−ii2i−2i3−30000−ii−ii000-11−i3i300000−ii3−3000003−30000000
χ502-22-2-122-122-2-21-21-2-12-101-211-12-1-21−i3i32-200−2i2i-111-100−i3i3−i3i300−i3−i3i3i3−2i2i−2i2i000-11−i3i3002-200i−i−2i2i−330000i−ii−i000-11−i3i300000i−i−3300000−330000000
χ512-22-2-122-122-2-21-21-2-12-101-211-12-1-21−i3i3-22002i−2i-111-100−i3i3−i3i300−i3−i3i3i3−2i2i−2i2i0001-1i3−i300-2200−ii2i−2i3−30000i−ii−i0001-1i3−i300000−ii3−300000−330000000
χ522-22-2-122-122-2-21-21-2-12-101-211-12-1-21−i3i3-2200−2i2i-111-100−i3i3−i3i300−i3−i3i3i32i−2i2i−2i0001-1i3−i300-2200i−i−2i2i−330000−ii−ii0001-1i3−i300000i−i−33000003−30000000
χ532-22-2-122-122-2-21-21-2-12-101-211-12-1-21i3−i32-2002i−2i-111-100i3−i3i3−i300i3i3−i3−i32i−2i2i−2i000-11i3−i3002-200−ii2i−2i−330000−ii−ii000-11i3−i300000−ii−3300000−330000000
χ542-22-2-122-122-2-21-21-2-12-101-211-12-1-21i3−i32-200−2i2i-111-100i3−i3i3−i300i3i3−i3−i3−2i2i−2i2i000-11i3−i3002-200i−i−2i2i3−30000i−ii−i000-11i3−i300000i−i3−3000003−30000000
χ552-22-2-122-122-2-21-21-2-12-101-211-12-1-21i3−i3-22002i−2i-111-100i3−i3i3−i300i3i3−i3−i3−2i2i−2i2i0001-1−i3i300-2200−ii2i−2i−330000i−ii−i0001-1−i3i300000−ii−33000003−30000000
χ562-22-2-122-122-2-21-21-2-12-101-211-12-1-21i3−i3-2200−2i2i-111-100i3−i3i3−i300i3i3−i3−i32i−2i2i−2i0001-1−i3i300-2200i−i−2i2i3−30000−ii−ii0001-1−i3i300000i−i3−300000−330000000
χ572-2-22222-2-2-2-2-2-22222220-22-22-2-2-2-2200002-2002-22-20000000000002-2-2200000002-2002-200000000002-2-2202-200000000000000000000002-2000
χ582-2-22222-2-2-2-2-2-22222220-22-22-2-2-2-2200002-2002-22-2000000000000-222-200000002-2002-20000000000-222-202-20000000000000000000000-22000
χ592-2-22222-2-2-2-2-2-22222220-22-22-2-2-2-220000-22002-22-20000000000002-2-220000000-2200-2200000000002-2-220-220000000000000000000000-22000
χ602-2-22222-2-2-2-2-2-22222220-22-22-2-2-2-220000-22002-22-2000000000000-222-20000000-2200-220000000000-222-20-2200000000000000000000002-2000
χ6144444-2-24-2-2-2-24-24-2-21-24-21-2-2-21-21-2440044001111-2-2-2-2-2-211111100000400000-2-200-2-2000000000000000110000-2-2011000000000000000000
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χ704444-2-24-2-24-24-24-2-21-2-241-2-2-21-2-2-21-2-20000-4-41111-2411-2-2-2-21111000000-4000000000022222200000000000000000200-1-1-1-100000000000000
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χ844-44-4-24-2-24-2-42222-4-2-21022-1-1-2-2122−2i32i3-4400001-1-1100−2i32i3i3−i300i3i3−i3−i300000002-22i3−2i3002-20000000000000000000-11−i3i300000000000000000000000
χ854-44-4-24-2-24-2-42222-4-2-21022-1-1-2-21222i3−2i34-400001-1-11002i3−2i3−i3i300−i3−i3i3i30000000-222i3−2i300-2200000000000000000001-1−i3i300000000000000000000000
χ864-44-4-24-2-24-2-42222-4-2-21022-1-1-2-21222i3−2i3-4400001-1-11002i3−2i3−i3i300−i3−i3i3i300000002-2−2i32i3002-20000000000000000000-11i3−i300000000000000000000000
χ874-44-4-2-24-2-242-42-4221-2-20-12221-2-22-1−2i32i300004i−4i1-1-1100i3−i3−2i32i300i3i3−i3−i300000000000000000−2i2i−2i2i23−2300000000000000000000i−i−3300000000000000
χ884-44-4-2-24-2-242-42-4221-2-20-12221-2-22-1−2i32i30000−4i4i1-1-1100i3−i3−2i32i300i3i3−i3−i3000000000000000002i−2i2i−2i−232300000000000000000000−ii3−300000000000000
χ894-44-4-2-24-2-242-42-4221-2-20-12221-2-22-12i3−2i300004i−4i1-1-1100−i3i32i3−2i300−i3−i3i3i300000000000000000−2i2i−2i2i−232300000000000000000000i−i3−300000000000000
χ904-44-4-2-24-2-242-42-4221-2-20-12221-2-22-12i3−2i30000−4i4i1-1-1100−i3i32i3−2i300−i3−i3i3i3000000000000000002i−2i2i−2i23−2300000000000000000000−ii−3300000000000000
χ914-4-4444-2-4-42-42-4-2444-2-20-4-22-2-4222400004-400-22-22000000000000000000000004-400-22000000000000000-22000000000000000000000000000
χ924-4-4444-2-4-42-42-4-2444-2-20-4-22-2-422240000-4400-22-2200000000000000000000000-44002-20000000000000002-2000000000000000000000000000
χ934-4-444-24-42-42-4-444-2-2-2402-2-4422-42-200004-400-22-2200000000000000000000000-22004-4000000000000000-22000000000000000000000000000
χ944-4-444-24-42-42-4-444-2-2-2402-2-4422-42-20000-4400-22-22000000000000000000000002-200-440000000000000002-2000000000000000000000000000
χ954-4-444-2-2-42222-4-24-2-21-20212-22-12-1-200004-4001-11-10000003i−3i3i−3i3i−3i00000000000-2200-220000000000000001-100000003i−3i000000000000000000
χ964-4-444-2-2-42222-4-24-2-21-20212-22-12-1-200004-4001-11-1000000−3i3i−3i3i−3i3i00000000000-2200-220000000000000001-10000000−3i3i000000000000000000
χ974-4-444-2-2-42222-4-24-2-21-20212-22-12-1-20000-44001-11-10000003i−3i3i−3i3i−3i000000000002-2002-2000000000000000-110000000−3i3i000000000000000000
χ984-4-444-2-2-42222-4-24-2-21-20212-22-12-1-20000-44001-11-1000000−3i3i−3i3i−3i3i000000000002-2002-2000000000000000-1100000003i−3i000000000000000000
χ994-4-44-2442-4-4-4-424-24-24-20242-22-42-4-200000000-22-220000000000004-4-4400000000000000000000000-222-2000000000000000000000000000000
χ1004-4-44-2442-4-4-4-424-24-24-20242-22-42-4-200000000-22-22000000000000-444-4000000000000000000000002-2-22000000000000000000000000000000
χ1018888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4000000-1-1-1-1-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222244000000-1-1-1-144-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000000
χ10388-8-88-4-4-844-4-484-84-42-40-4-2-444-24240000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-48-44-848-4-444-8-4-420-442-244-2-440000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4844-8-48-4-8442-4-4024-44-244-4-20000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-4444-4-4-444422202-22-2-2-2-22-200000000-1-1110000000033−33−33330000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-4444-4-4-444422202-22-2-2-2-22-200000000-1-11100000000−333333−330000000000000000000000000000000000000000000000000000000000000
χ1088-88-88-4-48-4-444-84-84-42-404-244-42-4-24000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-4-4-4-44444442220-2-2-2-2222-2-2−4i34i3000000-111-1002i3−2i32i3−2i300−i3−i3i3i30000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4-4-4-44444442220-2-2-2-2222-2-24i3−4i3000000-111-100−2i32i3−2i32i300i3i3−i3−i30000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-44-84-844-4-48-4-4204-4-2244-24-4000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-4844-84-848-4-42-4-40-2-44-4-24442000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4444444-4-4-42220-22-22-2-2-2-2200000000-11-110000006i−6i−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4444444-4-4-42220-22-22-2-2-2-2200000000-11-11000000−6i6i3i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000

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