Finite Group Databasebeta

← Group #13178773

Character table — Group #13178773

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222222244444444444444444444444444444444888888888888888888888888888888888899991818181818181818181818181818363636363636363636363636363636363636363672727272
order12442333466612121212121223333346666666666121212121212121212121212121212666666666666666661212121212121212121212121212121212224424668888888812122224446661212122424242424242424661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-11111-11-11
χ5111111111111111111-111111-1111-1-1111111-1-1111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11-1-11-1-111111111-1-1-1-1
χ6111111111111111111-111111-1111-1-1111111-1-1111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-111-1111-1-11-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111-111111-1111-1-1111111-1-1111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-111-11-111-1111111-1-1-1-1-11-11
χ8111111111111111111-111111-1111-1-1111111-1-1111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-111-111-1-1-1-111111-11-1
χ911-1-1-11111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111111111-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-111-1-1-1-1111-1-1-1-1111-1-111-1-111-1-111-1-1
χ1011-1-1-11111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111111111-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-111-1-11-1-1-111-1111-1-1-1-111-1-111-1-111
χ1111-1-1-11111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-11111-11-11-111-1-1-11111-1-1-1-1111-1-11
χ1211-1-1-11111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-111-1-1111-11-1-1-111-1-11111-1-1-111-1
χ1311-1-1-11111111-1-1-1-1-1-1-1111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-111111-1-111-1-1-1-1-1-1-1111-1-1-111111-1-111-1-1-1-111
χ1411-1-1-11111111-1-1-1-1-1-1-1111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1111-1-111-1-111-1-1-1111-1-1-1-1-1111-1-111-1-11111-1-1
χ1511-1-1-11111111-1-1-1-1-1-1-1111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1111-1-1-111-1-1-1-111111-11-11-1111-1-1-111-1-1-1-111-111-1
χ1611-1-1-11111111-1-1-1-1-1-1-1111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1111-1-1-1-1-11111-1-11111-1-1-11111-1-1-1-1-11111-1-11-1-11
χ172222222-1222-12222-1-122-1-1-1-1222-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-1222222-1-100000000-1-1200200-1-1-1-1-1-1000000000000
χ182222222-1222-12222-1-122-1-1-1-1222-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2110000000011-200-200111111000000000000
χ192222222-1222-12222-1-1-22-1-1-1-1-222-1112-1-1-1-1-11122-1-1-1-1-1-1-1-122-2-22-1-1-1-1-2-211111111-2-22-1-1-1-1-2-211111111222222-1-100000000-1-1-200-200-111-111000000000000
χ202222222-1222-12222-1-1-22-1-1-1-1-222-1112-1-1-1-1-11122-1-1-1-1-1-1-1-122-2-22-1-1-1-1-2-211111111-2-22-1-1-1-1-2-211111111-2-2-2-2-2-21100000000112002001-1-11-1-1000000000000
χ21222222-1222-1222-1-1222-12-1-1-122-1222-12-1-1-1222-1-122-1-1-1-1-1-12-12-1-12-1-1-1-1-122-1-1-1-1-1-12-1-12-1-1-1-1-122-1-1-1-1-1-10000000000002222000020020000000000-1-1-1-10-10-1
χ22222222-1222-1222-1-1222-12-1-1-122-1222-12-1-1-1222-1-122-1-1-1-1-1-12-12-1-12-1-1-1-1-122-1-1-1-1-1-12-1-12-1-1-1-1-122-1-1-1-1-1-1000000000000-2-2-2-20000-200-2000000000011110101
χ23222222-1222-1222-1-122-2-12-1-1-1-22-12-2-2-12-1-1-12-2-2-1-122-1-1-1-1-1-12-1-21-12-1-1-111-2-2111111-21-12-1-1-111-2-211111100000000000022220000-200-20000000000-1-1-1-10101
χ24222222-1222-1222-1-122-2-12-1-1-1-22-12-2-2-12-1-1-12-2-2-1-122-1-1-1-1-1-12-1-21-12-1-1-111-2-2111111-21-12-1-1-111-2-2111111000000000000-2-2-2-200002002000000000011110-10-1
χ2522222-1222-122-1-122222-1-12-1-12-12222-1-12-1-1222-1-1-1-122-1-1-1-1-12-12-1-12-1-1-1-1-1-122-1-1-1-1-12-1-12-1-1-1-1-1-122-1-1-1-1000000002222000000020020000000-1-1-1-10000-10-10
χ2622222-1222-122-1-122222-1-12-1-12-12222-1-12-1-1222-1-1-1-122-1-1-1-1-12-12-1-12-1-1-1-1-1-122-1-1-1-1-12-1-12-1-1-1-1-1-122-1-1-1-100000000-2-2-2-20000000-200-20000000111100001010
χ2722222-1222-122-1-12222-2-1-12-1-1-2-122-2-2-1-12-1-12-2-2-1-1-1-122-1-1-1-1-121-2-1-12-1-11111-2-211111-2-1-12-1-11111-2-211110000000022220000000-200-20000000-1-1-1-100001010
χ2822222-1222-122-1-12222-2-1-12-1-1-2-122-2-2-1-12-1-12-2-2-1-1-1-122-1-1-1-1-121-2-1-12-1-11111-2-211111-2-1-12-1-11111-2-2111100000000-2-2-2-200000002002000000011110000-10-10
χ292222-2222-22222222220222220-2-2-20022222-2002222222222-2-200-2-2-2-2-2000000000000-2-2-2-2-200000000002222-2-2220000000022000000-200-200000000000000
χ302222-2222-22222222220222220-2-2-20022222-2002222222222-2-200-2-2-2-2-2000000000000-2-2-2-2-20000000000-2-2-2-222-2-200000000-2-2000000200200000000000000
χ312222-222-1-222-12222-1-102-1-1-1-10-2-21−i3i32-1-1-1-11−i3i322-1-1-1-1-1-1-1-1-2-200-2111100−i3i3−i3i3−i3−i3i3i300-2111100−i3i3−i3i3−i3−i3i3i32222-2-2-1-100000000-1-10000001−i3i31−i3i3000000000000
χ322222-222-1-222-12222-1-102-1-1-1-10-2-21−i3i32-1-1-1-11−i3i322-1-1-1-1-1-1-1-1-2-200-2111100−i3i3−i3i3−i3−i3i3i300-2111100−i3i3−i3i3−i3−i3i3i3-2-2-2-222110000000011000000-1i3−i3-1i3−i3000000000000
χ332222-222-1-222-12222-1-102-1-1-1-10-2-21i3−i32-1-1-1-11i3−i322-1-1-1-1-1-1-1-1-2-200-2111100i3−i3i3−i3i3i3−i3−i300-2111100i3−i3i3−i3i3i3−i3−i32222-2-2-1-100000000-1-10000001i3−i31i3−i3000000000000
χ342222-222-1-222-12222-1-102-1-1-1-10-2-21i3−i32-1-1-1-11i3−i322-1-1-1-1-1-1-1-1-2-200-2111100i3−i3i3−i3i3i3−i3−i300-2111100i3−i3i3−i3i3i3−i3−i3-2-2-2-222110000000011000000-1−i3i3-1−i3i3000000000000
χ3522-2-22222-2222-2-2-2-2-2-202222202220022222-200-2-2-2-2-2-2-2-2-2-2-2-20022222000000000000-2-2-2-2-2000000000022-2-22-22200000000-2-2000000200-200000000000000
χ3622-2-22222-2222-2-2-2-2-2-202222202220022222-200-2-2-2-2-2-2-2-2-2-2-2-20022222000000000000-2-2-2-2-20000000000-2-222-22-2-20000000022000000-200200000000000000
χ3722-2-2222-1-222-1-2-2-2-21102-1-1-1-1022-1−i3i32-1-1-1-11i3−i3-2-211111111-2-2002-1-1-1-100−i3i3−i3i3−i3−i3i3i300-2111100i3−i3i3−i3i3i3−i3−i322-2-22-2-1-10000000011000000-1−i3i31i3−i3000000000000
χ3822-2-2222-1-222-1-2-2-2-21102-1-1-1-1022-1−i3i32-1-1-1-11i3−i3-2-211111111-2-2002-1-1-1-100−i3i3−i3i3−i3−i3i3i300-2111100i3−i3i3−i3i3i3−i3−i3-2-222-221100000000-1-10000001i3−i3-1−i3i3000000000000
χ3922-2-2222-1-222-1-2-2-2-21102-1-1-1-1022-1i3−i32-1-1-1-11−i3i3-2-211111111-2-2002-1-1-1-100i3−i3i3−i3i3i3−i3−i300-2111100−i3i3−i3i3−i3−i3i3i322-2-22-2-1-10000000011000000-1i3−i31−i3i3000000000000
χ4022-2-2222-1-222-1-2-2-2-21102-1-1-1-1022-1i3−i32-1-1-1-11−i3i3-2-211111111-2-2002-1-1-1-100i3−i3i3−i3i3i3−i3−i300-2111100−i3i3−i3i3−i3−i3i3i3-2-222-221100000000-1-10000001−i3i3-1i3−i3000000000000
χ4122-2-2-222-1222-1-2-2-2-21122-1-1-1-1-2-2-21-1-12-1-1-1-1-111-2-2111111112222-2111122-1-1-1-1-1-1-1-1-2-22-1-1-1-1-2-21111111122-2-2-22-1-10000000011200-2001-1-1-111000000000000
χ4222-2-2-222-1222-1-2-2-2-21122-1-1-1-1-2-2-21-1-12-1-1-1-1-111-2-2111111112222-2111122-1-1-1-1-1-1-1-1-2-22-1-1-1-1-2-211111111-2-2222-21100000000-1-1-200200-1111-1-1000000000000
χ4322-2-2-222-1222-1-2-2-2-211-22-1-1-1-12-2-21112-1-1-1-1-1-1-1-2-21111111122-2-2-21111-2-211111111222-1-1-1-122-1-1-1-1-1-1-1-122-2-2-22-1-10000000011-200200111-1-1-1000000000000
χ4422-2-2-222-1222-1-2-2-2-211-22-1-1-1-12-2-21112-1-1-1-1-1-1-1-2-21111111122-2-2-21111-2-211111111222-1-1-1-122-1-1-1-1-1-1-1-1-2-2222-21100000000-1-1200-200-1-1-1111000000000000
χ4522-2-2-22-1222-12-2-211-2-22-12-1-1-1-2-21-222-12-1-1-12-2-211-2-21111112-12-11-2111-1-122-1-1-1-1-1-1-21-12-1-1-111-2-211111100000000000022-2-20000200-20000000000-1-1110-101
χ4622-2-2-22-1222-12-2-211-2-22-12-1-1-1-2-21-222-12-1-1-12-2-211-2-21111112-12-11-2111-1-122-1-1-1-1-1-1-21-12-1-1-111-2-2111111000000000000-2-2220000-2002000000000011-1-1010-1
χ4722-2-2-22-1222-12-2-211-2-2-2-12-1-1-12-21-2-2-2-12-1-1-122211-2-21111112-1-211-211111-2-21111112-1-12-1-1-1-1-122-1-1-1-1-1-100000000000022-2-20000-20020000000000-1-111010-1
χ4822-2-2-22-1222-12-2-211-2-2-2-12-1-1-12-21-2-2-2-12-1-1-122211-2-21111112-1-211-211111-2-21111112-1-12-1-1-1-1-122-1-1-1-1-1-1000000000000-2-2220000200-2000000000011-1-10-101
χ4922-2-2-2-1222-12211-2-2-2-22-1-12-1-1-21-2-222-1-12-1-12-2-21111-2-21111-12-1211-211-1-1-1-122-1-1-1-11-2-1-12-1-11111-2-211110000000022-2-20000000200-20000000-1-1110000-1010
χ5022-2-2-2-1222-12211-2-2-2-22-1-12-1-1-21-2-222-1-12-1-12-2-21111-2-21111-12-1211-211-1-1-1-122-1-1-1-11-2-1-12-1-11111-2-2111100000000-2-2220000000-2002000000011-1-1000010-10
χ5122-2-2-2-1222-12211-2-2-2-2-2-1-12-1-121-2-2-2-2-1-12-1-12221111-2-21111-121-211-2111111-2-21111-12-1-12-1-1-1-1-1-122-1-1-1-10000000022-2-20000000-20020000000-1-111000010-10
χ5222-2-2-2-1222-12211-2-2-2-2-2-1-12-1-121-2-2-2-2-1-12-1-12221111-2-21111-121-211-2111111-2-21111-12-1-12-1-1-1-1-1-122-1-1-1-100000000-2-2220000000200-2000000011-1-10000-1010
χ532-22i−2i02220-2-2-22i−2i2i−2i2i−2i022222000000-2-2-2-2-20002i−2i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000002-22i−2i002-22−2−i2i22−2−i2i22i−2i0000000000002−2−i2i22−2−i2i20000
χ542-22i−2i02220-2-2-22i−2i2i−2i2i−2i022222000000-2-2-2-2-20002i−2i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000002-22i−2i002-2−22i2−i2−22i2−i22i−2i000000000000−22i2−i2−22i2−i20000
χ552-22i−2i02220-2-2-22i−2i2i−2i2i−2i022222000000-2-2-2-2-20002i−2i2i−2i2i−2i2i2i−2i−2i000000000000000000000000000000000000-22−2i2i00-222−2−i2i2−22i2−i2−2i2i0000000000002−2−i2i2−22i2−i20000
χ562-22i−2i02220-2-2-22i−2i2i−2i2i−2i022222000000-2-2-2-2-20002i−2i2i−2i2i−2i2i2i−2i−2i000000000000000000000000000000000000-22−2i2i00-22−22i2−i22−2−i2i2−2i2i000000000000−22i2−i22−2−i2i20000
χ572-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i022222000000-2-2-2-2-2000−2i2i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000002-2−2i2i002-22−2i2−i22−2i2−i2−2i2i0000000000002−2i2−i22−2i2−i20000
χ582-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i022222000000-2-2-2-2-2000−2i2i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000002-2−2i2i002-2−22−i2i2−22−i2i2−2i2i000000000000−22−i2i2−22−i2i20000
χ592-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i022222000000-2-2-2-2-2000−2i2i−2i2i−2i2i−2i−2i2i2i000000000000000000000000000000000000-222i−2i00-222−2i2−i2−22−i2i22i−2i0000000000002−2i2−i2−22−i2i20000
χ602-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i022222000000-2-2-2-2-2000−2i2i−2i2i−2i2i−2i−2i2i2i000000000000000000000000000000000000-222i−2i00-22−22−i2i22−2i2−i22i−2i000000000000−22−i2i22−2i2−i20000
χ61444444-2-244-2-244-2-2-2-24-2-211144-2-2-2-2-2-2111-2-2-2-2-2-2-21111114-24-2-2-2111-2-2-2-21111114-2-2-2111-2-2-2-2111111000000000000000000000000000000000000000000
χ62444444-2-244-2-244-2-2-2-2-4-2-2111-44-2-222-2-2111-222-2-2-2-21111114-2-42-2-21112222-1-1-1-1-1-1-42-2-21112222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6344444-24-24-24-2-2-244-2-24-21-2114-24-2-2-2-21-211-2-2-2-2-211-2-21111-24-24-21-211-2-211-2-21111-24-21-211-2-211-2-21111000000000000000000000000000000000000000000
χ6444444-24-24-24-2-2-244-2-2-4-21-211-4-24-222-21-211-222-2-211-2-21111-242-4-21-21122-1-122-1-1-1-12-4-21-21122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ6544444-2-244-2-24-2-2-2-24441-2-2114-2-24441-2-21144411-2-2-2-21111-2-2-2-21-2-21111-2-2-2-21111-2-21-2-21111-2-2-2-21111000000000000000000000000000000000000000000
χ6644444-2-244-2-24-2-2-2-244-41-2-211-4-2-24-4-41-2-2114-4-411-2-2-2-21111-2-2221-2-211-1-12222-1-1-1-1221-2-211-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ6744444-2-2-24-2-2-2-2-2-2-2-2-24111−1−3i32−1+3i324-2-2-2-2-2111−1−3i32−1+3i32-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000000
χ6844444-2-2-24-2-2-2-2-2-2-2-2-24111−1+3i32−1−3i324-2-2-2-2-2111−1+3i32−1−3i32-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000000
χ6944444-2-2-24-2-2-2-2-2-2-2-2-2-4111−1−3i32−1+3i32-4-2-2-222111−1−3i32−1+3i32-222111111−1−3i32−1+3i32−1−3i32−1+3i32-2-222111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i3222111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000000
χ7044444-2-2-24-2-2-2-2-2-2-2-2-2-4111−1+3i32−1−3i32-4-2-2-222111−1+3i32−1−3i32-222111111−1+3i32−1−3i32−1+3i32−1−3i32-2-222111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i3222111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000000
χ714444-44-24-44-2444-2-2440-24-2-2-20-42-400-24-2-2-2-400-2-244-2-2-2-2-2-2-42002-42220000000000002-42220000000000000000000000000000000000000000000000000000
χ724444-44-2-2-44-2-244-2-2-2-20-2-21110-422−2i32i3-2-21112−2i32i3-2-2-2-2111111-420022-1-1-100−2i32i3i3−i3i3i3−i3−i30022-1-1-100−2i32i3i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ734444-44-2-2-44-2-244-2-2-2-20-2-21110-4222i3−2i3-2-211122i3−2i3-2-2-2-2111111-420022-1-1-1002i3−2i3−i3i3−i3−i3i3i30022-1-1-1002i3−2i3−i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ744444-4-244-4-244-2-244440-2-24-2-202-4-400-2-24-2-2-400-2-2-2-244-2-2-2-22-40022-42200000000000022-4220000000000000000000000000000000000000000000000000000
χ754444-4-24-2-4-24-2-2-244-2-20-21-21102-42−2i32i3-21-2112−2i32i3-2-211-2-211112-4002-12-1-100i3−i3−2i32i3i3i3−i3−i3002-12-1-100i3−i3−2i32i3i3i3−i3−i3000000000000000000000000000000000000000000
χ764444-4-24-2-4-24-2-2-244-2-20-21-21102-422i3−2i3-21-21122i3−2i3-2-211-2-211112-4002-12-1-100−i3i32i3−2i3−i3−i3i3i3002-12-1-100−i3i32i3−2i3−i3−i3i3i3000000000000000000000000000000000000000000
χ774444-4-2-24-4-2-24-2-2-2-24401-2-211022-4001-2-211-40011-2-2-2-211112200-122-1-13-300003-3-3300-122-1-13-300003-3-33000000000000000000000000000000000000000000
χ784444-4-2-24-4-2-24-2-2-2-24401-2-211022-4001-2-211-40011-2-2-2-211112200-122-1-1-330000-333-300-122-1-1-330000-333-3000000000000000000000000000000000000000000
χ794444-4-2-2-2-4-2-2-2-2-2-2-2-2-20111−1−3i32−1+3i320222−2i32i3111−1−3i32−1+3i322−2i32i3111111−1−3i32−1+3i32−1−3i32−1+3i322200-1-1-11+3i321−3i323-3i3−i3i3−i3−3−i323−i323+i32−3+i3200-1-1-11+3i321−3i323-3i3−i3i3−i3−3−i323−i323+i32−3+i32000000000000000000000000000000000000000000
χ804444-4-2-2-2-4-2-2-2-2-2-2-2-2-20111−1−3i32−1+3i3202222i3−2i3111−1−3i32−1+3i3222i3−2i3111111−1−3i32−1+3i32−1−3i32−1+3i322200-1-1-11+3i321−3i32-33−i3i3−i3i33+i32−3+i32−3−i323−i3200-1-1-11+3i321−3i32-33−i3i3−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000000000000000000
χ814444-4-2-2-2-4-2-2-2-2-2-2-2-2-20111−1+3i32−1−3i320222−2i32i3111−1+3i32−1−3i322−2i32i3111111−1+3i32−1−3i32−1+3i32−1−3i322200-1-1-11−3i321+3i32-33i3−i3i3−i33−i32−3−i32−3+i323+i3200-1-1-11−3i321+3i32-33i3−i3i3−i33−i32−3−i32−3+i323+i32000000000000000000000000000000000000000000
χ824444-4-2-2-2-4-2-2-2-2-2-2-2-2-20111−1+3i32−1−3i3202222i3−2i3111−1+3i32−1−3i3222i3−2i3111111−1+3i32−1−3i32−1+3i32−1−3i322200-1-1-11−3i321+3i323-3−i3i3−i3i3−3+i323+i323−i32−3−i3200-1-1-11−3i321+3i323-3−i3i3−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000000
χ8344-4-444-24-44-24-4-422-4-40-24-2-2-204-2400-24-2-2-2-40022-4-4222222-4200-24-2-2-20000000000002-42220000000000000000000000000000000000000000000000000000
χ8444-4-444-2-2-44-2-2-4-422220-2-211104-2-2−2i32i3-2-211122i3−2i32222-1-1-1-1-1-1-4200-2-211100−2i32i3i3−i3i3i3−i3−i30022-1-1-1002i3−2i3−i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ8544-4-444-2-2-44-2-2-4-422220-2-211104-2-22i3−2i3-2-21112−2i32i32222-1-1-1-1-1-1-4200-2-2111002i3−2i3−i3i3−i3−i3i3i30022-1-1-100−2i32i3i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ8644-4-44-244-4-24422-4-4-4-40-2-24-2-20-24400-2-24-2-2-4002222-4-422222-400-2-24-2-200000000000022-4220000000000000000000000000000000000000000000000000000
χ8744-4-44-24-2-4-24-222-4-4220-21-2110-24-2−2i32i3-21-21122i3−2i322-1-122-1-1-1-12-400-21-21100i3−i3−2i32i3i3i3−i3−i3002-12-1-100−i3i32i3−2i3−i3−i3i3i3000000000000000000000000000000000000000000
χ8844-4-44-24-2-4-24-222-4-4220-21-2110-24-22i3−2i3-21-2112−2i32i322-1-122-1-1-1-12-400-21-21100−i3i32i3−2i3−i3−i3i3i3002-12-1-100i3−i3−2i32i3i3i3−i3−i3000000000000000000000000000000000000000000
χ8944-4-44-2-24-4-2-242222-4-401-2-2110-2-24001-2-211-400-1-12222-1-1-1-122001-2-2113-300003-3-3300-122-1-1-330000-333-3000000000000000000000000000000000000000000
χ9044-4-44-2-24-4-2-242222-4-401-2-2110-2-24001-2-211-400-1-12222-1-1-1-122001-2-211-330000-333-300-122-1-13-300003-3-33000000000000000000000000000000000000000000
χ9144-4-44-2-2-2-4-2-2-22222220111−1−3i32−1+3i320-2-2-2−2i32i3111−1−3i32−1+3i3222i3−2i3-1-1-1-1-1-11+3i321−3i321+3i321−3i322200111−1−3i32−1+3i323-3i3−i3i3−i3−3−i323−i323+i32−3+i3200-1-1-11+3i321−3i32-33−i3i3−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000000000000000000
χ9244-4-44-2-2-2-4-2-2-22222220111−1−3i32−1+3i320-2-2-22i3−2i3111−1−3i32−1+3i322−2i32i3-1-1-1-1-1-11+3i321−3i321+3i321−3i322200111−1−3i32−1+3i32-33−i3i3−i3i33+i32−3+i32−3−i323−i3200-1-1-11+3i321−3i323-3i3−i3i3−i3−3−i323−i323+i32−3+i32000000000000000000000000000000000000000000
χ9344-4-44-2-2-2-4-2-2-22222220111−1+3i32−1−3i320-2-2-2−2i32i3111−1+3i32−1−3i3222i3−2i3-1-1-1-1-1-11−3i321+3i321−3i321+3i322200111−1+3i32−1−3i32-33i3−i3i3−i33−i32−3−i32−3+i323+i3200-1-1-11−3i321+3i323-3−i3i3−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000000
χ9444-4-44-2-2-2-4-2-2-22222220111−1+3i32−1−3i320-2-2-22i3−2i3111−1+3i32−1−3i322−2i32i3-1-1-1-1-1-11−3i321+3i321−3i321+3i322200111−1+3i32−1−3i323-3−i3i3−i3i3−3+i323+i323−i32−3−i3200-1-1-11−3i321+3i32-33i3−i3i3−i33−i32−3−i32−3+i323+i32000000000000000000000000000000000000000000
χ9544-4-4-44-2-244-2-2-4-422224-2-2111-4-422-2-2-2-2111-2222222-1-1-1-1-1-14-24-222-1-1-1-2-2-2-2111111-42-2-21112222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ9644-4-4-44-2-244-2-2-4-42222-4-2-21114-42222-2-2111-2-2-22222-1-1-1-1-1-14-2-4222-1-1-12222-1-1-1-1-1-14-2-2-2111-2-2-2-2111111000000000000000000000000000000000000000000
χ9744-4-4-4-24-24-24-222-4-4224-21-211-42-42-2-2-21-211-22222-1-122-1-1-1-1-24-242-12-1-1-2-211-2-211112-4-21-21122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ9844-4-4-4-24-24-24-222-4-422-4-21-21142-4222-21-211-2-2-222-1-122-1-1-1-1-242-42-12-1-122-1-122-1-1-1-1-24-21-211-2-211-2-21111000000000000000000000000000000000000000000
χ9944-4-4-4-2-244-2-242222-4-441-2-211-422-4441-2-2114-4-4-1-12222-1-1-1-1-2-2-2-2-122-1-111-2-2-2-21111221-2-211-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ10044-4-4-4-2-244-2-242222-4-4-41-2-211422-4-4-41-2-211444-1-12222-1-1-1-1-2-222-122-1-1-1-12222-1-1-1-1-2-21-2-21111-2-2-2-21111000000000000000000000000000000000000000000
χ10144-4-4-4-2-2-24-2-2-22222224111−1−3i32−1+3i32-4222-2-2111−1−3i32−1+3i32-222-1-1-1-1-1-11+3i321−3i321+3i321−3i32-2-2-2-2-1-1-11+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i3222111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000000
χ10244-4-4-4-2-2-24-2-2-22222224111−1+3i32−1−3i32-4222-2-2111−1+3i32−1−3i32-222-1-1-1-1-1-11−3i321+3i321−3i321+3i32-2-2-2-2-1-1-11−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i3222111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000000
χ10344-4-4-4-2-2-24-2-2-2222222-4111−1−3i32−1+3i32422222111−1−3i32−1+3i32-2-2-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32-2-222-1-1-11+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000000
χ10444-4-4-4-2-2-24-2-2-2222222-4111−1+3i32−1−3i32422222111−1+3i32−1−3i32-2-2-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32-2-222-1-1-11−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000000
χ1054-44i−4i044-20-4-424i−4i4i−4i−2i2i04-2-2-2-2000000-422220004i−4i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000004-44i−4i00-2200000000−2i2i000000000000000000000000
χ1064-44i−4i044-20-4-424i−4i4i−4i−2i2i04-2-2-2-2000000-422220004i−4i−2i2i−2i2i−2i−2i2i2i000000000000000000000000000000000000-44−4i4i002-2000000002i−2i000000000000000000000000
χ1074-44i−4i04-240-42-44i−4i−2i2i4i−4i0-24-2-2-20000002-4222000−2i2i4i−4i−2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000022−22−2i22i2000000000000000000−22i2−i20000
χ1084-44i−4i04-240-42-44i−4i−2i2i4i−4i0-24-2-2-20000002-4222000−2i2i4i−4i−2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000−22222i2−2i20000000000000000002−2−i2i20000
χ1094-44i−4i0-24402-4-4−2i2i4i−4i4i−4i0-2-24-2-200000022-422000−2i2i−2i2i4i−4i−2i−2i2i2i0000000000000000000000000000000000000000000022−22−2i22i2000000000000000000−22i2−i200000000
χ1104-44i−4i0-24402-4-4−2i2i4i−4i4i−4i0-2-24-2-200000022-422000−2i2i−2i2i4i−4i−2i−2i2i2i00000000000000000000000000000000000000000000−22222i2−2i20000000000000000002−2−i2i200000000
χ1114-4−4i4i044-20-4-42−4i4i−4i4i2i−2i04-2-2-2-2000000-42222000−4i4i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000004-4−4i4i00-22000000002i−2i000000000000000000000000
χ1124-4−4i4i044-20-4-42−4i4i−4i4i2i−2i04-2-2-2-2000000-42222000−4i4i2i−2i2i−2i2i2i−2i−2i000000000000000000000000000000000000-444i−4i002-200000000−2i2i000000000000000000000000
χ1134-4−4i4i04-240-42-4−4i4i2i−2i−4i4i0-24-2-2-20000002-42220002i−2i−4i4i2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000022−222i2−2i2000000000000000000−22−i2i20000
χ1144-4−4i4i04-240-42-4−4i4i2i−2i−4i4i0-24-2-2-20000002-42220002i−2i−4i4i2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000−2222−2i22i20000000000000000002−2i2−i20000
χ1154-4−4i4i0-24402-4-42i−2i−4i4i−4i4i0-2-24-2-200000022-4220002i−2i2i−2i−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000022−222i2−2i2000000000000000000−22−i2i200000000
χ1164-4−4i4i0-24402-4-42i−2i−4i4i−4i4i0-2-24-2-200000022-4220002i−2i2i−2i−4i4i2i2i−2i−2i00000000000000000000000000000000000000000000−2222−2i22i20000000000000000002−2i2−i200000000
χ1178-88i−8i08-4-40-8448i−8i−4i4i−4i4i0-4-422200000044-2-2-2000−4i4i−4i4i2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88i−8i0-48-404-84−4i4i8i−8i−4i4i0-42-4220000004-24-2-2000−4i4i2i−2i−4i4i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88i−8i0-4-48044-8−4i4i−4i4i8i−8i02-4-422000000-244-2-20002i−2i−4i4i−4i4i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88i−8i0-4-4-40444−4i4i−4i4i−4i4i0222−1−3i3−1+3i3000000-2-2-21+3i31−3i30002i−2i2i−2i2i−2i−2ζ14+4ζ224ζ14−2ζ222ζ14−4ζ22−4ζ14+2ζ22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88i−8i0-4-4-40444−4i4i−4i4i−4i4i0222−1+3i3−1−3i3000000-2-2-21−3i31+3i30002i−2i2i−2i2i−2i4ζ14−2ζ22−2ζ14+4ζ22−4ζ14+2ζ222ζ14−4ζ22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8−8i8i08-4-40-844−8i8i4i−4i4i−4i0-4-422200000044-2-2-20004i−4i4i−4i−2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8−8i8i0-48-404-844i−4i−8i8i4i−4i0-42-4220000004-24-2-20004i−4i−2i2i4i−4i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-8−8i8i0-4-48044-84i−4i4i−4i−8i8i02-4-422000000-244-2-2000−2i2i4i−4i4i−4i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8−8i8i0-4-4-404444i−4i4i−4i4i−4i0222−1−3i3−1+3i3000000-2-2-21+3i31−3i3000−2i2i−2i2i−2i2i2ζ14−4ζ22−4ζ14+2ζ22−2ζ14+4ζ224ζ14−2ζ22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8−8i8i0-4-4-404444i−4i4i−4i4i−4i0222−1+3i3−1−3i3000000-2-2-21−3i31+3i3000−2i2i−2i2i−2i2i−4ζ14+2ζ222ζ14−4ζ224ζ14−2ζ22−2ζ14+4ζ22000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.