Finite Group Databasebeta

← Group #11870357

Character table — Group #11870357

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order122222334444666666121212123666666612121212121212121212246666666666121212121212121212122244444488882424242424242424446612121212121212121212444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1
χ91111-1-111-1-111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-11-11-111-1-111-1-11111-1-1-1-11-11-111-1-11-111-1-111-1-11-1
χ101111-1-111-1-111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-11-11-1-1-111-1-111-1-1-1-111111-11-1-1-1111-111-1-1-1-111-11
χ111111-1-111-1-111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-1-11-1111-1-111-1-11111-1-1-1-1-11-1111-1-1-11-1-111-1-111-11
χ121111-1-111-1-111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-11111-1-11111-1-1-1-111-1-1-1-1-11-11-1-111-1-111-1-1-1-11111-11-11-1-111-11-1-11111-1-11-1
χ131111-1-111-1-111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-111111111111-11-111-1-1-1-111-1-1-1-11111-111-111-1-11-1-1-11111-1-1-11
χ141111-1-111-1-111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-11111-1-11111-1-1-1-1-111-1-1-1111-1-1-111-1-1111-1
χ151111-1-111-1-111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-11-1111-1-1-1-111-1-1-1-111111-1-1111-1-1-1111-1-1-1-1111-1
χ161111-1-111-1-111111111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-11-11-1-11111-1-11111-1-1-1-11-1-11-1-111-1111-1-111-1-1-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-200002-2-220000000000000000002-20000-220000000000
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-20000002200000000-2-20000-222-2000000000000000000-2200002-20000000000
χ192222222-12222-1222-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222000000000000000022-1-10000-1-1-1-1-1-1000000
χ202222222-12222-1222-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-20000000000000000-2-2110000111111000000
χ212222222-12222-1222-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-12-2-2-2-211-1-11111-2-211-1-1111122220000000000000000-2-2-1-10000-1-11111000000
χ222222222-12222-1222-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-12-2-2-2-211-1-11111-2-211-1-11111-2-2-2-200000000000000002211000011-1-1-1-1000000
χ232222222-1-2-2-2-2-1222-1-1-2-2-2-2-122-1-1-1-1-1-211111111-20000−i3i3-1-1−i3−i3i3i300−i3i311−i3−i3i3i32-2-22000000000000000000-1100001-1−i3i3−i3i3000000
χ242222222-1-2-2-2-2-1222-1-1-2-2-2-2-122-1-1-1-1-1-211111111-20000−i3i3-1-1−i3−i3i3i300−i3i311−i3−i3i3i3-222-20000000000000000001-10000-11i3−i3i3−i3000000
χ252222222-1-2-2-2-2-1222-1-1-2-2-2-2-122-1-1-1-1-1-211111111-20000i3−i3-1-1i3i3−i3−i300i3−i311i3i3−i3−i32-2-22000000000000000000-1100001-1i3−i3i3−i3000000
χ262222222-1-2-2-2-2-1222-1-1-2-2-2-2-122-1-1-1-1-1-211111111-20000i3−i3-1-1i3i3−i3−i300i3−i311i3i3−i3−i3-222-20000000000000000001-10000-11−i3i3−i3i3000000
χ27222222-1222222-1-1-122-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000022222222-1-1-1-1-1-1-1-10000-1-1-1-1000000000000
χ28222222-1222222-1-1-122-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-2-2-2-2-21111111100001111000000000000
χ29222222-1222222-1-1-122-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-2-211-2-2-1-1111111-2-2-1-1111100002222-2-2-2-2111111110000-1-1-1-1000000000000
χ30222222-1222222-1-1-122-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-2-211-2-2-1-1111111-2-2-1-111110000-2-2-2-22222-1-1-1-1-1-1-1-100001111000000000000
χ312222-2-22222-2-222222222222-2-2-2-2222-2-2-2222222-2000000-2-200000000-2-2000022-2-2000000000000000000220000-2-20000000000
χ322222-2-22222-2-222222222222-2-2-2-2222-2-2-2222222-2000000-2-200000000-2-20000-2-222000000000000000000-2-20000220000000000
χ332222-2-22-122-2-2-1222-1-12222-1-2-211-1-1-1-211-1-1-1-1-1-1-20000−i3i311−i3−i3i3i300i3−i311i3i3−i3−i322-2-2000000000000000000-1-1000011−i3i3i3−i3000000
χ342222-2-22-122-2-2-1222-1-12222-1-2-211-1-1-1-211-1-1-1-1-1-1-20000−i3i311−i3−i3i3i300i3−i311i3i3−i3−i3-2-222000000000000000000110000-1-1i3−i3−i3i3000000
χ352222-2-22-122-2-2-1222-1-12222-1-2-211-1-1-1-211-1-1-1-1-1-1-20000i3−i311i3i3−i3−i300−i3i311−i3−i3i3i322-2-2000000000000000000-1-1000011i3−i3−i3i3000000
χ362222-2-22-122-2-2-1222-1-12222-1-2-211-1-1-1-211-1-1-1-1-1-1-20000i3−i311i3i3−i3−i300−i3i311−i3−i3i3i3-2-222000000000000000000110000-1-1−i3i3i3−i3000000
χ372222-2-22-1-2-222-1222-1-1-2-2-2-2-1-2-211-1-1-12-1-111111122-222-1-111-1-1-1-1-2-211-1-111112-22-200000000000000002-2-110000-11-1-111000000
χ382222-2-22-1-2-222-1222-1-1-2-2-2-2-1-2-211-1-1-12-1-111111122-222-1-111-1-1-1-1-2-211-1-11111-22-220000000000000000-221-100001-111-1-1000000
χ392222-2-22-1-2-222-1222-1-1-2-2-2-2-1-2-211-1-1-12-1-11111112-22-2-21111111122-1-1-1-1-1-1-1-12-22-20000000000000000-22-110000-1111-1-1000000
χ402222-2-22-1-2-222-1222-1-1-2-2-2-2-1-2-211-1-1-12-1-11111112-22-2-21111111122-1-1-1-1-1-1-1-1-22-2200000000000000002-21-100001-1-1-111000000
χ412222-2-2-12-2-2222-1-1-1221111-111-2-2-1-1-1-122-2-21111-12-2-1-12211-1-1-1-111-2-2-1-11111000022-2-222-2-2-1-1-1-111110000-1-111000000000000
χ422222-2-2-12-2-2222-1-1-1221111-111-2-2-1-1-1-122-2-21111-12-2-1-12211-1-1-1-111-2-2-1-111110000-2-222-2-2221111-1-1-1-1000011-1-1000000000000
χ432222-2-2-12-2-2222-1-1-1221111-111-2-2-1-1-1-122-2-21111-1-2211-2-2111111-1-122-1-1-1-1-1-1000022-2-2-2-2221111-1-1-1-10000-1-111000000000000
χ442222-2-2-12-2-2222-1-1-1221111-111-2-2-1-1-1-122-2-21111-1-2211-2-2111111-1-122-1-1-1-1-1-10000-2-22222-2-2-1-1-1-11111000011-1-1000000000000
χ4522-2-22-2222-22-2-22-2-22-222-2-222-22-2-2-22-22-22-222-2-220000002-2000000002-2000000000000000000000000000000000000002i−2i2i−2i00
χ4622-2-22-2222-22-2-22-2-22-222-2-222-22-2-2-22-22-22-222-2-220000002-2000000002-200000000000000000000000000000000000000−2i2i−2i2i00
χ4722-2-22-222-22-22-22-2-22-2-2-22222-22-2-2-222-22-22-2-222-20000002-200000000-22000000002i−2i2i−2i00000000000000002i−2i2i−2i000000000000
χ4822-2-22-222-22-22-22-2-22-2-2-22222-22-2-2-222-22-22-2-222-20000002-200000000-2200000000−2i2i−2i2i0000000000000000−2i2i−2i2i000000000000
χ4922-2-22-2-12-22-22-2-1112-211-1-1-1-112-211-1-1-22-2211-1-1100−i3i300-11−i3i3−i3i3−i3i3001-1−i3i3−i3i300002i−2i2i−2i000033−3−333−3−30000−ii−ii000000000000
χ5022-2-22-2-12-22-22-2-1112-211-1-1-1-112-211-1-1-22-2211-1-1100−i3i300-11−i3i3−i3i3−i3i3001-1−i3i3−i3i30000−2i2i−2i2i0000−3−333−3−3330000i−ii−i000000000000
χ5122-2-22-2-12-22-22-2-1112-211-1-1-1-112-211-1-1-22-2211-1-1100i3−i300-11i3−i3i3−i3i3−i3001-1i3−i3i3−i300002i−2i2i−2i0000−3−333−3−3330000−ii−ii000000000000
χ5222-2-22-2-12-22-22-2-1112-211-1-1-1-112-211-1-1-22-2211-1-1100i3−i300-11i3−i3i3−i3i3−i3001-1i3−i3i3−i30000−2i2i−2i2i000033−3−333−3−30000i−ii−i000000000000
χ5322-2-2-22222-2-22-22-2-22-222-2-22-22-22-2-222-222-222-2-2-2000000-2200000000-22000000002i−2i−2i2i00000000000000002i−2i−2i2i000000000000
χ5422-2-2-22222-2-22-22-2-22-222-2-22-22-22-2-222-222-222-2-2-2000000-2200000000-2200000000−2i2i2i−2i0000000000000000−2i2i2i−2i000000000000
χ5522-2-2-2222-222-2-22-2-22-2-2-2222-22-22-2-22-22-2-22-2-2222000000-22000000002-2000000000000000000000000000000000000002i−2i−2i2i00
χ5622-2-2-2222-222-2-22-2-22-2-2-2222-22-22-2-22-22-2-22-2-2222000000-22000000002-200000000000000000000000000000000000000−2i2i2i−2i00
χ5722-2-2-22-122-2-22-2-1112-2-1-111-11-1-2211-1-1-222-2-1-111100−i3i3001-1−i3i3−i3i3i3−i3001-1i3−i3i3−i300002i−2i−2i2i000033−3−3−3−3330000−iii−i000000000000
χ5822-2-2-22-122-2-22-2-1112-2-1-111-11-1-2211-1-1-222-2-1-111100−i3i3001-1−i3i3−i3i3i3−i3001-1i3−i3i3−i30000−2i2i2i−2i0000−3−33333−3−30000i−i−ii000000000000
χ5922-2-2-22-122-2-22-2-1112-2-1-111-11-1-2211-1-1-222-2-1-111100i3−i3001-1i3−i3i3−i3−i3i3001-1−i3i3−i3i300002i−2i−2i2i0000−3−33333−3−30000−iii−i000000000000
χ6022-2-2-22-122-2-22-2-1112-2-1-111-11-1-2211-1-1-222-2-1-111100i3−i3001-1i3−i3i3−i3−i3i3001-1−i3i3−i3i30000−2i2i2i−2i000033−3−3−3−3330000i−i−ii000000000000
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χ62444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-21111-244-2-2-2-2111111-2-2-2-21111110000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-21111-2-4-4222211-1-1-1-1222211-1-1-1-10000000000000000000000000000000000000000
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χ924-4-44004400004-4-44-4-4000040000-44-400000000000000000000000000000000000000002i2−2i2002i2−2i2−2i22i2000000000000000000000000
χ934-4-4400-240000422-2-4-423−23−2323-200002-220000023−23−23230000000000000000000000000000000−2i22i200i2−i2−i2i2i6−i6−i6i600000000000000000000
χ944-4-4400-240000422-2-4-423−23−2323-200002-220000023−23−232300000000000000000000000000000002i2−2i200−i2i2i2−i2−i6i6i6−i600000000000000000000
χ954-4-4400-240000422-2-4-4−232323−23-200002-2200000−232323−230000000000000000000000000000000−2i22i200i2−i2−i2i2−i6i6i6−i600000000000000000000
χ964-4-4400-240000422-2-4-4−232323−23-200002-2200000−232323−2300000000000000000000000000000002i2−2i200−i2i2i2−i2i6−i6−i6i600000000000000000000
χ978-88-8008-400004-88-84-40000-40000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-4000044-444-443−4343−43200002-2-200000−2323−2323000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-4000044-444-4−4343−4343200002-2-20000023−2323−23000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-40000-4-8-88440000-400004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-40000-444-44443−43−434320000-22-200000−232323−23000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-40000-444-444−434343−4320000-22-20000023−23−2323000000000000000000000000000000000000000000000000000000000000000

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