Finite Group Databasebeta

← Group #11870362

Character table — Group #11870362

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order12222233444466666612121212344446666666121212121212121212126612121212121212121212121212121212121288882424242424242424244466881212121212122424242422444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ611111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-1-1-1
χ811111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-11111
χ91111-1-111-1-111111111-1-1-1-1111-1-1-1-1-1-11111-1-11-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-1111-1-1-111-1-111-1-11-11-111-1-1
χ101111-1-111-1-111111111-1-1-1-1111-1-1-1-1-1-11111-1-11-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11-11-111-11-1-1-1-111-1-111-11-11-1-111
χ111111-1-111-1-111111111-1-1-1-1111-1-1-1-1-1-11111-1-11-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-11-11-1-11-11111-1-111-1-1-11-11-1-111
χ121111-1-111-1-111111111-1-1-1-1111-1-1-1-1-1-11111-1-11-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1111-1-111-1-1111-11-111-1-1
χ131111-1-111-1-111111111-1-1-1-11-1-111-1-1-1-11111-1-11-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111111-1-11111-1-1-1-1-11-11-1-1-111111-1-1-1-111-11-1111-1-1
χ141111-1-111-1-111111111-1-1-1-11-1-111-1-1-1-11111-1-11-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-11-111-1-11111-1-11-11-1-1-111
χ151111-1-111-1-111111111-1-1-1-11-1-111-1-1-1-11111-1-11-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-1111111-1-111-11-1-111-1-1-1-1111-11-1-1-111
χ161111-1-111-1-111111111-1-1-1-11-1-111-1-1-1-11111-1-11-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1-111111-11-1111-1-1-1-1-11111-1-1-11-1111-1-1
χ1722222222-2-2-2-2222222-2-2-2-2200002222222-2-2-2-2-2-2-2-2-2-22200000000-2-2000000000000000000000000000000000000002-2-220000
χ1822222222-2-2-2-2222222-2-2-2-2200002222222-2-2-2-2-2-2-2-2-2-22200000000-2-200000000000000000000000000000000000000-222-20000
χ192222222-1222222-1-1-12-1-1-1-1-1222222-1-1-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12002-1-100-1-10000000000000000
χ202222222-1222222-1-1-12-1-1-1-1-1222222-1-1-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-200-21100110000000000000000
χ212222222-1222222-1-1-12-1-1-1-1-1-2-2-2-222-1-1-1-1-1222-1-1-1-1-12-1-1-111-2-211-2-2-1-1111111112222-1-1-1-1-1-1-1-1-200-21100110000000000000000
χ222222222-1222222-1-1-12-1-1-1-1-1-2-2-2-222-1-1-1-1-1222-1-1-1-1-12-1-1-111-2-211-2-2-1-111111111-2-2-2-2111111112002-1-100-1-10000000000000000
χ23222222-122222-1-1222-12222-12222-1-122-1-1-1-1-1-12-1-1-1-1-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000000000000220002200-1-1-1-1-1-1-1-100000000
χ24222222-122222-1-1222-12222-12222-1-122-1-1-1-1-1-12-1-1-1-1-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000000000000-2-2000-2-2001111111100000000
χ25222222-122222-1-1222-12222-1-2-2-2-2-1-122-1-1-1-1-1-12-1-1-1-1-12-1-1-2-211-2-211-1-111111111000000000000022000-2-200-1-1-1-1111100000000
χ26222222-122222-1-1222-12222-1-2-2-2-2-1-122-1-1-1-1-1-12-1-1-1-1-12-1-1-2-211-2-211-1-1111111110000000000000-2-200022001111-1-1-1-100000000
χ272222-2-22222-2-2222222222220000-2-2-2-2222-222-22222-2-2-2-200000000-2-20000000000000000000000000000000000000022-2-20000
χ282222-2-22222-2-2222222222220000-2-2-2-2222-222-22222-2-2-2-200000000-2-200000000000000000000000000000000000000-2-2220000
χ292222-2-22-1-2-22222-1-1-121111-122-2-2-2-211-1-1-12-2-2-111112-111-1-1-2-21122-1-1-1-1-1-1111122-2-2-1-1-1-11111200-2-1-100110000000000000000
χ302222-2-22-1-2-22222-1-1-121111-122-2-2-2-211-1-1-12-2-2-111112-111-1-1-2-21122-1-1-1-1-1-11111-2-2221111-1-1-1-1-20021100-1-10000000000000000
χ312222-2-22-1-2-22222-1-1-121111-1-2-222-2-211-1-1-12-2-2-111112-1111122-1-1-2-2-1-11111-1-1-1-122-2-2-1-1-1-11111-20021100-1-10000000000000000
χ322222-2-22-1-2-22222-1-1-121111-1-2-222-2-211-1-1-12-2-2-111112-1111122-1-1-2-2-1-11111-1-1-1-1-2-2221111-1-1-1-1200-2-1-100110000000000000000
χ332222-2-2-12-2-222-1-1222-1-2-2-2-2-122-2-211-2-2-1-1-1-11121111-12112211-2-2-1-1-1-1-1-1-1-1111100000000000002-20002-200-1-111-1-11100000000
χ342222-2-2-12-2-222-1-1222-1-2-2-2-2-122-2-211-2-2-1-1-1-11121111-12112211-2-2-1-1-1-1-1-1-1-111110000000000000-22000-220011-1-111-1-100000000
χ352222-2-2-12-2-222-1-1222-1-2-2-2-2-1-2-22211-2-2-1-1-1-11121111-1211-2-2-1-12211-1-11111-1-1-1-100000000000002-2000-2200-1-11111-1-100000000
χ362222-2-2-12-2-222-1-1222-1-2-2-2-2-1-2-22211-2-2-1-1-1-11121111-1211-2-2-1-12211-1-11111-1-1-1-10000000000000-220002-20011-1-1-1-11100000000
χ372-22-22-2222-22-22-2-2-22-222-2-2200002-22-22-2-222-2-222-2-2-222-2000000002-20000000000000000000000000000000000000000002i−2i2i−2i
χ382-22-22-2222-22-22-2-2-22-222-2-2200002-22-22-2-222-2-222-2-2-222-2000000002-2000000000000000000000000000000000000000000−2i2i−2i2i
χ392-22-22-222-22-222-2-2-22-2-2-22222i−2i2i−2i2-22-22-2-2-2-222-2-2222-22-22i−2i2i−2i2i−2i2i−2i-222i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000
χ402-22-22-222-22-222-2-2-22-2-2-2222−2i2i−2i2i2-22-22-2-2-2-222-2-2222-22-2−2i2i−2i2i−2i2i−2i2i-22−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000
χ412-22-22-22-1-22-222-211-1-211-1-1-12i−2i2i−2i2-2-11-111-2-22-111-1-121-11−ii2i−2i−ii2i−2i1-1−i−iii−i−iii000033−3−333−3−30000−i3i300−i3i30000000000000000
χ422-22-22-22-1-22-222-211-1-211-1-1-12i−2i2i−2i2-2-11-111-2-22-111-1-121-11−ii2i−2i−ii2i−2i1-1−i−iii−i−iii0000−3−333−3−3330000i3−i300i3−i30000000000000000
χ432-22-22-22-1-22-222-211-1-211-1-1-1−2i2i−2i2i2-2-11-111-2-22-111-1-121-11i−i−2i2ii−i−2i2i1-1ii−i−iii−i−i000033−3−333−3−30000i3−i300i3−i30000000000000000
χ442-22-22-22-1-22-222-211-1-211-1-1-1−2i2i−2i2i2-2-11-111-2-22-111-1-121-11i−i−2i2ii−i−2i2i1-1ii−i−iii−i−i0000−3−333−3−3330000−i3i300−i3i30000000000000000
χ452-22-22-2-12-22-22-11-2-221-2-222-12i−2i2i−2i-112-2-11111-1211-1-1-1-2-112i−2i−ii2i−2i−ii1-1−i−iii−i−iii00000000000000000000003−33−3−i3i3−i3i300000000
χ462-22-22-2-12-22-22-11-2-221-2-222-12i−2i2i−2i-112-2-11111-1211-1-1-1-2-112i−2i−ii2i−2i−ii1-1−i−iii−i−iii0000000000000000000000−33−33i3−i3i3−i300000000
χ472-22-22-2-12-22-22-11-2-221-2-222-1−2i2i−2i2i-112-2-11111-1211-1-1-1-2-11−2i2ii−i−2i2ii−i1-1ii−i−iii−i−i00000000000000000000003−33−3i3−i3i3−i300000000
χ482-22-22-2-12-22-22-11-2-221-2-222-1−2i2i−2i2i-112-2-11111-1211-1-1-1-2-11−2i2ii−i−2i2ii−i1-1ii−i−iii−i−i0000000000000000000000−33−33−i3i3−i3i300000000
χ492-22-2-22222-2-222-2-2-22-222-2-222i−2i−2i2i-22-222-2-2-22-2222-2-22-2-222i−2i−2i2i−2i2i2i−2i-222i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000
χ502-22-2-22222-2-222-2-2-22-222-2-22−2i2i2i−2i-22-222-2-2-22-2222-2-22-2-22−2i2i2i−2i2i−2i−2i2i-22−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000
χ512-22-2-2222-222-22-2-2-22-2-2-22220000-22-222-2-22-22-2-2-222-22-22000000002-20000000000000000000000000000000000000000002i−2i−2i2i
χ522-22-2-2222-222-22-2-2-22-2-2-22220000-22-222-2-22-22-2-2-222-22-22000000002-2000000000000000000000000000000000000000000−2i2i2i−2i
χ532-22-2-222-12-2-222-211-1-2-1-111-12i−2i−2i2i-221-1-111-22-2-1-1-111211-1−ii−2i2ii−i2i−2i1-1−i−iiiii−i−i000033−3−3−3−3330000−i3i300i3−i30000000000000000
χ542-22-2-222-12-2-222-211-1-2-1-111-12i−2i−2i2i-221-1-111-22-2-1-1-111211-1−ii−2i2ii−i2i−2i1-1−i−iiiii−i−i0000−3−33333−3−30000i3−i300−i3i30000000000000000
χ552-22-2-222-12-2-222-211-1-2-1-111-1−2i2i2i−2i-221-1-111-22-2-1-1-111211-1i−i2i−2i−ii−2i2i1-1ii−i−i−i−iii000033−3−3−3−3330000i3−i300−i3i30000000000000000
χ562-22-2-222-12-2-222-211-1-2-1-111-1−2i2i2i−2i-221-1-111-22-2-1-1-111211-1i−i2i−2i−ii−2i2i1-1ii−i−i−i−iii0000−3−33333−3−30000−i3i300i3−i30000000000000000
χ572-22-2-22-122-2-22-11-2-22122-2-2-12i−2i−2i2i1-1-22-1111-112-1-111-1-21-12i−2ii−i−2i2i−ii1-1−i−iiiii−i−i00000000000000000000003−3−33−i3i3i3−i300000000
χ582-22-2-22-122-2-22-11-2-22122-2-2-12i−2i−2i2i1-1-22-1111-112-1-111-1-21-12i−2ii−i−2i2i−ii1-1−i−iiiii−i−i0000000000000000000000−333−3i3−i3−i3i300000000
χ592-22-2-22-122-2-22-11-2-22122-2-2-1−2i2i2i−2i1-1-22-1111-112-1-111-1-21-1−2i2i−ii2i−2ii−i1-1ii−i−i−i−iii00000000000000000000003−3−33i3−i3−i3i300000000
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χ884-44-4-44-2-24-4-44-2222-22-2-2221−4i4i4i−4i2-22-21-1-12-22-211-1-1-22-112i−2i−2i2i−2i2i2i−2i-11−i−iiiii−i−i00000000000000000000000000000000000000
χ894-44-4-44-2-2-444-4-2222-2222-2-2100002-22-21-1-1-22-22-1-1112-2-11000000001-13i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000
χ904-44-4-44-2-2-444-4-2222-2222-2-2100002-22-21-1-1-22-22-1-1112-2-11000000001-1−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000
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χ934-4-44004-20000-442-22-423−23−2323-20000000022-2000023−23−23230000000000000000000000−2i22i200i2−i2−i2i2i6−i6−i6i600000000000000000000000000
χ944-4-44004-20000-442-22-423−23−2323-20000000022-2000023−23−232300000000000000000000002i2−2i200−i2i2i2−i2−i6i6i6−i600000000000000000000000000
χ954-4-44004-20000-442-22-4−232323−23-20000000022-20000−232323−230000000000000000000000−2i22i200i2−i2−i2i2−i6i6i6−i600000000000000000000000000
χ964-4-44004-20000-442-22-4−232323−23-20000000022-20000−232323−2300000000000000000000002i2−2i200−i2i2i2−i2i6−i6−i6i600000000000000000000000000
χ9788-8-800-480000448-8-8-40000-4000000004-4400000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-4000044-444-443−4343−43200000000-22-20000−2323−2323000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-4000044-444-4−4343−4343200000000-22-2000023−2323−23000000000000000000000000000000000000000000000000000000000000
χ1008-8-8800-4800004-4-88-840000-40000000044-400000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004-44-44443−43−4343200000000-2-220000−232323−23000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004-44-444−434343−43200000000-2-22000023−23−2323000000000000000000000000000000000000000000000000000000000000

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