Finite Group Databasebeta

← Group #11889098

Character table — Group #11889098

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222224444444444444444444444488888888888888888888121212121212121212121212121212121212121212122424242424242424242424242472727272
order12222233446666666666223466666666666661212121212122666666666666661212121212244444668888121224242424242424242446612121212121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1-111-1-1-11111-1-111111111-1-11-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-1
χ611111111111111111111-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111
χ711111111111111111111-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-111
χ811111111111111111111-1-11111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111111111-111-1-111-1-1-1-111-1-1
χ91111-1-111111-1-1-1-111111111-1-1-1111111-1-1-1-111-1-1111-111-1-1-1-11111-1-1-1-1-111-1-11-1-11111111-1-1-1-11111-1-1-1-11-1-111-11-1-111-1-11-1-11
χ101111-1-111111-1-1-1-111111111-1-1-1111111-1-1-1-111-1-1111-111-1-1-1-11111-1-1-1-1-111-1-11-1-1-1-1111-1-111-1-1-1-1-1-111111-1111-11-1-1-1-111-111-1
χ111111-1-111111-1-1-1-111111111-1-1-1111111-1-1-1-111-1-1111-111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-111-1-1111111-1-1-1-1-11-1-1-11-11111-1-1-111-1
χ121111-1-111111-1-1-1-111111111-1-1-1111111-1-1-1-111-1-1111-111-1-1-1-11111-1-1-1-1-111-1-1-111-1-1-1-1-1-1-11111-1-1-1-11111-111-1-11-111-1-1111-1-11
χ131111-1-111111-1-1-1-111111-1-11-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-11111-111-1-11-1-111111-1-111-1-1-1-1-1-11111-11-1-1-1-111111-1-11-11-1
χ141111-1-111111-1-1-1-111111-1-11-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-11111-111-1-11-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1-1-1111-1-111-11-11
χ151111-1-111111-1-1-1-111111-1-11-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-11111-111-1-1-11111-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-111-1-1-11-11
χ161111-1-111111-1-1-1-111111-1-11-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-11111-111-1-1-111-1-1-1-1-111-1-1111111-1-1-1-11-11111-1-1-1-1-1111-11-1
χ1722222222-2-22222222222002-22200002222222-2-2-2-2-2-2000000000000000-2-2-2-2-222-200-2220000220000000000000-2-20000000000
χ1822222222-2-22222222222002-22200002222222-2-2-2-2-2-2000000000000000-2-2-2-2-2-2-22002-2-20000-2-20000000000000220000000000
χ192222222-122222222-1-1-1222-12-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222002-1-10000-1-100000000220-1-1-1-1-1-100000000
χ202222222-122222222-1-1-1222-12-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-200-21100001100000000-2-2011111100000000
χ212222222-122222222-1-1-12-2-2-12-1-11111-1-1-1-1-1-1-1222-1-12-2-2-2-2-21111111111-1-1-1-1-1222002-1-10000-1-100000000-2-2011-1-11100000000
χ222222222-122222222-1-1-12-2-2-12-1-11111-1-1-1-1-1-1-1222-1-12-2-2-2-2-21111111111-1-1-1-1-1-2-2-200-21100001100000000220-1-111-1-100000000
χ232222222-1-2-2222222-1-1-1200-1-2-1-1−i3−i3i3i3-1-1-1-1-1-1-1-2-2-211-200000−i3i3−i3−i3i3i3−i3−i3i3i31111122-200-2-1-10000-1-100000000000−i3i311−i3i300000000
χ242222222-1-2-2222222-1-1-1200-1-2-1-1−i3−i3i3i3-1-1-1-1-1-1-1-2-2-211-200000−i3i3−i3−i3i3i3−i3−i3i3i311111-2-220021100001100000000000i3−i3-1-1i3−i300000000
χ252222222-1-2-2222222-1-1-1200-1-2-1-1i3i3−i3−i3-1-1-1-1-1-1-1-2-2-211-200000i3−i3i3i3−i3−i3i3i3−i3−i31111122-200-2-1-10000-1-100000000000i3−i311i3−i300000000
χ262222222-1-2-2222222-1-1-1200-1-2-1-1i3i3−i3−i3-1-1-1-1-1-1-1-2-2-211-200000i3−i3i3i3−i3−i3i3i3−i3−i311111-2-220021100001100000000000−i3i3-1-1−i3i300000000
χ27222222-1222-1-1-1-1-1-1222-122-12222222-1-1-1-1-1-1-1-1-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-100022000222200-1-1-1-1-1-1-1-1002000000-1-1-1-10000
χ28222222-1222-1-1-1-1-1-1222-122-12222222-1-1-1-1-1-1-1-1-1-122-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1000-2-2000-2-2-2-2001111111100-200000011110000
χ29222222-1222-1-1-1-1-1-1222-1-2-2-1222-2-2-2-2-1-1-1-1-1-1-1-1-1-122-1-21111-2-2111111112-1-1-1-100022000-2-2-2-20011111111002000000-1-1-1-10000
χ30222222-1222-1-1-1-1-1-1222-1-2-2-1222-2-2-2-2-1-1-1-1-1-1-1-1-1-122-1-21111-2-2111111112-1-1-1-1000-2-2000222200-1-1-1-1-1-1-1-100-200000011110000
χ312222-2-222-2-22-2-2-2-2222220022-2-2000022-2-2-2-22-222-2-2-20000000000000002-2-2222-2200-2220000-2-200000000000002-20000000000
χ322222-2-222-2-22-2-2-2-2222220022-2-2000022-2-2-2-22-222-2-2-20000000000000002-2-222-22-2002-2-20000220000000000000-220000000000
χ332222-2-22-1222-2-2-2-22-1-1-1222-1-211-1-1-1-1-1-11111-12-2-2-1-12-222-2-211-1-1-1-111111-1-1112-2-2002-1-1000011000000002-20-1-11-11100000000
χ342222-2-22-1222-2-2-2-22-1-1-1222-1-211-1-1-1-1-1-11111-12-2-2-1-12-222-2-211-1-1-1-111111-1-111-22200-2110000-1-100000000-22011-11-1-100000000
χ352222-2-22-1222-2-2-2-22-1-1-12-2-2-1-2111111-1-11111-12-2-2-1-122-2-222-1-11111-1-1-1-11-1-1112-2-2002-1-100001100000000-220111-1-1-100000000
χ362222-2-22-1222-2-2-2-22-1-1-12-2-2-1-2111111-1-11111-12-2-2-1-122-2-222-1-11111-1-1-1-11-1-111-22200-2110000-1-1000000002-20-1-1-111100000000
χ372222-2-22-1-2-22-2-2-2-22-1-1-1200-1211−i3−i3i3i3-1-11111-1-22211-200000i3−i3−i3−i3i3i3i3i3−i3−i3-111-1-12-2200-2-1-100001100000000000−i3i3-11i3−i300000000
χ382222-2-22-1-2-22-2-2-2-22-1-1-1200-1211−i3−i3i3i3-1-11111-1-22211-200000i3−i3−i3−i3i3i3i3i3−i3−i3-111-1-1-22-2002110000-1-100000000000i3−i31-1−i3i300000000
χ392222-2-22-1-2-22-2-2-2-22-1-1-1200-1211i3i3−i3−i3-1-11111-1-22211-200000−i3i3i3i3−i3−i3−i3−i3i3i3-111-1-12-2200-2-1-100001100000000000i3−i3-11−i3i300000000
χ402222-2-22-1-2-22-2-2-2-22-1-1-1200-1211i3i3−i3−i3-1-11111-1-22211-200000−i3i3i3i3−i3−i3−i3−i3i3i3-111-1-1-22-2002110000-1-100000000000−i3i31-1i3−i300000000
χ412222-2-2-1222-11111-1222-122-1-2-2-22222-1-11111-1-11122-1-2-1-111-2-2-1-1-1-11111-2-1-1110002200022-2-200-1-1-1-1111100-2000000-1-1110000
χ422222-2-2-1222-11111-1222-122-1-2-2-22222-1-11111-1-11122-1-2-1-111-2-2-1-1-1-11111-2-1-111000-2-2000-2-222001111-1-1-1-100200000011-1-10000
χ432222-2-2-1222-11111-1222-1-2-2-1-2-2-2-2-2-2-2-1-11111-1-11122-1211-1-1221111-1-1-1-1-2-1-11100022000-2-222001111-1-1-1-100-2000000-1-1110000
χ442222-2-2-1222-11111-1222-1-2-2-1-2-2-2-2-2-2-2-1-11111-1-11122-1211-1-1221111-1-1-1-1-2-1-111000-2-200022-2-200-1-1-1-1111100200000011-1-10000
χ452-2-2200222-2-200002-22-2-22-220002-22-2-2-2000022002-2-202-200002-22-2000002-2000002i−2i0002i−2i00002i2i−2i−2i00000000000002i−2i000000
χ462-2-2200222-2-200002-22-2-22-220002-22-2-2-2000022002-2-202-200002-22-2000002-200000−2i2i000−2i2i0000−2i−2i2i2i0000000000000−2i2i000000
χ472-2-2200222-2-200002-22-2-2-222000-22-22-2-2000022002-2-20-220000-22-22000002-2000002i−2i000−2i2i0000−2i−2i2i2i00000000000002i−2i000000
χ482-2-2200222-2-200002-22-2-2-222000-22-22-2-2000022002-2-20-220000-22-22000002-200000−2i2i0002i−2i00002i2i−2i−2i0000000000000−2i2i000000
χ492-2-2200-122-21−i3−i3i3i3-1-22-212-2-10002-22-211−i3−i3i3i3-1-1−i3i32-210-11−i3i300-11-11−i3i3−i3i30-11−i3i30002i−2i0002i−2i0000−i−iii33−3−3000000000−ii3−30000
χ502-2-2200-122-21−i3−i3i3i3-1-22-212-2-10002-22-211−i3−i3i3i3-1-1−i3i32-210-11−i3i300-11-11−i3i3−i3i30-11−i3i3000−2i2i000−2i2i0000ii−i−i−3−333000000000i−i−330000
χ512-2-2200-122-21−i3−i3i3i3-1-22-21-22-1000-22-2211−i3−i3i3i3-1-1−i3i32-2101-1i3−i3001-11-1i3−i3i3−i30-11−i3i30002i−2i000−2i2i0000ii−i−i−3−333000000000−ii3−30000
χ522-2-2200-122-21−i3−i3i3i3-1-22-21-22-1000-22-2211−i3−i3i3i3-1-1−i3i32-2101-1i3−i3001-11-1i3−i3i3−i30-11−i3i3000−2i2i0002i−2i0000−i−iii33−3−3000000000i−i−330000
χ532-2-2200-122-21i3i3−i3−i3-1-22-212-2-10002-22-211i3i3−i3−i3-1-1i3−i32-210-11i3−i300-11-11i3−i3i3−i30-11i3−i30002i−2i0002i−2i0000−i−iii−3−333000000000−ii−330000
χ542-2-2200-122-21i3i3−i3−i3-1-22-212-2-10002-22-211i3i3−i3−i3-1-1i3−i32-210-11i3−i300-11-11i3−i3i3−i30-11i3−i3000−2i2i000−2i2i0000ii−i−i33−3−3000000000i−i3−30000
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χ59444444-2-244-2-2-2-2-2-2-2-2-2-2-4-414-2-222221111111-2-2-2-2-2-2-4222222-1-1-1-1-1-1-1-1-21111000000000000000000000000000000000000000
χ60444444-2-2-4-4-2-2-2-2-2-2-2-2-2-2001-4-2-2−2i3−2i32i32i3111111122222200000−2i32i3i3i3−i3−i3i3i3−i3−i32-1-1-1-1000000000000000000000000000000000000000
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χ644444-4-4-2-244-22222-2-2-2-2-2-4-41-422222211-1-1-1-11-222-2-2-2422-2-2-2-2-1-1-1-11111211-1-1000000000000000000000000000000000000000
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χ904-4-4400-2-24-42−2i3−2i32i32i3-22-2224-41000-22-22-1-1i3i3−i3−i31-2−2i32i3-2220-22−2i32i3001-11-1i3−i3i3−i301-1i3−i3000000000000000000000000000000000000000
χ914-4-4400-2-24-42−2i3−2i32i32i3-22-222-4410002-22-2-1-1i3i3−i3−i31-2−2i32i3-22202-22i3−2i300-11-11−i3i3−i3i301-1i3−i3000000000000000000000000000000000000000
χ924-4-4400-2-24-422i32i3−2i3−2i3-22-2224-41000-22-22-1-1−i3−i3i3i31-22i3−2i3-2220-222i3−2i3001-11-1−i3i3−i3i301-1−i3i3000000000000000000000000000000000000000
χ934-4-4400-2-24-422i32i3−2i3−2i3-22-222-4410002-22-2-1-1−i3−i3i3i31-22i3−2i3-22202-2−2i32i300-11-11i3−i3i3−i301-1−i3i3000000000000000000000000000000000000000
χ944-4-4400-2-2-442−2i3−2i32i32i3-22-222001000−2i32i32i3−2i3-1-1i3i3−i3−i3122i3−2i32-2-20000000i3−i3−i3i3-333-30-11−i3i3000000000000000000000000000000000000000
χ954-4-4400-2-2-442−2i3−2i32i32i3-22-2220010002i3−2i3−2i32i3-1-1i3i3−i3−i3122i3−2i32-2-20000000−i3i3i3−i33-3-330-11−i3i3000000000000000000000000000000000000000
χ964-4-4400-2-2-4422i32i3−2i3−2i3-22-222001000−2i32i32i3−2i3-1-1−i3−i3i3i312−2i32i32-2-20000000i3−i3−i3i33-3-330-11i3−i3000000000000000000000000000000000000000
χ974-4-4400-2-2-4422i32i3−2i3−2i3-22-2220010002i3−2i3−2i32i3-1-1−i3−i3i3i312−2i32i32-2-20000000−i3i3i3−i3-333-30-11i3−i3000000000000000000000000000000000000000
χ9888-8-8008-40080000-8-444-800-40000000-440000400000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-400-4−4i34i3−4i34i34-444400200000002-22i3−2i32i3−2i3-200000000000000000000000000000000000000000000000000000000000000000
χ10088-8-800-4-400-44i3−4i34i3−4i34-444400200000002-2−2i32i3−2i32i3-200000000000000000000000000000000000000000000000000000000000000000
χ1018-88-88-8-4-4004-444-4444-4-40020-440000-222-2-22-200000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-88-4-40044-4-44444-4-400204-40000-22-222-2-200000000000000000000000000000000000000000000000000000000000000000

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