Finite Group Databasebeta

← Group #11889406

Character table — Group #11889406

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222224444444444444444444444488888888888888888888121212121212121212121212121212121212121212122424242424242424242424242472727272
order1222223344666666666634446666666661212121212121212121241212121212121212121212121212121212121224444466888812122424242424242424444121212121212121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1111111111-1-1-1-1-11111-1-1-1-1-1-1-1
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
χ51111111111111111111111-1-111111111111111-1-1-1-11-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-11-1-111111-1-111-1-1
χ61111111111111111111111-1-111111111111111-1-1-1-11-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1111111111111111111-1-1-11-1-1-1-1-1-11-1-1-1-111
χ71111111111111111111111-1-111111111111111-1-1-1-11-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111111-111-1-111
χ81111111111111111111111-1-111111111111111-1-1-1-11-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-111-111-1-1-1-1-11111-1-1
χ91111-1-111111-1-1-1-1111111-111-1-111-1-1-1-111-1-11111111-111-1-1-1-1-111-1-11111-1-1-1-11-111-111111-1-1-1-11111-1-1-1-1-1-11-1-1-111-1-11111-1-11
χ101111-1-111111-1-1-1-1111111-111-1-111-1-1-1-111-1-11111111-111-1-1-1-1-111-1-11111-1-1-1-11-1-1-1-1111-1-111-1-1-1-1-1-111111-11-1-1-1-1-111111-111-1
χ111111-1-111111-1-1-1-1111111-111-1-111-1-1-1-111-1-11111111-111-1-1-1-1-111-1-11111-1-1-1-1-11111-1-1-111-1-1111111-1-1-1-1-11-111111-1-1-1-1-1-111-1
χ121111-1-111111-1-1-1-1111111-111-1-111-1-1-1-111-1-11111111-111-1-1-1-1-111-1-11111-1-1-1-1-11-1-11-1-1-1-1-11111-1-1-1-1111111-1111-1-111-1-1-11-1-11
χ131111-1-111111-1-1-1-1111111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-111-11111-1-1-1-1-1-111111-111-1111-1-111-1-1-1-1-1-11111-11-1-11111-1-11-1-11-11-1
χ141111-1-111111-1-1-1-1111111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-111-11111-1-1-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-1111-1-1-11-11
χ151111-1-111111-1-1-1-1111111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-111-11111-1-1-1-1-1-11111-11111-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-111-11-11
χ161111-1-111111-1-1-1-1111111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-111-11111-1-1-1-1-1-11111-11-1-11-1-1-111-1-1111111-1-1-1-11-111-1-1-1-111-1111-11-1
χ1722222222-2-222222222222-200222222222-2-2-2-2-20000-200000-200-2-2-2-2000000002200-2-22200002200000000000-2000000-2000000
χ1822222222-2-222222222222-200222222222-2-2-2-2-20000-200000-200-2-2-2-200000000-2-20022-2-20000-2-20000000000020000002000000
χ192222222-12222222-12-12-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220022-1-10000-1-100000000022-1-1-10000-1-1-10000
χ202222222-12222222-12-12-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-211000011000000000-2-211100001110000
χ212222222-12222222-12-12-1-12-2-2-1-1-1-1-1-1-1-1-1222-1-111112-2-2-2-2-2-111-1-1-1-111111111220022-1-10000-1-1000000000-2-2-1110000-1110000
χ222222222-12222222-12-12-1-12-2-2-1-1-1-1-1-1-1-1-1222-1-111112-2-2-2-2-2-111-1-1-1-111111111-2-200-2-211000011000000000221-1-100001-1-10000
χ232222222-1-2-222222-12-12-1-1-200-1-1-1-1-1-1-1-1-1-2-2-211−i3−i3i3i3-2000001−i3i31111−i3−i3i3i3−i3−i3i3i32200-2-2-1-10000-1-1000000000001−i3i300001−i3i30000
χ242222222-1-2-222222-12-12-1-1-200-1-1-1-1-1-1-1-1-1-2-2-211−i3−i3i3i3-2000001−i3i31111−i3−i3i3i3−i3−i3i3i3-2-200221100001100000000000-1i3−i30000-1i3−i30000
χ252222222-1-2-222222-12-12-1-1-200-1-1-1-1-1-1-1-1-1-2-2-211i3i3−i3−i3-2000001i3−i31111i3i3−i3−i3i3i3−i3−i32200-2-2-1-10000-1-1000000000001i3−i300001i3−i30000
χ262222222-1-2-222222-12-12-1-1-200-1-1-1-1-1-1-1-1-1-2-2-211i3i3−i3−i3-2000001i3−i31111i3i3−i3−i3i3i3−i3−i3-2-200221100001100000000000-1−i3i30000-1−i3i30000
χ27222222-1222-1-1-1-1-12-12-12-122222-1-1-1-1-1-1-1-1-1-1222222-12-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100220000222200-1-1-1-1-1-1-1-1200000-1-1-1-10000000
χ28222222-1222-1-1-1-1-12-12-12-122222-1-1-1-1-1-1-1-1-1-1222222-12-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-100-2-20000-2-2-2-20011111111-20000011110000000
χ29222222-1222-1-1-1-1-12-12-12-12-2-222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-211112-2-2-1-1-1-11111111100220000-2-2-2-20011111111200000-1-1-1-10000000
χ30222222-1222-1-1-1-1-12-12-12-12-2-222-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-211112-2-2-1-1-1-11111111100-2-20000222200-1-1-1-1-1-1-1-1-20000011110000000
χ312222-2-222-2-22-2-2-2-2222222200-2-222-2-2-2-22-222-2-20000-200000200-2-222000000002-2002-2220000-2-2000000000002000000-2000000
χ322222-2-222-2-22-2-2-2-2222222200-2-222-2-2-2-22-222-2-20000-200000200-2-22200000000-2200-22-2-200002200000000000-20000002000000
χ332222-2-22-1222-2-2-2-2-12-12-1-1-22211-1-11111-12-2-2-1-1-1-1-1-12-222-2-2111-1-111-1-1-1-111112-200-22-1-1000011000000000-221110000-1-1-10000
χ342222-2-22-1222-2-2-2-2-12-12-1-1-22211-1-11111-12-2-2-1-1-1-1-1-12-222-2-2111-1-111-1-1-1-11111-22002-2110000-1-10000000002-2-1-1-100001110000
χ352222-2-22-1222-2-2-2-2-12-12-1-1-2-2-211-1-11111-12-2-2-1-1111122-2-2221-1-1-1-1111111-1-1-1-12-200-22-1-10000110000000002-21-1-10000-1110000
χ362222-2-22-1222-2-2-2-2-12-12-1-1-2-2-211-1-11111-12-2-2-1-1111122-2-2221-1-1-1-1111111-1-1-1-1-22002-2110000-1-1000000000-22-11100001-1-10000
χ372222-2-22-1-2-22-2-2-2-2-12-12-1-120011-1-11111-1-22211−i3−i3i3i3-200000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i32-2002-2-1-100001100000000000-1i3−i300001−i3i30000
χ382222-2-22-1-2-22-2-2-2-2-12-12-1-120011-1-11111-1-22211−i3−i3i3i3-200000-1i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-2200-22110000-1-1000000000001−i3i30000-1i3−i30000
χ392222-2-22-1-2-22-2-2-2-2-12-12-1-120011-1-11111-1-22211i3i3−i3−i3-200000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i32-2002-2-1-100001100000000000-1−i3i300001i3−i30000
χ402222-2-22-1-2-22-2-2-2-2-12-12-1-120011-1-11111-1-22211i3i3−i3−i3-200000-1−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-2200-22110000-1-1000000000001i3−i30000-1−i3i30000
χ412222-2-2-1222-111112-12-12-1-222-2-2-1-11111-1-111222222-1-2-1-111-2-2-2-1-111-1-1-1-111110022000022-2-200-1-1-1-11111-200000-1-1110000000
χ422222-2-2-1222-111112-12-12-1-222-2-2-1-11111-1-111222222-1-2-1-111-2-2-2-1-111-1-1-1-1111100-2-20000-2-222001111-1-1-1-120000011-1-10000000
χ432222-2-2-1222-111112-12-12-1-2-2-2-2-2-1-11111-1-11122-2-2-2-2-1211-1-1-222-1-1111111-1-1-1-100220000-2-222001111-1-1-1-1-200000-1-1110000000
χ442222-2-2-1222-111112-12-12-1-2-2-2-2-2-1-11111-1-11122-2-2-2-2-1211-1-1-222-1-1111111-1-1-1-100-2-2000022-2-200-1-1-1-1111120000011-1-10000000
χ452-2-2200222-2-20000-22-2-22202-200-2-2000022002-22-22-2-202-2000002-2002-22-20000002i−2i00002i−2i00002i2i−2i−2i00000000002i−2i000000000
χ462-2-2200222-2-20000-22-2-22202-200-2-2000022002-22-22-2-202-2000002-2002-22-2000000−2i2i0000−2i2i0000−2i−2i2i2i0000000000−2i2i000000000
χ472-2-2200222-2-20000-22-2-2220-2200-2-2000022002-2-22-22-20-22000002-200-22-220000002i−2i0000−2i2i0000−2i−2i2i2i00000000002i−2i000000000
χ482-2-2200222-2-20000-22-2-2220-2200-2-2000022002-2-22-22-20-22000002-200-22-22000000−2i2i00002i−2i00002i2i−2i−2i0000000000−2i2i000000000
χ492-2-2200-122-21−i3−i3i3i3-2-1-212-102-20011−i3−i3i3i3-1-1−i3i32-22-22-210-11−i3i3000-11−i3i3-11-11−i3i3−i3i3002i−2i00002i−2i0000−i−iii33−3−3000000−ii3−30000000
χ502-2-2200-122-21−i3−i3i3i3-2-1-212-102-20011−i3−i3i3i3-1-1−i3i32-22-22-210-11−i3i3000-11−i3i3-11-11−i3i3−i3i300−2i2i0000−2i2i0000ii−i−i−3−333000000i−i−330000000
χ512-2-2200-122-21−i3−i3i3i3-2-1-212-10-220011−i3−i3i3i3-1-1−i3i32-2-22-22101-1i3−i3000-11−i3i31-11-1i3−i3i3−i3002i−2i0000−2i2i0000ii−i−i−3−333000000−ii3−30000000
χ522-2-2200-122-21−i3−i3i3i3-2-1-212-10-220011−i3−i3i3i3-1-1−i3i32-2-22-22101-1i3−i3000-11−i3i31-11-1i3−i3i3−i300−2i2i00002i−2i0000−i−iii33−3−3000000i−i−330000000
χ532-2-2200-122-21i3i3−i3−i3-2-1-212-102-20011i3i3−i3−i3-1-1i3−i32-22-22-210-11i3−i3000-11i3−i3-11-11i3−i3i3−i3002i−2i00002i−2i0000−i−iii−3−333000000−ii−330000000
χ542-2-2200-122-21i3i3−i3−i3-2-1-212-102-20011i3i3−i3−i3-1-1i3−i32-22-22-210-11i3−i3000-11i3−i3-11-11i3−i3i3−i300−2i2i0000−2i2i0000ii−i−i33−3−3000000i−i3−30000000
χ552-2-2200-122-21i3i3−i3−i3-2-1-212-10-220011i3i3−i3−i3-1-1i3−i32-2-22-22101-1−i3i3000-11i3−i31-11-1−i3i3−i3i3002i−2i0000−2i2i0000ii−i−i33−3−3000000−ii−330000000
χ562-2-2200-122-21i3i3−i3−i3-2-1-212-10-220011i3i3−i3−i3-1-1i3−i32-2-22-22101-1−i3i3000-11i3−i31-11-1−i3i3−i3i300−2i2i00002i−2i0000−i−iii−3−333000000i−i3−30000000
χ57444444-24-4-4-2-2-2-2-24-24-24-2-40044-2-2-2-2-2-2-2222-4-40000200000-400222200000000000000000000000000000000000000000000000
χ58444444-2-244-2-2-2-2-2-2-2-2-2-21444-2-21111111-2-2-2-2-2-2-2-2-2-24-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000000
χ59444444-2-244-2-2-2-2-2-2-2-2-2-214-4-4-2-21111111-2-2-2-2-22222-2-42222-2221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000
χ60444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-400-2-2111111122222−2i3−2i32i32i32000002−2i32i3-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000
χ61444444-2-2-4-4-2-2-2-2-2-2-2-2-2-21-400-2-21111111222222i32i3−2i3−2i320000022i3−2i3-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000
χ624444-4-4-24-4-4-222224-24-24-2400-4-4-2-22222-22-2-2-4-4000020000040022-2-200000000000000000000000000000000000000000000000
χ634444-4-4-2-244-22222-2-2-2-2-21-4442211-1-1-1-11-222-2-2-2-2-2-2-2-4-2-22222211-1-11111-1-1-1-1000000000000000000000000000000000000000
χ644444-4-4-2-244-22222-2-2-2-2-21-4-4-42211-1-1-1-11-222-2-22222-2422-2-22-2-211-1-1-1-1-1-11111000000000000000000000000000000000000000
χ654444-4-4-2-2-4-4-22222-2-2-2-2-214002211-1-1-1-112-2-222−2i3−2i32i32i3200000-22i3−2i3-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000
χ664444-4-4-2-2-4-4-22222-2-2-2-2-214002211-1-1-1-112-2-2222i32i3−2i3−2i3200000-2−2i32i3-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000
χ6744-4-44-44400-44-44-44-4-44-440004-44-44-44-4-4000000000000000000000000000000000000000000000000000000000000000000000
χ6844-4-44-44-200-44-44-4-2-4242-2000-22-22-22-222000000000000000000000000000000000000−2i32i30000−2i32i30000000000000000000000000
χ6944-4-44-44-200-44-44-4-2-4242-2000-22-22-22-2220000000000000000000000000000000000002i3−2i300002i3−2i30000000000000000000000000
χ7044-4-44-4-24002-22-2242-4-2-4-20004-4-22-22-222000000000000000000000000000000000000000000006−66−66−66−600000000000000000
χ7144-4-44-4-24002-22-2242-4-2-4-20004-4-22-22-22200000000000000000000000000000000000000000000−66−66−66−6600000000000000000
χ7244-4-4-444400-4-44-444-4-44-44000-444-4-44-44-4000000000000000000000000000000000000000000000000000000000000000000000
χ7344-4-4-444-200-4-44-44-2-4242-20002-2-222-22-22000000000000000000000000000000000000−2i32i300002i3−2i30000000000000000000000000
χ7444-4-4-444-200-4-44-44-2-4242-20002-2-222-22-220000000000000000000000000000000000002i3−2i30000−2i32i30000000000000000000000000
χ7544-4-4-44-240022-22-242-4-2-4-2000-44-222-22-22000000000000000000000000000000000000000000006−66−6−66−6600000000000000000
χ7644-4-4-44-240022-22-242-4-2-4-2000-44-222-22-2200000000000000000000000000000000000000000000−66−666−66−600000000000000000
χ774-44-400440040000-4-44-4-4400000-440000-4000000000000000000000000000000000000000022−2200000022−22−222200000000000000000
χ784-44-400440040000-4-44-4-4400000-440000-40000000000000000000000000000000000000000−2222000000−222222−2200000000000000000
χ794-44-400-2400-2−2i32i32i3−2i3-4242-4-2000002-2−2i32i32i3−2i32000000000000000000000000000000000000000022−2200−i6i6i6−i6−222−200000000000000000
χ804-44-400-2400-2−2i32i32i3−2i3-4242-4-2000002-2−2i32i32i3−2i320000000000000000000000000000000000000000−222200i6−i6−i6i62−2−2200000000000000000
χ814-44-400-2400-22i3−2i3−2i32i3-4242-4-2000002-22i3−2i3−2i32i32000000000000000000000000000000000000000022−2200i6−i6−i6i6−222−200000000000000000
χ824-44-400-2400-22i3−2i3−2i32i3-4242-4-2000002-22i3−2i3−2i32i320000000000000000000000000000000000000000−222200−i6i6i6−i62−2−2200000000000000000
χ834-4-440044-44-40000-44-4-44400000-4-400004-400-440000400000000-440000000000000000000000000000000000000000000000000
χ844-4-44004-24-4-40000242-4-2-204-400220000-2400-22-22-22-404-400000-2200-22-220000000000000000000000000000000000000000000
χ854-4-44004-24-4-40000242-4-2-20-4400220000-2400-222-22-2-40-4400000-22002-22-20000000000000000000000000000000000000000000
χ864-4-44004-2-44-40000242-4-2-200000220000-2-4002-2−2i32i32i3−2i34000000002-200−2i32i32i3−2i30000000000000000000000000000000000000000000
χ874-4-44004-2-44-40000242-4-2-200000220000-2-4002-22i3−2i3−2i32i34000000002-2002i3−2i3−2i32i30000000000000000000000000000000000000000000
χ884-4-4400-24-442−2i3−2i32i32i3-4-2-424-20000022−2i3−2i32i32i3-222i3−2i3-440000-2000000002-22i3−2i300000000000000000000000000000000000000000000000
χ894-4-4400-24-4422i32i3−2i3−2i3-4-2-424-200000222i32i3−2i3−2i3-22−2i32i3-440000-2000000002-2−2i32i300000000000000000000000000000000000000000000000
χ904-4-4400-2-24-42−2i3−2i32i32i32-222-2104-400-1-1i3i3−i3−i31-2−2i32i3-22-22-2220-22−2i32i30001-1i3−i31-11-1i3−i3i3−i3000000000000000000000000000000000000000
χ914-4-4400-2-24-42−2i3−2i32i32i32-222-210-4400-1-1i3i3−i3−i31-2−2i32i3-222-22-2202-22i3−2i30001-1i3−i3-11-11−i3i3−i3i3000000000000000000000000000000000000000
χ924-4-4400-2-24-422i32i3−2i3−2i32-222-2104-400-1-1−i3−i3i3i31-22i3−2i3-22-22-2220-222i3−2i30001-1−i3i31-11-1−i3i3−i3i3000000000000000000000000000000000000000
χ934-4-4400-2-24-422i32i3−2i3−2i32-222-210-4400-1-1−i3−i3i3i31-22i3−2i3-222-22-2202-2−2i32i30001-1−i3i3-11-11i3−i3i3−i3000000000000000000000000000000000000000
χ944-4-4400-2-2-442−2i3−2i32i32i32-222-2100000-1-1i3i3−i3−i3122i3−2i32-2−2i32i32i3−2i3-200000000-11−i3i3i3−i3−i3i3-333-3000000000000000000000000000000000000000
χ954-4-4400-2-2-442−2i3−2i32i32i32-222-2100000-1-1i3i3−i3−i3122i3−2i32-22i3−2i3−2i32i3-200000000-11−i3i3−i3i3i3−i33-3-33000000000000000000000000000000000000000
χ964-4-4400-2-2-4422i32i3−2i3−2i32-222-2100000-1-1−i3−i3i3i312−2i32i32-2−2i32i32i3−2i3-200000000-11i3−i3i3−i3−i3i33-3-33000000000000000000000000000000000000000
χ974-4-4400-2-2-4422i32i3−2i3−2i32-222-2100000-1-1−i3−i3i3i312−2i32i32-22i3−2i3−2i32i3-200000000-11i3−i3−i3i3i3−i3-333-3000000000000000000000000000000000000000
χ9888-8-88-8-4-4004-44-44-444-442000-442-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-88-4-40044-44-4-444-4420004-42-2-22-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-400800004-8-4-84-4000004-400004000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-400-4−4i34i34i3−4i344-444200000-222i3−2i3−2i32i3-2000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-400-44i3−4i3−4i34i344-444200000-22−2i32i32i3−2i3-2000000000000000000000000000000000000000000000000000000000000000000000

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