Finite Group Databasebeta

← Group #11884438

Character table — Group #11884438

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222224444444444444444444444488888888888888888888121212121212121212121212121212121212121212122424242424242424242424242472727272
order1222334444666666121212122223666666666121212121212121212124666666666121212121212121212122444446688881212242424242424242422466661212121212122488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1-111-1-1-11111-1-111111111-11-111-1-1-1-1-1-111-1-1-1-1
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
χ5111111111111111111111-1-1111-1-1-1-11111111111111-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1
χ6111111111111111111111-1-1111-1-1-1-11111111111111-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1111-1-111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-111
χ7111111111111111111111-1-1111-1-1-1-11111111111111-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-111
χ8111111111111111111111-1-1111-1-1-1-11111111111111-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111-11-1-111-1-111-1-111-1-1
χ9111111-1-111111111-1-1-1-1-1111-1-1111111111-1-11-1-1-1-11-111-1-1-11111-1-1-1-111-1-1-1-11-1111-11111-1-1-1-11111-1-1-1-11-1-1-1-111-11-1-1111-1-11
χ10111111-1-111111111-1-1-1-1-1111-1-1111111111-1-11-1-1-1-11-111-1-1-11111-1-1-1-111-1-1-1-11-11-1-1-111-1-111-1-1-1-1-1-1111111-11111-11-1-1-1-1-111-1
χ11111111-1-111111111-1-1-1-1-1111-1-1111111111-1-11-1-1-1-11-111-1-1-11111-1-1-1-111-1-1-1-1-11-1111-1-111-1-1111111-1-1-1-1-1-11-1-1-1-11-11111-111-1
χ12111111-1-111111111-1-1-1-1-1111-1-1111111111-1-11-1-1-1-11-111-1-1-11111-1-1-1-111-1-1-1-1-11-1-1-11-1-1-1-11111-1-1-1-11111-11111-1-11-111-1-11-1-11
χ13111111-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-111111111111-1111-111-1-111-1-1-1-1-1-11111-1-11-1-1-1-1-1111111-11-1
χ14111111-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-111111111111-11-1-1-11111-1-1-1-11111-1-1-1-1-11111-1-1-1111-1-1-11-11
χ15111111-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-11111111111-11-1111-1-1-1-11111-1-1-1-111111-1-1-1-1111-1-1-111-11-11
χ16111111-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-11111111111-11-1-1-11-1-111-1-1111111-1-1-1-111-111111-1-1-1-1-11-11-1
χ1722222222-2-22222222222-2002-2-20000222-2-222-22222-2000-2-2-200000000-2-200002-2-200222000022000000000000000-2-200000000
χ1822222222-2-22222222222-2002-2-20000222-2-222-22222-2000-2-2-200000000-2-20000-22200-2-2-20000-2-20000000000000002200000000
χ19222222-2-2-2-2222222-2-2-2-22002220000222-2-2-2-2-2-2-2-2-2-200022200000000-2-2000022-200-2220000-2-20000000000000002-200000000
χ20222222-2-2-2-2222222-2-2-2-22002220000222-2-2-2-2-2-2-2-2-2-200022200000000-2-20000-2-22002-2-2000022000000000000000-2200000000
χ2122222-1222222-1-1-122222222-122-1-1-1-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222002-1-10000-1-10000000020200-1-1-1-1-1-1000000
χ2222222-1222222-1-1-122222222-122-1-1-1-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-200-21100001100000000-20-200111111000000
χ2322222-1222222-1-1-1222222-2-2-1221111-1-1-1-1-1-1-12-1-1-1-12-2-2-2-1-1-1111111-2-2-1-11111222002-1-10000-1-100000000-20-20011-1-111000000
χ2422222-1222222-1-1-1222222-2-2-1221111-1-1-1-1-1-1-12-1-1-1-12-2-2-2-1-1-1111111-2-2-1-11111-2-2-200-2110000110000000020200-1-111-1-1000000
χ2522222-122-2-222-1-1-122222-200-1-2-2−i3−i3i3i3-1-1-111-1-1-2-1-1-1-1-2000111−i3−i3i3i3−i3i30011−i3−i3i3i32-2-2002-1-10000-1-10000000000000−i3i311−i3i3000000
χ2622222-122-2-222-1-1-122222-200-1-2-2−i3−i3i3i3-1-1-111-1-1-2-1-1-1-1-2000111−i3−i3i3i3−i3i30011−i3−i3i3i3-22200-2110000110000000000000i3−i3-1-1i3−i3000000
χ2722222-122-2-222-1-1-122222-200-1-2-2i3i3−i3−i3-1-1-111-1-1-2-1-1-1-1-2000111i3i3−i3−i3i3−i30011i3i3−i3−i32-2-2002-1-10000-1-10000000000000i3−i311i3−i3000000
χ2822222-122-2-222-1-1-122222-200-1-2-2i3i3−i3−i3-1-1-111-1-1-2-1-1-1-1-2000111i3i3−i3−i3i3−i30011i3i3−i3−i3-22200-2110000110000000000000−i3i3-1-1−i3i3000000
χ2922222-1-2-22222-1-1-12-2-2-2-2-222-1-2-2-1-1-1-1-1-1-1-1-111211112-222111-1-1-1-111-2-2-1-111112-2200-2-1-10000110000000020-200-1-11-111000000
χ3022222-1-2-22222-1-1-12-2-2-2-2-222-1-2-2-1-1-1-1-1-1-1-1-111211112-222111-1-1-1-111-2-2-1-11111-22-2002110000-1-100000000-2020011-11-1-1000000
χ3122222-1-2-22222-1-1-12-2-2-2-2-2-2-2-1-2-21111-1-1-1-1-1112111122-2-21111111-1-122-1-1-1-1-1-12-2200-2-1-100001100000000-20200111-1-1-1000000
χ3222222-1-2-22222-1-1-12-2-2-2-2-2-2-2-1-2-21111-1-1-1-1-1112111122-2-21111111-1-122-1-1-1-1-1-1-22-2002110000-1-10000000020-200-1-1-1111000000
χ3322222-1-2-2-2-222-1-1-12-2-2-2-2200-122−i3−i3i3i3-1-1-11111-21111-2000-1-1-1−i3−i3i3i3i3−i30011i3i3−i3−i322-200-2-1-10000110000000000000−i3i3-11i3−i3000000
χ3422222-1-2-2-2-222-1-1-12-2-2-2-2200-122−i3−i3i3i3-1-1-11111-21111-2000-1-1-1−i3−i3i3i3i3−i30011i3i3−i3−i3-2-22002110000-1-10000000000000i3−i31-1−i3i3000000
χ3522222-1-2-2-2-222-1-1-12-2-2-2-2200-122i3i3−i3−i3-1-1-11111-21111-2000-1-1-1i3i3−i3−i3−i3i30011−i3−i3i3i322-200-2-1-10000110000000000000i3−i3-11−i3i3000000
χ3622222-1-2-2-2-222-1-1-12-2-2-2-2200-122i3i3−i3−i3-1-1-11111-21111-2000-1-1-1i3i3−i3−i3−i3i30011−i3−i3i3i3-2-22002110000-1-10000000000000−i3i31-1i3−i3000000
χ372222-122222-1-1222-1-1-1-1-1222-1-1-12222-1-1-12222-1-1-1-1-1-12-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-100022000222200-1-1-1-1-1-1-1-1020-1-1000000-1-10000
χ382222-122222-1-1222-1-1-1-1-1222-1-1-12222-1-1-12222-1-1-1-1-1-12-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1000-2-2000-2-2-2-200111111110-2011000000110000
χ392222-122222-1-1222-1-1-1-1-12-2-2-1-1-1-2-2-2-2-1-1-12222-1-1-1-1-1-1-2112-1-11111-2-211-1-1111100022000-2-2-2-20011111111020-1-1000000-1-10000
χ402222-122222-1-1222-1-1-1-1-12-2-2-1-1-1-2-2-2-2-1-1-12222-1-1-1-1-1-1-2112-1-11111-2-211-1-11111000-2-2000222200-1-1-1-1-1-1-1-10-2011000000110000
χ412222-12-2-222-1-1222-11111-222-1112222-1-1-122-2-2-11111-1-2-1-1-211-1-1-1-1-2-211-1-111110002200022-2-200-1-1-1-111110-2011000000-1-10000
χ422222-12-2-222-1-1222-11111-222-1112222-1-1-122-2-2-11111-1-2-1-1-211-1-1-1-1-2-211-1-11111000-2-2000-2-222001111-1-1-1-1020-1-1000000110000
χ432222-12-2-222-1-1222-11111-2-2-2-111-2-2-2-2-1-1-122-2-2-11111-1211-211111122-1-1-1-1-1-1-1-100022000-2-222001111-1-1-1-10-2011000000-1-10000
χ442222-12-2-222-1-1222-11111-2-2-2-111-2-2-2-2-1-1-122-2-2-11111-1211-211111122-1-1-1-1-1-1-1-1000-2-200022-2-200-1-1-1-11111020-1-1000000110000
χ452-22-22200-22-2-2-22-22000002-22002-22-2-2-222-200-20000202-20002-22-200002-200000002-20002-2000022-2-20000000000000002-20000
χ462-22-22200-22-2-2-22-22000002-22002-22-2-2-222-200-20000202-20002-22-200002-20000000-22000-220000-2-222000000000000000-220000
χ472-22-22200-22-2-2-22-2200000-22200-22-22-2-222-200-2000020-22000-22-2200002-200000002-2000-220000-2-2220000000000000002-20000
χ482-22-22200-22-2-2-22-2200000-22200-22-22-2-222-200-2000020-22000-22-2200002-20000000-220002-2000022-2-2000000000000000-220000
χ492-22-2-1200-2211-22-2-1−i3−i3i3i302-2-1−i3i32-22-211-12-2001−i3−i3i3i3-10-110−i3i3-11-1100−i3i3-11−i3i3−i3i30002-20002-20000-1-111−i3−i3i3i3000−i3i3000000-110000
χ502-22-2-1200-2211-22-2-1−i3−i3i3i302-2-1−i3i32-22-211-12-2001−i3−i3i3i3-10-110−i3i3-11-1100−i3i3-11−i3i3−i3i3000-22000-22000011-1-1i3i3−i3−i3000i3−i30000001-10000
χ512-22-2-1200-2211-22-2-1−i3−i3i3i30-22-1−i3i3-22-2211-12-2001−i3−i3i3i3-101-10−i3i31-11-100i3−i3-11i3−i3i3−i30002-2000-22000011-1-1i3i3−i3−i3000−i3i3000000-110000
χ522-22-2-1200-2211-22-2-1−i3−i3i3i30-22-1−i3i3-22-2211-12-2001−i3−i3i3i3-101-10−i3i31-11-100i3−i3-11i3−i3i3−i3000-220002-20000-1-111−i3−i3i3i3000i3−i30000001-10000
χ532-22-2-1200-2211-22-2-1i3i3−i3−i302-2-1i3−i32-22-211-12-2001i3i3−i3−i3-10-110i3−i3-11-1100i3−i3-11i3−i3i3−i30002-20002-20000-1-111i3i3−i3−i3000i3−i3000000-110000
χ542-22-2-1200-2211-22-2-1i3i3−i3−i302-2-1i3−i32-22-211-12-2001i3i3−i3−i3-10-110i3−i3-11-1100i3−i3-11i3−i3i3−i3000-22000-22000011-1-1−i3−i3i3i3000−i3i30000001-10000
χ552-22-2-1200-2211-22-2-1i3i3−i3−i30-22-1i3−i3-22-2211-12-2001i3i3−i3−i3-101-10i3−i31-11-100−i3i3-11−i3i3−i3i30002-2000-22000011-1-1−i3−i3i3i3000i3−i3000000-110000
χ562-22-2-1200-2211-22-2-1i3i3−i3−i30-22-1i3−i3-22-2211-12-2001i3i3−i3−i3-101-10i3−i31-11-100−i3i3-11−i3i3−i3i3000-220002-20000-1-111i3i3−i3−i3000−i3i30000001-10000
χ574444-2444-4-4-2-2444-2-2-2-2-2-400-2220000-2-2-2-4-4442-2-2-2-22000-42200000000220000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-2444-22222400-2-2-20000-2-2-2-4-4-4-42222220004-2-200000000220000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-2-2-2-2-24441-2-2-2-2-2-2111-2-2-2-2-21111-24-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000
χ604444-2-24444-2-2-2-2-2-2-2-2-2-24-4-41-2-22222111-2-2-2-2-21111-2-422-211-1-1-1-1222211-1-1-1-1000000000000000000000000000000000000000
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χ624444-2-244-4-4-2-2-2-2-2-2-2-2-2-2-4001222i32i3−2i3−2i311122-2-22111120002-1-1−i3−i3i3i32i3−2i300-1-1−i3−i3i3i3000000000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-22222-444122-2-2-2-2111-2-222-2-1-1-1-1-2-4-2-22-1-11111222211-1-1-1-1000000000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-22222-4-4-41222222111-2-222-2-1-1-1-1-24222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-222224001-2-2−2i3−2i32i32i311122222-1-1-1-12000-211i3i3−i3−i32i3−2i300-1-1−i3−i3i3i3000000000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-222224001-2-22i32i3−2i3−2i311122222-1-1-1-12000-211−i3−i3i3i3−2i32i300-1-1i3i3−i3−i3000000000000000000000000000000000000000
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χ6844-4-444−4i4i004-44-4-4-4−4i4i−4i4i00040000004-4-400−4i4i0−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ6944-4-44-24i−4i004-4-222-44i−4i4i−4i000-2000000-22200−2i2i0−2i2i−2i2i000000000000000000000000000−2i32i3000023−230000000000000000000000000
χ7044-4-44-24i−4i004-4-222-44i−4i4i−4i000-2000000-22200−2i2i0−2i2i−2i2i0000000000000000000000000002i3−2i30000−23230000000000000000000000000
χ7144-4-44-2−4i4i004-4-222-4−4i4i−4i4i000-2000000-222002i−2i02i−2i2i−2i000000000000000000000000000−2i32i30000−23230000000000000000000000000
χ7244-4-44-2−4i4i004-4-222-4−4i4i−4i4i000-2000000-222002i−2i02i−2i2i−2i0000000000000000000000000002i3−2i3000023−230000000000000000000000000
χ7344-4-4-244i−4i00-224-4-42−2i2i−2i2i000-2000000-222004i−4i0−2i2i−2i2i000000000000000000000000000000000006−66−6i6−i6i6−i600000000000000000
χ7444-4-4-244i−4i00-224-4-42−2i2i−2i2i000-2000000-222004i−4i0−2i2i−2i2i00000000000000000000000000000000000−66−66−i6i6−i6i600000000000000000
χ7544-4-4-24−4i4i00-224-4-422i−2i2i−2i000-2000000-22200−4i4i02i−2i2i−2i000000000000000000000000000000000006−66−6−i6i6−i6i600000000000000000
χ7644-4-4-24−4i4i00-224-4-422i−2i2i−2i000-2000000-22200−4i4i02i−2i2i−2i00000000000000000000000000000000000−66−66i6−i6i6−i600000000000000000
χ774-44-444004-4-4-4-44-4400000004000000-4-44-440040000-400000000000000-440000000000000000000000000000000000000000000
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χ804-44-44-200-44-4-42-224000004-4-200-22-2222-2-2200-40000404-4000-22-220000-220000000000000000000000000000000000000000000
χ814-44-44-200-44-4-42-22400000-44-2002-22-222-2-2200-4000040-440002-22-20000-220000000000000000000000000000000000000000000
χ824-44-4-24004-422-44-4-2−2i3−2i32i32i3000-22i3−2i3000022-2-4400-2−2i3−2i32i32i3200002i3−2i3000000002-20000000000000000000000000000000000000000000
χ834-44-4-24004-422-44-4-22i32i3−2i3−2i3000-2−2i32i3000022-2-4400-22i32i3−2i3−2i320000−2i32i3000000002-20000000000000000000000000000000000000000000
χ844-44-4-2-2004-4222-22-2−2i3−2i32i32i300012i3−2i3−2i32i32i3−2i3-1-112-200-2i3i3−i3−i320000−i3i3i3−i3−i3i30000-11-333-3000000000000000000000000000000000000000
χ854-44-4-2-2004-4222-22-2−2i3−2i32i32i300012i3−2i32i3−2i3−2i32i3-1-112-200-2i3i3−i3−i320000−i3i3−i3i3i3−i30000-113-3-33000000000000000000000000000000000000000
χ864-44-4-2-2004-4222-22-22i32i3−2i3−2i30001−2i32i3−2i32i32i3−2i3-1-112-200-2−i3−i3i3i320000i3−i3i3−i3−i3i30000-113-3-33000000000000000000000000000000000000000
χ874-44-4-2-2004-4222-22-22i32i3−2i3−2i30001−2i32i32i3−2i3−2i32i3-1-112-200-2−i3−i3i3i320000i3−i3−i3i3i3−i30000-11-333-3000000000000000000000000000000000000000
χ884-44-4-2-200-44222-22-2−2i3−2i32i32i304-41−2i32i3-22-22-1-11-22002i3i3−i3−i3-20-220i3−i31-11-100−2i32i31-1i3−i3i3−i3000000000000000000000000000000000000000
χ894-44-4-2-200-44222-22-2−2i3−2i32i32i30-441−2i32i32-22-2-1-11-22002i3i3−i3−i3-202-20i3−i3-11-11002i3−2i31-1−i3i3−i3i3000000000000000000000000000000000000000
χ904-44-4-2-200-44222-22-22i32i3−2i3−2i304-412i3−2i3-22-22-1-11-22002−i3−i3i3i3-20-220−i3i31-11-1002i3−2i31-1−i3i3−i3i3000000000000000000000000000000000000000
χ914-44-4-2-200-44222-22-22i32i3−2i3−2i30-4412i3−2i32-22-2-1-11-22002−i3−i3i3i3-202-20−i3i3-11-1100−2i32i31-1i3−i3i3−i3000000000000000000000000000000000000000
χ924-4-44440000-44-4-44-400000004000000-44-4000000000000000000000000000000000000000022−2200000022−22−222200000000000000000
χ934-4-44440000-44-4-44-400000004000000-44-40000000000000000000000000000000000000000−2222000000−222222−2200000000000000000
χ944-4-44-2400002-2-4-44223−23−2323000-20000002-220000023−23−2323000000000000000000000000000000022−2200−666−6−222−200000000000000000
χ954-4-44-2400002-2-4-44223−23−2323000-20000002-220000023−23−23230000000000000000000000000000000−2222006−6−662−2−2200000000000000000
χ964-4-44-2400002-2-4-442−232323−23000-20000002-2200000−232323−23000000000000000000000000000000022−22006−6−66−222−200000000000000000
χ974-4-44-2400002-2-4-442−232323−23000-20000002-2200000−232323−230000000000000000000000000000000−222200−666−62−2−2200000000000000000
χ9888-8-8-4-48i−8i00-44-4444−4i4i−4i4i00020000002-2-200−4i4i02i−2i2i−2i000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4−8i8i00-44-44444i−4i4i−4i00020000002-2-2004i−4i0−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ1008-8-888-40000-8844-4-80000000-40000004-44000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-400004-444-4443−43−43430002000000-22-200000−232323−23000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-400004-444-44−434343−430002000000-22-20000023−23−2323000000000000000000000000000000000000000000000000000000000000

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