Finite Group Databasebeta

← Group #11884593

Character table — Group #11884593

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222224444444444444444444444488888888888888888888121212121212121212121212121212121212121212122424242424242424242424242472727272
order1222334444666666121212122223666666666121212121212121212124666666666121212121212121212122444448888121212122424242424242424244666121212121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1111-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111111-1-1-111-1-1-111-1-1-1-1-1-1
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
χ5111111111111111111111-1-11-1-1-1-1111111111111111-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-11111-1-111-1-111-1-1
χ6111111111111111111111-1-11-1-1-1-1111111111111111-11-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111111111111111-1-1-11-1-11-1-1-1-1-1-1-1-111
χ7111111111111111111111-1-11-1-1-1-1111111111111111-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1111111-1-111
χ8111111111111111111111-1-11-1-1-1-1111111111111111-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-111-1-1-1-111-1-11111-1-1
χ9111111-1-111111111-1-1-1-1-11111111-1-1111111-1-1-1-1-1-11-1-111-1-11111-1-1-1-111-1-1-1-11-1-111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-11111-11-11
χ10111111-1-111111111-1-1-1-1-11111111-1-1111111-1-1-1-1-1-11-1-111-1-11111-1-1-1-111-1-1-1-11-1-11-1-1-1-111-1-111-1-1-1-111111-11111-1-1-1-1-1111-11-1
χ11111111-1-111111111-1-1-1-1-11111111-1-1111111-1-1-1-1-1-11-1-111-1-11111-1-1-1-111-1-1-1-1-111-11111-1-111-1-11111-1-1-1-1-11-1-1-1-111111-1-11-11-1
χ12111111-1-111111111-1-1-1-1-11111111-1-1111111-1-1-1-1-1-11-1-111-1-11111-1-1-1-111-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1111111-1-111111-1-1-1-1-11-11
χ13111111-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111111-1-1111-1-111-1-111-1-1-1-11111-11-11-1-1-11111-1-1-111-1
χ14111111-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111111-1-11-1-111-1-1-1-1111111-1-1-1-111-1111-111-1-1-1-11-1-11
χ15111111-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111111-111-111-1-11111-1-1-1-1-1-11111-1-11-1-1-11-1-111111-1-11
χ16111111-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111111-111-1-1-111-1-111-1-11111-1-1-1-11-11-1111-1-1-1-111-111-1
χ1722222222-2-22222222222-20020000-2-2222-2-2-2222222-20-200-2-200000000-2-2000022-2-2000000-2-2-2-20000000000020020000000000
χ1822222222-2-22222222222-20020000-2-2222-2-2-2222222-20-200-2-200000000-2-20000-2-222000000222200000000000-200-20000000000
χ19222222-2-2-2-2222222-2-2-2-22002000022222-2-2-2-2-2-2-2-2-2-202002200000000-2-200002-22-200000022-2-200000000000200-20000000000
χ20222222-2-2-2-2222222-2-2-2-22002000022222-2-2-2-2-2-2-2-2-2-202002200000000-2-20000-22-22000000-2-22200000000000-20020000000000
χ2122222-12222-1-122-12-1-1-1-1222-12222-1-1-1-1-1-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100002222220000-1-1-1-1-1-1-1-12000-1-1000-1-1000000
χ2222222-12222-1-122-12-1-1-1-1222-12222-1-1-1-1-1-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-2-2-2000011111111-20001100011000000
χ2322222-12222-1-122-12-1-1-1-12-2-2-1-2-2-2-2-1-1-1-1-1-12222-1-1-1-1-1-2211-1-1111111-2-2-1-11111000022-2-2-2-20000111111112000-1-1000-1-1000000
χ2422222-12222-1-122-12-1-1-1-12-2-2-1-2-2-2-2-1-1-1-1-1-12222-1-1-1-1-1-2211-1-1111111-2-2-1-111110000-2-222220000-1-1-1-1-1-1-1-1-20001100011000000
χ2522222-1-2-222-1-122-121111-222-1222211-1-1-1-122-2-21111-1-2-2-1-111-1-1-1-111-2-2-1-1111100002222-2-20000-1-1-1-11111-200011000-1-1000000
χ2622222-1-2-222-1-122-121111-222-1222211-1-1-1-122-2-21111-1-2-2-1-111-1-1-1-111-2-2-1-111110000-2-2-2-22200001111-1-1-1-12000-1-100011000000
χ2722222-1-2-222-1-122-121111-2-2-2-1-2-2-2-211-1-1-1-122-2-21111-12-211111111-1-122-1-1-1-1-1-1000022-2-22200001111-1-1-1-1-200011000-1-1000000
χ2822222-1-2-222-1-122-121111-2-2-2-1-2-2-2-211-1-1-1-122-2-21111-12-211111111-1-122-1-1-1-1-1-10000-2-222-2-20000-1-1-1-111112000-1-100011000000
χ292222-12222222-1-12-12222222-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222000000-1-1-1-100000000022-100-1-1-100-1-10000
χ302222-12222222-1-12-12222222-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-20000001111000000000-2-210011100110000
χ312222-12222222-1-12-122222-2-2-1111122-1-1-12-1-1-1-1-1-1-1-12-2-1-2-2-1-11111-2-211-1-111112222000000-1-1-1-1000000000-2-2-100-11100110000
χ322222-12222222-1-12-122222-2-2-1111122-1-1-12-1-1-1-1-1-1-1-12-2-1-2-2-1-11111-2-211-1-11111-2-2-2-20000001111000000000221001-1-100-1-10000
χ332222-1222-2-222-1-12-12222-200-1−i3−i3i3i3-2-2-1-1-1-211-1-1-1-1-1-1-2010011−i3−i3i3i300−i3i311−i3−i3i3i322-2-2000000111100000000000-100-1−i3i300−i3i30000
χ342222-1222-2-222-1-12-12222-200-1−i3−i3i3i3-2-2-1-1-1-211-1-1-1-1-1-1-2010011−i3−i3i3i300−i3i311−i3−i3i3i3-2-222000000-1-1-1-1000000000001001i3−i300i3−i30000
χ352222-1222-2-222-1-12-12222-200-1i3i3−i3−i3-2-2-1-1-1-211-1-1-1-1-1-1-2010011i3i3−i3−i300i3−i311i3i3−i3−i322-2-2000000111100000000000-100-1i3−i300i3−i30000
χ362222-1222-2-222-1-12-12222-200-1i3i3−i3−i3-2-2-1-1-1-211-1-1-1-1-1-1-2010011i3i3−i3−i300i3−i311i3i3−i3−i3-2-222000000-1-1-1-1000000000001001−i3i300−i3i30000
χ372222-12-2-22222-1-12-1-2-2-2-2-222-1-1-1-1-1-2-2-1-1-12-1-11111112-212211-1-1-1-1-2-211-1-111112-2-2200000011-1-1000000000-22-10011100-1-10000
χ382222-12-2-22222-1-12-1-2-2-2-2-222-1-1-1-1-1-2-2-1-1-12-1-11111112-212211-1-1-1-1-2-211-1-11111-222-2000000-1-1110000000002-2100-1-1-100110000
χ392222-12-2-22222-1-12-1-2-2-2-2-2-2-2-11111-2-2-1-1-12-1-1111111221-2-211111122-1-1-1-1-1-1-1-12-2-2200000011-1-10000000002-2-1001-1-100110000
χ402222-12-2-22222-1-12-1-2-2-2-2-2-2-2-11111-2-2-1-1-12-1-1111111221-2-211111122-1-1-1-1-1-1-1-1-222-2000000-1-111000000000-22100-11100-1-10000
χ412222-12-2-2-2-222-1-12-1-2-2-2-2200-1−i3−i3i3i322-1-1-1-211111111-20-100-1-1−i3−i3i3i300i3−i311i3i3−i3−i32-22-2000000-1-11100000000000-1001i3−i300−i3i30000
χ422222-12-2-2-2-222-1-12-1-2-2-2-2200-1−i3−i3i3i322-1-1-1-211111111-20-100-1-1−i3−i3i3i300i3−i311i3i3−i3−i3-22-2200000011-1-100000000000100-1−i3i300i3−i30000
χ432222-12-2-2-2-222-1-12-1-2-2-2-2200-1i3i3−i3−i322-1-1-1-211111111-20-100-1-1i3i3−i3−i300−i3i311−i3−i3i3i32-22-2000000-1-11100000000000-1001−i3i300i3−i30000
χ442222-12-2-2-2-222-1-12-1-2-2-2-2200-1i3i3−i3−i322-1-1-1-211111111-20-100-1-1i3i3−i3−i300−i3i311−i3−i3i3i3-22-2200000011-1-100000000000100-1i3−i300−i3i30000
χ452-2-222200-22-2-2-2-222000002-222-22-200-2-22-22-20000002002-2002-22-200002-2000000002-22-200000022-2-200000000000002-2000000
χ462-2-222200-22-2-2-2-222000002-222-22-200-2-22-22-20000002002-2002-22-200002-200000000-22-22000000-2-2220000000000000-22000000
χ472-2-222200-22-2-2-2-22200000-222-22-2200-2-22-22-2000000200-2200-22-2200002-2000000002-2-22000000-2-22200000000000002-2000000
χ482-2-222200-22-2-2-2-22200000-222-22-2200-2-22-22-2000000200-2200-22-2200002-200000000-222-200000022-2-20000000000000-22000000
χ492-2-222-100-2211-2-2-12−i3−i3i3i302-2-12-22-2−i3i311-112-200−i3−i3i3i3-100-11−i3i3-11-11−i3i300-11−i3i3−i3i300002-22-2000000-1-111−i3−i3i3i30000−i3i3000-11000000
χ502-2-222-100-2211-2-2-12−i3−i3i3i302-2-12-22-2−i3i311-112-200−i3−i3i3i3-100-11−i3i3-11-11−i3i300-11−i3i3−i3i30000-22-2200000011-1-1i3i3−i3−i30000i3−i30001-1000000
χ512-2-222-100-2211-2-2-12−i3−i3i3i30-22-1-22-22−i3i311-112-200−i3−i3i3i3-1001-1−i3i31-11-1i3−i300-11i3−i3i3−i300002-2-2200000011-1-1i3i3−i3−i30000−i3i3000-11000000
χ522-2-222-100-2211-2-2-12−i3−i3i3i30-22-1-22-22−i3i311-112-200−i3−i3i3i3-1001-1−i3i31-11-1i3−i300-11i3−i3i3−i30000-222-2000000-1-111−i3−i3i3i30000i3−i30001-1000000
χ532-2-222-100-2211-2-2-12i3i3−i3−i302-2-12-22-2i3−i311-112-200i3i3−i3−i3-100-11i3−i3-11-11i3−i300-11i3−i3i3−i300002-22-2000000-1-111i3i3−i3−i30000i3−i3000-11000000
χ542-2-222-100-2211-2-2-12i3i3−i3−i302-2-12-22-2i3−i311-112-200i3i3−i3−i3-100-11i3−i3-11-11i3−i300-11i3−i3i3−i30000-22-2200000011-1-1−i3−i3i3i30000−i3i30001-1000000
χ552-2-222-100-2211-2-2-12i3i3−i3−i30-22-1-22-22i3−i311-112-200i3i3−i3−i3-1001-1i3−i31-11-1−i3i300-11−i3i3−i3i300002-2-2200000011-1-1−i3−i3i3i30000i3−i3000-11000000
χ562-2-222-100-2211-2-2-12i3i3−i3−i30-22-1-22-22i3−i311-112-200i3i3−i3−i3-1001-1i3−i31-11-1−i3i300-11−i3i3−i3i30000-222-2000000-1-111i3i3−i3−i30000−i3i30001-1000000
χ5744444-244-4-4-2-244-24-2-2-2-2-400-2000022-2-2-22-4-444-2-2-2-220-4002200000000220000000000000000000000000000000000000000000
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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
χ604444-2-24444-2-2-2-2-2-2-2-2-2-24-4-412222-2-2111-2-2-2-2-21111-2-4-22211-1-1-1-1222211-1-1-1-1000000000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2-2-2-2-2-4001−2i3−2i32i32i322111222-2-2111120200-1-1i3i3−i3−i300−2i32i3-1-1i3i3−i3−i3000000000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2-2-2-2-2-40012i32i3−2i3−2i322111222-2-2111120200-1-1−i3−i3i3i3002i3−2i3-1-1−i3−i3i3i3000000000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-22222-4441-2-2-2-222111-2-2-222-1-1-1-1-2-42-2-2-1-11111222211-1-1-1-1000000000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-22222-4-4-41222222111-2-2-222-1-1-1-1-24222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-222224001−2i3−2i32i32i3-2-211122222-1-1-1-120-20011i3i3−i3−i3002i3−2i3-1-1−i3−i3i3i3000000000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-2222240012i32i3−2i3−2i3-2-211122222-1-1-1-120-20011−i3−i3i3i300−2i32i3-1-1i3i3−i3−i3000000000000000000000000000000000000000
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χ764-44-44-24i−4i002-2-442-4−2i2i2i−2i000-20000002-220004i−4i−2i2i2i−2i00000000000000000000000000000000000−666−6i6−i6−i6i600000000000000000
χ774-44-44-2−4i4i002-2-442-42i−2i−2i2i000-20000002-22000−4i4i2i−2i−2i2i000000000000000000000000000000000006−6−66i6−i6−i6i600000000000000000
χ784-44-44-2−4i4i002-2-442-42i−2i−2i2i000-20000002-22000−4i4i2i−2i−2i2i00000000000000000000000000000000000−666−6−i6i6i6−i600000000000000000
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χ814-44-4-24−4i4i00-442-2-42−4i4i4i−4i000-20000002-220002i−2i2i−2i−2i2i0000000000000000000000000000000−2i32i3−23230000000000000000000000000
χ824-44-4-24−4i4i00-442-2-42−4i4i4i−4i000-20000002-220002i−2i2i−2i−2i2i00000000000000000000000000000002i3−2i323−230000000000000000000000000
χ834-4-4444004-4-4-4-4-44400000004000000-4-444-44000000-400000000000000-440000000000000000000000000000000000000000000
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χ854-4-444-2004-422-4-4-242i32i3−2i3−2i3000-20000−2i32i322-2-2-44002i32i3−2i3−2i320000−2i32i3000000002-20000000000000000000000000000000000000000000
χ864-4-44-24004-4-4-4224-20000000-2−2i32i32i3−2i30022-242-2000000-4000000−2i32i32i3−2i300002-20000000000000000000000000000000000000000000
χ874-4-44-24004-4-4-4224-20000000-22i3−2i3−2i32i30022-242-2000000-40000002i3−2i3−2i32i300002-20000000000000000000000000000000000000000000
χ884-4-44-2400-44-4-4224-2000004-4-2-22-220022-2-4-220000004004-400-22-220000-220000000000000000000000000000000000000000000
χ894-4-44-2400-44-4-4224-200000-44-22-22-20022-2-4-22000000400-44002-22-20000-220000000000000000000000000000000000000000000
χ904-4-44-2-2004-42222-2-2−2i3−2i32i32i30001−2i32i32i3−2i32i3−2i3-1-11-22-200i3i3−i3−i320000−i3i3i3−i3−i3i30000-11-333-3000000000000000000000000000000000000000
χ914-4-44-2-2004-42222-2-2−2i3−2i32i32i300012i3−2i3−2i32i32i3−2i3-1-11-22-200i3i3−i3−i320000−i3i3−i3i3i3−i30000-113-3-33000000000000000000000000000000000000000
χ924-4-44-2-2004-42222-2-22i32i3−2i3−2i30001−2i32i32i3−2i3−2i32i3-1-11-22-200−i3−i3i3i320000i3−i3i3−i3−i3i30000-113-3-33000000000000000000000000000000000000000
χ934-4-44-2-2004-42222-2-22i32i3−2i3−2i300012i3−2i3−2i32i3−2i32i3-1-11-22-200−i3−i3i3i320000i3−i3−i3i3i3−i30000-11-333-3000000000000000000000000000000000000000
χ944-4-44-2-200-442222-2-2−2i3−2i32i32i304-41-22-22−2i32i3-1-112-2200i3i3−i3−i3-200-22i3−i31-11-1−2i32i3001-1i3−i3i3−i3000000000000000000000000000000000000000
χ954-4-44-2-200-442222-2-2−2i3−2i32i32i30-4412-22-2−2i32i3-1-112-2200i3i3−i3−i3-2002-2i3−i3-11-112i3−2i3001-1−i3i3−i3i3000000000000000000000000000000000000000
χ964-4-44-2-200-442222-2-22i32i3−2i3−2i304-41-22-222i3−2i3-1-112-2200−i3−i3i3i3-200-22−i3i31-11-12i3−2i3001-1−i3i3−i3i3000000000000000000000000000000000000000
χ974-4-44-2-200-442222-2-22i32i3−2i3−2i30-4412-22-22i3−2i3-1-112-2200−i3−i3i3i3-2002-2−i3i3-11-11−2i32i3001-1i3−i3i3−i3000000000000000000000000000000000000000
χ9888-8-8-4800008-8-44-840000000-4000000-444000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-40000-44-444443−4343−4300020000002-2-200000−2323−2323000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-40000-44-4444−4343−434300020000002-2-20000023−2323−23000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-48i−8i004-44-444−4i4i4i−4i0002000000-22-2000−4i4i2i−2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4−8i8i004-44-4444i−4i−4i4i0002000000-22-20004i−4i−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000

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