Finite Group Databasebeta

← Group #11885827

Character table — Group #11885827

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444444666666668888888888888888888812121212121212121212121212121212121224242424242424242424242424363636367272
order12223344446666661212121222346666666121212121212121212121212224488884666666121212121212121212121212122224668812122424242424242424244666661212121212888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-11-11-1-1111-1-1111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-111-1-1-111-1-111111111-11-111-1-1-111-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-111-1-1-1-111111111111111111111111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11-1-1111111111111111-1-1-1-1-11-1-1-1-11-1-11111-1-1
χ611111111111111111111-1-111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-11-1111-1-1111-1-1-1-1-1-111
χ711111111111111111111-1-111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111111-11-1-1-111-1-1-111-1-1-1-111
χ811111111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11111-1111111-1-1
χ9111111-1-111111111-1-1-1-1111-11111111-1-1-1-111-1-1-1-11111-1-11111-1111111-1-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11-1-111-111-1-11-1-111-1-11-1
χ10111111-1-111111111-1-1-1-1111-11111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-111-11
χ11111111-1-111111111-1-1-1-1111-11111111-1-1-1-111-1-1-1-111-1-1111111-1111111-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-111-1-111-11
χ12111111-1-111111111-1-1-1-1111-11111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-11111-111-1-11-1-111-11111-1-11-1
χ13111111-1-111111111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-1-1-11111-1-111111-1-1-1-1-1-1-1111111-1-11111-1-1-1111-1-1-1-11111-1-1-1-1-111-1-1-1-1-11111111-1-1-11
χ14111111-1-111111111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1111111-1-11111-11111111-1-1-1-1-1-11111-1-1111-1-1-1-1-1111-1-1111-1
χ15111111-1-111111111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-1-1-111-1-11111111-1-1-1-1-1-1-1111111-1-111111-1-1-1-1-1-1-1111111-1-1-1-111-1-1-111111-1-1-1-1-1111-1
χ16111111-1-111111111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-1-1-111-1-111-1-1-1-11-1-1-1-1-1-1-1111111-1-11111111-1-1-11111-1-1-1-111111-1-111111-1-1-1-1-111-1-1-11
χ1722222222-2-22222222222002-20000222-2-222-2-22222-2-2222200000000000-20000-2-2-2-20000-200-22200220000000000000-20000-200000000
χ1822222222-2-22222222222002-20000222-2-222-2-22222-2-2-2-2-2-200000000000-20000-2-2-2-200002002-2-200-2-2000000000000020000200000000
χ19222222-2-2-2-2222222-2-2-2-20022000022222-2-2-2-2-2-2-2-2-2-222-2-20000000000020000-2-2220000200-22200-2-2000000000000020000-200000000
χ20222222-2-2-2-2222222-2-2-2-20022000022222-2-2-2-2-2-2-2-2-2-2-2-2220000000000020000-2-2220000-2002-2-200220000000000000-20000200000000
χ2122222-1222222-1-12-1222222-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222220000222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12002-1-100-1-10000000020200-1-1-100-1-1-1000000
χ2222222-1222222-1-12-1222222-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-20000222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-200-211001100000000-20-20011100111000000
χ2322222-1222222-1-12-12222-2-2-121111-1-1-122-1-1-1-1-1-1-1-12222220000-2-2-21111-111-2-2-1-1-1-111112002-1-100-1-100000000-20-200-11100-111000000
χ2422222-1222222-1-12-12222-2-2-121111-1-1-122-1-1-1-1-1-1-1-122-2-2-2-20000-2-2-21111-111-2-2-1-1-1-11111-200-211001100000000202001-1-1001-1-1000000
χ2522222-122-2-222-1-12-1222200-1-2−i3−i3i3i3-1-1-1-2-2-1-111-1-1-1-1-2-222220000000−i3−i3i3i31−i3i3001111−i3−i3i3i3-200-2-1-100-1-100000000000001−i3i3001−i3i3000000
χ2622222-122-2-222-1-12-1222200-1-2−i3−i3i3i3-1-1-1-2-2-1-111-1-1-1-1-2-2-2-2-2-20000000−i3−i3i3i31−i3i3001111−i3−i3i3i320021100110000000000000-1i3−i300-1i3−i3000000
χ2722222-122-2-222-1-12-1222200-1-2i3i3−i3−i3-1-1-1-2-2-1-111-1-1-1-1-2-222220000000i3i3−i3−i31i3−i3001111i3i3−i3−i3-200-2-1-100-1-100000000000001i3−i3001i3−i3000000
χ2822222-122-2-222-1-12-1222200-1-2i3i3−i3−i3-1-1-1-2-2-1-111-1-1-1-1-2-2-2-2-2-20000000i3i3−i3−i31i3−i3001111i3i3−i3−i320021100110000000000000-1−i3i300-1−i3i3000000
χ2922222-1-2-22222-1-12-1-2-2-2-222-1-2-1-1-1-1-1-1-1-2-211-1-111112222-2-20000-222-1-1-1-1111-2-2-1-1111111-2002-1-100110000000020-2001-1-100-111000000
χ3022222-1-2-22222-1-12-1-2-2-2-222-1-2-1-1-1-1-1-1-1-2-211-1-1111122-2-2220000-222-1-1-1-1111-2-2-1-1111111200-21100-1-100000000-20200-111001-1-1000000
χ3122222-1-2-22222-1-12-1-2-2-2-2-2-2-1-21111-1-1-1-2-211-1-111112222-2-200002-2-211111-1-122-1-111-1-1-1-1-2002-1-1001100000000-2020011100-1-1-1000000
χ3222222-1-2-22222-1-12-1-2-2-2-2-2-2-1-21111-1-1-1-2-211-1-1111122-2-22200002-2-211111-1-122-1-111-1-1-1-1200-21100-1-10000000020-200-1-1-100111000000
χ3322222-1-2-2-2-222-1-12-1-2-2-2-200-12−i3−i3i3i3-1-1-12211111111-2-222-2-20000000−i3−i3i3i3-1i3−i30011-1-1i3i3−i3−i3200-2-1-100110000000000000-1−i3i3001i3−i3000000
χ3422222-1-2-2-2-222-1-12-1-2-2-2-200-12−i3−i3i3i3-1-1-12211111111-2-2-2-2220000000−i3−i3i3i3-1i3−i30011-1-1i3i3−i3−i3-20021100-1-100000000000001i3−i300-1−i3i3000000
χ3522222-1-2-2-2-222-1-12-1-2-2-2-200-12i3i3−i3−i3-1-1-12211111111-2-222-2-20000000i3i3−i3−i3-1−i3i30011-1-1−i3−i3i3i3200-2-1-100110000000000000-1i3−i3001−i3i3000000
χ3622222-1-2-2-2-222-1-12-1-2-2-2-200-12i3i3−i3−i3-1-1-12211111111-2-2-2-2220000000i3i3−i3−i3-1−i3i30011-1-1−i3−i3i3i3-20021100-1-100000000000001−i3i300-1i3−i3000000
χ372222-122222-1-122-12-1-1-1-122-122222-1-1-1-1-12222-1-1-1-1-1-1000022222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-10220002200-1-1-1-1-1-1-1-1020-1-1000-1-1000000000
χ382222-122222-1-122-12-1-1-1-122-122222-1-1-1-1-12222-1-1-1-1-1-10000-2-2-2-22-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-10-2-2000-2-200111111110-201100011000000000
χ392222-122222-1-122-12-1-1-1-1-2-2-12-2-2-2-2-1-1-1-1-12222-1-1-1-1-1-100002222-21111112-2-211-1-1-1-111110-2-20002200-1-1-1-1-1-1-1-10-201100011000000000
χ402222-122222-1-122-12-1-1-1-1-2-2-12-2-2-2-2-1-1-1-1-12222-1-1-1-1-1-10000-2-2-2-2-21111112-2-211-1-1-1-11111022000-2-20011111111020-1-1000-1-1000000000
χ412222-12-2-222-1-122-12111122-1-22222-1-1-111-2-2221111-1-100002222-2-1-1-1-1-1-1-2-2-211-1-1111111022000-2-200-1-1-1-111110-20-1-100011000000000
χ422222-12-2-222-1-122-12111122-1-22222-1-1-111-2-2221111-1-10000-2-2-2-2-2-1-1-1-1-1-1-2-2-211-1-11111110-2-200022001111-1-1-1-102011000-1-1000000000
χ432222-12-2-222-1-122-121111-2-2-1-2-2-2-2-2-1-1-111-2-2221111-1-1000022222111111-222-1-1-1-111-1-1-1-10-2-2000-2-200-1-1-1-1111102011000-1-1000000000
χ442222-12-2-222-1-122-121111-2-2-1-2-2-2-2-2-1-1-111-2-2221111-1-10000-2-2-2-22111111-222-1-1-1-111-1-1-1-102200022001111-1-1-1-10-20-1-100011000000000
χ4522-2-2222i−2i002-22-2-2-22i2i−2i−2i002000002-2-2002i−2i002i2i−2i−2i002-22i−2i22−2−20000000000000000000000002-2−i2i22i−2i22−2−2−i2−i2i2i200000000000002−2−i2i200
χ4622-2-2222i−2i002-22-2-2-22i2i−2i−2i002000002-2-2002i−2i002i2i−2i−2i002-22i−2i−2−2220000000000000000000000002-2i2−i22i−2i−2−222i2i2−i2−i20000000000000−22i2−i200
χ4722-2-2222i−2i002-22-2-2-22i2i−2i−2i002000002-2-2002i−2i002i2i−2i−2i00-22−2i2i22−2−2000000000000000000000000-22−i2i2−2i2i22−2−2−i2−i2i2i20000000000000−22i2−i200
χ4822-2-2222i−2i002-22-2-2-22i2i−2i−2i002000002-2-2002i−2i002i2i−2i−2i00-22−2i2i−2−222000000000000000000000000-22i2−i2−2i2i−2−222i2i2−i2−i200000000000002−2−i2i200
χ4922-2-222−2i2i002-22-2-2-2−2i−2i2i2i002000002-2-200−2i2i00−2i−2i2i2i002-2−2i2i22−2−20000000000000000000000002-2i2−i2−2i2i22−2−2i2i2−i2−i200000000000002−2i2−i200
χ5022-2-222−2i2i002-22-2-2-2−2i−2i2i2i002000002-2-200−2i2i00−2i−2i2i2i002-2−2i2i−2−2220000000000000000000000002-2−i2i2−2i2i−2−222−i2−i2i2i20000000000000−22−i2i200
χ5122-2-222−2i2i002-22-2-2-2−2i−2i2i2i002000002-2-200−2i2i00−2i−2i2i2i00-222i−2i22−2−2000000000000000000000000-22i2−i22i−2i22−2−2i2i2−i2−i20000000000000−22−i2i200
χ5222-2-222−2i2i002-22-2-2-2−2i−2i2i2i002000002-2-200−2i2i00−2i−2i2i2i00-222i−2i−2−222000000000000000000000000-22−i2i22i−2i−2−222−i2−i2i2i200000000000002−2i2−i200
χ532-2-222200-22-22-2-2-2200002-2202-22-2-22-200002-200002-200002-22-202-22-22-2000002-200000002-200000002-22-200000002-200000000000000
χ542-2-222200-22-22-2-2-2200002-2202-22-2-22-200002-200002-20000-22-2202-22-22-2000002-20000000-220000000-22-220000000-2200000000000000
χ552-2-222200-22-22-2-2-220000-2220-22-22-22-200002-200002-200002-22-20-22-22-22000002-20000000-2200000002-22-20000000-2200000000000000
χ562-2-222200-22-22-2-2-220000-2220-22-22-22-200002-200002-20000-22-220-22-22-22000002-200000002-20000000-22-2200000002-200000000000000
χ572-2-22-1200-221-1-2-2123−33−32-2-102-22-21-113−3002-23−33−3-1100002-22-20-11-11-110003−3-113−33−33−302-20000000-11-113−33−3000-110003−3000000000
χ582-2-22-1200-221-1-2-2123−33−32-2-102-22-21-113−3002-23−33−3-110000-22-220-11-11-110003−3-113−33−33−30-2200000001-11-1−33−330001-1000−33000000000
χ592-2-22-1200-221-1-2-2123−33−3-22-10-22-221-113−3002-23−33−3-1100002-22-201-11-11-1000−33-113−3−33−330-220000000-11-113−33−30001-1000−33000000000
χ602-2-22-1200-221-1-2-2123−33−3-22-10-22-221-113−3002-23−33−3-110000-22-2201-11-11-1000−33-113−3−33−3302-200000001-11-1−33−33000-110003−3000000000
χ612-2-22-1200-221-1-2-212−33−332-2-102-22-21-11−33002-2−33−33-1100002-22-20-11-11-11000−33-11−33−33−3302-20000000-11-11−33−33000-11000−33000000000
χ622-2-22-1200-221-1-2-212−33−332-2-102-22-21-11−33002-2−33−33-110000-22-220-11-11-11000−33-11−33−33−330-2200000001-11-13−33−30001-10003−3000000000
χ632-2-22-1200-221-1-2-212−33−33-22-10-22-221-11−33002-2−33−33-1100002-22-201-11-11-10003−3-11−333−33−30-220000000-11-11−33−330001-10003−3000000000
χ642-2-22-1200-221-1-2-212−33−33-22-10-22-221-11−33002-2−33−33-110000-22-2201-11-11-10003−3-11−333−33−302-200000001-11-13−33−3000-11000−33000000000
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χ714444-2-2-4-444-2-2-2-2-2-22222441-4-2-2-2-21112222-2-2-1-1-1-1-2-200000000-4-2-211112222211-1-1-1-1-1-10000000000000000000000000000000000000
χ724444-2-2-4-444-2-2-2-2-2-22222-4-41-422221112222-2-2-1-1-1-1-2-200000000422-1-1-1-12-2-2-2-211-1-111110000000000000000000000000000000000000
χ734444-2-2-4-4-4-4-2-2-2-2-2-222220014−2i3−2i32i32i3111-2-22222-1-1-1-12200000000000i3i3−i3−i3-22i3−2i300-1-111−i3−i3i3i30000000000000000000000000000000000000
χ744444-2-2-4-4-4-4-2-2-2-2-2-2222200142i32i3−2i3−2i3111-2-22222-1-1-1-12200000000000−i3−i3i3i3-2−2i32i300-1-111i3i3−i3−i30000000000000000000000000000000000000
χ7544-4-44-24i−4i004-4-22-424i4i−4i−4i00-200000-22200−2i2i00−2i−2i2i2i004-44i−4i0000000000000000000000000000-2200−2i2i000000000000000000000000000
χ7644-4-44-24i−4i004-4-22-424i4i−4i−4i00-200000-22200−2i2i00−2i−2i2i2i00-44−4i4i00000000000000000000000000002-2002i−2i000000000000000000000000000
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χ7844-4-44-2−4i4i004-4-22-42−4i−4i4i4i00-200000-222002i−2i002i2i−2i−2i00-444i−4i00000000000000000000000000002-200−2i2i000000000000000000000000000
χ7944-4-4-244i−4i00-224-42-4−2i−2i2i2i00-200000-222004i−4i00−2i−2i2i2i0000002222−22−2200000000000000000000000000−2i22i200−2−222i2i2−i2−i20000000000000000000
χ8044-4-4-244i−4i00-224-42-4−2i−2i2i2i00-200000-222004i−4i00−2i−2i2i2i000000−22−222222000000000000000000000000002i2−2i20022−2−2−i2−i2i2i20000000000000000000
χ8144-4-4-24−4i4i00-224-42-42i2i−2i−2i00-200000-22200−4i4i002i2i−2i−2i0000002222−22−22000000000000000000000000002i2−2i200−2−222−i2−i2i2i20000000000000000000
χ8244-4-4-24−4i4i00-224-42-42i2i−2i−2i00-200000-22200−4i4i002i2i−2i−2i000000−22−22222200000000000000000000000000−2i22i20022−2−2i2i2−i2−i20000000000000000000
χ834-44-4440000-4-4-444-4000000400000-4-44000000000000000022−22−222200000000000000000000000000000022−22−222200000000000000000000000
χ844-44-4440000-4-4-444-4000000400000-4-440000000000000000−222222−22000000000000000000000000000000−222222−2200000000000000000000000
χ854-44-4-24000022-44-2-4−2i32i32i3−2i300-20000022-2000000−2i32i32i3−2i300000022−22−2222000000000000000000000000000000−222−2i6−i6−i6i60000000000000000000
χ864-44-4-24000022-44-2-4−2i32i32i3−2i300-20000022-2000000−2i32i32i3−2i3000000−222222−220000000000000000000000000000002−2−22−i6i6i6−i60000000000000000000
χ874-44-4-24000022-44-2-42i3−2i3−2i32i300-20000022-20000002i3−2i3−2i32i300000022−22−2222000000000000000000000000000000−222−2−i6i6i6−i60000000000000000000
χ884-44-4-24000022-44-2-42i3−2i3−2i32i300-20000022-20000002i3−2i3−2i32i3000000−222222−220000000000000000000000000000002−2−22i6−i6−i6i60000000000000000000
χ894-4-4444004-4-44-4-4-44000000400000-44-40000-440000-4400000000000000000000-440000000000000000000000000000000000000000000
χ904-4-444-2004-4-4422-4-2000000-20−2i32i32i3−2i32-2200002-20000-4400000000000−2i32i32i3−2i3000002-20000000000000000000000000000000000000000000
χ914-4-444-2004-4-4422-4-2000000-202i3−2i3−2i32i32-2200002-20000-44000000000002i3−2i3−2i32i3000002-20000000000000000000000000000000000000000000
χ924-4-444-200-44-4422-4-200004-4-20-22-222-220000-2200004-40000000004-4-22-2200000-220000000000000000000000000000000000000000000
χ934-4-444-200-44-4422-4-20000-44-202-22-22-220000-2200004-4000000000-442-22-200000-220000000000000000000000000000000000000000000
χ944-4-44-24004-42-2-4-42423−2323−2300-2000002-22−232300-4423−2323−232-2000000000000000000002-2−232300000000000000000000000000000000000000000
χ954-4-44-24004-42-2-4-424−2323−232300-2000002-2223−2300-44−2323−23232-2000000000000000000002-223−2300000000000000000000000000000000000000000
χ964-4-44-2-2004-42-2222-223−2323−230010−2i32i32i3−2i3-11-1−2323002-2−33−332-200000000000i3−i3−i3i300000-113−3−3i3i3i−3i0000000000000000000000000000000000000
χ974-4-44-2-2004-42-2222-223−2323−2300102i3−2i3−2i32i3-11-1−2323002-2−33−332-200000000000−i3i3i3−i300000-113−33i−3i−3i3i0000000000000000000000000000000000000
χ984-4-44-2-2004-42-2222-2−2323−23230010−2i32i32i3−2i3-11-123−23002-23−33−32-200000000000i3−i3−i3i300000-11−333i−3i−3i3i0000000000000000000000000000000000000
χ994-4-44-2-2004-42-2222-2−2323−232300102i3−2i3−2i32i3-11-123−23002-23−33−32-200000000000−i3i3i3−i300000-11−33−3i3i3i−3i0000000000000000000000000000000000000
χ1004-4-44-2-200-442-2222-223−2323−234-410-22-22-11-123−2300-22−33−33-22000000000-221-11-100023−231-1−33−33−330000000000000000000000000000000000000
χ1014-4-44-2-200-442-2222-223−2323−23-44102-22-2-11-123−2300-22−33−33-220000000002-2-11-11000−23231-1−333−33−30000000000000000000000000000000000000
χ1024-4-44-2-200-442-2222-2−2323−23234-410-22-22-11-1−232300-223−33−3-22000000000-221-11-1000−23231-13−33−33−30000000000000000000000000000000000000
χ1034-4-44-2-200-442-2222-2−2323−2323-44102-22-2-11-1−232300-223−33−3-220000000002-2-11-1100023−231-13−3−33−330000000000000000000000000000000000000
χ10488-8-8-4-48i−8i00-44-4444−4i−4i4i4i002000002-2-200−4i4i002i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4−8i8i00-44-44444i4i−4i−4i002000002-2-2004i−4i00−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-88-40000-8-84-484000000-40000044-400000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-40000444-4-44−4i34i34i3−4i300200000-2-220000002i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-40000444-4-444i3−4i3−4i34i300200000-2-22000000−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000000000000

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