Finite Group Databasebeta

← Group #11788346

Character table — Group #11788346

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order1222223344446666663666666688881212121212121212121212126612122424242424242424242424242424242422444444888812121212121212122424242424242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ511111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ611111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ711111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111
χ811111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ911111111-1-1-1-111111111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i1-1ii−i−i
χ1011111111-1-1-1-111111111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-11-11−ii−ii-1-111-1-111−i−iii−i−iii1-1ii−i−i
χ1111111111-1-1-1-111111111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1111-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii-11−i−iii
χ1211111111-1-1-1-111111111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-111-1−iii−i-1-11111-1-1−i−iiiii−i−i-11−i−iii
χ1311111111-1-1-1-111111111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11-11-1−ii−ii11-1-111-1-1−i−iii−i−iii1-1−i−iii
χ1411111111-1-1-1-111111111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-11-11i−ii−i-1-111-1-111ii−i−iii−i−i1-1−i−iii
χ1511111111-1-1-1-111111111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1111-1-11−iii−i11-1-1-1-111−i−iiiii−i−i-11ii−i−i
χ1611111111-1-1-1-111111111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii-11ii−i−i
χ172222222-1222222-1-1-12-122-1-1-1-1-12222-1-122-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000022002200-1-1-1-10000-1-1-1-10000000000
χ182222222-1222222-1-1-12-122-1-1-1-1-12222-1-122-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-200-2-2001111000011110000000000
χ192222222-1222222-1-1-12-122-1-1-1-1-1-2-2-2-2-1-122-1-1-12-1-1-12-1-1-1-1-2-2111111-2-211111100002200-2-200-1-1-1-1000011110000000000
χ202222222-1222222-1-1-12-122-1-1-1-1-1-2-2-2-2-1-122-1-1-12-1-1-12-1-1-1-1-2-2111111-2-21111110000-2-200220011110000-1-1-1-10000000000
χ212222222-1-2-2-2-222-1-1-12-122-1-1-1-1-12i2i−2i−2i11-2-2111-2111-2-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii00002-2002i−2i00-1-1110000−i−iii0000000000
χ222222222-1-2-2-2-222-1-1-12-122-1-1-1-1-12i2i−2i−2i11-2-2111-2111-2-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii0000-2200−2i2i0011-1-10000ii−i−i0000000000
χ232222222-1-2-2-2-222-1-1-12-122-1-1-1-1-1−2i−2i2i2i11-2-2111-2111-2-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i00002-200−2i2i00-1-1110000ii−i−i0000000000
χ242222222-1-2-2-2-222-1-1-12-122-1-1-1-1-1−2i−2i2i2i11-2-2111-2111-2-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i0000-22002i−2i0011-1-10000−i−iii0000000000
χ25222222-122222-1-1222-1-1-1-122-1-1-1222222-1-1-1-12-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000002200220000-1-1-1-10000-1-1-1-1000000
χ26222222-122222-1-1222-1-1-1-122-1-1-1222222-1-1-1-12-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000-2-200-2-20000111100001111000000
χ27222222-122222-1-1222-1-1-1-122-1-1-1-2-2-2-222-1-1-1-12-1-1-12-1-1-1-1-111-2-2111111-2-211110000002200-2-20000-1-1-1-100001111000000
χ28222222-122222-1-1222-1-1-1-122-1-1-1-2-2-2-222-1-1-1-12-1-1-12-1-1-1-1-111-2-2111111-2-21111000000-2-20022000011110000-1-1-1-1000000
χ29222222-12-2-2-2-2-1-1222-1-1-1-122-1-1-12i2i−2i−2i-2-21111-2111-21-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii0000002-2002i−2i0000-1-1110000−i−iii000000
χ30222222-12-2-2-2-2-1-1222-1-1-1-122-1-1-12i2i−2i−2i-2-21111-2111-21-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii000000-2200−2i2i000011-1-10000ii−i−i000000
χ31222222-12-2-2-2-2-1-1222-1-1-1-122-1-1-1−2i−2i2i2i-2-21111-2111-21-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i0000002-200−2i2i0000-1-1110000ii−i−i000000
χ32222222-12-2-2-2-2-1-1222-1-1-1-122-1-1-1−2i−2i2i2i-2-21111-2111-21-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i000000-22002i−2i000011-1-10000−i−iii000000
χ332222-2-2222-2-222222222-2-2-2-222200002-22-2222222-2-2-2-2-2-200000000000000002222000000000000000000000000-2-20000
χ342222-2-2222-2-222222222-2-2-2-222200002-22-2222222-2-2-2-2-2-20000000000000000-2-2-2-2000000000000000000000000220000
χ352222-2-222-222-22222222-2-2-2-22220000-22-22-2-2-2-2-2-222-2-222000000000000000022-2-2000000000000000000000000-220000
χ362222-2-222-222-22222222-2-2-2-22220000-22-22-2-2-2-2-2-222-2-2220000000000000000-2-2220000000000000000000000002-20000
χ372-2-222-22222-2-2-2-2-22-2222-22-2-2-220000222-222-2-2-2-2-222-22-200000000000000000000000000000000000000000000002i−2i2i−2i
χ382-2-222-22222-2-2-2-2-22-2222-22-2-2-220000222-222-2-2-2-2-222-22-20000000000000000000000000000000000000000000000−2i2i−2i2i
χ392-2-222-222-2-222-2-2-22-2222-22-2-2-220000-2-2-22-2-222222-22-2-2200000000000000000000000000000000000000000000002-2-22
χ402-2-222-222-2-222-2-2-22-2222-22-2-2-220000-2-2-22-2-222222-22-2-220000000000000000000000000000000000000000000000-222-2
χ412-2-22-22222-22-2-2-2-22-222-22-22-2-222i−2i2i−2i2-22222-2-2-2-22-2-22-222i−2i2i−2i2i2i−2i−2i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ422-2-22-22222-22-2-2-2-22-222-22-22-2-22−2i2i−2i2i2-22222-2-2-2-22-2-22-22−2i2i−2i2i−2i−2i2i2i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000
χ432-2-22-2222-22-22-2-2-22-222-22-22-2-222-2-22-22-2-2-2-22222-22-222-22-22-222-2-2-22-22-2-2220000000000000000000000000000000000
χ442-2-22-2222-22-22-2-2-22-222-22-22-2-22-222-2-22-2-2-2-22222-22-222-2-22-22-2-2222-22-222-2-20000000000000000000000000000000000
χ452-2-22-222-12-22-2-2-21-112-1-221-111-12i−2i2i−2i-1122-1-11-211-1-21-11-12i−2i−ii−i−iii2i−2i−ii−i−iii0000000000003−33−30000−i3i3−i3i30000000000
χ462-2-22-222-12-22-2-2-21-112-1-221-111-12i−2i2i−2i-1122-1-11-211-1-21-11-12i−2i−ii−i−iii2i−2i−ii−i−iii000000000000−33−330000i3−i3i3−i30000000000
χ472-2-22-222-12-22-2-2-21-112-1-221-111-1−2i2i−2i2i-1122-1-11-211-1-21-11-1−2i2ii−iii−i−i−2i2ii−iii−i−i0000000000003−33−30000i3−i3i3−i30000000000
χ482-2-22-222-12-22-2-2-21-112-1-221-111-1−2i2i−2i2i-1122-1-11-211-1-21-11-1−2i2ii−iii−i−i−2i2ii−iii−i−i000000000000−33−330000−i3i3−i3i30000000000
χ492-2-22-222-1-22-22-2-21-112-1-221-111-12-2-221-1-2-211-12-1-1121-1-112-2-11-1-111-221-111-1-10000000000003−3−330000−333−30000000000
χ502-2-22-222-1-22-22-2-21-112-1-221-111-12-2-221-1-2-211-12-1-1121-1-112-2-11-1-111-221-111-1-1000000000000−333−300003−3−330000000000
χ512-2-22-222-1-22-22-2-21-112-1-221-111-1-222-21-1-2-211-12-1-1121-1-11-221-111-1-12-2-11-1-1110000000000003−3−3300003−3−330000000000
χ522-2-22-222-1-22-22-2-21-112-1-221-111-1-222-21-1-2-211-12-1-1121-1-11-221-111-1-12-2-11-1-111000000000000−333−30000−333−30000000000
χ532-2-22-22-122-22-211-22-2-1-11-1-2211-12i−2i2i−2i2-2-1-1-1-1-2111211-11-1−ii2i−2i−i−iii−ii2i−2i−i−iii0000000000000000−i3i3−i3i300003−33−3000000
χ542-2-22-22-122-22-211-22-2-1-11-1-2211-12i−2i2i−2i2-2-1-1-1-1-2111211-11-1−ii2i−2i−i−iii−ii2i−2i−i−iii0000000000000000i3−i3i3−i30000−33−33000000
χ552-2-22-22-122-22-211-22-2-1-11-1-2211-1−2i2i−2i2i2-2-1-1-1-1-2111211-11-1i−i−2i2iii−i−ii−i−2i2iii−i−i0000000000000000−i3i3−i3i30000−33−33000000
χ562-2-22-22-122-22-211-22-2-1-11-1-2211-1−2i2i−2i2i2-2-1-1-1-1-2111211-11-1i−i−2i2iii−i−ii−i−2i2iii−i−i0000000000000000i3−i3i3−i300003−33−3000000
χ572-2-22-22-12-22-2211-22-2-1-11-1-2211-12-2-22-2211112-1-1-1-2-11-1-11-112-2-1-1111-1-2211-1-10000000000000000−i3i3i3−i30000−i3i3i3−i3000000
χ582-2-22-22-12-22-2211-22-2-1-11-1-2211-12-2-22-2211112-1-1-1-2-11-1-11-112-2-1-1111-1-2211-1-10000000000000000i3−i3−i3i30000i3−i3−i3i3000000
χ592-2-22-22-12-22-2211-22-2-1-11-1-2211-1-222-2-2211112-1-1-1-2-11-1-111-1-2211-1-1-112-2-1-1110000000000000000−i3i3i3−i30000i3−i3−i3i3000000
χ602-2-22-22-12-22-2211-22-2-1-11-1-2211-1-222-2-2211112-1-1-1-2-11-1-111-1-2211-1-1-112-2-1-1110000000000000000i3−i3−i3i30000−i3i3i3−i3000000
χ61444444-2-24444-2-2-2-2-2-21-2-2-2-21114444-2-2-2-211-2-211-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-21-2-2-2-2111-4-4-4-4-2-2-2-211-2-211-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ63444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21114i4i−4i−4i2222-1-122-1-12211-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i0000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111−4i−4i4i4i2222-1-122-1-12211-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii0000000000000000000000000000000000
χ654444-4-44-24-4-4444-2-2-24-2-4-422-2-2-20000-224-4-2-2-24-2-22-4222200000000000000000000000000000000000000000000000000
χ664444-4-44-2-444-444-2-2-24-2-4-422-2-2-200002-2-44222-422-2422-2-200000000000000000000000000000000000000000000000000
χ674444-4-4-244-4-44-2-2444-2-222-4-4-2-2-200004-4-22-2-24-2-2-2-42222200000000000000000000000000000000000000000000000000
χ684444-4-4-24-444-4-2-2444-2-222-4-4-2-2-20000-442-222-42224-222-2-200000000000000000000000000000000000000000000000000
χ694444-4-4-2-24-4-44-2-2-2-2-2-2122221110000-22-2211-2-21122-1-1-1-100003-33-300003-33-30000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-2-2-2-2-2122221110000-22-2211-2-21122-1-1-1-10000-33-330000-33-330000000000000000000000000000000000
χ714444-4-4-2-2-444-4-2-2-2-2-2-21222211100002-22-2-1-122-1-1-2-2-1-11100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000000
χ724444-4-4-2-2-444-4-2-2-2-2-2-21222211100002-22-2-1-122-1-1-2-2-1-1110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000000
χ7344-4-4004400004-44-4-4-4400004-4-40000000000000000000000000000000000004-400000000000000000000000000000000
χ7444-4-4004400004-44-4-4-4400004-4-4000000000000000000000000000000000000-4400000000000000000000000000000000
χ754-44-400440000-44-4-44-440000-44-4000000000000000000000000000000000000004i−4i000000000000000000000000000000
χ764-44-400440000-44-4-44-440000-44-400000000000000000000000000000000000000−4i4i000000000000000000000000000000
χ774-4-444-44-244-4-4-4-42-224-24-4-2222-20000-2-24-4-2-22-42224-22-2200000000000000000000000000000000000000000000000000
χ784-4-444-44-2-4-444-4-42-224-24-4-2222-2000022-4422-24-2-2-2-4-222-200000000000000000000000000000000000000000000000000
χ794-4-444-4-2444-4-422-44-4-2-2-224-422-2000044-22-2-2-4222-4-2-22-2200000000000000000000000000000000000000000000000000
χ804-4-444-4-24-4-44422-44-4-2-2-224-422-20000-4-42-2224-2-2-242-222-200000000000000000000000000000000000000000000000000
χ814-4-444-4-2-244-4-4222-22-21-22-22-1-110000-2-2-221122-1-12-21-11-100003i−3i−3i3i00003i−3i−3i3i0000000000000000000000000000000000
χ824-4-444-4-2-244-4-4222-22-21-22-22-1-110000-2-2-221122-1-12-21-11-10000−3i3i3i−3i0000−3i3i3i−3i0000000000000000000000000000000000
χ834-4-444-4-2-2-4-444222-22-21-22-22-1-110000222-2-1-1-2-211-221-1-1100003-3-330000-333-30000000000000000000000000000000000
χ844-4-444-4-2-2-4-444222-22-21-22-22-1-110000222-2-1-1-2-211-221-1-110000-333-300003-3-330000000000000000000000000000000000
χ854-4-44-44-2-24-44-4222-22-212-22-2-1-114i−4i4i−4i-22-2-21122-1-1-22-11-11−2i2i−2i2iii−i−i−2i2i−2i2iii−i−i0000000000000000000000000000000000
χ864-4-44-44-2-24-44-4222-22-212-22-2-1-11−4i4i−4i4i-22-2-21122-1-1-22-11-112i−2i2i−2i−i−iii2i−2i2i−2i−i−iii0000000000000000000000000000000000
χ874-4-44-44-2-2-44-44222-22-212-22-2-1-114-4-442-222-1-1-2-2112-2-111-1-22-2211-1-12-22-2-1-1110000000000000000000000000000000000
χ884-4-44-44-2-2-44-44222-22-212-22-2-1-11-444-42-222-1-1-2-2112-2-111-12-22-2-1-111-22-2211-1-10000000000000000000000000000000000
χ8988-8-8008-400008-8-444-8-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-480000-448-8-84-40000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-44-4444200002-2-2000000006i−6i006i−6i00000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-44-4444200002-2-200000000−6i6i00−6i6i00000000000000000000000000000000000000000000000000000000
χ938-88-8008-40000-8844-4-8-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-4800004-4-8-884-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-400004-444-4420000-22-2000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000000
χ968-88-800-4-400004-444-4420000-22-200000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000000

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