Finite Group Databasebeta

← Group #11790846

Character table — Group #11790846

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order12222222223366666666663666666666666666664444246666666666661212121212121212444444121212121212121224446612121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ9111111-1-1-1-1111111111111111-1-1-1-1-1-11111111-1-111-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1ii−i−i1111-1-1-1-11-1i−i11-1-1ii−i−iii−i−iii−i−ii−i
χ10111111-1-1-1-1111111111111111-1-1-1-1-1-11111111-1-111-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1−i−iii1111-1-1-1-11-1−ii11-1-1−i−iii−i−iii−i−iii−ii
χ11111111-1-1-1-1111111111111111-1-1-1-1-1-11111111-1-111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111-1ii−i−i1111-1-1-1-1-11−ii-1-111ii−i−i−i−iiiii−i−i−ii
χ12111111-1-1-1-1111111111111111-1-1-1-1-1-11111111-1-111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111-1−i−iii1111-1-1-1-1-11i−i-1-111−i−iiiii−i−i−i−iiii−i
χ13111111-1-1-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-1111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11ii−i−i-1-1-1-11111-11i−i-1-111ii−i−iii−i−i−i−iii−ii
χ14111111-1-1-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-1111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11−i−iii-1-1-1-11111-11−ii-1-111−i−iii−i−iiiii−i−ii−i
χ15111111-1-1-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1-1-111111111-11ii−i−i-1-1-1-111111-1−ii11-1-1ii−i−i−i−iii−i−iiii−i
χ16111111-1-1-1-1111111111111111-1-1-1-1-1-11111111-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1-1-111111111-11−i−iii-1-1-1-111111-1i−i11-1-1−i−iiiii−i−iii−i−i−ii
χ1722222222222-122-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1220000-1-1-1-1-1-1-1-12200-1-1-1-100000000000000
χ1822222222222-122-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-211-1-1-1-11111-2-2111111220000-1-1-1-1-1-1-1-1-2-200111100000000000000
χ1922222222222-122-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-22222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2000011111111-2-200111100000000000000
χ2022222222222-122-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-211-1-1-1-11111-2-2111111-2-20000111111112200-1-1-1-100000000000000
χ212222222222-12-1-122222-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1000022-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-10022220000000000220000-1-1-1-1-1-1-1-1000000
χ222222222222-12-1-122222-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1000022-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-100-2-2-2-20000000000-2-2000011111111000000
χ232222222222-12-1-122222-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-10000-2-211-2-2-1-1-1-1111111-2-211110022220000000000-2-20000-1-1-1-11111000000
χ242222222222-12-1-122222-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-10000-2-211-2-2-1-1-1-1111111-2-2111100-2-2-2-200000000002200001111-1-1-1-1000000
χ25222222-2-2-2-22-122-1-1-1-1-12-1-1-122-2-21111-1-1-1-1-1-1-1-2-222-2-22-222-1-11111-1-1-1-1-2-21111112-20000-1-1-1-111112-200-1-11100000000000000
χ26222222-2-2-2-22-122-1-1-1-1-12-1-1-122-2-21111-1-1-1-1-1-1-1-2-222-2-2-22-2-2111111111122-1-1-1-1-1-12-20000-1-1-1-11111-220011-1-100000000000000
χ27222222-2-2-2-22-122-1-1-1-1-12-1-1-122-2-21111-1-1-1-1-1-1-1-2-2-2-2222-222-1-11111-1-1-1-1-2-2111111-2200001111-1-1-1-1-220011-1-100000000000000
χ28222222-2-2-2-22-122-1-1-1-1-12-1-1-122-2-21111-1-1-1-1-1-1-1-2-2-2-222-22-2-2111111111122-1-1-1-1-1-1-2200001111-1-1-1-12-200-1-11100000000000000
χ29222222-2-2-2-2-12-1-122222-122-1-1-111-2-2-2-2-1-1-1-1-1-1-11100002-2-1-1221111-1-1-1-111-2-21111002i2i−2i−2i00000000002i−2i0000−i−iii−i−iii000000
χ30222222-2-2-2-2-12-1-122222-122-1-1-111-2-2-2-2-1-1-1-1-1-1-11100002-2-1-1221111-1-1-1-111-2-2111100−2i−2i2i2i0000000000−2i2i0000ii−i−iii−i−i000000
χ31222222-2-2-2-2-12-1-122222-122-1-1-111-2-2-2-2-1-1-1-1-1-1-1110000-2211-2-211111111-1-122-1-1-1-1002i2i−2i−2i0000000000−2i2i0000−i−iiiii−i−i000000
χ32222222-2-2-2-2-12-1-122222-122-1-1-111-2-2-2-2-1-1-1-1-1-1-1110000-2211-2-211111111-1-122-1-1-1-100−2i−2i2i2i00000000002i−2i0000ii−i−i−i−iii000000
χ332222-2-22-2-2222222-2-2-2-22222-2-22-222-2-222-2-2-2-222-222-2-200000022-2-2000000000000-22000022-2-222-2-20000000000000000000000
χ342222-2-22-2-2222222-2-2-2-22222-2-22-222-2-222-2-2-2-222-2-2-22200000022-2-20000000000002-20000-2-222-2-2220000000000000000000000
χ352222-2-22-2-222-122-111112-1-1-1-2-22-2-1-111-1-11111-12-222-2-20000−i3i3-1-111−i3−i3i3i300−i3i3−i3−i3i3i3-220000-1-111-1-1110000−i3i3−i3i300000000000000
χ362222-2-22-2-222-122-111112-1-1-1-2-22-2-1-111-1-11111-12-222-2-20000i3−i3-1-111i3i3−i3−i300i3−i3i3i3−i3−i3-220000-1-111-1-1110000i3−i3i3−i300000000000000
χ372222-2-22-2-222-122-111112-1-1-1-2-22-2-1-111-1-11111-12-2-2-2220000−i3i3-1-111−i3−i3i3i300−i3i3−i3−i3i3i32-2000011-1-111-1-10000i3−i3i3−i300000000000000
χ382222-2-22-2-222-122-111112-1-1-1-2-22-2-1-111-1-11111-12-2-2-2220000i3−i3-1-111i3i3−i3−i300i3−i3i3i3−i3−i32-2000011-1-111-1-10000−i3i3−i3i300000000000000
χ392222-2-2-222-222222-2-2-2-22222-2-2-22-2-22222-2-2-2-22-222222000000-2-222000000000000-2-2000022-2-2-2-2220000000000000000000000
χ402222-2-2-222-222222-2-2-2-22222-2-2-22-2-22222-2-2-2-22-22-2-2-2-2000000-2-222000000000000220000-2-22222-2-20000000000000000000000
χ412222-2-2-222-22-122-111112-1-1-1-2-2-2211-1-1-1-11111-1-2222220000−i3i311-1-1−i3−i3i3i300i3−i3i3i3−i3−i3-2-20000-1-11111-1-10000−i3i3i3−i300000000000000
χ422222-2-2-222-22-122-111112-1-1-1-2-2-2211-1-1-1-11111-1-2222220000i3−i311-1-1i3i3−i3−i300−i3i3−i3−i3i3i3-2-20000-1-11111-1-10000i3−i3−i3i300000000000000
χ432222-2-2-222-22-122-111112-1-1-1-2-2-2211-1-1-1-11111-1-22-2-2-2-20000−i3i311-1-1−i3−i3i3i300i3−i3i3i3−i3−i322000011-1-1-1-1110000i3−i3−i3i300000000000000
χ442222-2-2-222-22-122-111112-1-1-1-2-2-2211-1-1-1-11111-1-22-2-2-2-20000i3−i311-1-1i3i3−i3−i300−i3i3−i3−i3i3i322000011-1-1-1-1110000−i3i3i3−i300000000000000
χ452-22-22-222-2-222-2-2-222-2-222-222-22-22-22-2-2-222-2-22-2200000000002-22-20000000000000000000000000000000000000000002i−2i2i−2i00
χ462-22-22-222-2-222-2-2-222-2-222-222-22-22-22-2-2-222-2-22-2200000000002-22-2000000000000000000000000000000000000000000−2i2i−2i2i00
χ472-22-22-2-2-22222-2-2-222-2-222-222-2-22-22-22-2-222-2-222-20000000000-22-220000000000000000000000000000000000000000002-2-2200
χ482-22-22-2-2-22222-2-2-222-2-222-222-2-22-22-22-2-222-2-222-20000000000-22-22000000000000000000000000000000000000000000-222-200
χ492-22-2-222-22-222-2-2-2-2-22222-22-22222-2-22-2-2-2-2222-2-200000000002-2-22000000000000002i−2i2i−2i00000000000000002i−2i2i−2i0000000000
χ502-22-2-222-22-222-2-2-2-2-22222-22-22222-2-22-2-2-2-2222-2-200000000002-2-2200000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i0000000000
χ512-22-2-222-22-2-1211-2-2-222-12-2-11-1-1-12-2-221111-1-1-111000000−i3i300-111-1−i3i3−i3i3−i3i300−i3i3−i3i3002i−2i2i−2i0000000000000000−ii−ii3−33−3000000
χ522-22-2-222-22-2-1211-2-2-222-12-2-11-1-1-12-2-221111-1-1-111000000−i3i300-111-1−i3i3−i3i3−i3i300−i3i3−i3i300−2i2i−2i2i0000000000000000i−ii−i−33−33000000
χ532-22-2-222-22-2-1211-2-2-222-12-2-11-1-1-12-2-221111-1-1-111000000i3−i300-111-1i3−i3i3−i3i3−i300i3−i3i3−i3002i−2i2i−2i0000000000000000−ii−ii−33−33000000
χ542-22-2-222-22-2-1211-2-2-222-12-2-11-1-1-12-2-221111-1-1-111000000i3−i300-111-1i3−i3i3−i3i3−i300i3−i3i3−i300−2i2i−2i2i0000000000000000i−ii−i3−33−3000000
χ552-22-2-22-22-2222-2-2-2-2-22222-22-22-2-2-222-2-2-2-2-2222220000000000-222-2000000000000002-2-2200000000000000002-2-220000000000
χ562-22-2-22-22-2222-2-2-2-2-22222-22-22-2-2-222-2-2-2-2-2222220000000000-222-200000000000000-222-20000000000000000-222-20000000000
χ572-22-2-22-22-22-1211-2-2-222-12-2-11-111-222-21111-1-1-1-1-1000000−i3i3001-1-11−i3i3−i3i3i3−i300i3−i3i3−i3002-2-220000000000000000-111-1−i3i3i3−i3000000
χ582-22-2-22-22-22-1211-2-2-222-12-2-11-111-222-21111-1-1-1-1-1000000−i3i3001-1-11−i3i3−i3i3i3−i300i3−i3i3−i300-222-200000000000000001-1-11i3−i3−i3i3000000
χ592-22-2-22-22-22-1211-2-2-222-12-2-11-111-222-21111-1-1-1-1-1000000i3−i3001-1-11i3−i3i3−i3−i3i300−i3i3−i3i3002-2-220000000000000000-111-1i3−i3−i3i3000000
χ602-22-2-22-22-22-1211-2-2-222-12-2-11-111-222-21111-1-1-1-1-1000000i3−i3001-1-11i3−i3i3−i3−i3i300−i3i3−i3i300-222-200000000000000001-1-11−i3i3i3−i3000000
χ614444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-21111111-2-2000044-2-2-2-211111111-2-2-2-21111000000000000000000000000000000000000
χ624444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-21111111-2-20000-4-422221111-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ63444444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-21-2-222222211111112200004-4-2-2-2-2-1-1-1-111112222-1-1-1-1000000000000000000000000000000000000
χ64444444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-21-2-22222221111111220000-442222-1-1-1-1-1-1-1-1-2-2-2-21111000000000000000000000000000000000000
χ654444-4-44-4-44-24-2-24-4-4-4-4-244-222-2244-4-4-2-22222-2-220000000000-2-222000000000000000000000000000000000000000000000000
χ664444-4-44-4-44-2-2-2-2-22222-2-2-2122-22-2-22211-1-1-1-11-2200000000−2i32i311-1-1i3i3−i3−i300−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ674444-4-44-4-44-2-2-2-2-22222-2-2-2122-22-2-22211-1-1-1-11-22000000002i3−2i311-1-1−i3−i3i3i3002i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ684444-4-4-444-4-24-2-24-4-4-4-4-244-2222-2-4-444-2-22222-22-2000000000022-2-2000000000000000000000000000000000000000000000000
χ694444-4-4-444-4-2-2-2-2-22222-2-2-21222-222-2-211-1-1-1-112-200000000−2i32i3-1-111i3i3−i3−i3002i3−2i3−i3−i3i3i3000000000000000000000000000000000000
χ704444-4-4-444-4-2-2-2-2-22222-2-2-21222-222-2-211-1-1-1-112-2000000002i3−2i3-1-111−i3−i3i3i300−2i32i3i3i3−i3−i3000000000000000000000000000000000000
χ7144-4-4000000444-440000-4-4-44000000004-40000-400004i−4i00000000000000000000000000000000004i−4i0000000000000000000000
χ7244-4-4000000444-440000-4-4-44000000004-40000-40000−4i4i0000000000000000000000000000000000−4i4i0000000000000000000000
χ7344-4-40000004-24-4-2−2i32i3−2i32i3-422-200000000-22−2i32i3−2i32i3200004i−4i0000000000000000000000000000000023−23−2i2i0000000000000000000000
χ7444-4-40000004-24-4-2−2i32i3−2i32i3-422-200000000-22−2i32i3−2i32i320000−4i4i00000000000000000000000000000000−23232i−2i0000000000000000000000
χ7544-4-40000004-24-4-22i3−2i32i3−2i3-422-200000000-222i3−2i32i3−2i3200004i−4i00000000000000000000000000000000−2323−2i2i0000000000000000000000
χ7644-4-40000004-24-4-22i3−2i32i3−2i3-422-200000000-222i3−2i32i3−2i320000−4i4i0000000000000000000000000000000023−232i−2i0000000000000000000000
χ774-44-44-444-4-44-2-4-42-2-2224-22-24-44-4-22-2222-2-222-2-440000000000-22-22000000000000000000000000000000000000000000000000
χ784-44-44-444-4-4-2422-444-4-4-24-4-2-22-224-44-422-2-222-22-20000000000-22-22000000000000000000000000000000000000000000000000
χ794-44-44-444-4-4-2-2222-2-222-2-221-22-22-22-22-1-111-1-112-200000000001-11-13-3-3300003-3-33000000000000000000000000000000000000
χ804-44-44-444-4-4-2-2222-2-222-2-221-22-22-22-22-1-111-1-112-200000000001-11-1-333-30000-333-3000000000000000000000000000000000000
χ814-44-44-4-4-4444-2-4-42-2-2224-22-24-4-442-22-222-2-222-24-400000000002-22-2000000000000000000000000000000000000000000000000
χ824-44-44-4-4-444-2422-444-4-4-24-4-2-222-2-44-4422-2-222-2-2200000000002-22-2000000000000000000000000000000000000000000000000
χ834-44-44-4-4-444-2-2222-2-222-2-221-222-22-22-2-1-111-1-11-220000000000-11-113-3-330000-333-3000000000000000000000000000000000000
χ844-44-44-4-4-444-2-2222-2-222-2-221-222-22-22-2-1-111-1-11-220000000000-11-11-333-300003-3-33000000000000000000000000000000000000
χ854-44-4-444-44-44-2-4-4222-2-24-22-2-4444-222-22222-2-2-2-4-40000000000-222-2000000000000000000000000000000000000000000000000
χ864-44-4-444-44-4-2-222222-2-2-2-2212-2-2-2-222-2-1-1-1-111122000000−2i32i3001-1-11i3−i3i3−i3−2i32i300i3−i3i3−i3000000000000000000000000000000000000
χ874-44-4-444-44-4-2-222222-2-2-2-2212-2-2-2-222-2-1-1-1-1111220000002i3−2i3001-1-11−i3i3−i3i32i3−2i300−i3i3−i3i3000000000000000000000000000000000000
χ884-44-4-44-44-444-2-4-4222-2-24-22-2-44-4-42-2-222222-2-2-24400000000002-2-22000000000000000000000000000000000000000000000000
χ894-44-4-44-44-44-2-222222-2-2-2-2212-2222-2-22-1-1-1-1111-2-2000000−2i32i300-111-1i3−i3i3−i32i3−2i300−i3i3−i3i3000000000000000000000000000000000000
χ904-44-4-44-44-44-2-222222-2-2-2-2212-2222-2-22-1-1-1-1111-2-20000002i3−2i300-111-1−i3i3−i3i3−2i32i300i3−i3i3−i3000000000000000000000000000000000000
χ914-4-4400000044-44-40000-4-44400000000-440000-4004-40000000000000000000000000000004-40000000000000000000000000000
χ924-4-4400000044-44-40000-4-44400000000-440000-400-44000000000000000000000000000000-440000000000000000000000000000
χ934-4-440000004-2-442−2i32i32i3−2i3-42-2-2000000002-2−2i32i32i3−2i32004-4000000000000000000000000000000-22−2i32i300000000000000000000000000
χ944-4-440000004-2-442−2i32i32i3−2i3-42-2-2000000002-2−2i32i32i3−2i3200-440000000000000000000000000000002-22i3−2i300000000000000000000000000
χ954-4-440000004-2-4422i3−2i3−2i32i3-42-2-2000000002-22i3−2i3−2i32i32004-4000000000000000000000000000000-222i3−2i300000000000000000000000000
χ964-4-440000004-2-4422i3−2i3−2i32i3-42-2-2000000002-22i3−2i3−2i32i3200-440000000000000000000000000000002-2−2i32i300000000000000000000000000
χ9788-8-8000000-48-44800004-8-8-400000000-44000040000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8000000-4-4-44-4−4i34i3−4i34i34442000000002-22i3−2i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8000000-4-4-44-44i3−4i34i3−4i34442000000002-2−2i32i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88000000-484-4-800004-88-4000000004-4000040000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88000000-4-44-44−4i34i34i3−4i344-4200000000-222i3−2i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88000000-4-44-444i3−4i3−4i34i344-4200000000-22−2i32i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000

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