Finite Group Databasebeta

← Group #11889095

Character table — Group #11889095

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222244444444444444444444444444444888888888888888888121212121212121212121212242424242424242424242424242424242424363636367272
order122222334466666623444466666666612121212121212121212121212126666612121212121212121212121212224466661212121222444466661212121212121212888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111-1-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-111-11-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-11-11-1-11111-1-111111-1-1-1-111-1-11111-111-1-1-11-11-1-1-1-1-111-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1
χ61111111111111111-11-11-1-11111-1-111111-1-1-1-111-1-11111-111-1-1-11-11-1-1-1-1-111-1-111-1-11111-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111-11-11-1-11111-1-111111-1-1-1-111-1-11111-111-1-1-11-11-1-1-1-1-111-1-1-1-111-1-1-1-11111-11-1-111-1-11111-1-1-1-111-1-1-1-111
χ81111111111111111-11-11-1-11111-1-111111-1-1-1-111-1-11111-111-1-1-11-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-11111-1-1
χ91111-1-1111111111111-1-11-1-1-1-1-11111111-1-1-1-1111111111-1-111-1-11-1-1-1-1-1-1-1-111111111111111-111-1-1-1-1-111-1-111-1-1-1-111-1-1-11
χ101111-1-1111111111111-1-11-1-1-1-1-11111111-1-1-1-1111111111-1-111-1-11-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-11-11-11-1-111-1-1-1-11111-1-1111-1
χ111111-1-1111111111111-1-11-1-1-1-1-11111111-1-1-1-1111111111-1-111-1-11-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-11-11-111-1-11111-1-1-1-1-1-1111-1
χ121111-1-1111111111111-1-11-1-1-1-1-11111111-1-1-1-1111111111-1-111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-1111111-1-1-11
χ131111-1-11111111111-111-1-11-1-1-1-1-1-111111111111-1-11111-1-1-1-1-11-1-1-111111-1-1-1-1111111111111-1-1-111-1-1-1-1-111-1-111-1-111-1-11-1
χ141111-1-11111111111-111-1-11-1-1-1-1-1-111111111111-1-11111-1-1-1-1-11-1-1-111111-1-1-1-111-1-11111-1-1-1-1-1-11-111-1-1-1-11111-1-111-1-111-11
χ151111-1-11111111111-111-1-11-1-1-1-1-1-111111111111-1-11111-1-1-1-1-11-1-1-111111-1-1-1-1-1-111-1-1-1-1111111-11-1-11111-1-1-1-111-1-1-1-111-11
χ161111-1-11111111111-111-1-11-1-1-1-1-1-111111111111-1-11111-1-1-1-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111-1-111-1-11111-1-11-1
χ1722222222-2-222222222-2-2-22222222222-2-222-2-2-2-2-2-2-2-2-2-222222-2-2-2-2222-2-2-2-2-2-2000000000000000000000000000000000000
χ1822222222-2-2222222-222-22-22222-2-2222-2-2-2-222-2-222-2-2-2-2-222-2-22-22-2-2-2-222-2-222000000000000000000000000000000000000
χ192222222-122-1-12-1222-1222222-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12200-1-1-1-10000220020-1-1-1-1-1-1000000000000
χ202222222-122-1-12-1222-1222222-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-20011110000-2-200-20111111000000000000
χ212222222-122-1-12-122-2-1-22-2-222-1-111-1-1-1-1-111-2-222-2-2-1-1-1-1-2-1-1111-112-21111-1-1112200-1-1-1-100002-200-20-1-11111000000000000
χ222222222-122-1-12-122-2-1-22-2-222-1-111-1-1-1-1-111-2-222-2-2-1-1-1-1-2-1-1111-112-21111-1-111-2-20011110000-22002011-1-1-1-1000000000000
χ232222222-1-2-2-1-12-1222-1-2-2-2222-1-1-1-1-1-1-111-1-1-2-2-2-2-2-211112-1-1-1-1111-22-1-11111110000−i3−i3i3i30000000000−i3i3−i3i3−i3i3000000000000
χ242222222-1-2-2-1-12-1222-1-2-2-2222-1-1-1-1-1-1-111-1-1-2-2-2-2-2-211112-1-1-1-1111-22-1-11111110000i3i3−i3−i30000000000i3−i3i3−i3i3−i3000000000000
χ252222222-1-2-2-1-12-122-2-12-22-222-1-111-1-1-1111122-2-2221111-2-1-111-11-1-2-211-1-111-1-10000−i3−i3i3i30000000000−i3i3i3−i3i3−i3000000000000
χ262222222-1-2-2-1-12-122-2-12-22-222-1-111-1-1-1111122-2-2221111-2-1-111-11-1-2-211-1-111-1-10000i3i3−i3−i30000000000i3−i3−i3i3−i3i3000000000000
χ27222222-122222-12-1-12-12222-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-100220000-1-1-1-1002202000000-1-1-1-1-1-1000000
χ28222222-122222-12-1-12-12222-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-100-2-20000111100-2-20-2000000111111000000
χ29222222-122222-12-1-1-2-1-22-2-2-1-122-2-2-1-1-122-2-211-1-111-1-1-1-11-1-111-22-2-111111-1-11100220000-1-1-1-100-2-2020000001111-1-1000000
χ30222222-122222-12-1-1-2-1-22-2-2-1-122-2-2-1-1-122-2-211-1-111-1-1-1-11-1-111-22-2-111111-1-11100-2-20000111100220-2000000-1-1-1-111000000
χ31222222-12-2-222-12-1-12-1-2-2-22-1-12222-1-1-1-2-2221111111111-1-1-1-1-1-2-2-21-1-1-111111100000000−i3−i3i3i3000000000000−i3i3−i3i3−i3i3000000
χ32222222-12-2-222-12-1-12-1-2-2-22-1-12222-1-1-1-2-2221111111111-1-1-1-1-1-2-2-21-1-1-111111100000000i3i3−i3−i3000000000000i3−i3i3−i3i3−i3000000
χ33222222-12-2-222-12-1-1-2-12-22-2-1-122-2-2-1-1-1-2-2-2-2-1-111-1-111111-1-1112-221111-1-111-1-100000000−i3−i3i3i3000000000000i3−i3i3−i3−i3i3000000
χ34222222-12-2-222-12-1-1-2-12-22-2-1-122-2-2-1-1-1-2-2-2-2-1-111-1-111111-1-1112-221111-1-111-1-100000000i3i3−i3−i3000000000000−i3i3−i3i3i3−i3000000
χ352222-2-222-2-22222222222-2-2-2-2-2-222222-2-2-2-222-2-2-2-2-2-2-2-22-2-22222-22-2-2-22222-2-2000000000000000000000000000000000000
χ362222-2-222-2-2222222-22-2222-2-2-2-2-2-2222-2-222-2-2-2-222-2-2-2-2-2-2-2-2-2-2222222-2-22222000000000000000000000000000000000000
χ372222-2-22-122-1-12-1222-1-2-22-2-2-211-1-1-1-1-1-1-111-2-22222-1-1-1-1211-1-111-1-2-2111111-1-12200-1-1-1-10000-2200-2011-1-111000000000000
χ382222-2-22-122-1-12-1222-1-2-22-2-2-211-1-1-1-1-1-1-111-2-22222-1-1-1-1211-1-111-1-2-2111111-1-1-2-200111100002-20020-1-111-1-1000000000000
χ392222-2-22-122-1-12-122-2-12-2-22-2-21111-1-1-1-1-1-1-12222-2-2-1-1-1-1-21111-111-22-1-1-1-111112200-1-1-1-10000-2-200201111-1-1000000000000
χ402222-2-22-122-1-12-122-2-12-2-22-2-21111-1-1-1-1-1-1-12222-2-2-1-1-1-1-21111-111-22-1-1-1-11111-2-200111100002200-20-1-1-1-111000000000000
χ412222-2-22-1-2-2-1-12-1222-122-2-2-2-211-1-1-1-1-1111122-2-2-2-21111211-1-1-1-112-211-1-1-1-1110000−i3−i3i3i30000000000i3−i3−i3i3i3−i3000000000000
χ422222-2-22-1-2-2-1-12-1222-122-2-2-2-211-1-1-1-1-1111122-2-2-2-21111211-1-1-1-112-211-1-1-1-1110000i3i3−i3−i30000000000−i3i3i3−i3−i3i3000000000000
χ432222-2-22-1-2-2-1-12-122-2-1-2222-2-21111-1-1-111-1-1-2-2-2-2221111-211111-1-122-1-111-1-1-1-10000−i3−i3i3i30000000000i3−i3i3−i3−i3i3000000000000
χ442222-2-22-1-2-2-1-12-122-2-1-2222-2-21111-1-1-111-1-1-2-2-2-2221111-211111-1-122-1-111-1-1-1-10000i3i3−i3−i30000000000−i3i3−i3i3i3−i3000000000000
χ452222-2-2-122222-12-1-12-1-2-22-211-2-222-1-1-122-2-211-1-1-1-1-1-1-1-1-111-1-1-2-2211111111-1-100220000-1-1-1-1002-20-2000000-1-11111000000
χ462222-2-2-122222-12-1-12-1-2-22-211-2-222-1-1-122-2-211-1-1-1-1-1-1-1-1-111-1-1-2-2211111111-1-100-2-20000111100-220200000011-1-1-1-1000000
χ472222-2-2-122222-12-1-1-2-12-2-2211-2-2-2-2-1-1-12222-1-1-1-111-1-1-1-1111112-2-21-1-1-1-1-1111100220000-1-1-1-100-220-200000011-1-111000000
χ482222-2-2-122222-12-1-1-2-12-2-2211-2-2-2-2-1-1-12222-1-1-1-111-1-1-1-1111112-2-21-1-1-1-1-1111100-2-200001111002-202000000-1-111-1-1000000
χ492222-2-2-12-2-222-12-1-12-122-2-211-2-222-1-1-1-2-2-2-2-1-111111111-111-1-122-2-1111-1-1-1-11100000000−i3−i3i3i3000000000000−i3i3i3−i3i3−i3000000
χ502222-2-2-12-2-222-12-1-12-122-2-211-2-222-1-1-1-2-2-2-2-1-111111111-111-1-122-2-1111-1-1-1-11100000000i3i3−i3−i3000000000000i3−i3−i3i3−i3i3000000
χ512222-2-2-12-2-222-12-1-1-2-1-222211-2-2-2-2-1-1-1-2-2221111-1-1111111111-222-1-1-1-111-1-1-1-100000000−i3−i3i3i3000000000000i3−i3−i3i3i3−i3000000
χ522222-2-2-12-2-222-12-1-1-2-1-222211-2-2-2-2-1-1-1-2-2221111-1-1111111111-222-1-1-1-111-1-1-1-100000000i3i3−i3−i3000000000000−i3i3i3−i3−i3i3000000
χ532-22-200222-2-22-2-22-2020000000000-2-222-200002-20022-2-20000000000000000002-22i−2i2-22-22i−2i2i−2i0000000000000000002i−2i0000
χ542-22-200222-2-22-2-22-2020000000000-2-222-200002-20022-2-20000000000000000002-2−2i2i2-22-2−2i2i−2i2i000000000000000000−2i2i0000
χ552-22-200222-2-22-2-22-2020000000000-2-222-200002-20022-2-2000000000000000000-222i−2i-22-222i−2i2i−2i000000000000000000−2i2i0000
χ562-22-200222-2-22-2-22-2020000000000-2-222-200002-20022-2-2000000000000000000-22−2i2i-22-22−2i2i−2i2i0000000000000000002i−2i0000
χ57444444-2-244-2-2-2-2-2-2414444-2-2-2-2-2-2111-2-2-2-2-2-2-2-2-2-21111-21111-2-2-2-2-211111111000000000000000000000000000000000000
χ58444444-2-244-2-2-2-2-2-2-41-44-4-4-2-2-2-222111-2-22222-2-2221111211-1-12-22-22-1-1-1-111-1-1000000000000000000000000000000000000
χ59444444-2-2-4-4-2-2-2-2-2-241-4-4-44-2-2-2-2-2-211122-2-2222222-1-1-1-1-211112222-211-1-1-1-1-1-1000000000000000000000000000000000000
χ60444444-2-2-4-4-2-2-2-2-2-2-414-44-4-2-2-2-2221112222-2-222-2-2-1-1-1-1211-1-1-22-222-1-111-1-111000000000000000000000000000000000000
χ614444-4-4-2-244-2-2-2-2-2-241-4-44-42222-2-2111-2-22222-2-2-2-21111-2-1-11122-222-1-1-1-1-1-111000000000000000000000000000000000000
χ624444-4-4-2-244-2-2-2-2-2-2-414-4-44222222111-2-2-2-2-2-2-2-22211112-1-1-1-1-2222-21111-1-1-1-1000000000000000000000000000000000000
χ634444-4-4-2-2-4-4-2-2-2-2-2-24144-4-42222-2-21112222-2-22222-1-1-1-1-2-1-111-2-22-22-1-11111-1-1000000000000000000000000000000000000
χ644444-4-4-2-2-4-4-2-2-2-2-2-2-41-444422222211122-2-22222-2-2-1-1-1-12-1-1-1-12-2-2-2-211-1-11111000000000000000000000000000000000000
χ6544-4-40044004-44-4-4-40400000000004-4-40000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ6644-4-40044004-44-4-4-40400000000004-4-400000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ674-44-40044-44-44-4-44-4040000000000-4-44-440000-4400-4-444000000000000000000000000000000000000000000000000000000
χ684-44-4004-24-42-2-424-40-2000000000022-2-2200004-400-2-2220000000000000000004-400-22-220000000000000000000000000000
χ694-44-4004-24-42-2-424-40-2000000000022-2-2200004-400-2-222000000000000000000-44002-22-20000000000000000000000000000
χ704-44-4004-2-442-2-424-40-2000000000022-22-20000-440022-2-20000000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ714-44-4004-2-442-2-424-40-2000000000022-22-20000-440022-2-200000000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ724-44-400-244-4-442-4-220-2000000000022-24-40000-2200-2-222000000000000000000004i−4i0000−2i2i−2i2i000000000000000000000000
χ734-44-400-244-4-442-4-220-2000000000022-24-40000-2200-2-22200000000000000000000−4i4i00002i−2i2i−2i000000000000000000000000
χ744-44-400-24-44-442-4-220-2000000000022-2-4400002-20022-2-20000000000000000000000000023−23−2323000000000000000000000000
χ754-44-400-24-44-442-4-220-2000000000022-2-4400002-20022-2-200000000000000000000000000−232323−23000000000000000000000000
χ764-4-444-44400-4-4-44-440400004-44-400-44-40000000000000004-4000000000000000000000000000000000000000000000000000
χ774-4-444-44-20022-4-2-440-200004-4-22−2i32i32-2200−2i32i300000000000-22−2i32i300000−2i32i3000000000000000000000000000000000000000000
χ784-4-444-44-20022-4-2-440-200004-4-222i3−2i32-22002i3−2i300000000000-222i3−2i3000002i3−2i3000000000000000000000000000000000000000000
χ794-4-444-4-2400-4-4242-20-20000-224-4002-22000023−230023−2300000-2200000000023−230023−23000000000000000000000000000000000000
χ804-4-444-4-2400-4-4242-20-20000-224-4002-220000−232300−232300000-22000000000−232300−2323000000000000000000000000000000000000
χ814-4-444-4-2-200222-22-2010000-22-22−2i32i3-11-100−2i32i323−230023−233i−3i3i−3i01-1i3−i300000i3−i3−333i−3i−33000000000000000000000000000000000000
χ824-4-444-4-2-200222-22-2010000-22-22−2i32i3-11-100−2i32i3−232300−2323−3i3i−3i3i01-1i3−i300000i3−i33−3−3i3i3−3000000000000000000000000000000000000
χ834-4-444-4-2-200222-22-2010000-22-222i3−2i3-11-1002i3−2i323−230023−23−3i3i−3i3i01-1−i3i300000−i3i3−33−3i3i−33000000000000000000000000000000000000
χ844-4-444-4-2-200222-22-2010000-22-222i3−2i3-11-1002i3−2i3−232300−23233i−3i3i−3i01-1−i3i300000−i3i33−33i−3i3−3000000000000000000000000000000000000
χ854-4-44-444400-4-4-44-44040000-44-4400-44-4000000000000000-44000000000000000000000000000000000000000000000000000
χ864-4-44-444-20022-4-2-440-20000-442-2−2i32i32-22002i3−2i3000000000002-2−2i32i3000002i3−2i3000000000000000000000000000000000000000000
χ874-4-44-444-20022-4-2-440-20000-442-22i3−2i32-2200−2i32i3000000000002-22i3−2i300000−2i32i3000000000000000000000000000000000000000000
χ884-4-44-44-2400-4-4242-20-200002-2-44002-22000023−2300−2323000002-200000000023−2300−2323000000000000000000000000000000000000
χ894-4-44-44-2400-4-4242-20-200002-2-44002-220000−23230023−23000002-2000000000−23230023−23000000000000000000000000000000000000
χ904-4-44-44-2-200222-22-20100002-22-2−2i32i3-11-1002i3−2i323−2300−2323−3i3i−3i3i0-11i3−i300000−i3i3−333i−3i3−3000000000000000000000000000000000000
χ914-4-44-44-2-200222-22-20100002-22-2−2i32i3-11-1002i3−2i3−23230023−233i−3i3i−3i0-11i3−i300000−i3i33−3−3i3i−33000000000000000000000000000000000000
χ924-4-44-44-2-200222-22-20100002-22-22i3−2i3-11-100−2i32i323−2300−23233i−3i3i−3i0-11−i3i300000i3−i3−33−3i3i3−3000000000000000000000000000000000000
χ934-4-44-44-2-200222-22-20100002-22-22i3−2i3-11-100−2i32i3−23230023−23−3i3i−3i3i0-11−i3i300000i3−i33−33i−3i−33000000000000000000000000000000000000
χ9488-8-8008-400-4484-8-80-40000000000-44400000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-800-48008-8-4-8440-40000000000-44400000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-800-4-400-44-44440200000000002-2-200000000006i−6i−6i6i000000000000000000000000000000000000000000000000000000
χ9788-8-800-4-400-44-44440200000000002-2-20000000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000
χ988-88-800-4-48-84-444-44020000000000-2-22-440000-440022-2-2000000000000000000000000000000000000000000000000000000
χ998-88-800-4-4-884-444-44020000000000-2-224-400004-400-2-222000000000000000000000000000000000000000000000000000000

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