Finite Group Databasebeta

← Group #11865822

Character table — Group #11865822

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order122233446666664444344666881212121224242424224412121212412121212121212122424242424242244466888812122424242412121212124422666612121224244448864
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111111111111111111-1-111-11111-1-1-1-1111111111-1-11-111-1-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-111-1-111-1-1-1-111111-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-111-1-11111-11111-1-111-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-11111-1-1-11111
χ51111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-11111111111111-1-1-1-1-111-1-1-1-1-1-11-1-1111-1-111-1-1
χ61111111111111111111-1-1111111111111111-1-11111-1-1-1-1-1-1-11111111111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111-1-111
χ71111111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-11-1-111111111-1-11-1-1-1-11-1-1-1-111
χ81111111111111111111-1-1111-1-11111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-11-1-111-1-11-11111-1-1-111-11111-1-1
χ911111111111111-1-1-1-11111111111111111-1-111-1-1-1-111111111111111111-1-11-1-1-1-11111-1-1-1-111111-1-1-11-1-1111-1-111-1-1-1-1-11-1
χ1011111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-111111-11
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-11-1-111-1-1111111-111-1-1-1-11-111111-1-1-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1-1111111-1-1-1-1-111111-1-11-1
χ1311111111111111-1-1-1-11-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-111-1-111111-111-1-1-11
χ1411111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-11-1-1111-1
χ1511111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111-1-111-1-11111111-1-111-1-1-11-1-1-1-1111-1-1-111111-1
χ1611111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-1-11111-1-111111-1-11111-1-1-1-111-111111-1-1-1-1-11
χ17222222-2-2222222222220022200-2-2-2-20000-2-22222220000000-2-20000000000-2-2-200002200000000022000000-20000-2000000
χ18222222-2-2222222222220022200-2-2-2-20000-2-2-2-222220000000-2-200000000002-2-20000-2-2000000000-2-2000000200002000000
χ19222222-2-2222222-2-2-2-220022200-2-2-2-200002222-2-2-2-20000000-2-20000000000-222000022000000000-2-2000000-200002000000
χ20222222-2-2222222-2-2-2-220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000002220000-2-20000000002200000020000-2000000
χ2122222-1222-1-1-1220000-122-1-1-122-12-12222200220000222-1-122-1-1-1-1-1-1-1-122002000022-1-10000-1-1-1-1-1000200-1-1-100-1-100000-10
χ2222222-1222-1-1-1220000-122-1-1-122-12-12222200-2-20000222-1-122-1-1-1-1-1-1-1-1-2-200-20000-2-2110000-1-1-1-1-1000-20011100110000010
χ2322222-1222-1-1-1220000-122-1-1-1-2-2-12-12-2-2-2-200220000-222-1-1-2-2-1-1111111220020000-2-2-1-100001-1-111000-200-1-1-100110000010
χ2422222-1222-1-1-1220000-122-1-1-1-2-2-12-12-2-2-2-200-2-20000-222-1-1-2-2-1-1111111-2-200-20000221100001-1-11100020011100-1-100000-10
χ2522222-1222-1-1-1220000-1-2-2-1-1-122-12-12222200220000-2-2-211-2-2-1-1-1-1-1-1-1-1-2-2002000022-1-1000011111000-20011-100-1-10000010
χ2622222-1222-1-1-1220000-1-2-2-1-1-122-12-12222200-2-20000-2-2-211-2-2-1-1-1-1-1-1-1-12200-20000-2-211000011111000200-1-11001100000-10
χ2722222-1222-1-1-1220000-1-2-2-1-1-1-2-2-12-12-2-2-2-2002200002-2-21122-1-1111111-2-20020000-2-2-1-10000-111-1-100020011-1001100000-10
χ2822222-1222-1-1-1220000-1-2-2-1-1-1-2-2-12-12-2-2-2-200-2-200002-2-21122-1-11111112200-2000022110000-111-1-1000-200-1-1100-1-10000010
χ292222-1222-1222-1-12222-122-1-1-1222-12-1-1-1-1-12200-1-1-1-12-1-122-1-1-1-122-1-1-1-100220-1-1220000-1-1-1-12-1-1-1-10020-1-1000-1-1000000000
χ302222-1222-1222-1-12222-122-1-1-1-2-22-12-111112200-1-1-1-1-2-1-12211-1-1-2-2111100220-1-1-2-200001111-2-1-11100-2011000-1-1000000000
χ312222-1222-1222-1-12222-1-2-2-1-1-1222-12-1-1-1-1-12200-1-1-1-1-211-2-211-1-122-1-1-1-100-2-20-1-1220000-1-1-1-1-2111100-201100011000000000
χ322222-1222-1222-1-12222-1-2-2-1-1-1-2-22-12-111112200-1-1-1-1211-2-2-1-1-1-1-2-2111100-2-20-1-1-2-200001111211-1-10020-1-100011000000000
χ332222-1222-1222-1-1-2-2-2-2-122-1-1-1222-12-1-1-1-1-1-2-20011112-1-122-1-1-1-122-1-1-1-100-2-2011-2-2000011112-1-1-1-100-201100011000000000
χ342222-1222-1222-1-1-2-2-2-2-122-1-1-1-2-22-12-11111-2-2001111-2-1-12211-1-1-2-2111100-2-2011220000-1-1-1-1-2-1-1110020-1-100011000000000
χ352222-1222-1222-1-1-2-2-2-2-1-2-2-1-1-1222-12-1-1-1-1-1-2-2001111-211-2-211-1-122-1-1-1-10022011-2-200001111-211110020-1-1000-1-1000000000
χ362222-1222-1222-1-1-2-2-2-2-1-2-2-1-1-1-2-22-12-11111-2-2001111211-2-2-1-1-1-1-2-211110022011220000-1-1-1-1211-1-100-2011000-1-1000000000
χ372-22-22200-22-2-22-22i2i−2i−2i2002-2-22−2000022−2−2002i−2i2i2i−2i−2i0000000002−222−2−20000000−i2i2−i2i22i−2i−i2−i2i2i2000002-2000000000−i2i20002−200
χ382-22-22200-22-2-22-22i2i−2i−2i2002-2-22−2000022−2−200−2i2i2i2i−2i−2i0000000002−222−2−20000000−i2i2i2−i2−2i2i−i2−i2i2i200000-22000000000i2−i2000−2200
χ392-22-22200-22-2-22-22i2i−2i−2i2002-2-2−220000−2−222002i−2i2i2i−2i−2i000000000−22−2−2220000000i2−i2i2−i22i−2ii2i2−i2−i2000002-2000000000i2−i2000−2200
χ402-22-22200-22-2-22-22i2i−2i−2i2002-2-2−220000−2−22200−2i2i2i2i−2i−2i000000000−22−2−2220000000i2−i2−i2i2−2i2ii2i2−i2−i200000-22000000000−i2i20002−200
χ412-22-22200-22-2-22-2−2i−2i2i2i2002-2-22−2000022−2−2002i−2i−2i−2i2i2i0000000002−222−2−20000000i2−i2−i2i22i−2ii2i2−i2−i200000-22000000000−i2i2000−2200
χ422-22-22200-22-2-22-2−2i−2i2i2i2002-2-22−2000022−2−200−2i2i−2i−2i2i2i0000000002−222−2−20000000i2−i2i2−i2−2i2ii2i2−i2−i2000002-2000000000i2−i20002−200
χ432-22-22200-22-2-22-2−2i−2i2i2i2002-2-2−220000−2−222002i−2i−2i−2i2i2i000000000−22−2−2220000000−i2i2i2−i22i−2i−i2−i2i2i200000-22000000000i2−i20002−200
χ442-22-22200-22-2-22-2−2i−2i2i2i2002-2-2−220000−2−22200−2i2i−2i−2i2i2i000000000−22−2−2220000000−i2i2−i2i2−2i2i−i2−i2i2i2000002-2000000000−i2i2000−2200
χ452-2-22222-2-2-22-2-222-22-222i−2i-2-220022-2-200002-2002-22-202i−2i2i−2i002-2000000002i−2i02-2000000000002i−2i000000000002i−2i000000000
χ462-2-22222-2-2-22-2-222-22-22−2i2i-2-220022-2-200002-2002-22-20−2i2i−2i2i002-200000000−2i2i02-200000000000−2i2i00000000000−2i2i000000000
χ472-2-22222-2-2-22-2-22-22-2222i−2i-2-220022-2-20000-2200-22-2202i−2i2i−2i002-200000000−2i2i0-22000000000002i−2i00000000000−2i2i000000000
χ482-2-22222-2-2-22-2-22-22-222−2i2i-2-220022-2-20000-2200-22-220−2i2i−2i2i002-2000000002i−2i0-2200000000000−2i2i000000000002i−2i000000000
χ492-2-2222-22-2-22-2-222-22-2200-2-2200-2-2220000-22002-22-20000000-220000002-2000-220000000000000000000002-20000002-20000
χ502-2-2222-22-2-22-2-222-22-2200-2-2200-2-2220000-22002-22-20000000-22000000-22000-22000000000000000000000-22000000-220000
χ512-2-2222-22-2-22-2-22-22-22200-2-2200-2-22200002-200-22-220000000-220000002-20002-20000000000000000000002-2000000-220000
χ522-2-2222-22-2-22-2-22-22-22200-2-2200-2-22200002-200-22-220000000-22000000-220002-2000000000000000000000-220000002-20000
χ532-2-22-122-21-22-21-12-22-2-12i−2i11-1002-1-213−33−32-200-11-110−ii2i−2i−i3i3-11003−33−3002i−2i0-110000003−33−30−ii−i3i30000−i3i3000−ii000000000
χ542-2-22-122-21-22-21-12-22-2-12i−2i11-1002-1-21−33−332-200-11-110−ii2i−2ii3−i3-1100−33−33002i−2i0-11000000−33−330−iii3−i30000i3−i3000−ii000000000
χ552-2-22-122-21-22-21-12-22-2-1−2i2i11-1002-1-213−33−32-200-11-110i−i−2i2ii3−i3-11003−33−300−2i2i0-110000003−33−30i−ii3−i30000i3−i3000i−i000000000
χ562-2-22-122-21-22-21-12-22-2-1−2i2i11-1002-1-21−33−332-200-11-110i−i−2i2i−i3i3-1100−33−3300−2i2i0-11000000−33−330i−i−i3i30000−i3i3000i−i000000000
χ572-2-22-122-21-22-21-1-22-22-12i−2i11-1002-1-213−33−3-22001-11-10−ii2i−2i−i3i3-11003−33−300−2i2i01-1000000−33−330−ii−i3i30000i3−i3000i−i000000000
χ582-2-22-122-21-22-21-1-22-22-12i−2i11-1002-1-21−33−33-22001-11-10−ii2i−2ii3−i3-1100−33−3300−2i2i01-10000003−33−30−iii3−i30000−i3i3000i−i000000000
χ592-2-22-122-21-22-21-1-22-22-1−2i2i11-1002-1-213−33−3-22001-11-10i−i−2i2ii3−i3-11003−33−3002i−2i01-1000000−33−330i−ii3−i30000−i3i3000−ii000000000
χ602-2-22-122-21-22-21-1-22-22-1−2i2i11-1002-1-21−33−33-22001-11-10i−i−2i2i−i3i3-1100−33−33002i−2i01-10000003−33−30i−i−i3i30000i3−i3000−ii000000000
χ6144444-2-4-44-2-2-2440000-200-2-2-2002-42-40000004400000000000220000000000-4000000-2-200000000000000000200000000000
χ6244444-2-4-44-2-2-2440000-200-2-2-2002-42-4000000-4-40000000000022000000000040000002200000000000000000-200000000000
χ634444-24-4-4-2444-2-24444-200-2-2-200-42-420000-4-400-2-2-2-2000000022000000000002200000000000000000000000000000000000
χ644444-24-4-4-2444-2-2-4-4-4-4-200-2-2-200-42-4200004400222200000002200000000000-2-200000000000000000000000000000000000
χ654444-2-244-2-2-2-2-2-2000014411144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-2111100000000000000000-2111100000000000000000000
χ664444-2-244-2-2-2-2-2-20000144111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-100000000000000000211-1-100000000000000000000
χ674444-2-244-2-2-2-2-2-200001-4-411144-2-2-2-2-2-2-2-200000000-422222211-2-21111000000000000000002-1-1-1-100000000000000000000
χ684444-2-244-2-2-2-2-2-200001-4-4111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-100000000000000000-2-1-11100000000000000000000
χ6944-4-444004-4-44-4-44i−4i−4i4i400-44-4000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ7044-4-444004-4-44-4-4−4i4i4i−4i400-44-400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ7144-4-4-2400-2-4-44224i−4i−4i4i-2002-220000006−6−660000−2i2i2i−2i000000000006−6−660000000000000−i6i6i6−i60000000000000000000000000
χ7244-4-4-2400-2-4-44224i−4i−4i4i-2002-22000000−666−60000−2i2i2i−2i00000000000−666−60000000000000i6−i6−i6i60000000000000000000000000
χ7344-4-4-2400-2-4-4422−4i4i4i−4i-2002-220000006−6−6600002i−2i−2i2i000000000006−6−660000000000000i6−i6−i6i60000000000000000000000000
χ7444-4-4-2400-2-4-4422−4i4i4i−4i-2002-22000000−666−600002i−2i−2i2i00000000000−666−60000000000000−i6i6i6−i60000000000000000000000000
χ754-44-44-200-4-2224-40000-200-22222−2200002222−22−22004i−4i0000000000000−22−2−222000000000−2i22i2−2i2i00000000000000000000i2−i20000000
χ764-44-44-200-4-2224-40000-200-22222−2200002222−22−2200−4i4i0000000000000−22−2−2220000000002i2−2i22i−2i00000000000000000000−i2i20000000
χ774-44-44-200-4-2224-40000-200-222−22220000−22−222222004i−4i00000000000002−222−2−20000000002i2−2i2−2i2i00000000000000000000−i2i20000000
χ784-44-44-200-4-2224-40000-200-222−22220000−22−22222200−4i4i00000000000002−222−2−2000000000−2i22i22i−2i00000000000000000000i2−i20000000
χ794-44-4-240024-4-4-224i4i−4i−4i-200-22222−220000−2−2220000−2i−2i2i2i00000000022−22−2−2220000000−2i22i20000i2i2−i2−i20000000000000000000000000
χ804-44-4-240024-4-4-224i4i−4i−4i-200-222−2222000022−2−20000−2i−2i2i2i000000000−222222−2−200000002i2−2i20000−i2−i2i2i20000000000000000000000000
χ814-44-4-240024-4-4-22−4i−4i4i4i-200-22222−220000−2−22200002i2i−2i−2i00000000022−22−2−22200000002i2−2i20000−i2−i2i2i20000000000000000000000000
χ824-44-4-240024-4-4-22−4i−4i4i4i-200-222−2222000022−2−200002i2i−2i−2i000000000−222222−2−20000000−2i22i20000i2i2−i2−i20000000000000000000000000
χ834-4-444-24-4-42-22-440000-24i−4i22-200-242-400000000000004i−4i−2i2i00-22000000000000000000000000−2i2i0000000000000000000000
χ844-4-444-24-4-42-22-440000-2−4i4i22-200-242-40000000000000−4i4i2i−2i00-220000000000000000000000002i−2i0000000000000000000000
χ854-4-444-2-44-42-22-440000-20022-2002-4-2400000000000000000002-20000004-400000000000000000000000000-22000000000000
χ864-4-444-2-44-42-22-440000-20022-2002-4-2400000000000000000002-2000000-44000000000000000000000000002-2000000000000
χ874-4-44-24-442-44-42-24-44-4-20022-200-424-20000-4400-22-2200000002-2000000000002-200000000000000000000000000000000000
χ884-4-44-24-442-44-42-2-44-44-20022-200-424-200004-4002-22-200000002-200000000000-2200000000000000000000000000000000000
χ894-4-44-2-24-422-222-2000014i−4i-1-1100-2-22223−2323−23000000000−2i2i−2i2i−2i32i31-100−33−33000000000000000000i−ii3−i300000000000000000000
χ904-4-44-2-24-422-222-2000014i−4i-1-1100-2-222−2323−2323000000000−2i2i−2i2i2i3−2i31-1003−33−3000000000000000000i−i−i3i300000000000000000000
χ914-4-44-2-24-422-222-200001−4i4i-1-1100-2-22223−2323−230000000002i−2i2i−2i2i3−2i31-100−33−33000000000000000000−ii−i3i300000000000000000000
χ924-4-44-2-24-422-222-200001−4i4i-1-1100-2-222−2323−23230000000002i−2i2i−2i−2i32i31-1003−33−3000000000000000000−iii3−i300000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400002002220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-88-400844-4-8-80000-4004-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-400-444-4440000200-22-200000026−26−26260000000000000000000−666−6000000000000000000000000000000000000000000
χ9688-8-8-4-400-444-4440000200-22-2000000−262626−2600000000000000000006−6−66000000000000000000000000000000000000000000
χ978-88-8-4-4004-444-4400002002-2-242−420000−22−22222200000000000000000−222222−2−2000000000000000000000000000000000000000000
χ988-88-8-4-4004-444-4400002002-2-2−424200002222−22−220000000000000000022−22−2−222000000000000000000000000000000000000000000
χ998-8-88-4-4-8844-444-40000200-2-220044-4-40000000000000000000-22000000000000000000000000000000000000000000000000

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