Finite Group Databasebeta

← Group #11865820

Character table — Group #11865820

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order122233446666664444344666881212121224242424224412121212412121212121212122424242424244444466888812122424242412121212124424661212121212242422488122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111111111111111111-111-1-11111-1-1-1-1111111111-1-11-111-111-1-1-1-1-1-1-1-1-1-1-1
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
χ4111111111111111111111111-1-11111-1-1-1-111-1-11111-11111-1-111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-111-1-1-1-1-11-1-1-111-1-111-1-1-11111
χ51111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1111111111-1-1-1-1111111111111-1-1-1-1-111-1-1-1-11-1-1-1-111-1-1111-1-1
χ61111111111111111111-1-1111111111111111-1-11111-1-1-1-1-1-1-111111111-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-111-1-1-111
χ71111111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-11-1-111
χ81111111111111111111-1-1111-1-11111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-111-1-11-111-1-1-1111111-111-1-1
χ911111111111111-1-1-1-11111111111111111-1-111-1-1-1-11111111111111111-1-111-1-1-1-11111-1-1-1-111111-1-1-11-1-11-1-11111-1-1-1-1-11-1
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
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-111-1-111-1-1111111-111-1-1-1-11-1111-1-111-1-1-1-1-111-11
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
χ1311111111111111-1-1-1-11-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-111111-1-11111-1-1-1-11
χ1411111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-1-1-11111-1
χ1511111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111-1-1-1-111-1-11111111-1-111-1-1-11-1-1111-1-1-1-111-1111-1
χ1611111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-11111-1-11111-1-111111-1-11111-1-1-1-1-1111111-1-11-1-1-11
χ17222222-2-2222222222220022200-2-2-2-20000-2-22222220000000-2-2000000-20000-2-2000022000000000220000-200000000-20000
χ18222222-2-2222222222220022200-2-2-2-20000-2-2-2-222220000000-2-200000020000-2-20000-2-2000000000-2-2000020000000020000
χ19222222-2-2222222-2-2-2-220022200-2-2-2-200002222-2-2-2-20000000-2-2000000-2000022000022000000000-2-20000-20000000020000
χ20222222-2-2222222-2-2-2-220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000020000220000-2-2000000000220000200000000-20000
χ2122222-122-122-1-122222-122-1-1-122-12-12-1-1-1-12200-1-1-1-12-1-122-1-1-1-122-1-1-1-102200-1-1220000-1-1-1-12-1-1-1-10020-1-10-1-100000000000
χ2222222-122-122-1-122222-122-1-1-1-2-2-12-1211112200-1-1-1-1-2-1-12211-1-1-2-2111102200-1-1-2-200001111-2-1-11100-20110-1-100000000000
χ2322222-122-122-1-122222-1-2-2-1-1-122-12-12-1-1-1-12200-1-1-1-1-211-2-211-1-122-1-1-1-10-2-200-1-1220000-1-1-1-1-2111100-201101100000000000
χ2422222-122-122-1-122222-1-2-2-1-1-1-2-2-12-1211112200-1-1-1-1211-2-2-1-1-1-1-2-211110-2-200-1-1-2-200001111211-1-10020-1-101100000000000
χ2522222-122-122-1-12-2-2-2-2-122-1-1-122-12-12-1-1-1-1-2-20011112-1-122-1-1-1-122-1-1-1-10-2-20011-2-2000011112-1-1-1-100-201101100000000000
χ2622222-122-122-1-12-2-2-2-2-122-1-1-1-2-2-12-121111-2-2001111-2-1-12211-1-1-2-211110-2-20011220000-1-1-1-1-2-1-1110020-1-101100000000000
χ2722222-122-122-1-12-2-2-2-2-1-2-2-1-1-122-12-12-1-1-1-1-2-2001111-211-2-211-1-122-1-1-1-10220011-2-200001111-211110020-1-10-1-100000000000
χ2822222-122-122-1-12-2-2-2-2-1-2-2-1-1-1-2-2-12-121111-2-2001111211-2-2-1-1-1-1-2-211110220011220000-1-1-1-1211-1-100-20110-1-100000000000
χ292222-12222-1-122-10000-122-1-1-1222-12-1222200220000222-1-122-1-1-1-1-1-1-1-120022000022-1-10000-1-1-1-1-1000200-100-1-1-1-100000-10
χ302222-12222-1-122-10000-122-1-1-1222-12-1222200-2-20000222-1-122-1-1-1-1-1-1-1-1-200-2-20000-2-2110000-1-1-1-1-1000-20010011110000010
χ312222-12222-1-122-10000-122-1-1-1-2-22-12-1-2-2-2-200220000-222-1-1-2-2-1-1111111200220000-2-2-1-100001-1-111000-200-100-1-1110000010
χ322222-12222-1-122-10000-122-1-1-1-2-22-12-1-2-2-2-200-2-20000-222-1-1-2-2-1-1111111-200-2-20000221100001-1-11100020010011-1-100000-10
χ332222-12222-1-122-10000-1-2-2-1-1-1222-12-1222200220000-2-2-211-2-2-1-1-1-1-1-1-1-1200-2-2000022-1-1000011111000-200-10011-1-10000010
χ342222-12222-1-122-10000-1-2-2-1-1-1222-12-1222200-2-20000-2-2-211-2-2-1-1-1-1-1-1-1-1-200220000-2-211000011111000200100-1-11100000-10
χ352222-12222-1-122-10000-1-2-2-1-1-1-2-22-12-1-2-2-2-2002200002-2-21122-1-1111111200-2-20000-2-2-1-10000-111-1-1000200-100111100000-10
χ362222-12222-1-122-10000-1-2-2-1-1-1-2-22-12-1-2-2-2-200-2-200002-2-21122-1-1111111-20022000022110000-111-1-1000-200100-1-1-1-10000010
χ372-22-22200-22-22-2-22i2i−2i−2i2002-2-22−2000022−2−2002-22i2i−2i−2i0000000002−222−2−20000000−i2i22−22-2−i2−i2i2i2000002i−2i0000000002−2000−i2i200
χ382-22-22200-22-22-2-22i2i−2i−2i2002-2-22−2000022−2−200-222i2i−2i−2i0000000002−222−2−20000000−i2i2−22-22−i2−i2i2i200000−2i2i000000000−22000i2−i200
χ392-22-22200-22-22-2-22i2i−2i−2i2002-2-2−220000−2−222002-22i2i−2i−2i000000000−22−2−2220000000i2−i2−222-2i2i2−i2−i2000002i−2i000000000−22000i2−i200
χ402-22-22200-22-22-2-22i2i−2i−2i2002-2-2−220000−2−22200-222i2i−2i−2i000000000−22−2−2220000000i2−i22−2-22i2i2−i2−i200000−2i2i0000000002−2000−i2i200
χ412-22-22200-22-22-2-2−2i−2i2i2i2002-2-22−2000022−2−2002-2−2i−2i2i2i0000000002−222−2−20000000i2−i22−22-2i2i2−i2−i200000−2i2i0000000002−2000i2−i200
χ422-22-22200-22-22-2-2−2i−2i2i2i2002-2-22−2000022−2−200-22−2i−2i2i2i0000000002−222−2−20000000i2−i2−22-22i2i2−i2−i2000002i−2i000000000−22000−i2i200
χ432-22-22200-22-22-2-2−2i−2i2i2i2002-2-2−220000−2−222002-2−2i−2i2i2i000000000−22−2−2220000000−i2i2−222-2−i2−i2i2i200000−2i2i000000000−22000−i2i200
χ442-22-22200-22-22-2-2−2i−2i2i2i2002-2-2−220000−2−22200-22−2i−2i2i2i000000000−22−2−2220000000−i2i22−2-22−i2−i2i2i2000002i−2i0000000002−2000i2−i200
χ452-2-22222-2-2-2-2-2222-22-222i−2i-2-220022-2-200002-2002-22-202i−2i2i−2i002-200000002i−2i002-2000000000002i−2i0000000002i−2i00000000000
χ462-2-22222-2-2-2-2-2222-22-22−2i2i-2-220022-2-200002-2002-22-20−2i2i−2i2i002-20000000−2i2i002-200000000000−2i2i000000000−2i2i00000000000
χ472-2-22222-2-2-2-2-222-22-2222i−2i-2-220022-2-20000-2200-22-2202i−2i2i−2i002-20000000−2i2i00-22000000000002i−2i000000000−2i2i00000000000
χ482-2-22222-2-2-2-2-222-22-222−2i2i-2-220022-2-20000-2200-22-220−2i2i−2i2i002-200000002i−2i00-2200000000000−2i2i0000000002i−2i00000000000
χ492-2-2222-22-2-2-2-2222-22-2200-2-2200-2-2220000-22002-22-20000000-220000000002-2-220000000000000000000000002-2002-200000
χ502-2-2222-22-2-2-2-2222-22-2200-2-2200-2-2220000-22002-22-20000000-22000000000-22-22000000000000000000000000-2200-2200000
χ512-2-2222-22-2-2-2-222-22-22200-2-2200-2-22200002-200-22-220000000-220000000002-22-20000000000000000000000002-200-2200000
χ522-2-2222-22-2-2-2-222-22-22200-2-2200-2-22200002-200-22-220000000-22000000000-222-2000000000000000000000000-22002-200000
χ532-2-222-12-21-2-21-122-22-2-12i−2i11-100-121-23−33−32-200-11-110−ii2i−2i−i3i3-11003−33−302i−2i00-110000003−33−30−ii−i3i30000−i3i30−ii00000000000
χ542-2-222-12-21-2-21-122-22-2-12i−2i11-100-121-2−33−332-200-11-110−ii2i−2ii3−i3-1100−33−3302i−2i00-11000000−33−330−iii3−i30000i3−i30−ii00000000000
χ552-2-222-12-21-2-21-122-22-2-1−2i2i11-100-121-23−33−32-200-11-110i−i−2i2ii3−i3-11003−33−30−2i2i00-110000003−33−30i−ii3−i30000i3−i30i−i00000000000
χ562-2-222-12-21-2-21-122-22-2-1−2i2i11-100-121-2−33−332-200-11-110i−i−2i2i−i3i3-1100−33−330−2i2i00-11000000−33−330i−i−i3i30000−i3i30i−i00000000000
χ572-2-222-12-21-2-21-12-22-22-12i−2i11-100-121-23−33−3-22001-11-10−ii2i−2i−i3i3-11003−33−30−2i2i001-1000000−33−330−ii−i3i30000i3−i30i−i00000000000
χ582-2-222-12-21-2-21-12-22-22-12i−2i11-100-121-2−33−33-22001-11-10−ii2i−2ii3−i3-1100−33−330−2i2i001-10000003−33−30−iii3−i30000−i3i30i−i00000000000
χ592-2-222-12-21-2-21-12-22-22-1−2i2i11-100-121-23−33−3-22001-11-10i−i−2i2ii3−i3-11003−33−302i−2i001-1000000−33−330i−ii3−i30000−i3i30−ii00000000000
χ602-2-222-12-21-2-21-12-22-22-1−2i2i11-100-121-2−33−33-22001-11-10i−i−2i2i−i3i3-1100−33−3302i−2i001-10000003−33−30i−i−i3i30000i3−i30−ii00000000000
χ6144444-2-4-4-244-2-244444-200-2-2-2002-42-40000-4-400-2-2-2-2000000022000000000002200000000000000000000000000000000000
χ6244444-2-4-4-244-2-24-4-4-4-4-200-2-2-2002-42-400004400222200000002200000000000-2-200000000000000000000000000000000000
χ634444-24-4-44-2-244-20000-200-2-2-200-42-42000000440000000000022000000-40000000000-2-200000000000000020000000000000
χ644444-24-4-44-2-244-20000-200-2-2-200-42-42000000-4-400000000000220000004000000000022000000000000000-20000000000000
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
χ6944-4-444004-44-4-4-44i−4i−4i4i400-44-4000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ7044-4-444004-44-4-4-4−4i4i4i−4i400-44-400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ7144-4-44-200-2-4422-44i−4i−4i4i-2002-220000006−6−660000−2i2i2i−2i000000000006−6−660000000000000−i6i6i6−i60000000000000000000000000
χ7244-4-44-200-2-4422-44i−4i−4i4i-2002-22000000−666−60000−2i2i2i−2i00000000000−666−60000000000000i6−i6−i6i60000000000000000000000000
χ7344-4-44-200-2-4422-4−4i4i4i−4i-2002-220000006−6−6600002i−2i−2i2i000000000006−6−660000000000000i6−i6−i6i60000000000000000000000000
χ7444-4-44-200-2-4422-4−4i4i4i−4i-2002-22000000−666−600002i−2i−2i2i00000000000−666−60000000000000−i6i6i6−i60000000000000000000000000
χ754-44-44-20024-4-22-44i4i−4i−4i-200-22222−220000−2−2220000−2i−2i2i2i00000000022−22−2−2220000000−2i22i20000i2i2−i2−i20000000000000000000000000
χ764-44-44-20024-4-22-44i4i−4i−4i-200-222−2222000022−2−20000−2i−2i2i2i000000000−222222−2−200000002i2−2i20000−i2−i2i2i20000000000000000000000000
χ774-44-44-20024-4-22-4−4i−4i4i4i-200-22222−220000−2−22200002i2i−2i−2i00000000022−22−2−22200000002i2−2i20000−i2−i2i2i20000000000000000000000000
χ784-44-44-20024-4-22-4−4i−4i4i4i-200-222−2222000022−2−200002i2i−2i−2i000000000−222222−2−20000000−2i22i20000i2i2−i2−i20000000000000000000000000
χ794-44-4-2400-4-224-420000-200-22222−2200002222−22−22004-40000000000000−22−2−22200000000022−22-2200000000000000000000−220000000
χ804-44-4-2400-4-224-420000-200-22222−2200002222−22−2200-440000000000000−22−2−222000000000−22222-2000000000000000000002−20000000
χ814-44-4-2400-4-224-420000-200-222−22220000−22−222222004-400000000000002−222−2−2000000000−2222-22000000000000000000002−20000000
χ824-44-4-2400-4-224-420000-200-222−22220000−22−22222200-4400000000000002−222−2−200000000022−222-200000000000000000000−220000000
χ834-4-444-2-442-4-42-244-44-4-20022-2002-4-240000-4400-22-2200000002-2000000000002-200000000000000000000000000000000000
χ844-4-444-2-442-4-42-24-44-44-20022-2002-4-2400004-4002-22-200000002-200000000000-2200000000000000000000000000000000000
χ854-4-44-244-4-422-44-20000-24i−4i22-2004-2-4200000000000004i−4i−2i2i00-22000000000000000000000000−2i2i0000000000000000000000
χ864-4-44-244-4-422-44-20000-2−4i4i22-2004-2-420000000000000−4i4i2i−2i00-220000000000000000000000002i−2i0000000000000000000000
χ874-4-44-24-44-422-44-20000-20022-200-424-200000000000000000002-20000000004-400000000000000000000000000-22000000000
χ884-4-44-24-44-422-44-20000-20022-200-424-200000000000000000002-2000000000-44000000000000000000000000002-2000000000
χ894-4-44-2-24-42222-2-2000014i−4i-1-1100-2-22223−2323−23000000000−2i2i−2i2i−2i32i31-100−33−33000000000000000000i−ii3−i300000000000000000000
χ904-4-44-2-24-42222-2-2000014i−4i-1-1100-2-222−2323−2323000000000−2i2i−2i2i2i3−2i31-1003−33−3000000000000000000i−i−i3i300000000000000000000
χ914-4-44-2-24-42222-2-200001−4i4i-1-1100-2-22223−2323−230000000002i−2i2i−2i2i3−2i31-100−33−33000000000000000000−ii−i3i300000000000000000000
χ924-4-44-2-24-42222-2-200001−4i4i-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
χ9488-8-8-480084-4-8-840000-4004-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-400-44-44440000200-22-200000026−26−26260000000000000000000−666−6000000000000000000000000000000000000000000
χ9688-8-8-4-400-44-44440000200-22-2000000−262626−2600000000000000000006−6−66000000000000000000000000000000000000000000
χ978-88-8-4-4004-44-44400002002-2-242−420000−22−22222200000000000000000−222222−2−2000000000000000000000000000000000000000000
χ988-88-8-4-4004-44-44400002002-2-2−424200002222−22−220000000000000000022−22−2−222000000000000000000000000000000000000000000
χ998-8-88-4-4-884444-4-40000200-2-220044-4-40000000000000000000-22000000000000000000000000000000000000000000000000

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