Finite Group Databasebeta

← Group #11870683

Character table — Group #11870683

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order1222334466666644443446668812121212242424244444121212124121212121212121224242424242422444888812121212242424241212121212442466121212121224242448864
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111111111111111111-1-111-1-1-111-1-111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1-111-1-111111-1-1-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-111-1-11111-111-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-111-1-1-1-1-111-1-1-1-11-1-1-1-111-1-111-1-1-11111
χ51111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-11111111111111-1-1-1-1-111-1-1-1-11-1-1-1-1111-1-111-1-1
χ61111111111111111111-1-1111111111111111-1-11111-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-111-1-111
χ71111111111111111111-1-1111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11-1-1111111-1-11-1-111-1-11-1-1-1-111
χ81111111111111111111-1-1111-1-11111-1-1-1-111-1-111111-1-111-1-111-1-1-1-1-1-111-1-1-111-1-1-1-111-1-1-1-11-1-111-1-1-1111-1-1-11111-11111-1-1
χ911111111111111-1-1-1-11111111111111111-1-111-1-1-1-111111111111111111-1-1111-1-111-1-1-1-1-1-111111-1-11-1111-1-1-1-111-1-1-1-1-11-1
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
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11-1-11111-1-11111-111-1-1-1-1-11111-1-111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-11111-1-1-1-1-11111111-1-11-1
χ1311111111111111-1-1-1-11-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-111-1-1-11
χ1411111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-11-1-1111-1
χ1511111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1111-1-11111-1-111111-1-111-1-11-1-1-1111-1-1-1-1-111111-1
χ1611111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-11111-11111-1-1-1-111111-1-11111-1-111-111-1-1111-1-1-1-1-11
χ17222222-2-2222222222220022200-2-2-2-20000-2-22222220000000-2-20000000000-2000022-2-2000000000220000-2000000-2000000
χ18222222-2-2222222222220022200-2-2-2-20000-2-2-2-222220000000-2-2000000000020000-2-2-2-2000000000-2-2000020000002000000
χ19222222-2-2222222-2-2-2-220022200-2-2-2-200002222-2-2-2-20000000-2-20000000000-200002222000000000-2-20000-20000002000000
χ20222222-2-2222222-2-2-2-220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-2000000000020000-2-2220000000002200002000000-2000000
χ2122222-1222-1-1-1220000-122-1-1-122-122-12222002200002-1-12222-1-1-1-1-1-1-1-1220022200-1-1000000-1-1-1-1-10020-1-1-10000-1-100000-10
χ2222222-1222-1-1-1220000-122-1-1-122-122-1222200-2-200002-1-12222-1-1-1-1-1-1-1-1-2-200-2-2-20011000000-1-1-1-1-100-201110000110000010
χ2322222-1222-1-1-1220000-122-1-1-1-2-2-122-1-2-2-2-200220000-2-1-1-2-222-1-111111122002-2-200-1-10000001-1-11100-20-1-1-10000110000010
χ2422222-1222-1-1-1220000-122-1-1-1-2-2-122-1-2-2-2-200-2-20000-2-1-1-2-222-1-1111111-2-200-22200110000001-1-11100201110000-1-100000-10
χ2522222-1222-1-1-1220000-1-2-2-1-1-122-122-1222200220000-211-2-2-2-2-1-1-1-1-1-1-1-1-2-20022200-1-10000001111100-2011-10000-1-10000010
χ2622222-1222-1-1-1220000-1-2-2-1-1-122-122-1222200-2-20000-211-2-2-2-2-1-1-1-1-1-1-1-12200-2-2-20011000000111110020-1-1100001100000-10
χ2722222-1222-1-1-1220000-1-2-2-1-1-1-2-2-122-1-2-2-2-20022000021122-2-2-1-1111111-2-2002-2-200-1-1000000-111-1-1002011-100001100000-10
χ2822222-1222-1-1-1220000-1-2-2-1-1-1-2-2-122-1-2-2-2-200-2-2000021122-2-2-1-11111112200-2220011000000-111-1-100-20-1-110000-1-10000010
χ292222-1222-1222-1-12222-122-1-1-1222-1-12-1-1-1-12200-1-1-1-1222-1-1-1-1-1-122-1-1-1-100220002200-1-1-1-1-1-12-1-1-1-10002000-1-1-1-1000000000
χ302222-1222-1222-1-12222-122-1-1-1-2-22-1-1211112200-1-1-1-1-22211-1-1-1-1-2-211110022000-2-200-1-11111-2-1-111000-2000-1-111000000000
χ312222-1222-1222-1-12222-1-2-2-1-1-1222-1-12-1-1-1-12200-1-1-1-1-2-2-21111-1-122-1-1-1-100-2-20002200-1-1-1-1-1-1-21111000-20001111000000000
χ322222-1222-1222-1-12222-1-2-2-1-1-1-2-22-1-1211112200-1-1-1-12-2-2-1-111-1-1-2-2111100-2-2000-2-200-1-11111211-1-1000200011-1-1000000000
χ332222-1222-1222-1-1-2-2-2-2-122-1-1-1222-1-12-1-1-1-1-2-2001111222-1-1-1-1-1-122-1-1-1-100-2-2000-2-2001111112-1-1-1-1000-20001111000000000
χ342222-1222-1222-1-1-2-2-2-2-122-1-1-1-2-22-1-121111-2-2001111-22211-1-1-1-1-2-2111100-2-2000220011-1-1-1-1-2-1-111000200011-1-1000000000
χ352222-1222-1222-1-1-2-2-2-2-1-2-2-1-1-1222-1-12-1-1-1-1-2-2001111-2-2-21111-1-122-1-1-1-10022000-2-200111111-211110002000-1-1-1-1000000000
χ362222-1222-1222-1-1-2-2-2-2-1-2-2-1-1-1-2-22-1-121111-2-20011112-2-2-1-111-1-1-2-211110022000220011-1-1-1-1211-1-1000-2000-1-111000000000
χ372-22-2222-2-22-2-22-22i2i−2i−2i200-2-2200-22-2200002i−2i002i2i−2i−2i0000000-220000002-20000000002i−2i00000000000002-2000000002i−2i0000
χ382-22-2222-2-22-2-22-22i2i−2i−2i200-2-2200-22-2200002i−2i002i2i−2i−2i0000000-22000000-220000000002i−2i0000000000000-2200000000−2i2i0000
χ392-22-2222-2-22-2-22-2−2i−2i2i2i200-2-2200-22-220000−2i2i00−2i−2i2i2i0000000-220000002-2000000000−2i2i00000000000002-200000000−2i2i0000
χ402-22-2222-2-22-2-22-2−2i−2i2i2i200-2-2200-22-220000−2i2i00−2i−2i2i2i0000000-22000000-22000000000−2i2i0000000000000-22000000002i−2i0000
χ412-22-222-22-22-2-22-22i2i−2i−2i22i−2i-2-22002-22-20000−2i2i002i2i−2i−2i02i−2i002i−2i2-2000000002-20000000−2i2i000002i−2i0000000002-200000000000
χ422-22-222-22-22-2-22-22i2i−2i−2i2−2i2i-2-22002-22-20000−2i2i002i2i−2i−2i0−2i2i00−2i2i2-200000000-220000000−2i2i00000−2i2i000000000-2200000000000
χ432-22-222-22-22-2-22-2−2i−2i2i2i22i−2i-2-22002-22-200002i−2i00−2i−2i2i2i02i−2i002i−2i2-200000000-2200000002i−2i000002i−2i000000000-2200000000000
χ442-22-222-22-22-2-22-2−2i−2i2i2i2−2i2i-2-22002-22-200002i−2i00−2i−2i2i2i0−2i2i00−2i2i2-2000000002-200000002i−2i00000−2i2i0000000002-200000000000
χ452-22-2-12-2212-2-2-112i2i−2i−2i-12i−2i11-10021-1-233−3−3−2i2i00−i−iii02i−2i−i3i3−ii-110033−3−3002-20000000i−i−i3−i3i3i30−ii−i3i30000000-113−3000000000
χ462-22-2-12-2212-2-2-112i2i−2i−2i-12i−2i11-10021-1-2−3−333−2i2i00−i−iii02i−2ii3−i3−ii-1100−3−333002-20000000i−ii3i3−i3−i30−iii3−i30000000-11−33000000000
χ472-22-2-12-2212-2-2-112i2i−2i−2i-1−2i2i11-10021-1-233−3−3−2i2i00−i−iii0−2i2ii3−i3i−i-110033−3−300-220000000i−i−i3−i3i3i30i−ii3−i300000001-1−33000000000
χ482-22-2-12-2212-2-2-112i2i−2i−2i-1−2i2i11-10021-1-2−3−333−2i2i00−i−iii0−2i2i−i3i3i−i-1100−3−33300-220000000i−ii3i3−i3−i30i−i−i3i300000001-13−3000000000
χ492-22-2-12-2212-2-2-11−2i−2i2i2i-12i−2i11-10021-1-233−3−32i−2i00ii−i−i02i−2i−i3i3−ii-110033−3−300-220000000−iii3i3−i3−i30−ii−i3i300000001-1−33000000000
χ502-22-2-12-2212-2-2-11−2i−2i2i2i-12i−2i11-10021-1-2−3−3332i−2i00ii−i−i02i−2ii3−i3−ii-1100−3−33300-220000000−ii−i3−i3i3i30−iii3−i300000001-13−3000000000
χ512-22-2-12-2212-2-2-11−2i−2i2i2i-1−2i2i11-10021-1-233−3−32i−2i00ii−i−i0−2i2ii3−i3i−i-110033−3−3002-20000000−iii3i3−i3−i30i−ii3−i30000000-113−3000000000
χ522-22-2-12-2212-2-2-11−2i−2i2i2i-1−2i2i11-10021-1-2−3−3332i−2i00ii−i−i0−2i2i−i3i3i−i-1100−3−333002-20000000−ii−i3−i3i3i30i−i−i3i30000000-11−33000000000
χ532-2-2222002-22-2-2-22-22-22002-2-22−200002−22−2002i−2i2-22-20000000002−22−22−200000−i2i22−22i−2i002−22−2000002i−2i000000000−i2i2000−i2i200
χ542-2-2222002-22-2-2-22-22-22002-2-22−200002−22−200−2i2i2-22-20000000002−22−22−200000i2−i22−2−2i2i002−22−200000−2i2i000000000i2−i2000i2−i200
χ552-2-2222002-22-2-2-22-22-22002-2-2−220000−22−22002i−2i2-22-2000000000−22−22−2200000i2−i2−222i−2i00−22−22000002i−2i000000000i2−i2000i2−i200
χ562-2-2222002-22-2-2-22-22-22002-2-2−220000−22−2200−2i2i2-22-2000000000−22−22−2200000−i2i2−22−2i2i00−22−2200000−2i2i000000000−i2i2000−i2i200
χ572-2-2222002-22-2-2-2-22-222002-2-22−200002−22−2002i−2i-22-220000000002−22−22−200000−i2i2−222i−2i00−22−2200000−2i2i000000000−i2i2000i2−i200
χ582-2-2222002-22-2-2-2-22-222002-2-22−200002−22−200−2i2i-22-220000000002−22−22−200000i2−i2−22−2i2i00−22−22000002i−2i000000000i2−i2000−i2i200
χ592-2-2222002-22-2-2-2-22-222002-2-2−220000−22−22002i−2i-22-22000000000−22−22−2200000i2−i22−22i−2i002−22−200000−2i2i000000000i2−i2000−i2i200
χ602-2-2222002-22-2-2-2-22-222002-2-2−220000−22−2200−2i2i-22-22000000000−22−22−2200000−i2i22−2−2i2i002−22−2000002i−2i000000000−i2i2000i2−i200
χ6144444-2-4-44-2-2-2440000-200-2-2-2002-4-420000004400000000000220000000000-40000-2-20000000000000000020000000000000
χ6244444-2-4-44-2-2-2440000-200-2-2-2002-4-42000000-4-400000000000220000000000400002200000000000000000-20000000000000
χ634444-24-4-4-2444-2-24444-200-2-2-200-422-40000-4-400-2-2-2-2000000022000000000000000002200000000000000000000000000000
χ644444-24-4-4-2444-2-2-4-4-4-4-200-2-2-200-422-400004400222200000002200000000000000000-2-200000000000000000000000000000
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
χ664444-2-244-2-2-2-2-2-20000144111-4-4-2-2-2-2222200000000-4-2-222-2-21122-1-1-1-100000000000000000211-1-100000000000000000000
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
χ684444-2-244-2-2-2-2-2-200001-4-4111-4-4-2-2-2-2222200000000422-2-2221122-1-1-1-100000000000000000-2-1-11100000000000000000000
χ6944-4-44400-4-4-44-444i−4i−4i4i400-44-4000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ7044-4-44400-4-4-44-44−4i4i4i−4i400-44-400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ7144-4-4-24002-4-442-24i−4i−4i4i-2002-220000006−6−660000−2i2i2i−2i000000000006−6−660000000000000−i6i6i6−i60000000000000000000000000
χ7244-4-4-24002-4-442-24i−4i−4i4i-2002-22000000−666−60000−2i2i2i−2i00000000000−666−60000000000000i6−i6−i6i60000000000000000000000000
χ7344-4-4-24002-4-442-2−4i4i4i−4i-2002-220000006−6−6600002i−2i−2i2i000000000006−6−660000000000000i6−i6−i6i60000000000000000000000000
χ7444-4-4-24002-4-442-2−4i4i4i−4i-2002-22000000−666−600002i−2i−2i2i00000000000−666−60000000000000−i6i6i6−i60000000000000000000000000
χ754-44-44-24-4-4-2224-40000-20022-20024-4-200000000000000000002-20000004-4000000000000000000000000-2200000000000000
χ764-44-44-24-4-4-2224-40000-20022-20024-4-200000000000000000002-2000000-440000000000000000000000002-200000000000000
χ774-44-44-2-44-4-2224-40000-24i−4i22-200-2-4420000000000000−2i2i004i−4i-22000000000000000000000000−2i2i0000000000000000000000
χ784-44-44-2-44-4-2224-40000-2−4i4i22-200-2-44200000000000002i−2i00−4i4i-220000000000000000000000002i−2i0000000000000000000000
χ794-44-4-244-424-4-4-224i4i−4i−4i-20022-200-4-22400004i−4i00−2i−2i2i2i00000002-200000000000000000−2i2i00000000000000000000000000000
χ804-44-4-244-424-4-4-22−4i−4i4i4i-20022-200-4-2240000−4i4i002i2i−2i−2i00000002-2000000000000000002i−2i00000000000000000000000000000
χ814-44-4-2-2-442-222-22000014i−4i-1-1100-22-222323−23−23000000000−2i2i−2i32i3−2i2i1-100−3−333000000000000000000i−ii3−i300000000000000000000
χ824-44-4-2-2-442-222-22000014i−4i-1-1100-22-22−23−232323000000000−2i2i2i3−2i3−2i2i1-10033−3−3000000000000000000i−i−i3i300000000000000000000
χ834-44-4-2-2-442-222-2200001−4i4i-1-1100-22-222323−23−230000000002i−2i2i3−2i32i−2i1-100−3−333000000000000000000−ii−i3i300000000000000000000
χ844-44-4-2-2-442-222-2200001−4i4i-1-1100-22-22−23−2323230000000002i−2i−2i32i32i−2i1-10033−3−3000000000000000000−iii3−i300000000000000000000
χ854-4-444-20042-22-4-40000-200-22222−22000022−2222−22004i−4i0000000000000−22−22−2200000−2i22i200−2i2i0000000000000000000000i2−i20000000
χ864-4-444-20042-22-4-40000-200-22222−22000022−2222−2200−4i4i0000000000000−22−22−22000002i2−2i2002i−2i0000000000000000000000−i2i20000000
χ874-4-444-20042-22-4-40000-200-222−22220000−2222−2222004i−4i00000000000002−22−22−2000002i2−2i200−2i2i0000000000000000000000−i2i20000000
χ884-4-444-20042-22-4-40000-200-222−22220000−2222−222200−4i4i00000000000002−22−22−200000−2i22i2002i−2i0000000000000000000000i2−i20000000
χ894-4-44-2400-2-44-4224-44-4-200-22222−220000−22−220000-22-2200000000022−22−22−22000000022−220000−22−220000000000000000000000000
χ904-4-44-2400-2-44-4224-44-4-200-222−222200002−22−20000-22-22000000000−22222−22−20000000−222200002−22−20000000000000000000000000
χ914-4-44-2400-2-44-422-44-44-200-22222−220000−22−2200002-22-200000000022−22−22−220000000−222200002−22−20000000000000000000000000
χ924-4-44-2400-2-44-422-44-44-200-222−222200002−22−200002-22-2000000000−22222−22−2000000022−220000−22−220000000000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400002002220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-88-400-844-4-880000-4004-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-400444-44-40000200-22-200000026−26−26260000000000000000000−666−6000000000000000000000000000000000000000000
χ9688-8-8-4-400444-44-40000200-22-2000000−262626−2600000000000000000006−6−66000000000000000000000000000000000000000000
χ978-88-8-4-48-84-444-440000200-2-22004-44-40000000000000000000-22000000000000000000000000000000000000000000000000
χ988-8-88-4-400-44-444400002002-2-242−420000−2222−222200000000000000000−22222−22−2000000000000000000000000000000000000000000
χ998-8-88-4-400-44-444400002002-2-2−4242000022−2222−220000000000000000022−22−22−22000000000000000000000000000000000000000000

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