Finite Group Databasebeta

← Group #11870823

Character table — Group #11870823

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order12223344666666444434466688121212122424242422441212121241212121212121212242424242424444446688881212242424241212121212444412121212121212242444488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111111111111111111-1-111-1-1-111-1-111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-1-1-1111111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-111-1-111-1-1111-1-111-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-11-111-1-1-1-111-1-1-11111
χ51111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-11111111111111-1-1-1-1-111-1-11-1-1-1-1-1-1111-1-111-1-1
χ61111111111111111111-1-11111111111111-1-1111111-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-111-1-111
χ71111111111111111111-1-1111-1-11111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-11-1-11111111-1-111-1-1-1-11-1-1-1-111
χ81111111111111111111-1-1111-1-11111-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-11-1-1-1-1111111-11111-1-1
χ911111111111111-1-1-1-1111111111111111111-1-1-1-1-1-111111111111111111-1-1111-1-111-1-1-1-1-1-111111-1-1-111-1-1-1-11111-1-1-1-1-11-1
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
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111111-1-1-1-11111-111-1-1-1-11-11-1-11111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1-11111-1-1-111-1-111111-1-11-1
χ1311111111111111-1-1-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-111-1-1-11
χ1411111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-1-11-1-1111-1
χ1511111111111111-1-1-1-11-1-1111-1-11111-1-1-1-111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-111-1-1-11111-1-1-1-1-1-1-111111-1
χ1611111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111-1-1-11111-1-111111-1-11111-1-1-111-1-111111-1-1-1-1-11
χ17222222-2-2222222222220022200-2-2-2-2000022-2-222220000000-2-20000000000-2220000-2-20000000002200-200000000-2000000
χ18222222-2-2222222222220022200-2-2-2-20000-2-2-2-222220000000-2-200000000002-2-20000-2-2000000000-2-2002000000002000000
χ19222222-2-2222222-2-2-2-220022200-2-2-2-200002222-2-2-2-20000000-2-20000000000-222000022000000000-2-200-2000000002000000
χ20222222-2-2222222-2-2-2-220022200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000002-2-20000220000000002200200000000-2000000
χ2122222-122-12-122-10000-122-1-1-122-12-1222222200000022222-1-1-1-1-1-1-1-1-1-122002-1-10022000000-1-1-1-1-10002-10000-1-1-1-100000-10
χ2222222-122-12-122-10000-122-1-1-122-12-122222-2-200000022222-1-1-1-1-1-1-1-1-1-1-2-200-21100-2-2000000-1-1-1-1-1000-21000011110000010
χ2322222-122-12-122-10000-122-1-1-1-2-2-12-12-2-2-2-222000000-2-2-222-1-1-1-111111122002-1-100-2-20000001-1-111000-2-10000-1-1110000010
χ2422222-122-12-122-10000-122-1-1-1-2-2-12-12-2-2-2-2-2-2000000-2-2-222-1-1-1-1111111-2-200-21100220000001-1-11100021000011-1-100000-10
χ2522222-122-12-122-10000-1-2-2-1-1-122-12-12222222000000-2-2-2-2-211-1-1-1-1-1-1-1-1-2-2002-1-1002200000011111000-2-1000011-1-10000010
χ2622222-122-12-122-10000-1-2-2-1-1-122-12-122222-2-2000000-2-2-2-2-211-1-1-1-1-1-1-1-12200-21100-2-200000011111000210000-1-11100000-10
χ2722222-122-12-122-10000-1-2-2-1-1-1-2-2-12-12-2-2-2-222000000222-2-211-1-1111111-2-2002-1-100-2-2000000-111-1-10002-10000111100000-10
χ2822222-122-12-122-10000-1-2-2-1-1-1-2-2-12-12-2-2-2-2-2-2000000222-2-211-1-11111112200-2110022000000-111-1-1000-210000-1-1-1-10000010
χ292222-12222-12-1-122222-122-1-1-1222-12-1-1-1-1-10022-1-1-1-12-1-1-1-122-1-122-1-1-1-100220002200-1-1-1-1-1-12-1-1-1-100200-1-1-1-100000000000
χ302222-12222-12-1-122222-122-1-1-1-2-22-12-111110022-1-1-1-1-211-1-122-1-1-2-211110022000-2-200-1-11111-2-1-11100-200-1-11100000000000
χ312222-12222-12-1-122222-1-2-2-1-1-1222-12-1-1-1-1-10022-1-1-1-1-21111-2-2-1-122-1-1-1-100-2-20002200-1-1-1-1-1-1-2111100-200111100000000000
χ322222-12222-12-1-122222-1-2-2-1-1-1-2-22-12-111110022-1-1-1-12-1-111-2-2-1-1-2-2111100-2-2000-2-200-1-11111211-1-10020011-1-100000000000
χ332222-12222-12-1-12-2-2-2-2-122-1-1-1222-12-1-1-1-1-100-2-211112-1-1-1-122-1-122-1-1-1-100-2-2000-2-2001111112-1-1-1-100-200111100000000000
χ342222-12222-12-1-12-2-2-2-2-122-1-1-1-2-22-12-1111100-2-21111-211-1-122-1-1-2-2111100-2-2000220011-1-1-1-1-2-1-1110020011-1-100000000000
χ352222-12222-12-1-12-2-2-2-2-1-2-2-1-1-1222-12-1-1-1-1-100-2-21111-21111-2-2-1-122-1-1-1-10022000-2-200111111-2111100200-1-1-1-100000000000
χ362222-12222-12-1-12-2-2-2-2-1-2-2-1-1-1-2-22-12-1111100-2-211112-1-111-2-2-1-1-2-211110022000220011-1-1-1-1211-1-100-200-1-11100000000000
χ3722-2-2220022-2-2-2-222-2-22002-2-22−2000022−2−22-20022-2-20000000002−222−2−2000002-22−22−20022−2−2000002-20000000002−20002−200
χ3822-2-2220022-2-2-2-222-2-22002-2-22−2000022−2−2-220022-2-20000000002−222−2−200000-222−2−220022−2−200000-22000000000−22000−2200
χ3922-2-2220022-2-2-2-222-2-22002-2-2−220000−2−2222-20022-2-2000000000−22−2−222000002-2−22−2200−2−222000002-2000000000−22000−2200
χ4022-2-2220022-2-2-2-222-2-22002-2-2−220000−2−222-220022-2-2000000000−22−2−22200000-22−222−200−2−22200000-220000000002−20002−200
χ4122-2-2220022-2-2-2-2-2-2222002-2-22−2000022−2−22-200-2-2220000000002−222−2−2000002-2−222−200−2−22200000-220000000002−2000−2200
χ4222-2-2220022-2-2-2-2-2-2222002-2-22−2000022−2−2-2200-2-2220000000002−222−2−200000-22−22−2200−2−222000002-2000000000−220002−200
χ4322-2-2220022-2-2-2-2-2-2222002-2-2−220000−2−2222-200-2-222000000000−22−2−222000002-22−2−220022−2−200000-22000000000−220002−200
χ4422-2-2220022-2-2-2-2-2-2222002-2-2−220000−2−222-2200-2-222000000000−22−2−22200000-222−22−20022−2−2000002-20000000002−2000−2200
χ452-2-22222-2-2-222-2-22i−2i2i−2i22i−2i-2-2200-2-2220000002i−2i2i−2i2i−2i0002i−2i2i−2i2-2000000002-200000002i−2i000002i−2i00000002-20000000000000
χ462-2-22222-2-2-222-2-22i−2i2i−2i2−2i2i-2-2200-2-2220000002i−2i2i−2i2i−2i000−2i2i−2i2i2-200000000-2200000002i−2i00000−2i2i0000000-220000000000000
χ472-2-22222-2-2-222-2-2−2i2i−2i2i22i−2i-2-2200-2-222000000−2i2i−2i2i−2i2i0002i−2i2i−2i2-200000000-220000000−2i2i000002i−2i0000000-220000000000000
χ482-2-22222-2-2-222-2-2−2i2i−2i2i2−2i2i-2-2200-2-222000000−2i2i−2i2i−2i2i000−2i2i−2i2i2-2000000002-20000000−2i2i00000−2i2i00000002-20000000000000
χ492-2-2222-22-2-222-2-22i−2i2i−2i200-2-220022-2-2000000−2i2i2i−2i2i−2i0000000-220000002i−2i000000000−2i2i0000000000000000002i−2i0002-20000
χ502-2-2222-22-2-222-2-22i−2i2i−2i200-2-220022-2-2000000−2i2i2i−2i2i−2i0000000-22000000−2i2i000000000−2i2i000000000000000000−2i2i000-220000
χ512-2-2222-22-2-222-2-2−2i2i−2i2i200-2-220022-2-20000002i−2i−2i2i−2i2i0000000-220000002i−2i0000000002i−2i0000000000000000002i−2i000-220000
χ522-2-2222-22-2-222-2-2−2i2i−2i2i200-2-220022-2-20000002i−2i−2i2i−2i2i0000000-22000000−2i2i0000000002i−2i000000000000000000−2i2i0002-20000
χ532-2-22-122-2-212-11-22i−2i2i−2i-12i−2i11-100-212-13−33−3002i−2i−ii−ii0−i3i3−ii2i−2i-11003−33−3002-20000000−ii−i3i3−i3i30−ii−i3i300000-113−300000000000
χ542-2-22-122-2-212-11-22i−2i2i−2i-12i−2i11-100-212-1−33−33002i−2i−ii−ii0i3−i3−ii2i−2i-1100−33−33002-20000000−iii3−i3i3−i30−iii3−i300000-11−3300000000000
χ552-2-22-122-2-212-11-22i−2i2i−2i-1−2i2i11-100-212-13−33−3002i−2i−ii−ii0i3−i3i−i−2i2i-11003−33−300-220000000−ii−i3i3−i3i30i−ii3−i3000001-1−3300000000000
χ562-2-22-122-2-212-11-22i−2i2i−2i-1−2i2i11-100-212-1−33−33002i−2i−ii−ii0−i3i3i−i−2i2i-1100−33−3300-220000000−iii3−i3i3−i30i−i−i3i3000001-13−300000000000
χ572-2-22-122-2-212-11-2−2i2i−2i2i-12i−2i11-100-212-13−33−300−2i2ii−ii−i0−i3i3−ii2i−2i-11003−33−300-220000000i−ii3−i3i3−i30−ii−i3i3000001-1−3300000000000
χ582-2-22-122-2-212-11-2−2i2i−2i2i-12i−2i11-100-212-1−33−3300−2i2ii−ii−i0i3−i3−ii2i−2i-1100−33−3300-220000000i−i−i3i3−i3i30−iii3−i3000001-13−300000000000
χ592-2-22-122-2-212-11-2−2i2i−2i2i-1−2i2i11-100-212-13−33−300−2i2ii−ii−i0i3−i3i−i−2i2i-11003−33−3002-20000000i−ii3−i3i3−i30i−ii3−i300000-113−300000000000
χ602-2-22-122-2-212-11-2−2i2i−2i2i-1−2i2i11-100-212-1−33−3300−2i2ii−ii−i0−i3i3i−i−2i2i-1100−33−33002-20000000i−i−i3i3−i3i30i−i−i3i300000-11−3300000000000
χ6144444-2-4-4-24-244-20000-200-2-2-2002-42-40000440000000000000220000000000-4-2-200000000000000000002000000000000000
χ6244444-2-4-4-24-244-20000-200-2-2-2002-42-40000-4-400000000000002200000000004220000000000000000000-2000000000000000
χ634444-24-4-44-24-2-244444-200-2-2-200-42-42000000-4-4-2-2-2-2000000022000000000000000002200000000000000000000000000000
χ644444-24-4-44-24-2-24-4-4-4-4-200-2-2-200-42-4200000044222200000002200000000000000000-2-200000000000000000000000000000
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
χ664444-2-244-2-2-2-2-2-20000144111-4-4-2-2-2-2222200000000-422-2-2-2-21122-1-1-1-100000000000000000211-1-100000000000000000000
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
χ684444-2-244-2-2-2-2-2-200001-4-4111-4-4-2-2-2-22222000000004-2-222221122-1-1-1-100000000000000000-2-1-11100000000000000000000
χ6944-4-44-200-242-4-420000-200-22222−2200002222−22−224-4000000000000000−22−2−22200000-220022−220000000000000000000000−220000000
χ7044-4-44-200-242-4-420000-200-22222−2200002222−22−22-44000000000000000−22−2−222000002-200−222200000000000000000000002−20000000
χ7144-4-44-200-242-4-420000-200-222−22220000−22−2222224-40000000000000002−222−2−200000-2200−222200000000000000000000002−20000000
χ7244-4-44-200-242-4-420000-200-222−22220000−22−222222-440000000000000002−222−2−2000002-20022−220000000000000000000000−220000000
χ7344-4-4-24004-2-422-444-4-4-200-22222−220000−2−2220000-2-22200000000022−22−2−222000000022−220000−2−2220000000000000000000000000
χ7444-4-4-24004-2-422-444-4-4-200-222−2222000022−2−20000-2-222000000000−222222−2−20000000−2222000022−2−20000000000000000000000000
χ7544-4-4-24004-2-422-4-4-444-200-22222−220000−2−222000022-2-200000000022−22−2−2220000000−2222000022−2−20000000000000000000000000
χ7644-4-4-24004-2-422-4-4-444-200-222−2222000022−2−2000022-2-2000000000−222222−2−2000000022−220000−2−2220000000000000000000000000
χ774-44-44400-4-4-4-4444i−4i−4i4i400-44-4000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ784-44-44400-4-4-4-444−4i4i4i−4i400-44-400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ794-44-4-2400-42-42-244i−4i−4i4i-2002-220000006−6−660000−2i2i2i−2i000000000006−6−660000000000000−i6i6i6−i60000000000000000000000000
χ804-44-4-2400-42-42-244i−4i−4i4i-2002-22000000−666−60000−2i2i2i−2i00000000000−666−60000000000000i6−i6−i6i60000000000000000000000000
χ814-44-4-2400-42-42-24−4i4i4i−4i-2002-220000006−6−6600002i−2i−2i2i000000000006−6−660000000000000i6−i6−i6i60000000000000000000000000
χ824-44-4-2400-42-42-24−4i4i4i−4i-2002-22000000−666−600002i−2i−2i2i00000000000−666−60000000000000−i6i6i6−i60000000000000000000000000
χ834-4-444-24-42-4-24-420000-24i−4i22-2002-4-240000000000000004i−4i−2i2i-22000000000000000000000000−2i2i0000000000000000000000
χ844-4-444-24-42-4-24-420000-2−4i4i22-2002-4-24000000000000000−4i4i2i−2i-220000000000000000000000002i−2i0000000000000000000000
χ854-4-444-2-442-4-24-420000-20022-200-242-400000000000000000002-20000004i−4i00000000000000000000000000000−2i2i000000000
χ864-4-444-2-442-4-24-420000-20022-200-242-400000000000000000002-2000000−4i4i000000000000000000000000000002i−2i000000000
χ874-4-44-24-44-424-22-44i−4i4i−4i-20022-2004-2-42000000−4i4i−2i2i−2i2i00000002-2000000000000000002i−2i00000000000000000000000000000
χ884-4-44-24-44-424-22-4−4i4i−4i4i-20022-2004-2-420000004i−4i2i−2i2i−2i00000002-200000000000000000−2i2i00000000000000000000000000000
χ894-4-44-2-24-422-2-222000014i−4i-1-110022-2-223−2323−23000000000−2i32i3−2i2i−2i2i1-100−33−33000000000000000000i−ii3−i300000000000000000000
χ904-4-44-2-24-422-2-222000014i−4i-1-110022-2-2−2323−23230000000002i3−2i3−2i2i−2i2i1-1003−33−3000000000000000000i−i−i3i300000000000000000000
χ914-4-44-2-24-422-2-22200001−4i4i-1-110022-2-223−2323−230000000002i3−2i32i−2i2i−2i1-100−33−33000000000000000000−ii−i3i300000000000000000000
χ924-4-44-2-24-422-2-22200001−4i4i-1-110022-2-2−2323−2323000000000−2i32i32i−2i2i−2i1-1003−33−3000000000000000000−iii3−i300000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400002002220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-8-4-400-4-4444400002002-2-242−420000−22−22222200000000000000000−222222−2−2000000000000000000000000000000000000000000
χ9588-8-8-4-400-4-4444400002002-2-2−424200002222−22−220000000000000000022−22−2−222000000000000000000000000000000000000000000
χ968-88-88-4004-84-88-40000-4004-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4004444-4-40000200-22-200000026−26−26260000000000000000000−666−6000000000000000000000000000000000000000000
χ988-88-8-4-4004444-4-40000200-22-2000000−262626−2600000000000000000006−6−66000000000000000000000000000000000000000000
χ998-8-88-4-4-8844-4-4440000200-2-2200-4-4440000000000000000000-22000000000000000000000000000000000000000000000000

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