Finite Group Databasebeta

← Group #11870433

Character table — Group #11870433

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order1222334466666644442236668812121212242424242244121212122666666121224242424242422444668888121224242424666664444661212121212242444488122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-111-1-111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-111-1-111-1-111111-1-1-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-1-1-1111111-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1-11-1-1-111-1-111-1-1-11111
χ5111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-11-1-1111111111111-1-1-1-1-111-1-1-1-11-1-1-1-1111-1-111-1-1
χ6111111111111111111-1-111111111111111-1-1111111-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-111
χ7111111111111111111-1-11111-1-11111-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-11-1-1111111-1-11-1-111-1-11-1-1-1-111
χ8111111111111111111-1-11111-1-11111-1-1-1-1-1-11111111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-11-111-1-1-11111-11111-1-1
χ911111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-111-1-111-1-1-1-1-1-111111-1-1-11111-1-1-1-111-1-1-1-1-11-1
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
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-11111-111-1-1-1-11-1111-1-111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1-11111-1-1-1-1-11111111-1-11-1
χ1311111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111-111-1-1-11
χ1411111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-11-1-1111-1
χ1511111111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-111-1-1-11-1-1111-1-1-1-1-111111-1
χ1611111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-111-111-1-11111-1-111111-1-11111-1-111-111-1-1111-1-1-1-1-11
χ17222222-2-2222222222200222200-2-2-2-2000022-2-222220000000-2-200000000-200220000-2-2000000000220000-2000000-2000000
χ18222222-2-2222222222200222200-2-2-2-20000-2-2-2-222220000000-2-200000000200-2-20000-2-2000000000-2-2000020000002000000
χ19222222-2-2222222-2-2-2-200222200-2-2-2-200002222-2-2-2-20000000-2-200000000-20022000022000000000-2-20000-20000002000000
χ20222222-2-2222222-2-2-2-200222200-2-2-2-20000-2-222-2-2-2-20000000-2-200000000200-2-20000220000000002200002000000-2000000
χ2122222-122-122-1-12000022-1-1-1-1222-12-122222200000022222-1-1-1-1-1-1-1-1-1-122200-1-10022000000-1-1-1-1-10002-1-1-10000-1-100000-10
χ2222222-122-122-1-12000022-1-1-1-1222-12-12222-2-200000022222-1-1-1-1-1-1-1-1-1-1-2-2-2001100-2-2000000-1-1-1-1-1000-21110000110000010
χ2322222-122-122-1-12000022-1-1-1-1-2-22-12-1-2-2-2-222000000-222-2-2-1-1-1-111111122200-1-100-2-20000001-1-111000-2-1-1-10000110000010
χ2422222-122-122-1-12000022-1-1-1-1-2-22-12-1-2-2-2-2-2-2000000-222-2-2-1-1-1-1111111-2-2-2001100220000001-1-11100021110000-1-100000-10
χ2522222-122-122-1-120000-2-2-1-1-1-1222-12-1222222000000-2-2-2-2-211-1-1-1-1-1-1-1-1-2-2200-1-1002200000011111000-211-10000-1-10000010
χ2622222-122-122-1-120000-2-2-1-1-1-1222-12-12222-2-2000000-2-2-2-2-211-1-1-1-1-1-1-1-122-2001100-2-2000000111110002-1-1100001100000-10
χ2722222-122-122-1-120000-2-2-1-1-1-1-2-22-12-1-2-2-2-2220000002-2-22211-1-1111111-2-2200-1-100-2-2000000-111-1-1000211-100001100000-10
χ2822222-122-122-1-120000-2-2-1-1-1-1-2-22-12-1-2-2-2-2-2-20000002-2-22211-1-111111122-200110022000000-111-1-1000-2-1-110000-1-10000010
χ292222-12222-1-122-1222222-1-1-1-122-12-12-1-1-1-10022-1-1-1-12-1-1-1-122-1-122-1-1-1-100022002200-1-1-1-1-1-12-1-1-1-10020000-1-1-1-1000000000
χ302222-12222-1-122-1222222-1-1-1-1-2-2-12-1211110022-1-1-1-1-2-1-11122-1-1-2-211110002200-2-200-1-11111-2-1-11100-20000-1-111000000000
χ312222-12222-1-122-12222-2-2-1-1-1-122-12-12-1-1-1-10022-1-1-1-1-21111-2-2-1-122-1-1-1-1000-2-2002200-1-1-1-1-1-1-2111100-200001111000000000
χ322222-12222-1-122-12222-2-2-1-1-1-1-2-2-12-1211110022-1-1-1-1211-1-1-2-2-1-1-2-21111000-2-200-2-200-1-11111211-1-1002000011-1-1000000000
χ332222-12222-1-122-1-2-2-2-222-1-1-1-122-12-12-1-1-1-100-2-211112-1-1-1-122-1-122-1-1-1-1000-2-200-2-2001111112-1-1-1-100-200001111000000000
χ342222-12222-1-122-1-2-2-2-222-1-1-1-1-2-2-12-12111100-2-21111-2-1-11122-1-1-2-21111000-2-200220011-1-1-1-1-2-1-111002000011-1-1000000000
χ352222-12222-1-122-1-2-2-2-2-2-2-1-1-1-122-12-12-1-1-1-100-2-21111-21111-2-2-1-122-1-1-1-10002200-2-200111111-211110020000-1-1-1-1000000000
χ362222-12222-1-122-1-2-2-2-2-2-2-1-1-1-1-2-2-12-12111100-2-21111211-1-1-2-2-1-1-2-211110002200220011-1-1-1-1211-1-100-20000-1-111000000000
χ3722-2-2222-2-22-22-2-22i2i−2i−2i002-2-2200-2-2220000002i−2i2i2i−2i−2i00000002-20000002-20000000002i−2i00000000000002-2000000002i−2i0000
χ3822-2-2222-2-22-22-2-22i2i−2i−2i002-2-2200-2-2220000002i−2i2i2i−2i−2i00000002-2000000-220000000002i−2i0000000000000-2200000000−2i2i0000
χ3922-2-2222-2-22-22-2-2−2i−2i2i2i002-2-2200-2-222000000−2i2i−2i−2i2i2i00000002-20000002-2000000000−2i2i00000000000002-200000000−2i2i0000
χ4022-2-2222-2-22-22-2-2−2i−2i2i2i002-2-2200-2-222000000−2i2i−2i−2i2i2i00000002-2000000-22000000000−2i2i0000000000000-22000000002i−2i0000
χ4122-2-222-22-22-22-2-22i2i−2i−2i2-22-2-220022-2-2000000−2i2i2i2i−2i−2i02-2002-2-220000000002i−2i000000−2i2i000002-20000000002i−2i00000000000
χ4222-2-222-22-22-22-2-22i2i−2i−2i-222-2-220022-2-2000000−2i2i2i2i−2i−2i0-2200-22-22000000000−2i2i000000−2i2i00000-22000000000−2i2i00000000000
χ4322-2-222-22-22-22-2-2−2i−2i2i2i2-22-2-220022-2-20000002i−2i−2i−2i2i2i02-2002-2-22000000000−2i2i0000002i−2i000002-2000000000−2i2i00000000000
χ4422-2-222-22-22-22-2-2−2i−2i2i2i-222-2-220022-2-20000002i−2i−2i−2i2i2i0-2200-22-220000000002i−2i0000002i−2i00000-220000000002i−2i00000000000
χ4522-2-2-12-22-2-112-212i2i−2i−2i2-2-111-100-121-2−i3−i3i3i300−2i2i−i−iii0-11−i3i32-21-100−i3−i3i3i30002i−2i000000i−i33−3−30-11−i3i30000000−ii3−3000000000
χ4622-2-2-12-22-2-112-212i2i−2i−2i2-2-111-100-121-2i3i3−i3−i300−2i2i−i−iii0-11i3−i32-21-100i3i3−i3−i30002i−2i000000i−i−3−3330-11i3−i30000000−ii−33000000000
χ4722-2-2-12-22-2-112-212i2i−2i−2i-22-111-100-121-2−i3−i3i3i300−2i2i−i−iii01-1i3−i3-221-100−i3−i3i3i3000−2i2i000000i−i33−3−301-1i3−i30000000i−i−33000000000
χ4822-2-2-12-22-2-112-212i2i−2i−2i-22-111-100-121-2i3i3−i3−i300−2i2i−i−iii01-1−i3i3-221-100i3i3−i3−i3000−2i2i000000i−i−3−33301-1−i3i30000000i−i3−3000000000
χ4922-2-2-12-22-2-112-21−2i−2i2i2i2-2-111-100-121-2−i3−i3i3i3002i−2iii−i−i0-11−i3i32-21-100−i3−i3i3i3000−2i2i000000−ii−3−3330-11−i3i30000000i−i−33000000000
χ5022-2-2-12-22-2-112-21−2i−2i2i2i2-2-111-100-121-2i3i3−i3−i3002i−2iii−i−i0-11i3−i32-21-100i3i3−i3−i3000−2i2i000000−ii33−3−30-11i3−i30000000i−i3−3000000000
χ5122-2-2-12-22-2-112-21−2i−2i2i2i-22-111-100-121-2−i3−i3i3i3002i−2iii−i−i01-1i3−i3-221-100−i3−i3i3i30002i−2i000000−ii−3−33301-1i3−i30000000−ii3−3000000000
χ5222-2-2-12-22-2-112-21−2i−2i2i2i-22-111-100-121-2i3i3−i3−i3002i−2iii−i−i01-1−i3i3-221-100i3i3−i3−i30002i−2i000000−ii33−3−301-1−i3i30000000−ii−33000000000
χ532-2-222200-2-2-2-2222-22-20022-2-22−200002−22−22-2002-22-20000000002−22−22−2000002-22−22−2002−22−2000002-20000000002−20002−200
χ542-2-222200-2-2-2-2222-22-20022-2-22−200002−22−2-22002-22-20000000002−22−22−200000-222−2−22002−22−200000-22000000000−22000−2200
χ552-2-222200-2-2-2-2222-22-20022-2-2−220000−22−222-2002-22-2000000000−22−22−22000002-2−22−2200−22−22000002-2000000000−22000−2200
χ562-2-222200-2-2-2-2222-22-20022-2-2−220000−22−22-22002-22-2000000000−22−22−2200000-22−222−200−22−2200000-220000000002−20002−200
χ572-2-222200-2-2-2-222-22-220022-2-22−200002−22−22-200-22-220000000002−22−22−2000002-2−222−200−22−2200000-220000000002−2000−2200
χ582-2-222200-2-2-2-222-22-220022-2-22−200002−22−2-2200-22-220000000002−22−22−200000-22−22−2200−22−22000002-2000000000−220002−200
χ592-2-222200-2-2-2-222-22-220022-2-2−220000−22−222-200-22-22000000000−22−22−22000002-22−2−22002−22−200000-22000000000−220002−200
χ602-2-222200-2-2-2-222-22-220022-2-2−220000−22−22-2200-22-22000000000−22−22−2200000-222−22−2002−22−2000002-20000000002−2000−2200
χ6144444-2-4-4-244-2-24000000-2-2-2-200-42-4200004400000000000002200000000-400-2-200000000000000000000020000000000000
χ6244444-2-4-4-244-2-24000000-2-2-2-200-42-420000-4-40000000000000220000000040022000000000000000000000-20000000000000
χ634444-24-4-44-2-244-2444400-2-2-2-2002-42-4000000-4-4-2-2-2-2000000022000000000000000002200000000000000000000000000000
χ644444-24-4-44-2-244-2-4-4-4-400-2-2-2-2002-42-400000044222200000002200000000000000000-2-200000000000000000000000000000
χ654444-2-244-2-2-2-2-2-2000044111144-2-2-2-2-2-2-2-2000000004-2-2-2-2-2-211-2-2111100000000000000000-2111100000000000000000000
χ664444-2-244-2-2-2-2-2-20000441111-4-4-2-2-2-2222200000000-4-2-222-2-21122-1-1-1-100000000000000000211-1-100000000000000000000
χ674444-2-244-2-2-2-2-2-20000-4-4111144-2-2-2-2-2-2-2-200000000-422222211-2-21111000000000000000002-1-1-1-100000000000000000000
χ684444-2-244-2-2-2-2-2-20000-4-41111-4-4-2-2-2-2222200000000422-2-2221122-1-1-1-100000000000000000-2-1-11100000000000000000000
χ6944-4-44-24-424-4-22-4000000-222-200-424-20000000000000000000-220000004-4000000000000000000000000-2200000000000000
χ7044-4-44-24-424-4-22-4000000-222-200-424-20000000000000000000-22000000-440000000000000000000000002-200000000000000
χ7144-4-44-2-4424-4-22-400004-4-222-2004-2-4200000000000004-400-222-2000000000000000000000000-220000000000000000000000
χ7244-4-44-2-4424-4-22-40000-44-222-2004-2-420000000000000-44002-22-20000000000000000000000002-20000000000000000000000
χ7344-4-4-244-4-4-224-424i4i−4i−4i00-222-2002-4-240000004i−4i−2i−2i2i2i0000000-2200000000000000000−2i2i00000000000000000000000000000
χ7444-4-4-244-4-4-224-42−4i−4i4i4i00-222-2002-4-24000000−4i4i2i2i−2i−2i0000000-22000000000000000002i−2i00000000000000000000000000000
χ7544-4-4-2-2-442-22-22200004-41-1-1100-2-222−2i3−2i32i32i3000000000-22−2i32i3-22-1100i3i3−i3−i30000000000000000001-1i3−i300000000000000000000
χ7644-4-4-2-2-442-22-22200004-41-1-1100-2-2222i32i3−2i3−2i3000000000-222i3−2i3-22-1100−i3−i3i3i30000000000000000001-1−i3i300000000000000000000
χ7744-4-4-2-2-442-22-2220000-441-1-1100-2-222−2i3−2i32i32i30000000002-22i3−2i32-2-1100i3i3−i3−i3000000000000000000-11−i3i300000000000000000000
χ7844-4-4-2-2-442-22-2220000-441-1-1100-2-2222i32i3−2i3−2i30000000002-2−2i32i32-2-1100−i3−i3i3i3000000000000000000-11i3−i300000000000000000000
χ794-44-444004-44-4-4-44i−4i−4i4i004-44-4000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ804-44-444004-44-4-4-4−4i4i4i−4i004-44-400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ814-44-4-240042-2-4-424i−4i−4i4i00-22-22000000i6−i6−i6i60000−2i2i2i−2i00000000000i6−i6−i6i60000000000000−666−60000000000000000000000000
χ824-44-4-240042-2-4-424i−4i−4i4i00-22-22000000−i6i6i6−i60000−2i2i2i−2i00000000000−i6i6i6−i600000000000006−6−660000000000000000000000000
χ834-44-4-240042-2-4-42−4i4i4i−4i00-22-22000000i6−i6−i6i600002i−2i−2i2i00000000000i6−i6−i6i600000000000006−6−660000000000000000000000000
χ844-44-4-240042-2-4-42−4i4i4i−4i00-22-22000000−i6i6i6−i600002i−2i−2i2i00000000000−i6i6i6−i60000000000000−666−60000000000000000000000000
χ854-4-444-2002-4-42-24000000-2-22222−22000022−2222−224-4000000000000000−22−22−2200000-220022−220000000000000000000000−220000000
χ864-4-444-2002-4-42-24000000-2-22222−22000022−2222−22-44000000000000000−22−22−22000002-200−222200000000000000000000002−20000000
χ874-4-444-2002-4-42-24000000-2-222−22220000−2222−22224-40000000000000002−22−22−200000-2200−222200000000000000000000002−20000000
χ884-4-444-2002-4-42-24000000-2-222−22220000−2222−2222-440000000000000002−22−22−2000002-20022−220000000000000000000000−220000000
χ894-4-44-2400-422-44-24-44-400-2-22222−220000−22−220000-22-2200000000022−22−22−22000000022−220000−22−220000000000000000000000000
χ904-4-44-2400-422-44-24-44-400-2-222−222200002−22−20000-22-22000000000−22222−22−20000000−222200002−22−20000000000000000000000000
χ914-4-44-2400-422-44-2-44-4400-2-22222−220000−22−2200002-22-200000000022−22−22−220000000−222200002−22−20000000000000000000000000
χ924-4-44-2400-422-44-2-44-4400-2-222−222200002−22−200002-22-2000000000−22222−22−2000000022−220000−22−220000000000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400000022220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-8-4-48-84-44-4440000002-2-220044-4-400000000000000000002-2000000000000000000000000000000000000000000000000
χ958-88-88-400-4-8844-8000000-44-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-400-44-44440000002-22-20000002i6−2i6−2i62i60000000000000000000−i6i6i6−i6000000000000000000000000000000000000000000
χ978-88-8-4-400-44-44440000002-22-2000000−2i62i62i6−2i60000000000000000000i6−i6−i6i6000000000000000000000000000000000000000000
χ988-8-88-4-4004444-4-400000022-2-242−420000−2222−222200000000000000000−22222−22−2000000000000000000000000000000000000000000
χ998-8-88-4-4004444-4-400000022-2-2−4242000022−2222−220000000000000000022−22−22−22000000000000000000000000000000000000000000

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