Finite Group Databasebeta

← Group #11870880

Character table — Group #11870880

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order1222334466666644442236668812121212242424242244121212122666666121224242424242422444668888121224242424666664444661212121212242444488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-111-1-111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-111-1-11111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-111-1-111-1-111111-1-1-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-1-1-1111111-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-11-1-1-1-111-1-111-1-1-11111
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
χ6111111111111111111-1-111111111111111-1-1111111-1-1-1-1-1-1-11111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-111-1-111
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
χ8111111111111111111-1-11111-1-11111-1-1-1-1-1-11111111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-1-1111-1-1-11111-11111-1-1
χ911111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-111-1-111-1-1-1-1-1-111111-1-11-1111-1-1-1-111-1-1-1-1-11-1
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
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111-1-11111-1-1-1-11111-111-1-1-1-1-11111-1-111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1-11111-1-1-1-1-11111111-1-11-1
χ1311111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-111-1-1-11
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
χ1511111111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-111-1-11-1-1-1111-1-1-1-1-111111-1
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
χ2122222-122-122-1-12000022-1-1-1-1222-12-122222200000022222-1-1-1-1-1-1-1-1-1-122200-1-10022000000-1-1-1-1-10020-1-1-10000-1-100000-10
χ2222222-122-122-1-12000022-1-1-1-1222-12-12222-2-200000022222-1-1-1-1-1-1-1-1-1-1-2-2-2001100-2-2000000-1-1-1-1-100-201110000110000010
χ2322222-122-122-1-12000022-1-1-1-1-2-22-12-1-2-2-2-222000000-222-2-2-1-1-1-111111122200-1-100-2-20000001-1-11100-20-1-1-10000110000010
χ2422222-122-122-1-12000022-1-1-1-1-2-22-12-1-2-2-2-2-2-2000000-222-2-2-1-1-1-1111111-2-2-2001100220000001-1-11100201110000-1-100000-10
χ2522222-122-122-1-120000-2-2-1-1-1-1222-12-1222222000000-2-2-2-2-211-1-1-1-1-1-1-1-1-2-2200-1-100220000001111100-2011-10000-1-10000010
χ2622222-122-122-1-120000-2-2-1-1-1-1222-12-12222-2-2000000-2-2-2-2-211-1-1-1-1-1-1-1-122-2001100-2-2000000111110020-1-1100001100000-10
χ2722222-122-122-1-120000-2-2-1-1-1-1-2-22-12-1-2-2-2-2220000002-2-22211-1-1111111-2-2200-1-100-2-2000000-111-1-1002011-100001100000-10
χ2822222-122-122-1-120000-2-2-1-1-1-1-2-22-12-1-2-2-2-2-2-20000002-2-22211-1-111111122-200110022000000-111-1-100-20-1-110000-1-10000010
χ292222-12222-1-122-1222222-1-1-1-122-12-12-1-1-1-10022-1-1-1-12-1-1-1-122-1-122-1-1-1-100022002200-1-1-1-1-1-12-1-1-1-10002000-1-1-1-1000000000
χ302222-12222-1-122-1222222-1-1-1-1-2-2-12-1211110022-1-1-1-1-2-1-11122-1-1-2-211110002200-2-200-1-11111-2-1-111000-2000-1-111000000000
χ312222-12222-1-122-12222-2-2-1-1-1-122-12-12-1-1-1-10022-1-1-1-1-21111-2-2-1-122-1-1-1-1000-2-2002200-1-1-1-1-1-1-21111000-20001111000000000
χ322222-12222-1-122-12222-2-2-1-1-1-1-2-2-12-1211110022-1-1-1-1211-1-1-2-2-1-1-2-21111000-2-200-2-200-1-11111211-1-1000200011-1-1000000000
χ332222-12222-1-122-1-2-2-2-222-1-1-1-122-12-12-1-1-1-100-2-211112-1-1-1-122-1-122-1-1-1-1000-2-200-2-2001111112-1-1-1-1000-20001111000000000
χ342222-12222-1-122-1-2-2-2-222-1-1-1-1-2-2-12-12111100-2-21111-2-1-11122-1-1-2-21111000-2-200220011-1-1-1-1-2-1-111000200011-1-1000000000
χ352222-12222-1-122-1-2-2-2-2-2-2-1-1-1-122-12-12-1-1-1-100-2-21111-21111-2-2-1-122-1-1-1-10002200-2-200111111-211110002000-1-1-1-1000000000
χ362222-12222-1-122-1-2-2-2-2-2-2-1-1-1-1-2-2-12-12111100-2-21111211-1-1-2-2-1-1-2-211110002200220011-1-1-1-1211-1-1000-2000-1-111000000000
χ3722-2-22200-2-22-22-22i2i−2i−2i0022-2-22−2000022−2−22-2002i2i−2i−2i0000000002−222−2−2000002-2−i2i22−200−i2−i2i2i2000002i−2i0000000002−2000−i2i200
χ3822-2-22200-2-22-22-22i2i−2i−2i0022-2-22−2000022−2−2-22002i2i−2i−2i0000000002−222−2−200000-22−i2i2−2200−i2−i2i2i200000−2i2i000000000−22000i2−i200
χ3922-2-22200-2-22-22-22i2i−2i−2i0022-2-2−220000−2−2222-2002i2i−2i−2i000000000−22−2−222000002-2i2−i2−2200i2i2−i2−i2000002i−2i000000000−22000i2−i200
χ4022-2-22200-2-22-22-22i2i−2i−2i0022-2-2−220000−2−222-22002i2i−2i−2i000000000−22−2−22200000-22i2−i22−200i2i2−i2−i200000−2i2i0000000002−2000−i2i200
χ4122-2-22200-2-22-22-2−2i−2i2i2i0022-2-22−2000022−2−22-200−2i−2i2i2i0000000002−222−2−2000002-2i2−i22−200i2i2−i2−i200000−2i2i0000000002−2000i2−i200
χ4222-2-22200-2-22-22-2−2i−2i2i2i0022-2-22−2000022−2−2-2200−2i−2i2i2i0000000002−222−2−200000-22i2−i2−2200i2i2−i2−i2000002i−2i000000000−22000−i2i200
χ4322-2-22200-2-22-22-2−2i−2i2i2i0022-2-2−220000−2−2222-200−2i−2i2i2i000000000−22−2−222000002-2−i2i2−2200−i2−i2i2i200000−2i2i000000000−22000−i2i200
χ4422-2-22200-2-22-22-2−2i−2i2i2i0022-2-2−220000−2−222-2200−2i−2i2i2i000000000−22−2−22200000-22−i2i22−200−i2−i2i2i2000002i−2i0000000002−2000i2−i200
χ452-22-2222-2-22-22-2-22i−2i2i−2i002-2-2200-2-2220000002i−2i2i−2i2i−2i00000002-20000002-20000000002i−2i00000000000002-2000000002i−2i0000
χ462-22-2222-2-22-22-2-22i−2i2i−2i002-2-2200-2-2220000002i−2i2i−2i2i−2i00000002-2000000-220000000002i−2i0000000000000-2200000000−2i2i0000
χ472-22-2222-2-22-22-2-2−2i2i−2i2i002-2-2200-2-222000000−2i2i−2i2i−2i2i00000002-20000002-2000000000−2i2i00000000000002-200000000−2i2i0000
χ482-22-2222-2-22-22-2-2−2i2i−2i2i002-2-2200-2-222000000−2i2i−2i2i−2i2i00000002-2000000-22000000000−2i2i0000000000000-22000000002i−2i0000
χ492-22-222-22-22-22-2-22i−2i2i−2i2-22-2-220022-2-2000000−2i2i2i−2i2i−2i02-2002-2-220000000002i−2i000000−2i2i000002-20000000002i−2i00000000000
χ502-22-222-22-22-22-2-22i−2i2i−2i-222-2-220022-2-2000000−2i2i2i−2i2i−2i0-2200-22-22000000000−2i2i000000−2i2i00000-22000000000−2i2i00000000000
χ512-22-222-22-22-22-2-2−2i2i−2i2i2-22-2-220022-2-20000002i−2i−2i2i−2i2i02-2002-2-22000000000−2i2i0000002i−2i000002-2000000000−2i2i00000000000
χ522-22-222-22-22-22-2-2−2i2i−2i2i-222-2-220022-2-20000002i−2i−2i2i−2i2i0-2200-22-220000000002i−2i0000002i−2i00000-220000000002i−2i00000000000
χ532-22-2-12-22-2-112-212i−2i2i−2i2-2-111-100-121-2−i3i3−i3i300−2i2i−ii−ii0-11−i3i32-21-100−i3i3−i3i30002i−2i000000i−i3−33−30-11−i3i30000000−ii3−3000000000
χ542-22-2-12-22-2-112-212i−2i2i−2i2-2-111-100-121-2i3−i3i3−i300−2i2i−ii−ii0-11i3−i32-21-100i3−i3i3−i30002i−2i000000i−i−33−330-11i3−i30000000−ii−33000000000
χ552-22-2-12-22-2-112-212i−2i2i−2i-22-111-100-121-2−i3i3−i3i300−2i2i−ii−ii01-1i3−i3-221-100−i3i3−i3i3000−2i2i000000i−i3−33−301-1i3−i30000000i−i−33000000000
χ562-22-2-12-22-2-112-212i−2i2i−2i-22-111-100-121-2i3−i3i3−i300−2i2i−ii−ii01-1−i3i3-221-100i3−i3i3−i3000−2i2i000000i−i−33−3301-1−i3i30000000i−i3−3000000000
χ572-22-2-12-22-2-112-21−2i2i−2i2i2-2-111-100-121-2−i3i3−i3i3002i−2ii−ii−i0-11−i3i32-21-100−i3i3−i3i3000−2i2i000000−ii−33−330-11−i3i30000000i−i−33000000000
χ582-22-2-12-22-2-112-21−2i2i−2i2i2-2-111-100-121-2i3−i3i3−i3002i−2ii−ii−i0-11i3−i32-21-100i3−i3i3−i3000−2i2i000000−ii3−33−30-11i3−i30000000i−i3−3000000000
χ592-22-2-12-22-2-112-21−2i2i−2i2i-22-111-100-121-2−i3i3−i3i3002i−2ii−ii−i01-1i3−i3-221-100−i3i3−i3i30002i−2i000000−ii−33−3301-1i3−i30000000−ii3−3000000000
χ602-22-2-12-22-2-112-21−2i2i−2i2i-22-111-100-121-2i3−i3i3−i3002i−2ii−ii−i01-1−i3i3-221-100i3−i3i3−i30002i−2i000000−ii3−33−301-1−i3i30000000−ii−33000000000
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
χ6944-4-44-2002-442-2-4000000-2-22222−2200002222−22−224-4000000000000000−22−2−22200000-220022−220000000000000000000000−220000000
χ7044-4-44-2002-442-2-4000000-2-22222−2200002222−22−22-44000000000000000−22−2−222000002-200−222200000000000000000000002−20000000
χ7144-4-44-2002-442-2-4000000-2-222−22220000−22−2222224-40000000000000002−222−2−200000-2200−222200000000000000000000002−20000000
χ7244-4-44-2002-442-2-4000000-2-222−22220000−22−222222-440000000000000002−222−2−2000002-20022−220000000000000000000000−220000000
χ7344-4-4-2400-42-2-4424i4i−4i−4i00-2-22222−220000−2−2220000−2i−2i2i2i00000000022−22−2−2220000000−2i22i20000i2i2−i2−i20000000000000000000000000
χ7444-4-4-2400-42-2-4424i4i−4i−4i00-2-222−2222000022−2−20000−2i−2i2i2i000000000−222222−2−200000002i2−2i20000−i2−i2i2i20000000000000000000000000
χ7544-4-4-2400-42-2-442−4i−4i4i4i00-2-22222−220000−2−22200002i2i−2i−2i00000000022−22−2−22200000002i2−2i20000−i2−i2i2i20000000000000000000000000
χ7644-4-4-2400-42-2-442−4i−4i4i4i00-2-222−2222000022−2−200002i2i−2i−2i000000000−222222−2−20000000−2i22i20000i2i2−i2−i20000000000000000000000000
χ774-44-44-24-424-4-22-4000000-222-200-424-20000000000000000000-220000004-4000000000000000000000000-2200000000000000
χ784-44-44-24-424-4-22-4000000-222-200-424-20000000000000000000-22000000-440000000000000000000000002-200000000000000
χ794-44-44-2-4424-4-22-400004-4-222-2004-2-4200000000000004-400-222-2000000000000000000000000-220000000000000000000000
χ804-44-44-2-4424-4-22-40000-44-222-2004-2-420000000000000-44002-22-20000000000000000000000002-20000000000000000000000
χ814-44-4-244-4-4-224-424i−4i4i−4i00-222-2002-4-240000004i−4i−2i2i−2i2i0000000-2200000000000000000−2i2i00000000000000000000000000000
χ824-44-4-244-4-4-224-42−4i4i−4i4i00-222-2002-4-24000000−4i4i2i−2i2i−2i0000000-22000000000000000002i−2i00000000000000000000000000000
χ834-44-4-2-2-442-22-22200004-41-1-1100-2-222−2i32i3−2i32i3000000000-22−2i32i3-22-1100i3−i3i3−i30000000000000000001-1i3−i300000000000000000000
χ844-44-4-2-2-442-22-22200004-41-1-1100-2-2222i3−2i32i3−2i3000000000-222i3−2i3-22-1100−i3i3−i3i30000000000000000001-1−i3i300000000000000000000
χ854-44-4-2-2-442-22-2220000-441-1-1100-2-222−2i32i3−2i32i30000000002-22i3−2i32-2-1100i3−i3i3−i3000000000000000000-11−i3i300000000000000000000
χ864-44-4-2-2-442-22-2220000-441-1-1100-2-2222i3−2i32i3−2i30000000002-2−2i32i32-2-1100−i3i3−i3i3000000000000000000-11i3−i300000000000000000000
χ874-4-4444004-4-4-4-444-4-44004-44-4000000000000004-4-44000000000000000000000000000000000000000000000000000000000
χ884-4-4444004-4-4-4-44-444-4004-44-400000000000000-444-4000000000000000000000000000000000000000000000000000000000
χ894-4-44-2400422-4-4-24-4-4400-22-22000000i6−i6−i6i60000-222-200000000000i6−i6−i6i60000000000000−i6i6i6−i60000000000000000000000000
χ904-4-44-2400422-4-4-24-4-4400-22-22000000−i6i6i6−i60000-222-200000000000−i6i6i6−i60000000000000i6−i6−i6i60000000000000000000000000
χ914-4-44-2400422-4-4-2-444-400-22-22000000i6−i6−i6i600002-2-2200000000000i6−i6−i6i60000000000000i6−i6−i6i60000000000000000000000000
χ924-4-44-2400422-4-4-2-444-400-22-22000000−i6i6i6−i600002-2-2200000000000−i6i6i6−i60000000000000−i6i6i6−i60000000000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400000022220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-8-4-40044-44-4400000022-2-242−420000−22−22222200000000000000000−222222−2−2000000000000000000000000000000000000000000
χ9588-8-8-4-40044-44-4400000022-2-2−424200002222−22−220000000000000000022−22−2−222000000000000000000000000000000000000000000
χ968-88-8-4-48-84-44-4440000002-2-220044-4-400000000000000000002-2000000000000000000000000000000000000000000000000
χ978-8-888-400-4-8-8448000000-44-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-400-44444-40000002-22-20000002i6−2i6−2i62i60000000000000000000−i6i6i6−i6000000000000000000000000000000000000000000
χ998-8-88-4-400-44444-40000002-22-2000000−2i62i62i6−2i60000000000000000000i6−i6−i6i6000000000000000000000000000000000000000000

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