Finite Group Databasebeta

← Group #11865770

Character table — Group #11865770

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order122233446666664444223666881212121224242424224412121212266666612122424242424244444466888812122424242466666444412121212121212242444488122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111111111111111111-1-111-11111-1-1-1-1111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-111-1-111-1-111111-1-1-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-111-1-11111-11111-1-111-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-1-111-1-1-1-1-11-1-1-111-1-111-1-1-11111
χ5111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-11111111111111-1-1-1-1-111-1-11-1-1-1-1-1-1111-1-111-1-1
χ6111111111111111111-1-11111111111111111-1-11111-1-1-1-1-1-1-11111111111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-111-1-111
χ7111111111111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-11-1-11111111-1-1-1-111-1-11-1-1-1-111
χ8111111111111111111-1-11111-1-11111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-11-1-111-1-11-1-111-1-11111-11111-1-1
χ911111111111111-1-1-1-11111111111111111-1-111-1-1-1-111111111111111111-1-11-1-1-1-11111-1-1-1-111111-1-1-11111-1-1-1-111-1-1-1-1-11-1
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
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-11-1-111-1-1111111-111-1-1-1-11-1111-1-111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1-11111-1-1-1-1-11111111-1-11-1
χ1311111111111111-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111-111-1-1-11
χ1411111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-1-11-1-1111-1
χ1511111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111-1-111-1-11111111-1-111-1-1-111-1-111-1-1-1-1-111111-1
χ1611111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-1-11111-1-111111-1-11111-1-1-11111-1-1111-1-1-1-1-11
χ17222222-2-2222222222200222200-2-2-2-20000-2-22222220000000-2-20000000000-2-2-20000220000000002200-200000000-2000000
χ18222222-2-2222222222200222200-2-2-2-20000-2-2-2-222220000000-2-200000000002-2-20000-2-2000000000-2-2002000000002000000
χ19222222-2-2222222-2-2-2-200222200-2-2-2-200002222-2-2-2-20000000-2-20000000000-222000022000000000-2-200-2000000002000000
χ20222222-2-2222222-2-2-2-200222200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000002220000-2-20000000002200200000000-2000000
χ2122222-122-1-1222-1222222-1-1-1-1222-12-1-1-1-1-12200-1-1-1-1222-1-1-1-1-1-122-1-1-1-100220-1-1220000-1-1-1-12-1-1-1-10020000-1-1-1-1000000000
χ2222222-122-1-1222-1222222-1-1-1-1-2-22-12-111112200-1-1-1-1-222-1-111-1-1-2-2111100220-1-1-2-200001111-2-1-11100-20000-1-111000000000
χ2322222-122-1-1222-12222-2-2-1-1-1-1222-12-1-1-1-1-12200-1-1-1-1-2-2-21111-1-122-1-1-1-100-2-20-1-1220000-1-1-1-1-2111100-200001111000000000
χ2422222-122-1-1222-12222-2-2-1-1-1-1-2-22-12-111112200-1-1-1-12-2-211-1-1-1-1-2-2111100-2-20-1-1-2-200001111211-1-1002000011-1-1000000000
χ2522222-122-1-1222-1-2-2-2-222-1-1-1-1222-12-1-1-1-1-1-2-2001111222-1-1-1-1-1-122-1-1-1-100-2-2011-2-2000011112-1-1-1-100-200001111000000000
χ2622222-122-1-1222-1-2-2-2-222-1-1-1-1-2-22-12-11111-2-2001111-222-1-111-1-1-2-2111100-2-2011220000-1-1-1-1-2-1-111002000011-1-1000000000
χ2722222-122-1-1222-1-2-2-2-2-2-2-1-1-1-1222-12-1-1-1-1-1-2-2001111-2-2-21111-1-122-1-1-1-10022011-2-200001111-211110020000-1-1-1-1000000000
χ2822222-122-1-1222-1-2-2-2-2-2-2-1-1-1-1-2-22-12-11111-2-20011112-2-211-1-1-1-1-2-211110022011220000-1-1-1-1211-1-100-20000-1-111000000000
χ292222-122222-1-1-12000022-1-1-1-122-12-122222002200002-1-12222-1-1-1-1-1-1-1-122002000022-1-10000-1-1-1-1-10002-1-1-10000-1-100000-10
χ302222-122222-1-1-12000022-1-1-1-122-12-12222200-2-200002-1-12222-1-1-1-1-1-1-1-1-2-200-20000-2-2110000-1-1-1-1-1000-21110000110000010
χ312222-122222-1-1-12000022-1-1-1-1-2-2-12-12-2-2-2-200220000-2-1-122-2-2-1-1111111220020000-2-2-1-100001-1-111000-2-1-1-10000110000010
χ322222-122222-1-1-12000022-1-1-1-1-2-2-12-12-2-2-2-200-2-20000-2-1-122-2-2-1-1111111-2-200-20000221100001-1-11100021110000-1-100000-10
χ332222-122222-1-1-120000-2-2-1-1-1-122-12-12222200220000-211-2-2-2-2-1-1-1-1-1-1-1-1-2-2002000022-1-1000011111000-2-1110000-1-10000010
χ342222-122222-1-1-120000-2-2-1-1-1-122-12-12222200-2-20000-211-2-2-2-2-1-1-1-1-1-1-1-12200-20000-2-21100001111100021-1-100001100000-10
χ352222-122222-1-1-120000-2-2-1-1-1-1-2-2-12-12-2-2-2-200220000211-2-222-1-1111111-2-20020000-2-2-1-10000-111-1-10002-11100001100000-10
χ362222-122222-1-1-120000-2-2-1-1-1-1-2-2-12-12-2-2-2-200-2-20000211-2-222-1-11111112200-2000022110000-111-1-1000-21-1-10000-1-10000010
χ372-22-2222-2-2-2-22-2222-2-2002-2-220022-2-200002-20022-2-200000002-20000002i−2i0002-2000000000000000000002i−2i00000002i−2i0000
χ382-22-2222-2-2-2-22-2222-2-2002-2-220022-2-200002-20022-2-200000002-2000000−2i2i0002-200000000000000000000−2i2i0000000−2i2i0000
χ392-22-2222-2-2-2-22-22-2-222002-2-220022-2-20000-2200-2-22200000002-20000002i−2i000-22000000000000000000002i−2i0000000−2i2i0000
χ402-22-2222-2-2-2-22-22-2-222002-2-220022-2-20000-2200-2-22200000002-2000000−2i2i000-2200000000000000000000−2i2i00000002i−2i0000
χ412-22-222-22-2-2-22-2222-2-22-22-2-2200-2-2220000-220022-2-202-22-200-22000000002-20-22000000000002-20000000002-200000000000
χ422-22-222-22-2-2-22-2222-2-2-222-2-2200-2-2220000-220022-2-20-22-2200-2200000000-220-2200000000000-22000000000-2200000000000
χ432-22-222-22-2-2-22-22-2-2222-22-2-2200-2-22200002-200-2-22202-22-200-2200000000-2202-2000000000002-2000000000-2200000000000
χ442-22-222-22-2-2-22-22-2-222-222-2-2200-2-22200002-200-2-2220-22-2200-22000000002-202-200000000000-220000000002-200000000000
χ452-22-22-1-2211-22-2-122-2-22-2-111-100-212-1−i3−i3i3i3-2200-1-11102-2-11−i3i31-100−i3−i3i3i3002-201-1000000−i3−i3i3i30-11−i3i30000000-11−i3i3000000000
χ462-22-22-1-2211-22-2-122-2-22-2-111-100-212-1i3i3−i3−i3-2200-1-11102-2-11i3−i31-100i3i3−i3−i3002-201-1000000i3i3−i3−i30-11i3−i30000000-11i3−i3000000000
χ472-22-22-1-2211-22-2-122-2-2-22-111-100-212-1−i3−i3i3i3-2200-1-1110-221-1i3−i31-100−i3−i3i3i300-2201-1000000−i3−i3i3i301-1i3−i300000001-1i3−i3000000000
χ482-22-22-1-2211-22-2-122-2-2-22-111-100-212-1i3i3−i3−i3-2200-1-1110-221-1−i3i31-100i3i3−i3−i300-2201-1000000i3i3−i3−i301-1−i3i300000001-1−i3i3000000000
χ492-22-22-1-2211-22-2-1-2-2222-2-111-100-212-1−i3−i3i3i32-20011-1-102-2-11−i3i31-100−i3−i3i3i300-220-11000000i3i3−i3−i30-11−i3i300000001-1i3−i3000000000
χ502-22-22-1-2211-22-2-1-2-2222-2-111-100-212-1i3i3−i3−i32-20011-1-102-2-11i3−i31-100i3i3−i3−i300-220-11000000−i3−i3i3i30-11i3−i300000001-1−i3i3000000000
χ512-22-22-1-2211-22-2-1-2-222-22-111-100-212-1−i3−i3i3i32-20011-1-10-221-1i3−i31-100−i3−i3i3i3002-20-11000000i3i3−i3−i301-1i3−i30000000-11−i3i3000000000
χ522-22-22-1-2211-22-2-1-2-222-22-111-100-212-1i3i3−i3−i32-20011-1-10-221-1−i3i31-100i3i3−i3−i3002-20-11000000−i3−i3i3i301-1−i3i30000000-11i3−i3000000000
χ532-2-2222002-22-2-2-22i−2i2i−2i0022-2-22−200002−22−2002i−2i2i−2i2i−2i0000000002−22−22−20000000−i2i2−i2i22i−2i−i2i2−i2i2000002-2000000000−i2i20002−200
χ542-2-2222002-22-2-2-22i−2i2i−2i0022-2-22−200002−22−200−2i2i2i−2i2i−2i0000000002−22−22−20000000−i2i2i2−i2−2i2i−i2i2−i2i200000-22000000000i2−i2000−2200
χ552-2-2222002-22-2-2-22i−2i2i−2i0022-2-2−220000−22−22002i−2i2i−2i2i−2i000000000−22−22−220000000i2−i2i2−i22i−2ii2−i2i2−i2000002-2000000000i2−i2000−2200
χ562-2-2222002-22-2-2-22i−2i2i−2i0022-2-2−220000−22−2200−2i2i2i−2i2i−2i000000000−22−22−220000000i2−i2−i2i2−2i2ii2−i2i2−i200000-22000000000−i2i20002−200
χ572-2-2222002-22-2-2-2−2i2i−2i2i0022-2-22−200002−22−2002i−2i−2i2i−2i2i0000000002−22−22−20000000i2−i2−i2i22i−2ii2−i2i2−i200000-22000000000−i2i2000−2200
χ582-2-2222002-22-2-2-2−2i2i−2i2i0022-2-22−200002−22−200−2i2i−2i2i−2i2i0000000002−22−22−20000000i2−i2i2−i2−2i2ii2−i2i2−i2000002-2000000000i2−i20002−200
χ592-2-2222002-22-2-2-2−2i2i−2i2i0022-2-2−220000−22−22002i−2i−2i2i−2i2i000000000−22−22−220000000−i2i2i2−i22i−2i−i2i2−i2i200000-22000000000i2−i20002−200
χ602-2-2222002-22-2-2-2−2i2i−2i2i0022-2-2−220000−22−2200−2i2i−2i2i−2i2i000000000−22−22−220000000−i2i2−i2i2−2i2i−i2i2−i2i2000002-2000000000−i2i2000−2200
χ6144444-2-4-4-2-2444-2444400-2-2-2-200-42-420000-4-400-2-2-2-2000000022000000000002200000000000000000000000000000000000
χ6244444-2-4-4-2-2444-2-4-4-4-400-2-2-2-200-42-4200004400222200000002200000000000-2-200000000000000000000000000000000000
χ634444-24-4-444-2-2-24000000-2-2-2-2002-42-40000004400000000000220000000000-4000000-2-200000000000002000000000000000
χ644444-24-4-444-2-2-24000000-2-2-2-2002-42-4000000-4-4000000000002200000000004000000220000000000000-2000000000000000
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
χ664444-2-244-2-2-2-2-2-20000441111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-100000000000000000211-1-100000000000000000000
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
χ684444-2-244-2-2-2-2-2-20000-4-41111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-100000000000000000-2-1-11100000000000000000000
χ6944-4-44400-44-4-44-44i−4i−4i4i004-44-4000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ7044-4-44400-44-4-44-4−4i4i4i−4i004-44-400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ7144-4-44-2002-2-4-4424i−4i−4i4i00-22-22000000i6−i6−i6i60000−2i2i2i−2i00000000000i6−i6−i6i600000000000006−6−660000000000000000000000000
χ7244-4-44-2002-2-4-4424i−4i−4i4i00-22-22000000−i6i6i6−i60000−2i2i2i−2i00000000000−i6i6i6−i60000000000000−666−60000000000000000000000000
χ7344-4-44-2002-2-4-442−4i4i4i−4i00-22-22000000i6−i6−i6i600002i−2i−2i2i00000000000i6−i6−i6i60000000000000−666−60000000000000000000000000
χ7444-4-44-2002-2-4-442−4i4i4i−4i00-22-22000000−i6i6i6−i600002i−2i−2i2i00000000000−i6i6i6−i600000000000006−6−660000000000000000000000000
χ754-44-44-24-422-44-4-244-4-400-222-2004-2-4200004-400-2-2220000000-2200000000000-2200000000000000000000000000000000000
χ764-44-44-24-422-44-4-2-4-44400-222-2004-2-420000-440022-2-20000000-22000000000002-200000000000000000000000000000000000
χ774-44-4-244-4-4-42-224000000-222-200-242-40000000000000000000-220000004i−4i0000000000000000000000000−2i2i0000000000000
χ784-44-4-244-4-4-42-224000000-222-200-242-40000000000000000000-22000000−4i4i00000000000000000000000002i−2i0000000000000
χ794-44-4-24-44-4-42-22400004-4-222-2002-4-240000000000000-224-4002-2000000000000000000000000-220000000000000000000000
χ804-44-4-24-44-4-42-2240000-44-222-2002-4-2400000000000002-2-44002-20000000000000000000000002-20000000000000000000000
χ814-44-4-2-2-44222-22-200004-41-1-110022-2-2−2i3−2i32i32i3000000000-22-22−2i32i3-1100i3i3−i3−i30000000000000000001-1i3−i300000000000000000000
χ824-44-4-2-2-44222-22-200004-41-1-110022-2-22i32i3−2i3−2i3000000000-22-222i3−2i3-1100−i3−i3i3i30000000000000000001-1−i3i300000000000000000000
χ834-44-4-2-2-44222-22-20000-441-1-110022-2-2−2i3−2i32i32i30000000002-22-22i3−2i3-1100i3i3−i3−i3000000000000000000-11−i3i300000000000000000000
χ844-44-4-2-2-44222-22-20000-441-1-110022-2-22i32i3−2i3−2i30000000002-22-2−2i32i3-1100−i3−i3i3i3000000000000000000-11i3−i300000000000000000000
χ854-4-444-200-224-4-424i−4i4i−4i00-2-22222−220000−22−220000−2i2i−2i2i00000000022−22−22−220000000−2i22i20000i2−i2i2−i20000000000000000000000000
χ864-4-444-200-224-4-424i−4i4i−4i00-2-222−222200002−22−20000−2i2i−2i2i000000000−22222−22−200000002i2−2i20000−i2i2−i2i20000000000000000000000000
χ874-4-444-200-224-4-42−4i4i−4i4i00-2-22222−220000−22−2200002i−2i2i−2i00000000022−22−22−2200000002i2−2i20000−i2i2−i2i20000000000000000000000000
χ884-4-444-200-224-4-42−4i4i−4i4i00-2-222−222200002−22−200002i−2i2i−2i000000000−22222−22−20000000−2i22i20000i2−i2i2−i20000000000000000000000000
χ894-4-44-24004-4-222-4000000-2-22222−22000022−2222−22004i−4i0000000000000−22−22−22000000000−2i22i2−2i2i00000000000000000000i2−i20000000
χ904-4-44-24004-4-222-4000000-2-22222−22000022−2222−2200−4i4i0000000000000−22−22−220000000002i2−2i22i−2i00000000000000000000−i2i20000000
χ914-4-44-24004-4-222-4000000-2-222−22220000−2222−2222004i−4i00000000000002−22−22−20000000002i2−2i2−2i2i00000000000000000000−i2i20000000
χ924-4-44-24004-4-222-4000000-2-222−22220000−2222−222200−4i4i00000000000002−22−22−2000000000−2i22i22i−2i00000000000000000000i2−i20000000
χ938888-4-4-8-8-4-4-4-4-4-400000022220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-8-4800-8844-4-8000000-44-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-4004-444-440000002-22-20000002i6−2i6−2i62i60000000000000000000−i6i6i6−i6000000000000000000000000000000000000000000
χ9688-8-8-4-4004-444-440000002-22-2000000−2i62i62i6−2i60000000000000000000i6−i6−i6i6000000000000000000000000000000000000000000
χ978-88-8-4-48-8444-44-40000002-2-2200-4-44400000000000000000002-2000000000000000000000000000000000000000000000000
χ988-8-88-4-400-44-444400000022-2-242−420000−2222−222200000000000000000−22222−22−2000000000000000000000000000000000000000000
χ998-8-88-4-400-44-444400000022-2-2−4242000022−2222−220000000000000000022−22−22−22000000000000000000000000000000000000000000

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