Finite Group Databasebeta

← Group #11869713

Character table — Group #11869713

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order12223344666666444434466688121212122424242422221212121241212121212121212242424242424444446666888824242424121212121244241212121212121224242448864
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111111111111111111-1-111-111-1-111-1-1111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-111111111-11111-1-111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-111-1-1111-1-111-1-1111-1-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-111-1-11111-11111-1-111-1-1-1-1-1-1-1-111-111-1-1-1-111-1-1-1-1-111-1-1-1-11-1-111-1-1-1-111-1-1-11111
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
χ61111111111111111111-1-1111111111111111-1-11111-1-1-1-1-1-1-11111111111-1-1-111-1-111-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-111-1-111
χ71111111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11-1-11111111-1-111-1-1-1-11-1-1-1-111
χ81111111111111111111-1-1111-1-11111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-111-1-1-1-111-1-1-1-11-1-111-1-1-11-1-1-1111111-11111-1-1
χ911111111111111-1-1-1-11111111111111111-1-111-1-1-1-111111111111111111-1-11-1-111-1-111-1-1-1-111111-1-11-11-1-1-1-11111-1-1-1-1-11-1
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
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-11-1-11111-1-11111-111-1-1-1-1-111-1-11111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-11111-1-1-111-1-111111-1-11-1
χ1311111111111111-1-1-1-11-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-111-1-1-11
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
χ1511111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11111-1-111111-1-111-1-11-1111-1-1-1-1-1-1-111111-1
χ1611111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1111111111-1-11111-1-1-111-1-111111-1-1-1-1-11
χ17222222-2-2222222222220022200-2-2-2-20000-2-22222220000000-2-20000000000-2-2-22200000000000002200-200000000-2000000
χ18222222-2-2222222222220022200-2-2-2-20000-2-2-2-222220000000-2-200000000002-2-2-2-20000000000000-2-2002000000002000000
χ19222222-2-2222222-2-2-2-220022200-2-2-2-200002222-2-2-2-20000000-2-20000000000-222220000000000000-2-200-2000000002000000
χ20222222-2-2222222-2-2-2-220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-20000000000222-2-200000000000002200200000000-2000000
χ2122222-122-12-122-10000-122-1-1-1222-1-12222200220000222-1-122-1-1-1-1-1-1-1-12200200-1-100220000-1-1-1-1-10020-10000-1-1-1-100000-10
χ2222222-122-12-122-10000-122-1-1-1222-1-12222200-2-20000222-1-122-1-1-1-1-1-1-1-1-2-200-2001100-2-20000-1-1-1-1-100-201000011110000010
χ2322222-122-12-122-10000-122-1-1-1-2-22-1-12-2-2-2-200220000-222-1-1-2-2-1-11111112200200-1-100-2-200001-1-11100-20-10000-1-1110000010
χ2422222-122-12-122-10000-122-1-1-1-2-22-1-12-2-2-2-200-2-20000-222-1-1-2-2-1-1111111-2-200-20011002200001-1-11100201000011-1-100000-10
χ2522222-122-12-122-10000-1-2-2-1-1-1222-1-12222200220000-2-2-211-2-2-1-1-1-1-1-1-1-1-2-200200-1-1002200001111100-20-1000011-1-10000010
χ2622222-122-12-122-10000-1-2-2-1-1-1222-1-12222200-2-20000-2-2-211-2-2-1-1-1-1-1-1-1-12200-2001100-2-2000011111002010000-1-11100000-10
χ2722222-122-12-122-10000-1-2-2-1-1-1-2-22-1-12-2-2-2-2002200002-2-21122-1-1111111-2-200200-1-100-2-20000-111-1-10020-10000111100000-10
χ2822222-122-12-122-10000-1-2-2-1-1-1-2-22-1-12-2-2-2-200-2-200002-2-21122-1-11111112200-2001100220000-111-1-100-2010000-1-1-1-10000010
χ292222-12222-12-1-122222-122-1-1-122-122-1-1-1-1-12200-1-1-1-12-1-122-1-1-1-122-1-1-1-100220-1-1002200-1-1-1-12-1-1-1-100020-1-1-1-100000000000
χ302222-12222-12-1-122222-122-1-1-1-2-2-122-111112200-1-1-1-1-2-1-12211-1-1-2-2111100220-1-100-2-2001111-2-1-111000-20-1-11100000000000
χ312222-12222-12-1-122222-1-2-2-1-1-122-122-1-1-1-1-12200-1-1-1-1-211-2-211-1-122-1-1-1-100-2-20-1-1002200-1-1-1-1-21111000-20111100000000000
χ322222-12222-12-1-122222-1-2-2-1-1-1-2-2-122-111112200-1-1-1-1211-2-2-1-1-1-1-2-2111100-2-20-1-100-2-2001111211-1-10002011-1-100000000000
χ332222-12222-12-1-12-2-2-2-2-122-1-1-122-122-1-1-1-1-1-2-20011112-1-122-1-1-1-122-1-1-1-100-2-201100-2-20011112-1-1-1-1000-20111100000000000
χ342222-12222-12-1-12-2-2-2-2-122-1-1-1-2-2-122-11111-2-2001111-2-1-12211-1-1-2-2111100-2-2011002200-1-1-1-1-2-1-1110002011-1-100000000000
χ352222-12222-12-1-12-2-2-2-2-1-2-2-1-1-122-122-1-1-1-1-1-2-2001111-211-2-211-1-122-1-1-1-1002201100-2-2001111-2111100020-1-1-1-100000000000
χ362222-12222-12-1-12-2-2-2-2-1-2-2-1-1-1-2-2-122-11111-2-2001111211-2-2-1-1-1-1-2-211110022011002200-1-1-1-1211-1-1000-20-1-11100000000000
χ372-22-222002-2-22-2-22i2i−2i−2i200-22-2−i2i20000−i2−i2i2i2002-22i2i−2i−2i000000000−i2i2−i2−i2i2i200000002-22−2−i2i222−2−2000002i−2i000000000−i2i20002−200
χ382-22-222002-2-22-2-22i2i−2i−2i200-22-2−i2i20000−i2−i2i2i200-222i2i−2i−2i000000000−i2i2−i2−i2i2i20000000-222−2i2−i222−2−200000−2i2i000000000i2−i2000−2200
χ392-22-222002-2-22-2-22i2i−2i−2i200-22-2i2−i20000i2i2−i2−i2002-22i2i−2i−2i000000000i2−i2i2i2−i2−i200000002-2−22i2−i2−2−222000002i−2i000000000i2−i2000−2200
χ402-22-222002-2-22-2-22i2i−2i−2i200-22-2i2−i20000i2i2−i2−i200-222i2i−2i−2i000000000i2−i2i2i2−i2−i20000000-22−22−i2i2−2−22200000−2i2i000000000−i2i20002−200
χ412-22-222002-2-22-2-2−2i−2i2i2i200-22-2−i2i20000−i2−i2i2i2002-2−2i−2i2i2i000000000−i2i2−i2−i2i2i200000002-2−22−i2i2−2−22200000−2i2i000000000−i2i2000−2200
χ422-22-222002-2-22-2-2−2i−2i2i2i200-22-2−i2i20000−i2−i2i2i200-22−2i−2i2i2i000000000−i2i2−i2−i2i2i20000000-22−22i2−i2−2−222000002i−2i000000000i2−i20002−200
χ432-22-222002-2-22-2-2−2i−2i2i2i200-22-2i2−i20000i2i2−i2−i2002-2−2i−2i2i2i000000000i2−i2i2i2−i2−i200000002-22−2i2−i222−2−200000−2i2i000000000i2−i20002−200
χ442-22-222002-2-22-2-2−2i−2i2i2i200-22-2i2−i20000i2i2−i2−i200-22−2i−2i2i2i000000000i2−i2i2i2−i2−i20000000-222−2−i2i222−2−2000002i−2i000000000−i2i2000−2200
χ452-2-22222-2-222-2-2-22-22-222i−2i2-2-200-22-2200002-2002-22-202i−2i2i−2i00-22000000002i−2i02-2000000000002i−2i00000002i−2i0000000000000
χ462-2-22222-2-222-2-2-22-22-22−2i2i2-2-200-22-2200002-2002-22-20−2i2i−2i2i00-2200000000−2i2i02-200000000000−2i2i0000000−2i2i0000000000000
χ472-2-22222-2-222-2-2-2-22-2222i−2i2-2-200-22-220000-2200-22-2202i−2i2i−2i00-2200000000−2i2i0-22000000000002i−2i0000000−2i2i0000000000000
χ482-2-22222-2-222-2-2-2-22-222−2i2i2-2-200-22-220000-2200-22-220−2i2i−2i2i00-22000000002i−2i0-2200000000000−2i2i00000002i−2i0000000000000
χ492-2-2222-22-222-2-2-22-22-22002-2-2002-22-20000-22002-22-200000002-20000002i−2i000-220000000000000000000000002i−2i0002i−2i0000
χ502-2-2222-22-222-2-2-22-22-22002-2-2002-22-20000-22002-22-200000002-2000000−2i2i000-22000000000000000000000000−2i2i000−2i2i0000
χ512-2-2222-22-222-2-2-2-22-222002-2-2002-22-200002-200-22-2200000002-20000002i−2i0002-20000000000000000000000002i−2i000−2i2i0000
χ522-2-2222-22-222-2-2-2-22-222002-2-2002-22-200002-200-22-2200000002-2000000−2i2i0002-2000000000000000000000000−2i2i0002i−2i0000
χ532-2-22-122-2-2-1211-22-22-2-12i−2i-1110012-2-1−i3i3−i3i32-200-11-110−ii2i−2i3−31-100−i3i3−i3i3002i−2i0-11000000−i3i3−i3i30−ii3−300000−ii3−300000000000
χ542-2-22-122-2-2-1211-22-22-2-12i−2i-1110012-2-1i3−i3i3−i32-200-11-110−ii2i−2i−331-100i3−i3i3−i3002i−2i0-11000000i3−i3i3−i30−ii−3300000−ii−3300000000000
χ552-2-22-122-2-2-1211-22-22-2-1−2i2i-1110012-2-1−i3i3−i3i32-200-11-110i−i−2i2i−331-100−i3i3−i3i300−2i2i0-11000000−i3i3−i3i30i−i−3300000i−i−3300000000000
χ562-2-22-122-2-2-1211-22-22-2-1−2i2i-1110012-2-1i3−i3i3−i32-200-11-110i−i−2i2i3−31-100i3−i3i3−i300−2i2i0-11000000i3−i3i3−i30i−i3−300000i−i3−300000000000
χ572-2-22-122-2-2-1211-2-22-22-12i−2i-1110012-2-1−i3i3−i3i3-22001-11-10−ii2i−2i3−31-100−i3i3−i3i300−2i2i01-1000000i3−i3i3−i30−ii3−300000i−i−3300000000000
χ582-2-22-122-2-2-1211-2-22-22-12i−2i-1110012-2-1i3−i3i3−i3-22001-11-10−ii2i−2i−331-100i3−i3i3−i300−2i2i01-1000000−i3i3−i3i30−ii−3300000i−i3−300000000000
χ592-2-22-122-2-2-1211-2-22-22-1−2i2i-1110012-2-1−i3i3−i3i3-22001-11-10i−i−2i2i−331-100−i3i3−i3i3002i−2i01-1000000i3−i3i3−i30i−i−3300000−ii3−300000000000
χ602-2-22-122-2-2-1211-2-22-22-1−2i2i-1110012-2-1i3−i3i3−i3-22001-11-10i−i−2i2i3−31-100i3−i3i3−i3002i−2i01-1000000−i3i3−i3i30i−i3−300000−ii−3300000000000
χ6144444-2-4-4-24-244-20000-200-2-2-200-422-40000004400000000000220000000000-400-2-2000000000000000002000000000000000
χ6244444-2-4-4-24-244-20000-200-2-2-200-422-4000000-4-4000000000002200000000004002200000000000000000-2000000000000000
χ634444-24-4-44-24-2-244444-200-2-2-2002-4-420000-4-400-2-2-2-2000000022000000000002200000000000000000000000000000000000
χ644444-24-4-44-24-2-24-4-4-4-4-200-2-2-2002-4-4200004400222200000002200000000000-2-200000000000000000000000000000000000
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
χ664444-2-244-2-2-2-2-2-20000144111-4-4-2-2-2-2222200000000-4-2-2-2-2221122-1-1-1-100000000000000000211-1-100000000000000000000
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
χ684444-2-244-2-2-2-2-2-200001-4-4111-4-4-2-2-2-222220000000042222-2-21122-1-1-1-100000000000000000-2-1-11100000000000000000000
χ6944-4-44400-4-4-4-4444i−4i−4i4i400-4-44000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ7044-4-44400-4-4-4-444−4i4i4i−4i400-4-4400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ7144-4-4-2400-42-42-244i−4i−4i4i-20022-20000006−6−660000−2i2i2i−2i000000000006−6−660000000000000i6−i6−i6i60000000000000000000000000
χ7244-4-4-2400-42-42-244i−4i−4i4i-20022-2000000−666−60000−2i2i2i−2i00000000000−666−60000000000000−i6i6i6−i60000000000000000000000000
χ7344-4-4-2400-42-42-24−4i4i4i−4i-20022-20000006−6−6600002i−2i−2i2i000000000006−6−660000000000000−i6i6i6−i60000000000000000000000000
χ7444-4-4-2400-42-42-24−4i4i4i−4i-20022-2000000−666−600002i−2i−2i2i00000000000−666−60000000000000i6−i6−i6i60000000000000000000000000
χ754-44-44-200-2-424-420000-2002-22−2i22i20000−2i2−2i22i22i2004-40000000000000i2−i2i2i2−i2−i20000000-2200−2i22i200000000000000000000i2−i20000000
χ764-44-44-200-2-424-420000-2002-22−2i22i20000−2i2−2i22i22i200-440000000000000i2−i2i2i2−i2−i200000002-2002i2−2i200000000000000000000−i2i20000000
χ774-44-44-200-2-424-420000-2002-222i2−2i200002i22i2−2i2−2i2004-40000000000000−i2i2−i2−i2i2i20000000-22002i2−2i200000000000000000000−i2i20000000
χ784-44-44-200-2-424-420000-2002-222i2−2i200002i22i2−2i2−2i200-440000000000000−i2i2−i2−i2i2i200000002-200−2i22i200000000000000000000i2−i20000000
χ794-44-4-240042-4-22-44i4i−4i−4i-2002-22−2i22i20000i2i2−i2−i20000−2i−2i2i2i000000000−2i22i2i2i2−i2−i200000000022−2200−2−2220000000000000000000000000
χ804-44-4-240042-4-22-44i4i−4i−4i-2002-222i2−2i20000−i2−i2i2i20000−2i−2i2i2i0000000002i2−2i2−i2−i2i2i2000000000−22220022−2−20000000000000000000000000
χ814-44-4-240042-4-22-4−4i−4i4i4i-2002-22−2i22i20000i2i2−i2−i200002i2i−2i−2i000000000−2i22i2i2i2−i2−i2000000000−22220022−2−20000000000000000000000000
χ824-44-4-240042-4-22-4−4i−4i4i4i-2002-222i2−2i20000−i2−i2i2i200002i2i−2i−2i0000000002i2−2i2−i2−i2i2i200000000022−2200−2−2220000000000000000000000000
χ834-4-444-24-424-2-4-420000-24i−4i-22200-4-22400000000000004i−4i−2i2i002-2000000000000000000000000−2i2i0000000000000000000000
χ844-4-444-24-424-2-4-420000-2−4i4i-22200-4-2240000000000000−4i4i2i−2i002-20000000000000000000000002i−2i0000000000000000000000
χ854-4-444-2-4424-2-4-420000-200-2220042-2-40000000000000000000-220000004i−4i00000000000000000000000000000−2i2i000000000
χ864-4-444-2-4424-2-4-420000-200-2220042-2-40000000000000000000-22000000−4i4i000000000000000000000000000002i−2i000000000
χ874-4-44-24-44-4-2422-44-44-4-200-22200-2-4420000-4400-22-220000000-22000000000002-200000000000000000000000000000000000
χ884-4-44-24-44-4-2422-4-44-44-200-22200-2-44200004-4002-22-20000000-2200000000000-2200000000000000000000000000000000000
χ894-4-44-2-24-42-2-2222000014i−4i1-1-1002-22-2−2i32i3−2i32i3000000000−2i2i−2i2i23−23-1100i3−i3i3−i3000000000000000000i−i−3300000000000000000000
χ904-4-44-2-24-42-2-2222000014i−4i1-1-1002-22-22i3−2i32i3−2i3000000000−2i2i−2i2i−2323-1100−i3i3−i3i3000000000000000000i−i3−300000000000000000000
χ914-4-44-2-24-42-2-222200001−4i4i1-1-1002-22-2−2i32i3−2i32i30000000002i−2i2i−2i−2323-1100i3−i3i3−i3000000000000000000−ii3−300000000000000000000
χ924-4-44-2-24-42-2-222200001−4i4i1-1-1002-22-22i3−2i32i3−2i30000000002i−2i2i−2i23−23-1100−i3i3−i3i3000000000000000000−ii−3300000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400002002220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-88-4004-84-88-40000-40044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-4004444-4-40000200-2-2200000026−26−26260000000000000000000−666−6000000000000000000000000000000000000000000
χ9688-8-8-4-4004444-4-40000200-2-22000000−262626−2600000000000000000006−6−66000000000000000000000000000000000000000000
χ978-88-8-4-400-444-4440000200-22-2−4i24i200002i22i2−2i2−2i2000000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ988-88-8-4-400-444-4440000200-22-24i2−4i20000−2i2−2i22i22i200000000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ998-8-88-4-4-884-4-444400002002-2-200-44-4400000000000000000002-2000000000000000000000000000000000000000000000000

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