Finite Group Databasebeta

← Group #11868624

Character table — Group #11868624

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222223333444444444444444466666666888888888888888121212121212121212121212121212121216161616161818242424242424242424242436363636364872
order12223344666666444434466688121212122424242422441212121241212121212121212242424242424444446688881212242424241212121212444412121212121212242422488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111111111111111111-1-111-11111-1-1-1-1111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1
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
χ4111111111111111111111111-1-11111-1-1-1-111-1-11111-11111-1-111-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-1-111-1-1-1-11-1-1-1-111-1-111-1-1-11111
χ51111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-111111111-1-1-1-11111111111111-1-1-1-1-111-1-11-1-1-1-1-1-111-1-1111-1-1
χ61111111111111111111-1-1111111111111111-1-11111-1-1-1-1-1-1-11111111111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111-1-1-111
χ71111111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-11-1-11111111-1-1-1-111-1-1-1-11-1-111
χ81111111111111111111-1-1111-1-11111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-111-1-111-1-1-1-1-1-11-1-111-1-1-11-111-1-1111111-111-1-1
χ911111111111111-1-1-1-11111111111111111-1-111-1-1-1-111111111111111111-1-11-1-1-1-11111-1-1-1-111111-1-11-1111-1-1-1-111-1-1-1-1-11-1
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
χ1111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-11-1-111-1-1111111-111-1-1-1-1-11111-1-111-1-1-1-1-111-11
χ1211111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1-11111-1-1-1-1-11111111-1-11-1
χ1311111111111111-1-1-1-11-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11
χ1411111111111111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-11111-1
χ1511111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111-1-111-1-11111111-1-111-1-11-11-1-111-1-1-1-111-1111-1
χ1611111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-1-11111-1-111111-1-11111-1-1-11111-1-111-1-11-1-1-11
χ17222222-2-2222222222220022200-2-2-2-20000-2-22222220000000-2-20000000000-2-2-20000220000000002200-20000000000-20000
χ18222222-2-2222222222220022200-2-2-2-20000-2-2-2-222220000000-2-200000000002-2-20000-2-2000000000-2-2002000000000020000
χ19222222-2-2222222-2-2-2-220022200-2-2-2-200002222-2-2-2-20000000-2-20000000000-222000022000000000-2-200-2000000000020000
χ20222222-2-2222222-2-2-2-220022200-2-2-2-2000022-2-2-2-2-2-20000000-2-200000000002220000-2-2000000000220020000000000-20000
χ2122222-122-122-1-122222-122-1-1-122-12-12-1-1-1-12200-1-1-1-1222-1-1-1-1-1-122-1-1-1-100220-1-1220000-1-1-1-12-1-1-1-10002000-1-1-1-1000000000
χ2222222-122-122-1-122222-122-1-1-1-2-2-12-1211112200-1-1-1-1-222-1-111-1-1-2-2111100220-1-1-2-200001111-2-1-111000-2000-1-111000000000
χ2322222-122-122-1-122222-1-2-2-1-1-122-12-12-1-1-1-12200-1-1-1-1-2-2-21111-1-122-1-1-1-100-2-20-1-1220000-1-1-1-1-21111000-20001111000000000
χ2422222-122-122-1-122222-1-2-2-1-1-1-2-2-12-1211112200-1-1-1-12-2-211-1-1-1-1-2-2111100-2-20-1-1-2-200001111211-1-1000200011-1-1000000000
χ2522222-122-122-1-12-2-2-2-2-122-1-1-122-12-12-1-1-1-1-2-2001111222-1-1-1-1-1-122-1-1-1-100-2-2011-2-2000011112-1-1-1-1000-20001111000000000
χ2622222-122-122-1-12-2-2-2-2-122-1-1-1-2-2-12-121111-2-2001111-222-1-111-1-1-2-2111100-2-2011220000-1-1-1-1-2-1-111000200011-1-1000000000
χ2722222-122-122-1-12-2-2-2-2-1-2-2-1-1-122-12-12-1-1-1-1-2-2001111-2-2-21111-1-122-1-1-1-10022011-2-200001111-211110002000-1-1-1-1000000000
χ2822222-122-122-1-12-2-2-2-2-1-2-2-1-1-1-2-2-12-121111-2-20011112-2-211-1-1-1-1-2-211110022011220000-1-1-1-1211-1-1000-2000-1-111000000000
χ292222-12222-1-122-10000-122-1-1-1222-12-12222002200002-1-12222-1-1-1-1-1-1-1-122002000022-1-10000-1-1-1-1-10020-1-1-10000-1-100000-10
χ302222-12222-1-122-10000-122-1-1-1222-12-1222200-2-200002-1-12222-1-1-1-1-1-1-1-1-2-200-20000-2-2110000-1-1-1-1-100-201110000110000010
χ312222-12222-1-122-10000-122-1-1-1-2-22-12-1-2-2-2-200220000-2-1-122-2-2-1-1111111220020000-2-2-1-100001-1-11100-20-1-1-10000110000010
χ322222-12222-1-122-10000-122-1-1-1-2-22-12-1-2-2-2-200-2-20000-2-1-122-2-2-1-1111111-2-200-20000221100001-1-11100201110000-1-100000-10
χ332222-12222-1-122-10000-1-2-2-1-1-1222-12-1222200220000-211-2-2-2-2-1-1-1-1-1-1-1-1-2-2002000022-1-100001111100-20-1110000-1-10000010
χ342222-12222-1-122-10000-1-2-2-1-1-1222-12-1222200-2-20000-211-2-2-2-2-1-1-1-1-1-1-1-12200-20000-2-21100001111100201-1-100001100000-10
χ352222-12222-1-122-10000-1-2-2-1-1-1-2-22-12-1-2-2-2-200220000211-2-222-1-1111111-2-20020000-2-2-1-10000-111-1-10020-11100001100000-10
χ362222-12222-1-122-10000-1-2-2-1-1-1-2-22-12-1-2-2-2-200-2-20000211-2-222-1-11111112200-2000022110000-111-1-100-201-1-10000-1-10000010
χ3722-2-2222-22-22-2-2-222-2-22002-2-20022-2-200002-20022-2-200000002-20000002-20002-2000000000000000000002-20000002-200000
χ3822-2-2222-22-22-2-2-222-2-22002-2-20022-2-200002-20022-2-200000002-2000000-220002-200000000000000000000-22000000-2200000
χ3922-2-2222-22-22-2-2-2-2-2222002-2-20022-2-20000-2200-2-22200000002-20000002-2000-22000000000000000000002-2000000-2200000
χ4022-2-2222-22-22-2-2-2-2-2222002-2-20022-2-20000-2200-2-22200000002-2000000-22000-2200000000000000000000-220000002-200000
χ4122-2-222-222-22-2-2-222-2-222i−2i2-2-200-2-2220000-220022-2-202i−2i2i−2i00-22000000002i−2i0-22000000000002i−2i0000000002i−2i00000000000
χ4222-2-222-222-22-2-2-222-2-22−2i2i2-2-200-2-2220000-220022-2-20−2i2i−2i2i00-2200000000−2i2i0-2200000000000−2i2i000000000−2i2i00000000000
χ4322-2-222-222-22-2-2-2-2-22222i−2i2-2-200-2-22200002-200-2-22202i−2i2i−2i00-2200000000−2i2i02-2000000000002i−2i000000000−2i2i00000000000
χ4422-2-222-222-22-2-2-2-2-2222−2i2i2-2-200-2-22200002-200-2-2220−2i2i−2i2i00-22000000002i−2i02-200000000000−2i2i0000000002i−2i00000000000
χ4522-2-22-1-22-1-2211-222-2-2-12i−2i-111001-2-12−i3−i3i3i3-2200-1-11102i−2i−ii3−31-100−i3−i3i3i3002i−2i01-1000000−i3−i3i3i30−ii3−30000000−ii3−3000000000
χ4622-2-22-1-22-1-2211-222-2-2-12i−2i-111001-2-12i3i3−i3−i3-2200-1-11102i−2i−ii−331-100i3i3−i3−i3002i−2i01-1000000i3i3−i3−i30−ii−330000000−ii−33000000000
χ4722-2-22-1-22-1-2211-222-2-2-1−2i2i-111001-2-12−i3−i3i3i3-2200-1-1110−2i2ii−i−331-100−i3−i3i3i300−2i2i01-1000000−i3−i3i3i30i−i−330000000i−i−33000000000
χ4822-2-22-1-22-1-2211-222-2-2-1−2i2i-111001-2-12i3i3−i3−i3-2200-1-1110−2i2ii−i3−31-100i3i3−i3−i300−2i2i01-1000000i3i3−i3−i30i−i3−30000000i−i3−3000000000
χ4922-2-22-1-22-1-2211-2-2-222-12i−2i-111001-2-12−i3−i3i3i32-20011-1-102i−2i−ii3−31-100−i3−i3i3i300−2i2i0-11000000i3i3−i3−i30−ii3−30000000i−i−33000000000
χ5022-2-22-1-22-1-2211-2-2-222-12i−2i-111001-2-12i3i3−i3−i32-20011-1-102i−2i−ii−331-100i3i3−i3−i300−2i2i0-11000000−i3−i3i3i30−ii−330000000i−i3−3000000000
χ5122-2-22-1-22-1-2211-2-2-222-1−2i2i-111001-2-12−i3−i3i3i32-20011-1-10−2i2ii−i−331-100−i3−i3i3i3002i−2i0-11000000i3i3−i3−i30i−i−330000000−ii3−3000000000
χ5222-2-22-1-22-1-2211-2-2-222-1−2i2i-111001-2-12i3i3−i3−i32-20011-1-10−2i2ii−i3−31-100i3i3−i3−i3002i−2i0-11000000−i3−i3i3i30i−i3−30000000−ii−33000000000
χ532-22-22200-2-2-22-222i−2i2i−2i200-22-2−i2i20000−i2i2−i2i2002-22i−2i2i−2i000000000−i2i2−i2i2−i2i200000002−2−i2i22-22−22−2000002i−2i000000000−i2i20002−200
χ542-22-22200-2-2-22-222i−2i2i−2i200-22-2−i2i20000−i2i2−i2i200-222i−2i2i−2i000000000−i2i2−i2i2−i2i200000002−2i2−i2-222−22−200000−2i2i000000000i2−i2000−2200
χ552-22-22200-2-2-22-222i−2i2i−2i200-22-2i2−i20000i2−i2i2−i2002-22i−2i2i−2i000000000i2−i2i2−i2i2−i20000000−22i2−i22-2−22−22000002i−2i000000000i2−i2000−2200
χ562-22-22200-2-2-22-222i−2i2i−2i200-22-2i2−i20000i2−i2i2−i200-222i−2i2i−2i000000000i2−i2i2−i2i2−i20000000−22−i2i2-22−22−2200000−2i2i000000000−i2i20002−200
χ572-22-22200-2-2-22-22−2i2i−2i2i200-22-2−i2i20000−i2i2−i2i2002-2−2i2i−2i2i000000000−i2i2−i2i2−i2i20000000−22−i2i22-2−22−2200000−2i2i000000000−i2i2000−2200
χ582-22-22200-2-2-22-22−2i2i−2i2i200-22-2−i2i20000−i2i2−i2i200-22−2i2i−2i2i000000000−i2i2−i2i2−i2i20000000−22i2−i2-22−22−22000002i−2i000000000i2−i20002−200
χ592-22-22200-2-2-22-22−2i2i−2i2i200-22-2i2−i20000i2−i2i2−i2002-2−2i2i−2i2i000000000i2−i2i2−i2i2−i200000002−2i2−i22-22−22−200000−2i2i000000000i2−i20002−200
χ602-22-22200-2-2-22-22−2i2i−2i2i200-22-2i2−i20000i2−i2i2−i200-22−2i2i−2i2i000000000i2−i2i2−i2i2−i200000002−2−i2i2-222−22−2000002i−2i000000000−i2i2000−2200
χ6144444-2-4-4-244-2-244444-200-2-2-2002-42-40000-4-400-2-2-2-2000000022000000000002200000000000000000000000000000000000
χ6244444-2-4-4-244-2-24-4-4-4-4-200-2-2-2002-42-400004400222200000002200000000000-2-200000000000000000000000000000000000
χ634444-24-4-44-2-244-20000-200-2-2-200-42-420000004400000000000220000000000-4000000-2-200000000000002000000000000000
χ644444-24-4-44-2-244-20000-200-2-2-200-42-42000000-4-4000000000002200000000004000000220000000000000-2000000000000000
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
χ6944-4-44-24-4-2-4422-444-4-4-200-22200-242-400004-400-2-2220000000-2200000000000-2200000000000000000000000000000000000
χ7044-4-44-24-4-2-4422-4-4-444-200-22200-242-40000-440022-2-20000000-22000000000002-200000000000000000000000000000000000
χ7144-4-4-244-442-2-4-420000-200-222004-2-420000000000000000000-220000004-40000000000000000000000000-220000000000000
χ7244-4-4-244-442-2-4-420000-200-222004-2-420000000000000000000-22000000-4400000000000000000000000002-20000000000000
χ7344-4-4-24-4442-2-4-420000-24i−4i-22200-424-20000000000000−2i2i4i−4i002-2000000000000000000000000−2i2i0000000000000000000000
χ7444-4-4-24-4442-2-4-420000-2−4i4i-22200-424-200000000000002i−2i−4i4i002-20000000000000000000000002i−2i0000000000000000000000
χ7544-4-4-2-2-44-22-2222000014i−4i1-1-10022-2-2−2i3−2i32i32i3000000000−2i2i−2i2i23−23-1100i3i3−i3−i3000000000000000000i−i−3300000000000000000000
χ7644-4-4-2-2-44-22-2222000014i−4i1-1-10022-2-22i32i3−2i3−2i3000000000−2i2i−2i2i−2323-1100−i3−i3i3i3000000000000000000i−i3−300000000000000000000
χ7744-4-4-2-2-44-22-222200001−4i4i1-1-10022-2-2−2i3−2i32i32i30000000002i−2i2i−2i−2323-1100i3i3−i3−i3000000000000000000−ii3−300000000000000000000
χ7844-4-4-2-2-44-22-222200001−4i4i1-1-10022-2-22i32i3−2i3−2i30000000002i−2i2i−2i23−23-1100−i3−i3i3i3000000000000000000−ii−3300000000000000000000
χ794-44-44-2002-4-4-2244i−4i4i−4i-2002-22−2i22i20000i2−i2i2−i20000−2i2i−2i2i000000000−2i22i2i2−i2i2−i2000000022−220000−22−220000000000000000000000000
χ804-44-44-2002-4-4-2244i−4i4i−4i-2002-222i2−2i20000−i2i2−i2i20000−2i2i−2i2i0000000002i2−2i2−i2i2−i2i20000000−222200002−22−20000000000000000000000000
χ814-44-44-2002-4-4-224−4i4i−4i4i-2002-22−2i22i20000i2−i2i2−i200002i−2i2i−2i000000000−2i22i2i2−i2i2−i20000000−222200002−22−20000000000000000000000000
χ824-44-44-2002-4-4-224−4i4i−4i4i-2002-222i2−2i20000−i2i2−i2i200002i−2i2i−2i0000000002i2−2i2−i2i2−i2i2000000022−220000−22−220000000000000000000000000
χ834-44-4-2400-4224-4-20000-2002-22−2i22i20000−2i22i2−2i22i2004-40000000000000i2−i2i2−i2i2−i2000000000−2i22i2-2200000000000000000000i2−i20000000
χ844-44-4-2400-4224-4-20000-2002-22−2i22i20000−2i22i2−2i22i200-440000000000000i2−i2i2−i2i2−i20000000002i2−2i22-200000000000000000000−i2i20000000
χ854-44-4-2400-4224-4-20000-2002-222i2−2i200002i2−2i22i2−2i2004-40000000000000−i2i2−i2i2−i2i20000000002i2−2i2-2200000000000000000000−i2i20000000
χ864-44-4-2400-4224-4-20000-2002-222i2−2i200002i2−2i22i2−2i200-440000000000000−i2i2−i2i2−i2i2000000000−2i22i22-200000000000000000000i2−i20000000
χ874-4-444400-44-4-44-44i−4i−4i4i400-4-44000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000
χ884-4-444400-44-4-44-4−4i4i4i−4i400-4-4400000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000
χ894-4-444-20024-42-2-44i−4i−4i4i-20022-20000006−6−660000−2i2i2i−2i000000000006−6−660000000000000i6−i6−i6i60000000000000000000000000
χ904-4-444-20024-42-2-44i−4i−4i4i-20022-2000000−666−60000−2i2i2i−2i00000000000−666−60000000000000−i6i6i6−i60000000000000000000000000
χ914-4-444-20024-42-2-4−4i4i4i−4i-20022-20000006−6−6600002i−2i−2i2i000000000006−6−660000000000000−i6i6i6−i60000000000000000000000000
χ924-4-444-20024-42-2-4−4i4i4i−4i-20022-2000000−666−600002i−2i−2i2i00000000000−666−60000000000000i6−i6−i6i60000000000000000000000000
χ938888-4-4-8-8-4-4-4-4-4-400002002220044440000000000000000000-2-2000000000000000000000000000000000000000000000000
χ9488-8-8-4-48-8-44-444400002002-2-200-4-44400000000000000000002-2000000000000000000000000000000000000000000000000
χ958-88-8-4-400444-44-40000200-22-2−4i24i200002i2−2i22i2−2i2000000000000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000000
χ968-88-8-4-400444-44-40000200-22-24i2−4i20000−2i22i2−2i22i200000000000000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000000
χ978-8-88-4800-8-44-8840000-40044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-4004-444-440000200-2-2200000026−26−26260000000000000000000−666−6000000000000000000000000000000000000000000
χ998-8-88-4-4004-444-440000200-2-22000000−262626−2600000000000000000006−6−66000000000000000000000000000000000000000000

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