Finite Group Databasebeta

← Group #11868025

Character table — Group #11868025

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222222244444444444444488888888889912121212121212121616161616161616181818181824242424242424242424242436484848487272
order122334466883666812121212121224242424688122424242424244422448888242424242424242422488224466121224242424866121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111
χ3111111111111111111111111111111111111-1-11-11-111-1-111111111-1-1-1-1-11-11-11-11-111-1-1-11-11-1-1-1
χ4111111111111111111111111111111111111-1-1-11-11-1-11111111111-1-1-1-1-1-11-11-11-11-1-111-1-11-11-1-1
χ5111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1
χ6111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1
χ7111111111111111111111111111-1-11111111-1-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-111-1-1-1-11-1111
χ8111111111111111111111111111-1-11111111-1-1-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-11-1-111-11-11-111
χ9111111111-1-11111-1111111-1-1-1-111-11-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-11-1-111111-1-1-1-1-11-1-111-1
χ10111111111-1-11111-1111111-1-1-1-111-11-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111-1-1-111-1-1-1-1-11111-1-111-11-1
χ11111111111-1-11111-1111111-1-1-1-111-11-1-1-1-1-1-1-1-11-11-1-1-1111111-1-1-1-1-1-1-11111-1-11-11-1-1-111111-1-1-11
χ12111111111-1-11111-1111111-1-1-1-111-11-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-1-1-1-111-1-111-11-1111-1-11-1-111-11
χ13111111111-1-11111-1111111-1-1-1-11-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-111-11111-1-1-1-1-1-111-1-11
χ14111111111-1-11111-1111111-1-1-1-11-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-11-1-11-1-1-1-11111-11-1-11-11
χ15111111111-1-11111-1111111-1-1-1-11-111-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-11111-1-1-111-1-1111-11-1-1-1111-1-1111-1
χ16111111111-1-11111-1111111-1-1-1-11-111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-11111-1-1-11111-1-1-11-1111-1-1111-1-11-1
χ1722222-2-2220022220-2-2-2-2-2-20000200-20000002200002i−2i2i−2i00000000-2-2200000000002i−2i2i−2i0000000
χ1822222-2-2220022220-2-2-2-2-2-20000200-2000000220000−2i2i−2i2i00000000-2-220000000000−2i2i−2i2i0000000
χ1922222-2-2220022220-2-2-2-2-2-20000200-2000000-2-200002i−2i−2i2i0000000022-200000000002i−2i−2i2i0000000
χ2022222-2-2220022220-2-2-2-2-2-20000200-2000000-2-20000−2i2i2i−2i0000000022-20000000000−2i2i2i−2i0000000
χ212222-1222-122-12-1-122-1-1-12-122-1-1-122-12-1-1-1-1-100020200222-1-1-12-1-1-10000002020-10-100-1-100-10-100
χ222222-1222-122-12-1-122-1-1-12-122-1-1-122-12-1-1-1-1-1000-20-200-2-22-1-1-12-1-1-1000000-20-2010100110010100
χ232222-1222-122-12-1-122-1-1-12-122-1-1-1-2-2-12-1-1-1-1-10002020022-2111-2111000000-20-20-10-100-1-10010100
χ242222-1222-122-12-1-122-1-1-12-122-1-1-1-2-2-12-1-1-1-1-1000-20-200-2-2-2111-21110000002020101001100-10-100
χ252222-1222-1-2-2-12-1-1-22-1-1-12-1-2-211-12-2-1-21111100020200-2-22-1-1-1-2111000000-2020-10-100110010-100
χ262222-1222-1-2-2-12-1-1-22-1-1-12-1-2-211-12-2-1-211111000-20-200222-1-1-1-211100000020-2010100-1-100-10100
χ272222-1222-1-2-2-12-1-1-22-1-1-12-1-2-211-1-22-1-21111100020200-2-2-21112-1-1-100000020-20-10-1001100-10100
χ282222-1222-1-2-2-12-1-1-22-1-1-12-1-2-211-1-22-1-211111000-20-20022-21112-1-1-1000000-202010100-1-10010-100
χ29222-1222-1222-1-12-12-12-1-1-12-1-122-122-1-12-1-1-1-10020202200-12-1-1-12-1-1000002020-10-10-1-1000-10-1000
χ30222-1222-1222-1-12-12-12-1-1-12-1-122-122-1-12-1-1-1-100-20-20-2-200-12-1-1-12-1-100000-20-20101011000101000
χ31222-1222-1222-1-12-12-12-1-1-12-1-122-1-2-2-1-12-1-1-1-100202022001-2111-21100000-20-20-10-10-1-1000101000
χ32222-1222-1222-1-12-12-12-1-1-12-1-122-1-2-2-1-12-1-1-1-100-20-20-2-2001-2111-211000002020101011000-10-1000
χ33222-1222-12-2-2-1-12-1-2-12-1-1-1211-2-2-12-2-11-21111002020-2-200-12-1-11-2110000020-20-10-1011000-101000
χ34222-1222-12-2-2-1-12-1-2-12-1-1-1211-2-2-12-2-11-2111100-20-202200-12-1-11-21100000-20201010-1-100010-1000
χ35222-1222-12-2-2-1-12-1-2-12-1-1-1211-2-2-1-22-11-21111002020-2-2001-211-12-1-100000-2020-10-101100010-1000
χ36222-1222-12-2-2-1-12-1-2-12-1-1-1211-2-2-1-22-11-2111100-20-2022001-211-12-1-10000020-201010-1-1000-101000
χ3722-2222-222222-2-22-2-2-2-2-2222222-2002-2-222-2-22200000000000000002-2-222000000000000-2000000
χ3822-2222-222222-2-22-2-2-2-2-2222222-2002-2-222-2-2-2-20000000000000000-222-2-20000000000002000000
χ3922-2222-222-2-22-2-222-2-2-2-222-2-2-2-2-200222-2-2222200000000000000002-2-2-2-20000000000002000000
χ4022-2222-222-2-22-2-222-2-2-2-222-2-2-2-2-200222-2-222-2-20000000000000000-22222000000000000-2000000
χ4122-222-2222002-2-2202222-2-20000-200-2000000222-2-22000000000000-22-20000002-2-2200000000000
χ4222-222-2222002-2-2202222-2-20000-200-200000022-222-2000000000000-22-2000000-222-200000000000
χ4322-222-2222002-2-2202222-2-20000-200-2000000-2-222-2-20000000000002-2200000022-2-200000000000
χ4422-222-2222002-2-2202222-2-20000-200-2000000-2-2-2-2220000000000002-22000000-2-22200000000000
χ454444-2-4-44-200-24-2-20-4222-420000-2002000000000000004i−4i00000000000000000000000−2i2i0000000
χ464444-2-4-44-200-24-2-20-4222-420000-200200000000000000−4i4i000000000000000000000002i−2i0000000
χ47444-24-4-4-2400-2-24-202-4222-40000-20020000000000004i−4i00000000000000000000000−2i2i000000000
χ48444-24-4-4-2400-2-24-202-4222-40000-2002000000000000−4i4i000000000000000000000002i−2i000000000
χ49444-2-244-2-2441-2-214-2-211-2-2-2-2-2-21441-2-211110000000000-2-211-2-211000000000000000000000000
χ50444-2-244-2-2441-2-214-2-211-2-2-2-2-2-21-4-41-2-21111000000000022-1-122-1-1000000000000000000000000
χ51444-2-244-2-2-4-41-2-21-4-2-211-2-2222214-4122-1-1-1-10000000000-2-21122-1-1000000000000000000000000
χ52444-2-244-2-2-4-41-2-21-4-2-211-2-222221-44122-1-1-1-1000000000022-1-1-2-211000000000000000000000000
χ5344-44-24-44-244-2-42-2-4-42224-244-2-2200-2-42-2-222000000000000000000000000000000000000000000
χ5444-44-24-44-2-4-4-2-42-24-42224-2-4-422200-24-222-2-2000000000000000000000000000000000000000000
χ5544-44-2-444-200-2-42-204-2-2-2-420000200200000000040-40000000000000000000000-20200000000000
χ5644-44-2-444-200-2-42-204-2-2-2-4200002002000000000-404000000000000000000000020-200000000000
χ5744-4-244-4-2444-22-4-2-42-422-24-2-244200-22-4-2-222000000000000000000000000000000000000000000
χ5844-4-244-4-24-4-4-22-4-242-422-2422-4-4200-2-2422-2-2000000000000000000000000000000000000000000
χ5944-4-24-44-2400-22-4-20-24-2-22-4000020020000000040-40000000000000000000000-202000000000000
χ6044-4-24-44-2400-22-4-20-24-2-22-40000200200000000-404000000000000000000000020-2000000000000
χ6144-4-2-24-4-2-2441221-422-1-1-2-2-2-2-2-2-10012211-1-10000000000003i−3i003i−3i000000000000000000000000
χ6244-4-2-24-4-2-2441221-422-1-1-2-2-2-2-2-2-10012211-1-1000000000000−3i3i00−3i3i000000000000000000000000
χ6344-4-2-24-4-2-2-4-41221422-1-1-2-22222-1001-2-2-1-1110000000000003i−3i00−3i3i000000000000000000000000
χ6444-4-2-24-4-2-2-4-41221422-1-1-2-22222-1001-2-2-1-111000000000000−3i3i003i−3i000000000000000000000000
χ654-404400-4-42i2−2i2400-400000002i2−2i22i2−2i20000002i2−2i2004i−4i000000000000000000022−220000000000000000000
χ664-404400-4-42i2−2i2400-400000002i2−2i22i2−2i20000002i2−2i200−4i4i0000000000000000000−22220000000000000000000
χ674-404400-4-4−2i22i2400-40000000−2i22i2−2i22i2000000−2i22i2004i−4i0000000000000000000−22220000000000000000000
χ684-404400-4-4−2i22i2400-40000000−2i22i2−2i22i2000000−2i22i200−4i4i000000000000000000022−220000000000000000000
χ69888-4-4-8-8-4-4002-4-42044-2-2440000200-2000000000000000000000000000000000000000000000000
χ7088-8-4-4-88-4-40024420-4-422440000-200-2000000000000000000000000000000000000000000000000
χ718-808-400-844i2−4i2-400400000004i2−4i2−2i22i2000000−2i22i200000000000000000000000000000000000000000000
χ728-808-400-84−4i24i2-40040000000−4i24i22i2−2i20000002i2−2i200000000000000000000000000000000000000000000
χ738-80-48004-84i2−4i2-40040000000−2i22i24i2−4i2000000−2i22i200000000000000000000000000000000000000000000
χ748-80-48004-8−4i24i2-400400000002i2−2i2−4i24i20000002i2−2i200000000000000000000000000000000000000000000
χ758-80-4-400444i2−4i2200-20006i−6i00−2i22i2−2i22i2000000i2−i232−32000000000000000000000000000000000000000000
χ768-80-4-400444i2−4i2200-2000−6i6i00−2i22i2−2i22i2000000i2−i2−3232000000000000000000000000000000000000000000
χ778-80-4-40044−4i24i2200-20006i−6i002i2−2i22i2−2i2000000−i2i2−3232000000000000000000000000000000000000000000
χ788-80-4-40044−4i24i2200-2000−6i6i002i2−2i22i2−2i2000000−i2i232−32000000000000000000000000000000000000000000

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