Finite Group Databasebeta

← Group #11798619

Character table — Group #11798619

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1122222444444488888888812121212161616161616161616161624242424242436364848484848484848727272
order1223366223466666666121212124444668242424242424242444121212124444121212121212224
χ1111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11-1-1
χ31111111111111111111111111-1-1111111111111-111-1-1-1-11-11-111-1-1-1-1-1
χ41111111111111111111111111-1-111-1-1-1-1-1-1-1-1-11-111-1-1-1-1-111-1-1-111-111
χ511111111111111111111111-1-11111111111111-11-1-111-1-1-11-11-1-111-1-1-1
χ611111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-1111-1-1-111
χ711111111111111111111111-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111
χ811111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1
χ922222222-22-22222-222-2-2-2-2-200222-20000000000-2002200000-20000000
χ1022222222-22-22222-222-2-2-2-2-200-2-22-20000000000200-2-20000020000000
χ112222222-222-2222-222-22-2-2-2-22200-22000000000-2022000000-200000000
χ122222222-222-2222-222-22-2-2-2-2-2-200-2200000000020-2-2000000200000000
χ132222222-2-222222-2-22-2-222220000-2-20000000000000002200000000-200
χ142222222-2-222222-2-22-2-222220000-2-2000000000000000-2-200000000200
χ152222-12-122-12-12-12-1-1-122-1-1-12200-1-1222-1-1-1-1-1-120-1-1000020-10-1-100000
χ162222-12-122-12-12-12-1-1-122-1-1-12200-1-1-2-2-211111120-1-10000-20-101100000
χ172222-12-122-12-12-12-1-1-122-1-1-1-2-200-1-1222-1-1-1-1-1-1-20110000-20101100000
χ182222-12-122-12-12-12-1-1-122-1-1-1-2-200-1-1-2-2-2111111-201100002010-1-100000
χ192222-12-1-22-1-2-12-1-2-1-112-211122001-1000333−3−3−3-20-1-1000000103−300000
χ202222-12-1-22-1-2-12-1-2-1-112-211122001-1000−3−3−3333-20-1-100000010−3300000
χ212222-12-1-22-1-2-12-1-2-1-112-2111-2-2001-1000333−3−3−32011000000-10−3300000
χ222222-12-1-22-1-2-12-1-2-1-112-2111-2-2001-1000−3−3−33332011000000-103−300000
χ23222-12-1222-12-1-12-12-12-1-12-1-10022-1-12-1-12-1-12-1-10200-1-100020-100-1-1000
χ24222-12-1222-12-1-12-12-12-1-12-1-10022-1-1-211-211-2110200-1-1000-20-10011000
χ25222-12-1222-12-1-12-12-12-1-12-1-100-2-2-1-12-1-12-1-12-1-10-20011000-2010011000
χ26222-12-1222-12-1-12-12-12-1-12-1-100-2-2-1-1-211-211-2110-2001100020100-1-1000
χ27222-12-122-2-1-2-1-12-1-2-1211-2110022-1103−303−303−30-200-1-1000001003−3000
χ28222-12-122-2-1-2-1-12-1-2-1211-2110022-110−330−330−330-200-1-100000100−33000
χ29222-12-122-2-1-2-1-12-1-2-1211-21100-2-2-1103−303−303−302001100000-100−33000
χ30222-12-122-2-1-2-1-12-1-2-1211-21100-2-2-110−330−330−3302001100000-1003−3000
χ314444-24-24-4-2-4-24-242-2-2-4-42220000-220000000000000000000000000000
χ324444-24-2-4-4-24-24-2-42-22-44-2-2-20000220000000000000000000000000000
χ33444-24-24-44-2-4-2-2424-2-4-22-42200002-20000000000000000000000000000
χ34444-24-24-4-4-24-2-242-4-2-42-24-2-20000220000000000000000000000000000
χ35444-2-2-2-244141-2-2-2-21-2-2-2-2110000114-2-2-211-2110000000000000000000
χ36444-2-2-2-244141-2-2-2-21-2-2-2-211000011-4222-1-12-1-10000000000000000000
χ37444-2-2-2-24-41-41-2-2-221-2222-1-100001-1023−230−330−330000000000000000000
χ38444-2-2-2-24-41-41-2-2-221-2222-1-100001-10−232303−303−30000000000000000000
χ39444-2-2-2-2-441-41-2-22-212-222-1-10000-1100023−3−3−23330000000000000000000
χ40444-2-2-2-2-441-41-2-22-212-222-1-10000-11000−233323−3−30000000000000000000
χ41444-2-2-2-2-4-4141-2-222122-2-2110000-1-100003-30-330000000000000000000
χ42444-2-2-2-2-4-4141-2-222122-2-2110000-1-10000-3303-30000000000000000000
χ4344-4444400404-4-400-4000000000000000000000000000000000000002-2
χ4444-4444400404-4-400-400000000000000000000000000000000000000-22
χ454-4044-4-40040-4000000000002i−2i2i−2i00000000000002i−2i2i−2i2-200000000000
χ464-4044-4-40040-4000000000002i−2i−2i2i00000000000002i−2i−2i2i-2200000000000
χ474-4044-4-40040-400000000000−2i2i2i−2i0000000000000−2i2i2i−2i-2200000000000
χ484-4044-4-40040-400000000000−2i2i−2i2i0000000000000−2i2i−2i2i2-200000000000
χ4988-88-48-400-40-4-840040000000000000000000000000000000000000000
χ5088-8-48-4800-40-44-80040000000000000000000000000000000000000000
χ5188-8-4-4-4-4002024400-200006-60000000000000000000000000000000000
χ5288-8-4-4-4-4002024400-20000-660000000000000000000000000000000000
χ538-808-4-8400-404000000000004i−4i000000000000000−2i2i000000000000000
χ548-808-4-8400-40400000000000−4i4i0000000000000002i−2i000000000000000
χ558-80-484-800-40400000000000004i−4i000000000000000−2i2i0000000000000
χ568-80-484-800-4040000000000000−4i4i0000000000000002i−2i0000000000000
χ5716-160-8-8880040-4000000000000000000000000000000000000000000000

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