Finite Group Databasebeta

← Group #11868139

Character table — Group #11868139

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11222222244444444448888888881212121212121212121212121616161616161616161618181818242424242424242424243636484848487272
order122334466366688121212124681212242424242244888824242424121212122424242424242244226688121224248866242428
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-11-111-1-111-1-11111111111-1-1-1-11-11-11-11-11-1-1-11-11-1-1-1
χ31111111111111111111111111111-11-11-1-111-1-1111111111111-1-1-1-1-11-11-11-11-11-1-1-11-11-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ51111111111111111111-11-1111111111111111111-1-1-1-1-1-111-1-11111-1-111-1-1111111-1-1-1-1-1-1
χ61111111111111111111-11-11111111-11-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111-11-1-1-1-11-1111
χ71111111111111111111-11-1111111-11-11-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-11-1-111-1-11-11-1-11-11-111
χ81111111111111111111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1111111-1-1
χ91111111111111-1-1111111-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1111-1
χ101111111111111-1-1111111-111-1-1-1-11-11-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-11-11-1-1111-111-1-11
χ111111111111111-1-1111111-111-1-1-1-1-11-1111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-11-11-111-1111-1-11-11
χ121111111111111-1-1111111-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11-1
χ131111111111111-1-11111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-1-11
χ141111111111111-1-11111-11111-1-1-1-11-11-1-1-111-1-111-1-1-1-111-1-111-1-1-1-11-11-1-111-1-11111-1-111-1
χ151111111111111-1-11111-11111-1-1-1-1-11-1111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-11-111-1-111-111-111-11-1
χ161111111111111-1-11111-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1-1-111-11
χ1722222-2-22222222i−2i-2-2-2-2020-2-22i2i−2i−2i0000000000000000002i−2i0022-2-200000000002i−2i000000
χ1822222-2-22222222i−2i-2-2-2-2020-2-22i2i−2i−2i0000000000000000002i−2i00-2-2220000000000−2i2i000000
χ1922222-2-2222222−2i2i-2-2-2-2020-2-2−2i−2i2i2i000000000000000000−2i2i0022-2-20000000000−2i2i000000
χ2022222-2-2222222−2i2i-2-2-2-2020-2-2−2i−2i2i2i000000000000000000−2i2i00-2-22200000000002i−2i000000
χ212222-1222-1-12-1-12222-1-12-12-1-12-12-10202002200-1-12-1-1-12-1-1-1-1-10000020-1020-10-1000-10-100
χ222222-1222-1-12-1-12222-1-12-12-1-12-12-10-20-200-2-200112-1-1-12-1-1-1-1-100000-2010-2010100010100
χ232222-1222-1-12-1-12222-1-1-2-1-2-1-12-12-10202002200-1-1-2111-21-1-11100000-20-10-20-10-100010100
χ242222-1222-1-12-1-12222-1-1-2-1-2-1-12-12-10-20-200-2-20011-2111-21-1-11100000201020101000-10-100
χ252222-1222-1-12-1-1-2-222-1-12-1-2-1-1-21-21020200-2-200112-1-1-1-21111100000-20-1020-10100010-100
χ262222-1222-1-12-1-1-2-222-1-12-1-2-1-1-21-210-20-2002200-1-12-1-1-1-211111000002010-2010-1000-10100
χ272222-1222-1-12-1-1-2-222-1-1-2-12-1-1-21-21020200-2-20011-21112-111-1-10000020-10-20-101000-10100
χ282222-1222-1-12-1-1-2-222-1-1-2-12-1-1-21-210-20-2002200-1-1-21112-111-1-100000-20102010-100010-100
χ29222-1222-12-1-12-122-1-1222-12-1-1-12-1220202200-1-100-12-1-1-12-1-1-1-1000020-1020-10-1000-10-1000
χ30222-1222-12-1-12-122-1-1222-12-1-1-12-12-20-20-2-2001100-12-1-1-12-1-1-1-10000-2010-20101000101000
χ31222-1222-12-1-12-122-1-122-2-1-2-1-1-12-1220202200-1-1001-2111-2-1-1110000-20-10-20-10-1000101000
χ32222-1222-12-1-12-122-1-122-2-1-2-1-1-12-12-20-20-2-20011001-2111-2-1-1110000201020101000-10-1000
χ33222-1222-12-1-12-1-2-2-1-1222-1-2-1-11-21-22020-2-2001100-12-1-11-211110000-20-1020-10100010-1000
χ34222-1222-12-1-12-1-2-2-1-1222-1-2-1-11-21-2-20-202200-1-100-12-1-11-2111100002010-2010-1000-101000
χ35222-1222-12-1-12-1-2-2-1-122-2-12-1-11-21-22020-2-20011001-211-1211-1-1000020-10-20-101000-101000
χ36222-1222-12-1-12-1-2-2-1-122-2-12-1-11-21-2-20-202200-1-1001-211-1211-1-10000-20102010-100010-1000
χ3722-2222-2222-2-22002-22-20-202-2000000002-22-2222200000000002-22-200000000-2-200000000
χ3822-2222-2222-2-22002-22-20-202-2000000002-2-2222-2-20000000000-22-2200000000-2200000000
χ3922-2222-2222-2-22002-22-20-202-200000000-222-2-2-2220000000000-22-22000000002-200000000
χ4022-2222-2222-2-22002-22-20-202-200000000-22-22-2-2-2-200000000002-22-2000000002200000000
χ4122-222-22222-2-2200-22-220-20-22000022-2-2000000000000000000-222-2002200-2-20000000000
χ4222-222-22222-2-2200-22-220-20-2200002-2-220000000000000000002-2-22002-200-220000000000
χ4322-222-22222-2-2200-22-220-20-220000-222-20000000000000000002-2-2200-22002-20000000000
χ4422-222-22222-2-2200-22-220-20-220000-2-222000000000000000000-222-200-2-200220000000000
χ454444-2-4-44-2-24-2-24i−4i-4-4220-20224i−2i−4i2i000000000000000000−2i2i000000000000000000000000
χ464444-2-4-44-2-24-2-2−4i4i-4-4220-2022−4i2i4i−2i0000000000000000002i−2i000000000000000000000000
χ47444-24-4-4-24-2-24-24i−4i22-4-40-2022−2i4i2i−4i000000000000000000−2i2i000000000000000000000000
χ48444-24-4-4-24-2-24-2−4i4i22-4-40-20222i−4i−2i4i0000000000000000002i−2i000000000000000000000000
χ49444-2-244-2-21-2-2144-2-2-2-241411-2-2-2-2000000000000-2-211-2-211110000000000000000000000
χ50444-2-244-2-21-2-2144-2-2-2-2-41-411-2-2-2-200000000000022-1-12211-1-10000000000000000000000
χ51444-2-244-2-21-2-21-4-4-2-2-2-241-4112222000000000000-2-21122-1-1-1-10000000000000000000000
χ52444-2-244-2-21-2-21-4-4-2-2-2-2-41411222200000000000022-1-1-2-2-1-1110000000000000000000000
χ53444-2-2-4-4-2-21-2-214i−4i2222010-1-1−2i−2i2i2i000000000000003-300i−i3i−3i0000000000000000000000
χ54444-2-2-4-4-2-21-2-214i−4i2222010-1-1−2i−2i2i2i00000000000000-3300i−i−3i3i0000000000000000000000
χ55444-2-2-4-4-2-21-2-21−4i4i2222010-1-12i2i−2i−2i000000000000003-300−ii−3i3i0000000000000000000000
χ56444-2-2-4-4-2-21-2-21−4i4i2222010-1-12i2i−2i−2i00000000000000-3300−ii3i−3i0000000000000000000000
χ5744-44-24-44-2-2-42-2004-4-22020-2200000000004-400-2-200000000000000000000000200000000
χ5844-44-24-44-2-2-42-2004-4-22020-220000000000-44002200000000000000000000000-200000000
χ5944-44-2-444-2-2-42-200-442-20202-20000040-40000000000000000000000000-200020000000000
χ6044-44-2-444-2-2-42-200-442-20202-200000-40400000000000000000000000002000-20000000000
χ6144-4-244-4-24-22-4-200-224-4020-22000000004-400-2-20000000000000000000000002000000000
χ6244-4-244-4-24-22-4-200-224-4020-2200000000-440022000000000000000000000000-2000000000
χ6344-4-24-44-24-22-4-2002-2-440202-2000040-40000000000000000000000000-2000200000000000
χ6444-4-24-44-24-22-4-2002-2-440202-20000-40400000000000000000000000002000-200000000000
χ6588-8-4-48-8-4-4244200-44-440-202-2000000000000000000000000000000000000000000000000
χ6688-8-4-4-88-4-42442004-44-40-20-22000000000000000000000000000000000000000000000000
χ678-808800-8-8800-800000000000000000000000000000000000000000000000000000000000
χ688-808-400-84-4004000000000000000000000000026−2600000000000000000000000000000000
χ698-808-400-84-40040000000000000000000000000−262600000000000000000000000000000000
χ708-80-48004-8-40040000000000000000000000026−260000000000000000000000000000000000
χ718-80-48004-8-400400000000000000000000000−26260000000000000000000000000000000000
χ7216-160-8-80088400-400000000000000000000000000000000000000000000000000000000000

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