Finite Group Databasebeta

← Group #11865324

Character table — Group #11865324

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121224242424242424242424242424242424242424243636363636363636
order12442223344466121212123666666666121212121212121212124466121212121212121212121212121212121212222244444444666612121212121212121212121222224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-111
χ711111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111
χ811111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ911-1-111111-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-111-1-111111111-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-11-11-111-1-111-1-11-1111-1-1-1
χ1011-1-111111-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-111-1-111111111-1-1-1-1-1-1-1-11-1-111-1-111-1-111-1-111-1-1111-1-1-1-111-11-1-1-1111
χ1111-1-111111-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-111-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-11111-1-1-11-1-1-1111
χ1211-1-111111-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-111-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-11-11-1-111-1-1111-1111-1-1-1
χ1311-1-111111-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111111-11-11-11-1-11-111-11-11-11-1-1-111-1-1111-1-1-11-111
χ1411-1-111111-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-11-111-11-1-111-1-11-1-11111-1-1-1111-11-1-1
χ1511-1-111111-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111-111-1-111-11-1-11-111-1-111-111-1-1-1-111-1111-11-1-1
χ1611-1-111111-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111-11-11-11-111-11-1-11-11-11-1111-1-111-1-11-1-1-11-111
χ1722222222-12222-122-1-1-12-12-1-1-1-12-1222-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100220022002200-1-100-1-10000-1-1-1-100000000
χ1822222222-12222-122-1-1-12-12-1-1-1-12-1222-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100-2-200-2-200-2-2001100110000111100000000
χ1922222222-12222-122-1-1-12-12-1-1-1-12-1222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2111111-2-21111110022002200-2-200-1-100-1-10000111100000000
χ2022222222-12222-122-1-1-12-12-1-1-1-12-1222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2111111-2-211111100-2-200-2-20022001100110000-1-1-1-100000000
χ212222222-12222-12-1-122-1-12-12-1-1-1-12-1-1-1222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1220022002200-1-100-1-100-1-1-1-1000000000000
χ222222222-12222-12-1-122-1-12-12-1-1-1-12-1-1-1222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-200-2-200-2-200110011001111000000000000
χ232222222-12222-12-1-122-1-12-12-1-1-1-12-1-1-1222-1-1-1-1-2-2-1-1-1-111-2-2111111-2-2111122002200-2-200-1-100-1-1001111000000000000
χ242222222-12222-12-1-122-1-12-12-1-1-1-12-1-1-1222-1-1-1-1-2-2-1-1-1-111-2-2111111-2-21111-2-200-2-200220011001100-1-1-1-1000000000000
χ2522222-2-2222-2-22222222-2-222222-2-22-2-22-2-2222200-2-2-2-2000000000000000000000000000000000000000000002-200-2200
χ2622222-2-2222-2-22222222-2-222222-2-22-2-22-2-2222200-2-2-2-200000000000000000000000000000000000000000000-22002-200
χ272222-22-222-22-222222222-2-2-22-2-2-22-22-2-22-222-2-2002-22-200000000000000002-200-220000002-200-22000000000000000000
χ282222-22-222-22-222222222-2-2-22-2-2-22-22-2-22-222-2-2002-22-20000000000000000-22002-2000000-22002-2000000000000000000
χ292222-22-2-12-22-2-12-1-122-1-1-21-2-111121-11-22-2-1-11100-11-113−30033−3−33−30033−3−32-200-22000000-11001-1003−33−3000000000000
χ302222-22-2-12-22-2-12-1-122-1-1-21-2-111121-11-22-2-1-11100-11-113−30033−3−33−30033−3−3-22002-20000001-100-1100−33−33000000000000
χ312222-22-2-12-22-2-12-1-122-1-1-21-2-111121-11-22-2-1-11100-11-11−3300−3−333−3300−3−3332-200-22000000-11001-100−33−33000000000000
χ322222-22-2-12-22-2-12-1-122-1-1-21-2-111121-11-22-2-1-11100-11-11−3300−3−333−3300−3−333-22002-20000001-100-11003−33−3000000000000
χ332222-2-2222-2-222222222-22-2-22-2-22-2-2-22-2-2222-2-200-22-220000000000000000002-200-220000002-200-220000000000000000
χ342222-2-2222-2-222222222-22-2-22-2-22-2-2-22-2-2222-2-200-22-22000000000000000000-22002-2000000-22002-20000000000000000
χ352222-2-222-1-2-222-122-1-1-1-2-1-21-11121-2-2211-1-1-111001-11-1003−33−33−3003−33−33−3002-200-22000000-11001-100003−33−300000000
χ362222-2-222-1-2-222-122-1-1-1-2-1-21-11121-2-2211-1-1-111001-11-1003−33−33−3003−33−33−300-22002-20000001-100-110000−33−3300000000
χ372222-2-222-1-2-222-122-1-1-1-2-1-21-11121-2-2211-1-1-111001-11-100−33−33−3300−33−33−33002-200-22000000-11001-10000−33−3300000000
χ382222-2-222-1-2-222-122-1-1-1-2-1-21-11121-2-2211-1-1-111001-11-100−33−33−3300−33−33−3300-22002-20000001-100-1100003−33−300000000
χ3922-2-22222-1-2-2-22-1-2-211-12-12-1-1-1-12-1-2-2-211111112-2-1-11122-1-1-1-1-1-1-2-2111111002-2002-2002-200-1100-110000-1-11100000000
χ4022-2-22222-1-2-2-22-1-2-211-12-12-1-1-1-12-1-2-2-211111112-2-1-11122-1-1-1-1-1-1-2-211111100-2200-2200-22001-1001-1000011-1-100000000
χ4122-2-22222-1-2-2-22-1-2-211-12-12-1-1-1-12-1-2-2-21111111-22-1-111-2-211111122-1-1-1-1-1-1002-2002-200-2200-1100-11000011-1-100000000
χ4222-2-22222-1-2-2-22-1-2-211-12-12-1-1-1-12-1-2-2-21111111-22-1-111-2-211111122-1-1-1-1-1-100-2200-22002-2001-1001-10000-1-11100000000
χ4322-2-2222-12-2-2-2-1211-2-2-1-12-12-1-1-1-12111-2-2-211112-2-1-111-1-122-1-1-1-111-2-211112-2002-2002-200-1100-1100-1-111000000000000
χ4422-2-2222-12-2-2-2-1211-2-2-1-12-12-1-1-1-12111-2-2-211112-2-1-111-1-122-1-1-1-111-2-21111-2200-2200-22001-1001-10011-1-1000000000000
χ4522-2-2222-12-2-2-2-1211-2-2-1-12-12-1-1-1-12111-2-2-21111-22-1-11111-2-21111-1-122-1-1-1-12-2002-200-2200-1100-110011-1-1000000000000
χ4622-2-2222-12-2-2-2-1211-2-2-1-12-12-1-1-1-12111-2-2-21111-22-1-11111-2-21111-1-122-1-1-1-1-2200-22002-2001-1001-100-1-111000000000000
χ4722-2-22-2-222-22222-2-2-2-22-2-222222-2-2-222-222-2-2-2-200-2-222000000000000000000000000000000000000000000002200-2-200
χ4822-2-22-2-222-22222-2-2-2-22-2-222222-2-2-222-222-2-2-2-200-2-22200000000000000000000000000000000000000000000-2-2002200
χ4922-2-2-22-2222-2222-2-2-2-222-2-2-22-2-2-222-222-22-2-222002-2-2200000000000000002200-2-20000002200-2-2000000000000000000
χ5022-2-2-22-2222-2222-2-2-2-222-2-2-22-2-2-222-222-22-2-222002-2-220000000000000000-2-20022000000-2-20022000000000000000000
χ5122-2-2-22-2-122-22-1211-2-2-1-1-21-2-11112-11-12-2211-1-100-111-13−30033−3−3−3300−3−3332200-2-2000000-1-10011003−3−33000000000000
χ5222-2-2-22-2-122-22-1211-2-2-1-1-21-2-11112-11-12-2211-1-100-111-13−30033−3−3−3300−3−333-2-200220000001100-1-100−333−3000000000000
χ5322-2-2-22-2-122-22-1211-2-2-1-1-21-2-11112-11-12-2211-1-100-111-1−3300−3−3333−30033−3−32200-2-2000000-1-1001100−333−3000000000000
χ5422-2-2-22-2-122-22-1211-2-2-1-1-21-2-11112-11-12-2211-1-100-111-1−3300−3−3333−30033−3−3-2-200220000001100-1-1003−3−33000000000000
χ5522-2-2-2-222222-222-2-2-2-22-22-2-22-2-22-222-222-2-2-22200-222-20000000000000000002200-2-20000002200-2-20000000000000000
χ5622-2-2-2-222222-222-2-2-2-22-22-2-22-2-22-222-222-2-2-22200-222-2000000000000000000-2-20022000000-2-200220000000000000000
χ5722-2-2-2-222-122-22-1-2-211-1-2-1-21-1112122-2-1-1111-1-1001-1-11003−33−33−300−33−33−33002200-2-2000000-1-1001100003−3−3300000000
χ5822-2-2-2-222-122-22-1-2-211-1-2-1-21-1112122-2-1-1111-1-1001-1-11003−33−33−300−33−33−3300-2-200220000001100-1-10000−333−300000000
χ5922-2-2-2-222-122-22-1-2-211-1-2-1-21-1112122-2-1-1111-1-1001-1-1100−33−33−33003−33−33−3002200-2-2000000-1-100110000−333−300000000
χ6022-2-2-2-222-122-22-1-2-211-1-2-1-21-1112122-2-1-1111-1-1001-1-1100−33−33−33003−33−33−300-2-200220000001100-1-100003−3−3300000000
χ614444444-2-2444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-21111441111-2-2-2-21111-2-2-2-21111000000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-21111-4-411112222-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ6344444-4-44-24-4-44-244-2-2-2-424-2-2-2-2-424-4-4-222-2-2-2-20022220000000000000000000000000000000000000000000000000000
χ6444444-4-4-244-4-4-24-2-244-22-4-24-2-2-22-4-2224-4-4-2-2-2-20022220000000000000000000000000000000000000000000000000000
χ6544444-4-4-2-24-4-4-2-2-2-2-2-2122-2-211122-222-222111100-1-1-1-100003-3-3300003-3-33000000000000000000000000000000000000
χ6644444-4-4-2-24-4-4-2-2-2-2-2-2122-2-211122-222-222111100-1-1-1-10000-333-30000-333-3000000000000000000000000000000000000
χ674444-44-44-2-44-44-244-2-2-242-42-222-4-2-44-42-22-2-22200-22-220000000000000000000000000000000000000000000000000000
χ684444-44-4-2-2-44-4-2-2-2-2-2-21-22221-1-12-22-222-2211-1-1001-11-123−2300−3−33323−2300−3−333000000000000000000000000000000000000
χ694444-44-4-2-2-44-4-2-2-2-2-2-21-22221-1-12-22-222-2211-1-1001-11-1−23230033−3−3−23230033−3−3000000000000000000000000000000000000
χ704444-4-44-24-4-44-24-2-244-2242-4-222-2-422-2-4-44-2-222002-22-20000000000000000000000000000000000000000000000000000
χ714444-4-44-2-2-4-44-2-2-2-2-2-212-2221-1-1-2222-222-211-1-100-11-110023−23−33−330023−23−33−33000000000000000000000000000000000000
χ724444-4-44-2-2-4-44-2-2-2-2-2-212-2221-1-1-2222-222-211-1-100-11-1100−23233−33−300−23233−33−3000000000000000000000000000000000000
χ7344-4-4444-2-2-4-4-4-2-222221-2-2-2-2111-2-2222222-1-1-1-14-411-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000000000
χ7444-4-4444-2-2-4-4-4-2-222221-2-2-2-2111-2-2222222-1-1-1-1-4411-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000000000
χ7544-4-44-4-44-2-4444-2-4-422-2-424-2-2-2-2-42-4442-2-222220022-2-20000000000000000000000000000000000000000000000000000
χ7644-4-44-4-4-24-444-2422-4-4-22-4-24-2-2-22-42-2-2-44422220022-2-20000000000000000000000000000000000000000000000000000
χ7744-4-44-4-4-2-2-444-2-22222122-2-2111222-2-22-2-2-1-1-1-100-1-11100003-3-330000-333-3000000000000000000000000000000000000
χ7844-4-44-4-4-2-2-444-2-22222122-2-2111222-2-22-2-2-1-1-1-100-1-1110000-333-300003-3-33000000000000000000000000000000000000
χ7944-4-4-44-44-24-444-2-4-422-242-42-222-4-24-44-22-222-2-200-222-20000000000000000000000000000000000000000000000000000
χ8044-4-4-44-4-2-24-44-2-222221-22221-1-12-2-22-2-22-2-1-111001-1-1123−2300−3−333−23230033−3−3000000000000000000000000000000000000
χ8144-4-4-44-4-2-24-44-2-222221-22221-1-12-2-22-2-22-2-1-111001-1-11−23230033−3−323−2300−3−333000000000000000000000000000000000000
χ8244-4-4-4-44-2444-4-2422-4-4-2242-4-222-2-4-2-2244-422-2-2002-2-220000000000000000000000000000000000000000000000000000
χ8344-4-4-4-44-2-244-4-2-2222212-2221-1-1-22-2-22-2-22-1-11100-111-10023−23−33−3300−23233−33−3000000000000000000000000000000000000
χ8444-4-4-4-44-2-244-4-2-2222212-2221-1-1-22-2-22-2-22-1-11100-111-100−23233−33−30023−23−33−33000000000000000000000000000000000000
χ854-44i−4i00044000-4-44i−4i4i−4i40000-400000000004i−4i0000000000000000000000000000000000000000000000000000002-2002i−2i
χ864-44i−4i00044000-4-44i−4i4i−4i40000-400000000004i−4i000000000000000000000000000000000000000000000000000000-2200−2i2i
χ874-4−4i4i00044000-4-4−4i4i−4i4i40000-40000000000−4i4i0000000000000000000000000000000000000000000000000000002-200−2i2i
χ884-4−4i4i00044000-4-4−4i4i−4i4i40000-40000000000−4i4i000000000000000000000000000000000000000000000000000000-22002i−2i
χ898-88i−8i0008-4000-848i−8i−4i4i-4000040000000000−4i4i000000000000000000000000000000000000000000000000000000000000
χ908-88i−8i000-480004-8−4i4i8i−8i-4000040000000000−4i4i000000000000000000000000000000000000000000000000000000000000
χ918-88i−8i000-4-400044−4i4i−4i4i20000-26-6000000002i−2i6i−6i0000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-400044−4i4i−4i4i20000-2-66000000002i−2i−6i6i0000000000000000000000000000000000000000000000000000000000
χ938-8−8i8i0008-4000-84−8i8i4i−4i-40000400000000004i−4i000000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i000-480004-84i−4i−8i8i-40000400000000004i−4i000000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-4000444i−4i4i−4i20000-26-600000000−2i2i−6i6i0000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-4000444i−4i4i−4i20000-2-6600000000−2i2i6i−6i0000000000000000000000000000000000000000000000000000000000

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