Finite Group Databasebeta

← Group #11872764

Character table — Group #11872764

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444444888888888812121212121212121212121216161616161616161818181824242424242424242424242424242424242436367272
order122233446666663446661212121212121212441212121212121212222244448888121212121212121244446666881212121224242424242424242422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-111-1-111111111-1-1-1-111-1-11-111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-111-1-11111111111-1-1-1-1-1-111-11-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-111
χ81111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1
χ9111111111111111-1-111111-1-1-1-1111-1-1-111-1-1-1-11111-1-1-1-111-1-11-11-111-1-1-1-1-1-11111-11-1-1-1-111-1-111-1-1111-1
χ10111111111111111-1-111111-1-1-1-1111-1-1-111-1-1-1-111-1-1-1-11111111-11-111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-11
χ11111111111111111-1-111111-1-1-1-1111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-11-111-1-11111-1-1111111-1-1-1-11111-1-1-1-1-11
χ12111111111111111-1-111111-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-11111-1-1111-11-111-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-111111-1
χ13111111111111111-1-111111-1-1-1-111-11-1-111-1-1-1-11111-1-1-1-1-1-111-11-11-1-111-1-1-1-111111-1-1-1-1-1-1-111-1-11111-11
χ14111111111111111-1-111111-1-1-1-111-11-1-111-1-1-1-111-1-1-1-111-1-1-1-1-11-11-1-111111111-1-111-1-111-1-11111-1-1-1-11-1
χ15111111111111111-1-111111-1-1-1-111-11-1-111-1-1-1-1-1-11111-1-11111-11-11-1-1111111-1-111-1-111-1-111-1-1-1-111-1-11-1
χ16111111111111111-1-111111-1-1-1-111-11-1-111-1-1-1-1-1-1-1-1111111-1-1-11-11-1-111-1-1-1-1-1-1-1-1-11111111-1-111-1-111-11
χ17222222-2-222222222-2222-2-222-2-2-2-2002-2-2-222-2-20000000000000000000022-2-20000000000000000002-200
χ18222222-2-222222222-2222-2-222-2-2-2-2002-2-2-222-2-200000000000000000000-2-222000000000000000000-2200
χ19222222-2-22222222-22222-2-2-2-222-2-200-22-2-2-2-2220000000000000000000022-2-2000000000000000000-2200
χ20222222-2-22222222-22222-2-2-2-222-2-200-22-2-2-2-22200000000000000000000-2-2220000000000000000002-200
χ2122222-1222-12-12-1-122-1-1-12-122-1-12-122-12-1-1-1-1-1-10022002200222-1-12-1-1-1-1000000-1-10200-1-10000-1-1-1-10000
χ2222222-1222-12-12-1-122-1-1-12-122-1-12-122-12-1-1-1-1-1-100-2-200-2-200-2-22-1-12-1-1-1-1000000110-20011000011110000
χ2322222-1222-12-12-1-122-1-1-12-122-1-12-1-2-2-12-1-1-1-1-1-10022002200-2-2-211-21111000000-1-10-200-1-1000011110000
χ2422222-1222-12-12-1-122-1-1-12-122-1-12-1-2-2-12-1-1-1-1-1-100-2-200-2-20022-211-21111000000110200110000-1-1-1-10000
χ2522222-1222-12-12-1-1-2-2-1-1-12-1-2-2112-12-21-2-1-11111002200-2-200-2-221-1-2-1-111000000-1-10200110000-1-1110000
χ2622222-1222-12-12-1-1-2-2-1-1-12-1-2-2112-12-21-2-1-1111100-2-20022002221-1-2-1-111000000110-200-1-1000011-1-10000
χ2722222-1222-12-12-1-1-2-2-1-1-12-1-2-2112-1-221-2-1-11111002200-2-20022-2-11211-1-1000000-1-10-20011000011-1-10000
χ2822222-1222-12-12-1-1-2-2-1-1-12-1-2-2112-1-221-2-1-1111100-2-2002200-2-2-2-11211-1-1000000110200-1-10000-1-1110000
χ292222-1222-12-12-12-122-1-1-1-12-1-122-12222-1-1-1-1-1-1-1220022002200-122-1-1-1-1-10000-1-10020-1-100-1-1-1-100000000
χ302222-1222-12-12-12-122-1-1-1-12-1-122-12222-1-1-1-1-1-1-1-2-200-2-200-2-200-122-1-1-1-1-100001100-201100111100000000
χ312222-1222-12-12-12-122-1-1-1-12-1-122-12-2-22-1-1-1-1-1-1-122002200-2-2001-2-2111110000-1-100-20-1-100111100000000
χ322222-1222-12-12-12-122-1-1-1-12-1-122-12-2-22-1-1-1-1-1-1-1-2-200-2-20022001-2-21111100001100201100-1-1-1-100000000
χ332222-1222-12-12-12-1-2-2-1-1-1-1211-2-2-122-2-21-1-111112200-2-2002200-1-221-1-1110000-1-100-201100-1-11100000000
χ342222-1222-12-12-12-1-2-2-1-1-1-1211-2-2-122-2-21-1-11111-2-2002200-2-200-1-221-1-1110000110020-1-10011-1-100000000
χ352222-1222-12-12-12-1-2-2-1-1-1-1211-2-2-12-22-21-1-111112200-2-200-2-20012-2-111-1-10000-1-10020110011-1-100000000
χ362222-1222-12-12-12-1-2-2-1-1-1-1211-2-2-12-22-21-1-11111-2-2002200220012-2-111-1-100001100-20-1-100-1-11100000000
χ3722-2-2222-222-2-2-2-22002-2-22-20000-2200002-200002-200002i−2i0000000000002i−2i2i−2i2-20000002i−2i000000000000
χ3822-2-2222-222-2-2-2-22002-2-22-20000-2200002-200002-20000−2i2i000000000000−2i2i−2i2i2-2000000−2i2i000000000000
χ3922-2-2222-222-2-2-2-22002-2-22-20000-2200002-20000-2200002i−2i000000000000−2i2i−2i2i-220000002i−2i000000000000
χ4022-2-2222-222-2-2-2-22002-2-22-20000-2200002-20000-220000−2i2i0000000000002i−2i2i−2i-22000000−2i2i000000000000
χ4122-2-222-2222-2-2-2-22002-2-2-2200002-20000-220000002-22i−2i000000000000002i−2i−2i2i002-2002i−2i00000000000000
χ4222-2-222-2222-2-2-2-22002-2-2-2200002-20000-220000002-2−2i2i00000000000000−2i2i2i−2i002-200−2i2i00000000000000
χ4322-2-222-2222-2-2-2-22002-2-2-2200002-20000-22000000-222i−2i00000000000000−2i2i2i−2i00-22002i−2i00000000000000
χ4422-2-222-2222-2-2-2-22002-2-2-2200002-20000-22000000-22−2i2i000000000000002i−2i−2i2i00-2200−2i2i00000000000000
χ4544444-2-4-44-24-24-2-24-4-2-2-2-424422-4200-2-422-2-2220000000000000000000000000000000000000000000000
χ4644444-2-4-44-24-24-2-2-44-2-2-2-42-4-4-2-2-4200242222-2-20000000000000000000000000000000000000000000000
χ474444-24-4-4-24-24-24-24-4-2-2-22-4-2-2-4-42-4004222-2-2220000000000000000000000000000000000000000000000
χ484444-24-4-4-24-24-24-2-44-2-2-22-422442-400-4-22222-2-20000000000000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-244-2-2111111000000000000-2-2-2-2111100000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-2-4-4-2-21111110000000000002222-1-1-1-100000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-4111-2-22222-2-24-42211-1-1-1-1000000000000-22-2211-1-100000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-2-22222-2-2-442211-1-1-1-10000000000002-22-2-1-11100000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-214-411122-2-2222200-22-1-111-1-100000000000000003-33-300000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-214-411122-2-2222200-22-1-111-1-10000000000000000-33-3300000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-21-441112222-2-222002-2-1-1-1-11100000000000000003-3-3300000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-21-441112222-2-222002-2-1-1-1-1110000000000000000-333-300000000000000000000000000
χ5744-4-44-24-44-2-42-42-200-222420000-4-20000-2200000000004i−4i000000000000000000000000−2i2i000000000000
χ5844-4-44-24-44-2-42-42-200-222420000-4-20000-220000000000−4i4i0000000000000000000000002i−2i000000000000
χ5944-4-44-2-444-2-42-42-200-222-4-200004200002-20000004-40000000000000000000000-22000000000000000000
χ6044-4-44-2-444-2-42-42-200-222-4-200004200002-2000000-4400000000000000000000002-2000000000000000000
χ6144-4-4-244-4-242-42-4-200-222-2-40000240000-2200004-40000000000000000000000-2200000000000000000000
χ6244-4-4-244-4-242-42-4-200-222-2-40000240000-220000-4400000000000000000000002-200000000000000000000
χ6344-4-4-24-44-242-42-4-200-222240000-2-400002-2000000004i−4i000000000000000000000000−2i2i00000000000000
χ6444-4-4-24-44-242-42-4-200-222240000-2-400002-200000000−4i4i0000000000000000000000002i−2i00000000000000
χ654-44-44400-4-44-4-44400-44-40000000000000000000000000022−2200000000000000000000000022−220000000000
χ664-44-44400-4-44-4-44400-44-400000000000000000000000000−2222000000000000000000000000−22220000000000
χ674-44-4-24002-4-2-424-2002-220023−23000000000023−23000000000022−22000000000000000000000000−226−600000000
χ684-44-4-24002-4-2-424-2002-220023−23000000000023−230000000000−22220000000000000000000000002−2−6600000000
χ694-44-4-24002-4-2-424-2002-2200−23230000000000−2323000000000022−22000000000000000000000000−22−6600000000
χ704-44-4-24002-4-2-424-2002-2200−23230000000000−23230000000000−22220000000000000000000000002−26−600000000
χ714-4-444400-4-4-444-4400-4-44000000000000000000000000000022−22000000000000000000000000000022−220000
χ724-4-444400-4-4-444-4400-4-440000000000000000000000000000−22220000000000000000000000000000−22220000
χ734-4-444-200-42-4-242-20022-2000023−23000000000023−23000000000022−22000000000000000000000000006−6−220000
χ744-4-444-200-42-4-242-20022-2000023−23000000000023−230000000000−222200000000000000000000000000−662−20000
χ754-4-444-200-42-4-242-20022-20000−23230000000000−2323000000000022−2200000000000000000000000000−66−220000
χ764-4-444-200-42-4-242-20022-20000−23230000000000−23230000000000−2222000000000000000000000000006−62−20000
χ7788-8-8-4-48-8-4-444442002-2-2-4400004-400002-200000000000000000000000000000000000000000000000000
χ7888-8-8-4-4-88-4-444442002-2-24-40000-440000-2200000000000000000000000000000000000000000000000000
χ798-88-88-400-8484-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-40044-444-4200-22-20043−430000000000−2323000000000000000000000000000000000000000000000000
χ818-88-8-4-40044-444-4200-22-200−4343000000000023−23000000000000000000000000000000000000000000000000
χ828-8-88-48004-848-4-8-40044-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400444-4-44200-2-22000043−430000000000−23230000000000000000000000000000000000000000000000
χ848-8-88-4-400444-4-44200-2-220000−4343000000000023−230000000000000000000000000000000000000000000000

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