Finite Group Databasebeta

← Group #72274498

Character table — Group #72274498

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222334444466666888812121212121212121216161616161616181818182424242424242424242432323232323232323636363636363636363648484848484848487272727296969696
order1223446222461212244663661222246881212366121212122244224468888126666121212122224444488661212242424242444662424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111-1-111-1-11111111111111-1-1-1-11-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-111-1-1111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ5111111111-1-1111111111-11-1-111-11-1-111111111111111111-1-1-1-1-1-1-11-1-1-11-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-1
χ6111111111-1-1111111111-11-1-111-11-1-1111111111-1-1-1-1-1-1-1-1-11111-1-11-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ7111111111-1-1111111111-11-1-1-1-1-11111111111111111-1-1-1-1-11111-1-11-1-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ8111111111-1-1111111111-11-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111
χ911-11-111111-1-1-11-1-1111111-111-1-1-11-1-111-11-1-1-1111111-11-111-11-1-11-111-11-1-11-1-11-11-1-11-11-11-11-11-11-1-111-11-1
χ1011-11-111111-1-1-11-1-1111111-111-1-1-11-1-111-11-1-1-11-1-1-1-1-11-111-11-11-11-111-11-1-11-11-11-1111-1-11-11-11-11-111-11-11-1
χ1111-11-111111-1-1-11-1-1111111-11-11-1-1-11-111-11-1-1-111111-11-111-11-11-11-111-11-1-1-11-11-11-1-1-11-11-11-11-111-1-11-11-11
χ1211-11-111111-1-1-11-1-1111111-11-11-1-1-11-111-11-1-1-11-1-1-1-11-11-111-11-1-11-111-11-1-1-111-11-111-111-11-11-11-1-111-1-11-11
χ1311-11-11111-11-1-11-1-11111-111-11-11-1-11-111-11-1-1-1111111-11-1-1-11-111-1-1-1-111111-1-11-11-1-1-111-11-1-11-11-111-11-1-11
χ1411-11-11111-11-1-11-1-11111-111-11-11-1-11-111-11-1-1-11-1-1-1-1-11-11-11-11-11-1-1-1-111111-11-11-111-11-11-111-11-11-1-111-1-11
χ1511-11-11111-11-1-11-1-11111-111-1-111-11-1-111-11-1-1-111111-11-11-11-11-11-1-1-1-11111-11-11-11-1-11-1-11-111-11-1-111-1-111-1
χ1611-11-11111-11-1-11-1-11111-111-1-111-11-1-111-11-1-1-11-1-1-1-11-11-1-1-11-111-1-1-1-11111-111-11-1111-11-11-1-11-111-1-11-111-1
χ172222222222222222222-12-12222222222-1-1-1-1-1-1-100000000200002-1-1-1-1-1-1-1-12200000022000000000000-1-1-1-1
χ182222222222222222222-12-122-2-222-2-222-1-1-1-1-1-1-100000000200002-1-1-1-1-1-1-1-1-2-2000000-2-20000000000001111
χ19222222222-2-222222222-1-2-1-2-222-22-2-222-1-1-1-1-1-1-100000000-20000-21-1111-11122000000-2-2000000000000-1-111
χ20222222222-2-222222222-1-2-1-2-2-2-2-222222-1-1-1-1-1-1-100000000-20000-21-1111-111-2-20000002200000000000011-1-1
χ212222-2-2222002-2-22-2-22220200000200-2-2222-2-2-2-22222000000000002000-200002-2-2-2-22000000000000000000
χ222222-2-2222002-2-22-2-22220200000200-2-2222-2-2-2-2-2-2-2-2000000000002000-20000-22222-2000000000000000000
χ23222-122-12222-1-1-1222-1-12-12-12002-100-1-1-12-12-1-1200002222-12222-12-1-1-12-1-1-10000000000-1-1-1-1-1-1-1-100000000
χ24222-122-12222-1-1-1222-1-12-12-12002-100-1-1-12-12-1-120000-2-2-2-2-1-2-2-2-2-12-1-1-12-1-1-100000000001111111100000000
χ25222-122-122-2-2-1-1-1222-1-12121-200-2-100-1-1-12-12-1-12000022221-2-2-2-21-2-111-2-1110000000000-1-1-1-1111100000000
χ26222-122-122-2-2-1-1-1222-1-12121-200-2-100-1-1-12-12-1-120000-2-2-2-2122221-2-111-2-11100000000001111-1-1-1-100000000
χ2722-222-222200-22-2-22-22220200000-2002-22-22222-2222200000000000-2000-20000-2-22-22-2000000000000000000
χ2822-222-222200-22-2-22-22220200000-2002-22-22222-2-2-2-2-200000000000-2000-2000022-22-22000000000000000000
χ2922-22-222222-2-2-22-2-2222-12-1-222-2-2-22-2-22-11-1111-10000000020000-2-11-1-11-1112-20000002-2000000000000-11-11
χ3022-22-222222-2-2-22-2-2222-12-1-22-22-2-2-22-22-11-1111-10000000020000-2-11-1-11-111-22000000-220000000000001-11-1
χ3122-22-22222-22-2-22-2-2222-1-2-12-22-22-2-22-22-11-1111-100000000-2000021111-1-1-1-12-2000000-22000000000000-111-1
χ3222-22-22222-22-2-22-2-2222-1-2-12-2-222-22-2-22-11-1111-100000000-2000021111-1-1-1-1-220000002-20000000000001-1-11
χ3322-2-1-22-1222-211-1-2-22-1-12-121200-21001-1-1-2-1-211200002-22-2-12-22-2121-1-1-2-1110000000000-11-11-11-1100000000
χ3422-2-1-22-1222-211-1-2-22-1-12-121200-21001-1-1-2-1-21120000-22-22-1-22-22121-1-1-2-11100000000001-11-11-11-100000000
χ3522-2-1-22-122-2211-1-2-22-1-1212-1-20021001-1-1-2-1-211200002-22-21-22-22-1-21112-1-1-10000000000-11-111-11-100000000
χ3622-2-1-22-122-2211-1-2-22-1-1212-1-20021001-1-1-2-1-21120000-22-2212-22-2-1-21112-1-1-100000000001-11-1-11-1100000000
χ373333333-1-133333-1-1-1-1-10303-133-1-133-1-1000000011-1-111-1-1-111-1-1-100000000-1-1111-1-1-1-1-111-1-111-1-111-1-10000
χ383333333-1-133333-1-1-1-1-10303-133-1-133-1-10000000-1-111-1-111-1-1-111-100000000-1-1-1-1-1111-1-1-1-111-1-111-1-1110000
χ393333333-1-133333-1-1-1-1-10303-1-3-3-1-1-3-3-1-1000000011-1-1-1-111-1-1-111-10000000011111-1-1-111-1-111-1-11111-1-10000
χ403333333-1-133333-1-1-1-1-10303-1-3-3-1-1-3-3-1-10000000-1-11111-1-1-111-1-1-10000000011-1-1-11111111-1-111-1-1-1-1110000
χ413333333-1-1-3-3333-1-1-1-1-10-30-31331-1-3-3-1-1000000011-1-111-1-11-1-111100000000-1-1111-1-1-11111-1-1-1-111-1-1110000
χ423333333-1-1-3-3333-1-1-1-1-10-30-31331-1-3-3-1-10000000-1-111-1-111111-1-1100000000-1-1-1-1-111111-1-11111-1-111-1-10000
χ433333333-1-1-3-3333-1-1-1-1-10-30-31-3-31-133-1-1000000011-1-1-1-111111-1-110000000011111-1-1-1-1-1-1-11111-1-1-1-1110000
χ443333333-1-1-3-3333-1-1-1-1-10-30-31-3-31-133-1-10000000-1-11111-1-11-1-11110000000011-1-1-1111-1-111-1-1-1-11111-1-10000
χ4533-33-333-1-13-3-3-3311-1-1-1030-3-13-3113-31-1000000011-1-11-1-11-11-1-11100000000-11-11-1-111-111-1-111-1-111-11-10000
χ4633-33-333-1-13-3-3-3311-1-1-1030-3-13-3113-31-10000000-1-111-111-1-1-111-1100000000-111-111-1-1-11-111-1-111-1-11-110000
χ4733-33-333-1-13-3-3-3311-1-1-1030-3-1-3311-331-1000000011-1-1-111-1-1-111-11000000001-1-11-1-1111-1-111-1-111-11-11-10000
χ4833-33-333-1-13-3-3-3311-1-1-1030-3-1-3311-331-10000000-1-1111-1-11-11-1-111000000001-11-111-1-11-11-1-111-1-11-11-110000
χ4933-33-333-1-1-33-3-3311-1-1-10-30313-3-11-331-1000000011-1-11-1-111-111-1-100000000-11-11-1-1111-11-1-11-111-1-11-110000
χ5033-33-333-1-1-33-3-3311-1-1-10-30313-3-11-331-10000000-1-111-111-111-1-11-100000000-111-111-1-11-1-111-11-1-111-11-10000
χ5133-33-333-1-1-33-3-3311-1-1-10-3031-33-113-31-1000000011-1-1-111-111-1-11-1000000001-1-11-1-111-11-111-11-1-11-11-110000
χ5233-33-333-1-1-33-3-3311-1-1-10-3031-33-113-31-10000000-1-1111-1-111-111-1-1000000001-11-111-1-1-111-1-11-111-11-11-10000
χ534444-4-4444004-4-44-4-444-20-200000400-4-4-2-2-22222000000000000000-200020000000000000000000000000000
χ54444-244-24444-2-2-2444-2-2-2-2-2-24004-200-2-21-21-211-200000000-20000-2-2111-211100000000000000000000000000
χ55444-244-244-4-4-2-2-2444-2-2-22-22-400-4-200-2-21-21-211-20000000020000221-1-121-1-100000000000000000000000000
χ56444-2-4-4-24400-2224-4-4-2-240400000-20022-24-2-422-4000000000000000-200020000000000000000000000000000
χ57444-2-4-4-24400-2224-4-4-2-2-20-200000-200221-212-1-1200000000000000013-30-13-300000000000000000000000000
χ58444-2-4-4-24400-2224-4-4-2-2-20-200000-200221-212-1-120000000000000001-330-1-3300000000000000000000000000
χ5944-444-444400-44-4-44-444-20-200000-4004-4-22-2-2-2-22000000000000000200020000000000000000000000000000
χ6044-4-24-4-244002-22-44-4-2-240400000200-22-2-4-24-2-2-4000000000000000200020000000000000000000000000000
χ6144-4-24-4-244002-22-44-4-2-2-20-200000200-22121-2112000000000000000-13-30-1-3300000000000000000000000000
χ6244-4-24-4-244002-22-44-4-2-2-20-200000200-22121-2112000000000000000-1-330-13-300000000000000000000000000
χ6344-4-2-44-2444-422-2-4-44-2-2-2-2-22400-42002-21212-1-1-200000000-200002-2-11121-1-100000000000000000000000000
χ6444-4-2-44-244-4422-2-4-44-2-2-22-2-2-40042002-21212-1-1-20000000020000-22-1-1-1-211100000000000000000000000000
χ654-40400-4-4400000000-4440-4000000000040-400004-44-400000000000000000000000000000000000000000000
χ664-40400-4-4400000000-4440-4000000000040-40000-44-4400000000000000000000000000000000000000000000
χ676666-6-66-2-2006-6-6-222-2-200000000-20022000000022-2-2000000000000000000002-2-222-2000000000000000000
χ686666-6-66-2-2006-6-6-222-2-200000000-200220000000-2-22200000000000000000000-222-2-22000000000000000000
χ69666-366-3-2-266-3-3-3-2-2-2110-30-3-200-2100110000000000022-2-2122-2-21000000000000000000-1-111-1-11100000000
χ70666-366-3-2-266-3-3-3-2-2-2110-30-3-200-21001100000000000-2-2221-2-222100000000000000000011-1-111-1-100000000
χ71666-366-3-2-2-6-6-3-3-3-2-2-21103032002100110000000000022-2-2-1-2-222-1000000000000000000-1-11111-1-100000000
χ72666-366-3-2-2-6-6-3-3-3-2-2-211030320021001100000000000-2-222-122-2-2-100000000000000000011-1-1-1-11100000000
χ7366-666-66-2-200-66-62-22-2-200000000200-22000000022-2-200000000000000000000-2-222-22000000000000000000
χ7466-666-66-2-200-66-62-22-2-200000000200-220000000-2-2220000000000000000000022-2-22-2000000000000000000
χ7566-6-3-66-3-2-26-633-322-2110-303-2002-100-11000000000002-2-2212-2-22-1000000000000000000-111-1-111-100000000
χ7666-6-3-66-3-2-26-633-322-2110-303-2002-100-1100000000000-222-21-222-2-10000000000000000001-1-111-1-1100000000
χ7766-6-3-66-3-2-2-6633-322-211030-3200-2-100-11000000000002-2-22-1-222-21000000000000000000-111-11-1-1100000000
χ7866-6-3-66-3-2-2-6633-322-211030-3200-2-100-1100000000000-222-2-12-2-2210000000000000000001-1-11-111-100000000
χ798-80800-8-8800000000-88-4040000000000-4040000000000000000000000000000000000000000000000000000
χ808-80-4004-88000000004-480-80000000000-4040000000000000000000000000000000000000000000000000000
χ818-80-4004-88000000004-4-404000000000020-206i−6i0000000000000000000000000000000000000000000000000
χ828-80-4004-88000000004-4-404000000000020-20−6i6i0000000000000000000000000000000000000000000000000
χ83121212-6-12-12-6-4-400-666-4442200000000200-2-20000000000000000000000000000000000000000000000000000000
χ841212-12-612-12-6-4-4006-664-442200000000-2002-20000000000000000000000000000000000000000000000000000000
χ8512-1201200-124-4000000004-4000000000000000000004-4-4400000000000000000000000000000000000000000000
χ8612-1201200-124-4000000004-400000000000000000000-444-400000000000000000000000000000000000000000000
χ8724-240-1200128-800000000-4400000000000000000000000000000000000000000000000000000000000000000000

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