Finite Group Databasebeta

← Group #11865346

Character table — Group #11865346

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1122222224444444444666666888888888888812121212121212121216161616161616162424242424242424242424242424242436363636487272
order12222336623466666662222664466666121212121212222444666612121212121212444466612121212121212121222441224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-11-1-111111111111-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111-1-11111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1
χ41111111111111111111111111-1-11111111-1-1-1-11-1-11-1-111111-1-1-1-1-1-11-1-11-1-111-1-111-1-1-1-1-1-1-1-1111
χ51111111111111111111-1-1-1-1-1-11111111111111-111-111-1-1-1111111111-1-1111-1-11111-1-1-1-1-1-1-1-11-1-1
χ61111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ71111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-111-1-1-111-1-1-1-1-1-1-111-111-1-111-1-11111-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111111-1-1
χ9111111111-11-111111111111111-1-1-1111-1-111-1-1-11-1-11-1111-1-11-111-1-111-1-11-1-1-11-11111-1-11-11-1-11-1
χ10111111111-11-111111111111111-1-1-1111-1-111-1-1-1-11-1-11111-1-11-111-1-1-11-11-11-1-1-11-1-111-1-1-11-111-11
χ11111111111-11-11111111111111-11-1-1111-1-1-1-111-11-1-11-1111-1-1-11-1-111-1-1111-1-1-11-1-1-1-1-1111-11-11-11
χ12111111111-11-11111111111111-11-1-1111-1-1-1-111-1-11-1-11111-1-1-11-1-1111-11-1-11-1-1-1111-1-111-11-11-11-1
χ13111111111-11-11111111-1-1-1-1-1-11-1-1-1111-1-111-1-111-111-1-1-1-1-1-11-111-1-11-11-11-1111-111-1-111-11-11-1-11
χ14111111111-11-11111111-1-1-1-1-1-11-1-1-1111-1-111-1-11-111-11-1-1-1-1-11-111-1-1-1-111-1111-11-1-1-1-1111-11-111-1
χ15111111111-11-11111111-1-1-1-1-1-1-11-1-1111-1-1-1-11111-111-1-1-1-1-1-1-11-1-111-11-111-1111-1-1-111-1-1-11-1111-1
χ16111111111-11-11111111-1-1-1-1-1-1-11-1-1111-1-1-1-1111-111-11-1-1-1-1-1-11-1-11111-1-1-1111-111111-1-11-11-1-1-11
χ17222222-1-122-12-122-12-1-12222-1-1222-1-1-1-1-12-1-1-1-1200200-1-1-1-1-122-1-1-1-1022000-1-10000-1-1-1-10000000
χ18222222-1-122-12-122-12-1-12222-1-1-2-22-1-1-1-1-121111200200-1-1-1-1-1-2-211110-2-2000-1-1000011110000000
χ19222222-1-122-12-122-12-1-1-2-2-2-211222-1-1-1-1-12-1-1-1-1-200-200111-1-122-1-1-1-10-2-200011000011110000000
χ20222222-1-122-12-122-12-1-1-2-2-2-211-2-22-1-1-1-1-121111-200-200111-1-1-2-21111022000110000-1-1-1-10000000
χ21222222-1-12-2-1-2-122-12-1-12222-1-12-2-21-1-1-11-2-1-111-200-200-1-1-1112-2-1-11102-2000110000-1-1110000000
χ22222222-1-12-2-1-2-122-12-1-12222-1-1-22-21-1-1-11-211-1-1-200-200-1-1-111-2211-1-10-2200011000011-1-10000000
χ23222222-1-12-2-1-2-122-12-1-1-2-2-2-2112-2-21-1-1-11-2-1-111200200111112-2-1-1110-22000-1-1000011-1-10000000
χ24222222-1-12-2-1-2-122-12-1-1-2-2-2-211-22-21-1-1-11-211-1-120020011111-2211-1-102-2000-1-10000-1-1110000000
χ2522222-122-12-122-1-1-1-12200000022-12-1-1-12-12222022022000-1-1-1-1-1-1-1-12002-1-100-1-1-1-100000000-100
χ2622222-122-12-122-1-1-1-12200000022-12-1-1-12-122220-2-20-2-2000-1-1-1-1-1-1-1-1-200-21100111100000000100
χ2722222-122-12-122-1-1-1-122000000-2-2-12-1-1-12-1-2-2-2-2022022000-1-1111111-200-2-1-100-1-11100000000100
χ2822222-122-12-122-1-1-1-122000000-2-2-12-1-1-12-1-2-2-2-20-2-20-2-2000-1-11111112002110011-1-100000000-100
χ2922222-122-1-2-1-22-1-1-1-1220000002-21-2-1-1-1-2122-2-202-202-200011-11-1-111200-2-1100-11-1-100000000100
χ3022222-122-1-2-1-22-1-1-1-1220000002-21-2-1-1-1-2122-2-20-220-2200011-11-1-111-20021-1001-11100000000-100
χ3122222-122-1-2-1-22-1-1-1-122000000-221-2-1-1-1-21-2-22202-202-2000111-111-1-1-2002-1100-111100000000-100
χ3222222-122-1-2-1-22-1-1-1-122000000-221-2-1-1-1-21-2-2220-220-22000111-111-1-1200-21-1001-1-1-100000000100
χ33222-2-22222020-22-22-22-222-2-2220000-22-20000000200-202-2-20000000000002000-20000000-2020000
χ34222-2-22222020-22-22-22-222-2-2220000-22-20000000-200202-2-2000000000000-20002000000020-20000
χ35222-2-22222020-22-22-22-2-2-222-2-20000-22-20000000200-20-2220000000000002000-2000000020-20000
χ36222-2-22222020-22-22-22-2-2-222-2-20000-22-20000000-20020-222000000000000-200020000000-2020000
χ3722-22-22222020-2-222-2-222-22-2220000-2-2200000000200-2-22-200000000000002000-20000000-202000
χ3822-22-22222020-2-222-2-222-22-2220000-2-2200000000-2002-22-20000000000000-20002000000020-2000
χ3922-22-22222020-2-222-2-22-22-22-2-20000-2-2200000000200-22-2200000000000002000-2000000020-2000
χ4022-22-22222020-2-222-2-22-22-22-2-20000-2-2200000000-20022-220000000000000-200020000000-202000
χ4122-2-22222222-22-2-222-2-22-2-222200222-2-2-2-20000200-200-2-222-20000000000002-2000000000000000
χ4222-2-22222222-22-2-222-2-2-222-2-2-200222-2-2-2-20000-20020022-22-2000000000000-22000000000000000
χ4322-2-222222-2222-2-222-2-22-2-222200-2-22-2-2220000-200200-2-22-22000000000000-22000000000000000
χ4422-2-222222-2222-2-222-2-2-222-2-2-200-2-22-2-2220000200-20022-2-220000000000002-2000000000000000
χ4522-2-222-1-122-1-2-1-2-2-12112-2-22-1-1002-1-1111-23−33−3200-20011-1-11003−33−3000000-1100003−33−30000000
χ4622-2-222-1-122-1-2-1-2-2-12112-2-22-1-1002-1-1111-2−33−33200-20011-1-1100−33−33000000-110000−33−330000000
χ4722-2-222-1-122-1-2-1-2-2-1211-222-211002-1-1111-23−33−3-200200-1-11-11003−33−30000001-10000−33−330000000
χ4822-2-222-1-122-1-2-1-2-2-1211-222-211002-1-1111-2−33−33-200200-1-11-1100−33−330000001-100003−33−30000000
χ4922-2-222-1-12-2-12-1-2-2-12112-2-22-1-100-21-111-123−3−33-20020011-11-1003−3−330000001-100003−3−330000000
χ5022-2-222-1-12-2-12-1-2-2-12112-2-22-1-100-21-111-12−333−3-20020011-11-100−333−30000001-10000−333−30000000
χ5122-2-222-1-12-2-12-1-2-2-1211-222-21100-21-111-123−3−33200-200-1-111-1003−3−33000000-110000−333−30000000
χ5222-2-222-1-12-2-12-1-2-2-1211-222-21100-21-111-12−333−3200-200-1-111-100−333−3000000-1100003−3−330000000
χ5344444-2-2-2-2414-2-2-21-2-2-200000044-2-2111-2-2-2-2-2-200000000011-2-2111100000000000000000000000
χ5444444-2-2-2-2414-2-2-21-2-2-2000000-4-4-2-2111-2-222220000000001122-1-1-1-100000000000000000000000
χ5544444-2-2-2-2-41-4-2-2-21-2-2-20000004-42211122-2-222000000000-1-1-2211-1-100000000000000000000000
χ5644444-2-2-2-2-41-4-2-2-21-2-2-2000000-44221112222-2-2000000000-1-12-2-1-11100000000000000000000000
χ57444-4-44-2-240-2024-4-2-4-2244-4-4-2-200002-22000000000000-2220000000000000000000000000000000
χ58444-4-44-2-240-2024-4-2-4-22-4-4442200002-220000000000002-2-20000000000000000000000000000000
χ59444-4-4-244-20-20-4-22-224-400000000002-220000000400-40000000000000000-2000200000000000000
χ60444-4-4-244-20-20-4-22-224-400000000002-220000000-400400000000000000002000-200000000000000
χ6144-44-44-2-240-202-44-2-42-24-44-4-2-2000022-20000000000002-220000000000000000000000000000000
χ6244-44-44-2-240-202-44-2-42-2-44-4422000022-2000000000000-22-20000000000000000000000000000000
χ6344-44-4-244-20-20-42-2-22-44000000000022-200000000400-40000000000000000-200020000000000000
χ6444-44-4-244-20-20-42-2-22-44000000000022-200000000-400400000000000000002000-20000000000000
χ6544-4-44-244-24-2-4422-2-2-4-400000000-24-222-420000000000000-2200000000000000000000000000000
χ6644-4-44-244-2-4-24422-2-2-4-4000000002-4-2224-200000000000002-200000000000000000000000000000
χ6744-4-44-2-2-2-241-4-2221-22200000000-2-21-1-12223−2323−230000000001-100−33−3300000000000000000000000
χ6844-4-44-2-2-2-241-4-2221-22200000000-2-21-1-122−2323−23230000000001-1003−33−300000000000000000000000
χ6944-4-44-2-2-2-2-414-2221-22200000000221-1-1-2-223−23−2323000000000-1100−333−300000000000000000000000
χ7044-4-44-2-2-2-2-414-2221-22200000000221-1-1-2-2−232323−23000000000-11003−3−3300000000000000000000000
χ71888-8-8-4-4-4-40204-4424-440000000000-22-20000000000000000000000000000000000000000000000
χ7288-88-8-4-4-4-402044-4244-40000000000-2-220000000000000000000000000000000000000000000000
χ738-800088-8-8080000-800000000000000000000000000000000000000000000000000000000000000
χ748-80008-44-80-4000040000000−4i34i300000000000000000000000000000000000000000000000000000
χ758-80008-44-80-40000400000004i3−4i300000000000000000000000000000000000000000000000000000
χ768-8000-48-840-400004000000000000000000000000000000000000000000000000023−2300000000000
χ778-8000-48-840-4000040000000000000000000000000000000000000000000000000−232300000000000
χ7816-16000-8-888040000-400000000000000000000000000000000000000000000000000000000000000

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