Finite Group Databasebeta

← Group #11795351

Character table — Group #11795351

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order1222223344446666661212121236666666121212121212121212126688121224242424242424242424242424242424888824242424242424244444881212121212121212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1
χ922222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000000000000000000000000000000000002i−2i
χ1022222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000000000000000000000000000−2i2i
χ112222222-12222222-1-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000222200-1-1-1-1-1-1-1-100000000
χ122222222-12222222-1-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-12-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2001111111100000000
χ132222222-12222222-1-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-12-1-1-2-2-1-1-2-2-2-211111111111100000000000022-2-20011-1-1-1-11100000000
χ142222222-12222222-1-1-12222-122-1-1-1-1-12-1-1-1-1-1-1-1-12-1-1-2-2-1-1-2-2-2-2111111111111000000000000-2-22200-1-11111-1-100000000
χ15222222-122222-1-1-1222-1-1-1-1-1-1-122-1-1-1-1222-1-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002200000000-1-1-1-10000
χ16222222-122222-1-1-1222-1-1-1-1-1-1-122-1-1-1-1222-1-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111110000-2-20000000011110000
χ17222222-122222-1-1-1222-1-1-1-1-1-1-122-1-1-1-1222-1-12-1-1-1-1-1-2-2-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-10000-2-20000000011110000
χ18222222-122222-1-1-1222-1-1-1-1-1-1-122-1-1-1-1222-1-12-1-1-1-1-1-2-2-1-11111-2-2-2-211111111-2-2-2-21111111100002200000000-1-1-1-10000
χ192222-2-2222-2-22222222-2-2-2-22-2-2-2-2222222-2-2-2-2-2-22-2-20022000000000000000022-2-22222-2-2-2-20000000000000000000000
χ202222-2-2222-2-22222222-2-2-2-22-2-2-2-2222222-2-2-2-2-2-22-2-200220000000000000000-2-222-2-2-2-222220000000000000000000000
χ212222-2-222-222-222222222222-2-2-2-2222-2-2-2222222-2-2-200-2-20000000000000000000000000000002-200-2-200002200000000
χ222222-2-222-222-222222222222-2-2-2-2222-2-2-2222222-2-2-200-2-2000000000000000000000000000000-2200220000-2-200000000
χ232222-2-22-1-222-2222-1-1-12222-1-2-211-1-1-1-211-1-1-1-1-1-1-21100110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3000000000000002-20011−i3−i3i3i3-1-100000000
χ242222-2-22-1-222-2222-1-1-12222-1-2-211-1-1-1-211-1-1-1-1-1-1-21100110000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i300000000000000-2200-1-1i3i3−i3−i31100000000
χ252222-2-22-1-222-2222-1-1-12222-1-2-211-1-1-1-211-1-1-1-1-1-1-21100110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3000000000000002-20011i3i3−i3−i3-1-100000000
χ262222-2-22-1-222-2222-1-1-12222-1-2-211-1-1-1-211-1-1-1-1-1-1-21100110000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i300000000000000-2200-1-1−i3−i3i3i31100000000
χ272222-2-2-122-2-22-1-1-12221111-111-2-2-1-1-1-122-211-211-11100-1-133−3−3000033−3−333−3−322-2-2-1-1-1-111110000000000000033−3−30000
χ282222-2-2-122-2-22-1-1-12221111-111-2-2-1-1-1-122-211-211-11100-1-133−3−3000033−3−333−3−3-2-2221111-1-1-1-100000000000000−3−3330000
χ292222-2-2-122-2-22-1-1-12221111-111-2-2-1-1-1-122-211-211-11100-1-1−3−3330000−3−333−3−33322-2-2-1-1-1-1111100000000000000−3−3330000
χ302222-2-2-122-2-22-1-1-12221111-111-2-2-1-1-1-122-211-211-11100-1-1−3−3330000−3−333−3−333-2-2221111-1-1-1-10000000000000033−3−30000
χ3122-2-22-22222-2-2-2-222-2-222-2-222-22-2-2-2222-2-2-2-2222-22-22-22-22-22-22-22-22-22-22-22-20000000000000000000000000000000000
χ3222-2-22-22222-2-2-2-222-2-222-2-222-22-2-2-2222-2-2-2-2222-22-2-222-2-22-22-22-22-22-22-22-220000000000000000000000000000000000
χ3322-2-22-222-2-222-2-222-2-2-2-22222-22-2-2-22-2-22222-2-2-222-200-2200000000000000000000000000000000000000000000002i−2i00
χ3422-2-22-222-2-222-2-222-2-2-2-22222-22-2-2-22-2-22222-2-2-222-200-220000000000000000000000000000000000000000000000−2i2i00
χ3522-2-22-22-122-2-2-2-22-11122-2-2-12-2-1111-12-11111-1-1-1-2-112-2-112-22-2-11-11-11-11-11-110000000000000000003−33−33−33−300000000
χ3622-2-22-22-122-2-2-2-22-11122-2-2-12-2-1111-12-11111-1-1-1-2-112-2-112-22-2-11-11-11-11-11-11000000000000000000−33−33−33−3300000000
χ3722-2-22-22-122-2-2-2-22-11122-2-2-12-2-1111-12-11111-1-1-1-2-11-22-11-22-221-11-11-11-11-11-10000000000000000003−3−33−333−300000000
χ3822-2-22-22-122-2-2-2-22-11122-2-2-12-2-1111-12-11111-1-1-1-2-11-22-11-22-221-11-11-11-11-11-1000000000000000000−333−33−3−3300000000
χ3922-2-22-2-1222-2-211-12-2-2-1-111-1-112-211-1-12-2-2112-1-11-112-2-11-11-112-22-2-11-11-11-11000033−3−333−3−3000000000000003−33−30000
χ4022-2-22-2-1222-2-211-12-2-2-1-111-1-112-211-1-12-2-2112-1-11-112-2-11-11-112-22-2-11-11-11-110000−3−333−3−33300000000000000−33−330000
χ4122-2-22-2-1222-2-211-12-2-2-1-111-1-112-211-1-12-2-2112-1-11-11-22-111-11-1-22-221-11-11-11-1000033−3−333−3−300000000000000−33−330000
χ4222-2-22-2-1222-2-211-12-2-2-1-111-1-112-211-1-12-2-2112-1-11-11-22-111-11-1-22-221-11-11-11-10000−3−333−3−333000000000000003−33−30000
χ4322-2-2-22222-22-2-2-222-2-2-2-2222-22-22-2-2222-2222-2-2-2-2-22002-2000000000000000000000000000000002-2000000002-2-220000
χ4422-2-2-22222-22-2-2-222-2-2-2-2222-22-22-2-2222-2222-2-2-2-2-22002-200000000000000000000000000000000-2200000000-222-20000
χ4522-2-2-2222-22-22-2-222-2-222-2-22-22-22-2-22-2-22-2-2-22222-2200-2200000000000000000000000000002i−2i0000002i−2i−2i2i0000000000
χ4622-2-2-2222-22-22-2-222-2-222-2-22-22-22-2-22-2-22-2-2-22222-2200-220000000000000000000000000000−2i2i000000−2i2i2i−2i0000000000
χ4722-2-2-222-1-22-22-2-22-11122-2-2-1-221-111-1-21-1111-1-1-121-1001-10000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i30000000000002i−2i0000−33−iii−i3−300000000
χ4822-2-2-222-1-22-22-2-22-11122-2-2-1-221-111-1-21-1111-1-1-121-1001-10000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i3000000000000−2i2i00003−3i−i−ii−3300000000
χ4922-2-2-222-1-22-22-2-22-11122-2-2-1-221-111-1-21-1111-1-1-121-1001-10000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i30000000000002i−2i00003−3−iii−i−3300000000
χ5022-2-2-222-1-22-22-2-22-11122-2-2-1-221-111-1-21-1111-1-1-121-1001-10000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i3000000000000−2i2i0000−33i−i−ii3−300000000
χ5122-2-2-22-122-22-211-12-2-211-1-1-11-1-2211-1-12-22-1-1-21111-100-113−3−3300003−3−333−3−33000033−3−3−3−3330000-22000000001-1-110000
χ5222-2-2-22-122-22-211-12-2-211-1-1-11-1-2211-1-12-22-1-1-21111-100-113−3−3300003−3−333−3−330000−3−33333−3−300002-200000000-111-10000
χ5322-2-2-22-122-22-211-12-2-211-1-1-11-1-2211-1-12-22-1-1-21111-100-11−333−30000−333−3−333−3000033−3−3−3−33300002-200000000-111-10000
χ5422-2-2-22-122-22-211-12-2-211-1-1-11-1-2211-1-12-22-1-1-21111-100-11−333−30000−333−3−333−30000−3−33333−3−30000-22000000001-1-110000
χ554444444-2-4-4-4-4444-2-2-2-4-4-4-4-244-2-2-2-2-2-422222222-4-2-2002200000000000000000000000000000000000000000000000000
χ56444444-24-4-4-4-4-2-2-24442222-2-2-244-2-2-22-4-4-422-4222-2-2002200000000000000000000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-211-211-2114411-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ58444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-211-211-211-4-41122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-21112222-1-12-1-121100-1-1000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000000000
χ60444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2-21112222-1-12-1-121100-1-100000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000000000
χ614444-4-44-24-4-44444-2-2-2-4-4-4-4-2-4-422-2-2-24-2-222222242200-2-200000000000000000000000000000000000000000000000000
χ624444-4-4-24-444-4-2-2-2444-2-2-2-2-222-4-4-2-2-22-4-44-2-24-2-2222002200000000000000000000000000000000000000000000000000
χ634444-4-4-2-24-4-44-2-2-2-2-2-2222212222111-2-2-22-1-12-1-1-2-1-100112323−23−230000−3−333−3−3330000000000000000000000000000000000
χ644444-4-4-2-24-4-44-2-2-2-2-2-2222212222111-2-2-22-1-12-1-1-2-1-10011−23−232323000033−3−333−3−30000000000000000000000000000000000
χ654444-4-4-2-2-444-4-2-2-2-2-2-2-2-2-2-212222111222-211-2112-1-100-1-10000−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ664444-4-4-2-2-444-4-2-2-2-2-2-2-2-2-2-212222111222-211-2112-1-100-1-100002i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ6744-4-44-44-2-4-444-4-44-222-4-444-24-4-2222-2-42-2-2-2-22224-22002-200000000000000000000000000000000000000000000000000
χ6844-4-44-4-24-4-44422-24-4-422-2-2-2-224-422-22-444-2-2-422-2-22002-200000000000000000000000000000000000000000000000000
χ6944-4-44-4-2-244-4-422-2-222-2-2221-22-22-1-11-2-222-1-1-21121-14-41-1-22-22-22-221-11-11-11-10000000000000000000000000000000000
χ7044-4-44-4-2-244-4-422-2-222-2-2221-22-22-1-11-2-222-1-1-21121-1-441-12-22-22-22-2-11-11-11-110000000000000000000000000000000000
χ7144-4-44-4-2-2-4-44422-2-22222-2-21-22-22-1-1122-2-2112-1-1-21-100-11000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ7244-4-44-4-2-2-4-44422-2-22222-2-21-22-22-1-1122-2-2112-1-1-21-100-1100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ7344-4-4-444-24-44-4-4-44-222-4-444-2-442-222-24-22-2-2-2222-42-200-2200000000000000000000000000000000000000000000000000
χ7444-4-4-44-24-44-4422-24-4-4-2-222-22-2-4422-22-44-4224-2-2-22-2002-200000000000000000000000000000000000000000000000000
χ7544-4-4-44-2-24-44-422-2-22222-2-212-22-2-1-11-2-22-2112-1-12-11001-123−23−23230000−333−3−333−30000000000000000000000000000000000
χ7644-4-4-44-2-24-44-422-2-22222-2-212-22-2-1-11-2-22-2112-1-12-11001-1−232323−2300003−3−333−3−330000000000000000000000000000000000
χ7744-4-4-44-2-2-44-4422-2-222-2-22212-22-2-1-1122-22-1-1-211-2-1100-110000−2i32i32i3−2i3i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000
χ7844-4-4-44-2-2-44-4422-2-222-2-22212-22-2-1-1122-22-1-1-211-2-1100-1100002i3−2i3−2i32i3−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000
χ794-44-4004400004-4-4-4-440000400004-4-40000000000000000000000000000000000−2i22i20000−2i22i2−2i22i20000000000000000000000
χ804-44-4004400004-4-4-4-440000400004-4-400000000000000000000000000000000002i2−2i200002i2−2i22i2−2i20000000000000000000000
χ814-44-400-240000-222-4-4423−2323−23-20000-222000023−23023−230000000000000000000000000−2i22i2i6−i6i6−i6i2−i2i2−i20000000000000000000000
χ824-44-400-240000-222-4-4423−2323−23-20000-222000023−23023−2300000000000000000000000002i2−2i2−i6i6−i6i6−i2i2−i2i20000000000000000000000
χ834-44-400-240000-222-4-44−2323−2323-20000-2220000−23230−23230000000000000000000000000−2i22i2−i6i6−i6i6i2−i2i2−i20000000000000000000000
χ844-44-400-240000-222-4-44−2323−2323-20000-2220000−23230−232300000000000000000000000002i2−2i2i6−i6i6−i6−i2i2−i2i20000000000000000000000
χ854-4-4400440000-44-4-44-4000040000-44-400000000000000000000000000000000−2i22i200−2i22i22i2−2i200000000000000000000000000
χ864-4-4400440000-44-4-44-4000040000-44-4000000000000000000000000000000002i2−2i2002i2−2i2−2i22i200000000000000000000000000
χ874-4-4400-2400002-22-44-423−23−2323-200002-220000−2323023−2300000000000000000000000−2i22i200i2−i2−i2i2−i6i6i6−i60000000000000000000000
χ884-4-4400-2400002-22-44-423−23−2323-200002-220000−2323023−23000000000000000000000002i2−2i200−i2i2i2−i2i6−i6−i6i60000000000000000000000
χ894-4-4400-2400002-22-44-4−232323−23-200002-22000023−230−232300000000000000000000000−2i22i200i2−i2−i2i2i6−i6−i6i60000000000000000000000
χ904-4-4400-2400002-22-44-4−232323−23-200002-22000023−230−2323000000000000000000000002i2−2i200−i2i2i2−i2−i6i6i6−i60000000000000000000000
χ918-88-8008-400008-8-844-40000-40000-444000000000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-40000-44444-443−4343−43200002-2-20000−23230−2323000000000000000000000000000000000000000000000000000000000
χ938-88-800-4-40000-44444-4−4343−4343200002-2-2000023−23023−23000000000000000000000000000000000000000000000000000000000
χ948-8-88008-40000-88-84-440000-400004-44000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004-444-4443−43−434320000-22-2000023−230−2323000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004-444-44−434343−4320000-22-20000−2323023−23000000000000000000000000000000000000000000000000000000000

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