Finite Group Databasebeta

← Group #13170577

Character table — Group #13170577

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size112222222224444444444444444444448888888888888812121212121212121212121212121818181824242424242424242424242424242424242424243636363636363636545472727272108
order122333446663336666666612121212121212121212366666121212121212121222246666668812122244666666666121212242424242424242424446612128861212128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-111-1-11111-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111
χ51111111111111111111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-11-1-111-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-111-1-1-1-11-1-111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1
χ911-1111-11111111-1-1-1-1-1111-11-1-1-1-111111-1-1-1-111-1-1111-1-11-11-111-1-1111-1-1-11-11-111-11111-1-1-1-1-11111-1-1-1-11-11-11-11-1-1-11-11-11
χ1011-1111-11111111-1-1-1-1-1111-11-1-1-1-111111-1-1-1-111-1-1111-1-11-11-111-1-111-11-1-11-11-111-11111-1-1-1-1-1-1-1-1-11111-11-111-11-111-11-11-1
χ1111-1111-11111111-1-1-1-1-1111-11-1-1-1-111111-1-1-1-111-1-1111-1-11-1-1111-1-1-1-11-111-11-11-11-1-1-111-1-11111111-1-1-1-11-1-11-11-11111-1-11-1
χ1211-1111-11111111-1-1-1-1-1111-11-1-1-1-111111-1-1-1-111-1-1111-1-11-1-1111-1-1-1-1-1111-11-11-11-1-1-111-1-1111-1-1-1-11111-111-1-11-11-1-1-111-11
χ1311-1111-11111111-1-1-1-1-1111-11-1-1-1-111111-1-1-1-111-1-1111-1-1-111-1-1-111111-1-1-1-11-111-1111-1-111-1-1-11111-1-1-1-1-111-1-11-1111-111-1-1
χ1411-1111-11111111-1-1-1-1-1111-11-1-1-1-111111-1-1-1-111-1-1111-1-1-111-1-1-11111-11-1-1-11-111-1111-1-111-1-1-1-1-1-1-111111-1-11-11-11-1-11-1-111
χ1511-1111-11111111-1-1-1-1-1111-11-1-1-1-111111-1-1-1-111-1-1111-1-1-11-11-1-111-1-11-1111-11-1-1-11-1-1-1-1111111111-1-1-1-1-11-111-11-1-1-1-11-111
χ1611-1111-11111111-1-1-1-1-1111-11-1-1-1-111111-1-1-1-111-1-1111-1-1-11-11-1-111-1-1-11111-11-1-1-11-1-1-1-111111-1-1-1-111111-11-11-11-1111-11-1-1
χ17222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2000000000000002-2-220000000000000000000000002-2-220000000
χ18222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-200000000000000-222-2000000000000000000000000-222-20000000
χ1922222-1222-122-1-122-1-1-12-1-12-1-12-1-12222-12-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-100-1-12222222-1-1-1-1-1-12-1-1000000000000-1-1-1-10000000
χ2022222-1222-122-1-122-1-1-12-1-12-1-12-1-12222-12-1-1-1-1-12-1-1-1-1-1-122-2-2-1-1-1-1110011-2-2-2-2-22211-1-1-1-1-21100000000000011110000000
χ2122222-1222-122-1-122-1-1-12-1-12-1-12-1-12222-12-1-1-1-1-12-1-1-1-1-1-1-2-2221111-1-100-1-1-2-2-2-22-2-2-1-111112-1-100000000000011110000000
χ2222222-1222-122-1-122-1-1-12-1-12-1-12-1-12222-12-1-1-1-1-12-1-1-1-1-1-1-2-2-2-211111100112222-2-2-2111111-211000000000000-1-1-1-10000000
χ2322222-1-2-22-122-1-122-1-1-12-1-1-211-211-2-2-2-2-12-1-1-1-11-21111110000−i3i3−i3i3−i3i300−i3i32-2-22000−i3i3−i3i3−i3i30−i3i3000000000000-111-10000000
χ2422222-1-2-22-122-1-122-1-1-12-1-1-211-211-2-2-2-2-12-1-1-1-11-21111110000−i3i3−i3i3i3−i300i3−i3-222-2000i3−i3−i3i3−i3i30i3−i30000000000001-1-110000000
χ2522222-1-2-22-122-1-122-1-1-12-1-1-211-211-2-2-2-2-12-1-1-1-11-21111110000i3−i3i3−i3−i3i300−i3i3-222-2000−i3i3i3−i3i3−i30−i3i30000000000001-1-110000000
χ2622222-1-2-22-122-1-122-1-1-12-1-1-211-211-2-2-2-2-12-1-1-1-11-21111110000i3−i3i3−i3i3−i300i3−i32-2-22000i3−i3i3−i3i3−i30i3−i3000000000000-111-10000000
χ272222-1222-122-12-12-12-1-1-1-12-122222-12-1-1-1-12-1-1-1-1-1-12-1-1-1-12200222200220000000-1-100-1-1-1-10002-1-1-12-1-1-12200000000-1-1000
χ282222-1222-122-12-12-12-1-1-1-12-122222-12-1-1-1-12-1-1-1-1-1-12-1-1-1-12200222200-2-20000000-1-100-1-1-1-1000-2111-2111-2-20000000011000
χ292222-1222-122-12-12-12-1-1-1-12-122222-12-1-1-1-12-1-1-1-1-1-12-1-1-1-1-2-200-2-2-2-200220000000110011110002-1-1-12-1-1-1-2-20000000011000
χ302222-1222-122-12-12-12-1-1-1-12-122222-12-1-1-1-12-1-1-1-1-1-12-1-1-1-1-2-200-2-2-2-200-2-2000000011001111000-2111-21112200000000-1-1000
χ31222-1222222-1-1-12-12222-12-1222-1-1-12-1-1-1-1-1-1-1-1-12-12-1-1-1-1-1002200002222220000-100-1-10000-1-1-1-12-1-1-12-1-1002200000000-1-10
χ32222-1222222-1-1-12-12222-12-1222-1-1-12-1-1-1-1-1-1-1-1-12-12-1-1-1-1-10022000022-2-2220000-100-1-10000-1-1-11-2111-21100-2-200000000110
χ33222-1222222-1-1-12-12222-12-1222-1-1-12-1-1-1-1-1-1-1-1-12-12-1-1-1-1-100-2-20000-2-222-2-20000100110000111-12-1-1-12-1-100-2-200000000110
χ34222-1222222-1-1-12-12222-12-1222-1-1-12-1-1-1-1-1-1-1-1-12-12-1-1-1-1-100-2-20000-2-2-2-2-2-200001001100001111-2111-211002200000000-1-10
χ3522-22222-2222222-2-2-2-2-22222-22222-2-2-2-22-2-2-2-22-222-2-2-2220000000000000022-2-200000000000000000000000022-2-20000000
χ3622-22222-2222222-2-2-2-2-22222-22222-2-2-2-22-2-2-2-22-222-2-2-22200000000000000-2-222000000000000000000000000-2-2220000000
χ3722-222-12-22-122-1-1-2-21112-1-121-12-1-1-2-2-2-2-1-2111-112-1111-1-10000−i3i3i3−i3−i3i300i3−i322-2-2000−i3i3−i3i3i3−i30i3−i3000000000000-1-1110000000
χ3822-222-12-22-122-1-1-2-21112-1-121-12-1-1-2-2-2-2-1-2111-112-1111-1-10000−i3i3i3−i3i3−i300−i3i3-2-222000i3−i3−i3i3i3−i30−i3i300000000000011-1-10000000
χ3922-222-12-22-122-1-1-2-21112-1-121-12-1-1-2-2-2-2-1-2111-112-1111-1-10000i3−i3−i3i3−i3i300i3−i3-2-222000−i3i3i3−i3−i3i30i3−i300000000000011-1-10000000
χ4022-222-12-22-122-1-1-2-21112-1-121-12-1-1-2-2-2-2-1-2111-112-1111-1-10000i3−i3−i3i3i3−i300−i3i322-2-2000i3−i3i3−i3−i3i30−i3i3000000000000-1-1110000000
χ4122-222-1-222-122-1-1-2-21112-1-1-2-11-2112222-1-2111-1-1-21-1-1-1112-22-2-1-111-1-100112-22-222-2-1-1-1-111-211000000000000-11-110000000
χ4222-222-1-222-122-1-1-2-21112-1-1-2-11-2112222-1-2111-1-1-21-1-1-1112-2-22-1-1111100-1-1-22-22-22-211-1-1112-1-10000000000001-11-10000000
χ4322-222-1-222-122-1-1-2-21112-1-1-2-11-2112222-1-2111-1-1-21-1-1-111-222-211-1-1-1-10011-22-222-22-1-111-1-1-2110000000000001-11-10000000
χ4422-222-1-222-122-1-1-2-21112-1-1-2-11-2112222-1-2111-1-1-21-1-1-111-22-2211-1-11100-1-12-22-2-2-221111-1-12-1-1000000000000-11-110000000
χ4522-22-12-22-122-12-1-21-211-1-1212-2-2-2-2-12-1-1-11-211-1-1112-1-1112-20022-2-2002-20000000-1100-1-1110002-1-1-1-21112-200000000-11000
χ4622-22-12-22-122-12-1-21-211-1-1212-2-2-2-2-12-1-1-11-211-1-1112-1-1112-20022-2-200-220000000-1100-1-111000-21112-1-1-1-22000000001-1000
χ4722-22-12-22-122-12-1-21-211-1-1212-2-2-2-2-12-1-1-11-211-1-1112-1-111-2200-2-222002-200000001-10011-1-10002-1-1-1-2111-22000000001-1000
χ4822-22-12-22-122-12-1-21-211-1-1212-2-2-2-2-12-1-1-11-211-1-1112-1-111-2200-2-22200-2200000001-10011-1-1000-21112-1-1-12-200000000-11000
χ4922-2-122-2222-1-1-121-2-2-2-2-12-1-22-21112-1-1-1-11111-121-2-1-1-111002-20000222-2-2-20000-100-1-10000111-12-1-11-211002-200000000-110
χ5022-2-122-2222-1-1-121-2-2-2-2-12-1-22-21112-1-1-1-11111-121-2-1-1-111002-2000022-22-2-20000-100-1-100001111-211-12-1-100-22000000001-10
χ5122-2-122-2222-1-1-121-2-2-2-2-12-1-22-21112-1-1-1-11111-121-2-1-1-11100-220000-2-22-2220000100110000-1-1-1-12-1-11-21100-22000000001-10
χ5222-2-122-2222-1-1-121-2-2-2-2-12-1-22-21112-1-1-1-11111-121-2-1-1-11100-220000-2-2-22220000100110000-1-1-11-211-12-1-1002-200000000-110
χ534444-24-4-4-244-24-24-24-2-2-2-242-4-4-4-4-42-422-2-24-2-2-2222-4222200000000000000000000000000000000000000000000000000000
χ544444-2-244-2-24-2-214-2-211-21-2-2-2-24-2-2-24-2-21-2-21111-21-211114400-2-2-2-200000000000-2-200111100000000000000000000000000
χ554444-2-244-2-24-2-214-2-211-21-2-2-2-24-2-2-24-2-21-2-21111-21-21111-4-4002222000000000002200-1-1-1-100000000000000000000000000
χ564444-2-2-4-4-2-24-2-214-2-211-21-2222-4222-4221-2-2111-12-12-1-1-1-10000−2i32i3−2i32i3000000000000000i3−i3i3−i300000000000000000000000000
χ574444-2-2-4-4-2-24-2-214-2-211-21-2222-4222-4221-2-2111-12-12-1-1-1-100002i3−2i32i3−2i3000000000000000−i3i3−i3i300000000000000000000000000
χ58444-244-4-444-2-2-24-24444-24-2-4-4-4222-4222-2-2-2-2-2-2-42-42222200000000000000000000000000000000000000000000000000000
χ59444-24-2444-2-2-21-2-24-2-2-2-2-214-2-2-2114-2-2-21-21111-2-2-21111100440000-2-200-2-20000-200110000-21100000000000000000000000
χ60444-24-2444-2-2-21-2-24-2-2-2-2-214-2-2-2114-2-2-21-21111-2-2-21111100-4-400002200220000200-1-100002-1-100000000000000000000000
χ61444-24-2-4-44-2-2-21-2-24-2-2-2-2-21-4222-1-1-42221-21111222-1-1-1-1-100000000−2i32i300−2i32i30000000i3−i300000i3−i300000000000000000000000
χ62444-24-2-4-44-2-2-21-2-24-2-2-2-2-21-4222-1-1-42221-21111222-1-1-1-1-1000000002i3−2i3002i3−2i30000000−i3i300000−i3i300000000000000000000000
χ63444-2-2444-24-21-2-2-2-24-2-21-2-2-244-2-2-2-2-21111-2111-21-2-21111000000000044000000000000000000-2-211-2-211000000000000000
χ64444-2-2444-24-21-2-2-2-24-2-21-2-2-244-2-2-2-2-21111-2111-21-2-211110000000000-4-400000000000000000022-1-122-1-1000000000000000
χ65444-2-24-4-4-24-21-2-2-2-24-2-21-2-22-4-422222-1-111-21112-122-1-1-1-1000000000000000000000000000000003i−3i003i−3i000000000000000
χ66444-2-24-4-4-24-21-2-2-2-24-2-21-2-22-4-422222-1-111-21112-122-1-1-1-100000000000000000000000000000000−3i3i00−3i3i000000000000000
χ6744-44-244-4-244-24-2-42-422-2-24-2-444442-422-22-422-22-2-2-422-2-200000000000000000000000000000000000000000000000000000
χ6844-44-2-24-4-2-24-2-21-422-1-1-21-2-22-24-2-22-422122-1-11-1-212-1-1110000−2i32i32i3−2i3000000000000000i3−i3−i3i300000000000000000000000000
χ6944-44-2-24-4-2-24-2-21-422-1-1-21-2-22-24-2-22-422122-1-11-1-212-1-11100002i3−2i3−2i32i3000000000000000−i3i3i3−i300000000000000000000000000
χ7044-44-2-2-44-2-24-2-21-422-1-1-21-22-22-422-24-2-2122-1-1112-1-211-1-14-400-2-22200000000000-220011-1-100000000000000000000000000
χ7144-44-2-2-44-2-24-2-21-422-1-1-21-22-22-422-24-2-2122-1-1112-1-211-1-1-440022-2-2000000000002-200-1-11100000000000000000000000000
χ7244-4-2444-444-2-2-242-4-4-4-4-24-24-44-2-2-2-4222-22222-2-4-24222-2-200000000000000000000000000000000000000000000000000000
χ7344-4-24-24-44-2-2-21-22-4222-2-2142-2-211-422212-1-1-112-2-2-1-1-11100000000−2i32i3002i3−2i30000000i3−i300000−i3i300000000000000000000000
χ7444-4-24-24-44-2-2-21-22-4222-2-2142-2-211-422212-1-1-112-2-2-1-1-111000000002i3−2i300−2i32i30000000−i3i300000i3−i300000000000000000000000
χ7544-4-24-2-444-2-2-21-22-4222-2-21-4-222-1-14-2-2-212-1-1-11-222111-1-1004-40000-2-200220000-2001100002-1-100000000000000000000000
χ7644-4-24-2-444-2-2-21-22-4222-2-21-4-222-1-14-2-2-212-1-1-11-222111-1-100-4400002200-2-20000200-1-10000-21100000000000000000000000
χ7744-4-2-244-4-24-21-2-222-4221-2-2-2-44-2-2-222-1-11-12-1-1121-22-1-111000000000000000000000000000000003i−3i00−3i3i000000000000000
χ7844-4-2-244-4-24-21-2-222-4221-2-2-2-44-2-2-222-1-11-12-1-1121-22-1-11100000000000000000000000000000000−3i3i003i−3i000000000000000
χ7944-4-2-24-44-24-21-2-222-4221-2-224-4222-2-2111-12-1-11-2-12-211-1-100000000004-4000000000000000000-2-21122-1-1000000000000000
χ8044-4-2-24-44-24-21-2-222-4221-2-224-4222-2-2111-12-1-11-2-12-211-1-10000000000-4400000000000000000022-1-1-2-211000000000000000
χ814-4044400-4-4-444400000-4-4-4000000000040000-4000000000000000000000000000000000000000000000000000000−2i22i200000
χ824-4044400-4-4-444400000-4-4-4000000000040000-40000000000000000000000000000000000000000000000000000002i2−2i200000
χ83888-4-4-488-4-4-4222-4-4-422222-4-4-4-422-4-422-122-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000000000
χ84888-4-4-4-8-8-4-4-4222-4-4-4222224444-2-244-2-2-122-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000
χ8588-8-4-4-48-8-4-4-4222444-2-2222-44-4-42244-2-2-1-2-211-1-222-211-1-100000000000000000000000000000000000000000000000000000
χ8688-8-4-4-4-88-4-4-4222444-2-22224-444-2-2-4-422-1-2-211-12-2-22-1-11100000000000000000000000000000000000000000000000000000
χ878-8088-400-84-88-4-400000-8440000000000-4000040000000000000000000000000000000000000000000000000000000000000
χ888-808-48004-8-8-48-40000044-80000000000-4000040000000000000000000000000000000000000000000000000000000000000
χ898-808-4-40044-8-4-420006-64-2400000000002006-6-20000000000000000000000000000000000000000000000000000000000000
χ908-808-4-40044-8-4-42000-664-240000000000200-66-20000000000000000000000000000000000000000000000000000000000000
χ918-80-48800-8-84-4-48000004-840000000000-4000040000000000000000000000000000000000000000000000000000000000000
χ928-80-48-400-844-42-40000044-200006i−6i000020000-20000006i−6i00000000000000000000000000000000000000000000000000000
χ938-80-48-400-844-42-40000044-20000−6i6i000020000-2000000−6i6i00000000000000000000000000000000000000000000000000000
χ948-80-4-48004-842-4-400000-244000000006i−6i20000-200006i−6i0000000000000000000000000000000000000000000000000000000
χ958-80-4-48004-842-4-400000-24400000000−6i6i20000-20000−6i6i0000000000000000000000000000000000000000000000000000000
χ968-80-4-4-4004442220006-6-2-2-200006i−6i006i−6i-100-3310000−3i3i−3i3i00000000000000000000000000000000000000000000000000000
χ978-80-4-4-4004442220006-6-2-2-20000−6i6i00−6i6i-100-33100003i−3i3i−3i00000000000000000000000000000000000000000000000000000
χ988-80-4-4-400444222000-66-2-2-200006i−6i00−6i6i-1003-3100003i−3i−3i3i00000000000000000000000000000000000000000000000000000
χ998-80-4-4-400444222000-66-2-2-20000−6i6i006i−6i-1003-310000−3i3i3i−3i00000000000000000000000000000000000000000000000000000

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