Finite Group Databasebeta

← Group #13180596

Character table — Group #13180596

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size112244446888812121212121218242424242424242436363636363636365472108112244446888812121212121218242424242424242436363636363636365472108
order1236336643366226612124666666612248121212242426822666666466662266121246666666122481212122424268
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1111111-1-111-1-11-11-1111-1-11-1-111111111111111-1111111-1-111-1-11-11-1111-1-11-1-1
χ31111111111111-11-1-1111-111-1-11111-1-1-1-11-1-111-11111111111111-11-1-1111-111-1-11111-1-1-1-11-1-111-1
χ41111111111111-1-1-1-1111-1-1-1-1-1-1-11-1-11-1-11111-111111111111111-1-1-1-1111-1-1-1-1-1-1-11-1-11-1-11111-11
χ511111111-111111111-1-111111111-1-1-11-1-1111-1-1-111111111-111111111-1-111111111-1-1-11-1-1111-1-1-1
χ611111111-111111-111-1-111-1-111-1-1-11-1-1-1-11-1-1-11111111111-111111-111-1-111-1-111-1-1-11-1-1-1-11-1-1-111
χ711111111-11111-11-1-1-1-11-111-1-111-1-11-1111-1-1-1-1111111111-11111-11-1-1-1-11-111-1-111-1-11-1111-1-1-1-11
χ811111111-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-11-111111111-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-11-1
χ92222222222222000022-20000000200000-200-2002222222222222000022-20000000200000-200-200
χ1022222222-222220000-2-2-20000000-200000-20020022222222-222220000-2-2-20000000-200000-200200
χ1122-1-122220-1-1-1-12222002-1-12-1-1-1-1000200-1-1-100022-1-122220-1-1-1-12222002-1-12-1-1-1-1000200-1-1-1000
χ1222-1-122220-1-1-1-12-222002-11-2-1-111000-200-11100022-1-122220-1-1-1-12-222002-11-2-1-111000-200-111000
χ1322-1-122220-1-1-1-1-22-2-20021-1211-1-1000-200-11100022-1-122220-1-1-1-1-22-2-20021-1211-1-1000-200-111000
χ1422-1-122220-1-1-1-1-2-2-2-200211-21111000200-1-1-100022-1-122220-1-1-1-1-2-2-2-200211-21111000200-1-1-1000
χ1544441-2-2141-21-220-1-1110200-1-100-2020-1-100000044441-2-2141-21-220-1-1110200-1-100-2020-1-1000000
χ1644441-2-2141-21-2-2011110-2001100-20-201100000044441-2-2141-21-2-2011110-2001100-20-2011000000
χ1744441-2-21-41-21-220-1-1-1-10200-1-10020-201100000044441-2-21-41-21-220-1-1-1-10200-1-10020-2011000000
χ1844441-2-21-41-21-2-2011-1-10-20011002020-1-100000044441-2-21-41-21-2-2011-1-10-20011002020-1-1000000
χ194444-211-24-21-210200-2-2002-100-1-11200000000-104444-211-24-21-210200-2-2002-100-1-11200000000-10
χ204444-211-24-21-210-200-2-200-2100111-200000000104444-211-24-21-210-200-2-200-2100111-20000000010
χ214444-211-2-4-21-21020022002-100-1-1-1-200000000104444-211-2-4-21-21020022002-100-1-1-1-20000000010
χ224444-211-2-4-21-210-2002200-210011-1200000000-104444-211-2-4-21-210-2002200-210011-1200000000-10
χ2344-2-244440-2-2-2-2000000-4000000000000020000044-2-244440-2-2-2-2000000-40000000000000200000
χ244-44-41-22-101-2-1200−i3i33i−3i0000−i3i30000003−30000004-44-41-22-101-2-1200−i3i33i−3i0000−i3i30000003−3000000
χ254-44-41-22-101-2-1200−i3i3−3i3i0000−i3i3000000−330000004-44-41-22-101-2-1200−i3i3−3i3i0000−i3i3000000−33000000
χ264-44-41-22-101-2-1200i3−i33i−3i0000i3−i3000000−330000004-44-41-22-101-2-1200i3−i33i−3i0000i3−i3000000−33000000
χ274-44-41-22-101-2-1200i3−i3−3i3i0000i3−i30000003−30000004-44-41-22-101-2-1200i3−i3−3i3i0000i3−i30000003−3000000
χ284-44-444-4-4044-4-4000000000000000000000000004-44-444-4-4044-4-400000000000000000000000000
χ294-4-2244-4-40-2-222000000000000000000000i6−i60004-4-2244-4-40-2-222000000000000000000000i6−i6000
χ304-4-2244-4-40-2-222000000000000000000000−i6i60004-4-2244-4-40-2-222000000000000000000000−i6i6000
χ3188-4-42-4-420-12-1240-2-2000-200110000000000000088-4-42-4-420-12-1240-2-2000-2001100000000000000
χ3288-4-42-4-420-12-12-4022000200-1-10000000000000088-4-42-4-420-12-12-4022000200-1-100000000000000
χ3388-4-4-422-402-12-104000000-2-2001100000000000088-4-4-422-402-12-104000000-2-20011000000000000
χ3488-4-4-422-402-12-10-40000002200-1-100000000000088-4-4-422-402-12-10-40000002200-1-1000000000000
χ358-88-8-42-240-424-2000000000000000000000000008-88-8-42-240-424-200000000000000000000000000
χ368-8-442-44-20-121-200−2i32i3000000i3−i3000000000000008-8-442-44-20-121-200−2i32i3000000i3−i300000000000000
χ378-8-442-44-20-121-2002i3−2i3000000−i3i3000000000000008-8-442-44-20-121-2002i3−2i3000000−i3i300000000000000
χ388-8-44-42-2402-1-210000000000003-30000000000008-8-44-42-2402-1-210000000000003-3000000000000
χ398-8-44-42-2402-1-21000000000000-330000000000008-8-44-42-2402-1-21000000000000-33000000000000
χ40111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111-1111111-1-111-1-11-11-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-111-11-11-1-1-111-111
χ421111111111111-11-1-1111-111-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-11-1-111-1-1-1-11111-111-1-11
χ431111111111111-1-1-1-1111-1-1-1-1-1-1-11-1-11-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111111-111-111-1-1-1-11-1
χ4411111111-111111111-1-111111111-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-111-1-1-1111
χ4511111111-111111-111-1-111-1-111-1-1-11-1-1-1-11-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-11-1-111-1-111-1-1111-11111-1111-1-1
χ4611111111-11111-11-1-1-1-11-111-1-111-1-11-1111-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-11-11111-11-1-111-1-111-11-1-1-11111-1
χ4711111111-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-1-11-1-1-1-1111111-111111111-1-1-1-1-1-1-1-11-11
χ482222222222222000022-20000000200000-200-200-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-220000000-200000200200
χ4922222222-222220000-2-2-20000000-200000-200200-2-2-2-2-2-2-2-22-2-2-2-200002220000000200000200-200
χ5022-1-122220-1-1-1-12222002-1-12-1-1-1-1000200-1-1-1000-2-211-2-2-2-201111-2-2-2-200-211-21111000-200111000
χ5122-1-122220-1-1-1-12-222002-11-2-1-111000-200-111000-2-211-2-2-2-201111-22-2-200-21-1211-1-10002001-1-1000
χ5222-1-122220-1-1-1-1-22-2-20021-1211-1-1000-200-111000-2-211-2-2-2-2011112-22200-2-11-2-1-1110002001-1-1000
χ5322-1-122220-1-1-1-1-2-2-2-200211-21111000200-1-1-1000-2-211-2-2-2-201111222200-2-1-12-1-1-1-1000-200111000
χ5444441-2-2141-21-220-1-1110200-1-100-2020-1-1000000-4-4-4-4-122-1-4-12-12-2011-1-10-200110020-2011000000
χ5544441-2-2141-21-2-2011110-2001100-20-2011000000-4-4-4-4-122-1-4-12-1220-1-1-1-10200-1-1002020-1-1000000
χ5644441-2-21-41-21-220-1-1-1-10200-1-10020-2011000000-4-4-4-4-122-14-12-12-2011110-2001100-2020-1-1000000
χ5744441-2-21-41-21-2-2011-1-10-20011002020-1-1000000-4-4-4-4-122-14-12-1220-1-1110200-1-100-20-2011000000
χ584444-211-24-21-210200-2-2002-100-1-11200000000-10-4-4-4-42-1-12-42-12-10-2002200-210011-1-20000000010
χ594444-211-24-21-210-200-2-200-2100111-20000000010-4-4-4-42-1-12-42-12-1020022002-100-1-1-1200000000-10
χ604444-211-2-4-21-21020022002-100-1-1-1-20000000010-4-4-4-42-1-1242-12-10-200-2-200-2100111200000000-10
χ614444-211-2-4-21-210-2002200-210011-1200000000-10-4-4-4-42-1-1242-12-10200-2-2002-100-1-11-20000000010
χ6244-2-244440-2-2-2-2000000-40000000000000200000-4-422-4-4-4-40222200000040000000000000-200000
χ634-44-41-22-101-2-1200−i3i33i−3i0000−i3i30000003−3000000-44-44-12-210-121-200i3−i3−3i3i0000i3−i3000000−33000000
χ644-44-41-22-101-2-1200−i3i3−3i3i0000−i3i3000000−33000000-44-44-12-210-121-200i3−i33i−3i0000i3−i30000003−3000000
χ654-44-41-22-101-2-1200i3−i33i−3i0000i3−i3000000−33000000-44-44-12-210-121-200−i3i3−3i3i0000−i3i30000003−3000000
χ664-44-41-22-101-2-1200i3−i3−3i3i0000i3−i30000003−3000000-44-44-12-210-121-200−i3i33i−3i0000−i3i3000000−33000000
χ674-44-444-4-4044-4-400000000000000000000000000-44-44-4-4440-4-44400000000000000000000000000
χ684-4-2244-4-40-2-222000000000000000000000i6−i6000-442-2-4-444022-2-2000000000000000000000−i6i6000
χ694-4-2244-4-40-2-222000000000000000000000−i6i6000-442-2-4-444022-2-2000000000000000000000i6−i6000
χ7088-4-42-4-420-12-1240-2-2000-2001100000000000000-8-844-244-201-21-2-4022000200-1-100000000000000
χ7188-4-42-4-420-12-12-4022000200-1-100000000000000-8-844-244-201-21-240-2-2000-2001100000000000000
χ7288-4-4-422-402-12-104000000-2-20011000000000000-8-8444-2-240-21-210-40000002200-1-1000000000000
χ7388-4-4-422-402-12-10-40000002200-1-1000000000000-8-8444-2-240-21-2104000000-2-20011000000000000
χ748-88-8-42-240-424-200000000000000000000000000-88-884-22-404-2-4200000000000000000000000000
χ758-8-442-44-20-121-200−2i32i3000000i3−i300000000000000-884-4-24-4201-2-12002i3−2i3000000−i3i300000000000000
χ768-8-442-44-20-121-2002i3−2i3000000−i3i300000000000000-884-4-24-4201-2-1200−2i32i3000000i3−i300000000000000
χ778-8-44-42-2402-1-210000000000003-3000000000000-884-44-22-40-212-1000000000000-33000000000000
χ788-8-44-42-2402-1-21000000000000-33000000000000-884-44-22-40-212-10000000000003-3000000000000

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