Finite Group Databasebeta

← Group #11884029

Character table — Group #11884029

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466888888888888121212121212121212121212121212121216161616161616242424242424242424363636364848487272
order12223344666666366688121212122424242422241212121224242424242444444668812121212242424246666121212224812121224242224661248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11-1-11111-1-111111111111111-11-1-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111-1-1-1-111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-1-1-1-11
χ4111111111111111111111111111111-1-1-1-111111111-1-11111111-1-1111111-1-1-1-1-1-1-1-11-1-1-111-1-1-111-11-1-11-1
χ51111111111111111111111111111-1-111111111111111-111-1-1-1-111-1-1-1-1-1-11111111-11-1111111-1-1-1-11-1-1-1-1
χ61111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-111-1-1111-1
χ81111111111111111111111111111-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11-1-11111-11
χ9111111111111111111-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-111-11-1-1-1-111111-11-1-1
χ10111111111111111111-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-111-11111-1-1-1-1-1-1111
χ11111111111111111111-1-11111-1-1-1-111-111111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1111-1-11-1-11-11-11-1
χ12111111111111111111-1-11111-1-1-1-111-111111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-111111-11-1-1-111-111-111-1-11
χ13111111111111111111-1-11111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-111-1-1-1-1-11111-1-111111111-1-1-111-1-11-1-1-1-1-1-1-1-111-111
χ14111111111111111111-1-11111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-11-1-11-111111111-11-1-1-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-111-111-1-11111-1-11111-1-1-1-1111-1-11-1111-1-1-111-1-1-11-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1111-1-1-1111-1-111-111-1
χ17222222-2-2222222222200-2-2-2-20000220000-2-20000002-2-200220022-2-2000000000000000-20000-200200000
χ18222222-2-2222222222200-2-2-2-20000220000-2-2000000-22-2002200-2-2-2-200000000000000020000200-200000
χ19222222-2-2222222222200-2-2-2-20000-2-20000-2-20000002-2200-2-2002222000000000000000-20000200-200000
χ20222222-2-2222222222200-2-2-2-20000-2-20000-2-2000000-22200-2-200-2-22200000000000000020000-200200000
χ2122222-122-12-122-1-1-1-1-122-12-12-1-1-1-1222222-1-122-1-1-1-100200-1-12200-1-1-1-1-1-12-1-1-1-1-1-120200000000000-1-100
χ2222222-122-12-122-1-1-1-1-122-12-12-1-1-1-122-2-2-2-2-1-122-1-1-1-100200-1-12200-1-1-1-1-1-1-2111111-20-2000000000001100
χ2322222-122-12-122-1-1-1-1-122-12-12-1-1-1-1-2-22222-1-122-1-1-1-100-20011-2-2001111112-1-1-1-1-1-1-20-2000000000001100
χ2422222-122-12-122-1-1-1-1-122-12-12-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-100-20011-2-200111111-211111120200000000000-1-100
χ2522222-122-12-122-1-1-1-1-1-2-2-12-121111222-2-2-2-1-1-2-2111100200-1-1-2-200-1-111112-1-1-1111-202000000000001-100
χ2622222-122-12-122-1-1-1-1-1-2-2-12-12111122-2222-1-1-2-2111100200-1-1-2-200-1-11111-2111-1-1-120-200000000000-1100
χ2722222-122-12-122-1-1-1-1-1-2-2-12-121111-2-22-2-2-2-1-1-2-2111100-20011220011-1-1-1-12-1-1-111120-200000000000-1100
χ2822222-122-12-122-1-1-1-1-1-2-2-12-121111-2-2-2222-1-1-2-2111100-20011220011-1-1-1-1-2111-1-1-1-202000000000001-100
χ292222-12222-12-1-12-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-1-1-1220220000-1-1000000-12-1-12-1-10202-1-1-1-1-10000-10000
χ302222-12222-12-1-12-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-1-1-1-2-20-2-2000011000000-12-1-12-1-10-20-211111000010000
χ312222-12222-12-1-12-1-1-1-1222-12-1222200-2-211-1-1-1-1-1-1-1-1220-2-20000-1-10000001-211-2110-202-111-1-1000010000
χ322222-12222-12-1-12-1-1-1-1222-12-1222200-2-211-1-1-1-1-1-1-1-1-2-20220000110000001-211-211020-21-1-1110000-10000
χ332222-12222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-2002-211-1-1111111220-2-20000-1-1000000-12-1-1-211020-2-111110000-10000
χ342222-12222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-2002-211-1-1111111-2-2022000011000000-12-1-1-2110-2021-1-1-1-1000010000
χ352222-12222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-200-22-1-1-1-1111111220220000-1-10000001-2112-1-10-20-2-1-1-111000010000
χ362222-12222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-200-22-1-1-1-1111111-2-20-2-20000110000001-2112-1-10202111-1-10000-10000
χ372-2-22222-2-2-22-22-22-22-200-2-2220000000000-220000000002-2002-2000022-2-20000000000002-20002-2000000
χ382-2-22222-2-2-22-22-22-22-200-2-2220000000000-220000000002-200-220000-2-2220000000000002-2000-22000000
χ392-2-22222-2-2-22-22-22-22-200-2-2220000000000-22000000000-22002-2000022-2-2000000000000-22000-22000000
χ402-2-22222-2-2-22-22-22-22-200-2-2220000000000-22000000000-2200-220000-2-222000000000000-220002-2000000
χ4144444-2-4-4-24-244-2-2-2-2-2002-42-400004400002200000000-400-2-200002200000000000000000000000000000
χ4244444-2-4-4-24-244-2-2-2-2-2002-42-40000-4-400002200000000400220000-2-200000000000000000000000000000
χ434444-24-4-44-24-2-24-2-2-2-200-42-420000000000220000004-40000000-2-20000000000000000020000000000000
χ444444-24-4-44-24-2-24-2-2-2-200-42-42000000000022000000-4400000002200000000000000000-20000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20044-2-211-2-2111100000000000000000-2-211-211000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-42211-2-211110000000000000000022-1-12-1-1000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4221122-1-1-1-100000000000000000-2-2112-1-1000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-44-2-21122-1-1-1-10000000000000000022-1-1-211000000000000000000
χ4944-4-4440044-4-4-4-444-4-4−2i22i20000−2i2−2i22i22i200000000−2i22i2−2i2−2i22i22i2000000000000000000000000000000000000000000
χ5044-4-4440044-4-4-4-444-4-42i2−2i200002i22i2−2i2−2i2000000002i2−2i22i22i2−2i2−2i2000000000000000000000000000000000000000000
χ5144-4-44-200-242-4-42-2-222−2i22i20000i2i2−i2−i200000000−2i22i2i2i2−i2−i20000000000023−23i6−i6i6−i60000000000000000000000000
χ5244-4-44-200-242-4-42-2-222−2i22i20000i2i2−i2−i200000000−2i22i2i2i2−i2−i200000000000−2323−i6i6−i6i60000000000000000000000000
χ5344-4-44-200-242-4-42-2-2222i2−2i20000−i2−i2i2i2000000002i2−2i2−i2−i2i2i20000000000023−23−i6i6−i6i60000000000000000000000000
χ5444-4-44-200-242-4-42-2-2222i2−2i20000−i2−i2i2i2000000002i2−2i2−i2−i2i2i200000000000−2323i6−i6i6−i60000000000000000000000000
χ5544-4-4-24004-2-422-4-2-222−2i22i20000−2i2−2i22i22i200000000i2−i2i2i2−i2−i2000000000−2i32i3000000000000000000006−6000000000
χ5644-4-4-24004-2-422-4-2-222−2i22i20000−2i2−2i22i22i200000000i2−i2i2i2−i2−i20000000002i3−2i300000000000000000000−66000000000
χ5744-4-4-24004-2-422-4-2-2222i2−2i200002i22i2−2i2−2i200000000−i2i2−i2−i2i2i2000000000−2i32i300000000000000000000−66000000000
χ5844-4-4-24004-2-422-4-2-2222i2−2i200002i22i2−2i2−2i200000000−i2i2−i2−i2i2i20000000002i3−2i3000000000000000000006−6000000000
χ594-44-44400-4-4-44-444-4-4400000000004-4000000000000000004-400000000000000000000000000000000000
χ604-44-44400-4-4-44-444-4-440000000000-4400000000000000000-4400000000000000000000000000000000000
χ614-44-44-2002-424-4-2-222-2000000i6−i6i6−i64-400000000i6−i6i6−i600000-22000000i6−i6−i6i60000000000000000000000000
χ624-44-44-2002-424-4-2-222-2000000i6−i6i6−i6-4400000000i6−i6i6−i6000002-2000000−i6i6i6−i60000000000000000000000000
χ634-44-44-2002-424-4-2-222-2000000−i6i6−i6i64-400000000−i6i6−i6i600000-22000000−i6i6i6−i60000000000000000000000000
χ644-44-44-2002-424-4-2-222-2000000−i6i6−i6i6-4400000000−i6i6−i6i6000002-2000000i6−i6−i6i60000000000000000000000000
χ654-4-4444-44-4-44-44-44-44-40044-4-400000000004-4000000000000000000000000000000000000000000000000
χ664-4-444-24-42-4-2-442-22-22002-4-2400000000002-200000000000004-40000-2-2220000000000000000000000000
χ674-4-444-24-42-4-2-442-22-22002-4-2400000000002-20000000000000-44000022-2-20000000000000000000000000
χ684-4-444-2-442-4-2-442-22-2200-242-423−23−2323000000-220023−23−2323000000000000000000000000000000000000000000
χ694-4-444-2-442-4-2-442-22-2200-242-4−232323−23000000-2200−232323−23000000000000000000000000000000000000000000
χ704-4-44-244-4-4242-2-4-22-2200-424-200000000002-20000000004-4000000000000000000000000-2200000000000
χ714-4-44-244-4-4242-2-4-22-2200-424-200000000002-2000000000-440000000000000000000000002-200000000000
χ724-4-44-24-44-4242-2-4-22-22004-2-420000000023−23-22000000000000000000000000000023−23000000000000000000
χ734-4-44-24-44-4242-2-4-22-22004-2-4200000000−2323-220000000000000000000000000000−2323000000000000000000
χ744-4-44-2-2-4422-22-221-11-100-2-22223−23−2323000023−231-100−333−300000000000000000003-30−33000000000000000000
χ754-4-44-2-2-4422-22-221-11-100-2-22223−23−23230000−23231-100−333−30000000000000000000-3303−3000000000000000000
χ764-4-44-2-2-4422-22-221-11-100-2-222−232323−23000023−231-1003−3−330000000000000000000-330−33000000000000000000
χ774-4-44-2-2-4422-22-221-11-100-2-222−232323−230000−23231-1003−3−3300000000000000000003-303−3000000000000000000
χ788888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7988-8-8-4-400-4-4444422-2-2−4i24i200002i22i2−2i2−2i2000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ8088-8-8-4-400-4-4444422-2-24i2−4i20000−2i2−2i22i22i200000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ818-88-8-4800-84-8-448-444-4000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400444-44-42-2-220000002i6−2i62i6−2i60000000000−i6i6−i6i6000000000000000000000000000000000000000000
χ838-88-8-4-400444-44-42-2-22000000−2i62i6−2i62i60000000000i6−i6i6−i6000000000000000000000000000000000000000000
χ848-8-88-4-48-844-44-442-22-20044-4-40000000000-22000000000000000000000000000000000000000000000000

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