Finite Group Databasebeta

← Group #11878811

Character table — Group #11878811

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444444446666668888888888881212121212121212121212121212121616161616161618182424242424242424243636364848487272
order1222334466666636668812121212242424244444444412121212242424242424488881212121212122424242412121212121212442244661224242886121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1
χ311111111111111111111111111111111-1-1111111111111-1-1-11111-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-111111111-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11-1-111
χ51111111111111111111111111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-11111111-1-111-1-111111-1-1-11-1-1-1-1
χ61111111111111111111111111111-1-1-1-111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-11111111-11111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111-1-1111-11-1111-1-11-1-1-1-111-1
χ10111111111111111111-1-11111-1-1-1-1111111-11-1-111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-111-1-1-11111-11-11-1-11-1-11-1-111-1-11
χ11111111111111111111-1-11111-1-1-1-11111-1-11-11111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-111-1111-11-11
χ12111111111111111111-1-11111-1-1-1-11111-1-1-11-1-111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-111-1-11-1-1111-111-111-11-11-1
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-11-1-111-1-111-1-11111-1-1111-1-1-1-11-1-11111-1-1-111-11-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-1-1-11-1-111-1-111-1-1111111-1-1-111-1-1-111-1-1-11-1-1-1111-111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111-1-111-11-11-1-1-1111-1-111-11-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-111111-11-111-1111-1-1-1-11-11
χ17222222-2-2222222222200-2-2-2-2000022-2-2220000-2-2000000-200002222-2-20000000000022000000-200-20000000
χ18222222-2-2222222222200-2-2-2-2000022-2-2-2-20000-2-20000002000022-2-2-2-200000000000-2-200000020020000000
χ19222222-2-2222222222200-2-2-2-20000-2-222220000-2-2000000-20000-2-2222200000000000-2-2000000-20020000000
χ20222222-2-2222222222200-2-2-2-20000-2-222-2-20000-2-200000020000-2-2-2-2220000000000022000000200-20000000
χ2122222-1222-1-1-122-1-1-1-122-122-1222200002222-1-1-1-1-1-1-1-1-1-12220000-1-1000000-122-1-1-1-1002200-1-1-1-1-1000-10000
χ2222222-1222-1-1-122-1-1-1-122-122-12222000022-2-211-1-1-1-1-1-1-1-12220000-1-10000001-2-2111100-2-20011-1-1-100010000
χ2322222-1222-1-1-122-1-1-1-122-122-122220000-2-222-1-1-1-1-1-1-1-1-1-1-2-2-2000011000000-122-1-1-1-100-2-2001111100010000
χ2422222-1222-1-1-122-1-1-1-122-122-122220000-2-2-2-211-1-1-1-1-1-1-1-1-2-2-20000110000001-2-21111002200-1-1111000-10000
χ2522222-1222-1-1-122-1-1-1-1-2-2-122-1-2-2-2-20000222-2-1-1-1-11111112-2-20000-1-10000001-22-1-111002-200-1-1-11100010000
χ2622222-1222-1-1-122-1-1-1-1-2-2-122-1-2-2-2-2000022-2211-1-11111112-2-20000-1-1000000-12-211-1-100-220011-111000-10000
χ2722222-1222-1-1-122-1-1-1-1-2-2-122-1-2-2-2-20000-2-22-2-1-1-1-1111111-2220000110000001-22-1-11100-2200111-1-1000-10000
χ2822222-1222-1-1-122-1-1-1-1-2-2-122-1-2-2-2-20000-2-2-2211-1-1111111-222000011000000-12-211-1-1002-200-1-11-1-100010000
χ292222-1222-1222-1-1-1-1-1-1222-1-12-1-1-1-12222002222-1-122-1-1-1-100022-1-100-1-1-1-1-1-12-1-1-1-1-1-1000022000000000-1-100
χ302222-1222-1222-1-1-1-1-1-1222-1-12-1-1-1-1222200-2-2-2-2-1-122-1-1-1-100022-1-100-1-1-1-1-1-1-21111110000-2-20000000001100
χ312222-1222-1222-1-1-1-1-1-1222-1-12-1-1-1-1-2-2-2-2002222-1-122-1-1-1-1000-2-211001111112-1-1-1-1-1-10000-2-20000000001100
χ322222-1222-1222-1-1-1-1-1-1222-1-12-1-1-1-1-2-2-2-200-2-2-2-2-1-122-1-1-1-1000-2-21100111111-2111111000022000000000-1-100
χ332222-1222-1222-1-1-1-1-1-1-2-22-1-1211112222002-222-1-1-2-21111000-2-2-1-100-1-11111-21-1-1-11100002-20000000001-100
χ342222-1222-1222-1-1-1-1-1-1-2-22-1-121111222200-22-2-2-1-1-2-21111000-2-2-1-100-1-111112-1111-1-10000-22000000000-1100
χ352222-1222-1222-1-1-1-1-1-1-2-22-1-121111-2-2-2-2002-222-1-1-2-2111100022110011-1-1-1-1-21-1-1-1110000-22000000000-1100
χ362222-1222-1222-1-1-1-1-1-1-2-22-1-121111-2-2-2-200-22-2-2-1-1-2-2111100022110011-1-1-1-12-1111-1-100002-20000000001-100
χ3722-2-2220022-2-2-2-222-2-22−2000022−2−22-2002i−2i0000002−222−2−20−i2i22−22-22i−2i0022−2−200000002i−2i0000000−i2i20−i2i200000
χ3822-2-2220022-2-2-2-222-2-22−2000022−2−22-200−2i2i0000002−222−2−20i2−i22−22-2−2i2i0022−2−20000000−2i2i0000000i2−i20i2−i200000
χ3922-2-2220022-2-2-2-222-2-22−2000022−2−2-22002i−2i0000002−222−2−20−i2i2−22-222i−2i00−2−2220000000−2i2i0000000−i2i20i2−i200000
χ4022-2-2220022-2-2-2-222-2-22−2000022−2−2-2200−2i2i0000002−222−2−20i2−i2−22-22−2i2i00−2−22200000002i−2i0000000i2−i20−i2i200000
χ4122-2-2220022-2-2-2-222-2-2−220000−2−2222-2002i−2i000000−22−2−2220i2−i2−222-22i−2i00−2−22200000002i−2i0000000i2−i20i2−i200000
χ4222-2-2220022-2-2-2-222-2-2−220000−2−2222-200−2i2i000000−22−2−2220−i2i2−222-2−2i2i00−2−2220000000−2i2i0000000−i2i20−i2i200000
χ4322-2-2220022-2-2-2-222-2-2−220000−2−222-22002i−2i000000−22−2−2220i2−i22−2-222i−2i0022−2−20000000−2i2i0000000i2−i20−i2i200000
χ4422-2-2220022-2-2-2-222-2-2−220000−2−222-2200−2i2i000000−22−2−2220−i2i22−2-22−2i2i0022−2−200000002i−2i0000000−i2i20i2−i200000
χ4544444-2-4-44-2-2-244-2-2-2-2002-4-420000000044000022000000-4000000-2-200000000000000000000020000000000
χ4644444-2-4-44-2-2-244-2-2-2-2002-4-4200000000-4-4000022000000400000022000000000000000000000-20000000000
χ474444-24-4-4-2444-2-2-2-2-2-200-422-4000044-4-40000002200000000000-2-20022000000000000000000000000000000
χ484444-24-4-4-2444-2-2-2-2-2-200-422-40000-4-44400000022000000000002200-2-2000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000044-2-211-2-21111000000000000000-2-2-211110000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2000000-4-42211-2-21111000000000000000222-1-1-1-10000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000004-4-2-21122-1-1-1-100000000000000022-211-1-10000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000-44221122-1-1-1-1000000000000000-2-22-1-1110000000000000000000
χ5344-4-44-2004-222-4-4-2-22222−2200002222−22−2200004i−4i000000−22−2−2220−2i22i20000−2i2i0000000000000000000000i2−i200000000
χ5444-4-44-2004-222-4-4-2-22222−2200002222−22−220000−4i4i000000−22−2−22202i2−2i200002i−2i0000000000000000000000−i2i200000000
χ5544-4-44-2004-222-4-4-2-222−22220000−22−22222200004i−4i0000002−222−2−202i2−2i20000−2i2i0000000000000000000000−i2i200000000
χ5644-4-44-2004-222-4-4-2-222−22220000−22−2222220000−4i4i0000002−222−2−20−2i22i200002i−2i0000000000000000000000i2−i200000000
χ5744-4-4-2400-24-4-422-2-22222−220000−2−2224-4000000000022−22−2−22200022−22-220000−2−22200000000000000000000000000
χ5844-4-4-2400-24-4-422-2-22222−220000−2−222-44000000000022−22−2−222000−22222-2000022−2−200000000000000000000000000
χ5944-4-4-2400-24-4-422-2-222−2222000022−2−24-40000000000−222222−2−2000−2222-22000022−2−200000000000000000000000000
χ6044-4-4-2400-24-4-422-2-222−2222000022−2−2-440000000000−222222−2−200022−222-20000−2−22200000000000000000000000000
χ614-44-44400-4-4-44-444-44-40000000000004-4000000000000000000000004-4000000000000000000000000000000
χ624-44-44400-4-4-44-444-44-4000000000000-4400000000000000000000000-44000000000000000000000000000000
χ634-44-4-24002-4-442-2-22-220000006−66−6004-400000000006−66−6000000000-226−66−600000000000000000000000000
χ644-44-4-24002-4-442-2-22-220000006−66−600-4400000000006−66−60000000002-2−66−6600000000000000000000000000
χ654-44-4-24002-4-442-2-22-22000000−66−66004-40000000000−66−66000000000-22−66−6600000000000000000000000000
χ664-44-4-24002-4-442-2-22-22000000−66−6600-440000000000−66−660000000002-26−66−600000000000000000000000000
χ674-4-44444-4-4-44-44-44-4-4400-44-4400000000000000-4400000000000000000000000000000000000000000000000
χ684-4-4444-44-4-44-44-44-4-44004-44-4000000000000004-400000000000000000000000000000000000000000000000
χ694-4-444-24-4-42-224-4-222-20024-4-2000000000000002-20000000000000000000000000000000000−2i32i300000000000
χ704-4-444-24-4-42-224-4-222-20024-4-2000000000000002-200000000000000000000000000000000002i3−2i300000000000
χ714-4-444-2-44-42-224-4-222-200-2-44200000000000023−23-2200000000000000000000000023−23000000000000000000000
χ724-4-444-2-44-42-224-4-222-200-2-442000000000000−2323-22000000000000000000000000−2323000000000000000000000
χ734-4-44-244-42-44-4-22-222-200-4-224000000000000002-20000000000000000023−23−232300000000000000000000000000
χ744-4-44-244-42-44-4-22-222-200-4-224000000000000002-200000000000000000−232323−2300000000000000000000000000
χ754-4-44-24-442-44-4-22-222-20042-2-423−23−23230000000000-220023−23−232300000000000000000000000000000000000000000
χ764-4-44-24-442-44-4-22-222-20042-2-4−232323−230000000000-2200−232323−2300000000000000000000000000000000000000000
χ774-4-44-2-2-4422-22-221-1-1100-22-2223−23−23230000000023−231-100−333−3000000000000000000−333-30000000000000000000
χ784-4-44-2-2-4422-22-221-1-1100-22-2223−23−232300000000−23231-100−333−30000000000000000003−3-330000000000000000000
χ794-4-44-2-2-4422-22-221-1-1100-22-22−232323−230000000023−231-1003−3−33000000000000000000−33-330000000000000000000
χ804-4-44-2-2-4422-22-221-1-1100-22-22−232323−2300000000−23231-1003−3−330000000000000000003−33-30000000000000000000
χ818888-4-4-8-8-4-4-4-4-4-4222200444400000000000000-2-200000000000000000000000000000000000000000000000
χ8288-8-8-4-400-4-4444422-2-242−420000−22−222222000000000000−222222−2−200000000000000000000000000000000000000000
χ8388-8-8-4-400-4-4444422-2-2−424200002222−22−2200000000000022−22−2−22200000000000000000000000000000000000000000
χ848-88-88-400-844-4-88-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-400444-44-42-22-200000026−2626−2600000000000000−66−6600000000000000000000000000000000000000000
χ868-88-8-4-400444-44-42-22-2000000−2626−2626000000000000006−66−600000000000000000000000000000000000000000
χ878-8-88-4-48-844-44-442-2-22004-44-400000000000000-2200000000000000000000000000000000000000000000000

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