Finite Group Databasebeta

← Group #11887314

Character table — Group #11887314

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666888888888888121212121212121212121212121212121616161616161618182424242424242424363636363648484872
order12223344666666366688121212122424242422448888441212121224242424242424446666881212242424241212121212121244244121212242422488612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1111111111-1-11111111111111-1-1-1-1-1-1-111-1-1-1-1-1111-1-1111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111-111111-1-111-1-1-1-1-1-11111111-1-1-11-111111-1-1-1-1-1-11-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111111-1-1-11-111
χ51111111111111111111111111111-1-11111111111111111111-1-1-1-1-111-1-11111111111111-1-11-11-1-1-1-1-1-1-1-1-1-11-11-1
χ61111111111111111111111111111-1-1111111-1-1-1-111111111111-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11-111-1-1-111-1-1-1-11-11
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1111111-1
χ9111111111111111111-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-111111111-1-111-1-1-1-11-1-111-1-111-1-11111-1-1-1-11-1-1-1-111
χ10111111111111111111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-11-1-111111-1-111-1-1-1-1-111-1-1111111-1-1-11-1-1111-1-111-1-1
χ11111111111111111111-1-11111-1-1-1-111-1-111111-11111-1-1-1-1-1-1-111111-1-1-1-1-1-111111-1-111-1-1-1-11-1-1111-1-111-1111-1-1-1
χ12111111111111111111-1-11111-1-1-1-111-1-11111-11-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-111-1-111-1-1-111-1-11-1-1-1-1-111-1111
χ13111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11-11111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-11-1-111-1-1-1-1-111-1-1-11111-111-111-1
χ14111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-11-1-111-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-111-1-111-1-11-1-111-111-1-1-1111-1-11
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-111-1-11111-1-1-1-111-1-11-1-111-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-111-1-11111-1-1111-111111-1-1-1-11-1
χ17222222-2-2222222222200-2-2-2-20000222200000000-2-2000000-200-222-2-20022000000000002200000-20000-2000000
χ18222222-2-2222222222200-2-2-2-2000022-2-200000000-2-2000000200-2222200-2-200000000000-2-200000-200002000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200000000-2-2000000-2002-2-2-2-2002200000000000-2-200000200002000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-200000000-2-20000002002-2-22200-2-200000000000220000020000-2000000
χ2122222-1222-1-122-1-1-1-1-122-122-1-1-1-1-1002222222222-1-122-1-1-1-1200000-1-100-1-1-1-1-1-1-12-1-1-1-1-1002020000000000-10-10
χ2222222-1222-1-122-1-1-1-1-122-122-1-1-1-1-100222222-2-2-2-2-1-122-1-1-1-1200000-1-100-1-1-1-1-1-11-21111100-20-200000000001010
χ2322222-1222-1-122-1-1-1-1-122-122-1-1-1-1-100-2-2-2-2-2-22222-1-122-1-1-1-1-2000001100111111-12-1-1-1-1-100-20-200000000001010
χ2422222-1222-1-122-1-1-1-1-122-122-1-1-1-1-100-2-2-2-2-2-2-2-2-2-2-1-122-1-1-1-1-20000011001111111-211111002020000000000-10-10
χ2522222-1222-1-122-1-1-1-1-1-2-2-122-111110022-2-2-2-22-222-1-1-2-21111200000-1-100-1-11111-1-21-1-11100-202000000000010-10
χ2622222-1222-1-122-1-1-1-1-1-2-2-122-111110022-2-2-2-2-22-2-2-1-1-2-21111200000-1-100-1-1111112-111-1-10020-20000000000-1010
χ2722222-1222-1-122-1-1-1-1-1-2-2-122-1111100-2-222222-222-1-1-2-21111-200000110011-1-1-1-1-1-21-1-1110020-20000000000-1010
χ2822222-1222-1-122-1-1-1-1-1-2-2-122-1111100-2-22222-22-2-2-1-1-2-21111-200000110011-1-1-1-112-111-1-100-202000000000010-10
χ292222-1222-122-1-12-1-1-1-1222-1-1222222200000022-1-1-1-1-1-1-1-1-1-10222-1-100220000002-12-1-1-1-100020-1-1-1-1-1000000-100
χ302222-1222-122-1-12-1-1-1-1222-1-12222222000000-2-211-1-1-1-1-1-1-1-10-2-22-1-10022000000-21-21111000-2011-1-1-1000000100
χ312222-1222-122-1-12-1-1-1-1222-1-122222-2-200000022-1-1-1-1-1-1-1-1-1-10-2-2-21100-2-20000002-12-1-1-1-1000-2011111000000100
χ322222-1222-122-1-12-1-1-1-1222-1-122222-2-2000000-2-211-1-1-1-1-1-1-1-1022-21100-2-2000000-21-2111100020-1-1111000000-100
χ332222-1222-122-1-12-1-1-1-1-2-22-1-12-2-2-2-2220000002-2-1-1-1-11111110222-1-100-2-200000021-2-1-111000-20-1-1-111000000100
χ342222-1222-122-1-12-1-1-1-1-2-22-1-12-2-2-2-222000000-2211-1-11111110-2-22-1-100-2-2000000-2-1211-1-10002011-111000000-100
χ352222-1222-122-1-12-1-1-1-1-2-22-1-12-2-2-2-2-2-20000002-2-1-1-1-11111110-2-2-211002200000021-2-1-11100020111-1-1000000-100
χ362222-1222-122-1-12-1-1-1-1-2-22-1-12-2-2-2-2-2-2000000-2211-1-1111111022-2110022000000-2-1211-1-1000-20-1-11-1-1000000100
χ3722-2-22200-22-22-2-22-22-2−i2i20000−i2−i2i2i22-22i−2i22−2−2000000−i2i2−i2−i2i2i200002-200−i2i22i−2i22−2−200000002i−2i000000−i2i20002−20000
χ3822-2-22200-22-22-2-22-22-2−i2i20000−i2−i2i2i22-2−2i2i−2−222000000−i2i2−i2−i2i2i200002-200−i2i2−2i2i−2−2220000000−2i2i000000−i2i2000−220000
χ3922-2-22200-22-22-2-22-22-2−i2i20000−i2−i2i2i2-222i−2i22−2−2000000−i2i2−i2−i2i2i20000-2200i2−i22i−2i22−2−20000000−2i2i000000i2−i2000−220000
χ4022-2-22200-22-22-2-22-22-2−i2i20000−i2−i2i2i2-22−2i2i−2−222000000−i2i2−i2−i2i2i20000-2200i2−i2−2i2i−2−22200000002i−2i000000i2−i20002−20000
χ4122-2-22200-22-22-2-22-22-2i2−i20000i2i2−i2−i22-22i−2i−2−222000000i2−i2i2i2−i2−i200002-200i2−i22i−2i−2−22200000002i−2i000000i2−i2000−220000
χ4222-2-22200-22-22-2-22-22-2i2−i20000i2i2−i2−i22-2−2i2i22−2−2000000i2−i2i2i2−i2−i200002-200i2−i2−2i2i22−2−20000000−2i2i000000i2−i20002−20000
χ4322-2-22200-22-22-2-22-22-2i2−i20000i2i2−i2−i2-222i−2i−2−222000000i2−i2i2i2−i2−i20000-2200−i2i22i−2i−2−2220000000−2i2i000000−i2i20002−20000
χ4422-2-22200-22-22-2-22-22-2i2−i20000i2i2−i2−i2-22−2i2i22−2−2000000i2−i2i2i2−i2−i20000-2200−i2i2−2i2i22−2−200000002i−2i000000−i2i2000−220000
χ452-22-2222-2-2-2-2-22222-2-2002-22-2000000002i−2i2i−2i00002-200000002i−2i0000000002i−2i2i−2i0000000000002i−2i0002-20000000
χ462-22-2222-2-2-2-2-22222-2-2002-22-2000000002i−2i2i−2i00002-20000000−2i2i0000000002i−2i2i−2i000000000000−2i2i000-220000000
χ472-22-2222-2-2-2-2-22222-2-2002-22-200000000−2i2i−2i2i00002-200000002i−2i000000000−2i2i−2i2i0000000000002i−2i000-220000000
χ482-22-2222-2-2-2-2-22222-2-2002-22-200000000−2i2i−2i2i00002-20000000−2i2i000000000−2i2i−2i2i000000000000−2i2i0002-20000000
χ4944444-2-4-44-2-244-2-2-2-2-2002-4-42000000440000000022000000-4000002200-2-2000000000000000000000000000000
χ5044444-2-4-44-2-244-2-2-2-2-2002-4-42000000-4-40000000022000000400000-2-20022000000000000000000000000000000
χ514444-24-4-4-244-2-24-2-2-2-200-422-4000044000000000022000000000-4-2-2000000000000000000000000200000000000
χ524444-24-4-4-244-2-24-2-2-2-200-422-40000-4-4000000000022000000000422000000000000000000000000-200000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000000044-2-211-2-211110000000000000000-2-2-211110000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000-4-42211-2-211110000000000000000222-1-1-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4-2-21122-1-1-1-10000000000000000-22211-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-44221122-1-1-1-100000000000000002-2-2-1-1110000000000000000000
χ5744-4-44-200-4-224-42-22-22−2i22i20000i2i2−i2−i2004i−4i2222−22−22000000−2i22i2i2i2−i2−i20000000000−2i2i−2−22200000000000000000000000000
χ5844-4-44-200-4-224-42-22-22−2i22i20000i2i2−i2−i200−4i4i−22−222222000000−2i22i2i2i2−i2−i200000000002i−2i22−2−200000000000000000000000000
χ5944-4-44-200-4-224-42-22-222i2−2i20000−i2−i2i2i2004i−4i−22−2222220000002i2−2i2−i2−i2i2i20000000000−2i2i22−2−200000000000000000000000000
χ6044-4-44-200-4-224-42-22-222i2−2i20000−i2−i2i2i200−4i4i2222−22−220000002i2−2i2−i2−i2i2i200000000002i−2i−2−22200000000000000000000000000
χ6144-4-4-240024-4-22-4-22-22−2i22i20000−2i2−2i22i22i24-4000000000000i2−i2i2i2−i2−i20000-2200−2i22i2000000000000000000000i2−i2000000000
χ6244-4-4-240024-4-22-4-22-22−2i22i20000−2i2−2i22i22i2-44000000000000i2−i2i2i2−i2−i200002-2002i2−2i2000000000000000000000−i2i2000000000
χ6344-4-4-240024-4-22-4-22-222i2−2i200002i22i2−2i2−2i24-4000000000000−i2i2−i2−i2i2i20000-22002i2−2i2000000000000000000000−i2i2000000000
χ6444-4-4-240024-4-22-4-22-222i2−2i200002i22i2−2i2−2i2-44000000000000−i2i2−i2−i2i2i200002-200−2i22i2000000000000000000000i2−i2000000000
χ654-44-444-44-4-4-4-44444-4-400-44-440000000000000000-44000000000000000000000000000000000000000000000000
χ664-44-44-24-4-422-44-2-2-22200-2-442000000004i−4i4i−4i0000-22000000000000000000−2i2i−2i2i00000000000000000000000000
χ674-44-44-24-4-422-44-2-2-22200-2-44200000000−4i4i−4i4i0000-220000000000000000002i−2i2i−2i00000000000000000000000000
χ684-44-44-2-44-422-44-2-2-2220024-4-2−2i32i3−2i32i30000000000002-200−2i32i3−2i32i3000000000000000000000000000000000000000000
χ694-44-44-2-44-422-44-2-2-2220024-4-22i3−2i32i3−2i30000000000002-2002i3−2i32i3−2i3000000000000000000000000000000000000000000
χ704-44-4-244-42-4-42-24-2-2220042-2-40000000000000000-2200000004i−4i0000000000000000000000000−2i2i000000000000
χ714-44-4-244-42-4-42-24-2-2220042-2-40000000000000000-220000000−4i4i00000000000000000000000002i−2i000000000000
χ724-44-4-24-442-4-42-24-2-22200-4-2240000000000000023−232-2000000000000000000000000023−23000000000000000000000
χ734-44-4-24-442-4-42-24-2-22200-4-22400000000000000−23232-20000000000000000000000000−2323000000000000000000000
χ744-44-4-2-2-442222-2-211-1-1002-22-2−2i32i3−2i32i3000000000023−23-1100i3−i3i3−i30000000000000000000−333i−3i0000000000000000000
χ754-44-4-2-2-442222-2-211-1-1002-22-2−2i32i3−2i32i30000000000−2323-1100i3−i3i3−i300000000000000000003−3−3i3i0000000000000000000
χ764-44-4-2-2-442222-2-211-1-1002-22-22i3−2i32i3−2i3000000000023−23-1100−i3i3−i3i30000000000000000000−33−3i3i0000000000000000000
χ774-44-4-2-2-442222-2-211-1-1002-22-22i3−2i32i3−2i30000000000−2323-1100−i3i3−i3i300000000000000000003−33i−3i0000000000000000000
χ784-4-4444004-44-4-4-44-4-4400000000000000−2i22i22i2−2i2000000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ794-4-4444004-44-4-4-44-4-44000000000000002i2−2i2−2i22i20000000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ804-4-444-20042-2-4-42-222-20000006−6−660000−2i22i22i2−2i2000000006−6−66000000−2i32i30000i2−i2−i2i200000000000000000000000000
χ814-4-444-20042-2-4-42-222-20000006−6−6600002i2−2i2−2i22i2000000006−6−660000002i3−2i30000−i2i2i2−i200000000000000000000000000
χ824-4-444-20042-2-4-42-222-2000000−666−60000−2i22i22i2−2i200000000−666−60000002i3−2i30000i2−i2−i2i200000000000000000000000000
χ834-4-444-20042-2-4-42-222-2000000−666−600002i2−2i2−2i22i200000000−666−6000000−2i32i30000−i2i2i2−i200000000000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000000
χ8588-8-8-4-4004-44-4442-22-2−4i24i200002i22i2−2i2−2i2000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ8688-8-8-4-4004-44-4442-22-24i2−4i20000−2i2−2i22i22i200000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ878-88-8-4-48-84444-4-422-2-200-44-4400000000000000002-2000000000000000000000000000000000000000000000000
χ888-8-88-4800-4-8844-8-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400-44-44442-2-2200000026−26−26260000000000000000−666−6000000000000000000000000000000000000000000
χ908-8-88-4-400-44-44442-2-22000000−262626−2600000000000000006−6−66000000000000000000000000000000000000000000

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