Finite Group Databasebeta

← Group #11895681

Character table — Group #11895681

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666888888888888121212121212121212121212121212121616161616161618182424242424242424363636363648484872
order122233446666663666881212121224242424444488884412121212242424242424444488121212121212242424241212121212121244244121212242444488612122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111111111-1-1111111111111-1-1-1-1-1-1-111-1-1-11-1-111-1-1111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111-111111-1-1-1-111-1-1-1-11111111-1-1-11-111111-1-1-1-1-1-1-11-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-1-111-11
χ51111111111111111111111111111-1-11111111111111111111-1-1-1-1-11111-1-111111111111-1-11-11-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-1111111-1-1-1-1111111111-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-111
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
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-1111111-1
χ9111111111111111111-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-11111-1-1111111-1-1-1-11-1-1-1-111111-1-1111-1-1-1-11-1-11-1-11
χ10111111111111111111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-11111-1-111-1111-1-1-1-1111-1-1-111-1
χ11111111111111111111-1-11111-1-1-1-111-1-111111-11111-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-11111-1-111-111-11-1-1
χ12111111111111111111-1-11111-1-1-1-111-1-11111-11-1-111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-11111-1-1-1-111-11-1-1-1-1-1-1-1111-111
χ13111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11-11111-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-11111-1111-11-1
χ14111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-11-1-111-1-1-1-1-1-11-111111111-1-1-1-1-1-1-11111-1-1-1-1-1-11-11111-1-1-111-11-11
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-1-11111-111-1-1-111-1-11-1-1-1111
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11111-1-1111-1-1-11111111-1-11-1-1-1
χ17222222-2-2222222222200-2-2-2-20000222200000000-2-2000000-2-20000-2-222220000000000022000-2000000-2000000
χ18222222-2-2222222222200-2-2-2-2000022-2-200000000-2-20000002-2000022-2-22200000000000-2-2000-20000002000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200000000-2-2000000-220000-2-222-2-200000000000-2-200020000002000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-200000000-2-200000022000022-2-2-2-200000000000220002000000-2000000
χ2122222-1222-1-12-12-1-1-1-1222-1-12-1-1-1-1002222222222-1-122-1-1-1-1200000-1-1-1-100-1-1-1-1-1-12-1-1-1-1002020000000000-1-100
χ2222222-1222-1-12-12-1-1-1-1222-1-12-1-1-1-100222222-2-2-2-2-1-122-1-1-1-1200000-1-1-1-100-1-1-1-111-2111100-20-200000000001100
χ2322222-1222-1-12-12-1-1-1-1222-1-12-1-1-1-100-2-2-2-2-2-22222-1-122-1-1-1-1-2000001111001111-1-12-1-1-1-100-20-200000000001100
χ2422222-1222-1-12-12-1-1-1-1222-1-12-1-1-1-100-2-2-2-2-2-2-2-2-2-2-1-122-1-1-1-1-200000111100111111-21111002020000000000-1-100
χ2522222-1222-1-12-12-1-1-1-1-2-22-1-1211110022-2-2-2-22-222-1-1-2-21111200000-1-1-1-1001111-11-211-1-10020-20000000000-1100
χ2622222-1222-1-12-12-1-1-1-1-2-22-1-1211110022-2-2-2-2-22-2-2-1-1-2-21111200000-1-1-1-10011111-12-1-11100-20200000000001-100
χ2722222-1222-1-12-12-1-1-1-1-2-22-1-12111100-2-222222-222-1-1-2-21111-200000111100-1-1-1-1-11-211-1-100-20200000000001-100
χ2822222-1222-1-12-12-1-1-1-1-2-22-1-12111100-2-22222-22-2-2-1-1-2-21111-200000111100-1-1-1-11-12-1-1110020-20000000000-1100
χ292222-1222-122-12-1-1-1-1-122-122-122222200000022-1-1-1-1-1-1-1-1-1-10222220000-1-1000022-1-1-1-1-100020-1-1-1-1-10000000-10
χ302222-1222-122-12-1-1-1-1-122-122-1222222000000-2-211-1-1-1-1-1-1-1-102-2-2220000-1-10000-2-211111000-20-111-1-1000000010
χ312222-1222-122-12-1-1-1-1-122-122-12222-2-200000022-1-1-1-1-1-1-1-1-1-10-2-2-2-2-2000011000022-1-1-1-1-1000-2011111000000010
χ322222-1222-122-12-1-1-1-1-122-122-12222-2-2000000-2-211-1-1-1-1-1-1-1-10-222-2-20000110000-2-211111000201-1-1110000000-10
χ332222-1222-122-12-1-1-1-1-1-2-2-122-1-2-2-2-2220000002-2-1-1-1-11111110222-2-20000-1-100002-2111-1-1000-20-1-1-111000000010
χ342222-1222-122-12-1-1-1-1-1-2-2-122-1-2-2-2-222000000-2211-1-111111102-2-2-2-20000-1-10000-22-1-1-11100020-111110000000-10
χ352222-1222-122-12-1-1-1-1-1-2-2-122-1-2-2-2-2-2-20000002-2-1-1-1-11111110-2-2-22200001100002-2111-1-100020111-1-10000000-10
χ362222-1222-122-12-1-1-1-1-1-2-2-122-1-2-2-2-2-2-2000000-2211-1-11111110-222220000110000-22-1-1-111000-201-1-1-1-1000000010
χ3722-2-222-2222-2-2-2-22-2-2200-22-22000000002i2i−2i−2i0000-22000000002i−2i000000002i2i−2i−2i00000000000002i−2i002-20000000
χ3822-2-222-2222-2-2-2-22-2-2200-22-22000000002i2i−2i−2i0000-2200000000−2i2i000000002i2i−2i−2i0000000000000−2i2i00-220000000
χ3922-2-222-2222-2-2-2-22-2-2200-22-2200000000−2i−2i2i2i0000-22000000002i−2i00000000−2i−2i2i2i00000000000002i−2i00-220000000
χ4022-2-222-2222-2-2-2-22-2-2200-22-2200000000−2i−2i2i2i0000-2200000000−2i2i00000000−2i−2i2i2i0000000000000−2i2i002-20000000
χ412-22-22200-2-22-2-222-22-2−i2i20000−i2−i2i2i22-22i−2i2−22−2000000−i2i2−i2−i2i2i20000−i2i2002i−2i2-22−22−200000002i−2i000000−i2i20002−20000
χ422-22-22200-2-22-2-222-22-2−i2i20000−i2−i2i2i22-2−2i2i−22−22000000−i2i2−i2−i2i2i20000−i2i200−2i2i2-2−22−220000000−2i2i000000−i2i2000−220000
χ432-22-22200-2-22-2-222-22-2−i2i20000−i2−i2i2i2-222i−2i2−22−2000000−i2i2−i2−i2i2i20000i2−i2002i−2i-222−22−20000000−2i2i000000i2−i2000−220000
χ442-22-22200-2-22-2-222-22-2−i2i20000−i2−i2i2i2-22−2i2i−22−22000000−i2i2−i2−i2i2i20000i2−i200−2i2i-22−22−2200000002i−2i000000i2−i20002−20000
χ452-22-22200-2-22-2-222-22-2i2−i20000i2i2−i2−i22-22i−2i−22−22000000i2−i2i2i2−i2−i20000i2−i2002i−2i2-2−22−2200000002i−2i000000i2−i2000−220000
χ462-22-22200-2-22-2-222-22-2i2−i20000i2i2−i2−i22-2−2i2i2−22−2000000i2−i2i2i2−i2−i20000i2−i200−2i2i2-22−22−20000000−2i2i000000i2−i20002−20000
χ472-22-22200-2-22-2-222-22-2i2−i20000i2i2−i2−i2-222i−2i−22−22000000i2−i2i2i2−i2−i20000−i2i2002i−2i-22−22−220000000−2i2i000000−i2i20002−20000
χ482-22-22200-2-22-2-222-22-2i2−i20000i2i2−i2−i2-22−2i2i2−22−2000000i2−i2i2i2−i2−i20000−i2i200−2i2i-222−22−200000002i−2i000000−i2i2000−220000
χ4944444-2-4-44-2-24-24-2-2-2-200-422-4000000440000000022000000-40000022-2-200000000000000000000000000000000
χ5044444-2-4-44-2-24-24-2-2-2-200-422-4000000-4-40000000022000000400000-2-22200000000000000000000000000000000
χ514444-24-4-4-244-24-2-2-2-2-2002-4-420000440000000000220000000-400000000-2-2000000000000000020000000000000
χ524444-24-4-4-244-24-2-2-2-2-2002-4-420000-4-40000000000220000000400000000220000000000000000-20000000000000
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
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4-2-21122-1-1-1-10000000000000000-222-1-1110000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-44221122-1-1-1-100000000000000002-2-211-1-10000000000000000000
χ5744-4-4444-444-4-4-4-44-4-44004-44-400000000000000004-4000000000000000000000000000000000000000000000000
χ5844-4-44-24-44-22-42-4-222-20042-2-423−2323−23000000000000-220023−2323−23000000000000000000000000000000000000000000
χ5944-4-44-24-44-22-42-4-222-20042-2-4−2323−2323000000000000-2200−2323−2323000000000000000000000000000000000000000000
χ6044-4-44-2-444-22-42-4-222-200-4-224000000004i4i−4i−4i00002-2000000000000000000−2i−2i2i2i00000000000000000000000000
χ6144-4-44-2-444-22-42-4-222-200-4-22400000000−4i−4i4i4i00002-20000000000000000002i2i−2i−2i00000000000000000000000000
χ6244-4-4-244-4-24-42-42-222-200-2-44200000000000000−2i32i3-22000000000000000000000000000−2i32i30000000000000000000
χ6344-4-4-244-4-24-42-42-222-200-2-442000000000000002i3−2i3-220000000000000000000000000002i3−2i30000000000000000000
χ6444-4-4-24-44-24-42-42-222-20024-4-200000000000000002-2000000004i−4i0000000000000000000000000−2i2i00000000000
χ6544-4-4-24-44-24-42-42-222-20024-4-200000000000000002-200000000−4i4i00000000000000000000000002i−2i00000000000
χ6644-4-4-2-24-4-2-222221-1-1100-22-2223−2323−230000000000−2i32i31-100−33−3300000000000000000003i−3ii3−i30000000000000000000
χ6744-4-4-2-24-4-2-222221-1-1100-22-2223−2323−2300000000002i3−2i31-100−33−330000000000000000000−3i3i−i3i30000000000000000000
χ6844-4-4-2-24-4-2-222221-1-1100-22-22−2323−23230000000000−2i32i31-1003−33−30000000000000000000−3i3ii3−i30000000000000000000
χ6944-4-4-2-24-4-2-222221-1-1100-22-22−2323−232300000000002i3−2i31-1003−33−300000000000000000003i−3i−i3i30000000000000000000
χ704-44-44-200-42-2-424-22-22−2i22i20000i2i2−i2−i2004i−4i22−2222−22000000−2i22i2i2i2−i2−i200000000−2i2i00−22−2200000000000000000000000000
χ714-44-44-200-42-2-424-22-22−2i22i20000i2i2−i2−i200−4i4i−2222−2222000000−2i22i2i2i2−i2−i2000000002i−2i002−22−200000000000000000000000000
χ724-44-44-200-42-2-424-22-222i2−2i20000−i2−i2i2i2004i−4i−2222−22220000002i2−2i2−i2−i2i2i200000000−2i2i002−22−200000000000000000000000000
χ734-44-44-200-42-2-424-22-222i2−2i20000−i2−i2i2i200−4i4i22−2222−220000002i2−2i2−i2−i2i2i2000000002i−2i00−22−2200000000000000000000000000
χ744-44-4-24002-442-4-2-22-22−2i22i20000−2i2−2i22i22i24-4000000000000i2−i2i2i2−i2−i20000−2i22i20000-220000000000000000000i2−i2000000000
χ754-44-4-24002-442-4-2-22-22−2i22i20000−2i2−2i22i22i2-44000000000000i2−i2i2i2−i2−i200002i2−2i200002-20000000000000000000−i2i2000000000
χ764-44-4-24002-442-4-2-22-222i2−2i200002i22i2−2i2−2i24-4000000000000−i2i2−i2−i2i2i200002i2−2i20000-220000000000000000000−i2i2000000000
χ774-44-4-24002-442-4-2-22-222i2−2i200002i22i2−2i2−2i2-44000000000000−i2i2−i2−i2i2i20000−2i22i200002-20000000000000000000i2−i2000000000
χ784-4-444400-4-4-444-444-4-400000000000000−2i22i22i2−2i2000000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ794-4-444400-4-4-444-444-4-4000000000000002i2−2i2−2i22i20000000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ804-4-444-200-4224-2-4-2-222000000i6−i6−i6i60000−2i22i22i2−2i200000000i6−i6−i6i600000023−230000i2−i2−i2i200000000000000000000000000
χ814-4-444-200-4224-2-4-2-222000000i6−i6−i6i600002i2−2i2−2i22i200000000i6−i6−i6i6000000−23230000−i2i2i2−i200000000000000000000000000
χ824-4-444-200-4224-2-4-2-222000000−i6i6i6−i60000−2i22i22i2−2i200000000−i6i6i6−i6000000−23230000i2−i2−i2i200000000000000000000000000
χ834-4-444-200-4224-2-4-2-222000000−i6i6i6−i600002i2−2i2−2i22i200000000−i6i6i6−i600000023−230000−i2i2i2−i200000000000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000000
χ8588-8-8-4-4-88-4-444442-2-22004-44-40000000000000000-22000000000000000000000000000000000000000000000000
χ868-88-8-4-40044-444-42-22-2−4i24i200002i22i2−2i2−2i2000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ878-88-8-4-40044-444-42-22-24i2−4i20000−2i2−2i22i22i200000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ888-8-88-48004-8-8-484-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400444-4-4422-2-20000002i6−2i6−2i62i60000000000000000−i6i6i6−i6000000000000000000000000000000000000000000
χ908-8-88-4-400444-4-4422-2-2000000−2i62i62i6−2i60000000000000000i6−i6−i6i6000000000000000000000000000000000000000000

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