Finite Group Databasebeta

← Group #11895987

Character table — Group #11895987

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466888888888888121212121212121212121212121212121216161616161616242424242424242424363636364848487272
order1222334466666636668812121212242424244424661212242424242424444448812121212121224242424666121212122448121212242444446121228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1111111-1-1111111111111-11-1-1-1-1-1-1-1-1-1-11-11-1-1
χ3111111111111111111111111111111-1-1-1-111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11
χ4111111111111111111111111111111-1-1-1-1111111111-1-111111111-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1-11-11-1
χ51111111111111111111111111111-1-1111111111111-11111-1-1-1-1-1-111-1-1-1-11111111-11-1111111-1-1-1-1-11-1-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-11-111-1
χ81111111111111111111111111111-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-11
χ9111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-111111-1-1111111-1-1-1-1111-1-1-1-11-1-1-1111-1-1-1-1111-1-11-1
χ10111111111111111111-1-11111-1-1-1-1111-11111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1-111-11-1-1-11111-1-111-1-11
χ11111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-11111-111-11-1-1-1-11111-111-1-1
χ12111111111111111111-1-11111-1-1-1-111-11-1-111-1-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-1-1-1-11111-1-111-11111-1-1-1-1-1-1111
χ13111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1111111-1-1-1-1111111111-1-1-1-1-1-11-1111-1-111-1-1-1-11-11
χ14111111111111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1-1-1-1111-1-1-111-1-111-1111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1111111-1-11-1-1-1-1-1-1-1-111-111
χ16111111111111111111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-111111-1-11-1111111111-1-1-1-1
χ17222222-2-2222222222200-2-2-2-20000220000-2-2000000-22-20000-2-222-2-200000000000000020000002-200000
χ18222222-2-2222222222200-2-2-2-20000220000-2-2000000-2-220000-2-22222000000000000000-2000000-2200000
χ19222222-2-2222222222200-2-2-2-20000-2-20000-2-200000022-2000022-2-2-2-20000000000000002000000-2200000
χ20222222-2-2222222222200-2-2-2-20000-2-20000-2-20000002-22000022-2-222000000000000000-20000002-200000
χ2122222-1222-1-122-1-1-1-1-1222-1-12-1-1-1-1222222-1-122-1-1-1-12000022-1-1-1-100-1-1-1-1-1-1-12-1-1-12020000000000-10-100
χ2222222-1222-1-122-1-1-1-1-1222-1-12-1-1-1-122-2-2-2-2-1-122-1-1-1-12000022-1-1-1-100-1-1-1-1111-2111-20-2000000000010100
χ2322222-1222-1-122-1-1-1-1-1222-1-12-1-1-1-1-2-22222-1-122-1-1-1-1-20000-2-21111001111-1-1-12-1-1-1-20-2000000000010100
χ2422222-1222-1-122-1-1-1-1-1222-1-12-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-1-20000-2-21111001111111-21112020000000000-10-100
χ2522222-1222-1-122-1-1-1-1-1-2-22-1-121111222-222-1-1-2-2111120000-2-2-1-1-1-1001111-1-1-1-211120-20000000000-10100
χ2622222-1222-1-122-1-1-1-1-1-2-22-1-12111122-22-2-2-1-1-2-2111120000-2-2-1-1-1-10011111112-1-1-1-202000000000010-100
χ2722222-1222-1-122-1-1-1-1-1-2-22-1-121111-2-22-222-1-1-2-21111-2000022111100-1-1-1-1-1-1-1-2111-202000000000010-100
χ2822222-1222-1-122-1-1-1-1-1-2-22-1-121111-2-2-22-2-2-1-1-2-21111-2000022111100-1-1-1-11112-1-1-120-20000000000-10100
χ292222-1222-122-1-12-1-1-1-122-122-122220022-1-1-1-1-1-1-1-1-1-102222000000-1-100002-1-1-12-1-10202-1-1-1-1-100000-1000
χ302222-1222-122-1-12-1-1-1-122-122-122220022-1-1-1-1-1-1-1-1-1-10-2-2-2-20000001100002-1-1-12-1-10-20-211111000001000
χ312222-1222-122-1-12-1-1-1-122-122-1222200-2-211-1-1-1-1-1-1-1-1022-2-2000000-1-10000-2111-2110-202-111-1-1000001000
χ322222-1222-122-1-12-1-1-1-122-122-1222200-2-211-1-1-1-1-1-1-1-10-2-222000000110000-2111-211020-21-1-11100000-1000
χ332222-1222-122-1-12-1-1-1-1-2-2-122-1-2-2-2-2002-2-1-1-1-111111102222000000-1-100002-1-11-2110-20-2-1-1-111000001000
χ342222-1222-122-1-12-1-1-1-1-2-2-122-1-2-2-2-2002-2-1-1-1-11111110-2-2-2-20000001100002-1-11-2110202111-1-100000-1000
χ352222-1222-122-1-12-1-1-1-1-2-2-122-1-2-2-2-200-2211-1-1111111022-2-2000000-1-10000-211-12-1-1020-2-1111100000-1000
χ362222-1222-122-1-12-1-1-1-1-2-2-122-1-2-2-2-200-2211-1-11111110-2-222000000110000-211-12-1-10-2021-1-1-1-1000001000
χ3722-2-222-2222-2-2-2-22-22-200-22-220000000000-220000000002i−2i2i−2i0000002i2i−2i−2i0000000000002i−2i002-20000000
χ3822-2-222-2222-2-2-2-22-22-200-22-220000000000-220000000002i−2i−2i2i000000−2i−2i2i2i0000000000002i−2i00-220000000
χ3922-2-222-2222-2-2-2-22-22-200-22-220000000000-22000000000−2i2i2i−2i0000002i2i−2i−2i000000000000−2i2i00-220000000
χ4022-2-222-2222-2-2-2-22-22-200-22-220000000000-22000000000−2i2i−2i2i000000−2i−2i2i2i000000000000−2i2i002-20000000
χ4144444-2-4-44-2-244-2-2-2-2-200-422-4000044000022000000-400000022-2-20000000000000000000000000000000
χ4244444-2-4-44-2-244-2-2-2-2-200-422-40000-4-40000220000004000000-2-2220000000000000000000000000000000
χ434444-24-4-4-244-2-24-2-2-2-2002-4-4200000000002200000004-40000000022000000000000000-20000000000000
χ444444-24-4-4-244-2-24-2-2-2-2002-4-420000000000220000000-4400000000-2-200000000000000020000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20044-2-211-2-2111100000000000000000-211-2-211000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-42211-2-21111000000000000000002-1-122-1-1000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4-2-21122-1-1-1-100000000000000000-21122-1-1000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-44221122-1-1-1-1000000000000000002-1-1-2-211000000000000000000
χ4944-4-4444-444-4-4-4-44-44-4004-44-400000000004-4000000000000000000000000000000000000000000000000
χ5044-4-44-24-44-22-4-42-22-220042-2-42323−23−23000000-22002323−23−23000000000000000000000000000000000000000000
χ5144-4-44-24-44-22-4-42-22-220042-2-4−23−232323000000-2200−23−232323000000000000000000000000000000000000000000
χ5244-4-44-2-444-22-4-42-22-2200-4-22400000000002-2000000000004i−4i000000−2i−2i2i2i0000000000000000000000000
χ5344-4-44-2-444-22-4-42-22-2200-4-22400000000002-200000000000−4i4i0000002i2i−2i−2i0000000000000000000000000
χ5444-4-4-244-4-24-422-4-22-2200-2-44200000000−2i32i3-22000000000000000000000000−2i32i30000000000000000000000
χ5544-4-4-244-4-24-422-4-22-2200-2-442000000002i3−2i3-220000000000000000000000002i3−2i30000000000000000000000
χ5644-4-4-24-44-24-422-4-22-220024-4-200000000002-20000000004i−4i000000000000000000000000−2i2i00000000000
χ5744-4-4-24-44-24-422-4-22-220024-4-200000000002-2000000000−4i4i0000000000000000000000002i−2i00000000000
χ5844-4-4-2-24-4-2-222221-11-100-22-222323−23−230000−2i32i31-100−3−333000000000000000000i3−i3003i−3i000000000000000000
χ5944-4-4-2-24-4-2-222221-11-100-22-222323−23−2300002i3−2i31-100−3−333000000000000000000−i3i300−3i3i000000000000000000
χ6044-4-4-2-24-4-2-222221-11-100-22-22−23−2323230000−2i32i31-10033−3−3000000000000000000i3−i300−3i3i000000000000000000
χ6144-4-4-2-24-4-2-222221-11-100-22-22−23−23232300002i3−2i31-10033−3−3000000000000000000−i3i3003i−3i000000000000000000
χ624-44-44400-4-444-4-444-4-4−2i22i20000−2i22i2−2i22i200000000−2i22i2−2i22i2−2i22i2000000000000000000000000000000000000000000
χ634-44-44400-4-444-4-444-4-42i2−2i200002i2−2i22i2−2i2000000002i2−2i22i2−2i22i2−2i2000000000000000000000000000000000000000000
χ644-44-44-200-42-24-42-2-222−2i22i20000i2−i2i2−i200000000−2i22i2i2−i2i2−i20000000−2i32i300006−66−60000000000000000000000000
χ654-44-44-200-42-24-42-2-222−2i22i20000i2−i2i2−i200000000−2i22i2i2−i2i2−i200000002i3−2i30000−66−660000000000000000000000000
χ664-44-44-200-42-24-42-2-2222i2−2i20000−i2i2−i2i2000000002i2−2i2−i2i2−i2i20000000−2i32i30000−66−660000000000000000000000000
χ674-44-44-200-42-24-42-2-2222i2−2i20000−i2i2−i2i2000000002i2−2i2−i2i2−i2i200000002i3−2i300006−66−60000000000000000000000000
χ684-44-4-24002-44-22-4-2-222−2i22i20000−2i22i2−2i22i200000000i2−i2i2−i2i2−i20000000000023−23000000000000000000i6−i6000000000
χ694-44-4-24002-44-22-4-2-222−2i22i20000−2i22i2−2i22i200000000i2−i2i2−i2i2−i200000000000−2323000000000000000000−i6i6000000000
χ704-44-4-24002-44-22-4-2-2222i2−2i200002i2−2i22i2−2i200000000−i2i2−i2i2−i2i20000000000023−23000000000000000000−i6i6000000000
χ714-44-4-24002-44-22-4-2-2222i2−2i200002i2−2i22i2−2i200000000−i2i2−i2i2−i2i200000000000−2323000000000000000000i6−i6000000000
χ724-4-444400-4-4-4-4444-4-4400000000004-40000000000000000000004-40000000000000000000000000000000
χ734-4-444400-4-4-4-4444-4-440000000000-44000000000000000000000-440000000000000000000000000000000
χ744-4-444-200-422-44-2-222-2000000i6−i6−i6i64-400000000i6−i6−i6i6000000000-2200i6−i6−i6i60000000000000000000000000
χ754-4-444-200-422-44-2-222-2000000i6−i6−i6i6-4400000000i6−i6−i6i60000000002-200−i6i6i6−i60000000000000000000000000
χ764-4-444-200-422-44-2-222-2000000−i6i6i6−i64-400000000−i6i6i6−i6000000000-2200−i6i6i6−i60000000000000000000000000
χ774-4-444-200-422-44-2-222-2000000−i6i6i6−i6-4400000000−i6i6i6−i60000000002-200i6−i6−i6i60000000000000000000000000
χ788888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7988-8-8-4-4-88-4-444442-22-2004-44-40000000000-22000000000000000000000000000000000000000000000000
χ808-88-8-4-40044-4-44422-2-2−4i24i200002i2−2i22i2−2i2000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000000
χ818-88-8-4-40044-4-44422-2-24i2−4i20000−2i22i2−2i22i200000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000000
χ828-8-88-48004-8-84-48-444-4000000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4004444-4-42-2-220000002i6−2i6−2i62i60000000000−i6i6i6−i6000000000000000000000000000000000000000000
χ848-8-88-4-4004444-4-42-2-22000000−2i62i62i6−2i60000000000i6−i6−i6i6000000000000000000000000000000000000000000

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