Finite Group Databasebeta

← Group #11889144

Character table — Group #11889144

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444444666666888888888888888121212121212121212121212121212161616161624242424242424242424242424363648727272
order1222334466666634466688121212122424242422666626612121212121224242424242422444881212121224242424666121224466812121212122424246448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-111-1-111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-111-1-111-1-1-1-1-1-11111111-1-1-11111-1-111-1-11-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111
χ511111111111111111111-1-11111-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-111-111-1-1-111111-1-111-11-1-1
χ611111111111111111111-1-11111-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1111-11-1-11-1-1-11111-1-11-111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1111111-1-11111-1-1-111-11-111-1111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-1111-1-1111-1-1-1-1-1111111-1-1
χ9111111111111111-1-11111111111111111111-1-1-1-1-1-1-111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11
χ10111111111111111-1-11111111111111111111-1-1-1-1-1-1-111111111-1-11-1-111-1-1111111-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-111-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1111-1-11
χ13111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-111111-1-11111-1-1-1-1111-1-11-1-111-11-1-1-1-1-1-1111-11-1
χ14111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1111-1-1-11-1111-111-1-111-1-1-11-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-11111111-1-11-11-1-1-11-1-111-1-1-1-111-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-111-1-11-111111111-1-11-1
χ17222222-2-222222220022200-2-2-2-200002222220000000-2-200000000-22-20022-2-2000000000000000-2000000-220000
χ18222222-2-222222220022200-2-2-2-200002222220000000-2-200000000-2-2200-2-2-2-200000000000000020000002-20000
χ19222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-20000000-2-20000000022-2002222000000000000000-20000002-20000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-20000000-2-2000000002-2200-2-2220000000000000002000000-220000
χ2122222-122-12-122-1-122-1-1-122-12-12-1-1-1-122-1-1-1-12-1-122-1-1-1-122-1-1-1-1222002200-1-1-1-1-1-12-1-1-1-1002-1-10000-1-100000000
χ2222222-122-12-122-1-122-1-1-122-12-12-1-1-1-1-2-211112-1-122-1-1-1-122-1-1-1-1-2-2-200-2-2001111112-1-1-1-100-21100001100000000
χ2322222-122-12-122-1-122-1-1-1-2-2-12-12111122-1-1-1-1-21122-1-1-1-1-2-21111-2-2200-2-200-1-11111-211-1-1002110000-1-100000000
χ2422222-122-12-122-1-122-1-1-1-2-2-12-121111-2-21111-21122-1-1-1-1-2-2111122-200220011-1-1-1-1-211-1-100-2-1-100001100000000
χ2522222-122-12-122-1-1-2-2-1-1-122-12-12-1-1-1-122-1-1-1-1-211-2-211-1-122-1-1-1-1-2-22002200-1-1-1-1-1-1-2111100-21100001100000000
χ2622222-122-12-122-1-1-2-2-1-1-122-12-12-1-1-1-1-2-21111-211-2-211-1-122-1-1-1-122-200-2-200111111-21111002-1-10000-1-100000000
χ2722222-122-12-122-1-1-2-2-1-1-1-2-2-12-12111122-1-1-1-12-1-1-2-211-1-1-2-2111122200-2-200-1-111112-1-11100-2-1-100001100000000
χ2822222-122-12-122-1-1-2-2-1-1-1-2-2-12-121111-2-211112-1-1-2-211-1-1-2-21111-2-2-200220011-1-1-1-12-1-111002110000-1-100000000
χ292222-12222-12-1-12-122-1-1-1222-12-12222000000222-1-122-1-1-1-1-1-1-1-10002200-1-1000000-1-1-1-1-1220002-1-1-100-1-100-1000
χ302222-12222-12-1-12-122-1-1-1222-12-12222000000222-1-122-1-1-1-1-1-1-1-1000-2-20011000000-1-1-1-1-1-2-2000-21110011001000
χ312222-12222-12-1-12-122-1-1-1-2-22-12-1-2-2-2-2000000-2-2-2-1-122-1-11111110002200-1-1000000111-1-1-22000-2-1-1-10011001000
χ322222-12222-12-1-12-122-1-1-1-2-22-12-1-2-2-2-2000000-2-2-2-1-122-1-1111111000-2-20011000000111-1-12-2000211100-1-100-1000
χ332222-12222-12-1-12-1-2-2-1-1-1222-12-12222000000-2-2-211-2-2-1-1-1-1-1-1-1-10002200-1-100000011111-2-20002-11100-1-1001000
χ342222-12222-12-1-12-1-2-2-1-1-1222-12-12222000000-2-2-211-2-2-1-1-1-1-1-1-1-1000-2-200110000001111122000-21-1-1001100-1000
χ352222-12222-12-1-12-1-2-2-1-1-1-2-22-12-1-2-2-2-200000022211-2-2-1-11111110002200-1-1000000-1-1-1112-2000-2-111001100-1000
χ362222-12222-12-1-12-1-2-2-1-1-1-2-22-12-1-2-2-2-200000022211-2-2-1-1111111000-2-20011000000-1-1-111-2200021-1-100-1-1001000
χ3722-2-222-22-2-22-22-222i−2i-22-20022-2-200000000000002i−2i2i−2i2-20000002-20002i−2i00002i2i−2i−2i0002i−2i0002-200000000000000
χ3822-2-222-22-2-22-22-222i−2i-22-20022-2-200000000000002i−2i2i−2i2-2000000-22000−2i2i0000−2i−2i2i2i0002i−2i000-2200000000000000
χ3922-2-222-22-2-22-22-22−2i2i-22-20022-2-20000000000000−2i2i−2i2i2-20000002-2000−2i2i0000−2i−2i2i2i000−2i2i0002-200000000000000
χ4022-2-222-22-2-22-22-22−2i2i-22-20022-2-20000000000000−2i2i−2i2i2-2000000-220002i−2i00002i2i−2i−2i000−2i2i000-2200000000000000
χ4122-2-22-1-221-2-1-221-12i−2i1-1100-121-233−3−300−i3−i3i3i30−i3i32i−2i−ii-110033−3−32-20002i−2i00−i3i3−i−iii0−i3i3−ii000-1100003−300000000
χ4222-2-22-1-221-2-1-221-12i−2i1-1100-121-233−3−300i3i3−i3−i30−i3i32i−2i−ii-110033−3−3-22000−2i2i00i3−i3ii−i−i0−i3i3−ii0001-10000−3300000000
χ4322-2-22-1-221-2-1-221-12i−2i1-1100-121-2−3−33300−i3−i3i3i30i3−i32i−2i−ii-1100−3−333-22000−2i2i00−i3i3ii−i−i0i3−i3−ii0001-100003−300000000
χ4422-2-22-1-221-2-1-221-12i−2i1-1100-121-2−3−33300i3i3−i3−i30i3−i32i−2i−ii-1100−3−3332-20002i−2i00i3−i3−i−iii0i3−i3−ii000-110000−3300000000
χ4522-2-22-1-221-2-1-221-1−2i2i1-1100-121-233−3−300−i3−i3i3i30i3−i3−2i2ii−i-110033−3−3-220002i−2i00−i3i3−i−iii0i3−i3i−i0001-10000−3300000000
χ4622-2-22-1-221-2-1-221-1−2i2i1-1100-121-233−3−300i3i3−i3−i30i3−i3−2i2ii−i-110033−3−32-2000−2i2i00i3−i3ii−i−i0i3−i3i−i000-1100003−300000000
χ4722-2-22-1-221-2-1-221-1−2i2i1-1100-121-2−3−33300−i3−i3i3i30−i3i3−2i2ii−i-1100−3−3332-2000−2i2i00−i3i3ii−i−i0−i3i3i−i000-110000−3300000000
χ4822-2-22-1-221-2-1-221-1−2i2i1-1100-121-2−3−33300i3i3−i3−i30−i3i3−2i2ii−i-1100−3−333-220002i−2i00i3−i3−i−iii0−i3i3i−i0001-100003−300000000
χ4944444-2-4-4-24-244-2-200-2-2-2002-42-4000044-2-2-2-200000002200000000-4000000220000000000000000000000000000
χ5044444-2-4-4-24-244-2-200-2-2-2002-42-40000-4-42222000000022000000004000000-2-20000000000000000000000000000
χ514444-24-4-44-24-2-24-200-2-2-200-42-4200000000000000000220000000004-400-2-2000000000000000002000000000000
χ524444-24-4-44-24-2-24-200-2-2-200-42-420000000000000000022000000000-44002200000000000000000-2000000000000
χ534444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-20000004-2-2-2-2-2-211-2-21111000000000000000-211110000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000-422-2-2-2-21122-1-1-1-10000000000000002-1-1110000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-2000000-422222211-2-211110000000000000002-1-1-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-222220000004-2-222221122-1-1-1-1000000000000000-211-1-10000000000000000000
χ5744-4-4444-4-4-44-44-4400-44-400-4-44400000000000000000-44000000000000000000000000000000000000000000000
χ5844-4-44-24-42-4-2-442-2002-22002-4-24000000−2i3−2i32i32i300000002-20000000000000002i3−2i30000000000000000000000000000
χ5944-4-44-24-42-4-2-442-2002-22002-4-240000002i32i3−2i3−2i300000002-2000000000000000−2i32i30000000000000000000000000000
χ6044-4-4-244-4-4242-2-4-2002-2200-424-2000000000000000002-2000000000000000000000000000000000−2i32i30000000000
χ6144-4-4-244-4-4242-2-4-2002-2200-424-2000000000000000002-20000000000000000000000000000000002i3−2i30000000000
χ6244-4-4-24-44-4242-2-4-24i−4i2-22004-2-420000000000000−2i2i4i−4i-22000000000000000000000000−2i2i0000000000000000000
χ6344-4-4-24-44-4242-2-4-2−4i4i2-22004-2-4200000000000002i−2i−4i4i-220000000000000000000000002i−2i0000000000000000000
χ6444-4-4-2-2-4422-22-2214i−4i-11-100-2-2222323−23−230000000−2i32i3−2i2i−2i2i1-100−3−3330000000000000000i3−i3i−i0000000000000000000
χ6544-4-4-2-2-4422-22-2214i−4i-11-100-2-222−23−23232300000002i3−2i3−2i2i−2i2i1-10033−3−30000000000000000−i3i3i−i0000000000000000000
χ6644-4-4-2-2-4422-22-221−4i4i-11-100-2-2222323−23−2300000002i3−2i32i−2i2i−2i1-100−3−3330000000000000000−i3i3−ii0000000000000000000
χ6744-4-4-2-2-4422-22-221−4i4i-11-100-2-222−23−2323230000000−2i32i32i−2i2i−2i1-10033−3−30000000000000000i3−i3−ii0000000000000000000
χ684-44-4440044-4-4-4-44004-4-4−2i22i20000−2i22i2−2i22i2000000000000000−2i22i2−2i22i2−2i22i2000000000000000000000000000000000000000
χ694-44-4440044-4-4-4-44004-4-42i2−2i200002i2−2i22i2−2i20000000000000002i2−2i22i2−2i22i2−2i2000000000000000000000000000000000000000
χ704-44-44-200-242-4-42-200-222−2i22i20000i2−i2i2−i200−2i32i3−2i32i3000000000−2i22i2i2−i2i2−i2000000000006−66−6000000000000000000000000
χ714-44-44-200-242-4-42-200-222−2i22i20000i2−i2i2−i2002i3−2i32i3−2i3000000000−2i22i2i2−i2i2−i200000000000−66−66000000000000000000000000
χ724-44-44-200-242-4-42-200-2222i2−2i20000−i2i2−i2i200−2i32i3−2i32i30000000002i2−2i2−i2i2−i2i200000000000−66−66000000000000000000000000
χ734-44-44-200-242-4-42-200-2222i2−2i20000−i2i2−i2i2002i3−2i32i3−2i30000000002i2−2i2−i2i2−i2i2000000000006−66−6000000000000000000000000
χ744-44-4-24004-2-422-4-200-222−2i22i20000−2i22i2−2i22i2000000000000000i2−i2i2−i2i2−i20000000−2i32i300000000000000000000006−6000000
χ754-44-4-24004-2-422-4-200-222−2i22i20000−2i22i2−2i22i2000000000000000i2−i2i2−i2i2−i200000002i3−2i30000000000000000000000−66000000
χ764-44-4-24004-2-422-4-200-2222i2−2i200002i2−2i22i2−2i2000000000000000−i2i2−i2i2−i2i20000000−2i32i30000000000000000000000−66000000
χ774-44-4-24004-2-422-4-200-2222i2−2i200002i2−2i22i2−2i2000000000000000−i2i2−i2i2−i2i200000002i3−2i300000000000000000000006−6000000
χ784-4-444400-4-4-44-44400-4-4400000000004-44-4-44000000000000000000000000000000000000000000000000000000
χ794-4-444400-4-4-44-44400-4-440000000000-44-444-4000000000000000000000000000000000000000000000000000000
χ804-4-444-2002-424-4-2-20022-2000000i6−i6−i6i64-4-222-200000000000i6−i6−i6i600000000000−i6i6i6−i6000000000000000000000000
χ814-4-444-2002-424-4-2-20022-2000000i6−i6−i6i6-442-2-2200000000000i6−i6−i6i600000000000i6−i6−i6i6000000000000000000000000
χ824-4-444-2002-424-4-2-20022-2000000−i6i6i6−i64-4-222-200000000000−i6i6i6−i600000000000i6−i6−i6i6000000000000000000000000
χ834-4-444-2002-424-4-2-20022-2000000−i6i6i6−i6-442-2-2200000000000−i6i6i6−i600000000000−i6i6i6−i6000000000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000-2-2000000000000000000000000000000000000000000000
χ8588-8-8-4-48-844-44-44200-22-20044-4-400000000000000000-22000000000000000000000000000000000000000000000
χ868-88-8-4-400-4-444442002-2-2−4i24i200002i2−2i22i2−2i20000000000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000
χ878-88-8-4-400-4-444442002-2-24i2−4i20000−2i22i2−2i22i2000000000000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000
χ888-8-88-4800-84-8-448-40044-40000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-400444-44-4200-2-220000002i6−2i6−2i62i600000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ908-8-88-4-400444-44-4200-2-22000000−2i62i62i6−2i600000000000000000i6−i6−i6i6000000000000000000000000000000000000000

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