Finite Group Databasebeta

← Group #11895996

Character table — Group #11895996

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444444466666688888888888888121212121212121212121212121212161616161616242424242424242424242436364848727272
order1222334466666636668812121212242424244412121212246612121212242424242424444444488121224242424666121212248121212121212242444612248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-111-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-111111111-1-111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-11
χ41111111111111111111111111111111111-1-1-1-1-1-111111111-1-11-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1
χ51111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-11-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-111-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11111-1-11
χ9111111111111111111-1-11111-1-1-1-11111111-111-1-111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1111-1-1-11-1-11-1-1111-1-1111-11-1-1
χ10111111111111111111-1-11111-1-1-1-11111111-111-1-111-1-1-1-1-1-1-1-11-111-1-1-111-1-1-1-1111-1-1-1-111-1-1-111-111-1-1-11-111
χ11111111111111111111-1-11111-1-1-1-1111111-11-1-11111-1-1-1-1-1-11111-1-11-1-111-1-1-1-1-1-1-1111-11-1111-1-11-1-111-11-11-1
χ12111111111111111111-1-11111-1-1-1-1111111-11-1-11111-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-11111-11-111-1-1-111-1-11-11-11
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-111-11-1-1111-1-11111111-1-1-11-1-1111-1-11-1-1-1-11-1-111
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-111-1-1-1-1-111-1-11111111-1-1-1-111-111-1-1-11111-111-1-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1111-11-11-1-1111-1-1-1-1-111-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-11111-11-1-1-111-111111-1-11-1
χ17222222-2-2222222222200-2-2-2-20000222222000000-2-200000000-2200-200-2-2000000000000020000-2002-200000
χ18222222-2-2222222222200-2-2-2-20000222222000000-2-200000000-2-200200-2-20000000000000-20000200-2200000
χ19222222-2-2222222222200-2-2-2-20000-2-2-2-2-2-2000000-2-2000000002200-20022000000000000020000-200-2200000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-2-2-2000000-2-2000000002-200200220000000000000-200002002-200000
χ2122222-122-12-122-1-1-1-1-122-12-122222000000222222-1-1-1-1-1-1-1-1000200200000000-1-1-1-1-1-1222-10000-1-1-100-1-1000
χ2222222-122-12-122-1-1-1-1-122-12-122222000000222222-1-1-1-1-1-1-1-1000-200-200000000-1-1-1-1-1-1-2-2-2100001110011000
χ2322222-122-12-122-1-1-1-1-122-12-122222000000-2-2-2-2-2-2-1-1-1-1-1-1-1-1000200200000000111111-2-22-10000-1-1-10011000
χ2422222-122-12-122-1-1-1-1-122-12-122222000000-2-2-2-2-2-2-1-1-1-1-1-1-1-1000-200-20000000011111122-21000011100-1-1000
χ2522222-122-12-122-1-1-1-1-1-2-2-12-12-2-2-2-20000002-222-2-2-1-1111111000200200000000-1-1-11112-2-2-10000-11100-11000
χ2622222-122-12-122-1-1-1-1-1-2-2-12-12-2-2-2-20000002-222-2-2-1-1111111000-200-200000000-1-1-1111-222100001-1-1001-1000
χ2722222-122-12-122-1-1-1-1-1-2-2-12-12-2-2-2-2000000-22-2-222-1-1111111000200200000000111-1-1-1-22-2-10000-111001-1000
χ2822222-122-12-122-1-1-1-1-1-2-2-12-12-2-2-2-2000000-22-2-222-1-1111111000-200-200000000111-1-1-12-22100001-1-100-11000
χ292222-12222-12-1-12-1-1-1-1222-12-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1222022022-1-1-1-1-1-12-1-12-1-10000-1-1-1-10000000000
χ302222-12222-12-1-12-1-1-1-1222-12-1-1-1-1-122-1-1-1-1-2-21111-1-122-1-1-1-1-2-220-2-2022-1-1-1-1-1-1-211-211000011110000000000
χ312222-12222-12-1-12-1-1-1-1222-12-1-1-1-1-1-2-2111122-1-1-1-1-1-122-1-1-1-1-2-2-20-2-20-2-21111112-1-12-1-1000011110000000000
χ322222-12222-12-1-12-1-1-1-1222-12-1-1-1-1-1-2-21111-2-21111-1-122-1-1-1-122-20220-2-2111111-211-2110000-1-1-1-10000000000
χ332222-12222-12-1-12-1-1-1-1-2-22-12-1111122-1-1-1-12-2-1-111-1-1-2-21111-2-220220-2-2-1-111112-1-1-211000011-1-10000000000
χ342222-12222-12-1-12-1-1-1-1-2-22-12-1111122-1-1-1-1-2211-1-1-1-1-2-211112220-2-20-2-2-1-11111-2112-1-10000-1-1110000000000
χ352222-12222-12-1-12-1-1-1-1-2-22-12-11111-2-211112-2-1-111-1-1-2-2111122-20-2-202211-1-1-1-12-1-1-2110000-1-1110000000000
χ362222-12222-12-1-12-1-1-1-1-2-22-12-11111-2-21111-2211-1-1-1-1-2-21111-2-2-202202211-1-1-1-1-2112-1-1000011-1-10000000000
χ3722-2-222-222-2-22-2-22-22-22i−2i-2-2222i2i−2i−2i0000000000002-22i−2i2i2i−2i−2i2-2002i−2i00000000000000000002-22i−2i0000000000
χ3822-2-222-222-2-22-2-22-22-22i−2i-2-2222i2i−2i−2i0000000000002-22i−2i2i2i−2i−2i-2200−2i2i0000000000000000000-22−2i2i0000000000
χ3922-2-222-222-2-22-2-22-22-2−2i2i-2-222−2i−2i2i2i0000000000002-2−2i2i−2i−2i2i2i2-200−2i2i00000000000000000002-2−2i2i0000000000
χ4022-2-222-222-2-22-2-22-22-2−2i2i-2-222−2i−2i2i2i0000000000002-2−2i2i−2i−2i2i2i-22002i−2i0000000000000000000-222i−2i0000000000
χ4122-2-2-12-2221-2-11-2-11-112i−2i-212-1−i−iii0033−3−300−i3i33−3-112i−2i−i−iii2-2002i−2i0003−3−i3−i3i3i30−i3i303−30000-11−ii0000000000
χ4222-2-2-12-2221-2-11-2-11-112i−2i-212-1−i−iii0033−3−300i3−i3−33-112i−2i−i−iii-2200−2i2i0003−3−i3−i3i3i30i3−i30−3300001-1i−i0000000000
χ4322-2-2-12-2221-2-11-2-11-112i−2i-212-1−i−iii00−3−33300−i3i33−3-112i−2i−i−iii-2200−2i2i000−33i3i3−i3−i30−i3i303−300001-1i−i0000000000
χ4422-2-2-12-2221-2-11-2-11-112i−2i-212-1−i−iii00−3−33300i3−i3−33-112i−2i−i−iii2-2002i−2i000−33i3i3−i3−i30i3−i30−330000-11−ii0000000000
χ4522-2-2-12-2221-2-11-2-11-11−2i2i-212-1ii−i−i0033−3−300−i3i3−33-11−2i2iii−i−i-22002i−2i0003−3i3i3−i3−i30−i3i30−3300001-1−ii0000000000
χ4622-2-2-12-2221-2-11-2-11-11−2i2i-212-1ii−i−i0033−3−300i3−i33−3-11−2i2iii−i−i2-200−2i2i0003−3i3i3−i3−i30i3−i303−30000-11i−i0000000000
χ4722-2-2-12-2221-2-11-2-11-11−2i2i-212-1ii−i−i00−3−33300−i3i3−33-11−2i2iii−i−i2-200−2i2i000−33−i3−i3i3i30−i3i30−330000-11i−i0000000000
χ4822-2-2-12-2221-2-11-2-11-11−2i2i-212-1ii−i−i00−3−33300i3−i33−3-11−2i2iii−i−i-22002i−2i000−33−i3−i3i3i30i3−i303−300001-1−ii0000000000
χ4944444-2-4-4-24-244-2-2-2-2-2002-42-4000000000000000022000000000400-400000000000000000-200002000000000
χ5044444-2-4-4-24-244-2-2-2-2-2002-42-4000000000000000022000000000-40040000000000000000020000-2000000000
χ514444-24-4-44-24-2-24-2-2-2-200-42-42000044-2-2-2-20000002200000000-4000000220000000000000000000000000000
χ524444-24-4-44-24-2-24-2-2-2-200-42-420000-4-4222200000022000000004000000-2-20000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000044-2-2-2-211-2-21111000000000000000-211-211000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2000000-4-4222211-2-211110000000000000002-1-12-1-1000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000004-4-2-2221122-1-1-1-1000000000000000-2112-1-1000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000-4422-2-21122-1-1-1-10000000000000002-1-1-211000000000000000000
χ5744-4-4444-44-4-44-4-44-44-40044-4-40000000000000000-44000000000000000000000000000000000000000000000
χ5844-4-44-24-4-2-424-42-22-2200-242-400000000000000002-200000000000000000000000000000000000023−230000000
χ5944-4-44-24-4-2-424-42-22-2200-242-400000000000000002-2000000000000000000000000000000000000−23230000000
χ6044-4-44-2-44-2-424-42-22-224i−4i2-4-244i4i−4i−4i000000000000-22−2i2i−2i−2i2i2i000000000000000000000000000000000000000
χ6144-4-44-2-44-2-424-42-22-22−4i4i2-4-24−4i−4i4i4i000000000000-222i−2i2i2i−2i−2i000000000000000000000000000000000000000
χ6244-4-4-244-442-4-22-4-22-22004-2-420000002323−23−230000002-2000000000000000−23230000000000000000000000000000
χ6344-4-4-244-442-4-22-4-22-22004-2-42000000−23−2323230000002-200000000000000023−230000000000000000000000000000
χ6444-4-4-2-2-44-222-2221-11-14i−4i22-2-2−2i−2i2i2i00000000−2i32i323−231-1−2i2iii−i−i0000000000000000i3−i30−33000000000000000000
χ6544-4-4-2-2-44-222-2221-11-14i−4i22-2-2−2i−2i2i2i000000002i3−2i3−23231-1−2i2iii−i−i0000000000000000−i3i303−3000000000000000000
χ6644-4-4-2-2-44-222-2221-11-1−4i4i22-2-22i2i−2i−2i00000000−2i32i3−23231-12i−2i−i−iii0000000000000000i3−i303−3000000000000000000
χ6744-4-4-2-2-44-222-2221-11-1−4i4i22-2-22i2i−2i−2i000000002i3−2i323−231-12i−2i−i−iii0000000000000000−i3i30−33000000000000000000
χ684-44-44400-444-4-4-44-4-440000000000000000000000000000000000000−2i22i200−2i22i2−2i22i2000000000000000000000000
χ694-44-44400-444-4-4-44-4-4400000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i2000000000000000000000000
χ704-44-4-2400-4-2422-4-222-2000000i6−i6i6−i60023−2323−230000000000i6−i6i6−i60000000−2i22i200i2−i2i2−i2000000000000000000000000
χ714-44-4-2400-4-2422-4-222-2000000i6−i6i6−i600−2323−23230000000000i6−i6i6−i600000002i2−2i200−i2i2−i2i2000000000000000000000000
χ724-44-4-2400-4-2422-4-222-2000000−i6i6−i6i60023−2323−230000000000−i6i6−i6i600000002i2−2i200−i2i2−i2i2000000000000000000000000
χ734-44-4-2400-4-2422-4-222-2000000−i6i6−i6i600−2323−23230000000000−i6i6−i6i60000000−2i22i200i2−i2i2−i2000000000000000000000000
χ744-4-444400-4-4-4-44444-4-400000000004-44-4-4400000000000000000000000000000000000000000000000000000
χ754-4-444400-4-4-4-44444-4-40000000000-44-444-400000000000000000000000000000000000000000000000000000
χ764-4-44-2400-42-42-24-2-2220000006−6−664-4-222-200000000006−6−6600000000000−666−6000000000000000000000000
χ774-4-44-2400-42-42-24-2-2220000006−6−66-442-2-2200000000006−6−66000000000006−6−66000000000000000000000000
χ784-4-44-2400-42-42-24-2-222000000−666−64-4-222-20000000000−666−6000000000006−6−66000000000000000000000000
χ794-4-44-2400-42-42-24-2-222000000−666−6-442-2-220000000000−666−600000000000−666−6000000000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000
χ8188-8-8-4-48-8-444-4442-22-200-4-4440000000000000000-22000000000000000000000000000000000000000000000
χ828-88-88-40048-4-8-84-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-4004-4-44442-2-220000002i6−2i62i6−2i60000000000000000−i6i6−i6i6000000000000000000000000000000000000000
χ848-88-8-4-4004-4-44442-2-22000000−2i62i6−2i62i60000000000000000i6−i6i6−i6000000000000000000000000000000000000000
χ858-8-888-4004-84-88-4-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004444-4-422-2-200000026−26−26260000000000000000−666−6000000000000000000000000000000000000000
χ878-8-88-4-4004444-4-422-2-2000000−262626−2600000000000000006−6−66000000000000000000000000000000000000000

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