Finite Group Databasebeta

← Group #11895793

Character table — Group #11895793

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121212121216161616161624242424242424242436364848727272
order12223344666666366688121212122424242444246612121212242424242424224444488121212121212121224242424666121212246681212242444612248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-11-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-111111111111-111-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-1-1-1-1-111111111-1-111-1-1111111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11
χ51111111111111111111111111111-1-11111111111111111-11111-1-1-1-11111-1-1-1-1-1-1111111-1-11111111-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1111
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11111-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-11111-1
χ9111111111111111111-1-11111-1-1-1-1111-111-1-111-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111-1-1-11-1111-1-111-1-11-1-111
χ10111111111111111111-1-11111-1-1-1-1111-111-1-111-1-1-1-1-1-1-1-111111-1-111111111-1-1-1-1111-1-1-11-1-1-1-111-1-1111-11-1-1
χ11111111111111111111-1-11111-1-1-1-111-11-1-11111-1-1-1-1-1-11111-1-11-1-111111111-1-1-1-1-1-1-1111-1111-1-1-1-1-111-11-11-1
χ12111111111111111111-1-11111-1-1-1-111-11-1-11111-1-1-1-1-1-1-1-11-111-1-1-111-1-1-1-111-1-1-1-1-1-1-1111-11-1-111111-1-1-111-11
χ13111111111111111111-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-11111-111-1-1
χ14111111111111111111-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1111111-1-11111-1-11111111-1-1-1-11-1-1-111-1-1-1-1-11-111
χ15111111111111111111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-11-1-1111-1-11111-1-11111-1-1-11111-111-1-1-1-1-1-1-11-11-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-11111-1-1-11111-1-1-111111111-1-11-1
χ17222222-2-2222222222200-2-2-2-2000022000000-2-200000000-2200-2002222-2-2-2-200000000000000000002-200000
χ18222222-2-2222222222200-2-2-2-2000022000000-2-200000000-2-20020022-2-222-2-20000000000000000000-2200000
χ19222222-2-2222222222200-2-2-2-20000-2-2000000-2-2000000002200-200-2-222-2-2220000000000000000000-2200000
χ20222222-2-2222222222200-2-2-2-20000-2-2000000-2-2000000002-200200-2-2-2-2222200000000000000000002-200000
χ2122222-1222-12-1-12-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-1-1-1-1-122022220000-1-1-1-10000002-1-12-1-100-1-12-1-1-1-10000000
χ2222222-1222-12-1-12-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-2-2-2000011110000002-1-12-1-10011-211110000000
χ2322222-1222-12-1-12-1-1-1-1222-12-1222200-2-21111-1-1-1-1-1-1-1-1220-222-200001111000000-211-21100-1-1-2-1-1110000000
χ2422222-1222-12-1-12-1-1-1-1222-12-1222200-2-21111-1-1-1-1-1-1-1-1-2-202-2-220000-1-1-1-1000000-211-2110011211-1-10000000
χ2522222-1222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-2002-2-1-111-1-1111111220-2-2-2-2000011110000002-1-1-21100-1-1211-1-10000000
χ2622222-1222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-2002-2-1-111-1-1111111-2-2022220000-1-1-1-10000002-1-1-2110011-2-1-1110000000
χ2722222-1222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-200-2211-1-1-1-11111112202-2-220000-1-1-1-1000000-2112-1-100-1-1-211110000000
χ2822222-1222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-200-2211-1-1-1-1111111-2-20-222-200001111000000-2112-1-100112-1-1-1-10000000
χ292222-1222-12-122-1-1-1-1-122-12-12-1-1-1-122222222-1-122-1-1-1-1002000022-1-10000-1-1-1-1-1-1-1-1-1-1-1-122000000000-1-1000
χ302222-1222-12-122-1-1-1-1-122-12-12-1-1-1-122-2-2-2-2-2-2-1-122-1-1-1-1002000022-1-10000-1-1-1-1-1-1111111-2-200000000011000
χ312222-1222-12-122-1-1-1-1-122-12-12-1-1-1-1-2-2222222-1-122-1-1-1-100-20000-2-2110000111111-1-1-1-1-1-1-2-200000000011000
χ322222-1222-12-122-1-1-1-1-122-12-12-1-1-1-1-2-2-2-2-2-2-2-2-1-122-1-1-1-100-20000-2-211000011111111111122000000000-1-1000
χ332222-1222-12-122-1-1-1-1-1-2-2-12-121111222-222-2-2-1-1-2-211110020000-2-2-1-10000-1-11111-1-1-11112-2000000000-11000
χ342222-1222-12-122-1-1-1-1-1-2-2-12-12111122-22-2-222-1-1-2-211110020000-2-2-1-10000-1-11111111-1-1-1-220000000001-1000
χ352222-1222-12-122-1-1-1-1-1-2-2-12-121111-2-22-222-2-2-1-1-2-2111100-200002211000011-1-1-1-1-1-1-1111-220000000001-1000
χ362222-1222-12-122-1-1-1-1-1-2-2-12-121111-2-2-22-2-222-1-1-2-2111100-200002211000011-1-1-1-1111-1-1-12-2000000000-11000
χ3722-2-222-2222-2-2-2-22-22-22i−2i-2-2222i2i−2i−2i000000002-22i−2i2i2i−2i−2i2-2002i−2i000000000000000000000002-202i−2i000000000
χ3822-2-222-2222-2-2-2-22-22-22i−2i-2-2222i2i−2i−2i000000002-22i−2i2i2i−2i−2i-2200−2i2i00000000000000000000000-220−2i2i000000000
χ3922-2-222-2222-2-2-2-22-22-2−2i2i-2-222−2i−2i2i2i000000002-2−2i2i−2i−2i2i2i2-200−2i2i000000000000000000000002-20−2i2i000000000
χ4022-2-222-2222-2-2-2-22-22-2−2i2i-2-222−2i−2i2i2i000000002-2−2i2i−2i−2i2i2i-22002i−2i00000000000000000000000-2202i−2i000000000
χ4122-2-22-1-222-1-211-2-11-112i−2i-212-12i2i−2i−2i0000−i3i33−3-11−ii−i−iii2-2002i−2i000003−33−30000000−i3i303−300-110−ii−i3i30000000
χ4222-2-22-1-222-1-211-2-11-112i−2i-212-12i2i−2i−2i0000−i3i33−3-11−ii−i−iii-2200−2i2i00000−33−330000000−i3i303−3001-10i−ii3−i30000000
χ4322-2-22-1-222-1-211-2-11-112i−2i-212-12i2i−2i−2i0000i3−i3−33-11−ii−i−iii2-2002i−2i00000−33−330000000i3−i30−3300-110−iii3−i30000000
χ4422-2-22-1-222-1-211-2-11-112i−2i-212-12i2i−2i−2i0000i3−i3−33-11−ii−i−iii-2200−2i2i000003−33−30000000i3−i30−33001-10i−i−i3i30000000
χ4522-2-22-1-222-1-211-2-11-11−2i2i-212-1−2i−2i2i2i0000−i3i3−33-11i−iii−i−i2-200−2i2i00000−33−330000000−i3i30−3300-110i−i−i3i30000000
χ4622-2-22-1-222-1-211-2-11-11−2i2i-212-1−2i−2i2i2i0000−i3i3−33-11i−iii−i−i-22002i−2i000003−33−30000000−i3i30−33001-10−iii3−i30000000
χ4722-2-22-1-222-1-211-2-11-11−2i2i-212-1−2i−2i2i2i0000i3−i33−3-11i−iii−i−i2-200−2i2i000003−33−30000000i3−i303−300-110i−ii3−i30000000
χ4822-2-22-1-222-1-211-2-11-11−2i2i-212-1−2i−2i2i2i0000i3−i33−3-11i−iii−i−i-22002i−2i00000−33−330000000i3−i303−3001-10−ii−i3i30000000
χ4944444-2-4-44-24-2-24-2-2-2-200-42-4200000000000022000000000400-40000-2-2220000000000000000000000000000
χ5044444-2-4-44-24-2-24-2-2-2-200-42-4200000000000022000000000-4004000022-2-20000000000000000000000000000
χ514444-24-4-4-24-244-2-2-2-2-2002-42-40000440000002200000000-4000000-2-200002200000000000000000000000000
χ524444-24-4-4-24-244-2-2-2-2-2002-42-40000-4-400000022000000004000000220000-2-200000000000000000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20044-2-2-2-211-2-21111000000000000000000000-211-2110000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-4222211-2-211110000000000000000000002-1-12-1-10000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4-2-2221122-1-1-1-1000000000000000000000-2112-1-10000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-4422-2-21122-1-1-1-10000000000000000000002-1-1-2110000000000000000
χ5744-4-4444-444-4-4-4-44-44-40044-4-4000000000000-440000000000000000000000000000000000000000000000000
χ5844-4-44-24-44-2-422-4-22-22004-2-420000000000002-20000000000000000023−23−23230000000000000000000000000000
χ5944-4-44-24-44-2-422-4-22-22004-2-420000000000002-200000000000000000−232323−230000000000000000000000000000
χ6044-4-4-244-4-242-4-42-22-2200-242-40000000000002-2000000000000000000000002323−23−230000000000000000000000
χ6144-4-4-244-4-242-4-42-22-2200-242-40000000000002-200000000000000000000000−23−2323230000000000000000000000
χ6244-4-4-24-44-242-4-42-22-224i−4i2-4-24−2i−2i2i2i00000000-224i−4i−2i−2i2i2i0000000000000000000000000000000000000000000
χ6344-4-4-24-44-242-4-42-22-22−4i4i2-4-242i2i−2i−2i00000000-22−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000
χ6444-4-4-2-2-44-2-222221-11-14i−4i22-2-2−2i−2i2i2i0000−2i32i323−231-1−2i2iii−i−i0000000000000000000000i3−i30−330000000000000000
χ6544-4-4-2-2-44-2-222221-11-14i−4i22-2-2−2i−2i2i2i00002i3−2i3−23231-1−2i2iii−i−i0000000000000000000000−i3i303−30000000000000000
χ6644-4-4-2-2-44-2-222221-11-1−4i4i22-2-22i2i−2i−2i0000−2i32i3−23231-12i−2i−i−iii0000000000000000000000i3−i303−30000000000000000
χ6744-4-4-2-2-44-2-222221-11-1−4i4i22-2-22i2i−2i−2i00002i3−2i323−231-12i−2i−i−iii0000000000000000000000−i3i30−330000000000000000
χ684-44-44400-4-4-44-444-4-4400000000000000000000000000000000022−220000000022−2222−220000000000000000000000
χ694-44-44400-4-4-44-444-4-44000000000000000000000000000000000−222200000000−2222−22220000000000000000000000
χ704-44-4-24002-424-4-2-222-2000000i6−i6i6−i6000000000000i6−i6i6−i6000000022−22000000−2i32i3−22−220000000000000000000000
χ714-44-4-24002-424-4-2-222-2000000i6−i6i6−i6000000000000i6−i6i6−i60000000−22220000002i3−2i32−22−20000000000000000000000
χ724-44-4-24002-424-4-2-222-2000000−i6i6−i6i6000000000000−i6i6−i6i6000000022−220000002i3−2i3−22−220000000000000000000000
χ734-44-4-24002-424-4-2-222-2000000−i6i6−i6i6000000000000−i6i6−i6i60000000−2222000000−2i32i32−22−20000000000000000000000
χ744-4-444400-4-44-44-444-4-400000000004-4000000000000000000000004-400000000000000000000000000000000
χ754-4-444400-4-44-44-444-4-40000000000-4400000000000000000000000-4400000000000000000000000000000000
χ764-4-44-24002-4-2-442-2-2220000006−6−664-400000000006−6−66000000000-220000006−6−660000000000000000000000
χ774-4-44-24002-4-2-442-2-2220000006−6−66-4400000000006−6−660000000002-2000000−666−60000000000000000000000
χ784-4-44-24002-4-2-442-2-222000000−666−64-40000000000−666−6000000000-22000000−666−60000000000000000000000
χ794-4-44-24002-4-2-442-2-222000000−666−6-440000000000−666−60000000002-20000006−6−660000000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-42222004444000000000000-2-20000000000000000000000000000000000000000000000000
χ8188-8-8-4-48-8-4-444442-22-200-4-444000000000000-220000000000000000000000000000000000000000000000000
χ828-88-88-400-84-8-448-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-400444-44-42-2-220000002i6−2i62i6−2i6000000000000−i6i6−i6i60000000000000000000000000000000000000000000
χ848-88-8-4-400444-44-42-2-22000000−2i62i6−2i62i6000000000000i6−i6i6−i60000000000000000000000000000000000000000000
χ858-8-888-400-8484-4-8-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40044-44-4422-2-200000026−26−2626000000000000−666−60000000000000000000000000000000000000000000
χ878-8-88-4-40044-44-4422-2-2000000−262626−260000000000006−6−660000000000000000000000000000000000000000000

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