Finite Group Databasebeta

← Group #13156262

Character table — Group #13156262

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11222222222224444444444444444444488888888888888181824242424242424242424242424242424242424242424242424242436363636363636363672727272216
order122333446666633366666666612121212121212123666612121212121212121288448121212121212121212121212121212122424242424242424248882424242461224248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-11111111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-11111-1-1-1-11
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1
χ511111111111111111111111111111111111111111111111-1-11-111111-1-1-1-11111-1-1-1-111111111-1-1-111-1-1-1-1-1-111-1
χ611111111111111111111111111111111111111111111111-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-11
χ711111111111111111111111111111111111111111111111-1-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-111-1-1-1
χ811111111111111111111111111111111111111111111111-1-1-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ9222222-2-222222222222222222-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2000000000000000000000000000000002i−2i0000002i−2i0
χ10222222-2-222222222222222222-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-200000000000000000000000000000000−2i2i000000−2i2i0
χ1122222-1222222-12-1-12-122-1-1-12-12-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100022000022-1-10000-1-1-1-122-1-1-1-1-1-1220000000-1-1000
χ1222222-1222222-12-1-12-122-1-1-12-12-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10002-2000022-1-10000-1-1-1-1-2-2111111-2-2000000011000
χ1322222-1222222-12-1-12-122-1-1-12-12-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000-220000-2-2110000111122-1-1-1-1-1-1-2-2000000011000
χ1422222-1222222-12-1-12-122-1-1-12-12-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000-2-20000-2-21100001111-2-2111111220000000-1-1000
χ152222-122222-122-12-1-12-1-122-1-1222-12-1-1-12-1-1-1-1-1-1-1-122-1-1-1-100202-1-1220000-1-1-1-10000-1-122-1-1-1-100022000000-1-10
χ162222-122222-122-12-1-12-1-122-1-1222-12-1-1-12-1-1-1-1-1-1-1-122-1-1-1-10020-2-1-1220000-1-1-1-1000011-2-21111000-2-2000000110
χ172222-122222-122-12-1-12-1-122-1-1222-12-1-1-12-1-1-1-1-1-1-1-122-1-1-1-100-20211-2-2000011110000-1-122-1-1-1-1000-2-2000000110
χ182222-122222-122-12-1-12-1-122-1-1222-12-1-1-12-1-1-1-1-1-1-1-122-1-1-1-100-20-211-2-200001111000011-2-2111100022000000-1-10
χ192222-12-2-222-122-12-1-12-1-122-1-12-2-21-2111-2-1-1-1-1-1111-2-2111100000−i3i3000000−i3−i3i3i300003−30033−3−30002i−2i000000−ii0
χ202222-12-2-222-122-12-1-12-1-122-1-12-2-21-2111-2-1-1-1-1-1111-2-2111100000−i3i3000000−i3−i3i3i30000−3300−3−333000−2i2i000000i−i0
χ212222-12-2-222-122-12-1-12-1-122-1-12-2-21-2111-2-1-1-1-1-1111-2-2111100000i3−i3000000i3i3−i3−i300003−30033−3−3000−2i2i000000i−i0
χ222222-12-2-222-122-12-1-12-1-122-1-12-2-21-2111-2-1-1-1-1-1111-2-2111100000i3−i3000000i3i3−i3−i30000−3300−3−3330002i−2i000000−ii0
χ23222-12222-1-12-12-1-1222-1-1-1-12-1-1-1222222-1-12-1-1-12-1-1-1-1-1-1-1-12222022-1-1-1-122-1-1-1-1-1-1-1-10000000000200-1-1-1-100000
χ24222-12222-1-12-12-1-1222-1-1-1-12-1-1-1222222-1-12-1-1-12-1-1-1-1-1-1-1-122-2-20-2-21111-2-2111111110000000000200-1-1-1-100000
χ25222-12222-1-12-12-1-1222-1-1-1-12-1-1-1222222-1-12-1-1-12-1-1-1-1-1-1-1-1-2-22-2022-1-111-2-2-1-1-1-111110000000000-200111100000
χ26222-12222-1-12-12-1-1222-1-1-1-12-1-1-1222222-1-12-1-1-12-1-1-1-1-1-1-1-1-2-2-220-2-211-1-1221111-1-1-1-10000000000-200111100000
χ2722-22222-2-2-2222222-2-2-2-2-2-2222-22-2-2-2-2222-2-2-2222-22-222-2-22200000000000000000000000000000-20022-2-200000
χ2822-22222-2-2-2222222-2-2-2-2-2-2222-22-2-2-2-2222-2-2-2222-22-222-2-2-2-200000000000000000000000000000200-2-22200000
χ2922-2222-22-2-2222222-2-2-2-2-2-22222-22222-2-22-2-2-22-2-22-22-2-222000000000000000000000000000002-200000002-2000
χ3022-2222-22-2-2222222-2-2-2-2-2-22222-22222-2-22-2-2-22-2-22-22-2-22200000000000000000000000000000-220000000-22000
χ3122-222-1-22-2-222-12-1-1-21-2-211-12-1212-1-1-1-2-2-1111-11-221-111-1-100000000000−i3i30000−i3−i3i3i300−i3i3−i3i3−i3i32-20000000-11000
χ3222-222-1-22-2-222-12-1-1-21-2-211-12-1212-1-1-1-2-2-1111-11-221-111-1-100000000000−i3i30000−i3−i3i3i300i3−i3i3−i3i3−i3-2200000001-1000
χ3322-222-1-22-2-222-12-1-1-21-2-211-12-1212-1-1-1-2-2-1111-11-221-111-1-100000000000i3−i30000i3i3−i3−i300−i3i3−i3i3−i3i3-2200000001-1000
χ3422-222-1-22-2-222-12-1-1-21-2-211-12-1212-1-1-1-2-2-1111-11-221-111-1-100000000000i3−i30000i3i3−i3−i300i3−i3i3−i3i3−i32-20000000-11000
χ3522-2-1222-2112-12-1-12-2-211112-1-112-2-2-2-22-1-1-211-12-11-11-1-1112200000−i3i3−i3i300−i3i3−i3i3−i3i3−i3i30000000000-200-1-11100000
χ3622-2-1222-2112-12-1-12-2-211112-1-112-2-2-2-22-1-1-211-12-11-11-1-1112200000i3−i3i3−i300i3−i3i3−i3i3−i3i3−i30000000000-200-1-11100000
χ3722-2-1222-2112-12-1-12-2-211112-1-112-2-2-2-22-1-1-211-12-11-11-1-111-2-200000−i3i3i3−i300−i3i3−i3i3i3−i3i3−i3000000000020011-1-100000
χ3822-2-1222-2112-12-1-12-2-211112-1-112-2-2-2-22-1-1-211-12-11-11-1-111-2-200000i3−i3−i3i300i3−i3i3−i3−i3i3−i3i3000000000020011-1-100000
χ3944444-2-4-44444-24-2-24-244-2-2-24-2-42-4222-4-4-2-2-2-2-22-4-42222220000000000000000000000000000000000000000000
χ404444-2-24444-24-2-2-21-2-2-2-2-2-21-2-24-2-2-211-24111111-2-2-2-21111000040000000000000000-2-2-2-2111100000000000000
χ414444-2-24444-24-2-2-21-2-2-2-2-2-21-2-24-2-2-211-24111111-2-2-2-211110000-400000000000000002222-1-1-1-100000000000000
χ424444-2-2-4-444-24-2-2-21-2-2-2-2-2-21-2-2-4222-1-12-411111-12222-1-1-1-100000000000000000000023−2300−3−33300000000000000
χ434444-2-2-4-444-24-2-2-21-2-2-2-2-2-21-2-2-4222-1-12-411111-12222-1-1-1-1000000000000000000000−23230033−3−300000000000000
χ44444-244-4-4-2-24-24-2-2444-2-2-2-24-2-22-4-4-4-4-4-42-24-2-2-2-4222222220000000000000000000000000000000000000000000
χ45444-24-244-2-24-2-2-21-24-2-2-211-2-21-2-24-2-2-24-21-2111-2-2-2111111000400000-2-2-2-2000011110000000000000000000000
χ46444-24-244-2-24-2-2-21-24-2-2-211-2-21-2-24-2-2-24-21-2111-2-2-2111111000-40000022220000-1-1-1-10000000000000000000000
χ47444-24-2-4-4-2-24-2-2-21-24-2-2-211-2-2122-4222-421-2111222-1-1-1-1-1-1000000000000000003-3-330000000000000000000000
χ48444-24-2-4-4-2-24-2-2-21-24-2-2-211-2-2122-4222-421-2111222-1-1-1-1-1-100000000000000000-333-30000000000000000000000
χ49444-2-2444-2-2-2-241-2-2-2411-2-2-21-2-24-24-2-2-2-21-2111-211-2-2111100400-2-2-2-20000111100000000000000000000000000
χ50444-2-2444-2-2-2-241-2-2-2411-2-2-21-2-24-24-2-2-2-21-2111-211-2-2111100-40022220000-1-1-1-100000000000000000000000000
χ51444-2-24-4-4-2-2-2-241-2-2-2411-2-2-21-22-42-422221-21112-1-122-1-1-1-100000−2i32i3000000i3i3−i3−i300000000000000000000000000
χ52444-2-24-4-4-2-2-2-241-2-2-2411-2-2-21-22-42-422221-21112-1-122-1-1-1-1000002i3−2i3000000−i3−i3i3i300000000000000000000000000
χ5344-444-24-4-4-444-24-2-2-42-4-422-24-2-4-2-422244-2222-2-24-4-22-2-2220000000000000000000000000000000000000000000
χ5444-44-244-4-4-4-244-24-22-422-4-4-2-24-442-422-24-2222-2-2-224-4-2-2220000000000000000000000000000000000000000000
χ5544-44-24-44-4-4-244-24-22-422-4-4-2-244-4-24-2-22-4-2222-222-2-4422-2-20000000000000000000000000000000000000000000
χ5644-44-2-24-4-4-4-24-2-2-212222221-2-2-4-222-1-1-241-1-1-111-22-2211-1-100000000000000000000000003i−3i−3i3i00000000000000
χ5744-44-2-24-4-4-4-24-2-2-212222221-2-2-4-222-1-1-241-1-1-111-22-2211-1-10000000000000000000000000−3i3i3i−3i00000000000000
χ5844-44-2-2-44-4-4-24-2-2-212222221-2-242-2-2112-41-1-1-11-12-22-2-1-11100000000000000000000000−2i32i3i3−i3i3−i300000000000000
χ5944-44-2-2-44-4-4-24-2-2-212222221-2-242-2-2112-41-1-1-11-12-22-2-1-111000000000000000000000002i3−2i3−i3i3−i3i300000000000000
χ6044-4-244-44224-24-2-24-4-422224-2-2-2-44444-42-2-422-2-42-22-222-2-20000000000000000000000000000000000000000000
χ6144-4-24-24-4224-2-2-21-2-4222-1-1-2-212-2-42224-212-1-11-2-221-111-1-1000000000−2i32i3000000i3−i3i3−i30000000000000000000000
χ6244-4-24-24-4224-2-2-21-2-4222-1-1-2-212-2-42224-212-1-11-2-221-111-1-10000000002i3−2i3000000−i3i3−i3i30000000000000000000000
χ6344-4-24-2-44224-2-2-21-2-4222-1-1-2-21-224-2-2-2-4212-1-1122-2-11-1-11100000000000−2i32i30000i3i3−i3−i30000000000000000000000
χ6444-4-24-2-44224-2-2-21-2-4222-1-1-2-21-224-2-2-2-4212-1-1122-2-11-1-111000000000002i3−2i30000−i3−i3i3i30000000000000000000000
χ6544-4-2-244-422-2-241-2-22-4-1-122-21-2242-422-2-212-1-11-21-1-2211-1-10000000−2i32i30000i3−i3i3−i300000000000000000000000000
χ6644-4-2-244-422-2-241-2-22-4-1-122-21-2242-422-2-212-1-11-21-1-2211-1-100000002i3−2i30000−i3i3−i3i300000000000000000000000000
χ6744-4-2-24-4422-2-241-2-22-4-1-122-21-2-2-4-24-2-22212-1-112-112-2-1-11100000000000003-3-3300000000000000000000000000
χ6844-4-2-24-4422-2-241-2-22-4-1-122-21-2-2-4-24-2-22212-1-112-112-2-1-1110000000000000-333-300000000000000000000000000
χ694-404440000-4-4-4444000000-4-4-4000000004000-400000000022−220000000000000000000000000000000022−220000000
χ704-404440000-4-4-4444000000-4-4-4000000004000-4000000000−222200000000000000000000000000000000−22220000000
χ714-40-24400−2i32i3-42-4-2-2400−2i32i3−2i32i3-42200000000-20−2i32i3200000000022−2200000000000000000000000000000000−22i6−i600000
χ724-40-24400−2i32i3-42-4-2-2400−2i32i3−2i32i3-42200000000-20−2i32i32000000000−2222000000000000000000000000000000002−2−i6i600000
χ734-40-244002i3−2i3-42-4-2-24002i3−2i32i3−2i3-42200000000-202i3−2i3200000000022−2200000000000000000000000000000000−22−i6i600000
χ744-40-244002i3−2i3-42-4-2-24002i3−2i32i3−2i3-42200000000-202i3−2i32000000000−2222000000000000000000000000000000002−2i6−i600000
χ75888-4-4-488-4-4-4-4-4222-4-42222222-4-4-4-422-4-4-12-1-1-122222-1-1-1-10000000000000000000000000000000000000000000
χ76888-4-4-4-8-8-4-4-4-4-4222-4-422222224444-2-244-12-1-1-1-2-2-2-2-211110000000000000000000000000000000000000000000
χ7788-8-4-4-48-844-4-4-422244-2-2-2-22224-444-2-2-4-4-1-211-122-22-2-1-1110000000000000000000000000000000000000000000
χ7888-8-4-4-4-8844-4-4-422244-2-2-2-2222-44-4-42244-1-211-1-2-22-2211-1-10000000000000000000000000000000000000000000
χ798-8088-40000-8-848-4-40000004-8400000000-400040000000000000000000000000000000000000000000000000000
χ808-808-4800004-8-8-48-400000044-800000000-400040000000000000000000000000000000000000000000000000000
χ818-808-4-400004-84-4-42000000-24400006i−6i002000-200000006i−6i0000000000000000000000000000000000000000000
χ828-808-4-400004-84-4-42000000-2440000−6i6i002000-20000000−6i6i0000000000000000000000000000000000000000000
χ838-80-48-400−4i34i3-844-42-400−4i34i32i3−2i344-200000000202i3−2i3-20000000000000000000000000000000000000000000000000000
χ848-80-48-4004i3−4i3-844-42-4004i3−4i3−2i32i344-20000000020−2i32i3-20000000000000000000000000000000000000000000000000000
χ858-80-4-4800−4i34i344-82-4-4002i3−2i3−4i34i34-2400000000202i3−2i3-20000000000000000000000000000000000000000000000000000
χ868-80-4-48004i3−4i344-82-4-400−2i32i34i3−4i34-240000000020−2i32i3-20000000000000000000000000000000000000000000000000000
χ878-80-4-4-400−4i34i3444222002i3−2i32i3−2i3-2-2-200006i−6i00-10−i3i310000033−33−3i3i0000000000000000000000000000000000000000000
χ888-80-4-4-400−4i34i3444222002i3−2i32i3−2i3-2-2-20000−6i6i00-10−i3i3100000−33333i−3i0000000000000000000000000000000000000000000
χ898-80-4-4-4004i3−4i344422200−2i32i3−2i32i3-2-2-200006i−6i00-10i3−i3100000−3333−3i3i0000000000000000000000000000000000000000000
χ908-80-4-4-4004i3−4i344422200−2i32i3−2i32i3-2-2-20000−6i6i00-10i3−i310000033−333i−3i0000000000000000000000000000000000000000000

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