Finite Group Databasebeta

← Group #11868115

Character table — Group #11868115

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222222222222244444444444444444444888888888888888888888812121212121212122424242424242424242424242424242424242424363636367272
order12222334444666666366666666666121212121212121222666666666666666612121212888888882466881212242424242424242424242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ9111-1-111-1-111-1-1111111-1-1-111-1-1-1-11-1-11-1-11111-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-11-1111-1-1-111-1-111-1-111-1-11-11-11-1
χ10111-1-111-1-111-1-1111111-1-1-111-1-1-1-11-1-11-1-11111-111-1-111-1-11111-1-1-1-111-1-111-1-1-1-1111-111-11-1-111-1-1-1-111-1-111-11-11-11
χ11111-1-111-1-111-1-1111111-1-1-111-1-1-1-11-1-11-1-11111-111-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-11-1-11-111-1-11111-1-111-1-1-11-11-11
χ12111-1-111-1-111-1-1111111-1-1-111-1-1-1-11-1-11-1-11111-111-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-11-1-1-1111-1-111-1-111-1-1111-11-11-1
χ13111-1-111-1-111-1-1111111-1-1-111-1-1-1-11-1-11-1-1111-11-1-111-1-111-1-1-1-1111111-1-111-1-111-1-1-11-1-1-111111-1-111-1-1-1-1111-11-1-11
χ14111-1-111-1-111-1-1111111-1-1-111-1-1-1-11-1-11-1-1111-11-1-111-1-111-1-1-1-1111111-1-111-1-1-1-111-11-1-11-11111-1-1-1-11111-1-1-11-111-1
χ15111-1-111-1-111-1-1111111-1-1-111-1-1-1-11-1-11-1-1111-11-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-11-111-11-1-1-1-11111-1-1-1-111-11-111-1
χ16111-1-111-1-111-1-1111111-1-1-111-1-1-1-11-1-11-1-1111-11-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1111-1111-1-1-1-1-111-1-11111-1-11-11-1-11
χ172222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-200002i−2i2i−2i0000000000002i−2i2i−2i0000000000
χ182222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-20000−2i2i−2i2i000000000000−2i2i−2i2i0000000000
χ19222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-100-1-1-1-1-1-100000000000000
χ20222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2110011111100000000000000
χ21222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1-2-2-2-2-2-2111111111111-1-1-1-122220000-2-2110011-1-1-1-100000000000000
χ22222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1-2-2-2-2-2-2111111111111-1-1-1-1-2-2-2-2000022-1-100-1-1111100000000000000
χ2322222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002222000022000000-1-1-1-1-1-1-1-1000000
χ2422222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-200000011111111000000
χ2522222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-12-2-21111-2-2-2-211111111-1-1-1-1000022220000-2-2000000-1-1-1-11111000000
χ2622222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-12-2-21111-2-2-2-211111111-1-1-1-10000-2-2-2-20000220000001111-1-1-1-1000000
χ2722222-12-2-2-2-2-1-122-12-1-1-122-1-1-1-1-1-1-111-2-2-211-200−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3111100002i−2i2i−2i000000000000−ii−ii3−33−3000000
χ2822222-12-2-2-2-2-1-122-12-1-1-122-1-1-1-1-1-1-111-2-2-211-200−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i311110000−2i2i−2i2i000000000000i−ii−i−33−33000000
χ2922222-12-2-2-2-2-1-122-12-1-1-122-1-1-1-1-1-1-111-2-2-211-200i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3111100002i−2i2i−2i000000000000−ii−ii−33−33000000
χ3022222-12-2-2-2-2-1-122-12-1-1-122-1-1-1-1-1-1-111-2-2-211-200i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i311110000−2i2i−2i2i000000000000i−ii−i3−33−3000000
χ31222-2-22222-2-2-2-2222222-2-2-222-2-2-2-2222-222-2-2-2000000000000000000-2-22200002i−2i−2i2i0000000000002i−2i−2i2i0000000000
χ32222-2-22222-2-2-2-2222222-2-2-222-2-2-2-2222-222-2-2-2000000000000000000-2-2220000−2i2i2i−2i000000000000−2i2i2i−2i0000000000
χ33222-2-22-1-2-222-2-2-1-12-1-12-211-1-11111-1-2-2-11122-12-222-2-2-1-111-1-1-1-11111-1-11122-2-200002-2-1-10011-1-11100000000000000
χ34222-2-22-1-2-222-2-2-1-12-1-12-211-1-11111-1-2-2-11122-12-222-2-2-1-111-1-1-1-11111-1-111-2-2220000-221100-1-111-1-100000000000000
χ35222-2-22-1-2-222-2-2-1-12-1-12-211-1-11111-1-2-2-11122-1-22-2-22211-1-11111-1-1-1-1-1-11122-2-20000-221100-1-1-1-11100000000000000
χ36222-2-22-1-2-222-2-2-1-12-1-12-211-1-11111-1-2-2-11122-1-22-2-22211-1-11111-1-1-1-1-1-111-2-22200002-2-1-1001111-1-100000000000000
χ37222-2-2-1222-2-21122-12-1-11-2-2-1-11111-1-1-1-22211-200−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i311-1-100002i−2i−2i2i000000000000−iii−i3−3−33000000
χ38222-2-2-1222-2-21122-12-1-11-2-2-1-11111-1-1-1-22211-200−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i311-1-10000−2i2i2i−2i000000000000i−i−ii−333−3000000
χ39222-2-2-1222-2-21122-12-1-11-2-2-1-11111-1-1-1-22211-200i3−i3−i3i30000i3i3−i3−i3−i3−i3i3i311-1-100002i−2i−2i2i000000000000−iii−i−333−3000000
χ40222-2-2-1222-2-21122-12-1-11-2-2-1-11111-1-1-1-22211-200i3−i3−i3i30000i3i3−i3−i3−i3−i3i3i311-1-10000−2i2i2i−2i000000000000i−i−ii3−3−33000000
χ41222-2-2-12-2-2221122-12-1-11-2-2-1-11111-1112-2-2-1-122-2-1-11122-2-2-1-1-1-11111-1-111000022-2-200002-2000000-1-111-1-111000000
χ42222-2-2-12-2-2221122-12-1-11-2-2-1-11111-1112-2-2-1-122-2-1-11122-2-2-1-1-1-11111-1-1110000-2-2220000-2200000011-1-111-1-1000000
χ43222-2-2-12-2-2221122-12-1-11-2-2-1-11111-1112-2-2-1-12-2211-1-1-2-2221111-1-1-1-1-1-111000022-2-20000-22000000-1-11111-1-1000000
χ44222-2-2-12-2-2221122-12-1-11-2-2-1-11111-1112-2-2-1-12-2211-1-1-2-2221111-1-1-1-1-1-1110000-2-22200002-200000011-1-1-1-111000000
χ4522-22-2222-22-222-2-2222-2-22-2-2-222-2-222-2-22-22-220000000000000000002-22-22-22-20000000000002-22-200000000000000
χ4622-22-2222-22-222-2-2222-2-22-2-2-222-2-222-2-22-22-220000000000000000002-22-2-22-22000000000000-22-2200000000000000
χ4722-22-222-22-2222-2-2222-2-22-2-2-222-2-22-222-22-22-2000000000000000000-22-2200000000000000000000000000002-2-2200
χ4822-22-222-22-2222-2-2222-2-22-2-2-222-2-22-222-22-22-2000000000000000000-22-220000000000000000000000000000-222-200
χ4922-22-22-12-22-222112-1-1-2-2-1111-1-111-12-21-112-2-1000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-11-112-22-2000000−i3i300−i3i3-11-1100000000000000
χ5022-22-22-12-22-222112-1-1-2-2-1111-1-111-12-21-112-2-1000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-11-11-22-22000000i3−i300i3−i31-11-100000000000000
χ5122-22-22-12-22-222112-1-1-2-2-1111-1-111-12-21-112-2-1000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-11-112-22-2000000i3−i300i3−i3-11-1100000000000000
χ5222-22-22-12-22-222112-1-1-2-2-1111-1-111-12-21-112-2-1000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-11-11-22-22000000−i3i300−i3i31-11-100000000000000
χ5322-2-22222-2-22-2-2-2-2222-22-22-2-2-2-22222-222-2-22-2000000000000000000-222-2000000000000000000000000000022-2-200
χ5422-2-22222-2-22-2-2-2-2222-22-22-2-2-2-22222-222-2-22-2000000000000000000-222-20000000000000000000000000000-2-22200
χ5522-2-2222-222-2-2-2-2-2222-22-22-2-2-2-2222-22-2-222-220000000000000000002-2-222-2-220000000000002-2-2200000000000000
χ5622-2-2222-222-2-2-2-2-2222-22-22-2-2-2-2222-22-2-222-220000000000000000002-2-22-222-2000000000000-222-200000000000000
χ5722-2-222-1-222-2-2-2112-1-1-221-11111-1-1-1-2211-12-2-1000000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i3-111-12-2-22000000−i3i300i3−i3-111-100000000000000
χ5822-2-222-1-222-2-2-2112-1-1-221-11111-1-1-1-2211-12-2-1000000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i3-111-1-222-2000000i3−i300−i3i31-1-1100000000000000
χ5922-2-222-1-222-2-2-2112-1-1-221-11111-1-1-1-2211-12-2-1000000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i3-111-12-2-22000000i3−i300−i3i3-111-100000000000000
χ6022-2-222-1-222-2-2-2112-1-1-221-11111-1-1-1-2211-12-2-1000000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i3-111-1-222-2000000−i3i300i3−i31-1-1100000000000000
χ61444444-2-4-4-4-444-2-24-2-244-2-2-2-2-2-2-2-2-2-4-4222-4-4200000000000000000022220000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-422222222-1-1-1-1-1-1-1-111110000000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211111112222222200−2i32i3−2i32i30000i3i3−i3−i3i3i3−i3−i3-1-1-1-10000000000000000000000000000000000
χ6544444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111111122222222002i3−2i32i3−2i30000−i3−i3i3i3−i3−i3i3i3-1-1-1-10000000000000000000000000000000000
χ66444-4-44-244-4-4-4-4-2-24-2-24-422-2-22222-2442-2-2-4-4200000000000000000022-2-20000000000000000000000000000000000
χ67444-4-4-2-244-4-422-2-2-2-21-222211-1-1-1-11-2-22-2-222200−2i32i32i3−2i30000i3i3−i3−i3−i3−i3i3i3-1-1110000000000000000000000000000000000
χ68444-4-4-2-244-4-422-2-2-2-21-222211-1-1-1-11-2-22-2-2222002i3−2i3−2i32i30000−i3−i3i3i3i3i3−i3−i3-1-1110000000000000000000000000000000000
χ69444-4-4-2-2-4-44422-2-2-2-21-222211-1-1-1-1122-222-2-2-24-4-2-222-2-2221111-1-1-1-111-1-10000000000000000000000000000000000
χ70444-4-4-2-2-4-44422-2-2-2-21-222211-1-1-1-1122-222-2-2-2-4422-2-222-2-2-1-1-1-1111111-1-10000000000000000000000000000000000
χ7144-44-44-2-44-4444224-2-2-4-4-2222-2-222-2-44-22-2-4420000000000000000002-22-20000000000000000000000000000000000
χ7244-44-4-244-44-4-2-2-4-4-24-2224-422-2-222-2-22-44-4-224000000000000000000-22-220000000000000000000000000000000000
χ7344-44-4-24-44-44-2-2-4-4-24-2224-422-2-222-22-24-442-2-40000000000000000002-22-20000000000000000000000000000000000
χ7444-44-4-2-24-44-4-2-222-2-2122-22-1-111-1-11-222-22-22-2000000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i31-11-10000000000000000000000000000000000
χ7544-44-4-2-24-44-4-2-222-2-2122-22-1-111-1-11-222-22-22-20000002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i31-11-10000000000000000000000000000000000
χ7644-44-4-2-2-44-44-2-222-2-2122-22-1-111-1-112-2-22-22-2200000000003-3-333-3-33-11-110000000000000000000000000000000000
χ7744-44-4-2-2-44-44-2-222-2-2122-22-1-111-1-112-2-22-22-220000000000-333-3-333-3-11-110000000000000000000000000000000000
χ7844-4-444-24-4-44-4-4224-2-2-442-22222-2-2-24-4-2-22-4420000000000000000002-2-220000000000000000000000000000000000
χ7944-4-44-244-4-4422-4-4-24-22-2-442222-2-2-2-2244-42-2-40000000000000000002-2-220000000000000000000000000000000000
χ8044-4-44-24-444-422-4-4-24-22-2-442222-2-2-22-2-4-44-224000000000000000000-222-20000000000000000000000000000000000
χ8144-4-44-2-24-4-442222-2-212-22-2-1-1-1-1111-22-2-222-2200000000003-3-33-333-3-111-10000000000000000000000000000000000
χ8244-4-44-2-24-4-442222-2-212-22-2-1-1-1-1111-22-2-222-220000000000-333-33-3-33-111-10000000000000000000000000000000000
χ8344-4-44-2-2-444-42222-2-212-22-2-1-1-1-11112-222-2-22-2000000−2i32i32i3−2i3i3−i3i3−i3−i3i3−i3i31-1-110000000000000000000000000000000000
χ8444-4-44-2-2-444-42222-2-212-22-2-1-1-1-11112-222-2-22-20000002i3−2i3−2i32i3−i3i3−i3i3i3−i3i3−i31-1-110000000000000000000000000000000000
χ858-80008800000000-8-880000000000-80000000000000000000000000000000000000000000000000000000000000000
χ868-80008-4000000−4i34i3-84-40000−4i34i3000040000000000000000000000000000000000000000000000000000000000000000
χ878-80008-40000004i3−4i3-84-400004i3−4i3000040000000000000000000000000000000000000000000000000000000000000000
χ888-8000-480000−4i34i3004-8-4000000−4i34i30040000000000000000000000000000000000000000000000000000000000000000
χ898-8000-4800004i3−4i3004-8-40000004i3−4i30040000000000000000000000000000000000000000000000000000000000000000
χ908-8000-4-40000−4i34i3−4i34i344200002i3−2i32i3−2i36-6-20000000000000000000000000000000000000000000000000000000000000000
χ918-8000-4-40000−4i34i34i3−4i34420000−2i32i32i3−2i3-66-20000000000000000000000000000000000000000000000000000000000000000
χ928-8000-4-400004i3−4i3−4i34i344200002i3−2i3−2i32i3-66-20000000000000000000000000000000000000000000000000000000000000000
χ938-8000-4-400004i3−4i34i3−4i34420000−2i32i3−2i32i36-6-20000000000000000000000000000000000000000000000000000000000000000

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