Finite Group Databasebeta

← Group #11785928

Character table — Group #11785928

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11222222222222222444444444444444444444444888888888888888888882424242424242424242424242424242424242424242424243636363636363636
order1222233444466666622223666666666661212121212121212666666666666666612121212888888882424242424242424242424242424242444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-1
χ101111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii-1-111-1-111
χ111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i-1-111-1-111
χ121111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-111-1-1
χ131111111-1-1-1-1111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111
χ141111111-1-1-1-1111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1
χ151111111-1-1-1-1111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1
χ161111111-1-1-1-1111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111
χ17222222-1222222-1-12-12222-122-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100000000
χ18222222-1222222-1-12-12222-122-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100000000
χ19222222-1222222-1-12-1-2-2-2-2-122-1-1-1-1-1-1-1-1-122-1-122-1-1-2-211-2-21111111111-1-1-1-1000022-2-200000000-1-1-1-1111100000000
χ20222222-1222222-1-12-1-2-2-2-2-122-1-1-1-1-1-1-1-1-122-1-122-1-1-2-211-2-21111111111-1-1-1-10000-2-222000000001111-1-1-1-100000000
χ21222222-1-2-2-2-222-1-12-122-2-2-122-1-1-1-1-1-1-1-1-1-2-211-2-21122-1-1-2-211-1-1-1-11111111100002i−2i2i−2i00000000−i−iii−i−iii00000000
χ22222222-1-2-2-2-222-1-12-122-2-2-122-1-1-1-1-1-1-1-1-1-2-211-2-21122-1-1-2-211-1-1-1-1111111110000−2i2i−2i2i00000000ii−i−iii−i−i00000000
χ23222222-1-2-2-2-222-1-12-1-2-222-122-1-1-1-1-1-1-1-1-1-2-211-2-211-2-21122-1-11111-1-1-1-1111100002i−2i−2i2i00000000−i−iiiii−i−i00000000
χ24222222-1-2-2-2-222-1-12-1-2-222-122-1-1-1-1-1-1-1-1-1-2-211-2-211-2-21122-1-11111-1-1-1-111110000−2i2i2i−2i00000000ii−i−i−i−iii00000000
χ2522222-122222-1-122-122222-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000
χ2622222-122222-1-122-122222-1-1-122-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000000000
χ2722222-122222-1-122-12-2-2-2-2-1-1-122-1-1-1-1-1-1-1-1-122-1-12211-2-211-2-211111111-1-1-1-122-2-20000-1-1-1-111110000000000000000
χ2822222-122222-1-122-12-2-2-2-2-1-1-122-1-1-1-1-1-1-1-1-122-1-12211-2-211-2-211111111-1-1-1-1-2-22200001111-1-1-1-10000000000000000
χ2922222-12-2-2-2-2-1-122-1222-2-2-1-1-122-1-1-1-1-1-1-111-2-211-2-2-1-12211-2-2-1-1-1-1111111112i−2i2i−2i0000−i−iii−i−iii0000000000000000
χ3022222-12-2-2-2-2-1-122-1222-2-2-1-1-122-1-1-1-1-1-1-111-2-211-2-2-1-12211-2-2-1-1-1-111111111−2i2i−2i2i0000ii−i−iii−i−i0000000000000000
χ3122222-12-2-2-2-2-1-122-12-2-222-1-1-122-1-1-1-1-1-1-111-2-211-2-211-2-2-1-1221111-1-1-1-111112i−2i−2i2i0000−i−iiiii−i−i0000000000000000
χ3222222-12-2-2-2-2-1-122-12-2-222-1-1-122-1-1-1-1-1-1-111-2-211-2-211-2-2-1-1221111-1-1-1-11111−2i2i2i−2i0000ii−i−i−i−iii0000000000000000
χ33222-2-22222-2-222-2-22200002-2-22-222-2-2-2-222-22-22-22-2000000000000000022-2-200000000000000000000000000002i−2i2i−2i
χ34222-2-22222-2-222-2-22200002-2-22-222-2-2-2-222-22-22-22-2000000000000000022-2-20000000000000000000000000000−2i2i−2i2i
χ35222-2-222-2-22222-2-22200002-2-22-222-2-2-2-22-22-22-22-220000000000000000-2-22200000000000000000000000000002i−2i−2i2i
χ36222-2-222-2-22222-2-22200002-2-22-222-2-2-2-22-22-22-22-220000000000000000-2-2220000000000000000000000000000−2i2i2i−2i
χ3722-22-2222-22-2-2-22222000022-2-2-2-2-222-2-222-2-22-222-200000000000000002-22-20000000000000000000000002i−2i2i−2i0000
χ3822-22-2222-22-2-2-22222000022-2-2-2-2-222-2-222-2-22-222-200000000000000002-22-2000000000000000000000000−2i2i−2i2i0000
χ3922-22-222-22-22-2-22222000022-2-2-2-2-222-2-22-222-22-2-220000000000000000-22-220000000000000000000000002i−2i−2i2i0000
χ4022-22-222-22-22-2-22222000022-2-2-2-2-222-2-22-222-22-2-220000000000000000-22-22000000000000000000000000−2i2i2i−2i0000
χ4122-2-22222-2-22-2-2-2-2222-22-22-22-22-2-2-2-222222-2-2-2-2222-22-22-22-222-2-222-2-22-2-2200000000000000000000000000000000
χ4222-2-22222-2-22-2-2-2-222-22-222-22-22-2-2-2-222222-2-2-2-222-22-22-22-22-2-222-2-2222-2-2200000000000000000000000000000000
χ4322-2-2222-222-2-2-2-2-2222-2-222-22-22-2-2-2-2222-2-22222-2-22-22-2-22-2222-2-2-2-222-222-200000000000000000000000000000000
χ4422-2-2222-222-2-2-2-2-222-222-22-22-22-2-2-2-2222-2-22222-2-2-22-222-22-2-2-22222-2-2-222-200000000000000000000000000000000
χ4522-2-222-12-2-22-2-2112-12-22-2-1-221-11111-1-1-12211-2-2-1-12-2-112-2-11-1-111-1-111-111-10000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ4622-2-222-12-2-22-2-2112-12-22-2-1-221-11111-1-1-12211-2-2-1-12-2-112-2-11-1-111-1-111-111-10000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ4722-2-222-12-2-22-2-2112-1-22-22-1-221-11111-1-1-12211-2-2-1-1-221-1-221-111-1-111-1-1-111-10000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ4822-2-222-12-2-22-2-2112-1-22-22-1-221-11111-1-1-12211-2-2-1-1-221-1-221-111-1-111-1-1-111-10000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ4922-2-222-1-222-2-2-2112-12-2-22-1-221-11111-1-1-1-2-2-1-122112-2-11-221-1-1-11111-1-11-1-1100000000000000003−3−333−3−3300000000
χ5022-2-222-1-222-2-2-2112-12-2-22-1-221-11111-1-1-1-2-2-1-122112-2-11-221-1-1-11111-1-11-1-110000000000000000−333−3−333−300000000
χ5122-2-222-1-222-2-2-2112-1-222-2-1-221-11111-1-1-1-2-2-1-12211-221-12-2-1111-1-1-1-1111-1-1100000000000000003−3−33−333−300000000
χ5222-2-222-1-222-2-2-2112-1-222-2-1-221-11111-1-1-1-2-2-1-12211-221-12-2-1111-1-1-1-1111-1-110000000000000000−333−33−3−3300000000
χ5322-2-22-122-2-2211-2-2-122-22-2-11-1-221111-1-1-1-1-1-2-21122-112-2-112-2-1-111-1-111-111-1000000003−33−33−33−30000000000000000
χ5422-2-22-122-2-2211-2-2-122-22-2-11-1-221111-1-1-1-1-1-2-21122-112-2-112-2-1-111-1-111-111-100000000−33−33−33−330000000000000000
χ5522-2-22-122-2-2211-2-2-12-22-22-11-1-221111-1-1-1-1-1-2-211221-1-221-1-2211-1-111-1-1-111-1000000003−33−3−33−330000000000000000
χ5622-2-22-122-2-2211-2-2-12-22-22-11-1-221111-1-1-1-1-1-2-211221-1-221-1-2211-1-111-1-1-111-100000000−33−333−33−30000000000000000
χ5722-2-22-12-222-211-2-2-122-2-22-11-1-221111-1-1-11122-1-1-2-2-112-21-1-22-1-11111-1-11-1-1100000000−i3i3i3−i3−i3i3i3−i30000000000000000
χ5822-2-22-12-222-211-2-2-122-2-22-11-1-221111-1-1-11122-1-1-2-2-112-21-1-22-1-11111-1-11-1-1100000000i3−i3−i3i3i3−i3−i3i30000000000000000
χ5922-2-22-12-222-211-2-2-12-222-2-11-1-221111-1-1-11122-1-1-2-21-1-22-112-211-1-1-1-1111-1-1100000000−i3i3i3−i3i3−i3−i3i30000000000000000
χ6022-2-22-12-222-211-2-2-12-222-2-11-1-221111-1-1-11122-1-1-2-21-1-22-112-211-1-1-1-1111-1-1100000000i3−i3−i3i3−i3i3i3−i30000000000000000
χ6144444-2-24444-2-2-2-2-2-244441-2-2-2-21111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-2-2-4-4-4-41-2-2-2-21111111-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1111100000000000000000000000000000000
χ6344444-2-2-4-4-4-4-2-2-2-2-2-244-4-41-2-2-2-2111111122222222-2-2-2-222221111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ6444444-2-2-4-4-4-4-2-2-2-2-2-2-4-4441-2-2-2-21111111222222222222-2-2-2-2-1-1-1-11111-1-1-1-100000000000000000000000000000000
χ65444-4-44-244-4-444224-20000-2-4-4-22-2-22222-24-4-224-4-220000000000000000-2-22200000000000000000000000000000000
χ66444-4-44-2-4-44444224-20000-2-4-4-22-2-22222-2-442-2-442-2000000000000000022-2-200000000000000000000000000000000
χ67444-4-4-2444-4-4-2-2-4-4-240000-2224-4-2-22222-2-224-4-224-40000000000000000-2-22200000000000000000000000000000000
χ68444-4-4-24-4-444-2-2-4-4-240000-2224-4-2-22222-22-2-442-2-44000000000000000022-2-200000000000000000000000000000000
χ69444-4-4-2-244-4-4-2-222-2-20000122-2211-1-1-1-11-22-22-22-22000000003-33-33-33-311-1-100000000000000000000000000000000
χ70444-4-4-2-244-4-4-2-222-2-20000122-2211-1-1-1-11-22-22-22-2200000000-33-33-33-3311-1-100000000000000000000000000000000
χ71444-4-4-2-2-4-444-2-222-2-20000122-2211-1-1-1-112-22-22-22-2000000003-33-3-33-33-1-11100000000000000000000000000000000
χ72444-4-4-2-2-4-444-2-222-2-20000122-2211-1-1-1-112-22-22-22-200000000-33-333-33-3-1-11100000000000000000000000000000000
χ7344-44-44-24-44-4-4-4-2-24-20000-24-42222-2-222-24-42-2-44-220000000000000000-22-2200000000000000000000000000000000
χ7444-44-44-2-44-44-4-4-2-24-20000-24-42222-2-222-2-44-224-42-200000000000000002-22-200000000000000000000000000000000
χ7544-44-4-244-44-42244-240000-2-22-4-422-2-222-2-22-442-24-40000000000000000-22-2200000000000000000000000000000000
χ7644-44-4-24-44-442244-240000-2-22-4-422-2-222-22-24-4-22-4400000000000000002-22-200000000000000000000000000000000
χ7744-44-4-2-24-44-422-2-2-2-200001-2222-1-111-1-11-222-22-2-22000000003-3-333-3-331-11-100000000000000000000000000000000
χ7844-44-4-2-24-44-422-2-2-2-200001-2222-1-111-1-11-222-22-2-2200000000-333-3-333-31-11-100000000000000000000000000000000
χ7944-44-4-2-2-44-4422-2-2-2-200001-2222-1-111-1-112-2-22-222-2000000003-3-33-333-3-11-1100000000000000000000000000000000
χ8044-44-4-2-2-44-4422-2-2-2-200001-2222-1-111-1-112-2-22-222-200000000-333-33-3-33-11-1100000000000000000000000000000000
χ8144-4-44-2-24-4-442222-2-24-44-412-22-2-1-1-1-1111-2-22222-2-2-22-22-22-2211-1-111-1-11-1-1100000000000000000000000000000000
χ8244-4-44-2-24-4-442222-2-2-44-4412-22-2-1-1-1-1111-2-22222-2-22-22-22-22-2-1-111-1-1111-1-1100000000000000000000000000000000
χ8344-4-44-2-2-444-42222-2-24-4-4412-22-2-1-1-1-111122-2-2-2-222-22-222-22-211-1-1-1-111-111-100000000000000000000000000000000
χ8444-4-44-2-2-444-42222-2-2-444-412-22-2-1-1-1-111122-2-2-2-2222-22-2-22-22-1-11111-1-1-111-100000000000000000000000000000000
χ858-80008800000000-8-8000080000000000-8000000000000000000000000000000000000000000000000000000000000
χ868-80008-4000000−4i34i3-840000-4000000−4i34i3004000000000000000000000000000000000000000000000000000000000000
χ878-80008-40000004i3−4i3-840000-40000004i3−4i3004000000000000000000000000000000000000000000000000000000000000
χ888-8000-480000−4i34i3004-80000-40000−4i34i300004000000000000000000000000000000000000000000000000000000000000
χ898-8000-4800004i3−4i3004-80000-400004i3−4i300004000000000000000000000000000000000000000000000000000000000000
χ908-8000-4-40000−4i34i3−4i34i3440000200002i3−2i32i3−2i36-6-2000000000000000000000000000000000000000000000000000000000000
χ918-8000-4-40000−4i34i34i3−4i3440000200002i3−2i3−2i32i3-66-2000000000000000000000000000000000000000000000000000000000000
χ928-8000-4-400004i3−4i3−4i34i344000020000−2i32i32i3−2i3-66-2000000000000000000000000000000000000000000000000000000000000
χ938-8000-4-400004i3−4i34i3−4i344000020000−2i32i3−2i32i36-6-2000000000000000000000000000000000000000000000000000000000000

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