Finite Group Databasebeta

← Group #11888700

Character table — Group #11888700

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444444446688888888881212121212121212121212121216161616161616162424242424242424243636363636364848484872
order122233446666663666881212121224242424442412122424242424242246688121224242424666612121212444468122424224444121212128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1111111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-11-11-1-1
χ3111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-11
χ4111111111111111111111111111111-1-1111111111-1-11111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111-1-111-11-11-1
χ51111111111111111111111111111-1-11111111111-111-1-1-1-1-1-1-1-1-1-1111111111-11-111111-1-1-1-1-1-1-11-11-1
χ61111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ71111111111111111111111111111-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1111-11-1-1
χ81111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-111111
χ9111111111111111111-1-11111-1-1-1-1111-111-1-1-1-1-1-111111-1-111-1-1-1-11111-1-1-1-11-1-111-11-1-1-1-1111111-1-1-1
χ10111111111111111111-1-11111-1-1-1-1111-111-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-11-11111-1-1-1-11-1-111
χ11111111111111111111-1-11111-1-1-1-111-1111-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-11111-111-11-11-1-11111-1-1-1-111-1
χ12111111111111111111-1-11111-1-1-1-111-1111-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-11-111-1-1-1-111-111-11
χ13111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-111-1-11-11-1-111-1-1-1-1-111-11
χ14111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-111-1-11-111-1-11111-1-111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1111-11-1-1-1-1-1-1111-1-111
χ16111111111111111111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111-1-11-11-1111111-1-111-1-1-1
χ17222222-2-2222222222200-2-2-2-200002200-2-2000000-22-2-2-20022000000000000000020-20000-220000000
χ18222222-2-2222222222200-2-2-2-200002200-2-2000000-2-22-2-200220000000000000000-20200002-20000000
χ19222222-2-2222222222200-2-2-2-20000-2-200-2-200000022-22200-2-2000000000000000020-200002-20000000
χ20222222-2-2222222222200-2-2-2-20000-2-200-2-20000002-222200-2-20000000000000000-2020000-220000000
χ2122222-1222-1-122-1-1-1-1-1222-12-1-1-1-1-12222-1-122-1-1-1-1200-1-122-1-1-1-1-1-12-1-1-1-12-1-1020200000000000-10-100
χ2222222-1222-1-122-1-1-1-1-1222-12-1-1-1-1-122-2-2-1-122-1-1-1-1200-1-122-1-1-1-1-1-1-21111-2110-20-20000000000010100
χ2322222-1222-1-122-1-1-1-1-1222-12-1-1-1-1-1-2-222-1-122-1-1-1-1-20011-2-21111112-1-1-1-12-1-10-20-20000000000010100
χ2422222-1222-1-122-1-1-1-1-1222-12-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-20011-2-2111111-21111-211020200000000000-10-100
χ2522222-1222-1-122-1-1-1-1-1-2-22-12-11111222-2-1-1-2-21111200-1-1-2-2-1-111112-1-1-11-2110-20200000000000-10100
χ2622222-1222-1-122-1-1-1-1-1-2-22-12-1111122-22-1-1-2-21111200-1-1-2-2-1-11111-2111-12-1-1020-20000000000010-100
χ2722222-1222-1-122-1-1-1-1-1-2-22-12-11111-2-22-2-1-1-2-21111-200112211-1-1-1-12-1-1-11-211020-20000000000010-100
χ2822222-1222-1-122-1-1-1-1-1-2-22-12-11111-2-2-22-1-1-2-21111-200112211-1-1-1-1-2111-12-1-10-20200000000000-10100
χ292222-1222-122-1-12-1-1-1-122-12-1222220022-1-1-1-1-1-1-1-10220000000000-12-1-12-1-1-12020-12-1-1-10000000-10-10
χ302222-1222-122-1-12-1-1-1-122-12-1222220022-1-1-1-1-1-1-1-10-2-20000000000-12-1-12-1-1-1-20-201-211100000001010
χ312222-1222-122-1-12-1-1-1-122-12-12222200-2-2-1-1-1-1-1-1-1-102200000000001-211-2111-20-20-12-1-1-100000001010
χ322222-1222-122-1-12-1-1-1-122-12-12222200-2-2-1-1-1-1-1-1-1-10-2-200000000001-211-211120201-21110000000-10-10
χ332222-1222-122-1-12-1-1-1-1-2-2-12-12-2-2-2-2002-2-1-11111110220000000000-12-1-1-211120-20-1-2-1110000000-1010
χ342222-1222-122-1-12-1-1-1-1-2-2-12-12-2-2-2-2002-2-1-11111110-2-20000000000-12-1-1-2111-2020121-1-1000000010-10
χ352222-1222-122-1-12-1-1-1-1-2-2-12-12-2-2-2-200-22-1-111111102200000000001-2112-1-1-1-2020-1-2-111000000010-10
χ362222-1222-122-1-12-1-1-1-1-2-2-12-12-2-2-2-200-22-1-11111110-2-200000000001-2112-1-1-120-20121-1-10000000-1010
χ372-22-222-22-2-2-2-2222-22-22i−2i22-2-22i2i−2i−2i00002-22i−2i2i2i−2i−2i0000000000000000000000000000002-2002i−2i00000
χ382-22-222-22-2-2-2-2222-22-22i−2i22-2-22i2i−2i−2i00002-22i−2i2i2i−2i−2i000000000000000000000000000000-2200−2i2i00000
χ392-22-222-22-2-2-2-2222-22-2−2i2i22-2-2−2i−2i2i2i00002-2−2i2i−2i−2i2i2i0000000000000000000000000000002-200−2i2i00000
χ402-22-222-22-2-2-2-2222-22-2−2i2i22-2-2−2i−2i2i2i00002-2−2i2i−2i−2i2i2i000000000000000000000000000000-22002i−2i00000
χ4144444-2-4-44-2-244-2-2-2-2-200-42-420000440022000000-4002200-2-200000000000000000000000000000000
χ4244444-2-4-44-2-244-2-2-2-2-200-42-420000-4-40022000000400-2-2002200000000000000000000000000000000
χ434444-24-4-4-244-2-24-2-2-2-2002-42-4000000002200000004-40000000000000000000000-2020000000000000
χ444444-24-4-4-244-2-24-2-2-2-2002-42-400000000220000000-44000000000000000000000020-20000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2004411-2-211110000000000000-2-211-2-21100000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-411-2-21111000000000000022-1-122-1-100000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-41122-1-1-1-10000000000000-2-21122-1-100000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-441122-1-1-1-1000000000000022-1-1-2-21100000000000000000000
χ4944-4-44400-44-44-4-44-4-4400000000004i−4i000000000000000004i−4i00000000000000000000000000000000
χ5044-4-44400-44-44-4-44-4-440000000000−4i4i00000000000000000−4i4i00000000000000000000000000000000
χ5144-4-44-200-4-224-42-222-2000000i6−i6i6−i64i−4i000000i6−i6i6−i60000000−2i2i66−6−60000000000000000000000000000
χ5244-4-44-200-4-224-42-222-2000000i6−i6i6−i6−4i4i000000i6−i6i6−i600000002i−2i−6−6660000000000000000000000000000
χ5344-4-44-200-4-224-42-222-2000000−i6i6−i6i64i−4i000000−i6i6−i6i60000000−2i2i−6−6660000000000000000000000000000
χ5444-4-44-200-4-224-42-222-2000000−i6i6−i6i6−4i4i000000−i6i6−i6i600000002i−2i66−6−60000000000000000000000000000
χ554-44-4444-4-4-4-4-4444-44-400-4-44400000000-4400000000000000000000000000000000000000000000000
χ564-44-44-24-4-422-44-2-22-2200-424-2000000002-2000000000000000−2i32i3−2i32i30000000000000000000000000000
χ574-44-44-24-4-422-44-2-22-2200-424-2000000002-20000000000000002i3−2i32i3−2i30000000000000000000000000000
χ584-44-44-2-44-422-44-2-22-224i−4i4-2-42−2i−2i2i2i0000-224i−4i−2i−2i2i2i00000000000000000000000000000000000000000
χ594-44-44-2-44-422-44-2-22-22−4i4i4-2-422i2i−2i−2i0000-22−4i4i2i2i−2i−2i00000000000000000000000000000000000000000
χ604-44-4-244-42-4-42-24-22-22002-4-24000000002-20000000000000000000000000000000000−2i32i300000000000
χ614-44-4-244-42-4-42-24-22-22002-4-24000000002-200000000000000000000000000000000002i3−2i300000000000
χ624-44-4-24-442-4-42-24-22-224i−4i-242-44i4i−4i−4i0000-22−2i2i−2i−2i2i2i00000000000000000000000000000000000000000
χ634-44-4-24-442-4-42-24-22-22−4i4i-242-4−4i−4i4i4i0000-222i−2i2i2i−2i−2i00000000000000000000000000000000000000000
χ644-44-4-2-2-442222-2-21-11-14i−4i-2-222−2i−2i2i2i00001-1−2i2iii−i−i0000000000000003-3003i−3i00000000000000000000
χ654-44-4-2-2-442222-2-21-11-14i−4i-2-222−2i−2i2i2i00001-1−2i2iii−i−i000000000000000-3300−3i3i00000000000000000000
χ664-44-4-2-2-442222-2-21-11-1−4i4i-2-2222i2i−2i−2i00001-12i−2i−i−iii0000000000000003-300−3i3i00000000000000000000
χ674-44-4-2-2-442222-2-21-11-1−4i4i-2-2222i2i−2i−2i00001-12i−2i−i−iii000000000000000-33003i−3i00000000000000000000
χ684-4-4444004-44-4-4-444-4-4000000000000000000000000000−2i22i200−2i22i22i2−2i20000000000000000000000000000
χ694-4-4444004-44-4-4-444-4-40000000000000000000000000002i2−2i2002i2−2i2−2i22i20000000000000000000000000000
χ704-4-444-20042-2-4-42-2-2220000006−6−66000000006−6−66000−2i32i3−2i22i200i2−i2−i2i20000000000000000000000000000
χ714-4-444-20042-2-4-42-2-2220000006−6−66000000006−6−660002i3−2i32i2−2i200−i2i2i2−i20000000000000000000000000000
χ724-4-444-20042-2-4-42-2-222000000−666−600000000−666−6000−2i32i32i2−2i200−i2i2i2−i20000000000000000000000000000
χ734-4-444-20042-2-4-42-2-222000000−666−600000000−666−60002i3−2i3−2i22i200i2−i2−i2i20000000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-4222200444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-8-480048-8-44-8-444-4000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-4004-44-4442-2-220000002i6−2i62i6−2i600000000−i6i6−i6i600000000000000000000000000000000000000000
χ7788-8-8-4-4004-44-4442-2-22000000−2i62i6−2i62i600000000i6−i6i6−i600000000000000000000000000000000000000000
χ788-88-8-4-48-84444-4-42-22-20044-4-400000000-2200000000000000000000000000000000000000000000000
χ798-8-88-4800-4-8844-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-400-44-444422-2-200000026−26−262600000000−666−600000000000000000000000000000000000000000
χ818-8-88-4-400-44-444422-2-2000000−262626−26000000006−6−6600000000000000000000000000000000000000000

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