Finite Group Databasebeta

← Group #11876955

Character table — Group #11876955

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466668888888888121212121212121212121212121216161616161616161818181824242424242424243636484848487272
order1222334466666636668812121212242424244444441212242424242424248888121212122424242412121212121212124444224461224248866121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1
χ311111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-111-1-1-1-1
χ61111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-111111-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-11-111-1-111111-11-111-1-1-1-11-11-11-1
χ10111111111111111111-1-11111-1-1-1-111111-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11-111-1-1-1-1-1-1-111-1-1-11111-111-1-11
χ11111111111111111111-1-11111-1-1-1-11111-1111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11-11-1-1111111-11-1111-1-1-1-1-11-11-11
χ12111111111111111111-1-11111-1-1-1-11111-1111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-1-111-1-1-1-11-1-11-1-111111-1-111-1
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-111-1-111-1-1-1-111111-11-111-1-1-1-1-1-11-1-1111-1-1111-1-11-11
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-11111-11-11-1-111-1-1-11-111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-1-1-11111-11-11-1-111-1-1-1-1-111-111-1-111-111-11-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-11111111-11-1-1-111-1-11-11-1-11
χ17222222-2-2222222222200-2-2-2-2000022-2-200-2-20000002-2000022-2-200000000000022-2-200002-20000000000
χ18222222-2-2222222222200-2-2-2-2000022-2-200-2-2000000-22000022-2-2000000000000-2-2220000-220000000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200-2-20000002-20000-2-222000000000000-2-22200002-20000000000
χ20222222-2-2222222222200-2-2-2-20000-2-22200-2-2000000-220000-2-22200000000000022-2-20000-220000000000
χ2122222-1222-1-1-122-1-1-1-122-122-12222000022-1-1-1-1-1-1-1-122220000000000-1-122-1-1-1-100002200-1-1-1-100-1-10000
χ2222222-1222-1-1-122-1-1-1-122-122-12222000022-1-1-1-1-1-1-1-1-2-2-2-20000000000-1-122-1-1-1-10000-2-200111100110000
χ2322222-1222-1-1-122-1-1-1-122-122-122220000-2-2-1-1-1-1-1-1-1-12222000000000011-2-211110000-2-200-1-1-1-100110000
χ2422222-1222-1-1-122-1-1-1-122-122-122220000-2-2-1-1-1-1-1-1-1-1-2-2-2-2000000000011-2-2111100002200111100-1-10000
χ2522222-1222-1-1-122-1-1-1-1-2-2-122-1-2-2-2-200002-2-1-111111122-2-20000000000-112-2-1-11100002-200-1-11100-110000
χ2622222-1222-1-1-122-1-1-1-1-2-2-122-1-2-2-2-200002-2-1-1111111-2-2220000000000-112-2-1-1110000-220011-1-1001-10000
χ2722222-1222-1-1-122-1-1-1-1-2-2-122-1-2-2-2-20000-22-1-111111122-2-200000000001-1-2211-1-10000-2200-1-111001-10000
χ2822222-1222-1-1-122-1-1-1-1-2-2-122-1-2-2-2-20000-22-1-1111111-2-22200000000001-1-2211-1-100002-20011-1-100-110000
χ292222-1222-1222-1-1-1-1-1-1222-1-12-1-1-1-1222222-1-122-1-1-1-1000022-1-1-1-1-1-1-1-122-1-1-1-1-1-10000002200000000-1-100
χ302222-1222-1222-1-1-1-1-1-1222-1-12-1-1-1-12222-2-2-1-122-1-1-1-1000022-1-1-1-1-1-1-1-1-2-2111111000000-2-2000000001100
χ312222-1222-1222-1-1-1-1-1-1222-1-12-1-1-1-1-2-2-2-222-1-122-1-1-1-10000-2-21111111122-1-1-1-1-1-1000000-2-2000000001100
χ322222-1222-1222-1-1-1-1-1-1222-1-12-1-1-1-1-2-2-2-2-2-2-1-122-1-1-1-10000-2-211111111-2-21111110000002200000000-1-100
χ332222-1222-1222-1-1-1-1-1-1-2-22-1-12111122222-2-1-1-2-211110000-2-2-1-1-1-111112-2-11-1-1110000002-200000000-1100
χ342222-1222-1222-1-1-1-1-1-1-2-22-1-1211112222-22-1-1-2-211110000-2-2-1-1-1-11111-221-111-1-1000000-22000000001-100
χ352222-1222-1222-1-1-1-1-1-1-2-22-1-121111-2-2-2-22-2-1-1-2-211110000221111-1-1-1-12-2-11-1-111000000-22000000001-100
χ362222-1222-1222-1-1-1-1-1-1-2-22-1-121111-2-2-2-2-22-1-1-2-211110000221111-1-1-1-1-221-111-1-10000002-200000000-1100
χ372-2-22222-22-2-22-2-222-2-22-2-22-2222-2-2000000-222-222-2-200000000000000000000002i−2i2i−2i000000002i−2i000000
χ382-2-22222-22-2-22-2-222-2-22-2-22-2222-2-2000000-222-222-2-20000000000000000000000−2i2i−2i2i00000000−2i2i000000
χ392-2-22222-22-2-22-2-222-2-2-22-22-22-2-222000000-22-22-2-22200000000000000000000002i−2i2i−2i00000000−2i2i000000
χ402-2-22222-22-2-22-2-222-2-2-22-22-22-2-222000000-22-22-2-2220000000000000000000000−2i2i−2i2i000000002i−2i000000
χ412-2-2222-222-2-22-2-222-2-2002-22-200000000002-2000000002i−2i2-2000022-2-2000000002i−2i−2i2i0000002i−2i00000000
χ422-2-2222-222-2-22-2-222-2-2002-22-200000000002-2000000002i−2i-220000-2-22200000000−2i2i2i−2i0000002i−2i00000000
χ432-2-2222-222-2-22-2-222-2-2002-22-200000000002-200000000−2i2i2-2000022-2-200000000−2i2i2i−2i000000−2i2i00000000
χ442-2-2222-222-2-22-2-222-2-2002-22-200000000002-200000000−2i2i-220000-2-222000000002i−2i−2i2i000000−2i2i00000000
χ4544444-2-4-44-2-2-244-2-2-2-2002-4-420000000000220000004-40000000000000000000000000000-220000000000
χ4644444-2-4-44-2-2-244-2-2-2-2002-4-42000000000022000000-4400000000000000000000000000002-20000000000
χ474444-24-4-4-2444-2-2-2-2-2-200-422-4000044-4-40022000000000000-2-22200000000000000000000000000000000
χ484444-24-4-4-2444-2-2-2-2-2-200-422-40000-4-444002200000000000022-2-200000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200004411-2-2111100000000000000-2-2-2-2111100000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000-4-411-2-21111000000000000002222-1-1-1-100000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200004-41122-1-1-1-100000000000000-22-2211-1-100000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000-441122-1-1-1-1000000000000002-22-2-1-11100000000000000000000
χ5344-4-44400-44-4-44-44-44-40000000000004i−4i0000000000000000004i−4i00000000000000000000000000000000
χ5444-4-44400-44-4-44-44-44-4000000000000−4i4i000000000000000000−4i4i00000000000000000000000000000000
χ5544-4-4-240024-4-4-22-22-220000006−66−6004i−4i0000006−66−600000000−2i2ii6−i6i6−i60000000000000000000000000000
χ5644-4-4-240024-4-4-22-22-220000006−66−600−4i4i0000006−66−6000000002i−2i−i6i6−i6i60000000000000000000000000000
χ5744-4-4-240024-4-4-22-22-22000000−66−66004i−4i000000−66−6600000000−2i2i−i6i6−i6i60000000000000000000000000000
χ5844-4-4-240024-4-4-22-22-22000000−66−6600−4i4i000000−66−66000000002i−2ii6−i6i6−i60000000000000000000000000000
χ594-44-44400-4-44-4-444-4-4400000000004i−4i0000000000000000004i−4i0000000000000000000000000000000000
χ604-44-44400-4-44-4-444-4-440000000000−4i4i000000000000000000−4i4i0000000000000000000000000000000000
χ614-44-4-24002-44-42-2-222-20000006−6−664i−4i000000006−6−66000000−2i2i00i6−i6−i6i60000000000000000000000000000
χ624-44-4-24002-44-42-2-222-20000006−6−66−4i4i000000006−6−660000002i−2i00−i6i6i6−i60000000000000000000000000000
χ634-44-4-24002-44-42-2-222-2000000−666−64i−4i00000000−666−6000000−2i2i00−i6i6i6−i60000000000000000000000000000
χ644-44-4-24002-44-42-2-222-2000000−666−6−4i4i00000000−666−60000002i−2i00i6−i6−i6i60000000000000000000000000000
χ654-4-444-24-4422-2-4-4-2-2224-424-4-244-4-40000002-2-22-2-222000000000000000000000000000000000000000000
χ664-4-444-24-4422-2-4-4-2-222-4424-4-2-4-4440000002-22-222-2-2000000000000000000000000000000000000000000
χ674-4-444-2-44422-2-4-4-2-22200-2-4420000000000-22000000004i−4i0000000000000000000000000000−2i2i00000000
χ684-4-444-2-44422-2-4-4-2-22200-2-4420000000000-2200000000−4i4i00000000000000000000000000002i−2i00000000
χ694-4-44-244-4-2-4-4422-2-2224-4-4-224-2-2220000002-24-4-2-222000000000000000000000000000000000000000000
χ704-4-44-244-4-2-4-4422-2-222-44-4-22422-2-20000002-2-4422-2-2000000000000000000000000000000000000000000
χ714-4-44-24-44-2-4-4422-2-2220042-2-40000000000-2200000000004-40000-2-2220000000000000000000000000000
χ724-4-44-24-44-2-4-4422-2-2220042-2-40000000000-220000000000-44000022-2-20000000000000000000000000000
χ734-4-44-2-24-4-222-22211-1-14-42-22-2-2-222000000-11-2211-1-10000000000000000003i−3i3i−3i00000000000000000000
χ744-4-44-2-24-4-222-22211-1-14-42-22-2-2-222000000-11-2211-1-1000000000000000000−3i3i−3i3i00000000000000000000
χ754-4-44-2-24-4-222-22211-1-1-442-22-222-2-2000000-112-2-1-1110000000000000000003i−3i−3i3i00000000000000000000
χ764-4-44-2-24-4-222-22211-1-1-442-22-222-2-2000000-112-2-1-111000000000000000000−3i3i3i−3i00000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7888-8-88-400-8-4448-8-44-44000000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-4004-444-442-22-200000026−2626−260000000000−66−66000000000000000000000000000000000000000000
χ8088-8-8-4-4004-444-442-22-2000000−2626−262600000000006−66−6000000000000000000000000000000000000000000
χ818-88-88-400-84-44-88-444-4000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-40044-444-42-2-2200000026−26−26260000000000−666−6000000000000000000000000000000000000000000
χ838-88-8-4-40044-444-42-2-22000000−262626−2600000000006−6−66000000000000000000000000000000000000000000
χ848-8-88-4-4-88-444-44422-2-200-44-4400000000002-2000000000000000000000000000000000000000000000000

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