Extensions 1→N→G→Q→1 with N=Dic32 and Q=C2

Direct product G=N×Q with N=Dic32 and Q=C2
dρLabelID
C2×Dic3296C2xDic3^2288,602

Semidirect products G=N:Q with N=Dic32 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic321C2 = C62.51C23φ: C2/C1C2 ⊆ Out Dic3248Dic3^2:1C2288,529
Dic322C2 = C62.74C23φ: C2/C1C2 ⊆ Out Dic3248Dic3^2:2C2288,552
Dic323C2 = C62.77C23φ: C2/C1C2 ⊆ Out Dic3248Dic3^2:3C2288,555
Dic324C2 = C62.101C23φ: C2/C1C2 ⊆ Out Dic3248Dic3^2:4C2288,607
Dic325C2 = Dic3×C3⋊D4φ: C2/C1C2 ⊆ Out Dic3248Dic3^2:5C2288,620
Dic326C2 = C62.115C23φ: C2/C1C2 ⊆ Out Dic3248Dic3^2:6C2288,621
Dic327C2 = C62.121C23φ: C2/C1C2 ⊆ Out Dic3248Dic3^2:7C2288,627
Dic328C2 = Dic3≀C2φ: C2/C1C2 ⊆ Out Dic32244-Dic3^2:8C2288,389
Dic329C2 = C62.6C23φ: C2/C1C2 ⊆ Out Dic3248Dic3^2:9C2288,484
Dic3210C2 = C62.11C23φ: C2/C1C2 ⊆ Out Dic3296Dic3^2:10C2288,489
Dic3211C2 = C62.18C23φ: C2/C1C2 ⊆ Out Dic3248Dic3^2:11C2288,496
Dic3212C2 = C62.19C23φ: C2/C1C2 ⊆ Out Dic3248Dic3^2:12C2288,497
Dic3213C2 = C62.28C23φ: C2/C1C2 ⊆ Out Dic3296Dic3^2:13C2288,506
Dic3214C2 = C62.31C23φ: C2/C1C2 ⊆ Out Dic3296Dic3^2:14C2288,509
Dic3215C2 = C62.47C23φ: C2/C1C2 ⊆ Out Dic3296Dic3^2:15C2288,525
Dic3216C2 = C62.48C23φ: C2/C1C2 ⊆ Out Dic3296Dic3^2:16C2288,526
Dic3217C2 = C62.49C23φ: C2/C1C2 ⊆ Out Dic3296Dic3^2:17C2288,527
Dic3218C2 = C62.83C23φ: C2/C1C2 ⊆ Out Dic3296Dic3^2:18C2288,561
Dic3219C2 = C62.94C23φ: C2/C1C2 ⊆ Out Dic3248Dic3^2:19C2288,600
Dic3220C2 = C62.95C23φ: C2/C1C2 ⊆ Out Dic3248Dic3^2:20C2288,601
Dic3221C2 = C62.97C23φ: C2/C1C2 ⊆ Out Dic3248Dic3^2:21C2288,603
Dic3222C2 = C62.98C23φ: C2/C1C2 ⊆ Out Dic3248Dic3^2:22C2288,604
Dic3223C2 = C62.99C23φ: C2/C1C2 ⊆ Out Dic3248Dic3^2:23C2288,605
Dic3224C2 = C4×S3×Dic3φ: trivial image96Dic3^2:24C2288,523
Dic3225C2 = C4×C6.D6φ: trivial image48Dic3^2:25C2288,530

Non-split extensions G=N.Q with N=Dic32 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic32.1C2 = C62.8C23φ: C2/C1C2 ⊆ Out Dic3296Dic3^2.1C2288,486
Dic32.2C2 = C62.9C23φ: C2/C1C2 ⊆ Out Dic3296Dic3^2.2C2288,487
Dic32.3C2 = C62.10C23φ: C2/C1C2 ⊆ Out Dic3296Dic3^2.3C2288,488
Dic32.4C2 = Dic3×Dic6φ: C2/C1C2 ⊆ Out Dic3296Dic3^2.4C2288,490
Dic32.5C2 = C62.13C23φ: C2/C1C2 ⊆ Out Dic3296Dic3^2.5C2288,491
Dic32.6C2 = Dic3.Dic6φ: C2/C1C2 ⊆ Out Dic3296Dic3^2.6C2288,493
Dic32.7C2 = C62.16C23φ: C2/C1C2 ⊆ Out Dic3296Dic3^2.7C2288,494
Dic32.8C2 = Dic35Dic6φ: C2/C1C2 ⊆ Out Dic3296Dic3^2.8C2288,485
Dic32.9C2 = Dic36Dic6φ: C2/C1C2 ⊆ Out Dic3296Dic3^2.9C2288,492
Dic32.10C2 = C62.17C23φ: C2/C1C2 ⊆ Out Dic3296Dic3^2.10C2288,495

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