Subgroups — C₂²×#359681 #72317774

Order 2048.

At least 12076 conjugacy classes of subgroups; only the 19584 normal subgroups are shown.

The subgroup lattice has 1678 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#10778	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#11033	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×#10794	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×#11032	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂²×#20995	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂²×#11014	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂²×#11012	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×#20945	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×#20998	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×#21005	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂²×#20620	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×#20616	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂²×#60093	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#359681	C₂	1	48	yes	maximal, direct product factor
15	C₂³×#1795	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂³×#3585	C₂	1	1	yes	maximal, characteristic
17	C₂³×#585	C₂²	1	1	yes	characteristic
18	C₂⁴×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
19	C₂²×#3585	C₄	1	24	yes	complemented
20	C₂²×#3585	C₂²	1	24	yes	—
21	C₂³×#577	C₄	1	4	yes	complemented
22	C₂³×#576	C₄	1	4	yes	complemented
23	C₂³×#575	C₂²	1	1	yes	characteristic
24	C₂³×#575	C₂²	1	1	yes	characteristic
25	C₂⁴×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
26	C₂⁴×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
27	C₂³×#568	C₂²	1	1	yes	characteristic
28	C₂³×#568	C₂²	1	1	yes	characteristic, complemented
29	C₂²×#3428	C₂²	1	1	yes	characteristic, complemented
30	C₂²×#2879	C₂²	1	1	yes	characteristic, complemented
31	C₂³×#410	C₂²	1	1	yes	characteristic, complemented
32	C₂³×#410	C₂²	1	1	yes	characteristic, complemented
33	C₂×#60093	C₂²	1	24	yes	complemented
34	C₂²×#2896	C₂²	1	1	yes	characteristic
35	C₂²×#2896	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#2896	C₂²	1	1	yes	characteristic, complemented
37	C₂³×#413	C₂²	1	1	yes	characteristic, complemented
38	C₂³×#421	C₂²	1	1	yes	characteristic
39	C₂³×#421	C₂²	1	1	yes	characteristic
40	C₂³×#421	C₂²	1	1	yes	characteristic
41	C₂³×#421	C₂²	1	1	yes	characteristic, complemented
42	C₂³×#421	C₂²	1	1	yes	characteristic, complemented
43	C₂³×#421	C₂²	1	1	yes	characteristic, complemented
44	C₂³×#421	C₂²	1	1	yes	characteristic, complemented
45	C₂³×#418	C₂²	1	1	yes	characteristic, complemented
46	C₂³×#418	C₂²	1	1	yes	characteristic, complemented
47	C₂⁴×#100	C₂²	1	1	yes	characteristic, complemented
48	C₂²×#2309	C₂²	1	1	yes	characteristic, complemented
49	C₂×#21005	C₂²	1	24	yes	complemented
50	C₂×#20998	C₂²	1	24	yes	complemented
51	C₂×#20995	C₂²	1	24	yes	complemented
52	C₂×#20945	C₂²	1	24	yes	complemented
53	C₂²×#1795	C₂²	1	24	yes	complemented
54	C₂×#20620	C₂²	1	24	yes	complemented
55	C₂×#20616	C₂²	1	24	yes	complemented
56	C₂³×#344	C₂²	1	1	yes	characteristic, complemented
57	C₂³×#344	C₂²	1	1	yes	characteristic, complemented
58	C₂²×#1742	C₂²	1	1	yes	characteristic, complemented
59	C₂²×#1742	C₂²	1	1	yes	characteristic, complemented
60	C₂²×#1738	C₂²	1	1	yes	characteristic, complemented
61	C₂²×#1733	C₂²	1	1	yes	characteristic, complemented
62	C₂³×#338	C₂²	1	1	yes	characteristic, complemented
63	C₂³×H(3,ℤ/4)	C₂²	1	1	yes	characteristic, complemented
64	#359681	C₂²	1	256	yes	direct product factor
65	C₂×#11033	C₂²	1	24	yes	complemented
66	C₂×#11032	C₂²	1	24	yes	complemented
67	C₂×#11014	C₂²	1	24	yes	complemented
68	C₂×#11012	C₂²	1	24	yes	complemented
69	C₂×#10794	C₂²	1	24	yes	complemented
70	C₂×#10778	C₂²	1	24	yes	complemented
71	C₂²×#585	C₂×C₄	1	12	yes	—
72	C₂²×#585	D₄	1	4	yes	—
73	C₂²×#585	D₄	1	12	yes	—
74	C₂²×#585	D₄	1	4	yes	—
75	C₂²×#585	D₄	1	12	yes	—
76	C₂²×#585	C₂³	1	12	yes	—
77	C₂³×2₋¹⁺⁴	C₂×C₄	1	2	yes	—
78	C₂³×H(5,𝔽₂)	C₂×C₄	1	2	yes	—
79	C₂³×H(5,𝔽₂)	C₂×C₄	1	4	yes	complemented
80	C₂³×H(5,𝔽₂)	C₂×C₄	1	12	yes	complemented
81	C₂³×H(5,𝔽₂)	C₂³	1	12	yes	—
82	C₂⁴×#41	C₂³	1	1	yes	characteristic
83	C₂⁴×#41	C₂³	1	1	yes	characteristic
84	C₂⁴×#41	C₂³	1	1	yes	characteristic
85	C₂⁴×#41	C₂³	1	1	yes	characteristic
86	C₂⁵×D₄	C₂³	1	1	yes	characteristic
87	C₂×#3585	C₂×C₄	1	192	yes	complemented
88	C₂×#3585	C₂³	1	64	yes	—
89	C₂²×#577	C₂×C₄	1	96	yes	complemented
90	C₂²×#576	C₂×C₄	1	96	yes	complemented
91	C₂²×#575	C₂×C₄	1	12	yes	—
92	C₂²×#575	C₂×C₄	1	12	yes	complemented
93	C₂²×#575	D₄	1	12	yes	—
94	C₂²×#575	D₄	1	12	yes	—
95	C₂²×#575	C₂³	1	12	yes	—
96	C₂²×#575	C₂³	1	12	yes	—
97	C₂³×#137	C₂×C₄	1	2	yes	complemented
98	C₂³×#137	D₄	1	2	yes	—
99	C₂³×#137	D₄	1	2	yes	—
100	C₂³×AGL(1,ℤ/8)	C₂×C₄	1	4	yes	—
101	C₂³×AGL(1,ℤ/8)	C₂×C₄	1	12	yes	—
102	C₂³×AGL(1,ℤ/8)	C₂×C₄	1	2	yes	complemented
103	C₂³×AGL(1,ℤ/8)	C₂×C₄	1	12	yes	complemented
104	C₂³×AGL(1,ℤ/8)	D₄	1	4	yes	—
105	C₂³×AGL(1,ℤ/8)	D₄	1	12	yes	—
106	C₂³×AGL(1,ℤ/8)	D₄	1	4	yes	—
107	C₂³×AGL(1,ℤ/8)	D₄	1	12	yes	—
108	C₂³×AGL(1,ℤ/8)	D₄	1	2	yes	—
109	C₂³×AGL(1,ℤ/8)	D₄	1	2	yes	—
110	C₂³×AGL(1,ℤ/8)	C₂³	1	12	yes	—
111	C₂³×AGL(1,ℤ/8)	C₂³	1	12	yes	—
112	C₂³×#135	C₂×C₄	1	4	yes	—
113	C₂⁴×SD₁₆	C₂×C₄	1	2	yes	complemented
114	C₂⁴×D₈	C₂×C₄	1	2	yes	complemented
115	C₂²×#568	C₂×C₄	1	12	yes	complemented
116	C₂²×#568	C₂³	1	12	yes	—
117	C₂²×#568	C₂³	1	12	yes	complemented
118	C₂³×#131	C₂×C₄	1	4	yes	complemented
119	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
120	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
121	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
122	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
123	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
124	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
125	C₂×#3428	C₂³	1	12	yes	complemented
126	C₂³×#117	C₂³	1	1	yes	characteristic
127	C₂³×#117	C₂³	1	1	yes	characteristic
128	C₂³×#117	C₂³	1	1	yes	characteristic
129	C₂³×#117	C₂³	1	1	yes	characteristic
130	#60093	C₂³	1	64	yes	complemented
131	C₂²×#421	D₄	1	4	yes	—
132	C₂²×#421	D₄	1	12	yes	—
133	C₂²×#421	D₄	1	12	yes	—
134	C₂²×#421	C₂³	1	12	yes	—
135	C₂²×#421	C₂³	1	12	yes	—
136	C₂²×#421	C₂³	1	12	yes	—
137	C₂²×#421	C₂³	1	12	yes	complemented
138	C₂²×#421	C₂³	1	12	yes	complemented
139	C₂²×#421	C₂³	1	12	yes	complemented
140	C₂²×#421	C₂³	1	12	yes	complemented
141	C₂³×#104	D₄	1	4	yes	—
142	C₂×#2896	C₂³	1	12	yes	—
143	C₂×#2896	C₂³	1	12	yes	complemented
144	C₂×#2896	C₂³	1	12	yes	complemented
145	C₂²×#418	C₂³	1	12	yes	complemented
146	C₂²×#418	C₂³	1	12	yes	complemented
147	C₂²×#413	C₂³	1	12	yes	complemented
148	C₂³×#100	C₂³	1	12	yes	complemented
149	C₂²×#410	C₂³	1	12	yes	complemented
150	C₂²×#410	C₂³	1	12	yes	complemented
151	C₂×#2879	C₂³	1	12	yes	complemented
152	C₂×#2309	C₂³	1	12	yes	complemented
153	#21005	C₂³	1	64	yes	complemented
154	#20998	C₂³	1	64	yes	complemented
155	#20995	C₂³	1	64	yes	complemented
156	#20945	C₂³	1	64	yes	complemented
157	C₂×#1795	C₂³	1	64	yes	complemented
158	#20620	C₂³	1	64	yes	complemented
159	#20616	C₂³	1	64	yes	complemented
160	C₂²×#344	C₂³	1	12	yes	complemented
161	C₂²×#344	C₂³	1	12	yes	complemented
162	C₂×#1742	C₂³	1	12	yes	complemented
163	C₂×#1742	C₂³	1	12	yes	complemented
164	C₂×#1738	C₂³	1	12	yes	complemented
165	C₂×#1733	C₂³	1	12	yes	complemented
166	C₂²×#338	C₂³	1	12	yes	complemented
167	C₂²×H(3,ℤ/4)	C₂³	1	12	yes	complemented
168	#11033	C₂³	1	64	yes	complemented
169	#11032	C₂³	1	64	yes	complemented
170	#11014	C₂³	1	64	yes	complemented
171	#11012	C₂³	1	64	yes	complemented
172	#10794	C₂³	1	64	yes	complemented
173	#10778	C₂³	1	64	yes	complemented
174	C₂×#585	C₂²⋊C₄	1	48	yes	complemented
175	C₂×#585	C₂²⋊C₄	1	48	yes	complemented
176	C₂×#585	C₂²⋊C₄	1	96	yes	complemented
177	C₂×#585	C₂²×C₄	1	48	yes	—
178	C₂×#585	C₂×D₄	1	48	yes	—
179	C₂×#585	C₂×D₄	1	48	yes	—
180	C₂×#585	C₂×D₄	1	48	yes	—
181	C₂×#585	C₂×D₄	1	48	yes	—
182	C₂×#585	C₂⁴	1	16	yes	—
183	C₂²×2₋¹⁺⁴	C₂²⋊C₄	1	8	yes	complemented
184	C₂²×2₋¹⁺⁴	C₂²⋊C₄	1	24	yes	complemented
185	C₂²×2₋¹⁺⁴	C₂²×C₄	1	24	yes	—
186	C₂²×H(5,𝔽₂)	C₂²⋊C₄	1	8	yes	complemented
187	C₂²×H(5,𝔽₂)	C₂²⋊C₄	1	24	yes	complemented
188	C₂²×H(5,𝔽₂)	C₂²×C₄	1	24	yes	—
189	C₂²×H(5,𝔽₂)	C₂²×C₄	1	48	yes	complemented
190	C₂²×H(5,𝔽₂)	C₂²×C₄	1	48	yes	complemented
191	C₂²×H(5,𝔽₂)	C₂⁴	1	16	yes	—
192	C₂³×#41	C₂²×C₄	1	2	yes	—
193	C₂³×#41	C₂²×C₄	1	6	yes	—
194	C₂³×#41	C₂²×C₄	1	2	yes	—
195	C₂³×#41	C₂²×C₄	1	6	yes	—
196	C₂³×#41	C₂²×C₄	1	2	yes	—
197	C₂³×#41	C₂²×C₄	1	6	yes	—
198	C₂³×#41	C₂²×C₄	1	6	yes	—
199	C₂³×#41	C₂×D₄	1	2	yes	—
200	C₂³×#41	C₂×D₄	1	2	yes	—
201	C₂³×#41	C₂×D₄	1	6	yes	—
202	C₂³×#41	C₂×D₄	1	2	yes	—
203	C₂³×#41	C₂×D₄	1	6	yes	—
204	C₂³×#41	C₂×D₄	1	6	yes	—
205	C₂³×#41	C₂×D₄	1	2	yes	—
206	C₂³×#41	C₂×D₄	1	6	yes	—
207	C₂³×#41	C₂×D₄	1	2	yes	—
208	C₂³×#41	C₂×D₄	1	6	yes	—
209	C₂³×#41	C₂×D₄	1	2	yes	—
210	C₂³×#41	C₂×D₄	1	2	yes	—
211	C₂³×#41	C₂×D₄	1	6	yes	—
212	C₂³×#41	C₂×D₄	1	6	yes	—
213	C₂³×#41	C₂×D₄	1	2	yes	—
214	C₂³×#41	C₂×D₄	1	6	yes	—
215	C₂³×#41	C₂×D₄	1	2	yes	—
216	C₂³×#41	C₂×D₄	1	6	yes	—
217	C₂³×#41	C₂×D₄	1	2	yes	—
218	C₂³×#41	C₂×D₄	1	6	yes	—
219	C₂³×#41	C₂×D₄	1	2	yes	—
220	C₂³×#41	C₂×D₄	1	6	yes	—
221	C₂³×#41	C₂×D₄	1	2	yes	—
222	C₂³×#41	C₂×D₄	1	6	yes	—
223	C₂³×#41	C₂×D₄	1	6	yes	—
224	C₂³×#41	C₂×D₄	1	6	yes	—
225	C₂³×#41	#41	1	2	yes	—
226	C₂³×#41	#41	1	6	yes	—
227	C₂³×#41	#41	1	6	yes	—
228	C₂³×#41	C₂⁴	1	6	yes	—
229	C₂³×#41	C₂⁴	1	6	yes	—
230	C₂³×#41	C₂⁴	1	6	yes	—
231	C₂³×#41	C₂⁴	1	6	yes	—
232	C₂⁴×Q₈	C₂²×C₄	1	1	yes	characteristic
233	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
234	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
235	C₂⁴×Q₈	#41	1	1	yes	characteristic
236	C₂⁴×D₄	C₂²×C₄	1	1	yes	characteristic
237	C₂⁴×D₄	C₂²×C₄	1	2	yes	—
238	C₂⁴×D₄	C₂²×C₄	1	6	yes	—
239	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
240	C₂⁴×D₄	C₂×D₄	1	2	yes	—
241	C₂⁴×D₄	C₂×D₄	1	6	yes	—
242	C₂⁴×D₄	C₂×D₄	1	2	yes	—
243	C₂⁴×D₄	C₂×D₄	1	6	yes	—
244	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
245	C₂⁴×D₄	#41	1	1	yes	characteristic
246	C₂⁴×D₄	C₂⁴	1	6	yes	—
247	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
248	C₂×#577	C₂²×C₄	1	256	yes	complemented
249	C₂×#576	C₂²×C₄	1	256	yes	complemented
250	C₂×#575	C₂²⋊C₄	1	96	yes	complemented
251	C₂×#575	C₂²×C₄	1	48	yes	—
252	C₂×#575	C₂²×C₄	1	48	yes	complemented
253	C₂×#575	C₂×D₄	1	48	yes	—
254	C₂×#575	C₂×D₄	1	48	yes	—
255	C₂×#575	C₂⁴	1	16	yes	—
256	C₂×#575	C₂⁴	1	16	yes	—
257	C₂²×#137	C₂²⋊C₄	1	24	yes	complemented
258	C₂²×#137	C₂²⋊C₄	1	24	yes	complemented
259	C₂²×#137	C₂²×C₄	1	24	yes	complemented
260	C₂²×#137	C₂×D₄	1	24	yes	—
261	C₂²×#137	C₂×D₄	1	24	yes	—
262	C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	1	16	yes	—
263	C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	1	48	yes	—
264	C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	1	48	yes	—
265	C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	1	48	yes	—
266	C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	1	96	yes	—
267	C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	1	24	yes	complemented
268	C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	1	24	yes	complemented
269	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	48	yes	—
270	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	48	yes	—
271	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	24	yes	complemented
272	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	48	yes	complemented
273	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	48	yes	—
274	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	48	yes	—
275	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	48	yes	—
276	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	48	yes	—
277	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	24	yes	—
278	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	24	yes	—
279	C₂²×AGL(1,ℤ/8)	C₂⁴	1	16	yes	—
280	C₂²×AGL(1,ℤ/8)	C₂⁴	1	16	yes	—
281	C₂²×#135	C₂²⋊C₄	1	48	yes	complemented
282	C₂²×#135	C₂²×C₄	1	48	yes	—
283	C₂³×Q₁₆	C₂²⋊C₄	1	4	yes	complemented
284	C₂³×SD₁₆	C₂²⋊C₄	1	4	yes	complemented
285	C₂³×SD₁₆	C₂²⋊C₄	1	4	yes	complemented
286	C₂³×SD₁₆	C₂²×C₄	1	24	yes	complemented
287	C₂³×D₈	C₂²⋊C₄	1	4	yes	complemented
288	C₂³×D₈	C₂²×C₄	1	24	yes	complemented
289	C₂×#568	C₂²×C₄	1	48	yes	complemented
290	C₂×#568	C₂⁴	1	16	yes	—
291	C₂×#568	C₂⁴	1	16	yes	complemented
292	C₂²×#131	C₂²×C₄	1	48	yes	complemented
293	C₂³×M₁₆	C₂²×C₄	1	2	yes	—
294	C₂³×M₁₆	C₂²×C₄	1	6	yes	—
295	C₂³×M₁₆	C₂²×C₄	1	6	yes	—
296	C₂³×M₁₆	C₂×D₄	1	2	yes	—
297	C₂³×M₁₆	C₂×D₄	1	2	yes	—
298	C₂³×M₁₆	C₂×D₄	1	6	yes	—
299	C₂³×M₁₆	C₂×D₄	1	6	yes	—
300	C₂³×M₁₆	C₂×D₄	1	2	yes	—
301	C₂³×M₁₆	C₂×D₄	1	6	yes	—
302	C₂³×M₁₆	C₂×D₄	1	2	yes	—
303	C₂³×M₁₆	C₂×D₄	1	6	yes	—
304	C₂³×M₁₆	C₂×D₄	1	2	yes	—
305	C₂³×M₁₆	C₂×D₄	1	2	yes	—
306	C₂³×M₁₆	C₂×D₄	1	6	yes	—
307	C₂³×M₁₆	C₂×D₄	1	6	yes	—
308	C₂³×M₁₆	C₂⁴	1	6	yes	—
309	C₂³×M₁₆	C₂⁴	1	6	yes	—
310	C₂³×M₁₆	C₂⁴	1	6	yes	—
311	C₂³×M₁₆	C₂⁴	1	6	yes	—
312	C₂³×M₁₆	C₂⁴	1	6	yes	—
313	C₂³×M₁₆	C₂⁴	1	6	yes	—
314	C₂⁴×C₈	C₂²×C₄	1	2	yes	—
315	#3428	C₂⁴	1	16	yes	complemented
316	C₂²×#117	C₂×D₄	1	6	yes	—
317	C₂²×#117	C₂×D₄	1	2	yes	—
318	C₂²×#117	C₂×D₄	1	6	yes	—
319	C₂²×#117	C₂⁴	1	6	yes	—
320	C₂²×#117	C₂⁴	1	6	yes	—
321	C₂²×#117	C₂⁴	1	6	yes	—
322	C₂²×#117	C₂⁴	1	6	yes	—
323	C₂³×C₄²	C₂×D₄	1	2	yes	—
324	C₂×#421	C₂×D₄	1	48	yes	—
325	C₂×#421	C₂×D₄	1	48	yes	—
326	C₂×#421	C₂×D₄	1	48	yes	—
327	C₂×#421	C₂⁴	1	16	yes	—
328	C₂×#421	C₂⁴	1	16	yes	—
329	C₂×#421	C₂⁴	1	16	yes	—
330	C₂×#421	C₂⁴	1	16	yes	complemented
331	C₂×#421	C₂⁴	1	16	yes	complemented
332	C₂×#421	C₂⁴	1	16	yes	complemented
333	C₂×#421	C₂⁴	1	16	yes	complemented
334	C₂²×#104	C₂×D₄	1	48	yes	—
335	#2896	C₂⁴	1	16	yes	—
336	#2896	C₂⁴	1	16	yes	complemented
337	#2896	C₂⁴	1	16	yes	complemented
338	C₂×#418	C₂⁴	1	16	yes	complemented
339	C₂×#418	C₂⁴	1	16	yes	complemented
340	C₂×#413	C₂⁴	1	16	yes	complemented
341	C₂²×#100	C₂⁴	1	16	yes	complemented
342	C₂×#410	C₂⁴	1	16	yes	complemented
343	C₂×#410	C₂⁴	1	16	yes	complemented
344	#2879	C₂⁴	1	16	yes	complemented
345	#2309	C₂⁴	1	16	yes	complemented
346	C₂×#344	C₂⁴	1	16	yes	complemented
347	C₂×#344	C₂⁴	1	16	yes	complemented
348	#1742	C₂⁴	1	16	yes	complemented
349	#1742	C₂⁴	1	16	yes	complemented
350	#1738	C₂⁴	1	16	yes	complemented
351	#1733	C₂⁴	1	16	yes	complemented
352	C₂×#338	C₂⁴	1	16	yes	complemented
353	C₂×H(3,ℤ/4)	C₂⁴	1	16	yes	complemented
354	C₂⁶	H(5,𝔽₂)	1	1	yes	characteristic
355	#585	C₂×C₂²⋊C₄	1	192	yes	complemented
356	#585	C₂×C₂²⋊C₄	1	192	yes	complemented
357	#585	C₂²×D₄	1	64	yes	—
358	#585	C₂²×D₄	1	64	yes	—
359	C₂×2₋¹⁺⁴	C₂×C₂²⋊C₄	1	96	yes	complemented
360	C₂×2₋¹⁺⁴	C₂×C₂²⋊C₄	1	96	yes	complemented
361	C₂×2₋¹⁺⁴	C₂³×C₄	1	32	yes	—
362	C₂×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	96	yes	complemented
363	C₂×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	96	yes	complemented
364	C₂×H(5,𝔽₂)	C₂³×C₄	1	32	yes	—
365	C₂×H(5,𝔽₂)	C₂³×C₄	1	64	yes	complemented
366	C₂²×#41	C₂×C₂²⋊C₄	1	12	yes	—
367	C₂²×#41	C₂×C₂²⋊C₄	1	12	yes	—
368	C₂²×#41	C₂×C₂²⋊C₄	1	24	yes	—
369	C₂²×#41	C₂×C₂²⋊C₄	1	12	yes	—
370	C₂²×#41	C₂×C₂²⋊C₄	1	12	yes	—
371	C₂²×#41	C₂×C₂²⋊C₄	1	24	yes	—
372	C₂²×#41	C₂×C₂²⋊C₄	1	12	yes	—
373	C₂²×#41	C₂×C₂²⋊C₄	1	12	yes	—
374	C₂²×#41	C₂×C₂²⋊C₄	1	24	yes	—
375	C₂²×#41	C₂×C₂²⋊C₄	1	4	yes	—
376	C₂²×#41	C₂×C₂²⋊C₄	1	12	yes	—
377	C₂²×#41	C₂×C₂²⋊C₄	1	4	yes	—
378	C₂²×#41	C₂×C₂²⋊C₄	1	12	yes	—
379	C₂²×#41	C₂×C₂²⋊C₄	1	12	yes	—
380	C₂²×#41	C₂×C₂²⋊C₄	1	12	yes	—
381	C₂²×#41	C₂×C₂²⋊C₄	1	24	yes	—
382	C₂²×#41	C₂×C₂²⋊C₄	1	12	yes	—
383	C₂²×#41	C₂×C₂²⋊C₄	1	12	yes	—
384	C₂²×#41	C₂×C₂²⋊C₄	1	24	yes	—
385	C₂²×#41	C₂×C₂²⋊C₄	1	4	yes	—
386	C₂²×#41	C₂×C₂²⋊C₄	1	12	yes	—
387	C₂²×#41	C₂×C₂²⋊C₄	1	12	yes	—
388	C₂²×#41	C₂×C₂²⋊C₄	1	12	yes	—
389	C₂²×#41	C₂×C₂²⋊C₄	1	24	yes	—
390	C₂²×#41	C₄×D₄	1	12	yes	—
391	C₂²×#41	C₄×D₄	1	12	yes	—
392	C₂²×#41	C₄×D₄	1	24	yes	—
393	C₂²×#41	C₄×D₄	1	4	yes	—
394	C₂²×#41	C₄×D₄	1	12	yes	—
395	C₂²×#41	C₄×D₄	1	12	yes	—
396	C₂²×#41	C₄×D₄	1	12	yes	—
397	C₂²×#41	C₄×D₄	1	24	yes	—
398	C₂²×#41	#120	1	12	yes	—
399	C₂²×#41	#120	1	12	yes	—
400	C₂²×#41	#120	1	24	yes	—
401	C₂²×#41	#120	1	12	yes	—
402	C₂²×#41	#120	1	12	yes	—
403	C₂²×#41	#120	1	24	yes	—
404	C₂²×#41	#120	1	4	yes	—
405	C₂²×#41	#120	1	12	yes	—
406	C₂²×#41	#120	1	4	yes	—
407	C₂²×#41	#120	1	12	yes	—
408	C₂²×#41	#120	1	12	yes	—
409	C₂²×#41	#120	1	12	yes	—
410	C₂²×#41	#120	1	24	yes	—
411	C₂²×#41	#120	1	12	yes	—
412	C₂²×#41	#120	1	12	yes	—
413	C₂²×#41	#120	1	24	yes	—
414	C₂²×#41	#120	1	4	yes	—
415	C₂²×#41	#120	1	12	yes	—
416	C₂²×#41	#120	1	12	yes	—
417	C₂²×#41	#120	1	12	yes	—
418	C₂²×#41	#120	1	24	yes	—
419	C₂²×#41	#121	1	12	yes	—
420	C₂²×#41	#121	1	12	yes	—
421	C₂²×#41	#121	1	24	yes	—
422	C₂²×#41	#121	1	4	yes	—
423	C₂²×#41	#121	1	12	yes	—
424	C₂²×#41	#121	1	12	yes	—
425	C₂²×#41	#121	1	12	yes	—
426	C₂²×#41	#121	1	24	yes	—
427	C₂²×#41	#123	1	12	yes	—
428	C₂²×#41	#123	1	12	yes	—
429	C₂²×#41	#123	1	24	yes	—
430	C₂²×#41	C₂³×C₄	1	12	yes	—
431	C₂²×#41	C₂³×C₄	1	12	yes	—
432	C₂²×#41	C₂³×C₄	1	12	yes	—
433	C₂²×#41	C₂³×C₄	1	12	yes	—
434	C₂²×#41	C₂³×C₄	1	12	yes	—
435	C₂²×#41	C₂³×C₄	1	12	yes	—
436	C₂²×#41	C₂³×C₄	1	12	yes	—
437	C₂²×#41	C₂²×D₄	1	12	yes	—
438	C₂²×#41	C₂²×D₄	1	12	yes	—
439	C₂²×#41	C₂²×D₄	1	12	yes	—
440	C₂²×#41	C₂²×D₄	1	12	yes	—
441	C₂²×#41	C₂²×D₄	1	12	yes	—
442	C₂²×#41	C₂²×D₄	1	12	yes	—
443	C₂²×#41	C₂²×D₄	1	12	yes	—
444	C₂²×#41	C₂²×D₄	1	12	yes	—
445	C₂²×#41	C₂²×D₄	1	12	yes	—
446	C₂²×#41	C₂²×D₄	1	12	yes	—
447	C₂²×#41	C₂²×D₄	1	12	yes	—
448	C₂²×#41	C₂²×D₄	1	12	yes	—
449	C₂²×#41	C₂²×D₄	1	12	yes	—
450	C₂²×#41	C₂²×D₄	1	12	yes	—
451	C₂²×#41	C₂²×D₄	1	12	yes	—
452	C₂²×#41	C₂²×D₄	1	12	yes	—
453	C₂²×#41	C₂²×D₄	1	12	yes	—
454	C₂²×#41	C₂²×D₄	1	12	yes	—
455	C₂²×#41	C₂²×D₄	1	12	yes	—
456	C₂²×#41	C₂²×D₄	1	12	yes	—
457	C₂²×#41	C₂²×D₄	1	12	yes	—
458	C₂²×#41	C₂²×D₄	1	12	yes	—
459	C₂²×#41	C₂²×D₄	1	12	yes	—
460	C₂²×#41	C₂²×D₄	1	12	yes	—
461	C₂²×#41	C₂²×D₄	1	12	yes	—
462	C₂²×#41	C₂²×D₄	1	12	yes	—
463	C₂²×#41	C₂×#41	1	12	yes	—
464	C₂²×#41	C₂×#41	1	12	yes	—
465	C₂²×#41	C₂×#41	1	12	yes	—
466	C₂²×#41	C₂⁵	1	4	yes	—
467	C₂²×#41	C₂⁵	1	4	yes	—
468	C₂²×#41	C₂⁵	1	4	yes	—
469	C₂²×#41	C₂⁵	1	4	yes	—
470	C₂³×Q₈	C₂×C₂²⋊C₄	1	2	yes	—
471	C₂³×Q₈	C₂×C₂²⋊C₄	1	6	yes	—
472	C₂³×Q₈	C₂×C₂²⋊C₄	1	2	yes	—
473	C₂³×Q₈	C₂×C₂²⋊C₄	1	6	yes	—
474	C₂³×Q₈	C₂×C₂²⋊C₄	1	2	yes	—
475	C₂³×Q₈	C₂×C₂²⋊C₄	1	6	yes	—
476	C₂³×Q₈	C₄×D₄	1	2	yes	—
477	C₂³×Q₈	C₄×D₄	1	6	yes	—
478	C₂³×Q₈	#120	1	2	yes	—
479	C₂³×Q₈	#120	1	6	yes	—
480	C₂³×Q₈	#120	1	2	yes	—
481	C₂³×Q₈	#120	1	6	yes	—
482	C₂³×Q₈	#121	1	2	yes	—
483	C₂³×Q₈	#121	1	6	yes	—
484	C₂³×Q₈	#123	1	2	yes	—
485	C₂³×Q₈	#123	1	6	yes	—
486	C₂³×Q₈	C₂³×C₄	1	6	yes	—
487	C₂³×Q₈	C₂²×D₄	1	6	yes	—
488	C₂³×Q₈	C₂²×D₄	1	6	yes	—
489	C₂³×Q₈	C₂×#41	1	6	yes	—
490	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
491	C₂³×D₄	C₂×C₂²⋊C₄	1	6	yes	—
492	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
493	C₂³×D₄	C₂×C₂²⋊C₄	1	12	yes	—
494	C₂³×D₄	C₂×C₂²⋊C₄	1	12	yes	—
495	C₂³×D₄	C₂×C₂²⋊C₄	1	12	yes	—
496	C₂³×D₄	C₂×C₂²⋊C₄	1	24	yes	—
497	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
498	C₂³×D₄	C₂×C₂²⋊C₄	1	6	yes	—
499	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
500	C₂³×D₄	C₂×C₂²⋊C₄	1	6	yes	—
501	C₂³×D₄	C₄×D₄	1	2	yes	—
502	C₂³×D₄	C₄×D₄	1	6	yes	—
503	C₂³×D₄	#120	1	2	yes	—
504	C₂³×D₄	#120	1	6	yes	—
505	C₂³×D₄	#120	1	2	yes	—
506	C₂³×D₄	#120	1	6	yes	—
507	C₂³×D₄	#121	1	2	yes	—
508	C₂³×D₄	#121	1	6	yes	—
509	C₂³×D₄	#123	1	2	yes	—
510	C₂³×D₄	#123	1	6	yes	—
511	C₂³×D₄	C₂³×C₄	1	12	yes	—
512	C₂³×D₄	C₂³×C₄	1	12	yes	—
513	C₂³×D₄	C₂³×C₄	1	6	yes	—
514	C₂³×D₄	C₂²×D₄	1	6	yes	—
515	C₂³×D₄	C₂²×D₄	1	12	yes	—
516	C₂³×D₄	C₂²×D₄	1	12	yes	—
517	C₂³×D₄	C₂²×D₄	1	12	yes	—
518	C₂³×D₄	C₂²×D₄	1	12	yes	—
519	C₂³×D₄	C₂²×D₄	1	6	yes	—
520	C₂³×D₄	C₂×#41	1	6	yes	—
521	C₂³×D₄	C₂⁵	1	4	yes	—
522	C₂⁴×C₄	C₂³×C₄	1	1	yes	characteristic
523	C₂⁴×C₄	C₂³×C₄	1	3	yes	—
524	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
525	C₂⁴×C₄	C₂²×D₄	1	3	yes	—
526	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
527	C₂⁴×C₄	C₂²×D₄	1	3	yes	—
528	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
529	C₂⁴×C₄	C₂²×D₄	1	3	yes	—
530	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
531	C₂⁴×C₄	C₂²×D₄	1	3	yes	—
532	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
533	C₂⁴×C₄	C₂²×D₄	1	3	yes	—
534	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
535	C₂⁴×C₄	C₂²×D₄	1	3	yes	—
536	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
537	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
538	C₂⁴×C₄	C₂²×D₄	1	3	yes	—
539	C₂⁴×C₄	C₂²×D₄	1	3	yes	—
540	C₂⁴×C₄	C₂×#41	1	1	yes	characteristic
541	C₂⁴×C₄	C₂×#41	1	1	yes	characteristic
542	C₂⁴×C₄	C₂×#41	1	3	yes	—
543	C₂⁴×C₄	C₂×#41	1	3	yes	—
544	C₂⁴×C₄	H(5,𝔽₂)	1	3	yes	—
545	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
546	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
547	C₂⁴×C₄	H(5,𝔽₂)	1	3	yes	—
548	C₂⁴×C₄	H(5,𝔽₂)	1	3	yes	—
549	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
550	C₂⁴×C₄	H(5,𝔽₂)	1	3	yes	—
551	C₂⁴×C₄	C₂⁵	1	3	yes	—
552	C₂×#137	C₂×C₂²⋊C₄	1	96	yes	complemented
553	C₂×#137	C₂×C₂²⋊C₄	1	96	yes	complemented
554	C₂×#137	C₂³×C₄	1	32	yes	complemented
555	C₂×#137	C₂²×D₄	1	32	yes	—
556	C₂×#137	C₂²×D₄	1	32	yes	—
557	C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	1	192	yes	—
558	C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	1	192	yes	—
559	C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	1	192	yes	—
560	C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	1	192	yes	—
561	C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	1	96	yes	complemented
562	C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	1	96	yes	complemented
563	C₂×AGL(1,ℤ/8)	C₂³×C₄	1	64	yes	—
564	C₂×AGL(1,ℤ/8)	C₂³×C₄	1	32	yes	complemented
565	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	64	yes	—
566	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	64	yes	—
567	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	32	yes	—
568	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	32	yes	—
569	C₂×#135	C₂×C₂²⋊C₄	1	192	yes	complemented
570	C₂×#135	C₂³×C₄	1	64	yes	—
571	C₂²×Q₁₆	C₂×C₂²⋊C₄	1	48	yes	complemented
572	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	48	yes	complemented
573	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	48	yes	complemented
574	C₂²×SD₁₆	C₂³×C₄	1	32	yes	complemented
575	C₂²×D₈	C₂×C₂²⋊C₄	1	48	yes	complemented
576	C₂²×D₈	C₂³×C₄	1	32	yes	complemented
577	C₂×#131	C₂³×C₄	1	64	yes	complemented
578	C₂²×M₁₆	C₂×C₂²⋊C₄	1	4	yes	—
579	C₂²×M₁₆	C₂×C₂²⋊C₄	1	12	yes	—
580	C₂²×M₁₆	C₂×C₂²⋊C₄	1	12	yes	—
581	C₂²×M₁₆	C₂×C₂²⋊C₄	1	12	yes	—
582	C₂²×M₁₆	C₂×C₂²⋊C₄	1	24	yes	—
583	C₂²×M₁₆	C₂×C₂²⋊C₄	1	12	yes	—
584	C₂²×M₁₆	C₂×C₂²⋊C₄	1	12	yes	—
585	C₂²×M₁₆	C₂×C₂²⋊C₄	1	24	yes	—
586	C₂²×M₁₆	C₂³×C₄	1	12	yes	—
587	C₂²×M₁₆	C₂³×C₄	1	12	yes	—
588	C₂²×M₁₆	C₂³×C₄	1	12	yes	—
589	C₂²×M₁₆	C₂²×D₄	1	12	yes	—
590	C₂²×M₁₆	C₂²×D₄	1	12	yes	—
591	C₂²×M₁₆	C₂²×D₄	1	12	yes	—
592	C₂²×M₁₆	C₂²×D₄	1	12	yes	—
593	C₂²×M₁₆	C₂²×D₄	1	12	yes	—
594	C₂²×M₁₆	C₂²×D₄	1	12	yes	—
595	C₂²×M₁₆	C₂²×D₄	1	12	yes	—
596	C₂²×M₁₆	C₂²×D₄	1	12	yes	—
597	C₂²×M₁₆	C₂²×D₄	1	12	yes	—
598	C₂²×M₁₆	C₂²×D₄	1	12	yes	—
599	C₂²×M₁₆	C₂²×D₄	1	12	yes	—
600	C₂²×M₁₆	C₂²×D₄	1	12	yes	—
601	C₂²×M₁₆	C₂⁵	1	4	yes	—
602	C₂²×M₁₆	C₂⁵	1	4	yes	—
603	C₂²×M₁₆	C₂⁵	1	4	yes	—
604	C₂²×M₁₆	C₂⁵	1	4	yes	—
605	C₂²×M₁₆	C₂⁵	1	4	yes	—
606	C₂²×M₁₆	C₂⁵	1	4	yes	—
607	C₂³×C₈	C₂×C₂²⋊C₄	1	4	yes	—
608	C₂³×C₈	C₂×C₂²⋊C₄	1	12	yes	—
609	C₂³×C₈	C₂³×C₄	1	12	yes	—
610	C₂×#117	C₂²×D₄	1	12	yes	—
611	C₂×#117	C₂²×D₄	1	12	yes	—
612	C₂×#117	C₂²×D₄	1	12	yes	—
613	C₂×#117	C₂⁵	1	4	yes	—
614	C₂×#117	C₂⁵	1	4	yes	—
615	C₂×#117	C₂⁵	1	4	yes	—
616	C₂×#117	C₂⁵	1	4	yes	—
617	C₂²×C₄²	C₂²×D₄	1	12	yes	—
618	#421	C₂²×D₄	1	64	yes	—
619	C₂×#104	C₂²×D₄	1	64	yes	—
620	C₂⁵	#518	1	1	yes	characteristic
621	C₂⁵	#518	1	3	yes	—
622	C₂⁵	#534	1	1	yes	characteristic
623	C₂⁵	#534	1	1	yes	characteristic
624	C₂⁵	#534	1	3	yes	—
625	C₂⁵	#534	1	3	yes	—
626	C₂⁵	D₄²	1	1	yes	characteristic
627	C₂⁵	D₄²	1	1	yes	characteristic
628	C₂⁵	D₄²	1	3	yes	—
629	C₂⁵	D₄²	1	3	yes	—
630	C₂⁵	#546	1	1	yes	characteristic
631	C₂⁵	#546	1	1	yes	characteristic
632	C₂⁵	#546	1	3	yes	—
633	C₂⁵	#546	1	3	yes	—
634	C₂⁵	C₂×H(5,𝔽₂)	1	3	yes	—
635	2₋¹⁺⁴	C₂²×C₂²⋊C₄	1	128	yes	complemented
636	H(5,𝔽₂)	C₂²×C₂²⋊C₄	1	128	yes	complemented
637	C₂×#41	#379	1	24	yes	—
638	C₂×#41	#379	1	24	yes	—
639	C₂×#41	#379	1	48	yes	—
640	C₂×#41	#379	1	24	yes	—
641	C₂×#41	#379	1	24	yes	—
642	C₂×#41	#379	1	48	yes	—
643	C₂×#41	#379	1	48	yes	—
644	C₂×#41	#379	1	48	yes	—
645	C₂×#41	#379	1	48	yes	—
646	C₂×#41	#379	1	48	yes	—
647	C₂×#41	#386	1	24	yes	—
648	C₂×#41	#386	1	24	yes	—
649	C₂×#41	#386	1	48	yes	—
650	C₂×#41	#386	1	24	yes	—
651	C₂×#41	#386	1	24	yes	—
652	C₂×#41	#386	1	48	yes	—
653	C₂×#41	#386	1	48	yes	—
654	C₂×#41	#386	1	48	yes	—
655	C₂×#41	#386	1	48	yes	—
656	C₂×#41	#386	1	48	yes	—
657	C₂×#41	C₂²×C₂²⋊C₄	1	24	yes	—
658	C₂×#41	C₂²×C₂²⋊C₄	1	24	yes	—
659	C₂×#41	C₂²×C₂²⋊C₄	1	24	yes	—
660	C₂×#41	C₂²×C₂²⋊C₄	1	24	yes	—
661	C₂×#41	C₂²×C₂²⋊C₄	1	24	yes	—
662	C₂×#41	C₂²×C₂²⋊C₄	1	24	yes	—
663	C₂×#41	C₂²×C₂²⋊C₄	1	24	yes	—
664	C₂×#41	C₂²×C₂²⋊C₄	1	24	yes	—
665	C₂×#41	C₂²×C₂²⋊C₄	1	24	yes	—
666	C₂×#41	C₂²×C₂²⋊C₄	1	24	yes	—
667	C₂×#41	C₂²×C₂²⋊C₄	1	24	yes	—
668	C₂×#41	C₂²×C₂²⋊C₄	1	24	yes	—
669	C₂×#41	C₂²×C₂²⋊C₄	1	24	yes	—
670	C₂×#41	C₂²×C₂²⋊C₄	1	24	yes	—
671	C₂×#41	C₂²×C₂²⋊C₄	1	24	yes	—
672	C₂×#41	C₂²×C₂²⋊C₄	1	24	yes	—
673	C₂×#41	C₂²×C₂²⋊C₄	1	24	yes	—
674	C₂×#41	C₂²×C₂²⋊C₄	1	24	yes	—
675	C₂×#41	C₂×C₄×D₄	1	24	yes	—
676	C₂×#41	C₂×C₄×D₄	1	24	yes	—
677	C₂×#41	C₂×C₄×D₄	1	24	yes	—
678	C₂×#41	C₂×C₄×D₄	1	24	yes	—
679	C₂×#41	C₂×C₄×D₄	1	24	yes	—
680	C₂×#41	C₂×C₄×D₄	1	24	yes	—
681	C₂×#41	C₂×#120	1	24	yes	—
682	C₂×#41	C₂×#120	1	24	yes	—
683	C₂×#41	C₂×#120	1	24	yes	—
684	C₂×#41	C₂×#120	1	24	yes	—
685	C₂×#41	C₂×#120	1	24	yes	—
686	C₂×#41	C₂×#120	1	24	yes	—
687	C₂×#41	C₂×#120	1	24	yes	—
688	C₂×#41	C₂×#120	1	24	yes	—
689	C₂×#41	C₂×#120	1	24	yes	—
690	C₂×#41	C₂×#120	1	24	yes	—
691	C₂×#41	C₂×#120	1	24	yes	—
692	C₂×#41	C₂×#120	1	24	yes	—
693	C₂×#41	C₂×#120	1	24	yes	—
694	C₂×#41	C₂×#120	1	24	yes	—
695	C₂×#41	C₂×#120	1	24	yes	—
696	C₂×#41	C₂×#120	1	24	yes	—
697	C₂×#41	C₂×#121	1	24	yes	—
698	C₂×#41	C₂×#121	1	24	yes	—
699	C₂×#41	C₂×#121	1	24	yes	—
700	C₂×#41	C₂×#121	1	24	yes	—
701	C₂×#41	C₂×#121	1	24	yes	—
702	C₂×#41	C₂×#121	1	24	yes	—
703	C₂×#41	C₂×#123	1	24	yes	—
704	C₂×#41	C₂×#123	1	24	yes	—
705	C₂×#41	C₂⁴×C₄	1	8	yes	—
706	C₂×#41	C₂⁴×C₄	1	8	yes	—
707	C₂×#41	C₂⁴×C₄	1	8	yes	—
708	C₂×#41	C₂³×D₄	1	8	yes	—
709	C₂×#41	C₂³×D₄	1	8	yes	—
710	C₂×#41	C₂³×D₄	1	8	yes	—
711	C₂×#41	C₂³×D₄	1	8	yes	—
712	C₂×#41	C₂³×D₄	1	8	yes	—
713	C₂×#41	C₂³×D₄	1	8	yes	—
714	C₂×#41	C₂³×D₄	1	8	yes	—
715	C₂×#41	C₂³×D₄	1	8	yes	—
716	C₂×#41	C₂³×D₄	1	8	yes	—
717	C₂×#41	C₂³×D₄	1	8	yes	—
718	C₂×#41	C₂³×D₄	1	8	yes	—
719	C₂×#41	C₂³×D₄	1	8	yes	—
720	C₂×#41	C₂²×#41	1	8	yes	—
721	C₂²×Q₈	#379	1	12	yes	—
722	C₂²×Q₈	#379	1	4	yes	—
723	C₂²×Q₈	#379	1	12	yes	—
724	C₂²×Q₈	#379	1	12	yes	—
725	C₂²×Q₈	#379	1	24	yes	—
726	C₂²×Q₈	#386	1	12	yes	—
727	C₂²×Q₈	#386	1	4	yes	—
728	C₂²×Q₈	#386	1	12	yes	—
729	C₂²×Q₈	#386	1	12	yes	—
730	C₂²×Q₈	#386	1	24	yes	—
731	C₂²×Q₈	C₂²×C₂²⋊C₄	1	12	yes	—
732	C₂²×Q₈	C₂²×C₂²⋊C₄	1	12	yes	—
733	C₂²×Q₈	C₂²×C₂²⋊C₄	1	12	yes	—
734	C₂²×Q₈	C₂²×C₂²⋊C₄	1	12	yes	—
735	C₂²×Q₈	C₂²×C₂²⋊C₄	1	12	yes	—
736	C₂²×Q₈	C₂²×C₂²⋊C₄	1	12	yes	—
737	C₂²×Q₈	C₂×C₄×D₄	1	12	yes	—
738	C₂²×Q₈	C₂×C₄×D₄	1	12	yes	—
739	C₂²×Q₈	C₂×#120	1	12	yes	—
740	C₂²×Q₈	C₂×#120	1	12	yes	—
741	C₂²×Q₈	C₂×#120	1	12	yes	—
742	C₂²×Q₈	C₂×#120	1	12	yes	—
743	C₂²×Q₈	C₂×#121	1	12	yes	—
744	C₂²×Q₈	C₂×#121	1	12	yes	—
745	C₂²×Q₈	C₂×#123	1	12	yes	—
746	C₂²×Q₈	C₂×#123	1	12	yes	—
747	C₂²×Q₈	C₂⁴×C₄	1	4	yes	—
748	C₂²×Q₈	C₂³×D₄	1	4	yes	—
749	C₂²×Q₈	C₂³×D₄	1	4	yes	—
750	C₂²×Q₈	C₂²×#41	1	4	yes	—
751	C₂²×D₄	#379	1	12	yes	—
752	C₂²×D₄	#379	1	4	yes	—
753	C₂²×D₄	#379	1	12	yes	—
754	C₂²×D₄	#379	1	12	yes	—
755	C₂²×D₄	#379	1	24	yes	—
756	C₂²×D₄	#386	1	12	yes	—
757	C₂²×D₄	#386	1	4	yes	—
758	C₂²×D₄	#386	1	12	yes	—
759	C₂²×D₄	#386	1	12	yes	—
760	C₂²×D₄	#386	1	24	yes	—
761	C₂²×D₄	C₂²×C₂²⋊C₄	1	12	yes	—
762	C₂²×D₄	C₂²×C₂²⋊C₄	1	12	yes	—
763	C₂²×D₄	C₂²×C₂²⋊C₄	1	12	yes	—
764	C₂²×D₄	C₂²×C₂²⋊C₄	1	24	yes	—
765	C₂²×D₄	C₂²×C₂²⋊C₄	1	24	yes	—
766	C₂²×D₄	C₂²×C₂²⋊C₄	1	24	yes	—
767	C₂²×D₄	C₂²×C₂²⋊C₄	1	24	yes	—
768	C₂²×D₄	C₂²×C₂²⋊C₄	1	12	yes	—
769	C₂²×D₄	C₂²×C₂²⋊C₄	1	12	yes	—
770	C₂²×D₄	C₂²×C₂²⋊C₄	1	12	yes	—
771	C₂²×D₄	C₂×C₄×D₄	1	12	yes	—
772	C₂²×D₄	C₂×C₄×D₄	1	12	yes	—
773	C₂²×D₄	C₂×#120	1	12	yes	—
774	C₂²×D₄	C₂×#120	1	12	yes	—
775	C₂²×D₄	C₂×#120	1	12	yes	—
776	C₂²×D₄	C₂×#120	1	12	yes	—
777	C₂²×D₄	C₂×#121	1	12	yes	—
778	C₂²×D₄	C₂×#121	1	12	yes	—
779	C₂²×D₄	C₂×#123	1	12	yes	—
780	C₂²×D₄	C₂×#123	1	12	yes	—
781	C₂²×D₄	C₂⁴×C₄	1	4	yes	—
782	C₂²×D₄	C₂⁴×C₄	1	8	yes	—
783	C₂²×D₄	C₂³×D₄	1	4	yes	—
784	C₂²×D₄	C₂³×D₄	1	8	yes	—
785	C₂²×D₄	C₂³×D₄	1	8	yes	—
786	C₂²×D₄	C₂³×D₄	1	4	yes	—
787	C₂²×D₄	C₂²×#41	1	4	yes	—
788	C₂³×C₄	C₂²×C₂²⋊C₄	1	3	yes	—
789	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
790	C₂³×C₄	C₂²×C₂²⋊C₄	1	3	yes	—
791	C₂³×C₄	C₂²×C₂²⋊C₄	1	3	yes	—
792	C₂³×C₄	C₂²×C₂²⋊C₄	1	6	yes	—
793	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
794	C₂³×C₄	C₂²×C₂²⋊C₄	1	3	yes	—
795	C₂³×C₄	C₂²×C₂²⋊C₄	1	3	yes	—
796	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
797	C₂³×C₄	C₂²×C₂²⋊C₄	1	3	yes	—
798	C₂³×C₄	C₂²×C₂²⋊C₄	1	3	yes	—
799	C₂³×C₄	C₂²×C₂²⋊C₄	1	6	yes	—
800	C₂³×C₄	C₂²×C₂²⋊C₄	1	3	yes	—
801	C₂³×C₄	C₂²×C₂²⋊C₄	1	3	yes	—
802	C₂³×C₄	C₂²×C₂²⋊C₄	1	6	yes	—
803	C₂³×C₄	C₂×C₄×D₄	1	1	yes	characteristic
804	C₂³×C₄	C₂×C₄×D₄	1	3	yes	—
805	C₂³×C₄	C₂×C₄×D₄	1	3	yes	—
806	C₂³×C₄	C₂×C₄×D₄	1	3	yes	—
807	C₂³×C₄	C₂×C₄×D₄	1	3	yes	—
808	C₂³×C₄	C₂×C₄×D₄	1	1	yes	characteristic
809	C₂³×C₄	C₂×C₄×D₄	1	6	yes	—
810	C₂³×C₄	C₂×C₄×D₄	1	3	yes	—
811	C₂³×C₄	C₂×C₄×D₄	1	3	yes	—
812	C₂³×C₄	C₂×C₄×D₄	1	6	yes	—
813	C₂³×C₄	#518	1	3	yes	—
814	C₂³×C₄	#518	1	3	yes	—
815	C₂³×C₄	#518	1	6	yes	—
816	C₂³×C₄	#518	1	3	yes	—
817	C₂³×C₄	#518	1	1	yes	characteristic
818	C₂³×C₄	#518	1	3	yes	—
819	C₂³×C₄	#518	1	3	yes	—
820	C₂³×C₄	#518	1	6	yes	—
821	C₂³×C₄	C₂×#120	1	3	yes	—
822	C₂³×C₄	C₂×#120	1	6	yes	—
823	C₂³×C₄	C₂×#120	1	3	yes	—
824	C₂³×C₄	C₂×#120	1	3	yes	—
825	C₂³×C₄	C₂×#120	1	1	yes	characteristic
826	C₂³×C₄	C₂×#120	1	1	yes	characteristic
827	C₂³×C₄	C₂×#120	1	3	yes	—
828	C₂³×C₄	C₂×#120	1	3	yes	—
829	C₂³×C₄	C₂×#120	1	3	yes	—
830	C₂³×C₄	C₂×#120	1	6	yes	—
831	C₂³×C₄	C₂×#120	1	3	yes	—
832	C₂³×C₄	C₂×#120	1	1	yes	characteristic
833	C₂³×C₄	C₂×#120	1	3	yes	—
834	C₂³×C₄	C₂×#120	1	6	yes	—
835	C₂³×C₄	C₂×#120	1	3	yes	—
836	C₂³×C₄	C₂×#120	1	1	yes	characteristic
837	C₂³×C₄	C₂×#120	1	3	yes	—
838	C₂³×C₄	C₂×#120	1	3	yes	—
839	C₂³×C₄	C₂×#120	1	3	yes	—
840	C₂³×C₄	C₂×#120	1	3	yes	—
841	C₂³×C₄	C₂×#120	1	3	yes	—
842	C₂³×C₄	C₂×#120	1	6	yes	—
843	C₂³×C₄	C₂×#120	1	6	yes	—
844	C₂³×C₄	C₂×#120	1	1	yes	characteristic
845	C₂³×C₄	C₂×#120	1	3	yes	—
846	C₂³×C₄	C₂×#121	1	1	yes	characteristic
847	C₂³×C₄	C₂×#121	1	3	yes	—
848	C₂³×C₄	C₂×#121	1	3	yes	—
849	C₂³×C₄	C₂×#121	1	3	yes	—
850	C₂³×C₄	C₂×#121	1	3	yes	—
851	C₂³×C₄	C₂×#121	1	3	yes	—
852	C₂³×C₄	C₂×#121	1	6	yes	—
853	C₂³×C₄	C₂×#121	1	6	yes	—
854	C₂³×C₄	C₂×#121	1	1	yes	characteristic
855	C₂³×C₄	C₂×#121	1	3	yes	—
856	C₂³×C₄	C₂×#123	1	3	yes	—
857	C₂³×C₄	C₂×#123	1	1	yes	characteristic
858	C₂³×C₄	C₂×#123	1	3	yes	—
859	C₂³×C₄	C₂×#123	1	3	yes	—
860	C₂³×C₄	C₂×#123	1	6	yes	—
861	C₂³×C₄	#534	1	3	yes	—
862	C₂³×C₄	#534	1	6	yes	—
863	C₂³×C₄	#534	1	3	yes	—
864	C₂³×C₄	#534	1	3	yes	—
865	C₂³×C₄	#534	1	3	yes	—
866	C₂³×C₄	#534	1	6	yes	—
867	C₂³×C₄	#534	1	1	yes	characteristic
868	C₂³×C₄	#534	1	3	yes	—
869	C₂³×C₄	#534	1	3	yes	—
870	C₂³×C₄	#534	1	3	yes	—
871	C₂³×C₄	#534	1	6	yes	—
872	C₂³×C₄	#534	1	1	yes	characteristic
873	C₂³×C₄	#534	1	3	yes	—
874	C₂³×C₄	#534	1	3	yes	—
875	C₂³×C₄	#534	1	3	yes	—
876	C₂³×C₄	#534	1	6	yes	—
877	C₂³×C₄	D₄²	1	3	yes	—
878	C₂³×C₄	D₄²	1	3	yes	—
879	C₂³×C₄	D₄²	1	3	yes	—
880	C₂³×C₄	D₄²	1	6	yes	—
881	C₂³×C₄	D₄²	1	3	yes	—
882	C₂³×C₄	D₄²	1	6	yes	—
883	C₂³×C₄	D₄²	1	1	yes	characteristic
884	C₂³×C₄	D₄²	1	1	yes	characteristic
885	C₂³×C₄	D₄²	1	3	yes	—
886	C₂³×C₄	D₄²	1	3	yes	—
887	C₂³×C₄	D₄²	1	3	yes	—
888	C₂³×C₄	D₄²	1	3	yes	—
889	C₂³×C₄	D₄²	1	3	yes	—
890	C₂³×C₄	D₄²	1	3	yes	—
891	C₂³×C₄	D₄²	1	6	yes	—
892	C₂³×C₄	D₄²	1	6	yes	—
893	C₂³×C₄	D₄²	1	1	yes	characteristic
894	C₂³×C₄	D₄²	1	3	yes	—
895	C₂³×C₄	D₄²	1	3	yes	—
896	C₂³×C₄	D₄²	1	3	yes	—
897	C₂³×C₄	D₄²	1	1	yes	characteristic
898	C₂³×C₄	D₄²	1	3	yes	—
899	C₂³×C₄	D₄²	1	6	yes	—
900	C₂³×C₄	D₄²	1	3	yes	—
901	C₂³×C₄	D₄²	1	6	yes	—
902	C₂³×C₄	D₄²	1	3	yes	—
903	C₂³×C₄	D₄²	1	1	yes	characteristic
904	C₂³×C₄	D₄²	1	3	yes	—
905	C₂³×C₄	D₄²	1	1	yes	characteristic
906	C₂³×C₄	D₄²	1	3	yes	—
907	C₂³×C₄	D₄²	1	3	yes	—
908	C₂³×C₄	D₄²	1	3	yes	—
909	C₂³×C₄	D₄²	1	3	yes	—
910	C₂³×C₄	D₄²	1	3	yes	—
911	C₂³×C₄	D₄²	1	6	yes	—
912	C₂³×C₄	D₄²	1	6	yes	—
913	C₂³×C₄	#546	1	3	yes	—
914	C₂³×C₄	#546	1	3	yes	—
915	C₂³×C₄	#546	1	3	yes	—
916	C₂³×C₄	#546	1	6	yes	—
917	C₂³×C₄	#546	1	6	yes	—
918	C₂³×C₄	#546	1	3	yes	—
919	C₂³×C₄	#546	1	3	yes	—
920	C₂³×C₄	#546	1	3	yes	—
921	C₂³×C₄	#546	1	6	yes	—
922	C₂³×C₄	#546	1	3	yes	—
923	C₂³×C₄	#546	1	3	yes	—
924	C₂³×C₄	#546	1	6	yes	—
925	C₂³×C₄	#546	1	1	yes	characteristic
926	C₂³×C₄	#546	1	3	yes	—
927	C₂³×C₄	#546	1	1	yes	characteristic
928	C₂³×C₄	#546	1	3	yes	—
929	C₂³×C₄	#546	1	1	yes	characteristic
930	C₂³×C₄	#546	1	3	yes	—
931	C₂³×C₄	#546	1	3	yes	—
932	C₂³×C₄	#546	1	3	yes	—
933	C₂³×C₄	#546	1	1	yes	characteristic
934	C₂³×C₄	#546	1	3	yes	—
935	C₂³×C₄	#546	1	3	yes	—
936	C₂³×C₄	#546	1	6	yes	—
937	C₂³×C₄	#546	1	3	yes	—
938	C₂³×C₄	#546	1	6	yes	—
939	C₂³×C₄	#546	1	1	yes	characteristic
940	C₂³×C₄	#546	1	3	yes	—
941	C₂³×C₄	#546	1	3	yes	—
942	C₂³×C₄	#546	1	1	yes	characteristic
943	C₂³×C₄	#546	1	3	yes	—
944	C₂³×C₄	#546	1	3	yes	—
945	C₂³×C₄	#546	1	3	yes	—
946	C₂³×C₄	#546	1	6	yes	—
947	C₂³×C₄	#546	1	3	yes	—
948	C₂³×C₄	#546	1	6	yes	—
949	C₂³×C₄	C₂⁴×C₄	1	3	yes	—
950	C₂³×C₄	C₂⁴×C₄	1	3	yes	—
951	C₂³×C₄	C₂³×D₄	1	3	yes	—
952	C₂³×C₄	C₂³×D₄	1	3	yes	—
953	C₂³×C₄	C₂³×D₄	1	3	yes	—
954	C₂³×C₄	C₂³×D₄	1	3	yes	—
955	C₂³×C₄	C₂³×D₄	1	3	yes	—
956	C₂³×C₄	C₂³×D₄	1	3	yes	—
957	C₂³×C₄	C₂³×D₄	1	3	yes	—
958	C₂³×C₄	C₂³×D₄	1	3	yes	—
959	C₂³×C₄	C₂³×D₄	1	3	yes	—
960	C₂³×C₄	C₂³×D₄	1	3	yes	—
961	C₂³×C₄	C₂³×D₄	1	3	yes	—
962	C₂³×C₄	C₂³×D₄	1	3	yes	—
963	C₂³×C₄	C₂³×D₄	1	3	yes	—
964	C₂³×C₄	C₂³×D₄	1	3	yes	—
965	C₂³×C₄	C₂³×D₄	1	3	yes	—
966	C₂³×C₄	C₂³×D₄	1	3	yes	—
967	C₂³×C₄	C₂²×#41	1	3	yes	—
968	C₂³×C₄	C₂²×#41	1	3	yes	—
969	C₂³×C₄	C₂²×#41	1	3	yes	—
970	C₂³×C₄	C₂²×#41	1	3	yes	—
971	C₂³×C₄	C₂×H(5,𝔽₂)	1	3	yes	—
972	C₂³×C₄	C₂×H(5,𝔽₂)	1	3	yes	—
973	C₂³×C₄	C₂×H(5,𝔽₂)	1	3	yes	—
974	C₂³×C₄	C₂×H(5,𝔽₂)	1	3	yes	—
975	C₂³×C₄	C₂×H(5,𝔽₂)	1	3	yes	—
976	C₂³×C₄	C₂×H(5,𝔽₂)	1	3	yes	—
977	C₂³×C₄	C₂×H(5,𝔽₂)	1	3	yes	—
978	C₂³×C₄	C₂⁶	1	1	yes	characteristic
979	AGL(1,ℤ/8)	C₂²×C₂²⋊C₄	1	256	yes	—
980	C₂×Q₁₆	C₂²×C₂²⋊C₄	1	64	yes	complemented
981	C₂×SD₁₆	C₂²×C₂²⋊C₄	1	64	yes	complemented
982	C₂×SD₁₆	C₂²×C₂²⋊C₄	1	64	yes	complemented
983	C₂×D₈	C₂²×C₂²⋊C₄	1	64	yes	complemented
984	C₂×M₁₆	C₂²×C₂²⋊C₄	1	24	yes	—
985	C₂×M₁₆	C₂²×C₂²⋊C₄	1	24	yes	—
986	C₂×M₁₆	C₂²×C₂²⋊C₄	1	24	yes	—
987	C₂×M₁₆	C₂²×C₂²⋊C₄	1	24	yes	—
988	C₂×M₁₆	C₂²×C₂²⋊C₄	1	24	yes	—
989	C₂×M₁₆	C₂²×C₂²⋊C₄	1	24	yes	—
990	C₂×M₁₆	C₂⁴×C₄	1	8	yes	—
991	C₂×M₁₆	C₂³×D₄	1	8	yes	—
992	C₂×M₁₆	C₂³×D₄	1	8	yes	—
993	C₂×M₁₆	C₂³×D₄	1	8	yes	—
994	C₂×M₁₆	C₂³×D₄	1	8	yes	—
995	C₂×M₁₆	C₂³×D₄	1	8	yes	—
996	C₂×M₁₆	C₂³×D₄	1	8	yes	—
997	C₂²×C₈	C₂²×C₂²⋊C₄	1	24	yes	—
998	C₂²×C₈	C₂²×C₂²⋊C₄	1	24	yes	—
999	C₂²×C₈	C₂⁴×C₄	1	8	yes	—
1000	#117	C₂³×D₄	1	8	yes	—
1001	C₂×C₄²	C₂³×D₄	1	8	yes	—
1002	C₂⁴	#2308	1	1	yes	characteristic
1003	C₂⁴	#2308	1	3	yes	—
1004	C₂⁴	#2308	1	3	yes	—
1005	C₂⁴	#2308	1	3	yes	—
1006	C₂⁴	#2308	1	6	yes	—
1007	C₂⁴	D₄×C₂²⋊C₄	1	1	yes	characteristic
1008	C₂⁴	D₄×C₂²⋊C₄	1	1	yes	characteristic
1009	C₂⁴	D₄×C₂²⋊C₄	1	3	yes	—
1010	C₂⁴	D₄×C₂²⋊C₄	1	3	yes	—
1011	C₂⁴	D₄×C₂²⋊C₄	1	3	yes	—
1012	C₂⁴	D₄×C₂²⋊C₄	1	3	yes	—
1013	C₂⁴	D₄×C₂²⋊C₄	1	3	yes	—
1014	C₂⁴	D₄×C₂²⋊C₄	1	3	yes	—
1015	C₂⁴	D₄×C₂²⋊C₄	1	6	yes	—
1016	C₂⁴	D₄×C₂²⋊C₄	1	6	yes	—
1017	C₂⁴	#2403	1	1	yes	characteristic
1018	C₂⁴	#2403	1	3	yes	—
1019	C₂⁴	#2403	1	3	yes	—
1020	C₂⁴	#2403	1	3	yes	—
1021	C₂⁴	#2403	1	6	yes	—
1022	C₂⁴	#2405	1	1	yes	characteristic
1023	C₂⁴	#2405	1	3	yes	—
1024	C₂⁴	#2405	1	3	yes	—
1025	C₂⁴	#2405	1	3	yes	—
1026	C₂⁴	#2405	1	6	yes	—
1027	C₂⁴	#2410	1	1	yes	characteristic
1028	C₂⁴	#2410	1	1	yes	characteristic
1029	C₂⁴	#2410	1	3	yes	—
1030	C₂⁴	#2410	1	3	yes	—
1031	C₂⁴	#2410	1	3	yes	—
1032	C₂⁴	#2410	1	3	yes	—
1033	C₂⁴	#2410	1	3	yes	—
1034	C₂⁴	#2410	1	3	yes	—
1035	C₂⁴	#2410	1	6	yes	—
1036	C₂⁴	#2410	1	6	yes	—
1037	C₂⁴	C₂×#518	1	3	yes	—
1038	C₂⁴	C₂×#518	1	3	yes	—
1039	C₂⁴	C₂×#534	1	3	yes	—
1040	C₂⁴	C₂×#534	1	3	yes	—
1041	C₂⁴	C₂×#534	1	3	yes	—
1042	C₂⁴	C₂×#534	1	3	yes	—
1043	C₂⁴	C₂×D₄²	1	3	yes	—
1044	C₂⁴	C₂×D₄²	1	3	yes	—
1045	C₂⁴	C₂×D₄²	1	3	yes	—
1046	C₂⁴	C₂×D₄²	1	3	yes	—
1047	C₂⁴	C₂×#546	1	3	yes	—
1048	C₂⁴	C₂×#546	1	3	yes	—
1049	C₂⁴	C₂×#546	1	3	yes	—
1050	C₂⁴	C₂×#546	1	3	yes	—
1051	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1052	#41	C₂×#379	1	48	yes	—
1053	#41	C₂×#379	1	48	yes	—
1054	#41	C₂×#379	1	48	yes	—
1055	#41	C₂×#379	1	48	yes	—
1056	#41	C₂×#386	1	48	yes	—
1057	#41	C₂×#386	1	48	yes	—
1058	#41	C₂×#386	1	48	yes	—
1059	#41	C₂×#386	1	48	yes	—
1060	#41	C₂³×C₂²⋊C₄	1	16	yes	—
1061	#41	C₂³×C₂²⋊C₄	1	16	yes	—
1062	#41	C₂³×C₂²⋊C₄	1	16	yes	—
1063	#41	C₂²×C₄×D₄	1	16	yes	—
1064	#41	C₂²×#120	1	16	yes	—
1065	#41	C₂²×#120	1	16	yes	—
1066	#41	C₂²×#120	1	16	yes	—
1067	#41	C₂²×#121	1	16	yes	—
1068	C₂×Q₈	C₂×#379	1	24	yes	—
1069	C₂×Q₈	C₂×#379	1	24	yes	—
1070	C₂×Q₈	C₂×#379	1	24	yes	—
1071	C₂×Q₈	C₂×#379	1	24	yes	—
1072	C₂×Q₈	C₂×#386	1	24	yes	—
1073	C₂×Q₈	C₂×#386	1	24	yes	—
1074	C₂×Q₈	C₂×#386	1	24	yes	—
1075	C₂×Q₈	C₂×#386	1	24	yes	—
1076	C₂×Q₈	C₂³×C₂²⋊C₄	1	8	yes	—
1077	C₂×Q₈	C₂³×C₂²⋊C₄	1	8	yes	—
1078	C₂×Q₈	C₂³×C₂²⋊C₄	1	8	yes	—
1079	C₂×Q₈	C₂²×C₄×D₄	1	8	yes	—
1080	C₂×Q₈	C₂²×#120	1	8	yes	—
1081	C₂×Q₈	C₂²×#120	1	8	yes	—
1082	C₂×Q₈	C₂²×#121	1	8	yes	—
1083	C₂×Q₈	C₂²×#123	1	8	yes	—
1084	C₂×D₄	C₂×#379	1	24	yes	—
1085	C₂×D₄	C₂×#379	1	24	yes	—
1086	C₂×D₄	C₂×#379	1	24	yes	—
1087	C₂×D₄	C₂×#379	1	24	yes	—
1088	C₂×D₄	C₂×#386	1	24	yes	—
1089	C₂×D₄	C₂×#386	1	24	yes	—
1090	C₂×D₄	C₂×#386	1	24	yes	—
1091	C₂×D₄	C₂×#386	1	24	yes	—
1092	C₂×D₄	C₂³×C₂²⋊C₄	1	8	yes	—
1093	C₂×D₄	C₂³×C₂²⋊C₄	1	8	yes	—
1094	C₂×D₄	C₂³×C₂²⋊C₄	1	16	yes	—
1095	C₂×D₄	C₂³×C₂²⋊C₄	1	8	yes	—
1096	C₂×D₄	C₂²×C₄×D₄	1	8	yes	—
1097	C₂×D₄	C₂²×#120	1	8	yes	—
1098	C₂×D₄	C₂²×#120	1	8	yes	—
1099	C₂×D₄	C₂²×#121	1	8	yes	—
1100	C₂×D₄	C₂²×#123	1	8	yes	—
1101	C₂²×C₄	C₂×#379	1	3	yes	—
1102	C₂²×C₄	C₂×#379	1	3	yes	—
1103	C₂²×C₄	C₂×#379	1	3	yes	—
1104	C₂²×C₄	C₂×#379	1	6	yes	—
1105	C₂²×C₄	C₂×#379	1	3	yes	—
1106	C₂²×C₄	C₂×#379	1	3	yes	—
1107	C₂²×C₄	C₂×#379	1	6	yes	—
1108	C₂²×C₄	C₂×#379	1	3	yes	—
1109	C₂²×C₄	C₂×#379	1	3	yes	—
1110	C₂²×C₄	C₂×#379	1	6	yes	—
1111	C₂²×C₄	C₂×#379	1	6	yes	—
1112	C₂²×C₄	C₂×#379	1	6	yes	—
1113	C₂²×C₄	C₂×#379	1	6	yes	—
1114	C₂²×C₄	C₂×#379	1	6	yes	—
1115	C₂²×C₄	C₂×#379	1	1	yes	characteristic
1116	C₂²×C₄	C₂×#386	1	3	yes	—
1117	C₂²×C₄	C₂×#386	1	3	yes	—
1118	C₂²×C₄	C₂×#386	1	3	yes	—
1119	C₂²×C₄	C₂×#386	1	6	yes	—
1120	C₂²×C₄	C₂×#386	1	3	yes	—
1121	C₂²×C₄	C₂×#386	1	3	yes	—
1122	C₂²×C₄	C₂×#386	1	6	yes	—
1123	C₂²×C₄	C₂×#386	1	3	yes	—
1124	C₂²×C₄	C₂×#386	1	3	yes	—
1125	C₂²×C₄	C₂×#386	1	6	yes	—
1126	C₂²×C₄	C₂×#386	1	6	yes	—
1127	C₂²×C₄	C₂×#386	1	6	yes	—
1128	C₂²×C₄	C₂×#386	1	6	yes	—
1129	C₂²×C₄	C₂×#386	1	6	yes	—
1130	C₂²×C₄	C₂×#386	1	1	yes	characteristic
1131	C₂²×C₄	#2308	1	3	yes	—
1132	C₂²×C₄	#2308	1	3	yes	—
1133	C₂²×C₄	#2308	1	6	yes	—
1134	C₂²×C₄	#2308	1	3	yes	—
1135	C₂²×C₄	#2308	1	3	yes	—
1136	C₂²×C₄	#2308	1	6	yes	—
1137	C₂²×C₄	#2308	1	6	yes	—
1138	C₂²×C₄	#2308	1	6	yes	—
1139	C₂²×C₄	#2308	1	6	yes	—
1140	C₂²×C₄	#2308	1	6	yes	—
1141	C₂²×C₄	D₄×C₂²⋊C₄	1	3	yes	—
1142	C₂²×C₄	D₄×C₂²⋊C₄	1	3	yes	—
1143	C₂²×C₄	D₄×C₂²⋊C₄	1	3	yes	—
1144	C₂²×C₄	D₄×C₂²⋊C₄	1	3	yes	—
1145	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1146	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1147	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1148	C₂²×C₄	D₄×C₂²⋊C₄	1	3	yes	—
1149	C₂²×C₄	D₄×C₂²⋊C₄	1	3	yes	—
1150	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1151	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1152	C₂²×C₄	D₄×C₂²⋊C₄	1	3	yes	—
1153	C₂²×C₄	D₄×C₂²⋊C₄	1	3	yes	—
1154	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1155	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1156	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1157	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1158	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1159	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1160	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1161	C₂²×C₄	D₄×C₂²⋊C₄	1	3	yes	—
1162	C₂²×C₄	D₄×C₂²⋊C₄	1	3	yes	—
1163	C₂²×C₄	D₄×C₂²⋊C₄	1	3	yes	—
1164	C₂²×C₄	D₄×C₂²⋊C₄	1	3	yes	—
1165	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1166	C₂²×C₄	D₄×C₂²⋊C₄	1	3	yes	—
1167	C₂²×C₄	D₄×C₂²⋊C₄	1	3	yes	—
1168	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1169	C₂²×C₄	D₄×C₂²⋊C₄	1	3	yes	—
1170	C₂²×C₄	D₄×C₂²⋊C₄	1	3	yes	—
1171	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1172	C₂²×C₄	D₄×C₂²⋊C₄	1	3	yes	—
1173	C₂²×C₄	D₄×C₂²⋊C₄	1	3	yes	—
1174	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1175	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1176	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1177	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1178	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1179	C₂²×C₄	D₄×C₂²⋊C₄	1	3	yes	—
1180	C₂²×C₄	D₄×C₂²⋊C₄	1	3	yes	—
1181	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1182	C₂²×C₄	D₄×C₂²⋊C₄	1	3	yes	—
1183	C₂²×C₄	D₄×C₂²⋊C₄	1	3	yes	—
1184	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1185	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1186	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1187	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1188	C₂²×C₄	D₄×C₂²⋊C₄	1	6	yes	—
1189	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1190	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1191	C₂²×C₄	#2403	1	3	yes	—
1192	C₂²×C₄	#2403	1	3	yes	—
1193	C₂²×C₄	#2403	1	3	yes	—
1194	C₂²×C₄	#2403	1	6	yes	—
1195	C₂²×C₄	#2403	1	6	yes	—
1196	C₂²×C₄	#2403	1	3	yes	—
1197	C₂²×C₄	#2403	1	6	yes	—
1198	C₂²×C₄	#2403	1	6	yes	—
1199	C₂²×C₄	#2403	1	6	yes	—
1200	C₂²×C₄	#2403	1	6	yes	—
1201	C₂²×C₄	#2403	1	3	yes	—
1202	C₂²×C₄	#2403	1	3	yes	—
1203	C₂²×C₄	#2403	1	3	yes	—
1204	C₂²×C₄	#2403	1	3	yes	—
1205	C₂²×C₄	#2403	1	3	yes	—
1206	C₂²×C₄	#2403	1	6	yes	—
1207	C₂²×C₄	#2403	1	6	yes	—
1208	C₂²×C₄	#2403	1	3	yes	—
1209	C₂²×C₄	#2403	1	6	yes	—
1210	C₂²×C₄	#2403	1	3	yes	—
1211	C₂²×C₄	#2403	1	6	yes	—
1212	C₂²×C₄	#2403	1	6	yes	—
1213	C₂²×C₄	#2403	1	6	yes	—
1214	C₂²×C₄	#2403	1	6	yes	—
1215	C₂²×C₄	#2403	1	1	yes	characteristic
1216	C₂²×C₄	#2405	1	3	yes	—
1217	C₂²×C₄	#2405	1	3	yes	—
1218	C₂²×C₄	#2405	1	6	yes	—
1219	C₂²×C₄	#2405	1	3	yes	—
1220	C₂²×C₄	#2405	1	3	yes	—
1221	C₂²×C₄	#2405	1	6	yes	—
1222	C₂²×C₄	#2405	1	6	yes	—
1223	C₂²×C₄	#2405	1	6	yes	—
1224	C₂²×C₄	#2405	1	6	yes	—
1225	C₂²×C₄	#2405	1	6	yes	—
1226	C₂²×C₄	#2405	1	3	yes	—
1227	C₂²×C₄	#2405	1	3	yes	—
1228	C₂²×C₄	#2405	1	3	yes	—
1229	C₂²×C₄	#2405	1	6	yes	—
1230	C₂²×C₄	#2405	1	3	yes	—
1231	C₂²×C₄	#2405	1	3	yes	—
1232	C₂²×C₄	#2405	1	6	yes	—
1233	C₂²×C₄	#2405	1	3	yes	—
1234	C₂²×C₄	#2405	1	3	yes	—
1235	C₂²×C₄	#2405	1	6	yes	—
1236	C₂²×C₄	#2405	1	6	yes	—
1237	C₂²×C₄	#2405	1	6	yes	—
1238	C₂²×C₄	#2405	1	6	yes	—
1239	C₂²×C₄	#2405	1	6	yes	—
1240	C₂²×C₄	#2405	1	1	yes	characteristic
1241	C₂²×C₄	#2410	1	3	yes	—
1242	C₂²×C₄	#2410	1	3	yes	—
1243	C₂²×C₄	#2410	1	3	yes	—
1244	C₂²×C₄	#2410	1	3	yes	—
1245	C₂²×C₄	#2410	1	6	yes	—
1246	C₂²×C₄	#2410	1	6	yes	—
1247	C₂²×C₄	#2410	1	3	yes	—
1248	C₂²×C₄	#2410	1	3	yes	—
1249	C₂²×C₄	#2410	1	3	yes	—
1250	C₂²×C₄	#2410	1	3	yes	—
1251	C₂²×C₄	#2410	1	6	yes	—
1252	C₂²×C₄	#2410	1	6	yes	—
1253	C₂²×C₄	#2410	1	6	yes	—
1254	C₂²×C₄	#2410	1	6	yes	—
1255	C₂²×C₄	#2410	1	6	yes	—
1256	C₂²×C₄	#2410	1	6	yes	—
1257	C₂²×C₄	#2410	1	6	yes	—
1258	C₂²×C₄	#2410	1	6	yes	—
1259	C₂²×C₄	#2410	1	6	yes	—
1260	C₂²×C₄	#2410	1	6	yes	—
1261	C₂²×C₄	#2410	1	3	yes	—
1262	C₂²×C₄	#2410	1	3	yes	—
1263	C₂²×C₄	#2410	1	3	yes	—
1264	C₂²×C₄	#2410	1	3	yes	—
1265	C₂²×C₄	#2410	1	3	yes	—
1266	C₂²×C₄	#2410	1	3	yes	—
1267	C₂²×C₄	#2410	1	6	yes	—
1268	C₂²×C₄	#2410	1	6	yes	—
1269	C₂²×C₄	#2410	1	3	yes	—
1270	C₂²×C₄	#2410	1	3	yes	—
1271	C₂²×C₄	#2410	1	6	yes	—
1272	C₂²×C₄	#2410	1	3	yes	—
1273	C₂²×C₄	#2410	1	6	yes	—
1274	C₂²×C₄	#2410	1	3	yes	—
1275	C₂²×C₄	#2410	1	3	yes	—
1276	C₂²×C₄	#2410	1	6	yes	—
1277	C₂²×C₄	#2410	1	3	yes	—
1278	C₂²×C₄	#2410	1	6	yes	—
1279	C₂²×C₄	#2410	1	3	yes	—
1280	C₂²×C₄	#2410	1	6	yes	—
1281	C₂²×C₄	#2410	1	3	yes	—
1282	C₂²×C₄	#2410	1	6	yes	—
1283	C₂²×C₄	#2410	1	6	yes	—
1284	C₂²×C₄	#2410	1	6	yes	—
1285	C₂²×C₄	#2410	1	6	yes	—
1286	C₂²×C₄	#2410	1	6	yes	—
1287	C₂²×C₄	#2410	1	6	yes	—
1288	C₂²×C₄	#2410	1	6	yes	—
1289	C₂²×C₄	#2410	1	1	yes	characteristic
1290	C₂²×C₄	#2410	1	1	yes	characteristic
1291	C₂²×C₄	C₂³×C₂²⋊C₄	1	3	yes	—
1292	C₂²×C₄	C₂³×C₂²⋊C₄	1	3	yes	—
1293	C₂²×C₄	C₂³×C₂²⋊C₄	1	3	yes	—
1294	C₂²×C₄	C₂³×C₂²⋊C₄	1	3	yes	—
1295	C₂²×C₄	C₂³×C₂²⋊C₄	1	3	yes	—
1296	C₂²×C₄	C₂³×C₂²⋊C₄	1	3	yes	—
1297	C₂²×C₄	C₂³×C₂²⋊C₄	1	3	yes	—
1298	C₂²×C₄	C₂³×C₂²⋊C₄	1	3	yes	—
1299	C₂²×C₄	C₂³×C₂²⋊C₄	1	3	yes	—
1300	C₂²×C₄	C₂³×C₂²⋊C₄	1	3	yes	—
1301	C₂²×C₄	C₂³×C₂²⋊C₄	1	3	yes	—
1302	C₂²×C₄	C₂³×C₂²⋊C₄	1	3	yes	—
1303	C₂²×C₄	C₂²×C₄×D₄	1	3	yes	—
1304	C₂²×C₄	C₂²×C₄×D₄	1	3	yes	—
1305	C₂²×C₄	C₂²×C₄×D₄	1	3	yes	—
1306	C₂²×C₄	C₂²×C₄×D₄	1	3	yes	—
1307	C₂²×C₄	C₂²×C₄×D₄	1	3	yes	—
1308	C₂²×C₄	C₂²×C₄×D₄	1	3	yes	—
1309	C₂²×C₄	C₂²×C₄×D₄	1	3	yes	—
1310	C₂²×C₄	C₂²×C₄×D₄	1	3	yes	—
1311	C₂²×C₄	C₂×#518	1	3	yes	—
1312	C₂²×C₄	C₂×#518	1	3	yes	—
1313	C₂²×C₄	C₂×#518	1	3	yes	—
1314	C₂²×C₄	C₂×#518	1	3	yes	—
1315	C₂²×C₄	C₂×#518	1	3	yes	—
1316	C₂²×C₄	C₂×#518	1	3	yes	—
1317	C₂²×C₄	C₂²×#120	1	3	yes	—
1318	C₂²×C₄	C₂²×#120	1	3	yes	—
1319	C₂²×C₄	C₂²×#120	1	3	yes	—
1320	C₂²×C₄	C₂²×#120	1	3	yes	—
1321	C₂²×C₄	C₂²×#120	1	3	yes	—
1322	C₂²×C₄	C₂²×#120	1	3	yes	—
1323	C₂²×C₄	C₂²×#120	1	3	yes	—
1324	C₂²×C₄	C₂²×#120	1	3	yes	—
1325	C₂²×C₄	C₂²×#120	1	3	yes	—
1326	C₂²×C₄	C₂²×#120	1	3	yes	—
1327	C₂²×C₄	C₂²×#120	1	3	yes	—
1328	C₂²×C₄	C₂²×#120	1	3	yes	—
1329	C₂²×C₄	C₂²×#120	1	3	yes	—
1330	C₂²×C₄	C₂²×#120	1	3	yes	—
1331	C₂²×C₄	C₂²×#120	1	3	yes	—
1332	C₂²×C₄	C₂²×#120	1	3	yes	—
1333	C₂²×C₄	C₂²×#120	1	3	yes	—
1334	C₂²×C₄	C₂²×#120	1	3	yes	—
1335	C₂²×C₄	C₂²×#120	1	3	yes	—
1336	C₂²×C₄	C₂²×#120	1	3	yes	—
1337	C₂²×C₄	C₂²×#121	1	3	yes	—
1338	C₂²×C₄	C₂²×#121	1	3	yes	—
1339	C₂²×C₄	C₂²×#121	1	3	yes	—
1340	C₂²×C₄	C₂²×#121	1	3	yes	—
1341	C₂²×C₄	C₂²×#121	1	3	yes	—
1342	C₂²×C₄	C₂²×#121	1	3	yes	—
1343	C₂²×C₄	C₂²×#121	1	3	yes	—
1344	C₂²×C₄	C₂²×#121	1	3	yes	—
1345	C₂²×C₄	C₂²×#123	1	3	yes	—
1346	C₂²×C₄	C₂²×#123	1	3	yes	—
1347	C₂²×C₄	C₂²×#123	1	3	yes	—
1348	C₂²×C₄	C₂²×#123	1	3	yes	—
1349	C₂²×C₄	C₂×#534	1	3	yes	—
1350	C₂²×C₄	C₂×#534	1	3	yes	—
1351	C₂²×C₄	C₂×#534	1	3	yes	—
1352	C₂²×C₄	C₂×#534	1	3	yes	—
1353	C₂²×C₄	C₂×#534	1	3	yes	—
1354	C₂²×C₄	C₂×#534	1	3	yes	—
1355	C₂²×C₄	C₂×#534	1	3	yes	—
1356	C₂²×C₄	C₂×#534	1	3	yes	—
1357	C₂²×C₄	C₂×#534	1	3	yes	—
1358	C₂²×C₄	C₂×#534	1	3	yes	—
1359	C₂²×C₄	C₂×#534	1	3	yes	—
1360	C₂²×C₄	C₂×#534	1	3	yes	—
1361	C₂²×C₄	C₂×D₄²	1	3	yes	—
1362	C₂²×C₄	C₂×D₄²	1	3	yes	—
1363	C₂²×C₄	C₂×D₄²	1	3	yes	—
1364	C₂²×C₄	C₂×D₄²	1	3	yes	—
1365	C₂²×C₄	C₂×D₄²	1	3	yes	—
1366	C₂²×C₄	C₂×D₄²	1	3	yes	—
1367	C₂²×C₄	C₂×D₄²	1	3	yes	—
1368	C₂²×C₄	C₂×D₄²	1	3	yes	—
1369	C₂²×C₄	C₂×D₄²	1	3	yes	—
1370	C₂²×C₄	C₂×D₄²	1	3	yes	—
1371	C₂²×C₄	C₂×D₄²	1	3	yes	—
1372	C₂²×C₄	C₂×D₄²	1	3	yes	—
1373	C₂²×C₄	C₂×D₄²	1	3	yes	—
1374	C₂²×C₄	C₂×D₄²	1	3	yes	—
1375	C₂²×C₄	C₂×D₄²	1	3	yes	—
1376	C₂²×C₄	C₂×D₄²	1	3	yes	—
1377	C₂²×C₄	C₂×D₄²	1	3	yes	—
1378	C₂²×C₄	C₂×D₄²	1	3	yes	—
1379	C₂²×C₄	C₂×D₄²	1	3	yes	—
1380	C₂²×C₄	C₂×D₄²	1	3	yes	—
1381	C₂²×C₄	C₂×D₄²	1	3	yes	—
1382	C₂²×C₄	C₂×D₄²	1	3	yes	—
1383	C₂²×C₄	C₂×D₄²	1	3	yes	—
1384	C₂²×C₄	C₂×D₄²	1	3	yes	—
1385	C₂²×C₄	C₂×D₄²	1	3	yes	—
1386	C₂²×C₄	C₂×D₄²	1	3	yes	—
1387	C₂²×C₄	C₂×D₄²	1	3	yes	—
1388	C₂²×C₄	C₂×D₄²	1	3	yes	—
1389	C₂²×C₄	C₂×#546	1	3	yes	—
1390	C₂²×C₄	C₂×#546	1	3	yes	—
1391	C₂²×C₄	C₂×#546	1	3	yes	—
1392	C₂²×C₄	C₂×#546	1	3	yes	—
1393	C₂²×C₄	C₂×#546	1	3	yes	—
1394	C₂²×C₄	C₂×#546	1	3	yes	—
1395	C₂²×C₄	C₂×#546	1	3	yes	—
1396	C₂²×C₄	C₂×#546	1	3	yes	—
1397	C₂²×C₄	C₂×#546	1	3	yes	—
1398	C₂²×C₄	C₂×#546	1	3	yes	—
1399	C₂²×C₄	C₂×#546	1	3	yes	—
1400	C₂²×C₄	C₂×#546	1	3	yes	—
1401	C₂²×C₄	C₂×#546	1	3	yes	—
1402	C₂²×C₄	C₂×#546	1	3	yes	—
1403	C₂²×C₄	C₂×#546	1	3	yes	—
1404	C₂²×C₄	C₂×#546	1	3	yes	—
1405	C₂²×C₄	C₂×#546	1	3	yes	—
1406	C₂²×C₄	C₂×#546	1	3	yes	—
1407	C₂²×C₄	C₂×#546	1	3	yes	—
1408	C₂²×C₄	C₂×#546	1	3	yes	—
1409	C₂²×C₄	C₂×#546	1	3	yes	—
1410	C₂²×C₄	C₂×#546	1	3	yes	—
1411	C₂²×C₄	C₂×#546	1	3	yes	—
1412	C₂²×C₄	C₂×#546	1	3	yes	—
1413	C₂²×C₄	C₂×#546	1	3	yes	—
1414	C₂²×C₄	C₂×#546	1	3	yes	—
1415	C₂²×C₄	C₂×#546	1	3	yes	—
1416	C₂²×C₄	C₂×#546	1	3	yes	—
1417	C₂²×C₄	C₂⁵×C₄	1	1	yes	characteristic
1418	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1419	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1420	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1421	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1422	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1423	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1424	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1425	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1426	C₂²×C₄	C₂³×#41	1	1	yes	characteristic
1427	C₂²×C₄	C₂³×#41	1	1	yes	characteristic
1428	C₂²×C₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1429	C₂²×C₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1430	C₂²×C₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1431	M₁₆	C₂³×C₂²⋊C₄	1	16	yes	—
1432	C₂×C₈	C₂³×C₂²⋊C₄	1	16	yes	—
1433	C₂³	#13867	1	3	yes	—
1434	C₂³	#13867	1	3	yes	—
1435	C₂³	#13867	1	3	yes	—
1436	C₂³	#13867	1	3	yes	—
1437	C₂³	#13867	1	3	yes	—
1438	C₂³	#13867	1	3	yes	—
1439	C₂³	#13867	1	3	yes	—
1440	C₂³	#13867	1	6	yes	—
1441	C₂³	#13867	1	6	yes	—
1442	C₂³	#13867	1	6	yes	—
1443	C₂³	#13867	1	6	yes	—
1444	C₂³	#13867	1	6	yes	—
1445	C₂³	#13867	1	6	yes	—
1446	C₂³	#13867	1	6	yes	—
1447	C₂³	#13867	1	1	yes	characteristic
1448	C₂³	C₂×#2308	1	3	yes	—
1449	C₂³	C₂×#2308	1	3	yes	—
1450	C₂³	C₂×#2308	1	3	yes	—
1451	C₂³	C₂×#2308	1	3	yes	—
1452	C₂³	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1453	C₂³	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1454	C₂³	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1455	C₂³	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1456	C₂³	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1457	C₂³	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1458	C₂³	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1459	C₂³	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1460	C₂³	C₂×#2403	1	3	yes	—
1461	C₂³	C₂×#2403	1	3	yes	—
1462	C₂³	C₂×#2403	1	3	yes	—
1463	C₂³	C₂×#2403	1	3	yes	—
1464	C₂³	C₂×#2410	1	3	yes	—
1465	C₂³	C₂×#2410	1	3	yes	—
1466	C₂³	C₂×#2410	1	3	yes	—
1467	C₂³	C₂×#2410	1	3	yes	—
1468	C₂³	C₂×#2410	1	3	yes	—
1469	C₂³	C₂×#2410	1	3	yes	—
1470	C₂³	C₂×#2410	1	3	yes	—
1471	C₂³	C₂×#2410	1	3	yes	—
1472	C₂³	C₂×#2405	1	3	yes	—
1473	C₂³	C₂×#2405	1	3	yes	—
1474	C₂³	C₂×#2405	1	3	yes	—
1475	C₂³	C₂×#2405	1	3	yes	—
1476	C₂³	C₂²×#518	1	1	yes	characteristic
1477	C₂³	C₂²×#534	1	1	yes	characteristic
1478	C₂³	C₂²×#534	1	1	yes	characteristic
1479	C₂³	C₂²×D₄²	1	1	yes	characteristic
1480	C₂³	C₂²×D₄²	1	1	yes	characteristic
1481	C₂³	C₂²×#546	1	1	yes	characteristic
1482	C₂³	C₂²×#546	1	1	yes	characteristic
1483	Q₈	C₂²×#379	1	16	yes	—
1484	Q₈	C₂²×#386	1	16	yes	—
1485	D₄	C₂²×#379	1	16	yes	—
1486	D₄	C₂²×#386	1	16	yes	—
1487	C₂×C₄	#13867	1	6	yes	—
1488	C₂×C₄	#13867	1	3	yes	—
1489	C₂×C₄	#13867	1	3	yes	—
1490	C₂×C₄	#13867	1	6	yes	—
1491	C₂×C₄	#13867	1	3	yes	—
1492	C₂×C₄	#13867	1	3	yes	—
1493	C₂×C₄	#13867	1	6	yes	—
1494	C₂×C₄	#13867	1	3	yes	—
1495	C₂×C₄	#13867	1	3	yes	—
1496	C₂×C₄	#13867	1	6	yes	—
1497	C₂×C₄	#13867	1	6	yes	—
1498	C₂×C₄	#13867	1	6	yes	—
1499	C₂×C₄	#13867	1	6	yes	—
1500	C₂×C₄	#13867	1	6	yes	—
1501	C₂×C₄	#13867	1	6	yes	—
1502	C₂×C₄	#13867	1	6	yes	—
1503	C₂×C₄	#13867	1	6	yes	—
1504	C₂×C₄	#13867	1	6	yes	—
1505	C₂×C₄	#13867	1	3	yes	—
1506	C₂×C₄	#13867	1	3	yes	—
1507	C₂×C₄	#13867	1	6	yes	—
1508	C₂×C₄	#13867	1	6	yes	—
1509	C₂×C₄	#13867	1	6	yes	—
1510	C₂×C₄	#13867	1	6	yes	—
1511	C₂×C₄	#13867	1	6	yes	—
1512	C₂×C₄	#13867	1	6	yes	—
1513	C₂×C₄	#13867	1	6	yes	—
1514	C₂×C₄	#13867	1	6	yes	—
1515	C₂×C₄	#13867	1	6	yes	—
1516	C₂×C₄	#13867	1	6	yes	—
1517	C₂×C₄	#13867	1	6	yes	—
1518	C₂×C₄	#13867	1	6	yes	—
1519	C₂×C₄	#13867	1	6	yes	—
1520	C₂×C₄	#13867	1	6	yes	—
1521	C₂×C₄	#13867	1	6	yes	—
1522	C₂×C₄	#13867	1	6	yes	—
1523	C₂×C₄	C₂²×#379	1	3	yes	—
1524	C₂×C₄	C₂²×#379	1	3	yes	—
1525	C₂×C₄	C₂²×#379	1	3	yes	—
1526	C₂×C₄	C₂²×#379	1	3	yes	—
1527	C₂×C₄	C₂²×#379	1	3	yes	—
1528	C₂×C₄	C₂²×#379	1	3	yes	—
1529	C₂×C₄	C₂²×#379	1	3	yes	—
1530	C₂×C₄	C₂²×#379	1	3	yes	—
1531	C₂×C₄	C₂²×#386	1	3	yes	—
1532	C₂×C₄	C₂²×#386	1	3	yes	—
1533	C₂×C₄	C₂²×#386	1	3	yes	—
1534	C₂×C₄	C₂²×#386	1	3	yes	—
1535	C₂×C₄	C₂²×#386	1	3	yes	—
1536	C₂×C₄	C₂²×#386	1	3	yes	—
1537	C₂×C₄	C₂²×#386	1	3	yes	—
1538	C₂×C₄	C₂²×#386	1	3	yes	—
1539	C₂×C₄	C₂×#2308	1	3	yes	—
1540	C₂×C₄	C₂×#2308	1	3	yes	—
1541	C₂×C₄	C₂×#2308	1	3	yes	—
1542	C₂×C₄	C₂×#2308	1	3	yes	—
1543	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1544	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1545	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1546	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1547	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1548	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1549	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1550	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1551	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1552	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1553	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1554	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1555	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1556	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1557	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1558	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1559	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1560	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1561	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1562	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1563	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1564	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1565	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1566	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	3	yes	—
1567	C₂×C₄	C₂×#2403	1	3	yes	—
1568	C₂×C₄	C₂×#2403	1	3	yes	—
1569	C₂×C₄	C₂×#2403	1	3	yes	—
1570	C₂×C₄	C₂×#2403	1	3	yes	—
1571	C₂×C₄	C₂×#2403	1	3	yes	—
1572	C₂×C₄	C₂×#2403	1	3	yes	—
1573	C₂×C₄	C₂×#2403	1	3	yes	—
1574	C₂×C₄	C₂×#2403	1	3	yes	—
1575	C₂×C₄	C₂×#2403	1	3	yes	—
1576	C₂×C₄	C₂×#2403	1	3	yes	—
1577	C₂×C₄	C₂×#2403	1	3	yes	—
1578	C₂×C₄	C₂×#2403	1	3	yes	—
1579	C₂×C₄	C₂×#2410	1	3	yes	—
1580	C₂×C₄	C₂×#2410	1	3	yes	—
1581	C₂×C₄	C₂×#2410	1	3	yes	—
1582	C₂×C₄	C₂×#2410	1	3	yes	—
1583	C₂×C₄	C₂×#2410	1	3	yes	—
1584	C₂×C₄	C₂×#2410	1	3	yes	—
1585	C₂×C₄	C₂×#2410	1	3	yes	—
1586	C₂×C₄	C₂×#2410	1	3	yes	—
1587	C₂×C₄	C₂×#2410	1	3	yes	—
1588	C₂×C₄	C₂×#2410	1	3	yes	—
1589	C₂×C₄	C₂×#2410	1	3	yes	—
1590	C₂×C₄	C₂×#2410	1	3	yes	—
1591	C₂×C₄	C₂×#2410	1	3	yes	—
1592	C₂×C₄	C₂×#2410	1	3	yes	—
1593	C₂×C₄	C₂×#2410	1	3	yes	—
1594	C₂×C₄	C₂×#2410	1	3	yes	—
1595	C₂×C₄	C₂×#2410	1	3	yes	—
1596	C₂×C₄	C₂×#2410	1	3	yes	—
1597	C₂×C₄	C₂×#2410	1	3	yes	—
1598	C₂×C₄	C₂×#2410	1	3	yes	—
1599	C₂×C₄	C₂×#2410	1	3	yes	—
1600	C₂×C₄	C₂×#2410	1	3	yes	—
1601	C₂×C₄	C₂×#2410	1	3	yes	—
1602	C₂×C₄	C₂×#2410	1	3	yes	—
1603	C₂×C₄	C₂×#2405	1	3	yes	—
1604	C₂×C₄	C₂×#2405	1	3	yes	—
1605	C₂×C₄	C₂×#2405	1	3	yes	—
1606	C₂×C₄	C₂×#2405	1	3	yes	—
1607	C₂×C₄	C₂×#2405	1	3	yes	—
1608	C₂×C₄	C₂×#2405	1	3	yes	—
1609	C₂×C₄	C₂×#2405	1	3	yes	—
1610	C₂×C₄	C₂×#2405	1	3	yes	—
1611	C₂×C₄	C₂×#2405	1	3	yes	—
1612	C₂×C₄	C₂×#2405	1	3	yes	—
1613	C₂×C₄	C₂×#2405	1	3	yes	—
1614	C₂×C₄	C₂×#2405	1	3	yes	—
1615	C₂×C₄	C₂⁴×C₂²⋊C₄	1	1	yes	characteristic
1616	C₂×C₄	C₂⁴×C₂²⋊C₄	1	1	yes	characteristic
1617	C₂×C₄	C₂⁴×C₂²⋊C₄	1	1	yes	characteristic
1618	C₂×C₄	C₂³×C₄×D₄	1	1	yes	characteristic
1619	C₂×C₄	C₂³×C₄×D₄	1	1	yes	characteristic
1620	C₂×C₄	C₂²×#518	1	1	yes	characteristic
1621	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1622	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1623	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1624	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1625	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1626	C₂×C₄	C₂³×#121	1	1	yes	characteristic
1627	C₂×C₄	C₂³×#121	1	1	yes	characteristic
1628	C₂×C₄	C₂³×#123	1	1	yes	characteristic
1629	C₂×C₄	C₂²×#534	1	1	yes	characteristic
1630	C₂×C₄	C₂²×#534	1	1	yes	characteristic
1631	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
1632	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
1633	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
1634	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
1635	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
1636	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
1637	C₂×C₄	C₂²×#546	1	1	yes	characteristic
1638	C₂×C₄	C₂²×#546	1	1	yes	characteristic
1639	C₂×C₄	C₂²×#546	1	1	yes	characteristic
1640	C₂×C₄	C₂²×#546	1	1	yes	characteristic
1641	C₂×C₄	C₂²×#546	1	1	yes	characteristic
1642	C₂×C₄	C₂²×#546	1	1	yes	characteristic
1643	C₂²	#359681	1	4	yes	direct product factor
1644	C₂²	C₂×#13867	1	3	yes	—
1645	C₂²	C₂×#13867	1	3	yes	—
1646	C₂²	C₂×#13867	1	3	yes	—
1647	C₂²	C₂×#13867	1	3	yes	—
1648	C₂²	C₂×#13867	1	3	yes	—
1649	C₂²	C₂×#13867	1	3	yes	—
1650	C₂²	C₂×#13867	1	3	yes	—
1651	C₂²	C₂×#13867	1	3	yes	—
1652	C₂²	C₂²×#2308	1	1	yes	characteristic
1653	C₂²	C₂²×D₄×C₂²⋊C₄	1	1	yes	characteristic
1654	C₂²	C₂²×D₄×C₂²⋊C₄	1	1	yes	characteristic
1655	C₂²	C₂²×#2403	1	1	yes	characteristic
1656	C₂²	C₂²×#2410	1	1	yes	characteristic
1657	C₂²	C₂²×#2410	1	1	yes	characteristic
1658	C₂²	C₂²×#2405	1	1	yes	characteristic
1659	C₄	C₂×#13867	1	3	yes	—
1660	C₄	C₂×#13867	1	3	yes	—
1661	C₄	C₂×#13867	1	3	yes	—
1662	C₄	C₂×#13867	1	3	yes	—
1663	C₄	C₂×#13867	1	3	yes	—
1664	C₄	C₂×#13867	1	3	yes	—
1665	C₄	C₂×#13867	1	3	yes	—
1666	C₄	C₂×#13867	1	3	yes	—
1667	C₄	C₂³×#379	1	1	yes	characteristic
1668	C₄	C₂³×#386	1	1	yes	characteristic
1669	C₄	C₂²×D₄×C₂²⋊C₄	1	1	yes	characteristic
1670	C₄	C₂²×D₄×C₂²⋊C₄	1	1	yes	characteristic
1671	C₄	C₂²×#2403	1	1	yes	characteristic
1672	C₄	C₂²×#2410	1	1	yes	characteristic
1673	C₄	C₂²×#2410	1	1	yes	characteristic
1674	C₄	C₂²×#2405	1	1	yes	characteristic
1675	C₂	C₂²×#13867	1	1	yes	characteristic
1676	C₂	C₂×#359681	1	6	yes	direct product factor

	subgroup	G/H
center, socle	C₂³	#13867
commutator	C₂²×C₄	C₂⁵×C₄
Frattini, cosocle	C₂³×C₄	C₂⁶
prime radical	C₂³×#3585	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₂⁵×C₄ ◁ G
LECS	G ▷ C₂³×C₄ ▷ C₂ ▷ C₁

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₂²×#10778	C₂	semidirect
2. C₂²×#11033	C₂	semidirect
3. C₂²×#10794	C₂	semidirect
4. C₂²×#11032	C₂	semidirect
5. C₂²×#20995	C₂	semidirect
6. C₂²×#11014	C₂	semidirect
7. C₂²×#11012	C₂	semidirect
8. C₂²×#20945	C₂	semidirect
9. C₂²×#20998	C₂	semidirect
10. C₂²×#21005	C₂	semidirect
11. C₂²×#20620	C₂	semidirect
12. C₂²×#20616	C₂	semidirect
13. C₂²×#60093	C₂	semidirect
14. C₂×#359681	C₂	direct (N × H)
15. C₂³×#1795	C₂	semidirect
19. C₂²×#3585	C₄	semidirect
21. C₂³×#577	C₄	semidirect
22. C₂³×#576	C₄	semidirect
28. C₂³×#568	C₂²	semidirect
29. C₂²×#3428	C₂²	semidirect
30. C₂²×#2879	C₂²	semidirect
31. C₂³×#410	C₂²	semidirect
32. C₂³×#410	C₂²	semidirect
33. C₂×#60093	C₂²	semidirect
35. C₂²×#2896	C₂²	semidirect
36. C₂²×#2896	C₂²	semidirect
37. C₂³×#413	C₂²	semidirect
41. C₂³×#421	C₂²	semidirect
42. C₂³×#421	C₂²	semidirect
43. C₂³×#421	C₂²	semidirect
44. C₂³×#421	C₂²	semidirect
45. C₂³×#418	C₂²	semidirect
46. C₂³×#418	C₂²	semidirect
47. C₂⁴×#100	C₂²	semidirect
48. C₂²×#2309	C₂²	semidirect
49. C₂×#21005	C₂²	semidirect
50. C₂×#20998	C₂²	semidirect
51. C₂×#20995	C₂²	semidirect
52. C₂×#20945	C₂²	semidirect
53. C₂²×#1795	C₂²	semidirect
54. C₂×#20620	C₂²	semidirect
55. C₂×#20616	C₂²	semidirect
56. C₂³×#344	C₂²	semidirect
57. C₂³×#344	C₂²	semidirect
58. C₂²×#1742	C₂²	semidirect
59. C₂²×#1742	C₂²	semidirect
60. C₂²×#1738	C₂²	semidirect
61. C₂²×#1733	C₂²	semidirect
62. C₂³×#338	C₂²	semidirect
63. C₂³×H(3,ℤ/4)	C₂²	semidirect
64. #359681	C₂²	direct (N × H)
65. C₂×#11033	C₂²	semidirect
66. C₂×#11032	C₂²	semidirect
67. C₂×#11014	C₂²	semidirect
68. C₂×#11012	C₂²	semidirect
69. C₂×#10794	C₂²	semidirect
70. C₂×#10778	C₂²	semidirect
79. C₂³×H(5,𝔽₂)	C₂×C₄	semidirect
80. C₂³×H(5,𝔽₂)	C₂×C₄	semidirect
87. C₂×#3585	C₂×C₄	semidirect
89. C₂²×#577	C₂×C₄	semidirect
90. C₂²×#576	C₂×C₄	semidirect
92. C₂²×#575	C₂×C₄	semidirect
97. C₂³×#137	C₂×C₄	semidirect
102. C₂³×AGL(1,ℤ/8)	C₂×C₄	semidirect
103. C₂³×AGL(1,ℤ/8)	C₂×C₄	semidirect
113. C₂⁴×SD₁₆	C₂×C₄	semidirect
114. C₂⁴×D₈	C₂×C₄	semidirect
115. C₂²×#568	C₂×C₄	semidirect
117. C₂²×#568	C₂³	semidirect
118. C₂³×#131	C₂×C₄	semidirect
125. C₂×#3428	C₂³	semidirect
130. #60093	C₂³	semidirect
137. C₂²×#421	C₂³	semidirect
138. C₂²×#421	C₂³	semidirect
139. C₂²×#421	C₂³	semidirect
140. C₂²×#421	C₂³	semidirect
143. C₂×#2896	C₂³	semidirect
144. C₂×#2896	C₂³	semidirect
145. C₂²×#418	C₂³	semidirect
146. C₂²×#418	C₂³	semidirect
147. C₂²×#413	C₂³	semidirect
148. C₂³×#100	C₂³	semidirect
149. C₂²×#410	C₂³	semidirect
150. C₂²×#410	C₂³	semidirect
151. C₂×#2879	C₂³	semidirect
152. C₂×#2309	C₂³	semidirect
153. #21005	C₂³	semidirect
154. #20998	C₂³	semidirect
155. #20995	C₂³	semidirect
156. #20945	C₂³	semidirect
157. C₂×#1795	C₂³	semidirect
158. #20620	C₂³	semidirect
159. #20616	C₂³	semidirect
160. C₂²×#344	C₂³	semidirect
161. C₂²×#344	C₂³	semidirect
162. C₂×#1742	C₂³	semidirect
163. C₂×#1742	C₂³	semidirect
164. C₂×#1738	C₂³	semidirect
165. C₂×#1733	C₂³	semidirect
166. C₂²×#338	C₂³	semidirect
167. C₂²×H(3,ℤ/4)	C₂³	semidirect
168. #11033	C₂³	semidirect
169. #11032	C₂³	semidirect
170. #11014	C₂³	semidirect
171. #11012	C₂³	semidirect
172. #10794	C₂³	semidirect
173. #10778	C₂³	semidirect
174. C₂×#585	C₂²⋊C₄	semidirect
175. C₂×#585	C₂²⋊C₄	semidirect
176. C₂×#585	C₂²⋊C₄	semidirect
183. C₂²×2₋¹⁺⁴	C₂²⋊C₄	semidirect
184. C₂²×2₋¹⁺⁴	C₂²⋊C₄	semidirect
186. C₂²×H(5,𝔽₂)	C₂²⋊C₄	semidirect
187. C₂²×H(5,𝔽₂)	C₂²⋊C₄	semidirect
189. C₂²×H(5,𝔽₂)	C₂²×C₄	semidirect
190. C₂²×H(5,𝔽₂)	C₂²×C₄	semidirect
248. C₂×#577	C₂²×C₄	semidirect
249. C₂×#576	C₂²×C₄	semidirect
250. C₂×#575	C₂²⋊C₄	semidirect
252. C₂×#575	C₂²×C₄	semidirect
257. C₂²×#137	C₂²⋊C₄	semidirect
258. C₂²×#137	C₂²⋊C₄	semidirect
259. C₂²×#137	C₂²×C₄	semidirect
267. C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	semidirect
268. C₂²×AGL(1,ℤ/8)	C₂²⋊C₄	semidirect
271. C₂²×AGL(1,ℤ/8)	C₂²×C₄	semidirect
272. C₂²×AGL(1,ℤ/8)	C₂²×C₄	semidirect
281. C₂²×#135	C₂²⋊C₄	semidirect
283. C₂³×Q₁₆	C₂²⋊C₄	semidirect
284. C₂³×SD₁₆	C₂²⋊C₄	semidirect
285. C₂³×SD₁₆	C₂²⋊C₄	semidirect
286. C₂³×SD₁₆	C₂²×C₄	semidirect
287. C₂³×D₈	C₂²⋊C₄	semidirect
288. C₂³×D₈	C₂²×C₄	semidirect
289. C₂×#568	C₂²×C₄	semidirect
291. C₂×#568	C₂⁴	semidirect
292. C₂²×#131	C₂²×C₄	semidirect
315. #3428	C₂⁴	semidirect
330. C₂×#421	C₂⁴	semidirect
331. C₂×#421	C₂⁴	semidirect
332. C₂×#421	C₂⁴	semidirect
333. C₂×#421	C₂⁴	semidirect
336. #2896	C₂⁴	semidirect
337. #2896	C₂⁴	semidirect
338. C₂×#418	C₂⁴	semidirect
339. C₂×#418	C₂⁴	semidirect
340. C₂×#413	C₂⁴	semidirect
341. C₂²×#100	C₂⁴	semidirect
342. C₂×#410	C₂⁴	semidirect
343. C₂×#410	C₂⁴	semidirect
344. #2879	C₂⁴	semidirect
345. #2309	C₂⁴	semidirect
346. C₂×#344	C₂⁴	semidirect
347. C₂×#344	C₂⁴	semidirect
348. #1742	C₂⁴	semidirect
349. #1742	C₂⁴	semidirect
350. #1738	C₂⁴	semidirect
351. #1733	C₂⁴	semidirect
352. C₂×#338	C₂⁴	semidirect
353. C₂×H(3,ℤ/4)	C₂⁴	semidirect
355. #585	C₂×C₂²⋊C₄	semidirect
356. #585	C₂×C₂²⋊C₄	semidirect
359. C₂×2₋¹⁺⁴	C₂×C₂²⋊C₄	semidirect
360. C₂×2₋¹⁺⁴	C₂×C₂²⋊C₄	semidirect
362. C₂×H(5,𝔽₂)	C₂×C₂²⋊C₄	semidirect
363. C₂×H(5,𝔽₂)	C₂×C₂²⋊C₄	semidirect
365. C₂×H(5,𝔽₂)	C₂³×C₄	semidirect
552. C₂×#137	C₂×C₂²⋊C₄	semidirect
553. C₂×#137	C₂×C₂²⋊C₄	semidirect
554. C₂×#137	C₂³×C₄	semidirect
561. C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	semidirect
562. C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	semidirect
564. C₂×AGL(1,ℤ/8)	C₂³×C₄	semidirect
569. C₂×#135	C₂×C₂²⋊C₄	semidirect
571. C₂²×Q₁₆	C₂×C₂²⋊C₄	semidirect
572. C₂²×SD₁₆	C₂×C₂²⋊C₄	semidirect
573. C₂²×SD₁₆	C₂×C₂²⋊C₄	semidirect
574. C₂²×SD₁₆	C₂³×C₄	semidirect
575. C₂²×D₈	C₂×C₂²⋊C₄	semidirect
576. C₂²×D₈	C₂³×C₄	semidirect
577. C₂×#131	C₂³×C₄	semidirect
635. 2₋¹⁺⁴	C₂²×C₂²⋊C₄	semidirect
636. H(5,𝔽₂)	C₂²×C₂²⋊C₄	semidirect
980. C₂×Q₁₆	C₂²×C₂²⋊C₄	semidirect
981. C₂×SD₁₆	C₂²×C₂²⋊C₄	semidirect
982. C₂×SD₁₆	C₂²×C₂²⋊C₄	semidirect
983. C₂×D₈	C₂²×C₂²⋊C₄	semidirect
1643. C₂²	#359681	direct (N × H)
1676. C₂	C₂×#359681	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂²×#10778	2
C₂²×#11033	2
C₂²×#10794	2
C₂²×#11032	2
C₂²×#20995	2
C₂²×#11014	2
C₂²×#11012	2
C₂²×#20945	2
C₂²×#20998	2
C₂²×#21005	2
C₂²×#20620	2
C₂²×#20616	2
C₂²×#60093	2
C₂×#359681	2
C₂³×#1795	2
C₂³×#3585	2

Subgroups — C22×#359681 #72317774

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×#359681 #72317774