Subgroups — C₂²×#394108 #72315147

Order 2048.

At least 15203 conjugacy classes of subgroups; only the 11872 normal subgroups are shown.

The subgroup lattice has 1519 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×#10993	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#23443	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×#11000	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×#23412	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂²×#10792	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂²×#60387	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂²×#20620	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×#21000	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×#11003	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×#60359	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂²×#20605	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×#23414	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂²×#10994	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂²×#62811	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂³×#2010	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#394108	C₂	1	48	yes	maximal, direct product factor
17	C₂³×#585	C₂²	1	1	yes	characteristic
18	C₂⁵×#41	C₂²	1	1	yes	characteristic
19	C₂³×#575	C₂²	1	1	yes	characteristic
20	C₂³×#575	C₂²	1	1	yes	characteristic, complemented
21	C₂³×#575	C₂²	1	1	yes	characteristic, complemented
22	C₂×#62811	C₂²	1	24	yes	complemented
23	C₂²×#3449	C₂²	1	1	yes	characteristic
24	C₂²×#3449	C₂²	1	1	yes	characteristic
25	C₂²×#3449	C₂²	1	1	yes	characteristic, complemented
26	C₂³×#525	C₂²	1	1	yes	characteristic
27	C₂³×#525	C₂²	1	1	yes	characteristic
28	C₂³×#525	C₂²	1	1	yes	characteristic, complemented
29	C₂²×#3428	C₂²	1	1	yes	characteristic
30	C₂×#60387	C₂²	1	24	yes	complemented
31	C₂×#60359	C₂²	1	24	yes	complemented
32	C₂²×#2879	C₂²	1	1	yes	characteristic, complemented
33	C₂³×#407	C₂²	1	1	yes	characteristic, complemented
34	C₂³×#407	C₂²	1	1	yes	characteristic, complemented
35	C₂³×#410	C₂²	1	1	yes	characteristic, complemented
36	C₂³×#410	C₂²	1	1	yes	characteristic, complemented
37	C₂²×#2896	C₂²	1	1	yes	characteristic
38	C₂²×#2896	C₂²	1	1	yes	characteristic, complemented
39	C₂²×#2896	C₂²	1	1	yes	characteristic, complemented
40	C₂³×#413	C₂²	1	1	yes	characteristic, complemented
41	C₂³×#421	C₂²	1	1	yes	characteristic
42	C₂³×#421	C₂²	1	1	yes	characteristic
43	C₂³×#421	C₂²	1	1	yes	characteristic, complemented
44	C₂³×#421	C₂²	1	1	yes	characteristic, complemented
45	C₂³×#421	C₂²	1	1	yes	characteristic, complemented
46	C₂³×#421	C₂²	1	1	yes	characteristic, complemented
47	C₂³×#421	C₂²	1	1	yes	characteristic, complemented
48	C₂²×#2280	C₂²	1	1	yes	characteristic, complemented
49	C₂×#23443	C₂²	1	24	yes	complemented
50	C₂×#23414	C₂²	1	24	yes	complemented
51	C₂²×#2010	C₂²	1	24	yes	complemented
52	C₂×#23412	C₂²	1	24	yes	complemented
53	C₂×#21000	C₂²	1	24	yes	complemented
54	C₂×#20620	C₂²	1	24	yes	complemented
55	C₂×#20605	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×#1740	C₂²	1	1	yes	characteristic, complemented
59	C₂²×#1733	C₂²	1	1	yes	characteristic, complemented
60	C₂³×H(3,ℤ/4)	C₂²	1	1	yes	characteristic, complemented
61	C₂³×H(3,ℤ/4)	C₂²	1	1	yes	characteristic, complemented
62	#394108	C₂²	1	256	yes	direct product factor
63	C₂×#11003	C₂²	1	24	yes	complemented
64	C₂×#11000	C₂²	1	24	yes	complemented
65	C₂×#10994	C₂²	1	24	yes	complemented
66	C₂×#10993	C₂²	1	24	yes	complemented
67	C₂×#10792	C₂²	1	24	yes	complemented
68	C₂²×#585	D₄	1	12	yes	complemented
69	C₂²×#585	C₂³	1	12	yes	—
70	C₂³×2₋¹⁺⁴	D₄	1	2	yes	complemented
71	C₂³×H(5,𝔽₂)	D₄	1	2	yes	complemented
72	C₂⁴×#41	D₄	1	1	yes	characteristic, complemented
73	C₂⁴×#41	D₄	1	1	yes	characteristic, complemented
74	C₂⁴×#41	D₄	1	12	yes	complemented
75	C₂⁴×#41	C₂³	1	12	yes	—
76	C₂⁴×#41	C₂³	1	1	yes	characteristic
77	C₂⁴×#41	C₂³	1	1	yes	characteristic
78	C₂⁴×#41	C₂³	1	1	yes	characteristic
79	C₂⁴×#41	C₂³	1	1	yes	characteristic
80	C₂⁴×#41	C₂³	1	1	yes	characteristic
81	C₂⁵×Q₈	D₄	1	1	yes	characteristic, complemented
82	C₂⁵×D₄	D₄	1	1	yes	characteristic, complemented
83	C₂⁶×C₄	C₂³	1	1	yes	characteristic
84	C₂²×#575	D₄	1	12	yes	complemented
85	C₂²×#575	C₂³	1	12	yes	—
86	C₂²×#575	C₂³	1	12	yes	complemented
87	C₂²×#575	C₂³	1	12	yes	complemented
88	C₂³×#137	D₄	1	2	yes	complemented
89	C₂³×AGL(1,ℤ/8)	D₄	1	2	yes	complemented
90	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
91	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
92	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
93	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
94	#62811	C₂³	1	64	yes	complemented
95	C₂×#3449	D₄	1	12	yes	complemented
96	C₂×#3449	D₄	1	12	yes	complemented
97	C₂×#3449	C₂³	1	12	yes	—
98	C₂×#3449	C₂³	1	12	yes	—
99	C₂×#3449	C₂³	1	12	yes	complemented
100	C₂²×#536	D₄	1	2	yes	complemented
101	C₂²×#535	D₄	1	2	yes	complemented
102	C₂²×#525	D₄	1	12	yes	—
103	C₂²×#525	D₄	1	2	yes	complemented
104	C₂²×#525	D₄	1	2	yes	complemented
105	C₂²×#525	D₄	1	12	yes	complemented
106	C₂²×#525	D₄	1	4	yes	complemented
107	C₂²×#525	C₂³	1	12	yes	—
108	C₂²×#525	C₂³	1	12	yes	—
109	C₂²×#525	C₂³	1	12	yes	complemented
110	C₂³×#123	D₄	1	2	yes	—
111	C₂³×#120	D₄	1	2	yes	—
112	C₂×#3428	D₄	1	12	yes	complemented
113	C₂×#3428	C₂³	1	12	yes	—
114	C₂²×C₄×#41	D₄	1	4	yes	complemented
115	C₂³×#117	C₂³	1	1	yes	characteristic
116	C₂³×#117	C₂³	1	1	yes	characteristic
117	C₂³×#117	C₂³	1	1	yes	characteristic
118	C₂³×#117	C₂³	1	1	yes	characteristic
119	C₂³×#117	C₂³	1	1	yes	characteristic
120	#60387	C₂³	1	64	yes	complemented
121	#60359	C₂³	1	64	yes	complemented
122	C₂²×#421	D₄	1	12	yes	complemented
123	C₂²×#421	C₂³	1	12	yes	—
124	C₂²×#421	C₂³	1	12	yes	—
125	C₂²×#421	C₂³	1	12	yes	complemented
126	C₂²×#421	C₂³	1	12	yes	complemented
127	C₂²×#421	C₂³	1	12	yes	complemented
128	C₂²×#421	C₂³	1	12	yes	complemented
129	C₂²×#421	C₂³	1	12	yes	complemented
130	C₂³×#104	D₄	1	4	yes	complemented
131	C₂×#2896	D₄	1	12	yes	complemented
132	C₂×#2896	C₂³	1	12	yes	—
133	C₂×#2896	C₂³	1	12	yes	complemented
134	C₂×#2896	C₂³	1	12	yes	complemented
135	C₂²×#416	D₄	1	4	yes	complemented
136	C₂²×#413	C₂³	1	12	yes	complemented
137	C₂²×#410	C₂³	1	12	yes	complemented
138	C₂²×#410	C₂³	1	12	yes	complemented
139	C₂×#2879	C₂³	1	12	yes	complemented
140	C₂²×#407	C₂³	1	12	yes	complemented
141	C₂²×#407	C₂³	1	12	yes	complemented
142	C₂×#2280	C₂³	1	12	yes	complemented
143	#23443	C₂³	1	64	yes	complemented
144	#23414	C₂³	1	64	yes	complemented
145	C₂×#2010	C₂³	1	64	yes	complemented
146	#23412	C₂³	1	64	yes	complemented
147	#21000	C₂³	1	64	yes	complemented
148	#20620	C₂³	1	64	yes	complemented
149	#20605	C₂³	1	64	yes	complemented
150	C₂²×#344	C₂³	1	12	yes	complemented
151	C₂²×#344	C₂³	1	12	yes	complemented
152	C₂×#1740	C₂³	1	12	yes	complemented
153	C₂×#1733	C₂³	1	12	yes	complemented
154	C₂²×H(3,ℤ/4)	C₂³	1	12	yes	complemented
155	C₂²×H(3,ℤ/4)	C₂³	1	12	yes	complemented
156	#11003	C₂³	1	64	yes	complemented
157	#11000	C₂³	1	64	yes	complemented
158	#10994	C₂³	1	64	yes	complemented
159	#10993	C₂³	1	64	yes	complemented
160	#10792	C₂³	1	64	yes	complemented
161	C₂⁷	C₂×D₄	1	1	yes	characteristic
162	C₂×#585	C₂×D₄	1	48	yes	complemented
163	C₂×#585	C₂⁴	1	16	yes	—
164	C₂²×2₋¹⁺⁴	C₂×D₄	1	24	yes	complemented
165	C₂²×H(5,𝔽₂)	C₂×D₄	1	24	yes	complemented
166	C₂³×#41	C₂×D₄	1	2	yes	—
167	C₂³×#41	C₂×D₄	1	2	yes	—
168	C₂³×#41	C₂×D₄	1	2	yes	—
169	C₂³×#41	C₂×D₄	1	6	yes	—
170	C₂³×#41	C₂×D₄	1	6	yes	—
171	C₂³×#41	C₂×D₄	1	2	yes	—
172	C₂³×#41	C₂×D₄	1	6	yes	—
173	C₂³×#41	C₂×D₄	1	6	yes	—
174	C₂³×#41	C₂×D₄	1	2	yes	—
175	C₂³×#41	C₂×D₄	1	2	yes	—
176	C₂³×#41	C₂×D₄	1	6	yes	—
177	C₂³×#41	C₂×D₄	1	6	yes	—
178	C₂³×#41	C₂×D₄	1	2	yes	—
179	C₂³×#41	C₂×D₄	1	2	yes	—
180	C₂³×#41	C₂×D₄	1	6	yes	—
181	C₂³×#41	C₂×D₄	1	6	yes	—
182	C₂³×#41	C₂×D₄	1	2	yes	—
183	C₂³×#41	C₂×D₄	1	6	yes	—
184	C₂³×#41	C₂×D₄	1	6	yes	—
185	C₂³×#41	C₂×D₄	1	6	yes	—
186	C₂³×#41	C₂×D₄	1	6	yes	—
187	C₂³×#41	C₂×D₄	1	6	yes	—
188	C₂³×#41	C₂×D₄	1	6	yes	—
189	C₂³×#41	C₂×D₄	1	6	yes	—
190	C₂³×#41	C₂×D₄	1	12	yes	complemented
191	C₂³×#41	C₂×D₄	1	12	yes	complemented
192	C₂³×#41	C₂×D₄	1	6	yes	complemented
193	C₂³×#41	C₂×D₄	1	48	yes	complemented
194	C₂³×#41	#41	1	2	yes	—
195	C₂³×#41	#41	1	6	yes	—
196	C₂³×#41	C₂⁴	1	6	yes	—
197	C₂³×#41	C₂⁴	1	6	yes	—
198	C₂³×#41	C₂⁴	1	6	yes	—
199	C₂³×#41	C₂⁴	1	6	yes	—
200	C₂³×#41	C₂⁴	1	16	yes	—
201	C₂³×#41	C₂⁴	1	6	yes	—
202	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
203	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
204	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
205	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
206	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic, complemented
207	C₂⁴×Q₈	C₂×D₄	1	12	yes	complemented
208	C₂⁴×D₄	C₂×D₄	1	2	yes	—
209	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
210	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
211	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
212	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
213	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic, complemented
214	C₂⁴×D₄	C₂×D₄	1	12	yes	complemented
215	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
216	C₂⁵×C₄	C₂×D₄	1	6	yes	—
217	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
218	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
219	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
220	C₂⁵×C₄	C₂×D₄	1	6	yes	—
221	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
222	C₂⁵×C₄	C₂×D₄	1	6	yes	—
223	C₂⁵×C₄	C₂×D₄	1	2	yes	—
224	C₂⁵×C₄	C₂⁴	1	6	yes	—
225	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
226	C₂×#575	C₂×D₄	1	48	yes	complemented
227	C₂×#575	C₂⁴	1	16	yes	—
228	C₂×#575	C₂⁴	1	16	yes	complemented
229	C₂×#575	C₂⁴	1	16	yes	complemented
230	C₂²×#137	C₂×D₄	1	24	yes	complemented
231	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	24	yes	complemented
232	C₂³×M₁₆	C₂×D₄	1	2	yes	complemented
233	C₂³×M₁₆	C₂×D₄	1	2	yes	complemented
234	C₂³×M₁₆	C₂×D₄	1	6	yes	complemented
235	C₂³×M₁₆	C₂×D₄	1	6	yes	complemented
236	C₂³×M₁₆	C₂×D₄	1	6	yes	complemented
237	C₂³×M₁₆	C₂⁴	1	6	yes	—
238	C₂³×M₁₆	C₂⁴	1	6	yes	—
239	C₂³×M₁₆	C₂⁴	1	6	yes	—
240	C₂³×M₁₆	C₂⁴	1	6	yes	—
241	C₂⁴×C₈	C₂×D₄	1	2	yes	complemented
242	#3449	C₂×D₄	1	48	yes	complemented
243	#3449	C₂×D₄	1	48	yes	complemented
244	#3449	C₂⁴	1	16	yes	—
245	#3449	C₂⁴	1	16	yes	—
246	#3449	C₂⁴	1	16	yes	complemented
247	C₂×#536	C₂×D₄	1	24	yes	complemented
248	C₂×#535	C₂×D₄	1	24	yes	complemented
249	C₂×#525	C₂×D₄	1	48	yes	—
250	C₂×#525	C₂×D₄	1	48	yes	complemented
251	C₂×#525	C₂×D₄	1	24	yes	complemented
252	C₂×#525	C₂×D₄	1	24	yes	complemented
253	C₂×#525	C₂×D₄	1	48	yes	complemented
254	C₂×#525	C₂⁴	1	16	yes	—
255	C₂×#525	C₂⁴	1	16	yes	—
256	C₂×#525	C₂⁴	1	16	yes	complemented
257	C₂²×#123	C₂×D₄	1	24	yes	—
258	C₂²×#120	C₂×D₄	1	24	yes	—
259	#3428	C₂×D₄	1	48	yes	complemented
260	#3428	C₂⁴	1	16	yes	—
261	C₂×C₄×#41	C₂×D₄	1	48	yes	complemented
262	C₂²×#117	C₂×D₄	1	6	yes	—
263	C₂²×#117	C₂×D₄	1	2	yes	—
264	C₂²×#117	C₂×D₄	1	2	yes	—
265	C₂²×#117	C₂×D₄	1	6	yes	—
266	C₂²×#117	C₂×D₄	1	6	yes	—
267	C₂²×#117	C₂×D₄	1	2	yes	—
268	C₂²×#117	C₂×D₄	1	2	yes	—
269	C₂²×#117	C₂×D₄	1	6	yes	—
270	C₂²×#117	C₂×D₄	1	6	yes	—
271	C₂²×#117	C₂×D₄	1	6	yes	—
272	C₂²×#117	C₂×D₄	1	6	yes	complemented
273	C₂²×#117	C₂×D₄	1	2	yes	complemented
274	C₂²×#117	C₂×D₄	1	6	yes	complemented
275	C₂²×#117	C₂⁴	1	6	yes	—
276	C₂²×#117	C₂⁴	1	6	yes	—
277	C₂²×#117	C₂⁴	1	6	yes	—
278	C₂²×#117	C₂⁴	1	6	yes	—
279	C₂²×#117	C₂⁴	1	6	yes	—
280	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
281	C₂³×C₄²	C₂×D₄	1	2	yes	—
282	C₂³×C₄²	C₂×D₄	1	2	yes	complemented
283	C₂×#421	C₂×D₄	1	48	yes	complemented
284	C₂×#421	C₂⁴	1	16	yes	—
285	C₂×#421	C₂⁴	1	16	yes	—
286	C₂×#421	C₂⁴	1	16	yes	complemented
287	C₂×#421	C₂⁴	1	16	yes	complemented
288	C₂×#421	C₂⁴	1	16	yes	complemented
289	C₂×#421	C₂⁴	1	16	yes	complemented
290	C₂×#421	C₂⁴	1	16	yes	complemented
291	C₂²×#104	C₂×D₄	1	48	yes	complemented
292	#2896	C₂×D₄	1	48	yes	complemented
293	#2896	C₂⁴	1	16	yes	—
294	#2896	C₂⁴	1	16	yes	complemented
295	#2896	C₂⁴	1	16	yes	complemented
296	C₂×#416	C₂×D₄	1	48	yes	complemented
297	C₂×#413	C₂⁴	1	16	yes	complemented
298	C₂×#410	C₂⁴	1	16	yes	complemented
299	C₂×#410	C₂⁴	1	16	yes	complemented
300	#2879	C₂⁴	1	16	yes	complemented
301	C₂×#407	C₂⁴	1	16	yes	complemented
302	C₂×#407	C₂⁴	1	16	yes	complemented
303	#2280	C₂⁴	1	16	yes	complemented
304	C₂×#344	C₂⁴	1	16	yes	complemented
305	C₂×#344	C₂⁴	1	16	yes	complemented
306	#1740	C₂⁴	1	16	yes	complemented
307	#1733	C₂⁴	1	16	yes	complemented
308	C₂×H(3,ℤ/4)	C₂⁴	1	16	yes	complemented
309	C₂×H(3,ℤ/4)	C₂⁴	1	16	yes	complemented
310	C₂⁶	#120	1	1	yes	characteristic
311	C₂⁶	#120	1	1	yes	characteristic
312	C₂⁶	#120	1	6	yes	—
313	C₂⁶	#120	1	2	yes	—
314	C₂⁶	C₂²×D₄	1	6	yes	—
315	C₂⁶	C₂²×D₄	1	1	yes	characteristic
316	C₂×2₋¹⁺⁴	C₂²×D₄	1	32	yes	complemented
317	C₂×H(5,𝔽₂)	C₂²×D₄	1	32	yes	complemented
318	C₂²×#41	#120	1	12	yes	—
319	C₂²×#41	#120	1	12	yes	—
320	C₂²×#41	#120	1	12	yes	—
321	C₂²×#41	#120	1	24	yes	—
322	C₂²×#41	#120	1	12	yes	—
323	C₂²×#41	#120	1	24	yes	—
324	C₂²×#41	#120	1	12	yes	—
325	C₂²×#41	#120	1	12	yes	—
326	C₂²×#41	#120	1	24	yes	—
327	C₂²×#41	#120	1	12	yes	—
328	C₂²×#41	#120	1	12	yes	—
329	C₂²×#41	#120	1	24	yes	—
330	C₂²×#41	#120	1	4	yes	—
331	C₂²×#41	#120	1	12	yes	—
332	C₂²×#41	#120	1	12	yes	—
333	C₂²×#41	#120	1	12	yes	—
334	C₂²×#41	#120	1	24	yes	—
335	C₂²×#41	#120	1	24	yes	—
336	C₂²×#41	#121	1	12	yes	—
337	C₂²×#41	#121	1	12	yes	—
338	C₂²×#41	#121	1	24	yes	—
339	C₂²×#41	#121	1	4	yes	—
340	C₂²×#41	#121	1	12	yes	—
341	C₂²×#41	#121	1	4	yes	—
342	C₂²×#41	#121	1	12	yes	—
343	C₂²×#41	#121	1	12	yes	—
344	C₂²×#41	#121	1	12	yes	—
345	C₂²×#41	#121	1	24	yes	—
346	C₂²×#41	#121	1	12	yes	—
347	C₂²×#41	#121	1	12	yes	—
348	C₂²×#41	#121	1	24	yes	—
349	C₂²×#41	#127	1	4	yes	—
350	C₂²×#41	#127	1	12	yes	—
351	C₂²×#41	#127	1	12	yes	—
352	C₂²×#41	#127	1	12	yes	—
353	C₂²×#41	#127	1	24	yes	—
354	C₂²×#41	C₂²×D₄	1	12	yes	—
355	C₂²×#41	C₂²×D₄	1	12	yes	—
356	C₂²×#41	C₂²×D₄	1	12	yes	—
357	C₂²×#41	C₂²×D₄	1	12	yes	—
358	C₂²×#41	C₂²×D₄	1	12	yes	—
359	C₂²×#41	C₂²×D₄	1	12	yes	—
360	C₂²×#41	C₂²×D₄	1	12	yes	—
361	C₂²×#41	C₂²×D₄	1	12	yes	—
362	C₂²×#41	C₂²×D₄	1	12	yes	—
363	C₂²×#41	C₂²×D₄	1	12	yes	—
364	C₂²×#41	C₂²×D₄	1	12	yes	—
365	C₂²×#41	C₂²×D₄	1	12	yes	—
366	C₂²×#41	C₂²×D₄	1	12	yes	—
367	C₂²×#41	C₂²×D₄	1	12	yes	—
368	C₂²×#41	C₂²×D₄	1	12	yes	—
369	C₂²×#41	C₂²×D₄	1	12	yes	—
370	C₂²×#41	C₂²×D₄	1	12	yes	—
371	C₂²×#41	C₂²×D₄	1	12	yes	—
372	C₂²×#41	C₂²×D₄	1	12	yes	—
373	C₂²×#41	C₂²×D₄	1	12	yes	—
374	C₂²×#41	C₂²×D₄	1	12	yes	—
375	C₂²×#41	C₂²×D₄	1	12	yes	—
376	C₂²×#41	C₂²×D₄	1	12	yes	—
377	C₂²×#41	C₂²×D₄	1	12	yes	—
378	C₂²×#41	C₂²×D₄	1	16	yes	complemented
379	C₂²×#41	C₂²×D₄	1	16	yes	complemented
380	C₂²×#41	C₂²×D₄	1	12	yes	complemented
381	C₂²×#41	C₂×#41	1	12	yes	—
382	C₂²×#41	C₂×#41	1	12	yes	—
383	C₂²×#41	C₂⁵	1	4	yes	—
384	C₂²×#41	C₂⁵	1	4	yes	—
385	C₂²×#41	C₂⁵	1	4	yes	—
386	C₂²×#41	C₂⁵	1	4	yes	—
387	C₂²×#41	C₂⁵	1	4	yes	—
388	C₂³×Q₈	#120	1	2	yes	—
389	C₂³×Q₈	#120	1	2	yes	—
390	C₂³×Q₈	#120	1	6	yes	—
391	C₂³×Q₈	#120	1	6	yes	—
392	C₂³×Q₈	#120	1	2	yes	—
393	C₂³×Q₈	#120	1	6	yes	—
394	C₂³×Q₈	#120	1	2	yes	—
395	C₂³×Q₈	#120	1	6	yes	—
396	C₂³×Q₈	#120	1	6	yes	—
397	C₂³×Q₈	#121	1	2	yes	—
398	C₂³×Q₈	#121	1	6	yes	—
399	C₂³×Q₈	C₂²×D₄	1	6	yes	—
400	C₂³×Q₈	C₂²×D₄	1	6	yes	—
401	C₂³×Q₈	C₂²×D₄	1	6	yes	—
402	C₂³×Q₈	C₂²×D₄	1	6	yes	—
403	C₂³×Q₈	C₂²×D₄	1	6	yes	complemented
404	C₂³×Q₈	C₂²×D₄	1	16	yes	complemented
405	C₂³×D₄	#120	1	12	yes	—
406	C₂³×D₄	#120	1	6	yes	—
407	C₂³×D₄	#120	1	2	yes	—
408	C₂³×D₄	#120	1	2	yes	—
409	C₂³×D₄	#120	1	6	yes	—
410	C₂³×D₄	#120	1	6	yes	—
411	C₂³×D₄	#120	1	2	yes	—
412	C₂³×D₄	#120	1	6	yes	—
413	C₂³×D₄	#120	1	2	yes	—
414	C₂³×D₄	#120	1	6	yes	—
415	C₂³×D₄	#121	1	2	yes	—
416	C₂³×D₄	#121	1	6	yes	—
417	C₂³×D₄	C₂²×D₄	1	12	yes	—
418	C₂³×D₄	C₂²×D₄	1	6	yes	—
419	C₂³×D₄	C₂²×D₄	1	6	yes	—
420	C₂³×D₄	C₂²×D₄	1	6	yes	—
421	C₂³×D₄	C₂²×D₄	1	6	yes	—
422	C₂³×D₄	C₂²×D₄	1	6	yes	complemented
423	C₂³×D₄	C₂²×D₄	1	16	yes	complemented
424	C₂⁴×C₄	#120	1	1	yes	characteristic
425	C₂⁴×C₄	#120	1	6	yes	—
426	C₂⁴×C₄	#120	1	1	yes	characteristic
427	C₂⁴×C₄	#120	1	6	yes	—
428	C₂⁴×C₄	#120	1	6	yes	—
429	C₂⁴×C₄	#120	1	6	yes	—
430	C₂⁴×C₄	#120	1	6	yes	—
431	C₂⁴×C₄	#120	1	24	yes	—
432	C₂⁴×C₄	#120	1	2	yes	—
433	C₂⁴×C₄	#120	1	12	yes	—
434	C₂⁴×C₄	C₂²×D₄	1	6	yes	—
435	C₂⁴×C₄	C₂²×D₄	1	12	yes	—
436	C₂⁴×C₄	C₂²×D₄	1	6	yes	—
437	C₂⁴×C₄	C₂²×D₄	1	6	yes	—
438	C₂⁴×C₄	C₂²×D₄	1	6	yes	—
439	C₂⁴×C₄	C₂²×D₄	1	12	yes	—
440	C₂⁴×C₄	C₂²×D₄	1	6	yes	—
441	C₂⁴×C₄	C₂²×D₄	1	12	yes	—
442	C₂⁴×C₄	C₂²×D₄	1	12	yes	—
443	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
444	C₂⁴×C₄	C₂²×D₄	1	3	yes	—
445	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
446	C₂⁴×C₄	C₂²×D₄	1	3	yes	—
447	C₂⁴×C₄	C₂²×D₄	1	3	yes	—
448	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
449	C₂⁴×C₄	C₂²×D₄	1	3	yes	—
450	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
451	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
452	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
453	C₂⁴×C₄	C₂²×D₄	1	3	yes	—
454	C₂⁴×C₄	C₂²×D₄	1	3	yes	—
455	C₂⁴×C₄	C₂²×D₄	1	3	yes	—
456	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
457	C₂⁴×C₄	C₂²×D₄	1	3	yes	—
458	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
459	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
460	C₂⁴×C₄	C₂²×D₄	1	3	yes	—
461	C₂⁴×C₄	C₂²×D₄	1	3	yes	—
462	C₂⁴×C₄	C₂×#41	1	1	yes	characteristic
463	C₂⁴×C₄	C₂×#41	1	3	yes	—
464	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
465	C₂⁴×C₄	H(5,𝔽₂)	1	3	yes	—
466	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
467	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
468	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
469	C₂⁴×C₄	H(5,𝔽₂)	1	3	yes	—
470	C₂⁴×C₄	H(5,𝔽₂)	1	3	yes	—
471	C₂⁴×C₄	H(5,𝔽₂)	1	3	yes	—
472	C₂⁴×C₄	C₂⁵	1	4	yes	—
473	C₂⁴×C₄	C₂⁵	1	3	yes	—
474	C₂×#137	C₂²×D₄	1	32	yes	complemented
475	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	32	yes	complemented
476	C₂²×M₁₆	C₂²×D₄	1	12	yes	complemented
477	C₂²×M₁₆	C₂²×D₄	1	12	yes	complemented
478	C₂²×M₁₆	C₂²×D₄	1	12	yes	complemented
479	C₂²×M₁₆	C₂²×D₄	1	12	yes	complemented
480	C₂²×M₁₆	C₂²×D₄	1	12	yes	complemented
481	C₂²×M₁₆	C₂⁵	1	4	yes	—
482	C₂²×M₁₆	C₂⁵	1	4	yes	—
483	C₂²×M₁₆	C₂⁵	1	4	yes	—
484	C₂²×M₁₆	C₂⁵	1	4	yes	—
485	C₂³×C₈	C₂²×D₄	1	12	yes	complemented
486	#536	C₂²×D₄	1	32	yes	complemented
487	#535	C₂²×D₄	1	32	yes	complemented
488	#525	C₂²×D₄	1	32	yes	complemented
489	#525	C₂²×D₄	1	32	yes	complemented
490	#525	C₂²×D₄	1	64	yes	complemented
491	C₂×#123	C₂²×D₄	1	32	yes	—
492	C₂×#120	C₂²×D₄	1	32	yes	—
493	C₄×#41	C₂²×D₄	1	64	yes	complemented
494	C₂×#117	#120	1	12	yes	—
495	C₂×#117	#120	1	12	yes	—
496	C₂×#117	#120	1	24	yes	—
497	C₂×#117	#120	1	12	yes	—
498	C₂×#117	#120	1	12	yes	—
499	C₂×#117	#120	1	24	yes	—
500	C₂×#117	C₂²×D₄	1	12	yes	—
501	C₂×#117	C₂²×D₄	1	12	yes	—
502	C₂×#117	C₂²×D₄	1	12	yes	—
503	C₂×#117	C₂²×D₄	1	12	yes	—
504	C₂×#117	C₂²×D₄	1	12	yes	—
505	C₂×#117	C₂²×D₄	1	12	yes	—
506	C₂×#117	C₂²×D₄	1	12	yes	—
507	C₂×#117	C₂²×D₄	1	12	yes	—
508	C₂×#117	C₂²×D₄	1	12	yes	—
509	C₂×#117	C₂²×D₄	1	12	yes	—
510	C₂×#117	C₂²×D₄	1	12	yes	complemented
511	C₂×#117	C₂²×D₄	1	12	yes	complemented
512	C₂×#117	C₂²×D₄	1	12	yes	complemented
513	C₂×#117	C₂⁵	1	4	yes	—
514	C₂×#117	C₂⁵	1	4	yes	—
515	C₂×#117	C₂⁵	1	4	yes	—
516	C₂×#117	C₂⁵	1	4	yes	—
517	C₂×#117	C₂⁵	1	4	yes	—
518	C₂²×C₂²⋊C₄	#120	1	4	yes	—
519	C₂²×C₂²⋊C₄	#120	1	12	yes	—
520	C₂²×C₂²⋊C₄	C₂²×D₄	1	12	yes	—
521	C₂²×C₄²	#120	1	4	yes	—
522	C₂²×C₄²	#120	1	12	yes	—
523	C₂²×C₄²	C₂²×D₄	1	12	yes	—
524	C₂²×C₄²	C₂²×D₄	1	12	yes	complemented
525	C₂×#104	C₂²×D₄	1	64	yes	complemented
526	#416	C₂²×D₄	1	64	yes	complemented
527	C₂⁵	C₂×#120	1	6	yes	—
528	C₂⁵	C₂×#120	1	12	yes	—
529	C₂⁵	C₂×#120	1	6	yes	—
530	C₂⁵	C₂×#120	1	12	yes	—
531	C₂⁵	C₂×#120	1	1	yes	characteristic
532	C₂⁵	C₂×#120	1	1	yes	characteristic
533	C₂⁵	C₂×#120	1	1	yes	characteristic
534	C₂⁵	C₂×#120	1	3	yes	—
535	C₂⁵	C₂×#120	1	3	yes	—
536	C₂⁵	C₂×#120	1	3	yes	—
537	C₂⁵	D₄²	1	1	yes	characteristic
538	C₂⁵	D₄²	1	1	yes	characteristic
539	C₂⁵	D₄²	1	1	yes	characteristic
540	C₂⁵	D₄²	1	3	yes	—
541	C₂⁵	D₄²	1	3	yes	—
542	C₂⁵	D₄²	1	3	yes	—
543	C₂⁵	#546	1	1	yes	characteristic
544	C₂⁵	#546	1	3	yes	—
545	C₂⁵	C₂³×D₄	1	4	yes	—
546	C₂⁵	C₂³×D₄	1	3	yes	—
547	C₂×#41	#392	1	24	yes	—
548	C₂×#41	#392	1	24	yes	—
549	C₂×#41	#392	1	48	yes	—
550	C₂×#41	#392	1	24	yes	—
551	C₂×#41	#392	1	24	yes	—
552	C₂×#41	#392	1	48	yes	—
553	C₂×#41	#392	1	48	yes	—
554	C₂×#41	#392	1	48	yes	—
555	C₂×#41	#392	1	48	yes	—
556	C₂×#41	#392	1	48	yes	—
557	C₂×#41	C₂×#120	1	24	yes	—
558	C₂×#41	C₂×#120	1	24	yes	—
559	C₂×#41	C₂×#120	1	24	yes	—
560	C₂×#41	C₂×#120	1	24	yes	—
561	C₂×#41	C₂×#120	1	24	yes	—
562	C₂×#41	C₂×#120	1	24	yes	—
563	C₂×#41	C₂×#120	1	24	yes	—
564	C₂×#41	C₂×#120	1	24	yes	—
565	C₂×#41	C₂×#120	1	24	yes	—
566	C₂×#41	C₂×#120	1	24	yes	—
567	C₂×#41	C₂×#120	1	24	yes	—
568	C₂×#41	C₂×#120	1	24	yes	—
569	C₂×#41	C₂×#121	1	24	yes	—
570	C₂×#41	C₂×#121	1	24	yes	—
571	C₂×#41	C₂×#121	1	24	yes	—
572	C₂×#41	C₂×#121	1	24	yes	—
573	C₂×#41	C₂×#121	1	24	yes	—
574	C₂×#41	C₂×#121	1	24	yes	—
575	C₂×#41	C₂×#121	1	24	yes	—
576	C₂×#41	C₂×#121	1	24	yes	—
577	C₂×#41	C₂×#121	1	24	yes	—
578	C₂×#41	C₂×#121	1	24	yes	—
579	C₂×#41	C₂×#127	1	24	yes	—
580	C₂×#41	C₂×#127	1	24	yes	—
581	C₂×#41	C₂×#127	1	24	yes	—
582	C₂×#41	C₂×#127	1	24	yes	—
583	C₂×#41	C₂³×D₄	1	8	yes	—
584	C₂×#41	C₂³×D₄	1	8	yes	—
585	C₂×#41	C₂³×D₄	1	8	yes	—
586	C₂×#41	C₂³×D₄	1	8	yes	—
587	C₂×#41	C₂³×D₄	1	8	yes	—
588	C₂×#41	C₂³×D₄	1	8	yes	—
589	C₂×#41	C₂³×D₄	1	8	yes	—
590	C₂×#41	C₂³×D₄	1	8	yes	—
591	C₂×#41	C₂³×D₄	1	8	yes	—
592	C₂×#41	C₂²×#41	1	8	yes	—
593	C₂²×Q₈	#392	1	4	yes	—
594	C₂²×Q₈	#392	1	12	yes	—
595	C₂²×Q₈	#392	1	12	yes	—
596	C₂²×Q₈	#392	1	12	yes	—
597	C₂²×Q₈	#392	1	24	yes	—
598	C₂²×Q₈	C₂×#120	1	12	yes	—
599	C₂²×Q₈	C₂×#120	1	12	yes	—
600	C₂²×Q₈	C₂×#120	1	12	yes	—
601	C₂²×Q₈	C₂×#120	1	12	yes	—
602	C₂²×Q₈	C₂×#120	1	12	yes	—
603	C₂²×Q₈	C₂×#120	1	12	yes	—
604	C₂²×Q₈	C₂×#120	1	12	yes	—
605	C₂²×Q₈	C₂×#120	1	12	yes	—
606	C₂²×Q₈	C₂×#120	1	12	yes	—
607	C₂²×Q₈	C₂×#121	1	12	yes	—
608	C₂²×Q₈	C₂×#121	1	12	yes	—
609	C₂²×Q₈	C₂³×D₄	1	4	yes	—
610	C₂²×Q₈	C₂³×D₄	1	4	yes	—
611	C₂²×Q₈	C₂³×D₄	1	4	yes	—
612	C₂²×Q₈	C₂³×D₄	1	4	yes	—
613	C₂²×Q₈	C₂³×D₄	1	4	yes	complemented
614	C₂²×D₄	#392	1	4	yes	—
615	C₂²×D₄	#392	1	12	yes	—
616	C₂²×D₄	#392	1	12	yes	—
617	C₂²×D₄	#392	1	12	yes	—
618	C₂²×D₄	#392	1	24	yes	—
619	C₂²×D₄	C₂×#120	1	24	yes	—
620	C₂²×D₄	C₂×#120	1	12	yes	—
621	C₂²×D₄	C₂×#120	1	12	yes	—
622	C₂²×D₄	C₂×#120	1	12	yes	—
623	C₂²×D₄	C₂×#120	1	12	yes	—
624	C₂²×D₄	C₂×#120	1	12	yes	—
625	C₂²×D₄	C₂×#120	1	12	yes	—
626	C₂²×D₄	C₂×#120	1	12	yes	—
627	C₂²×D₄	C₂×#120	1	12	yes	—
628	C₂²×D₄	C₂×#120	1	12	yes	—
629	C₂²×D₄	C₂×#121	1	12	yes	—
630	C₂²×D₄	C₂×#121	1	12	yes	—
631	C₂²×D₄	C₂³×D₄	1	4	yes	—
632	C₂²×D₄	C₂³×D₄	1	4	yes	—
633	C₂²×D₄	C₂³×D₄	1	4	yes	—
634	C₂²×D₄	C₂³×D₄	1	4	yes	—
635	C₂²×D₄	C₂³×D₄	1	8	yes	—
636	C₂²×D₄	C₂³×D₄	1	4	yes	complemented
637	C₂³×C₄	C₂×#120	1	12	yes	—
638	C₂³×C₄	C₂×#120	1	24	yes	—
639	C₂³×C₄	C₂×#120	1	6	yes	—
640	C₂³×C₄	C₂×#120	1	6	yes	—
641	C₂³×C₄	C₂×#120	1	12	yes	—
642	C₂³×C₄	C₂×#120	1	12	yes	—
643	C₂³×C₄	C₂×#120	1	12	yes	—
644	C₂³×C₄	C₂×#120	1	12	yes	—
645	C₂³×C₄	C₂×#120	1	12	yes	—
646	C₂³×C₄	C₂×#120	1	3	yes	—
647	C₂³×C₄	C₂×#120	1	3	yes	—
648	C₂³×C₄	C₂×#120	1	6	yes	—
649	C₂³×C₄	C₂×#120	1	3	yes	—
650	C₂³×C₄	C₂×#120	1	6	yes	—
651	C₂³×C₄	C₂×#120	1	3	yes	—
652	C₂³×C₄	C₂×#120	1	3	yes	—
653	C₂³×C₄	C₂×#120	1	6	yes	—
654	C₂³×C₄	C₂×#120	1	3	yes	—
655	C₂³×C₄	C₂×#120	1	3	yes	—
656	C₂³×C₄	C₂×#120	1	1	yes	characteristic
657	C₂³×C₄	C₂×#120	1	3	yes	—
658	C₂³×C₄	C₂×#120	1	6	yes	—
659	C₂³×C₄	C₂×#120	1	3	yes	—
660	C₂³×C₄	C₂×#120	1	1	yes	characteristic
661	C₂³×C₄	C₂×#120	1	3	yes	—
662	C₂³×C₄	C₂×#120	1	3	yes	—
663	C₂³×C₄	C₂×#120	1	3	yes	—
664	C₂³×C₄	C₂×#120	1	1	yes	characteristic
665	C₂³×C₄	C₂×#120	1	3	yes	—
666	C₂³×C₄	C₂×#120	1	3	yes	—
667	C₂³×C₄	C₂×#120	1	6	yes	—
668	C₂³×C₄	C₂×#120	1	6	yes	—
669	C₂³×C₄	C₂×#120	1	3	yes	—
670	C₂³×C₄	C₂×#120	1	3	yes	—
671	C₂³×C₄	C₂×#120	1	6	yes	—
672	C₂³×C₄	C₂×#120	1	3	yes	—
673	C₂³×C₄	C₂×#120	1	3	yes	—
674	C₂³×C₄	C₂×#120	1	1	yes	characteristic
675	C₂³×C₄	C₂×#120	1	1	yes	characteristic
676	C₂³×C₄	C₂×#120	1	3	yes	—
677	C₂³×C₄	C₂×#120	1	3	yes	—
678	C₂³×C₄	C₂×#120	1	3	yes	—
679	C₂³×C₄	C₂×#120	1	6	yes	—
680	C₂³×C₄	C₂×#120	1	3	yes	—
681	C₂³×C₄	C₂×#120	1	3	yes	—
682	C₂³×C₄	C₂×#120	1	6	yes	—
683	C₂³×C₄	C₂×#120	1	1	yes	characteristic
684	C₂³×C₄	C₂×#120	1	3	yes	—
685	C₂³×C₄	C₂×#121	1	1	yes	characteristic
686	C₂³×C₄	C₂×#121	1	3	yes	—
687	C₂³×C₄	C₂×#121	1	3	yes	—
688	C₂³×C₄	C₂×#121	1	3	yes	—
689	C₂³×C₄	C₂×#121	1	6	yes	—
690	C₂³×C₄	C₂×#121	1	1	yes	characteristic
691	C₂³×C₄	C₂×#121	1	3	yes	—
692	C₂³×C₄	C₂×#121	1	1	yes	characteristic
693	C₂³×C₄	C₂×#121	1	3	yes	—
694	C₂³×C₄	C₂×#121	1	3	yes	—
695	C₂³×C₄	C₂×#121	1	3	yes	—
696	C₂³×C₄	C₂×#121	1	6	yes	—
697	C₂³×C₄	C₂×#121	1	3	yes	—
698	C₂³×C₄	C₂×#121	1	3	yes	—
699	C₂³×C₄	C₂×#121	1	6	yes	—
700	C₂³×C₄	C₂×#127	1	3	yes	—
701	C₂³×C₄	C₂×#127	1	3	yes	—
702	C₂³×C₄	C₂×#127	1	6	yes	—
703	C₂³×C₄	C₂×#127	1	3	yes	—
704	C₂³×C₄	C₂×#127	1	1	yes	characteristic
705	C₂³×C₄	#534	1	1	yes	characteristic
706	C₂³×C₄	#534	1	3	yes	—
707	C₂³×C₄	#534	1	1	yes	characteristic
708	C₂³×C₄	#534	1	3	yes	—
709	C₂³×C₄	#534	1	3	yes	—
710	C₂³×C₄	#534	1	3	yes	—
711	C₂³×C₄	#534	1	6	yes	—
712	C₂³×C₄	#534	1	3	yes	—
713	C₂³×C₄	#534	1	3	yes	—
714	C₂³×C₄	#534	1	6	yes	—
715	C₂³×C₄	#534	1	1	yes	characteristic
716	C₂³×C₄	#534	1	3	yes	—
717	C₂³×C₄	#534	1	3	yes	—
718	C₂³×C₄	#534	1	3	yes	—
719	C₂³×C₄	#534	1	6	yes	—
720	C₂³×C₄	#534	1	3	yes	—
721	C₂³×C₄	#534	1	3	yes	—
722	C₂³×C₄	#534	1	6	yes	—
723	C₂³×C₄	#534	1	1	yes	characteristic
724	C₂³×C₄	#534	1	3	yes	—
725	C₂³×C₄	#535	1	1	yes	characteristic
726	C₂³×C₄	#535	1	3	yes	—
727	C₂³×C₄	#535	1	3	yes	—
728	C₂³×C₄	#535	1	3	yes	—
729	C₂³×C₄	#535	1	6	yes	—
730	C₂³×C₄	#535	1	3	yes	—
731	C₂³×C₄	#535	1	3	yes	—
732	C₂³×C₄	#535	1	3	yes	—
733	C₂³×C₄	#535	1	6	yes	—
734	C₂³×C₄	#535	1	1	yes	characteristic
735	C₂³×C₄	D₄²	1	3	yes	—
736	C₂³×C₄	D₄²	1	6	yes	—
737	C₂³×C₄	D₄²	1	3	yes	—
738	C₂³×C₄	D₄²	1	1	yes	characteristic
739	C₂³×C₄	D₄²	1	3	yes	—
740	C₂³×C₄	D₄²	1	3	yes	—
741	C₂³×C₄	D₄²	1	3	yes	—
742	C₂³×C₄	D₄²	1	6	yes	—
743	C₂³×C₄	D₄²	1	1	yes	characteristic
744	C₂³×C₄	D₄²	1	1	yes	characteristic
745	C₂³×C₄	D₄²	1	3	yes	—
746	C₂³×C₄	D₄²	1	3	yes	—
747	C₂³×C₄	D₄²	1	3	yes	—
748	C₂³×C₄	D₄²	1	3	yes	—
749	C₂³×C₄	D₄²	1	3	yes	—
750	C₂³×C₄	D₄²	1	6	yes	—
751	C₂³×C₄	D₄²	1	3	yes	—
752	C₂³×C₄	D₄²	1	6	yes	—
753	C₂³×C₄	D₄²	1	3	yes	—
754	C₂³×C₄	D₄²	1	3	yes	—
755	C₂³×C₄	D₄²	1	3	yes	—
756	C₂³×C₄	D₄²	1	6	yes	—
757	C₂³×C₄	D₄²	1	6	yes	—
758	C₂³×C₄	D₄²	1	3	yes	—
759	C₂³×C₄	D₄²	1	1	yes	characteristic
760	C₂³×C₄	D₄²	1	3	yes	—
761	C₂³×C₄	D₄²	1	3	yes	—
762	C₂³×C₄	D₄²	1	3	yes	—
763	C₂³×C₄	D₄²	1	3	yes	—
764	C₂³×C₄	D₄²	1	3	yes	—
765	C₂³×C₄	D₄²	1	6	yes	—
766	C₂³×C₄	D₄²	1	6	yes	—
767	C₂³×C₄	D₄²	1	1	yes	characteristic
768	C₂³×C₄	D₄²	1	3	yes	—
769	C₂³×C₄	D₄²	1	3	yes	—
770	C₂³×C₄	D₄²	1	3	yes	—
771	C₂³×C₄	D₄²	1	3	yes	—
772	C₂³×C₄	D₄²	1	3	yes	—
773	C₂³×C₄	D₄²	1	3	yes	—
774	C₂³×C₄	D₄²	1	3	yes	—
775	C₂³×C₄	D₄²	1	6	yes	—
776	C₂³×C₄	D₄²	1	6	yes	—
777	C₂³×C₄	D₄²	1	1	yes	characteristic
778	C₂³×C₄	D₄²	1	1	yes	characteristic
779	C₂³×C₄	D₄²	1	3	yes	—
780	C₂³×C₄	D₄²	1	3	yes	—
781	C₂³×C₄	D₄²	1	3	yes	—
782	C₂³×C₄	D₄²	1	6	yes	—
783	C₂³×C₄	D₄²	1	3	yes	—
784	C₂³×C₄	D₄²	1	6	yes	—
785	C₂³×C₄	D₄²	1	3	yes	—
786	C₂³×C₄	D₄²	1	3	yes	—
787	C₂³×C₄	D₄²	1	1	yes	characteristic
788	C₂³×C₄	D₄²	1	1	yes	characteristic
789	C₂³×C₄	#546	1	3	yes	—
790	C₂³×C₄	#546	1	3	yes	—
791	C₂³×C₄	#546	1	6	yes	—
792	C₂³×C₄	#546	1	1	yes	characteristic
793	C₂³×C₄	#546	1	3	yes	—
794	C₂³×C₄	#546	1	1	yes	characteristic
795	C₂³×C₄	#546	1	3	yes	—
796	C₂³×C₄	#546	1	3	yes	—
797	C₂³×C₄	#546	1	3	yes	—
798	C₂³×C₄	#546	1	6	yes	—
799	C₂³×C₄	#546	1	3	yes	—
800	C₂³×C₄	#546	1	3	yes	—
801	C₂³×C₄	#546	1	6	yes	—
802	C₂³×C₄	#546	1	1	yes	characteristic
803	C₂³×C₄	#546	1	3	yes	—
804	C₂³×C₄	#546	1	3	yes	—
805	C₂³×C₄	#546	1	3	yes	—
806	C₂³×C₄	#546	1	6	yes	—
807	C₂³×C₄	C₂³×D₄	1	8	yes	—
808	C₂³×C₄	C₂³×D₄	1	4	yes	—
809	C₂³×C₄	C₂³×D₄	1	4	yes	—
810	C₂³×C₄	C₂³×D₄	1	4	yes	—
811	C₂³×C₄	C₂³×D₄	1	4	yes	—
812	C₂³×C₄	C₂³×D₄	1	4	yes	—
813	C₂³×C₄	C₂³×D₄	1	3	yes	—
814	C₂³×C₄	C₂³×D₄	1	3	yes	—
815	C₂³×C₄	C₂³×D₄	1	3	yes	—
816	C₂³×C₄	C₂³×D₄	1	3	yes	—
817	C₂³×C₄	C₂³×D₄	1	3	yes	—
818	C₂³×C₄	C₂³×D₄	1	3	yes	—
819	C₂³×C₄	C₂³×D₄	1	3	yes	—
820	C₂³×C₄	C₂³×D₄	1	3	yes	—
821	C₂³×C₄	C₂³×D₄	1	3	yes	—
822	C₂³×C₄	C₂³×D₄	1	3	yes	—
823	C₂³×C₄	C₂³×D₄	1	3	yes	—
824	C₂³×C₄	C₂³×D₄	1	3	yes	—
825	C₂³×C₄	C₂³×D₄	1	3	yes	—
826	C₂³×C₄	C₂³×D₄	1	3	yes	—
827	C₂³×C₄	C₂³×D₄	1	3	yes	—
828	C₂³×C₄	C₂³×D₄	1	3	yes	—
829	C₂³×C₄	C₂³×D₄	1	3	yes	—
830	C₂³×C₄	C₂³×D₄	1	3	yes	—
831	C₂³×C₄	C₂³×D₄	1	3	yes	—
832	C₂³×C₄	C₂²×#41	1	3	yes	—
833	C₂³×C₄	C₂²×#41	1	3	yes	—
834	C₂³×C₄	C₂×H(5,𝔽₂)	1	3	yes	—
835	C₂³×C₄	C₂×H(5,𝔽₂)	1	3	yes	—
836	C₂³×C₄	C₂×H(5,𝔽₂)	1	3	yes	—
837	C₂³×C₄	C₂×H(5,𝔽₂)	1	3	yes	—
838	C₂³×C₄	C₂×H(5,𝔽₂)	1	3	yes	—
839	C₂³×C₄	C₂×H(5,𝔽₂)	1	3	yes	—
840	C₂³×C₄	C₂×H(5,𝔽₂)	1	3	yes	—
841	C₂³×C₄	C₂×H(5,𝔽₂)	1	3	yes	—
842	C₂³×C₄	C₂⁶	1	1	yes	characteristic
843	C₂×M₁₆	C₂³×D₄	1	8	yes	complemented
844	C₂×M₁₆	C₂³×D₄	1	8	yes	complemented
845	C₂²×C₈	C₂³×D₄	1	8	yes	complemented
846	#117	C₂×#120	1	24	yes	—
847	#117	C₂×#120	1	24	yes	—
848	#117	C₂×#120	1	24	yes	—
849	#117	C₂×#120	1	24	yes	—
850	#117	C₂³×D₄	1	8	yes	—
851	#117	C₂³×D₄	1	8	yes	—
852	#117	C₂³×D₄	1	8	yes	—
853	#117	C₂³×D₄	1	8	yes	—
854	#117	C₂³×D₄	1	8	yes	complemented
855	C₂×C₂²⋊C₄	C₂×#120	1	24	yes	—
856	C₂×C₂²⋊C₄	C₂×#120	1	24	yes	—
857	C₂×C₂²⋊C₄	C₂³×D₄	1	8	yes	—
858	C₂×C₄²	C₂×#120	1	24	yes	—
859	C₂×C₄²	C₂×#120	1	24	yes	—
860	C₂×C₄²	C₂³×D₄	1	8	yes	—
861	C₂×C₄²	C₂³×D₄	1	8	yes	complemented
862	C₂⁴	#2403	1	1	yes	characteristic
863	C₂⁴	#2403	1	1	yes	characteristic
864	C₂⁴	#2403	1	3	yes	—
865	C₂⁴	#2403	1	3	yes	—
866	C₂⁴	#2403	1	3	yes	—
867	C₂⁴	#2403	1	3	yes	—
868	C₂⁴	#2403	1	3	yes	—
869	C₂⁴	#2403	1	3	yes	—
870	C₂⁴	#2403	1	6	yes	—
871	C₂⁴	#2403	1	6	yes	—
872	C₂⁴	#2408	1	1	yes	characteristic
873	C₂⁴	#2408	1	3	yes	—
874	C₂⁴	#2408	1	3	yes	—
875	C₂⁴	#2408	1	3	yes	—
876	C₂⁴	#2408	1	6	yes	—
877	C₂⁴	#2410	1	1	yes	characteristic
878	C₂⁴	#2410	1	1	yes	characteristic
879	C₂⁴	#2410	1	3	yes	—
880	C₂⁴	#2410	1	3	yes	—
881	C₂⁴	#2410	1	3	yes	—
882	C₂⁴	#2410	1	3	yes	—
883	C₂⁴	#2410	1	3	yes	—
884	C₂⁴	#2410	1	3	yes	—
885	C₂⁴	#2410	1	6	yes	—
886	C₂⁴	#2410	1	6	yes	—
887	C₂⁴	#2433	1	1	yes	characteristic
888	C₂⁴	#2433	1	3	yes	—
889	C₂⁴	#2433	1	3	yes	—
890	C₂⁴	#2433	1	3	yes	—
891	C₂⁴	#2433	1	6	yes	—
892	C₂⁴	#2846	1	1	yes	characteristic
893	C₂⁴	#2846	1	3	yes	—
894	C₂⁴	#2846	1	3	yes	—
895	C₂⁴	#2846	1	3	yes	—
896	C₂⁴	#2846	1	6	yes	—
897	C₂⁴	C₂²×#120	1	4	yes	—
898	C₂⁴	C₂²×#120	1	8	yes	—
899	C₂⁴	C₂²×#120	1	4	yes	—
900	C₂⁴	C₂²×#120	1	3	yes	—
901	C₂⁴	C₂²×#120	1	3	yes	—
902	C₂⁴	C₂²×#120	1	3	yes	—
903	C₂⁴	C₂²×#120	1	3	yes	—
904	C₂⁴	C₂²×#120	1	3	yes	—
905	C₂⁴	C₂²×#120	1	3	yes	—
906	C₂⁴	C₂×D₄²	1	3	yes	—
907	C₂⁴	C₂×D₄²	1	3	yes	—
908	C₂⁴	C₂×D₄²	1	3	yes	—
909	C₂⁴	C₂×D₄²	1	3	yes	—
910	C₂⁴	C₂×D₄²	1	3	yes	—
911	C₂⁴	C₂×D₄²	1	3	yes	—
912	C₂⁴	C₂×#546	1	3	yes	—
913	C₂⁴	C₂×#546	1	3	yes	—
914	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
915	#41	C₂×#392	1	48	yes	—
916	#41	C₂×#392	1	48	yes	—
917	#41	C₂×#392	1	48	yes	—
918	#41	C₂×#392	1	48	yes	—
919	#41	C₂²×#120	1	16	yes	—
920	#41	C₂²×#121	1	16	yes	—
921	#41	C₂²×#121	1	16	yes	—
922	#41	C₂²×#127	1	16	yes	—
923	C₂×Q₈	C₂×#392	1	24	yes	—
924	C₂×Q₈	C₂×#392	1	24	yes	—
925	C₂×Q₈	C₂×#392	1	24	yes	—
926	C₂×Q₈	C₂×#392	1	24	yes	—
927	C₂×Q₈	C₂²×#120	1	8	yes	—
928	C₂×Q₈	C₂²×#120	1	8	yes	—
929	C₂×Q₈	C₂²×#120	1	8	yes	—
930	C₂×Q₈	C₂²×#120	1	8	yes	—
931	C₂×Q₈	C₂²×#121	1	8	yes	—
932	C₂×D₄	C₂×#392	1	24	yes	—
933	C₂×D₄	C₂×#392	1	24	yes	—
934	C₂×D₄	C₂×#392	1	24	yes	—
935	C₂×D₄	C₂×#392	1	24	yes	—
936	C₂×D₄	C₂²×#120	1	8	yes	—
937	C₂×D₄	C₂²×#120	1	8	yes	—
938	C₂×D₄	C₂²×#120	1	8	yes	—
939	C₂×D₄	C₂²×#120	1	8	yes	—
940	C₂×D₄	C₂²×#121	1	8	yes	—
941	C₂²×C₄	C₂×#392	1	1	yes	characteristic
942	C₂²×C₄	C₂×#392	1	3	yes	—
943	C₂²×C₄	C₂×#392	1	3	yes	—
944	C₂²×C₄	C₂×#392	1	3	yes	—
945	C₂²×C₄	C₂×#392	1	6	yes	—
946	C₂²×C₄	C₂×#392	1	3	yes	—
947	C₂²×C₄	C₂×#392	1	3	yes	—
948	C₂²×C₄	C₂×#392	1	6	yes	—
949	C₂²×C₄	C₂×#392	1	3	yes	—
950	C₂²×C₄	C₂×#392	1	3	yes	—
951	C₂²×C₄	C₂×#392	1	6	yes	—
952	C₂²×C₄	C₂×#392	1	6	yes	—
953	C₂²×C₄	C₂×#392	1	6	yes	—
954	C₂²×C₄	C₂×#392	1	6	yes	—
955	C₂²×C₄	C₂×#392	1	6	yes	—
956	C₂²×C₄	#2403	1	1	yes	characteristic
957	C₂²×C₄	#2403	1	3	yes	—
958	C₂²×C₄	#2403	1	1	yes	characteristic
959	C₂²×C₄	#2403	1	3	yes	—
960	C₂²×C₄	#2403	1	3	yes	—
961	C₂²×C₄	#2403	1	3	yes	—
962	C₂²×C₄	#2403	1	3	yes	—
963	C₂²×C₄	#2403	1	3	yes	—
964	C₂²×C₄	#2403	1	6	yes	—
965	C₂²×C₄	#2403	1	6	yes	—
966	C₂²×C₄	#2403	1	3	yes	—
967	C₂²×C₄	#2403	1	3	yes	—
968	C₂²×C₄	#2403	1	6	yes	—
969	C₂²×C₄	#2403	1	3	yes	—
970	C₂²×C₄	#2403	1	3	yes	—
971	C₂²×C₄	#2403	1	6	yes	—
972	C₂²×C₄	#2403	1	3	yes	—
973	C₂²×C₄	#2403	1	6	yes	—
974	C₂²×C₄	#2403	1	3	yes	—
975	C₂²×C₄	#2403	1	6	yes	—
976	C₂²×C₄	#2403	1	3	yes	—
977	C₂²×C₄	#2403	1	3	yes	—
978	C₂²×C₄	#2403	1	6	yes	—
979	C₂²×C₄	#2403	1	6	yes	—
980	C₂²×C₄	#2403	1	6	yes	—
981	C₂²×C₄	#2403	1	6	yes	—
982	C₂²×C₄	#2403	1	6	yes	—
983	C₂²×C₄	#2403	1	6	yes	—
984	C₂²×C₄	#2403	1	6	yes	—
985	C₂²×C₄	#2403	1	6	yes	—
986	C₂²×C₄	#2403	1	3	yes	—
987	C₂²×C₄	#2403	1	3	yes	—
988	C₂²×C₄	#2403	1	3	yes	—
989	C₂²×C₄	#2403	1	6	yes	—
990	C₂²×C₄	#2403	1	3	yes	—
991	C₂²×C₄	#2403	1	6	yes	—
992	C₂²×C₄	#2403	1	3	yes	—
993	C₂²×C₄	#2403	1	3	yes	—
994	C₂²×C₄	#2403	1	3	yes	—
995	C₂²×C₄	#2403	1	6	yes	—
996	C₂²×C₄	#2403	1	3	yes	—
997	C₂²×C₄	#2403	1	6	yes	—
998	C₂²×C₄	#2403	1	6	yes	—
999	C₂²×C₄	#2403	1	6	yes	—
1000	C₂²×C₄	#2403	1	6	yes	—
1001	C₂²×C₄	#2403	1	6	yes	—
1002	C₂²×C₄	#2403	1	6	yes	—
1003	C₂²×C₄	#2403	1	6	yes	—
1004	C₂²×C₄	#2403	1	6	yes	—
1005	C₂²×C₄	#2403	1	6	yes	—
1006	C₂²×C₄	#2408	1	1	yes	characteristic
1007	C₂²×C₄	#2408	1	3	yes	—
1008	C₂²×C₄	#2408	1	3	yes	—
1009	C₂²×C₄	#2408	1	3	yes	—
1010	C₂²×C₄	#2408	1	6	yes	—
1011	C₂²×C₄	#2408	1	3	yes	—
1012	C₂²×C₄	#2408	1	3	yes	—
1013	C₂²×C₄	#2408	1	3	yes	—
1014	C₂²×C₄	#2408	1	3	yes	—
1015	C₂²×C₄	#2408	1	6	yes	—
1016	C₂²×C₄	#2408	1	6	yes	—
1017	C₂²×C₄	#2408	1	6	yes	—
1018	C₂²×C₄	#2408	1	6	yes	—
1019	C₂²×C₄	#2408	1	6	yes	—
1020	C₂²×C₄	#2408	1	6	yes	—
1021	C₂²×C₄	#2408	1	3	yes	—
1022	C₂²×C₄	#2408	1	3	yes	—
1023	C₂²×C₄	#2408	1	3	yes	—
1024	C₂²×C₄	#2408	1	6	yes	—
1025	C₂²×C₄	#2408	1	6	yes	—
1026	C₂²×C₄	#2408	1	3	yes	—
1027	C₂²×C₄	#2408	1	6	yes	—
1028	C₂²×C₄	#2408	1	6	yes	—
1029	C₂²×C₄	#2408	1	6	yes	—
1030	C₂²×C₄	#2408	1	6	yes	—
1031	C₂²×C₄	#2410	1	1	yes	characteristic
1032	C₂²×C₄	#2410	1	3	yes	—
1033	C₂²×C₄	#2410	1	3	yes	—
1034	C₂²×C₄	#2410	1	3	yes	—
1035	C₂²×C₄	#2410	1	6	yes	—
1036	C₂²×C₄	#2410	1	1	yes	characteristic
1037	C₂²×C₄	#2410	1	3	yes	—
1038	C₂²×C₄	#2410	1	3	yes	—
1039	C₂²×C₄	#2410	1	3	yes	—
1040	C₂²×C₄	#2410	1	6	yes	—
1041	C₂²×C₄	#2410	1	3	yes	—
1042	C₂²×C₄	#2410	1	3	yes	—
1043	C₂²×C₄	#2410	1	3	yes	—
1044	C₂²×C₄	#2410	1	3	yes	—
1045	C₂²×C₄	#2410	1	6	yes	—
1046	C₂²×C₄	#2410	1	6	yes	—
1047	C₂²×C₄	#2410	1	3	yes	—
1048	C₂²×C₄	#2410	1	6	yes	—
1049	C₂²×C₄	#2410	1	3	yes	—
1050	C₂²×C₄	#2410	1	6	yes	—
1051	C₂²×C₄	#2410	1	3	yes	—
1052	C₂²×C₄	#2410	1	6	yes	—
1053	C₂²×C₄	#2410	1	3	yes	—
1054	C₂²×C₄	#2410	1	6	yes	—
1055	C₂²×C₄	#2410	1	6	yes	—
1056	C₂²×C₄	#2410	1	6	yes	—
1057	C₂²×C₄	#2410	1	6	yes	—
1058	C₂²×C₄	#2410	1	6	yes	—
1059	C₂²×C₄	#2410	1	6	yes	—
1060	C₂²×C₄	#2410	1	6	yes	—
1061	C₂²×C₄	#2410	1	3	yes	—
1062	C₂²×C₄	#2410	1	3	yes	—
1063	C₂²×C₄	#2410	1	6	yes	—
1064	C₂²×C₄	#2410	1	3	yes	—
1065	C₂²×C₄	#2410	1	3	yes	—
1066	C₂²×C₄	#2410	1	6	yes	—
1067	C₂²×C₄	#2410	1	3	yes	—
1068	C₂²×C₄	#2410	1	3	yes	—
1069	C₂²×C₄	#2410	1	6	yes	—
1070	C₂²×C₄	#2410	1	6	yes	—
1071	C₂²×C₄	#2410	1	6	yes	—
1072	C₂²×C₄	#2410	1	6	yes	—
1073	C₂²×C₄	#2410	1	6	yes	—
1074	C₂²×C₄	#2410	1	3	yes	—
1075	C₂²×C₄	#2410	1	3	yes	—
1076	C₂²×C₄	#2410	1	6	yes	—
1077	C₂²×C₄	#2410	1	6	yes	—
1078	C₂²×C₄	#2410	1	6	yes	—
1079	C₂²×C₄	#2410	1	6	yes	—
1080	C₂²×C₄	#2410	1	6	yes	—
1081	C₂²×C₄	#2433	1	3	yes	—
1082	C₂²×C₄	#2433	1	3	yes	—
1083	C₂²×C₄	#2433	1	3	yes	—
1084	C₂²×C₄	#2433	1	6	yes	—
1085	C₂²×C₄	#2433	1	3	yes	—
1086	C₂²×C₄	#2433	1	3	yes	—
1087	C₂²×C₄	#2433	1	6	yes	—
1088	C₂²×C₄	#2433	1	3	yes	—
1089	C₂²×C₄	#2433	1	3	yes	—
1090	C₂²×C₄	#2433	1	6	yes	—
1091	C₂²×C₄	#2433	1	6	yes	—
1092	C₂²×C₄	#2433	1	6	yes	—
1093	C₂²×C₄	#2433	1	6	yes	—
1094	C₂²×C₄	#2433	1	6	yes	—
1095	C₂²×C₄	#2433	1	3	yes	—
1096	C₂²×C₄	#2433	1	3	yes	—
1097	C₂²×C₄	#2433	1	6	yes	—
1098	C₂²×C₄	#2433	1	3	yes	—
1099	C₂²×C₄	#2433	1	3	yes	—
1100	C₂²×C₄	#2433	1	6	yes	—
1101	C₂²×C₄	#2433	1	6	yes	—
1102	C₂²×C₄	#2433	1	6	yes	—
1103	C₂²×C₄	#2433	1	6	yes	—
1104	C₂²×C₄	#2433	1	6	yes	—
1105	C₂²×C₄	#2433	1	1	yes	characteristic
1106	C₂²×C₄	#2613	1	1	yes	characteristic
1107	C₂²×C₄	#2613	1	3	yes	—
1108	C₂²×C₄	#2613	1	3	yes	—
1109	C₂²×C₄	#2613	1	3	yes	—
1110	C₂²×C₄	#2613	1	6	yes	—
1111	C₂²×C₄	#2613	1	3	yes	—
1112	C₂²×C₄	#2613	1	3	yes	—
1113	C₂²×C₄	#2613	1	6	yes	—
1114	C₂²×C₄	#2613	1	3	yes	—
1115	C₂²×C₄	#2613	1	6	yes	—
1116	C₂²×C₄	#2613	1	3	yes	—
1117	C₂²×C₄	#2613	1	6	yes	—
1118	C₂²×C₄	#2613	1	6	yes	—
1119	C₂²×C₄	#2613	1	6	yes	—
1120	C₂²×C₄	#2613	1	6	yes	—
1121	C₂²×C₄	#2846	1	3	yes	—
1122	C₂²×C₄	#2846	1	3	yes	—
1123	C₂²×C₄	#2846	1	3	yes	—
1124	C₂²×C₄	#2846	1	6	yes	—
1125	C₂²×C₄	#2846	1	6	yes	—
1126	C₂²×C₄	#2846	1	3	yes	—
1127	C₂²×C₄	#2846	1	6	yes	—
1128	C₂²×C₄	#2846	1	6	yes	—
1129	C₂²×C₄	#2846	1	6	yes	—
1130	C₂²×C₄	#2846	1	6	yes	—
1131	C₂²×C₄	C₂²×#120	1	8	yes	—
1132	C₂²×C₄	C₂²×#120	1	4	yes	—
1133	C₂²×C₄	C₂²×#120	1	4	yes	—
1134	C₂²×C₄	C₂²×#120	1	3	yes	—
1135	C₂²×C₄	C₂²×#120	1	3	yes	—
1136	C₂²×C₄	C₂²×#120	1	3	yes	—
1137	C₂²×C₄	C₂²×#120	1	3	yes	—
1138	C₂²×C₄	C₂²×#120	1	3	yes	—
1139	C₂²×C₄	C₂²×#120	1	3	yes	—
1140	C₂²×C₄	C₂²×#120	1	3	yes	—
1141	C₂²×C₄	C₂²×#120	1	3	yes	—
1142	C₂²×C₄	C₂²×#120	1	3	yes	—
1143	C₂²×C₄	C₂²×#120	1	3	yes	—
1144	C₂²×C₄	C₂²×#120	1	3	yes	—
1145	C₂²×C₄	C₂²×#120	1	3	yes	—
1146	C₂²×C₄	C₂²×#120	1	3	yes	—
1147	C₂²×C₄	C₂²×#120	1	3	yes	—
1148	C₂²×C₄	C₂²×#120	1	3	yes	—
1149	C₂²×C₄	C₂²×#120	1	3	yes	—
1150	C₂²×C₄	C₂²×#120	1	3	yes	—
1151	C₂²×C₄	C₂²×#120	1	3	yes	—
1152	C₂²×C₄	C₂²×#120	1	3	yes	—
1153	C₂²×C₄	C₂²×#120	1	3	yes	—
1154	C₂²×C₄	C₂²×#120	1	3	yes	—
1155	C₂²×C₄	C₂²×#120	1	3	yes	—
1156	C₂²×C₄	C₂²×#120	1	3	yes	—
1157	C₂²×C₄	C₂²×#120	1	3	yes	—
1158	C₂²×C₄	C₂²×#120	1	3	yes	—
1159	C₂²×C₄	C₂²×#120	1	3	yes	—
1160	C₂²×C₄	C₂²×#120	1	3	yes	—
1161	C₂²×C₄	C₂²×#120	1	3	yes	—
1162	C₂²×C₄	C₂²×#120	1	3	yes	—
1163	C₂²×C₄	C₂²×#120	1	3	yes	—
1164	C₂²×C₄	C₂²×#121	1	3	yes	—
1165	C₂²×C₄	C₂²×#121	1	3	yes	—
1166	C₂²×C₄	C₂²×#121	1	3	yes	—
1167	C₂²×C₄	C₂²×#121	1	3	yes	—
1168	C₂²×C₄	C₂²×#121	1	3	yes	—
1169	C₂²×C₄	C₂²×#121	1	3	yes	—
1170	C₂²×C₄	C₂²×#121	1	3	yes	—
1171	C₂²×C₄	C₂²×#121	1	3	yes	—
1172	C₂²×C₄	C₂²×#121	1	3	yes	—
1173	C₂²×C₄	C₂²×#121	1	3	yes	—
1174	C₂²×C₄	C₂²×#121	1	3	yes	—
1175	C₂²×C₄	C₂²×#121	1	3	yes	—
1176	C₂²×C₄	C₂²×#127	1	3	yes	—
1177	C₂²×C₄	C₂²×#127	1	3	yes	—
1178	C₂²×C₄	C₂²×#127	1	3	yes	—
1179	C₂²×C₄	C₂²×#127	1	3	yes	—
1180	C₂²×C₄	C₂×#534	1	3	yes	—
1181	C₂²×C₄	C₂×#534	1	3	yes	—
1182	C₂²×C₄	C₂×#534	1	3	yes	—
1183	C₂²×C₄	C₂×#534	1	3	yes	—
1184	C₂²×C₄	C₂×#534	1	3	yes	—
1185	C₂²×C₄	C₂×#534	1	3	yes	—
1186	C₂²×C₄	C₂×#534	1	3	yes	—
1187	C₂²×C₄	C₂×#534	1	3	yes	—
1188	C₂²×C₄	C₂×#534	1	3	yes	—
1189	C₂²×C₄	C₂×#534	1	3	yes	—
1190	C₂²×C₄	C₂×#534	1	3	yes	—
1191	C₂²×C₄	C₂×#534	1	3	yes	—
1192	C₂²×C₄	C₂×#534	1	3	yes	—
1193	C₂²×C₄	C₂×#534	1	3	yes	—
1194	C₂²×C₄	C₂×#534	1	3	yes	—
1195	C₂²×C₄	C₂×#534	1	3	yes	—
1196	C₂²×C₄	C₂×#535	1	3	yes	—
1197	C₂²×C₄	C₂×#535	1	3	yes	—
1198	C₂²×C₄	C₂×#535	1	3	yes	—
1199	C₂²×C₄	C₂×#535	1	3	yes	—
1200	C₂²×C₄	C₂×#535	1	3	yes	—
1201	C₂²×C₄	C₂×#535	1	3	yes	—
1202	C₂²×C₄	C₂×#535	1	3	yes	—
1203	C₂²×C₄	C₂×#535	1	3	yes	—
1204	C₂²×C₄	C₂×D₄²	1	3	yes	—
1205	C₂²×C₄	C₂×D₄²	1	3	yes	—
1206	C₂²×C₄	C₂×D₄²	1	3	yes	—
1207	C₂²×C₄	C₂×D₄²	1	3	yes	—
1208	C₂²×C₄	C₂×D₄²	1	3	yes	—
1209	C₂²×C₄	C₂×D₄²	1	3	yes	—
1210	C₂²×C₄	C₂×D₄²	1	3	yes	—
1211	C₂²×C₄	C₂×D₄²	1	3	yes	—
1212	C₂²×C₄	C₂×D₄²	1	3	yes	—
1213	C₂²×C₄	C₂×D₄²	1	3	yes	—
1214	C₂²×C₄	C₂×D₄²	1	3	yes	—
1215	C₂²×C₄	C₂×D₄²	1	3	yes	—
1216	C₂²×C₄	C₂×D₄²	1	3	yes	—
1217	C₂²×C₄	C₂×D₄²	1	3	yes	—
1218	C₂²×C₄	C₂×D₄²	1	3	yes	—
1219	C₂²×C₄	C₂×D₄²	1	3	yes	—
1220	C₂²×C₄	C₂×D₄²	1	3	yes	—
1221	C₂²×C₄	C₂×D₄²	1	3	yes	—
1222	C₂²×C₄	C₂×D₄²	1	3	yes	—
1223	C₂²×C₄	C₂×D₄²	1	3	yes	—
1224	C₂²×C₄	C₂×D₄²	1	3	yes	—
1225	C₂²×C₄	C₂×D₄²	1	3	yes	—
1226	C₂²×C₄	C₂×D₄²	1	3	yes	—
1227	C₂²×C₄	C₂×D₄²	1	3	yes	—
1228	C₂²×C₄	C₂×D₄²	1	3	yes	—
1229	C₂²×C₄	C₂×D₄²	1	3	yes	—
1230	C₂²×C₄	C₂×D₄²	1	3	yes	—
1231	C₂²×C₄	C₂×D₄²	1	3	yes	—
1232	C₂²×C₄	C₂×D₄²	1	3	yes	—
1233	C₂²×C₄	C₂×D₄²	1	3	yes	—
1234	C₂²×C₄	C₂×D₄²	1	3	yes	—
1235	C₂²×C₄	C₂×D₄²	1	3	yes	—
1236	C₂²×C₄	C₂×D₄²	1	3	yes	—
1237	C₂²×C₄	C₂×D₄²	1	3	yes	—
1238	C₂²×C₄	C₂×D₄²	1	3	yes	—
1239	C₂²×C₄	C₂×D₄²	1	3	yes	—
1240	C₂²×C₄	C₂×D₄²	1	3	yes	—
1241	C₂²×C₄	C₂×D₄²	1	3	yes	—
1242	C₂²×C₄	C₂×D₄²	1	3	yes	—
1243	C₂²×C₄	C₂×D₄²	1	3	yes	—
1244	C₂²×C₄	C₂×D₄²	1	3	yes	—
1245	C₂²×C₄	C₂×D₄²	1	3	yes	—
1246	C₂²×C₄	C₂×#546	1	3	yes	—
1247	C₂²×C₄	C₂×#546	1	3	yes	—
1248	C₂²×C₄	C₂×#546	1	3	yes	—
1249	C₂²×C₄	C₂×#546	1	3	yes	—
1250	C₂²×C₄	C₂×#546	1	3	yes	—
1251	C₂²×C₄	C₂×#546	1	3	yes	—
1252	C₂²×C₄	C₂×#546	1	3	yes	—
1253	C₂²×C₄	C₂×#546	1	3	yes	—
1254	C₂²×C₄	C₂×#546	1	3	yes	—
1255	C₂²×C₄	C₂×#546	1	3	yes	—
1256	C₂²×C₄	C₂×#546	1	3	yes	—
1257	C₂²×C₄	C₂×#546	1	3	yes	—
1258	C₂²×C₄	C₂×#546	1	3	yes	—
1259	C₂²×C₄	C₂×#546	1	3	yes	—
1260	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1261	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1262	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1263	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1264	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1265	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1266	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1267	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1268	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1269	C₂²×C₄	C₂³×#41	1	1	yes	characteristic
1270	C₂²×C₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1271	C₂²×C₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1272	C₂²×C₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1273	C₂²×C₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1274	C₂²⋊C₄	C₂²×#120	1	16	yes	—
1275	C₄²	C₂²×#120	1	16	yes	—
1276	C₂³	#14715	1	3	yes	—
1277	C₂³	#14715	1	3	yes	—
1278	C₂³	#14715	1	3	yes	—
1279	C₂³	#14715	1	3	yes	—
1280	C₂³	#14715	1	3	yes	—
1281	C₂³	#14715	1	3	yes	—
1282	C₂³	#14715	1	3	yes	—
1283	C₂³	#14715	1	6	yes	—
1284	C₂³	#14715	1	6	yes	—
1285	C₂³	#14715	1	6	yes	—
1286	C₂³	#14715	1	6	yes	—
1287	C₂³	#14715	1	6	yes	—
1288	C₂³	#14715	1	6	yes	—
1289	C₂³	#14715	1	6	yes	—
1290	C₂³	#14715	1	1	yes	characteristic
1291	C₂³	C₂×#2403	1	3	yes	—
1292	C₂³	C₂×#2403	1	3	yes	—
1293	C₂³	C₂×#2403	1	3	yes	—
1294	C₂³	C₂×#2403	1	3	yes	—
1295	C₂³	C₂×#2403	1	3	yes	—
1296	C₂³	C₂×#2403	1	3	yes	—
1297	C₂³	C₂×#2403	1	3	yes	—
1298	C₂³	C₂×#2403	1	3	yes	—
1299	C₂³	C₂×#2410	1	3	yes	—
1300	C₂³	C₂×#2410	1	3	yes	—
1301	C₂³	C₂×#2410	1	3	yes	—
1302	C₂³	C₂×#2410	1	3	yes	—
1303	C₂³	C₂×#2410	1	3	yes	—
1304	C₂³	C₂×#2410	1	3	yes	—
1305	C₂³	C₂×#2410	1	3	yes	—
1306	C₂³	C₂×#2410	1	3	yes	—
1307	C₂³	C₂×#2408	1	3	yes	—
1308	C₂³	C₂×#2408	1	3	yes	—
1309	C₂³	C₂×#2408	1	3	yes	—
1310	C₂³	C₂×#2408	1	3	yes	—
1311	C₂³	C₂×#2433	1	3	yes	—
1312	C₂³	C₂×#2433	1	3	yes	—
1313	C₂³	C₂×#2433	1	3	yes	—
1314	C₂³	C₂×#2433	1	3	yes	—
1315	C₂³	C₂×#2846	1	3	yes	—
1316	C₂³	C₂×#2846	1	3	yes	—
1317	C₂³	C₂×#2846	1	3	yes	—
1318	C₂³	C₂×#2846	1	3	yes	—
1319	C₂³	C₂³×#120	1	1	yes	characteristic
1320	C₂³	C₂³×#120	1	1	yes	characteristic
1321	C₂³	C₂³×#120	1	1	yes	characteristic
1322	C₂³	C₂²×D₄²	1	1	yes	characteristic
1323	C₂³	C₂²×D₄²	1	1	yes	characteristic
1324	C₂³	C₂²×D₄²	1	1	yes	characteristic
1325	C₂³	C₂²×#546	1	1	yes	characteristic
1326	Q₈	C₂²×#392	1	16	yes	—
1327	D₄	C₂²×#392	1	16	yes	—
1328	C₂×C₄	#14715	1	3	yes	—
1329	C₂×C₄	#14715	1	3	yes	—
1330	C₂×C₄	#14715	1	6	yes	—
1331	C₂×C₄	#14715	1	3	yes	—
1332	C₂×C₄	#14715	1	6	yes	—
1333	C₂×C₄	#14715	1	3	yes	—
1334	C₂×C₄	#14715	1	6	yes	—
1335	C₂×C₄	#14715	1	6	yes	—
1336	C₂×C₄	#14715	1	6	yes	—
1337	C₂×C₄	#14715	1	6	yes	—
1338	C₂×C₄	#14715	1	3	yes	—
1339	C₂×C₄	#14715	1	3	yes	—
1340	C₂×C₄	#14715	1	6	yes	—
1341	C₂×C₄	#14715	1	6	yes	—
1342	C₂×C₄	#14715	1	3	yes	—
1343	C₂×C₄	#14715	1	3	yes	—
1344	C₂×C₄	#14715	1	6	yes	—
1345	C₂×C₄	#14715	1	6	yes	—
1346	C₂×C₄	#14715	1	6	yes	—
1347	C₂×C₄	#14715	1	6	yes	—
1348	C₂×C₄	#14715	1	6	yes	—
1349	C₂×C₄	#14715	1	6	yes	—
1350	C₂×C₄	#14715	1	6	yes	—
1351	C₂×C₄	#14715	1	6	yes	—
1352	C₂×C₄	#14715	1	6	yes	—
1353	C₂×C₄	#14715	1	6	yes	—
1354	C₂×C₄	#14715	1	6	yes	—
1355	C₂×C₄	#14715	1	6	yes	—
1356	C₂×C₄	#14715	1	6	yes	—
1357	C₂×C₄	#14715	1	6	yes	—
1358	C₂×C₄	#14715	1	6	yes	—
1359	C₂×C₄	#14715	1	6	yes	—
1360	C₂×C₄	#14715	1	6	yes	—
1361	C₂×C₄	#14715	1	6	yes	—
1362	C₂×C₄	#14715	1	6	yes	—
1363	C₂×C₄	#14715	1	6	yes	—
1364	C₂×C₄	C₂²×#392	1	3	yes	—
1365	C₂×C₄	C₂²×#392	1	3	yes	—
1366	C₂×C₄	C₂²×#392	1	3	yes	—
1367	C₂×C₄	C₂²×#392	1	3	yes	—
1368	C₂×C₄	C₂²×#392	1	3	yes	—
1369	C₂×C₄	C₂²×#392	1	3	yes	—
1370	C₂×C₄	C₂²×#392	1	3	yes	—
1371	C₂×C₄	C₂²×#392	1	3	yes	—
1372	C₂×C₄	C₂×#2613	1	3	yes	—
1373	C₂×C₄	C₂×#2613	1	3	yes	—
1374	C₂×C₄	C₂×#2613	1	3	yes	—
1375	C₂×C₄	C₂×#2613	1	3	yes	—
1376	C₂×C₄	C₂×#2613	1	3	yes	—
1377	C₂×C₄	C₂×#2613	1	3	yes	—
1378	C₂×C₄	C₂×#2613	1	3	yes	—
1379	C₂×C₄	C₂×#2613	1	3	yes	—
1380	C₂×C₄	C₂×#2403	1	3	yes	—
1381	C₂×C₄	C₂×#2403	1	3	yes	—
1382	C₂×C₄	C₂×#2403	1	3	yes	—
1383	C₂×C₄	C₂×#2403	1	3	yes	—
1384	C₂×C₄	C₂×#2403	1	3	yes	—
1385	C₂×C₄	C₂×#2403	1	3	yes	—
1386	C₂×C₄	C₂×#2403	1	3	yes	—
1387	C₂×C₄	C₂×#2403	1	3	yes	—
1388	C₂×C₄	C₂×#2403	1	3	yes	—
1389	C₂×C₄	C₂×#2403	1	3	yes	—
1390	C₂×C₄	C₂×#2403	1	3	yes	—
1391	C₂×C₄	C₂×#2403	1	3	yes	—
1392	C₂×C₄	C₂×#2403	1	3	yes	—
1393	C₂×C₄	C₂×#2403	1	3	yes	—
1394	C₂×C₄	C₂×#2403	1	3	yes	—
1395	C₂×C₄	C₂×#2403	1	3	yes	—
1396	C₂×C₄	C₂×#2403	1	3	yes	—
1397	C₂×C₄	C₂×#2403	1	3	yes	—
1398	C₂×C₄	C₂×#2403	1	3	yes	—
1399	C₂×C₄	C₂×#2403	1	3	yes	—
1400	C₂×C₄	C₂×#2403	1	3	yes	—
1401	C₂×C₄	C₂×#2403	1	3	yes	—
1402	C₂×C₄	C₂×#2403	1	3	yes	—
1403	C₂×C₄	C₂×#2403	1	3	yes	—
1404	C₂×C₄	C₂×#2410	1	3	yes	—
1405	C₂×C₄	C₂×#2410	1	3	yes	—
1406	C₂×C₄	C₂×#2410	1	3	yes	—
1407	C₂×C₄	C₂×#2410	1	3	yes	—
1408	C₂×C₄	C₂×#2410	1	3	yes	—
1409	C₂×C₄	C₂×#2410	1	3	yes	—
1410	C₂×C₄	C₂×#2410	1	3	yes	—
1411	C₂×C₄	C₂×#2410	1	3	yes	—
1412	C₂×C₄	C₂×#2410	1	3	yes	—
1413	C₂×C₄	C₂×#2410	1	3	yes	—
1414	C₂×C₄	C₂×#2410	1	3	yes	—
1415	C₂×C₄	C₂×#2410	1	3	yes	—
1416	C₂×C₄	C₂×#2410	1	3	yes	—
1417	C₂×C₄	C₂×#2410	1	3	yes	—
1418	C₂×C₄	C₂×#2410	1	3	yes	—
1419	C₂×C₄	C₂×#2410	1	3	yes	—
1420	C₂×C₄	C₂×#2410	1	3	yes	—
1421	C₂×C₄	C₂×#2410	1	3	yes	—
1422	C₂×C₄	C₂×#2410	1	3	yes	—
1423	C₂×C₄	C₂×#2410	1	3	yes	—
1424	C₂×C₄	C₂×#2410	1	3	yes	—
1425	C₂×C₄	C₂×#2410	1	3	yes	—
1426	C₂×C₄	C₂×#2410	1	3	yes	—
1427	C₂×C₄	C₂×#2410	1	3	yes	—
1428	C₂×C₄	C₂×#2408	1	3	yes	—
1429	C₂×C₄	C₂×#2408	1	3	yes	—
1430	C₂×C₄	C₂×#2408	1	3	yes	—
1431	C₂×C₄	C₂×#2408	1	3	yes	—
1432	C₂×C₄	C₂×#2408	1	3	yes	—
1433	C₂×C₄	C₂×#2408	1	3	yes	—
1434	C₂×C₄	C₂×#2408	1	3	yes	—
1435	C₂×C₄	C₂×#2408	1	3	yes	—
1436	C₂×C₄	C₂×#2408	1	3	yes	—
1437	C₂×C₄	C₂×#2408	1	3	yes	—
1438	C₂×C₄	C₂×#2408	1	3	yes	—
1439	C₂×C₄	C₂×#2408	1	3	yes	—
1440	C₂×C₄	C₂×#2433	1	3	yes	—
1441	C₂×C₄	C₂×#2433	1	3	yes	—
1442	C₂×C₄	C₂×#2433	1	3	yes	—
1443	C₂×C₄	C₂×#2433	1	3	yes	—
1444	C₂×C₄	C₂×#2433	1	3	yes	—
1445	C₂×C₄	C₂×#2433	1	3	yes	—
1446	C₂×C₄	C₂×#2433	1	3	yes	—
1447	C₂×C₄	C₂×#2433	1	3	yes	—
1448	C₂×C₄	C₂×#2433	1	3	yes	—
1449	C₂×C₄	C₂×#2433	1	3	yes	—
1450	C₂×C₄	C₂×#2433	1	3	yes	—
1451	C₂×C₄	C₂×#2433	1	3	yes	—
1452	C₂×C₄	C₂×#2846	1	3	yes	—
1453	C₂×C₄	C₂×#2846	1	3	yes	—
1454	C₂×C₄	C₂×#2846	1	3	yes	—
1455	C₂×C₄	C₂×#2846	1	3	yes	—
1456	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1457	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1458	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1459	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1460	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1461	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1462	C₂×C₄	C₂³×#121	1	1	yes	characteristic
1463	C₂×C₄	C₂³×#121	1	1	yes	characteristic
1464	C₂×C₄	C₂³×#121	1	1	yes	characteristic
1465	C₂×C₄	C₂³×#127	1	1	yes	characteristic
1466	C₂×C₄	C₂²×#534	1	1	yes	characteristic
1467	C₂×C₄	C₂²×#534	1	1	yes	characteristic
1468	C₂×C₄	C₂²×#534	1	1	yes	characteristic
1469	C₂×C₄	C₂²×#534	1	1	yes	characteristic
1470	C₂×C₄	C₂²×#535	1	1	yes	characteristic
1471	C₂×C₄	C₂²×#535	1	1	yes	characteristic
1472	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
1473	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
1474	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
1475	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
1476	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
1477	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
1478	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
1479	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
1480	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
1481	C₂×C₄	C₂²×#546	1	1	yes	characteristic
1482	C₂×C₄	C₂²×#546	1	1	yes	characteristic
1483	C₂×C₄	C₂²×#546	1	1	yes	characteristic
1484	C₂²	#394108	1	4	yes	direct product factor
1485	C₂²	C₂×#14715	1	3	yes	—
1486	C₂²	C₂×#14715	1	3	yes	—
1487	C₂²	C₂×#14715	1	3	yes	—
1488	C₂²	C₂×#14715	1	3	yes	—
1489	C₂²	C₂×#14715	1	3	yes	—
1490	C₂²	C₂×#14715	1	3	yes	—
1491	C₂²	C₂×#14715	1	3	yes	—
1492	C₂²	C₂×#14715	1	3	yes	—
1493	C₂²	C₂²×#2403	1	1	yes	characteristic
1494	C₂²	C₂²×#2403	1	1	yes	characteristic
1495	C₂²	C₂²×#2410	1	1	yes	characteristic
1496	C₂²	C₂²×#2410	1	1	yes	characteristic
1497	C₂²	C₂²×#2408	1	1	yes	characteristic
1498	C₂²	C₂²×#2433	1	1	yes	characteristic
1499	C₂²	C₂²×#2846	1	1	yes	characteristic
1500	C₄	C₂×#14715	1	3	yes	—
1501	C₄	C₂×#14715	1	3	yes	—
1502	C₄	C₂×#14715	1	3	yes	—
1503	C₄	C₂×#14715	1	3	yes	—
1504	C₄	C₂×#14715	1	3	yes	—
1505	C₄	C₂×#14715	1	3	yes	—
1506	C₄	C₂×#14715	1	3	yes	—
1507	C₄	C₂×#14715	1	3	yes	—
1508	C₄	C₂³×#392	1	1	yes	characteristic
1509	C₄	C₂²×#2613	1	1	yes	characteristic
1510	C₄	C₂²×#2403	1	1	yes	characteristic
1511	C₄	C₂²×#2403	1	1	yes	characteristic
1512	C₄	C₂²×#2410	1	1	yes	characteristic
1513	C₄	C₂²×#2410	1	1	yes	characteristic
1514	C₄	C₂²×#2408	1	1	yes	characteristic
1515	C₄	C₂²×#2433	1	1	yes	characteristic
1516	C₂	C₂×#394108	1	6	yes	direct product factor
1517	C₂	C₂²×#14715	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	#2433
commutator, Frattini, cosocle	C₂³×C₄	C₂⁶
socle	C₂³	#14715
LCS	G ▷ C₂³×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₄ ◁ 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×#10993	C₂	semidirect
2. C₂²×#23443	C₂	semidirect
3. C₂²×#11000	C₂	semidirect
4. C₂²×#23412	C₂	semidirect
5. C₂²×#10792	C₂	semidirect
6. C₂²×#60387	C₂	semidirect
7. C₂²×#20620	C₂	semidirect
8. C₂²×#21000	C₂	semidirect
9. C₂²×#11003	C₂	semidirect
10. C₂²×#60359	C₂	semidirect
11. C₂²×#20605	C₂	semidirect
12. C₂²×#23414	C₂	semidirect
13. C₂²×#10994	C₂	semidirect
14. C₂²×#62811	C₂	semidirect
15. C₂³×#2010	C₂	semidirect
16. C₂×#394108	C₂	direct (N × H)
20. C₂³×#575	C₂²	semidirect
21. C₂³×#575	C₂²	semidirect
22. C₂×#62811	C₂²	semidirect
25. C₂²×#3449	C₂²	semidirect
28. C₂³×#525	C₂²	semidirect
30. C₂×#60387	C₂²	semidirect
31. C₂×#60359	C₂²	semidirect
32. C₂²×#2879	C₂²	semidirect
33. C₂³×#407	C₂²	semidirect
34. C₂³×#407	C₂²	semidirect
35. C₂³×#410	C₂²	semidirect
36. C₂³×#410	C₂²	semidirect
38. C₂²×#2896	C₂²	semidirect
39. C₂²×#2896	C₂²	semidirect
40. C₂³×#413	C₂²	semidirect
43. C₂³×#421	C₂²	semidirect
44. C₂³×#421	C₂²	semidirect
45. C₂³×#421	C₂²	semidirect
46. C₂³×#421	C₂²	semidirect
47. C₂³×#421	C₂²	semidirect
48. C₂²×#2280	C₂²	semidirect
49. C₂×#23443	C₂²	semidirect
50. C₂×#23414	C₂²	semidirect
51. C₂²×#2010	C₂²	semidirect
52. C₂×#23412	C₂²	semidirect
53. C₂×#21000	C₂²	semidirect
54. C₂×#20620	C₂²	semidirect
55. C₂×#20605	C₂²	semidirect
56. C₂³×#344	C₂²	semidirect
57. C₂³×#344	C₂²	semidirect
58. C₂²×#1740	C₂²	semidirect
59. C₂²×#1733	C₂²	semidirect
60. C₂³×H(3,ℤ/4)	C₂²	semidirect
61. C₂³×H(3,ℤ/4)	C₂²	semidirect
62. #394108	C₂²	direct (N × H)
63. C₂×#11003	C₂²	semidirect
64. C₂×#11000	C₂²	semidirect
65. C₂×#10994	C₂²	semidirect
66. C₂×#10993	C₂²	semidirect
67. C₂×#10792	C₂²	semidirect
68. C₂²×#585	D₄	semidirect
70. C₂³×2₋¹⁺⁴	D₄	semidirect
71. C₂³×H(5,𝔽₂)	D₄	semidirect
72. C₂⁴×#41	D₄	semidirect
73. C₂⁴×#41	D₄	semidirect
74. C₂⁴×#41	D₄	semidirect
81. C₂⁵×Q₈	D₄	semidirect
82. C₂⁵×D₄	D₄	semidirect
84. C₂²×#575	D₄	semidirect
86. C₂²×#575	C₂³	semidirect
87. C₂²×#575	C₂³	semidirect
88. C₂³×#137	D₄	semidirect
89. C₂³×AGL(1,ℤ/8)	D₄	semidirect
94. #62811	C₂³	semidirect
95. C₂×#3449	D₄	semidirect
96. C₂×#3449	D₄	semidirect
99. C₂×#3449	C₂³	semidirect
100. C₂²×#536	D₄	semidirect
101. C₂²×#535	D₄	semidirect
103. C₂²×#525	D₄	semidirect
104. C₂²×#525	D₄	semidirect
105. C₂²×#525	D₄	semidirect
106. C₂²×#525	D₄	semidirect
109. C₂²×#525	C₂³	semidirect
112. C₂×#3428	D₄	semidirect
114. C₂²×C₄×#41	D₄	semidirect
120. #60387	C₂³	semidirect
121. #60359	C₂³	semidirect
122. C₂²×#421	D₄	semidirect
125. C₂²×#421	C₂³	semidirect
126. C₂²×#421	C₂³	semidirect
127. C₂²×#421	C₂³	semidirect
128. C₂²×#421	C₂³	semidirect
129. C₂²×#421	C₂³	semidirect
130. C₂³×#104	D₄	semidirect
131. C₂×#2896	D₄	semidirect
133. C₂×#2896	C₂³	semidirect
134. C₂×#2896	C₂³	semidirect
135. C₂²×#416	D₄	semidirect
136. C₂²×#413	C₂³	semidirect
137. C₂²×#410	C₂³	semidirect
138. C₂²×#410	C₂³	semidirect
139. C₂×#2879	C₂³	semidirect
140. C₂²×#407	C₂³	semidirect
141. C₂²×#407	C₂³	semidirect
142. C₂×#2280	C₂³	semidirect
143. #23443	C₂³	semidirect
144. #23414	C₂³	semidirect
145. C₂×#2010	C₂³	semidirect
146. #23412	C₂³	semidirect
147. #21000	C₂³	semidirect
148. #20620	C₂³	semidirect
149. #20605	C₂³	semidirect
150. C₂²×#344	C₂³	semidirect
151. C₂²×#344	C₂³	semidirect
152. C₂×#1740	C₂³	semidirect
153. C₂×#1733	C₂³	semidirect
154. C₂²×H(3,ℤ/4)	C₂³	semidirect
155. C₂²×H(3,ℤ/4)	C₂³	semidirect
156. #11003	C₂³	semidirect
157. #11000	C₂³	semidirect
158. #10994	C₂³	semidirect
159. #10993	C₂³	semidirect
160. #10792	C₂³	semidirect
162. C₂×#585	C₂×D₄	semidirect
164. C₂²×2₋¹⁺⁴	C₂×D₄	semidirect
165. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
190. C₂³×#41	C₂×D₄	semidirect
191. C₂³×#41	C₂×D₄	semidirect
192. C₂³×#41	C₂×D₄	semidirect
193. C₂³×#41	C₂×D₄	semidirect
206. C₂⁴×Q₈	C₂×D₄	semidirect
207. C₂⁴×Q₈	C₂×D₄	semidirect
213. C₂⁴×D₄	C₂×D₄	semidirect
214. C₂⁴×D₄	C₂×D₄	semidirect
226. C₂×#575	C₂×D₄	semidirect
228. C₂×#575	C₂⁴	semidirect
229. C₂×#575	C₂⁴	semidirect
230. C₂²×#137	C₂×D₄	semidirect
231. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
232. C₂³×M₁₆	C₂×D₄	semidirect
233. C₂³×M₁₆	C₂×D₄	semidirect
234. C₂³×M₁₆	C₂×D₄	semidirect
235. C₂³×M₁₆	C₂×D₄	semidirect
236. C₂³×M₁₆	C₂×D₄	semidirect
241. C₂⁴×C₈	C₂×D₄	semidirect
242. #3449	C₂×D₄	semidirect
243. #3449	C₂×D₄	semidirect
246. #3449	C₂⁴	semidirect
247. C₂×#536	C₂×D₄	semidirect
248. C₂×#535	C₂×D₄	semidirect
250. C₂×#525	C₂×D₄	semidirect
251. C₂×#525	C₂×D₄	semidirect
252. C₂×#525	C₂×D₄	semidirect
253. C₂×#525	C₂×D₄	semidirect
256. C₂×#525	C₂⁴	semidirect
259. #3428	C₂×D₄	semidirect
261. C₂×C₄×#41	C₂×D₄	semidirect
272. C₂²×#117	C₂×D₄	semidirect
273. C₂²×#117	C₂×D₄	semidirect
274. C₂²×#117	C₂×D₄	semidirect
282. C₂³×C₄²	C₂×D₄	semidirect
283. C₂×#421	C₂×D₄	semidirect
286. C₂×#421	C₂⁴	semidirect
287. C₂×#421	C₂⁴	semidirect
288. C₂×#421	C₂⁴	semidirect
289. C₂×#421	C₂⁴	semidirect
290. C₂×#421	C₂⁴	semidirect
291. C₂²×#104	C₂×D₄	semidirect
292. #2896	C₂×D₄	semidirect
294. #2896	C₂⁴	semidirect
295. #2896	C₂⁴	semidirect
296. C₂×#416	C₂×D₄	semidirect
297. C₂×#413	C₂⁴	semidirect
298. C₂×#410	C₂⁴	semidirect
299. C₂×#410	C₂⁴	semidirect
300. #2879	C₂⁴	semidirect
301. C₂×#407	C₂⁴	semidirect
302. C₂×#407	C₂⁴	semidirect
303. #2280	C₂⁴	semidirect
304. C₂×#344	C₂⁴	semidirect
305. C₂×#344	C₂⁴	semidirect
306. #1740	C₂⁴	semidirect
307. #1733	C₂⁴	semidirect
308. C₂×H(3,ℤ/4)	C₂⁴	semidirect
309. C₂×H(3,ℤ/4)	C₂⁴	semidirect
316. C₂×2₋¹⁺⁴	C₂²×D₄	semidirect
317. C₂×H(5,𝔽₂)	C₂²×D₄	semidirect
378. C₂²×#41	C₂²×D₄	semidirect
379. C₂²×#41	C₂²×D₄	semidirect
380. C₂²×#41	C₂²×D₄	semidirect
403. C₂³×Q₈	C₂²×D₄	semidirect
404. C₂³×Q₈	C₂²×D₄	semidirect
422. C₂³×D₄	C₂²×D₄	semidirect
423. C₂³×D₄	C₂²×D₄	semidirect
474. C₂×#137	C₂²×D₄	semidirect
475. C₂×AGL(1,ℤ/8)	C₂²×D₄	semidirect
476. C₂²×M₁₆	C₂²×D₄	semidirect
477. C₂²×M₁₆	C₂²×D₄	semidirect
478. C₂²×M₁₆	C₂²×D₄	semidirect
479. C₂²×M₁₆	C₂²×D₄	semidirect
480. C₂²×M₁₆	C₂²×D₄	semidirect
485. C₂³×C₈	C₂²×D₄	semidirect
486. #536	C₂²×D₄	semidirect
487. #535	C₂²×D₄	semidirect
488. #525	C₂²×D₄	semidirect
489. #525	C₂²×D₄	semidirect
490. #525	C₂²×D₄	semidirect
493. C₄×#41	C₂²×D₄	semidirect
510. C₂×#117	C₂²×D₄	semidirect
511. C₂×#117	C₂²×D₄	semidirect
512. C₂×#117	C₂²×D₄	semidirect
524. C₂²×C₄²	C₂²×D₄	semidirect
525. C₂×#104	C₂²×D₄	semidirect
526. #416	C₂²×D₄	semidirect
613. C₂²×Q₈	C₂³×D₄	semidirect
636. C₂²×D₄	C₂³×D₄	semidirect
843. C₂×M₁₆	C₂³×D₄	semidirect
844. C₂×M₁₆	C₂³×D₄	semidirect
845. C₂²×C₈	C₂³×D₄	semidirect
854. #117	C₂³×D₄	semidirect
861. C₂×C₄²	C₂³×D₄	semidirect
1484. C₂²	#394108	direct (N × H)
1516. C₂	C₂×#394108	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×#10993	2
C₂²×#23443	2
C₂²×#11000	2
C₂²×#23412	2
C₂²×#10792	2
C₂²×#60387	2
C₂²×#20620	2
C₂²×#21000	2
C₂²×#11003	2
C₂²×#60359	2
C₂²×#20605	2
C₂²×#23414	2
C₂²×#10994	2
C₂²×#62811	2
C₂³×#2010	2
C₂×#394108	2

Subgroups — C22×#394108 #72315147

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×#394108 #72315147