Subgroups — C₂×#60311 #10574471

Order 512.

7080 conjugacy classes of subgroups.

The subgroup lattice has 1237 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3481	C₂	1	1	yes	maximal, characteristic
2	#60311	C₂	1	32	yes	maximal, direct product factor
3	C₂×#2994	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#2993	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#2992	C₂	1	2	yes	maximal, complemented
6	C₂×#2990	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#2988	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#2981	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#2977	C₂	1	2	yes	maximal, complemented
10	C₂×#2976	C₂	1	2	yes	maximal, complemented
11	C₂×#2974	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#2974	C₂	1	2	yes	maximal, complemented
13	C₂×#2972	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#2970	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#2969	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#2968	C₂	1	2	yes	maximal, complemented
17	C₂×#2966	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#2965	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#2935	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×D₄×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#2933	C₂	1	2	yes	maximal, complemented
22	C₂×#2929	C₂	1	2	yes	maximal, complemented
23	C₂²×#435	C₂	1	2	yes	maximal, complemented
24	C₂²×C₈×D₄	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#131	C₂²	1	2	yes	complemented
26	C₂³×M₁₆	C₂²	1	2	yes	complemented
27	C₂⁴×C₈	C₂²	1	2	yes	complemented
28	#3481	C₄	1	16	yes	—
29	#3481	C₂²	1	16	yes	—
30	C₂×#559	C₄	1	1	yes	characteristic
31	C₂×#554	C₄	1	1	yes	characteristic
32	C₂×#554	C₄	1	1	yes	characteristic
33	C₂×#553	C₄	1	1	yes	characteristic
34	C₂×#553	C₄	1	1	yes	characteristic
35	C₂×#553	C₄	1	2	yes	—
36	C₂×#551	C₄	1	2	yes	—
37	C₂×#551	C₄	1	2	yes	—
38	C₂×#546	C₄	1	1	yes	characteristic
39	C₂×#546	C₄	1	1	yes	characteristic
40	C₂×#546	C₄	1	2	yes	—
41	C₂×D₄²	C₄	1	1	yes	characteristic
42	C₂×#532	C₂²	1	1	yes	characteristic
43	C₂×#529	C₂²	1	1	yes	characteristic
44	C₂×#529	C₂²	1	2	yes	—
45	C₂×#529	C₂²	1	1	yes	characteristic
46	C₂×#525	C₂²	1	2	yes	—
47	C₂×#525	C₂²	1	2	yes	—
48	C₂×C₄×#41	C₂²	1	1	yes	characteristic
49	C₂×C₄×#41	C₂²	1	1	yes	characteristic
50	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
51	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
52	C₂²×C₄×D₄	C₂²	1	2	yes	—
53	#2994	C₂²	1	16	yes	complemented
54	#2993	C₂²	1	16	yes	complemented
55	#2992	C₂²	1	32	yes	complemented
56	#2990	C₂²	1	16	yes	complemented
57	#2988	C₂²	1	16	yes	complemented
58	#2981	C₂²	1	16	yes	complemented
59	#2977	C₂²	1	32	yes	complemented
60	#2976	C₂²	1	32	yes	complemented
61	#2974	C₂²	1	16	yes	complemented
62	#2974	C₂²	1	32	yes	complemented
63	#2972	C₂²	1	16	yes	complemented
64	#2970	C₂²	1	16	yes	complemented
65	#2969	C₂²	1	16	yes	complemented
66	#2968	C₂²	1	32	yes	complemented
67	#2966	C₂²	1	16	yes	complemented
68	#2965	C₂²	1	16	yes	complemented
69	C₂×#446	C₂²	1	1	yes	characteristic, complemented
70	C₂×#446	C₂²	1	1	yes	characteristic, complemented
71	C₂×#446	C₂²	1	1	yes	characteristic, complemented
72	C₂×#446	C₂²	1	2	yes	complemented
73	C₂×#446	C₂²	1	1	yes	characteristic, complemented
74	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
75	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
76	#2935	C₂²	1	16	yes	complemented
77	D₄×M₁₆	C₂²	1	16	yes	complemented
78	#2933	C₂²	1	32	yes	complemented
79	#2929	C₂²	1	32	yes	complemented
80	C₂×#436	C₂²	1	1	yes	characteristic, complemented
81	C₂×#436	C₂²	1	1	yes	characteristic, complemented
82	C₂×#436	C₂²	1	1	yes	characteristic, complemented
83	C₂×#436	C₂²	1	2	yes	complemented
84	C₂×#436	C₂²	1	1	yes	characteristic, complemented
85	C₂×#436	C₂²	1	2	yes	complemented
86	C₂×#436	C₂²	1	1	yes	characteristic, complemented
87	C₂×#436	C₂²	1	1	yes	characteristic, complemented
88	C₂×#435	C₂²	1	1	yes	characteristic
89	C₂×#435	C₂²	1	1	yes	characteristic
90	C₂×#435	C₂²	1	2	yes	—
91	C₂×#435	C₂²	1	1	yes	characteristic, complemented
92	C₂×#435	C₂²	1	1	yes	characteristic, complemented
93	C₂×#435	C₂²	1	2	yes	complemented
94	C₂×#435	C₂²	1	2	yes	complemented
95	C₂×#435	C₂²	1	2	yes	complemented
96	C₂×#435	C₂²	1	2	yes	complemented
97	C₂×#435	C₂²	1	2	yes	complemented
98	C₂×#435	C₂²	1	2	yes	complemented
99	C₂×#435	C₂²	1	2	yes	complemented
100	C₂×#435	C₂²	1	2	yes	complemented
101	C₂×#435	C₂²	1	2	yes	complemented
102	C₂×#435	C₂²	1	2	yes	complemented
103	C₂×#435	C₂²	1	2	yes	complemented
104	C₂×#435	C₂²	1	2	yes	complemented
105	C₂×#435	C₂²	1	2	yes	complemented
106	C₂×#435	C₂²	1	2	yes	complemented
107	C₂×#435	C₂²	1	2	yes	complemented
108	C₂×#435	C₂²	1	32	yes	complemented
109	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
110	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
111	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
112	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
113	C₂×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
114	C₂×C₈×D₄	C₂²	1	2	yes	complemented
115	C₂×C₈×D₄	C₂²	1	2	yes	complemented
116	C₂×C₈×D₄	C₂²	1	2	yes	complemented
117	C₂×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
118	C₂×C₈×D₄	C₂²	1	2	yes	complemented
119	C₂×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
120	C₂×C₈×D₄	C₂²	1	2	yes	complemented
121	C₂×C₈×D₄	C₂²	1	2	yes	complemented
122	C₂×C₈×D₄	C₂²	1	2	yes	complemented
123	C₂×C₈×D₄	C₂²	1	2	yes	complemented
124	C₂×C₈×D₄	C₂²	1	2	yes	complemented
125	C₂×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
126	C₂×C₈×D₄	C₂²	1	16	yes	complemented
127	C₂×#433	C₂²	1	2	yes	complemented
128	C₂×#433	C₂²	1	2	yes	complemented
129	C₂×#433	C₂²	1	2	yes	complemented
130	C₂×#433	C₂²	1	2	yes	complemented
131	C₂×#432	C₂²	1	1	yes	characteristic, complemented
132	C₂×#432	C₂²	1	2	yes	complemented
133	C₂×#432	C₂²	1	1	yes	characteristic, complemented
134	C₂×#431	C₂²	1	1	yes	characteristic, complemented
135	C₂×#431	C₂²	1	1	yes	characteristic, complemented
136	C₂×#431	C₂²	1	1	yes	characteristic, complemented
137	C₂×#431	C₂²	1	2	yes	complemented
138	C₂×#431	C₂²	1	1	yes	characteristic, complemented
139	C₂×#424	C₂²	1	2	yes	complemented
140	C₂×#424	C₂²	1	2	yes	complemented
141	C₂×#423	C₂²	1	1	yes	characteristic, complemented
142	C₂²×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
143	C₂²×C₄⋊C₈	C₂²	1	2	yes	complemented
144	C₂²×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
145	C₂×#408	C₂²	1	2	yes	complemented
146	C₂×#408	C₂²	1	2	yes	complemented
147	C₂×#408	C₂²	1	2	yes	complemented
148	C₂×#407	C₂²	1	2	yes	complemented
149	C₂×#407	C₂²	1	2	yes	complemented
150	C₂²×C₂²⋊C₈	C₂²	1	2	yes	complemented
151	C₂²×C₂²⋊C₈	C₂²	1	2	yes	complemented
152	C₂²×C₂²⋊C₈	C₂²	1	2	yes	complemented
153	C₂²×C₂²⋊C₈	C₂²	1	2	yes	complemented
154	C₂×#405	C₂²	1	2	yes	complemented
155	C₂×#405	C₂²	1	2	yes	complemented
156	C₂×C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
157	C₂×C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
158	C₂²×#97	C₂²	1	2	yes	complemented
159	C₂²×C₄×C₈	C₂²	1	1	yes	characteristic, complemented
160	C₂²×#41	C₂×C₄	1	1	yes	characteristic
161	C₂²×#41	C₂×C₄	1	1	yes	characteristic
162	C₂²×#41	C₂³	1	2	yes	—
163	C₂³×D₄	C₂×C₄	1	1	yes	characteristic
164	C₂³×D₄	C₂×C₄	1	1	yes	characteristic
165	C₂³×D₄	C₂×C₄	1	2	yes	—
166	C₂⁴×C₄	C₂³	1	2	yes	—
167	C₂⁴×C₄	C₂³	1	2	yes	—
168	C₂×#131	—	4	8	no	—
169	C₂×#131	C₂³	1	16	yes	complemented
170	C₂²×M₁₆	—	4	8	no	—
171	C₂²×M₁₆	C₂³	1	1	yes	characteristic
172	C₂²×M₁₆	C₂³	1	1	yes	characteristic
173	C₂²×M₁₆	C₂³	1	2	yes	—
174	C₂²×M₁₆	C₂³	1	1	yes	characteristic
175	C₂²×M₁₆	C₂³	1	1	yes	characteristic
176	C₂²×M₁₆	C₂³	1	2	yes	—
177	C₂²×M₁₆	C₂³	1	2	yes	—
178	C₂²×M₁₆	C₂³	1	2	yes	—
179	C₂²×M₁₆	C₂³	1	2	yes	—
180	C₂²×M₁₆	C₂³	1	16	yes	complemented
181	C₂³×C₈	—	4	8	no	—
182	C₂³×C₈	C₂³	1	1	yes	characteristic
183	C₂³×C₈	C₂³	1	2	yes	—
184	C₂³×C₈	C₂³	1	2	yes	—
185	C₂³×C₈	C₂³	1	1	yes	characteristic
186	C₂³×C₈	C₂³	1	2	yes	—
187	C₂³×C₈	C₂³	1	2	yes	—
188	C₂³×C₈	C₂³	1	2	yes	—
189	C₂³×C₈	C₂³	1	2	yes	—
190	C₂³×C₈	C₂³	1	2	yes	—
191	C₂³×C₈	C₂³	1	2	yes	—
192	C₂³×C₈	C₂³	1	2	yes	—
193	C₂³×C₈	C₂³	1	2	yes	—
194	C₂³×C₈	C₂³	1	16	yes	complemented
195	#559	C₂×C₄	1	16	yes	—
196	#554	C₂×C₄	1	16	yes	—
197	#554	C₂×C₄	1	16	yes	—
198	#553	C₂×C₄	1	16	yes	—
199	#553	C₂×C₄	1	16	yes	—
200	#553	C₂×C₄	1	32	yes	—
201	#551	C₂×C₄	1	32	yes	—
202	#551	C₂×C₄	1	32	yes	—
203	#546	C₂×C₄	1	16	yes	—
204	#546	C₂×C₄	1	16	yes	—
205	#546	C₂×C₄	1	32	yes	—
206	D₄²	C₂×C₄	1	16	yes	—
207	#532	C₂×C₄	1	8	yes	—
208	#532	C₂³	1	8	yes	—
209	C₂×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
210	C₂×#127	C₂×C₄	1	1	yes	characteristic
211	#529	C₂×C₄	1	8	yes	—
212	#529	C₂×C₄	1	16	yes	—
213	#529	C₂×C₄	1	8	yes	—
214	#529	C₂³	1	8	yes	—
215	#529	C₂³	1	16	yes	—
216	#529	C₂³	1	8	yes	—
217	C₂×#126	C₂×C₄	1	2	yes	—
218	C₂×#126	C₂×C₄	1	2	yes	—
219	C₂×#126	C₂×C₄	1	2	yes	—
220	C₂×#126	C₂×C₄	1	2	yes	—
221	C₂×#125	C₂×C₄	1	1	yes	characteristic
222	C₂×#125	C₂×C₄	1	2	yes	—
223	C₂×#125	C₂×C₄	1	1	yes	characteristic
224	C₂×#124	C₂×C₄	1	1	yes	characteristic
225	C₂×#124	C₂×C₄	1	1	yes	characteristic
226	C₂×#124	C₂×C₄	1	2	yes	—
227	C₂×#124	C₂×C₄	1	2	yes	—
228	#525	C₂×C₄	1	16	yes	—
229	#525	C₂×C₄	1	16	yes	—
230	#525	C₂³	1	16	yes	—
231	#525	C₂³	1	16	yes	—
232	C₂×#123	C₂×C₄	1	2	yes	—
233	C₂×#123	C₂×C₄	1	2	yes	—
234	C₂×#123	C₂×C₄	1	2	yes	—
235	C₂×#123	C₂×C₄	1	2	yes	—
236	C₂×#123	C₂×C₄	1	2	yes	—
237	C₂×#123	C₂×C₄	1	2	yes	—
238	C₂×#123	C₂×C₄	1	2	yes	—
239	C₂×#123	C₂×C₄	1	2	yes	—
240	C₂×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
241	C₂×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
242	C₂×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
243	C₂×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
244	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
245	C₂×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
246	C₂×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
247	C₂×#121	C₂×C₄	1	2	yes	—
248	C₂×#121	C₂×C₄	1	2	yes	—
249	C₂×#121	C₂×C₄	1	2	yes	—
250	C₂×#121	C₂×C₄	1	2	yes	—
251	C₂×#121	C₂×C₄	1	1	yes	characteristic
252	C₂×#121	C₂×C₄	1	1	yes	characteristic
253	C₂×#121	C₂×C₄	1	2	yes	—
254	C₂×#121	C₂×C₄	1	1	yes	characteristic
255	C₂×#121	C₂×C₄	1	1	yes	characteristic
256	C₂×#121	C₂×C₄	1	2	yes	—
257	C₂×#120	C₂×C₄	1	2	yes	—
258	C₂×#120	C₂×C₄	1	2	yes	—
259	C₂×#120	C₂×C₄	1	2	yes	—
260	C₂×#120	C₂×C₄	1	2	yes	—
261	C₄×#41	C₂×C₄	1	8	yes	—
262	C₄×#41	C₂×C₄	1	8	yes	—
263	C₄×#41	C₂³	1	8	yes	—
264	C₄×#41	C₂³	1	8	yes	—
265	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
266	C₂×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
267	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
268	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
269	C₂×C₄×D₄	C₂×C₄	1	2	yes	—
270	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
271	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
272	C₂×C₄×D₄	C₂×C₄	1	2	yes	—
273	C₂×C₄×D₄	C₂×C₄	1	2	yes	—
274	C₂×C₄×D₄	C₂×C₄	1	2	yes	—
275	C₂×C₄×D₄	C₂×C₄	1	2	yes	—
276	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
277	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
278	C₂×C₄×D₄	C₂×C₄	1	2	yes	—
279	C₂×C₄×D₄	C₂×C₄	1	8	yes	—
280	C₂×C₄×D₄	C₂×C₄	1	8	yes	—
281	C₂×C₄×D₄	C₂×C₄	1	16	yes	—
282	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
283	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
284	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
285	C₂×C₄×D₄	C₂×C₄	1	1	yes	characteristic
286	C₂×C₄×D₄	C₂×C₄	1	2	yes	—
287	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
288	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
289	C₂×C₄×D₄	C₂³	1	2	yes	—
290	C₂×C₄×D₄	C₂³	1	2	yes	—
291	C₂×C₄×D₄	C₂³	1	2	yes	—
292	C₂×C₄×D₄	C₂³	1	2	yes	—
293	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
294	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
295	C₂×C₄×D₄	C₂³	1	8	yes	—
296	C₂×C₄×D₄	C₂³	1	2	yes	—
297	C₂×C₄×D₄	C₂³	1	16	yes	—
298	C₂×C₄×D₄	C₂³	1	8	yes	—
299	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
300	C₂×C₄×D₄	C₂³	1	2	yes	—
301	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
302	C₂×#117	C₂×C₄	1	1	yes	characteristic
303	C₂×#117	C₂×C₄	1	2	yes	—
304	C₂×#117	C₂×C₄	1	1	yes	characteristic
305	C₂×#117	C₂×C₄	1	1	yes	characteristic
306	C₂×#117	C₂×C₄	1	1	yes	characteristic
307	C₂×#117	C₂³	1	2	yes	—
308	C₂×#117	C₂³	1	2	yes	—
309	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
310	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
311	C₂²×C₄⋊C₄	C₂×C₄	1	2	yes	—
312	C₂²×C₂²⋊C₄	C₂×C₄	1	2	yes	—
313	C₂²×C₂²⋊C₄	C₂×C₄	1	2	yes	—
314	C₂²×C₂²⋊C₄	C₂×C₄	1	2	yes	—
315	C₂²×C₂²⋊C₄	C₂×C₄	1	2	yes	—
316	C₂²×C₄²	C₂³	1	1	yes	characteristic
317	C₂²×C₄²	C₂³	1	2	yes	—
318	C₂²×C₄²	C₂³	1	1	yes	characteristic
319	C₂²×C₄²	C₂³	1	1	yes	characteristic
320	#446	C₂³	1	8	yes	complemented
321	#446	C₂³	1	8	yes	complemented
322	#446	C₂³	1	8	yes	complemented
323	#446	C₂³	1	16	yes	complemented
324	#446	C₂³	1	8	yes	complemented
325	C₈×Q₈	C₂³	1	8	yes	complemented
326	C₈×Q₈	C₂³	1	8	yes	complemented
327	#436	C₂³	1	8	yes	complemented
328	#436	C₂³	1	16	yes	complemented
329	#436	C₂³	1	8	yes	complemented
330	#436	C₂³	1	8	yes	complemented
331	#436	C₂³	1	8	yes	complemented
332	#436	C₂³	1	8	yes	complemented
333	#436	C₂³	1	16	yes	complemented
334	#436	C₂³	1	8	yes	complemented
335	#435	C₂³	1	8	yes	—
336	#435	C₂³	1	16	yes	—
337	#435	C₂³	1	8	yes	—
338	#435	C₂³	1	16	yes	complemented
339	#435	C₂³	1	16	yes	complemented
340	#435	C₂³	1	16	yes	complemented
341	#435	C₂³	1	16	yes	complemented
342	#435	C₂³	1	16	yes	complemented
343	#435	C₂³	1	16	yes	complemented
344	#435	C₂³	1	8	yes	complemented
345	#435	C₂³	1	16	yes	complemented
346	#435	C₂³	1	16	yes	complemented
347	#435	C₂³	1	16	yes	complemented
348	#435	C₂³	1	16	yes	complemented
349	#435	C₂³	1	16	yes	complemented
350	#435	C₂³	1	16	yes	complemented
351	#435	C₂³	1	8	yes	complemented
352	#435	C₂³	1	16	yes	complemented
353	#435	C₂³	1	16	yes	complemented
354	#435	C₂³	1	16	yes	complemented
355	C₈×D₄	C₂³	1	8	yes	—
356	C₈×D₄	C₂³	1	8	yes	—
357	C₈×D₄	C₂³	1	8	yes	—
358	C₈×D₄	C₂³	1	8	yes	—
359	C₈×D₄	C₂³	1	16	yes	complemented
360	C₈×D₄	C₂³	1	8	yes	complemented
361	C₈×D₄	C₂³	1	16	yes	complemented
362	C₈×D₄	C₂³	1	8	yes	complemented
363	C₈×D₄	C₂³	1	16	yes	complemented
364	C₈×D₄	C₂³	1	16	yes	complemented
365	C₈×D₄	C₂³	1	16	yes	complemented
366	C₈×D₄	C₂³	1	16	yes	complemented
367	C₈×D₄	C₂³	1	16	yes	complemented
368	C₈×D₄	C₂³	1	8	yes	complemented
369	C₈×D₄	C₂³	1	8	yes	complemented
370	C₈×D₄	C₂³	1	16	yes	complemented
371	C₈×D₄	C₂³	1	16	yes	complemented
372	#433	C₂³	1	16	yes	complemented
373	#433	C₂³	1	16	yes	complemented
374	#433	C₂³	1	16	yes	complemented
375	#433	C₂³	1	16	yes	complemented
376	#432	C₂³	1	8	yes	complemented
377	#432	C₂³	1	16	yes	complemented
378	#432	C₂³	1	8	yes	complemented
379	#431	C₂³	1	8	yes	complemented
380	#431	C₂³	1	8	yes	complemented
381	#431	C₂³	1	8	yes	complemented
382	#431	C₂³	1	16	yes	complemented
383	#431	C₂³	1	8	yes	complemented
384	#424	C₂³	1	16	yes	complemented
385	#424	C₂³	1	16	yes	complemented
386	#423	C₂³	1	8	yes	complemented
387	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
388	C₂×C₄⋊C₈	C₂³	1	2	yes	—
389	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
390	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
391	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
392	C₂×C₄⋊C₈	C₂³	1	2	yes	—
393	C₂×C₄⋊C₈	C₂³	1	2	yes	—
394	C₂×C₄⋊C₈	C₂³	1	2	yes	—
395	C₂×C₄⋊C₈	C₂³	1	2	yes	—
396	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
397	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
398	C₂×C₄⋊C₈	C₂³	1	2	yes	—
399	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
400	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
401	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
402	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
403	C₂×C₄⋊C₈	C₂³	1	2	yes	—
404	C₂×C₄⋊C₈	C₂³	1	8	yes	complemented
405	C₂×C₄⋊C₈	C₂³	1	16	yes	complemented
406	C₂×C₄⋊C₈	C₂³	1	8	yes	complemented
407	#408	C₂³	1	16	yes	complemented
408	#408	C₂³	1	16	yes	complemented
409	#408	C₂³	1	16	yes	complemented
410	#407	C₂³	1	16	yes	complemented
411	#407	C₂³	1	16	yes	complemented
412	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
413	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
414	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
415	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
416	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
417	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
418	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
419	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
420	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
421	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
422	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
423	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
424	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
425	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
426	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
427	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
428	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
429	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
430	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
431	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
432	C₂×C₂²⋊C₈	C₂³	1	2	yes	—
433	C₂×C₂²⋊C₈	C₂³	1	16	yes	complemented
434	C₂×C₂²⋊C₈	C₂³	1	16	yes	complemented
435	C₂×C₂²⋊C₈	C₂³	1	16	yes	complemented
436	C₂×C₂²⋊C₈	C₂³	1	16	yes	complemented
437	#405	C₂³	1	16	yes	complemented
438	#405	C₂³	1	16	yes	complemented
439	C₄×M₁₆	C₂³	1	8	yes	complemented
440	C₄×M₁₆	C₂³	1	8	yes	complemented
441	C₂×#97	C₂³	1	1	yes	characteristic
442	C₂×#97	C₂³	1	2	yes	—
443	C₂×#97	C₂³	1	2	yes	—
444	C₂×#97	C₂³	1	2	yes	—
445	C₂×#97	C₂³	1	1	yes	characteristic
446	C₂×#97	C₂³	1	1	yes	characteristic
447	C₂×#97	C₂³	1	1	yes	characteristic
448	C₂×#97	C₂³	1	2	yes	—
449	C₂×#97	C₂³	1	16	yes	complemented
450	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
451	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
452	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
453	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
454	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
455	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
456	C₂×C₄×C₈	C₂³	1	2	yes	—
457	C₂×C₄×C₈	C₂³	1	2	yes	—
458	C₂×C₄×C₈	C₂³	1	2	yes	—
459	C₂×C₄×C₈	C₂³	1	8	yes	complemented
460	C₂⁵	C₂²×C₄	1	2	yes	—
461	C₂⁵	C₂²×C₄	1	2	yes	—
462	C₂×#41	—	2	8	no	—
463	C₂×#41	—	4	4	no	—
464	C₂×#41	—	4	4	no	—
465	C₂×#41	—	4	4	no	—
466	C₂×#41	C₂²×C₄	1	8	yes	—
467	C₂×#41	C₂²×C₄	1	8	yes	—
468	C₂×#41	C₂²×C₄	1	8	yes	—
469	C₂×#41	C₂⁴	1	8	yes	—
470	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
471	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
472	C₂²×Q₈	C₂²×C₄	1	2	yes	—
473	C₂²×D₄	—	2	8	no	—
474	C₂²×D₄	—	2	8	no	—
475	C₂²×D₄	—	4	8	no	—
476	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
477	C₂²×D₄	C₂²×C₄	1	2	yes	—
478	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
479	C₂²×D₄	C₂²×C₄	1	2	yes	—
480	C₂²×D₄	C₂²×C₄	1	2	yes	—
481	C₂²×D₄	C₂²×C₄	1	2	yes	—
482	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
483	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
484	C₂²×D₄	C₂²×C₄	1	8	yes	—
485	C₂²×D₄	C₂²×C₄	1	8	yes	—
486	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
487	C₂²×D₄	C₂²×C₄	1	2	yes	—
488	C₂²×D₄	C₂²×C₄	1	2	yes	—
489	C₂²×D₄	C₂²×C₄	1	16	yes	—
490	C₂²×D₄	C₂²×C₄	1	2	yes	—
491	C₂²×D₄	C₂²×C₄	1	2	yes	—
492	C₂²×D₄	C₂²×C₄	1	2	yes	—
493	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
494	C₂³×C₄	—	4	4	no	—
495	C₂³×C₄	—	4	4	no	—
496	C₂³×C₄	—	4	4	no	—
497	C₂³×C₄	—	4	4	no	—
498	C₂³×C₄	C₂²×C₄	1	2	yes	—
499	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
500	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
501	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
502	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
503	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
504	C₂³×C₄	C₂²×C₄	1	2	yes	—
505	C₂³×C₄	C₂²×C₄	1	2	yes	—
506	C₂³×C₄	C₂²×C₄	1	2	yes	—
507	C₂³×C₄	C₂²×C₄	1	2	yes	—
508	C₂³×C₄	C₂²×C₄	1	2	yes	—
509	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
510	C₂³×C₄	C₂²×C₄	1	2	yes	—
511	C₂³×C₄	C₂²×C₄	1	2	yes	—
512	C₂³×C₄	C₂²×C₄	1	8	yes	—
513	C₂³×C₄	C₂²×C₄	1	8	yes	—
514	C₂³×C₄	C₂⁴	1	2	yes	—
515	C₂³×C₄	C₂⁴	1	2	yes	—
516	C₂³×C₄	C₂⁴	1	2	yes	—
517	C₂³×C₄	C₂⁴	1	1	yes	characteristic
518	C₂³×C₄	C₂⁴	1	1	yes	characteristic
519	C₂³×C₄	C₂⁴	1	1	yes	characteristic
520	C₂³×C₄	C₂⁴	1	8	yes	—
521	C₂³×C₄	C₂⁴	1	8	yes	—
522	#131	—	4	32	no	—
523	C₂×M₁₆	—	2	4	no	—
524	C₂×M₁₆	—	2	8	no	—
525	C₂×M₁₆	—	2	4	no	—
526	C₂×M₁₆	—	4	4	no	—
527	C₂×M₁₆	—	4	4	no	—
528	C₂×M₁₆	—	4	2	no	—
529	C₂×M₁₆	—	4	4	no	—
530	C₂×M₁₆	—	4	2	no	—
531	C₂×M₁₆	—	4	4	no	—
532	C₂×M₁₆	—	4	32	no	—
533	C₂×M₁₆	C₂⁴	1	4	yes	—
534	C₂×M₁₆	C₂⁴	1	8	yes	—
535	C₂×M₁₆	C₂⁴	1	4	yes	—
536	C₂×M₁₆	C₂⁴	1	8	yes	—
537	C₂×M₁₆	C₂⁴	1	8	yes	—
538	C₂×M₁₆	C₂⁴	1	8	yes	—
539	C₂×M₁₆	C₂⁴	1	4	yes	—
540	C₂×M₁₆	C₂⁴	1	4	yes	—
541	C₂×M₁₆	C₂⁴	1	8	yes	—
542	C₂²×C₈	—	2	4	no	—
543	C₂²×C₈	—	2	8	no	—
544	C₂²×C₈	—	2	8	no	—
545	C₂²×C₈	—	4	32	no	—
546	C₂²×C₈	—	4	4	no	—
547	C₂²×C₈	—	4	4	no	—
548	C₂²×C₈	—	4	4	no	—
549	C₂²×C₈	—	4	4	no	—
550	C₂²×C₈	—	4	2	no	—
551	C₂²×C₈	—	4	4	no	—
552	C₂²×C₈	—	4	4	no	—
553	C₂²×C₈	—	4	4	no	—
554	C₂²×C₈	—	4	4	no	—
555	C₂²×C₈	C₂⁴	1	4	yes	—
556	C₂²×C₈	C₂⁴	1	8	yes	—
557	C₂²×C₈	C₂⁴	1	8	yes	—
558	C₂²×C₈	C₂⁴	1	1	yes	characteristic
559	C₂²×C₈	C₂⁴	1	2	yes	—
560	C₂²×C₈	C₂⁴	1	2	yes	—
561	C₂²×C₈	C₂⁴	1	1	yes	characteristic
562	C₂²×C₈	C₂⁴	1	1	yes	characteristic
563	C₂²×C₈	C₂⁴	1	2	yes	—
564	C₂²×C₈	C₂⁴	1	1	yes	characteristic
565	C₂²×C₈	C₂⁴	1	1	yes	characteristic
566	C₂²×C₈	C₂⁴	1	2	yes	—
567	C₂²×C₈	C₂⁴	1	1	yes	characteristic
568	C₂²×C₈	C₂⁴	1	1	yes	characteristic
569	C₂²×C₈	C₂⁴	1	8	yes	—
570	C₂²×C₈	C₂⁴	1	8	yes	—
571	C₂²×C₈	C₂⁴	1	8	yes	—
572	C₂²×C₈	C₂⁴	1	8	yes	—
573	C₂²×C₈	C₂⁴	1	8	yes	—
574	C₂²×C₈	C₂⁴	1	8	yes	—
575	C₂²×C₈	C₂⁴	1	4	yes	—
576	C₂²×C₈	C₂⁴	1	8	yes	—
577	C₂²×C₈	C₂⁴	1	8	yes	—
578	C₂²×C₈	C₂⁴	1	1	yes	characteristic
579	C₄⋊Q₈	C₂²×C₄	1	8	yes	—
580	#127	C₂²×C₄	1	8	yes	—
581	#126	C₂²×C₄	1	16	yes	—
582	#126	C₂²×C₄	1	16	yes	—
583	#126	C₂²×C₄	1	16	yes	—
584	#126	C₂²×C₄	1	16	yes	—
585	#125	C₂²×C₄	1	8	yes	—
586	#125	C₂²×C₄	1	16	yes	—
587	#125	C₂²×C₄	1	8	yes	—
588	#124	C₂²×C₄	1	8	yes	—
589	#124	C₂²×C₄	1	8	yes	—
590	#124	C₂²×C₄	1	16	yes	—
591	#124	C₂²×C₄	1	16	yes	—
592	#123	C₂²×C₄	1	16	yes	—
593	#123	C₂²×C₄	1	16	yes	—
594	#123	C₂²×C₄	1	16	yes	—
595	#123	C₂²×C₄	1	16	yes	—
596	#123	C₂²×C₄	1	16	yes	—
597	#123	C₂²×C₄	1	16	yes	—
598	#123	C₂²×C₄	1	16	yes	—
599	#123	C₂²×C₄	1	16	yes	—
600	C₂²⋊Q₈	C₂²×C₄	1	16	yes	—
601	C₂²⋊Q₈	C₂²×C₄	1	16	yes	—
602	C₂²⋊Q₈	C₂²×C₄	1	16	yes	—
603	C₂²⋊Q₈	C₂²×C₄	1	16	yes	—
604	C₂²⋊Q₈	C₂²×C₄	1	8	yes	—
605	C₂²⋊Q₈	C₂²×C₄	1	8	yes	—
606	C₂²⋊Q₈	C₂²×C₄	1	16	yes	—
607	#121	C₂²×C₄	1	16	yes	—
608	#121	C₂²×C₄	1	16	yes	—
609	#121	C₂²×C₄	1	16	yes	—
610	#121	C₂²×C₄	1	16	yes	—
611	#121	C₂²×C₄	1	8	yes	—
612	#121	C₂²×C₄	1	8	yes	—
613	#121	C₂²×C₄	1	16	yes	—
614	#121	C₂²×C₄	1	8	yes	—
615	#121	C₂²×C₄	1	8	yes	—
616	#121	C₂²×C₄	1	16	yes	—
617	#120	C₂²×C₄	1	16	yes	—
618	#120	C₂²×C₄	1	16	yes	—
619	#120	C₂²×C₄	1	16	yes	—
620	#120	C₂²×C₄	1	16	yes	—
621	C₄×Q₈	C₂²×C₄	1	8	yes	—
622	C₄×Q₈	C₂²×C₄	1	8	yes	—
623	C₄×Q₈	C₂²×C₄	1	4	yes	—
624	C₄×Q₈	C₂²×C₄	1	4	yes	—
625	C₄×Q₈	C₂⁴	1	4	yes	—
626	C₄×Q₈	C₂⁴	1	4	yes	—
627	C₄×D₄	C₂²×C₄	1	4	yes	—
628	C₄×D₄	C₂²×C₄	1	4	yes	—
629	C₄×D₄	C₂²×C₄	1	8	yes	—
630	C₄×D₄	C₂²×C₄	1	8	yes	—
631	C₄×D₄	C₂²×C₄	1	8	yes	—
632	C₄×D₄	C₂²×C₄	1	8	yes	—
633	C₄×D₄	C₂²×C₄	1	4	yes	—
634	C₄×D₄	C₂²×C₄	1	4	yes	—
635	C₄×D₄	C₂²×C₄	1	8	yes	—
636	C₄×D₄	C₂²×C₄	1	16	yes	—
637	C₄×D₄	C₂²×C₄	1	8	yes	—
638	C₄×D₄	C₂²×C₄	1	8	yes	—
639	C₄×D₄	C₂²×C₄	1	16	yes	—
640	C₄×D₄	C₂²×C₄	1	16	yes	—
641	C₄×D₄	C₂²×C₄	1	16	yes	—
642	C₄×D₄	C₂²×C₄	1	16	yes	—
643	C₄×D₄	C₂²×C₄	1	8	yes	—
644	C₄×D₄	C₂²×C₄	1	8	yes	—
645	C₄×D₄	C₂²×C₄	1	16	yes	—
646	C₄×D₄	C₂²×C₄	1	8	yes	—
647	C₄×D₄	C₂²×C₄	1	8	yes	—
648	C₄×D₄	C₂²×C₄	1	8	yes	—
649	C₄×D₄	C₂²×C₄	1	8	yes	—
650	C₄×D₄	C₂²×C₄	1	16	yes	—
651	C₄×D₄	C₂²×C₄	1	8	yes	—
652	C₄×D₄	C₂²×C₄	1	4	yes	—
653	C₄×D₄	C₂²×C₄	1	4	yes	—
654	C₄×D₄	C₂⁴	1	4	yes	—
655	C₄×D₄	C₂⁴	1	4	yes	—
656	C₄×D₄	C₂⁴	1	8	yes	—
657	C₄×D₄	C₂⁴	1	8	yes	—
658	C₄×D₄	C₂⁴	1	8	yes	—
659	C₄×D₄	C₂⁴	1	8	yes	—
660	C₄×D₄	C₂⁴	1	4	yes	—
661	C₄×D₄	C₂⁴	1	4	yes	—
662	C₄×D₄	C₂⁴	1	8	yes	—
663	C₄×D₄	C₂⁴	1	4	yes	—
664	C₄×D₄	C₂⁴	1	8	yes	—
665	C₄×D₄	C₂⁴	1	4	yes	—
666	#117	C₂²×C₄	1	8	yes	—
667	#117	C₂²×C₄	1	16	yes	—
668	#117	C₂²×C₄	1	8	yes	—
669	#117	C₂²×C₄	1	8	yes	—
670	#117	C₂²×C₄	1	8	yes	—
671	#117	C₂²×C₄	1	8	yes	—
672	#117	C₂²×C₄	1	8	yes	—
673	#117	C₂⁴	1	8	yes	—
674	#117	C₂⁴	1	8	yes	—
675	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
676	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
677	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
678	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
679	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
680	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
681	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
682	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
683	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
684	C₂×C₄⋊C₄	C₂²×C₄	1	8	yes	—
685	C₂×C₄⋊C₄	C₂²×C₄	1	8	yes	—
686	C₂×C₄⋊C₄	C₂²×C₄	1	16	yes	—
687	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
688	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
689	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
690	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
691	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
692	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
693	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
694	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
695	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
696	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
697	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
698	C₂×C₄⋊C₄	C₂²×C₄	1	2	yes	—
699	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
700	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
701	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
702	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
703	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
704	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
705	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
706	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
707	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
708	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
709	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
710	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
711	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
712	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
713	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
714	C₂×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
715	C₂×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
716	C₂×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
717	C₂×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
718	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
719	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
720	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
721	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
722	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
723	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
724	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
725	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
726	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
727	C₂×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
728	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
729	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
730	C₂×C₄²	C₂²×C₄	1	2	yes	—
731	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
732	C₂×C₄²	C₂²×C₄	1	2	yes	—
733	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
734	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
735	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
736	C₂×C₄²	C₂²×C₄	1	4	yes	—
737	C₂×C₄²	C₂²×C₄	1	8	yes	—
738	C₂×C₄²	C₂²×C₄	1	4	yes	—
739	C₂×C₄²	C₂²×C₄	1	4	yes	—
740	C₂×C₄²	C₂⁴	1	4	yes	—
741	C₂×C₄²	C₂⁴	1	8	yes	—
742	C₂×C₄²	C₂⁴	1	4	yes	—
743	C₂×C₄²	C₂⁴	1	4	yes	—
744	C₂×C₄²	C₂⁴	1	1	yes	characteristic
745	C₂×C₄²	C₂⁴	1	1	yes	characteristic
746	C₂×C₄²	C₂⁴	1	2	yes	—
747	C₂×C₄²	C₂⁴	1	1	yes	characteristic
748	C₂×C₄²	C₂⁴	1	1	yes	characteristic
749	C₄⋊C₈	C₂⁴	1	4	yes	—
750	C₄⋊C₈	C₂⁴	1	4	yes	—
751	C₄⋊C₈	C₂⁴	1	8	yes	—
752	C₄⋊C₈	C₂⁴	1	4	yes	—
753	C₄⋊C₈	C₂⁴	1	4	yes	—
754	C₄⋊C₈	C₂⁴	1	8	yes	—
755	C₄⋊C₈	C₂⁴	1	8	yes	—
756	C₄⋊C₈	C₂⁴	1	8	yes	—
757	C₄⋊C₈	C₂⁴	1	8	yes	—
758	C₄⋊C₈	C₂⁴	1	4	yes	—
759	C₄⋊C₈	C₂⁴	1	4	yes	—
760	C₄⋊C₈	C₂⁴	1	8	yes	—
761	C₄⋊C₈	C₂⁴	1	4	yes	—
762	C₄⋊C₈	C₂⁴	1	4	yes	—
763	C₄⋊C₈	C₂⁴	1	4	yes	—
764	C₄⋊C₈	C₂⁴	1	4	yes	—
765	C₄⋊C₈	C₂⁴	1	8	yes	—
766	C₂²⋊C₈	C₂⁴	1	8	yes	—
767	C₂²⋊C₈	C₂⁴	1	4	yes	—
768	C₂²⋊C₈	C₂⁴	1	4	yes	—
769	C₂²⋊C₈	C₂⁴	1	8	yes	—
770	C₂²⋊C₈	C₂⁴	1	4	yes	—
771	C₂²⋊C₈	C₂⁴	1	8	yes	—
772	C₂²⋊C₈	C₂⁴	1	8	yes	—
773	C₂²⋊C₈	C₂⁴	1	8	yes	—
774	C₂²⋊C₈	C₂⁴	1	8	yes	—
775	C₂²⋊C₈	C₂⁴	1	8	yes	—
776	C₂²⋊C₈	C₂⁴	1	8	yes	—
777	C₂²⋊C₈	C₂⁴	1	8	yes	—
778	C₂²⋊C₈	C₂⁴	1	8	yes	—
779	C₂²⋊C₈	C₂⁴	1	8	yes	—
780	C₂²⋊C₈	C₂⁴	1	8	yes	—
781	C₂²⋊C₈	C₂⁴	1	4	yes	—
782	C₂²⋊C₈	C₂⁴	1	8	yes	—
783	C₂²⋊C₈	C₂⁴	1	8	yes	—
784	C₂²⋊C₈	C₂⁴	1	4	yes	—
785	C₂²⋊C₈	C₂⁴	1	4	yes	—
786	C₂²⋊C₈	C₂⁴	1	8	yes	—
787	#97	C₂⁴	1	4	yes	—
788	#97	C₂⁴	1	8	yes	—
789	#97	C₂⁴	1	8	yes	—
790	#97	C₂⁴	1	8	yes	—
791	#97	C₂⁴	1	4	yes	—
792	#97	C₂⁴	1	4	yes	—
793	#97	C₂⁴	1	4	yes	—
794	#97	C₂⁴	1	8	yes	—
795	C₄×C₈	C₂⁴	1	4	yes	—
796	C₄×C₈	C₂⁴	1	4	yes	—
797	C₄×C₈	C₂⁴	1	4	yes	—
798	C₄×C₈	C₂⁴	1	4	yes	—
799	C₄×C₈	C₂⁴	1	4	yes	—
800	C₄×C₈	C₂⁴	1	4	yes	—
801	C₄×C₈	C₂⁴	1	8	yes	—
802	C₄×C₈	C₂⁴	1	8	yes	—
803	C₄×C₈	C₂⁴	1	8	yes	—
804	C₂⁴	—	2	8	no	—
805	C₂⁴	—	2	8	no	—
806	C₂⁴	—	2	8	no	—
807	C₂⁴	—	4	4	no	—
808	C₂⁴	—	4	4	no	—
809	C₂⁴	—	4	4	no	—
810	C₂⁴	C₂³×C₄	1	2	yes	—
811	C₂⁴	C₂³×C₄	1	2	yes	—
812	C₂⁴	C₂³×C₄	1	1	yes	characteristic
813	C₂⁴	C₂³×C₄	1	1	yes	characteristic
814	C₂⁴	C₂³×C₄	1	8	yes	—
815	C₂⁴	C₂³×C₄	1	2	yes	—
816	C₂⁴	C₂³×C₄	1	1	yes	characteristic
817	C₂⁴	C₂³×C₄	1	8	yes	—
818	#41	—	2	32	no	—
819	#41	—	4	8	no	—
820	#41	—	4	16	no	—
821	#41	—	4	8	no	—
822	#41	—	4	16	no	—
823	C₂×Q₈	—	2	4	no	—
824	C₂×Q₈	—	4	4	no	—
825	C₂×Q₈	—	4	2	no	—
826	C₂×Q₈	C₂³×C₄	1	4	yes	—
827	C₂×Q₈	C₂³×C₄	1	4	yes	—
828	C₂×Q₈	C₂³×C₄	1	8	yes	—
829	C₂×D₄	—	2	8	no	—
830	C₂×D₄	—	2	8	no	—
831	C₂×D₄	—	2	8	no	—
832	C₂×D₄	—	2	4	no	—
833	C₂×D₄	—	2	8	no	—
834	C₂×D₄	—	2	4	no	—
835	C₂×D₄	—	2	32	no	—
836	C₂×D₄	—	2	32	no	—
837	C₂×D₄	—	2	4	no	—
838	C₂×D₄	—	2	4	no	—
839	C₂×D₄	—	4	4	no	—
840	C₂×D₄	—	4	4	no	—
841	C₂×D₄	—	4	4	no	—
842	C₂×D₄	—	4	4	no	—
843	C₂×D₄	—	4	4	no	—
844	C₂×D₄	—	4	2	no	—
845	C₂×D₄	—	4	32	no	—
846	C₂×D₄	#131	1	8	yes	complemented
847	C₂×D₄	C₂³×C₄	1	4	yes	—
848	C₂×D₄	C₂³×C₄	1	8	yes	—
849	C₂×D₄	C₂³×C₄	1	4	yes	—
850	C₂×D₄	C₂³×C₄	1	8	yes	—
851	C₂×D₄	C₂³×C₄	1	8	yes	—
852	C₂×D₄	C₂³×C₄	1	8	yes	—
853	C₂×D₄	C₂³×C₄	1	4	yes	—
854	C₂×D₄	C₂³×C₄	1	4	yes	—
855	C₂×D₄	C₂³×C₄	1	4	yes	—
856	C₂×D₄	C₂³×C₄	1	8	yes	—
857	C₂×D₄	C₂³×C₄	1	8	yes	—
858	C₂×D₄	C₂³×C₄	1	8	yes	—
859	C₂×D₄	C₂³×C₄	1	8	yes	—
860	C₂×D₄	C₂³×C₄	1	8	yes	—
861	C₂×D₄	C₂³×C₄	1	4	yes	—
862	C₂²×C₄	—	2	8	no	—
863	C₂²×C₄	—	2	4	no	—
864	C₂²×C₄	—	2	4	no	—
865	C₂²×C₄	—	2	4	no	—
866	C₂²×C₄	—	2	4	no	—
867	C₂²×C₄	—	2	2	no	—
868	C₂²×C₄	—	2	4	no	—
869	C₂²×C₄	—	2	4	no	—
870	C₂²×C₄	—	2	2	no	—
871	C₂²×C₄	—	2	4	no	—
872	C₂²×C₄	—	2	2	no	—
873	C₂²×C₄	—	2	2	no	—
874	C₂²×C₄	—	2	4	no	—
875	C₂²×C₄	—	2	4	no	—
876	C₂²×C₄	—	2	2	no	—
877	C₂²×C₄	—	2	4	no	—
878	C₂²×C₄	—	2	2	no	—
879	C₂²×C₄	—	4	8	no	—
880	C₂²×C₄	—	4	8	no	—
881	C₂²×C₄	—	4	16	no	—
882	C₂²×C₄	—	4	16	no	—
883	C₂²×C₄	—	4	8	no	—
884	C₂²×C₄	—	4	8	no	—
885	C₂²×C₄	—	4	4	no	—
886	C₂²×C₄	—	4	4	no	—
887	C₂²×C₄	—	4	4	no	—
888	C₂²×C₄	—	4	4	no	—
889	C₂²×C₄	—	4	4	no	—
890	C₂²×C₄	—	4	4	no	—
891	C₂²×C₄	—	4	4	no	—
892	C₂²×C₄	—	4	2	no	—
893	C₂²×C₄	—	4	2	no	—
894	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
895	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
896	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
897	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
898	C₂²×C₄	C₂³×C₄	1	2	yes	—
899	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
900	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
901	C₂²×C₄	C₂³×C₄	1	2	yes	—
902	C₂²×C₄	C₂³×C₄	1	4	yes	—
903	C₂²×C₄	C₂³×C₄	1	2	yes	—
904	C₂²×C₄	C₂³×C₄	1	2	yes	—
905	C₂²×C₄	C₂³×C₄	1	2	yes	—
906	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
907	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
908	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
909	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
910	C₂²×C₄	C₂³×C₄	1	2	yes	—
911	C₂²×C₄	C₂³×C₄	1	8	yes	—
912	C₂²×C₄	C₂³×C₄	1	4	yes	—
913	C₂²×C₄	C₂³×C₄	1	4	yes	—
914	C₂²×C₄	C₂³×C₄	1	4	yes	—
915	C₂²×C₄	C₂³×C₄	1	4	yes	—
916	C₂²×C₄	C₂³×C₄	1	2	yes	—
917	C₂²×C₄	C₂³×C₄	1	2	yes	—
918	C₂²×C₄	C₂³×C₄	1	4	yes	—
919	C₂²×C₄	C₂³×C₄	1	4	yes	—
920	C₂²×C₄	C₂³×C₄	1	4	yes	—
921	C₂²×C₄	C₂³×C₄	1	8	yes	—
922	C₂²×C₄	C₂³×C₄	1	4	yes	—
923	C₂²×C₄	C₂³×C₄	1	8	yes	—
924	C₂²×C₄	C₂³×C₄	1	8	yes	—
925	C₂²×C₄	C₂³×C₄	1	8	yes	—
926	C₂²×C₄	C₂³×C₄	1	8	yes	—
927	C₂²×C₄	C₂³×C₄	1	8	yes	—
928	C₂²×C₄	C₂³×C₄	1	8	yes	—
929	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
930	C₂²×C₄	C₂⁵	1	4	yes	—
931	C₂²×C₄	C₂⁵	1	2	yes	—
932	C₂²×C₄	C₂⁵	1	2	yes	—
933	C₂²×C₄	C₂⁵	1	2	yes	—
934	C₂²×C₄	C₂⁵	1	4	yes	—
935	C₂²×C₄	C₂⁵	1	4	yes	—
936	C₂²×C₄	C₂⁵	1	1	yes	characteristic
937	M₁₆	—	2	8	no	—
938	M₁₆	—	2	16	no	—
939	M₁₆	—	2	8	no	—
940	M₁₆	—	4	8	no	—
941	M₁₆	—	4	8	no	—
942	M₁₆	—	4	4	no	—
943	M₁₆	—	4	8	no	—
944	M₁₆	—	4	4	no	—
945	M₁₆	—	4	8	no	—
946	C₂×C₈	—	2	2	no	—
947	C₂×C₈	—	2	4	no	—
948	C₂×C₈	—	2	4	no	—
949	C₂×C₈	—	2	2	no	—
950	C₂×C₈	—	2	4	no	—
951	C₂×C₈	—	2	2	no	—
952	C₂×C₈	—	2	2	no	—
953	C₂×C₈	—	2	4	no	—
954	C₂×C₈	—	2	2	no	—
955	C₂×C₈	—	2	2	no	—
956	C₂×C₈	—	2	2	no	—
957	C₂×C₈	—	2	8	no	—
958	C₂×C₈	—	2	16	no	—
959	C₂×C₈	—	2	16	no	—
960	C₂×C₈	—	4	8	no	—
961	C₂×C₈	—	4	8	no	—
962	C₂×C₈	—	4	8	no	—
963	C₂×C₈	—	4	8	no	—
964	C₂×C₈	—	4	4	no	—
965	C₂×C₈	—	4	8	no	—
966	C₂×C₈	—	4	8	no	—
967	C₂×C₈	—	4	8	no	—
968	C₂×C₈	—	4	8	no	—
969	C₂×C₈	H(5,𝔽₂)	1	4	yes	—
970	C₂×C₈	C₂⁵	1	2	yes	—
971	C₂×C₈	C₂⁵	1	2	yes	—
972	C₂×C₈	C₂⁵	1	2	yes	—
973	C₂×C₈	C₂⁵	1	2	yes	—
974	C₂×C₈	C₂⁵	1	4	yes	—
975	C₂×C₈	C₂⁵	1	2	yes	—
976	C₂×C₈	C₂⁵	1	4	yes	—
977	C₂×C₈	C₂⁵	1	2	yes	—
978	C₂×C₈	C₂⁵	1	2	yes	—
979	C₂×C₈	C₂⁵	1	4	yes	—
980	C₂×C₈	C₂⁵	1	4	yes	—
981	C₂×C₈	C₂⁵	1	2	yes	—
982	C₄⋊C₄	C₂³×C₄	1	4	yes	—
983	C₄⋊C₄	C₂³×C₄	1	4	yes	—
984	C₄⋊C₄	C₂³×C₄	1	8	yes	—
985	C₄⋊C₄	C₂³×C₄	1	4	yes	—
986	C₄⋊C₄	C₂³×C₄	1	4	yes	—
987	C₄⋊C₄	C₂³×C₄	1	8	yes	—
988	C₄⋊C₄	C₂³×C₄	1	8	yes	—
989	C₄⋊C₄	C₂³×C₄	1	8	yes	—
990	C₄⋊C₄	C₂³×C₄	1	8	yes	—
991	C₄⋊C₄	C₂³×C₄	1	4	yes	—
992	C₄⋊C₄	C₂³×C₄	1	4	yes	—
993	C₄⋊C₄	C₂³×C₄	1	8	yes	—
994	C₄⋊C₄	C₂³×C₄	1	4	yes	—
995	C₄⋊C₄	C₂³×C₄	1	4	yes	—
996	C₄⋊C₄	C₂³×C₄	1	8	yes	—
997	C₄⋊C₄	C₂³×C₄	1	4	yes	—
998	C₄⋊C₄	C₂³×C₄	1	4	yes	—
999	C₄⋊C₄	C₂³×C₄	1	8	yes	—
1000	C₄⋊C₄	C₂³×C₄	1	8	yes	—
1001	C₄⋊C₄	C₂³×C₄	1	8	yes	—
1002	C₄⋊C₄	C₂³×C₄	1	8	yes	—
1003	C₂²⋊C₄	C₂³×C₄	1	4	yes	—
1004	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1005	C₂²⋊C₄	C₂³×C₄	1	4	yes	—
1006	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1007	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1008	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1009	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1010	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1011	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1012	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1013	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1014	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1015	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1016	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1017	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1018	C₂²⋊C₄	C₂³×C₄	1	4	yes	—
1019	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1020	C₂²⋊C₄	C₂³×C₄	1	4	yes	—
1021	C₂²⋊C₄	C₂³×C₄	1	4	yes	—
1022	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1023	C₂²⋊C₄	C₂³×C₄	1	4	yes	—
1024	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1025	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1026	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1027	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1028	C₄²	C₂³×C₄	1	2	yes	—
1029	C₄²	C₂³×C₄	1	2	yes	—
1030	C₄²	C₂³×C₄	1	4	yes	—
1031	C₄²	C₂³×C₄	1	4	yes	—
1032	C₄²	C₂³×C₄	1	2	yes	—
1033	C₄²	C₂³×C₄	1	2	yes	—
1034	C₄²	C₂³×C₄	1	4	yes	—
1035	C₄²	C₂³×C₄	1	8	yes	—
1036	C₄²	C₂³×C₄	1	4	yes	—
1037	C₄²	C₂³×C₄	1	8	yes	—
1038	C₄²	C₂³×C₄	1	4	yes	—
1039	C₄²	C₂³×C₄	1	4	yes	—
1040	C₄²	C₂³×C₄	1	4	yes	—
1041	C₄²	C₂⁵	1	2	yes	—
1042	C₄²	C₂⁵	1	2	yes	—
1043	C₄²	C₂⁵	1	2	yes	—
1044	C₄²	C₂⁵	1	4	yes	—
1045	C₄²	C₂⁵	1	2	yes	—
1046	C₂³	—	2	2	no	—
1047	C₂³	—	2	4	no	—
1048	C₂³	—	2	2	no	—
1049	C₂³	—	2	4	no	—
1050	C₂³	—	2	2	no	—
1051	C₂³	—	2	4	no	—
1052	C₂³	—	2	4	no	—
1053	C₂³	—	2	2	no	—
1054	C₂³	—	2	2	no	—
1055	C₂³	—	2	2	no	—
1056	C₂³	—	2	16	no	—
1057	C₂³	—	2	4	no	—
1058	C₂³	—	2	4	no	—
1059	C₂³	—	2	2	no	—
1060	C₂³	—	2	2	no	—
1061	C₂³	—	2	4	no	—
1062	C₂³	—	2	16	no	—
1063	C₂³	—	2	4	no	—
1064	C₂³	—	2	16	no	—
1065	C₂³	—	4	8	no	—
1066	C₂³	—	4	8	no	—
1067	C₂³	—	4	8	no	—
1068	C₂³	—	4	32	no	—
1069	C₂³	—	8	16	no	—
1070	C₂³	C₂×#131	1	8	yes	—
1071	C₂³	#568	1	4	yes	—
1072	C₂³	C₂⁴×C₄	1	4	yes	—
1073	C₂³	C₂⁴×C₄	1	4	yes	—
1074	C₂³	C₂⁴×C₄	1	2	yes	—
1075	C₂³	C₂⁴×C₄	1	2	yes	—
1076	C₂³	C₂⁴×C₄	1	4	yes	—
1077	C₂³	C₂⁴×C₄	1	2	yes	—
1078	C₂³	C₂⁴×C₄	1	1	yes	characteristic
1079	Q₈	—	2	8	no	—
1080	Q₈	—	4	4	no	—
1081	Q₈	—	4	8	no	—
1082	D₄	—	2	16	no	—
1083	D₄	—	2	16	no	—
1084	D₄	—	2	16	no	—
1085	D₄	—	2	8	no	—
1086	D₄	—	2	16	no	—
1087	D₄	—	2	8	no	—
1088	D₄	—	2	8	no	—
1089	D₄	—	2	8	no	—
1090	D₄	—	4	8	no	—
1091	D₄	—	4	8	no	—
1092	D₄	—	4	4	no	—
1093	D₄	—	4	8	no	—
1094	D₄	—	4	8	no	—
1095	D₄	—	4	8	no	—
1096	D₄	C₂×#131	1	16	yes	complemented
1097	C₂×C₄	—	2	2	no	—
1098	C₂×C₄	—	2	4	no	—
1099	C₂×C₄	—	2	2	no	—
1100	C₂×C₄	—	2	4	no	—
1101	C₂×C₄	—	2	4	no	—
1102	C₂×C₄	—	2	2	no	—
1103	C₂×C₄	—	2	2	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	2	2	no	—
1106	C₂×C₄	—	2	4	no	—
1107	C₂×C₄	—	2	16	no	—
1108	C₂×C₄	—	2	2	no	—
1109	C₂×C₄	—	2	2	no	—
1110	C₂×C₄	—	2	8	no	—
1111	C₂×C₄	—	2	2	no	—
1112	C₂×C₄	—	2	4	no	—
1113	C₂×C₄	—	2	2	no	—
1114	C₂×C₄	—	2	2	no	—
1115	C₂×C₄	—	2	4	no	—
1116	C₂×C₄	—	2	4	no	—
1117	C₂×C₄	—	2	2	no	—
1118	C₂×C₄	—	2	4	no	—
1119	C₂×C₄	—	2	2	no	—
1120	C₂×C₄	—	2	2	no	—
1121	C₂×C₄	—	2	4	no	—
1122	C₂×C₄	—	2	4	no	—
1123	C₂×C₄	—	2	2	no	—
1124	C₂×C₄	—	2	4	no	—
1125	C₂×C₄	—	2	2	no	—
1126	C₂×C₄	—	2	4	no	—
1127	C₂×C₄	—	2	8	no	—
1128	C₂×C₄	—	2	4	no	—
1129	C₂×C₄	—	2	8	no	—
1130	C₂×C₄	—	2	8	no	—
1131	C₂×C₄	—	2	4	no	—
1132	C₂×C₄	—	2	8	no	—
1133	C₂×C₄	—	2	8	no	—
1134	C₂×C₄	—	2	8	no	—
1135	C₂×C₄	—	4	8	no	—
1136	C₂×C₄	—	4	8	no	—
1137	C₂×C₄	—	4	8	no	—
1138	C₂×C₄	—	4	8	no	—
1139	C₂×C₄	—	4	8	no	—
1140	C₂×C₄	—	4	8	no	—
1141	C₂×C₄	—	4	8	no	—
1142	C₂×C₄	—	4	4	no	—
1143	C₂×C₄	—	4	4	no	—
1144	C₂×C₄	C₂×#131	1	4	yes	—
1145	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1146	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1147	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1148	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1149	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1150	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1151	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1152	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1153	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1154	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1155	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1156	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1157	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1158	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1159	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1160	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
1161	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1162	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1163	C₂×C₄	#585	1	2	yes	—
1164	C₂×C₄	C₂⁶	1	1	yes	characteristic
1165	C₈	—	2	2	no	—
1166	C₈	—	2	4	no	—
1167	C₈	—	2	4	no	—
1168	C₈	—	2	2	no	—
1169	C₈	—	2	4	no	—
1170	C₈	—	2	2	no	—
1171	C₈	—	2	2	no	—
1172	C₈	—	2	4	no	—
1173	C₈	—	2	2	no	—
1174	C₈	—	2	2	no	—
1175	C₈	—	2	2	no	—
1176	C₈	C₂×H(5,𝔽₂)	1	4	yes	—
1177	C₂²	—	2	2	no	—
1178	C₂²	—	2	4	no	—
1179	C₂²	—	2	8	no	—
1180	C₂²	—	2	16	no	—
1181	C₂²	—	2	2	no	—
1182	C₂²	—	2	4	no	—
1183	C₂²	—	2	2	no	—
1184	C₂²	—	2	2	no	—
1185	C₂²	—	2	4	no	—
1186	C₂²	—	2	4	no	—
1187	C₂²	—	2	2	no	—
1188	C₂²	—	2	2	no	—
1189	C₂²	—	2	4	no	—
1190	C₂²	—	2	4	no	—
1191	C₂²	—	2	2	no	—
1192	C₂²	—	2	4	no	—
1193	C₂²	—	2	4	no	—
1194	C₂²	—	2	2	no	—
1195	C₂²	—	4	32	no	—
1196	C₂²	—	4	4	no	—
1197	C₂²	—	4	8	no	—
1198	C₂²	—	4	8	no	—
1199	C₂²	—	4	4	no	—
1200	C₂²	—	8	16	no	—
1201	C₂²	C₄×H(5,𝔽₂)	1	2	yes	—
1202	C₂²	C₂²×#131	1	8	yes	—
1203	C₂²	C₂²×#131	1	2	yes	—
1204	C₂²	C₂×#568	1	4	yes	—
1205	C₂²	C₂×#568	1	2	yes	—
1206	C₂²	C₂⁵×C₄	1	1	yes	characteristic
1207	C₄	—	2	2	no	—
1208	C₄	—	2	2	no	—
1209	C₄	—	2	2	no	—
1210	C₄	—	2	4	no	—
1211	C₄	—	2	2	no	—
1212	C₄	—	2	2	no	—
1213	C₄	—	2	2	no	—
1214	C₄	—	2	4	no	—
1215	C₄	—	2	2	no	—
1216	C₄	—	2	2	no	—
1217	C₄	—	2	4	no	—
1218	C₄	—	2	2	no	—
1219	C₄	—	2	4	no	—
1220	C₄	—	2	4	no	—
1221	C₄	—	2	2	no	—
1222	C₄	C₄×H(5,𝔽₂)	1	2	yes	—
1223	C₄	C₂²×#131	1	4	yes	—
1224	C₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1225	C₄	C₂×#585	1	1	yes	characteristic
1226	C₂	—	2	4	no	—
1227	C₂	—	2	8	no	—
1228	C₂	—	4	2	no	—
1229	C₂	—	4	4	no	—
1230	C₂	—	4	4	no	—
1231	C₂	—	4	2	no	—
1232	C₂	#60311	1	4	yes	direct product factor
1233	C₂	C₂×C₄×H(5,𝔽₂)	1	1	yes	characteristic
1234	C₂	C₂³×#131	1	1	yes	characteristic
1235	C₂	C₂²×#568	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂⁵
commutator	C₂²	C₂⁵×C₄
Frattini, cosocle	C₂×C₄	C₂⁶
socle	C₂³	C₂⁴×C₄
prime radical	C₂×#3481	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₄ ◁ G
LECS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #60311	C₂	direct (N × H)
3. C₂×#2994	C₂	semidirect
4. C₂×#2993	C₂	semidirect
5. C₂×#2992	C₂	semidirect
6. C₂×#2990	C₂	semidirect
7. C₂×#2988	C₂	semidirect
8. C₂×#2981	C₂	semidirect
9. C₂×#2977	C₂	semidirect
10. C₂×#2976	C₂	semidirect
11. C₂×#2974	C₂	semidirect
12. C₂×#2974	C₂	semidirect
13. C₂×#2972	C₂	semidirect
14. C₂×#2970	C₂	semidirect
15. C₂×#2969	C₂	semidirect
16. C₂×#2968	C₂	semidirect
17. C₂×#2966	C₂	semidirect
18. C₂×#2965	C₂	semidirect
19. C₂×#2935	C₂	semidirect
20. C₂×D₄×M₁₆	C₂	semidirect
21. C₂×#2933	C₂	semidirect
22. C₂×#2929	C₂	semidirect
23. C₂²×#435	C₂	semidirect
24. C₂²×C₈×D₄	C₂	semidirect
25. C₂²×#131	C₂²	semidirect
26. C₂³×M₁₆	C₂²	semidirect
27. C₂⁴×C₈	C₂²	semidirect
53. #2994	C₂²	semidirect
54. #2993	C₂²	semidirect
55. #2992	C₂²	semidirect
56. #2990	C₂²	semidirect
57. #2988	C₂²	semidirect
58. #2981	C₂²	semidirect
59. #2977	C₂²	semidirect
60. #2976	C₂²	semidirect
61. #2974	C₂²	semidirect
62. #2974	C₂²	semidirect
63. #2972	C₂²	semidirect
64. #2970	C₂²	semidirect
65. #2969	C₂²	semidirect
66. #2968	C₂²	semidirect
67. #2966	C₂²	semidirect
68. #2965	C₂²	semidirect
69. C₂×#446	C₂²	semidirect
70. C₂×#446	C₂²	semidirect
71. C₂×#446	C₂²	semidirect
72. C₂×#446	C₂²	semidirect
73. C₂×#446	C₂²	semidirect
74. C₂×C₈×Q₈	C₂²	semidirect
75. C₂×C₈×Q₈	C₂²	semidirect
76. #2935	C₂²	semidirect
77. D₄×M₁₆	C₂²	semidirect
78. #2933	C₂²	semidirect
79. #2929	C₂²	semidirect
80. C₂×#436	C₂²	semidirect
81. C₂×#436	C₂²	semidirect
82. C₂×#436	C₂²	semidirect
83. C₂×#436	C₂²	semidirect
84. C₂×#436	C₂²	semidirect
85. C₂×#436	C₂²	semidirect
86. C₂×#436	C₂²	semidirect
87. C₂×#436	C₂²	semidirect
91. C₂×#435	C₂²	semidirect
92. C₂×#435	C₂²	semidirect
93. C₂×#435	C₂²	semidirect
94. C₂×#435	C₂²	semidirect
95. C₂×#435	C₂²	semidirect
96. C₂×#435	C₂²	semidirect
97. C₂×#435	C₂²	semidirect
98. C₂×#435	C₂²	semidirect
99. C₂×#435	C₂²	semidirect
100. C₂×#435	C₂²	semidirect
101. C₂×#435	C₂²	semidirect
102. C₂×#435	C₂²	semidirect
103. C₂×#435	C₂²	semidirect
104. C₂×#435	C₂²	semidirect
105. C₂×#435	C₂²	semidirect
106. C₂×#435	C₂²	semidirect
107. C₂×#435	C₂²	semidirect
108. C₂×#435	C₂²	semidirect
113. C₂×C₈×D₄	C₂²	semidirect
114. C₂×C₈×D₄	C₂²	semidirect
115. C₂×C₈×D₄	C₂²	semidirect
116. C₂×C₈×D₄	C₂²	semidirect
117. C₂×C₈×D₄	C₂²	semidirect
118. C₂×C₈×D₄	C₂²	semidirect
119. C₂×C₈×D₄	C₂²	semidirect
120. C₂×C₈×D₄	C₂²	semidirect
121. C₂×C₈×D₄	C₂²	semidirect
122. C₂×C₈×D₄	C₂²	semidirect
123. C₂×C₈×D₄	C₂²	semidirect
124. C₂×C₈×D₄	C₂²	semidirect
125. C₂×C₈×D₄	C₂²	semidirect
126. C₂×C₈×D₄	C₂²	semidirect
127. C₂×#433	C₂²	semidirect
128. C₂×#433	C₂²	semidirect
129. C₂×#433	C₂²	semidirect
130. C₂×#433	C₂²	semidirect
131. C₂×#432	C₂²	semidirect
132. C₂×#432	C₂²	semidirect
133. C₂×#432	C₂²	semidirect
134. C₂×#431	C₂²	semidirect
135. C₂×#431	C₂²	semidirect
136. C₂×#431	C₂²	semidirect
137. C₂×#431	C₂²	semidirect
138. C₂×#431	C₂²	semidirect
139. C₂×#424	C₂²	semidirect
140. C₂×#424	C₂²	semidirect
141. C₂×#423	C₂²	semidirect
142. C₂²×C₄⋊C₈	C₂²	semidirect
143. C₂²×C₄⋊C₈	C₂²	semidirect
144. C₂²×C₄⋊C₈	C₂²	semidirect
145. C₂×#408	C₂²	semidirect
146. C₂×#408	C₂²	semidirect
147. C₂×#408	C₂²	semidirect
148. C₂×#407	C₂²	semidirect
149. C₂×#407	C₂²	semidirect
150. C₂²×C₂²⋊C₈	C₂²	semidirect
151. C₂²×C₂²⋊C₈	C₂²	semidirect
152. C₂²×C₂²⋊C₈	C₂²	semidirect
153. C₂²×C₂²⋊C₈	C₂²	semidirect
154. C₂×#405	C₂²	semidirect
155. C₂×#405	C₂²	semidirect
156. C₂×C₄×M₁₆	C₂²	semidirect
157. C₂×C₄×M₁₆	C₂²	semidirect
158. C₂²×#97	C₂²	semidirect
159. C₂²×C₄×C₈	C₂²	semidirect
169. C₂×#131	C₂³	semidirect
180. C₂²×M₁₆	C₂³	semidirect
194. C₂³×C₈	C₂³	semidirect
320. #446	C₂³	semidirect
321. #446	C₂³	semidirect
322. #446	C₂³	semidirect
323. #446	C₂³	semidirect
324. #446	C₂³	semidirect
325. C₈×Q₈	C₂³	semidirect
326. C₈×Q₈	C₂³	semidirect
327. #436	C₂³	semidirect
328. #436	C₂³	semidirect
329. #436	C₂³	semidirect
330. #436	C₂³	semidirect
331. #436	C₂³	semidirect
332. #436	C₂³	semidirect
333. #436	C₂³	semidirect
334. #436	C₂³	semidirect
338. #435	C₂³	semidirect
339. #435	C₂³	semidirect
340. #435	C₂³	semidirect
341. #435	C₂³	semidirect
342. #435	C₂³	semidirect
343. #435	C₂³	semidirect
344. #435	C₂³	semidirect
345. #435	C₂³	semidirect
346. #435	C₂³	semidirect
347. #435	C₂³	semidirect
348. #435	C₂³	semidirect
349. #435	C₂³	semidirect
350. #435	C₂³	semidirect
351. #435	C₂³	semidirect
352. #435	C₂³	semidirect
353. #435	C₂³	semidirect
354. #435	C₂³	semidirect
359. C₈×D₄	C₂³	semidirect
360. C₈×D₄	C₂³	semidirect
361. C₈×D₄	C₂³	semidirect
362. C₈×D₄	C₂³	semidirect
363. C₈×D₄	C₂³	semidirect
364. C₈×D₄	C₂³	semidirect
365. C₈×D₄	C₂³	semidirect
366. C₈×D₄	C₂³	semidirect
367. C₈×D₄	C₂³	semidirect
368. C₈×D₄	C₂³	semidirect
369. C₈×D₄	C₂³	semidirect
370. C₈×D₄	C₂³	semidirect
371. C₈×D₄	C₂³	semidirect
372. #433	C₂³	semidirect
373. #433	C₂³	semidirect
374. #433	C₂³	semidirect
375. #433	C₂³	semidirect
376. #432	C₂³	semidirect
377. #432	C₂³	semidirect
378. #432	C₂³	semidirect
379. #431	C₂³	semidirect
380. #431	C₂³	semidirect
381. #431	C₂³	semidirect
382. #431	C₂³	semidirect
383. #431	C₂³	semidirect
384. #424	C₂³	semidirect
385. #424	C₂³	semidirect
386. #423	C₂³	semidirect
404. C₂×C₄⋊C₈	C₂³	semidirect
405. C₂×C₄⋊C₈	C₂³	semidirect
406. C₂×C₄⋊C₈	C₂³	semidirect
407. #408	C₂³	semidirect
408. #408	C₂³	semidirect
409. #408	C₂³	semidirect
410. #407	C₂³	semidirect
411. #407	C₂³	semidirect
433. C₂×C₂²⋊C₈	C₂³	semidirect
434. C₂×C₂²⋊C₈	C₂³	semidirect
435. C₂×C₂²⋊C₈	C₂³	semidirect
436. C₂×C₂²⋊C₈	C₂³	semidirect
437. #405	C₂³	semidirect
438. #405	C₂³	semidirect
439. C₄×M₁₆	C₂³	semidirect
440. C₄×M₁₆	C₂³	semidirect
449. C₂×#97	C₂³	semidirect
459. C₂×C₄×C₈	C₂³	semidirect
846. C₂×D₄	#131	semidirect
1096. D₄	C₂×#131	semidirect
1232. C₂	#60311	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#3481	2
#60311	2
C₂×#2994	2
C₂×#2993	2
C₂×#2992	2
C₂×#2990	2
C₂×#2988	2
C₂×#2981	2
C₂×#2977	2
C₂×#2976	2
C₂×#2974	2
C₂×#2972	2
C₂×#2970	2
C₂×#2969	2
C₂×#2968	2
C₂×#2966	2
C₂×#2965	2
C₂×#2935	2
C₂×D₄×M₁₆	2
C₂×#2933	2
C₂×#2929	2
C₂²×#435	2
C₂²×C₈×D₄	2

Subgroups — C2×#60311 #10574471

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#60311 #10574471