Subgroups — #6399845

Order 512.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1915 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₄×#135	C₂	1	1	yes	maximal, characteristic
2	#60240	C₂	1	1	yes	maximal, characteristic, complemented
3	#60146	C₂	1	1	yes	maximal, characteristic, complemented
4	#23180	C₂	1	1	yes	maximal, characteristic, complemented
5	#23147	C₂	1	1	yes	maximal, characteristic, complemented
6	#23146	C₂	1	1	yes	maximal, characteristic, complemented
7	#23115	C₂	1	1	yes	maximal, characteristic, complemented
8	#23017	C₂	1	1	yes	maximal, characteristic, complemented
9	#22889	C₂	1	1	yes	maximal, characteristic, complemented
10	#22887	C₂	1	1	yes	maximal, characteristic, complemented
11	#22886	C₂	1	1	yes	maximal, characteristic, complemented
12	#22886	C₂	1	1	yes	maximal, characteristic, complemented
13	#22782	C₂	1	1	yes	maximal, characteristic, complemented
14	#22717	C₂	1	1	yes	maximal, characteristic, complemented
15	#22454	C₂	1	1	yes	maximal, characteristic, complemented
16	#22452	C₂	1	1	yes	maximal, characteristic, complemented
17	#22434	C₂	1	1	yes	maximal, characteristic, complemented
18	#22434	C₂	1	1	yes	maximal, characteristic, complemented
19	#22282	C₂	1	1	yes	maximal, characteristic, complemented
20	#22206	C₂	1	1	yes	maximal, characteristic, complemented
21	#22204	C₂	1	1	yes	maximal, characteristic, complemented
22	#22167	C₂	1	1	yes	maximal, characteristic, complemented
23	#22062	C₂	1	1	yes	maximal, characteristic, complemented
24	#22061	C₂	1	1	yes	maximal, characteristic, complemented
25	#21519	C₂	1	1	yes	maximal, characteristic, complemented
26	#21468	C₂	1	1	yes	maximal, characteristic, complemented
27	#21467	C₂	1	1	yes	maximal, characteristic, complemented
28	#21140	C₂	1	1	yes	maximal, characteristic, complemented
29	#20919	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#1876	C₂	1	1	yes	maximal, characteristic, complemented
31	#20560	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#135	C₂²	1	1	yes	characteristic
33	C₂²×#135	C₂²	1	1	yes	characteristic
34	C₂×#568	C₂²	1	1	yes	characteristic, complemented
35	C₂²×#131	C₂²	1	1	yes	characteristic, complemented
36	D₄×#41	C₂²	1	1	yes	characteristic
37	D₄×#41	C₂²	1	1	yes	characteristic
38	#3287	C₄	1	1	yes	characteristic, complemented
39	D₄×Q₁₆	C₄	1	1	yes	characteristic, complemented
40	#3285	C₄	1	1	yes	characteristic, complemented
41	#3285	C₄	1	1	yes	characteristic, complemented
42	#3284	C₄	1	1	yes	characteristic, complemented
43	#3284	C₄	1	1	yes	characteristic, complemented
44	#3283	C₄	1	1	yes	characteristic, complemented
45	#3282	C₄	1	1	yes	characteristic, complemented
46	#3282	C₄	1	1	yes	characteristic, complemented
47	#3282	C₄	1	1	yes	characteristic, complemented
48	#3282	C₄	1	1	yes	characteristic, complemented
49	D₄×SD₁₆	C₄	1	1	yes	characteristic, complemented
50	D₄×SD₁₆	C₄	1	1	yes	characteristic, complemented
51	#3280	C₄	1	1	yes	characteristic, complemented
52	#3280	C₄	1	1	yes	characteristic, complemented
53	D₄×D₈	C₄	1	1	yes	characteristic, complemented
54	#3147	C₂²	1	1	yes	characteristic
55	#3050	C₂²	1	1	yes	characteristic
56	#3050	C₂²	1	1	yes	characteristic
57	#3035	C₂²	1	1	yes	characteristic
58	#3035	C₂²	1	1	yes	characteristic
59	#3002	C₂²	1	1	yes	characteristic
60	#3002	C₂²	1	1	yes	characteristic
61	#3002	C₂²	1	1	yes	characteristic
62	#3002	C₂²	1	1	yes	characteristic
63	#2981	—	2	1	no	—
64	#2980	—	2	1	no	—
65	#2978	—	2	1	no	—
66	#2977	—	2	1	no	—
67	#2976	—	2	1	no	—
68	#2976	—	2	1	no	—
69	#2974	—	2	1	no	—
70	#2973	—	2	1	no	—
71	C₂×#444	C₂²	1	1	yes	characteristic, complemented
72	C₂×#444	C₂²	1	1	yes	characteristic, complemented
73	C₂×#444	C₂²	1	1	yes	characteristic, complemented
74	C₂×#444	C₂²	1	1	yes	characteristic, complemented
75	C₂×#443	C₂²	1	1	yes	characteristic, complemented
76	C₂×#443	C₂²	1	1	yes	characteristic, complemented
77	C₄×#135	C₂²	1	1	yes	characteristic
78	#2935	—	2	1	no	—
79	#2935	C₂²	1	1	yes	characteristic, complemented
80	#2935	C₂²	1	1	yes	characteristic, complemented
81	D₄×M₁₆	—	2	1	no	—
82	D₄×M₁₆	C₂²	1	1	yes	characteristic
83	D₄×M₁₆	C₂²	1	1	yes	characteristic
84	#2933	—	2	1	no	—
85	#2933	—	2	1	no	—
86	#2933	C₂²	1	1	yes	characteristic, complemented
87	#2933	C₂²	1	1	yes	characteristic, complemented
88	#2933	C₂²	1	1	yes	characteristic, complemented
89	#2933	C₂²	1	1	yes	characteristic, complemented
90	#2932	—	2	1	no	—
91	#2932	C₂²	1	1	yes	characteristic, complemented
92	#2932	C₂²	1	1	yes	characteristic, complemented
93	#2930	—	2	1	no	—
94	#2930	C₂²	1	1	yes	characteristic, complemented
95	#2930	C₂²	1	1	yes	characteristic, complemented
96	#2929	—	2	1	no	—
97	#2929	C₂²	1	1	yes	characteristic, complemented
98	#2929	C₂²	1	1	yes	characteristic, complemented
99	C₂×#435	—	2	1	no	—
100	C₂×#435	C₂²	1	1	yes	characteristic
101	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
102	#2925	C₂²	1	1	yes	characteristic, complemented
103	#2923	C₂²	1	1	yes	characteristic, complemented
104	#2906	C₂²	1	1	yes	characteristic, complemented
105	C₂×#421	C₂²	1	1	yes	characteristic, complemented
106	C₂×#421	C₂²	1	1	yes	characteristic, complemented
107	C₂²×#104	C₂²	1	1	yes	characteristic, complemented
108	C₂²×#104	C₂²	1	1	yes	characteristic, complemented
109	#2880	C₂²	1	1	yes	characteristic, complemented
110	#2880	C₂²	1	1	yes	characteristic, complemented
111	#2880	C₂²	1	1	yes	characteristic, complemented
112	#2880	C₂²	1	1	yes	characteristic, complemented
113	#2879	C₂²	1	1	yes	characteristic, complemented
114	C₂×#408	C₂²	1	1	yes	characteristic, complemented
115	#2875	C₂²	1	1	yes	characteristic, complemented
116	#2290	C₂²	1	1	yes	characteristic
117	#1980	C₂²	1	1	yes	characteristic, complemented
118	#1980	C₂²	1	1	yes	characteristic, complemented
119	#1975	C₂²	1	1	yes	characteristic, complemented
120	#1975	C₂²	1	1	yes	characteristic, complemented
121	#1975	C₂²	1	1	yes	characteristic, complemented
122	#1975	C₂²	1	1	yes	characteristic, complemented
123	#1974	C₂²	1	1	yes	characteristic, complemented
124	#1974	C₂²	1	1	yes	characteristic, complemented
125	#1963	C₂²	1	1	yes	characteristic, complemented
126	#1963	C₂²	1	1	yes	characteristic, complemented
127	#1950	C₂²	1	1	yes	characteristic, complemented
128	#1950	C₂²	1	1	yes	characteristic, complemented
129	#1938	C₂²	1	1	yes	characteristic, complemented
130	#1938	C₂²	1	1	yes	characteristic, complemented
131	#1938	C₂²	1	1	yes	characteristic, complemented
132	#1938	C₂²	1	1	yes	characteristic, complemented
133	#1937	C₂²	1	1	yes	characteristic, complemented
134	#1937	C₂²	1	1	yes	characteristic, complemented
135	#1929	C₂²	1	1	yes	characteristic, complemented
136	#1929	C₂²	1	1	yes	characteristic, complemented
137	#1929	C₂²	1	1	yes	characteristic, complemented
138	#1929	C₂²	1	1	yes	characteristic, complemented
139	#1929	C₂²	1	1	yes	characteristic, complemented
140	#1929	C₂²	1	1	yes	characteristic, complemented
141	#1922	C₂²	1	1	yes	characteristic, complemented
142	#1922	C₂²	1	1	yes	characteristic, complemented
143	#1922	C₂²	1	1	yes	characteristic, complemented
144	#1922	C₂²	1	1	yes	characteristic, complemented
145	#1897	C₂²	1	1	yes	characteristic, complemented
146	#1897	C₂²	1	1	yes	characteristic, complemented
147	#1896	C₂²	1	1	yes	characteristic, complemented
148	#1896	C₂²	1	1	yes	characteristic, complemented
149	#1876	C₂²	1	1	yes	characteristic
150	#1876	C₂²	1	1	yes	characteristic
151	#1876	C₂²	1	1	yes	characteristic
152	#1876	C₂²	1	1	yes	characteristic
153	#1876	C₂²	1	1	yes	characteristic, complemented
154	#1876	C₂²	1	1	yes	characteristic, complemented
155	#1876	C₂²	1	1	yes	characteristic, complemented
156	#1876	C₂²	1	1	yes	characteristic, complemented
157	#1876	C₂²	1	1	yes	characteristic, complemented
158	#1876	C₂²	1	1	yes	characteristic, complemented
159	#1876	C₂²	1	1	yes	characteristic, complemented
160	#1876	C₂²	1	1	yes	characteristic, complemented
161	#1876	C₂²	1	1	yes	characteristic, complemented
162	#1876	C₂²	1	1	yes	characteristic, complemented
163	#1876	C₂²	1	1	yes	characteristic, complemented
164	#1876	C₂²	1	1	yes	characteristic, complemented
165	#1876	C₂²	1	1	yes	characteristic, complemented
166	#1876	C₂²	1	1	yes	characteristic, complemented
167	#1876	C₂²	1	1	yes	characteristic, complemented
168	#1876	C₂²	1	1	yes	characteristic, complemented
169	#1876	C₂²	1	1	yes	characteristic, complemented
170	#1876	C₂²	1	1	yes	characteristic, complemented
171	#1876	C₂²	1	1	yes	characteristic, complemented
172	#1876	C₂²	1	1	yes	characteristic, complemented
173	#1871	C₂²	1	1	yes	characteristic, complemented
174	#1871	C₂²	1	1	yes	characteristic, complemented
175	#1871	C₂²	1	1	yes	characteristic, complemented
176	#1871	C₂²	1	1	yes	characteristic, complemented
177	#1866	C₂²	1	1	yes	characteristic, complemented
178	#1866	C₂²	1	1	yes	characteristic, complemented
179	#1866	C₂²	1	1	yes	characteristic, complemented
180	#1866	C₂²	1	1	yes	characteristic, complemented
181	#1866	C₂²	1	1	yes	characteristic, complemented
182	#1866	C₂²	1	1	yes	characteristic, complemented
183	#1855	C₂²	1	1	yes	characteristic, complemented
184	#1855	C₂²	1	1	yes	characteristic, complemented
185	#1855	C₂²	1	1	yes	characteristic, complemented
186	#1855	C₂²	1	1	yes	characteristic, complemented
187	#1837	C₂²	1	1	yes	characteristic, complemented
188	#1810	C₂²	1	1	yes	characteristic, complemented
189	#1810	C₂²	1	1	yes	characteristic, complemented
190	#1806	C₂²	1	1	yes	characteristic, complemented
191	#1806	C₂²	1	1	yes	characteristic, complemented
192	#1789	C₂²	1	1	yes	characteristic, complemented
193	#1789	C₂²	1	1	yes	characteristic, complemented
194	#1789	C₂²	1	1	yes	characteristic, complemented
195	#1789	C₂²	1	1	yes	characteristic, complemented
196	C₄×#108	C₂²	1	1	yes	characteristic, complemented
197	#1771	C₂²	1	1	yes	characteristic, complemented
198	#1770	C₂²	1	1	yes	characteristic, complemented
199	#1768	C₂²	1	1	yes	characteristic, complemented
200	#1765	C₂²	1	1	yes	characteristic, complemented
201	#1765	C₂²	1	1	yes	characteristic, complemented
202	#1765	C₂²	1	1	yes	characteristic, complemented
203	#1765	C₂²	1	1	yes	characteristic, complemented
204	#1764	C₂²	1	1	yes	characteristic, complemented
205	#1764	C₂²	1	1	yes	characteristic, complemented
206	#1759	C₂²	1	1	yes	characteristic, complemented
207	#1759	C₂²	1	1	yes	characteristic, complemented
208	#1753	C₂²	1	1	yes	characteristic, complemented
209	#1752	C₂²	1	1	yes	characteristic, complemented
210	#1752	C₂²	1	1	yes	characteristic, complemented
211	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
212	#1750	C₂²	1	1	yes	characteristic, complemented
213	#1749	C₂²	1	1	yes	characteristic, complemented
214	#1746	C₂²	1	1	yes	characteristic, complemented
215	C₂×#341	C₂²	1	1	yes	characteristic, complemented
216	C₂×#341	C₂²	1	1	yes	characteristic, complemented
217	#1729	C₂²	1	1	yes	characteristic, complemented
218	C₂×#336	C₂²	1	1	yes	characteristic, complemented
219	C₂²×#41	C₂³	1	1	yes	characteristic
220	C₂²×#41	C₂³	1	1	yes	characteristic
221	C₂²×#41	C₂³	1	1	yes	characteristic
222	C₂²×#41	C₂³	1	1	yes	characteristic
223	C₂×#135	—	4	2	no	—
224	C₂×#135	—	4	2	no	—
225	C₂×#135	—	4	2	no	—
226	C₂×#135	—	4	2	no	—
227	C₂×#135	C₂×C₄	1	1	yes	characteristic
228	C₂×#135	C₂×C₄	1	1	yes	characteristic
229	C₂×#135	C₂×C₄	1	1	yes	characteristic
230	C₂×#135	C₂×C₄	1	1	yes	characteristic
231	C₂×#135	C₂×C₄	1	1	yes	characteristic, complemented
232	C₂×#135	C₂×C₄	1	1	yes	characteristic, complemented
233	C₂×#135	C₂×C₄	1	1	yes	characteristic, complemented
234	C₂×#135	C₂×C₄	1	1	yes	characteristic, complemented
235	C₂×#135	C₂³	1	1	yes	characteristic
236	C₂×#135	C₂³	1	1	yes	characteristic
237	C₂×#135	C₂³	1	1	yes	characteristic
238	C₂×#135	C₂³	1	1	yes	characteristic
239	C₂×#135	C₂³	1	1	yes	characteristic
240	C₂×#135	C₂³	1	1	yes	characteristic
241	C₂×#135	C₂³	1	1	yes	characteristic
242	C₂×#135	C₂³	1	1	yes	characteristic
243	C₂×#135	C₂³	1	1	yes	characteristic
244	C₂²×Q₁₆	C₂×C₄	1	1	yes	characteristic
245	C₂²×Q₁₆	C₂×C₄	1	1	yes	characteristic, complemented
246	C₂²×SD₁₆	C₂×C₄	1	1	yes	characteristic
247	C₂²×SD₁₆	C₂×C₄	1	1	yes	characteristic
248	C₂²×SD₁₆	C₂×C₄	1	1	yes	characteristic, complemented
249	C₂²×SD₁₆	C₂×C₄	1	1	yes	characteristic, complemented
250	C₂²×D₈	C₂×C₄	1	1	yes	characteristic
251	C₂²×D₈	C₂×C₄	1	1	yes	characteristic, complemented
252	#568	—	4	2	no	—
253	#568	—	4	2	no	—
254	C₂×#131	—	2	1	no	—
255	C₂×#131	—	2	1	no	—
256	C₂×#131	—	2	1	no	—
257	C₂×#131	—	2	1	no	—
258	C₂×#131	—	4	2	no	—
259	C₂×#131	—	4	2	no	—
260	C₂×#131	C₂³	1	1	yes	characteristic
261	C₂×#131	C₂³	1	1	yes	characteristic
262	C₂×#131	C₂³	1	1	yes	characteristic
263	C₂×#131	C₂³	1	1	yes	characteristic
264	C₂×#131	C₂³	1	1	yes	characteristic
265	C₂×#131	C₂³	1	1	yes	characteristic
266	C₂×#131	C₂³	1	1	yes	characteristic
267	C₂×#131	C₂³	1	1	yes	characteristic
268	C₂×#131	C₂³	1	1	yes	characteristic
269	C₂×#131	C₂³	1	1	yes	characteristic
270	C₂×#131	C₂³	1	1	yes	characteristic
271	C₂×#131	C₂³	1	1	yes	characteristic
272	C₂²×M₁₆	—	2	1	no	—
273	C₂²×M₁₆	—	2	1	no	—
274	C₂²×M₁₆	—	2	1	no	—
275	C₂²×M₁₆	C₂³	1	1	yes	characteristic
276	C₂²×M₁₆	C₂³	1	1	yes	characteristic
277	C₂²×M₁₆	C₂³	1	1	yes	characteristic
278	C₂²×M₁₆	C₂³	1	1	yes	characteristic
279	C₂²×M₁₆	C₂³	1	1	yes	characteristic
280	C₂³×C₈	—	2	1	no	—
281	C₂³×C₈	C₂³	1	1	yes	characteristic
282	C₂³×C₈	C₂³	1	1	yes	characteristic
283	C₂³×C₈	C₂³	1	1	yes	characteristic
284	#550	C₂×C₄	1	1	yes	characteristic
285	#550	C₂×C₄	1	1	yes	characteristic
286	D₄×Q₈	C₂×C₄	1	1	yes	characteristic
287	D₄×Q₈	C₂×C₄	1	1	yes	characteristic
288	#548	C₂×C₄	1	1	yes	characteristic
289	#548	C₂×C₄	1	1	yes	characteristic
290	#548	C₂×C₄	1	1	yes	characteristic
291	#548	C₂×C₄	1	1	yes	characteristic
292	#547	—	2	1	no	—
293	#547	—	2	1	no	—
294	#547	C₂×C₄	1	1	yes	characteristic
295	#547	C₂×C₄	1	1	yes	characteristic
296	#546	—	2	1	no	—
297	#546	—	2	1	no	—
298	#546	—	2	1	no	—
299	#546	—	2	1	no	—
300	#546	C₂×C₄	1	1	yes	characteristic
301	#546	C₂×C₄	1	1	yes	characteristic
302	#546	C₂×C₄	1	1	yes	characteristic
303	#546	C₂×C₄	1	1	yes	characteristic
304	D₄²	—	2	1	no	—
305	D₄²	—	2	1	no	—
306	D₄²	C₂×C₄	1	1	yes	characteristic
307	D₄²	C₂×C₄	1	1	yes	characteristic
308	#532	—	2	1	no	—
309	#532	—	2	1	no	—
310	#532	C₂³	1	1	yes	characteristic
311	#532	C₂³	1	1	yes	characteristic
312	#525	—	2	1	no	—
313	#525	—	2	1	no	—
314	#525	—	2	1	no	—
315	#525	—	2	1	no	—
316	#525	C₂³	1	1	yes	characteristic
317	#525	C₂³	1	1	yes	characteristic
318	#525	C₂³	1	1	yes	characteristic
319	#525	C₂³	1	1	yes	characteristic
320	C₄×#41	C₂³	1	1	yes	characteristic
321	C₄×#41	C₂³	1	1	yes	characteristic
322	C₂×C₄×D₄	—	2	1	no	—
323	C₂×C₄×D₄	—	2	1	no	—
324	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
325	C₂×#117	C₂³	1	1	yes	characteristic
326	C₂²×C₄²	C₂³	1	1	yes	characteristic
327	#495	C₂×C₄	1	1	yes	characteristic, complemented
328	#495	C₂×C₄	1	1	yes	characteristic, complemented
329	#495	C₂×C₄	1	1	yes	characteristic, complemented
330	#495	C₂×C₄	1	1	yes	characteristic, complemented
331	#494	C₂×C₄	1	1	yes	characteristic, complemented
332	#493	C₂×C₄	1	1	yes	characteristic, complemented
333	#492	C₂×C₄	1	1	yes	characteristic, complemented
334	#492	C₂×C₄	1	1	yes	characteristic, complemented
335	#467	C₂×C₄	1	1	yes	characteristic
336	#467	C₂×C₄	1	1	yes	characteristic
337	#467	C₂×C₄	1	1	yes	characteristic, complemented
338	#467	C₂×C₄	1	1	yes	characteristic, complemented
339	#466	C₂×C₄	1	1	yes	characteristic
340	#466	C₂×C₄	1	1	yes	characteristic
341	#466	C₂×C₄	1	1	yes	characteristic, complemented
342	#466	C₂×C₄	1	1	yes	characteristic, complemented
343	#465	C₂×C₄	1	1	yes	characteristic
344	#465	C₂×C₄	1	1	yes	characteristic
345	#465	C₂×C₄	1	1	yes	characteristic
346	#465	C₂×C₄	1	1	yes	characteristic
347	#465	C₂×C₄	1	1	yes	characteristic, complemented
348	#465	C₂×C₄	1	1	yes	characteristic, complemented
349	#465	C₂×C₄	1	1	yes	characteristic, complemented
350	#465	C₂×C₄	1	1	yes	characteristic, complemented
351	#464	C₂×C₄	1	1	yes	characteristic, complemented
352	#464	C₂×C₄	1	1	yes	characteristic, complemented
353	#464	C₂×C₄	1	1	yes	characteristic, complemented
354	#464	C₂×C₄	1	1	yes	characteristic, complemented
355	#463	C₂×C₄	1	1	yes	characteristic, complemented
356	#463	C₂×C₄	1	1	yes	characteristic, complemented
357	#463	C₂×C₄	1	1	yes	characteristic, complemented
358	#463	C₂×C₄	1	1	yes	characteristic, complemented
359	#462	C₂×C₄	1	1	yes	characteristic, complemented
360	#462	C₂×C₄	1	1	yes	characteristic, complemented
361	#461	C₂×C₄	1	1	yes	characteristic, complemented
362	#461	C₂×C₄	1	1	yes	characteristic, complemented
363	#460	C₂×C₄	1	1	yes	characteristic, complemented
364	#460	C₂×C₄	1	1	yes	characteristic, complemented
365	#459	C₂×C₄	1	1	yes	characteristic, complemented
366	#459	C₂×C₄	1	1	yes	characteristic, complemented
367	#452	C₂×C₄	1	1	yes	characteristic
368	#452	C₂×C₄	1	1	yes	characteristic
369	#452	C₂×C₄	1	1	yes	characteristic
370	#452	C₂×C₄	1	1	yes	characteristic
371	#452	C₂×C₄	1	1	yes	characteristic, complemented
372	#452	C₂×C₄	1	1	yes	characteristic, complemented
373	#452	C₂×C₄	1	1	yes	characteristic, complemented
374	#452	C₂×C₄	1	1	yes	characteristic, complemented
375	#451	C₂×C₄	1	1	yes	characteristic
376	#451	C₂×C₄	1	1	yes	characteristic
377	#451	C₂×C₄	1	1	yes	characteristic, complemented
378	#451	C₂×C₄	1	1	yes	characteristic, complemented
379	#450	C₂×C₄	1	1	yes	characteristic
380	#450	C₂×C₄	1	1	yes	characteristic
381	#450	C₂×C₄	1	1	yes	characteristic, complemented
382	#450	C₂×C₄	1	1	yes	characteristic, complemented
383	#449	C₂×C₄	1	1	yes	characteristic
384	#449	C₂×C₄	1	1	yes	characteristic
385	#449	C₂×C₄	1	1	yes	characteristic
386	#449	C₂×C₄	1	1	yes	characteristic
387	#449	C₂×C₄	1	1	yes	characteristic, complemented
388	#449	C₂×C₄	1	1	yes	characteristic, complemented
389	#449	C₂×C₄	1	1	yes	characteristic, complemented
390	#449	C₂×C₄	1	1	yes	characteristic, complemented
391	#448	C₂×C₄	1	1	yes	characteristic
392	#448	C₂×C₄	1	1	yes	characteristic
393	#448	C₂×C₄	1	1	yes	characteristic, complemented
394	#448	C₂×C₄	1	1	yes	characteristic, complemented
395	#447	C₂×C₄	1	1	yes	characteristic
396	#447	C₂×C₄	1	1	yes	characteristic
397	#447	C₂×C₄	1	1	yes	characteristic, complemented
398	#447	C₂×C₄	1	1	yes	characteristic, complemented
399	#444	—	4	2	no	—
400	#444	—	4	2	no	—
401	#444	—	4	2	no	—
402	#444	—	4	2	no	—
403	#443	—	4	2	no	—
404	#443	—	4	2	no	—
405	C₄×Q₁₆	C₂×C₄	1	1	yes	characteristic, complemented
406	C₄×Q₁₆	C₂×C₄	1	1	yes	characteristic, complemented
407	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic, complemented
408	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic, complemented
409	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic, complemented
410	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic, complemented
411	C₄×D₈	C₂×C₄	1	1	yes	characteristic, complemented
412	C₄×D₈	C₂×C₄	1	1	yes	characteristic, complemented
413	#436	—	2	1	no	—
414	#436	—	2	1	no	—
415	#436	—	2	1	no	—
416	#436	—	2	1	no	—
417	#436	—	2	1	no	—
418	#436	—	2	1	no	—
419	#436	—	2	1	no	—
420	#436	—	2	1	no	—
421	#436	—	2	1	no	—
422	#436	—	2	1	no	—
423	#436	—	2	1	no	—
424	#436	—	2	1	no	—
425	#435	—	2	1	no	—
426	#435	—	2	1	no	—
427	#435	—	2	1	no	—
428	#435	—	2	1	no	—
429	#435	—	2	1	no	—
430	#435	—	2	1	no	—
431	#435	—	2	1	no	—
432	#435	—	2	1	no	—
433	#435	—	2	1	no	—
434	#435	—	2	1	no	—
435	#435	—	2	1	no	—
436	#435	—	2	1	no	—
437	#435	—	2	1	no	—
438	#435	—	2	1	no	—
439	#435	—	2	1	no	—
440	#435	—	2	1	no	—
441	#435	—	2	1	no	—
442	#435	—	2	1	no	—
443	#435	—	2	1	no	—
444	#435	—	2	1	no	—
445	#435	—	2	1	no	—
446	#435	—	2	1	no	—
447	#435	—	2	1	no	—
448	#435	—	2	1	no	—
449	#435	—	2	1	no	—
450	#435	—	2	1	no	—
451	#435	—	2	1	no	—
452	#435	—	2	1	no	—
453	#435	—	2	1	no	—
454	#435	—	2	1	no	—
455	#435	—	2	1	no	—
456	#435	—	2	1	no	—
457	#435	D₄	1	1	yes	characteristic
458	#435	D₄	1	1	yes	characteristic
459	#435	D₄	1	1	yes	characteristic
460	#435	D₄	1	1	yes	characteristic
461	#435	D₄	1	1	yes	characteristic
462	#435	D₄	1	1	yes	characteristic
463	#435	D₄	1	1	yes	characteristic
464	#435	D₄	1	1	yes	characteristic
465	C₈×D₄	—	2	1	no	—
466	C₈×D₄	—	2	1	no	—
467	C₈×D₄	—	2	1	no	—
468	C₈×D₄	—	2	1	no	—
469	C₈×D₄	—	2	1	no	—
470	C₈×D₄	—	2	1	no	—
471	C₈×D₄	—	2	1	no	—
472	C₈×D₄	—	2	1	no	—
473	C₈×D₄	—	2	1	no	—
474	C₈×D₄	—	2	1	no	—
475	C₈×D₄	—	2	1	no	—
476	C₈×D₄	—	2	1	no	—
477	C₈×D₄	C₂×C₄	1	1	yes	characteristic
478	C₈×D₄	C₂×C₄	1	1	yes	characteristic
479	C₈×D₄	C₂×C₄	1	1	yes	characteristic
480	C₈×D₄	C₂×C₄	1	1	yes	characteristic
481	C₈×D₄	C₂×C₄	1	1	yes	characteristic
482	C₈×D₄	C₂×C₄	1	1	yes	characteristic
483	C₈×D₄	C₂×C₄	1	1	yes	characteristic
484	C₈×D₄	C₂×C₄	1	1	yes	characteristic
485	#433	—	2	1	no	—
486	#433	—	2	1	no	—
487	#433	—	2	1	no	—
488	#433	—	2	1	no	—
489	#432	—	2	1	no	—
490	#432	—	2	1	no	—
491	#432	—	2	1	no	—
492	#431	—	2	1	no	—
493	C₂×#108	C₂³	1	1	yes	characteristic
494	C₂×#108	C₂³	1	1	yes	characteristic
495	C₂×#108	C₂³	1	1	yes	characteristic
496	C₂×#108	C₂³	1	1	yes	characteristic
497	C₂×#108	C₂³	1	1	yes	characteristic
498	C₂×#108	C₂³	1	1	yes	characteristic
499	#427	C₂³	1	1	yes	characteristic
500	#424	—	2	1	no	—
501	#424	—	2	1	no	—
502	#424	C₂³	1	1	yes	characteristic
503	#424	C₂³	1	1	yes	characteristic
504	#424	C₂³	1	1	yes	characteristic
505	#424	C₂³	1	1	yes	characteristic
506	#423	—	2	1	no	—
507	#423	C₂³	1	1	yes	characteristic
508	#423	C₂³	1	1	yes	characteristic
509	C₂×C₄⋊C₈	—	2	1	no	—
510	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
511	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
512	#421	—	4	2	no	—
513	#421	—	4	2	no	—
514	C₂×#104	—	4	2	no	—
515	C₂×#104	—	4	2	no	—
516	C₂×#104	C₂³	1	1	yes	characteristic
517	C₂×#104	C₂³	1	1	yes	characteristic
518	C₂×#104	C₂³	1	1	yes	characteristic
519	C₂×#104	C₂³	1	1	yes	characteristic
520	C₂×#104	C₂³	1	1	yes	characteristic
521	C₂×#104	C₂³	1	1	yes	characteristic
522	C₂×#104	C₂³	1	1	yes	characteristic
523	C₂×#104	C₂³	1	1	yes	characteristic
524	C₂×#104	C₂³	1	1	yes	characteristic
525	C₂×#104	C₂³	1	1	yes	characteristic
526	C₂×#104	C₂³	1	1	yes	characteristic
527	C₂×#104	C₂³	1	1	yes	characteristic
528	C₂×#104	C₂³	1	1	yes	characteristic
529	C₂×#104	C₂³	1	1	yes	characteristic
530	C₂×#104	C₂³	1	1	yes	characteristic
531	C₂×#104	C₂³	1	1	yes	characteristic
532	C₂×#104	C₂³	1	1	yes	characteristic
533	C₂×#104	C₂³	1	1	yes	characteristic
534	C₂×#104	C₂³	1	1	yes	characteristic
535	C₂×#104	C₂³	1	1	yes	characteristic
536	C₂×#104	C₂³	1	1	yes	characteristic
537	C₂×#104	C₂³	1	1	yes	characteristic
538	C₂×#104	C₂³	1	1	yes	characteristic
539	C₂×#104	C₂³	1	1	yes	characteristic
540	#416	C₂³	1	1	yes	characteristic
541	#416	C₂³	1	1	yes	characteristic
542	#416	C₂³	1	1	yes	characteristic
543	#416	C₂³	1	1	yes	characteristic
544	#416	C₂³	1	1	yes	characteristic
545	#416	C₂³	1	1	yes	characteristic
546	#408	—	2	1	no	—
547	#408	—	2	1	no	—
548	#408	—	2	1	no	—
549	#408	—	2	1	no	—
550	#408	—	2	1	no	—
551	#408	—	2	1	no	—
552	#408	—	2	1	no	—
553	#408	—	2	1	no	—
554	#408	—	2	1	no	—
555	#408	—	2	1	no	—
556	#408	—	2	1	no	—
557	#408	—	2	1	no	—
558	#408	C₂³	1	1	yes	characteristic
559	#408	C₂³	1	1	yes	characteristic
560	#408	C₂³	1	1	yes	characteristic
561	#408	C₂³	1	1	yes	characteristic
562	#408	C₂³	1	1	yes	characteristic
563	#408	C₂³	1	1	yes	characteristic
564	#408	C₂³	1	1	yes	characteristic
565	#408	C₂³	1	1	yes	characteristic
566	#408	C₂³	1	1	yes	characteristic
567	#408	C₂³	1	1	yes	characteristic
568	#408	C₂³	1	1	yes	characteristic
569	#408	C₂³	1	1	yes	characteristic
570	#407	—	2	1	no	—
571	#407	—	2	1	no	—
572	#407	—	2	1	no	—
573	#407	—	2	1	no	—
574	#407	—	2	1	no	—
575	#407	—	2	1	no	—
576	#407	C₂³	1	1	yes	characteristic
577	#407	C₂³	1	1	yes	characteristic
578	#407	C₂³	1	1	yes	characteristic
579	#407	C₂³	1	1	yes	characteristic
580	C₂×C₂²⋊C₈	—	2	1	no	—
581	C₂×C₂²⋊C₈	—	2	1	no	—
582	C₂×C₂²⋊C₈	—	2	1	no	—
583	C₂×C₂²⋊C₈	—	2	1	no	—
584	C₂×C₂²⋊C₈	—	2	1	no	—
585	C₂×C₂²⋊C₈	—	2	1	no	—
586	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
587	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
588	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
589	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
590	#405	—	2	1	no	—
591	#405	—	2	1	no	—
592	#405	C₂³	1	1	yes	characteristic
593	#405	C₂³	1	1	yes	characteristic
594	#405	C₂³	1	1	yes	characteristic
595	#405	C₂³	1	1	yes	characteristic
596	C₄×M₁₆	—	2	1	no	—
597	C₄×M₁₆	C₂³	1	1	yes	characteristic
598	C₄×M₁₆	C₂³	1	1	yes	characteristic
599	C₂×#97	—	2	1	no	—
600	C₂×#97	C₂³	1	1	yes	characteristic
601	C₂×#97	C₂³	1	1	yes	characteristic
602	C₂×#97	C₂³	1	1	yes	characteristic
603	C₂×#97	C₂³	1	1	yes	characteristic
604	C₂×#97	C₂³	1	1	yes	characteristic
605	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
606	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
607	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
608	#388	—	2	1	no	—
609	#387	—	2	1	no	—
610	#386	—	2	1	no	—
611	#385	—	2	1	no	—
612	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
613	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
614	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
615	#376	C₂³	1	1	yes	characteristic
616	#341	C₂³	1	1	yes	characteristic
617	#341	C₂³	1	1	yes	characteristic
618	#341	C₂³	1	1	yes	characteristic
619	#341	C₂³	1	1	yes	characteristic
620	#341	C₂³	1	1	yes	characteristic
621	#341	C₂³	1	1	yes	characteristic
622	#341	C₂³	1	1	yes	characteristic
623	#341	C₂³	1	1	yes	characteristic
624	#341	C₂³	1	1	yes	characteristic
625	#341	C₂³	1	1	yes	characteristic
626	#339	C₂³	1	1	yes	characteristic
627	#339	C₂³	1	1	yes	characteristic
628	#339	C₂³	1	1	yes	characteristic
629	#339	C₂³	1	1	yes	characteristic
630	#339	C₂³	1	1	yes	characteristic
631	#339	C₂³	1	1	yes	characteristic
632	#339	C₂³	1	1	yes	characteristic
633	#339	C₂³	1	1	yes	characteristic
634	#336	C₂³	1	1	yes	characteristic
635	#336	C₂³	1	1	yes	characteristic
636	#336	C₂³	1	1	yes	characteristic
637	#336	C₂³	1	1	yes	characteristic
638	#336	C₂³	1	1	yes	characteristic
639	#336	C₂³	1	1	yes	characteristic
640	#336	C₂³	1	1	yes	characteristic
641	#336	C₂³	1	1	yes	characteristic
642	#336	C₂³	1	1	yes	characteristic
643	#336	C₂³	1	1	yes	characteristic
644	C₂×#41	—	2	1	no	—
645	C₂×#41	—	2	1	no	—
646	C₂×#41	—	2	1	no	—
647	C₂×#41	—	2	1	no	—
648	C₂×#41	—	2	1	no	—
649	C₂×#41	—	2	1	no	—
650	C₂×#41	—	2	1	no	—
651	C₂×#41	—	2	1	no	—
652	C₂×#41	—	2	2	no	—
653	C₂×#41	—	2	2	no	—
654	C₂×#41	—	2	2	no	—
655	C₂×#41	—	2	2	no	—
656	C₂×#41	—	4	1	no	—
657	C₂×#41	—	4	1	no	—
658	C₂×#41	—	4	1	no	—
659	C₂×#41	—	4	1	no	—
660	C₂×#41	—	4	1	no	—
661	C₂×#41	—	4	1	no	—
662	C₂×#41	—	4	1	no	—
663	C₂×#41	—	4	1	no	—
664	C₂×#41	—	4	1	no	—
665	C₂×#41	—	4	1	no	—
666	C₂×#41	—	4	1	no	—
667	C₂×#41	—	4	1	no	—
668	C₂×#41	C₂²×C₄	1	1	yes	characteristic
669	C₂×#41	C₂²×C₄	1	1	yes	characteristic
670	C₂×#41	C₂²×C₄	1	1	yes	characteristic
671	C₂×#41	C₂²×C₄	1	1	yes	characteristic
672	C₂×#41	C₂²×C₄	1	1	yes	characteristic
673	C₂×#41	C₂²×C₄	1	1	yes	characteristic
674	C₂×#41	C₂²×C₄	1	1	yes	characteristic
675	C₂×#41	C₂²×C₄	1	1	yes	characteristic
676	C₂×#41	C₂⁴	1	1	yes	characteristic
677	C₂×#41	C₂⁴	1	1	yes	characteristic
678	C₂×#41	C₂⁴	1	1	yes	characteristic
679	C₂×#41	C₂⁴	1	1	yes	characteristic
680	C₂×#41	C₂⁴	1	1	yes	characteristic
681	C₂×#41	C₂⁴	1	1	yes	characteristic
682	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
683	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
684	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
685	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
686	C₂²×D₄	—	2	1	no	—
687	C₂²×D₄	—	2	1	no	—
688	C₂²×D₄	—	2	1	no	—
689	C₂²×D₄	—	2	1	no	—
690	C₂²×D₄	—	2	1	no	—
691	C₂²×D₄	—	2	1	no	—
692	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
693	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
694	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
695	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
696	C₂²×D₄	#41	1	1	yes	characteristic
697	C₂³×C₄	—	2	1	no	—
698	C₂³×C₄	—	2	1	no	—
699	C₂³×C₄	—	2	1	no	—
700	C₂³×C₄	—	2	1	no	—
701	C₂³×C₄	—	2	1	no	—
702	C₂³×C₄	C₂⁴	1	1	yes	characteristic
703	C₂³×C₄	C₂⁴	1	1	yes	characteristic
704	#135	—	2	2	no	—
705	#135	—	2	2	no	—
706	#135	—	2	2	no	—
707	#135	—	2	2	no	—
708	#135	—	2	2	no	—
709	#135	—	2	2	no	—
710	#135	—	4	1	no	—
711	#135	—	4	1	no	—
712	#135	—	4	1	no	—
713	#135	—	4	1	no	—
714	#135	—	4	1	no	—
715	#135	—	4	1	no	—
716	#135	—	4	1	no	—
717	#135	—	4	1	no	—
718	#135	—	4	1	no	—
719	#135	—	4	1	no	—
720	#135	—	4	1	no	—
721	#135	—	4	1	no	—
722	#135	—	4	2	no	—
723	#135	—	4	2	no	—
724	#135	—	4	2	no	—
725	#135	—	4	2	no	—
726	#135	—	4	2	no	—
727	#135	—	4	2	no	—
728	#135	—	4	2	no	—
729	#135	—	4	2	no	—
730	C₂×Q₁₆	—	4	2	no	—
731	C₂×Q₁₆	—	4	2	no	—
732	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
733	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
734	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
735	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
736	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
737	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
738	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
739	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
740	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
741	C₂×SD₁₆	—	4	2	no	—
742	C₂×SD₁₆	—	4	2	no	—
743	C₂×SD₁₆	—	4	2	no	—
744	C₂×SD₁₆	—	4	2	no	—
745	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
746	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
747	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
748	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
749	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
750	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
751	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
752	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
753	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
754	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
755	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
756	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
757	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
758	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
759	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
760	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
761	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
762	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
763	C₂×D₈	—	4	2	no	—
764	C₂×D₈	—	4	2	no	—
765	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
766	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
767	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
768	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
769	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
770	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
771	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
772	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
773	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
774	#131	—	2	2	no	—
775	#131	—	2	2	no	—
776	#131	—	2	2	no	—
777	#131	—	2	2	no	—
778	#131	—	2	2	no	—
779	#131	—	2	2	no	—
780	#131	—	2	2	no	—
781	#131	—	4	1	no	—
782	#131	—	4	1	no	—
783	#131	—	4	1	no	—
784	#131	—	4	1	no	—
785	#131	—	4	1	no	—
786	#131	—	4	1	no	—
787	#131	—	4	1	no	—
788	#131	—	4	1	no	—
789	#131	—	4	1	no	—
790	#131	—	4	4	no	—
791	#131	—	4	4	no	—
792	#131	—	4	1	no	—
793	#131	—	4	1	no	—
794	#131	—	4	1	no	—
795	#131	—	4	1	no	—
796	#131	—	4	1	no	—
797	#131	—	4	1	no	—
798	#131	—	4	1	no	—
799	#131	—	4	1	no	—
800	#131	—	4	4	no	—
801	#131	—	4	4	no	—
802	C₂×M₁₆	—	2	1	no	—
803	C₂×M₁₆	—	2	1	no	—
804	C₂×M₁₆	—	2	1	no	—
805	C₂×M₁₆	—	2	1	no	—
806	C₂×M₁₆	—	2	1	no	—
807	C₂×M₁₆	—	2	1	no	—
808	C₂×M₁₆	—	2	1	no	—
809	C₂×M₁₆	—	2	1	no	—
810	C₂×M₁₆	—	2	1	no	—
811	C₂×M₁₆	—	2	1	no	—
812	C₂×M₁₆	—	2	1	no	—
813	C₂×M₁₆	—	2	1	no	—
814	C₂×M₁₆	—	2	1	no	—
815	C₂×M₁₆	—	2	1	no	—
816	C₂×M₁₆	—	2	1	no	—
817	C₂×M₁₆	—	2	1	no	—
818	C₂×M₁₆	—	2	2	no	—
819	C₂×M₁₆	—	2	2	no	—
820	C₂×M₁₆	—	4	1	no	—
821	C₂×M₁₆	—	4	1	no	—
822	C₂×M₁₆	—	4	4	no	—
823	C₂×M₁₆	—	4	1	no	—
824	C₂×M₁₆	—	4	1	no	—
825	C₂×M₁₆	—	4	4	no	—
826	C₂×M₁₆	—	4	4	no	—
827	C₂×M₁₆	—	4	1	no	—
828	C₂×M₁₆	—	4	1	no	—
829	C₂×M₁₆	—	4	1	no	—
830	C₂×M₁₆	—	4	1	no	—
831	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
832	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
833	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
834	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
835	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
836	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
837	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
838	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
839	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
840	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
841	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
842	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
843	C₂²×C₈	—	2	1	no	—
844	C₂²×C₈	—	2	1	no	—
845	C₂²×C₈	—	2	1	no	—
846	C₂²×C₈	—	2	1	no	—
847	C₂²×C₈	—	2	1	no	—
848	C₂²×C₈	—	2	1	no	—
849	C₂²×C₈	—	2	1	no	—
850	C₂²×C₈	—	2	1	no	—
851	C₂²×C₈	—	2	1	no	—
852	C₂²×C₈	—	2	1	no	—
853	C₂²×C₈	—	2	1	no	—
854	C₂²×C₈	—	2	1	no	—
855	C₂²×C₈	—	2	1	no	—
856	C₂²×C₈	—	2	1	no	—
857	C₂²×C₈	—	2	1	no	—
858	C₂²×C₈	—	2	1	no	—
859	C₂²×C₈	—	4	1	no	—
860	C₂²×C₈	—	4	1	no	—
861	C₂²×C₈	—	4	1	no	—
862	C₂²×C₈	—	4	1	no	—
863	C₂²×C₈	—	4	1	no	—
864	C₂²×C₈	—	4	1	no	—
865	C₂²×C₈	—	4	4	no	—
866	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
867	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
868	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
869	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
870	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
871	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
872	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
873	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
874	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
875	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
876	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
877	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
878	C₂²×C₈	C₂⁴	1	1	yes	characteristic
879	C₂²×C₈	C₂⁴	1	1	yes	characteristic
880	C₂²×C₈	C₂⁴	1	1	yes	characteristic
881	C₂²×C₈	C₂⁴	1	1	yes	characteristic
882	C₂²×C₈	C₂⁴	1	1	yes	characteristic
883	C₂²×C₈	C₂⁴	1	1	yes	characteristic
884	C₂²×C₈	C₂⁴	1	1	yes	characteristic
885	C₂²×C₈	C₂⁴	1	1	yes	characteristic
886	C₄⋊Q₈	—	2	1	no	—
887	C₄⋊Q₈	—	2	1	no	—
888	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
889	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
890	#127	—	2	1	no	—
891	#127	—	2	1	no	—
892	#127	C₂²×C₄	1	1	yes	characteristic
893	#127	C₂²×C₄	1	1	yes	characteristic
894	#124	—	2	1	no	—
895	#124	—	2	1	no	—
896	#124	—	2	1	no	—
897	#124	—	2	1	no	—
898	#124	C₂²×C₄	1	1	yes	characteristic
899	#124	C₂²×C₄	1	1	yes	characteristic
900	#124	C₂²×C₄	1	1	yes	characteristic
901	#124	C₂²×C₄	1	1	yes	characteristic
902	#123	—	2	1	no	—
903	#123	—	2	1	no	—
904	#123	—	2	1	no	—
905	#123	—	2	1	no	—
906	#123	—	2	1	no	—
907	#123	—	2	1	no	—
908	#123	—	2	1	no	—
909	#123	—	2	1	no	—
910	#123	—	2	1	no	—
911	#123	—	2	1	no	—
912	#123	—	2	1	no	—
913	#123	—	2	1	no	—
914	C₂²⋊Q₈	—	2	1	no	—
915	C₂²⋊Q₈	—	2	1	no	—
916	C₂²⋊Q₈	—	2	1	no	—
917	C₂²⋊Q₈	—	2	1	no	—
918	C₂²⋊Q₈	—	2	1	no	—
919	C₂²⋊Q₈	—	2	1	no	—
920	C₂²⋊Q₈	—	2	1	no	—
921	C₂²⋊Q₈	—	2	1	no	—
922	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
923	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
924	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
925	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
926	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
927	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
928	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
929	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
930	#121	—	2	1	no	—
931	#121	—	2	1	no	—
932	#121	—	2	1	no	—
933	#121	—	2	1	no	—
934	#121	—	2	1	no	—
935	#121	—	2	1	no	—
936	#121	—	2	1	no	—
937	#121	—	2	1	no	—
938	#121	—	2	1	no	—
939	#121	—	2	1	no	—
940	#121	—	2	1	no	—
941	#121	—	2	1	no	—
942	#121	—	2	1	no	—
943	#121	—	2	1	no	—
944	#121	—	2	1	no	—
945	#121	—	2	1	no	—
946	#121	—	2	1	no	—
947	#121	—	2	1	no	—
948	#121	—	2	1	no	—
949	#121	—	2	1	no	—
950	#121	C₂²×C₄	1	1	yes	characteristic
951	#121	C₂²×C₄	1	1	yes	characteristic
952	#121	C₂²×C₄	1	1	yes	characteristic
953	#121	C₂²×C₄	1	1	yes	characteristic
954	#121	C₂²×C₄	1	1	yes	characteristic
955	#121	C₂²×C₄	1	1	yes	characteristic
956	#121	C₂²×C₄	1	1	yes	characteristic
957	#121	C₂²×C₄	1	1	yes	characteristic
958	#120	—	2	1	no	—
959	#120	—	2	1	no	—
960	#120	—	2	1	no	—
961	#120	—	2	1	no	—
962	#120	—	2	1	no	—
963	#120	—	2	1	no	—
964	#120	—	2	1	no	—
965	#120	—	2	1	no	—
966	#120	—	2	1	no	—
967	#120	—	2	1	no	—
968	#120	—	2	1	no	—
969	#120	—	2	1	no	—
970	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
971	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
972	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
973	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
974	C₄×D₄	—	2	1	no	—
975	C₄×D₄	—	2	1	no	—
976	C₄×D₄	—	2	1	no	—
977	C₄×D₄	—	2	1	no	—
978	C₄×D₄	—	2	1	no	—
979	C₄×D₄	—	2	1	no	—
980	C₄×D₄	—	2	1	no	—
981	C₄×D₄	—	2	1	no	—
982	C₄×D₄	—	2	1	no	—
983	C₄×D₄	—	2	1	no	—
984	C₄×D₄	—	2	1	no	—
985	C₄×D₄	—	2	1	no	—
986	C₄×D₄	—	2	1	no	—
987	C₄×D₄	—	2	1	no	—
988	C₄×D₄	—	2	1	no	—
989	C₄×D₄	—	2	1	no	—
990	C₄×D₄	—	2	1	no	—
991	C₄×D₄	—	2	1	no	—
992	C₄×D₄	—	2	1	no	—
993	C₄×D₄	—	2	1	no	—
994	C₄×D₄	—	2	1	no	—
995	C₄×D₄	—	2	1	no	—
996	C₄×D₄	—	2	1	no	—
997	C₄×D₄	—	2	1	no	—
998	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
999	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
1000	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
1001	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
1002	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
1003	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
1004	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
1005	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
1006	C₄×D₄	C₂×D₄	1	1	yes	characteristic
1007	C₄×D₄	C₂×D₄	1	1	yes	characteristic
1008	C₄×D₄	C₂×D₄	1	1	yes	characteristic
1009	C₄×D₄	C₂×D₄	1	1	yes	characteristic
1010	#117	—	2	1	no	—
1011	#117	—	2	1	no	—
1012	#117	—	4	1	no	—
1013	#117	—	4	1	no	—
1014	#117	C₂⁴	1	1	yes	characteristic
1015	#117	C₂⁴	1	1	yes	characteristic
1016	C₂×C₄⋊C₄	—	2	1	no	—
1017	C₂×C₄⋊C₄	—	2	1	no	—
1018	C₂×C₄⋊C₄	—	2	1	no	—
1019	C₂×C₄⋊C₄	—	2	1	no	—
1020	C₂×C₄⋊C₄	#41	1	1	yes	characteristic
1021	C₂×C₂²⋊C₄	—	2	1	no	—
1022	C₂×C₂²⋊C₄	—	2	1	no	—
1023	C₂×C₂²⋊C₄	—	2	1	no	—
1024	C₂×C₂²⋊C₄	—	2	1	no	—
1025	C₂×C₂²⋊C₄	—	2	1	no	—
1026	C₂×C₂²⋊C₄	—	2	1	no	—
1027	C₂×C₂²⋊C₄	—	2	1	no	—
1028	C₂×C₂²⋊C₄	#41	1	1	yes	characteristic
1029	C₂×C₂²⋊C₄	#41	1	1	yes	characteristic
1030	C₂×C₄²	—	2	1	no	—
1031	C₂×C₄²	—	2	1	no	—
1032	C₂×C₄²	—	2	1	no	—
1033	C₂×C₄²	—	4	1	no	—
1034	C₂×C₄²	—	4	1	no	—
1035	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1036	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1037	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1038	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1039	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1040	#108	—	2	2	no	—
1041	#108	—	4	1	no	—
1042	#108	—	4	1	no	—
1043	#108	—	4	1	no	—
1044	#108	—	4	1	no	—
1045	#108	—	4	1	no	—
1046	#107	C₂²×C₄	1	1	yes	characteristic
1047	#107	C₂²×C₄	1	1	yes	characteristic
1048	#106	C₂²×C₄	1	1	yes	characteristic
1049	#106	C₂²×C₄	1	1	yes	characteristic
1050	C₄⋊C₈	—	2	1	no	—
1051	C₄⋊C₈	—	2	1	no	—
1052	C₄⋊C₈	—	2	1	no	—
1053	C₄⋊C₈	—	2	1	no	—
1054	C₄⋊C₈	—	2	1	no	—
1055	C₄⋊C₈	—	2	1	no	—
1056	C₄⋊C₈	—	2	1	no	—
1057	C₄⋊C₈	—	2	1	no	—
1058	C₄⋊C₈	—	2	1	no	—
1059	C₄⋊C₈	—	2	1	no	—
1060	C₄⋊C₈	—	2	1	no	—
1061	C₄⋊C₈	—	2	1	no	—
1062	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
1063	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
1064	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
1065	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
1066	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
1067	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
1068	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
1069	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
1070	#104	—	2	2	no	—
1071	#104	—	2	2	no	—
1072	#104	—	2	2	no	—
1073	#104	—	2	2	no	—
1074	#104	—	2	2	no	—
1075	#104	—	2	2	no	—
1076	#104	—	2	2	no	—
1077	#104	—	4	1	no	—
1078	#104	—	4	1	no	—
1079	#104	—	4	1	no	—
1080	#104	—	4	1	no	—
1081	#104	—	4	1	no	—
1082	#104	—	4	1	no	—
1083	#104	—	4	1	no	—
1084	#104	—	4	1	no	—
1085	#104	—	4	1	no	—
1086	#104	—	4	1	no	—
1087	#104	—	4	1	no	—
1088	#104	—	4	1	no	—
1089	#104	—	4	1	no	—
1090	#104	—	4	1	no	—
1091	#104	—	4	1	no	—
1092	#104	—	4	1	no	—
1093	#104	—	4	1	no	—
1094	#103	C₂²×C₄	1	1	yes	characteristic
1095	#103	C₂²×C₄	1	1	yes	characteristic
1096	#103	C₂²×C₄	1	1	yes	characteristic
1097	#103	C₂²×C₄	1	1	yes	characteristic
1098	#103	C₂²×C₄	1	1	yes	characteristic
1099	#103	C₂²×C₄	1	1	yes	characteristic
1100	#103	C₂²×C₄	1	1	yes	characteristic
1101	#103	C₂²×C₄	1	1	yes	characteristic
1102	#103	C₂²×C₄	1	1	yes	characteristic
1103	#103	C₂²×C₄	1	1	yes	characteristic
1104	#103	C₂²×C₄	1	1	yes	characteristic
1105	#103	C₂²×C₄	1	1	yes	characteristic
1106	#102	C₂²×C₄	1	1	yes	characteristic
1107	#102	C₂²×C₄	1	1	yes	characteristic
1108	#102	C₂²×C₄	1	1	yes	characteristic
1109	#102	C₂²×C₄	1	1	yes	characteristic
1110	#102	C₂²×C₄	1	1	yes	characteristic
1111	#102	C₂²×C₄	1	1	yes	characteristic
1112	#102	C₂²×C₄	1	1	yes	characteristic
1113	#102	C₂²×C₄	1	1	yes	characteristic
1114	#102	C₂²×C₄	1	1	yes	characteristic
1115	#102	C₂²×C₄	1	1	yes	characteristic
1116	#102	C₂²×C₄	1	1	yes	characteristic
1117	#102	C₂²×C₄	1	1	yes	characteristic
1118	C₂²⋊C₈	—	2	1	no	—
1119	C₂²⋊C₈	—	2	1	no	—
1120	C₂²⋊C₈	—	2	1	no	—
1121	C₂²⋊C₈	—	2	1	no	—
1122	C₂²⋊C₈	—	2	1	no	—
1123	C₂²⋊C₈	—	2	1	no	—
1124	C₂²⋊C₈	—	2	1	no	—
1125	C₂²⋊C₈	—	2	1	no	—
1126	C₂²⋊C₈	—	2	1	no	—
1127	C₂²⋊C₈	—	2	1	no	—
1128	C₂²⋊C₈	—	2	1	no	—
1129	C₂²⋊C₈	—	2	1	no	—
1130	C₂²⋊C₈	—	2	1	no	—
1131	C₂²⋊C₈	—	2	1	no	—
1132	C₂²⋊C₈	—	2	1	no	—
1133	C₂²⋊C₈	—	2	1	no	—
1134	C₂²⋊C₈	—	2	1	no	—
1135	C₂²⋊C₈	—	2	1	no	—
1136	C₂²⋊C₈	—	2	1	no	—
1137	C₂²⋊C₈	—	2	1	no	—
1138	C₂²⋊C₈	—	2	1	no	—
1139	C₂²⋊C₈	—	2	1	no	—
1140	C₂²⋊C₈	—	2	1	no	—
1141	C₂²⋊C₈	—	2	1	no	—
1142	C₂²⋊C₈	—	2	1	no	—
1143	C₂²⋊C₈	—	2	1	no	—
1144	C₂²⋊C₈	—	2	1	no	—
1145	C₂²⋊C₈	—	2	1	no	—
1146	C₂²⋊C₈	—	2	1	no	—
1147	C₂²⋊C₈	—	2	1	no	—
1148	C₂²⋊C₈	—	2	1	no	—
1149	C₂²⋊C₈	—	2	1	no	—
1150	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1151	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1152	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1153	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1154	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1155	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1156	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1157	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1158	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1159	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1160	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1161	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1162	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1163	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1164	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1165	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1166	#97	—	2	1	no	—
1167	#97	—	2	1	no	—
1168	#97	—	2	1	no	—
1169	#97	—	2	1	no	—
1170	#97	—	2	1	no	—
1171	#97	—	2	1	no	—
1172	#97	—	4	1	no	—
1173	#97	—	4	1	no	—
1174	#97	—	4	1	no	—
1175	#97	—	4	1	no	—
1176	#97	C₂×D₄	1	1	yes	characteristic
1177	#97	C₂×D₄	1	1	yes	characteristic
1178	#97	C₂×D₄	1	1	yes	characteristic
1179	#97	C₂×D₄	1	1	yes	characteristic
1180	C₄×C₈	—	2	1	no	—
1181	C₄×C₈	—	2	1	no	—
1182	C₄×C₈	—	2	1	no	—
1183	C₄×C₈	—	2	1	no	—
1184	C₄×C₈	—	2	1	no	—
1185	C₄×C₈	—	2	1	no	—
1186	C₄×C₈	—	4	1	no	—
1187	C₄×C₈	—	4	1	no	—
1188	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1189	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1190	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1191	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1192	#95	—	2	1	no	—
1193	#95	—	2	1	no	—
1194	#95	—	2	1	no	—
1195	#95	—	2	1	no	—
1196	#95	—	2	1	no	—
1197	C₂⁴	—	2	1	no	—
1198	C₂⁴	—	2	1	no	—
1199	C₂⁴	—	2	1	no	—
1200	C₂⁴	—	2	1	no	—
1201	C₂⁴	C₂×#41	1	1	yes	characteristic
1202	C₂⁴	C₂×#41	1	1	yes	characteristic
1203	#41	—	2	1	no	—
1204	#41	—	2	1	no	—
1205	#41	—	2	2	no	—
1206	#41	—	2	2	no	—
1207	#41	—	2	2	no	—
1208	#41	—	2	2	no	—
1209	#41	—	2	1	no	—
1210	#41	—	2	1	no	—
1211	#41	—	2	1	no	—
1212	#41	—	2	1	no	—
1213	#41	—	2	1	no	—
1214	#41	—	2	1	no	—
1215	#41	—	2	1	no	—
1216	#41	—	2	1	no	—
1217	#41	—	2	1	no	—
1218	#41	—	2	1	no	—
1219	#41	—	2	1	no	—
1220	#41	—	2	1	no	—
1221	#41	—	2	1	no	—
1222	#41	—	2	1	no	—
1223	#41	—	2	1	no	—
1224	#41	—	2	1	no	—
1225	#41	—	2	1	no	—
1226	#41	—	2	1	no	—
1227	#41	—	2	1	no	—
1228	#41	—	2	1	no	—
1229	#41	—	4	2	no	—
1230	#41	—	4	2	no	—
1231	#41	—	4	2	no	—
1232	#41	—	4	2	no	—
1233	#41	—	4	1	no	—
1234	#41	—	4	1	no	—
1235	#41	—	4	1	no	—
1236	#41	—	4	1	no	—
1237	#41	—	4	2	no	—
1238	#41	—	4	2	no	—
1239	#41	—	4	2	no	—
1240	#41	—	4	2	no	—
1241	#41	—	4	1	no	—
1242	#41	—	4	1	no	—
1243	#41	—	4	1	no	—
1244	#41	—	4	1	no	—
1245	#41	—	4	1	no	—
1246	#41	—	4	1	no	—
1247	#41	—	4	1	no	—
1248	#41	—	4	1	no	—
1249	#41	—	8	1	no	—
1250	#41	—	8	1	no	—
1251	#41	—	8	1	no	—
1252	#41	—	8	1	no	—
1253	#41	—	8	1	no	—
1254	#41	—	8	1	no	—
1255	#41	—	8	1	no	—
1256	#41	—	8	1	no	—
1257	#41	H(5,𝔽₂)	1	2	yes	—
1258	#41	H(5,𝔽₂)	1	2	yes	—
1259	C₂×Q₈	—	2	1	no	—
1260	C₂×Q₈	—	2	1	no	—
1261	C₂×Q₈	—	2	1	no	—
1262	C₂×Q₈	—	2	1	no	—
1263	C₂×Q₈	—	2	2	no	—
1264	C₂×Q₈	—	2	2	no	—
1265	C₂×Q₈	—	4	1	no	—
1266	C₂×Q₈	—	4	1	no	—
1267	C₂×Q₈	—	4	1	no	—
1268	C₂×Q₈	—	4	1	no	—
1269	C₂×Q₈	—	4	1	no	—
1270	C₂×Q₈	—	4	1	no	—
1271	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1272	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1273	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1274	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1275	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1276	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1277	C₂×D₄	—	2	1	no	—
1278	C₂×D₄	—	2	2	no	—
1279	C₂×D₄	—	2	2	no	—
1280	C₂×D₄	—	2	1	no	—
1281	C₂×D₄	—	2	1	no	—
1282	C₂×D₄	—	2	1	no	—
1283	C₂×D₄	—	2	1	no	—
1284	C₂×D₄	—	2	1	no	—
1285	C₂×D₄	—	2	1	no	—
1286	C₂×D₄	—	2	1	no	—
1287	C₂×D₄	—	2	1	no	—
1288	C₂×D₄	—	2	1	no	—
1289	C₂×D₄	—	2	1	no	—
1290	C₂×D₄	—	2	1	no	—
1291	C₂×D₄	—	2	1	no	—
1292	C₂×D₄	—	2	1	no	—
1293	C₂×D₄	—	2	1	no	—
1294	C₂×D₄	—	2	1	no	—
1295	C₂×D₄	—	2	1	no	—
1296	C₂×D₄	—	2	1	no	—
1297	C₂×D₄	—	2	1	no	—
1298	C₂×D₄	—	2	1	no	—
1299	C₂×D₄	—	2	1	no	—
1300	C₂×D₄	—	2	1	no	—
1301	C₂×D₄	—	2	1	no	—
1302	C₂×D₄	—	2	1	no	—
1303	C₂×D₄	—	2	1	no	—
1304	C₂×D₄	—	2	1	no	—
1305	C₂×D₄	—	2	1	no	—
1306	C₂×D₄	—	2	1	no	—
1307	C₂×D₄	—	2	1	no	—
1308	C₂×D₄	—	2	1	no	—
1309	C₂×D₄	—	4	1	no	—
1310	C₂×D₄	—	4	1	no	—
1311	C₂×D₄	—	4	1	no	—
1312	C₂×D₄	—	4	1	no	—
1313	C₂×D₄	—	4	1	no	—
1314	C₂×D₄	—	4	1	no	—
1315	C₂×D₄	—	4	2	no	—
1316	C₂×D₄	—	4	2	no	—
1317	C₂×D₄	—	4	2	no	—
1318	C₂×D₄	—	4	2	no	—
1319	C₂×D₄	—	4	2	no	—
1320	C₂×D₄	—	8	2	no	—
1321	C₂×D₄	—	8	2	no	—
1322	C₂×D₄	—	8	1	no	—
1323	C₂×D₄	—	8	1	no	—
1324	C₂×D₄	—	8	1	no	—
1325	C₂×D₄	—	8	1	no	—
1326	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1327	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1328	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1329	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1330	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1331	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1332	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1333	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1334	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1335	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1336	C₂²×C₄	—	2	1	no	—
1337	C₂²×C₄	—	2	1	no	—
1338	C₂²×C₄	—	2	1	no	—
1339	C₂²×C₄	—	2	1	no	—
1340	C₂²×C₄	—	2	1	no	—
1341	C₂²×C₄	—	2	1	no	—
1342	C₂²×C₄	—	2	1	no	—
1343	C₂²×C₄	—	2	1	no	—
1344	C₂²×C₄	—	2	1	no	—
1345	C₂²×C₄	—	2	1	no	—
1346	C₂²×C₄	—	2	1	no	—
1347	C₂²×C₄	—	2	1	no	—
1348	C₂²×C₄	—	2	1	no	—
1349	C₂²×C₄	—	2	1	no	—
1350	C₂²×C₄	—	2	1	no	—
1351	C₂²×C₄	—	2	1	no	—
1352	C₂²×C₄	—	2	1	no	—
1353	C₂²×C₄	—	2	1	no	—
1354	C₂²×C₄	—	2	1	no	—
1355	C₂²×C₄	—	2	1	no	—
1356	C₂²×C₄	—	2	1	no	—
1357	C₂²×C₄	—	2	1	no	—
1358	C₂²×C₄	—	2	1	no	—
1359	C₂²×C₄	—	2	1	no	—
1360	C₂²×C₄	—	2	1	no	—
1361	C₂²×C₄	—	2	1	no	—
1362	C₂²×C₄	—	2	1	no	—
1363	C₂²×C₄	—	2	1	no	—
1364	C₂²×C₄	—	2	1	no	—
1365	C₂²×C₄	—	2	1	no	—
1366	C₂²×C₄	—	2	1	no	—
1367	C₂²×C₄	—	2	1	no	—
1368	C₂²×C₄	—	2	1	no	—
1369	C₂²×C₄	—	2	1	no	—
1370	C₂²×C₄	—	4	2	no	—
1371	C₂²×C₄	—	4	2	no	—
1372	C₂²×C₄	—	4	2	no	—
1373	C₂²×C₄	—	4	2	no	—
1374	C₂²×C₄	—	4	2	no	—
1375	C₂²×C₄	—	8	1	no	—
1376	C₂²×C₄	—	8	1	no	—
1377	C₂²×C₄	—	8	1	no	—
1378	C₂²×C₄	—	8	1	no	—
1379	C₂²×C₄	—	8	1	no	—
1380	C₂²×C₄	—	8	1	no	—
1381	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1382	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1383	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1384	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1385	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1386	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1387	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1388	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1389	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1390	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1391	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1392	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1393	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1394	Q₁₆	—	2	2	no	—
1395	Q₁₆	—	2	2	no	—
1396	Q₁₆	—	2	2	no	—
1397	Q₁₆	—	4	1	no	—
1398	Q₁₆	—	4	1	no	—
1399	Q₁₆	—	4	1	no	—
1400	Q₁₆	—	4	1	no	—
1401	Q₁₆	—	4	1	no	—
1402	Q₁₆	—	4	1	no	—
1403	SD₁₆	—	2	2	no	—
1404	SD₁₆	—	2	2	no	—
1405	SD₁₆	—	2	2	no	—
1406	SD₁₆	—	2	2	no	—
1407	SD₁₆	—	2	2	no	—
1408	SD₁₆	—	2	2	no	—
1409	SD₁₆	—	4	1	no	—
1410	SD₁₆	—	4	1	no	—
1411	SD₁₆	—	4	1	no	—
1412	SD₁₆	—	4	1	no	—
1413	SD₁₆	—	4	1	no	—
1414	SD₁₆	—	4	1	no	—
1415	SD₁₆	—	4	1	no	—
1416	SD₁₆	—	4	1	no	—
1417	SD₁₆	—	4	1	no	—
1418	SD₁₆	—	4	1	no	—
1419	SD₁₆	—	4	1	no	—
1420	SD₁₆	—	4	1	no	—
1421	D₈	—	2	2	no	—
1422	D₈	—	2	2	no	—
1423	D₈	—	2	2	no	—
1424	D₈	—	4	1	no	—
1425	D₈	—	4	1	no	—
1426	D₈	—	4	1	no	—
1427	D₈	—	4	1	no	—
1428	D₈	—	4	1	no	—
1429	D₈	—	4	1	no	—
1430	M₁₆	—	2	4	no	—
1431	M₁₆	—	2	1	no	—
1432	M₁₆	—	2	1	no	—
1433	M₁₆	—	2	1	no	—
1434	M₁₆	—	2	1	no	—
1435	M₁₆	—	2	1	no	—
1436	M₁₆	—	2	1	no	—
1437	M₁₆	—	2	1	no	—
1438	M₁₆	—	2	1	no	—
1439	M₁₆	—	2	1	no	—
1440	M₁₆	—	2	1	no	—
1441	M₁₆	—	2	1	no	—
1442	M₁₆	—	2	1	no	—
1443	M₁₆	—	2	1	no	—
1444	M₁₆	—	2	1	no	—
1445	M₁₆	—	2	1	no	—
1446	M₁₆	—	4	1	no	—
1447	M₁₆	—	4	1	no	—
1448	M₁₆	—	4	1	no	—
1449	M₁₆	—	4	1	no	—
1450	M₁₆	—	4	2	no	—
1451	M₁₆	—	4	2	no	—
1452	M₁₆	—	4	2	no	—
1453	M₁₆	—	4	2	no	—
1454	M₁₆	—	4	2	no	—
1455	M₁₆	—	4	2	no	—
1456	M₁₆	—	4	2	no	—
1457	M₁₆	—	4	2	no	—
1458	M₁₆	—	4	2	no	—
1459	M₁₆	—	8	1	no	—
1460	M₁₆	—	8	1	no	—
1461	M₁₆	—	8	1	no	—
1462	M₁₆	—	8	1	no	—
1463	M₁₆	—	8	1	no	—
1464	M₁₆	—	8	1	no	—
1465	M₁₆	H(5,𝔽₂)	1	2	yes	—
1466	C₂×C₈	—	2	4	no	—
1467	C₂×C₈	—	2	1	no	—
1468	C₂×C₈	—	2	1	no	—
1469	C₂×C₈	—	2	1	no	—
1470	C₂×C₈	—	2	1	no	—
1471	C₂×C₈	—	2	1	no	—
1472	C₂×C₈	—	2	1	no	—
1473	C₂×C₈	—	2	1	no	—
1474	C₂×C₈	—	2	1	no	—
1475	C₂×C₈	—	2	1	no	—
1476	C₂×C₈	—	2	1	no	—
1477	C₂×C₈	—	2	1	no	—
1478	C₂×C₈	—	2	1	no	—
1479	C₂×C₈	—	2	1	no	—
1480	C₂×C₈	—	2	1	no	—
1481	C₂×C₈	—	2	1	no	—
1482	C₂×C₈	—	2	1	no	—
1483	C₂×C₈	—	2	1	no	—
1484	C₂×C₈	—	2	1	no	—
1485	C₂×C₈	—	2	1	no	—
1486	C₂×C₈	—	2	1	no	—
1487	C₂×C₈	—	2	1	no	—
1488	C₂×C₈	—	2	1	no	—
1489	C₂×C₈	—	2	1	no	—
1490	C₂×C₈	—	2	1	no	—
1491	C₂×C₈	—	4	1	no	—
1492	C₂×C₈	—	4	1	no	—
1493	C₂×C₈	—	4	1	no	—
1494	C₂×C₈	—	4	1	no	—
1495	C₂×C₈	—	4	1	no	—
1496	C₂×C₈	—	4	1	no	—
1497	C₂×C₈	—	4	1	no	—
1498	C₂×C₈	—	4	1	no	—
1499	C₂×C₈	—	4	1	no	—
1500	C₂×C₈	—	4	1	no	—
1501	C₂×C₈	—	4	1	no	—
1502	C₂×C₈	—	4	1	no	—
1503	C₂×C₈	—	4	2	no	—
1504	C₂×C₈	—	4	2	no	—
1505	C₂×C₈	—	4	2	no	—
1506	C₂×C₈	—	4	2	no	—
1507	C₂×C₈	—	4	2	no	—
1508	C₂×C₈	—	4	2	no	—
1509	C₂×C₈	—	4	2	no	—
1510	C₂×C₈	—	4	2	no	—
1511	C₂×C₈	—	4	2	no	—
1512	C₂×C₈	—	8	1	no	—
1513	C₂×C₈	—	8	1	no	—
1514	C₂×C₈	—	8	1	no	—
1515	C₂×C₈	—	8	1	no	—
1516	C₂×C₈	—	8	1	no	—
1517	C₂×C₈	—	8	1	no	—
1518	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1519	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1520	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1521	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1522	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1523	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1524	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1525	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1526	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1527	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1528	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1529	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1530	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1531	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1532	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1533	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1534	C₄⋊C₄	—	2	1	no	—
1535	C₄⋊C₄	—	2	1	no	—
1536	C₄⋊C₄	—	2	1	no	—
1537	C₄⋊C₄	—	2	1	no	—
1538	C₄⋊C₄	—	2	1	no	—
1539	C₄⋊C₄	—	2	1	no	—
1540	C₄⋊C₄	—	2	1	no	—
1541	C₄⋊C₄	—	2	1	no	—
1542	C₄⋊C₄	—	2	1	no	—
1543	C₄⋊C₄	—	2	1	no	—
1544	C₄⋊C₄	—	2	1	no	—
1545	C₄⋊C₄	—	2	1	no	—
1546	C₄⋊C₄	—	2	1	no	—
1547	C₄⋊C₄	—	2	1	no	—
1548	C₄⋊C₄	—	2	1	no	—
1549	C₄⋊C₄	—	2	1	no	—
1550	C₄⋊C₄	—	8	1	no	—
1551	C₄⋊C₄	—	8	1	no	—
1552	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1553	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1554	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1555	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1556	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1557	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1558	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1559	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1560	C₂²⋊C₄	—	2	1	no	—
1561	C₂²⋊C₄	—	2	1	no	—
1562	C₂²⋊C₄	—	2	1	no	—
1563	C₂²⋊C₄	—	2	1	no	—
1564	C₂²⋊C₄	—	2	1	no	—
1565	C₂²⋊C₄	—	2	1	no	—
1566	C₂²⋊C₄	—	2	1	no	—
1567	C₂²⋊C₄	—	2	1	no	—
1568	C₂²⋊C₄	—	2	1	no	—
1569	C₂²⋊C₄	—	2	1	no	—
1570	C₂²⋊C₄	—	2	1	no	—
1571	C₂²⋊C₄	—	2	1	no	—
1572	C₂²⋊C₄	—	2	1	no	—
1573	C₂²⋊C₄	—	2	1	no	—
1574	C₂²⋊C₄	—	2	1	no	—
1575	C₂²⋊C₄	—	2	1	no	—
1576	C₂²⋊C₄	—	2	1	no	—
1577	C₂²⋊C₄	—	2	1	no	—
1578	C₂²⋊C₄	—	2	1	no	—
1579	C₂²⋊C₄	—	2	1	no	—
1580	C₂²⋊C₄	—	2	1	no	—
1581	C₂²⋊C₄	—	2	1	no	—
1582	C₂²⋊C₄	—	2	1	no	—
1583	C₂²⋊C₄	—	2	1	no	—
1584	C₂²⋊C₄	—	2	1	no	—
1585	C₂²⋊C₄	—	2	1	no	—
1586	C₂²⋊C₄	—	2	1	no	—
1587	C₂²⋊C₄	—	2	1	no	—
1588	C₂²⋊C₄	—	2	1	no	—
1589	C₂²⋊C₄	—	2	1	no	—
1590	C₂²⋊C₄	—	4	2	no	—
1591	C₂²⋊C₄	—	8	1	no	—
1592	C₂²⋊C₄	—	8	1	no	—
1593	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1594	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1595	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1596	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1597	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1598	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1599	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1600	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1601	C₄²	—	2	1	no	—
1602	C₄²	—	2	1	no	—
1603	C₄²	—	2	1	no	—
1604	C₄²	—	2	1	no	—
1605	C₄²	—	2	1	no	—
1606	C₄²	—	2	1	no	—
1607	C₄²	—	2	1	no	—
1608	C₄²	—	2	1	no	—
1609	C₄²	—	2	1	no	—
1610	C₄²	—	2	1	no	—
1611	C₄²	—	2	1	no	—
1612	C₄²	—	2	1	no	—
1613	C₄²	—	2	1	no	—
1614	C₄²	—	2	1	no	—
1615	C₄²	—	8	1	no	—
1616	C₄²	C₂³×C₄	1	1	yes	characteristic
1617	C₄²	C₂³×C₄	1	1	yes	characteristic
1618	C₄²	C₂²×D₄	1	1	yes	characteristic
1619	C₄²	C₂²×D₄	1	1	yes	characteristic
1620	C₂³	—	2	1	no	—
1621	C₂³	—	2	2	no	—
1622	C₂³	—	2	1	no	—
1623	C₂³	—	2	1	no	—
1624	C₂³	—	2	1	no	—
1625	C₂³	—	2	1	no	—
1626	C₂³	—	2	1	no	—
1627	C₂³	—	2	1	no	—
1628	C₂³	—	2	1	no	—
1629	C₂³	—	2	1	no	—
1630	C₂³	—	2	1	no	—
1631	C₂³	—	4	1	no	—
1632	C₂³	—	4	1	no	—
1633	C₂³	—	4	1	no	—
1634	C₂³	—	4	2	no	—
1635	C₂³	—	4	2	no	—
1636	C₂³	—	4	2	no	—
1637	C₂³	—	4	2	no	—
1638	C₂³	—	8	1	no	—
1639	C₂³	—	8	1	no	—
1640	C₂³	—	8	1	no	—
1641	C₂³	—	8	1	no	—
1642	C₂³	—	8	1	no	—
1643	C₂³	—	8	1	no	—
1644	C₂³	—	8	1	no	—
1645	C₂³	—	8	1	no	—
1646	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1647	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1648	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1649	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1650	C₂³	C₂²×#41	1	1	yes	characteristic
1651	Q₈	—	2	1	no	—
1652	Q₈	—	2	1	no	—
1653	Q₈	—	2	1	no	—
1654	Q₈	—	2	1	no	—
1655	Q₈	—	2	1	no	—
1656	Q₈	—	2	1	no	—
1657	Q₈	—	2	1	no	—
1658	Q₈	—	2	1	no	—
1659	Q₈	—	2	1	no	—
1660	Q₈	—	2	1	no	—
1661	Q₈	—	2	1	no	—
1662	Q₈	—	4	2	no	—
1663	Q₈	—	4	2	no	—
1664	Q₈	—	8	1	no	—
1665	Q₈	—	8	1	no	—
1666	Q₈	#518	1	2	yes	—
1667	D₄	—	2	2	no	—
1668	D₄	—	2	2	no	—
1669	D₄	—	2	2	no	—
1670	D₄	—	2	2	no	—
1671	D₄	—	2	1	no	—
1672	D₄	—	2	1	no	—
1673	D₄	—	2	1	no	—
1674	D₄	—	2	1	no	—
1675	D₄	—	2	1	no	—
1676	D₄	—	2	1	no	—
1677	D₄	—	2	1	no	—
1678	D₄	—	2	1	no	—
1679	D₄	—	2	1	no	—
1680	D₄	—	2	1	no	—
1681	D₄	—	2	1	no	—
1682	D₄	—	4	1	no	—
1683	D₄	—	4	1	no	—
1684	D₄	—	4	2	no	—
1685	D₄	—	4	2	no	—
1686	D₄	—	4	2	no	—
1687	D₄	—	4	2	no	—
1688	D₄	—	4	2	no	—
1689	D₄	—	4	2	no	—
1690	D₄	—	4	2	no	—
1691	D₄	—	4	2	no	—
1692	D₄	—	4	1	no	—
1693	D₄	—	4	1	no	—
1694	D₄	—	4	1	no	—
1695	D₄	—	4	1	no	—
1696	D₄	—	4	1	no	—
1697	D₄	—	4	1	no	—
1698	D₄	—	4	1	no	—
1699	D₄	—	4	1	no	—
1700	D₄	—	4	1	no	—
1701	D₄	—	4	1	no	—
1702	D₄	—	8	1	no	—
1703	D₄	—	8	1	no	—
1704	D₄	—	8	1	no	—
1705	D₄	—	8	1	no	—
1706	D₄	—	8	1	no	—
1707	D₄	—	8	1	no	—
1708	D₄	—	8	1	no	—
1709	D₄	—	8	1	no	—
1710	D₄	—	8	1	no	—
1711	D₄	—	8	1	no	—
1712	D₄	—	8	1	no	—
1713	D₄	—	8	1	no	—
1714	D₄	—	8	1	no	—
1715	D₄	—	8	1	no	—
1716	D₄	—	8	1	no	—
1717	D₄	—	8	1	no	—
1718	D₄	#518	1	2	yes	—
1719	C₂×C₄	—	2	1	no	—
1720	C₂×C₄	—	2	1	no	—
1721	C₂×C₄	—	2	1	no	—
1722	C₂×C₄	—	2	1	no	—
1723	C₂×C₄	—	2	1	no	—
1724	C₂×C₄	—	2	1	no	—
1725	C₂×C₄	—	2	1	no	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	2	2	no	—
1733	C₂×C₄	—	2	1	no	—
1734	C₂×C₄	—	2	1	no	—
1735	C₂×C₄	—	2	1	no	—
1736	C₂×C₄	—	2	1	no	—
1737	C₂×C₄	—	2	2	no	—
1738	C₂×C₄	—	2	1	no	—
1739	C₂×C₄	—	2	1	no	—
1740	C₂×C₄	—	2	1	no	—
1741	C₂×C₄	—	2	1	no	—
1742	C₂×C₄	—	2	1	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	2	1	no	—
1745	C₂×C₄	—	2	1	no	—
1746	C₂×C₄	—	2	1	no	—
1747	C₂×C₄	—	2	1	no	—
1748	C₂×C₄	—	2	1	no	—
1749	C₂×C₄	—	2	1	no	—
1750	C₂×C₄	—	2	1	no	—
1751	C₂×C₄	—	4	1	no	—
1752	C₂×C₄	—	4	1	no	—
1753	C₂×C₄	—	4	2	no	—
1754	C₂×C₄	—	4	2	no	—
1755	C₂×C₄	—	4	2	no	—
1756	C₂×C₄	—	4	2	no	—
1757	C₂×C₄	—	4	2	no	—
1758	C₂×C₄	—	4	2	no	—
1759	C₂×C₄	—	4	1	no	—
1760	C₂×C₄	—	4	1	no	—
1761	C₂×C₄	—	4	1	no	—
1762	C₂×C₄	—	4	1	no	—
1763	C₂×C₄	—	4	1	no	—
1764	C₂×C₄	—	4	1	no	—
1765	C₂×C₄	—	4	1	no	—
1766	C₂×C₄	—	4	1	no	—
1767	C₂×C₄	—	4	1	no	—
1768	C₂×C₄	—	4	1	no	—
1769	C₂×C₄	—	4	1	no	—
1770	C₂×C₄	—	4	1	no	—
1771	C₂×C₄	—	4	1	no	—
1772	C₂×C₄	—	4	1	no	—
1773	C₂×C₄	—	4	1	no	—
1774	C₂×C₄	—	4	1	no	—
1775	C₂×C₄	—	4	1	no	—
1776	C₂×C₄	—	4	1	no	—
1777	C₂×C₄	—	4	1	no	—
1778	C₂×C₄	—	4	1	no	—
1779	C₂×C₄	—	4	1	no	—
1780	C₂×C₄	—	4	1	no	—
1781	C₂×C₄	—	8	1	no	—
1782	C₂×C₄	—	8	1	no	—
1783	C₂×C₄	—	8	1	no	—
1784	C₂×C₄	—	8	1	no	—
1785	C₂×C₄	—	8	1	no	—
1786	C₂×C₄	—	8	1	no	—
1787	C₂×C₄	—	8	1	no	—
1788	C₂×C₄	—	8	1	no	—
1789	C₂×C₄	—	8	1	no	—
1790	C₂×C₄	—	8	1	no	—
1791	C₂×C₄	—	8	4	no	—
1792	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1793	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1794	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1795	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1796	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1797	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1798	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1799	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1800	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
1801	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1802	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1803	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1804	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1805	C₂×C₄	#585	1	1	yes	characteristic
1806	C₈	—	2	1	no	—
1807	C₈	—	2	1	no	—
1808	C₈	—	2	1	no	—
1809	C₈	—	2	1	no	—
1810	C₈	—	2	1	no	—
1811	C₈	—	2	1	no	—
1812	C₈	—	2	1	no	—
1813	C₈	—	2	1	no	—
1814	C₈	—	2	1	no	—
1815	C₈	—	2	2	no	—
1816	C₈	—	2	1	no	—
1817	C₈	—	2	1	no	—
1818	C₈	—	2	1	no	—
1819	C₈	—	2	1	no	—
1820	C₈	—	2	1	no	—
1821	C₈	—	2	1	no	—
1822	C₈	—	2	1	no	—
1823	C₈	—	4	1	no	—
1824	C₈	—	4	1	no	—
1825	C₈	—	4	1	no	—
1826	C₈	—	4	1	no	—
1827	C₈	—	4	1	no	—
1828	C₈	—	4	1	no	—
1829	C₈	—	4	1	no	—
1830	C₂²	—	2	1	no	—
1831	C₂²	—	2	1	no	—
1832	C₂²	—	2	1	no	—
1833	C₂²	—	2	1	no	—
1834	C₂²	—	2	1	no	—
1835	C₂²	—	2	1	no	—
1836	C₂²	—	2	1	no	—
1837	C₂²	—	2	1	no	—
1838	C₂²	—	2	1	no	—
1839	C₂²	—	2	1	no	—
1840	C₂²	—	2	1	no	—
1841	C₂²	—	2	1	no	—
1842	C₂²	—	2	1	no	—
1843	C₂²	—	2	2	no	—
1844	C₂²	—	4	2	no	—
1845	C₂²	—	4	2	no	—
1846	C₂²	—	4	1	no	—
1847	C₂²	—	4	1	no	—
1848	C₂²	—	4	1	no	—
1849	C₂²	—	4	1	no	—
1850	C₂²	—	4	1	no	—
1851	C₂²	—	4	1	no	—
1852	C₂²	—	4	1	no	—
1853	C₂²	—	4	1	no	—
1854	C₂²	—	4	1	no	—
1855	C₂²	—	4	1	no	—
1856	C₂²	—	4	1	no	—
1857	C₂²	—	4	1	no	—
1858	C₂²	—	4	1	no	—
1859	C₂²	—	4	1	no	—
1860	C₂²	—	4	1	no	—
1861	C₂²	—	4	1	no	—
1862	C₂²	—	4	1	no	—
1863	C₂²	—	8	1	no	—
1864	C₂²	—	8	1	no	—
1865	C₂²	—	8	4	no	—
1866	C₂²	—	16	2	no	—
1867	C₂²	—	16	2	no	—
1868	C₂²	—	16	2	no	—
1869	C₂²	#2957	1	2	yes	—
1870	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1871	C₂²	#3513	1	1	yes	characteristic
1872	C₂²	#3519	1	1	yes	characteristic
1873	C₄	—	2	1	no	—
1874	C₄	—	2	1	no	—
1875	C₄	—	2	1	no	—
1876	C₄	—	2	1	no	—
1877	C₄	—	2	1	no	—
1878	C₄	—	2	1	no	—
1879	C₄	—	2	1	no	—
1880	C₄	—	2	1	no	—
1881	C₄	—	2	2	no	—
1882	C₄	—	4	1	no	—
1883	C₄	—	4	1	no	—
1884	C₄	—	4	1	no	—
1885	C₄	—	4	1	no	—
1886	C₄	—	4	1	no	—
1887	C₄	—	4	1	no	—
1888	C₄	—	4	1	no	—
1889	C₄	—	4	1	no	—
1890	C₄	—	4	1	no	—
1891	C₄	—	8	1	no	—
1892	C₄	—	8	1	no	—
1893	C₄	—	8	1	no	—
1894	C₄	—	8	1	no	—
1895	C₄	C₂×#518	1	1	yes	characteristic
1896	C₄	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1897	C₄	#3484	1	1	yes	characteristic
1898	C₄	#3488	1	1	yes	characteristic
1899	C₂	—	2	1	no	—
1900	C₂	—	2	1	no	—
1901	C₂	—	2	2	no	—
1902	C₂	—	4	1	no	—
1903	C₂	—	4	1	no	—
1904	C₂	—	4	1	no	—
1905	C₂	—	4	2	no	—
1906	C₂	—	8	1	no	—
1907	C₂	—	8	1	no	—
1908	C₂	—	8	1	no	—
1909	C₂	—	8	1	no	—
1910	C₂	—	8	1	no	—
1911	C₂	#34290	1	1	yes	characteristic
1912	C₂	C₂×#2957	1	1	yes	characteristic
1913	C₂	#60184	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂³×D₄
commutator	C₂×C₄	C₂⁴×C₄
Frattini, cosocle	C₂²×C₄	C₂⁵
socle	C₂²	C₂²×C₄×D₄
prime radical	D₄×#135	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄ ◁ C₂×#435 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #60240	C₂	semidirect
3. #60146	C₂	semidirect
4. #23180	C₂	semidirect
5. #23147	C₂	semidirect
6. #23146	C₂	semidirect
7. #23115	C₂	semidirect
8. #23017	C₂	semidirect
9. #22889	C₂	semidirect
10. #22887	C₂	semidirect
11. #22886	C₂	semidirect
12. #22886	C₂	semidirect
13. #22782	C₂	semidirect
14. #22717	C₂	semidirect
15. #22454	C₂	semidirect
16. #22452	C₂	semidirect
17. #22434	C₂	semidirect
18. #22434	C₂	semidirect
19. #22282	C₂	semidirect
20. #22206	C₂	semidirect
21. #22204	C₂	semidirect
22. #22167	C₂	semidirect
23. #22062	C₂	semidirect
24. #22061	C₂	semidirect
25. #21519	C₂	semidirect
26. #21468	C₂	semidirect
27. #21467	C₂	semidirect
28. #21140	C₂	semidirect
29. #20919	C₂	semidirect
30. C₂×#1876	C₂	semidirect
31. #20560	C₂	semidirect
34. C₂×#568	C₂²	semidirect
35. C₂²×#131	C₂²	semidirect
38. #3287	C₄	semidirect
39. D₄×Q₁₆	C₄	semidirect
40. #3285	C₄	semidirect
41. #3285	C₄	semidirect
42. #3284	C₄	semidirect
43. #3284	C₄	semidirect
44. #3283	C₄	semidirect
45. #3282	C₄	semidirect
46. #3282	C₄	semidirect
47. #3282	C₄	semidirect
48. #3282	C₄	semidirect
49. D₄×SD₁₆	C₄	semidirect
50. D₄×SD₁₆	C₄	semidirect
51. #3280	C₄	semidirect
52. #3280	C₄	semidirect
53. D₄×D₈	C₄	semidirect
71. C₂×#444	C₂²	semidirect
72. C₂×#444	C₂²	semidirect
73. C₂×#444	C₂²	semidirect
74. C₂×#444	C₂²	semidirect
75. C₂×#443	C₂²	semidirect
76. C₂×#443	C₂²	semidirect
79. #2935	C₂²	semidirect
80. #2935	C₂²	semidirect
86. #2933	C₂²	semidirect
87. #2933	C₂²	semidirect
88. #2933	C₂²	semidirect
89. #2933	C₂²	semidirect
91. #2932	C₂²	semidirect
92. #2932	C₂²	semidirect
94. #2930	C₂²	semidirect
95. #2930	C₂²	semidirect
97. #2929	C₂²	semidirect
98. #2929	C₂²	semidirect
102. #2925	C₂²	semidirect
103. #2923	C₂²	semidirect
104. #2906	C₂²	semidirect
105. C₂×#421	C₂²	semidirect
106. C₂×#421	C₂²	semidirect
107. C₂²×#104	C₂²	semidirect
108. C₂²×#104	C₂²	semidirect
109. #2880	C₂²	semidirect
110. #2880	C₂²	semidirect
111. #2880	C₂²	semidirect
112. #2880	C₂²	semidirect
113. #2879	C₂²	semidirect
114. C₂×#408	C₂²	semidirect
115. #2875	C₂²	semidirect
117. #1980	C₂²	semidirect
118. #1980	C₂²	semidirect
119. #1975	C₂²	semidirect
120. #1975	C₂²	semidirect
121. #1975	C₂²	semidirect
122. #1975	C₂²	semidirect
123. #1974	C₂²	semidirect
124. #1974	C₂²	semidirect
125. #1963	C₂²	semidirect
126. #1963	C₂²	semidirect
127. #1950	C₂²	semidirect
128. #1950	C₂²	semidirect
129. #1938	C₂²	semidirect
130. #1938	C₂²	semidirect
131. #1938	C₂²	semidirect
132. #1938	C₂²	semidirect
133. #1937	C₂²	semidirect
134. #1937	C₂²	semidirect
135. #1929	C₂²	semidirect
136. #1929	C₂²	semidirect
137. #1929	C₂²	semidirect
138. #1929	C₂²	semidirect
139. #1929	C₂²	semidirect
140. #1929	C₂²	semidirect
141. #1922	C₂²	semidirect
142. #1922	C₂²	semidirect
143. #1922	C₂²	semidirect
144. #1922	C₂²	semidirect
145. #1897	C₂²	semidirect
146. #1897	C₂²	semidirect
147. #1896	C₂²	semidirect
148. #1896	C₂²	semidirect
153. #1876	C₂²	semidirect
154. #1876	C₂²	semidirect
155. #1876	C₂²	semidirect
156. #1876	C₂²	semidirect
157. #1876	C₂²	semidirect
158. #1876	C₂²	semidirect
159. #1876	C₂²	semidirect
160. #1876	C₂²	semidirect
161. #1876	C₂²	semidirect
162. #1876	C₂²	semidirect
163. #1876	C₂²	semidirect
164. #1876	C₂²	semidirect
165. #1876	C₂²	semidirect
166. #1876	C₂²	semidirect
167. #1876	C₂²	semidirect
168. #1876	C₂²	semidirect
169. #1876	C₂²	semidirect
170. #1876	C₂²	semidirect
171. #1876	C₂²	semidirect
172. #1876	C₂²	semidirect
173. #1871	C₂²	semidirect
174. #1871	C₂²	semidirect
175. #1871	C₂²	semidirect
176. #1871	C₂²	semidirect
177. #1866	C₂²	semidirect
178. #1866	C₂²	semidirect
179. #1866	C₂²	semidirect
180. #1866	C₂²	semidirect
181. #1866	C₂²	semidirect
182. #1866	C₂²	semidirect
183. #1855	C₂²	semidirect
184. #1855	C₂²	semidirect
185. #1855	C₂²	semidirect
186. #1855	C₂²	semidirect
187. #1837	C₂²	semidirect
188. #1810	C₂²	semidirect
189. #1810	C₂²	semidirect
190. #1806	C₂²	semidirect
191. #1806	C₂²	semidirect
192. #1789	C₂²	semidirect
193. #1789	C₂²	semidirect
194. #1789	C₂²	semidirect
195. #1789	C₂²	semidirect
196. C₄×#108	C₂²	semidirect
197. #1771	C₂²	semidirect
198. #1770	C₂²	semidirect
199. #1768	C₂²	semidirect
200. #1765	C₂²	semidirect
201. #1765	C₂²	semidirect
202. #1765	C₂²	semidirect
203. #1765	C₂²	semidirect
204. #1764	C₂²	semidirect
205. #1764	C₂²	semidirect
206. #1759	C₂²	semidirect
207. #1759	C₂²	semidirect
208. #1753	C₂²	semidirect
209. #1752	C₂²	semidirect
210. #1752	C₂²	semidirect
211. C₈×C₂²⋊C₄	C₂²	semidirect
212. #1750	C₂²	semidirect
213. #1749	C₂²	semidirect
214. #1746	C₂²	semidirect
215. C₂×#341	C₂²	semidirect
216. C₂×#341	C₂²	semidirect
217. #1729	C₂²	semidirect
218. C₂×#336	C₂²	semidirect
231. C₂×#135	C₂×C₄	semidirect
232. C₂×#135	C₂×C₄	semidirect
233. C₂×#135	C₂×C₄	semidirect
234. C₂×#135	C₂×C₄	semidirect
245. C₂²×Q₁₆	C₂×C₄	semidirect
248. C₂²×SD₁₆	C₂×C₄	semidirect
249. C₂²×SD₁₆	C₂×C₄	semidirect
251. C₂²×D₈	C₂×C₄	semidirect
327. #495	C₂×C₄	semidirect
328. #495	C₂×C₄	semidirect
329. #495	C₂×C₄	semidirect
330. #495	C₂×C₄	semidirect
331. #494	C₂×C₄	semidirect
332. #493	C₂×C₄	semidirect
333. #492	C₂×C₄	semidirect
334. #492	C₂×C₄	semidirect
337. #467	C₂×C₄	semidirect
338. #467	C₂×C₄	semidirect
341. #466	C₂×C₄	semidirect
342. #466	C₂×C₄	semidirect
347. #465	C₂×C₄	semidirect
348. #465	C₂×C₄	semidirect
349. #465	C₂×C₄	semidirect
350. #465	C₂×C₄	semidirect
351. #464	C₂×C₄	semidirect
352. #464	C₂×C₄	semidirect
353. #464	C₂×C₄	semidirect
354. #464	C₂×C₄	semidirect
355. #463	C₂×C₄	semidirect
356. #463	C₂×C₄	semidirect
357. #463	C₂×C₄	semidirect
358. #463	C₂×C₄	semidirect
359. #462	C₂×C₄	semidirect
360. #462	C₂×C₄	semidirect
361. #461	C₂×C₄	semidirect
362. #461	C₂×C₄	semidirect
363. #460	C₂×C₄	semidirect
364. #460	C₂×C₄	semidirect
365. #459	C₂×C₄	semidirect
366. #459	C₂×C₄	semidirect
371. #452	C₂×C₄	semidirect
372. #452	C₂×C₄	semidirect
373. #452	C₂×C₄	semidirect
374. #452	C₂×C₄	semidirect
377. #451	C₂×C₄	semidirect
378. #451	C₂×C₄	semidirect
381. #450	C₂×C₄	semidirect
382. #450	C₂×C₄	semidirect
387. #449	C₂×C₄	semidirect
388. #449	C₂×C₄	semidirect
389. #449	C₂×C₄	semidirect
390. #449	C₂×C₄	semidirect
393. #448	C₂×C₄	semidirect
394. #448	C₂×C₄	semidirect
397. #447	C₂×C₄	semidirect
398. #447	C₂×C₄	semidirect
405. C₄×Q₁₆	C₂×C₄	semidirect
406. C₄×Q₁₆	C₂×C₄	semidirect
407. C₄×SD₁₆	C₂×C₄	semidirect
408. C₄×SD₁₆	C₂×C₄	semidirect
409. C₄×SD₁₆	C₂×C₄	semidirect
410. C₄×SD₁₆	C₂×C₄	semidirect
411. C₄×D₈	C₂×C₄	semidirect
412. C₄×D₈	C₂×C₄	semidirect

Maximal subgroups

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

subgroup	index
D₄×#135	2
#60240	2
#60146	2
#23180	2
#23147	2
#23146	2
#23115	2
#23017	2
#22889	2
#22887	2
#22886	2
#22782	2
#22717	2
#22454	2
#22452	2
#22434	2
#22282	2
#22206	2
#22204	2
#22167	2
#22062	2
#22061	2
#21519	2
#21468	2
#21467	2
#21140	2
#20919	2
C₂×#1876	2
#20560	2