Subgroups — #6389069

Order 512.

1912 conjugacy classes of subgroups.

The subgroup lattice has 1803 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#60422	C₂	1	1	yes	maximal, characteristic
2	#60238	C₂	1	1	yes	maximal, characteristic, complemented
3	#60129	C₂	1	1	yes	maximal, characteristic, complemented
4	#23115	C₂	1	1	yes	maximal, characteristic, complemented
5	#23115	C₂	1	1	yes	maximal, characteristic, complemented
6	#23114	C₂	1	1	yes	maximal, characteristic, complemented
7	#23113	C₂	1	1	yes	maximal, characteristic, complemented
8	#23017	C₂	1	1	yes	maximal, characteristic, complemented
9	#23017	C₂	1	1	yes	maximal, characteristic, complemented
10	#23016	C₂	1	1	yes	maximal, characteristic, complemented
11	#23015	C₂	1	1	yes	maximal, characteristic, complemented
12	#22588	C₂	1	1	yes	maximal, characteristic, complemented
13	#22588	C₂	1	1	yes	maximal, characteristic, complemented
14	#22587	C₂	1	1	yes	maximal, characteristic, complemented
15	#22586	C₂	1	1	yes	maximal, characteristic, complemented
16	#22454	C₂	1	1	yes	maximal, characteristic, complemented
17	#22453	C₂	1	1	yes	maximal, characteristic, complemented
18	#22453	C₂	1	1	yes	maximal, characteristic, complemented
19	#22452	C₂	1	1	yes	maximal, characteristic, complemented
20	#22167	C₂	1	1	yes	maximal, characteristic, complemented
21	#22167	C₂	1	1	yes	maximal, characteristic, complemented
22	#22166	C₂	1	1	yes	maximal, characteristic, complemented
23	#22165	C₂	1	1	yes	maximal, characteristic, complemented
24	#21971	C₂	1	1	yes	maximal, characteristic, complemented
25	#21817	C₂	1	1	yes	maximal, characteristic, complemented
26	#21519	C₂	1	1	yes	maximal, characteristic, complemented
27	#21519	C₂	1	1	yes	maximal, characteristic, complemented
28	#21518	C₂	1	1	yes	maximal, characteristic, complemented
29	#21517	C₂	1	1	yes	maximal, characteristic, complemented
30	#20749	C₂	1	1	yes	maximal, characteristic, complemented
31	#20553	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#575	C₂²	1	1	yes	characteristic
33	C₂²×#135	C₂²	1	1	yes	characteristic
34	#3449	C₂²	1	1	yes	characteristic
35	#3428	C₂²	1	1	yes	characteristic
36	#3046	C₄	1	1	yes	characteristic, complemented
37	#3046	C₄	1	1	yes	characteristic, complemented
38	#3046	C₄	1	1	yes	characteristic, complemented
39	#3046	C₄	1	1	yes	characteristic, complemented
40	#3045	C₄	1	1	yes	characteristic, complemented
41	#3045	C₄	1	1	yes	characteristic, complemented
42	#3045	C₄	1	1	yes	characteristic, complemented
43	#3045	C₄	1	1	yes	characteristic, complemented
44	#3044	C₄	1	1	yes	characteristic, complemented
45	#3044	C₄	1	1	yes	characteristic, complemented
46	#3043	C₄	1	1	yes	characteristic, complemented
47	#3043	C₄	1	1	yes	characteristic, complemented
48	#3042	C₄	1	1	yes	characteristic, complemented
49	#3042	C₄	1	1	yes	characteristic, complemented
50	#3041	C₄	1	1	yes	characteristic, complemented
51	#3041	C₄	1	1	yes	characteristic, complemented
52	#3035	C₂²	1	1	yes	characteristic
53	#3035	C₂²	1	1	yes	characteristic
54	#3035	C₂²	1	1	yes	characteristic
55	#3035	C₂²	1	1	yes	characteristic
56	#3035	C₂²	1	1	yes	characteristic
57	#3035	C₂²	1	1	yes	characteristic
58	#3035	C₂²	1	1	yes	characteristic
59	#3035	C₂²	1	1	yes	characteristic
60	#2978	—	2	1	no	—
61	#2978	—	2	1	no	—
62	#2977	—	2	1	no	—
63	#2977	—	2	1	no	—
64	#2976	—	2	1	no	—
65	#2976	—	2	1	no	—
66	#2976	—	2	1	no	—
67	#2976	—	2	1	no	—
68	C₂×#444	C₂²	1	1	yes	characteristic, complemented
69	C₂×#444	C₂²	1	1	yes	characteristic, complemented
70	C₂×#444	C₂²	1	1	yes	characteristic, complemented
71	C₂×#444	C₂²	1	1	yes	characteristic, complemented
72	C₂×#443	C₂²	1	1	yes	characteristic, complemented
73	C₂×#443	C₂²	1	1	yes	characteristic, complemented
74	C₂×#443	C₂²	1	1	yes	characteristic, complemented
75	C₂×#443	C₂²	1	1	yes	characteristic, complemented
76	#2935	C₂²	1	1	yes	characteristic, complemented
77	#2935	C₂²	1	1	yes	characteristic, complemented
78	#2935	C₂²	1	1	yes	characteristic, complemented
79	#2935	C₂²	1	1	yes	characteristic, complemented
80	#2932	C₂²	1	1	yes	characteristic, complemented
81	#2932	C₂²	1	1	yes	characteristic, complemented
82	#2931	C₂²	1	1	yes	characteristic, complemented
83	#2931	C₂²	1	1	yes	characteristic, complemented
84	#2925	—	2	1	no	—
85	#2925	—	2	1	no	—
86	#2925	C₂²	1	1	yes	characteristic, complemented
87	#2925	C₂²	1	1	yes	characteristic, complemented
88	#2924	—	2	1	no	—
89	#2924	—	2	1	no	—
90	#2924	C₂²	1	1	yes	characteristic
91	#2924	C₂²	1	1	yes	characteristic
92	#2923	—	2	1	no	—
93	#2923	C₂²	1	1	yes	characteristic, complemented
94	#2922	—	2	1	no	—
95	#2922	C₂²	1	1	yes	characteristic, complemented
96	#2921	—	2	1	no	—
97	#2921	C₂²	1	1	yes	characteristic
98	#2921	C₂²	1	1	yes	characteristic
99	C₂×#433	—	2	1	no	—
100	C₂×#433	C₂²	1	1	yes	characteristic
101	#2906	C₂²	1	1	yes	characteristic, complemented
102	#2906	C₂²	1	1	yes	characteristic, complemented
103	C₂×#424	C₂²	1	1	yes	characteristic
104	#2896	C₂²	1	1	yes	characteristic
105	C₂×#416	C₂²	1	1	yes	characteristic
106	#2880	C₂²	1	1	yes	characteristic
107	#2880	C₂²	1	1	yes	characteristic
108	#2880	C₂²	1	1	yes	characteristic
109	#2880	C₂²	1	1	yes	characteristic
110	#2880	C₂²	1	1	yes	characteristic
111	#2880	C₂²	1	1	yes	characteristic
112	#2875	C₂²	1	1	yes	characteristic, complemented
113	C₄×#131	C₂²	1	1	yes	characteristic, complemented
114	#2298	C₂²	1	1	yes	characteristic
115	#1980	C₂²	1	1	yes	characteristic, complemented
116	#1980	C₂²	1	1	yes	characteristic, complemented
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	#1974	C₂²	1	1	yes	characteristic, complemented
126	#1974	C₂²	1	1	yes	characteristic, complemented
127	#1963	C₂²	1	1	yes	characteristic, complemented
128	#1963	C₂²	1	1	yes	characteristic, complemented
129	#1962	C₂²	1	1	yes	characteristic, complemented
130	#1962	C₂²	1	1	yes	characteristic, complemented
131	#1950	C₂²	1	1	yes	characteristic, complemented
132	#1950	C₂²	1	1	yes	characteristic, complemented
133	#1950	C₂²	1	1	yes	characteristic, complemented
134	#1950	C₂²	1	1	yes	characteristic, complemented
135	#1950	C₂²	1	1	yes	characteristic, complemented
136	#1950	C₂²	1	1	yes	characteristic, complemented
137	#1950	C₂²	1	1	yes	characteristic, complemented
138	#1950	C₂²	1	1	yes	characteristic, complemented
139	#1938	C₂²	1	1	yes	characteristic, complemented
140	#1938	C₂²	1	1	yes	characteristic, complemented
141	#1938	C₂²	1	1	yes	characteristic, complemented
142	#1938	C₂²	1	1	yes	characteristic, complemented
143	#1937	C₂²	1	1	yes	characteristic, complemented
144	#1937	C₂²	1	1	yes	characteristic, complemented
145	#1937	C₂²	1	1	yes	characteristic, complemented
146	#1937	C₂²	1	1	yes	characteristic, complemented
147	#1929	C₂²	1	1	yes	characteristic, complemented
148	#1929	C₂²	1	1	yes	characteristic, complemented
149	#1929	C₂²	1	1	yes	characteristic, complemented
150	#1929	C₂²	1	1	yes	characteristic, complemented
151	#1929	C₂²	1	1	yes	characteristic, complemented
152	#1929	C₂²	1	1	yes	characteristic, complemented
153	#1929	C₂²	1	1	yes	characteristic, complemented
154	#1929	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	#1866	C₂²	1	1	yes	characteristic, complemented
172	#1866	C₂²	1	1	yes	characteristic, complemented
173	#1866	C₂²	1	1	yes	characteristic, complemented
174	#1866	C₂²	1	1	yes	characteristic, complemented
175	#1866	C₂²	1	1	yes	characteristic, complemented
176	#1866	C₂²	1	1	yes	characteristic, complemented
177	#1866	C₂²	1	1	yes	characteristic, complemented
178	#1866	C₂²	1	1	yes	characteristic, complemented
179	#1826	C₂²	1	1	yes	characteristic
180	#1826	C₂²	1	1	yes	characteristic
181	#1811	C₂²	1	1	yes	characteristic
182	#1811	C₂²	1	1	yes	characteristic
183	#1810	C₂²	1	1	yes	characteristic
184	#1810	C₂²	1	1	yes	characteristic
185	#1806	C₂²	1	1	yes	characteristic, complemented
186	#1806	C₂²	1	1	yes	characteristic, complemented
187	#1806	C₂²	1	1	yes	characteristic, complemented
188	#1806	C₂²	1	1	yes	characteristic, complemented
189	#1789	C₂²	1	1	yes	characteristic
190	#1789	C₂²	1	1	yes	characteristic
191	#1789	C₂²	1	1	yes	characteristic
192	#1789	C₂²	1	1	yes	characteristic
193	#1789	C₂²	1	1	yes	characteristic
194	#1789	C₂²	1	1	yes	characteristic
195	#1771	C₂²	1	1	yes	characteristic, complemented
196	#1771	C₂²	1	1	yes	characteristic, complemented
197	#1770	C₂²	1	1	yes	characteristic, complemented
198	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
199	#1768	C₂²	1	1	yes	characteristic, complemented
200	#1768	C₂²	1	1	yes	characteristic, complemented
201	#1767	C₂²	1	1	yes	characteristic, complemented
202	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
203	#1765	C₂²	1	1	yes	characteristic, complemented
204	#1765	C₂²	1	1	yes	characteristic, complemented
205	#1765	C₂²	1	1	yes	characteristic, complemented
206	#1765	C₂²	1	1	yes	characteristic, complemented
207	#1764	C₂²	1	1	yes	characteristic, complemented
208	#1764	C₂²	1	1	yes	characteristic, complemented
209	#1764	C₂²	1	1	yes	characteristic, complemented
210	#1764	C₂²	1	1	yes	characteristic, complemented
211	#1759	C₂²	1	1	yes	characteristic, complemented
212	#1759	C₂²	1	1	yes	characteristic, complemented
213	C₄×#104	C₂²	1	1	yes	characteristic, complemented
214	C₄×#104	C₂²	1	1	yes	characteristic, complemented
215	#1753	C₂²	1	1	yes	characteristic
216	#1753	C₂²	1	1	yes	characteristic
217	#1752	C₂²	1	1	yes	characteristic
218	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
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	#575	—	4	2	no	—
223	#575	—	4	2	no	—
224	C₂×#137	C₂×C₄	1	1	yes	characteristic
225	C₂×#137	C₂×C₄	1	1	yes	characteristic
226	C₂×#137	C₂×C₄	1	1	yes	characteristic
227	C₂×#137	C₂×C₄	1	1	yes	characteristic
228	C₂×AGL(1,ℤ/8)	C₂×C₄	1	1	yes	characteristic
229	C₂×AGL(1,ℤ/8)	C₂×C₄	1	1	yes	characteristic
230	C₂×AGL(1,ℤ/8)	C₂×C₄	1	1	yes	characteristic
231	C₂×AGL(1,ℤ/8)	C₂×C₄	1	1	yes	characteristic
232	C₂×#135	—	4	2	no	—
233	C₂×#135	—	4	2	no	—
234	C₂×#135	C₂×C₄	1	1	yes	characteristic
235	C₂×#135	C₂×C₄	1	1	yes	characteristic
236	C₂×#135	C₂×C₄	1	1	yes	characteristic
237	C₂×#135	C₂×C₄	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	C₂×#135	C₂³	1	1	yes	characteristic
245	C₂×#135	C₂³	1	1	yes	characteristic
246	C₂²×Q₁₆	C₂×C₄	1	1	yes	characteristic
247	C₂²×SD₁₆	C₂×C₄	1	1	yes	characteristic
248	C₂²×SD₁₆	C₂×C₄	1	1	yes	characteristic
249	C₂²×D₈	C₂×C₄	1	1	yes	characteristic
250	C₂×#131	C₂³	1	1	yes	characteristic
251	C₂×#131	C₂³	1	1	yes	characteristic
252	C₂×#131	C₂³	1	1	yes	characteristic
253	C₂×#131	C₂³	1	1	yes	characteristic
254	C₂×#131	C₂³	1	1	yes	characteristic
255	C₂×#131	C₂³	1	1	yes	characteristic
256	C₂×#131	C₂³	1	1	yes	characteristic
257	C₂×#131	C₂³	1	1	yes	characteristic
258	C₂×#131	C₂³	1	1	yes	characteristic
259	C₂×#131	C₂³	1	1	yes	characteristic
260	C₂×#131	C₂³	1	1	yes	characteristic
261	C₂×#131	C₂³	1	1	yes	characteristic
262	C₂²×M₁₆	C₂³	1	1	yes	characteristic
263	C₂³×C₈	C₂³	1	1	yes	characteristic
264	#537	—	2	1	no	—
265	#537	—	2	1	no	—
266	#536	C₂×C₄	1	1	yes	characteristic
267	#536	C₂×C₄	1	1	yes	characteristic
268	#536	C₂×C₄	1	1	yes	characteristic
269	#536	C₂×C₄	1	1	yes	characteristic
270	#535	C₂×C₄	1	1	yes	characteristic
271	#535	C₂×C₄	1	1	yes	characteristic
272	#535	C₂×C₄	1	1	yes	characteristic
273	#535	C₂×C₄	1	1	yes	characteristic
274	#534	—	2	1	no	—
275	#534	—	2	1	no	—
276	#532	C₂³	1	1	yes	characteristic
277	#532	C₂³	1	1	yes	characteristic
278	#532	C₂³	1	1	yes	characteristic
279	#532	C₂³	1	1	yes	characteristic
280	#525	—	2	1	no	—
281	#525	—	2	1	no	—
282	#525	—	2	1	no	—
283	#525	—	2	1	no	—
284	#520	—	2	1	no	—
285	#520	—	2	1	no	—
286	#520	C₂×C₄	1	1	yes	characteristic
287	#520	C₂×C₄	1	1	yes	characteristic
288	#520	C₂×C₄	1	1	yes	characteristic
289	#520	C₂×C₄	1	1	yes	characteristic
290	#519	C₂×C₄	1	1	yes	characteristic
291	#519	C₂×C₄	1	1	yes	characteristic
292	#518	—	2	1	no	—
293	#518	—	2	1	no	—
294	#518	C₂×C₄	1	1	yes	characteristic
295	#518	C₂×C₄	1	1	yes	characteristic
296	C₄×#41	—	2	1	no	—
297	C₄×#41	—	2	1	no	—
298	C₄×#41	C₂³	1	1	yes	characteristic
299	C₄×#41	C₂³	1	1	yes	characteristic
300	C₄×#41	C₂³	1	1	yes	characteristic
301	C₄×#41	C₂³	1	1	yes	characteristic
302	C₂×#117	—	2	1	no	—
303	C₂×#117	—	2	1	no	—
304	C₂×#117	C₂³	1	1	yes	characteristic
305	C₂×#117	C₂³	1	1	yes	characteristic
306	#464	C₂×C₄	1	1	yes	characteristic
307	#464	C₂×C₄	1	1	yes	characteristic
308	#464	C₂×C₄	1	1	yes	characteristic
309	#464	C₂×C₄	1	1	yes	characteristic
310	#464	C₂×C₄	1	1	yes	characteristic
311	#464	C₂×C₄	1	1	yes	characteristic
312	#464	C₂×C₄	1	1	yes	characteristic
313	#464	C₂×C₄	1	1	yes	characteristic
314	#464	C₂×C₄	1	1	yes	characteristic
315	#464	C₂×C₄	1	1	yes	characteristic
316	#464	C₂×C₄	1	1	yes	characteristic
317	#464	C₂×C₄	1	1	yes	characteristic
318	#464	C₂×C₄	1	1	yes	characteristic
319	#464	C₂×C₄	1	1	yes	characteristic
320	#464	C₂×C₄	1	1	yes	characteristic
321	#464	C₂×C₄	1	1	yes	characteristic
322	#463	C₂×C₄	1	1	yes	characteristic
323	#463	C₂×C₄	1	1	yes	characteristic
324	#463	C₂×C₄	1	1	yes	characteristic
325	#463	C₂×C₄	1	1	yes	characteristic
326	#463	C₂×C₄	1	1	yes	characteristic
327	#463	C₂×C₄	1	1	yes	characteristic
328	#463	C₂×C₄	1	1	yes	characteristic
329	#463	C₂×C₄	1	1	yes	characteristic
330	#463	C₂×C₄	1	1	yes	characteristic
331	#463	C₂×C₄	1	1	yes	characteristic
332	#463	C₂×C₄	1	1	yes	characteristic
333	#463	C₂×C₄	1	1	yes	characteristic
334	#463	C₂×C₄	1	1	yes	characteristic
335	#463	C₂×C₄	1	1	yes	characteristic
336	#463	C₂×C₄	1	1	yes	characteristic
337	#463	C₂×C₄	1	1	yes	characteristic
338	#462	C₂×C₄	1	1	yes	characteristic
339	#462	C₂×C₄	1	1	yes	characteristic
340	#462	C₂×C₄	1	1	yes	characteristic
341	#462	C₂×C₄	1	1	yes	characteristic
342	#462	C₂×C₄	1	1	yes	characteristic
343	#462	C₂×C₄	1	1	yes	characteristic
344	#462	C₂×C₄	1	1	yes	characteristic
345	#462	C₂×C₄	1	1	yes	characteristic
346	#461	C₂×C₄	1	1	yes	characteristic
347	#461	C₂×C₄	1	1	yes	characteristic
348	#461	C₂×C₄	1	1	yes	characteristic
349	#461	C₂×C₄	1	1	yes	characteristic
350	#461	C₂×C₄	1	1	yes	characteristic
351	#461	C₂×C₄	1	1	yes	characteristic
352	#461	C₂×C₄	1	1	yes	characteristic
353	#461	C₂×C₄	1	1	yes	characteristic
354	#460	C₂×C₄	1	1	yes	characteristic
355	#460	C₂×C₄	1	1	yes	characteristic
356	#460	C₂×C₄	1	1	yes	characteristic
357	#460	C₂×C₄	1	1	yes	characteristic
358	#460	C₂×C₄	1	1	yes	characteristic
359	#460	C₂×C₄	1	1	yes	characteristic
360	#460	C₂×C₄	1	1	yes	characteristic
361	#460	C₂×C₄	1	1	yes	characteristic
362	#459	C₂×C₄	1	1	yes	characteristic
363	#459	C₂×C₄	1	1	yes	characteristic
364	#459	C₂×C₄	1	1	yes	characteristic
365	#459	C₂×C₄	1	1	yes	characteristic
366	#459	C₂×C₄	1	1	yes	characteristic
367	#459	C₂×C₄	1	1	yes	characteristic
368	#459	C₂×C₄	1	1	yes	characteristic
369	#459	C₂×C₄	1	1	yes	characteristic
370	#444	—	4	2	no	—
371	#444	—	4	2	no	—
372	#444	—	4	2	no	—
373	#444	—	4	2	no	—
374	#443	—	4	2	no	—
375	#443	—	4	2	no	—
376	#443	—	4	2	no	—
377	#443	—	4	2	no	—
378	#436	—	2	1	no	—
379	#436	—	2	1	no	—
380	#436	—	2	1	no	—
381	#436	—	2	1	no	—
382	#436	—	2	1	no	—
383	#436	—	2	1	no	—
384	#436	—	2	1	no	—
385	#436	—	2	1	no	—
386	#435	—	2	1	no	—
387	#435	—	2	1	no	—
388	#435	—	2	1	no	—
389	#435	—	2	1	no	—
390	#435	—	2	1	no	—
391	#435	—	2	1	no	—
392	#435	—	2	1	no	—
393	#435	—	2	1	no	—
394	#435	—	2	1	no	—
395	#435	—	2	1	no	—
396	#435	—	2	1	no	—
397	#435	—	2	1	no	—
398	#435	—	2	1	no	—
399	#435	—	2	1	no	—
400	#435	—	2	1	no	—
401	#435	—	2	1	no	—
402	C₈×D₄	—	2	1	no	—
403	C₈×D₄	—	2	1	no	—
404	C₈×D₄	—	2	1	no	—
405	C₈×D₄	—	2	1	no	—
406	C₈×D₄	—	2	1	no	—
407	C₈×D₄	—	2	1	no	—
408	C₈×D₄	—	2	1	no	—
409	C₈×D₄	—	2	1	no	—
410	#433	—	2	1	no	—
411	#433	—	2	1	no	—
412	#433	—	2	1	no	—
413	#433	—	2	1	no	—
414	#433	—	2	1	no	—
415	#433	—	2	1	no	—
416	#433	—	2	1	no	—
417	#433	—	2	1	no	—
418	#433	—	2	1	no	—
419	#433	—	2	1	no	—
420	#433	—	2	1	no	—
421	#433	—	2	1	no	—
422	#433	—	2	1	no	—
423	#433	—	2	1	no	—
424	#433	—	2	1	no	—
425	#433	—	2	1	no	—
426	#433	—	2	1	no	—
427	#433	—	2	1	no	—
428	#433	—	2	1	no	—
429	#433	—	2	1	no	—
430	#433	D₄	1	1	yes	characteristic
431	#433	D₄	1	1	yes	characteristic
432	#433	D₄	1	1	yes	characteristic
433	#433	D₄	1	1	yes	characteristic
434	#433	D₄	1	1	yes	characteristic
435	#433	D₄	1	1	yes	characteristic
436	#433	D₄	1	1	yes	characteristic
437	#433	D₄	1	1	yes	characteristic
438	#432	—	2	1	no	—
439	#432	—	2	1	no	—
440	#432	—	2	1	no	—
441	#432	—	2	1	no	—
442	#432	—	2	1	no	—
443	#432	—	2	1	no	—
444	#431	—	2	1	no	—
445	#431	—	2	1	no	—
446	#431	—	2	1	no	—
447	#431	—	2	1	no	—
448	#431	—	2	1	no	—
449	#431	—	2	1	no	—
450	C₂×#108	C₂³	1	1	yes	characteristic
451	C₂×#108	C₂³	1	1	yes	characteristic
452	C₂×#108	C₂³	1	1	yes	characteristic
453	C₂×#108	C₂³	1	1	yes	characteristic
454	C₂×#108	C₂³	1	1	yes	characteristic
455	C₂×#108	C₂³	1	1	yes	characteristic
456	C₂×#108	C₂³	1	1	yes	characteristic
457	C₂×#108	C₂³	1	1	yes	characteristic
458	#424	—	2	1	no	—
459	#424	—	2	1	no	—
460	#424	—	2	1	no	—
461	#424	—	2	1	no	—
462	#424	C₂×C₄	1	1	yes	characteristic
463	#424	C₂×C₄	1	1	yes	characteristic
464	#424	C₂×C₄	1	1	yes	characteristic
465	#424	C₂×C₄	1	1	yes	characteristic
466	#424	C₂×C₄	1	1	yes	characteristic
467	#424	C₂×C₄	1	1	yes	characteristic
468	#424	C₂×C₄	1	1	yes	characteristic
469	#424	C₂×C₄	1	1	yes	characteristic
470	#424	C₂³	1	1	yes	characteristic
471	#424	C₂³	1	1	yes	characteristic
472	#424	C₂³	1	1	yes	characteristic
473	#424	C₂³	1	1	yes	characteristic
474	#423	—	2	1	no	—
475	#423	—	2	1	no	—
476	#423	C₂³	1	1	yes	characteristic
477	#423	C₂³	1	1	yes	characteristic
478	#423	C₂³	1	1	yes	characteristic
479	#423	C₂³	1	1	yes	characteristic
480	C₂×C₄⋊C₈	—	2	1	no	—
481	C₂×C₄⋊C₈	—	2	1	no	—
482	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
483	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
484	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
485	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
486	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
487	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
488	C₂×#104	C₂³	1	1	yes	characteristic
489	C₂×#104	C₂³	1	1	yes	characteristic
490	C₂×#104	C₂³	1	1	yes	characteristic
491	C₂×#104	C₂³	1	1	yes	characteristic
492	C₂×#104	C₂³	1	1	yes	characteristic
493	C₂×#104	C₂³	1	1	yes	characteristic
494	C₂×#104	C₂³	1	1	yes	characteristic
495	C₂×#104	C₂³	1	1	yes	characteristic
496	C₂×#104	C₂³	1	1	yes	characteristic
497	C₂×#104	C₂³	1	1	yes	characteristic
498	C₂×#104	C₂³	1	1	yes	characteristic
499	C₂×#104	C₂³	1	1	yes	characteristic
500	C₂×#104	C₂³	1	1	yes	characteristic
501	C₂×#104	C₂³	1	1	yes	characteristic
502	C₂×#104	C₂³	1	1	yes	characteristic
503	C₂×#104	C₂³	1	1	yes	characteristic
504	C₂×#104	C₂³	1	1	yes	characteristic
505	C₂×#104	C₂³	1	1	yes	characteristic
506	C₂×#104	C₂³	1	1	yes	characteristic
507	C₂×#104	C₂³	1	1	yes	characteristic
508	C₂×#104	C₂³	1	1	yes	characteristic
509	C₂×#104	C₂³	1	1	yes	characteristic
510	C₂×#104	C₂³	1	1	yes	characteristic
511	C₂×#104	C₂³	1	1	yes	characteristic
512	#419	C₂×C₄	1	1	yes	characteristic
513	#419	C₂×C₄	1	1	yes	characteristic
514	#418	C₂×C₄	1	1	yes	characteristic
515	#418	C₂×C₄	1	1	yes	characteristic
516	#417	C₂×C₄	1	1	yes	characteristic
517	#417	C₂×C₄	1	1	yes	characteristic
518	#417	C₂×C₄	1	1	yes	characteristic
519	#417	C₂×C₄	1	1	yes	characteristic
520	#416	C₂×C₄	1	1	yes	characteristic
521	#416	C₂×C₄	1	1	yes	characteristic
522	#416	C₂×C₄	1	1	yes	characteristic
523	#416	C₂×C₄	1	1	yes	characteristic
524	#416	C₂³	1	1	yes	characteristic
525	#416	C₂³	1	1	yes	characteristic
526	#416	C₂³	1	1	yes	characteristic
527	#416	C₂³	1	1	yes	characteristic
528	#416	C₂³	1	1	yes	characteristic
529	#416	C₂³	1	1	yes	characteristic
530	#416	C₂³	1	1	yes	characteristic
531	#416	C₂³	1	1	yes	characteristic
532	C₂×#103	C₂×C₄	1	1	yes	characteristic
533	C₂×#103	C₂×C₄	1	1	yes	characteristic
534	C₂×#102	C₂×C₄	1	1	yes	characteristic
535	C₂×#102	C₂×C₄	1	1	yes	characteristic
536	#408	—	2	1	no	—
537	#408	—	2	1	no	—
538	#408	—	2	1	no	—
539	#408	—	2	1	no	—
540	#408	—	2	1	no	—
541	#408	—	2	1	no	—
542	#408	—	2	1	no	—
543	#408	—	2	1	no	—
544	#408	—	2	1	no	—
545	#408	—	2	1	no	—
546	#408	—	2	1	no	—
547	#408	—	2	1	no	—
548	#408	C₂³	1	1	yes	characteristic
549	#408	C₂³	1	1	yes	characteristic
550	#408	C₂³	1	1	yes	characteristic
551	#408	C₂³	1	1	yes	characteristic
552	#408	C₂³	1	1	yes	characteristic
553	#408	C₂³	1	1	yes	characteristic
554	#408	C₂³	1	1	yes	characteristic
555	#408	C₂³	1	1	yes	characteristic
556	#408	C₂³	1	1	yes	characteristic
557	#408	C₂³	1	1	yes	characteristic
558	#408	C₂³	1	1	yes	characteristic
559	#408	C₂³	1	1	yes	characteristic
560	#407	—	2	1	no	—
561	#407	—	2	1	no	—
562	#407	—	2	1	no	—
563	#407	—	2	1	no	—
564	#407	—	2	1	no	—
565	#407	—	2	1	no	—
566	#407	C₂³	1	1	yes	characteristic
567	#407	C₂³	1	1	yes	characteristic
568	#407	C₂³	1	1	yes	characteristic
569	#407	C₂³	1	1	yes	characteristic
570	C₂×C₂²⋊C₈	—	2	1	no	—
571	C₂×C₂²⋊C₈	—	2	1	no	—
572	C₂×C₂²⋊C₈	—	2	1	no	—
573	C₂×C₂²⋊C₈	—	2	1	no	—
574	C₂×C₂²⋊C₈	—	2	1	no	—
575	C₂×C₂²⋊C₈	—	2	1	no	—
576	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
577	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
578	#405	—	2	1	no	—
579	#405	—	2	1	no	—
580	#405	—	2	1	no	—
581	#405	—	2	1	no	—
582	#405	C₂³	1	1	yes	characteristic
583	#405	C₂³	1	1	yes	characteristic
584	#405	C₂³	1	1	yes	characteristic
585	#405	C₂³	1	1	yes	characteristic
586	C₄×M₁₆	—	2	1	no	—
587	C₄×M₁₆	—	2	1	no	—
588	C₄×M₁₆	C₂³	1	1	yes	characteristic
589	C₄×M₁₆	C₂³	1	1	yes	characteristic
590	C₄×M₁₆	C₂³	1	1	yes	characteristic
591	C₄×M₁₆	C₂³	1	1	yes	characteristic
592	C₂×#97	—	2	1	no	—
593	C₂×#97	C₂³	1	1	yes	characteristic
594	C₂×#97	C₂³	1	1	yes	characteristic
595	C₂×#97	C₂³	1	1	yes	characteristic
596	C₂×#97	C₂³	1	1	yes	characteristic
597	C₂×#97	C₂³	1	1	yes	characteristic
598	C₂×C₄×C₈	—	2	1	no	—
599	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
600	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
601	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
602	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
603	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
604	#388	—	2	1	no	—
605	#388	—	2	1	no	—
606	#387	—	2	1	no	—
607	#387	—	2	1	no	—
608	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
609	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
610	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
611	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
612	#376	C₂³	1	1	yes	characteristic
613	C₄³	C₂³	1	1	yes	characteristic
614	#341	C₂³	1	1	yes	characteristic
615	#341	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	#339	C₂³	1	1	yes	characteristic
623	#339	C₂³	1	1	yes	characteristic
624	#339	C₂³	1	1	yes	characteristic
625	#339	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	#336	C₂³	1	1	yes	characteristic
631	#336	C₂³	1	1	yes	characteristic
632	#336	C₂³	1	1	yes	characteristic
633	#336	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	C₂×#41	—	2	1	no	—
639	C₂×#41	—	2	1	no	—
640	C₂×#41	—	2	1	no	—
641	C₂×#41	—	2	1	no	—
642	C₂×#41	—	2	1	no	—
643	C₂×#41	—	2	1	no	—
644	C₂×#41	—	2	2	no	—
645	C₂×#41	—	2	2	no	—
646	C₂×#41	—	4	1	no	—
647	C₂×#41	—	4	1	no	—
648	C₂×#41	—	4	1	no	—
649	C₂×#41	—	4	1	no	—
650	C₂×#41	—	4	1	no	—
651	C₂×#41	—	4	1	no	—
652	C₂×#41	—	4	1	no	—
653	C₂×#41	—	4	1	no	—
654	C₂×#41	—	4	1	no	—
655	C₂×#41	—	4	1	no	—
656	C₂×#41	C₂²×C₄	1	1	yes	characteristic
657	C₂×#41	C₂²×C₄	1	1	yes	characteristic
658	C₂×#41	C₂²×C₄	1	1	yes	characteristic
659	C₂×#41	C₂²×C₄	1	1	yes	characteristic
660	C₂×#41	C₂²×C₄	1	1	yes	characteristic
661	C₂×#41	C₂²×C₄	1	1	yes	characteristic
662	C₂×#41	C₂⁴	1	1	yes	characteristic
663	C₂×#41	C₂⁴	1	1	yes	characteristic
664	C₂×#41	C₂⁴	1	1	yes	characteristic
665	C₂×#41	C₂⁴	1	1	yes	characteristic
666	C₂×#41	C₂⁴	1	1	yes	characteristic
667	C₂×#41	C₂⁴	1	1	yes	characteristic
668	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
669	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
670	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
671	C₂²×D₄	—	2	1	no	—
672	C₂²×D₄	—	2	1	no	—
673	C₂²×D₄	—	2	1	no	—
674	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
675	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
676	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
677	C₂³×C₄	—	2	1	no	—
678	C₂³×C₄	—	2	1	no	—
679	C₂³×C₄	—	2	1	no	—
680	C₂³×C₄	C₂⁴	1	1	yes	characteristic
681	#137	—	4	2	no	—
682	#137	—	4	2	no	—
683	#137	—	4	2	no	—
684	#137	—	4	2	no	—
685	AGL(1,ℤ/8)	—	4	2	no	—
686	AGL(1,ℤ/8)	—	4	2	no	—
687	AGL(1,ℤ/8)	—	4	2	no	—
688	AGL(1,ℤ/8)	—	4	2	no	—
689	#135	—	2	2	no	—
690	#135	—	2	2	no	—
691	#135	—	2	2	no	—
692	#135	—	2	2	no	—
693	#135	—	2	2	no	—
694	#135	—	2	2	no	—
695	#135	—	2	2	no	—
696	#135	—	2	2	no	—
697	#135	—	4	1	no	—
698	#135	—	4	1	no	—
699	#135	—	4	1	no	—
700	#135	—	4	1	no	—
701	#135	—	4	1	no	—
702	#135	—	4	1	no	—
703	#135	—	4	1	no	—
704	#135	—	4	1	no	—
705	#135	—	4	2	no	—
706	#135	—	4	2	no	—
707	#135	—	4	2	no	—
708	#135	—	4	2	no	—
709	C₂×Q₁₆	—	4	2	no	—
710	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
711	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
712	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
713	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
714	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
715	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
716	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
717	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
718	C₂×SD₁₆	—	4	2	no	—
719	C₂×SD₁₆	—	4	2	no	—
720	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
721	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
722	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
723	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
724	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
725	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
726	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
727	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
728	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
729	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
730	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
731	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
732	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
733	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
734	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
735	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
736	C₂×D₈	—	4	2	no	—
737	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
738	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
739	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
740	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
741	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
742	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
743	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
744	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
745	#131	—	2	2	no	—
746	#131	—	2	2	no	—
747	#131	—	2	2	no	—
748	#131	—	2	2	no	—
749	#131	—	4	1	no	—
750	#131	—	4	1	no	—
751	#131	—	4	1	no	—
752	#131	—	4	1	no	—
753	#131	—	4	1	no	—
754	#131	—	4	1	no	—
755	#131	—	4	1	no	—
756	#131	—	4	1	no	—
757	#131	—	4	1	no	—
758	#131	—	4	1	no	—
759	#131	—	4	1	no	—
760	#131	—	4	1	no	—
761	#131	—	4	1	no	—
762	#131	—	4	1	no	—
763	#131	—	4	1	no	—
764	#131	—	4	1	no	—
765	#131	—	4	1	no	—
766	#131	—	4	1	no	—
767	#131	—	4	1	no	—
768	#131	—	4	1	no	—
769	C₂×M₁₆	—	2	1	no	—
770	C₂×M₁₆	—	2	1	no	—
771	C₂×M₁₆	—	2	1	no	—
772	C₂×M₁₆	—	2	1	no	—
773	C₂×M₁₆	—	2	1	no	—
774	C₂×M₁₆	—	2	1	no	—
775	C₂×M₁₆	—	2	1	no	—
776	C₂×M₁₆	—	2	1	no	—
777	C₂×M₁₆	—	2	1	no	—
778	C₂×M₁₆	—	2	1	no	—
779	C₂×M₁₆	—	2	1	no	—
780	C₂×M₁₆	—	2	1	no	—
781	C₂×M₁₆	—	4	1	no	—
782	C₂×M₁₆	—	4	1	no	—
783	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
784	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
785	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
786	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
787	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
788	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
789	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
790	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
791	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
792	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
793	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
794	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
795	C₂²×C₈	—	2	1	no	—
796	C₂²×C₈	—	2	1	no	—
797	C₂²×C₈	—	2	1	no	—
798	C₂²×C₈	—	2	1	no	—
799	C₂²×C₈	—	2	1	no	—
800	C₂²×C₈	—	2	1	no	—
801	C₂²×C₈	—	2	1	no	—
802	C₂²×C₈	—	2	1	no	—
803	C₂²×C₈	—	2	1	no	—
804	C₂²×C₈	—	2	1	no	—
805	C₂²×C₈	—	2	1	no	—
806	C₂²×C₈	—	2	1	no	—
807	C₂²×C₈	—	4	1	no	—
808	C₂²×C₈	—	4	1	no	—
809	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
810	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
811	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
812	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
813	C₂²×C₈	C₂⁴	1	1	yes	characteristic
814	C₂²×C₈	C₂⁴	1	1	yes	characteristic
815	C₂²×C₈	C₂⁴	1	1	yes	characteristic
816	C₂²×C₈	C₂⁴	1	1	yes	characteristic
817	C₂²×C₈	C₂⁴	1	1	yes	characteristic
818	C₂²×C₈	C₂⁴	1	1	yes	characteristic
819	C₂²×C₈	C₂⁴	1	1	yes	characteristic
820	C₂²×C₈	C₂⁴	1	1	yes	characteristic
821	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
822	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
823	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
824	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
825	#127	C₂²×C₄	1	1	yes	characteristic
826	#127	C₂²×C₄	1	1	yes	characteristic
827	#127	C₂²×C₄	1	1	yes	characteristic
828	#127	C₂²×C₄	1	1	yes	characteristic
829	#124	C₂²×C₄	1	1	yes	characteristic
830	#124	C₂²×C₄	1	1	yes	characteristic
831	#124	C₂²×C₄	1	1	yes	characteristic
832	#124	C₂²×C₄	1	1	yes	characteristic
833	#124	C₂²×C₄	1	1	yes	characteristic
834	#124	C₂²×C₄	1	1	yes	characteristic
835	#124	C₂²×C₄	1	1	yes	characteristic
836	#124	C₂²×C₄	1	1	yes	characteristic
837	#123	—	2	1	no	—
838	#123	—	2	1	no	—
839	#123	—	2	1	no	—
840	#123	—	2	1	no	—
841	#123	—	2	1	no	—
842	#123	—	2	1	no	—
843	#123	—	2	1	no	—
844	#123	—	2	1	no	—
845	C₂²⋊Q₈	—	2	1	no	—
846	C₂²⋊Q₈	—	2	1	no	—
847	C₂²⋊Q₈	—	2	1	no	—
848	C₂²⋊Q₈	—	2	1	no	—
849	C₂²⋊Q₈	—	2	1	no	—
850	C₂²⋊Q₈	—	2	1	no	—
851	C₂²⋊Q₈	—	2	1	no	—
852	C₂²⋊Q₈	—	2	1	no	—
853	#121	—	2	1	no	—
854	#121	—	2	1	no	—
855	#121	—	2	1	no	—
856	#121	—	2	1	no	—
857	#121	—	2	1	no	—
858	#121	—	2	1	no	—
859	#121	—	2	1	no	—
860	#121	—	2	1	no	—
861	#121	—	2	1	no	—
862	#121	—	2	1	no	—
863	#121	—	2	1	no	—
864	#121	—	2	1	no	—
865	#121	—	2	1	no	—
866	#121	—	2	1	no	—
867	#121	—	2	1	no	—
868	#121	—	2	1	no	—
869	#120	—	2	1	no	—
870	#120	—	2	1	no	—
871	#120	—	2	1	no	—
872	#120	—	2	1	no	—
873	#120	—	2	1	no	—
874	#120	—	2	1	no	—
875	#120	—	2	1	no	—
876	#120	—	2	1	no	—
877	C₄×Q₈	—	2	1	no	—
878	C₄×Q₈	—	2	1	no	—
879	C₄×Q₈	—	2	1	no	—
880	C₄×Q₈	—	2	1	no	—
881	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
882	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
883	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
884	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
885	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
886	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
887	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
888	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
889	C₄×D₄	—	2	1	no	—
890	C₄×D₄	—	2	1	no	—
891	C₄×D₄	—	2	1	no	—
892	C₄×D₄	—	2	1	no	—
893	C₄×D₄	—	2	1	no	—
894	C₄×D₄	—	2	1	no	—
895	C₄×D₄	—	2	1	no	—
896	C₄×D₄	—	2	1	no	—
897	C₄×D₄	—	2	1	no	—
898	C₄×D₄	—	2	1	no	—
899	C₄×D₄	—	2	1	no	—
900	C₄×D₄	—	2	1	no	—
901	C₄×D₄	—	2	1	no	—
902	C₄×D₄	—	2	1	no	—
903	C₄×D₄	—	2	1	no	—
904	C₄×D₄	—	2	1	no	—
905	C₄×D₄	—	2	1	no	—
906	C₄×D₄	—	2	1	no	—
907	C₄×D₄	—	2	1	no	—
908	C₄×D₄	—	2	1	no	—
909	C₄×D₄	—	2	1	no	—
910	C₄×D₄	—	2	1	no	—
911	C₄×D₄	—	2	1	no	—
912	C₄×D₄	—	2	1	no	—
913	C₄×D₄	—	2	1	no	—
914	C₄×D₄	—	2	1	no	—
915	C₄×D₄	—	2	1	no	—
916	C₄×D₄	—	2	1	no	—
917	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
918	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
919	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
920	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
921	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
922	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
923	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
924	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
925	#117	—	2	1	no	—
926	#117	—	2	1	no	—
927	#117	—	2	1	no	—
928	#117	—	2	1	no	—
929	#117	—	2	1	no	—
930	#117	—	2	1	no	—
931	#117	—	2	1	no	—
932	#117	—	2	1	no	—
933	#117	—	2	1	no	—
934	#117	—	2	1	no	—
935	#117	—	2	1	no	—
936	#117	—	2	1	no	—
937	#117	—	2	1	no	—
938	#117	—	2	1	no	—
939	#117	C₂²×C₄	1	1	yes	characteristic
940	#117	C₂²×C₄	1	1	yes	characteristic
941	#117	C₂²×C₄	1	1	yes	characteristic
942	#117	C₂²×C₄	1	1	yes	characteristic
943	#117	C₂²×C₄	1	1	yes	characteristic
944	#117	C₂²×C₄	1	1	yes	characteristic
945	#117	C₂×D₄	1	1	yes	characteristic
946	#117	C₂×D₄	1	1	yes	characteristic
947	#117	C₂×D₄	1	1	yes	characteristic
948	#117	C₂×D₄	1	1	yes	characteristic
949	#117	C₂⁴	1	1	yes	characteristic
950	#117	C₂⁴	1	1	yes	characteristic
951	C₂×C₄⋊C₄	—	2	1	no	—
952	C₂×C₄⋊C₄	—	2	1	no	—
953	C₂×C₄⋊C₄	—	2	1	no	—
954	C₂×C₄⋊C₄	—	2	1	no	—
955	C₂×C₄⋊C₄	—	2	1	no	—
956	C₂×C₄⋊C₄	—	2	1	no	—
957	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
958	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
959	C₂×C₄⋊C₄	#41	1	1	yes	characteristic
960	C₂×C₄⋊C₄	#41	1	1	yes	characteristic
961	C₂×C₂²⋊C₄	—	2	1	no	—
962	C₂×C₂²⋊C₄	—	2	1	no	—
963	C₂×C₂²⋊C₄	—	2	1	no	—
964	C₂×C₂²⋊C₄	—	2	1	no	—
965	C₂×C₂²⋊C₄	—	2	1	no	—
966	C₂×C₂²⋊C₄	—	2	1	no	—
967	C₂×C₂²⋊C₄	—	2	1	no	—
968	C₂×C₂²⋊C₄	#41	1	1	yes	characteristic
969	C₂×C₂²⋊C₄	#41	1	1	yes	characteristic
970	C₂×C₄²	—	2	1	no	—
971	C₂×C₄²	—	2	1	no	—
972	C₂×C₄²	—	2	1	no	—
973	C₂×C₄²	—	2	1	no	—
974	C₂×C₄²	—	2	1	no	—
975	C₂×C₄²	—	2	1	no	—
976	C₂×C₄²	—	2	1	no	—
977	C₂×C₄²	C₂⁴	1	1	yes	characteristic
978	C₂×C₄²	C₂⁴	1	1	yes	characteristic
979	C₂×C₄²	C₂⁴	1	1	yes	characteristic
980	C₂×C₄²	C₂⁴	1	1	yes	characteristic
981	C₂×C₄²	C₂⁴	1	1	yes	characteristic
982	C₂×C₄²	C₂⁴	1	1	yes	characteristic
983	#108	—	4	1	no	—
984	#108	—	4	1	no	—
985	#108	—	4	1	no	—
986	#108	—	4	1	no	—
987	#108	—	4	1	no	—
988	#108	—	4	1	no	—
989	#108	—	4	1	no	—
990	#108	—	4	1	no	—
991	C₄⋊C₈	—	2	1	no	—
992	C₄⋊C₈	—	2	1	no	—
993	C₄⋊C₈	—	2	1	no	—
994	C₄⋊C₈	—	2	1	no	—
995	C₄⋊C₈	—	2	1	no	—
996	C₄⋊C₈	—	2	1	no	—
997	C₄⋊C₈	—	2	1	no	—
998	C₄⋊C₈	—	2	1	no	—
999	C₄⋊C₈	—	2	1	no	—
1000	C₄⋊C₈	—	2	1	no	—
1001	C₄⋊C₈	—	2	1	no	—
1002	C₄⋊C₈	—	2	1	no	—
1003	C₄⋊C₈	—	2	1	no	—
1004	C₄⋊C₈	—	2	1	no	—
1005	C₄⋊C₈	—	2	1	no	—
1006	C₄⋊C₈	—	2	1	no	—
1007	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
1008	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
1009	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
1010	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
1011	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
1012	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
1013	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
1014	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
1015	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
1016	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
1017	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
1018	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
1019	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
1020	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
1021	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
1022	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
1023	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
1024	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
1025	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
1026	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
1027	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
1028	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
1029	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
1030	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
1031	#104	—	2	2	no	—
1032	#104	—	2	2	no	—
1033	#104	—	2	2	no	—
1034	#104	—	2	2	no	—
1035	#104	—	4	1	no	—
1036	#104	—	4	1	no	—
1037	#104	—	4	1	no	—
1038	#104	—	4	1	no	—
1039	#104	—	4	1	no	—
1040	#104	—	4	1	no	—
1041	#104	—	4	1	no	—
1042	#104	—	4	1	no	—
1043	#104	—	4	1	no	—
1044	#104	—	4	1	no	—
1045	#104	—	4	1	no	—
1046	#104	—	4	1	no	—
1047	#104	—	4	1	no	—
1048	#104	—	4	1	no	—
1049	#104	—	4	1	no	—
1050	#104	—	4	1	no	—
1051	#104	—	4	1	no	—
1052	#104	—	4	1	no	—
1053	#104	—	4	1	no	—
1054	#104	—	4	1	no	—
1055	#103	C₂²×C₄	1	1	yes	characteristic
1056	#103	C₂²×C₄	1	1	yes	characteristic
1057	#103	C₂²×C₄	1	1	yes	characteristic
1058	#103	C₂²×C₄	1	1	yes	characteristic
1059	#103	C₂²×C₄	1	1	yes	characteristic
1060	#103	C₂²×C₄	1	1	yes	characteristic
1061	#103	C₂²×C₄	1	1	yes	characteristic
1062	#103	C₂²×C₄	1	1	yes	characteristic
1063	#103	C₂²×C₄	1	1	yes	characteristic
1064	#103	C₂²×C₄	1	1	yes	characteristic
1065	#103	C₂²×C₄	1	1	yes	characteristic
1066	#103	C₂²×C₄	1	1	yes	characteristic
1067	#103	C₂²×C₄	1	1	yes	characteristic
1068	#103	C₂²×C₄	1	1	yes	characteristic
1069	#103	C₂²×C₄	1	1	yes	characteristic
1070	#103	C₂²×C₄	1	1	yes	characteristic
1071	#102	C₂²×C₄	1	1	yes	characteristic
1072	#102	C₂²×C₄	1	1	yes	characteristic
1073	#102	C₂²×C₄	1	1	yes	characteristic
1074	#102	C₂²×C₄	1	1	yes	characteristic
1075	#102	C₂²×C₄	1	1	yes	characteristic
1076	#102	C₂²×C₄	1	1	yes	characteristic
1077	#102	C₂²×C₄	1	1	yes	characteristic
1078	#102	C₂²×C₄	1	1	yes	characteristic
1079	#102	C₂²×C₄	1	1	yes	characteristic
1080	#102	C₂²×C₄	1	1	yes	characteristic
1081	#102	C₂²×C₄	1	1	yes	characteristic
1082	#102	C₂²×C₄	1	1	yes	characteristic
1083	#102	C₂²×C₄	1	1	yes	characteristic
1084	#102	C₂²×C₄	1	1	yes	characteristic
1085	#102	C₂²×C₄	1	1	yes	characteristic
1086	#102	C₂²×C₄	1	1	yes	characteristic
1087	C₂²⋊C₈	—	2	1	no	—
1088	C₂²⋊C₈	—	2	1	no	—
1089	C₂²⋊C₈	—	2	1	no	—
1090	C₂²⋊C₈	—	2	1	no	—
1091	C₂²⋊C₈	—	2	1	no	—
1092	C₂²⋊C₈	—	2	1	no	—
1093	C₂²⋊C₈	—	2	1	no	—
1094	C₂²⋊C₈	—	2	1	no	—
1095	C₂²⋊C₈	—	2	1	no	—
1096	C₂²⋊C₈	—	2	1	no	—
1097	C₂²⋊C₈	—	2	1	no	—
1098	C₂²⋊C₈	—	2	1	no	—
1099	C₂²⋊C₈	—	2	1	no	—
1100	C₂²⋊C₈	—	2	1	no	—
1101	C₂²⋊C₈	—	2	1	no	—
1102	C₂²⋊C₈	—	2	1	no	—
1103	C₂²⋊C₈	—	2	1	no	—
1104	C₂²⋊C₈	—	2	1	no	—
1105	C₂²⋊C₈	—	2	1	no	—
1106	C₂²⋊C₈	—	2	1	no	—
1107	C₂²⋊C₈	—	2	1	no	—
1108	C₂²⋊C₈	—	2	1	no	—
1109	C₂²⋊C₈	—	2	1	no	—
1110	C₂²⋊C₈	—	2	1	no	—
1111	C₂²⋊C₈	—	2	1	no	—
1112	C₂²⋊C₈	—	2	1	no	—
1113	C₂²⋊C₈	—	2	1	no	—
1114	C₂²⋊C₈	—	2	1	no	—
1115	C₂²⋊C₈	—	2	1	no	—
1116	C₂²⋊C₈	—	2	1	no	—
1117	C₂²⋊C₈	—	2	1	no	—
1118	C₂²⋊C₈	—	2	1	no	—
1119	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1120	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1121	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1122	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1123	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1124	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1125	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1126	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1127	#97	—	2	1	no	—
1128	#97	—	2	1	no	—
1129	#97	—	2	1	no	—
1130	#97	—	2	1	no	—
1131	#97	—	2	1	no	—
1132	#97	—	2	1	no	—
1133	#97	—	2	1	no	—
1134	#97	—	2	1	no	—
1135	#97	—	4	1	no	—
1136	#97	—	4	1	no	—
1137	#97	—	4	1	no	—
1138	#97	—	4	1	no	—
1139	#97	C₂×D₄	1	1	yes	characteristic
1140	#97	C₂×D₄	1	1	yes	characteristic
1141	#97	C₂×D₄	1	1	yes	characteristic
1142	#97	C₂×D₄	1	1	yes	characteristic
1143	C₄×C₈	—	2	1	no	—
1144	C₄×C₈	—	2	1	no	—
1145	C₄×C₈	—	2	1	no	—
1146	C₄×C₈	—	2	1	no	—
1147	C₄×C₈	—	2	1	no	—
1148	C₄×C₈	—	2	1	no	—
1149	C₄×C₈	—	2	1	no	—
1150	C₄×C₈	—	2	1	no	—
1151	C₄×C₈	—	4	1	no	—
1152	C₄×C₈	—	4	1	no	—
1153	C₄×C₈	—	4	1	no	—
1154	C₄×C₈	—	4	1	no	—
1155	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1156	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1157	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1158	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1159	#95	—	2	1	no	—
1160	#95	—	2	1	no	—
1161	#95	—	2	1	no	—
1162	#95	—	2	1	no	—
1163	#95	—	2	1	no	—
1164	#95	—	2	1	no	—
1165	C₂⁴	—	2	1	no	—
1166	C₂⁴	—	2	1	no	—
1167	C₂⁴	—	2	1	no	—
1168	C₂⁴	C₂×#41	1	1	yes	characteristic
1169	#41	—	2	1	no	—
1170	#41	—	2	1	no	—
1171	#41	—	2	2	no	—
1172	#41	—	2	2	no	—
1173	#41	—	2	1	no	—
1174	#41	—	2	1	no	—
1175	#41	—	2	1	no	—
1176	#41	—	2	1	no	—
1177	#41	—	2	1	no	—
1178	#41	—	2	1	no	—
1179	#41	—	2	1	no	—
1180	#41	—	2	1	no	—
1181	#41	—	2	1	no	—
1182	#41	—	2	1	no	—
1183	#41	—	2	1	no	—
1184	#41	—	2	1	no	—
1185	#41	—	2	1	no	—
1186	#41	—	2	1	no	—
1187	#41	—	2	1	no	—
1188	#41	—	2	1	no	—
1189	#41	—	2	1	no	—
1190	#41	—	2	1	no	—
1191	#41	—	2	1	no	—
1192	#41	—	2	1	no	—
1193	#41	—	4	2	no	—
1194	#41	—	4	2	no	—
1195	#41	—	4	1	no	—
1196	#41	—	4	1	no	—
1197	#41	—	4	2	no	—
1198	#41	—	4	2	no	—
1199	#41	—	4	1	no	—
1200	#41	—	4	1	no	—
1201	#41	—	4	1	no	—
1202	#41	—	4	1	no	—
1203	#41	—	4	1	no	—
1204	#41	—	4	1	no	—
1205	#41	—	4	1	no	—
1206	#41	—	4	1	no	—
1207	#41	—	8	1	no	—
1208	#41	—	8	1	no	—
1209	#41	—	8	1	no	—
1210	#41	—	8	1	no	—
1211	#41	—	8	1	no	—
1212	#41	—	8	1	no	—
1213	#41	—	8	1	no	—
1214	#41	—	8	1	no	—
1215	#41	H(5,𝔽₂)	1	2	yes	—
1216	#41	H(5,𝔽₂)	1	2	yes	—
1217	C₂×Q₈	—	2	1	no	—
1218	C₂×Q₈	—	2	1	no	—
1219	C₂×Q₈	—	2	1	no	—
1220	C₂×Q₈	—	2	2	no	—
1221	C₂×Q₈	—	4	1	no	—
1222	C₂×Q₈	—	4	1	no	—
1223	C₂×Q₈	—	4	1	no	—
1224	C₂×Q₈	—	4	1	no	—
1225	C₂×Q₈	—	4	1	no	—
1226	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1227	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1228	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1229	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1230	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1231	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1232	C₂×D₄	—	2	1	no	—
1233	C₂×D₄	—	2	2	no	—
1234	C₂×D₄	—	2	1	no	—
1235	C₂×D₄	—	2	1	no	—
1236	C₂×D₄	—	2	1	no	—
1237	C₂×D₄	—	2	1	no	—
1238	C₂×D₄	—	2	1	no	—
1239	C₂×D₄	—	2	1	no	—
1240	C₂×D₄	—	2	1	no	—
1241	C₂×D₄	—	2	1	no	—
1242	C₂×D₄	—	2	1	no	—
1243	C₂×D₄	—	2	1	no	—
1244	C₂×D₄	—	2	1	no	—
1245	C₂×D₄	—	2	1	no	—
1246	C₂×D₄	—	2	1	no	—
1247	C₂×D₄	—	2	1	no	—
1248	C₂×D₄	—	2	1	no	—
1249	C₂×D₄	—	2	1	no	—
1250	C₂×D₄	—	2	1	no	—
1251	C₂×D₄	—	2	1	no	—
1252	C₂×D₄	—	2	1	no	—
1253	C₂×D₄	—	2	1	no	—
1254	C₂×D₄	—	2	1	no	—
1255	C₂×D₄	—	2	1	no	—
1256	C₂×D₄	—	4	1	no	—
1257	C₂×D₄	—	4	1	no	—
1258	C₂×D₄	—	4	1	no	—
1259	C₂×D₄	—	4	1	no	—
1260	C₂×D₄	—	4	1	no	—
1261	C₂×D₄	—	4	2	no	—
1262	C₂×D₄	—	4	2	no	—
1263	C₂×D₄	—	8	1	no	—
1264	C₂×D₄	—	8	1	no	—
1265	C₂×D₄	—	8	1	no	—
1266	C₂×D₄	—	8	1	no	—
1267	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1268	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1269	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1270	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1271	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1272	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1273	C₂²×C₄	—	2	1	no	—
1274	C₂²×C₄	—	2	1	no	—
1275	C₂²×C₄	—	2	1	no	—
1276	C₂²×C₄	—	2	1	no	—
1277	C₂²×C₄	—	2	1	no	—
1278	C₂²×C₄	—	2	1	no	—
1279	C₂²×C₄	—	2	1	no	—
1280	C₂²×C₄	—	2	1	no	—
1281	C₂²×C₄	—	2	1	no	—
1282	C₂²×C₄	—	2	1	no	—
1283	C₂²×C₄	—	2	1	no	—
1284	C₂²×C₄	—	2	1	no	—
1285	C₂²×C₄	—	2	1	no	—
1286	C₂²×C₄	—	2	1	no	—
1287	C₂²×C₄	—	2	1	no	—
1288	C₂²×C₄	—	2	1	no	—
1289	C₂²×C₄	—	2	1	no	—
1290	C₂²×C₄	—	2	1	no	—
1291	C₂²×C₄	—	2	1	no	—
1292	C₂²×C₄	—	2	1	no	—
1293	C₂²×C₄	—	2	1	no	—
1294	C₂²×C₄	—	2	1	no	—
1295	C₂²×C₄	—	2	1	no	—
1296	C₂²×C₄	—	2	1	no	—
1297	C₂²×C₄	—	2	1	no	—
1298	C₂²×C₄	—	2	1	no	—
1299	C₂²×C₄	—	2	1	no	—
1300	C₂²×C₄	—	2	1	no	—
1301	C₂²×C₄	—	2	1	no	—
1302	C₂²×C₄	—	2	1	no	—
1303	C₂²×C₄	—	2	1	no	—
1304	C₂²×C₄	—	2	1	no	—
1305	C₂²×C₄	—	2	1	no	—
1306	C₂²×C₄	—	4	2	no	—
1307	C₂²×C₄	—	4	2	no	—
1308	C₂²×C₄	—	8	1	no	—
1309	C₂²×C₄	—	8	1	no	—
1310	C₂²×C₄	—	8	1	no	—
1311	C₂²×C₄	—	8	1	no	—
1312	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1313	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1314	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1315	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1316	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1317	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1318	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1319	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1320	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1321	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1322	Q₁₆	—	2	2	no	—
1323	Q₁₆	—	2	2	no	—
1324	Q₁₆	—	2	2	no	—
1325	Q₁₆	—	2	2	no	—
1326	Q₁₆	—	4	1	no	—
1327	Q₁₆	—	4	1	no	—
1328	Q₁₆	—	4	1	no	—
1329	Q₁₆	—	4	1	no	—
1330	SD₁₆	—	2	2	no	—
1331	SD₁₆	—	2	2	no	—
1332	SD₁₆	—	2	2	no	—
1333	SD₁₆	—	2	2	no	—
1334	SD₁₆	—	2	2	no	—
1335	SD₁₆	—	2	2	no	—
1336	SD₁₆	—	2	2	no	—
1337	SD₁₆	—	2	2	no	—
1338	SD₁₆	—	4	1	no	—
1339	SD₁₆	—	4	1	no	—
1340	SD₁₆	—	4	1	no	—
1341	SD₁₆	—	4	1	no	—
1342	SD₁₆	—	4	1	no	—
1343	SD₁₆	—	4	1	no	—
1344	SD₁₆	—	4	1	no	—
1345	SD₁₆	—	4	1	no	—
1346	D₈	—	2	2	no	—
1347	D₈	—	2	2	no	—
1348	D₈	—	2	2	no	—
1349	D₈	—	2	2	no	—
1350	D₈	—	4	1	no	—
1351	D₈	—	4	1	no	—
1352	D₈	—	4	1	no	—
1353	D₈	—	4	1	no	—
1354	M₁₆	—	2	1	no	—
1355	M₁₆	—	2	1	no	—
1356	M₁₆	—	2	1	no	—
1357	M₁₆	—	2	1	no	—
1358	M₁₆	—	2	1	no	—
1359	M₁₆	—	2	1	no	—
1360	M₁₆	—	2	1	no	—
1361	M₁₆	—	2	1	no	—
1362	M₁₆	—	2	1	no	—
1363	M₁₆	—	2	1	no	—
1364	M₁₆	—	2	1	no	—
1365	M₁₆	—	2	1	no	—
1366	M₁₆	—	2	1	no	—
1367	M₁₆	—	2	1	no	—
1368	M₁₆	—	2	1	no	—
1369	M₁₆	—	2	1	no	—
1370	M₁₆	—	4	1	no	—
1371	M₁₆	—	4	1	no	—
1372	M₁₆	—	4	1	no	—
1373	M₁₆	—	4	1	no	—
1374	M₁₆	—	4	2	no	—
1375	M₁₆	—	4	2	no	—
1376	M₁₆	—	4	2	no	—
1377	M₁₆	—	4	2	no	—
1378	M₁₆	—	8	1	no	—
1379	M₁₆	—	8	1	no	—
1380	M₁₆	—	8	1	no	—
1381	M₁₆	—	8	1	no	—
1382	M₁₆	—	8	1	no	—
1383	M₁₆	—	8	1	no	—
1384	M₁₆	—	8	1	no	—
1385	M₁₆	—	8	1	no	—
1386	C₂×C₈	—	2	1	no	—
1387	C₂×C₈	—	2	1	no	—
1388	C₂×C₈	—	2	1	no	—
1389	C₂×C₈	—	2	1	no	—
1390	C₂×C₈	—	2	1	no	—
1391	C₂×C₈	—	2	1	no	—
1392	C₂×C₈	—	2	1	no	—
1393	C₂×C₈	—	2	1	no	—
1394	C₂×C₈	—	2	1	no	—
1395	C₂×C₈	—	2	1	no	—
1396	C₂×C₈	—	2	1	no	—
1397	C₂×C₈	—	2	1	no	—
1398	C₂×C₈	—	2	1	no	—
1399	C₂×C₈	—	2	1	no	—
1400	C₂×C₈	—	2	1	no	—
1401	C₂×C₈	—	2	1	no	—
1402	C₂×C₈	—	2	1	no	—
1403	C₂×C₈	—	2	1	no	—
1404	C₂×C₈	—	2	1	no	—
1405	C₂×C₈	—	2	1	no	—
1406	C₂×C₈	—	2	1	no	—
1407	C₂×C₈	—	2	1	no	—
1408	C₂×C₈	—	2	1	no	—
1409	C₂×C₈	—	2	1	no	—
1410	C₂×C₈	—	4	1	no	—
1411	C₂×C₈	—	4	1	no	—
1412	C₂×C₈	—	4	1	no	—
1413	C₂×C₈	—	4	1	no	—
1414	C₂×C₈	—	4	2	no	—
1415	C₂×C₈	—	4	2	no	—
1416	C₂×C₈	—	4	2	no	—
1417	C₂×C₈	—	4	2	no	—
1418	C₂×C₈	—	8	1	no	—
1419	C₂×C₈	—	8	1	no	—
1420	C₂×C₈	—	8	1	no	—
1421	C₂×C₈	—	8	1	no	—
1422	C₂×C₈	—	8	1	no	—
1423	C₂×C₈	—	8	1	no	—
1424	C₂×C₈	—	8	1	no	—
1425	C₂×C₈	—	8	1	no	—
1426	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1427	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1428	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1429	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1430	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1431	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1432	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1433	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1434	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1435	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1436	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1437	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1438	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1439	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1440	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1441	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	4	2	no	—
1461	C₄⋊C₄	—	8	1	no	—
1462	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1463	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1464	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1465	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1466	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1467	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1468	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1469	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1470	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1471	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1472	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1473	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	4	2	no	—
1503	C₂²⋊C₄	—	8	1	no	—
1504	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1505	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1506	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1507	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1508	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1509	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1510	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1511	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1512	C₄²	—	2	1	no	—
1513	C₄²	—	2	1	no	—
1514	C₄²	—	2	1	no	—
1515	C₄²	—	2	1	no	—
1516	C₄²	—	2	1	no	—
1517	C₄²	—	2	1	no	—
1518	C₄²	—	2	1	no	—
1519	C₄²	—	2	1	no	—
1520	C₄²	—	2	1	no	—
1521	C₄²	—	2	1	no	—
1522	C₄²	—	2	1	no	—
1523	C₄²	—	2	1	no	—
1524	C₄²	—	2	1	no	—
1525	C₄²	—	2	1	no	—
1526	C₄²	—	2	1	no	—
1527	C₄²	—	2	1	no	—
1528	C₄²	—	2	1	no	—
1529	C₄²	—	2	1	no	—
1530	C₄²	—	2	1	no	—
1531	C₄²	—	2	1	no	—
1532	C₄²	—	4	2	no	—
1533	C₄²	—	8	1	no	—
1534	C₄²	C₂³×C₄	1	1	yes	characteristic
1535	C₄²	C₂³×C₄	1	1	yes	characteristic
1536	C₄²	C₂³×C₄	1	1	yes	characteristic
1537	C₄²	C₂³×C₄	1	1	yes	characteristic
1538	C₄²	C₂²×D₄	1	1	yes	characteristic
1539	C₄²	C₂²×D₄	1	1	yes	characteristic
1540	C₄²	C₂²×D₄	1	1	yes	characteristic
1541	C₄²	C₂²×D₄	1	1	yes	characteristic
1542	C₂³	—	2	1	no	—
1543	C₂³	—	2	1	no	—
1544	C₂³	—	2	1	no	—
1545	C₂³	—	2	1	no	—
1546	C₂³	—	2	1	no	—
1547	C₂³	—	2	1	no	—
1548	C₂³	—	2	1	no	—
1549	C₂³	—	2	1	no	—
1550	C₂³	—	4	1	no	—
1551	C₂³	—	4	1	no	—
1552	C₂³	—	4	2	no	—
1553	C₂³	—	8	1	no	—
1554	C₂³	—	8	1	no	—
1555	C₂³	—	8	1	no	—
1556	C₂³	—	8	1	no	—
1557	C₂³	—	8	1	no	—
1558	C₂³	—	8	1	no	—
1559	C₂³	—	8	1	no	—
1560	C₂³	—	8	1	no	—
1561	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1562	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1563	C₂³	C₂²×#41	1	1	yes	characteristic
1564	Q₈	—	2	1	no	—
1565	Q₈	—	2	1	no	—
1566	Q₈	—	2	1	no	—
1567	Q₈	—	2	1	no	—
1568	Q₈	—	2	1	no	—
1569	Q₈	—	2	1	no	—
1570	Q₈	—	2	1	no	—
1571	Q₈	—	2	1	no	—
1572	Q₈	—	2	1	no	—
1573	Q₈	—	2	1	no	—
1574	Q₈	—	2	1	no	—
1575	Q₈	—	4	2	no	—
1576	Q₈	—	8	1	no	—
1577	Q₈	—	8	1	no	—
1578	Q₈	#518	1	2	yes	—
1579	D₄	—	2	2	no	—
1580	D₄	—	2	2	no	—
1581	D₄	—	2	1	no	—
1582	D₄	—	2	1	no	—
1583	D₄	—	2	1	no	—
1584	D₄	—	2	1	no	—
1585	D₄	—	2	1	no	—
1586	D₄	—	2	1	no	—
1587	D₄	—	2	1	no	—
1588	D₄	—	2	1	no	—
1589	D₄	—	2	1	no	—
1590	D₄	—	2	1	no	—
1591	D₄	—	2	1	no	—
1592	D₄	—	4	2	no	—
1593	D₄	—	4	2	no	—
1594	D₄	—	4	2	no	—
1595	D₄	—	4	1	no	—
1596	D₄	—	4	1	no	—
1597	D₄	—	4	1	no	—
1598	D₄	—	4	1	no	—
1599	D₄	—	4	1	no	—
1600	D₄	—	4	1	no	—
1601	D₄	—	4	1	no	—
1602	D₄	—	4	1	no	—
1603	D₄	—	4	1	no	—
1604	D₄	—	4	1	no	—
1605	D₄	—	8	1	no	—
1606	D₄	—	8	1	no	—
1607	D₄	—	8	1	no	—
1608	D₄	—	8	1	no	—
1609	D₄	—	8	1	no	—
1610	D₄	—	8	1	no	—
1611	D₄	—	8	1	no	—
1612	D₄	—	8	1	no	—
1613	D₄	—	8	1	no	—
1614	D₄	—	8	1	no	—
1615	D₄	—	8	1	no	—
1616	D₄	—	8	1	no	—
1617	D₄	—	8	1	no	—
1618	D₄	—	8	1	no	—
1619	D₄	#518	1	2	yes	—
1620	C₂×C₄	—	2	1	no	—
1621	C₂×C₄	—	2	1	no	—
1622	C₂×C₄	—	2	1	no	—
1623	C₂×C₄	—	2	1	no	—
1624	C₂×C₄	—	2	1	no	—
1625	C₂×C₄	—	2	1	no	—
1626	C₂×C₄	—	2	1	no	—
1627	C₂×C₄	—	2	2	no	—
1628	C₂×C₄	—	2	2	no	—
1629	C₂×C₄	—	2	1	no	—
1630	C₂×C₄	—	2	1	no	—
1631	C₂×C₄	—	2	1	no	—
1632	C₂×C₄	—	2	1	no	—
1633	C₂×C₄	—	2	2	no	—
1634	C₂×C₄	—	2	1	no	—
1635	C₂×C₄	—	2	1	no	—
1636	C₂×C₄	—	2	1	no	—
1637	C₂×C₄	—	2	1	no	—
1638	C₂×C₄	—	2	1	no	—
1639	C₂×C₄	—	2	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	2	1	no	—
1642	C₂×C₄	—	2	1	no	—
1643	C₂×C₄	—	4	1	no	—
1644	C₂×C₄	—	4	1	no	—
1645	C₂×C₄	—	4	1	no	—
1646	C₂×C₄	—	4	1	no	—
1647	C₂×C₄	—	4	2	no	—
1648	C₂×C₄	—	4	2	no	—
1649	C₂×C₄	—	4	2	no	—
1650	C₂×C₄	—	4	1	no	—
1651	C₂×C₄	—	4	1	no	—
1652	C₂×C₄	—	4	1	no	—
1653	C₂×C₄	—	4	1	no	—
1654	C₂×C₄	—	4	1	no	—
1655	C₂×C₄	—	4	1	no	—
1656	C₂×C₄	—	4	1	no	—
1657	C₂×C₄	—	4	1	no	—
1658	C₂×C₄	—	4	1	no	—
1659	C₂×C₄	—	4	1	no	—
1660	C₂×C₄	—	4	1	no	—
1661	C₂×C₄	—	4	1	no	—
1662	C₂×C₄	—	4	1	no	—
1663	C₂×C₄	—	4	1	no	—
1664	C₂×C₄	—	4	1	no	—
1665	C₂×C₄	—	4	1	no	—
1666	C₂×C₄	—	4	1	no	—
1667	C₂×C₄	—	4	1	no	—
1668	C₂×C₄	—	4	1	no	—
1669	C₂×C₄	—	4	1	no	—
1670	C₂×C₄	—	4	1	no	—
1671	C₂×C₄	—	8	1	no	—
1672	C₂×C₄	—	8	1	no	—
1673	C₂×C₄	—	8	1	no	—
1674	C₂×C₄	—	8	1	no	—
1675	C₂×C₄	—	8	1	no	—
1676	C₂×C₄	—	8	1	no	—
1677	C₂×C₄	—	8	1	no	—
1678	C₂×C₄	—	8	1	no	—
1679	C₂×C₄	—	8	1	no	—
1680	C₂×C₄	—	8	1	no	—
1681	C₂×C₄	—	8	1	no	—
1682	C₂×C₄	—	8	1	no	—
1683	C₂×C₄	—	8	1	no	—
1684	C₂×C₄	—	8	1	no	—
1685	C₂×C₄	—	8	1	no	—
1686	C₂×C₄	—	8	1	no	—
1687	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1688	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1689	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1690	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1691	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1692	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1693	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1694	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1695	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1696	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1697	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
1698	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1699	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1700	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1701	C₂×C₄	#585	1	1	yes	characteristic
1702	C₂×C₄	#585	1	1	yes	characteristic
1703	C₈	—	2	1	no	—
1704	C₈	—	2	1	no	—
1705	C₈	—	2	1	no	—
1706	C₈	—	2	1	no	—
1707	C₈	—	2	1	no	—
1708	C₈	—	2	1	no	—
1709	C₈	—	2	1	no	—
1710	C₈	—	2	1	no	—
1711	C₈	—	2	1	no	—
1712	C₈	—	2	1	no	—
1713	C₈	—	2	1	no	—
1714	C₈	—	2	1	no	—
1715	C₈	—	2	1	no	—
1716	C₈	—	2	1	no	—
1717	C₈	—	2	1	no	—
1718	C₈	—	2	1	no	—
1719	C₈	—	4	1	no	—
1720	C₈	—	4	1	no	—
1721	C₈	—	4	1	no	—
1722	C₈	—	4	1	no	—
1723	C₈	—	4	1	no	—
1724	C₈	—	4	1	no	—
1725	C₈	—	4	1	no	—
1726	C₈	—	4	1	no	—
1727	C₂²	—	2	1	no	—
1728	C₂²	—	2	1	no	—
1729	C₂²	—	2	1	no	—
1730	C₂²	—	2	1	no	—
1731	C₂²	—	2	1	no	—
1732	C₂²	—	2	1	no	—
1733	C₂²	—	2	1	no	—
1734	C₂²	—	2	1	no	—
1735	C₂²	—	2	2	no	—
1736	C₂²	—	4	1	no	—
1737	C₂²	—	4	1	no	—
1738	C₂²	—	4	1	no	—
1739	C₂²	—	4	1	no	—
1740	C₂²	—	4	1	no	—
1741	C₂²	—	4	1	no	—
1742	C₂²	—	4	1	no	—
1743	C₂²	—	4	1	no	—
1744	C₂²	—	4	1	no	—
1745	C₂²	—	4	1	no	—
1746	C₂²	—	4	1	no	—
1747	C₂²	—	4	1	no	—
1748	C₂²	—	4	1	no	—
1749	C₂²	—	4	1	no	—
1750	C₂²	—	4	1	no	—
1751	C₂²	—	4	1	no	—
1752	C₂²	—	4	1	no	—
1753	C₂²	—	8	1	no	—
1754	C₂²	—	8	1	no	—
1755	C₂²	—	16	2	no	—
1756	C₂²	—	16	2	no	—
1757	C₂²	—	16	2	no	—
1758	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1759	C₂²	#3494	1	1	yes	characteristic
1760	C₂²	#3494	1	1	yes	characteristic
1761	C₄	—	2	1	no	—
1762	C₄	—	2	1	no	—
1763	C₄	—	2	1	no	—
1764	C₄	—	2	1	no	—
1765	C₄	—	2	1	no	—
1766	C₄	—	2	1	no	—
1767	C₄	—	2	1	no	—
1768	C₄	—	2	1	no	—
1769	C₄	—	2	1	no	—
1770	C₄	—	2	1	no	—
1771	C₄	—	2	2	no	—
1772	C₄	—	4	2	no	—
1773	C₄	—	4	1	no	—
1774	C₄	—	4	1	no	—
1775	C₄	—	4	1	no	—
1776	C₄	—	4	1	no	—
1777	C₄	—	4	1	no	—
1778	C₄	—	4	1	no	—
1779	C₄	—	4	1	no	—
1780	C₄	—	4	1	no	—
1781	C₄	—	4	1	no	—
1782	C₄	—	8	1	no	—
1783	C₄	—	8	1	no	—
1784	C₄	—	8	1	no	—
1785	C₄	C₂×#518	1	1	yes	characteristic
1786	C₄	#3428	1	1	yes	characteristic
1787	C₄	#3488	1	1	yes	characteristic
1788	C₄	#3488	1	1	yes	characteristic
1789	C₂	—	2	1	no	—
1790	C₂	—	2	1	no	—
1791	C₂	—	4	1	no	—
1792	C₂	—	4	1	no	—
1793	C₂	—	4	2	no	—
1794	C₂	—	8	1	no	—
1795	C₂	—	8	1	no	—
1796	C₂	—	8	1	no	—
1797	C₂	—	8	1	no	—
1798	C₂	—	8	1	no	—
1799	C₂	#34204	1	1	yes	characteristic
1800	C₂	#60183	1	1	yes	characteristic
1801	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	#60422	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄ ◁ C₂×#433 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #60238	C₂	semidirect
3. #60129	C₂	semidirect
4. #23115	C₂	semidirect
5. #23115	C₂	semidirect
6. #23114	C₂	semidirect
7. #23113	C₂	semidirect
8. #23017	C₂	semidirect
9. #23017	C₂	semidirect
10. #23016	C₂	semidirect
11. #23015	C₂	semidirect
12. #22588	C₂	semidirect
13. #22588	C₂	semidirect
14. #22587	C₂	semidirect
15. #22586	C₂	semidirect
16. #22454	C₂	semidirect
17. #22453	C₂	semidirect
18. #22453	C₂	semidirect
19. #22452	C₂	semidirect
20. #22167	C₂	semidirect
21. #22167	C₂	semidirect
22. #22166	C₂	semidirect
23. #22165	C₂	semidirect
24. #21971	C₂	semidirect
25. #21817	C₂	semidirect
26. #21519	C₂	semidirect
27. #21519	C₂	semidirect
28. #21518	C₂	semidirect
29. #21517	C₂	semidirect
30. #20749	C₂	semidirect
31. #20553	C₂	semidirect
36. #3046	C₄	semidirect
37. #3046	C₄	semidirect
38. #3046	C₄	semidirect
39. #3046	C₄	semidirect
40. #3045	C₄	semidirect
41. #3045	C₄	semidirect
42. #3045	C₄	semidirect
43. #3045	C₄	semidirect
44. #3044	C₄	semidirect
45. #3044	C₄	semidirect
46. #3043	C₄	semidirect
47. #3043	C₄	semidirect
48. #3042	C₄	semidirect
49. #3042	C₄	semidirect
50. #3041	C₄	semidirect
51. #3041	C₄	semidirect
68. C₂×#444	C₂²	semidirect
69. C₂×#444	C₂²	semidirect
70. C₂×#444	C₂²	semidirect
71. C₂×#444	C₂²	semidirect
72. C₂×#443	C₂²	semidirect
73. C₂×#443	C₂²	semidirect
74. C₂×#443	C₂²	semidirect
75. C₂×#443	C₂²	semidirect
76. #2935	C₂²	semidirect
77. #2935	C₂²	semidirect
78. #2935	C₂²	semidirect
79. #2935	C₂²	semidirect
80. #2932	C₂²	semidirect
81. #2932	C₂²	semidirect
82. #2931	C₂²	semidirect
83. #2931	C₂²	semidirect
86. #2925	C₂²	semidirect
87. #2925	C₂²	semidirect
93. #2923	C₂²	semidirect
95. #2922	C₂²	semidirect
101. #2906	C₂²	semidirect
102. #2906	C₂²	semidirect
112. #2875	C₂²	semidirect
113. C₄×#131	C₂²	semidirect
115. #1980	C₂²	semidirect
116. #1980	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. #1974	C₂²	semidirect
126. #1974	C₂²	semidirect
127. #1963	C₂²	semidirect
128. #1963	C₂²	semidirect
129. #1962	C₂²	semidirect
130. #1962	C₂²	semidirect
131. #1950	C₂²	semidirect
132. #1950	C₂²	semidirect
133. #1950	C₂²	semidirect
134. #1950	C₂²	semidirect
135. #1950	C₂²	semidirect
136. #1950	C₂²	semidirect
137. #1950	C₂²	semidirect
138. #1950	C₂²	semidirect
139. #1938	C₂²	semidirect
140. #1938	C₂²	semidirect
141. #1938	C₂²	semidirect
142. #1938	C₂²	semidirect
143. #1937	C₂²	semidirect
144. #1937	C₂²	semidirect
145. #1937	C₂²	semidirect
146. #1937	C₂²	semidirect
147. #1929	C₂²	semidirect
148. #1929	C₂²	semidirect
149. #1929	C₂²	semidirect
150. #1929	C₂²	semidirect
151. #1929	C₂²	semidirect
152. #1929	C₂²	semidirect
153. #1929	C₂²	semidirect
154. #1929	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. #1866	C₂²	semidirect
172. #1866	C₂²	semidirect
173. #1866	C₂²	semidirect
174. #1866	C₂²	semidirect
175. #1866	C₂²	semidirect
176. #1866	C₂²	semidirect
177. #1866	C₂²	semidirect
178. #1866	C₂²	semidirect
185. #1806	C₂²	semidirect
186. #1806	C₂²	semidirect
187. #1806	C₂²	semidirect
188. #1806	C₂²	semidirect
195. #1771	C₂²	semidirect
196. #1771	C₂²	semidirect
197. #1770	C₂²	semidirect
198. C₈×C₄⋊C₄	C₂²	semidirect
199. #1768	C₂²	semidirect
200. #1768	C₂²	semidirect
201. #1767	C₂²	semidirect
202. C₄×C₄⋊C₈	C₂²	semidirect
203. #1765	C₂²	semidirect
204. #1765	C₂²	semidirect
205. #1765	C₂²	semidirect
206. #1765	C₂²	semidirect
207. #1764	C₂²	semidirect
208. #1764	C₂²	semidirect
209. #1764	C₂²	semidirect
210. #1764	C₂²	semidirect
211. #1759	C₂²	semidirect
212. #1759	C₂²	semidirect
213. C₄×#104	C₂²	semidirect
214. C₄×#104	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#60422	2
#60238	2
#60129	2
#23115	2
#23114	2
#23113	2
#23017	2
#23016	2
#23015	2
#22588	2
#22587	2
#22586	2
#22454	2
#22453	2
#22452	2
#22167	2
#22166	2
#22165	2
#21971	2
#21817	2
#21519	2
#21518	2
#21517	2
#20749	2
#20553	2