Subgroups — #6396220

Order 512.

1913 conjugacy classes of subgroups.

The subgroup lattice has 1831 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#60749	C₂	1	1	yes	maximal, characteristic
2	#60235	C₂	1	1	yes	maximal, characteristic, complemented
3	#60235	C₂	1	1	yes	maximal, characteristic, complemented
4	#22951	C₂	1	1	yes	maximal, characteristic, complemented
5	#22951	C₂	1	1	yes	maximal, characteristic, complemented
6	#22950	C₂	1	1	yes	maximal, characteristic, complemented
7	#22950	C₂	1	1	yes	maximal, characteristic, complemented
8	#22949	C₂	1	1	yes	maximal, characteristic, complemented
9	#22949	C₂	1	1	yes	maximal, characteristic, complemented
10	#22948	C₂	1	1	yes	maximal, characteristic, complemented
11	#22948	C₂	1	1	yes	maximal, characteristic, complemented
12	#22889	C₂	1	1	yes	maximal, characteristic, complemented
13	#22889	C₂	1	1	yes	maximal, characteristic, complemented
14	#22888	C₂	1	1	yes	maximal, characteristic, complemented
15	#22888	C₂	1	1	yes	maximal, characteristic, complemented
16	#22887	C₂	1	1	yes	maximal, characteristic, complemented
17	#22887	C₂	1	1	yes	maximal, characteristic, complemented
18	#22886	C₂	1	1	yes	maximal, characteristic, complemented
19	#22886	C₂	1	1	yes	maximal, characteristic, complemented
20	#22207	C₂	1	1	yes	maximal, characteristic, complemented
21	#22207	C₂	1	1	yes	maximal, characteristic, complemented
22	#22204	C₂	1	1	yes	maximal, characteristic, complemented
23	#22204	C₂	1	1	yes	maximal, characteristic, complemented
24	#21950	C₂	1	1	yes	maximal, characteristic, complemented
25	#21550	C₂	1	1	yes	maximal, characteristic, complemented
26	#21548	C₂	1	1	yes	maximal, characteristic, complemented
27	#21547	C₂	1	1	yes	maximal, characteristic, complemented
28	#21545	C₂	1	1	yes	maximal, characteristic, complemented
29	#20980	C₂	1	1	yes	maximal, characteristic, complemented
30	#20980	C₂	1	1	yes	maximal, characteristic, complemented
31	#20378	C₂	1	1	yes	maximal, characteristic, complemented
32	#3449	C₂²	1	1	yes	characteristic
33	#3449	C₂²	1	1	yes	characteristic
34	C₂×C₄×#41	C₂²	1	1	yes	characteristic
35	#3204	C₄	1	1	yes	characteristic, complemented
36	#3204	C₄	1	1	yes	characteristic, complemented
37	#3203	C₄	1	1	yes	characteristic, complemented
38	#3203	C₄	1	1	yes	characteristic, complemented
39	#3202	C₄	1	1	yes	characteristic, complemented
40	#3201	C₄	1	1	yes	characteristic, complemented
41	#3201	C₄	1	1	yes	characteristic, complemented
42	#3201	C₄	1	1	yes	characteristic, complemented
43	#3201	C₄	1	1	yes	characteristic, complemented
44	#3200	C₄	1	1	yes	characteristic, complemented
45	#3200	C₄	1	1	yes	characteristic, complemented
46	#3199	C₄	1	1	yes	characteristic, complemented
47	#3198	C₄	1	1	yes	characteristic, complemented
48	#3198	C₄	1	1	yes	characteristic, complemented
49	#3198	C₄	1	1	yes	characteristic, complemented
50	#3198	C₄	1	1	yes	characteristic, complemented
51	#3091	C₂²	1	1	yes	characteristic
52	#3091	C₂²	1	1	yes	characteristic
53	#3091	C₂²	1	1	yes	characteristic
54	#3091	C₂²	1	1	yes	characteristic
55	#3054	C₂²	1	1	yes	characteristic
56	#3054	C₂²	1	1	yes	characteristic
57	#3050	C₂²	1	1	yes	characteristic
58	#3050	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	#2981	—	2	1	no	—
65	#2981	—	2	1	no	—
66	#2981	—	2	1	no	—
67	#2980	—	2	1	no	—
68	#2980	—	2	1	no	—
69	#2979	—	2	1	no	—
70	#2979	—	2	1	no	—
71	#2978	—	2	1	no	—
72	#2978	—	2	1	no	—
73	#2977	—	2	1	no	—
74	#2977	—	2	1	no	—
75	#2976	—	2	1	no	—
76	#2976	—	2	1	no	—
77	#2976	—	2	1	no	—
78	#2976	—	2	1	no	—
79	C₂×#444	C₂²	1	1	yes	characteristic
80	C₂×#444	C₂²	1	1	yes	characteristic
81	C₂×#443	C₂²	1	1	yes	characteristic
82	C₂×#443	C₂²	1	1	yes	characteristic
83	#2933	C₂²	1	1	yes	characteristic
84	#2933	C₂²	1	1	yes	characteristic
85	#2933	C₂²	1	1	yes	characteristic
86	#2933	C₂²	1	1	yes	characteristic
87	#2933	C₂²	1	1	yes	characteristic
88	#2933	C₂²	1	1	yes	characteristic
89	#2933	C₂²	1	1	yes	characteristic
90	#2933	C₂²	1	1	yes	characteristic
91	#2930	C₂²	1	1	yes	characteristic, complemented
92	#2930	C₂²	1	1	yes	characteristic, complemented
93	#2930	C₂²	1	1	yes	characteristic, complemented
94	#2930	C₂²	1	1	yes	characteristic, complemented
95	#2929	C₂²	1	1	yes	characteristic, complemented
96	#2929	C₂²	1	1	yes	characteristic, complemented
97	#2929	C₂²	1	1	yes	characteristic, complemented
98	#2929	C₂²	1	1	yes	characteristic, complemented
99	#2924	C₂²	1	1	yes	characteristic, complemented
100	#2924	C₂²	1	1	yes	characteristic, complemented
101	#2924	C₂²	1	1	yes	characteristic, complemented
102	#2924	C₂²	1	1	yes	characteristic, complemented
103	C₂×#421	C₂²	1	1	yes	characteristic, complemented
104	C₂×#421	C₂²	1	1	yes	characteristic, complemented
105	C₂²×#104	C₂²	1	1	yes	characteristic, complemented
106	C₂²×#104	C₂²	1	1	yes	characteristic, complemented
107	#2880	C₂²	1	1	yes	characteristic, complemented
108	#2880	C₂²	1	1	yes	characteristic, complemented
109	#2880	C₂²	1	1	yes	characteristic, complemented
110	#2880	C₂²	1	1	yes	characteristic, complemented
111	#2879	C₂²	1	1	yes	characteristic
112	#2879	C₂²	1	1	yes	characteristic
113	C₂×#408	C₂²	1	1	yes	characteristic
114	C₂×#408	C₂²	1	1	yes	characteristic
115	C₂×#405	C₂²	1	1	yes	characteristic, complemented
116	C₂×#405	C₂²	1	1	yes	characteristic, complemented
117	#1975	C₂²	1	1	yes	characteristic
118	#1975	C₂²	1	1	yes	characteristic
119	#1974	C₂²	1	1	yes	characteristic
120	#1974	C₂²	1	1	yes	characteristic
121	#1946	C₂²	1	1	yes	characteristic, complemented
122	#1946	C₂²	1	1	yes	characteristic, complemented
123	#1945	C₂²	1	1	yes	characteristic, complemented
124	#1945	C₂²	1	1	yes	characteristic, complemented
125	#1938	C₂²	1	1	yes	characteristic, complemented
126	#1938	C₂²	1	1	yes	characteristic, complemented
127	#1938	C₂²	1	1	yes	characteristic, complemented
128	#1938	C₂²	1	1	yes	characteristic, complemented
129	#1937	C₂²	1	1	yes	characteristic, complemented
130	#1937	C₂²	1	1	yes	characteristic, complemented
131	#1937	C₂²	1	1	yes	characteristic, complemented
132	#1937	C₂²	1	1	yes	characteristic, complemented
133	#1929	C₂²	1	1	yes	characteristic, complemented
134	#1929	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	#1922	C₂²	1	1	yes	characteristic, complemented
146	#1922	C₂²	1	1	yes	characteristic, complemented
147	#1922	C₂²	1	1	yes	characteristic, complemented
148	#1922	C₂²	1	1	yes	characteristic, complemented
149	#1897	C₂²	1	1	yes	characteristic
150	#1897	C₂²	1	1	yes	characteristic
151	#1897	C₂²	1	1	yes	characteristic
152	#1897	C₂²	1	1	yes	characteristic
153	#1897	C₂²	1	1	yes	characteristic, complemented
154	#1897	C₂²	1	1	yes	characteristic, complemented
155	#1897	C₂²	1	1	yes	characteristic, complemented
156	#1897	C₂²	1	1	yes	characteristic, complemented
157	#1896	C₂²	1	1	yes	characteristic
158	#1896	C₂²	1	1	yes	characteristic
159	#1896	C₂²	1	1	yes	characteristic
160	#1896	C₂²	1	1	yes	characteristic
161	#1896	C₂²	1	1	yes	characteristic, complemented
162	#1896	C₂²	1	1	yes	characteristic, complemented
163	#1896	C₂²	1	1	yes	characteristic, complemented
164	#1896	C₂²	1	1	yes	characteristic, complemented
165	#1876	C₂²	1	1	yes	characteristic
166	#1876	C₂²	1	1	yes	characteristic
167	#1876	C₂²	1	1	yes	characteristic
168	#1876	C₂²	1	1	yes	characteristic
169	#1876	C₂²	1	1	yes	characteristic
170	#1876	C₂²	1	1	yes	characteristic
171	#1876	C₂²	1	1	yes	characteristic
172	#1876	C₂²	1	1	yes	characteristic
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	#1866	C₂²	1	1	yes	characteristic, complemented
180	#1866	C₂²	1	1	yes	characteristic, complemented
181	#1855	C₂²	1	1	yes	characteristic, complemented
182	#1855	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	#1855	C₂²	1	1	yes	characteristic, complemented
188	#1855	C₂²	1	1	yes	characteristic, complemented
189	#1811	C₂²	1	1	yes	characteristic, complemented
190	#1811	C₂²	1	1	yes	characteristic, complemented
191	#1810	C₂²	1	1	yes	characteristic, complemented
192	#1810	C₂²	1	1	yes	characteristic, complemented
193	#1773	C₂²	1	1	yes	characteristic, complemented
194	#1773	C₂²	1	1	yes	characteristic, complemented
195	#1772	C₂²	1	1	yes	characteristic, complemented
196	#1772	C₂²	1	1	yes	characteristic, complemented
197	#1765	C₂²	1	1	yes	characteristic, complemented
198	#1765	C₂²	1	1	yes	characteristic, complemented
199	#1765	C₂²	1	1	yes	characteristic, complemented
200	#1765	C₂²	1	1	yes	characteristic, complemented
201	#1764	C₂²	1	1	yes	characteristic, complemented
202	#1764	C₂²	1	1	yes	characteristic, complemented
203	#1764	C₂²	1	1	yes	characteristic, complemented
204	#1764	C₂²	1	1	yes	characteristic, complemented
205	#1750	C₂²	1	1	yes	characteristic, complemented
206	#1750	C₂²	1	1	yes	characteristic, complemented
207	#1750	C₂²	1	1	yes	characteristic, complemented
208	#1750	C₂²	1	1	yes	characteristic, complemented
209	#1749	C₂²	1	1	yes	characteristic, complemented
210	#1749	C₂²	1	1	yes	characteristic, complemented
211	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
212	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
213	#1733	C₂²	1	1	yes	characteristic, complemented
214	#1733	C₂²	1	1	yes	characteristic, complemented
215	C₂×#339	C₂²	1	1	yes	characteristic, complemented
216	C₂×#339	C₂²	1	1	yes	characteristic, complemented
217	#1728	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	C₂×#135	C₂³	1	1	yes	characteristic
223	C₂×#135	C₂³	1	1	yes	characteristic
224	C₂×#135	C₂³	1	1	yes	characteristic
225	C₂×#135	C₂³	1	1	yes	characteristic
226	C₂×#131	C₂³	1	1	yes	characteristic
227	C₂×#131	C₂³	1	1	yes	characteristic
228	C₂×#131	C₂³	1	1	yes	characteristic
229	C₂×#131	C₂³	1	1	yes	characteristic
230	C₂×#131	C₂³	1	1	yes	characteristic
231	C₂×#131	C₂³	1	1	yes	characteristic
232	C₂×#131	C₂³	1	1	yes	characteristic
233	C₂×#131	C₂³	1	1	yes	characteristic
234	C₂²×M₁₆	C₂³	1	1	yes	characteristic
235	C₂²×M₁₆	C₂³	1	1	yes	characteristic
236	C₂²×M₁₆	C₂³	1	1	yes	characteristic
237	C₂²×M₁₆	C₂³	1	1	yes	characteristic
238	C₂²×M₁₆	C₂³	1	1	yes	characteristic
239	C₂²×M₁₆	C₂³	1	1	yes	characteristic
240	C₂³×C₈	C₂³	1	1	yes	characteristic
241	C₂³×C₈	C₂³	1	1	yes	characteristic
242	#537	C₂×C₄	1	1	yes	characteristic
243	#537	C₂×C₄	1	1	yes	characteristic
244	#537	C₂×C₄	1	1	yes	characteristic
245	#537	C₂×C₄	1	1	yes	characteristic
246	#537	C₂×C₄	1	1	yes	characteristic
247	#537	C₂×C₄	1	1	yes	characteristic
248	#537	C₂×C₄	1	1	yes	characteristic
249	#537	C₂×C₄	1	1	yes	characteristic
250	#536	—	2	1	no	—
251	#536	—	2	1	no	—
252	#536	C₂×C₄	1	1	yes	characteristic
253	#536	C₂×C₄	1	1	yes	characteristic
254	#536	C₂×C₄	1	1	yes	characteristic
255	#536	C₂×C₄	1	1	yes	characteristic
256	#535	—	2	1	no	—
257	#535	—	2	1	no	—
258	#535	C₂×C₄	1	1	yes	characteristic
259	#535	C₂×C₄	1	1	yes	characteristic
260	#535	C₂×C₄	1	1	yes	characteristic
261	#535	C₂×C₄	1	1	yes	characteristic
262	#534	—	2	1	no	—
263	#534	—	2	1	no	—
264	#534	—	2	1	no	—
265	#534	—	2	1	no	—
266	#532	—	2	1	no	—
267	#532	—	2	1	no	—
268	#532	—	2	1	no	—
269	#532	—	2	1	no	—
270	#525	—	2	1	no	—
271	#525	—	2	1	no	—
272	#525	—	2	1	no	—
273	#525	—	2	1	no	—
274	#525	C₂³	1	1	yes	characteristic
275	#525	C₂³	1	1	yes	characteristic
276	#525	C₂³	1	1	yes	characteristic
277	#525	C₂³	1	1	yes	characteristic
278	#525	C₂³	1	1	yes	characteristic
279	#525	C₂³	1	1	yes	characteristic
280	#525	C₂³	1	1	yes	characteristic
281	#525	C₂³	1	1	yes	characteristic
282	C₄×#41	—	4	2	no	—
283	C₄×#41	—	4	2	no	—
284	C₂×C₄×Q₈	—	2	1	no	—
285	C₂×C₄×D₄	—	2	1	no	—
286	C₂×C₄×D₄	—	2	1	no	—
287	C₂×C₄×D₄	—	2	1	no	—
288	C₂×#117	C₂³	1	1	yes	characteristic
289	C₂×#117	C₂³	1	1	yes	characteristic
290	C₂×#117	C₂³	1	1	yes	characteristic
291	C₂×#117	C₂³	1	1	yes	characteristic
292	C₂×#117	C₂³	1	1	yes	characteristic
293	C₂²×C₄²	C₂³	1	1	yes	characteristic
294	C₂²×C₄²	C₂³	1	1	yes	characteristic
295	C₂²×C₄²	C₂³	1	1	yes	characteristic
296	#485	C₂×C₄	1	1	yes	characteristic, complemented
297	#485	C₂×C₄	1	1	yes	characteristic, complemented
298	#485	C₂×C₄	1	1	yes	characteristic, complemented
299	#485	C₂×C₄	1	1	yes	characteristic, complemented
300	#485	C₂×C₄	1	1	yes	characteristic, complemented
301	#485	C₂×C₄	1	1	yes	characteristic, complemented
302	#485	C₂×C₄	1	1	yes	characteristic, complemented
303	#485	C₂×C₄	1	1	yes	characteristic, complemented
304	#484	C₂×C₄	1	1	yes	characteristic, complemented
305	#484	C₂×C₄	1	1	yes	characteristic, complemented
306	#484	C₂×C₄	1	1	yes	characteristic, complemented
307	#484	C₂×C₄	1	1	yes	characteristic, complemented
308	#483	C₂×C₄	1	1	yes	characteristic, complemented
309	#483	C₂×C₄	1	1	yes	characteristic, complemented
310	#483	C₂×C₄	1	1	yes	characteristic, complemented
311	#483	C₂×C₄	1	1	yes	characteristic, complemented
312	#482	C₂×C₄	1	1	yes	characteristic, complemented
313	#482	C₂×C₄	1	1	yes	characteristic, complemented
314	#482	C₂×C₄	1	1	yes	characteristic, complemented
315	#482	C₂×C₄	1	1	yes	characteristic, complemented
316	#482	C₂×C₄	1	1	yes	characteristic, complemented
317	#482	C₂×C₄	1	1	yes	characteristic, complemented
318	#482	C₂×C₄	1	1	yes	characteristic, complemented
319	#482	C₂×C₄	1	1	yes	characteristic, complemented
320	#481	C₂×C₄	1	1	yes	characteristic, complemented
321	#481	C₂×C₄	1	1	yes	characteristic, complemented
322	#481	C₂×C₄	1	1	yes	characteristic, complemented
323	#481	C₂×C₄	1	1	yes	characteristic, complemented
324	#480	C₂×C₄	1	1	yes	characteristic, complemented
325	#480	C₂×C₄	1	1	yes	characteristic, complemented
326	#480	C₂×C₄	1	1	yes	characteristic, complemented
327	#480	C₂×C₄	1	1	yes	characteristic, complemented
328	#470	C₂×C₄	1	1	yes	characteristic, complemented
329	#470	C₂×C₄	1	1	yes	characteristic, complemented
330	#470	C₂×C₄	1	1	yes	characteristic, complemented
331	#470	C₂×C₄	1	1	yes	characteristic, complemented
332	#469	C₂×C₄	1	1	yes	characteristic, complemented
333	#469	C₂×C₄	1	1	yes	characteristic, complemented
334	#469	C₂×C₄	1	1	yes	characteristic, complemented
335	#469	C₂×C₄	1	1	yes	characteristic, complemented
336	#468	C₂×C₄	1	1	yes	characteristic, complemented
337	#468	C₂×C₄	1	1	yes	characteristic, complemented
338	#468	C₂×C₄	1	1	yes	characteristic, complemented
339	#468	C₂×C₄	1	1	yes	characteristic, complemented
340	#468	C₂×C₄	1	1	yes	characteristic, complemented
341	#468	C₂×C₄	1	1	yes	characteristic, complemented
342	#468	C₂×C₄	1	1	yes	characteristic, complemented
343	#468	C₂×C₄	1	1	yes	characteristic, complemented
344	#467	C₂×C₄	1	1	yes	characteristic, complemented
345	#467	C₂×C₄	1	1	yes	characteristic, complemented
346	#467	C₂×C₄	1	1	yes	characteristic, complemented
347	#467	C₂×C₄	1	1	yes	characteristic, complemented
348	#466	C₂×C₄	1	1	yes	characteristic, complemented
349	#466	C₂×C₄	1	1	yes	characteristic, complemented
350	#466	C₂×C₄	1	1	yes	characteristic, complemented
351	#466	C₂×C₄	1	1	yes	characteristic, complemented
352	#465	C₂×C₄	1	1	yes	characteristic, complemented
353	#465	C₂×C₄	1	1	yes	characteristic, complemented
354	#465	C₂×C₄	1	1	yes	characteristic, complemented
355	#465	C₂×C₄	1	1	yes	characteristic, complemented
356	#465	C₂×C₄	1	1	yes	characteristic, complemented
357	#465	C₂×C₄	1	1	yes	characteristic, complemented
358	#465	C₂×C₄	1	1	yes	characteristic, complemented
359	#465	C₂×C₄	1	1	yes	characteristic, complemented
360	#452	C₂×C₄	1	1	yes	characteristic, complemented
361	#452	C₂×C₄	1	1	yes	characteristic, complemented
362	#452	C₂×C₄	1	1	yes	characteristic, complemented
363	#452	C₂×C₄	1	1	yes	characteristic, complemented
364	#452	C₂×C₄	1	1	yes	characteristic, complemented
365	#452	C₂×C₄	1	1	yes	characteristic, complemented
366	#452	C₂×C₄	1	1	yes	characteristic, complemented
367	#452	C₂×C₄	1	1	yes	characteristic, complemented
368	#451	C₂×C₄	1	1	yes	characteristic, complemented
369	#451	C₂×C₄	1	1	yes	characteristic, complemented
370	#451	C₂×C₄	1	1	yes	characteristic, complemented
371	#451	C₂×C₄	1	1	yes	characteristic, complemented
372	#450	C₂×C₄	1	1	yes	characteristic, complemented
373	#450	C₂×C₄	1	1	yes	characteristic, complemented
374	#450	C₂×C₄	1	1	yes	characteristic, complemented
375	#450	C₂×C₄	1	1	yes	characteristic, complemented
376	#449	C₂×C₄	1	1	yes	characteristic, complemented
377	#449	C₂×C₄	1	1	yes	characteristic, complemented
378	#449	C₂×C₄	1	1	yes	characteristic, complemented
379	#449	C₂×C₄	1	1	yes	characteristic, complemented
380	#449	C₂×C₄	1	1	yes	characteristic, complemented
381	#449	C₂×C₄	1	1	yes	characteristic, complemented
382	#449	C₂×C₄	1	1	yes	characteristic, complemented
383	#449	C₂×C₄	1	1	yes	characteristic, complemented
384	#448	C₂×C₄	1	1	yes	characteristic, complemented
385	#448	C₂×C₄	1	1	yes	characteristic, complemented
386	#448	C₂×C₄	1	1	yes	characteristic, complemented
387	#448	C₂×C₄	1	1	yes	characteristic, complemented
388	#447	C₂×C₄	1	1	yes	characteristic, complemented
389	#447	C₂×C₄	1	1	yes	characteristic, complemented
390	#447	C₂×C₄	1	1	yes	characteristic, complemented
391	#447	C₂×C₄	1	1	yes	characteristic, complemented
392	#444	—	4	2	no	—
393	#444	—	4	2	no	—
394	#443	—	4	2	no	—
395	#443	—	4	2	no	—
396	#436	—	2	1	no	—
397	#436	—	2	1	no	—
398	#436	—	2	1	no	—
399	#436	—	2	1	no	—
400	#436	—	2	1	no	—
401	#436	—	2	1	no	—
402	#436	—	2	1	no	—
403	#436	—	2	1	no	—
404	#436	—	2	1	no	—
405	#436	—	2	1	no	—
406	#436	—	2	1	no	—
407	#436	—	2	1	no	—
408	#436	—	2	1	no	—
409	#436	—	2	1	no	—
410	#436	—	2	1	no	—
411	#436	—	2	1	no	—
412	#435	—	2	1	no	—
413	#435	—	2	1	no	—
414	#435	—	2	1	no	—
415	#435	—	2	1	no	—
416	#435	—	2	1	no	—
417	#435	—	2	1	no	—
418	#435	—	2	1	no	—
419	#435	—	2	1	no	—
420	#435	—	2	1	no	—
421	#435	—	2	1	no	—
422	#435	—	2	1	no	—
423	#435	—	2	1	no	—
424	#435	—	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	C₈×D₄	—	2	1	no	—
445	C₈×D₄	—	2	1	no	—
446	C₈×D₄	—	2	1	no	—
447	C₈×D₄	—	2	1	no	—
448	C₈×D₄	—	2	1	no	—
449	C₈×D₄	—	2	1	no	—
450	C₈×D₄	—	2	1	no	—
451	C₈×D₄	—	2	1	no	—
452	C₈×D₄	—	2	1	no	—
453	C₈×D₄	—	2	1	no	—
454	C₈×D₄	—	2	1	no	—
455	C₈×D₄	—	2	1	no	—
456	C₈×D₄	—	2	1	no	—
457	C₈×D₄	—	2	1	no	—
458	C₈×D₄	—	2	1	no	—
459	C₈×D₄	—	2	1	no	—
460	#433	—	2	1	no	—
461	#433	—	2	1	no	—
462	#433	—	2	1	no	—
463	#433	—	2	1	no	—
464	#433	—	2	1	no	—
465	#433	—	2	1	no	—
466	#433	—	2	1	no	—
467	#433	—	2	1	no	—
468	#432	—	2	1	no	—
469	#432	—	2	1	no	—
470	#432	—	2	1	no	—
471	#432	—	2	1	no	—
472	#431	—	2	1	no	—
473	#431	—	2	1	no	—
474	#431	—	2	1	no	—
475	#431	—	2	1	no	—
476	C₂×#108	C₂³	1	1	yes	characteristic
477	C₂×#108	C₂³	1	1	yes	characteristic
478	C₂×#108	C₂³	1	1	yes	characteristic
479	C₂×#108	C₂³	1	1	yes	characteristic
480	C₂×#108	C₂³	1	1	yes	characteristic
481	C₂×#108	C₂³	1	1	yes	characteristic
482	C₂×#108	C₂³	1	1	yes	characteristic
483	C₂×#108	C₂³	1	1	yes	characteristic
484	#427	C₂³	1	1	yes	characteristic
485	#427	C₂³	1	1	yes	characteristic
486	#427	C₂³	1	1	yes	characteristic
487	#427	C₂³	1	1	yes	characteristic
488	#424	C₂³	1	1	yes	characteristic
489	#424	C₂³	1	1	yes	characteristic
490	#424	C₂³	1	1	yes	characteristic
491	#424	C₂³	1	1	yes	characteristic
492	#424	C₂³	1	1	yes	characteristic
493	#424	C₂³	1	1	yes	characteristic
494	#424	C₂³	1	1	yes	characteristic
495	#424	C₂³	1	1	yes	characteristic
496	#421	—	4	2	no	—
497	#421	—	4	2	no	—
498	C₂×#104	—	4	2	no	—
499	C₂×#104	—	4	2	no	—
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	C₂×#104	C₂³	1	1	yes	characteristic
513	C₂×#104	C₂³	1	1	yes	characteristic
514	C₂×#104	C₂³	1	1	yes	characteristic
515	C₂×#104	C₂³	1	1	yes	characteristic
516	#416	C₂³	1	1	yes	characteristic
517	#416	C₂³	1	1	yes	characteristic
518	#416	C₂³	1	1	yes	characteristic
519	#416	C₂³	1	1	yes	characteristic
520	#416	C₂³	1	1	yes	characteristic
521	#416	C₂³	1	1	yes	characteristic
522	#416	C₂³	1	1	yes	characteristic
523	#416	C₂³	1	1	yes	characteristic
524	#408	—	2	1	no	—
525	#408	—	2	1	no	—
526	#408	—	2	1	no	—
527	#408	—	2	1	no	—
528	#408	—	2	1	no	—
529	#408	—	2	1	no	—
530	#408	—	2	1	no	—
531	#408	—	2	1	no	—
532	#408	—	2	1	no	—
533	#408	—	2	1	no	—
534	#408	—	2	1	no	—
535	#408	—	2	1	no	—
536	#408	—	2	1	no	—
537	#408	—	2	1	no	—
538	#408	—	2	1	no	—
539	#408	—	2	1	no	—
540	#408	C₂×C₄	1	1	yes	characteristic
541	#408	C₂×C₄	1	1	yes	characteristic
542	#408	C₂×C₄	1	1	yes	characteristic
543	#408	C₂×C₄	1	1	yes	characteristic
544	#408	C₂×C₄	1	1	yes	characteristic
545	#408	C₂×C₄	1	1	yes	characteristic
546	#408	C₂×C₄	1	1	yes	characteristic
547	#408	C₂×C₄	1	1	yes	characteristic
548	#408	D₄	1	1	yes	characteristic
549	#408	D₄	1	1	yes	characteristic
550	#408	D₄	1	1	yes	characteristic
551	#408	D₄	1	1	yes	characteristic
552	#408	D₄	1	1	yes	characteristic
553	#408	D₄	1	1	yes	characteristic
554	#408	D₄	1	1	yes	characteristic
555	#408	D₄	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	#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	#407	—	2	1	no	—
565	#407	—	2	1	no	—
566	#407	—	2	1	no	—
567	#407	—	2	1	no	—
568	#407	C₂³	1	1	yes	characteristic
569	#407	C₂³	1	1	yes	characteristic
570	#407	C₂³	1	1	yes	characteristic
571	#407	C₂³	1	1	yes	characteristic
572	#407	C₂³	1	1	yes	characteristic
573	#407	C₂³	1	1	yes	characteristic
574	#407	C₂³	1	1	yes	characteristic
575	#407	C₂³	1	1	yes	characteristic
576	C₂×C₂²⋊C₈	—	2	1	no	—
577	C₂×C₂²⋊C₈	—	2	1	no	—
578	C₂×C₂²⋊C₈	—	2	1	no	—
579	C₂×C₂²⋊C₈	—	2	1	no	—
580	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
581	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
582	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
583	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
584	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
585	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
586	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
587	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
588	#405	—	4	2	no	—
589	#405	—	4	2	no	—
590	#405	C₂³	1	1	yes	characteristic
591	#405	C₂³	1	1	yes	characteristic
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	#405	C₂³	1	1	yes	characteristic
597	#405	C₂³	1	1	yes	characteristic
598	C₂×#97	C₂³	1	1	yes	characteristic
599	C₂×#97	C₂³	1	1	yes	characteristic
600	C₂×#97	C₂³	1	1	yes	characteristic
601	C₂×#97	C₂³	1	1	yes	characteristic
602	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
603	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
604	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
605	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
606	#341	C₂³	1	1	yes	characteristic
607	#341	C₂³	1	1	yes	characteristic
608	#341	C₂³	1	1	yes	characteristic
609	#341	C₂³	1	1	yes	characteristic
610	#341	C₂³	1	1	yes	characteristic
611	#341	C₂³	1	1	yes	characteristic
612	#341	C₂³	1	1	yes	characteristic
613	#341	C₂³	1	1	yes	characteristic
614	#339	C₂³	1	1	yes	characteristic
615	#339	C₂³	1	1	yes	characteristic
616	#339	C₂³	1	1	yes	characteristic
617	#339	C₂³	1	1	yes	characteristic
618	#339	C₂³	1	1	yes	characteristic
619	#339	C₂³	1	1	yes	characteristic
620	#339	C₂³	1	1	yes	characteristic
621	#339	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	—	4	1	no	—
643	C₂×#41	—	4	1	no	—
644	C₂×#41	—	4	1	no	—
645	C₂×#41	—	4	1	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	C₂²×C₄	1	1	yes	characteristic
655	C₂×#41	C₂²×C₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
663	C₂×#41	C₂×D₄	1	1	yes	characteristic
664	C₂×#41	C₂×D₄	1	1	yes	characteristic
665	C₂×#41	C₂×D₄	1	1	yes	characteristic
666	C₂×#41	C₂⁴	1	1	yes	characteristic
667	C₂×#41	C₂⁴	1	1	yes	characteristic
668	C₂×#41	C₂⁴	1	1	yes	characteristic
669	C₂×#41	C₂⁴	1	1	yes	characteristic
670	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
671	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
672	C₂²×Q₈	#41	1	1	yes	characteristic
673	C₂²×D₄	—	2	1	no	—
674	C₂²×D₄	—	2	1	no	—
675	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
676	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
677	C₂²×D₄	#41	1	1	yes	characteristic
678	C₂²×D₄	#41	1	1	yes	characteristic
679	C₂²×D₄	#41	1	1	yes	characteristic
680	C₂³×C₄	—	2	1	no	—
681	C₂³×C₄	—	2	1	no	—
682	C₂³×C₄	—	2	1	no	—
683	C₂³×C₄	—	2	1	no	—
684	C₂³×C₄	—	2	1	no	—
685	C₂³×C₄	C₂⁴	1	1	yes	characteristic
686	C₂³×C₄	C₂⁴	1	1	yes	characteristic
687	C₂³×C₄	C₂⁴	1	1	yes	characteristic
688	#135	—	4	1	no	—
689	#135	—	4	1	no	—
690	#135	—	4	1	no	—
691	#135	—	4	1	no	—
692	#135	—	4	1	no	—
693	#135	—	4	1	no	—
694	#135	—	4	1	no	—
695	#135	—	4	1	no	—
696	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
697	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
698	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
699	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
700	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
701	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
702	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
703	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
704	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
705	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
706	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
707	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
708	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
709	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
710	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
711	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
712	#131	—	4	1	no	—
713	#131	—	4	1	no	—
714	#131	—	4	1	no	—
715	#131	—	4	1	no	—
716	#131	—	4	1	no	—
717	#131	—	4	1	no	—
718	#131	—	4	1	no	—
719	#131	—	4	1	no	—
720	#131	—	4	1	no	—
721	#131	—	4	1	no	—
722	#131	—	4	1	no	—
723	#131	—	4	1	no	—
724	#131	—	4	1	no	—
725	#131	—	4	1	no	—
726	#131	—	4	1	no	—
727	#131	—	4	1	no	—
728	C₂×M₁₆	—	2	1	no	—
729	C₂×M₁₆	—	2	1	no	—
730	C₂×M₁₆	—	2	1	no	—
731	C₂×M₁₆	—	2	1	no	—
732	C₂×M₁₆	—	2	1	no	—
733	C₂×M₁₆	—	2	1	no	—
734	C₂×M₁₆	—	2	1	no	—
735	C₂×M₁₆	—	2	1	no	—
736	C₂×M₁₆	—	2	1	no	—
737	C₂×M₁₆	—	2	1	no	—
738	C₂×M₁₆	—	2	1	no	—
739	C₂×M₁₆	—	2	1	no	—
740	C₂×M₁₆	—	4	1	no	—
741	C₂×M₁₆	—	4	1	no	—
742	C₂×M₁₆	—	4	1	no	—
743	C₂×M₁₆	—	4	1	no	—
744	C₂×M₁₆	—	4	1	no	—
745	C₂×M₁₆	—	4	1	no	—
746	C₂×M₁₆	—	4	1	no	—
747	C₂×M₁₆	—	4	1	no	—
748	C₂×M₁₆	—	4	1	no	—
749	C₂×M₁₆	—	4	1	no	—
750	C₂×M₁₆	—	4	1	no	—
751	C₂×M₁₆	—	4	1	no	—
752	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
753	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
754	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
755	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
756	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
757	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
758	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
759	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
760	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
761	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
762	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
763	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
764	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
765	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
766	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
767	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
768	C₂²×C₈	—	2	1	no	—
769	C₂²×C₈	—	2	1	no	—
770	C₂²×C₈	—	2	1	no	—
771	C₂²×C₈	—	2	1	no	—
772	C₂²×C₈	—	2	1	no	—
773	C₂²×C₈	—	2	1	no	—
774	C₂²×C₈	—	2	1	no	—
775	C₂²×C₈	—	2	1	no	—
776	C₂²×C₈	—	2	1	no	—
777	C₂²×C₈	—	2	1	no	—
778	C₂²×C₈	—	2	1	no	—
779	C₂²×C₈	—	2	1	no	—
780	C₂²×C₈	—	4	1	no	—
781	C₂²×C₈	—	4	1	no	—
782	C₂²×C₈	—	4	1	no	—
783	C₂²×C₈	—	4	1	no	—
784	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
785	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
786	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
787	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
788	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
789	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
790	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
791	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
792	C₂²×C₈	C₂⁴	1	1	yes	characteristic
793	C₂²×C₈	C₂⁴	1	1	yes	characteristic
794	C₂²×C₈	C₂⁴	1	1	yes	characteristic
795	C₂²×C₈	C₂⁴	1	1	yes	characteristic
796	C₂²×C₈	C₂⁴	1	1	yes	characteristic
797	C₂²×C₈	C₂⁴	1	1	yes	characteristic
798	C₂²×C₈	C₂⁴	1	1	yes	characteristic
799	C₂²×C₈	C₂⁴	1	1	yes	characteristic
800	C₄⋊Q₈	—	2	1	no	—
801	C₄⋊Q₈	—	2	1	no	—
802	C₄⋊Q₈	—	2	1	no	—
803	C₄⋊Q₈	—	2	1	no	—
804	#127	—	2	1	no	—
805	#127	—	2	1	no	—
806	#127	—	2	1	no	—
807	#127	—	2	1	no	—
808	#124	—	2	1	no	—
809	#124	—	2	1	no	—
810	#124	—	2	1	no	—
811	#124	—	2	1	no	—
812	#124	—	2	1	no	—
813	#124	—	2	1	no	—
814	#124	—	2	1	no	—
815	#124	—	2	1	no	—
816	#123	—	2	1	no	—
817	#123	—	2	1	no	—
818	#123	—	2	1	no	—
819	#123	—	2	1	no	—
820	#123	—	2	1	no	—
821	#123	—	2	1	no	—
822	#123	—	2	1	no	—
823	#123	—	2	1	no	—
824	#123	—	2	1	no	—
825	#123	—	2	1	no	—
826	#123	—	2	1	no	—
827	#123	—	2	1	no	—
828	#123	—	2	1	no	—
829	#123	—	2	1	no	—
830	#123	—	2	1	no	—
831	#123	—	2	1	no	—
832	C₂²⋊Q₈	—	2	1	no	—
833	C₂²⋊Q₈	—	2	1	no	—
834	C₂²⋊Q₈	—	2	1	no	—
835	C₂²⋊Q₈	—	2	1	no	—
836	C₂²⋊Q₈	—	2	1	no	—
837	C₂²⋊Q₈	—	2	1	no	—
838	C₂²⋊Q₈	—	2	1	no	—
839	C₂²⋊Q₈	—	2	1	no	—
840	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
841	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
842	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
843	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
844	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
845	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
846	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
847	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
848	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
849	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
850	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
851	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
852	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
853	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
854	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
855	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
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	#121	—	2	1	no	—
870	#121	—	2	1	no	—
871	#121	—	2	1	no	—
872	#121	—	2	1	no	—
873	#121	—	2	1	no	—
874	#121	—	2	1	no	—
875	#121	—	2	1	no	—
876	#121	—	2	1	no	—
877	#121	—	2	1	no	—
878	#121	—	2	1	no	—
879	#121	—	2	1	no	—
880	#121	C₂²×C₄	1	1	yes	characteristic
881	#121	C₂²×C₄	1	1	yes	characteristic
882	#121	C₂²×C₄	1	1	yes	characteristic
883	#121	C₂²×C₄	1	1	yes	characteristic
884	#121	C₂²×C₄	1	1	yes	characteristic
885	#121	C₂²×C₄	1	1	yes	characteristic
886	#121	C₂²×C₄	1	1	yes	characteristic
887	#121	C₂²×C₄	1	1	yes	characteristic
888	#121	C₂²×C₄	1	1	yes	characteristic
889	#121	C₂²×C₄	1	1	yes	characteristic
890	#121	C₂²×C₄	1	1	yes	characteristic
891	#121	C₂²×C₄	1	1	yes	characteristic
892	#121	C₂²×C₄	1	1	yes	characteristic
893	#121	C₂²×C₄	1	1	yes	characteristic
894	#121	C₂²×C₄	1	1	yes	characteristic
895	#121	C₂²×C₄	1	1	yes	characteristic
896	#120	—	2	1	no	—
897	#120	—	2	1	no	—
898	#120	—	2	1	no	—
899	#120	—	2	1	no	—
900	#120	—	2	1	no	—
901	#120	—	2	1	no	—
902	#120	—	2	1	no	—
903	#120	—	2	1	no	—
904	#120	—	2	1	no	—
905	#120	—	2	1	no	—
906	#120	—	2	1	no	—
907	#120	—	2	1	no	—
908	#120	—	2	1	no	—
909	#120	—	2	1	no	—
910	#120	—	2	1	no	—
911	#120	—	2	1	no	—
912	C₄×Q₈	—	4	4	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	—	2	1	no	—
918	C₄×D₄	—	2	1	no	—
919	C₄×D₄	—	2	1	no	—
920	C₄×D₄	—	2	1	no	—
921	C₄×D₄	—	2	1	no	—
922	C₄×D₄	—	2	1	no	—
923	C₄×D₄	—	2	1	no	—
924	C₄×D₄	—	2	1	no	—
925	C₄×D₄	—	2	1	no	—
926	C₄×D₄	—	2	1	no	—
927	C₄×D₄	—	2	1	no	—
928	C₄×D₄	—	2	1	no	—
929	C₄×D₄	—	4	4	no	—
930	C₄×D₄	—	4	4	no	—
931	C₄×D₄	—	4	4	no	—
932	#117	—	2	1	no	—
933	#117	—	2	1	no	—
934	#117	—	2	1	no	—
935	#117	—	2	1	no	—
936	#117	—	2	2	no	—
937	#117	—	2	2	no	—
938	#117	—	2	2	no	—
939	#117	—	2	2	no	—
940	#117	—	4	1	no	—
941	#117	—	4	1	no	—
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	C₂²×C₄	1	1	yes	characteristic
946	#117	C₂⁴	1	1	yes	characteristic
947	#117	C₂⁴	1	1	yes	characteristic
948	#117	C₂⁴	1	1	yes	characteristic
949	#117	C₂⁴	1	1	yes	characteristic
950	C₂×C₄⋊C₄	—	2	1	no	—
951	C₂×C₄⋊C₄	—	2	1	no	—
952	C₂×C₄⋊C₄	—	2	1	no	—
953	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
954	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
955	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
956	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
957	C₂×C₂²⋊C₄	—	2	1	no	—
958	C₂×C₂²⋊C₄	—	2	1	no	—
959	C₂×C₂²⋊C₄	—	2	1	no	—
960	C₂×C₂²⋊C₄	—	2	1	no	—
961	C₂×C₂²⋊C₄	—	2	1	no	—
962	C₂×C₄²	—	2	1	no	—
963	C₂×C₄²	—	2	1	no	—
964	C₂×C₄²	—	2	2	no	—
965	C₂×C₄²	—	2	2	no	—
966	C₂×C₄²	—	2	1	no	—
967	C₂×C₄²	—	2	1	no	—
968	C₂×C₄²	—	2	1	no	—
969	C₂×C₄²	—	4	1	no	—
970	C₂×C₄²	—	4	1	no	—
971	C₂×C₄²	—	4	1	no	—
972	C₂×C₄²	—	4	1	no	—
973	C₂×C₄²	C₂⁴	1	1	yes	characteristic
974	C₂×C₄²	C₂⁴	1	1	yes	characteristic
975	C₂×C₄²	C₂⁴	1	1	yes	characteristic
976	C₂×C₄²	C₂⁴	1	1	yes	characteristic
977	#108	—	4	1	no	—
978	#108	—	4	1	no	—
979	#108	—	4	1	no	—
980	#108	—	4	1	no	—
981	#108	—	4	1	no	—
982	#108	—	4	1	no	—
983	#108	—	4	1	no	—
984	#108	—	4	1	no	—
985	#107	C₂²×C₄	1	1	yes	characteristic
986	#107	C₂²×C₄	1	1	yes	characteristic
987	#107	C₂²×C₄	1	1	yes	characteristic
988	#107	C₂²×C₄	1	1	yes	characteristic
989	#107	C₂²×C₄	1	1	yes	characteristic
990	#107	C₂²×C₄	1	1	yes	characteristic
991	#107	C₂²×C₄	1	1	yes	characteristic
992	#107	C₂²×C₄	1	1	yes	characteristic
993	#106	C₂²×C₄	1	1	yes	characteristic
994	#106	C₂²×C₄	1	1	yes	characteristic
995	#106	C₂²×C₄	1	1	yes	characteristic
996	#106	C₂²×C₄	1	1	yes	characteristic
997	#106	C₂²×C₄	1	1	yes	characteristic
998	#106	C₂²×C₄	1	1	yes	characteristic
999	#106	C₂²×C₄	1	1	yes	characteristic
1000	#106	C₂²×C₄	1	1	yes	characteristic
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	—	2	1	no	—
1008	C₄⋊C₈	—	2	1	no	—
1009	C₄⋊C₈	—	2	1	no	—
1010	C₄⋊C₈	—	2	1	no	—
1011	C₄⋊C₈	—	2	1	no	—
1012	C₄⋊C₈	—	2	1	no	—
1013	C₄⋊C₈	—	2	1	no	—
1014	C₄⋊C₈	—	2	1	no	—
1015	C₄⋊C₈	—	2	1	no	—
1016	C₄⋊C₈	—	2	1	no	—
1017	#104	—	2	2	no	—
1018	#104	—	2	2	no	—
1019	#104	—	2	2	no	—
1020	#104	—	2	2	no	—
1021	#104	—	2	2	no	—
1022	#104	—	2	2	no	—
1023	#104	—	2	2	no	—
1024	#104	—	2	2	no	—
1025	#104	—	4	1	no	—
1026	#104	—	4	1	no	—
1027	#104	—	4	1	no	—
1028	#104	—	4	1	no	—
1029	#104	—	4	1	no	—
1030	#104	—	4	1	no	—
1031	#104	—	4	1	no	—
1032	#104	—	4	1	no	—
1033	#103	C₂²×C₄	1	1	yes	characteristic
1034	#103	C₂²×C₄	1	1	yes	characteristic
1035	#103	C₂²×C₄	1	1	yes	characteristic
1036	#103	C₂²×C₄	1	1	yes	characteristic
1037	#103	C₂²×C₄	1	1	yes	characteristic
1038	#103	C₂²×C₄	1	1	yes	characteristic
1039	#103	C₂²×C₄	1	1	yes	characteristic
1040	#103	C₂²×C₄	1	1	yes	characteristic
1041	#103	C₂²×C₄	1	1	yes	characteristic
1042	#103	C₂²×C₄	1	1	yes	characteristic
1043	#103	C₂²×C₄	1	1	yes	characteristic
1044	#103	C₂²×C₄	1	1	yes	characteristic
1045	#103	C₂²×C₄	1	1	yes	characteristic
1046	#103	C₂²×C₄	1	1	yes	characteristic
1047	#103	C₂²×C₄	1	1	yes	characteristic
1048	#103	C₂²×C₄	1	1	yes	characteristic
1049	#102	C₂²×C₄	1	1	yes	characteristic
1050	#102	C₂²×C₄	1	1	yes	characteristic
1051	#102	C₂²×C₄	1	1	yes	characteristic
1052	#102	C₂²×C₄	1	1	yes	characteristic
1053	#102	C₂²×C₄	1	1	yes	characteristic
1054	#102	C₂²×C₄	1	1	yes	characteristic
1055	#102	C₂²×C₄	1	1	yes	characteristic
1056	#102	C₂²×C₄	1	1	yes	characteristic
1057	#102	C₂²×C₄	1	1	yes	characteristic
1058	#102	C₂²×C₄	1	1	yes	characteristic
1059	#102	C₂²×C₄	1	1	yes	characteristic
1060	#102	C₂²×C₄	1	1	yes	characteristic
1061	#102	C₂²×C₄	1	1	yes	characteristic
1062	#102	C₂²×C₄	1	1	yes	characteristic
1063	#102	C₂²×C₄	1	1	yes	characteristic
1064	#102	C₂²×C₄	1	1	yes	characteristic
1065	C₂²⋊C₈	—	2	1	no	—
1066	C₂²⋊C₈	—	2	1	no	—
1067	C₂²⋊C₈	—	2	1	no	—
1068	C₂²⋊C₈	—	2	1	no	—
1069	C₂²⋊C₈	—	2	1	no	—
1070	C₂²⋊C₈	—	2	1	no	—
1071	C₂²⋊C₈	—	2	1	no	—
1072	C₂²⋊C₈	—	2	1	no	—
1073	C₂²⋊C₈	—	2	1	no	—
1074	C₂²⋊C₈	—	2	1	no	—
1075	C₂²⋊C₈	—	2	1	no	—
1076	C₂²⋊C₈	—	2	1	no	—
1077	C₂²⋊C₈	—	2	1	no	—
1078	C₂²⋊C₈	—	2	1	no	—
1079	C₂²⋊C₈	—	2	1	no	—
1080	C₂²⋊C₈	—	2	1	no	—
1081	C₂²⋊C₈	—	2	1	no	—
1082	C₂²⋊C₈	—	2	1	no	—
1083	C₂²⋊C₈	—	2	1	no	—
1084	C₂²⋊C₈	—	2	1	no	—
1085	C₂²⋊C₈	—	2	1	no	—
1086	C₂²⋊C₈	—	2	1	no	—
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	C₂²×C₄	1	1	yes	characteristic
1098	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1099	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1100	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1101	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1102	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1103	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1104	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1105	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1106	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1107	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1108	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1109	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1110	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1111	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1112	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1113	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1114	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1115	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1116	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1117	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1118	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
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	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1128	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
1136	#97	—	2	1	no	—
1137	#97	—	2	2	no	—
1138	#97	—	2	2	no	—
1139	#97	—	4	1	no	—
1140	#97	—	4	1	no	—
1141	C₄×C₈	—	2	1	no	—
1142	C₄×C₈	—	2	1	no	—
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	2	no	—
1150	C₄×C₈	—	2	2	no	—
1151	C₄×C₈	—	4	1	no	—
1152	C₄×C₈	—	4	1	no	—
1153	C₂⁴	—	2	1	no	—
1154	C₂⁴	—	2	1	no	—
1155	C₂⁴	C₂×#41	1	1	yes	characteristic
1156	C₂⁴	C₂×#41	1	1	yes	characteristic
1157	C₂⁴	C₂×#41	1	1	yes	characteristic
1158	#41	—	2	1	no	—
1159	#41	—	2	1	no	—
1160	#41	—	2	1	no	—
1161	#41	—	2	1	no	—
1162	#41	—	2	1	no	—
1163	#41	—	2	1	no	—
1164	#41	—	2	1	no	—
1165	#41	—	2	1	no	—
1166	#41	—	2	1	no	—
1167	#41	—	2	1	no	—
1168	#41	—	2	1	no	—
1169	#41	—	2	1	no	—
1170	#41	—	2	1	no	—
1171	#41	—	2	1	no	—
1172	#41	—	2	1	no	—
1173	#41	—	2	1	no	—
1174	#41	—	4	1	no	—
1175	#41	—	4	1	no	—
1176	#41	—	4	1	no	—
1177	#41	—	4	1	no	—
1178	#41	—	4	1	no	—
1179	#41	—	4	1	no	—
1180	#41	—	4	1	no	—
1181	#41	—	4	1	no	—
1182	#41	—	4	1	no	—
1183	#41	—	4	1	no	—
1184	#41	—	4	1	no	—
1185	#41	—	4	1	no	—
1186	#41	—	4	1	no	—
1187	#41	—	4	1	no	—
1188	#41	—	4	1	no	—
1189	#41	—	4	1	no	—
1190	#41	—	4	1	no	—
1191	#41	—	4	1	no	—
1192	#41	—	4	1	no	—
1193	#41	—	4	1	no	—
1194	#41	—	4	1	no	—
1195	#41	—	4	1	no	—
1196	#41	—	4	1	no	—
1197	#41	—	4	1	no	—
1198	#41	—	8	1	no	—
1199	#41	—	8	1	no	—
1200	#41	—	8	1	no	—
1201	#41	—	8	1	no	—
1202	#41	—	8	1	no	—
1203	#41	—	8	1	no	—
1204	#41	—	8	1	no	—
1205	#41	—	8	1	no	—
1206	C₂×Q₈	—	2	1	no	—
1207	C₂×Q₈	—	2	1	no	—
1208	C₂×Q₈	—	4	1	no	—
1209	C₂×Q₈	—	4	1	no	—
1210	C₂×Q₈	—	4	1	no	—
1211	C₂×Q₈	—	4	1	no	—
1212	C₂×Q₈	—	4	1	no	—
1213	C₂×Q₈	—	4	1	no	—
1214	C₂×Q₈	C₄×D₄	1	1	yes	characteristic
1215	C₂×Q₈	C₄×D₄	1	1	yes	characteristic
1216	C₂×Q₈	C₄×D₄	1	1	yes	characteristic
1217	C₂×Q₈	C₄×D₄	1	1	yes	characteristic
1218	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1219	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1220	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1221	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1222	C₂×D₄	—	2	1	no	—
1223	C₂×D₄	—	2	1	no	—
1224	C₂×D₄	—	2	1	no	—
1225	C₂×D₄	—	2	1	no	—
1226	C₂×D₄	—	2	1	no	—
1227	C₂×D₄	—	2	1	no	—
1228	C₂×D₄	—	2	1	no	—
1229	C₂×D₄	—	2	1	no	—
1230	C₂×D₄	—	2	1	no	—
1231	C₂×D₄	—	2	1	no	—
1232	C₂×D₄	—	2	1	no	—
1233	C₂×D₄	—	2	1	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	—	4	1	no	—
1249	C₂×D₄	—	4	1	no	—
1250	C₂×D₄	—	4	1	no	—
1251	C₂×D₄	—	4	1	no	—
1252	C₂×D₄	—	4	1	no	—
1253	C₂×D₄	—	4	1	no	—
1254	C₂×D₄	—	4	1	no	—
1255	C₂×D₄	—	4	1	no	—
1256	C₂×D₄	—	4	1	no	—
1257	C₂×D₄	—	4	1	no	—
1258	C₂×D₄	—	8	1	no	—
1259	C₂×D₄	—	8	1	no	—
1260	C₂×D₄	—	8	1	no	—
1261	C₂×D₄	—	8	1	no	—
1262	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1263	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1264	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1265	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1266	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1267	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1268	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1269	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1270	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1271	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1272	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1273	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1274	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1275	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1276	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1277	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
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	—	2	1	no	—
1307	C₂²×C₄	—	2	1	no	—
1308	C₂²×C₄	—	4	2	no	—
1309	C₂²×C₄	—	4	2	no	—
1310	C₂²×C₄	—	4	2	no	—
1311	C₂²×C₄	—	4	2	no	—
1312	C₂²×C₄	—	4	2	no	—
1313	C₂²×C₄	—	4	2	no	—
1314	C₂²×C₄	—	8	1	no	—
1315	C₂²×C₄	—	8	1	no	—
1316	C₂²×C₄	—	8	1	no	—
1317	C₂²×C₄	—	8	1	no	—
1318	C₂²×C₄	—	8	1	no	—
1319	C₂²×C₄	—	8	1	no	—
1320	C₂²×C₄	—	8	1	no	—
1321	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1322	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1323	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1324	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1325	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1326	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1327	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1328	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1329	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1330	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1331	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1332	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1333	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1334	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1335	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1336	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1337	Q₁₆	—	4	1	no	—
1338	Q₁₆	—	4	1	no	—
1339	Q₁₆	—	4	1	no	—
1340	Q₁₆	—	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	SD₁₆	—	4	1	no	—
1347	SD₁₆	—	4	1	no	—
1348	SD₁₆	—	4	1	no	—
1349	D₈	—	4	1	no	—
1350	D₈	—	4	1	no	—
1351	D₈	—	4	1	no	—
1352	D₈	—	4	1	no	—
1353	M₁₆	—	2	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	—	4	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	1	no	—
1375	M₁₆	—	4	1	no	—
1376	M₁₆	—	4	1	no	—
1377	M₁₆	—	8	1	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	M₁₆	—	8	1	no	—
1387	M₁₆	—	8	1	no	—
1388	M₁₆	—	8	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	—	2	1	no	—
1411	C₂×C₈	—	2	1	no	—
1412	C₂×C₈	—	2	1	no	—
1413	C₂×C₈	—	4	1	no	—
1414	C₂×C₈	—	4	1	no	—
1415	C₂×C₈	—	4	1	no	—
1416	C₂×C₈	—	4	1	no	—
1417	C₂×C₈	—	4	1	no	—
1418	C₂×C₈	—	4	1	no	—
1419	C₂×C₈	—	4	1	no	—
1420	C₂×C₈	—	4	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	—	8	1	no	—
1427	C₂×C₈	—	8	1	no	—
1428	C₂×C₈	—	8	1	no	—
1429	C₂×C₈	—	8	1	no	—
1430	C₂×C₈	—	8	1	no	—
1431	C₂×C₈	—	8	1	no	—
1432	C₂×C₈	—	8	1	no	—
1433	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1434	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1435	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1436	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1437	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1438	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1439	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1440	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1441	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1442	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1443	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1444	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1445	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1446	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1447	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1448	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1449	C₄⋊C₄	—	2	4	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	—	2	1	no	—
1461	C₄⋊C₄	—	2	1	no	—
1462	C₄⋊C₄	—	2	1	no	—
1463	C₄⋊C₄	—	2	1	no	—
1464	C₄⋊C₄	—	2	1	no	—
1465	C₄⋊C₄	—	2	1	no	—
1466	C₄⋊C₄	—	2	1	no	—
1467	C₄⋊C₄	—	2	1	no	—
1468	C₄⋊C₄	—	2	1	no	—
1469	C₄⋊C₄	—	2	1	no	—
1470	C₄⋊C₄	—	4	2	no	—
1471	C₄⋊C₄	—	4	2	no	—
1472	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1473	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1474	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1475	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1476	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1477	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1478	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1479	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1480	C₂²⋊C₄	—	2	4	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	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	2	1	no	—
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	4	2	no	—
1522	C₂²⋊C₄	—	4	2	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	—	2	1	no	—
1533	C₄²	—	2	1	no	—
1534	C₄²	—	2	1	no	—
1535	C₄²	—	2	1	no	—
1536	C₄²	—	2	1	no	—
1537	C₄²	—	4	2	no	—
1538	C₄²	—	4	2	no	—
1539	C₄²	—	4	2	no	—
1540	C₄²	H(5,𝔽₂)	1	2	yes	—
1541	C₄²	H(5,𝔽₂)	1	2	yes	—
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	—	2	1	no	—
1551	C₂³	—	2	1	no	—
1552	C₂³	—	4	1	no	—
1553	C₂³	—	4	1	no	—
1554	C₂³	—	4	1	no	—
1555	C₂³	—	4	1	no	—
1556	C₂³	—	4	1	no	—
1557	C₂³	—	4	1	no	—
1558	C₂³	—	8	1	no	—
1559	C₂³	—	8	1	no	—
1560	C₂³	—	8	1	no	—
1561	C₂³	—	8	1	no	—
1562	C₂³	—	8	1	no	—
1563	C₂³	—	8	1	no	—
1564	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1565	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1566	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1567	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1568	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1569	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1570	C₂³	C₂²×#41	1	1	yes	characteristic
1571	Q₈	—	2	1	no	—
1572	Q₈	—	2	1	no	—
1573	Q₈	—	2	1	no	—
1574	Q₈	—	2	1	no	—
1575	Q₈	—	2	1	no	—
1576	Q₈	—	2	1	no	—
1577	Q₈	—	2	1	no	—
1578	Q₈	—	2	1	no	—
1579	Q₈	—	4	1	no	—
1580	Q₈	—	4	1	no	—
1581	Q₈	—	4	1	no	—
1582	Q₈	—	4	1	no	—
1583	Q₈	—	8	1	no	—
1584	Q₈	—	8	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	—	2	1	no	—
1593	D₄	—	4	1	no	—
1594	D₄	—	4	1	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	—	4	1	no	—
1606	D₄	—	4	1	no	—
1607	D₄	—	4	1	no	—
1608	D₄	—	4	1	no	—
1609	D₄	—	4	1	no	—
1610	D₄	—	4	1	no	—
1611	D₄	—	4	1	no	—
1612	D₄	—	4	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	—	8	1	no	—
1620	D₄	—	8	1	no	—
1621	D₄	—	8	1	no	—
1622	D₄	—	8	1	no	—
1623	D₄	—	8	1	no	—
1624	D₄	—	8	1	no	—
1625	D₄	—	8	1	no	—
1626	D₄	—	8	1	no	—
1627	D₄	—	8	1	no	—
1628	D₄	—	8	1	no	—
1629	D₄	—	8	1	no	—
1630	D₄	—	8	1	no	—
1631	D₄	—	8	1	no	—
1632	D₄	—	8	1	no	—
1633	D₄	—	8	1	no	—
1634	D₄	—	8	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	—	2	1	no	—
1644	C₂×C₄	—	2	1	no	—
1645	C₂×C₄	—	2	1	no	—
1646	C₂×C₄	—	2	1	no	—
1647	C₂×C₄	—	2	1	no	—
1648	C₂×C₄	—	2	1	no	—
1649	C₂×C₄	—	2	1	no	—
1650	C₂×C₄	—	2	1	no	—
1651	C₂×C₄	—	2	1	no	—
1652	C₂×C₄	—	2	1	no	—
1653	C₂×C₄	—	2	1	no	—
1654	C₂×C₄	—	2	1	no	—
1655	C₂×C₄	—	2	1	no	—
1656	C₂×C₄	—	2	1	no	—
1657	C₂×C₄	—	2	1	no	—
1658	C₂×C₄	—	2	1	no	—
1659	C₂×C₄	—	2	1	no	—
1660	C₂×C₄	—	2	1	no	—
1661	C₂×C₄	—	2	1	no	—
1662	C₂×C₄	—	2	1	no	—
1663	C₂×C₄	—	2	1	no	—
1664	C₂×C₄	—	2	1	no	—
1665	C₂×C₄	—	2	2	no	—
1666	C₂×C₄	—	2	1	no	—
1667	C₂×C₄	—	2	1	no	—
1668	C₂×C₄	—	2	1	no	—
1669	C₂×C₄	—	2	1	no	—
1670	C₂×C₄	—	2	1	no	—
1671	C₂×C₄	—	2	1	no	—
1672	C₂×C₄	—	2	1	no	—
1673	C₂×C₄	—	2	1	no	—
1674	C₂×C₄	—	2	1	no	—
1675	C₂×C₄	—	2	1	no	—
1676	C₂×C₄	—	2	1	no	—
1677	C₂×C₄	—	2	1	no	—
1678	C₂×C₄	—	2	2	no	—
1679	C₂×C₄	—	2	2	no	—
1680	C₂×C₄	—	4	1	no	—
1681	C₂×C₄	—	4	1	no	—
1682	C₂×C₄	—	4	1	no	—
1683	C₂×C₄	—	4	1	no	—
1684	C₂×C₄	—	4	1	no	—
1685	C₂×C₄	—	4	1	no	—
1686	C₂×C₄	—	4	1	no	—
1687	C₂×C₄	—	4	1	no	—
1688	C₂×C₄	—	4	1	no	—
1689	C₂×C₄	—	4	1	no	—
1690	C₂×C₄	—	4	1	no	—
1691	C₂×C₄	—	4	1	no	—
1692	C₂×C₄	—	4	1	no	—
1693	C₂×C₄	—	4	1	no	—
1694	C₂×C₄	—	4	1	no	—
1695	C₂×C₄	—	4	1	no	—
1696	C₂×C₄	—	4	1	no	—
1697	C₂×C₄	—	8	1	no	—
1698	C₂×C₄	—	8	1	no	—
1699	C₂×C₄	—	8	1	no	—
1700	C₂×C₄	—	8	1	no	—
1701	C₂×C₄	—	8	1	no	—
1702	C₂×C₄	—	8	1	no	—
1703	C₂×C₄	—	8	1	no	—
1704	C₂×C₄	—	8	1	no	—
1705	C₂×C₄	—	8	1	no	—
1706	C₂×C₄	—	8	1	no	—
1707	C₂×C₄	—	8	4	no	—
1708	C₂×C₄	—	8	4	no	—
1709	C₂×C₄	—	8	4	no	—
1710	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1711	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1712	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1713	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1714	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1715	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1716	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
1717	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1718	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1719	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1720	C₂×C₄	#585	1	1	yes	characteristic
1721	C₂×C₄	#585	1	1	yes	characteristic
1722	C₈	—	2	1	no	—
1723	C₈	—	2	1	no	—
1724	C₈	—	2	1	no	—
1725	C₈	—	2	1	no	—
1726	C₈	—	2	1	no	—
1727	C₈	—	2	1	no	—
1728	C₈	—	2	1	no	—
1729	C₈	—	2	1	no	—
1730	C₈	—	2	1	no	—
1731	C₈	—	2	1	no	—
1732	C₈	—	2	1	no	—
1733	C₈	—	2	1	no	—
1734	C₈	—	2	1	no	—
1735	C₈	—	2	1	no	—
1736	C₈	—	2	1	no	—
1737	C₈	—	2	1	no	—
1738	C₈	—	4	1	no	—
1739	C₈	—	4	1	no	—
1740	C₈	—	4	1	no	—
1741	C₈	—	4	1	no	—
1742	C₈	—	4	1	no	—
1743	C₈	—	4	1	no	—
1744	C₈	—	4	1	no	—
1745	C₈	—	4	1	no	—
1746	C₂²	—	2	1	no	—
1747	C₂²	—	2	1	no	—
1748	C₂²	—	2	1	no	—
1749	C₂²	—	2	1	no	—
1750	C₂²	—	2	1	no	—
1751	C₂²	—	2	1	no	—
1752	C₂²	—	2	1	no	—
1753	C₂²	—	2	1	no	—
1754	C₂²	—	2	1	no	—
1755	C₂²	—	2	1	no	—
1756	C₂²	—	2	1	no	—
1757	C₂²	—	2	1	no	—
1758	C₂²	—	2	1	no	—
1759	C₂²	—	2	1	no	—
1760	C₂²	—	2	1	no	—
1761	C₂²	—	2	1	no	—
1762	C₂²	—	2	1	no	—
1763	C₂²	—	2	1	no	—
1764	C₂²	—	2	1	no	—
1765	C₂²	—	2	1	no	—
1766	C₂²	—	4	2	no	—
1767	C₂²	—	4	2	no	—
1768	C₂²	—	4	1	no	—
1769	C₂²	—	4	1	no	—
1770	C₂²	—	4	1	no	—
1771	C₂²	—	4	1	no	—
1772	C₂²	—	4	1	no	—
1773	C₂²	—	4	1	no	—
1774	C₂²	—	4	1	no	—
1775	C₂²	—	4	1	no	—
1776	C₂²	—	4	1	no	—
1777	C₂²	—	4	1	no	—
1778	C₂²	—	4	1	no	—
1779	C₂²	—	4	1	no	—
1780	C₂²	—	8	1	no	—
1781	C₂²	—	8	1	no	—
1782	C₂²	—	8	1	no	—
1783	C₂²	—	8	1	no	—
1784	C₂²	—	16	2	no	—
1785	C₂²	—	16	2	no	—
1786	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1787	C₂²	#3490	1	1	yes	characteristic
1788	C₂²	#3491	1	1	yes	characteristic
1789	C₄	—	2	1	no	—
1790	C₄	—	2	1	no	—
1791	C₄	—	2	1	no	—
1792	C₄	—	2	1	no	—
1793	C₄	—	2	1	no	—
1794	C₄	—	2	1	no	—
1795	C₄	—	4	2	no	—
1796	C₄	—	4	2	no	—
1797	C₄	—	4	2	no	—
1798	C₄	—	4	1	no	—
1799	C₄	—	4	1	no	—
1800	C₄	—	4	1	no	—
1801	C₄	—	4	1	no	—
1802	C₄	—	4	1	no	—
1803	C₄	—	4	1	no	—
1804	C₄	—	4	1	no	—
1805	C₄	—	4	1	no	—
1806	C₄	—	4	1	no	—
1807	C₄	—	4	1	no	—
1808	C₄	—	4	1	no	—
1809	C₄	—	4	1	no	—
1810	C₄	—	8	1	no	—
1811	C₄	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1812	C₄	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1813	C₄	#3496	1	1	yes	characteristic
1814	C₄	#3496	1	1	yes	characteristic
1815	C₂	—	2	1	no	—
1816	C₂	—	2	1	no	—
1817	C₂	—	4	1	no	—
1818	C₂	—	4	1	no	—
1819	C₂	—	4	1	no	—
1820	C₂	—	4	1	no	—
1821	C₂	—	4	1	no	—
1822	C₂	—	4	1	no	—
1823	C₂	—	8	1	no	—
1824	C₂	—	8	1	no	—
1825	C₂	—	8	1	no	—
1826	C₂	—	8	1	no	—
1827	C₂	#34273	1	1	yes	characteristic
1828	C₂	#60183	1	1	yes	characteristic
1829	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	#60749	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄ ◁ C₂×#408 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #60235	C₂	semidirect
3. #60235	C₂	semidirect
4. #22951	C₂	semidirect
5. #22951	C₂	semidirect
6. #22950	C₂	semidirect
7. #22950	C₂	semidirect
8. #22949	C₂	semidirect
9. #22949	C₂	semidirect
10. #22948	C₂	semidirect
11. #22948	C₂	semidirect
12. #22889	C₂	semidirect
13. #22889	C₂	semidirect
14. #22888	C₂	semidirect
15. #22888	C₂	semidirect
16. #22887	C₂	semidirect
17. #22887	C₂	semidirect
18. #22886	C₂	semidirect
19. #22886	C₂	semidirect
20. #22207	C₂	semidirect
21. #22207	C₂	semidirect
22. #22204	C₂	semidirect
23. #22204	C₂	semidirect
24. #21950	C₂	semidirect
25. #21550	C₂	semidirect
26. #21548	C₂	semidirect
27. #21547	C₂	semidirect
28. #21545	C₂	semidirect
29. #20980	C₂	semidirect
30. #20980	C₂	semidirect
31. #20378	C₂	semidirect
35. #3204	C₄	semidirect
36. #3204	C₄	semidirect
37. #3203	C₄	semidirect
38. #3203	C₄	semidirect
39. #3202	C₄	semidirect
40. #3201	C₄	semidirect
41. #3201	C₄	semidirect
42. #3201	C₄	semidirect
43. #3201	C₄	semidirect
44. #3200	C₄	semidirect
45. #3200	C₄	semidirect
46. #3199	C₄	semidirect
47. #3198	C₄	semidirect
48. #3198	C₄	semidirect
49. #3198	C₄	semidirect
50. #3198	C₄	semidirect
91. #2930	C₂²	semidirect
92. #2930	C₂²	semidirect
93. #2930	C₂²	semidirect
94. #2930	C₂²	semidirect
95. #2929	C₂²	semidirect
96. #2929	C₂²	semidirect
97. #2929	C₂²	semidirect
98. #2929	C₂²	semidirect
99. #2924	C₂²	semidirect
100. #2924	C₂²	semidirect
101. #2924	C₂²	semidirect
102. #2924	C₂²	semidirect
103. C₂×#421	C₂²	semidirect
104. C₂×#421	C₂²	semidirect
105. C₂²×#104	C₂²	semidirect
106. C₂²×#104	C₂²	semidirect
107. #2880	C₂²	semidirect
108. #2880	C₂²	semidirect
109. #2880	C₂²	semidirect
110. #2880	C₂²	semidirect
115. C₂×#405	C₂²	semidirect
116. C₂×#405	C₂²	semidirect
121. #1946	C₂²	semidirect
122. #1946	C₂²	semidirect
123. #1945	C₂²	semidirect
124. #1945	C₂²	semidirect
125. #1938	C₂²	semidirect
126. #1938	C₂²	semidirect
127. #1938	C₂²	semidirect
128. #1938	C₂²	semidirect
129. #1937	C₂²	semidirect
130. #1937	C₂²	semidirect
131. #1937	C₂²	semidirect
132. #1937	C₂²	semidirect
133. #1929	C₂²	semidirect
134. #1929	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. #1922	C₂²	semidirect
146. #1922	C₂²	semidirect
147. #1922	C₂²	semidirect
148. #1922	C₂²	semidirect
153. #1897	C₂²	semidirect
154. #1897	C₂²	semidirect
155. #1897	C₂²	semidirect
156. #1897	C₂²	semidirect
161. #1896	C₂²	semidirect
162. #1896	C₂²	semidirect
163. #1896	C₂²	semidirect
164. #1896	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
179. #1866	C₂²	semidirect
180. #1866	C₂²	semidirect
181. #1855	C₂²	semidirect
182. #1855	C₂²	semidirect
183. #1855	C₂²	semidirect
184. #1855	C₂²	semidirect
185. #1855	C₂²	semidirect
186. #1855	C₂²	semidirect
187. #1855	C₂²	semidirect
188. #1855	C₂²	semidirect
189. #1811	C₂²	semidirect
190. #1811	C₂²	semidirect
191. #1810	C₂²	semidirect
192. #1810	C₂²	semidirect
193. #1773	C₂²	semidirect
194. #1773	C₂²	semidirect
195. #1772	C₂²	semidirect
196. #1772	C₂²	semidirect
197. #1765	C₂²	semidirect
198. #1765	C₂²	semidirect
199. #1765	C₂²	semidirect
200. #1765	C₂²	semidirect
201. #1764	C₂²	semidirect
202. #1764	C₂²	semidirect
203. #1764	C₂²	semidirect
204. #1764	C₂²	semidirect
205. #1750	C₂²	semidirect
206. #1750	C₂²	semidirect
207. #1750	C₂²	semidirect
208. #1750	C₂²	semidirect
209. #1749	C₂²	semidirect
210. #1749	C₂²	semidirect
211. C₄×C₂²⋊C₈	C₂²	semidirect
212. C₄×C₂²⋊C₈	C₂²	semidirect
213. #1733	C₂²	semidirect
214. #1733	C₂²	semidirect
215. C₂×#339	C₂²	semidirect
216. C₂×#339	C₂²	semidirect
217. #1728	C₂²	semidirect
218. C₂×#336	C₂²	semidirect
296. #485	C₂×C₄	semidirect
297. #485	C₂×C₄	semidirect
298. #485	C₂×C₄	semidirect
299. #485	C₂×C₄	semidirect
300. #485	C₂×C₄	semidirect
301. #485	C₂×C₄	semidirect
302. #485	C₂×C₄	semidirect
303. #485	C₂×C₄	semidirect
304. #484	C₂×C₄	semidirect
305. #484	C₂×C₄	semidirect
306. #484	C₂×C₄	semidirect
307. #484	C₂×C₄	semidirect
308. #483	C₂×C₄	semidirect
309. #483	C₂×C₄	semidirect
310. #483	C₂×C₄	semidirect
311. #483	C₂×C₄	semidirect
312. #482	C₂×C₄	semidirect
313. #482	C₂×C₄	semidirect
314. #482	C₂×C₄	semidirect
315. #482	C₂×C₄	semidirect
316. #482	C₂×C₄	semidirect
317. #482	C₂×C₄	semidirect
318. #482	C₂×C₄	semidirect
319. #482	C₂×C₄	semidirect
320. #481	C₂×C₄	semidirect
321. #481	C₂×C₄	semidirect
322. #481	C₂×C₄	semidirect
323. #481	C₂×C₄	semidirect
324. #480	C₂×C₄	semidirect
325. #480	C₂×C₄	semidirect
326. #480	C₂×C₄	semidirect
327. #480	C₂×C₄	semidirect
328. #470	C₂×C₄	semidirect
329. #470	C₂×C₄	semidirect
330. #470	C₂×C₄	semidirect
331. #470	C₂×C₄	semidirect
332. #469	C₂×C₄	semidirect
333. #469	C₂×C₄	semidirect
334. #469	C₂×C₄	semidirect
335. #469	C₂×C₄	semidirect
336. #468	C₂×C₄	semidirect
337. #468	C₂×C₄	semidirect
338. #468	C₂×C₄	semidirect
339. #468	C₂×C₄	semidirect
340. #468	C₂×C₄	semidirect
341. #468	C₂×C₄	semidirect
342. #468	C₂×C₄	semidirect
343. #468	C₂×C₄	semidirect
344. #467	C₂×C₄	semidirect
345. #467	C₂×C₄	semidirect
346. #467	C₂×C₄	semidirect
347. #467	C₂×C₄	semidirect
348. #466	C₂×C₄	semidirect
349. #466	C₂×C₄	semidirect
350. #466	C₂×C₄	semidirect
351. #466	C₂×C₄	semidirect
352. #465	C₂×C₄	semidirect
353. #465	C₂×C₄	semidirect
354. #465	C₂×C₄	semidirect
355. #465	C₂×C₄	semidirect
356. #465	C₂×C₄	semidirect
357. #465	C₂×C₄	semidirect
358. #465	C₂×C₄	semidirect
359. #465	C₂×C₄	semidirect
360. #452	C₂×C₄	semidirect
361. #452	C₂×C₄	semidirect
362. #452	C₂×C₄	semidirect
363. #452	C₂×C₄	semidirect
364. #452	C₂×C₄	semidirect
365. #452	C₂×C₄	semidirect
366. #452	C₂×C₄	semidirect
367. #452	C₂×C₄	semidirect
368. #451	C₂×C₄	semidirect
369. #451	C₂×C₄	semidirect
370. #451	C₂×C₄	semidirect
371. #451	C₂×C₄	semidirect
372. #450	C₂×C₄	semidirect
373. #450	C₂×C₄	semidirect
374. #450	C₂×C₄	semidirect
375. #450	C₂×C₄	semidirect
376. #449	C₂×C₄	semidirect
377. #449	C₂×C₄	semidirect
378. #449	C₂×C₄	semidirect
379. #449	C₂×C₄	semidirect
380. #449	C₂×C₄	semidirect
381. #449	C₂×C₄	semidirect
382. #449	C₂×C₄	semidirect
383. #449	C₂×C₄	semidirect
384. #448	C₂×C₄	semidirect
385. #448	C₂×C₄	semidirect
386. #448	C₂×C₄	semidirect
387. #448	C₂×C₄	semidirect
388. #447	C₂×C₄	semidirect
389. #447	C₂×C₄	semidirect
390. #447	C₂×C₄	semidirect
391. #447	C₂×C₄	semidirect

Maximal subgroups

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

subgroup	index
#60749	2
#60235	2
#22951	2
#22950	2
#22949	2
#22948	2
#22889	2
#22888	2
#22887	2
#22886	2
#22207	2
#22204	2
#21950	2
#21550	2
#21548	2
#21547	2
#21545	2
#20980	2
#20378	2