Subgroups — #6377661

Order 512.

2001 conjugacy classes of subgroups.

The subgroup lattice has 1849 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	#60142	C₂	1	1	yes	maximal, characteristic, complemented
3	#60140	C₂	1	1	yes	maximal, characteristic, complemented
4	#22205	C₂	1	1	yes	maximal, characteristic, complemented
5	#22205	C₂	1	1	yes	maximal, characteristic, complemented
6	#22204	C₂	1	1	yes	maximal, characteristic, complemented
7	#22204	C₂	1	1	yes	maximal, characteristic, complemented
8	#22097	C₂	1	1	yes	maximal, characteristic, complemented
9	#22097	C₂	1	1	yes	maximal, characteristic, complemented
10	#22096	C₂	1	1	yes	maximal, characteristic, complemented
11	#22095	C₂	1	1	yes	maximal, characteristic, complemented
12	#22062	C₂	1	1	yes	maximal, characteristic, complemented
13	#22062	C₂	1	1	yes	maximal, characteristic, complemented
14	#22061	C₂	1	1	yes	maximal, characteristic, complemented
15	#22060	C₂	1	1	yes	maximal, characteristic, complemented
16	#21950	C₂	1	1	yes	maximal, characteristic, complemented
17	#21775	C₂	1	1	yes	maximal, characteristic, complemented
18	#21775	C₂	1	1	yes	maximal, characteristic, complemented
19	#21594	C₂	1	1	yes	maximal, characteristic, complemented
20	#21594	C₂	1	1	yes	maximal, characteristic, complemented
21	#21593	C₂	1	1	yes	maximal, characteristic, complemented
22	#21592	C₂	1	1	yes	maximal, characteristic, complemented
23	#21551	C₂	1	1	yes	maximal, characteristic, complemented
24	#21549	C₂	1	1	yes	maximal, characteristic, complemented
25	#21547	C₂	1	1	yes	maximal, characteristic, complemented
26	#21545	C₂	1	1	yes	maximal, characteristic, complemented
27	#21468	C₂	1	1	yes	maximal, characteristic, complemented
28	#21468	C₂	1	1	yes	maximal, characteristic, complemented
29	#21467	C₂	1	1	yes	maximal, characteristic, complemented
30	#21466	C₂	1	1	yes	maximal, characteristic, complemented
31	#20387	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#568	C₂²	1	1	yes	characteristic, complemented
33	C₂²×#131	C₂²	1	1	yes	characteristic
34	C₂²×#131	C₂²	1	1	yes	characteristic, complemented
35	#3449	C₂²	1	1	yes	characteristic
36	#3449	C₂²	1	1	yes	characteristic
37	#3204	C₄	1	1	yes	characteristic, complemented
38	#3204	C₄	1	1	yes	characteristic, complemented
39	#3203	C₄	1	1	yes	characteristic, complemented
40	#3203	C₄	1	1	yes	characteristic, complemented
41	#3202	C₄	1	1	yes	characteristic, complemented
42	#3201	C₄	1	1	yes	characteristic, complemented
43	#3201	C₄	1	1	yes	characteristic, complemented
44	#3201	C₄	1	1	yes	characteristic, complemented
45	#3201	C₄	1	1	yes	characteristic, complemented
46	#3200	C₄	1	1	yes	characteristic, complemented
47	#3200	C₄	1	1	yes	characteristic, complemented
48	#3199	C₄	1	1	yes	characteristic, complemented
49	#3198	C₄	1	1	yes	characteristic, complemented
50	#3198	C₄	1	1	yes	characteristic, complemented
51	#3198	C₄	1	1	yes	characteristic, complemented
52	#3198	C₄	1	1	yes	characteristic, complemented
53	#3091	C₂²	1	1	yes	characteristic
54	#3091	C₂²	1	1	yes	characteristic
55	#3091	C₂²	1	1	yes	characteristic
56	#3091	C₂²	1	1	yes	characteristic
57	#3054	C₂²	1	1	yes	characteristic
58	#3054	C₂²	1	1	yes	characteristic
59	#3050	C₂²	1	1	yes	characteristic
60	#3050	C₂²	1	1	yes	characteristic
61	#3002	C₂²	1	1	yes	characteristic
62	#3002	C₂²	1	1	yes	characteristic
63	#3002	C₂²	1	1	yes	characteristic
64	#3002	C₂²	1	1	yes	characteristic
65	C₂×#444	C₂²	1	1	yes	characteristic
66	C₂×#444	C₂²	1	1	yes	characteristic
67	C₂×#443	C₂²	1	1	yes	characteristic
68	C₂×#443	C₂²	1	1	yes	characteristic
69	#2935	—	2	1	no	—
70	#2935	—	2	1	no	—
71	#2935	—	2	1	no	—
72	#2935	—	2	1	no	—
73	#2933	—	2	1	no	—
74	#2933	—	2	1	no	—
75	#2933	—	2	1	no	—
76	#2933	—	2	1	no	—
77	#2932	—	2	1	no	—
78	#2932	—	2	1	no	—
79	#2931	—	2	1	no	—
80	#2931	—	2	1	no	—
81	#2930	—	2	1	no	—
82	#2930	—	2	1	no	—
83	#2930	C₂²	1	1	yes	characteristic
84	#2930	C₂²	1	1	yes	characteristic
85	#2930	C₂²	1	1	yes	characteristic
86	#2930	C₂²	1	1	yes	characteristic
87	#2930	C₂²	1	1	yes	characteristic, complemented
88	#2930	C₂²	1	1	yes	characteristic, complemented
89	#2930	C₂²	1	1	yes	characteristic, complemented
90	#2930	C₂²	1	1	yes	characteristic, complemented
91	#2929	—	2	1	no	—
92	#2929	—	2	1	no	—
93	#2929	C₂²	1	1	yes	characteristic
94	#2929	C₂²	1	1	yes	characteristic
95	#2929	C₂²	1	1	yes	characteristic
96	#2929	C₂²	1	1	yes	characteristic
97	#2929	C₂²	1	1	yes	characteristic, complemented
98	#2929	C₂²	1	1	yes	characteristic, complemented
99	#2929	C₂²	1	1	yes	characteristic, complemented
100	#2929	C₂²	1	1	yes	characteristic, complemented
101	#2905	C₂²	1	1	yes	characteristic, complemented
102	C₂×#424	C₂²	1	1	yes	characteristic, complemented
103	#2879	C₂²	1	1	yes	characteristic
104	#2879	C₂²	1	1	yes	characteristic
105	#2879	C₂²	1	1	yes	characteristic, complemented
106	C₂×#408	C₂²	1	1	yes	characteristic
107	C₂×#408	C₂²	1	1	yes	characteristic, complemented
108	#2873	C₂²	1	1	yes	characteristic, complemented
109	C₂×#405	C₂²	1	1	yes	characteristic, complemented
110	C₂×#405	C₂²	1	1	yes	characteristic, complemented
111	C₂×C₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
112	#2297	C₂²	1	1	yes	characteristic
113	#1975	C₂²	1	1	yes	characteristic
114	#1975	C₂²	1	1	yes	characteristic
115	#1974	C₂²	1	1	yes	characteristic
116	#1974	C₂²	1	1	yes	characteristic
117	#1946	C₂²	1	1	yes	characteristic, complemented
118	#1946	C₂²	1	1	yes	characteristic, complemented
119	#1945	C₂²	1	1	yes	characteristic, complemented
120	#1945	C₂²	1	1	yes	characteristic, complemented
121	#1938	C₂²	1	1	yes	characteristic, complemented
122	#1938	C₂²	1	1	yes	characteristic, complemented
123	#1938	C₂²	1	1	yes	characteristic, complemented
124	#1938	C₂²	1	1	yes	characteristic, complemented
125	#1937	C₂²	1	1	yes	characteristic, complemented
126	#1937	C₂²	1	1	yes	characteristic, complemented
127	#1937	C₂²	1	1	yes	characteristic, complemented
128	#1937	C₂²	1	1	yes	characteristic, complemented
129	#1929	C₂²	1	1	yes	characteristic, complemented
130	#1929	C₂²	1	1	yes	characteristic, complemented
131	#1929	C₂²	1	1	yes	characteristic, complemented
132	#1929	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	#1922	C₂²	1	1	yes	characteristic, complemented
138	#1922	C₂²	1	1	yes	characteristic, complemented
139	#1922	C₂²	1	1	yes	characteristic, complemented
140	#1922	C₂²	1	1	yes	characteristic, complemented
141	#1922	C₂²	1	1	yes	characteristic, complemented
142	#1922	C₂²	1	1	yes	characteristic, complemented
143	#1922	C₂²	1	1	yes	characteristic, complemented
144	#1922	C₂²	1	1	yes	characteristic, complemented
145	#1897	C₂²	1	1	yes	characteristic, complemented
146	#1897	C₂²	1	1	yes	characteristic, complemented
147	#1897	C₂²	1	1	yes	characteristic, complemented
148	#1897	C₂²	1	1	yes	characteristic, complemented
149	#1896	C₂²	1	1	yes	characteristic, complemented
150	#1896	C₂²	1	1	yes	characteristic, complemented
151	#1896	C₂²	1	1	yes	characteristic, complemented
152	#1896	C₂²	1	1	yes	characteristic, complemented
153	#1876	C₂²	1	1	yes	characteristic
154	#1876	C₂²	1	1	yes	characteristic
155	#1876	C₂²	1	1	yes	characteristic
156	#1876	C₂²	1	1	yes	characteristic
157	#1876	C₂²	1	1	yes	characteristic
158	#1876	C₂²	1	1	yes	characteristic
159	#1876	C₂²	1	1	yes	characteristic
160	#1876	C₂²	1	1	yes	characteristic
161	#1871	C₂²	1	1	yes	characteristic
162	#1871	C₂²	1	1	yes	characteristic
163	#1871	C₂²	1	1	yes	characteristic
164	#1871	C₂²	1	1	yes	characteristic
165	#1871	C₂²	1	1	yes	characteristic
166	#1871	C₂²	1	1	yes	characteristic
167	#1871	C₂²	1	1	yes	characteristic
168	#1871	C₂²	1	1	yes	characteristic
169	#1866	C₂²	1	1	yes	characteristic, complemented
170	#1866	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	#1855	C₂²	1	1	yes	characteristic, complemented
178	#1855	C₂²	1	1	yes	characteristic, complemented
179	#1855	C₂²	1	1	yes	characteristic, complemented
180	#1855	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	#1826	C₂²	1	1	yes	characteristic, complemented
186	#1826	C₂²	1	1	yes	characteristic, complemented
187	#1826	C₂²	1	1	yes	characteristic, complemented
188	#1826	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	#1789	C₂²	1	1	yes	characteristic, complemented
194	#1789	C₂²	1	1	yes	characteristic, complemented
195	#1789	C₂²	1	1	yes	characteristic, complemented
196	#1789	C₂²	1	1	yes	characteristic, complemented
197	#1773	C₂²	1	1	yes	characteristic, complemented
198	#1773	C₂²	1	1	yes	characteristic, complemented
199	#1772	C₂²	1	1	yes	characteristic, complemented
200	#1772	C₂²	1	1	yes	characteristic, complemented
201	#1765	C₂²	1	1	yes	characteristic, complemented
202	#1765	C₂²	1	1	yes	characteristic, complemented
203	#1765	C₂²	1	1	yes	characteristic, complemented
204	#1765	C₂²	1	1	yes	characteristic, complemented
205	#1764	C₂²	1	1	yes	characteristic, complemented
206	#1764	C₂²	1	1	yes	characteristic, complemented
207	#1764	C₂²	1	1	yes	characteristic, complemented
208	#1764	C₂²	1	1	yes	characteristic, complemented
209	#1753	C₂²	1	1	yes	characteristic, complemented
210	#1753	C₂²	1	1	yes	characteristic, complemented
211	#1753	C₂²	1	1	yes	characteristic, complemented
212	#1753	C₂²	1	1	yes	characteristic, complemented
213	#1752	C₂²	1	1	yes	characteristic, complemented
214	#1752	C₂²	1	1	yes	characteristic, complemented
215	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
216	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
217	#1729	C₂²	1	1	yes	characteristic, complemented
218	C₂×#336	C₂²	1	1	yes	characteristic, complemented
219	C₂²×#41	C₂³	1	1	yes	characteristic
220	C₂²×#41	C₂³	1	1	yes	characteristic
221	C₂²×#41	C₂³	1	1	yes	characteristic
222	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	#568	—	4	2	no	—
227	#568	—	4	2	no	—
228	C₂×#131	—	2	1	no	—
229	C₂×#131	—	2	1	no	—
230	C₂×#131	—	2	1	no	—
231	C₂×#131	—	2	1	no	—
232	C₂×#131	—	4	2	no	—
233	C₂×#131	—	4	2	no	—
234	C₂×#131	—	4	2	no	—
235	C₂×#131	—	4	2	no	—
236	C₂×#131	D₄	1	1	yes	characteristic
237	C₂×#131	D₄	1	1	yes	characteristic
238	C₂×#131	D₄	1	1	yes	characteristic
239	C₂×#131	D₄	1	1	yes	characteristic
240	C₂×#131	D₄	1	1	yes	characteristic
241	C₂×#131	D₄	1	1	yes	characteristic
242	C₂×#131	D₄	1	1	yes	characteristic
243	C₂×#131	D₄	1	1	yes	characteristic
244	C₂×#131	C₂³	1	1	yes	characteristic
245	C₂×#131	C₂³	1	1	yes	characteristic
246	C₂×#131	C₂³	1	1	yes	characteristic
247	C₂×#131	C₂³	1	1	yes	characteristic
248	C₂×#131	C₂³	1	1	yes	characteristic
249	C₂×#131	C₂³	1	1	yes	characteristic
250	C₂×#131	C₂³	1	1	yes	characteristic
251	C₂×#131	C₂³	1	1	yes	characteristic
252	C₂²×M₁₆	—	2	1	no	—
253	C₂²×M₁₆	—	2	1	no	—
254	C₂²×M₁₆	—	2	1	no	—
255	C₂²×M₁₆	C₂³	1	1	yes	characteristic
256	C₂²×M₁₆	C₂³	1	1	yes	characteristic
257	C₂²×M₁₆	C₂³	1	1	yes	characteristic
258	C₂²×M₁₆	C₂³	1	1	yes	characteristic
259	C₂²×M₁₆	C₂³	1	1	yes	characteristic
260	C₂²×M₁₆	C₂³	1	1	yes	characteristic
261	C₂²×M₁₆	C₂³	1	1	yes	characteristic
262	C₂²×M₁₆	C₂³	1	1	yes	characteristic
263	C₂³×C₈	—	2	1	no	—
264	C₂³×C₈	C₂³	1	1	yes	characteristic
265	C₂³×C₈	C₂³	1	1	yes	characteristic
266	C₂³×C₈	C₂³	1	1	yes	characteristic
267	C₂³×C₈	C₂³	1	1	yes	characteristic
268	#537	C₂×C₄	1	1	yes	characteristic
269	#537	C₂×C₄	1	1	yes	characteristic
270	#537	C₂×C₄	1	1	yes	characteristic
271	#537	C₂×C₄	1	1	yes	characteristic
272	#537	C₂×C₄	1	1	yes	characteristic
273	#537	C₂×C₄	1	1	yes	characteristic
274	#537	C₂×C₄	1	1	yes	characteristic
275	#537	C₂×C₄	1	1	yes	characteristic
276	#536	—	2	1	no	—
277	#536	—	2	1	no	—
278	#536	C₂×C₄	1	1	yes	characteristic
279	#536	C₂×C₄	1	1	yes	characteristic
280	#536	C₂×C₄	1	1	yes	characteristic
281	#536	C₂×C₄	1	1	yes	characteristic
282	#535	—	2	1	no	—
283	#535	—	2	1	no	—
284	#535	C₂×C₄	1	1	yes	characteristic
285	#535	C₂×C₄	1	1	yes	characteristic
286	#535	C₂×C₄	1	1	yes	characteristic
287	#535	C₂×C₄	1	1	yes	characteristic
288	#534	—	2	1	no	—
289	#534	—	2	1	no	—
290	#534	—	2	1	no	—
291	#534	—	2	1	no	—
292	#532	—	2	1	no	—
293	#532	—	2	1	no	—
294	#532	—	2	1	no	—
295	#532	—	2	1	no	—
296	#525	—	2	1	no	—
297	#525	—	2	1	no	—
298	#525	—	2	1	no	—
299	#525	—	2	1	no	—
300	#525	C₂³	1	1	yes	characteristic
301	#525	C₂³	1	1	yes	characteristic
302	#525	C₂³	1	1	yes	characteristic
303	#525	C₂³	1	1	yes	characteristic
304	#525	C₂³	1	1	yes	characteristic
305	#525	C₂³	1	1	yes	characteristic
306	#525	C₂³	1	1	yes	characteristic
307	#525	C₂³	1	1	yes	characteristic
308	C₂×#117	C₂³	1	1	yes	characteristic
309	C₂×#117	C₂³	1	1	yes	characteristic
310	C₂×#117	C₂³	1	1	yes	characteristic
311	C₂²×C₄²	C₂³	1	1	yes	characteristic
312	#485	C₂×C₄	1	1	yes	characteristic, complemented
313	#485	C₂×C₄	1	1	yes	characteristic, complemented
314	#485	C₂×C₄	1	1	yes	characteristic, complemented
315	#485	C₂×C₄	1	1	yes	characteristic, complemented
316	#485	C₂×C₄	1	1	yes	characteristic, complemented
317	#485	C₂×C₄	1	1	yes	characteristic, complemented
318	#485	C₂×C₄	1	1	yes	characteristic, complemented
319	#485	C₂×C₄	1	1	yes	characteristic, complemented
320	#484	C₂×C₄	1	1	yes	characteristic, complemented
321	#484	C₂×C₄	1	1	yes	characteristic, complemented
322	#484	C₂×C₄	1	1	yes	characteristic, complemented
323	#484	C₂×C₄	1	1	yes	characteristic, complemented
324	#483	C₂×C₄	1	1	yes	characteristic, complemented
325	#483	C₂×C₄	1	1	yes	characteristic, complemented
326	#483	C₂×C₄	1	1	yes	characteristic, complemented
327	#483	C₂×C₄	1	1	yes	characteristic, complemented
328	#482	C₂×C₄	1	1	yes	characteristic, complemented
329	#482	C₂×C₄	1	1	yes	characteristic, complemented
330	#482	C₂×C₄	1	1	yes	characteristic, complemented
331	#482	C₂×C₄	1	1	yes	characteristic, complemented
332	#482	C₂×C₄	1	1	yes	characteristic, complemented
333	#482	C₂×C₄	1	1	yes	characteristic, complemented
334	#482	C₂×C₄	1	1	yes	characteristic, complemented
335	#482	C₂×C₄	1	1	yes	characteristic, complemented
336	#481	C₂×C₄	1	1	yes	characteristic, complemented
337	#481	C₂×C₄	1	1	yes	characteristic, complemented
338	#481	C₂×C₄	1	1	yes	characteristic, complemented
339	#481	C₂×C₄	1	1	yes	characteristic, complemented
340	#480	C₂×C₄	1	1	yes	characteristic, complemented
341	#480	C₂×C₄	1	1	yes	characteristic, complemented
342	#480	C₂×C₄	1	1	yes	characteristic, complemented
343	#480	C₂×C₄	1	1	yes	characteristic, complemented
344	#470	C₂×C₄	1	1	yes	characteristic
345	#470	C₂×C₄	1	1	yes	characteristic
346	#470	C₂×C₄	1	1	yes	characteristic
347	#470	C₂×C₄	1	1	yes	characteristic
348	#469	C₂×C₄	1	1	yes	characteristic
349	#469	C₂×C₄	1	1	yes	characteristic
350	#469	C₂×C₄	1	1	yes	characteristic
351	#469	C₂×C₄	1	1	yes	characteristic
352	#468	C₂×C₄	1	1	yes	characteristic
353	#468	C₂×C₄	1	1	yes	characteristic
354	#468	C₂×C₄	1	1	yes	characteristic
355	#468	C₂×C₄	1	1	yes	characteristic
356	#468	C₂×C₄	1	1	yes	characteristic
357	#468	C₂×C₄	1	1	yes	characteristic
358	#468	C₂×C₄	1	1	yes	characteristic
359	#468	C₂×C₄	1	1	yes	characteristic
360	#467	C₂×C₄	1	1	yes	characteristic
361	#467	C₂×C₄	1	1	yes	characteristic
362	#467	C₂×C₄	1	1	yes	characteristic
363	#467	C₂×C₄	1	1	yes	characteristic
364	#466	C₂×C₄	1	1	yes	characteristic
365	#466	C₂×C₄	1	1	yes	characteristic
366	#466	C₂×C₄	1	1	yes	characteristic
367	#466	C₂×C₄	1	1	yes	characteristic
368	#465	C₂×C₄	1	1	yes	characteristic
369	#465	C₂×C₄	1	1	yes	characteristic
370	#465	C₂×C₄	1	1	yes	characteristic
371	#465	C₂×C₄	1	1	yes	characteristic
372	#465	C₂×C₄	1	1	yes	characteristic
373	#465	C₂×C₄	1	1	yes	characteristic
374	#465	C₂×C₄	1	1	yes	characteristic
375	#465	C₂×C₄	1	1	yes	characteristic
376	#452	C₂×C₄	1	1	yes	characteristic, complemented
377	#452	C₂×C₄	1	1	yes	characteristic, complemented
378	#452	C₂×C₄	1	1	yes	characteristic, complemented
379	#452	C₂×C₄	1	1	yes	characteristic, complemented
380	#452	C₂×C₄	1	1	yes	characteristic, complemented
381	#452	C₂×C₄	1	1	yes	characteristic, complemented
382	#452	C₂×C₄	1	1	yes	characteristic, complemented
383	#452	C₂×C₄	1	1	yes	characteristic, complemented
384	#451	C₂×C₄	1	1	yes	characteristic, complemented
385	#451	C₂×C₄	1	1	yes	characteristic, complemented
386	#451	C₂×C₄	1	1	yes	characteristic, complemented
387	#451	C₂×C₄	1	1	yes	characteristic, complemented
388	#450	C₂×C₄	1	1	yes	characteristic, complemented
389	#450	C₂×C₄	1	1	yes	characteristic, complemented
390	#450	C₂×C₄	1	1	yes	characteristic, complemented
391	#450	C₂×C₄	1	1	yes	characteristic, complemented
392	#449	C₂×C₄	1	1	yes	characteristic, complemented
393	#449	C₂×C₄	1	1	yes	characteristic, complemented
394	#449	C₂×C₄	1	1	yes	characteristic, complemented
395	#449	C₂×C₄	1	1	yes	characteristic, complemented
396	#449	C₂×C₄	1	1	yes	characteristic, complemented
397	#449	C₂×C₄	1	1	yes	characteristic, complemented
398	#449	C₂×C₄	1	1	yes	characteristic, complemented
399	#449	C₂×C₄	1	1	yes	characteristic, complemented
400	#448	C₂×C₄	1	1	yes	characteristic, complemented
401	#448	C₂×C₄	1	1	yes	characteristic, complemented
402	#448	C₂×C₄	1	1	yes	characteristic, complemented
403	#448	C₂×C₄	1	1	yes	characteristic, complemented
404	#447	C₂×C₄	1	1	yes	characteristic, complemented
405	#447	C₂×C₄	1	1	yes	characteristic, complemented
406	#447	C₂×C₄	1	1	yes	characteristic, complemented
407	#447	C₂×C₄	1	1	yes	characteristic, complemented
408	#444	—	4	2	no	—
409	#444	—	4	2	no	—
410	#443	—	4	2	no	—
411	#443	—	4	2	no	—
412	#436	—	2	1	no	—
413	#436	—	2	1	no	—
414	#436	—	2	1	no	—
415	#436	—	2	1	no	—
416	#436	—	2	1	no	—
417	#436	—	2	1	no	—
418	#436	—	2	1	no	—
419	#436	—	2	1	no	—
420	#436	—	2	1	no	—
421	#436	—	2	1	no	—
422	#436	—	2	1	no	—
423	#436	—	2	1	no	—
424	#436	—	2	1	no	—
425	#436	—	2	1	no	—
426	#436	—	2	1	no	—
427	#436	—	2	1	no	—
428	#435	—	2	1	no	—
429	#435	—	2	1	no	—
430	#435	—	2	1	no	—
431	#435	—	2	1	no	—
432	#435	—	2	1	no	—
433	#435	—	2	1	no	—
434	#435	—	2	1	no	—
435	#435	—	2	1	no	—
436	#435	—	2	1	no	—
437	#435	—	2	1	no	—
438	#435	—	2	1	no	—
439	#435	—	2	1	no	—
440	#435	—	2	1	no	—
441	#435	—	2	1	no	—
442	#435	—	2	1	no	—
443	#435	—	2	1	no	—
444	#435	—	2	1	no	—
445	#435	—	2	1	no	—
446	#435	—	2	1	no	—
447	#435	—	2	1	no	—
448	#435	—	2	1	no	—
449	#435	—	2	1	no	—
450	#435	—	2	1	no	—
451	#435	—	2	1	no	—
452	#435	—	2	1	no	—
453	#435	—	2	1	no	—
454	#435	—	2	1	no	—
455	#435	—	2	1	no	—
456	#435	—	2	1	no	—
457	#435	—	2	1	no	—
458	#435	—	2	1	no	—
459	#435	—	2	1	no	—
460	C₈×D₄	—	2	1	no	—
461	C₈×D₄	—	2	1	no	—
462	C₈×D₄	—	2	1	no	—
463	C₈×D₄	—	2	1	no	—
464	C₈×D₄	—	2	1	no	—
465	C₈×D₄	—	2	1	no	—
466	C₈×D₄	—	2	1	no	—
467	C₈×D₄	—	2	1	no	—
468	C₈×D₄	—	2	1	no	—
469	C₈×D₄	—	2	1	no	—
470	C₈×D₄	—	2	1	no	—
471	C₈×D₄	—	2	1	no	—
472	C₈×D₄	—	2	1	no	—
473	C₈×D₄	—	2	1	no	—
474	C₈×D₄	—	2	1	no	—
475	C₈×D₄	—	2	1	no	—
476	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	—	2	1	no	—
489	#424	—	2	1	no	—
490	#424	—	2	1	no	—
491	#424	—	2	1	no	—
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	#424	C₂³	1	1	yes	characteristic
497	#424	C₂³	1	1	yes	characteristic
498	#424	C₂³	1	1	yes	characteristic
499	#424	C₂³	1	1	yes	characteristic
500	#423	—	2	1	no	—
501	#423	—	2	1	no	—
502	C₂×C₄⋊C₈	—	2	1	no	—
503	C₂×C₄⋊C₈	—	2	1	no	—
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	C₂×#104	C₂³	1	1	yes	characteristic
517	C₂×#104	C₂³	1	1	yes	characteristic
518	C₂×#104	C₂³	1	1	yes	characteristic
519	C₂×#104	C₂³	1	1	yes	characteristic
520	#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	#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	#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	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	#407	—	2	1	no	—
557	#407	—	2	1	no	—
558	#407	C₂³	1	1	yes	characteristic
559	#407	C₂³	1	1	yes	characteristic
560	#407	C₂³	1	1	yes	characteristic
561	#407	C₂³	1	1	yes	characteristic
562	#407	C₂³	1	1	yes	characteristic
563	#407	C₂³	1	1	yes	characteristic
564	#407	C₂³	1	1	yes	characteristic
565	#407	C₂³	1	1	yes	characteristic
566	C₂×C₂²⋊C₈	—	2	1	no	—
567	C₂×C₂²⋊C₈	—	2	1	no	—
568	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
569	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
570	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
571	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
572	#405	—	2	1	no	—
573	#405	—	2	1	no	—
574	#405	—	2	1	no	—
575	#405	—	2	1	no	—
576	#405	—	4	2	no	—
577	#405	C₂³	1	1	yes	characteristic
578	#405	C₂³	1	1	yes	characteristic
579	#405	C₂³	1	1	yes	characteristic
580	#405	C₂³	1	1	yes	characteristic
581	#405	C₂³	1	1	yes	characteristic
582	#405	C₂³	1	1	yes	characteristic
583	#405	C₂³	1	1	yes	characteristic
584	#405	C₂³	1	1	yes	characteristic
585	C₄×M₁₆	—	2	1	no	—
586	C₄×M₁₆	—	2	1	no	—
587	C₄×M₁₆	—	4	2	no	—
588	C₂×#97	—	2	1	no	—
589	C₂×#97	C₂³	1	1	yes	characteristic
590	C₂×#97	C₂³	1	1	yes	characteristic
591	C₂×#97	C₂³	1	1	yes	characteristic
592	C₂×#97	C₂³	1	1	yes	characteristic
593	C₂×C₄×C₈	—	2	1	no	—
594	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
595	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
596	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
597	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
598	#391	—	2	1	no	—
599	#390	—	2	1	no	—
600	#386	—	2	1	no	—
601	#386	—	2	1	no	—
602	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
603	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
604	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
605	C₄×C₂²⋊C₄	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	C₂⁴	1	1	yes	characteristic
684	C₂³×C₄	C₂⁴	1	1	yes	characteristic
685	C₂³×C₄	C₂⁴	1	1	yes	characteristic
686	#135	—	4	1	no	—
687	#135	—	4	1	no	—
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	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
695	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
696	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
697	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
698	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
699	C₂×SD₁₆	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×D₈	C₂²×C₄	1	1	yes	characteristic
707	C₂×D₈	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	#131	—	2	2	no	—
711	#131	—	2	2	no	—
712	#131	—	2	2	no	—
713	#131	—	2	2	no	—
714	#131	—	2	2	no	—
715	#131	—	2	2	no	—
716	#131	—	2	2	no	—
717	#131	—	2	2	no	—
718	#131	—	4	2	no	—
719	#131	—	4	2	no	—
720	#131	—	4	2	no	—
721	#131	—	4	2	no	—
722	#131	—	4	2	no	—
723	#131	—	4	2	no	—
724	#131	—	4	2	no	—
725	#131	—	4	2	no	—
726	#131	—	4	1	no	—
727	#131	—	4	1	no	—
728	#131	—	4	1	no	—
729	#131	—	4	1	no	—
730	#131	—	4	1	no	—
731	#131	—	4	1	no	—
732	#131	—	4	1	no	—
733	#131	—	4	1	no	—
734	#131	—	4	4	no	—
735	#131	—	4	4	no	—
736	#131	—	4	4	no	—
737	#131	—	4	4	no	—
738	C₂×M₁₆	—	2	1	no	—
739	C₂×M₁₆	—	2	1	no	—
740	C₂×M₁₆	—	2	1	no	—
741	C₂×M₁₆	—	2	1	no	—
742	C₂×M₁₆	—	2	1	no	—
743	C₂×M₁₆	—	2	1	no	—
744	C₂×M₁₆	—	2	1	no	—
745	C₂×M₁₆	—	2	1	no	—
746	C₂×M₁₆	—	2	1	no	—
747	C₂×M₁₆	—	2	1	no	—
748	C₂×M₁₆	—	2	1	no	—
749	C₂×M₁₆	—	2	1	no	—
750	C₂×M₁₆	—	2	2	no	—
751	C₂×M₁₆	—	2	2	no	—
752	C₂×M₁₆	—	2	2	no	—
753	C₂×M₁₆	—	2	2	no	—
754	C₂×M₁₆	—	4	1	no	—
755	C₂×M₁₆	—	4	1	no	—
756	C₂×M₁₆	—	4	1	no	—
757	C₂×M₁₆	—	4	1	no	—
758	C₂×M₁₆	—	4	4	no	—
759	C₂×M₁₆	—	4	1	no	—
760	C₂×M₁₆	—	4	1	no	—
761	C₂×M₁₆	—	4	1	no	—
762	C₂×M₁₆	—	4	1	no	—
763	C₂×M₁₆	—	4	1	no	—
764	C₂×M₁₆	—	4	1	no	—
765	C₂×M₁₆	—	4	1	no	—
766	C₂×M₁₆	—	4	1	no	—
767	C₂×M₁₆	—	4	4	no	—
768	C₂×M₁₆	—	4	4	no	—
769	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
770	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
771	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
772	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
773	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
774	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
775	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
776	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
777	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
778	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
779	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
780	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
781	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
782	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
783	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
784	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
785	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
786	C₂×M₁₆	C₂⁴	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	C₂²×C₈	—	2	2	no	—
794	C₂²×C₈	—	2	2	no	—
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	—	4	1	no	—
810	C₂²×C₈	—	4	1	no	—
811	C₂²×C₈	—	4	1	no	—
812	C₂²×C₈	—	4	1	no	—
813	C₂²×C₈	—	4	4	no	—
814	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
815	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
816	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
817	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
818	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
819	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
820	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
821	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
822	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
823	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
824	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
825	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
826	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
827	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
828	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
829	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
830	C₂²×C₈	C₂⁴	1	1	yes	characteristic
831	C₂²×C₈	C₂⁴	1	1	yes	characteristic
832	C₂²×C₈	C₂⁴	1	1	yes	characteristic
833	C₂²×C₈	C₂⁴	1	1	yes	characteristic
834	C₂²×C₈	C₂⁴	1	1	yes	characteristic
835	C₂²×C₈	C₂⁴	1	1	yes	characteristic
836	C₂²×C₈	C₂⁴	1	1	yes	characteristic
837	C₂²×C₈	C₂⁴	1	1	yes	characteristic
838	C₄⋊Q₈	—	2	1	no	—
839	C₄⋊Q₈	—	2	1	no	—
840	C₄⋊Q₈	—	2	1	no	—
841	C₄⋊Q₈	—	2	1	no	—
842	#127	—	2	1	no	—
843	#127	—	2	1	no	—
844	#127	—	2	1	no	—
845	#127	—	2	1	no	—
846	#124	—	2	1	no	—
847	#124	—	2	1	no	—
848	#124	—	2	1	no	—
849	#124	—	2	1	no	—
850	#124	—	2	1	no	—
851	#124	—	2	1	no	—
852	#124	—	2	1	no	—
853	#124	—	2	1	no	—
854	#123	—	2	1	no	—
855	#123	—	2	1	no	—
856	#123	—	2	1	no	—
857	#123	—	2	1	no	—
858	#123	—	2	1	no	—
859	#123	—	2	1	no	—
860	#123	—	2	1	no	—
861	#123	—	2	1	no	—
862	#123	—	2	1	no	—
863	#123	—	2	1	no	—
864	#123	—	2	1	no	—
865	#123	—	2	1	no	—
866	#123	—	2	1	no	—
867	#123	—	2	1	no	—
868	#123	—	2	1	no	—
869	#123	—	2	1	no	—
870	C₂²⋊Q₈	—	2	1	no	—
871	C₂²⋊Q₈	—	2	1	no	—
872	C₂²⋊Q₈	—	2	1	no	—
873	C₂²⋊Q₈	—	2	1	no	—
874	C₂²⋊Q₈	—	2	1	no	—
875	C₂²⋊Q₈	—	2	1	no	—
876	C₂²⋊Q₈	—	2	1	no	—
877	C₂²⋊Q₈	—	2	1	no	—
878	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
879	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
880	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
881	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
882	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
883	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
884	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
885	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
886	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
887	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
888	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
889	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
890	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
891	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
892	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
893	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
894	#121	—	2	1	no	—
895	#121	—	2	1	no	—
896	#121	—	2	1	no	—
897	#121	—	2	1	no	—
898	#121	—	2	1	no	—
899	#121	—	2	1	no	—
900	#121	—	2	1	no	—
901	#121	—	2	1	no	—
902	#121	—	2	1	no	—
903	#121	—	2	1	no	—
904	#121	—	2	1	no	—
905	#121	—	2	1	no	—
906	#121	—	2	1	no	—
907	#121	—	2	1	no	—
908	#121	—	2	1	no	—
909	#121	—	2	1	no	—
910	#121	—	2	1	no	—
911	#121	—	2	1	no	—
912	#121	—	2	1	no	—
913	#121	—	2	1	no	—
914	#121	—	2	1	no	—
915	#121	—	2	1	no	—
916	#121	—	2	1	no	—
917	#121	—	2	1	no	—
918	#121	C₂²×C₄	1	1	yes	characteristic
919	#121	C₂²×C₄	1	1	yes	characteristic
920	#121	C₂²×C₄	1	1	yes	characteristic
921	#121	C₂²×C₄	1	1	yes	characteristic
922	#121	C₂²×C₄	1	1	yes	characteristic
923	#121	C₂²×C₄	1	1	yes	characteristic
924	#121	C₂²×C₄	1	1	yes	characteristic
925	#121	C₂²×C₄	1	1	yes	characteristic
926	#121	C₂²×C₄	1	1	yes	characteristic
927	#121	C₂²×C₄	1	1	yes	characteristic
928	#121	C₂²×C₄	1	1	yes	characteristic
929	#121	C₂²×C₄	1	1	yes	characteristic
930	#121	C₂²×C₄	1	1	yes	characteristic
931	#121	C₂²×C₄	1	1	yes	characteristic
932	#121	C₂²×C₄	1	1	yes	characteristic
933	#121	C₂²×C₄	1	1	yes	characteristic
934	#120	—	2	1	no	—
935	#120	—	2	1	no	—
936	#120	—	2	1	no	—
937	#120	—	2	1	no	—
938	#120	—	2	1	no	—
939	#120	—	2	1	no	—
940	#120	—	2	1	no	—
941	#120	—	2	1	no	—
942	#120	—	2	1	no	—
943	#120	—	2	1	no	—
944	#120	—	2	1	no	—
945	#120	—	2	1	no	—
946	#120	—	2	1	no	—
947	#120	—	2	1	no	—
948	#120	—	2	1	no	—
949	#120	—	2	1	no	—
950	C₄×D₄	—	2	1	no	—
951	C₄×D₄	—	2	1	no	—
952	C₄×D₄	—	2	1	no	—
953	C₄×D₄	—	2	1	no	—
954	C₄×D₄	—	2	1	no	—
955	C₄×D₄	—	2	1	no	—
956	C₄×D₄	—	2	1	no	—
957	C₄×D₄	—	2	1	no	—
958	C₄×D₄	—	2	1	no	—
959	C₄×D₄	—	2	1	no	—
960	C₄×D₄	—	2	1	no	—
961	C₄×D₄	—	2	1	no	—
962	C₄×D₄	—	2	1	no	—
963	C₄×D₄	—	2	1	no	—
964	C₄×D₄	—	2	1	no	—
965	C₄×D₄	—	2	1	no	—
966	#117	—	2	1	no	—
967	#117	—	2	1	no	—
968	#117	—	2	1	no	—
969	#117	—	2	1	no	—
970	#117	—	4	1	no	—
971	#117	—	4	1	no	—
972	#117	C₂²×C₄	1	1	yes	characteristic
973	#117	C₂²×C₄	1	1	yes	characteristic
974	#117	C₂²×C₄	1	1	yes	characteristic
975	#117	C₂²×C₄	1	1	yes	characteristic
976	#117	C₂⁴	1	1	yes	characteristic
977	#117	C₂⁴	1	1	yes	characteristic
978	#117	C₂⁴	1	1	yes	characteristic
979	#117	C₂⁴	1	1	yes	characteristic
980	C₂×C₄⋊C₄	—	2	1	no	—
981	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
982	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
983	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
984	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
985	C₂×C₂²⋊C₄	—	2	1	no	—
986	C₂×C₂²⋊C₄	—	2	1	no	—
987	C₂×C₂²⋊C₄	—	2	1	no	—
988	C₂×C₂²⋊C₄	—	2	1	no	—
989	C₂×C₂²⋊C₄	—	2	1	no	—
990	C₂×C₂²⋊C₄	—	2	1	no	—
991	C₂×C₂²⋊C₄	—	2	1	no	—
992	C₂×C₄²	—	2	1	no	—
993	C₂×C₄²	—	2	1	no	—
994	C₂×C₄²	—	2	1	no	—
995	C₂×C₄²	—	4	1	no	—
996	C₂×C₄²	—	4	1	no	—
997	C₂×C₄²	C₂⁴	1	1	yes	characteristic
998	C₂×C₄²	C₂⁴	1	1	yes	characteristic
999	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1000	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1001	#108	—	4	1	no	—
1002	#108	—	4	1	no	—
1003	#108	—	4	1	no	—
1004	#108	—	4	1	no	—
1005	#108	—	4	1	no	—
1006	#108	—	4	1	no	—
1007	#108	—	4	1	no	—
1008	#108	—	4	1	no	—
1009	#107	C₂²×C₄	1	1	yes	characteristic
1010	#107	C₂²×C₄	1	1	yes	characteristic
1011	#107	C₂²×C₄	1	1	yes	characteristic
1012	#107	C₂²×C₄	1	1	yes	characteristic
1013	#107	C₂²×C₄	1	1	yes	characteristic
1014	#107	C₂²×C₄	1	1	yes	characteristic
1015	#107	C₂²×C₄	1	1	yes	characteristic
1016	#107	C₂²×C₄	1	1	yes	characteristic
1017	#106	C₂²×C₄	1	1	yes	characteristic
1018	#106	C₂²×C₄	1	1	yes	characteristic
1019	#106	C₂²×C₄	1	1	yes	characteristic
1020	#106	C₂²×C₄	1	1	yes	characteristic
1021	#106	C₂²×C₄	1	1	yes	characteristic
1022	#106	C₂²×C₄	1	1	yes	characteristic
1023	#106	C₂²×C₄	1	1	yes	characteristic
1024	#106	C₂²×C₄	1	1	yes	characteristic
1025	C₄⋊C₈	—	2	1	no	—
1026	C₄⋊C₈	—	2	1	no	—
1027	C₄⋊C₈	—	2	1	no	—
1028	C₄⋊C₈	—	2	1	no	—
1029	C₄⋊C₈	—	2	1	no	—
1030	C₄⋊C₈	—	2	1	no	—
1031	C₄⋊C₈	—	2	1	no	—
1032	C₄⋊C₈	—	2	1	no	—
1033	C₄⋊C₈	—	2	1	no	—
1034	C₄⋊C₈	—	2	1	no	—
1035	C₄⋊C₈	—	2	1	no	—
1036	C₄⋊C₈	—	2	1	no	—
1037	C₄⋊C₈	—	2	1	no	—
1038	C₄⋊C₈	—	2	1	no	—
1039	C₄⋊C₈	—	2	1	no	—
1040	C₄⋊C₈	—	2	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	#104	—	4	1	no	—
1056	#104	—	4	1	no	—
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	#103	C₂²×C₄	1	1	yes	characteristic
1072	#103	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	#102	C₂²×C₄	1	1	yes	characteristic
1088	#102	C₂²×C₄	1	1	yes	characteristic
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	—	2	1	no	—
1120	C₂²⋊C₈	—	2	1	no	—
1121	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1122	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1123	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1124	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1125	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1126	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1127	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1128	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1129	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1130	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1131	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1132	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1133	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1134	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1135	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1136	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1137	#97	—	2	1	no	—
1138	#97	—	2	1	no	—
1139	#97	—	2	1	no	—
1140	#97	—	2	1	no	—
1141	#97	—	2	1	no	—
1142	#97	—	2	1	no	—
1143	#97	—	2	1	no	—
1144	#97	—	2	1	no	—
1145	#97	—	2	2	no	—
1146	#97	—	2	2	no	—
1147	#97	—	4	1	no	—
1148	#97	—	4	1	no	—
1149	C₄×C₈	—	2	1	no	—
1150	C₄×C₈	—	2	1	no	—
1151	C₄×C₈	—	2	1	no	—
1152	C₄×C₈	—	2	1	no	—
1153	C₄×C₈	—	2	1	no	—
1154	C₄×C₈	—	2	1	no	—
1155	C₄×C₈	—	2	1	no	—
1156	C₄×C₈	—	2	1	no	—
1157	C₄×C₈	—	2	2	no	—
1158	C₄×C₈	—	2	2	no	—
1159	C₄×C₈	—	4	1	no	—
1160	C₄×C₈	—	4	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	C₂×#41	1	1	yes	characteristic
1168	C₂⁴	C₂×#41	1	1	yes	characteristic
1169	C₂⁴	C₂×#41	1	1	yes	characteristic
1170	#41	—	2	1	no	—
1171	#41	—	2	1	no	—
1172	#41	—	2	1	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	—	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	—	4	1	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	—	4	1	no	—
1208	#41	—	4	1	no	—
1209	#41	—	4	1	no	—
1210	#41	—	4	2	no	—
1211	#41	—	4	2	no	—
1212	#41	—	4	2	no	—
1213	#41	—	4	2	no	—
1214	#41	—	4	2	no	—
1215	#41	—	4	2	no	—
1216	#41	—	4	2	no	—
1217	#41	—	4	2	no	—
1218	C₂×Q₈	—	2	1	no	—
1219	C₂×Q₈	—	2	1	no	—
1220	C₂×Q₈	—	4	1	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	C₄×D₄	1	1	yes	characteristic
1227	C₂×Q₈	C₄×D₄	1	1	yes	characteristic
1228	C₂×Q₈	C₄×D₄	1	1	yes	characteristic
1229	C₂×Q₈	C₄×D₄	1	1	yes	characteristic
1230	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1231	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1232	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1233	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
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	—	2	1	no	—
1257	C₂×D₄	—	2	1	no	—
1258	C₂×D₄	—	2	1	no	—
1259	C₂×D₄	—	2	1	no	—
1260	C₂×D₄	—	4	1	no	—
1261	C₂×D₄	—	4	1	no	—
1262	C₂×D₄	—	4	1	no	—
1263	C₂×D₄	—	4	1	no	—
1264	C₂×D₄	—	4	1	no	—
1265	C₂×D₄	—	4	1	no	—
1266	C₂×D₄	—	4	1	no	—
1267	C₂×D₄	—	4	1	no	—
1268	C₂×D₄	—	4	1	no	—
1269	C₂×D₄	—	4	1	no	—
1270	C₂×D₄	—	4	2	no	—
1271	C₂×D₄	—	4	2	no	—
1272	C₂×D₄	—	4	2	no	—
1273	C₂×D₄	—	4	2	no	—
1274	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1275	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1276	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1277	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1278	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1279	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1280	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1281	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1282	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1283	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1284	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1285	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1286	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1287	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1288	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1289	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
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	—	2	1	no	—
1309	C₂²×C₄	—	2	1	no	—
1310	C₂²×C₄	—	2	1	no	—
1311	C₂²×C₄	—	2	1	no	—
1312	C₂²×C₄	—	2	1	no	—
1313	C₂²×C₄	—	2	1	no	—
1314	C₂²×C₄	—	2	1	no	—
1315	C₂²×C₄	—	2	1	no	—
1316	C₂²×C₄	—	2	1	no	—
1317	C₂²×C₄	—	2	1	no	—
1318	C₂²×C₄	—	2	1	no	—
1319	C₂²×C₄	—	2	1	no	—
1320	C₂²×C₄	—	4	2	no	—
1321	C₂²×C₄	—	4	2	no	—
1322	C₂²×C₄	—	4	2	no	—
1323	C₂²×C₄	—	4	2	no	—
1324	C₂²×C₄	—	4	2	no	—
1325	C₂²×C₄	—	4	2	no	—
1326	C₂²×C₄	—	8	1	no	—
1327	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1328	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1329	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1330	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1331	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1332	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1333	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1334	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1335	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1336	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1337	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1338	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1339	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1340	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1341	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1342	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1343	Q₁₆	—	4	1	no	—
1344	Q₁₆	—	4	1	no	—
1345	Q₁₆	—	4	1	no	—
1346	Q₁₆	—	4	1	no	—
1347	SD₁₆	—	4	1	no	—
1348	SD₁₆	—	4	1	no	—
1349	SD₁₆	—	4	1	no	—
1350	SD₁₆	—	4	1	no	—
1351	SD₁₆	—	4	1	no	—
1352	SD₁₆	—	4	1	no	—
1353	SD₁₆	—	4	1	no	—
1354	SD₁₆	—	4	1	no	—
1355	D₈	—	4	1	no	—
1356	D₈	—	4	1	no	—
1357	D₈	—	4	1	no	—
1358	D₈	—	4	1	no	—
1359	M₁₆	—	2	2	no	—
1360	M₁₆	—	2	2	no	—
1361	M₁₆	—	2	2	no	—
1362	M₁₆	—	2	2	no	—
1363	M₁₆	—	2	2	no	—
1364	M₁₆	—	2	2	no	—
1365	M₁₆	—	2	2	no	—
1366	M₁₆	—	2	2	no	—
1367	M₁₆	—	2	1	no	—
1368	M₁₆	—	2	1	no	—
1369	M₁₆	—	2	1	no	—
1370	M₁₆	—	2	1	no	—
1371	M₁₆	—	2	1	no	—
1372	M₁₆	—	2	1	no	—
1373	M₁₆	—	2	1	no	—
1374	M₁₆	—	2	1	no	—
1375	M₁₆	—	2	1	no	—
1376	M₁₆	—	2	1	no	—
1377	M₁₆	—	2	1	no	—
1378	M₁₆	—	2	1	no	—
1379	M₁₆	—	2	1	no	—
1380	M₁₆	—	2	1	no	—
1381	M₁₆	—	2	1	no	—
1382	M₁₆	—	2	1	no	—
1383	M₁₆	—	4	1	no	—
1384	M₁₆	—	4	1	no	—
1385	M₁₆	—	4	1	no	—
1386	M₁₆	—	4	1	no	—
1387	M₁₆	—	4	1	no	—
1388	M₁₆	—	4	1	no	—
1389	M₁₆	—	4	1	no	—
1390	M₁₆	—	4	1	no	—
1391	M₁₆	—	4	2	no	—
1392	M₁₆	—	4	2	no	—
1393	M₁₆	—	4	2	no	—
1394	M₁₆	—	4	2	no	—
1395	M₁₆	—	4	2	no	—
1396	M₁₆	—	4	2	no	—
1397	M₁₆	—	4	2	no	—
1398	M₁₆	—	4	2	no	—
1399	M₁₆	—	4	2	no	—
1400	M₁₆	—	4	2	no	—
1401	M₁₆	—	4	2	no	—
1402	M₁₆	—	4	2	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	—	2	1	no	—
1414	C₂×C₈	—	2	1	no	—
1415	C₂×C₈	—	2	1	no	—
1416	C₂×C₈	—	2	1	no	—
1417	C₂×C₈	—	2	2	no	—
1418	C₂×C₈	—	2	2	no	—
1419	C₂×C₈	—	2	2	no	—
1420	C₂×C₈	—	2	2	no	—
1421	C₂×C₈	—	2	1	no	—
1422	C₂×C₈	—	2	1	no	—
1423	C₂×C₈	—	2	1	no	—
1424	C₂×C₈	—	2	1	no	—
1425	C₂×C₈	—	2	1	no	—
1426	C₂×C₈	—	2	1	no	—
1427	C₂×C₈	—	2	1	no	—
1428	C₂×C₈	—	2	1	no	—
1429	C₂×C₈	—	4	1	no	—
1430	C₂×C₈	—	4	1	no	—
1431	C₂×C₈	—	4	1	no	—
1432	C₂×C₈	—	4	1	no	—
1433	C₂×C₈	—	4	1	no	—
1434	C₂×C₈	—	4	1	no	—
1435	C₂×C₈	—	4	1	no	—
1436	C₂×C₈	—	4	1	no	—
1437	C₂×C₈	—	4	1	no	—
1438	C₂×C₈	—	4	1	no	—
1439	C₂×C₈	—	4	1	no	—
1440	C₂×C₈	—	4	1	no	—
1441	C₂×C₈	—	4	2	no	—
1442	C₂×C₈	—	4	2	no	—
1443	C₂×C₈	—	4	2	no	—
1444	C₂×C₈	—	4	2	no	—
1445	C₂×C₈	—	4	2	no	—
1446	C₂×C₈	—	4	2	no	—
1447	C₂×C₈	—	4	2	no	—
1448	C₂×C₈	—	4	2	no	—
1449	C₂×C₈	—	4	2	no	—
1450	C₂×C₈	—	4	2	no	—
1451	C₂×C₈	—	4	2	no	—
1452	C₂×C₈	—	4	2	no	—
1453	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1454	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1455	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1456	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1457	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1458	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1459	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1460	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1461	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1462	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1463	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1464	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1465	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1466	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1467	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1468	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1469	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
1470	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
1471	C₄⋊C₄	—	2	1	no	—
1472	C₄⋊C₄	—	2	1	no	—
1473	C₄⋊C₄	—	2	1	no	—
1474	C₄⋊C₄	—	2	1	no	—
1475	C₄⋊C₄	—	2	1	no	—
1476	C₄⋊C₄	—	2	1	no	—
1477	C₄⋊C₄	—	2	1	no	—
1478	C₄⋊C₄	—	2	1	no	—
1479	C₄⋊C₄	—	2	1	no	—
1480	C₄⋊C₄	—	2	1	no	—
1481	C₄⋊C₄	—	2	1	no	—
1482	C₄⋊C₄	—	2	1	no	—
1483	C₄⋊C₄	—	2	1	no	—
1484	C₄⋊C₄	—	2	1	no	—
1485	C₄⋊C₄	—	2	1	no	—
1486	C₄⋊C₄	—	2	1	no	—
1487	C₄⋊C₄	—	2	1	no	—
1488	C₄⋊C₄	—	2	1	no	—
1489	C₄⋊C₄	—	2	1	no	—
1490	C₄⋊C₄	—	2	1	no	—
1491	C₄⋊C₄	—	4	2	no	—
1492	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1493	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1494	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1495	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1496	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1497	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1498	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1499	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
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	—	2	1	no	—
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	2	1	no	—
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	2	1	no	—
1533	C₂²⋊C₄	—	2	1	no	—
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	—	2	1	no	—
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	—	2	1	no	—
1538	C₂²⋊C₄	—	2	1	no	—
1539	C₂²⋊C₄	—	2	1	no	—
1540	C₂²⋊C₄	—	4	2	no	—
1541	C₂²⋊C₄	—	4	2	no	—
1542	C₂²⋊C₄	—	4	2	no	—
1543	C₂²⋊C₄	—	8	1	no	—
1544	C₂²⋊C₄	—	8	1	no	—
1545	C₄²	—	2	1	no	—
1546	C₄²	—	2	1	no	—
1547	C₄²	—	2	1	no	—
1548	C₄²	—	2	1	no	—
1549	C₄²	—	2	1	no	—
1550	C₄²	—	2	1	no	—
1551	C₄²	—	2	1	no	—
1552	C₄²	—	2	1	no	—
1553	C₄²	—	2	1	no	—
1554	C₄²	—	2	1	no	—
1555	C₄²	—	2	1	no	—
1556	C₄²	—	2	1	no	—
1557	C₄²	—	2	1	no	—
1558	C₄²	—	2	1	no	—
1559	C₄²	—	2	1	no	—
1560	C₄²	—	2	1	no	—
1561	C₄²	—	4	2	no	—
1562	C₂³	—	2	1	no	—
1563	C₂³	—	2	1	no	—
1564	C₂³	—	2	1	no	—
1565	C₂³	—	2	1	no	—
1566	C₂³	—	2	1	no	—
1567	C₂³	—	2	1	no	—
1568	C₂³	—	2	1	no	—
1569	C₂³	—	2	1	no	—
1570	C₂³	—	2	1	no	—
1571	C₂³	—	2	1	no	—
1572	C₂³	—	4	1	no	—
1573	C₂³	—	4	1	no	—
1574	C₂³	—	4	1	no	—
1575	C₂³	—	4	1	no	—
1576	C₂³	—	4	1	no	—
1577	C₂³	—	4	1	no	—
1578	C₂³	—	4	2	no	—
1579	C₂³	—	4	2	no	—
1580	C₂³	—	8	1	no	—
1581	C₂³	—	8	1	no	—
1582	C₂³	—	8	1	no	—
1583	C₂³	—	8	1	no	—
1584	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1585	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1586	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1587	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1588	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1589	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1590	C₂³	C₂²×#41	1	1	yes	characteristic
1591	Q₈	—	2	1	no	—
1592	Q₈	—	2	1	no	—
1593	Q₈	—	2	1	no	—
1594	Q₈	—	2	1	no	—
1595	Q₈	—	2	1	no	—
1596	Q₈	—	2	1	no	—
1597	Q₈	—	2	1	no	—
1598	Q₈	—	2	1	no	—
1599	Q₈	—	4	1	no	—
1600	Q₈	—	4	1	no	—
1601	Q₈	—	4	1	no	—
1602	Q₈	—	4	1	no	—
1603	Q₈	—	4	2	no	—
1604	Q₈	—	4	2	no	—
1605	D₄	—	2	1	no	—
1606	D₄	—	2	1	no	—
1607	D₄	—	2	1	no	—
1608	D₄	—	2	1	no	—
1609	D₄	—	2	1	no	—
1610	D₄	—	2	1	no	—
1611	D₄	—	2	1	no	—
1612	D₄	—	2	1	no	—
1613	D₄	—	4	1	no	—
1614	D₄	—	4	1	no	—
1615	D₄	—	4	1	no	—
1616	D₄	—	4	1	no	—
1617	D₄	—	4	1	no	—
1618	D₄	—	4	1	no	—
1619	D₄	—	4	1	no	—
1620	D₄	—	4	1	no	—
1621	D₄	—	4	1	no	—
1622	D₄	—	4	1	no	—
1623	D₄	—	4	1	no	—
1624	D₄	—	4	1	no	—
1625	D₄	—	4	2	no	—
1626	D₄	—	4	2	no	—
1627	D₄	—	4	2	no	—
1628	D₄	—	4	2	no	—
1629	D₄	—	4	2	no	—
1630	D₄	—	4	2	no	—
1631	D₄	—	4	1	no	—
1632	D₄	—	4	1	no	—
1633	D₄	—	4	1	no	—
1634	D₄	—	4	1	no	—
1635	D₄	—	4	1	no	—
1636	D₄	—	4	1	no	—
1637	D₄	—	4	1	no	—
1638	D₄	—	4	1	no	—
1639	D₄	—	8	1	no	—
1640	D₄	—	8	1	no	—
1641	D₄	—	8	1	no	—
1642	D₄	—	8	1	no	—
1643	D₄	—	8	1	no	—
1644	D₄	—	8	1	no	—
1645	D₄	—	8	1	no	—
1646	D₄	—	8	1	no	—
1647	D₄	—	8	1	no	—
1648	D₄	—	8	1	no	—
1649	D₄	—	8	1	no	—
1650	D₄	—	8	1	no	—
1651	D₄	—	8	1	no	—
1652	D₄	—	8	1	no	—
1653	D₄	—	8	1	no	—
1654	D₄	—	8	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	1	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	1	no	—
1679	C₂×C₄	—	2	1	no	—
1680	C₂×C₄	—	2	1	no	—
1681	C₂×C₄	—	2	1	no	—
1682	C₂×C₄	—	2	1	no	—
1683	C₂×C₄	—	2	1	no	—
1684	C₂×C₄	—	2	1	no	—
1685	C₂×C₄	—	2	2	no	—
1686	C₂×C₄	—	2	1	no	—
1687	C₂×C₄	—	2	1	no	—
1688	C₂×C₄	—	2	1	no	—
1689	C₂×C₄	—	2	1	no	—
1690	C₂×C₄	—	2	1	no	—
1691	C₂×C₄	—	2	1	no	—
1692	C₂×C₄	—	2	1	no	—
1693	C₂×C₄	—	2	1	no	—
1694	C₂×C₄	—	2	1	no	—
1695	C₂×C₄	—	2	1	no	—
1696	C₂×C₄	—	2	1	no	—
1697	C₂×C₄	—	2	1	no	—
1698	C₂×C₄	—	4	2	no	—
1699	C₂×C₄	—	4	2	no	—
1700	C₂×C₄	—	4	2	no	—
1701	C₂×C₄	—	4	2	no	—
1702	C₂×C₄	—	4	2	no	—
1703	C₂×C₄	—	4	2	no	—
1704	C₂×C₄	—	4	1	no	—
1705	C₂×C₄	—	4	1	no	—
1706	C₂×C₄	—	4	1	no	—
1707	C₂×C₄	—	4	1	no	—
1708	C₂×C₄	—	4	1	no	—
1709	C₂×C₄	—	4	1	no	—
1710	C₂×C₄	—	4	1	no	—
1711	C₂×C₄	—	4	1	no	—
1712	C₂×C₄	—	4	1	no	—
1713	C₂×C₄	—	4	1	no	—
1714	C₂×C₄	—	4	1	no	—
1715	C₂×C₄	—	4	1	no	—
1716	C₂×C₄	—	4	1	no	—
1717	C₂×C₄	—	4	1	no	—
1718	C₂×C₄	—	4	1	no	—
1719	C₂×C₄	—	4	1	no	—
1720	C₂×C₄	—	4	1	no	—
1721	C₂×C₄	—	4	1	no	—
1722	C₂×C₄	—	4	1	no	—
1723	C₂×C₄	—	8	1	no	—
1724	C₂×C₄	—	8	1	no	—
1725	C₂×C₄	—	8	1	no	—
1726	C₂×C₄	—	8	1	no	—
1727	C₂×C₄	—	8	4	no	—
1728	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1729	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1730	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1731	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1732	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1733	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1734	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
1735	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1736	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1737	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1738	C₂×C₄	#585	1	1	yes	characteristic
1739	C₂×C₄	#585	1	1	yes	characteristic
1740	C₈	—	2	1	no	—
1741	C₈	—	2	1	no	—
1742	C₈	—	2	1	no	—
1743	C₈	—	2	1	no	—
1744	C₈	—	2	1	no	—
1745	C₈	—	2	1	no	—
1746	C₈	—	2	1	no	—
1747	C₈	—	2	1	no	—
1748	C₈	—	2	1	no	—
1749	C₈	—	2	1	no	—
1750	C₈	—	2	1	no	—
1751	C₈	—	2	1	no	—
1752	C₈	—	2	1	no	—
1753	C₈	—	2	1	no	—
1754	C₈	—	4	1	no	—
1755	C₈	—	4	1	no	—
1756	C₈	—	4	1	no	—
1757	C₈	—	4	1	no	—
1758	C₈	—	4	1	no	—
1759	C₈	—	4	1	no	—
1760	C₈	—	4	1	no	—
1761	C₈	—	4	1	no	—
1762	C₈	#534	1	2	yes	—
1763	C₈	#534	1	2	yes	—
1764	C₂²	—	2	1	no	—
1765	C₂²	—	2	1	no	—
1766	C₂²	—	2	1	no	—
1767	C₂²	—	2	1	no	—
1768	C₂²	—	2	1	no	—
1769	C₂²	—	2	1	no	—
1770	C₂²	—	2	1	no	—
1771	C₂²	—	2	1	no	—
1772	C₂²	—	2	1	no	—
1773	C₂²	—	2	1	no	—
1774	C₂²	—	2	1	no	—
1775	C₂²	—	2	1	no	—
1776	C₂²	—	2	1	no	—
1777	C₂²	—	2	1	no	—
1778	C₂²	—	2	1	no	—
1779	C₂²	—	2	1	no	—
1780	C₂²	—	2	1	no	—
1781	C₂²	—	2	1	no	—
1782	C₂²	—	2	1	no	—
1783	C₂²	—	2	1	no	—
1784	C₂²	—	4	2	no	—
1785	C₂²	—	4	2	no	—
1786	C₂²	—	4	1	no	—
1787	C₂²	—	4	1	no	—
1788	C₂²	—	4	1	no	—
1789	C₂²	—	4	1	no	—
1790	C₂²	—	4	1	no	—
1791	C₂²	—	4	1	no	—
1792	C₂²	—	4	1	no	—
1793	C₂²	—	4	1	no	—
1794	C₂²	—	4	1	no	—
1795	C₂²	—	4	1	no	—
1796	C₂²	—	4	1	no	—
1797	C₂²	—	4	1	no	—
1798	C₂²	—	8	1	no	—
1799	C₂²	—	8	1	no	—
1800	C₂²	—	8	1	no	—
1801	C₂²	—	8	1	no	—
1802	C₂²	—	8	4	no	—
1803	C₂²	—	16	2	no	—
1804	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1805	C₂²	#3459	1	1	yes	characteristic
1806	C₂²	#3459	1	1	yes	characteristic
1807	C₄	—	2	1	no	—
1808	C₄	—	2	1	no	—
1809	C₄	—	2	1	no	—
1810	C₄	—	2	1	no	—
1811	C₄	—	2	1	no	—
1812	C₄	—	2	1	no	—
1813	C₄	—	4	2	no	—
1814	C₄	—	4	1	no	—
1815	C₄	—	4	1	no	—
1816	C₄	—	4	1	no	—
1817	C₄	—	4	1	no	—
1818	C₄	—	4	1	no	—
1819	C₄	—	4	1	no	—
1820	C₄	—	4	1	no	—
1821	C₄	—	4	1	no	—
1822	C₄	—	4	1	no	—
1823	C₄	—	4	1	no	—
1824	C₄	—	4	1	no	—
1825	C₄	—	4	1	no	—
1826	C₄	—	8	1	no	—
1827	C₄	—	8	1	no	—
1828	C₄	—	8	1	no	—
1829	C₄	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1830	C₄	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1831	C₄	C₂×#534	1	1	yes	characteristic
1832	C₄	#3449	1	1	yes	characteristic
1833	C₂	—	2	1	no	—
1834	C₂	—	2	1	no	—
1835	C₂	—	4	1	no	—
1836	C₂	—	4	1	no	—
1837	C₂	—	4	1	no	—
1838	C₂	—	4	1	no	—
1839	C₂	—	4	1	no	—
1840	C₂	—	4	1	no	—
1841	C₂	—	8	1	no	—
1842	C₂	—	8	1	no	—
1843	C₂	—	8	1	no	—
1844	C₂	—	8	1	no	—
1845	C₂	C₄×#534	1	1	yes	characteristic
1846	C₂	#60183	1	1	yes	characteristic
1847	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 ◁ C₂²×#131 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #60142	C₂	semidirect
3. #60140	C₂	semidirect
4. #22205	C₂	semidirect
5. #22205	C₂	semidirect
6. #22204	C₂	semidirect
7. #22204	C₂	semidirect
8. #22097	C₂	semidirect
9. #22097	C₂	semidirect
10. #22096	C₂	semidirect
11. #22095	C₂	semidirect
12. #22062	C₂	semidirect
13. #22062	C₂	semidirect
14. #22061	C₂	semidirect
15. #22060	C₂	semidirect
16. #21950	C₂	semidirect
17. #21775	C₂	semidirect
18. #21775	C₂	semidirect
19. #21594	C₂	semidirect
20. #21594	C₂	semidirect
21. #21593	C₂	semidirect
22. #21592	C₂	semidirect
23. #21551	C₂	semidirect
24. #21549	C₂	semidirect
25. #21547	C₂	semidirect
26. #21545	C₂	semidirect
27. #21468	C₂	semidirect
28. #21468	C₂	semidirect
29. #21467	C₂	semidirect
30. #21466	C₂	semidirect
31. #20387	C₂	semidirect
32. C₂×#568	C₂²	semidirect
34. C₂²×#131	C₂²	semidirect
37. #3204	C₄	semidirect
38. #3204	C₄	semidirect
39. #3203	C₄	semidirect
40. #3203	C₄	semidirect
41. #3202	C₄	semidirect
42. #3201	C₄	semidirect
43. #3201	C₄	semidirect
44. #3201	C₄	semidirect
45. #3201	C₄	semidirect
46. #3200	C₄	semidirect
47. #3200	C₄	semidirect
48. #3199	C₄	semidirect
49. #3198	C₄	semidirect
50. #3198	C₄	semidirect
51. #3198	C₄	semidirect
52. #3198	C₄	semidirect
87. #2930	C₂²	semidirect
88. #2930	C₂²	semidirect
89. #2930	C₂²	semidirect
90. #2930	C₂²	semidirect
97. #2929	C₂²	semidirect
98. #2929	C₂²	semidirect
99. #2929	C₂²	semidirect
100. #2929	C₂²	semidirect
101. #2905	C₂²	semidirect
102. C₂×#424	C₂²	semidirect
105. #2879	C₂²	semidirect
107. C₂×#408	C₂²	semidirect
108. #2873	C₂²	semidirect
109. C₂×#405	C₂²	semidirect
110. C₂×#405	C₂²	semidirect
111. C₂×C₄×M₁₆	C₂²	semidirect
117. #1946	C₂²	semidirect
118. #1946	C₂²	semidirect
119. #1945	C₂²	semidirect
120. #1945	C₂²	semidirect
121. #1938	C₂²	semidirect
122. #1938	C₂²	semidirect
123. #1938	C₂²	semidirect
124. #1938	C₂²	semidirect
125. #1937	C₂²	semidirect
126. #1937	C₂²	semidirect
127. #1937	C₂²	semidirect
128. #1937	C₂²	semidirect
129. #1929	C₂²	semidirect
130. #1929	C₂²	semidirect
131. #1929	C₂²	semidirect
132. #1929	C₂²	semidirect
133. #1929	C₂²	semidirect
134. #1929	C₂²	semidirect
135. #1929	C₂²	semidirect
136. #1929	C₂²	semidirect
137. #1922	C₂²	semidirect
138. #1922	C₂²	semidirect
139. #1922	C₂²	semidirect
140. #1922	C₂²	semidirect
141. #1922	C₂²	semidirect
142. #1922	C₂²	semidirect
143. #1922	C₂²	semidirect
144. #1922	C₂²	semidirect
145. #1897	C₂²	semidirect
146. #1897	C₂²	semidirect
147. #1897	C₂²	semidirect
148. #1897	C₂²	semidirect
149. #1896	C₂²	semidirect
150. #1896	C₂²	semidirect
151. #1896	C₂²	semidirect
152. #1896	C₂²	semidirect
169. #1866	C₂²	semidirect
170. #1866	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. #1855	C₂²	semidirect
178. #1855	C₂²	semidirect
179. #1855	C₂²	semidirect
180. #1855	C₂²	semidirect
181. #1855	C₂²	semidirect
182. #1855	C₂²	semidirect
183. #1855	C₂²	semidirect
184. #1855	C₂²	semidirect
185. #1826	C₂²	semidirect
186. #1826	C₂²	semidirect
187. #1826	C₂²	semidirect
188. #1826	C₂²	semidirect
189. #1811	C₂²	semidirect
190. #1811	C₂²	semidirect
191. #1810	C₂²	semidirect
192. #1810	C₂²	semidirect
193. #1789	C₂²	semidirect
194. #1789	C₂²	semidirect
195. #1789	C₂²	semidirect
196. #1789	C₂²	semidirect
197. #1773	C₂²	semidirect
198. #1773	C₂²	semidirect
199. #1772	C₂²	semidirect
200. #1772	C₂²	semidirect
201. #1765	C₂²	semidirect
202. #1765	C₂²	semidirect
203. #1765	C₂²	semidirect
204. #1765	C₂²	semidirect
205. #1764	C₂²	semidirect
206. #1764	C₂²	semidirect
207. #1764	C₂²	semidirect
208. #1764	C₂²	semidirect
209. #1753	C₂²	semidirect
210. #1753	C₂²	semidirect
211. #1753	C₂²	semidirect
212. #1753	C₂²	semidirect
213. #1752	C₂²	semidirect
214. #1752	C₂²	semidirect
215. C₈×C₂²⋊C₄	C₂²	semidirect
216. C₈×C₂²⋊C₄	C₂²	semidirect
217. #1729	C₂²	semidirect
218. C₂×#336	C₂²	semidirect
312. #485	C₂×C₄	semidirect
313. #485	C₂×C₄	semidirect
314. #485	C₂×C₄	semidirect
315. #485	C₂×C₄	semidirect
316. #485	C₂×C₄	semidirect
317. #485	C₂×C₄	semidirect
318. #485	C₂×C₄	semidirect
319. #485	C₂×C₄	semidirect
320. #484	C₂×C₄	semidirect
321. #484	C₂×C₄	semidirect
322. #484	C₂×C₄	semidirect
323. #484	C₂×C₄	semidirect
324. #483	C₂×C₄	semidirect
325. #483	C₂×C₄	semidirect
326. #483	C₂×C₄	semidirect
327. #483	C₂×C₄	semidirect
328. #482	C₂×C₄	semidirect
329. #482	C₂×C₄	semidirect
330. #482	C₂×C₄	semidirect
331. #482	C₂×C₄	semidirect
332. #482	C₂×C₄	semidirect
333. #482	C₂×C₄	semidirect
334. #482	C₂×C₄	semidirect
335. #482	C₂×C₄	semidirect
336. #481	C₂×C₄	semidirect
337. #481	C₂×C₄	semidirect
338. #481	C₂×C₄	semidirect
339. #481	C₂×C₄	semidirect
340. #480	C₂×C₄	semidirect
341. #480	C₂×C₄	semidirect
342. #480	C₂×C₄	semidirect
343. #480	C₂×C₄	semidirect
376. #452	C₂×C₄	semidirect
377. #452	C₂×C₄	semidirect
378. #452	C₂×C₄	semidirect
379. #452	C₂×C₄	semidirect
380. #452	C₂×C₄	semidirect
381. #452	C₂×C₄	semidirect
382. #452	C₂×C₄	semidirect
383. #452	C₂×C₄	semidirect
384. #451	C₂×C₄	semidirect
385. #451	C₂×C₄	semidirect
386. #451	C₂×C₄	semidirect
387. #451	C₂×C₄	semidirect
388. #450	C₂×C₄	semidirect
389. #450	C₂×C₄	semidirect
390. #450	C₂×C₄	semidirect
391. #450	C₂×C₄	semidirect
392. #449	C₂×C₄	semidirect
393. #449	C₂×C₄	semidirect
394. #449	C₂×C₄	semidirect
395. #449	C₂×C₄	semidirect
396. #449	C₂×C₄	semidirect
397. #449	C₂×C₄	semidirect
398. #449	C₂×C₄	semidirect
399. #449	C₂×C₄	semidirect
400. #448	C₂×C₄	semidirect
401. #448	C₂×C₄	semidirect
402. #448	C₂×C₄	semidirect
403. #448	C₂×C₄	semidirect
404. #447	C₂×C₄	semidirect
405. #447	C₂×C₄	semidirect
406. #447	C₂×C₄	semidirect
407. #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
#60142	2
#60140	2
#22205	2
#22204	2
#22097	2
#22096	2
#22095	2
#22062	2
#22061	2
#22060	2
#21950	2
#21775	2
#21594	2
#21593	2
#21592	2
#21551	2
#21549	2
#21547	2
#21545	2
#21468	2
#21467	2
#21466	2
#20387	2