Subgroups — #11660762

Order 768.

1726 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#86276	C₂	1	1	yes	maximal, characteristic
2	C₃×#2987	C₂	1	1	yes	maximal, characteristic, complemented
3	#83331	C₂	1	1	yes	maximal, characteristic, complemented
4	#79949	C₂	1	1	yes	maximal, characteristic, complemented
5	#79949	C₂	1	1	yes	maximal, characteristic, complemented
6	#79948	C₂	1	1	yes	maximal, characteristic, complemented
7	#79947	C₂	1	1	yes	maximal, characteristic, complemented
8	#79946	C₂	1	1	yes	maximal, characteristic, complemented
9	#79946	C₂	1	1	yes	maximal, characteristic, complemented
10	#79945	C₂	1	1	yes	maximal, characteristic, complemented
11	#79944	C₂	1	1	yes	maximal, characteristic, complemented
12	#79943	C₂	1	1	yes	maximal, characteristic, complemented
13	#79942	C₂	1	1	yes	maximal, characteristic, complemented
14	#79941	C₂	1	1	yes	maximal, characteristic, complemented
15	#79941	C₂	1	1	yes	maximal, characteristic, complemented
16	#79940	C₂	1	1	yes	maximal, characteristic, complemented
17	#79940	C₂	1	1	yes	maximal, characteristic, complemented
18	#79939	C₂	1	1	yes	maximal, characteristic, complemented
19	#79938	C₂	1	1	yes	maximal, characteristic, complemented
20	#79378	C₂	1	1	yes	maximal, characteristic, complemented
21	#79377	C₂	1	1	yes	maximal, characteristic, complemented
22	#79376	C₂	1	1	yes	maximal, characteristic, complemented
23	#79376	C₂	1	1	yes	maximal, characteristic, complemented
24	#79374	C₂	1	1	yes	maximal, characteristic, complemented
25	#79374	C₂	1	1	yes	maximal, characteristic, complemented
26	#79371	C₂	1	1	yes	maximal, characteristic, complemented
27	D₃×#433	C₂	1	1	yes	maximal, characteristic, complemented
28	#79336	C₂	1	1	yes	maximal, characteristic, complemented
29	#79335	C₂	1	1	yes	maximal, characteristic, complemented
30	#79334	C₂	1	1	yes	maximal, characteristic, complemented
31	#79332	C₂	1	1	yes	maximal, characteristic, complemented
32	#60299	—	3	1	no	maximal, Sylow
33	C₃×#533	C₂²	1	1	yes	characteristic
34	#5734	C₄	1	1	yes	characteristic
35	#5732	C₄	1	1	yes	characteristic
36	#5730	C₄	1	1	yes	characteristic
37	#5726	C₄	1	1	yes	characteristic
38	#5695	C₄	1	1	yes	characteristic
39	#5695	C₄	1	1	yes	characteristic
40	#5694	C₄	1	1	yes	characteristic
41	#5694	C₄	1	1	yes	characteristic
42	#5642	C₄	1	1	yes	characteristic
43	#5642	C₄	1	1	yes	characteristic
44	#5637	C₄	1	1	yes	characteristic
45	#5637	C₄	1	1	yes	characteristic
46	#5637	C₄	1	1	yes	characteristic
47	#5637	C₄	1	1	yes	characteristic
48	#5630	C₄	1	1	yes	characteristic
49	#5630	C₄	1	1	yes	characteristic
50	#5580	C₂²	1	1	yes	characteristic
51	#5580	C₂²	1	1	yes	characteristic
52	#5580	C₂²	1	1	yes	characteristic
53	#5580	C₂²	1	1	yes	characteristic
54	#5580	C₂²	1	1	yes	characteristic
55	#5580	C₂²	1	1	yes	characteristic
56	C₄×#239	C₂²	1	1	yes	characteristic
57	C₄×#239	C₂²	1	1	yes	characteristic
58	#5524	C₂²	1	1	yes	characteristic
59	#5524	C₂²	1	1	yes	characteristic
60	D₃×#117	C₂²	1	1	yes	characteristic
61	D₃×#117	C₂²	1	1	yes	characteristic
62	C₄×#235	C₂²	1	1	yes	characteristic
63	C₂×C₄×D₁₂	C₂²	1	1	yes	characteristic
64	C₃×#446	C₂²	1	1	yes	characteristic, complemented
65	C₃×#446	C₂²	1	1	yes	characteristic, complemented
66	C₃×#446	C₂²	1	1	yes	characteristic, complemented
67	C₃×#446	C₂²	1	1	yes	characteristic, complemented
68	C₃×#446	C₂²	1	1	yes	characteristic, complemented
69	C₃×#446	C₂²	1	1	yes	characteristic, complemented
70	C₃×#446	C₂²	1	1	yes	characteristic, complemented
71	C₃×#446	C₂²	1	1	yes	characteristic, complemented
72	C₃×#433	C₂²	1	1	yes	characteristic
73	C₃×#433	C₂²	1	1	yes	characteristic
74	C₃×#433	C₂²	1	1	yes	characteristic
75	C₃×#433	C₂²	1	1	yes	characteristic
76	C₃×#432	C₂²	1	1	yes	characteristic
77	C₃×#432	C₂²	1	1	yes	characteristic
78	#5024	C₂²	1	1	yes	characteristic, complemented
79	#5024	C₂²	1	1	yes	characteristic, complemented
80	#5024	C₂²	1	1	yes	characteristic, complemented
81	#5024	C₂²	1	1	yes	characteristic, complemented
82	#5024	C₂²	1	1	yes	characteristic, complemented
83	#5024	C₂²	1	1	yes	characteristic, complemented
84	Q₈×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
85	Q₈×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
86	#5000	C₂²	1	1	yes	characteristic
87	#5000	C₂²	1	1	yes	characteristic
88	#5000	C₂²	1	1	yes	characteristic
89	#5000	C₂²	1	1	yes	characteristic
90	#4926	C₂²	1	1	yes	characteristic
91	#4925	C₂²	1	1	yes	characteristic
92	#4840	C₂²	1	1	yes	characteristic, complemented
93	#4840	C₂²	1	1	yes	characteristic, complemented
94	#4840	C₂²	1	1	yes	characteristic, complemented
95	#4840	C₂²	1	1	yes	characteristic, complemented
96	#4840	C₂²	1	1	yes	characteristic, complemented
97	#4840	C₂²	1	1	yes	characteristic, complemented
98	#4839	C₂²	1	1	yes	characteristic, complemented
99	#4839	C₂²	1	1	yes	characteristic, complemented
100	#4839	C₂²	1	1	yes	characteristic, complemented
101	#4839	C₂²	1	1	yes	characteristic, complemented
102	#4839	C₂²	1	1	yes	characteristic, complemented
103	#4839	C₂²	1	1	yes	characteristic, complemented
104	#4838	C₂²	1	1	yes	characteristic
105	#4838	C₂²	1	1	yes	characteristic
106	#4838	C₂²	1	1	yes	characteristic, complemented
107	#4838	C₂²	1	1	yes	characteristic, complemented
108	#4838	C₂²	1	1	yes	characteristic, complemented
109	#4838	C₂²	1	1	yes	characteristic, complemented
110	#4837	C₂²	1	1	yes	characteristic, complemented
111	#4837	C₂²	1	1	yes	characteristic, complemented
112	#4837	C₂²	1	1	yes	characteristic, complemented
113	#4836	C₂²	1	1	yes	characteristic
114	#4836	C₂²	1	1	yes	characteristic
115	#4836	C₂²	1	1	yes	characteristic
116	#4836	C₂²	1	1	yes	characteristic
117	#4836	C₂²	1	1	yes	characteristic, complemented
118	#4836	C₂²	1	1	yes	characteristic, complemented
119	#4836	C₂²	1	1	yes	characteristic, complemented
120	#4836	C₂²	1	1	yes	characteristic, complemented
121	#4836	C₂²	1	1	yes	characteristic, complemented
122	#4836	C₂²	1	1	yes	characteristic, complemented
123	#4836	C₂²	1	1	yes	characteristic, complemented
124	#4836	C₂²	1	1	yes	characteristic, complemented
125	#4835	C₂²	1	1	yes	characteristic, complemented
126	#4835	C₂²	1	1	yes	characteristic, complemented
127	#4835	C₂²	1	1	yes	characteristic, complemented
128	#4834	C₂²	1	1	yes	characteristic
129	#4834	C₂²	1	1	yes	characteristic
130	#4834	C₂²	1	1	yes	characteristic, complemented
131	#4834	C₂²	1	1	yes	characteristic, complemented
132	#4834	C₂²	1	1	yes	characteristic, complemented
133	#4834	C₂²	1	1	yes	characteristic, complemented
134	#4833	C₂²	1	1	yes	characteristic, complemented
135	#4833	C₂²	1	1	yes	characteristic, complemented
136	#4833	C₂²	1	1	yes	characteristic, complemented
137	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
138	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
139	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
140	#4727	C₂²	1	1	yes	characteristic
141	#4727	C₂²	1	1	yes	characteristic
142	#4727	C₂²	1	1	yes	characteristic
143	#4727	C₂²	1	1	yes	characteristic
144	#4726	C₂²	1	1	yes	characteristic
145	#4726	C₂²	1	1	yes	characteristic
146	#4726	C₂²	1	1	yes	characteristic
147	#4726	C₂²	1	1	yes	characteristic
148	D₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
149	D₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
150	D₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
151	D₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
152	#4720	C₂²	1	1	yes	characteristic
153	#4720	C₂²	1	1	yes	characteristic
154	#4720	C₂²	1	1	yes	characteristic
155	#4720	C₂²	1	1	yes	characteristic
156	#4709	C₂²	1	1	yes	characteristic, complemented
157	#4709	C₂²	1	1	yes	characteristic, complemented
158	#4709	C₂²	1	1	yes	characteristic, complemented
159	#4709	C₂²	1	1	yes	characteristic, complemented
160	#4708	C₂²	1	1	yes	characteristic, complemented
161	#4708	C₂²	1	1	yes	characteristic, complemented
162	#4708	C₂²	1	1	yes	characteristic, complemented
163	#4708	C₂²	1	1	yes	characteristic, complemented
164	#4707	C₂²	1	1	yes	characteristic, complemented
165	#4707	C₂²	1	1	yes	characteristic, complemented
166	#4706	C₂²	1	1	yes	characteristic
167	#4706	C₂²	1	1	yes	characteristic
168	#4706	C₂²	1	1	yes	characteristic
169	#4706	C₂²	1	1	yes	characteristic
170	#4706	C₂²	1	1	yes	characteristic
171	#4706	C₂²	1	1	yes	characteristic
172	#4706	C₂²	1	1	yes	characteristic
173	#4706	C₂²	1	1	yes	characteristic
174	#4706	C₂²	1	1	yes	characteristic, complemented
175	#4706	C₂²	1	1	yes	characteristic, complemented
176	#4706	C₂²	1	1	yes	characteristic, complemented
177	#4706	C₂²	1	1	yes	characteristic, complemented
178	#4706	C₂²	1	1	yes	characteristic, complemented
179	#4706	C₂²	1	1	yes	characteristic, complemented
180	#4706	C₂²	1	1	yes	characteristic, complemented
181	#4706	C₂²	1	1	yes	characteristic, complemented
182	#4705	C₂²	1	1	yes	characteristic, complemented
183	#4705	C₂²	1	1	yes	characteristic, complemented
184	#4705	C₂²	1	1	yes	characteristic, complemented
185	#4705	C₂²	1	1	yes	characteristic, complemented
186	D₃×#97	C₂²	1	1	yes	characteristic, complemented
187	D₃×#97	C₂²	1	1	yes	characteristic, complemented
188	#4690	C₂²	1	1	yes	characteristic, complemented
189	#4690	C₂²	1	1	yes	characteristic, complemented
190	#4689	C₂²	1	1	yes	characteristic, complemented
191	#4689	C₂²	1	1	yes	characteristic, complemented
192	#4688	C₂²	1	1	yes	characteristic, complemented
193	#4688	C₂²	1	1	yes	characteristic, complemented
194	#4688	C₂²	1	1	yes	characteristic, complemented
195	#4688	C₂²	1	1	yes	characteristic, complemented
196	C₄×ΓL(1,𝔽₂₅)	C₂²	1	1	yes	characteristic, complemented
197	C₈×D₁₂	C₂²	1	1	yes	characteristic, complemented
198	C₈×D₁₂	C₂²	1	1	yes	characteristic, complemented
199	C₈×D₁₂	C₂²	1	1	yes	characteristic, complemented
200	C₈×D₁₂	C₂²	1	1	yes	characteristic, complemented
201	#4685	C₂²	1	1	yes	characteristic, complemented
202	#4685	C₂²	1	1	yes	characteristic, complemented
203	C₄×D₃×C₈	C₂²	1	1	yes	characteristic, complemented
204	#3475	—	3	1	no	—
205	#2995	—	3	1	no	—
206	#2995	—	3	1	no	—
207	#2994	—	3	1	no	—
208	#2993	—	3	1	no	—
209	#2992	—	3	1	no	—
210	#2992	—	3	1	no	—
211	#2990	—	3	1	no	—
212	#2989	—	3	1	no	—
213	#2987	D₃	1	1	yes	characteristic, complemented
214	#2985	—	3	1	no	—
215	#2978	—	3	1	no	—
216	#2977	—	3	1	no	—
217	#2976	—	3	1	no	—
218	#2976	—	3	1	no	—
219	#2974	—	3	1	no	—
220	#2973	—	3	1	no	—
221	#2970	—	3	1	no	—
222	#2969	—	3	1	no	—
223	#2968	—	3	1	no	—
224	#2968	—	3	1	no	—
225	#2967	—	3	1	no	—
226	#2967	—	3	1	no	—
227	#2966	—	3	1	no	—
228	#2965	—	3	1	no	—
229	#2925	—	3	1	no	—
230	#2924	—	3	1	no	—
231	#2924	—	3	1	no	—
232	#2923	—	3	1	no	—
233	#2921	—	3	1	no	—
234	C₂×#433	—	3	1	no	—
235	C₂×#239	C₂×C₄	1	1	yes	characteristic
236	C₂×#239	C₂×C₄	1	1	yes	characteristic
237	C₂×#235	C₂³	1	1	yes	characteristic
238	C₂²×D₁₂	C₂×C₄	1	1	yes	characteristic
239	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
240	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
241	C₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
242	C₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
243	C₃×#125	C₂×C₄	1	1	yes	characteristic
244	C₃×#125	C₂×C₄	1	1	yes	characteristic
245	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
246	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
247	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
248	C₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
249	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
250	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
251	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
252	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
253	C₃×#117	C₂³	1	1	yes	characteristic
254	C₃×#117	C₂³	1	1	yes	characteristic
255	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
256	#947	C₂×C₄	1	1	yes	characteristic
257	#947	C₂×C₄	1	1	yes	characteristic
258	#947	C₂×C₄	1	1	yes	characteristic
259	#947	C₂×C₄	1	1	yes	characteristic
260	#947	C₂×C₄	1	1	yes	characteristic
261	#947	C₂×C₄	1	1	yes	characteristic
262	#946	C₂×C₄	1	1	yes	characteristic
263	#946	C₂×C₄	1	1	yes	characteristic
264	#946	C₂×C₄	1	1	yes	characteristic
265	#946	C₂×C₄	1	1	yes	characteristic
266	#946	C₂×C₄	1	1	yes	characteristic
267	#946	C₂×C₄	1	1	yes	characteristic
268	Q₈×Dic₃	C₂×C₄	1	1	yes	characteristic
269	Q₈×Dic₃	C₂×C₄	1	1	yes	characteristic
270	C₄×#67	C₂×C₄	1	1	yes	characteristic
271	C₄×#67	C₂×C₄	1	1	yes	characteristic
272	C₄×#67	C₂×C₄	1	1	yes	characteristic
273	C₄×#67	C₂×C₄	1	1	yes	characteristic
274	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
275	C₂×(C₂×D₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
276	#926	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊Dic₃	C₂×C₄	1	1	yes	characteristic
278	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
279	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
280	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
281	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
282	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
283	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
284	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
285	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
286	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
287	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
288	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
289	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
290	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
291	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
292	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
293	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
294	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
295	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
296	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
297	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
298	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
299	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
300	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
301	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
302	#898	C₂×C₄	1	1	yes	characteristic
303	#898	C₂×C₄	1	1	yes	characteristic
304	#898	C₂×C₄	1	1	yes	characteristic
305	#898	C₂×C₄	1	1	yes	characteristic
306	#898	C₂×C₄	1	1	yes	characteristic
307	#898	C₂×C₄	1	1	yes	characteristic
308	#898	C₂×C₄	1	1	yes	characteristic
309	#898	C₂×C₄	1	1	yes	characteristic
310	#898	C₂×C₄	1	1	yes	characteristic
311	#898	C₂×C₄	1	1	yes	characteristic
312	#898	C₂×C₄	1	1	yes	characteristic
313	#898	C₂×C₄	1	1	yes	characteristic
314	#897	C₂×C₄	1	1	yes	characteristic
315	#897	C₂×C₄	1	1	yes	characteristic
316	#897	C₂×C₄	1	1	yes	characteristic
317	#897	C₂×C₄	1	1	yes	characteristic
318	#895	C₂×C₄	1	1	yes	characteristic
319	#895	C₂×C₄	1	1	yes	characteristic
320	#895	C₂×C₄	1	1	yes	characteristic
321	#895	C₂×C₄	1	1	yes	characteristic
322	#895	C₂×C₄	1	1	yes	characteristic
323	#895	C₂×C₄	1	1	yes	characteristic
324	#895	C₂×C₄	1	1	yes	characteristic
325	#895	C₂×C₄	1	1	yes	characteristic
326	#895	C₂×C₄	1	1	yes	characteristic
327	#895	C₂×C₄	1	1	yes	characteristic
328	#894	C₂×C₄	1	1	yes	characteristic
329	#894	C₂×C₄	1	1	yes	characteristic
330	#894	C₂×C₄	1	1	yes	characteristic
331	#894	C₂×C₄	1	1	yes	characteristic
332	#894	C₂×C₄	1	1	yes	characteristic
333	#894	C₂×C₄	1	1	yes	characteristic
334	#894	C₂×C₄	1	1	yes	characteristic
335	#894	C₂×C₄	1	1	yes	characteristic
336	#894	C₂×C₄	1	1	yes	characteristic
337	#894	C₂×C₄	1	1	yes	characteristic
338	#894	C₂×C₄	1	1	yes	characteristic
339	#894	C₂×C₄	1	1	yes	characteristic
340	#893	C₂×C₄	1	1	yes	characteristic
341	#893	C₂×C₄	1	1	yes	characteristic
342	#893	C₂×C₄	1	1	yes	characteristic
343	#893	C₂×C₄	1	1	yes	characteristic
344	#893	C₂×C₄	1	1	yes	characteristic
345	#893	C₂×C₄	1	1	yes	characteristic
346	#892	C₂×C₄	1	1	yes	characteristic
347	#892	C₂×C₄	1	1	yes	characteristic
348	#892	C₂×C₄	1	1	yes	characteristic
349	#892	C₂×C₄	1	1	yes	characteristic
350	#892	C₂×C₄	1	1	yes	characteristic
351	#892	C₂×C₄	1	1	yes	characteristic
352	#892	C₂×C₄	1	1	yes	characteristic
353	#892	C₂×C₄	1	1	yes	characteristic
354	#892	C₂×C₄	1	1	yes	characteristic
355	#892	C₂×C₄	1	1	yes	characteristic
356	D₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
357	D₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
358	D₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
359	D₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
360	#890	C₂×C₄	1	1	yes	characteristic
361	#890	C₂×C₄	1	1	yes	characteristic
362	#890	C₂×C₄	1	1	yes	characteristic
363	#890	C₂×C₄	1	1	yes	characteristic
364	#890	C₂×C₄	1	1	yes	characteristic
365	#890	C₂×C₄	1	1	yes	characteristic
366	#886	C₂×C₄	1	1	yes	characteristic
367	#886	C₂×C₄	1	1	yes	characteristic
368	#886	C₂×C₄	1	1	yes	characteristic
369	#886	C₂×C₄	1	1	yes	characteristic
370	#882	C₂×C₄	1	1	yes	characteristic
371	#882	C₂×C₄	1	1	yes	characteristic
372	#882	C₂×C₄	1	1	yes	characteristic
373	#882	C₂×C₄	1	1	yes	characteristic
374	D₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
375	D₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
376	D₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
377	D₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
378	#877	C₂×C₄	1	1	yes	characteristic
379	#877	C₂×C₄	1	1	yes	characteristic
380	#877	C₂×C₄	1	1	yes	characteristic
381	#877	C₂×C₄	1	1	yes	characteristic
382	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
383	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
384	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
385	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
386	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
387	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
388	C₄×D₁₂	C₂³	1	1	yes	characteristic
389	C₄×D₁₂	C₂³	1	1	yes	characteristic
390	C₄×D₁₂	C₂³	1	1	yes	characteristic
391	C₄×D₁₂	C₂³	1	1	yes	characteristic
392	C₄×D₁₂	C₂³	1	1	yes	characteristic
393	C₄×D₁₂	C₂³	1	1	yes	characteristic
394	C₄×D₁₂	C₂³	1	1	yes	characteristic
395	C₄×D₁₂	C₂³	1	1	yes	characteristic
396	C₄×D₁₂	C₂³	1	1	yes	characteristic
397	C₄×D₁₂	C₂³	1	1	yes	characteristic
398	C₄×D₁₂	C₂³	1	1	yes	characteristic
399	C₄×D₁₂	C₂³	1	1	yes	characteristic
400	#872	C₂³	1	1	yes	characteristic
401	#872	C₂³	1	1	yes	characteristic
402	#872	C₂³	1	1	yes	characteristic
403	#872	C₂³	1	1	yes	characteristic
404	#872	C₂³	1	1	yes	characteristic
405	#872	C₂³	1	1	yes	characteristic
406	C₄²×D₃	C₂³	1	1	yes	characteristic
407	C₄²×D₃	C₂³	1	1	yes	characteristic
408	C₄²×D₃	C₂³	1	1	yes	characteristic
409	C₄²×D₃	C₂³	1	1	yes	characteristic
410	C₄²×D₃	C₂³	1	1	yes	characteristic
411	C₄²×D₃	C₂³	1	1	yes	characteristic
412	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
413	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
414	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
415	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
416	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
417	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
418	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
419	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
420	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
421	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
422	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
425	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
426	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
427	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
428	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
429	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
430	C₃×#97	C₂³	1	1	yes	characteristic
431	C₃×#97	C₂³	1	1	yes	characteristic
432	C₃×#97	C₂³	1	1	yes	characteristic
433	C₃×#97	C₂³	1	1	yes	characteristic
434	C₃×#97	C₂³	1	1	yes	characteristic
435	C₃×#97	C₂³	1	1	yes	characteristic
436	C₃×#97	C₂³	1	1	yes	characteristic
437	C₃×#97	C₂³	1	1	yes	characteristic
438	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
439	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
440	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
441	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
442	#830	C₂³	1	1	yes	characteristic
443	#830	C₂³	1	1	yes	characteristic
444	#830	C₂³	1	1	yes	characteristic
445	#830	C₂³	1	1	yes	characteristic
446	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
447	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
448	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
449	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
450	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
451	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
452	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
453	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
454	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
455	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
456	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
457	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
458	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
459	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
460	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
461	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
462	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
463	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
464	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
465	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
466	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
467	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
468	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
469	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
470	#815	C₂³	1	1	yes	characteristic
471	#815	C₂³	1	1	yes	characteristic
472	#815	C₂³	1	1	yes	characteristic
473	#815	C₂³	1	1	yes	characteristic
474	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
475	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
476	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
477	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
478	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
479	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
480	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
481	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
482	C₈×Dic₃	C₂³	1	1	yes	characteristic
483	C₈×Dic₃	C₂³	1	1	yes	characteristic
484	C₈×Dic₃	C₂³	1	1	yes	characteristic
485	C₈×Dic₃	C₂³	1	1	yes	characteristic
486	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
487	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
488	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
489	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
490	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
491	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
492	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
493	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
494	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
495	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
496	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
497	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
498	#803	C₂³	1	1	yes	characteristic
499	#803	C₂³	1	1	yes	characteristic
500	#803	C₂³	1	1	yes	characteristic
501	#803	C₂³	1	1	yes	characteristic
502	#803	C₂³	1	1	yes	characteristic
503	#803	C₂³	1	1	yes	characteristic
504	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
505	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
506	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
507	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
508	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
509	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
510	#556	—	3	1	no	—
511	#555	—	3	1	no	—
512	#554	—	3	1	no	—
513	#553	—	3	1	no	—
514	#553	—	3	1	no	—
515	#552	—	3	1	no	—
516	#552	—	3	1	no	—
517	#552	—	3	1	no	—
518	#552	—	3	1	no	—
519	#551	—	3	1	no	—
520	#551	—	3	1	no	—
521	#551	—	3	1	no	—
522	#551	—	3	1	no	—
523	#547	—	3	1	no	—
524	#546	—	3	1	no	—
525	#546	—	3	1	no	—
526	#533	C₂×D₃	1	1	yes	characteristic
527	#529	—	3	1	no	—
528	#529	—	3	1	no	—
529	#529	—	3	1	no	—
530	#529	—	3	1	no	—
531	#529	—	3	1	no	—
532	#529	—	3	1	no	—
533	#525	—	3	1	no	—
534	#525	—	3	1	no	—
535	C₄×#41	—	3	1	no	—
536	C₄×#41	—	3	1	no	—
537	C₄×#41	—	3	1	no	—
538	C₂×C₄×D₄	—	3	1	no	—
539	C₂×#117	—	3	1	no	—
540	C₂×#117	—	3	1	no	—
541	#446	—	3	1	no	—
542	#446	—	3	1	no	—
543	#446	—	3	1	no	—
544	#446	—	3	1	no	—
545	#446	—	3	1	no	—
546	#446	—	3	1	no	—
547	#446	C₂×D₃	1	1	yes	characteristic, complemented
548	#446	C₂×D₃	1	1	yes	characteristic, complemented
549	#446	C₂×D₃	1	1	yes	characteristic, complemented
550	#446	C₂×D₃	1	1	yes	characteristic, complemented
551	#446	C₂×D₃	1	1	yes	characteristic, complemented
552	#446	C₂×D₃	1	1	yes	characteristic, complemented
553	#446	C₂×D₃	1	1	yes	characteristic, complemented
554	#446	C₂×D₃	1	1	yes	characteristic, complemented
555	C₈×Q₈	—	3	1	no	—
556	C₈×Q₈	—	3	1	no	—
557	#436	—	3	1	no	—
558	#436	—	3	1	no	—
559	#436	—	3	1	no	—
560	#436	—	3	1	no	—
561	#436	—	3	1	no	—
562	#436	—	3	1	no	—
563	#436	—	3	1	no	—
564	#436	—	3	1	no	—
565	#436	—	3	1	no	—
566	#436	—	3	1	no	—
567	#435	—	3	1	no	—
568	#435	—	3	1	no	—
569	#435	—	3	1	no	—
570	#435	—	3	1	no	—
571	#435	—	3	1	no	—
572	#435	—	3	1	no	—
573	#435	—	3	1	no	—
574	#435	—	3	1	no	—
575	#435	—	3	1	no	—
576	#435	—	3	1	no	—
577	#435	—	3	1	no	—
578	#435	—	3	1	no	—
579	#435	—	3	1	no	—
580	#435	—	3	1	no	—
581	#435	—	3	1	no	—
582	#435	—	3	1	no	—
583	#435	—	3	1	no	—
584	#435	—	3	1	no	—
585	#435	—	3	1	no	—
586	#435	—	3	1	no	—
587	#435	—	3	1	no	—
588	#435	—	3	1	no	—
589	#435	—	3	1	no	—
590	#435	—	3	1	no	—
591	#435	—	3	1	no	—
592	#435	—	3	1	no	—
593	#435	—	3	1	no	—
594	#435	—	3	1	no	—
595	C₈×D₄	—	3	1	no	—
596	C₈×D₄	—	3	1	no	—
597	C₈×D₄	—	3	1	no	—
598	C₈×D₄	—	3	1	no	—
599	C₈×D₄	—	3	1	no	—
600	C₈×D₄	—	3	1	no	—
601	C₈×D₄	—	3	1	no	—
602	C₈×D₄	—	3	1	no	—
603	C₈×D₄	—	3	1	no	—
604	C₈×D₄	—	3	1	no	—
605	#433	—	3	1	no	—
606	#433	—	3	1	no	—
607	#433	—	3	1	no	—
608	#433	—	3	1	no	—
609	#433	—	3	1	no	—
610	#433	—	3	1	no	—
611	#433	—	3	1	no	—
612	#433	—	3	1	no	—
613	#433	—	3	1	no	—
614	#433	—	3	1	no	—
615	#433	—	3	1	no	—
616	#433	—	3	1	no	—
617	#433	—	3	1	no	—
618	#433	—	3	1	no	—
619	#433	—	3	1	no	—
620	#433	—	3	1	no	—
621	#433	—	3	1	no	—
622	#433	—	3	1	no	—
623	#433	—	3	1	no	—
624	#433	—	3	1	no	—
625	#433	C₂×D₃	1	1	yes	characteristic
626	#433	C₂×D₃	1	1	yes	characteristic
627	#433	C₂×D₃	1	1	yes	characteristic
628	#433	C₂×D₃	1	1	yes	characteristic
629	#432	—	3	1	no	—
630	#432	—	3	1	no	—
631	#432	—	3	1	no	—
632	#432	—	3	1	no	—
633	#432	—	3	1	no	—
634	#432	—	3	1	no	—
635	#432	—	3	1	no	—
636	#432	—	3	1	no	—
637	#432	C₂×D₃	1	1	yes	characteristic
638	#432	C₂×D₃	1	1	yes	characteristic
639	#431	—	3	1	no	—
640	#431	—	3	1	no	—
641	#431	—	3	1	no	—
642	#431	—	3	1	no	—
643	#431	—	3	1	no	—
644	#431	—	3	1	no	—
645	#424	—	3	1	no	—
646	#424	—	3	1	no	—
647	#424	—	3	1	no	—
648	#424	—	3	1	no	—
649	#424	—	3	1	no	—
650	#424	—	3	1	no	—
651	#423	—	3	1	no	—
652	#423	—	3	1	no	—
653	#423	—	3	1	no	—
654	C₂×C₄⋊C₈	—	3	1	no	—
655	C₂×C₄⋊C₈	—	3	1	no	—
656	C₂×C₄⋊C₈	—	3	1	no	—
657	#408	—	3	1	no	—
658	#408	—	3	1	no	—
659	#408	—	3	1	no	—
660	#408	—	3	1	no	—
661	#407	—	3	1	no	—
662	#407	—	3	1	no	—
663	#407	—	3	1	no	—
664	#407	—	3	1	no	—
665	C₂×C₂²⋊C₈	—	3	1	no	—
666	C₂×C₂²⋊C₈	—	3	1	no	—
667	C₂×C₂²⋊C₈	—	3	1	no	—
668	C₂×C₂²⋊C₈	—	3	1	no	—
669	#405	—	3	1	no	—
670	#405	—	3	1	no	—
671	#405	—	3	1	no	—
672	#405	—	3	1	no	—
673	#405	—	3	1	no	—
674	#405	—	3	1	no	—
675	C₄×M₁₆	—	3	1	no	—
676	C₄×M₁₆	—	3	1	no	—
677	C₄×M₁₆	—	3	1	no	—
678	C₂×#97	—	3	1	no	—
679	C₂×#97	—	3	1	no	—
680	C₂×C₄×C₈	—	3	1	no	—
681	C₂³×D₃	C₂²×C₄	1	1	yes	characteristic
682	C₂³×D₃	C₂²×C₄	1	1	yes	characteristic
683	C₂×C₃×Q₈	C₂²×C₄	1	1	yes	characteristic
684	C₂×C₃×Q₈	C₂²×C₄	1	1	yes	characteristic
685	C₂×C₃×Q₈	C₂²×C₄	1	1	yes	characteristic
686	C₂×C₃×Q₈	C₂²×C₄	1	1	yes	characteristic
687	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
688	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
689	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
690	C₂×#67	C₂²×C₄	1	1	yes	characteristic
691	C₂×#67	C₂²×C₄	1	1	yes	characteristic
692	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
693	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
694	#239	—	4	2	no	—
695	#239	—	4	2	no	—
696	#235	—	4	1	no	—
697	#235	—	4	1	no	—
698	C₂×D₁₂	—	4	2	no	—
699	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
700	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
701	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
702	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
703	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
704	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
705	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
706	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
707	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
708	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
709	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
710	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
711	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
712	C₂×C₄×D₃	—	4	1	no	—
713	C₂×C₄×D₃	—	4	1	no	—
714	C₂×C₄×D₃	—	4	1	no	—
715	C₂×C₄×D₃	—	4	1	no	—
716	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
717	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
718	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
719	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
720	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
721	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
722	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
723	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
724	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
725	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
726	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
727	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
728	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
729	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
730	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
731	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
732	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
733	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
734	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
735	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
736	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
737	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
738	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
739	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
740	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
741	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
742	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
743	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
744	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
745	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
746	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
747	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
748	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
749	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
750	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
751	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
752	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
753	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
754	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
755	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
756	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
757	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
758	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
759	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
760	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
761	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
762	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
763	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
764	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
765	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
766	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
767	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
768	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
769	C₃×C₄²	C₂⁴	1	1	yes	characteristic
770	C₃×C₄²	C₂⁴	1	1	yes	characteristic
771	C₃×C₄²	C₂⁴	1	1	yes	characteristic
772	C₃×C₄²	C₂⁴	1	1	yes	characteristic
773	C₃×C₄²	C₂⁴	1	1	yes	characteristic
774	C₃×C₄²	C₂⁴	1	1	yes	characteristic
775	#217	C₂²×C₄	1	1	yes	characteristic
776	#217	C₂²×C₄	1	1	yes	characteristic
777	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
778	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
779	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
780	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
781	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
782	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
783	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
784	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
785	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
786	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
787	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
788	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
789	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
790	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
791	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
792	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
793	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
794	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
795	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
796	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
797	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
798	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
799	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
800	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
801	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
802	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
803	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
804	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
805	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
806	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
807	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
808	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
809	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
810	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
811	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
812	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
813	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
814	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
815	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
816	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
817	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
818	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
819	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
820	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
821	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
822	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
823	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
824	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
825	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
826	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
827	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
828	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
829	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
830	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
831	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
832	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
833	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
834	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
835	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
836	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
837	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
838	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
839	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
840	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
841	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
842	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
843	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
844	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
845	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
846	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
847	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
848	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
849	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
850	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
851	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
852	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
853	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
854	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
855	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
856	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
857	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
858	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
859	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
860	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
861	ΓL(1,𝔽₂₅)	—	4	1	no	—
862	ΓL(1,𝔽₂₅)	—	4	1	no	—
863	ΓL(1,𝔽₂₅)	—	4	1	no	—
864	ΓL(1,𝔽₂₅)	—	4	1	no	—
865	ΓL(1,𝔽₂₅)	—	4	1	no	—
866	ΓL(1,𝔽₂₅)	—	4	1	no	—
867	ΓL(1,𝔽₂₅)	—	4	1	no	—
868	ΓL(1,𝔽₂₅)	—	4	1	no	—
869	ΓL(1,𝔽₂₅)	—	4	1	no	—
870	ΓL(1,𝔽₂₅)	—	4	1	no	—
871	ΓL(1,𝔽₂₅)	—	4	1	no	—
872	ΓL(1,𝔽₂₅)	—	4	1	no	—
873	D₃×C₈	—	4	1	no	—
874	D₃×C₈	—	4	1	no	—
875	D₃×C₈	—	4	1	no	—
876	D₃×C₈	—	4	1	no	—
877	D₃×C₈	—	4	1	no	—
878	D₃×C₈	—	4	1	no	—
879	D₃×C₈	—	4	1	no	—
880	D₃×C₈	—	4	1	no	—
881	D₃×C₈	—	4	1	no	—
882	D₃×C₈	—	4	1	no	—
883	D₃×C₈	—	4	1	no	—
884	D₃×C₈	—	4	1	no	—
885	C₂×#41	—	3	1	no	—
886	C₂×#41	—	3	1	no	—
887	C₂×#41	—	3	1	no	—
888	C₂²×D₄	—	3	1	no	—
889	C₂³×C₄	—	3	1	no	—
890	C₂³×C₄	—	3	1	no	—
891	C₂×M₁₆	—	3	1	no	—
892	C₂×M₁₆	—	3	1	no	—
893	C₂×M₁₆	—	3	1	no	—
894	C₂×M₁₆	—	3	1	no	—
895	C₂×M₁₆	—	3	1	no	—
896	C₂×M₁₆	—	3	1	no	—
897	C₂×M₁₆	—	3	1	no	—
898	C₂×M₁₆	—	3	1	no	—
899	C₂×M₁₆	—	3	1	no	—
900	C₂×M₁₆	—	3	1	no	—
901	C₂×M₁₆	—	3	1	no	—
902	C₂×M₁₆	—	3	1	no	—
903	C₂²×C₈	—	3	1	no	—
904	C₂²×C₈	—	3	1	no	—
905	C₂²×C₈	—	3	1	no	—
906	C₂²×C₈	—	3	1	no	—
907	C₂²×C₈	—	3	1	no	—
908	C₂²×C₈	—	3	1	no	—
909	C₂²×C₈	—	3	1	no	—
910	C₂²×C₈	—	3	1	no	—
911	C₂²×C₈	—	3	1	no	—
912	C₂²×C₈	—	3	1	no	—
913	C₂²×C₈	—	3	1	no	—
914	C₂²×C₈	—	3	1	no	—
915	C₄⋊Q₈	C₄×D₃	1	1	yes	characteristic
916	C₄⋊Q₈	C₄×D₃	1	1	yes	characteristic
917	#126	—	3	1	no	—
918	#126	—	3	1	no	—
919	#126	—	3	1	no	—
920	#126	—	3	1	no	—
921	#126	—	3	1	no	—
922	#126	—	3	1	no	—
923	#126	—	3	1	no	—
924	#126	—	3	1	no	—
925	#126	—	3	1	no	—
926	#126	—	3	1	no	—
927	#126	—	3	1	no	—
928	#126	—	3	1	no	—
929	#125	—	3	1	no	—
930	#125	—	3	1	no	—
931	#125	—	3	1	no	—
932	#125	—	3	1	no	—
933	#125	—	3	1	no	—
934	#125	—	3	1	no	—
935	#125	C₄×D₃	1	1	yes	characteristic
936	#125	C₄×D₃	1	1	yes	characteristic
937	#124	—	3	1	no	—
938	#124	—	3	1	no	—
939	#124	—	3	1	no	—
940	#124	—	3	1	no	—
941	#124	—	3	1	no	—
942	#124	—	3	1	no	—
943	#123	—	3	1	no	—
944	#123	—	3	1	no	—
945	#123	—	3	1	no	—
946	#123	—	3	1	no	—
947	#123	—	3	1	no	—
948	#123	—	3	1	no	—
949	#123	—	3	1	no	—
950	#123	—	3	1	no	—
951	#123	—	3	1	no	—
952	#123	—	3	1	no	—
953	#123	—	3	1	no	—
954	#123	—	3	1	no	—
955	#123	—	3	1	no	—
956	#123	—	3	1	no	—
957	#123	—	3	1	no	—
958	#123	—	3	1	no	—
959	C₂²⋊Q₈	—	3	1	no	—
960	C₂²⋊Q₈	—	3	1	no	—
961	C₂²⋊Q₈	—	3	1	no	—
962	C₂²⋊Q₈	—	3	1	no	—
963	C₂²⋊Q₈	—	3	1	no	—
964	C₂²⋊Q₈	—	3	1	no	—
965	C₂²⋊Q₈	—	3	1	no	—
966	C₂²⋊Q₈	—	3	1	no	—
967	C₂²⋊Q₈	—	3	1	no	—
968	C₂²⋊Q₈	—	3	1	no	—
969	C₂²⋊Q₈	C₄×D₃	1	1	yes	characteristic
970	C₂²⋊Q₈	C₄×D₃	1	1	yes	characteristic
971	C₂²⋊Q₈	C₄×D₃	1	1	yes	characteristic
972	C₂²⋊Q₈	C₄×D₃	1	1	yes	characteristic
973	#121	—	3	1	no	—
974	#121	—	3	1	no	—
975	#121	—	3	1	no	—
976	#121	—	3	1	no	—
977	#121	—	3	1	no	—
978	#121	—	3	1	no	—
979	#121	—	3	1	no	—
980	#121	—	3	1	no	—
981	#121	—	3	1	no	—
982	#121	—	3	1	no	—
983	#120	—	3	1	no	—
984	#120	—	3	1	no	—
985	#120	—	3	1	no	—
986	#120	—	3	1	no	—
987	C₄×Q₈	—	3	1	no	—
988	C₄×Q₈	—	3	1	no	—
989	C₄×Q₈	—	3	1	no	—
990	C₄×Q₈	—	3	1	no	—
991	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
992	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
993	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
994	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
995	C₄×D₄	—	3	1	no	—
996	C₄×D₄	—	3	1	no	—
997	C₄×D₄	—	3	1	no	—
998	C₄×D₄	—	3	1	no	—
999	C₄×D₄	—	3	1	no	—
1000	C₄×D₄	—	3	1	no	—
1001	C₄×D₄	—	3	1	no	—
1002	C₄×D₄	—	3	1	no	—
1003	C₄×D₄	—	3	1	no	—
1004	C₄×D₄	—	3	1	no	—
1005	C₄×D₄	—	3	1	no	—
1006	C₄×D₄	—	3	1	no	—
1007	C₄×D₄	—	3	1	no	—
1008	C₄×D₄	—	3	1	no	—
1009	C₄×D₄	—	3	1	no	—
1010	C₄×D₄	—	3	1	no	—
1011	C₄×D₄	—	3	1	no	—
1012	C₄×D₄	—	3	1	no	—
1013	C₄×D₄	—	3	1	no	—
1014	C₄×D₄	—	3	1	no	—
1015	C₄×D₄	—	3	1	no	—
1016	C₄×D₄	—	3	1	no	—
1017	C₄×D₄	—	3	1	no	—
1018	C₄×D₄	—	3	1	no	—
1019	C₄×D₄	—	3	1	no	—
1020	C₄×D₄	—	3	1	no	—
1021	C₄×D₄	—	3	1	no	—
1022	C₄×D₄	—	3	1	no	—
1023	#117	—	3	1	no	—
1024	#117	—	3	1	no	—
1025	#117	—	3	1	no	—
1026	#117	—	3	1	no	—
1027	#117	—	3	1	no	—
1028	#117	—	3	1	no	—
1029	#117	—	3	1	no	—
1030	#117	—	3	1	no	—
1031	#117	—	3	1	no	—
1032	#117	—	3	1	no	—
1033	#117	—	3	1	no	—
1034	#117	—	3	1	no	—
1035	#117	—	3	1	no	—
1036	#117	—	3	1	no	—
1037	#117	—	3	1	no	—
1038	#117	—	3	1	no	—
1039	#117	—	3	1	no	—
1040	#117	—	3	1	no	—
1041	#117	—	3	1	no	—
1042	#117	—	3	1	no	—
1043	#117	—	3	1	no	—
1044	#117	C₂²×D₃	1	1	yes	characteristic
1045	#117	C₂²×D₃	1	1	yes	characteristic
1046	C₂×C₄⋊C₄	—	3	1	no	—
1047	C₂×C₄⋊C₄	—	3	1	no	—
1048	C₂×C₄⋊C₄	—	3	1	no	—
1049	C₂×C₄⋊C₄	—	3	1	no	—
1050	C₂×C₄⋊C₄	—	3	1	no	—
1051	C₂×C₂²⋊C₄	—	3	1	no	—
1052	C₂×C₂²⋊C₄	—	3	1	no	—
1053	C₂×C₂²⋊C₄	—	3	1	no	—
1054	C₂×C₂²⋊C₄	—	3	1	no	—
1055	C₂×C₂²⋊C₄	—	3	1	no	—
1056	C₂×C₂²⋊C₄	—	3	1	no	—
1057	C₂×C₄²	—	3	1	no	—
1058	C₂×C₄²	—	3	1	no	—
1059	C₂×C₄²	—	3	1	no	—
1060	C₂×C₄²	—	3	1	no	—
1061	C₂×C₄²	—	3	1	no	—
1062	C₂×C₄²	—	3	1	no	—
1063	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
1064	C₄⋊C₈	—	3	1	no	—
1065	C₄⋊C₈	—	3	1	no	—
1066	C₄⋊C₈	—	3	1	no	—
1067	C₄⋊C₈	—	3	1	no	—
1068	C₄⋊C₈	—	3	1	no	—
1069	C₄⋊C₈	—	3	1	no	—
1070	C₄⋊C₈	—	3	1	no	—
1071	C₄⋊C₈	—	3	1	no	—
1072	C₄⋊C₈	—	3	1	no	—
1073	C₄⋊C₈	—	3	1	no	—
1074	C₄⋊C₈	—	3	1	no	—
1075	C₄⋊C₈	—	3	1	no	—
1076	C₄⋊C₈	—	3	1	no	—
1077	C₄⋊C₈	—	3	1	no	—
1078	C₄⋊C₈	—	3	1	no	—
1079	C₄⋊C₈	—	3	1	no	—
1080	C₄⋊C₈	—	3	1	no	—
1081	C₄⋊C₈	—	3	1	no	—
1082	C₄⋊C₈	—	3	1	no	—
1083	C₄⋊C₈	—	3	1	no	—
1084	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1085	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1086	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1087	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1088	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1089	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1090	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1091	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1092	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1093	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1094	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1095	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1096	C₂²⋊C₈	—	3	1	no	—
1097	C₂²⋊C₈	—	3	1	no	—
1098	C₂²⋊C₈	—	3	1	no	—
1099	C₂²⋊C₈	—	3	1	no	—
1100	C₂²⋊C₈	—	3	1	no	—
1101	C₂²⋊C₈	—	3	1	no	—
1102	C₂²⋊C₈	—	3	1	no	—
1103	C₂²⋊C₈	—	3	1	no	—
1104	C₂²⋊C₈	—	3	1	no	—
1105	C₂²⋊C₈	—	3	1	no	—
1106	C₂²⋊C₈	—	3	1	no	—
1107	C₂²⋊C₈	—	3	1	no	—
1108	C₂²⋊C₈	—	3	1	no	—
1109	C₂²⋊C₈	—	3	1	no	—
1110	C₂²⋊C₈	—	3	1	no	—
1111	C₂²⋊C₈	—	3	1	no	—
1112	C₂²⋊C₈	—	3	1	no	—
1113	C₂²⋊C₈	—	3	1	no	—
1114	C₂²⋊C₈	—	3	1	no	—
1115	C₂²⋊C₈	—	3	1	no	—
1116	C₂²⋊C₈	—	3	1	no	—
1117	C₂²⋊C₈	—	3	1	no	—
1118	C₂²⋊C₈	—	3	1	no	—
1119	C₂²⋊C₈	—	3	1	no	—
1120	C₂²⋊C₈	—	3	1	no	—
1121	C₂²⋊C₈	—	3	1	no	—
1122	C₂²⋊C₈	—	3	1	no	—
1123	C₂²⋊C₈	—	3	1	no	—
1124	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1125	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1126	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1127	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1128	#97	—	3	1	no	—
1129	#97	—	3	1	no	—
1130	#97	—	3	1	no	—
1131	#97	—	3	1	no	—
1132	#97	—	3	1	no	—
1133	#97	—	3	1	no	—
1134	#97	—	3	1	no	—
1135	#97	—	3	1	no	—
1136	#97	—	3	1	no	—
1137	#97	—	3	1	no	—
1138	#97	C₂²×D₃	1	1	yes	characteristic
1139	#97	C₂²×D₃	1	1	yes	characteristic
1140	#97	C₂²×D₃	1	1	yes	characteristic
1141	#97	C₂²×D₃	1	1	yes	characteristic
1142	#97	C₂²×D₃	1	1	yes	characteristic
1143	#97	C₂²×D₃	1	1	yes	characteristic
1144	#97	C₂²×D₃	1	1	yes	characteristic
1145	#97	C₂²×D₃	1	1	yes	characteristic
1146	C₄×C₈	—	3	1	no	—
1147	C₄×C₈	—	3	1	no	—
1148	C₄×C₈	—	3	1	no	—
1149	C₄×C₈	—	3	1	no	—
1150	C₄×C₈	—	3	1	no	—
1151	C₄×C₈	—	3	1	no	—
1152	C₄×C₈	—	3	1	no	—
1153	C₄×C₈	—	3	1	no	—
1154	C₄×C₈	—	3	1	no	—
1155	C₄×C₈	—	3	1	no	—
1156	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1157	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1158	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1159	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1160	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1161	C₂²×D₃	—	2	2	no	—
1162	C₂²×D₃	—	4	1	no	—
1163	C₂²×D₃	—	4	1	no	—
1164	C₂²×D₃	—	4	1	no	—
1165	C₂²×D₃	—	4	1	no	—
1166	C₂²×D₃	—	4	1	no	—
1167	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1168	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1169	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1170	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1171	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1172	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1173	C₃×Q₈	—	4	1	no	—
1174	C₃×Q₈	—	4	1	no	—
1175	C₃×Q₈	—	4	1	no	—
1176	C₃×Q₈	—	4	1	no	—
1177	C₂×C₃×C₄	—	2	1	no	—
1178	C₂×C₃×C₄	—	2	1	no	—
1179	C₂×C₃×C₄	—	4	1	no	—
1180	C₂×C₃×C₄	—	4	1	no	—
1181	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1182	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1183	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1184	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1185	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1186	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1187	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1188	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1189	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1190	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1191	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1192	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1193	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1194	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1195	#67	—	4	1	no	—
1196	#67	—	4	1	no	—
1197	C₂×Dic₃	—	4	1	no	—
1198	C₂×Dic₃	—	4	1	no	—
1199	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1200	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1201	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1202	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1203	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1204	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1205	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1206	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1207	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1208	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1209	D₁₂	—	2	2	no	—
1210	D₁₂	—	2	2	no	—
1211	D₁₂	—	2	2	no	—
1212	D₁₂	—	2	2	no	—
1213	D₁₂	—	4	1	no	—
1214	D₁₂	—	4	1	no	—
1215	D₁₂	—	4	1	no	—
1216	D₁₂	—	4	1	no	—
1217	D₁₂	—	4	1	no	—
1218	D₁₂	—	4	1	no	—
1219	D₁₂	—	4	1	no	—
1220	D₁₂	—	4	1	no	—
1221	D₁₂	—	4	1	no	—
1222	C₄×D₃	—	2	2	no	—
1223	C₄×D₃	—	2	2	no	—
1224	C₄×D₃	—	2	1	no	—
1225	C₄×D₃	—	2	1	no	—
1226	C₄×D₃	—	2	1	no	—
1227	C₄×D₃	—	2	1	no	—
1228	C₄×D₃	—	2	1	no	—
1229	C₄×D₃	—	2	1	no	—
1230	C₄×D₃	—	2	1	no	—
1231	C₄×D₃	—	2	1	no	—
1232	C₄×D₃	—	2	1	no	—
1233	C₄×D₃	—	2	1	no	—
1234	C₄×D₃	—	2	1	no	—
1235	C₄×D₃	—	2	1	no	—
1236	C₄×D₃	—	4	1	no	—
1237	C₄×D₃	—	4	1	no	—
1238	C₄×D₃	—	4	1	no	—
1239	C₄×D₃	—	4	1	no	—
1240	C₄×D₃	—	4	1	no	—
1241	C₄×D₃	—	4	1	no	—
1242	C₄×D₃	—	4	1	no	—
1243	C₄×D₃	—	4	1	no	—
1244	C₄×D₃	—	4	1	no	—
1245	C₄×D₃	—	4	1	no	—
1246	C₄×D₃	—	4	1	no	—
1247	C₄×D₃	—	4	1	no	—
1248	C₄×D₃	—	4	1	no	—
1249	C₄×D₃	—	4	1	no	—
1250	Dic₆	—	4	1	no	—
1251	C₃×C₈	—	2	1	no	—
1252	C₃×C₈	—	2	1	no	—
1253	C₃×C₈	—	2	1	no	—
1254	C₃×C₈	—	2	1	no	—
1255	C₃×C₈	—	2	1	no	—
1256	C₃×C₈	—	2	1	no	—
1257	C₃×C₈	—	2	1	no	—
1258	C₃×C₈	—	2	1	no	—
1259	C₃⋊C₈	—	2	1	no	—
1260	C₃⋊C₈	—	2	1	no	—
1261	C₃⋊C₈	—	2	1	no	—
1262	C₃⋊C₈	—	2	1	no	—
1263	C₃⋊C₈	—	2	1	no	—
1264	C₃⋊C₈	—	2	1	no	—
1265	C₃⋊C₈	—	2	1	no	—
1266	C₃⋊C₈	—	2	1	no	—
1267	C₂⁴	—	3	1	no	—
1268	C₂⁴	—	3	1	no	—
1269	#41	—	12	1	no	—
1270	#41	—	12	1	no	—
1271	#41	—	12	2	no	—
1272	#41	—	12	2	no	—
1273	C₂×Q₈	—	3	1	no	—
1274	C₂×Q₈	C₂×C₄×D₃	1	1	yes	characteristic
1275	C₂×Q₈	C₂×C₄×D₃	1	1	yes	characteristic
1276	C₂×Q₈	C₂×C₄×D₃	1	1	yes	characteristic
1277	C₂×Q₈	C₂×C₄×D₃	1	1	yes	characteristic
1278	C₂×D₄	—	3	1	no	—
1279	C₂×D₄	—	3	1	no	—
1280	C₂×D₄	—	3	1	no	—
1281	C₂×D₄	—	3	1	no	—
1282	C₂×D₄	—	3	1	no	—
1283	C₂×D₄	—	3	1	no	—
1284	C₂×D₄	—	3	1	no	—
1285	C₂×D₄	—	3	1	no	—
1286	C₂×D₄	—	3	1	no	—
1287	C₂×D₄	—	3	1	no	—
1288	C₂×D₄	—	3	1	no	—
1289	C₂×D₄	—	3	1	no	—
1290	C₂×D₄	—	3	1	no	—
1291	C₂×D₄	—	3	1	no	—
1292	C₂×D₄	—	3	1	no	—
1293	C₂×D₄	—	12	2	no	—
1294	C₂²×C₄	—	3	1	no	—
1295	C₂²×C₄	—	3	1	no	—
1296	C₂²×C₄	—	3	1	no	—
1297	C₂²×C₄	—	3	1	no	—
1298	C₂²×C₄	—	3	1	no	—
1299	C₂²×C₄	—	3	1	no	—
1300	C₂²×C₄	—	3	1	no	—
1301	C₂²×C₄	—	3	1	no	—
1302	C₂²×C₄	—	3	1	no	—
1303	C₂²×C₄	—	3	1	no	—
1304	C₂²×C₄	—	3	1	no	—
1305	C₂²×C₄	—	3	1	no	—
1306	C₂²×C₄	—	3	1	no	—
1307	C₂²×C₄	—	3	1	no	—
1308	C₂²×C₄	—	3	1	no	—
1309	C₂²×C₄	—	3	1	no	—
1310	C₂²×C₄	—	3	1	no	—
1311	C₂²×C₄	—	3	1	no	—
1312	C₂²×C₄	—	3	1	no	—
1313	C₂²×C₄	—	3	1	no	—
1314	C₂²×C₄	—	3	1	no	—
1315	C₂²×C₄	—	3	1	no	—
1316	C₂²×C₄	—	3	1	no	—
1317	C₂²×C₄	—	3	1	no	—
1318	C₂²×C₄	—	12	1	no	—
1319	C₂²×C₄	—	12	1	no	—
1320	C₂²×C₄	—	12	1	no	—
1321	C₂²×C₄	—	12	1	no	—
1322	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1323	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1324	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1325	M₁₆	—	12	1	no	—
1326	M₁₆	—	12	1	no	—
1327	M₁₆	—	12	1	no	—
1328	M₁₆	—	12	1	no	—
1329	M₁₆	—	12	1	no	—
1330	M₁₆	—	12	1	no	—
1331	M₁₆	—	12	1	no	—
1332	M₁₆	—	12	1	no	—
1333	M₁₆	—	12	1	no	—
1334	M₁₆	—	12	1	no	—
1335	M₁₆	—	12	1	no	—
1336	M₁₆	—	12	1	no	—
1337	C₂×C₈	—	3	1	no	—
1338	C₂×C₈	—	3	1	no	—
1339	C₂×C₈	—	3	1	no	—
1340	C₂×C₈	—	3	1	no	—
1341	C₂×C₈	—	3	1	no	—
1342	C₂×C₈	—	3	1	no	—
1343	C₂×C₈	—	3	1	no	—
1344	C₂×C₈	—	3	1	no	—
1345	C₂×C₈	—	12	1	no	—
1346	C₂×C₈	—	12	1	no	—
1347	C₂×C₈	—	12	1	no	—
1348	C₂×C₈	—	12	1	no	—
1349	C₂×C₈	—	12	1	no	—
1350	C₂×C₈	—	12	1	no	—
1351	C₂×C₈	—	12	1	no	—
1352	C₂×C₈	—	12	1	no	—
1353	C₂×C₈	—	12	1	no	—
1354	C₂×C₈	—	12	1	no	—
1355	C₂×C₈	—	12	1	no	—
1356	C₂×C₈	—	12	1	no	—
1357	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1358	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1359	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1360	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1361	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1362	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1363	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1364	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1365	C₄⋊C₄	—	3	1	no	—
1366	C₄⋊C₄	—	3	1	no	—
1367	C₄⋊C₄	—	3	1	no	—
1368	C₄⋊C₄	—	3	1	no	—
1369	C₄⋊C₄	—	3	1	no	—
1370	C₄⋊C₄	—	3	1	no	—
1371	C₄⋊C₄	—	3	1	no	—
1372	C₄⋊C₄	—	3	1	no	—
1373	C₄⋊C₄	—	3	1	no	—
1374	C₄⋊C₄	—	3	1	no	—
1375	C₄⋊C₄	—	3	1	no	—
1376	C₄⋊C₄	—	3	1	no	—
1377	C₄⋊C₄	—	3	1	no	—
1378	C₄⋊C₄	—	3	1	no	—
1379	C₄⋊C₄	—	3	1	no	—
1380	C₄⋊C₄	—	3	1	no	—
1381	C₄⋊C₄	—	3	1	no	—
1382	C₄⋊C₄	—	3	1	no	—
1383	C₄⋊C₄	—	3	1	no	—
1384	C₄⋊C₄	—	3	1	no	—
1385	C₄⋊C₄	—	3	1	no	—
1386	C₄⋊C₄	—	3	1	no	—
1387	C₄⋊C₄	—	3	1	no	—
1388	C₄⋊C₄	—	3	1	no	—
1389	C₄⋊C₄	—	3	1	no	—
1390	C₄⋊C₄	—	3	1	no	—
1391	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1392	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1393	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1394	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1395	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1396	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1397	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1398	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1399	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1400	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1401	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1402	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1403	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1404	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1405	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1406	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1407	C₂²⋊C₄	—	3	1	no	—
1408	C₂²⋊C₄	—	3	1	no	—
1409	C₂²⋊C₄	—	3	1	no	—
1410	C₂²⋊C₄	—	3	1	no	—
1411	C₂²⋊C₄	—	3	1	no	—
1412	C₂²⋊C₄	—	3	1	no	—
1413	C₂²⋊C₄	—	3	1	no	—
1414	C₂²⋊C₄	—	3	1	no	—
1415	C₂²⋊C₄	—	3	1	no	—
1416	C₂²⋊C₄	—	3	1	no	—
1417	C₂²⋊C₄	—	3	1	no	—
1418	C₂²⋊C₄	—	3	1	no	—
1419	C₂²⋊C₄	—	3	1	no	—
1420	C₂²⋊C₄	—	3	1	no	—
1421	C₂²⋊C₄	—	3	1	no	—
1422	C₂²⋊C₄	—	3	1	no	—
1423	C₂²⋊C₄	—	3	1	no	—
1424	C₂²⋊C₄	—	3	1	no	—
1425	C₂²⋊C₄	—	3	1	no	—
1426	C₂²⋊C₄	—	3	1	no	—
1427	C₂²⋊C₄	—	3	1	no	—
1428	C₂²⋊C₄	—	3	1	no	—
1429	C₂²⋊C₄	—	3	1	no	—
1430	C₂²⋊C₄	—	3	1	no	—
1431	C₂²⋊C₄	—	3	1	no	—
1432	C₂²⋊C₄	—	3	1	no	—
1433	C₂²⋊C₄	—	3	1	no	—
1434	C₂²⋊C₄	—	3	1	no	—
1435	C₂²⋊C₄	—	3	1	no	—
1436	C₂²⋊C₄	—	3	1	no	—
1437	C₂²⋊C₄	—	3	1	no	—
1438	C₂²⋊C₄	—	3	1	no	—
1439	C₂²⋊C₄	—	3	1	no	—
1440	C₂²⋊C₄	—	3	1	no	—
1441	C₂²⋊C₄	—	3	1	no	—
1442	C₂²⋊C₄	—	3	1	no	—
1443	C₂²⋊C₄	—	3	1	no	—
1444	C₂²⋊C₄	—	3	1	no	—
1445	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1446	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1447	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1448	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1449	C₄²	—	3	1	no	—
1450	C₄²	—	3	1	no	—
1451	C₄²	—	3	1	no	—
1452	C₄²	—	3	1	no	—
1453	C₄²	—	3	1	no	—
1454	C₄²	—	3	1	no	—
1455	C₄²	—	3	1	no	—
1456	C₄²	—	3	1	no	—
1457	C₄²	—	3	1	no	—
1458	C₄²	—	3	1	no	—
1459	C₄²	—	3	1	no	—
1460	C₄²	—	3	1	no	—
1461	C₄²	—	3	1	no	—
1462	C₄²	—	3	1	no	—
1463	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1464	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1465	C₄²	C₂³×D₃	1	1	yes	characteristic
1466	C₄²	C₂³×D₃	1	1	yes	characteristic
1467	C₄²	C₂³×D₃	1	1	yes	characteristic
1468	C₄²	C₂³×D₃	1	1	yes	characteristic
1469	C₄²	C₂³×D₃	1	1	yes	characteristic
1470	C₄²	C₂³×D₃	1	1	yes	characteristic
1471	C₂²×C₃	—	2	1	no	—
1472	C₂²×C₃	—	2	1	no	—
1473	C₂²×C₃	—	2	1	no	—
1474	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1475	C₂×D₃	—	2	1	no	—
1476	C₂×D₃	—	2	1	no	—
1477	C₂×D₃	—	2	1	no	—
1478	C₂×D₃	—	2	1	no	—
1479	C₂×D₃	—	2	1	no	—
1480	C₂×D₃	—	2	1	no	—
1481	C₂×D₃	—	2	1	no	—
1482	C₂×D₃	—	2	1	no	—
1483	C₂×D₃	—	2	1	no	—
1484	C₂×D₃	—	2	1	no	—
1485	C₂×D₃	—	2	1	no	—
1486	C₂×D₃	—	2	1	no	—
1487	C₂×D₃	—	2	1	no	—
1488	C₂×D₃	—	2	1	no	—
1489	C₂×D₃	—	2	1	no	—
1490	C₂×D₃	—	2	1	no	—
1491	C₂×D₃	—	2	1	no	—
1492	C₂×D₃	—	8	2	no	—
1493	C₂×D₃	—	8	2	no	—
1494	C₂×D₃	#568	1	2	yes	—
1495	C₃×C₄	—	2	1	no	—
1496	C₃×C₄	—	2	1	no	—
1497	C₃×C₄	—	2	1	no	—
1498	C₃×C₄	—	2	1	no	—
1499	C₃×C₄	—	2	1	no	—
1500	C₃×C₄	—	2	1	no	—
1501	C₃×C₄	—	2	1	no	—
1502	C₃×C₄	—	2	1	no	—
1503	C₃×C₄	—	2	1	no	—
1504	C₃×C₄	—	2	1	no	—
1505	C₃×C₄	—	2	1	no	—
1506	C₃×C₄	—	2	1	no	—
1507	C₃×C₄	—	2	1	no	—
1508	C₃×C₄	#585	1	1	yes	characteristic
1509	C₃×C₄	#585	1	1	yes	characteristic
1510	Dic₃	—	2	1	no	—
1511	Dic₃	—	2	1	no	—
1512	Dic₃	—	2	1	no	—
1513	Dic₃	—	2	1	no	—
1514	Dic₃	—	2	1	no	—
1515	Dic₃	—	2	1	no	—
1516	Dic₃	—	2	1	no	—
1517	Dic₃	—	2	1	no	—
1518	Dic₃	—	2	1	no	—
1519	Dic₃	—	2	1	no	—
1520	C₂³	—	3	1	no	—
1521	C₂³	—	3	1	no	—
1522	C₂³	—	3	1	no	—
1523	C₂³	—	3	1	no	—
1524	C₂³	—	3	1	no	—
1525	C₂³	—	3	1	no	—
1526	C₂³	—	6	2	no	—
1527	C₂³	—	12	1	no	—
1528	C₂³	—	12	1	no	—
1529	C₂³	—	12	1	no	—
1530	C₂³	—	12	1	no	—
1531	C₂³	—	12	1	no	—
1532	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1533	Q₈	—	4	1	no	—
1534	Q₈	—	4	1	no	—
1535	Q₈	—	4	1	no	—
1536	Q₈	—	4	1	no	—
1537	Q₈	—	12	1	no	—
1538	D₄	—	6	2	no	—
1539	D₄	—	6	2	no	—
1540	D₄	—	6	2	no	—
1541	D₄	—	6	2	no	—
1542	D₄	—	12	1	no	—
1543	D₄	—	12	1	no	—
1544	D₄	—	12	1	no	—
1545	D₄	—	12	1	no	—
1546	D₄	—	12	1	no	—
1547	D₄	—	12	1	no	—
1548	D₄	—	12	1	no	—
1549	D₄	—	12	1	no	—
1550	D₄	—	12	1	no	—
1551	D₄	—	12	1	no	—
1552	D₄	—	12	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	3	1	no	—
1556	C₂×C₄	—	3	1	no	—
1557	C₂×C₄	—	3	1	no	—
1558	C₂×C₄	—	3	1	no	—
1559	C₂×C₄	—	3	1	no	—
1560	C₂×C₄	—	3	1	no	—
1561	C₂×C₄	—	3	1	no	—
1562	C₂×C₄	—	3	1	no	—
1563	C₂×C₄	—	3	1	no	—
1564	C₂×C₄	—	3	1	no	—
1565	C₂×C₄	—	4	1	no	—
1566	C₂×C₄	—	4	1	no	—
1567	C₂×C₄	—	6	2	no	—
1568	C₂×C₄	—	6	2	no	—
1569	C₂×C₄	—	6	1	no	—
1570	C₂×C₄	—	6	1	no	—
1571	C₂×C₄	—	6	1	no	—
1572	C₂×C₄	—	6	1	no	—
1573	C₂×C₄	—	6	1	no	—
1574	C₂×C₄	—	6	1	no	—
1575	C₂×C₄	—	6	1	no	—
1576	C₂×C₄	—	6	1	no	—
1577	C₂×C₄	—	6	1	no	—
1578	C₂×C₄	—	6	1	no	—
1579	C₂×C₄	—	6	1	no	—
1580	C₂×C₄	—	6	1	no	—
1581	C₂×C₄	—	12	1	no	—
1582	C₂×C₄	—	12	1	no	—
1583	C₂×C₄	—	12	1	no	—
1584	C₂×C₄	—	12	1	no	—
1585	C₂×C₄	—	12	1	no	—
1586	C₂×C₄	—	12	1	no	—
1587	C₂×C₄	—	12	1	no	—
1588	C₂×C₄	—	12	1	no	—
1589	C₂×C₄	—	12	1	no	—
1590	C₂×C₄	—	12	1	no	—
1591	C₂×C₄	—	12	1	no	—
1592	C₂×C₄	—	12	1	no	—
1593	C₂×C₄	—	12	1	no	—
1594	C₂×C₄	—	12	1	no	—
1595	C₂×C₄	—	12	1	no	—
1596	C₂×C₄	—	12	1	no	—
1597	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1598	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1599	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1600	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1601	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1602	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1603	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1604	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1605	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1606	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1607	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1608	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1609	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1610	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1611	C₈	—	2	1	no	—
1612	C₈	—	2	1	no	—
1613	C₈	—	2	1	no	—
1614	C₈	—	2	1	no	—
1615	C₈	—	2	1	no	—
1616	C₈	—	2	1	no	—
1617	C₈	—	2	1	no	—
1618	C₈	—	2	1	no	—
1619	C₈	—	6	1	no	—
1620	C₈	—	6	1	no	—
1621	C₈	—	6	1	no	—
1622	C₈	—	6	1	no	—
1623	C₈	—	6	1	no	—
1624	C₈	—	6	1	no	—
1625	C₈	—	6	1	no	—
1626	C₈	—	6	1	no	—
1627	C₂×C₃	—	4	1	no	—
1628	C₂×C₃	#3428	1	1	yes	characteristic
1629	C₂×C₃	C₂×#568	1	1	yes	characteristic
1630	C₂×C₃	#3573	1	1	yes	characteristic
1631	D₃	—	2	2	no	—
1632	D₃	—	4	1	no	—
1633	D₃	—	4	1	no	—
1634	D₃	—	4	1	no	—
1635	D₃	—	4	1	no	—
1636	D₃	—	4	1	no	—
1637	C₂²	—	2	1	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	3	2	no	—
1641	C₂²	—	6	1	no	—
1642	C₂²	—	6	1	no	—
1643	C₂²	—	6	1	no	—
1644	C₂²	—	6	1	no	—
1645	C₂²	—	6	1	no	—
1646	C₂²	—	6	1	no	—
1647	C₂²	—	6	1	no	—
1648	C₂²	—	6	1	no	—
1649	C₂²	—	6	1	no	—
1650	C₂²	—	6	1	no	—
1651	C₂²	—	6	1	no	—
1652	C₂²	—	6	1	no	—
1653	C₂²	—	6	1	no	—
1654	C₂²	—	6	1	no	—
1655	C₂²	—	6	1	no	—
1656	C₂²	—	6	1	no	—
1657	C₂²	—	6	1	no	—
1658	C₂²	—	24	2	no	—
1659	C₂²	—	24	2	no	—
1660	C₂²	C₂³×C₄×D₃	1	1	yes	characteristic
1661	C₄	—	2	1	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	2	1	no	—
1665	C₄	—	2	1	no	—
1666	C₄	—	2	1	no	—
1667	C₄	—	2	1	no	—
1668	C₄	—	2	1	no	—
1669	C₄	—	2	1	no	—
1670	C₄	—	2	1	no	—
1671	C₄	—	2	1	no	—
1672	C₄	—	2	1	no	—
1673	C₄	—	2	1	no	—
1674	C₄	—	6	1	no	—
1675	C₄	—	6	1	no	—
1676	C₄	—	6	1	no	—
1677	C₄	—	6	1	no	—
1678	C₄	—	6	1	no	—
1679	C₄	—	6	1	no	—
1680	C₄	—	6	1	no	—
1681	C₄	—	6	1	no	—
1682	C₄	—	6	1	no	—
1683	C₄	—	6	1	no	—
1684	C₄	#5968	1	1	yes	characteristic
1685	C₄	#5968	1	1	yes	characteristic
1686	C₃	#60299	1	1	yes	characteristic, complemented, Sylow
1687	C₂	—	4	1	no	—
1688	C₂	—	6	2	no	—
1689	C₂	—	12	1	no	—
1690	C₂	—	12	1	no	—
1691	C₂	—	12	1	no	—
1692	C₂	—	12	1	no	—
1693	C₂	—	12	1	no	—
1694	C₂	#85872	1	1	yes	characteristic
1695	C₂	D₃×#568	1	1	yes	characteristic
1696	C₂	#87166	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₃
commutator, socle	C₂²×C₃	C₂⁴×C₄
Fitting	C₃×#2987	C₂
prime radical	#86276	C₂
cosocle	C₂×C₃×C₄	C₂⁵
hypercenter	#2987	D₃
hypocenter	C₃	#60299
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₄ ◁ #2987

Complements

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

N	H ≅ G/N	type
2. C₃×#2987	C₂	semidirect
3. #83331	C₂	semidirect
4. #79949	C₂	semidirect
5. #79949	C₂	semidirect
6. #79948	C₂	semidirect
7. #79947	C₂	semidirect
8. #79946	C₂	semidirect
9. #79946	C₂	semidirect
10. #79945	C₂	semidirect
11. #79944	C₂	semidirect
12. #79943	C₂	semidirect
13. #79942	C₂	semidirect
14. #79941	C₂	semidirect
15. #79941	C₂	semidirect
16. #79940	C₂	semidirect
17. #79940	C₂	semidirect
18. #79939	C₂	semidirect
19. #79938	C₂	semidirect
20. #79378	C₂	semidirect
21. #79377	C₂	semidirect
22. #79376	C₂	semidirect
23. #79376	C₂	semidirect
24. #79374	C₂	semidirect
25. #79374	C₂	semidirect
26. #79371	C₂	semidirect
27. D₃×#433	C₂	semidirect
28. #79336	C₂	semidirect
29. #79335	C₂	semidirect
30. #79334	C₂	semidirect
31. #79332	C₂	semidirect
64. C₃×#446	C₂²	semidirect
65. C₃×#446	C₂²	semidirect
66. C₃×#446	C₂²	semidirect
67. C₃×#446	C₂²	semidirect
68. C₃×#446	C₂²	semidirect
69. C₃×#446	C₂²	semidirect
70. C₃×#446	C₂²	semidirect
71. C₃×#446	C₂²	semidirect
78. #5024	C₂²	semidirect
79. #5024	C₂²	semidirect
80. #5024	C₂²	semidirect
81. #5024	C₂²	semidirect
82. #5024	C₂²	semidirect
83. #5024	C₂²	semidirect
84. Q₈×C₃⋊C₈	C₂²	semidirect
85. Q₈×C₃⋊C₈	C₂²	semidirect
92. #4840	C₂²	semidirect
93. #4840	C₂²	semidirect
94. #4840	C₂²	semidirect
95. #4840	C₂²	semidirect
96. #4840	C₂²	semidirect
97. #4840	C₂²	semidirect
98. #4839	C₂²	semidirect
99. #4839	C₂²	semidirect
100. #4839	C₂²	semidirect
101. #4839	C₂²	semidirect
102. #4839	C₂²	semidirect
103. #4839	C₂²	semidirect
106. #4838	C₂²	semidirect
107. #4838	C₂²	semidirect
108. #4838	C₂²	semidirect
109. #4838	C₂²	semidirect
110. #4837	C₂²	semidirect
111. #4837	C₂²	semidirect
112. #4837	C₂²	semidirect
117. #4836	C₂²	semidirect
118. #4836	C₂²	semidirect
119. #4836	C₂²	semidirect
120. #4836	C₂²	semidirect
121. #4836	C₂²	semidirect
122. #4836	C₂²	semidirect
123. #4836	C₂²	semidirect
124. #4836	C₂²	semidirect
125. #4835	C₂²	semidirect
126. #4835	C₂²	semidirect
127. #4835	C₂²	semidirect
130. #4834	C₂²	semidirect
131. #4834	C₂²	semidirect
132. #4834	C₂²	semidirect
133. #4834	C₂²	semidirect
134. #4833	C₂²	semidirect
135. #4833	C₂²	semidirect
136. #4833	C₂²	semidirect
137. D₃×C₄⋊C₈	C₂²	semidirect
138. D₃×C₄⋊C₈	C₂²	semidirect
139. D₃×C₄⋊C₈	C₂²	semidirect
156. #4709	C₂²	semidirect
157. #4709	C₂²	semidirect
158. #4709	C₂²	semidirect
159. #4709	C₂²	semidirect
160. #4708	C₂²	semidirect
161. #4708	C₂²	semidirect
162. #4708	C₂²	semidirect
163. #4708	C₂²	semidirect
164. #4707	C₂²	semidirect
165. #4707	C₂²	semidirect
174. #4706	C₂²	semidirect
175. #4706	C₂²	semidirect
176. #4706	C₂²	semidirect
177. #4706	C₂²	semidirect
178. #4706	C₂²	semidirect
179. #4706	C₂²	semidirect
180. #4706	C₂²	semidirect
181. #4706	C₂²	semidirect
182. #4705	C₂²	semidirect
183. #4705	C₂²	semidirect
184. #4705	C₂²	semidirect
185. #4705	C₂²	semidirect
186. D₃×#97	C₂²	semidirect
187. D₃×#97	C₂²	semidirect
188. #4690	C₂²	semidirect
189. #4690	C₂²	semidirect
190. #4689	C₂²	semidirect
191. #4689	C₂²	semidirect
192. #4688	C₂²	semidirect
193. #4688	C₂²	semidirect
194. #4688	C₂²	semidirect
195. #4688	C₂²	semidirect
196. C₄×ΓL(1,𝔽₂₅)	C₂²	semidirect
197. C₈×D₁₂	C₂²	semidirect
198. C₈×D₁₂	C₂²	semidirect
199. C₈×D₁₂	C₂²	semidirect
200. C₈×D₁₂	C₂²	semidirect
201. #4685	C₂²	semidirect
202. #4685	C₂²	semidirect
203. C₄×D₃×C₈	C₂²	semidirect
213. #2987	D₃	semidirect
547. #446	C₂×D₃	semidirect
548. #446	C₂×D₃	semidirect
549. #446	C₂×D₃	semidirect
550. #446	C₂×D₃	semidirect
551. #446	C₂×D₃	semidirect
552. #446	C₂×D₃	semidirect
553. #446	C₂×D₃	semidirect
554. #446	C₂×D₃	semidirect
1686. C₃	#60299	semidirect

Maximal subgroups

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

subgroup	index
#86276	2
C₃×#2987	2
#83331	2
#79949	2
#79948	2
#79947	2
#79946	2
#79945	2
#79944	2
#79943	2
#79942	2
#79941	2
#79940	2
#79939	2
#79938	2
#79378	2
#79377	2
#79376	2
#79374	2
#79371	2
D₃×#433	2
#79336	2
#79335	2
#79334	2
#79332	2
#60299	3