Subgroups — #11660990

Order 768.

1816 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#86248	C₂	1	1	yes	maximal, characteristic
2	C₃×#2981	C₂	1	1	yes	maximal, characteristic, complemented
3	#83277	C₂	1	1	yes	maximal, characteristic, complemented
4	#79545	C₂	1	1	yes	maximal, characteristic, complemented
5	#79537	C₂	1	1	yes	maximal, characteristic, complemented
6	#79525	C₂	1	1	yes	maximal, characteristic, complemented
7	#79520	C₂	1	1	yes	maximal, characteristic, complemented
8	#79490	C₂	1	1	yes	maximal, characteristic, complemented
9	#79487	C₂	1	1	yes	maximal, characteristic, complemented
10	#79482	C₂	1	1	yes	maximal, characteristic, complemented
11	#79478	C₂	1	1	yes	maximal, characteristic, complemented
12	#79466	C₂	1	1	yes	maximal, characteristic, complemented
13	#79465	C₂	1	1	yes	maximal, characteristic, complemented
14	#79457	C₂	1	1	yes	maximal, characteristic, complemented
15	#79455	C₂	1	1	yes	maximal, characteristic, complemented
16	#79429	C₂	1	1	yes	maximal, characteristic, complemented
17	#79421	C₂	1	1	yes	maximal, characteristic, complemented
18	#79407	C₂	1	1	yes	maximal, characteristic, complemented
19	#79402	C₂	1	1	yes	maximal, characteristic, complemented
20	#79341	C₂	1	1	yes	maximal, characteristic, complemented
21	#79326	C₂	1	1	yes	maximal, characteristic, complemented
22	#79296	C₂	1	1	yes	maximal, characteristic, complemented
23	#79280	C₂	1	1	yes	maximal, characteristic, complemented
24	#78669	C₂	1	1	yes	maximal, characteristic, complemented
25	#78667	C₂	1	1	yes	maximal, characteristic, complemented
26	#78666	C₂	1	1	yes	maximal, characteristic, complemented
27	#78664	C₂	1	1	yes	maximal, characteristic, complemented
28	#78660	C₂	1	1	yes	maximal, characteristic, complemented
29	#78659	C₂	1	1	yes	maximal, characteristic, complemented
30	#78658	C₂	1	1	yes	maximal, characteristic, complemented
31	#78655	C₂	1	1	yes	maximal, characteristic, complemented
32	#60315	—	3	1	no	maximal, Sylow
33	C₃×#532	C₂²	1	1	yes	characteristic
34	#5832	C₂²	1	1	yes	characteristic
35	#5832	C₂²	1	1	yes	characteristic
36	#5828	C₂²	1	1	yes	characteristic
37	#5828	C₂²	1	1	yes	characteristic
38	C₂×#948	C₂²	1	1	yes	characteristic
39	C₂×#948	C₂²	1	1	yes	characteristic, complemented
40	C₂×#907	C₂²	1	1	yes	characteristic
41	C₂×D₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
42	C₂×#901	C₂²	1	1	yes	characteristic
43	C₂²×D₃×C₈	C₂²	1	1	yes	characteristic, complemented
44	#5735	C₄	1	1	yes	characteristic
45	#5735	C₄	1	1	yes	characteristic
46	#5720	C₄	1	1	yes	characteristic
47	#5720	C₄	1	1	yes	characteristic
48	#5684	C₄	1	1	yes	characteristic
49	#5684	C₄	1	1	yes	characteristic
50	#5683	C₄	1	1	yes	characteristic
51	#5672	C₄	1	1	yes	characteristic
52	#5621	C₄	1	1	yes	characteristic
53	#5621	C₄	1	1	yes	characteristic
54	#5621	C₄	1	1	yes	characteristic
55	#5621	C₄	1	1	yes	characteristic
56	#5620	C₄	1	1	yes	characteristic
57	#5620	C₄	1	1	yes	characteristic
58	#5620	C₄	1	1	yes	characteristic
59	#5620	C₄	1	1	yes	characteristic
60	#5547	C₂²	1	1	yes	characteristic
61	#5547	C₂²	1	1	yes	characteristic
62	#5547	C₂²	1	1	yes	characteristic
63	#5547	C₂²	1	1	yes	characteristic
64	#5538	C₂²	1	1	yes	characteristic
65	#5538	C₂²	1	1	yes	characteristic
66	#5538	C₂²	1	1	yes	characteristic
67	#5538	C₂²	1	1	yes	characteristic
68	#5479	C₂²	1	1	yes	characteristic
69	#5479	C₂²	1	1	yes	characteristic
70	C₃×#436	C₂²	1	1	yes	characteristic, complemented
71	C₃×#436	C₂²	1	1	yes	characteristic, complemented
72	C₃×#435	C₂²	1	1	yes	characteristic, complemented
73	C₃×#435	C₂²	1	1	yes	characteristic, complemented
74	C₃×#435	C₂²	1	1	yes	characteristic, complemented
75	C₃×#435	C₂²	1	1	yes	characteristic, complemented
76	C₃×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
77	C₃×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
78	C₃×#432	C₂²	1	1	yes	characteristic, complemented
79	C₃×#431	C₂²	1	1	yes	characteristic, complemented
80	C₃×#408	C₂²	1	1	yes	characteristic
81	C₃×#408	C₂²	1	1	yes	characteristic
82	C₃×#408	C₂²	1	1	yes	characteristic, complemented
83	C₃×#408	C₂²	1	1	yes	characteristic, complemented
84	#5234	C₂²	1	1	yes	characteristic
85	#5234	C₂²	1	1	yes	characteristic, complemented
86	#5129	C₂²	1	1	yes	characteristic
87	#5128	C₂²	1	1	yes	characteristic
88	#5128	C₂²	1	1	yes	characteristic
89	#5128	C₂²	1	1	yes	characteristic
90	#5128	C₂²	1	1	yes	characteristic, complemented
91	#5128	C₂²	1	1	yes	characteristic, complemented
92	#5128	C₂²	1	1	yes	characteristic, complemented
93	#5127	C₂²	1	1	yes	characteristic
94	#5127	C₂²	1	1	yes	characteristic, complemented
95	#5126	C₂²	1	1	yes	characteristic, complemented
96	#5122	C₂²	1	1	yes	characteristic, complemented
97	#5119	C₂²	1	1	yes	characteristic, complemented
98	#5118	C₂²	1	1	yes	characteristic, complemented
99	Dic₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
100	#5111	C₂²	1	1	yes	characteristic
101	#5111	C₂²	1	1	yes	characteristic
102	#5111	C₂²	1	1	yes	characteristic
103	#5111	C₂²	1	1	yes	characteristic, complemented
104	#5110	C₂²	1	1	yes	characteristic
105	C₈×#67	C₂²	1	1	yes	characteristic
106	C₈×#67	C₂²	1	1	yes	characteristic, complemented
107	C₈×#67	C₂²	1	1	yes	characteristic, complemented
108	C₈×#67	C₂²	1	1	yes	characteristic, complemented
109	C₂×(C₂×D₃)⋊C₈	C₂²	1	1	yes	characteristic, complemented
110	#5102	C₂²	1	1	yes	characteristic, complemented
111	#5101	C₂²	1	1	yes	characteristic, complemented
112	C₂×#815	C₂²	1	1	yes	characteristic, complemented
113	C₂×Dic₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
114	#5012	C₂²	1	1	yes	characteristic, complemented
115	#5012	C₂²	1	1	yes	characteristic, complemented
116	#5011	C₂²	1	1	yes	characteristic, complemented
117	#5011	C₂²	1	1	yes	characteristic, complemented
118	#5011	C₂²	1	1	yes	characteristic, complemented
119	#5011	C₂²	1	1	yes	characteristic, complemented
120	D₄×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
121	D₄×C₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
122	C₂×C₄⋊(C₃⋊C₈)	C₂²	1	1	yes	characteristic, complemented
123	C₄×#208	C₂²	1	1	yes	characteristic, complemented
124	#4840	C₂²	1	1	yes	characteristic, complemented
125	#4840	C₂²	1	1	yes	characteristic, complemented
126	#4840	C₂²	1	1	yes	characteristic, complemented
127	#4840	C₂²	1	1	yes	characteristic, complemented
128	#4839	C₂²	1	1	yes	characteristic, complemented
129	#4839	C₂²	1	1	yes	characteristic, complemented
130	#4839	C₂²	1	1	yes	characteristic, complemented
131	#4839	C₂²	1	1	yes	characteristic, complemented
132	#4838	C₂²	1	1	yes	characteristic
133	#4836	C₂²	1	1	yes	characteristic
134	#4836	C₂²	1	1	yes	characteristic
135	#4834	C₂²	1	1	yes	characteristic
136	#4831	C₂²	1	1	yes	characteristic, complemented
137	#4830	C₂²	1	1	yes	characteristic, complemented
138	#4828	C₂²	1	1	yes	characteristic, complemented
139	#4828	C₂²	1	1	yes	characteristic, complemented
140	#4730	C₂²	1	1	yes	characteristic
141	#4730	C₂²	1	1	yes	characteristic, complemented
142	#4730	C₂²	1	1	yes	characteristic, complemented
143	#4730	C₂²	1	1	yes	characteristic, complemented
144	#4730	C₂²	1	1	yes	characteristic, complemented
145	#4730	C₂²	1	1	yes	characteristic, complemented
146	#4730	C₂²	1	1	yes	characteristic, complemented
147	#4730	C₂²	1	1	yes	characteristic, complemented
148	#4729	C₂²	1	1	yes	characteristic
149	#4729	C₂²	1	1	yes	characteristic, complemented
150	#4729	C₂²	1	1	yes	characteristic, complemented
151	#4729	C₂²	1	1	yes	characteristic, complemented
152	#4729	C₂²	1	1	yes	characteristic, complemented
153	#4729	C₂²	1	1	yes	characteristic, complemented
154	#4728	C₂²	1	1	yes	characteristic
155	#4728	C₂²	1	1	yes	characteristic
156	#4728	C₂²	1	1	yes	characteristic
157	#4728	C₂²	1	1	yes	characteristic, complemented
158	#4728	C₂²	1	1	yes	characteristic, complemented
159	#4728	C₂²	1	1	yes	characteristic, complemented
160	#4728	C₂²	1	1	yes	characteristic, complemented
161	#4728	C₂²	1	1	yes	characteristic, complemented
162	#4728	C₂²	1	1	yes	characteristic, complemented
163	#4728	C₂²	1	1	yes	characteristic, complemented
164	#4727	C₂²	1	1	yes	characteristic
165	#4727	C₂²	1	1	yes	characteristic
166	#4727	C₂²	1	1	yes	characteristic
167	#4727	C₂²	1	1	yes	characteristic
168	#4726	C₂²	1	1	yes	characteristic, complemented
169	#4726	C₂²	1	1	yes	characteristic, complemented
170	#4726	C₂²	1	1	yes	characteristic, complemented
171	#67⋊C₈	C₂²	1	1	yes	characteristic
172	#67⋊C₈	C₂²	1	1	yes	characteristic
173	#67⋊C₈	C₂²	1	1	yes	characteristic
174	#67⋊C₈	C₂²	1	1	yes	characteristic, complemented
175	#67⋊C₈	C₂²	1	1	yes	characteristic, complemented
176	#67⋊C₈	C₂²	1	1	yes	characteristic, complemented
177	#67⋊C₈	C₂²	1	1	yes	characteristic, complemented
178	#67⋊C₈	C₂²	1	1	yes	characteristic, complemented
179	D₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
180	#4720	C₂²	1	1	yes	characteristic, complemented
181	#4720	C₂²	1	1	yes	characteristic, complemented
182	#4720	C₂²	1	1	yes	characteristic, complemented
183	#4720	C₂²	1	1	yes	characteristic, complemented
184	#4719	C₂²	1	1	yes	characteristic, complemented
185	#4718	C₂²	1	1	yes	characteristic, complemented
186	#4718	C₂²	1	1	yes	characteristic, complemented
187	#4718	C₂²	1	1	yes	characteristic, complemented
188	#4709	C₂²	1	1	yes	characteristic, complemented
189	#4709	C₂²	1	1	yes	characteristic, complemented
190	#4708	C₂²	1	1	yes	characteristic, complemented
191	#4708	C₂²	1	1	yes	characteristic, complemented
192	#4706	C₂²	1	1	yes	characteristic
193	#4706	C₂²	1	1	yes	characteristic
194	#4701	C₂²	1	1	yes	characteristic, complemented
195	#4701	C₂²	1	1	yes	characteristic, complemented
196	#4690	C₂²	1	1	yes	characteristic, complemented
197	#4690	C₂²	1	1	yes	characteristic, complemented
198	#4689	C₂²	1	1	yes	characteristic, complemented
199	#4689	C₂²	1	1	yes	characteristic, complemented
200	#4688	C₂²	1	1	yes	characteristic
201	C₈×D₁₂	C₂²	1	1	yes	characteristic
202	#4679	C₂²	1	1	yes	characteristic, complemented
203	C₈×Dic₆	C₂²	1	1	yes	characteristic, complemented
204	#3529	—	3	1	no	—
205	#2994	—	3	1	no	—
206	#2994	—	3	1	no	—
207	#2993	—	3	1	no	—
208	#2993	—	3	1	no	—
209	#2992	—	3	1	no	—
210	#2992	—	3	1	no	—
211	#2981	—	3	1	no	—
212	#2981	D₃	1	1	yes	characteristic, complemented
213	#2979	—	3	1	no	—
214	#2978	—	3	1	no	—
215	#2978	—	3	1	no	—
216	#2978	—	3	1	no	—
217	#2977	—	3	1	no	—
218	#2976	—	3	1	no	—
219	#2976	—	3	1	no	—
220	#2969	—	3	1	no	—
221	#2969	—	3	1	no	—
222	#2968	—	3	1	no	—
223	#2968	—	3	1	no	—
224	#2967	—	3	1	no	—
225	#2967	—	3	1	no	—
226	#2935	—	3	1	no	—
227	#2935	—	3	1	no	—
228	#2933	—	3	1	no	—
229	#2933	—	3	1	no	—
230	#2932	—	3	1	no	—
231	#2930	—	3	1	no	—
232	#2929	—	3	1	no	—
233	#2929	—	3	1	no	—
234	#2929	—	3	1	no	—
235	C₂×C₃×#41	C₂³	1	1	yes	characteristic
236	C₂×C₃×#41	C₂³	1	1	yes	characteristic
237	C₂×#235	C₂³	1	1	yes	characteristic
238	C₂×#235	C₂³	1	1	yes	characteristic
239	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
240	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
241	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
244	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
245	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
246	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
247	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
248	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
249	C₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
250	C₃×#127	C₂×C₄	1	1	yes	characteristic
251	C₃×#124	C₂×C₄	1	1	yes	characteristic
252	C₃×#124	C₂×C₄	1	1	yes	characteristic
253	C₃×#121	C₂×C₄	1	1	yes	characteristic
254	C₃×#121	C₂×C₄	1	1	yes	characteristic
255	C₃×#121	C₂×C₄	1	1	yes	characteristic
256	C₃×#121	C₂×C₄	1	1	yes	characteristic
257	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
258	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
259	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
260	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
261	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
262	#948	—	4	2	no	—
263	#948	—	4	2	no	—
264	#947	C₂×C₄	1	1	yes	characteristic
265	#947	C₂×C₄	1	1	yes	characteristic
266	#946	C₂×C₄	1	1	yes	characteristic
267	#946	C₂×C₄	1	1	yes	characteristic
268	#946	C₂×C₄	1	1	yes	characteristic
269	#946	C₂×C₄	1	1	yes	characteristic
270	#944	C₂×C₄	1	1	yes	characteristic
271	#944	C₂×C₄	1	1	yes	characteristic
272	#940	C₂×C₄	1	1	yes	characteristic
273	#940	C₂×C₄	1	1	yes	characteristic
274	#939	C₂×C₄	1	1	yes	characteristic
275	#939	C₂×C₄	1	1	yes	characteristic
276	#939	C₂×C₄	1	1	yes	characteristic
277	#939	C₂×C₄	1	1	yes	characteristic
278	#939	C₂×C₄	1	1	yes	characteristic
279	#939	C₂×C₄	1	1	yes	characteristic
280	#939	C₂×C₄	1	1	yes	characteristic
281	#939	C₂×C₄	1	1	yes	characteristic
282	#939	C₂×C₄	1	1	yes	characteristic
283	#939	C₂×C₄	1	1	yes	characteristic
284	#939	C₂×C₄	1	1	yes	characteristic
285	#939	C₂×C₄	1	1	yes	characteristic
286	#939	C₂×C₄	1	1	yes	characteristic
287	#939	C₂×C₄	1	1	yes	characteristic
288	#939	C₂×C₄	1	1	yes	characteristic
289	#939	C₂×C₄	1	1	yes	characteristic
290	#938	C₂×C₄	1	1	yes	characteristic
291	#938	C₂×C₄	1	1	yes	characteristic
292	#938	C₂×C₄	1	1	yes	characteristic
293	#938	C₂×C₄	1	1	yes	characteristic
294	#937	C₂×C₄	1	1	yes	characteristic
295	#937	C₂×C₄	1	1	yes	characteristic
296	#937	C₂×C₄	1	1	yes	characteristic
297	#937	C₂×C₄	1	1	yes	characteristic
298	#937	C₂×C₄	1	1	yes	characteristic
299	#937	C₂×C₄	1	1	yes	characteristic
300	#937	C₂×C₄	1	1	yes	characteristic
301	#937	C₂×C₄	1	1	yes	characteristic
302	#936	C₂×C₄	1	1	yes	characteristic
303	#936	C₂×C₄	1	1	yes	characteristic
304	#935	C₂×C₄	1	1	yes	characteristic
305	#935	C₂×C₄	1	1	yes	characteristic
306	#935	C₂×C₄	1	1	yes	characteristic
307	#935	C₂×C₄	1	1	yes	characteristic
308	#935	C₂×C₄	1	1	yes	characteristic
309	#935	C₂×C₄	1	1	yes	characteristic
310	#935	C₂×C₄	1	1	yes	characteristic
311	#935	C₂×C₄	1	1	yes	characteristic
312	#930	C₂×C₄	1	1	yes	characteristic
313	#930	C₂×C₄	1	1	yes	characteristic
314	#929	C₂×C₄	1	1	yes	characteristic
315	#929	C₂×C₄	1	1	yes	characteristic
316	#929	C₂×C₄	1	1	yes	characteristic
317	#929	C₂×C₄	1	1	yes	characteristic
318	C₄×#67	C₂³	1	1	yes	characteristic
319	C₄×#67	C₂³	1	1	yes	characteristic
320	C₄×#67	C₂³	1	1	yes	characteristic
321	C₄×#67	C₂³	1	1	yes	characteristic
322	C₄×#67	C₂³	1	1	yes	characteristic
323	C₄×#67	C₂³	1	1	yes	characteristic
324	C₄×#67	C₂³	1	1	yes	characteristic
325	C₄×#67	C₂³	1	1	yes	characteristic
326	C₄×#67	C₂³	1	1	yes	characteristic
327	C₄×#67	C₂³	1	1	yes	characteristic
328	C₄×#67	C₂³	1	1	yes	characteristic
329	C₄×#67	C₂³	1	1	yes	characteristic
330	#926	C₂³	1	1	yes	characteristic
331	#926	C₂³	1	1	yes	characteristic
332	#924	C₂×C₄	1	1	yes	characteristic
333	#924	C₂×C₄	1	1	yes	characteristic
334	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
335	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
336	C₂×#208	C₂³	1	1	yes	characteristic
337	C₂×#208	C₂³	1	1	yes	characteristic
338	C₂×#208	C₂³	1	1	yes	characteristic
339	C₂×#208	C₂³	1	1	yes	characteristic
340	C₂×#208	C₂³	1	1	yes	characteristic
341	C₂×#208	C₂³	1	1	yes	characteristic
342	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
343	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
344	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
345	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
346	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
347	C₂²×C₃⋊C₈	C₂³	1	1	yes	characteristic
348	#907	—	4	2	no	—
349	D₃×M₁₆	—	4	2	no	—
350	#901	—	4	2	no	—
351	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
352	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
353	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
354	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
355	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
356	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
357	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
358	C₂×ΓL(1,𝔽₂₅)	C₂³	1	1	yes	characteristic
359	C₂×D₃×C₈	—	4	2	no	—
360	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
361	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
362	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
363	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
364	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
365	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
366	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
367	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
368	#898	C₂×C₄	1	1	yes	characteristic
369	#898	C₂×C₄	1	1	yes	characteristic
370	#898	C₂×C₄	1	1	yes	characteristic
371	#898	C₂×C₄	1	1	yes	characteristic
372	#896	C₂×C₄	1	1	yes	characteristic
373	#896	C₂×C₄	1	1	yes	characteristic
374	#896	C₂×C₄	1	1	yes	characteristic
375	#896	C₂×C₄	1	1	yes	characteristic
376	#894	C₂×C₄	1	1	yes	characteristic
377	#894	C₂×C₄	1	1	yes	characteristic
378	#894	C₂×C₄	1	1	yes	characteristic
379	#894	C₂×C₄	1	1	yes	characteristic
380	#889	C₂×C₄	1	1	yes	characteristic
381	#889	C₂×C₄	1	1	yes	characteristic
382	#889	C₂×C₄	1	1	yes	characteristic
383	#889	C₂×C₄	1	1	yes	characteristic
384	#886	C₂×C₄	1	1	yes	characteristic
385	#886	C₂×C₄	1	1	yes	characteristic
386	#886	C₂×C₄	1	1	yes	characteristic
387	#886	C₂×C₄	1	1	yes	characteristic
388	#885	C₂×C₄	1	1	yes	characteristic
389	#885	C₂×C₄	1	1	yes	characteristic
390	#885	C₂×C₄	1	1	yes	characteristic
391	#885	C₂×C₄	1	1	yes	characteristic
392	#884	C₂×C₄	1	1	yes	characteristic
393	#884	C₂×C₄	1	1	yes	characteristic
394	#884	C₂×C₄	1	1	yes	characteristic
395	#884	C₂×C₄	1	1	yes	characteristic
396	#883	C₂×C₄	1	1	yes	characteristic
397	#883	C₂×C₄	1	1	yes	characteristic
398	#883	C₂×C₄	1	1	yes	characteristic
399	#883	C₂×C₄	1	1	yes	characteristic
400	#882	C₂×C₄	1	1	yes	characteristic
401	#882	C₂×C₄	1	1	yes	characteristic
402	#882	C₂×C₄	1	1	yes	characteristic
403	#882	C₂×C₄	1	1	yes	characteristic
404	#879	C₂×C₄	1	1	yes	characteristic
405	#879	C₂×C₄	1	1	yes	characteristic
406	#879	C₂×C₄	1	1	yes	characteristic
407	#879	C₂×C₄	1	1	yes	characteristic
408	#878	C₂×C₄	1	1	yes	characteristic
409	#878	C₂×C₄	1	1	yes	characteristic
410	#878	C₂×C₄	1	1	yes	characteristic
411	#878	C₂×C₄	1	1	yes	characteristic
412	#878	C₂×C₄	1	1	yes	characteristic
413	#878	C₂×C₄	1	1	yes	characteristic
414	#878	C₂×C₄	1	1	yes	characteristic
415	#878	C₂×C₄	1	1	yes	characteristic
416	#876	C₂×C₄	1	1	yes	characteristic
417	#876	C₂×C₄	1	1	yes	characteristic
418	#876	C₂×C₄	1	1	yes	characteristic
419	#876	C₂×C₄	1	1	yes	characteristic
420	#875	C₂×C₄	1	1	yes	characteristic
421	#875	C₂×C₄	1	1	yes	characteristic
422	C₄×D₁₂	C₂³	1	1	yes	characteristic
423	C₄×D₁₂	C₂³	1	1	yes	characteristic
424	#872	C₂³	1	1	yes	characteristic
425	#872	C₂³	1	1	yes	characteristic
426	#872	C₂³	1	1	yes	characteristic
427	#872	C₂³	1	1	yes	characteristic
428	#870	C₂×C₄	1	1	yes	characteristic
429	#870	C₂×C₄	1	1	yes	characteristic
430	C₄×Dic₆	C₂³	1	1	yes	characteristic
431	C₄×Dic₆	C₂³	1	1	yes	characteristic
432	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
435	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
436	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
437	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
438	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
439	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
441	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
442	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
443	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
444	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
445	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
446	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
447	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
448	C₃×#97	C₂³	1	1	yes	characteristic
449	C₃×#97	C₂³	1	1	yes	characteristic
450	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
451	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
452	#830	C₂³	1	1	yes	characteristic
453	#830	C₂³	1	1	yes	characteristic
454	#830	C₂³	1	1	yes	characteristic
455	#830	C₂³	1	1	yes	characteristic
456	#830	C₂³	1	1	yes	characteristic
457	#830	C₂³	1	1	yes	characteristic
458	#830	C₂³	1	1	yes	characteristic
459	#830	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	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
471	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
472	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
473	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
474	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
475	(C₂×D₃)⋊C₈	C₂³	1	1	yes	characteristic
476	#815	C₂³	1	1	yes	characteristic
477	#815	C₂³	1	1	yes	characteristic
478	#815	C₂³	1	1	yes	characteristic
479	#815	C₂³	1	1	yes	characteristic
480	#815	C₂³	1	1	yes	characteristic
481	#815	C₂³	1	1	yes	characteristic
482	#815	C₂³	1	1	yes	characteristic
483	#815	C₂³	1	1	yes	characteristic
484	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
485	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
486	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
487	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
488	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
489	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
490	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
491	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
492	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
493	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
494	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
495	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
496	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
497	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
498	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
499	Dic₃⋊C₈	C₂³	1	1	yes	characteristic
500	C₈×Dic₃	C₂³	1	1	yes	characteristic
501	C₈×Dic₃	C₂³	1	1	yes	characteristic
502	C₈×Dic₃	C₂³	1	1	yes	characteristic
503	C₈×Dic₃	C₂³	1	1	yes	characteristic
504	C₈×Dic₃	C₂³	1	1	yes	characteristic
505	C₈×Dic₃	C₂³	1	1	yes	characteristic
506	C₈×Dic₃	C₂³	1	1	yes	characteristic
507	C₈×Dic₃	C₂³	1	1	yes	characteristic
508	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
509	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
510	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
511	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
512	#803	C₂³	1	1	yes	characteristic
513	#803	C₂³	1	1	yes	characteristic
514	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
515	C₄×C₃⋊C₈	C₂³	1	1	yes	characteristic
516	C₂×#131	—	3	1	no	—
517	C₂×#131	—	3	1	no	—
518	C₂×#131	—	3	1	no	—
519	C₂×#131	—	3	1	no	—
520	C₂²×M₁₆	—	3	1	no	—
521	C₂³×C₈	—	3	1	no	—
522	#563	—	3	1	no	—
523	#563	—	3	1	no	—
524	#563	—	3	1	no	—
525	#562	—	3	1	no	—
526	#562	—	3	1	no	—
527	#562	—	3	1	no	—
528	#562	—	3	1	no	—
529	#562	—	3	1	no	—
530	#562	—	3	1	no	—
531	H(3,𝔽₄)	—	3	1	no	—
532	#560	—	3	1	no	—
533	#560	—	3	1	no	—
534	#560	—	3	1	no	—
535	#560	—	3	1	no	—
536	#560	—	3	1	no	—
537	#560	—	3	1	no	—
538	#532	—	3	1	no	—
539	#532	—	3	1	no	—
540	#532	C₂×D₃	1	1	yes	characteristic
541	#529	—	3	1	no	—
542	#529	—	3	1	no	—
543	#529	—	3	1	no	—
544	#529	—	3	1	no	—
545	#529	—	3	1	no	—
546	#529	—	3	1	no	—
547	#525	—	3	1	no	—
548	#525	—	3	1	no	—
549	#525	—	3	1	no	—
550	#525	—	3	1	no	—
551	#525	—	3	1	no	—
552	#525	—	3	1	no	—
553	#446	—	3	1	no	—
554	#446	—	3	1	no	—
555	#446	—	3	1	no	—
556	#446	—	3	1	no	—
557	#446	—	3	1	no	—
558	#446	—	3	1	no	—
559	C₈×Q₈	—	3	1	no	—
560	C₈×Q₈	—	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	#436	—	3	1	no	—
568	#436	—	3	1	no	—
569	#436	—	3	1	no	—
570	#436	—	3	1	no	—
571	#436	—	3	1	no	—
572	#436	—	3	1	no	—
573	#436	—	3	1	no	—
574	#436	—	3	1	no	—
575	#436	—	3	1	no	—
576	#436	—	3	1	no	—
577	#436	C₂×D₃	1	1	yes	characteristic, complemented
578	#436	C₂×D₃	1	1	yes	characteristic, complemented
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	#435	—	3	1	no	—
596	#435	—	3	1	no	—
597	#435	—	3	1	no	—
598	#435	—	3	1	no	—
599	#435	—	3	1	no	—
600	#435	—	3	1	no	—
601	#435	—	3	1	no	—
602	#435	—	3	1	no	—
603	#435	—	3	1	no	—
604	#435	—	3	1	no	—
605	#435	—	3	1	no	—
606	#435	—	3	1	no	—
607	#435	—	3	1	no	—
608	#435	—	3	1	no	—
609	#435	—	3	1	no	—
610	#435	—	3	1	no	—
611	#435	C₂×D₃	1	1	yes	characteristic, complemented
612	#435	C₂×D₃	1	1	yes	characteristic, complemented
613	#435	C₂×D₃	1	1	yes	characteristic, complemented
614	#435	C₂×D₃	1	1	yes	characteristic, complemented
615	C₈×D₄	—	3	1	no	—
616	C₈×D₄	—	3	1	no	—
617	C₈×D₄	—	3	1	no	—
618	C₈×D₄	—	3	1	no	—
619	C₈×D₄	—	3	1	no	—
620	C₈×D₄	—	3	1	no	—
621	C₈×D₄	—	3	1	no	—
622	C₈×D₄	—	3	1	no	—
623	C₈×D₄	—	3	1	no	—
624	C₈×D₄	—	3	1	no	—
625	C₈×D₄	—	3	1	no	—
626	C₈×D₄	—	3	1	no	—
627	C₈×D₄	—	3	1	no	—
628	C₈×D₄	—	3	1	no	—
629	C₈×D₄	—	3	1	no	—
630	C₈×D₄	—	3	1	no	—
631	C₈×D₄	C₂×D₃	1	1	yes	characteristic, complemented
632	C₈×D₄	C₂×D₃	1	1	yes	characteristic, complemented
633	#433	—	3	1	no	—
634	#433	—	3	1	no	—
635	#433	—	3	1	no	—
636	#433	—	3	1	no	—
637	#433	—	3	1	no	—
638	#433	—	3	1	no	—
639	#433	—	3	1	no	—
640	#433	—	3	1	no	—
641	#433	—	3	1	no	—
642	#433	—	3	1	no	—
643	#433	—	3	1	no	—
644	#433	—	3	1	no	—
645	#432	—	3	1	no	—
646	#432	C₂×D₃	1	1	yes	characteristic, complemented
647	#431	—	3	1	no	—
648	#431	—	3	1	no	—
649	#431	—	3	1	no	—
650	#431	C₂×D₃	1	1	yes	characteristic, complemented
651	#424	—	3	1	no	—
652	#424	—	3	1	no	—
653	#424	—	3	1	no	—
654	#424	—	3	1	no	—
655	#424	—	3	1	no	—
656	#424	—	3	1	no	—
657	#423	—	3	1	no	—
658	C₂×C₄⋊C₈	—	3	1	no	—
659	C₂×C₄⋊C₈	—	3	1	no	—
660	#408	—	3	1	no	—
661	#408	—	3	1	no	—
662	#408	—	3	1	no	—
663	#408	—	3	1	no	—
664	#408	—	3	1	no	—
665	#408	—	3	1	no	—
666	#408	—	3	1	no	—
667	#408	—	3	1	no	—
668	#408	C₂×D₃	1	1	yes	characteristic
669	#408	C₂×D₃	1	1	yes	characteristic
670	#408	C₂×D₃	1	1	yes	characteristic, complemented
671	#408	C₂×D₃	1	1	yes	characteristic, complemented
672	#407	—	3	1	no	—
673	#407	—	3	1	no	—
674	#407	—	3	1	no	—
675	#407	—	3	1	no	—
676	C₂×C₂²⋊C₈	—	3	1	no	—
677	C₂×C₂²⋊C₈	—	3	1	no	—
678	#405	—	3	1	no	—
679	#405	—	3	1	no	—
680	#405	—	3	1	no	—
681	#405	—	3	1	no	—
682	#405	—	3	1	no	—
683	#405	—	3	1	no	—
684	C₄×M₁₆	—	3	1	no	—
685	C₄×M₁₆	—	3	1	no	—
686	C₂×#97	—	3	1	no	—
687	C₂³×D₃	C₂²×C₄	1	1	yes	characteristic
688	C₂³×D₃	C₂²×C₄	1	1	yes	characteristic
689	C₃×#41	—	4	1	no	—
690	C₃×#41	—	4	1	no	—
691	C₃×#41	—	4	1	no	—
692	C₃×#41	—	4	1	no	—
693	C₂×C₃×Q₈	C₂²×C₄	1	1	yes	characteristic
694	C₂×C₃×Q₈	C₂²×C₄	1	1	yes	characteristic
695	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
696	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
697	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
698	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
699	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
700	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
701	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
702	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
703	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
704	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
705	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
706	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
707	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
708	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
709	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
710	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
711	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
712	C₂×#67	C₂²×C₄	1	1	yes	characteristic
713	C₂×#67	C₂²×C₄	1	1	yes	characteristic
714	C₂×#67	C₂²×C₄	1	1	yes	characteristic
715	C₂×#67	C₂²×C₄	1	1	yes	characteristic
716	C₂×#67	C₂²×C₄	1	1	yes	characteristic
717	C₂×#67	C₂²×C₄	1	1	yes	characteristic
718	C₂×#67	C₂²×C₄	1	1	yes	characteristic
719	C₂×#67	C₂²×C₄	1	1	yes	characteristic
720	C₂×#67	C₂²×C₄	1	1	yes	characteristic
721	C₂×#67	C₂²×C₄	1	1	yes	characteristic
722	C₂×#67	C₂²×C₄	1	1	yes	characteristic
723	C₂×#67	C₂²×C₄	1	1	yes	characteristic
724	C₂×#67	C₂²×C₄	1	1	yes	characteristic
725	C₂×#67	C₂²×C₄	1	1	yes	characteristic
726	C₂×#67	C₂²×C₄	1	1	yes	characteristic
727	C₂×#67	C₂²×C₄	1	1	yes	characteristic
728	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
729	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
730	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
731	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
732	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
733	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
734	#235	—	4	1	no	—
735	#235	—	4	1	no	—
736	#235	—	4	1	no	—
737	#235	—	4	1	no	—
738	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
739	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
740	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
741	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
742	C₂×C₄×D₃	—	4	1	no	—
743	C₂×C₄×D₃	—	4	1	no	—
744	C₂×C₄×D₃	—	4	1	no	—
745	C₂×C₄×D₃	—	4	1	no	—
746	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
747	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
748	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
749	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
750	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
751	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
752	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
753	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
754	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
755	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
756	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
757	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
758	C₃×M₁₆	—	4	1	no	—
759	C₃×M₁₆	—	4	1	no	—
760	C₃×M₁₆	—	4	1	no	—
761	C₃×M₁₆	—	4	1	no	—
762	C₂×C₃×C₈	—	4	1	no	—
763	C₂×C₃×C₈	—	4	1	no	—
764	C₂×C₃×C₈	—	4	1	no	—
765	C₂×C₃×C₈	—	4	1	no	—
766	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
767	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
768	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
769	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
770	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
771	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
772	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
773	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
774	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
775	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
776	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
777	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
778	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
779	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
780	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
781	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
782	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
783	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
784	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
785	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
786	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
787	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
788	C₃×C₄²	C₂⁴	1	1	yes	characteristic
789	C₃×C₄²	C₂⁴	1	1	yes	characteristic
790	#217	C₂²×C₄	1	1	yes	characteristic
791	#217	C₂²×C₄	1	1	yes	characteristic
792	#217	C₂²×C₄	1	1	yes	characteristic
793	#217	C₂²×C₄	1	1	yes	characteristic
794	#217	C₂²×C₄	1	1	yes	characteristic
795	#217	C₂²×C₄	1	1	yes	characteristic
796	#217	C₂²×C₄	1	1	yes	characteristic
797	#217	C₂²×C₄	1	1	yes	characteristic
798	#217	C₂²×C₄	1	1	yes	characteristic
799	#217	C₂²×C₄	1	1	yes	characteristic
800	#217	C₂²×C₄	1	1	yes	characteristic
801	#217	C₂²×C₄	1	1	yes	characteristic
802	#217	C₂²×C₄	1	1	yes	characteristic
803	#217	C₂²×C₄	1	1	yes	characteristic
804	#217	C₂²×C₄	1	1	yes	characteristic
805	#217	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	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
814	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
815	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
816	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
817	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
818	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
819	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
820	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
821	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
822	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
823	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
824	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
825	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
826	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
827	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
828	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
829	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
830	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
831	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
832	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
833	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
834	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
835	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
836	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
837	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
838	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
839	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
840	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
841	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
842	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
843	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
844	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
845	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
846	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
847	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
848	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
849	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
850	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
851	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
852	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
853	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
854	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
855	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
856	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
857	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
858	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
859	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
860	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
861	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
862	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
863	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
864	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
865	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
866	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
867	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
868	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
869	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
870	#208	—	2	2	no	—
871	#208	—	2	2	no	—
872	#208	—	2	2	no	—
873	#208	—	4	1	no	—
874	#208	—	4	1	no	—
875	#208	—	4	1	no	—
876	C₂×C₃⋊C₈	—	2	2	no	—
877	C₂×C₃⋊C₈	—	2	2	no	—
878	C₂×C₃⋊C₈	—	4	1	no	—
879	C₂×C₃⋊C₈	—	4	1	no	—
880	C₂×C₃⋊C₈	—	4	1	no	—
881	C₂×C₃⋊C₈	—	4	1	no	—
882	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
883	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
884	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
885	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
886	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
887	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
888	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
889	C₂×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
890	ΓL(1,𝔽₂₅)	—	2	2	no	—
891	ΓL(1,𝔽₂₅)	—	4	1	no	—
892	ΓL(1,𝔽₂₅)	—	4	1	no	—
893	ΓL(1,𝔽₂₅)	—	4	1	no	—
894	ΓL(1,𝔽₂₅)	—	4	1	no	—
895	ΓL(1,𝔽₂₅)	—	4	1	no	—
896	ΓL(1,𝔽₂₅)	—	4	1	no	—
897	ΓL(1,𝔽₂₅)	—	4	1	no	—
898	D₃×C₈	—	2	2	no	—
899	D₃×C₈	—	2	2	no	—
900	D₃×C₈	—	2	2	no	—
901	D₃×C₈	—	4	1	no	—
902	D₃×C₈	—	4	1	no	—
903	D₃×C₈	—	4	1	no	—
904	D₃×C₈	—	4	1	no	—
905	D₃×C₈	—	4	1	no	—
906	C₂×#41	—	3	1	no	—
907	C₂×#41	—	3	1	no	—
908	C₂×#41	C₂²×D₃	1	1	yes	characteristic
909	C₂×#41	C₂²×D₃	1	1	yes	characteristic
910	C₂³×C₄	—	3	1	no	—
911	C₂³×C₄	—	3	1	no	—
912	#131	—	12	2	no	—
913	#131	—	12	2	no	—
914	#131	—	12	2	no	—
915	#131	—	12	2	no	—
916	C₂×M₁₆	—	3	1	no	—
917	C₂×M₁₆	—	3	1	no	—
918	C₂×M₁₆	—	3	1	no	—
919	C₂×M₁₆	—	3	1	no	—
920	C₂×M₁₆	—	3	1	no	—
921	C₂×M₁₆	—	3	1	no	—
922	C₂×M₁₆	—	3	1	no	—
923	C₂×M₁₆	—	3	1	no	—
924	C₂×M₁₆	—	3	1	no	—
925	C₂×M₁₆	—	3	1	no	—
926	C₂×M₁₆	—	3	1	no	—
927	C₂×M₁₆	—	3	1	no	—
928	C₂×M₁₆	—	3	1	no	—
929	C₂×M₁₆	—	3	1	no	—
930	C₂×M₁₆	—	12	2	no	—
931	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
932	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
933	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
934	C₂×M₁₆	C₂²×D₃	1	1	yes	characteristic
935	C₂²×C₈	—	3	1	no	—
936	C₂²×C₈	—	3	1	no	—
937	C₂²×C₈	—	3	1	no	—
938	C₂²×C₈	—	3	1	no	—
939	C₂²×C₈	—	3	1	no	—
940	C₂²×C₈	—	3	1	no	—
941	C₂²×C₈	—	3	1	no	—
942	C₂²×C₈	—	3	1	no	—
943	C₂²×C₈	—	3	1	no	—
944	C₂²×C₈	—	3	1	no	—
945	C₂²×C₈	—	3	1	no	—
946	C₂²×C₈	—	3	1	no	—
947	C₂²×C₈	—	3	1	no	—
948	C₂²×C₈	—	3	1	no	—
949	C₂²×C₈	—	12	2	no	—
950	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
951	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
952	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
953	C₂²×C₈	C₂²×D₃	1	1	yes	characteristic
954	C₄⋊Q₈	—	3	1	no	—
955	C₄⋊Q₈	—	3	1	no	—
956	C₄⋊Q₈	C₄×D₃	1	1	yes	characteristic
957	#127	—	3	1	no	—
958	#127	—	3	1	no	—
959	#127	C₄×D₃	1	1	yes	characteristic
960	#126	—	3	1	no	—
961	#126	—	3	1	no	—
962	#126	—	3	1	no	—
963	#126	—	3	1	no	—
964	#126	—	3	1	no	—
965	#126	—	3	1	no	—
966	#126	—	3	1	no	—
967	#126	—	3	1	no	—
968	#126	—	3	1	no	—
969	#126	—	3	1	no	—
970	#126	—	3	1	no	—
971	#126	—	3	1	no	—
972	#125	—	3	1	no	—
973	#125	—	3	1	no	—
974	#125	—	3	1	no	—
975	#125	—	3	1	no	—
976	#125	—	3	1	no	—
977	#125	—	3	1	no	—
978	#124	—	3	1	no	—
979	#124	—	3	1	no	—
980	#124	—	3	1	no	—
981	#124	—	3	1	no	—
982	#124	—	3	1	no	—
983	#124	—	3	1	no	—
984	#124	—	3	1	no	—
985	#124	—	3	1	no	—
986	#124	—	3	1	no	—
987	#124	—	3	1	no	—
988	#124	C₄×D₃	1	1	yes	characteristic
989	#124	C₄×D₃	1	1	yes	characteristic
990	#123	—	3	1	no	—
991	#123	—	3	1	no	—
992	#123	—	3	1	no	—
993	#123	—	3	1	no	—
994	#123	—	3	1	no	—
995	#123	—	3	1	no	—
996	#123	—	3	1	no	—
997	#123	—	3	1	no	—
998	#123	—	3	1	no	—
999	#123	—	3	1	no	—
1000	#123	—	3	1	no	—
1001	#123	—	3	1	no	—
1002	#123	—	3	1	no	—
1003	#123	—	3	1	no	—
1004	#123	—	3	1	no	—
1005	#123	—	3	1	no	—
1006	#123	—	3	1	no	—
1007	#123	—	3	1	no	—
1008	#123	—	3	1	no	—
1009	#123	—	3	1	no	—
1010	#123	—	3	1	no	—
1011	#123	—	3	1	no	—
1012	#123	—	3	1	no	—
1013	#123	—	3	1	no	—
1014	C₂²⋊Q₈	—	3	1	no	—
1015	C₂²⋊Q₈	—	3	1	no	—
1016	C₂²⋊Q₈	—	3	1	no	—
1017	C₂²⋊Q₈	—	3	1	no	—
1018	C₂²⋊Q₈	—	3	1	no	—
1019	C₂²⋊Q₈	—	3	1	no	—
1020	C₂²⋊Q₈	—	3	1	no	—
1021	C₂²⋊Q₈	—	3	1	no	—
1022	C₂²⋊Q₈	—	3	1	no	—
1023	C₂²⋊Q₈	—	3	1	no	—
1024	C₂²⋊Q₈	—	3	1	no	—
1025	C₂²⋊Q₈	—	3	1	no	—
1026	C₂²⋊Q₈	—	3	1	no	—
1027	C₂²⋊Q₈	—	3	1	no	—
1028	C₂²⋊Q₈	—	3	1	no	—
1029	C₂²⋊Q₈	—	3	1	no	—
1030	C₂²⋊Q₈	—	3	1	no	—
1031	C₂²⋊Q₈	—	3	1	no	—
1032	#121	—	3	1	no	—
1033	#121	—	3	1	no	—
1034	#121	—	3	1	no	—
1035	#121	—	3	1	no	—
1036	#121	—	3	1	no	—
1037	#121	—	3	1	no	—
1038	#121	—	3	1	no	—
1039	#121	—	3	1	no	—
1040	#121	—	3	1	no	—
1041	#121	—	3	1	no	—
1042	#121	—	3	1	no	—
1043	#121	—	3	1	no	—
1044	#121	—	3	1	no	—
1045	#121	—	3	1	no	—
1046	#121	—	3	1	no	—
1047	#121	—	3	1	no	—
1048	#121	—	3	1	no	—
1049	#121	—	3	1	no	—
1050	#121	—	3	1	no	—
1051	#121	—	3	1	no	—
1052	#121	—	3	1	no	—
1053	#121	—	3	1	no	—
1054	#121	—	3	1	no	—
1055	#121	—	3	1	no	—
1056	#121	—	3	1	no	—
1057	#121	—	3	1	no	—
1058	#121	C₄×D₃	1	1	yes	characteristic
1059	#121	C₄×D₃	1	1	yes	characteristic
1060	#121	C₄×D₃	1	1	yes	characteristic
1061	#121	C₄×D₃	1	1	yes	characteristic
1062	#120	—	3	1	no	—
1063	#120	—	3	1	no	—
1064	#120	—	3	1	no	—
1065	#120	—	3	1	no	—
1066	#120	—	3	1	no	—
1067	#120	—	3	1	no	—
1068	#120	—	3	1	no	—
1069	#120	—	3	1	no	—
1070	#120	—	3	1	no	—
1071	#120	—	3	1	no	—
1072	#120	—	3	1	no	—
1073	#120	—	3	1	no	—
1074	C₄×Q₈	—	3	1	no	—
1075	C₄×Q₈	—	3	1	no	—
1076	C₄×D₄	—	3	1	no	—
1077	C₄×D₄	—	3	1	no	—
1078	C₄×D₄	—	3	1	no	—
1079	C₄×D₄	—	3	1	no	—
1080	C₄×D₄	—	3	1	no	—
1081	C₄×D₄	—	3	1	no	—
1082	C₄×D₄	—	3	1	no	—
1083	C₄×D₄	—	3	1	no	—
1084	C₄×D₄	—	3	1	no	—
1085	C₄×D₄	—	3	1	no	—
1086	C₄×D₄	—	3	1	no	—
1087	C₄×D₄	—	3	1	no	—
1088	C₄×D₄	—	3	1	no	—
1089	C₄×D₄	—	3	1	no	—
1090	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1091	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1092	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1093	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
1094	#117	—	3	1	no	—
1095	#117	—	3	1	no	—
1096	#117	—	3	1	no	—
1097	#117	—	3	1	no	—
1098	#117	—	3	1	no	—
1099	#117	—	3	1	no	—
1100	C₂×C₄²	—	3	1	no	—
1101	C₂×C₄²	—	3	1	no	—
1102	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
1103	C₄⋊C₈	—	3	1	no	—
1104	C₄⋊C₈	—	3	1	no	—
1105	C₄⋊C₈	—	3	1	no	—
1106	C₄⋊C₈	—	3	1	no	—
1107	C₄⋊C₈	—	3	1	no	—
1108	C₄⋊C₈	—	3	1	no	—
1109	C₄⋊C₈	—	3	1	no	—
1110	C₄⋊C₈	—	3	1	no	—
1111	C₄⋊C₈	—	3	1	no	—
1112	C₄⋊C₈	—	3	1	no	—
1113	C₄⋊C₈	—	3	1	no	—
1114	C₄⋊C₈	—	3	1	no	—
1115	C₄⋊C₈	—	3	1	no	—
1116	C₄⋊C₈	—	3	1	no	—
1117	C₄⋊C₈	—	3	1	no	—
1118	C₄⋊C₈	—	3	1	no	—
1119	C₄⋊C₈	—	3	1	no	—
1120	C₄⋊C₈	—	3	1	no	—
1121	C₄⋊C₈	—	3	1	no	—
1122	C₄⋊C₈	—	3	1	no	—
1123	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1124	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1125	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1126	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
1127	C₂²⋊C₈	—	3	1	no	—
1128	C₂²⋊C₈	—	3	1	no	—
1129	C₂²⋊C₈	—	3	1	no	—
1130	C₂²⋊C₈	—	3	1	no	—
1131	C₂²⋊C₈	—	3	1	no	—
1132	C₂²⋊C₈	—	3	1	no	—
1133	C₂²⋊C₈	—	3	1	no	—
1134	C₂²⋊C₈	—	3	1	no	—
1135	C₂²⋊C₈	—	3	1	no	—
1136	C₂²⋊C₈	—	3	1	no	—
1137	C₂²⋊C₈	—	3	1	no	—
1138	C₂²⋊C₈	—	3	1	no	—
1139	C₂²⋊C₈	—	3	1	no	—
1140	C₂²⋊C₈	—	3	1	no	—
1141	C₂²⋊C₈	—	3	1	no	—
1142	C₂²⋊C₈	—	3	1	no	—
1143	C₂²⋊C₈	—	3	1	no	—
1144	C₂²⋊C₈	—	3	1	no	—
1145	C₂²⋊C₈	—	3	1	no	—
1146	C₂²⋊C₈	—	3	1	no	—
1147	C₂²⋊C₈	—	3	1	no	—
1148	C₂²⋊C₈	—	3	1	no	—
1149	C₂²⋊C₈	—	3	1	no	—
1150	C₂²⋊C₈	—	3	1	no	—
1151	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1152	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1153	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1154	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1155	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1156	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1157	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1158	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1159	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1160	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1161	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1162	C₂²⋊C₈	C₂²×D₃	1	1	yes	characteristic
1163	#97	—	3	1	no	—
1164	#97	—	3	1	no	—
1165	#97	—	3	1	no	—
1166	#97	—	3	1	no	—
1167	#97	—	3	1	no	—
1168	#97	—	3	1	no	—
1169	#97	—	3	1	no	—
1170	#97	—	3	1	no	—
1171	#97	—	3	1	no	—
1172	#97	—	3	1	no	—
1173	#97	C₂²×D₃	1	1	yes	characteristic
1174	#97	C₂²×D₃	1	1	yes	characteristic
1175	C₄×C₈	—	3	1	no	—
1176	C₄×C₈	—	3	1	no	—
1177	C₄×C₈	—	3	1	no	—
1178	C₄×C₈	—	3	1	no	—
1179	C₄×C₈	—	3	1	no	—
1180	C₄×C₈	—	3	1	no	—
1181	C₄×C₈	—	3	1	no	—
1182	C₄×C₈	—	3	1	no	—
1183	C₄×C₈	—	3	1	no	—
1184	C₄×C₈	—	3	1	no	—
1185	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1186	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
1187	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1188	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1189	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1190	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1191	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
1192	C₂²×D₃	—	4	1	no	—
1193	C₂²×D₃	—	4	1	no	—
1194	C₂²×D₃	—	4	1	no	—
1195	C₂²×D₃	—	4	1	no	—
1196	C₂²×D₃	—	4	1	no	—
1197	C₂²×D₃	—	4	1	no	—
1198	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1199	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1200	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1201	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
1202	C₃×Q₈	—	4	1	no	—
1203	C₃×Q₈	—	4	1	no	—
1204	C₃×D₄	—	4	1	no	—
1205	C₃×D₄	—	4	1	no	—
1206	C₃×D₄	—	4	1	no	—
1207	C₃×D₄	—	4	1	no	—
1208	C₃×D₄	—	4	1	no	—
1209	C₃×D₄	—	4	1	no	—
1210	C₃×D₄	—	4	1	no	—
1211	C₃×D₄	—	4	1	no	—
1212	C₃×D₄	—	4	1	no	—
1213	C₃×D₄	—	4	1	no	—
1214	C₂×C₃×C₄	—	2	1	no	—
1215	C₂×C₃×C₄	—	2	1	no	—
1216	C₂×C₃×C₄	—	2	1	no	—
1217	C₂×C₃×C₄	—	2	1	no	—
1218	C₂×C₃×C₄	—	2	1	no	—
1219	C₂×C₃×C₄	—	2	1	no	—
1220	C₂×C₃×C₄	—	2	1	no	—
1221	C₂×C₃×C₄	—	2	1	no	—
1222	C₂×C₃×C₄	—	2	1	no	—
1223	C₂×C₃×C₄	—	2	1	no	—
1224	C₂×C₃×C₄	—	4	1	no	—
1225	C₂×C₃×C₄	—	4	1	no	—
1226	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1227	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1228	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1229	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1230	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1231	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1232	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1233	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1234	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
1235	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1236	#67	—	4	1	no	—
1237	#67	—	4	1	no	—
1238	#67	—	4	1	no	—
1239	#67	—	4	1	no	—
1240	#67	—	4	1	no	—
1241	#67	—	4	1	no	—
1242	#67	—	4	1	no	—
1243	#67	—	4	1	no	—
1244	#67	—	4	1	no	—
1245	#67	—	4	1	no	—
1246	#67	—	4	1	no	—
1247	#67	—	4	1	no	—
1248	#67	—	4	1	no	—
1249	#67	—	4	1	no	—
1250	#67	—	4	1	no	—
1251	#67	—	4	1	no	—
1252	C₂×Dic₃	—	4	1	no	—
1253	C₂×Dic₃	—	4	1	no	—
1254	C₂×Dic₃	—	4	1	no	—
1255	C₂×Dic₃	—	4	1	no	—
1256	C₂×Dic₃	—	4	1	no	—
1257	C₂×Dic₃	—	4	1	no	—
1258	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1259	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1260	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1261	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1262	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1263	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1264	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1265	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1266	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1267	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1268	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1269	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
1270	D₁₂	—	4	1	no	—
1271	D₁₂	—	4	1	no	—
1272	D₁₂	—	4	1	no	—
1273	D₁₂	—	4	1	no	—
1274	C₄×D₃	—	2	1	no	—
1275	C₄×D₃	—	2	1	no	—
1276	C₄×D₃	—	2	1	no	—
1277	C₄×D₃	—	2	1	no	—
1278	C₄×D₃	—	2	1	no	—
1279	C₄×D₃	—	2	1	no	—
1280	C₄×D₃	—	2	1	no	—
1281	C₄×D₃	—	2	1	no	—
1282	C₄×D₃	—	4	1	no	—
1283	C₄×D₃	—	4	1	no	—
1284	C₄×D₃	—	4	1	no	—
1285	C₄×D₃	—	4	1	no	—
1286	Dic₆	—	4	1	no	—
1287	Dic₆	—	4	1	no	—
1288	Dic₆	—	4	1	no	—
1289	Dic₆	—	4	1	no	—
1290	C₃×C₈	—	2	1	no	—
1291	C₃×C₈	—	2	1	no	—
1292	C₃×C₈	—	2	1	no	—
1293	C₃×C₈	—	2	1	no	—
1294	C₃×C₈	—	2	1	no	—
1295	C₃×C₈	—	2	1	no	—
1296	C₃×C₈	—	2	1	no	—
1297	C₃×C₈	—	2	1	no	—
1298	C₃⋊C₈	—	2	1	no	—
1299	C₃⋊C₈	—	2	1	no	—
1300	C₃⋊C₈	—	2	1	no	—
1301	C₃⋊C₈	—	2	1	no	—
1302	C₃⋊C₈	—	2	1	no	—
1303	C₃⋊C₈	—	2	1	no	—
1304	C₃⋊C₈	—	2	1	no	—
1305	C₃⋊C₈	H(5,𝔽₂)	1	2	yes	—
1306	C₂⁴	—	3	1	no	—
1307	C₂⁴	—	3	1	no	—
1308	#41	—	4	1	no	—
1309	#41	—	4	1	no	—
1310	#41	—	4	1	no	—
1311	#41	—	4	1	no	—
1312	#41	—	12	1	no	—
1313	#41	—	12	1	no	—
1314	#41	—	12	1	no	—
1315	#41	—	12	1	no	—
1316	C₂×Q₈	—	3	1	no	—
1317	C₂×Q₈	—	3	1	no	—
1318	C₂×Q₈	—	3	1	no	—
1319	C₂×Q₈	—	3	1	no	—
1320	C₂×Q₈	C₂×C₄×D₃	1	1	yes	characteristic
1321	C₂×Q₈	C₂×C₄×D₃	1	1	yes	characteristic
1322	C₂×D₄	—	3	1	no	—
1323	C₂×D₄	—	3	1	no	—
1324	C₂×D₄	—	3	1	no	—
1325	C₂×D₄	—	3	1	no	—
1326	C₂×D₄	—	3	1	no	—
1327	C₂×D₄	—	3	1	no	—
1328	C₂×D₄	—	3	1	no	—
1329	C₂×D₄	—	3	1	no	—
1330	C₂×D₄	—	3	1	no	—
1331	C₂×D₄	—	3	1	no	—
1332	C₂×D₄	—	3	1	no	—
1333	C₂×D₄	—	3	1	no	—
1334	C₂×D₄	—	3	1	no	—
1335	C₂×D₄	—	3	1	no	—
1336	C₂×D₄	—	3	1	no	—
1337	C₂×D₄	—	3	1	no	—
1338	C₂×D₄	—	3	1	no	—
1339	C₂×D₄	—	3	1	no	—
1340	C₂×D₄	—	3	1	no	—
1341	C₂×D₄	—	3	1	no	—
1342	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1343	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1344	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1345	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1346	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1347	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1348	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1349	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1350	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1351	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1352	C₂²×C₄	—	3	1	no	—
1353	C₂²×C₄	—	3	1	no	—
1354	C₂²×C₄	—	3	1	no	—
1355	C₂²×C₄	—	3	1	no	—
1356	C₂²×C₄	—	3	1	no	—
1357	C₂²×C₄	—	3	1	no	—
1358	C₂²×C₄	—	3	1	no	—
1359	C₂²×C₄	—	3	1	no	—
1360	C₂²×C₄	—	3	1	no	—
1361	C₂²×C₄	—	3	1	no	—
1362	C₂²×C₄	—	3	1	no	—
1363	C₂²×C₄	—	3	1	no	—
1364	C₂²×C₄	—	3	1	no	—
1365	C₂²×C₄	—	3	1	no	—
1366	C₂²×C₄	—	12	1	no	—
1367	C₂²×C₄	—	12	1	no	—
1368	C₂²×C₄	—	12	1	no	—
1369	C₂²×C₄	—	12	1	no	—
1370	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1371	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1372	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1373	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1374	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1375	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1376	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1377	M₁₆	—	4	1	no	—
1378	M₁₆	—	4	1	no	—
1379	M₁₆	—	4	1	no	—
1380	M₁₆	—	4	1	no	—
1381	M₁₆	—	6	2	no	—
1382	M₁₆	—	6	2	no	—
1383	M₁₆	—	6	2	no	—
1384	M₁₆	—	6	2	no	—
1385	M₁₆	—	12	1	no	—
1386	M₁₆	—	12	1	no	—
1387	M₁₆	—	12	1	no	—
1388	M₁₆	—	12	1	no	—
1389	M₁₆	—	12	1	no	—
1390	M₁₆	—	12	1	no	—
1391	M₁₆	—	12	1	no	—
1392	M₁₆	—	12	1	no	—
1393	M₁₆	—	12	1	no	—
1394	M₁₆	—	12	1	no	—
1395	C₂×C₈	—	3	1	no	—
1396	C₂×C₈	—	3	1	no	—
1397	C₂×C₈	—	3	1	no	—
1398	C₂×C₈	—	3	1	no	—
1399	C₂×C₈	—	3	1	no	—
1400	C₂×C₈	—	3	1	no	—
1401	C₂×C₈	—	3	1	no	—
1402	C₂×C₈	—	3	1	no	—
1403	C₂×C₈	—	4	1	no	—
1404	C₂×C₈	—	4	1	no	—
1405	C₂×C₈	—	4	1	no	—
1406	C₂×C₈	—	4	1	no	—
1407	C₂×C₈	—	6	2	no	—
1408	C₂×C₈	—	6	2	no	—
1409	C₂×C₈	—	6	2	no	—
1410	C₂×C₈	—	6	2	no	—
1411	C₂×C₈	—	6	2	no	—
1412	C₂×C₈	—	12	1	no	—
1413	C₂×C₈	—	12	1	no	—
1414	C₂×C₈	—	12	1	no	—
1415	C₂×C₈	—	12	1	no	—
1416	C₂×C₈	—	12	1	no	—
1417	C₂×C₈	—	12	1	no	—
1418	C₂×C₈	—	12	1	no	—
1419	C₂×C₈	—	12	1	no	—
1420	C₂×C₈	—	12	1	no	—
1421	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1422	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1423	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1424	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1425	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1426	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1427	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1428	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
1429	C₄⋊C₄	—	3	1	no	—
1430	C₄⋊C₄	—	3	1	no	—
1431	C₄⋊C₄	—	3	1	no	—
1432	C₄⋊C₄	—	3	1	no	—
1433	C₄⋊C₄	—	3	1	no	—
1434	C₄⋊C₄	—	3	1	no	—
1435	C₄⋊C₄	—	3	1	no	—
1436	C₄⋊C₄	—	3	1	no	—
1437	C₄⋊C₄	—	3	1	no	—
1438	C₄⋊C₄	—	3	1	no	—
1439	C₄⋊C₄	—	3	1	no	—
1440	C₄⋊C₄	—	3	1	no	—
1441	C₄⋊C₄	—	3	1	no	—
1442	C₄⋊C₄	—	3	1	no	—
1443	C₄⋊C₄	—	3	1	no	—
1444	C₄⋊C₄	—	3	1	no	—
1445	C₄⋊C₄	—	3	1	no	—
1446	C₄⋊C₄	—	3	1	no	—
1447	C₄⋊C₄	—	3	1	no	—
1448	C₄⋊C₄	—	3	1	no	—
1449	C₄⋊C₄	—	3	1	no	—
1450	C₄⋊C₄	—	3	1	no	—
1451	C₄⋊C₄	—	3	1	no	—
1452	C₄⋊C₄	—	3	1	no	—
1453	C₄⋊C₄	—	3	1	no	—
1454	C₄⋊C₄	—	3	1	no	—
1455	C₄⋊C₄	—	3	1	no	—
1456	C₄⋊C₄	—	3	1	no	—
1457	C₄⋊C₄	—	3	1	no	—
1458	C₄⋊C₄	—	3	1	no	—
1459	C₄⋊C₄	—	3	1	no	—
1460	C₄⋊C₄	—	3	1	no	—
1461	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1462	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1463	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1464	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1465	C₂²⋊C₄	—	3	1	no	—
1466	C₂²⋊C₄	—	3	1	no	—
1467	C₂²⋊C₄	—	3	1	no	—
1468	C₂²⋊C₄	—	3	1	no	—
1469	C₂²⋊C₄	—	3	1	no	—
1470	C₂²⋊C₄	—	3	1	no	—
1471	C₂²⋊C₄	—	3	1	no	—
1472	C₂²⋊C₄	—	3	1	no	—
1473	C₂²⋊C₄	—	3	1	no	—
1474	C₂²⋊C₄	—	3	1	no	—
1475	C₂²⋊C₄	—	3	1	no	—
1476	C₂²⋊C₄	—	3	1	no	—
1477	C₂²⋊C₄	—	3	1	no	—
1478	C₂²⋊C₄	—	3	1	no	—
1479	C₂²⋊C₄	—	3	1	no	—
1480	C₂²⋊C₄	—	3	1	no	—
1481	C₂²⋊C₄	—	3	1	no	—
1482	C₂²⋊C₄	—	3	1	no	—
1483	C₂²⋊C₄	—	3	1	no	—
1484	C₂²⋊C₄	—	3	1	no	—
1485	C₂²⋊C₄	—	3	1	no	—
1486	C₂²⋊C₄	—	3	1	no	—
1487	C₂²⋊C₄	—	3	1	no	—
1488	C₂²⋊C₄	—	3	1	no	—
1489	C₂²⋊C₄	—	3	1	no	—
1490	C₂²⋊C₄	—	3	1	no	—
1491	C₂²⋊C₄	—	3	1	no	—
1492	C₂²⋊C₄	—	3	1	no	—
1493	C₂²⋊C₄	—	3	1	no	—
1494	C₂²⋊C₄	—	3	1	no	—
1495	C₂²⋊C₄	—	3	1	no	—
1496	C₂²⋊C₄	—	3	1	no	—
1497	C₂²⋊C₄	—	3	1	no	—
1498	C₂²⋊C₄	—	3	1	no	—
1499	C₂²⋊C₄	—	3	1	no	—
1500	C₂²⋊C₄	—	3	1	no	—
1501	C₂²⋊C₄	—	3	1	no	—
1502	C₂²⋊C₄	—	3	1	no	—
1503	C₂²⋊C₄	—	3	1	no	—
1504	C₂²⋊C₄	—	3	1	no	—
1505	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1506	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1507	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1508	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1509	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1510	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1511	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1512	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1513	C₄²	—	3	1	no	—
1514	C₄²	—	3	1	no	—
1515	C₄²	—	3	1	no	—
1516	C₄²	—	3	1	no	—
1517	C₄²	—	3	1	no	—
1518	C₄²	—	3	1	no	—
1519	C₄²	—	3	1	no	—
1520	C₄²	—	3	1	no	—
1521	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1522	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1523	C₄²	C₂³×D₃	1	1	yes	characteristic
1524	C₄²	C₂³×D₃	1	1	yes	characteristic
1525	C₂²×C₃	—	2	1	no	—
1526	C₂²×C₃	—	2	1	no	—
1527	C₂²×C₃	—	2	1	no	—
1528	C₂²×C₃	—	2	1	no	—
1529	C₂²×C₃	—	2	1	no	—
1530	C₂²×C₃	—	2	1	no	—
1531	C₂²×C₃	—	2	1	no	—
1532	C₂²×C₃	—	2	1	no	—
1533	C₂²×C₃	—	2	1	no	—
1534	C₂²×C₃	—	2	1	no	—
1535	C₂²×C₃	—	2	1	no	—
1536	C₂²×C₃	—	2	1	no	—
1537	C₂²×C₃	—	2	1	no	—
1538	C₂²×C₃	—	2	1	no	—
1539	C₂²×C₃	—	2	1	no	—
1540	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1541	C₂×D₃	—	2	1	no	—
1542	C₂×D₃	—	2	1	no	—
1543	C₂×D₃	—	2	1	no	—
1544	C₂×D₃	—	2	1	no	—
1545	C₂×D₃	—	2	1	no	—
1546	C₂×D₃	—	2	1	no	—
1547	C₂×D₃	—	2	1	no	—
1548	C₂×D₃	—	2	1	no	—
1549	C₂×D₃	—	2	1	no	—
1550	C₂×D₃	—	2	1	no	—
1551	C₂×D₃	—	2	1	no	—
1552	C₂×D₃	—	2	1	no	—
1553	C₂×D₃	—	4	4	no	—
1554	C₂×D₃	—	8	2	no	—
1555	C₃×C₄	—	2	1	no	—
1556	C₃×C₄	—	2	1	no	—
1557	C₃×C₄	—	2	1	no	—
1558	C₃×C₄	—	2	1	no	—
1559	C₃×C₄	—	2	1	no	—
1560	C₃×C₄	—	2	1	no	—
1561	C₃×C₄	—	2	1	no	—
1562	C₃×C₄	—	2	1	no	—
1563	C₃×C₄	—	2	1	no	—
1564	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1565	C₃×C₄	#585	1	1	yes	characteristic
1566	Dic₃	—	2	1	no	—
1567	Dic₃	—	2	1	no	—
1568	Dic₃	—	2	1	no	—
1569	Dic₃	—	2	1	no	—
1570	Dic₃	—	2	1	no	—
1571	Dic₃	—	2	1	no	—
1572	Dic₃	—	2	1	no	—
1573	Dic₃	—	2	1	no	—
1574	Dic₃	—	2	1	no	—
1575	Dic₃	—	2	1	no	—
1576	Dic₃	—	2	1	no	—
1577	Dic₃	—	2	1	no	—
1578	C₂³	—	3	1	no	—
1579	C₂³	—	3	1	no	—
1580	C₂³	—	3	1	no	—
1581	C₂³	—	3	1	no	—
1582	C₂³	—	12	1	no	—
1583	C₂³	—	12	1	no	—
1584	C₂³	—	12	1	no	—
1585	C₂³	—	12	1	no	—
1586	C₂³	—	12	1	no	—
1587	C₂³	—	12	1	no	—
1588	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1589	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1590	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1591	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1592	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1593	Q₈	—	4	1	no	—
1594	Q₈	—	4	1	no	—
1595	Q₈	—	12	1	no	—
1596	Q₈	—	12	1	no	—
1597	Q₈	—	12	1	no	—
1598	Q₈	—	12	1	no	—
1599	D₄	—	4	1	no	—
1600	D₄	—	4	1	no	—
1601	D₄	—	4	1	no	—
1602	D₄	—	4	1	no	—
1603	D₄	—	4	1	no	—
1604	D₄	—	4	1	no	—
1605	D₄	—	4	1	no	—
1606	D₄	—	4	1	no	—
1607	D₄	—	4	1	no	—
1608	D₄	—	4	1	no	—
1609	D₄	—	12	1	no	—
1610	D₄	—	12	1	no	—
1611	D₄	—	12	1	no	—
1612	D₄	—	12	1	no	—
1613	D₄	—	12	1	no	—
1614	D₄	—	12	1	no	—
1615	D₄	—	12	1	no	—
1616	D₄	—	12	1	no	—
1617	D₄	—	12	1	no	—
1618	D₄	—	12	1	no	—
1619	D₄	—	12	1	no	—
1620	D₄	—	12	1	no	—
1621	D₄	—	12	1	no	—
1622	D₄	—	12	1	no	—
1623	D₄	—	12	1	no	—
1624	D₄	—	12	1	no	—
1625	D₄	—	12	1	no	—
1626	D₄	—	12	1	no	—
1627	D₄	—	12	1	no	—
1628	D₄	—	12	1	no	—
1629	C₂×C₄	—	2	1	no	—
1630	C₂×C₄	—	2	1	no	—
1631	C₂×C₄	—	2	1	no	—
1632	C₂×C₄	—	2	1	no	—
1633	C₂×C₄	—	2	1	no	—
1634	C₂×C₄	—	2	1	no	—
1635	C₂×C₄	—	2	1	no	—
1636	C₂×C₄	—	2	1	no	—
1637	C₂×C₄	—	2	1	no	—
1638	C₂×C₄	—	2	1	no	—
1639	C₂×C₄	—	3	1	no	—
1640	C₂×C₄	—	3	1	no	—
1641	C₂×C₄	—	3	1	no	—
1642	C₂×C₄	—	3	1	no	—
1643	C₂×C₄	—	3	1	no	—
1644	C₂×C₄	—	3	1	no	—
1645	C₂×C₄	—	3	1	no	—
1646	C₂×C₄	—	3	1	no	—
1647	C₂×C₄	—	3	1	no	—
1648	C₂×C₄	—	3	1	no	—
1649	C₂×C₄	—	3	1	no	—
1650	C₂×C₄	—	3	1	no	—
1651	C₂×C₄	—	4	1	no	—
1652	C₂×C₄	—	4	1	no	—
1653	C₂×C₄	—	6	1	no	—
1654	C₂×C₄	—	6	1	no	—
1655	C₂×C₄	—	6	1	no	—
1656	C₂×C₄	—	6	1	no	—
1657	C₂×C₄	—	6	1	no	—
1658	C₂×C₄	—	6	1	no	—
1659	C₂×C₄	—	6	1	no	—
1660	C₂×C₄	—	6	1	no	—
1661	C₂×C₄	—	12	1	no	—
1662	C₂×C₄	—	12	1	no	—
1663	C₂×C₄	—	12	1	no	—
1664	C₂×C₄	—	12	1	no	—
1665	C₂×C₄	—	12	1	no	—
1666	C₂×C₄	—	12	1	no	—
1667	C₂×C₄	—	12	1	no	—
1668	C₂×C₄	—	12	1	no	—
1669	C₂×C₄	—	12	1	no	—
1670	C₂×C₄	—	12	1	no	—
1671	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1672	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1673	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1674	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1675	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1676	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1677	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1678	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1679	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1680	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1681	C₈	—	2	1	no	—
1682	C₈	—	2	1	no	—
1683	C₈	—	2	1	no	—
1684	C₈	—	2	1	no	—
1685	C₈	—	2	1	no	—
1686	C₈	—	2	1	no	—
1687	C₈	—	2	1	no	—
1688	C₈	—	2	1	no	—
1689	C₈	—	3	2	no	—
1690	C₈	—	6	1	no	—
1691	C₈	—	6	1	no	—
1692	C₈	—	6	1	no	—
1693	C₈	—	6	1	no	—
1694	C₈	—	6	1	no	—
1695	C₈	—	6	1	no	—
1696	C₈	—	6	1	no	—
1697	C₂×C₃	—	4	1	no	—
1698	C₂×C₃	—	4	1	no	—
1699	C₂×C₃	—	4	1	no	—
1700	C₂×C₃	—	4	1	no	—
1701	C₂×C₃	—	4	1	no	—
1702	C₂×C₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1703	C₂×C₃	#3573	1	1	yes	characteristic
1704	C₂×C₃	#3573	1	1	yes	characteristic
1705	D₃	—	4	1	no	—
1706	D₃	—	4	1	no	—
1707	D₃	—	4	1	no	—
1708	D₃	—	4	1	no	—
1709	C₂²	—	2	1	no	—
1710	C₂²	—	2	1	no	—
1711	C₂²	—	2	1	no	—
1712	C₂²	—	2	1	no	—
1713	C₂²	—	2	1	no	—
1714	C₂²	—	2	1	no	—
1715	C₂²	—	2	1	no	—
1716	C₂²	—	2	1	no	—
1717	C₂²	—	2	1	no	—
1718	C₂²	—	2	1	no	—
1719	C₂²	—	2	1	no	—
1720	C₂²	—	2	1	no	—
1721	C₂²	—	2	1	no	—
1722	C₂²	—	2	1	no	—
1723	C₂²	—	2	1	no	—
1724	C₂²	—	6	1	no	—
1725	C₂²	—	6	1	no	—
1726	C₂²	—	6	1	no	—
1727	C₂²	—	6	1	no	—
1728	C₂²	—	6	1	no	—
1729	C₂²	—	6	1	no	—
1730	C₂²	—	6	1	no	—
1731	C₂²	—	6	1	no	—
1732	C₂²	—	6	1	no	—
1733	C₂²	—	6	1	no	—
1734	C₂²	—	6	1	no	—
1735	C₂²	—	6	1	no	—
1736	C₂²	—	12	4	no	—
1737	C₂²	—	24	2	no	—
1738	C₂²	C₂³×C₄×D₃	1	1	yes	characteristic
1739	C₄	—	2	1	no	—
1740	C₄	—	2	1	no	—
1741	C₄	—	2	1	no	—
1742	C₄	—	2	1	no	—
1743	C₄	—	2	1	no	—
1744	C₄	—	2	1	no	—
1745	C₄	—	2	1	no	—
1746	C₄	—	2	1	no	—
1747	C₄	—	2	1	no	—
1748	C₄	—	6	1	no	—
1749	C₄	—	6	1	no	—
1750	C₄	—	6	1	no	—
1751	C₄	—	6	1	no	—
1752	C₄	—	6	1	no	—
1753	C₄	—	6	1	no	—
1754	C₄	—	6	1	no	—
1755	C₄	—	6	1	no	—
1756	C₄	—	6	1	no	—
1757	C₄	—	6	1	no	—
1758	C₄	—	6	1	no	—
1759	C₄	—	6	1	no	—
1760	C₄	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1761	C₄	#5966	1	1	yes	characteristic
1762	C₃	#60315	1	1	yes	characteristic, complemented, Sylow
1763	C₂	—	4	1	no	—
1764	C₂	—	4	1	no	—
1765	C₂	—	4	1	no	—
1766	C₂	—	4	1	no	—
1767	C₂	—	4	1	no	—
1768	C₂	—	12	1	no	—
1769	C₂	—	12	1	no	—
1770	C₂	—	12	1	no	—
1771	C₂	—	12	1	no	—
1772	C₂	#85857	1	1	yes	characteristic
1773	C₂	#87160	1	1	yes	characteristic
1774	C₂	#87166	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₃
commutator, socle	C₂²×C₃	C₂⁴×C₄
Fitting	C₃×#2981	C₂
prime radical	#86248	C₂
cosocle	C₂×C₃×C₄	C₂⁵
hypercenter	#2981	D₃
hypocenter	C₃	#60315
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₄ ◁ #2981

Complements

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

N	H ≅ G/N	type
2. C₃×#2981	C₂	semidirect
3. #83277	C₂	semidirect
4. #79545	C₂	semidirect
5. #79537	C₂	semidirect
6. #79525	C₂	semidirect
7. #79520	C₂	semidirect
8. #79490	C₂	semidirect
9. #79487	C₂	semidirect
10. #79482	C₂	semidirect
11. #79478	C₂	semidirect
12. #79466	C₂	semidirect
13. #79465	C₂	semidirect
14. #79457	C₂	semidirect
15. #79455	C₂	semidirect
16. #79429	C₂	semidirect
17. #79421	C₂	semidirect
18. #79407	C₂	semidirect
19. #79402	C₂	semidirect
20. #79341	C₂	semidirect
21. #79326	C₂	semidirect
22. #79296	C₂	semidirect
23. #79280	C₂	semidirect
24. #78669	C₂	semidirect
25. #78667	C₂	semidirect
26. #78666	C₂	semidirect
27. #78664	C₂	semidirect
28. #78660	C₂	semidirect
29. #78659	C₂	semidirect
30. #78658	C₂	semidirect
31. #78655	C₂	semidirect
39. C₂×#948	C₂²	semidirect
41. C₂×D₃×M₁₆	C₂²	semidirect
43. C₂²×D₃×C₈	C₂²	semidirect
70. C₃×#436	C₂²	semidirect
71. C₃×#436	C₂²	semidirect
72. C₃×#435	C₂²	semidirect
73. C₃×#435	C₂²	semidirect
74. C₃×#435	C₂²	semidirect
75. C₃×#435	C₂²	semidirect
76. C₃×C₈×D₄	C₂²	semidirect
77. C₃×C₈×D₄	C₂²	semidirect
78. C₃×#432	C₂²	semidirect
79. C₃×#431	C₂²	semidirect
82. C₃×#408	C₂²	semidirect
83. C₃×#408	C₂²	semidirect
85. #5234	C₂²	semidirect
90. #5128	C₂²	semidirect
91. #5128	C₂²	semidirect
92. #5128	C₂²	semidirect
94. #5127	C₂²	semidirect
95. #5126	C₂²	semidirect
96. #5122	C₂²	semidirect
97. #5119	C₂²	semidirect
98. #5118	C₂²	semidirect
99. Dic₃×M₁₆	C₂²	semidirect
103. #5111	C₂²	semidirect
106. C₈×#67	C₂²	semidirect
107. C₈×#67	C₂²	semidirect
108. C₈×#67	C₂²	semidirect
109. C₂×(C₂×D₃)⋊C₈	C₂²	semidirect
110. #5102	C₂²	semidirect
111. #5101	C₂²	semidirect
112. C₂×#815	C₂²	semidirect
113. C₂×Dic₃⋊C₈	C₂²	semidirect
114. #5012	C₂²	semidirect
115. #5012	C₂²	semidirect
116. #5011	C₂²	semidirect
117. #5011	C₂²	semidirect
118. #5011	C₂²	semidirect
119. #5011	C₂²	semidirect
120. D₄×C₃⋊C₈	C₂²	semidirect
121. D₄×C₃⋊C₈	C₂²	semidirect
122. C₂×C₄⋊(C₃⋊C₈)	C₂²	semidirect
123. C₄×#208	C₂²	semidirect
124. #4840	C₂²	semidirect
125. #4840	C₂²	semidirect
126. #4840	C₂²	semidirect
127. #4840	C₂²	semidirect
128. #4839	C₂²	semidirect
129. #4839	C₂²	semidirect
130. #4839	C₂²	semidirect
131. #4839	C₂²	semidirect
136. #4831	C₂²	semidirect
137. #4830	C₂²	semidirect
138. #4828	C₂²	semidirect
139. #4828	C₂²	semidirect
141. #4730	C₂²	semidirect
142. #4730	C₂²	semidirect
143. #4730	C₂²	semidirect
144. #4730	C₂²	semidirect
145. #4730	C₂²	semidirect
146. #4730	C₂²	semidirect
147. #4730	C₂²	semidirect
149. #4729	C₂²	semidirect
150. #4729	C₂²	semidirect
151. #4729	C₂²	semidirect
152. #4729	C₂²	semidirect
153. #4729	C₂²	semidirect
157. #4728	C₂²	semidirect
158. #4728	C₂²	semidirect
159. #4728	C₂²	semidirect
160. #4728	C₂²	semidirect
161. #4728	C₂²	semidirect
162. #4728	C₂²	semidirect
163. #4728	C₂²	semidirect
168. #4726	C₂²	semidirect
169. #4726	C₂²	semidirect
170. #4726	C₂²	semidirect
174. #67⋊C₈	C₂²	semidirect
175. #67⋊C₈	C₂²	semidirect
176. #67⋊C₈	C₂²	semidirect
177. #67⋊C₈	C₂²	semidirect
178. #67⋊C₈	C₂²	semidirect
179. D₃×C₂²⋊C₈	C₂²	semidirect
180. #4720	C₂²	semidirect
181. #4720	C₂²	semidirect
182. #4720	C₂²	semidirect
183. #4720	C₂²	semidirect
184. #4719	C₂²	semidirect
185. #4718	C₂²	semidirect
186. #4718	C₂²	semidirect
187. #4718	C₂²	semidirect
188. #4709	C₂²	semidirect
189. #4709	C₂²	semidirect
190. #4708	C₂²	semidirect
191. #4708	C₂²	semidirect
194. #4701	C₂²	semidirect
195. #4701	C₂²	semidirect
196. #4690	C₂²	semidirect
197. #4690	C₂²	semidirect
198. #4689	C₂²	semidirect
199. #4689	C₂²	semidirect
202. #4679	C₂²	semidirect
203. C₈×Dic₆	C₂²	semidirect
212. #2981	D₃	semidirect
577. #436	C₂×D₃	semidirect
578. #436	C₂×D₃	semidirect
611. #435	C₂×D₃	semidirect
612. #435	C₂×D₃	semidirect
613. #435	C₂×D₃	semidirect
614. #435	C₂×D₃	semidirect
631. C₈×D₄	C₂×D₃	semidirect
632. C₈×D₄	C₂×D₃	semidirect
646. #432	C₂×D₃	semidirect
650. #431	C₂×D₃	semidirect
670. #408	C₂×D₃	semidirect
671. #408	C₂×D₃	semidirect
1762. C₃	#60315	semidirect

Maximal subgroups

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

subgroup	index
#86248	2
C₃×#2981	2
#83277	2
#79545	2
#79537	2
#79525	2
#79520	2
#79490	2
#79487	2
#79482	2
#79478	2
#79466	2
#79465	2
#79457	2
#79455	2
#79429	2
#79421	2
#79407	2
#79402	2
#79341	2
#79326	2
#79296	2
#79280	2
#78669	2
#78667	2
#78666	2
#78664	2
#78660	2
#78659	2
#78658	2
#78655	2
#60315	3