Subgroups — #11225901

Order 768.

1644 conjugacy classes of subgroups.

The subgroup lattice has 1332 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#2729	C₂	1	1	yes	maximal, characteristic
2	#83243	C₂	1	1	yes	maximal, characteristic, complemented
3	#83238	C₂	1	1	yes	maximal, characteristic, complemented
4	#82768	C₂	1	1	yes	maximal, characteristic
5	#82763	C₂	1	1	yes	maximal, characteristic
6	#78254	C₂	1	1	yes	maximal, characteristic, complemented
7	#78155	C₂	1	1	yes	maximal, characteristic, complemented
8	#77910	C₂	1	1	yes	maximal, characteristic, complemented
9	#77907	C₂	1	1	yes	maximal, characteristic, complemented
10	#77768	C₂	1	1	yes	maximal, characteristic, complemented
11	#77748	C₂	1	1	yes	maximal, characteristic, complemented
12	#77394	C₂	1	1	yes	maximal, characteristic
13	#77288	C₂	1	1	yes	maximal, characteristic
14	#77191	C₂	1	1	yes	maximal, characteristic, complemented
15	#77189	C₂	1	1	yes	maximal, characteristic, complemented
16	#76833	C₂	1	1	yes	maximal, characteristic
17	#76778	C₂	1	1	yes	maximal, characteristic
18	#76528	C₂	1	1	yes	maximal, characteristic, complemented
19	#76510	C₂	1	1	yes	maximal, characteristic, complemented
20	#76136	C₂	1	1	yes	maximal, characteristic, complemented
21	#75981	C₂	1	1	yes	maximal, characteristic, complemented
22	#75618	C₂	1	1	yes	maximal, characteristic
23	#75515	C₂	1	1	yes	maximal, characteristic
24	#75478	C₂	1	1	yes	maximal, characteristic
25	#75460	C₂	1	1	yes	maximal, characteristic
26	#75040	C₂	1	1	yes	maximal, characteristic, complemented
27	#74967	C₂	1	1	yes	maximal, characteristic, complemented
28	#74577	C₂	1	1	yes	maximal, characteristic
29	#74493	C₂	1	1	yes	maximal, characteristic
30	#74396	C₂	1	1	yes	maximal, characteristic
31	#74382	C₂	1	1	yes	maximal, characteristic
32	#44997	—	3	1	no	maximal, Sylow
33	C₂×C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
34	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
35	C₂×Q₈×Dic₃	C₂²	1	1	yes	characteristic
36	C₂×#944	C₂²	1	1	yes	characteristic
37	C₂×#944	C₂²	1	1	yes	characteristic
38	C₂²×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
39	C₂×#888	C₂²	1	1	yes	characteristic
40	C₂×#887	C₂²	1	1	yes	characteristic
41	C₂×#887	C₂²	1	1	yes	characteristic
42	C₂×#887	C₂²	1	1	yes	characteristic
43	C₂×#878	C₂²	1	1	yes	characteristic
44	C₂×#878	C₂²	1	1	yes	characteristic
45	C₂×#877	C₂²	1	1	yes	characteristic
46	C₂×#877	C₂²	1	1	yes	characteristic
47	C₂×C₄×Dic₆	C₂²	1	1	yes	characteristic
48	C₂×C₄×Dic₆	C₂²	1	1	yes	characteristic
49	C₃×#400	C₂²	1	1	yes	characteristic
50	C₃×#398	C₂²	1	1	yes	characteristic
51	C₃×#398	C₂²	1	1	yes	characteristic
52	C₃×#396	C₂²	1	1	yes	characteristic
53	C₃×#395	C₂²	1	1	yes	characteristic
54	C₃×#393	C₂²	1	1	yes	characteristic
55	C₃×#391	C₂²	1	1	yes	characteristic
56	C₃×#389	C₂²	1	1	yes	characteristic
57	C₃×#388	C₂²	1	1	yes	characteristic
58	C₃×#388	C₂²	1	1	yes	characteristic
59	C₃×#387	C₂²	1	1	yes	characteristic
60	C₃×#385	C₂²	1	1	yes	characteristic
61	C₃×#385	C₂²	1	1	yes	characteristic
62	#5230	C₂²	1	1	yes	characteristic
63	#5230	C₂²	1	1	yes	characteristic
64	#5230	C₂²	1	1	yes	characteristic
65	#5230	C₂²	1	1	yes	characteristic
66	#5229	C₂²	1	1	yes	characteristic
67	#5210	C₂²	1	1	yes	characteristic
68	#5210	C₂²	1	1	yes	characteristic
69	C₄×#217	C₂²	1	1	yes	characteristic
70	#4986	C₂²	1	1	yes	characteristic
71	#4984	C₂²	1	1	yes	characteristic
72	#4983	C₂²	1	1	yes	characteristic
73	#4983	C₂²	1	1	yes	characteristic
74	#4982	C₂²	1	1	yes	characteristic
75	#4982	C₂²	1	1	yes	characteristic
76	#4982	C₂²	1	1	yes	characteristic
77	#4982	C₂²	1	1	yes	characteristic
78	#4981	C₂²	1	1	yes	characteristic
79	#4981	C₂²	1	1	yes	characteristic
80	#4980	C₂²	1	1	yes	characteristic
81	#4980	C₂²	1	1	yes	characteristic
82	#4980	C₂²	1	1	yes	characteristic
83	#4980	C₂²	1	1	yes	characteristic
84	#4979	C₂²	1	1	yes	characteristic
85	#4979	C₂²	1	1	yes	characteristic
86	#4979	C₂²	1	1	yes	characteristic
87	#4978	C₂²	1	1	yes	characteristic
88	#4978	C₂²	1	1	yes	characteristic
89	#4978	C₂²	1	1	yes	characteristic
90	#4978	C₂²	1	1	yes	characteristic
91	#4978	C₂²	1	1	yes	characteristic
92	#4976	C₂²	1	1	yes	characteristic
93	#4976	C₂²	1	1	yes	characteristic
94	#4976	C₂²	1	1	yes	characteristic
95	#4976	C₂²	1	1	yes	characteristic
96	#4976	C₂²	1	1	yes	characteristic
97	#4976	C₂²	1	1	yes	characteristic
98	#4976	C₂²	1	1	yes	characteristic
99	#4976	C₂²	1	1	yes	characteristic
100	#4976	C₂²	1	1	yes	characteristic
101	#4976	C₂²	1	1	yes	characteristic
102	#4976	C₂²	1	1	yes	characteristic
103	#4975	C₂²	1	1	yes	characteristic
104	#4975	C₂²	1	1	yes	characteristic
105	#4975	C₂²	1	1	yes	characteristic
106	#4975	C₂²	1	1	yes	characteristic
107	#4975	C₂²	1	1	yes	characteristic
108	#4973	C₂²	1	1	yes	characteristic
109	#4973	C₂²	1	1	yes	characteristic
110	#4972	C₂²	1	1	yes	characteristic
111	#4972	C₂²	1	1	yes	characteristic
112	#4972	C₂²	1	1	yes	characteristic
113	#4972	C₂²	1	1	yes	characteristic
114	#4951	C₂²	1	1	yes	characteristic
115	#4951	C₂²	1	1	yes	characteristic
116	#4950	C₂²	1	1	yes	characteristic
117	#4949	C₂²	1	1	yes	characteristic
118	#4948	C₂²	1	1	yes	characteristic
119	#4948	C₂²	1	1	yes	characteristic
120	#4948	C₂²	1	1	yes	characteristic
121	#4947	C₂²	1	1	yes	characteristic
122	#4947	C₂²	1	1	yes	characteristic
123	#4946	C₂²	1	1	yes	characteristic
124	#4946	C₂²	1	1	yes	characteristic
125	#4946	C₂²	1	1	yes	characteristic
126	#4944	C₂²	1	1	yes	characteristic
127	#4944	C₂²	1	1	yes	characteristic
128	#4944	C₂²	1	1	yes	characteristic
129	#4944	C₂²	1	1	yes	characteristic
130	#4942	C₂²	1	1	yes	characteristic
131	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
132	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
133	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
134	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
135	#4933	C₂²	1	1	yes	characteristic
136	#4933	C₂²	1	1	yes	characteristic
137	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
138	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
139	#4929	C₂²	1	1	yes	characteristic
140	#4660	C₂²	1	1	yes	characteristic
141	#4659	C₂²	1	1	yes	characteristic
142	#4659	C₂²	1	1	yes	characteristic
143	#4658	C₂²	1	1	yes	characteristic
144	#4658	C₂²	1	1	yes	characteristic
145	#4657	C₂²	1	1	yes	characteristic
146	#4657	C₂²	1	1	yes	characteristic
147	#4657	C₂²	1	1	yes	characteristic
148	#4657	C₂²	1	1	yes	characteristic
149	#4657	C₂²	1	1	yes	characteristic
150	#4657	C₂²	1	1	yes	characteristic
151	#4656	C₂²	1	1	yes	characteristic
152	#4655	C₂²	1	1	yes	characteristic
153	#4655	C₂²	1	1	yes	characteristic
154	#4655	C₂²	1	1	yes	characteristic
155	#4655	C₂²	1	1	yes	characteristic
156	#4654	C₂²	1	1	yes	characteristic
157	#4654	C₂²	1	1	yes	characteristic
158	#4654	C₂²	1	1	yes	characteristic
159	#4653	C₂²	1	1	yes	characteristic
160	#4653	C₂²	1	1	yes	characteristic
161	#4653	C₂²	1	1	yes	characteristic
162	#4652	C₂²	1	1	yes	characteristic
163	#4652	C₂²	1	1	yes	characteristic
164	#4650	C₂²	1	1	yes	characteristic
165	#4650	C₂²	1	1	yes	characteristic
166	#4650	C₂²	1	1	yes	characteristic
167	#4649	C₂²	1	1	yes	characteristic
168	#4649	C₂²	1	1	yes	characteristic
169	#4649	C₂²	1	1	yes	characteristic
170	#4649	C₂²	1	1	yes	characteristic
171	#4649	C₂²	1	1	yes	characteristic
172	#4649	C₂²	1	1	yes	characteristic
173	#4649	C₂²	1	1	yes	characteristic
174	#4647	C₂²	1	1	yes	characteristic
175	#4647	C₂²	1	1	yes	characteristic
176	#4647	C₂²	1	1	yes	characteristic
177	#4647	C₂²	1	1	yes	characteristic
178	#4647	C₂²	1	1	yes	characteristic
179	#4647	C₂²	1	1	yes	characteristic
180	#4646	C₂²	1	1	yes	characteristic
181	#4646	C₂²	1	1	yes	characteristic
182	#4646	C₂²	1	1	yes	characteristic
183	#4646	C₂²	1	1	yes	characteristic
184	#4646	C₂²	1	1	yes	characteristic
185	#4646	C₂²	1	1	yes	characteristic
186	#4646	C₂²	1	1	yes	characteristic
187	#4646	C₂²	1	1	yes	characteristic
188	#2791	—	3	1	no	—
189	#2791	—	3	1	no	—
190	#2790	—	3	1	no	—
191	#2790	—	3	1	no	—
192	#2755	—	3	1	no	—
193	#2755	—	3	1	no	—
194	#2729	—	3	1	no	—
195	#2729	D₃	1	1	yes	characteristic
196	#2589	—	3	1	no	—
197	#2589	—	3	1	no	—
198	#2581	—	3	1	no	—
199	#2567	—	3	1	no	—
200	#2567	—	3	1	no	—
201	#2546	—	3	1	no	—
202	#2520	—	3	1	no	—
203	#2520	—	3	1	no	—
204	#2509	—	3	1	no	—
205	#2507	—	3	1	no	—
206	#2465	—	3	1	no	—
207	#2465	—	3	1	no	—
208	#2451	—	3	1	no	—
209	#2451	—	3	1	no	—
210	#2440	—	3	1	no	—
211	#2439	—	3	1	no	—
212	#2396	—	3	1	no	—
213	#2365	—	3	1	no	—
214	#2362	—	3	1	no	—
215	#2360	—	3	1	no	—
216	Q₈×C₄⋊C₄	—	3	1	no	—
217	#2323	—	3	1	no	—
218	#2317	—	3	1	no	—
219	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
220	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
221	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
222	C₂³×Dic₃	C₂³	1	1	yes	characteristic
223	C₂³×Dic₃	C₂³	1	1	yes	characteristic
224	C₂²×Dic₆	C₂³	1	1	yes	characteristic
225	C₂²×Dic₆	C₂³	1	1	yes	characteristic
226	C₂²×Dic₆	C₂³	1	1	yes	characteristic
227	C₂²×Dic₆	C₂³	1	1	yes	characteristic
228	C₃×C₄⋊Q₈	—	4	2	no	—
229	C₃×C₂²⋊Q₈	—	4	2	no	—
230	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
249	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
250	C₂×#217	C₂³	1	1	yes	characteristic
251	C₂×#217	C₂³	1	1	yes	characteristic
252	C₂×#217	C₂³	1	1	yes	characteristic
253	C₂×#217	C₂³	1	1	yes	characteristic
254	C₂×#217	C₂³	1	1	yes	characteristic
255	C₂×#217	C₂³	1	1	yes	characteristic
256	Q₈×Dic₃	—	4	2	no	—
257	#944	—	4	2	no	—
258	#944	—	4	2	no	—
259	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
269	C₂×Dic₃⋊C₄	—	4	2	no	—
270	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
309	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
316	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
317	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
318	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
319	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
320	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
321	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
322	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
323	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
324	#888	—	2	4	no	—
325	#887	—	2	4	no	—
326	#887	—	4	2	no	—
327	#887	—	4	2	no	—
328	#878	—	4	2	no	—
329	#878	Q₈	1	8	yes	complemented
330	#877	—	2	4	no	—
331	#877	—	4	2	no	—
332	C₄×Dic₆	—	4	2	no	—
333	C₄×Dic₆	—	4	2	no	—
334	C₃×#95	C₂³	1	1	yes	characteristic
335	C₃×#95	C₂³	1	1	yes	characteristic
336	C₃×#95	C₂³	1	1	yes	characteristic
337	C₃×#95	C₂³	1	1	yes	characteristic
338	C₃×#95	C₂³	1	1	yes	characteristic
339	C₃×#95	C₂³	1	1	yes	characteristic
340	C₃×#95	C₂³	1	1	yes	characteristic
341	C₃×#95	C₂³	1	1	yes	characteristic
342	C₃×#95	C₂³	1	1	yes	characteristic
343	C₃×#95	C₂³	1	1	yes	characteristic
344	C₃×#95	C₂³	1	1	yes	characteristic
345	C₃×#95	C₂³	1	1	yes	characteristic
346	C₃⋊#95	C₂³	1	1	yes	characteristic
347	C₃⋊#95	C₂³	1	1	yes	characteristic
348	C₃⋊#95	C₂³	1	1	yes	characteristic
349	C₃⋊#95	C₂³	1	1	yes	characteristic
350	C₃⋊#95	C₂³	1	1	yes	characteristic
351	C₃⋊#95	C₂³	1	1	yes	characteristic
352	C₃⋊#95	C₂³	1	1	yes	characteristic
353	C₃⋊#95	C₂³	1	1	yes	characteristic
354	C₃⋊#95	C₂³	1	1	yes	characteristic
355	C₃⋊#95	C₂³	1	1	yes	characteristic
356	C₃⋊#95	C₂³	1	1	yes	characteristic
357	C₃⋊#95	C₂³	1	1	yes	characteristic
358	C₃⋊#95	C₂³	1	1	yes	characteristic
359	C₃⋊#95	C₂³	1	1	yes	characteristic
360	C₃⋊#95	C₂³	1	1	yes	characteristic
361	C₃⋊#95	C₂³	1	1	yes	characteristic
362	C₃⋊#95	C₂³	1	1	yes	characteristic
363	C₃⋊#95	C₂³	1	1	yes	characteristic
364	C₃⋊#95	C₂³	1	1	yes	characteristic
365	C₃⋊#95	C₂³	1	1	yes	characteristic
366	C₃⋊#95	C₂³	1	1	yes	characteristic
367	C₃⋊#95	C₂³	1	1	yes	characteristic
368	C₃⋊#95	C₂³	1	1	yes	characteristic
369	C₃⋊#95	C₂³	1	1	yes	characteristic
370	C₃⋊#95	C₂³	1	1	yes	characteristic
371	C₃⋊#95	C₂³	1	1	yes	characteristic
372	C₃⋊#95	C₂³	1	1	yes	characteristic
373	C₃⋊#95	C₂³	1	1	yes	characteristic
374	C₃⋊#95	C₂³	1	1	yes	characteristic
375	C₃⋊#95	C₂³	1	1	yes	characteristic
376	C₃⋊#95	C₂³	1	1	yes	characteristic
377	C₃⋊#95	C₂³	1	1	yes	characteristic
378	C₃⋊#95	C₂³	1	1	yes	characteristic
379	C₃⋊#95	C₂³	1	1	yes	characteristic
380	C₃⋊#95	C₂³	1	1	yes	characteristic
381	C₃⋊#95	C₂³	1	1	yes	characteristic
382	C₃⋊#95	C₂³	1	1	yes	characteristic
383	C₃⋊#95	C₂³	1	1	yes	characteristic
384	C₃⋊#95	C₂³	1	1	yes	characteristic
385	C₃⋊#95	C₂³	1	1	yes	characteristic
386	C₃⋊#95	C₂³	1	1	yes	characteristic
387	C₃⋊#95	C₂³	1	1	yes	characteristic
388	C₃⋊#95	C₂³	1	1	yes	characteristic
389	C₃⋊#95	C₂³	1	1	yes	characteristic
390	C₂×C₄⋊Q₈	—	3	1	no	—
391	C₂×C₄⋊Q₈	—	3	1	no	—
392	C₂×C₄⋊Q₈	—	3	1	no	—
393	C₂×C₄⋊Q₈	C₂×D₃	1	1	yes	characteristic
394	C₂×C₂²⋊Q₈	—	3	1	no	—
395	C₂×C₂²⋊Q₈	—	3	1	no	—
396	C₂×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
397	C₂×C₄×Q₈	—	3	1	no	—
398	C₂×C₄×Q₈	—	3	1	no	—
399	C₂×C₄×Q₈	—	3	1	no	—
400	C₂×C₄×Q₈	—	3	1	no	—
401	C₂×C₄×Q₈	—	3	1	no	—
402	C₂×C₄×Q₈	—	3	1	no	—
403	C₂×#117	—	3	1	no	—
404	C₂×#117	—	3	1	no	—
405	C₂²×C₄⋊C₄	—	3	1	no	—
406	#400	—	3	1	no	—
407	#400	—	3	1	no	—
408	#400	—	3	1	no	—
409	#400	—	3	1	no	—
410	#400	—	3	1	no	—
411	#400	—	3	1	no	—
412	#400	C₂×D₃	1	1	yes	characteristic
413	#399	—	3	1	no	—
414	#398	—	3	1	no	—
415	#398	—	3	1	no	—
416	#398	—	3	1	no	—
417	#398	—	3	1	no	—
418	#398	—	3	1	no	—
419	#398	—	3	1	no	—
420	#398	—	3	1	no	—
421	#398	—	3	1	no	—
422	#398	—	3	1	no	—
423	#398	—	3	1	no	—
424	#398	—	3	1	no	—
425	#398	—	3	1	no	—
426	#398	—	3	1	no	—
427	#398	—	3	1	no	—
428	#398	C₂×D₃	1	1	yes	characteristic
429	#398	C₂×D₃	1	1	yes	characteristic
430	#396	—	3	1	no	—
431	#396	—	3	1	no	—
432	#396	—	3	1	no	—
433	#396	C₂×D₃	1	1	yes	characteristic
434	#395	—	3	1	no	—
435	#395	—	3	1	no	—
436	#395	—	3	1	no	—
437	#395	—	3	1	no	—
438	#395	—	3	1	no	—
439	#395	—	3	1	no	—
440	#395	—	3	1	no	—
441	#395	—	3	1	no	—
442	#395	C₂×D₃	1	1	yes	characteristic
443	#393	—	3	1	no	—
444	#393	—	3	1	no	—
445	#393	C₂×D₃	1	1	yes	characteristic
446	#391	—	3	1	no	—
447	#391	—	3	1	no	—
448	#391	—	3	1	no	—
449	#391	—	3	1	no	—
450	#391	—	3	1	no	—
451	#391	—	3	1	no	—
452	#391	—	3	1	no	—
453	#391	—	3	1	no	—
454	#391	—	3	1	no	—
455	#391	—	3	1	no	—
456	#391	—	3	1	no	—
457	#391	—	3	1	no	—
458	#391	C₂×D₃	1	1	yes	characteristic
459	#389	—	3	1	no	—
460	#389	—	3	1	no	—
461	#389	—	3	1	no	—
462	#389	—	3	1	no	—
463	#389	—	3	1	no	—
464	#389	—	3	1	no	—
465	#389	—	3	1	no	—
466	#389	—	3	1	no	—
467	#389	—	3	1	no	—
468	#389	—	3	1	no	—
469	#389	—	3	1	no	—
470	#389	—	3	1	no	—
471	#389	—	3	1	no	—
472	#389	—	3	1	no	—
473	#389	—	3	1	no	—
474	#389	—	3	1	no	—
475	#389	—	3	1	no	—
476	#389	—	3	1	no	—
477	#389	—	3	1	no	—
478	#389	—	3	1	no	—
479	#389	—	3	1	no	—
480	#389	—	3	1	no	—
481	#389	C₂×D₃	1	1	yes	characteristic
482	#388	—	3	1	no	—
483	#388	—	3	1	no	—
484	#388	—	3	1	no	—
485	#388	—	3	1	no	—
486	#388	—	3	1	no	—
487	#388	—	3	1	no	—
488	#388	C₂×D₃	1	1	yes	characteristic
489	#388	C₂×D₃	1	1	yes	characteristic
490	#387	—	3	1	no	—
491	#387	—	3	1	no	—
492	#387	—	3	1	no	—
493	#387	—	3	1	no	—
494	#387	—	3	1	no	—
495	#387	—	3	1	no	—
496	#387	—	3	1	no	—
497	#387	—	3	1	no	—
498	#387	—	3	1	no	—
499	#387	—	3	1	no	—
500	#387	—	3	1	no	—
501	#387	—	3	1	no	—
502	#387	—	3	1	no	—
503	#387	—	3	1	no	—
504	#387	—	3	1	no	—
505	#387	—	3	1	no	—
506	#387	—	3	1	no	—
507	#387	—	3	1	no	—
508	#387	—	3	1	no	—
509	#387	—	3	1	no	—
510	#387	—	3	1	no	—
511	#387	—	3	1	no	—
512	#387	—	3	1	no	—
513	#387	C₂×D₃	1	1	yes	characteristic
514	#385	—	3	1	no	—
515	#385	—	3	1	no	—
516	#385	—	3	1	no	—
517	#385	—	3	1	no	—
518	#385	—	3	1	no	—
519	#385	—	3	1	no	—
520	#385	C₂×D₃	1	1	yes	characteristic
521	#385	C₂×D₃	1	1	yes	characteristic
522	#384	—	3	1	no	—
523	#384	—	3	1	no	—
524	#384	—	3	1	no	—
525	#384	—	3	1	no	—
526	#384	—	3	1	no	—
527	#382	—	3	1	no	—
528	#382	—	3	1	no	—
529	#382	—	3	1	no	—
530	#380	—	3	1	no	—
531	C₄×C₄⋊C₄	—	3	1	no	—
532	C₄×C₄⋊C₄	—	3	1	no	—
533	C₄×C₄⋊C₄	—	3	1	no	—
534	C₄×C₄⋊C₄	—	3	1	no	—
535	C₄×C₄⋊C₄	—	3	1	no	—
536	C₄×C₄⋊C₄	—	3	1	no	—
537	C₄×C₄⋊C₄	—	3	1	no	—
538	C₄×C₄⋊C₄	—	3	1	no	—
539	C₄×C₄⋊C₄	—	3	1	no	—
540	C₄×C₄⋊C₄	—	3	1	no	—
541	C₄×C₂²⋊C₄	—	3	1	no	—
542	C₄×C₂²⋊C₄	—	3	1	no	—
543	C₄×C₂²⋊C₄	—	3	1	no	—
544	C₄×C₂²⋊C₄	—	3	1	no	—
545	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
546	C₂×C₃×Q₈	—	2	2	no	—
547	C₂×C₃×Q₈	—	2	2	no	—
548	C₂×C₃×Q₈	—	4	1	no	—
549	C₂×C₃×Q₈	—	4	1	no	—
550	C₂×C₃×Q₈	—	4	1	no	—
551	C₂×C₃×Q₈	—	4	1	no	—
552	C₂²×C₃×C₄	—	4	1	no	—
553	C₂²×C₃×C₄	—	4	1	no	—
554	C₂²×C₃×C₄	—	4	1	no	—
555	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
556	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
557	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
558	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
559	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
560	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
561	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
562	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
563	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
564	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
565	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
566	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
567	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
568	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
569	C₂²×Dic₃	—	2	2	no	—
570	C₂²×Dic₃	—	2	2	no	—
571	C₂²×Dic₃	—	4	1	no	—
572	C₂²×Dic₃	—	4	1	no	—
573	C₂²×Dic₃	—	4	1	no	—
574	C₂²×Dic₃	C₂×Q₈	1	4	yes	—
575	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
576	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
577	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
578	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
579	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
580	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
581	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
582	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
583	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
584	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
585	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
586	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
587	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
588	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
589	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
590	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
591	C₂×Dic₆	—	2	2	no	—
592	C₂×Dic₆	—	2	2	no	—
593	C₂×Dic₆	—	2	2	no	—
594	C₂×Dic₆	—	2	2	no	—
595	C₂×Dic₆	—	2	2	no	—
596	C₂×Dic₆	—	2	2	no	—
597	C₂×Dic₆	—	2	2	no	—
598	C₂×Dic₆	—	4	1	no	—
599	C₂×Dic₆	—	4	1	no	—
600	C₂×Dic₆	—	4	1	no	—
601	C₂×Dic₆	—	4	1	no	—
602	C₂×Dic₆	C₂×Q₈	1	4	yes	—
603	C₃×C₄⋊C₄	—	2	2	no	—
604	C₃×C₄⋊C₄	—	2	2	no	—
605	C₃×C₄⋊C₄	—	2	2	no	—
606	C₃×C₄⋊C₄	—	4	1	no	—
607	C₃×C₄⋊C₄	—	4	1	no	—
608	C₃×C₄⋊C₄	—	4	1	no	—
609	C₃×C₄⋊C₄	—	4	1	no	—
610	C₃×C₄⋊C₄	—	4	1	no	—
611	C₃×C₄⋊C₄	—	4	1	no	—
612	C₃×C₄⋊C₄	—	4	1	no	—
613	C₃×C₄⋊C₄	—	4	1	no	—
614	C₃×C₄⋊C₄	—	4	1	no	—
615	C₃×C₂²⋊C₄	—	2	2	no	—
616	C₃×C₂²⋊C₄	—	2	2	no	—
617	C₃×C₂²⋊C₄	—	4	1	no	—
618	C₃×C₂²⋊C₄	—	4	1	no	—
619	C₃×C₂²⋊C₄	—	4	1	no	—
620	C₃×C₂²⋊C₄	C₂×Q₈	1	4	yes	—
621	C₃×C₄²	—	2	2	no	—
622	C₃×C₄²	—	4	1	no	—
623	#217	—	2	2	no	—
624	#217	—	2	2	no	—
625	#217	—	2	2	no	—
626	#217	—	4	1	no	—
627	#217	—	4	1	no	—
628	#217	C₂×Q₈	1	4	yes	—
629	C₄⋊Dic₃	—	2	2	no	—
630	C₄⋊Dic₃	—	2	2	no	—
631	C₄⋊Dic₃	—	4	1	no	—
632	C₄⋊Dic₃	—	4	1	no	—
633	C₄⋊Dic₃	—	4	1	no	—
634	C₄⋊Dic₃	—	4	1	no	—
635	C₄⋊Dic₃	—	4	1	no	—
636	C₄⋊Dic₃	—	4	1	no	—
637	C₄⋊Dic₃	—	4	1	no	—
638	C₄⋊Dic₃	C₂×Q₈	1	4	yes	—
639	Dic₃⋊C₄	—	2	2	no	—
640	Dic₃⋊C₄	—	2	2	no	—
641	Dic₃⋊C₄	—	2	2	no	—
642	Dic₃⋊C₄	—	2	2	no	—
643	Dic₃⋊C₄	—	2	2	no	—
644	Dic₃⋊C₄	—	2	2	no	—
645	Dic₃⋊C₄	—	2	2	no	—
646	Dic₃⋊C₄	—	2	2	no	—
647	Dic₃⋊C₄	—	2	2	no	—
648	Dic₃⋊C₄	—	2	2	no	—
649	Dic₃⋊C₄	—	2	2	no	—
650	Dic₃⋊C₄	—	2	2	no	—
651	Dic₃⋊C₄	—	2	2	no	—
652	Dic₃⋊C₄	—	4	1	no	—
653	Dic₃⋊C₄	—	4	1	no	—
654	Dic₃⋊C₄	—	4	1	no	—
655	Dic₃⋊C₄	—	4	1	no	—
656	Dic₃⋊C₄	—	4	1	no	—
657	Dic₃⋊C₄	—	4	1	no	—
658	Dic₃⋊C₄	—	4	1	no	—
659	Dic₃⋊C₄	—	4	1	no	—
660	Dic₃⋊C₄	—	4	1	no	—
661	Dic₃⋊C₄	—	4	1	no	—
662	Dic₃⋊C₄	—	4	1	no	—
663	Dic₃⋊C₄	—	4	1	no	—
664	Dic₃⋊C₄	—	4	1	no	—
665	Dic₃⋊C₄	—	4	1	no	—
666	Dic₃⋊C₄	—	4	1	no	—
667	Dic₃⋊C₄	—	4	1	no	—
668	Dic₃⋊C₄	—	4	1	no	—
669	Dic₃⋊C₄	—	4	1	no	—
670	Dic₃⋊C₄	—	4	1	no	—
671	Dic₃⋊C₄	—	4	1	no	—
672	Dic₃⋊C₄	C₂×Q₈	1	4	yes	—
673	Dic₃⋊C₄	C₂×Q₈	1	4	yes	—
674	Dic₃⋊C₄	#41	1	4	yes	—
675	C₄×Dic₃	—	2	2	no	—
676	C₄×Dic₃	—	2	2	no	—
677	C₄×Dic₃	—	2	2	no	—
678	C₄×Dic₃	—	2	2	no	—
679	C₄×Dic₃	—	2	2	no	—
680	C₄×Dic₃	—	2	2	no	—
681	C₄×Dic₃	—	2	2	no	—
682	C₄×Dic₃	—	2	2	no	—
683	C₄×Dic₃	—	2	2	no	—
684	C₄×Dic₃	—	2	2	no	—
685	C₄×Dic₃	—	2	2	no	—
686	C₄×Dic₃	—	4	1	no	—
687	C₄×Dic₃	—	4	1	no	—
688	C₄×Dic₃	—	4	1	no	—
689	C₄×Dic₃	—	4	1	no	—
690	C₄×Dic₃	—	4	1	no	—
691	C₄×Dic₃	—	4	1	no	—
692	C₄×Dic₃	—	4	1	no	—
693	C₂²×Q₈	—	3	1	no	—
694	C₂²×Q₈	—	3	1	no	—
695	C₂²×Q₈	—	3	1	no	—
696	C₂²×Q₈	—	3	1	no	—
697	C₂²×Q₈	C₂²×D₃	1	1	yes	characteristic
698	C₂²×Q₈	C₂²×D₃	1	1	yes	characteristic
699	C₂³×C₄	—	3	1	no	—
700	C₂³×C₄	—	3	1	no	—
701	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
702	C₄⋊Q₈	—	4	2	no	—
703	C₄⋊Q₈	—	6	4	no	—
704	C₄⋊Q₈	—	12	2	no	—
705	C₄⋊Q₈	—	12	2	no	—
706	C₂²⋊Q₈	—	3	8	no	—
707	C₂²⋊Q₈	—	4	2	no	—
708	C₂²⋊Q₈	—	12	2	no	—
709	C₄×Q₈	—	6	4	no	—
710	C₄×Q₈	—	12	2	no	—
711	C₄×Q₈	—	12	2	no	—
712	C₄×Q₈	—	12	2	no	—
713	C₄×Q₈	—	12	2	no	—
714	C₄×Q₈	—	12	2	no	—
715	#117	—	6	4	no	—
716	#117	—	12	2	no	—
717	C₂×C₄⋊C₄	—	3	1	no	—
718	C₂×C₄⋊C₄	—	3	1	no	—
719	C₂×C₄⋊C₄	—	3	1	no	—
720	C₂×C₄⋊C₄	—	3	1	no	—
721	C₂×C₄⋊C₄	—	3	1	no	—
722	C₂×C₄⋊C₄	—	3	1	no	—
723	C₂×C₄⋊C₄	—	3	1	no	—
724	C₂×C₄⋊C₄	—	3	1	no	—
725	C₂×C₄⋊C₄	—	3	1	no	—
726	C₂×C₄⋊C₄	—	3	1	no	—
727	C₂×C₄⋊C₄	—	3	1	no	—
728	C₂×C₄⋊C₄	—	3	1	no	—
729	C₂×C₄⋊C₄	—	3	1	no	—
730	C₂×C₄⋊C₄	—	3	1	no	—
731	C₂×C₄⋊C₄	—	3	1	no	—
732	C₂×C₄⋊C₄	—	3	1	no	—
733	C₂×C₄⋊C₄	—	3	1	no	—
734	C₂×C₄⋊C₄	—	3	1	no	—
735	C₂×C₄⋊C₄	—	3	1	no	—
736	C₂×C₄⋊C₄	—	3	1	no	—
737	C₂×C₄⋊C₄	—	3	1	no	—
738	C₂×C₄⋊C₄	—	3	1	no	—
739	C₂×C₄⋊C₄	—	3	1	no	—
740	C₂×C₄⋊C₄	—	3	1	no	—
741	C₂×C₄⋊C₄	—	3	1	no	—
742	C₂×C₄⋊C₄	—	3	1	no	—
743	C₂×C₄⋊C₄	—	3	1	no	—
744	C₂×C₄⋊C₄	—	3	1	no	—
745	C₂×C₄⋊C₄	—	3	1	no	—
746	C₂×C₄⋊C₄	—	3	1	no	—
747	C₂×C₄⋊C₄	—	3	1	no	—
748	C₂×C₄⋊C₄	—	3	1	no	—
749	C₂×C₄⋊C₄	—	3	1	no	—
750	C₂×C₄⋊C₄	—	3	1	no	—
751	C₂×C₄⋊C₄	—	3	1	no	—
752	C₂×C₄⋊C₄	—	3	1	no	—
753	C₂×C₄⋊C₄	—	3	1	no	—
754	C₂×C₄⋊C₄	—	3	1	no	—
755	C₂×C₄⋊C₄	—	3	1	no	—
756	C₂×C₄⋊C₄	—	3	1	no	—
757	C₂×C₄⋊C₄	—	3	1	no	—
758	C₂×C₄⋊C₄	—	3	1	no	—
759	C₂×C₄⋊C₄	—	3	1	no	—
760	C₂×C₄⋊C₄	—	3	1	no	—
761	C₂×C₄⋊C₄	—	3	1	no	—
762	C₂×C₄⋊C₄	—	3	1	no	—
763	C₂×C₄⋊C₄	—	12	2	no	—
764	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
765	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
766	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
767	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
768	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
769	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
770	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
771	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
772	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
773	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
774	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
775	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
776	C₂×C₂²⋊C₄	—	3	1	no	—
777	C₂×C₂²⋊C₄	—	3	1	no	—
778	C₂×C₂²⋊C₄	—	3	1	no	—
779	C₂×C₂²⋊C₄	—	3	1	no	—
780	C₂×C₂²⋊C₄	—	3	1	no	—
781	C₂×C₂²⋊C₄	—	3	1	no	—
782	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
783	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
784	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
785	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
786	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
787	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
788	C₂×C₄²	—	3	1	no	—
789	C₂×C₄²	—	3	1	no	—
790	C₂×C₄²	—	3	1	no	—
791	C₂×C₄²	—	3	1	no	—
792	C₂×C₄²	—	3	1	no	—
793	C₂×C₄²	—	3	1	no	—
794	C₂×C₄²	—	3	1	no	—
795	C₂×C₄²	—	3	1	no	—
796	C₂×C₄²	—	3	1	no	—
797	C₂×C₄²	—	3	1	no	—
798	C₂×C₄²	—	3	1	no	—
799	C₂×C₄²	—	3	1	no	—
800	C₂×C₄²	—	3	1	no	—
801	C₂×C₄²	—	3	1	no	—
802	C₂×C₄²	—	3	1	no	—
803	C₂×C₄²	—	3	1	no	—
804	C₂×C₄²	—	3	1	no	—
805	C₂×C₄²	—	3	1	no	—
806	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
807	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
808	#95	—	3	1	no	—
809	#95	—	3	1	no	—
810	#95	—	3	1	no	—
811	#95	—	3	1	no	—
812	#95	—	3	1	no	—
813	#95	—	3	1	no	—
814	#95	—	3	1	no	—
815	#95	—	3	1	no	—
816	#95	—	3	1	no	—
817	#95	—	3	1	no	—
818	#95	—	3	1	no	—
819	#95	—	3	1	no	—
820	#95	—	3	1	no	—
821	#95	—	3	1	no	—
822	#95	—	3	1	no	—
823	#95	—	3	1	no	—
824	#95	—	3	1	no	—
825	#95	—	3	1	no	—
826	#95	—	3	1	no	—
827	#95	—	3	1	no	—
828	#95	—	3	1	no	—
829	#95	—	3	1	no	—
830	#95	—	3	1	no	—
831	#95	—	3	1	no	—
832	#95	—	3	1	no	—
833	#95	—	3	1	no	—
834	#95	—	3	1	no	—
835	#95	—	3	1	no	—
836	#95	—	3	1	no	—
837	#95	—	3	1	no	—
838	#95	—	3	1	no	—
839	#95	—	3	1	no	—
840	#95	—	3	1	no	—
841	#95	—	3	1	no	—
842	#95	—	3	1	no	—
843	#95	—	3	1	no	—
844	#95	—	3	1	no	—
845	#95	—	3	1	no	—
846	#95	—	3	1	no	—
847	#95	—	3	1	no	—
848	#95	—	3	1	no	—
849	#95	—	3	1	no	—
850	#95	—	3	1	no	—
851	#95	—	3	1	no	—
852	#95	C₂²×D₃	1	1	yes	characteristic
853	#95	C₂²×D₃	1	1	yes	characteristic
854	#95	C₂²×D₃	1	1	yes	characteristic
855	#95	C₂²×D₃	1	1	yes	characteristic
856	#95	C₂²×D₃	1	1	yes	characteristic
857	#95	C₂²×D₃	1	1	yes	characteristic
858	#95	C₂²×D₃	1	1	yes	characteristic
859	#95	C₂²×D₃	1	1	yes	characteristic
860	#95	C₂²×D₃	1	1	yes	characteristic
861	#95	C₂²×D₃	1	1	yes	characteristic
862	#95	C₂²×D₃	1	1	yes	characteristic
863	#95	C₂²×D₃	1	1	yes	characteristic
864	C₂³×C₃	—	2	1	no	—
865	C₂³×C₃	—	2	1	no	—
866	C₂³×C₃	—	2	1	no	—
867	C₂³×C₃	—	2	1	no	—
868	C₂³×C₃	—	2	1	no	—
869	C₂³×C₃	—	2	1	no	—
870	C₂³×C₃	C₂²×Q₈	1	2	yes	—
871	C₂³×C₃	C₂⁵	1	1	yes	characteristic
872	C₃×Q₈	—	4	4	no	—
873	C₃×Q₈	—	8	2	no	—
874	C₂×C₃×C₄	—	2	1	no	—
875	C₂×C₃×C₄	—	2	1	no	—
876	C₂×C₃×C₄	—	2	1	no	—
877	C₂×C₃×C₄	—	2	1	no	—
878	C₂×C₃×C₄	—	2	1	no	—
879	C₂×C₃×C₄	—	2	1	no	—
880	C₂×C₃×C₄	—	2	1	no	—
881	C₂×C₃×C₄	—	2	1	no	—
882	C₂×C₃×C₄	—	2	1	no	—
883	C₂×C₃×C₄	—	2	1	no	—
884	C₂×C₃×C₄	—	2	1	no	—
885	C₂×C₃×C₄	—	2	1	no	—
886	C₂×C₃×C₄	—	2	1	no	—
887	C₂×C₃×C₄	—	2	1	no	—
888	C₂×C₃×C₄	—	2	1	no	—
889	C₂×C₃×C₄	—	2	1	no	—
890	C₂×C₃×C₄	—	2	1	no	—
891	C₂×C₃×C₄	—	2	1	no	—
892	C₂×C₃×C₄	—	2	1	no	—
893	C₂×C₃×C₄	—	2	1	no	—
894	C₂×C₃×C₄	—	2	1	no	—
895	C₂×C₃×C₄	—	2	1	no	—
896	C₂×C₃×C₄	—	2	1	no	—
897	C₂×C₃×C₄	—	2	1	no	—
898	C₂×C₃×C₄	—	2	1	no	—
899	C₂×C₃×C₄	—	2	1	no	—
900	C₂×C₃×C₄	—	2	1	no	—
901	C₂×C₃×C₄	—	2	1	no	—
902	C₂×C₃×C₄	—	2	1	no	—
903	C₂×C₃×C₄	—	2	1	no	—
904	C₂×C₃×C₄	—	2	1	no	—
905	C₂×C₃×C₄	—	2	1	no	—
906	C₂×C₃×C₄	—	2	1	no	—
907	C₂×C₃×C₄	—	2	1	no	—
908	C₂×C₃×C₄	—	2	1	no	—
909	C₂×C₃×C₄	—	2	1	no	—
910	C₂×C₃×C₄	—	2	1	no	—
911	C₂×C₃×C₄	—	2	1	no	—
912	C₂×C₃×C₄	—	8	2	no	—
913	C₂×C₃×C₄	C₂²×Q₈	1	2	yes	—
914	C₂×C₃×C₄	C₂²×Q₈	1	2	yes	—
915	C₂×C₃×C₄	C₂×#41	1	2	yes	—
916	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
917	C₂×Dic₃	—	2	1	no	—
918	C₂×Dic₃	—	2	1	no	—
919	C₂×Dic₃	—	2	1	no	—
920	C₂×Dic₃	—	2	1	no	—
921	C₂×Dic₃	—	2	1	no	—
922	C₂×Dic₃	—	2	1	no	—
923	C₂×Dic₃	—	2	1	no	—
924	C₂×Dic₃	—	2	1	no	—
925	C₂×Dic₃	—	2	1	no	—
926	C₂×Dic₃	—	2	1	no	—
927	C₂×Dic₃	—	2	1	no	—
928	C₂×Dic₃	—	2	1	no	—
929	C₂×Dic₃	—	2	8	no	—
930	C₂×Dic₃	—	2	1	no	—
931	C₂×Dic₃	—	2	1	no	—
932	C₂×Dic₃	—	2	1	no	—
933	C₂×Dic₃	—	2	1	no	—
934	C₂×Dic₃	—	2	1	no	—
935	C₂×Dic₃	—	2	1	no	—
936	C₂×Dic₃	—	2	1	no	—
937	C₂×Dic₃	—	2	1	no	—
938	C₂×Dic₃	—	2	1	no	—
939	C₂×Dic₃	—	2	1	no	—
940	C₂×Dic₃	—	2	1	no	—
941	C₂×Dic₃	—	2	1	no	—
942	C₂×Dic₃	—	2	1	no	—
943	C₂×Dic₃	—	2	1	no	—
944	C₂×Dic₃	—	2	1	no	—
945	C₂×Dic₃	—	2	1	no	—
946	C₂×Dic₃	—	2	1	no	—
947	C₂×Dic₃	—	2	1	no	—
948	C₂×Dic₃	—	2	1	no	—
949	C₂×Dic₃	—	2	1	no	—
950	C₂×Dic₃	—	2	1	no	—
951	C₂×Dic₃	—	2	1	no	—
952	C₂×Dic₃	—	2	1	no	—
953	C₂×Dic₃	—	2	1	no	—
954	C₂×Dic₃	—	2	1	no	—
955	C₂×Dic₃	—	2	1	no	—
956	C₂×Dic₃	—	2	1	no	—
957	C₂×Dic₃	—	8	2	no	—
958	C₂×Dic₃	C₂²×Q₈	1	2	yes	—
959	C₂×Dic₃	C₂²×Q₈	1	2	yes	—
960	C₂×Dic₃	C₂²×Q₈	1	2	yes	—
961	C₂×Dic₃	C₂²×Q₈	1	2	yes	—
962	C₂×Dic₃	C₂×#41	1	2	yes	—
963	C₂×Dic₃	C₂×#41	1	2	yes	—
964	C₂×Dic₃	H(5,𝔽₂)	1	2	yes	—
965	C₂×Dic₃	2₋¹⁺⁴	1	2	yes	—
966	C₂×Dic₃	2₋¹⁺⁴	1	2	yes	—
967	Dic₆	—	2	8	no	—
968	Dic₆	—	4	4	no	—
969	Dic₆	—	4	4	no	—
970	Dic₆	—	8	2	no	—
971	C₂⁴	C₂³×D₃	1	1	yes	characteristic
972	C₂×Q₈	—	2	2	no	—
973	C₂×Q₈	—	2	2	no	—
974	C₂×Q₈	—	3	4	no	—
975	C₂×Q₈	—	4	1	no	—
976	C₂×Q₈	—	4	1	no	—
977	C₂×Q₈	—	4	1	no	—
978	C₂×Q₈	—	4	1	no	—
979	C₂×Q₈	—	6	2	no	—
980	C₂×Q₈	—	6	2	no	—
981	C₂×Q₈	—	6	2	no	—
982	C₂×Q₈	—	6	2	no	—
983	C₂×Q₈	—	6	2	no	—
984	C₂×Q₈	—	6	2	no	—
985	C₂×Q₈	—	6	2	no	—
986	C₂×Q₈	—	12	1	no	—
987	C₂×Q₈	—	12	1	no	—
988	C₂×Q₈	—	12	1	no	—
989	C₂×Q₈	—	12	1	no	—
990	C₂²×C₄	—	3	1	no	—
991	C₂²×C₄	—	3	4	no	—
992	C₂²×C₄	—	3	1	no	—
993	C₂²×C₄	—	3	1	no	—
994	C₂²×C₄	—	3	1	no	—
995	C₂²×C₄	—	3	1	no	—
996	C₂²×C₄	—	3	1	no	—
997	C₂²×C₄	—	3	1	no	—
998	C₂²×C₄	—	3	1	no	—
999	C₂²×C₄	—	3	1	no	—
1000	C₂²×C₄	—	3	1	no	—
1001	C₂²×C₄	—	3	1	no	—
1002	C₂²×C₄	—	3	1	no	—
1003	C₂²×C₄	—	3	1	no	—
1004	C₂²×C₄	—	3	1	no	—
1005	C₂²×C₄	—	3	1	no	—
1006	C₂²×C₄	—	3	1	no	—
1007	C₂²×C₄	—	4	1	no	—
1008	C₂²×C₄	—	4	1	no	—
1009	C₂²×C₄	—	4	1	no	—
1010	C₂²×C₄	—	6	2	no	—
1011	C₂²×C₄	—	6	2	no	—
1012	C₂²×C₄	—	12	1	no	—
1013	C₂²×C₄	—	12	1	no	—
1014	C₂²×C₄	—	12	1	no	—
1015	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1016	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1017	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1018	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1019	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1020	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1021	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1022	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1023	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1024	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1025	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1026	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1027	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1028	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1029	C₄⋊C₄	—	2	2	no	—
1030	C₄⋊C₄	—	2	2	no	—
1031	C₄⋊C₄	—	2	2	no	—
1032	C₄⋊C₄	—	3	4	no	—
1033	C₄⋊C₄	—	3	4	no	—
1034	C₄⋊C₄	—	3	4	no	—
1035	C₄⋊C₄	—	3	4	no	—
1036	C₄⋊C₄	—	4	1	no	—
1037	C₄⋊C₄	—	4	1	no	—
1038	C₄⋊C₄	—	4	1	no	—
1039	C₄⋊C₄	—	4	1	no	—
1040	C₄⋊C₄	—	4	1	no	—
1041	C₄⋊C₄	—	4	1	no	—
1042	C₄⋊C₄	—	4	1	no	—
1043	C₄⋊C₄	—	4	1	no	—
1044	C₄⋊C₄	—	4	1	no	—
1045	C₄⋊C₄	—	6	2	no	—
1046	C₄⋊C₄	—	6	2	no	—
1047	C₄⋊C₄	—	6	2	no	—
1048	C₄⋊C₄	—	6	2	no	—
1049	C₄⋊C₄	—	6	2	no	—
1050	C₄⋊C₄	—	6	2	no	—
1051	C₄⋊C₄	—	6	2	no	—
1052	C₄⋊C₄	—	6	2	no	—
1053	C₄⋊C₄	—	6	2	no	—
1054	C₄⋊C₄	—	6	2	no	—
1055	C₄⋊C₄	—	6	2	no	—
1056	C₄⋊C₄	—	6	2	no	—
1057	C₄⋊C₄	—	6	2	no	—
1058	C₄⋊C₄	—	6	2	no	—
1059	C₄⋊C₄	—	6	2	no	—
1060	C₄⋊C₄	—	12	1	no	—
1061	C₄⋊C₄	—	12	1	no	—
1062	C₄⋊C₄	—	12	1	no	—
1063	C₄⋊C₄	—	12	1	no	—
1064	C₄⋊C₄	—	12	1	no	—
1065	C₄⋊C₄	—	12	1	no	—
1066	C₄⋊C₄	—	12	1	no	—
1067	C₄⋊C₄	—	12	1	no	—
1068	C₄⋊C₄	—	12	1	no	—
1069	C₄⋊C₄	—	12	1	no	—
1070	C₄⋊C₄	—	12	1	no	—
1071	C₄⋊C₄	—	12	1	no	—
1072	C₄⋊C₄	—	12	1	no	—
1073	C₄⋊C₄	—	12	1	no	—
1074	C₄⋊C₄	—	12	1	no	—
1075	C₄⋊C₄	—	12	1	no	—
1076	C₄⋊C₄	—	12	1	no	—
1077	C₄⋊C₄	—	12	1	no	—
1078	C₄⋊C₄	—	12	1	no	—
1079	C₄⋊C₄	—	12	1	no	—
1080	C₄⋊C₄	—	12	1	no	—
1081	C₄⋊C₄	—	12	1	no	—
1082	C₄⋊C₄	—	12	1	no	—
1083	C₄⋊C₄	—	12	1	no	—
1084	C₄⋊C₄	—	12	1	no	—
1085	C₄⋊C₄	—	12	1	no	—
1086	C₄⋊C₄	—	12	1	no	—
1087	C₂²⋊C₄	—	2	2	no	—
1088	C₂²⋊C₄	—	2	2	no	—
1089	C₂²⋊C₄	—	3	4	no	—
1090	C₂²⋊C₄	—	4	1	no	—
1091	C₂²⋊C₄	—	4	1	no	—
1092	C₂²⋊C₄	—	4	1	no	—
1093	C₂²⋊C₄	—	6	2	no	—
1094	C₂²⋊C₄	—	6	2	no	—
1095	C₂²⋊C₄	—	6	2	no	—
1096	C₂²⋊C₄	—	12	1	no	—
1097	C₂²⋊C₄	—	12	1	no	—
1098	C₂²⋊C₄	D₃×Q₈	1	4	yes	—
1099	C₄²	—	2	2	no	—
1100	C₄²	—	4	1	no	—
1101	C₄²	—	6	2	no	—
1102	C₄²	—	6	2	no	—
1103	C₄²	—	6	2	no	—
1104	C₄²	—	6	2	no	—
1105	C₄²	—	6	2	no	—
1106	C₄²	—	6	2	no	—
1107	C₄²	—	6	2	no	—
1108	C₄²	—	6	2	no	—
1109	C₄²	—	6	2	no	—
1110	C₄²	—	6	2	no	—
1111	C₄²	—	6	2	no	—
1112	C₄²	—	12	1	no	—
1113	C₄²	—	12	1	no	—
1114	C₄²	—	12	1	no	—
1115	C₄²	—	12	1	no	—
1116	C₄²	—	12	1	no	—
1117	C₄²	—	12	1	no	—
1118	C₄²	—	12	1	no	—
1119	C₂²×C₃	—	2	2	no	—
1120	C₂²×C₃	—	2	2	no	—
1121	C₂²×C₃	—	2	2	no	—
1122	C₂²×C₃	—	4	1	no	—
1123	C₂²×C₃	—	4	1	no	—
1124	C₂²×C₃	—	4	1	no	—
1125	C₂²×C₃	—	4	1	no	—
1126	C₂²×C₃	C₂³×Q₈	1	1	yes	characteristic
1127	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1128	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1129	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1130	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1131	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1132	C₂²×C₃	#585	1	1	yes	characteristic
1133	C₃×C₄	—	2	2	no	—
1134	C₃×C₄	—	2	2	no	—
1135	C₃×C₄	—	2	2	no	—
1136	C₃×C₄	—	2	2	no	—
1137	C₃×C₄	—	4	1	no	—
1138	C₃×C₄	—	4	1	no	—
1139	C₃×C₄	—	4	1	no	—
1140	C₃×C₄	—	4	1	no	—
1141	C₃×C₄	—	4	1	no	—
1142	C₃×C₄	—	4	1	no	—
1143	C₃×C₄	—	4	1	no	—
1144	C₃×C₄	—	4	1	no	—
1145	C₃×C₄	—	4	1	no	—
1146	C₃×C₄	—	4	1	no	—
1147	Dic₃	—	2	2	no	—
1148	Dic₃	—	2	2	no	—
1149	Dic₃	—	2	2	no	—
1150	Dic₃	—	2	2	no	—
1151	Dic₃	—	2	2	no	—
1152	Dic₃	—	2	2	no	—
1153	Dic₃	—	4	1	no	—
1154	Dic₃	—	4	1	no	—
1155	Dic₃	—	4	1	no	—
1156	Dic₃	—	4	1	no	—
1157	Dic₃	—	4	1	no	—
1158	Dic₃	—	4	1	no	—
1159	Dic₃	—	4	1	no	—
1160	Dic₃	—	4	1	no	—
1161	Dic₃	—	4	1	no	—
1162	Dic₃	#554	1	4	yes	—
1163	C₂³	—	2	1	no	—
1164	C₂³	—	2	1	no	—
1165	C₂³	—	2	1	no	—
1166	C₂³	—	2	1	no	—
1167	C₂³	—	2	1	no	—
1168	C₂³	—	2	1	no	—
1169	C₂³	C₂×D₃×Q₈	1	2	yes	—
1170	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1171	Q₈	—	4	4	no	—
1172	Q₈	—	6	8	no	—
1173	Q₈	—	8	2	no	—
1174	Q₈	—	12	4	no	—
1175	Q₈	—	12	4	no	—
1176	Q₈	—	24	2	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	3	2	no	—
1216	C₂×C₄	—	3	2	no	—
1217	C₂×C₄	—	3	2	no	—
1218	C₂×C₄	—	3	2	no	—
1219	C₂×C₄	—	3	2	no	—
1220	C₂×C₄	—	3	2	no	—
1221	C₂×C₄	—	3	2	no	—
1222	C₂×C₄	—	3	2	no	—
1223	C₂×C₄	—	3	2	no	—
1224	C₂×C₄	—	6	8	no	—
1225	C₂×C₄	—	6	1	no	—
1226	C₂×C₄	—	6	1	no	—
1227	C₂×C₄	—	6	1	no	—
1228	C₂×C₄	—	6	1	no	—
1229	C₂×C₄	—	6	1	no	—
1230	C₂×C₄	—	6	1	no	—
1231	C₂×C₄	—	6	1	no	—
1232	C₂×C₄	—	6	1	no	—
1233	C₂×C₄	—	6	1	no	—
1234	C₂×C₄	—	6	1	no	—
1235	C₂×C₄	—	6	1	no	—
1236	C₂×C₄	—	6	1	no	—
1237	C₂×C₄	—	6	1	no	—
1238	C₂×C₄	—	6	1	no	—
1239	C₂×C₄	—	6	1	no	—
1240	C₂×C₄	—	6	1	no	—
1241	C₂×C₄	—	6	1	no	—
1242	C₂×C₄	—	6	1	no	—
1243	C₂×C₄	—	6	1	no	—
1244	C₂×C₄	—	6	1	no	—
1245	C₂×C₄	—	6	1	no	—
1246	C₂×C₄	—	6	1	no	—
1247	C₂×C₄	—	6	1	no	—
1248	C₂×C₄	—	6	1	no	—
1249	C₂×C₄	—	6	1	no	—
1250	C₂×C₄	—	6	1	no	—
1251	C₂×C₄	—	6	1	no	—
1252	C₂×C₄	—	6	1	no	—
1253	C₂×C₄	—	6	1	no	—
1254	C₂×C₄	—	6	1	no	—
1255	C₂×C₄	—	6	1	no	—
1256	C₂×C₄	—	6	1	no	—
1257	C₂×C₄	—	6	1	no	—
1258	C₂×C₄	—	6	1	no	—
1259	C₂×C₄	—	6	1	no	—
1260	C₂×C₄	—	6	1	no	—
1261	C₂×C₄	—	6	1	no	—
1262	C₂×C₄	—	6	1	no	—
1263	C₂×C₄	—	6	1	no	—
1264	C₂×C₄	—	8	2	no	—
1265	C₂×C₄	—	24	2	no	—
1266	C₂×C₄	#1004	1	2	yes	—
1267	C₂×C₄	C₂×D₃×Q₈	1	2	yes	—
1268	C₂×C₄	C₂×D₃×Q₈	1	2	yes	—
1269	C₂×C₄	D₃×#41	1	2	yes	—
1270	C₂×C₃	—	4	2	no	—
1271	C₂×C₃	C₂×#554	1	1	yes	characteristic
1272	C₂×C₃	#3502	1	1	yes	characteristic
1273	C₂×C₃	#3503	1	1	yes	characteristic
1274	C₂×C₃	#3516	1	1	yes	characteristic
1275	C₂×C₃	#3520	1	1	yes	characteristic
1276	C₂×C₃	#3542	1	1	yes	characteristic
1277	C₂×C₃	#3550	1	1	yes	characteristic
1278	C₂²	—	2	2	no	—
1279	C₂²	—	2	2	no	—
1280	C₂²	—	2	2	no	—
1281	C₂²	—	4	1	no	—
1282	C₂²	—	4	1	no	—
1283	C₂²	—	4	1	no	—
1284	C₂²	—	4	1	no	—
1285	C₂²	C₂×#1004	1	1	yes	characteristic
1286	C₂²	C₂²×D₃×Q₈	1	1	yes	characteristic
1287	C₂²	C₂×D₃×#41	1	1	yes	characteristic
1288	C₂²	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1289	C₂²	#5966	1	1	yes	characteristic
1290	C₂²	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1291	C₂²	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1292	C₄	—	2	2	no	—
1293	C₄	—	2	2	no	—
1294	C₄	—	2	2	no	—
1295	C₄	—	2	2	no	—
1296	C₄	—	3	4	no	—
1297	C₄	—	4	1	no	—
1298	C₄	—	4	1	no	—
1299	C₄	—	4	1	no	—
1300	C₄	—	4	1	no	—
1301	C₄	—	4	1	no	—
1302	C₄	—	4	1	no	—
1303	C₄	—	4	1	no	—
1304	C₄	—	4	1	no	—
1305	C₄	—	4	1	no	—
1306	C₄	—	4	1	no	—
1307	C₄	—	6	2	no	—
1308	C₄	—	6	2	no	—
1309	C₄	—	6	2	no	—
1310	C₄	—	6	2	no	—
1311	C₄	—	6	2	no	—
1312	C₄	—	6	2	no	—
1313	C₄	—	12	1	no	—
1314	C₄	—	12	1	no	—
1315	C₄	—	12	1	no	—
1316	C₄	—	12	1	no	—
1317	C₄	—	12	1	no	—
1318	C₄	—	12	1	no	—
1319	C₄	—	12	1	no	—
1320	C₄	—	12	1	no	—
1321	C₄	—	12	1	no	—
1322	C₃	#44997	1	1	yes	characteristic, complemented, Sylow
1323	C₂	—	4	2	no	—
1324	C₂	#86302	1	1	yes	characteristic
1325	C₂	#86555	1	1	yes	characteristic
1326	C₂	#86585	1	1	yes	characteristic
1327	C₂	#86721	1	1	yes	characteristic
1328	C₂	#86747	1	1	yes	characteristic
1329	C₂	D₃×#554	1	1	yes	characteristic
1330	C₂	#87119	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₃
commutator, socle, cosocle	C₂³×C₃	C₂⁵
Fitting	C₃×#2729	C₂
prime radical	C₂⁴×C₃	C₂⁴
hypercenter	#2729	D₃
hypocenter	C₃	#44997
LCS	G ▷ C₂³×C₃ ▷ C₃
UCS	C₁ ◁ C₂³ ◁ #2729

Complements

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

N	H ≅ G/N	type
2. #83243	C₂	semidirect
3. #83238	C₂	semidirect
6. #78254	C₂	semidirect
7. #78155	C₂	semidirect
8. #77910	C₂	semidirect
9. #77907	C₂	semidirect
10. #77768	C₂	semidirect
11. #77748	C₂	semidirect
14. #77191	C₂	semidirect
15. #77189	C₂	semidirect
18. #76528	C₂	semidirect
19. #76510	C₂	semidirect
20. #76136	C₂	semidirect
21. #75981	C₂	semidirect
26. #75040	C₂	semidirect
27. #74967	C₂	semidirect
329. #878	Q₈	semidirect
1322. C₃	#44997	semidirect

Maximal subgroups

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

subgroup	index
C₃×#2729	2
#83243	2
#83238	2
#82768	2
#82763	2
#78254	2
#78155	2
#77910	2
#77907	2
#77768	2
#77748	2
#77394	2
#77288	2
#77191	2
#77189	2
#76833	2
#76778	2
#76528	2
#76510	2
#76136	2
#75981	2
#75618	2
#75515	2
#75478	2
#75460	2
#75040	2
#74967	2
#74577	2
#74493	2
#74396	2
#74382	2
#44997	3