Subgroups — #11222788

Order 768.

1572 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×#2715	C₂	1	1	yes	maximal, characteristic
2	#83099	C₂	1	1	yes	maximal, characteristic, complemented
3	#83075	C₂	1	1	yes	maximal, characteristic, complemented
4	#82968	C₂	1	1	yes	maximal, characteristic
5	#82953	C₂	1	1	yes	maximal, characteristic
6	#77573	C₂	1	1	yes	maximal, characteristic, complemented
7	#77570	C₂	1	1	yes	maximal, characteristic, complemented
8	#77507	C₂	1	1	yes	maximal, characteristic, complemented
9	#77489	C₂	1	1	yes	maximal, characteristic, complemented
10	#77373	C₂	1	1	yes	maximal, characteristic, complemented
11	#77322	C₂	1	1	yes	maximal, characteristic, complemented
12	#77311	C₂	1	1	yes	maximal, characteristic, complemented
13	#77309	C₂	1	1	yes	maximal, characteristic, complemented
14	#77237	C₂	1	1	yes	maximal, characteristic, complemented
15	#77171	C₂	1	1	yes	maximal, characteristic, complemented
16	#77071	C₂	1	1	yes	maximal, characteristic
17	#76943	C₂	1	1	yes	maximal, characteristic
18	#76527	C₂	1	1	yes	maximal, characteristic, complemented
19	#76483	C₂	1	1	yes	maximal, characteristic, complemented
20	#76101	C₂	1	1	yes	maximal, characteristic, complemented
21	#76028	C₂	1	1	yes	maximal, characteristic, complemented
22	#75598	C₂	1	1	yes	maximal, characteristic, complemented
23	#75591	C₂	1	1	yes	maximal, characteristic, complemented
24	#75250	C₂	1	1	yes	maximal, characteristic, complemented
25	#74964	C₂	1	1	yes	maximal, characteristic, complemented
26	#74762	C₂	1	1	yes	maximal, characteristic
27	#74674	C₂	1	1	yes	maximal, characteristic
28	#74472	C₂	1	1	yes	maximal, characteristic, complemented
29	#74400	C₂	1	1	yes	maximal, characteristic, complemented
30	#73945	C₂	1	1	yes	maximal, characteristic, complemented
31	#73913	C₂	1	1	yes	maximal, characteristic, complemented
32	#44857	—	3	1	no	maximal, Sylow
33	C₂×C₃×#126	C₂²	1	1	yes	characteristic
34	C₂×C₃×#124	C₂²	1	1	yes	characteristic
35	C₂×Q₈×Dic₃	C₂²	1	1	yes	characteristic
36	C₂×D₄×Dic₃	C₂²	1	1	yes	characteristic
37	C₂×#924	C₂²	1	1	yes	characteristic
38	C₂×#890	C₂²	1	1	yes	characteristic
39	C₂×#890	C₂²	1	1	yes	characteristic
40	C₂×#887	C₂²	1	1	yes	characteristic
41	C₂×#879	C₂²	1	1	yes	characteristic
42	C₂×#879	C₂²	1	1	yes	characteristic
43	C₂×#878	C₂²	1	1	yes	characteristic
44	C₂×#878	C₂²	1	1	yes	characteristic
45	C₃×#397	C₂²	1	1	yes	characteristic
46	C₃×#397	C₂²	1	1	yes	characteristic
47	C₃×#396	C₂²	1	1	yes	characteristic
48	C₃×#396	C₂²	1	1	yes	characteristic
49	C₃×#395	C₂²	1	1	yes	characteristic
50	C₃×#394	C₂²	1	1	yes	characteristic
51	C₃×#391	C₂²	1	1	yes	characteristic
52	C₃×#389	C₂²	1	1	yes	characteristic
53	C₃×#388	C₂²	1	1	yes	characteristic
54	C₃×#387	C₂²	1	1	yes	characteristic
55	C₃×#386	C₂²	1	1	yes	characteristic
56	C₃×#385	C₂²	1	1	yes	characteristic
57	C₃×#380	C₂²	1	1	yes	characteristic
58	#5230	C₂²	1	1	yes	characteristic
59	#5229	C₂²	1	1	yes	characteristic
60	#5229	C₂²	1	1	yes	characteristic
61	#5222	C₂²	1	1	yes	characteristic
62	#5221	C₂²	1	1	yes	characteristic
63	#5220	C₂²	1	1	yes	characteristic
64	C₄×#217	C₂²	1	1	yes	characteristic
65	C₄×#217	C₂²	1	1	yes	characteristic
66	C₂×C₃⋊#95	C₂²	1	1	yes	characteristic
67	#4986	C₂²	1	1	yes	characteristic
68	#4986	C₂²	1	1	yes	characteristic
69	#4986	C₂²	1	1	yes	characteristic
70	#4985	C₂²	1	1	yes	characteristic
71	#4984	C₂²	1	1	yes	characteristic
72	#4984	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	#4982	C₂²	1	1	yes	characteristic
79	#4981	C₂²	1	1	yes	characteristic
80	#4981	C₂²	1	1	yes	characteristic
81	#4981	C₂²	1	1	yes	characteristic
82	#4980	C₂²	1	1	yes	characteristic
83	#4980	C₂²	1	1	yes	characteristic
84	#4980	C₂²	1	1	yes	characteristic
85	#4980	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	#4976	C₂²	1	1	yes	characteristic
91	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
92	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
93	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
94	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
95	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
96	#4973	C₂²	1	1	yes	characteristic
97	#4973	C₂²	1	1	yes	characteristic
98	#4972	C₂²	1	1	yes	characteristic
99	#4972	C₂²	1	1	yes	characteristic
100	#4953	C₂²	1	1	yes	characteristic
101	#4952	C₂²	1	1	yes	characteristic
102	#4952	C₂²	1	1	yes	characteristic
103	#4952	C₂²	1	1	yes	characteristic
104	#4952	C₂²	1	1	yes	characteristic
105	#4951	C₂²	1	1	yes	characteristic
106	#4951	C₂²	1	1	yes	characteristic
107	#4951	C₂²	1	1	yes	characteristic
108	#4951	C₂²	1	1	yes	characteristic
109	#4951	C₂²	1	1	yes	characteristic
110	#4951	C₂²	1	1	yes	characteristic
111	#4951	C₂²	1	1	yes	characteristic
112	#4951	C₂²	1	1	yes	characteristic
113	#4950	C₂²	1	1	yes	characteristic
114	#4950	C₂²	1	1	yes	characteristic
115	#4950	C₂²	1	1	yes	characteristic
116	#4950	C₂²	1	1	yes	characteristic
117	#4950	C₂²	1	1	yes	characteristic
118	#4949	C₂²	1	1	yes	characteristic
119	#4948	C₂²	1	1	yes	characteristic
120	#4947	C₂²	1	1	yes	characteristic
121	#4945	C₂²	1	1	yes	characteristic
122	#4945	C₂²	1	1	yes	characteristic
123	#4945	C₂²	1	1	yes	characteristic
124	#4945	C₂²	1	1	yes	characteristic
125	#4945	C₂²	1	1	yes	characteristic
126	#4945	C₂²	1	1	yes	characteristic
127	#4945	C₂²	1	1	yes	characteristic
128	#4944	C₂²	1	1	yes	characteristic
129	#4944	C₂²	1	1	yes	characteristic
130	#4944	C₂²	1	1	yes	characteristic
131	#4943	C₂²	1	1	yes	characteristic
132	#4942	C₂²	1	1	yes	characteristic
133	#4942	C₂²	1	1	yes	characteristic
134	#4942	C₂²	1	1	yes	characteristic
135	#4942	C₂²	1	1	yes	characteristic
136	#4942	C₂²	1	1	yes	characteristic
137	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
138	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
139	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
140	#4935	C₂²	1	1	yes	characteristic
141	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
142	#4933	C₂²	1	1	yes	characteristic
143	#4933	C₂²	1	1	yes	characteristic
144	#4932	C₂²	1	1	yes	characteristic
145	#4932	C₂²	1	1	yes	characteristic
146	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
147	#4928	C₂²	1	1	yes	characteristic
148	#4661	C₂²	1	1	yes	characteristic
149	#4661	C₂²	1	1	yes	characteristic
150	#4660	C₂²	1	1	yes	characteristic
151	#4660	C₂²	1	1	yes	characteristic
152	#4658	C₂²	1	1	yes	characteristic
153	#4658	C₂²	1	1	yes	characteristic
154	#4657	C₂²	1	1	yes	characteristic
155	#4657	C₂²	1	1	yes	characteristic
156	#4656	C₂²	1	1	yes	characteristic
157	#4656	C₂²	1	1	yes	characteristic
158	#4655	C₂²	1	1	yes	characteristic
159	#4655	C₂²	1	1	yes	characteristic
160	#4654	C₂²	1	1	yes	characteristic
161	#4654	C₂²	1	1	yes	characteristic
162	#4654	C₂²	1	1	yes	characteristic
163	#4654	C₂²	1	1	yes	characteristic
164	#4654	C₂²	1	1	yes	characteristic
165	#4654	C₂²	1	1	yes	characteristic
166	#4653	C₂²	1	1	yes	characteristic
167	#4653	C₂²	1	1	yes	characteristic
168	#4653	C₂²	1	1	yes	characteristic
169	#4653	C₂²	1	1	yes	characteristic
170	#4651	C₂²	1	1	yes	characteristic
171	#4651	C₂²	1	1	yes	characteristic
172	#4651	C₂²	1	1	yes	characteristic
173	#4650	C₂²	1	1	yes	characteristic
174	#4650	C₂²	1	1	yes	characteristic
175	#4650	C₂²	1	1	yes	characteristic
176	#4650	C₂²	1	1	yes	characteristic
177	#4649	C₂²	1	1	yes	characteristic
178	#4649	C₂²	1	1	yes	characteristic
179	#4649	C₂²	1	1	yes	characteristic
180	#4648	C₂²	1	1	yes	characteristic
181	#4648	C₂²	1	1	yes	characteristic
182	#4647	C₂²	1	1	yes	characteristic
183	#4647	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	#2799	—	3	1	no	—
189	#2791	—	3	1	no	—
190	#2786	—	3	1	no	—
191	#2739	—	3	1	no	—
192	#2722	—	3	1	no	—
193	#2715	D₃	1	1	yes	characteristic
194	#2690	—	3	1	no	—
195	#2689	—	3	1	no	—
196	#2612	—	3	1	no	—
197	#2574	—	3	1	no	—
198	#2569	—	3	1	no	—
199	#2560	—	3	1	no	—
200	#2556	—	3	1	no	—
201	#2549	—	3	1	no	—
202	#2536	—	3	1	no	—
203	#2532	—	3	1	no	—
204	#2529	—	3	1	no	—
205	#2525	—	3	1	no	—
206	#2521	—	3	1	no	—
207	#2520	—	3	1	no	—
208	#2519	—	3	1	no	—
209	#2506	—	3	1	no	—
210	#2495	—	3	1	no	—
211	#2489	—	3	1	no	—
212	#2399	—	3	1	no	—
213	#2373	—	3	1	no	—
214	#2373	—	3	1	no	—
215	#2356	—	3	1	no	—
216	#2353	—	3	1	no	—
217	#2326	—	3	1	no	—
218	#2320	—	3	1	no	—
219	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
220	C₂²×C₃×D₄	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	C₂³×Dic₃	C₂³	1	1	yes	characteristic
225	C₂²×Dic₆	C₂³	1	1	yes	characteristic
226	C₂²×Dic₆	C₂³	1	1	yes	characteristic
227	C₃×#126	—	2	4	no	—
228	C₃×#124	—	2	4	no	—
229	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₃×C₂²⋊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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
250	C₂×C₃×C₄²	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	C₂×#217	C₂³	1	1	yes	characteristic
257	C₂×#217	C₂³	1	1	yes	characteristic
258	C₂×#217	C₂³	1	1	yes	characteristic
259	C₂×#217	C₂³	1	1	yes	characteristic
260	C₂×#217	C₂³	1	1	yes	characteristic
261	C₂×#217	C₂³	1	1	yes	characteristic
262	C₂×#217	C₂³	1	1	yes	characteristic
263	C₂×#217	C₂³	1	1	yes	characteristic
264	Q₈×Dic₃	—	2	4	no	—
265	D₄×Dic₃	—	2	4	no	—
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×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
281	#924	—	4	2	no	—
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×C₄×Dic₃	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₃	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	#890	—	4	2	no	—
320	#890	—	4	2	no	—
321	#887	—	2	4	no	—
322	#879	—	2	4	no	—
323	#879	—	4	2	no	—
324	#878	—	4	2	no	—
325	#878	—	4	2	no	—
326	C₃×#95	C₂³	1	1	yes	characteristic
327	C₃×#95	C₂³	1	1	yes	characteristic
328	C₃×#95	C₂³	1	1	yes	characteristic
329	C₃×#95	C₂³	1	1	yes	characteristic
330	C₃×#95	C₂³	1	1	yes	characteristic
331	C₃×#95	C₂³	1	1	yes	characteristic
332	C₃×#95	C₂³	1	1	yes	characteristic
333	C₃×#95	C₂³	1	1	yes	characteristic
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	C₂×#126	—	3	1	no	—
387	C₂×#126	—	3	1	no	—
388	C₂×#126	C₂×D₃	1	1	yes	characteristic
389	C₂×#125	—	3	1	no	—
390	C₂×#125	—	3	1	no	—
391	C₂×#124	C₂×D₃	1	1	yes	characteristic
392	C₂×C₂²⋊Q₈	—	3	1	no	—
393	C₂×C₂²⋊Q₈	—	3	1	no	—
394	C₂×C₂²⋊Q₈	—	3	1	no	—
395	C₂×C₄×Q₈	—	3	1	no	—
396	C₂×C₄×Q₈	—	3	1	no	—
397	C₂×C₄×D₄	—	3	1	no	—
398	#400	—	3	1	no	—
399	#400	—	3	1	no	—
400	#400	—	3	1	no	—
401	#400	—	3	1	no	—
402	#400	—	3	1	no	—
403	#400	—	3	1	no	—
404	#400	—	3	1	no	—
405	#400	—	3	1	no	—
406	#399	—	3	1	no	—
407	#398	—	3	1	no	—
408	#398	—	3	1	no	—
409	#398	—	3	1	no	—
410	#398	—	3	1	no	—
411	#398	—	3	1	no	—
412	#398	—	3	1	no	—
413	#398	—	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	#397	—	3	1	no	—
421	#397	—	3	1	no	—
422	#397	—	3	1	no	—
423	#397	—	3	1	no	—
424	#397	—	3	1	no	—
425	#397	C₂×D₃	1	1	yes	characteristic
426	#397	C₂×D₃	1	1	yes	characteristic
427	#396	—	3	1	no	—
428	#396	C₂×D₃	1	1	yes	characteristic
429	#396	C₂×D₃	1	1	yes	characteristic
430	#395	—	3	1	no	—
431	#395	—	3	1	no	—
432	#395	—	3	1	no	—
433	#395	—	3	1	no	—
434	#395	C₂×D₃	1	1	yes	characteristic
435	#394	—	3	1	no	—
436	#394	C₂×D₃	1	1	yes	characteristic
437	#393	—	3	1	no	—
438	#391	—	3	1	no	—
439	#391	—	3	1	no	—
440	#391	—	3	1	no	—
441	#391	—	3	1	no	—
442	#391	—	3	1	no	—
443	#391	—	3	1	no	—
444	#391	—	3	1	no	—
445	#391	—	3	1	no	—
446	#391	C₂×D₃	1	1	yes	characteristic
447	#390	—	3	1	no	—
448	#389	—	3	1	no	—
449	#389	—	3	1	no	—
450	#389	—	3	1	no	—
451	#389	—	3	1	no	—
452	#389	—	3	1	no	—
453	#389	—	3	1	no	—
454	#389	—	3	1	no	—
455	#389	—	3	1	no	—
456	#389	C₂×D₃	1	1	yes	characteristic
457	#388	—	3	1	no	—
458	#388	—	3	1	no	—
459	#388	—	3	1	no	—
460	#388	—	3	1	no	—
461	#388	—	3	1	no	—
462	#388	—	3	1	no	—
463	#388	—	3	1	no	—
464	#388	—	3	1	no	—
465	#388	—	3	1	no	—
466	#388	—	3	1	no	—
467	#388	—	3	1	no	—
468	#388	—	3	1	no	—
469	#388	—	3	1	no	—
470	#388	—	3	1	no	—
471	#388	—	3	1	no	—
472	#388	—	3	1	no	—
473	#388	—	3	1	no	—
474	#388	—	3	1	no	—
475	#388	C₂×D₃	1	1	yes	characteristic
476	#387	—	3	1	no	—
477	#387	—	3	1	no	—
478	#387	—	3	1	no	—
479	#387	—	3	1	no	—
480	#387	—	3	1	no	—
481	#387	—	3	1	no	—
482	#387	—	3	1	no	—
483	#387	—	3	1	no	—
484	#387	—	3	1	no	—
485	#387	—	3	1	no	—
486	#387	—	3	1	no	—
487	#387	—	3	1	no	—
488	#387	—	3	1	no	—
489	#387	—	3	1	no	—
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	C₂×D₃	1	1	yes	characteristic
498	#386	—	3	1	no	—
499	#386	C₂×D₃	1	1	yes	characteristic
500	#385	—	3	1	no	—
501	#385	—	3	1	no	—
502	#385	—	3	1	no	—
503	#385	—	3	1	no	—
504	#385	—	3	1	no	—
505	#385	C₂×D₃	1	1	yes	characteristic
506	#384	—	3	1	no	—
507	#383	—	3	1	no	—
508	#383	—	3	1	no	—
509	#383	—	3	1	no	—
510	#382	—	3	1	no	—
511	#382	—	3	1	no	—
512	#382	—	3	1	no	—
513	#382	—	3	1	no	—
514	#381	—	3	1	no	—
515	#380	—	3	1	no	—
516	#380	—	3	1	no	—
517	#380	—	3	1	no	—
518	#380	—	3	1	no	—
519	#380	—	3	1	no	—
520	#380	C₂×D₃	1	1	yes	characteristic
521	C₄×C₄⋊C₄	—	3	1	no	—
522	C₄×C₄⋊C₄	—	3	1	no	—
523	C₄×C₄⋊C₄	—	3	1	no	—
524	C₄×C₄⋊C₄	—	3	1	no	—
525	C₄×C₄⋊C₄	—	3	1	no	—
526	C₄×C₄⋊C₄	—	3	1	no	—
527	C₄×C₄⋊C₄	—	3	1	no	—
528	C₄×C₄⋊C₄	—	3	1	no	—
529	C₄×C₄⋊C₄	—	3	1	no	—
530	C₄×C₄⋊C₄	—	3	1	no	—
531	C₄×C₂²⋊C₄	—	3	1	no	—
532	C₄×C₂²⋊C₄	—	3	1	no	—
533	C₄×C₂²⋊C₄	—	3	1	no	—
534	C₄×C₂²⋊C₄	—	3	1	no	—
535	C₄×C₂²⋊C₄	—	3	1	no	—
536	#376	—	3	1	no	—
537	#376	—	3	1	no	—
538	#376	—	3	1	no	—
539	#376	—	3	1	no	—
540	C₂×#95	—	3	1	no	—
541	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
542	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
543	C₂×C₃×Q₈	—	2	2	no	—
544	C₂×C₃×Q₈	—	2	2	no	—
545	C₂×C₃×Q₈	—	4	1	no	—
546	C₂×C₃×D₄	—	2	2	no	—
547	C₂×C₃×D₄	—	2	2	no	—
548	C₂×C₃×D₄	—	4	1	no	—
549	C₂²×C₃×C₄	—	2	2	no	—
550	C₂²×C₃×C₄	—	4	1	no	—
551	C₂²×C₃×C₄	—	4	1	no	—
552	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
553	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
554	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
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×Dic₃	—	2	2	no	—
566	C₂²×Dic₃	—	2	2	no	—
567	C₂²×Dic₃	—	2	2	no	—
568	C₂²×Dic₃	—	4	1	no	—
569	C₂²×Dic₃	—	4	1	no	—
570	C₂²×Dic₃	—	4	1	no	—
571	C₂²×Dic₃	—	4	1	no	—
572	C₂²×Dic₃	—	4	1	no	—
573	C₂²×Dic₃	—	4	1	no	—
574	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
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	C₂×Dic₆	—	2	2	no	—
591	C₂×Dic₆	—	2	2	no	—
592	C₂×Dic₆	—	2	2	no	—
593	C₂×Dic₆	—	4	1	no	—
594	C₂×Dic₆	—	4	1	no	—
595	C₂×Dic₆	—	4	1	no	—
596	C₃×C₄⋊C₄	—	2	2	no	—
597	C₃×C₄⋊C₄	—	2	2	no	—
598	C₃×C₄⋊C₄	—	2	2	no	—
599	C₃×C₄⋊C₄	—	2	2	no	—
600	C₃×C₄⋊C₄	—	2	2	no	—
601	C₃×C₄⋊C₄	—	4	1	no	—
602	C₃×C₄⋊C₄	—	4	1	no	—
603	C₃×C₄⋊C₄	—	4	1	no	—
604	C₃×C₄⋊C₄	—	4	1	no	—
605	C₃×C₂²⋊C₄	—	2	2	no	—
606	C₃×C₂²⋊C₄	—	2	2	no	—
607	C₃×C₂²⋊C₄	—	2	2	no	—
608	C₃×C₂²⋊C₄	—	2	2	no	—
609	C₃×C₂²⋊C₄	—	2	2	no	—
610	C₃×C₂²⋊C₄	—	2	2	no	—
611	C₃×C₂²⋊C₄	—	4	1	no	—
612	C₃×C₂²⋊C₄	—	4	1	no	—
613	C₃×C₂²⋊C₄	—	4	1	no	—
614	C₃×C₂²⋊C₄	—	4	1	no	—
615	C₃×C₂²⋊C₄	#41	1	4	yes	—
616	C₃×C₄²	—	2	2	no	—
617	C₃×C₄²	—	2	2	no	—
618	#217	—	2	2	no	—
619	#217	—	2	2	no	—
620	#217	—	2	2	no	—
621	#217	—	2	2	no	—
622	#217	—	2	2	no	—
623	#217	—	2	2	no	—
624	#217	—	2	2	no	—
625	#217	—	4	1	no	—
626	#217	—	4	1	no	—
627	#217	—	4	1	no	—
628	#217	—	4	1	no	—
629	#217	—	4	1	no	—
630	#217	—	4	1	no	—
631	C₄⋊Dic₃	—	2	2	no	—
632	C₄⋊Dic₃	—	2	2	no	—
633	C₄⋊Dic₃	—	2	2	no	—
634	C₄⋊Dic₃	—	2	2	no	—
635	C₄⋊Dic₃	—	2	2	no	—
636	C₄⋊Dic₃	—	2	2	no	—
637	C₄⋊Dic₃	—	2	2	no	—
638	C₄⋊Dic₃	—	2	2	no	—
639	C₄⋊Dic₃	—	2	2	no	—
640	C₄⋊Dic₃	—	2	2	no	—
641	C₄⋊Dic₃	—	4	1	no	—
642	C₄⋊Dic₃	—	4	1	no	—
643	C₄⋊Dic₃	—	4	1	no	—
644	C₄⋊Dic₃	—	4	1	no	—
645	C₄⋊Dic₃	—	4	1	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	—	2	2	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	C₄×Dic₃	—	2	2	no	—
667	C₄×Dic₃	—	2	2	no	—
668	C₄×Dic₃	—	2	2	no	—
669	C₄×Dic₃	—	2	2	no	—
670	C₄×Dic₃	—	2	2	no	—
671	C₄×Dic₃	—	2	2	no	—
672	C₄×Dic₃	—	2	2	no	—
673	C₄×Dic₃	—	4	1	no	—
674	C₄×Dic₃	—	4	1	no	—
675	C₄×Dic₃	—	4	1	no	—
676	C₄×Dic₃	—	4	1	no	—
677	C₄×Dic₃	—	4	1	no	—
678	C₄×Dic₃	—	4	1	no	—
679	C₄×Dic₃	—	4	1	no	—
680	C₄×Dic₃	—	4	1	no	—
681	C₄×Dic₃	—	4	1	no	—
682	C₄×Dic₃	#41	1	4	yes	—
683	C₂²×Q₈	—	3	1	no	—
684	C₂²×Q₈	—	3	1	no	—
685	C₂²×Q₈	C₂²×D₃	1	1	yes	characteristic
686	C₂²×D₄	C₂²×D₃	1	1	yes	characteristic
687	C₂³×C₄	—	3	1	no	—
688	C₂³×C₄	—	3	1	no	—
689	C₂³×C₄	—	3	1	no	—
690	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
691	#126	—	2	4	no	—
692	#126	—	6	4	no	—
693	#126	—	12	2	no	—
694	#125	—	12	2	no	—
695	#125	—	12	2	no	—
696	#124	—	2	4	no	—
697	C₂²⋊Q₈	—	12	2	no	—
698	C₂²⋊Q₈	—	12	2	no	—
699	C₂²⋊Q₈	—	12	2	no	—
700	C₄×Q₈	—	6	4	no	—
701	C₄×Q₈	—	6	4	no	—
702	C₄×D₄	—	6	4	no	—
703	C₂×C₄⋊C₄	—	3	1	no	—
704	C₂×C₄⋊C₄	—	3	1	no	—
705	C₂×C₄⋊C₄	—	3	1	no	—
706	C₂×C₄⋊C₄	—	3	1	no	—
707	C₂×C₄⋊C₄	—	3	1	no	—
708	C₂×C₄⋊C₄	—	3	1	no	—
709	C₂×C₄⋊C₄	—	3	1	no	—
710	C₂×C₄⋊C₄	—	3	1	no	—
711	C₂×C₄⋊C₄	—	3	1	no	—
712	C₂×C₄⋊C₄	—	3	1	no	—
713	C₂×C₄⋊C₄	—	3	1	no	—
714	C₂×C₄⋊C₄	—	3	1	no	—
715	C₂×C₄⋊C₄	—	3	1	no	—
716	C₂×C₄⋊C₄	—	3	1	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	C₂²×D₃	1	1	yes	characteristic
739	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
740	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
741	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
742	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
743	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
744	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
745	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
746	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
747	C₂×C₂²⋊C₄	—	3	1	no	—
748	C₂×C₂²⋊C₄	—	3	1	no	—
749	C₂×C₂²⋊C₄	—	3	1	no	—
750	C₂×C₂²⋊C₄	—	3	1	no	—
751	C₂×C₂²⋊C₄	—	3	1	no	—
752	C₂×C₂²⋊C₄	—	3	1	no	—
753	C₂×C₂²⋊C₄	—	3	1	no	—
754	C₂×C₂²⋊C₄	—	3	1	no	—
755	C₂×C₂²⋊C₄	—	3	1	no	—
756	C₂×C₂²⋊C₄	—	3	1	no	—
757	C₂×C₂²⋊C₄	—	3	1	no	—
758	C₂×C₂²⋊C₄	—	3	1	no	—
759	C₂×C₂²⋊C₄	—	3	1	no	—
760	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
761	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
762	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
763	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
764	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
765	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
766	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
767	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
768	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
769	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
770	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
771	C₂×C₄²	—	3	1	no	—
772	C₂×C₄²	—	3	1	no	—
773	C₂×C₄²	—	3	1	no	—
774	C₂×C₄²	—	3	1	no	—
775	C₂×C₄²	—	3	1	no	—
776	C₂×C₄²	—	3	1	no	—
777	C₂×C₄²	—	3	1	no	—
778	C₂×C₄²	—	3	1	no	—
779	C₂×C₄²	—	3	1	no	—
780	C₂×C₄²	—	3	1	no	—
781	C₂×C₄²	—	3	1	no	—
782	C₂×C₄²	—	3	1	no	—
783	C₂×C₄²	—	3	1	no	—
784	C₂×C₄²	—	3	1	no	—
785	C₂×C₄²	—	3	1	no	—
786	C₂×C₄²	—	3	1	no	—
787	C₂×C₄²	—	3	1	no	—
788	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
789	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
790	#95	—	3	1	no	—
791	#95	—	3	1	no	—
792	#95	—	3	1	no	—
793	#95	—	3	1	no	—
794	#95	—	3	1	no	—
795	#95	—	3	1	no	—
796	#95	—	3	1	no	—
797	#95	—	3	1	no	—
798	#95	—	3	1	no	—
799	#95	—	3	1	no	—
800	#95	—	3	1	no	—
801	#95	—	3	1	no	—
802	#95	—	3	1	no	—
803	#95	—	3	1	no	—
804	#95	—	3	1	no	—
805	#95	—	3	1	no	—
806	#95	—	3	1	no	—
807	#95	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
841	#95	C₂²×D₃	1	1	yes	characteristic
842	#95	C₂²×D₃	1	1	yes	characteristic
843	#95	C₂²×D₃	1	1	yes	characteristic
844	#95	C₂²×D₃	1	1	yes	characteristic
845	#95	C₂²×D₃	1	1	yes	characteristic
846	#95	C₂²×D₃	1	1	yes	characteristic
847	#95	C₂²×D₃	1	1	yes	characteristic
848	#95	C₂²×D₃	1	1	yes	characteristic
849	#95	C₂²×D₃	1	1	yes	characteristic
850	C₂³×C₃	—	2	1	no	—
851	C₂³×C₃	—	2	1	no	—
852	C₂³×C₃	—	2	1	no	—
853	C₂³×C₃	—	2	1	no	—
854	C₂³×C₃	—	2	1	no	—
855	C₂³×C₃	—	2	1	no	—
856	C₂³×C₃	—	2	1	no	—
857	C₂³×C₃	—	2	1	no	—
858	C₂³×C₃	—	2	1	no	—
859	C₂³×C₃	—	2	1	no	—
860	C₂³×C₃	—	2	1	no	—
861	C₂³×C₃	—	2	1	no	—
862	C₂³×C₃	—	2	1	no	—
863	C₂³×C₃	C₂×#41	1	2	yes	—
864	C₂³×C₃	C₂⁵	1	1	yes	characteristic
865	C₃×Q₈	—	4	4	no	—
866	C₃×D₄	—	4	4	no	—
867	C₂×C₃×C₄	—	2	1	no	—
868	C₂×C₃×C₄	—	2	1	no	—
869	C₂×C₃×C₄	—	2	1	no	—
870	C₂×C₃×C₄	—	2	1	no	—
871	C₂×C₃×C₄	—	2	1	no	—
872	C₂×C₃×C₄	—	2	1	no	—
873	C₂×C₃×C₄	—	2	1	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	—	8	2	no	—
903	C₂×C₃×C₄	C₂×#41	1	2	yes	—
904	C₂×C₃×C₄	C₂×#41	1	2	yes	—
905	C₂×C₃×C₄	C₂×#41	1	2	yes	—
906	C₂×C₃×C₄	2₋¹⁺⁴	1	2	yes	—
907	C₂×Dic₃	—	2	1	no	—
908	C₂×Dic₃	—	2	1	no	—
909	C₂×Dic₃	—	2	1	no	—
910	C₂×Dic₃	—	2	1	no	—
911	C₂×Dic₃	—	2	1	no	—
912	C₂×Dic₃	—	2	1	no	—
913	C₂×Dic₃	—	2	1	no	—
914	C₂×Dic₃	—	2	1	no	—
915	C₂×Dic₃	—	2	1	no	—
916	C₂×Dic₃	—	2	1	no	—
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	1	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	—	8	2	no	—
952	C₂×Dic₃	—	8	2	no	—
953	C₂×Dic₃	—	8	2	no	—
954	C₂×Dic₃	C₂×#41	1	2	yes	—
955	C₂×Dic₃	C₂×#41	1	2	yes	—
956	C₂×Dic₃	H(5,𝔽₂)	1	2	yes	—
957	C₂×Dic₃	2₋¹⁺⁴	1	2	yes	—
958	Dic₆	—	4	4	no	—
959	Dic₆	—	8	2	no	—
960	C₂⁴	C₂³×D₃	1	1	yes	characteristic
961	C₂⁴	C₂³×D₃	1	1	yes	characteristic
962	C₂×Q₈	—	2	2	no	—
963	C₂×Q₈	—	2	2	no	—
964	C₂×Q₈	—	4	1	no	—
965	C₂×Q₈	—	6	2	no	—
966	C₂×Q₈	—	6	2	no	—
967	C₂×Q₈	—	6	2	no	—
968	C₂×Q₈	—	12	1	no	—
969	C₂×Q₈	—	12	1	no	—
970	C₂×Q₈	—	12	1	no	—
971	C₂×D₄	—	2	2	no	—
972	C₂×D₄	—	2	2	no	—
973	C₂×D₄	—	4	1	no	—
974	C₂²×C₄	—	2	2	no	—
975	C₂²×C₄	—	3	1	no	—
976	C₂²×C₄	—	3	1	no	—
977	C₂²×C₄	—	3	1	no	—
978	C₂²×C₄	—	3	1	no	—
979	C₂²×C₄	—	3	1	no	—
980	C₂²×C₄	—	3	1	no	—
981	C₂²×C₄	—	3	1	no	—
982	C₂²×C₄	—	3	1	no	—
983	C₂²×C₄	—	3	1	no	—
984	C₂²×C₄	—	3	1	no	—
985	C₂²×C₄	—	3	1	no	—
986	C₂²×C₄	—	3	1	no	—
987	C₂²×C₄	—	3	1	no	—
988	C₂²×C₄	—	3	1	no	—
989	C₂²×C₄	—	3	1	no	—
990	C₂²×C₄	—	3	1	no	—
991	C₂²×C₄	—	4	1	no	—
992	C₂²×C₄	—	4	1	no	—
993	C₂²×C₄	—	6	2	no	—
994	C₂²×C₄	—	6	2	no	—
995	C₂²×C₄	—	6	2	no	—
996	C₂²×C₄	—	12	1	no	—
997	C₂²×C₄	—	12	1	no	—
998	C₂²×C₄	—	12	1	no	—
999	C₂²×C₄	—	12	1	no	—
1000	C₂²×C₄	—	12	1	no	—
1001	C₂²×C₄	—	12	1	no	—
1002	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1003	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1004	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1005	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1006	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1007	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1008	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1009	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1010	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1011	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1012	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1013	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1014	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1015	C₄⋊C₄	—	2	2	no	—
1016	C₄⋊C₄	—	2	2	no	—
1017	C₄⋊C₄	—	2	2	no	—
1018	C₄⋊C₄	—	2	2	no	—
1019	C₄⋊C₄	—	2	2	no	—
1020	C₄⋊C₄	—	4	1	no	—
1021	C₄⋊C₄	—	4	1	no	—
1022	C₄⋊C₄	—	4	1	no	—
1023	C₄⋊C₄	—	4	1	no	—
1024	C₄⋊C₄	—	6	2	no	—
1025	C₄⋊C₄	—	6	2	no	—
1026	C₄⋊C₄	—	6	2	no	—
1027	C₄⋊C₄	—	6	2	no	—
1028	C₄⋊C₄	—	6	2	no	—
1029	C₄⋊C₄	—	6	2	no	—
1030	C₄⋊C₄	—	6	2	no	—
1031	C₄⋊C₄	—	6	2	no	—
1032	C₄⋊C₄	—	6	2	no	—
1033	C₄⋊C₄	—	6	2	no	—
1034	C₄⋊C₄	—	6	2	no	—
1035	C₄⋊C₄	—	6	2	no	—
1036	C₄⋊C₄	—	6	2	no	—
1037	C₄⋊C₄	—	6	2	no	—
1038	C₄⋊C₄	—	6	2	no	—
1039	C₄⋊C₄	—	6	2	no	—
1040	C₄⋊C₄	—	6	2	no	—
1041	C₄⋊C₄	—	12	1	no	—
1042	C₄⋊C₄	—	12	1	no	—
1043	C₄⋊C₄	—	12	1	no	—
1044	C₄⋊C₄	—	12	1	no	—
1045	C₄⋊C₄	—	12	1	no	—
1046	C₄⋊C₄	—	12	1	no	—
1047	C₄⋊C₄	—	12	1	no	—
1048	C₄⋊C₄	—	12	1	no	—
1049	C₄⋊C₄	—	12	1	no	—
1050	C₄⋊C₄	—	12	1	no	—
1051	C₄⋊C₄	—	12	1	no	—
1052	C₄⋊C₄	—	12	1	no	—
1053	C₄⋊C₄	—	12	1	no	—
1054	C₄⋊C₄	—	12	1	no	—
1055	C₄⋊C₄	—	12	1	no	—
1056	C₄⋊C₄	—	12	1	no	—
1057	C₄⋊C₄	—	12	1	no	—
1058	C₄⋊C₄	—	12	1	no	—
1059	C₂²⋊C₄	—	2	2	no	—
1060	C₂²⋊C₄	—	2	2	no	—
1061	C₂²⋊C₄	—	2	2	no	—
1062	C₂²⋊C₄	—	2	2	no	—
1063	C₂²⋊C₄	—	2	2	no	—
1064	C₂²⋊C₄	—	2	2	no	—
1065	C₂²⋊C₄	—	4	1	no	—
1066	C₂²⋊C₄	—	4	1	no	—
1067	C₂²⋊C₄	—	4	1	no	—
1068	C₂²⋊C₄	—	4	1	no	—
1069	C₂²⋊C₄	—	6	2	no	—
1070	C₂²⋊C₄	—	6	2	no	—
1071	C₂²⋊C₄	—	6	2	no	—
1072	C₂²⋊C₄	—	6	2	no	—
1073	C₂²⋊C₄	—	6	2	no	—
1074	C₂²⋊C₄	—	6	2	no	—
1075	C₂²⋊C₄	—	6	2	no	—
1076	C₂²⋊C₄	—	12	1	no	—
1077	C₂²⋊C₄	—	12	1	no	—
1078	C₂²⋊C₄	—	12	1	no	—
1079	C₂²⋊C₄	—	12	1	no	—
1080	C₂²⋊C₄	—	12	1	no	—
1081	C₂²⋊C₄	—	12	1	no	—
1082	C₂²⋊C₄	#237	1	4	yes	—
1083	C₄²	—	2	2	no	—
1084	C₄²	—	2	2	no	—
1085	C₄²	—	3	4	no	—
1086	C₄²	—	6	2	no	—
1087	C₄²	—	6	2	no	—
1088	C₄²	—	6	2	no	—
1089	C₄²	—	6	2	no	—
1090	C₄²	—	6	2	no	—
1091	C₄²	—	6	2	no	—
1092	C₄²	—	6	2	no	—
1093	C₄²	—	12	1	no	—
1094	C₄²	—	12	1	no	—
1095	C₄²	—	12	1	no	—
1096	C₄²	—	12	1	no	—
1097	C₄²	—	12	1	no	—
1098	C₄²	—	12	1	no	—
1099	C₄²	—	12	1	no	—
1100	C₄²	—	12	1	no	—
1101	C₄²	—	12	1	no	—
1102	C₂²×C₃	—	2	2	no	—
1103	C₂²×C₃	—	2	2	no	—
1104	C₂²×C₃	—	2	2	no	—
1105	C₂²×C₃	—	4	1	no	—
1106	C₂²×C₃	—	4	1	no	—
1107	C₂²×C₃	—	4	1	no	—
1108	C₂²×C₃	—	4	1	no	—
1109	C₂²×C₃	—	4	1	no	—
1110	C₂²×C₃	—	4	1	no	—
1111	C₂²×C₃	—	4	1	no	—
1112	C₂²×C₃	—	4	1	no	—
1113	C₂²×C₃	—	4	1	no	—
1114	C₂²×C₃	—	4	1	no	—
1115	C₂²×C₃	—	4	1	no	—
1116	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1117	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1118	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1119	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1120	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1121	C₂²×C₃	#585	1	1	yes	characteristic
1122	C₂²×C₃	#585	1	1	yes	characteristic
1123	C₃×C₄	—	2	2	no	—
1124	C₃×C₄	—	2	2	no	—
1125	C₃×C₄	—	2	2	no	—
1126	C₃×C₄	—	2	2	no	—
1127	C₃×C₄	—	4	1	no	—
1128	C₃×C₄	—	4	1	no	—
1129	C₃×C₄	—	4	1	no	—
1130	C₃×C₄	—	4	1	no	—
1131	C₃×C₄	—	4	1	no	—
1132	C₃×C₄	—	4	1	no	—
1133	C₃×C₄	—	4	1	no	—
1134	C₃×C₄	—	4	1	no	—
1135	C₃×C₄	—	4	1	no	—
1136	Dic₃	—	2	2	no	—
1137	Dic₃	—	2	2	no	—
1138	Dic₃	—	2	2	no	—
1139	Dic₃	—	2	2	no	—
1140	Dic₃	—	4	1	no	—
1141	Dic₃	—	4	1	no	—
1142	Dic₃	—	4	1	no	—
1143	Dic₃	—	4	1	no	—
1144	Dic₃	—	4	1	no	—
1145	Dic₃	—	4	1	no	—
1146	Dic₃	—	4	1	no	—
1147	Dic₃	—	4	1	no	—
1148	Dic₃	—	4	1	no	—
1149	Dic₃	—	4	1	no	—
1150	Dic₃	—	4	1	no	—
1151	Dic₃	—	4	1	no	—
1152	C₂³	—	2	1	no	—
1153	C₂³	—	2	1	no	—
1154	C₂³	—	2	1	no	—
1155	C₂³	—	2	1	no	—
1156	C₂³	—	2	1	no	—
1157	C₂³	—	2	1	no	—
1158	C₂³	—	2	1	no	—
1159	C₂³	—	2	1	no	—
1160	C₂³	—	2	1	no	—
1161	C₂³	—	2	1	no	—
1162	C₂³	—	2	1	no	—
1163	C₂³	—	2	1	no	—
1164	C₂³	—	2	1	no	—
1165	C₂³	C₂×#237	1	2	yes	—
1166	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1167	Q₈	—	4	4	no	—
1168	Q₈	—	12	4	no	—
1169	Q₈	—	24	2	no	—
1170	D₄	—	4	4	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	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	—	3	2	no	—
1207	C₂×C₄	—	3	2	no	—
1208	C₂×C₄	—	3	2	no	—
1209	C₂×C₄	—	3	2	no	—
1210	C₂×C₄	—	6	1	no	—
1211	C₂×C₄	—	6	1	no	—
1212	C₂×C₄	—	6	1	no	—
1213	C₂×C₄	—	6	1	no	—
1214	C₂×C₄	—	6	1	no	—
1215	C₂×C₄	—	6	1	no	—
1216	C₂×C₄	—	6	1	no	—
1217	C₂×C₄	—	6	1	no	—
1218	C₂×C₄	—	6	1	no	—
1219	C₂×C₄	—	6	1	no	—
1220	C₂×C₄	—	6	1	no	—
1221	C₂×C₄	—	6	1	no	—
1222	C₂×C₄	—	6	1	no	—
1223	C₂×C₄	—	6	1	no	—
1224	C₂×C₄	—	6	1	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	—	8	2	no	—
1255	C₂×C₄	—	24	2	no	—
1256	C₂×C₄	—	24	2	no	—
1257	C₂×C₄	—	24	2	no	—
1258	C₂×C₄	C₂×#237	1	2	yes	—
1259	C₂×C₄	C₂×#237	1	2	yes	—
1260	C₂×C₄	D₃×#41	1	2	yes	—
1261	C₂×C₄	#1010	1	2	yes	—
1262	C₂×C₃	—	4	2	no	—
1263	C₂×C₃	—	8	1	no	—
1264	C₂×C₃	#3475	1	1	yes	characteristic
1265	C₂×C₃	#3494	1	1	yes	characteristic
1266	C₂×C₃	#3509	1	1	yes	characteristic
1267	C₂×C₃	#3511	1	1	yes	characteristic
1268	C₂×C₃	#3515	1	1	yes	characteristic
1269	C₂×C₃	#3561	1	1	yes	characteristic
1270	C₂×C₃	#3564	1	1	yes	characteristic
1271	C₂²	—	2	2	no	—
1272	C₂²	—	2	2	no	—
1273	C₂²	—	2	2	no	—
1274	C₂²	—	4	1	no	—
1275	C₂²	—	4	1	no	—
1276	C₂²	—	4	1	no	—
1277	C₂²	—	4	1	no	—
1278	C₂²	—	4	1	no	—
1279	C₂²	—	4	1	no	—
1280	C₂²	—	4	1	no	—
1281	C₂²	—	4	1	no	—
1282	C₂²	—	4	1	no	—
1283	C₂²	—	4	1	no	—
1284	C₂²	—	4	1	no	—
1285	C₂²	C₂²×#237	1	1	yes	characteristic
1286	C₂²	C₂×D₃×#41	1	1	yes	characteristic
1287	C₂²	C₂×#1010	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	#5968	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	—	4	1	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	—	6	2	no	—
1306	C₄	—	6	2	no	—
1307	C₄	—	6	2	no	—
1308	C₄	—	6	2	no	—
1309	C₄	—	12	1	no	—
1310	C₄	—	12	1	no	—
1311	C₄	—	12	1	no	—
1312	C₄	—	12	1	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	C₃	#44857	1	1	yes	characteristic, complemented, Sylow
1322	C₂	—	4	2	no	—
1323	C₂	—	8	1	no	—
1324	C₂	#86368	1	1	yes	characteristic
1325	C₂	#86405	1	1	yes	characteristic
1326	C₂	#86550	1	1	yes	characteristic
1327	C₂	#86627	1	1	yes	characteristic
1328	C₂	#86683	1	1	yes	characteristic
1329	C₂	#86983	1	1	yes	characteristic
1330	C₂	#87138	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₃
commutator, socle, cosocle	C₂³×C₃	C₂⁵
Fitting	C₃×#2715	C₂
prime radical	C₂²×C₃×D₄	C₂³
hypercenter	#2715	D₃
hypocenter	C₃	#44857
LCS	G ▷ C₂³×C₃ ▷ C₃
UCS	C₁ ◁ C₂³ ◁ #2715

Complements

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

N	H ≅ G/N	type
2. #83099	C₂	semidirect
3. #83075	C₂	semidirect
6. #77573	C₂	semidirect
7. #77570	C₂	semidirect
8. #77507	C₂	semidirect
9. #77489	C₂	semidirect
10. #77373	C₂	semidirect
11. #77322	C₂	semidirect
12. #77311	C₂	semidirect
13. #77309	C₂	semidirect
14. #77237	C₂	semidirect
15. #77171	C₂	semidirect
18. #76527	C₂	semidirect
19. #76483	C₂	semidirect
20. #76101	C₂	semidirect
21. #76028	C₂	semidirect
22. #75598	C₂	semidirect
23. #75591	C₂	semidirect
24. #75250	C₂	semidirect
25. #74964	C₂	semidirect
28. #74472	C₂	semidirect
29. #74400	C₂	semidirect
30. #73945	C₂	semidirect
31. #73913	C₂	semidirect
1321. C₃	#44857	semidirect

Maximal subgroups

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

subgroup	index
C₃×#2715	2
#83099	2
#83075	2
#82968	2
#82953	2
#77573	2
#77570	2
#77507	2
#77489	2
#77373	2
#77322	2
#77311	2
#77309	2
#77237	2
#77171	2
#77071	2
#76943	2
#76527	2
#76483	2
#76101	2
#76028	2
#75598	2
#75591	2
#75250	2
#74964	2
#74762	2
#74674	2
#74472	2
#74400	2
#73945	2
#73913	2
#44857	3