Subgroups — #11660656

Order 768.

1762 conjugacy classes of subgroups.

The subgroup lattice has 1414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#85836	C₂	1	1	yes	maximal, characteristic
2	C₃×#2989	C₂	1	1	yes	maximal, characteristic, complemented
3	#82521	C₂	1	1	yes	maximal, characteristic, complemented
4	#79968	C₂	1	2	yes	maximal, complemented
5	#79941	C₂	1	2	yes	maximal, complemented
6	#79544	C₂	1	2	yes	maximal, complemented
7	#79519	C₂	1	2	yes	maximal, complemented
8	#79491	C₂	1	2	yes	maximal, complemented
9	#79488	C₂	1	2	yes	maximal, complemented
10	#79458	C₂	1	2	yes	maximal, complemented
11	#79455	C₂	1	2	yes	maximal, complemented
12	#79340	C₂	1	1	yes	maximal, characteristic, complemented
13	#79339	C₂	1	1	yes	maximal, characteristic, complemented
14	#79334	C₂	1	1	yes	maximal, characteristic, complemented
15	D₃×#432	C₂	1	1	yes	maximal, characteristic, complemented
16	#79293	C₂	1	1	yes	maximal, characteristic, complemented
17	#79285	C₂	1	1	yes	maximal, characteristic, complemented
18	#79051	C₂	1	1	yes	maximal, characteristic, complemented
19	#79050	C₂	1	1	yes	maximal, characteristic, complemented
20	#79040	C₂	1	1	yes	maximal, characteristic, complemented
21	#79038	C₂	1	1	yes	maximal, characteristic, complemented
22	#79015	C₂	1	1	yes	maximal, characteristic, complemented
23	#79000	C₂	1	1	yes	maximal, characteristic, complemented
24	#60293	—	3	1	no	maximal, Sylow
25	C₃×C₄×#41	C₂²	1	1	yes	characteristic
26	#5832	C₄	1	1	yes	characteristic
27	#5828	C₄	1	1	yes	characteristic
28	#5580	C₄	1	1	yes	characteristic
29	#5580	C₂²	1	1	yes	characteristic
30	#5578	C₄	1	1	yes	characteristic
31	#5578	C₂²	1	1	yes	characteristic
32	#5557	C₄	1	1	yes	characteristic
33	#5557	C₂²	1	1	yes	characteristic
34	#5548	C₄	1	1	yes	characteristic
35	#5548	C₂²	1	1	yes	characteristic
36	#5547	C₄	1	1	yes	characteristic
37	#5547	C₄	1	1	yes	characteristic
38	#5547	C₂²	1	1	yes	characteristic
39	#5547	C₂²	1	1	yes	characteristic
40	#5538	C₄	1	1	yes	characteristic
41	#5538	C₄	1	1	yes	characteristic
42	#5538	C₂²	1	1	yes	characteristic
43	#5538	C₂²	1	1	yes	characteristic
44	#5528	C₄	1	1	yes	characteristic
45	#5528	C₄	1	1	yes	characteristic
46	#5528	C₄	1	1	yes	characteristic
47	#5528	C₄	1	1	yes	characteristic
48	#5524	C₄	1	1	yes	characteristic
49	#5517	C₄	1	1	yes	characteristic
50	C₄×#235	C₂²	1	1	yes	characteristic
51	C₄×#235	C₂²	1	1	yes	characteristic
52	C₄×#235	C₂²	1	1	yes	characteristic
53	C₄×#235	C₂²	1	1	yes	characteristic
54	C₄×#235	C₂²	1	1	yes	characteristic
55	C₂×C₄²×D₃	C₂²	1	1	yes	characteristic
56	C₃×#446	C₂²	1	2	yes	complemented
57	C₃×#436	C₂²	1	2	yes	—
58	C₃×#435	C₂²	1	2	yes	—
59	C₃×#435	C₂²	1	2	yes	complemented
60	C₃×#432	C₂²	1	1	yes	characteristic
61	C₃×#432	C₂²	1	1	yes	characteristic, complemented
62	C₃×#431	C₂²	1	1	yes	characteristic, complemented
63	C₃×#423	C₂²	1	1	yes	characteristic
64	C₃×#423	C₂²	1	1	yes	characteristic, complemented
65	C₂×C₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
66	#5129	C₂²	1	2	yes	—
67	#5128	C₂²	1	2	yes	—
68	#5127	C₂²	1	2	yes	—
69	#5127	C₂²	1	2	yes	—
70	#5127	C₂²	1	2	yes	complemented
71	#5126	C₂²	1	2	yes	—
72	#5122	C₂²	1	2	yes	complemented
73	Dic₃×M₁₆	C₂²	1	2	yes	—
74	#5111	C₂²	1	2	yes	complemented
75	#5110	C₂²	1	2	yes	—
76	C₈×#67	C₂²	1	2	yes	—
77	#5101	C₂²	1	2	yes	complemented
78	#5024	C₂²	1	2	yes	complemented
79	#5012	C₂²	1	2	yes	—
80	#5011	C₂²	1	2	yes	—
81	#5011	C₂²	1	2	yes	complemented
82	#4926	C₂²	1	1	yes	characteristic
83	#4926	C₂²	1	1	yes	characteristic, complemented
84	#4925	C₂²	1	1	yes	characteristic, complemented
85	#4924	C₂²	1	1	yes	characteristic
86	#4924	C₂²	1	1	yes	characteristic, complemented
87	C₂×C₄⋊(C₃⋊C₈)	C₂²	1	1	yes	characteristic, complemented
88	#4840	C₂²	1	2	yes	—
89	#4840	C₂²	1	2	yes	—
90	#4840	C₂²	1	2	yes	complemented
91	#4840	C₂²	1	2	yes	complemented
92	#4837	C₂²	1	1	yes	characteristic, complemented
93	#4837	C₂²	1	1	yes	characteristic, complemented
94	#4836	C₂²	1	2	yes	—
95	#4836	C₂²	1	2	yes	complemented
96	#4835	C₂²	1	2	yes	—
97	#4835	C₂²	1	1	yes	characteristic
98	#4835	C₂²	1	1	yes	characteristic
99	#4835	C₂²	1	1	yes	characteristic
100	#4835	C₂²	1	1	yes	characteristic
101	#4835	C₂²	1	1	yes	characteristic, complemented
102	#4835	C₂²	1	1	yes	characteristic, complemented
103	#4834	C₂²	1	2	yes	—
104	#4833	C₂²	1	2	yes	—
105	#4833	C₂²	1	1	yes	characteristic
106	#4833	C₂²	1	1	yes	characteristic
107	#4833	C₂²	1	1	yes	characteristic, complemented
108	#4833	C₂²	1	1	yes	characteristic, complemented
109	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
110	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
111	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
112	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
113	#4831	C₂²	1	2	yes	complemented
114	#4828	C₂²	1	2	yes	complemented
115	#4828	C₂²	1	2	yes	complemented
116	#4730	C₂²	1	2	yes	complemented
117	#4729	C₂²	1	2	yes	—
118	#4728	C₂²	1	2	yes	—
119	#4728	C₂²	1	2	yes	—
120	#4728	C₂²	1	2	yes	complemented
121	#4727	C₂²	1	2	yes	—
122	#4727	C₂²	1	2	yes	—
123	#67⋊C₈	C₂²	1	2	yes	—
124	D₃×C₂²⋊C₈	C₂²	1	2	yes	—
125	#4720	C₂²	1	2	yes	complemented
126	#4720	C₂²	1	2	yes	complemented
127	#4719	C₂²	1	2	yes	—
128	#4709	C₂²	1	2	yes	—
129	#4708	C₂²	1	2	yes	complemented
130	#4706	C₂²	1	2	yes	—
131	#4706	C₂²	1	2	yes	complemented
132	#4705	C₂²	1	2	yes	—
133	D₃×#97	C₂²	1	2	yes	—
134	#4701	C₂²	1	2	yes	complemented
135	#4701	C₂²	1	2	yes	complemented
136	#4690	C₂²	1	2	yes	—
137	#4689	C₂²	1	2	yes	complemented
138	C₈×D₁₂	C₂²	1	2	yes	—
139	#4679	C₂²	1	2	yes	complemented
140	#3444	—	3	1	no	—
141	#2990	—	3	1	no	—
142	#2990	—	3	1	no	—
143	#2990	—	3	1	no	—
144	#2990	—	3	1	no	—
145	#2989	—	3	1	no	—
146	#2989	—	3	1	no	—
147	#2989	—	3	1	no	—
148	#2989	D₃	1	1	yes	characteristic, complemented
149	#2987	—	3	2	no	—
150	#2980	—	3	2	no	—
151	#2976	—	3	2	no	—
152	#2976	—	3	2	no	—
153	#2968	—	3	2	no	—
154	#2968	—	3	2	no	—
155	#2967	—	3	2	no	—
156	#2967	—	3	2	no	—
157	#2925	—	3	1	no	—
158	#2925	—	3	1	no	—
159	#2925	—	3	1	no	—
160	#2925	—	3	1	no	—
161	#2920	—	3	1	no	—
162	C₂×#432	—	3	1	no	—
163	C₂×C₃×#41	C₂×C₄	1	1	yes	characteristic
164	C₂×#235	C₂×C₄	1	1	yes	characteristic
165	C₂×#235	C₂×C₄	1	1	yes	characteristic
166	C₂×#235	C₂×C₄	1	1	yes	characteristic
167	C₂×#235	C₂³	1	1	yes	characteristic
168	C₂×#235	C₂³	1	1	yes	characteristic
169	C₂²×C₄×D₃	C₂×C₄	1	1	yes	characteristic
170	C₂²×C₄×D₃	C₂×C₄	1	1	yes	characteristic
171	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
172	C₂×C₃×M₁₆	C₂³	1	2	yes	—
173	C₂×C₃×M₁₆	C₂³	1	2	yes	—
174	C₂²×C₃×C₈	C₂³	1	2	yes	—
175	C₃×C₄×Q₈	C₂×C₄	1	1	yes	characteristic
176	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
177	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
178	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
179	C₃×C₄×D₄	C₂×C₄	1	1	yes	characteristic
180	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
181	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
182	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
183	C₃×#117	C₂×C₄	1	1	yes	characteristic
184	C₃×#117	C₂×C₄	1	1	yes	characteristic
185	C₃×#117	C₂×C₄	1	1	yes	characteristic
186	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
187	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
188	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
189	#947	C₂×C₄	1	1	yes	characteristic
190	#946	C₂×C₄	1	1	yes	characteristic
191	#946	C₂×C₄	1	1	yes	characteristic
192	#944	C₂×C₄	1	1	yes	characteristic
193	#940	C₂×C₄	1	1	yes	characteristic
194	#939	C₂×C₄	1	1	yes	characteristic
195	#939	C₂×C₄	1	1	yes	characteristic
196	#939	C₂×C₄	1	1	yes	characteristic
197	#939	C₂×C₄	1	1	yes	characteristic
198	#938	C₂×C₄	1	1	yes	characteristic
199	#938	C₂×C₄	1	1	yes	characteristic
200	#937	C₂×C₄	1	1	yes	characteristic
201	#937	C₂×C₄	1	1	yes	characteristic
202	#936	C₂×C₄	1	1	yes	characteristic
203	#935	C₂×C₄	1	1	yes	characteristic
204	#935	C₂×C₄	1	1	yes	characteristic
205	C₄×#67	C₂×C₄	1	1	yes	characteristic
206	C₄×#67	C₂×C₄	1	1	yes	characteristic
207	C₄×#67	C₂×C₄	1	1	yes	characteristic
208	C₄×#67	C₂×C₄	1	1	yes	characteristic
209	C₄×#67	C₂×C₄	1	1	yes	characteristic
210	C₄×#67	C₂×C₄	1	1	yes	characteristic
211	C₄×#67	C₂×C₄	1	1	yes	characteristic
212	C₄×#67	C₂×C₄	1	1	yes	characteristic
213	C₄×#67	C₂×C₄	1	1	yes	characteristic
214	C₄×#67	C₂×C₄	1	1	yes	characteristic
215	C₄×#67	C₂×C₄	1	1	yes	characteristic
216	C₄×#67	C₂×C₄	1	1	yes	characteristic
217	C₄×#67	C₂×C₄	1	1	yes	characteristic
218	C₄×#67	C₂×C₄	1	1	yes	characteristic
219	C₄×#67	C₂³	1	1	yes	characteristic
220	C₄×#67	C₂³	1	1	yes	characteristic
221	C₄×#67	C₂³	1	1	yes	characteristic
222	C₄×#67	C₂³	1	1	yes	characteristic
223	C₄×#67	C₂³	1	1	yes	characteristic
224	C₄×#67	C₂³	1	1	yes	characteristic
225	#926	C₂×C₄	1	1	yes	characteristic
226	#926	C₂×C₄	1	1	yes	characteristic
227	#926	C₂×C₄	1	1	yes	characteristic
228	#926	C₂³	1	1	yes	characteristic
229	#926	C₂³	1	1	yes	characteristic
230	C₂×C₄×Dic₃	C₂×C₄	1	1	yes	characteristic
231	C₂×C₄×Dic₃	C₂×C₄	1	1	yes	characteristic
232	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
233	C₂×#208	C₂³	1	2	yes	—
234	C₂×#208	C₂³	1	2	yes	—
235	C₂²×C₃⋊C₈	C₂³	1	2	yes	—
236	C₂×ΓL(1,𝔽₂₅)	C₂³	1	2	yes	—
237	C₂×ΓL(1,𝔽₂₅)	C₂³	1	2	yes	—
238	C₂×D₃×C₈	C₂³	1	2	yes	—
239	C₂×D₃×C₈	C₂³	1	2	yes	—
240	C₂×D₃×C₈	C₂³	1	2	yes	—
241	C₂×D₃×C₈	C₂³	1	2	yes	—
242	#898	C₂×C₄	1	1	yes	characteristic
243	#898	C₂×C₄	1	1	yes	characteristic
244	#898	C₂×C₄	1	1	yes	characteristic
245	#898	C₂×C₄	1	1	yes	characteristic
246	#897	C₂×C₄	1	1	yes	characteristic
247	#897	C₂×C₄	1	1	yes	characteristic
248	#896	C₂×C₄	1	1	yes	characteristic
249	#896	C₂×C₄	1	1	yes	characteristic
250	#896	C₂×C₄	1	1	yes	characteristic
251	#896	C₂×C₄	1	1	yes	characteristic
252	#895	C₂×C₄	1	1	yes	characteristic
253	#895	C₂×C₄	1	1	yes	characteristic
254	#894	C₂×C₄	1	1	yes	characteristic
255	#894	C₂×C₄	1	1	yes	characteristic
256	#894	C₂×C₄	1	1	yes	characteristic
257	#894	C₂×C₄	1	1	yes	characteristic
258	#890	C₂×C₄	1	1	yes	characteristic
259	#890	C₂×C₄	1	1	yes	characteristic
260	#889	C₂×C₄	1	1	yes	characteristic
261	#889	C₂×C₄	1	1	yes	characteristic
262	#889	C₂×C₄	1	1	yes	characteristic
263	#889	C₂×C₄	1	1	yes	characteristic
264	#888	C₂×C₄	1	1	yes	characteristic
265	#888	C₂×C₄	1	1	yes	characteristic
266	#886	C₂×C₄	1	1	yes	characteristic
267	#886	C₂×C₄	1	1	yes	characteristic
268	#885	C₂×C₄	1	1	yes	characteristic
269	#885	C₂×C₄	1	1	yes	characteristic
270	#885	C₂×C₄	1	1	yes	characteristic
271	#885	C₂×C₄	1	1	yes	characteristic
272	#884	C₂×C₄	1	1	yes	characteristic
273	#884	C₂×C₄	1	1	yes	characteristic
274	#884	C₂×C₄	1	1	yes	characteristic
275	#884	C₂×C₄	1	1	yes	characteristic
276	#883	C₂×C₄	1	1	yes	characteristic
277	#883	C₂×C₄	1	1	yes	characteristic
278	#883	C₂×C₄	1	1	yes	characteristic
279	#883	C₂×C₄	1	1	yes	characteristic
280	#882	C₂×C₄	1	1	yes	characteristic
281	#882	C₂×C₄	1	1	yes	characteristic
282	#879	C₂×C₄	1	1	yes	characteristic
283	#879	C₂×C₄	1	1	yes	characteristic
284	#879	C₂×C₄	1	1	yes	characteristic
285	#879	C₂×C₄	1	1	yes	characteristic
286	#878	C₂×C₄	1	1	yes	characteristic
287	#878	C₂×C₄	1	1	yes	characteristic
288	#878	C₂×C₄	1	1	yes	characteristic
289	#878	C₂×C₄	1	1	yes	characteristic
290	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
291	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
292	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
293	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
294	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
295	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
296	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
297	C₄×D₁₂	C₂³	1	1	yes	characteristic
298	C₄×D₁₂	C₂³	1	1	yes	characteristic
299	C₄×D₁₂	C₂³	1	1	yes	characteristic
300	#872	C₂×C₄	1	1	yes	characteristic
301	#872	C₂×C₄	1	1	yes	characteristic
302	#872	C₂×C₄	1	1	yes	characteristic
303	#872	C₂×C₄	1	1	yes	characteristic
304	#872	C₂×C₄	1	1	yes	characteristic
305	#872	C₂×C₄	1	1	yes	characteristic
306	#872	C₂³	1	1	yes	characteristic
307	#872	C₂³	1	1	yes	characteristic
308	#872	C₂³	1	1	yes	characteristic
309	#872	C₂³	1	1	yes	characteristic
310	C₄²×D₃	C₂×C₄	1	1	yes	characteristic
311	C₄²×D₃	C₂×C₄	1	1	yes	characteristic
312	C₄²×D₃	C₂×C₄	1	1	yes	characteristic
313	C₄²×D₃	C₂×C₄	1	1	yes	characteristic
314	C₄²×D₃	C₂³	1	1	yes	characteristic
315	C₄²×D₃	C₂³	1	1	yes	characteristic
316	C₄²×D₃	C₂³	1	1	yes	characteristic
317	C₄²×D₃	C₂³	1	1	yes	characteristic
318	C₄²×D₃	C₂³	1	1	yes	characteristic
319	C₄²×D₃	C₂³	1	1	yes	characteristic
320	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
321	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
322	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
323	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
324	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
325	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
326	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
327	C₄×Dic₆	C₂³	1	1	yes	characteristic
328	C₄×Dic₆	C₂³	1	1	yes	characteristic
329	C₄×Dic₆	C₂³	1	1	yes	characteristic
330	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
331	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
332	C₃×C₄⋊C₈	C₂³	1	2	yes	—
333	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
334	C₃×C₄⋊C₈	C₂³	1	2	yes	—
335	C₃×C₄⋊C₈	C₂³	1	2	yes	—
336	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
337	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
338	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
339	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
340	C₃×#97	C₂³	1	2	yes	—
341	C₃×#97	C₂³	1	2	yes	—
342	C₃×C₄×C₈	C₂³	1	2	yes	—
343	#830	C₂³	1	2	yes	—
344	#830	C₂³	1	2	yes	—
345	#830	C₂³	1	2	yes	—
346	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
347	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
348	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
349	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
350	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
351	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
352	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
353	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
354	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
355	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
356	#815	C₂³	1	2	yes	—
357	#815	C₂³	1	2	yes	—
358	#815	C₂³	1	2	yes	—
359	#815	C₂³	1	2	yes	—
360	#815	C₂³	1	2	yes	—
361	#815	C₂³	1	2	yes	—
362	Dic₃⋊C₈	C₂³	1	2	yes	—
363	Dic₃⋊C₈	C₂³	1	2	yes	—
364	Dic₃⋊C₈	C₂³	1	2	yes	—
365	Dic₃⋊C₈	C₂³	1	2	yes	—
366	Dic₃⋊C₈	C₂³	1	2	yes	—
367	Dic₃⋊C₈	C₂³	1	2	yes	—
368	C₈×Dic₃	C₂³	1	2	yes	—
369	C₈×Dic₃	C₂³	1	2	yes	—
370	C₈×Dic₃	C₂³	1	2	yes	—
371	C₈×Dic₃	C₂³	1	2	yes	—
372	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
373	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
374	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
375	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
376	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
377	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
378	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
379	#803	C₂³	1	2	yes	—
380	#803	C₂³	1	2	yes	—
381	C₄×C₃⋊C₈	C₂³	1	2	yes	—
382	#533	—	3	1	no	—
383	#533	—	3	1	no	—
384	#533	—	3	1	no	—
385	#532	—	3	1	no	—
386	#532	—	3	1	no	—
387	#532	—	3	1	no	—
388	#529	—	3	1	no	—
389	#529	—	3	1	no	—
390	#529	—	3	1	no	—
391	#529	—	3	1	no	—
392	#529	—	3	1	no	—
393	#529	—	3	1	no	—
394	#529	—	3	1	no	—
395	#529	—	3	1	no	—
396	#529	—	3	1	no	—
397	#529	—	3	1	no	—
398	#529	—	3	1	no	—
399	#529	—	3	1	no	—
400	#525	—	3	1	no	—
401	#525	—	3	1	no	—
402	#525	—	3	1	no	—
403	#525	—	3	1	no	—
404	#525	—	3	1	no	—
405	#525	—	3	1	no	—
406	C₄×#41	—	3	1	no	—
407	C₄×#41	—	3	1	no	—
408	C₄×#41	—	3	1	no	—
409	C₄×#41	—	3	1	no	—
410	C₄×#41	—	3	1	no	—
411	C₄×#41	C₂×D₃	1	1	yes	characteristic
412	C₂²×C₄²	—	3	1	no	—
413	#446	—	3	2	no	—
414	#446	—	3	2	no	—
415	#446	—	3	2	no	—
416	#446	—	3	2	no	—
417	#446	—	3	2	no	—
418	#446	—	3	2	no	—
419	#446	—	3	2	no	—
420	#446	C₂×D₃	1	2	yes	complemented
421	#436	—	3	2	no	—
422	#436	—	3	2	no	—
423	#436	—	3	2	no	—
424	#436	C₂×D₃	1	2	yes	—
425	#435	—	3	2	no	—
426	#435	—	3	2	no	—
427	#435	—	3	2	no	—
428	#435	—	3	2	no	—
429	#435	—	3	2	no	—
430	#435	—	3	2	no	—
431	#435	—	3	2	no	—
432	#435	—	3	2	no	—
433	#435	—	3	2	no	—
434	#435	—	3	2	no	—
435	#435	—	3	2	no	—
436	#435	—	3	2	no	—
437	#435	—	3	2	no	—
438	#435	—	3	2	no	—
439	#435	C₂×D₃	1	2	yes	—
440	#435	C₂×D₃	1	2	yes	complemented
441	C₈×D₄	—	3	2	no	—
442	C₈×D₄	—	3	2	no	—
443	C₈×D₄	—	3	2	no	—
444	C₈×D₄	—	3	2	no	—
445	#433	—	3	2	no	—
446	#433	—	3	2	no	—
447	#433	—	3	2	no	—
448	#433	—	3	2	no	—
449	#433	—	3	2	no	—
450	#433	—	3	2	no	—
451	#433	—	3	2	no	—
452	#433	—	3	2	no	—
453	#432	—	3	1	no	—
454	#432	—	3	1	no	—
455	#432	—	3	1	no	—
456	#432	—	3	1	no	—
457	#432	—	3	2	no	—
458	#432	—	3	1	no	—
459	#432	—	3	1	no	—
460	#432	—	3	1	no	—
461	#432	—	3	1	no	—
462	#432	—	3	2	no	—
463	#432	—	3	2	no	—
464	#432	C₂×D₃	1	1	yes	characteristic
465	#432	C₂×D₃	1	1	yes	characteristic, complemented
466	#431	—	3	1	no	—
467	#431	—	3	1	no	—
468	#431	—	3	1	no	—
469	#431	—	3	2	no	—
470	#431	—	3	1	no	—
471	#431	—	3	1	no	—
472	#431	C₂×D₃	1	1	yes	characteristic, complemented
473	#423	—	3	1	no	—
474	#423	—	3	1	no	—
475	#423	—	3	1	no	—
476	#423	—	3	1	no	—
477	#423	C₂×D₃	1	1	yes	characteristic
478	#423	C₂×D₃	1	1	yes	characteristic, complemented
479	C₂×C₄⋊C₈	—	3	1	no	—
480	C₂×C₄⋊C₈	—	3	1	no	—
481	C₂×C₄⋊C₈	—	3	1	no	—
482	C₂×C₄⋊C₈	—	3	1	no	—
483	C₂×C₄⋊C₈	—	3	1	no	—
484	C₂×C₄⋊C₈	C₂×D₃	1	1	yes	characteristic, complemented
485	#408	—	3	2	no	—
486	#408	—	3	2	no	—
487	#408	—	3	2	no	—
488	#408	—	3	2	no	—
489	#407	—	3	2	no	—
490	C₂×C₂²⋊C₈	—	3	2	no	—
491	#405	—	3	2	no	—
492	#405	—	3	2	no	—
493	#405	—	3	2	no	—
494	#405	—	3	2	no	—
495	C₄×M₁₆	—	3	2	no	—
496	C₂×#97	—	3	2	no	—
497	C₂³×D₃	C₂²×C₄	1	1	yes	characteristic
498	C₃×#41	—	4	2	no	—
499	C₂×C₃×Q₈	C₂²×C₄	1	1	yes	characteristic
500	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
501	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
502	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
503	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
504	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
505	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
506	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
507	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
508	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
509	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
510	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
511	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
512	C₂×#67	C₂²×C₄	1	1	yes	characteristic
513	C₂×#67	C₂²×C₄	1	1	yes	characteristic
514	C₂×#67	C₂²×C₄	1	1	yes	characteristic
515	C₂×#67	C₂²×C₄	1	1	yes	characteristic
516	C₂×#67	C₂²×C₄	1	1	yes	characteristic
517	C₂×#67	C₂²×C₄	1	1	yes	characteristic
518	C₂×#67	C₂²×C₄	1	1	yes	characteristic
519	C₂×#67	C₂²×C₄	1	1	yes	characteristic
520	C₂×#67	C₂²×C₄	1	1	yes	characteristic
521	C₂×#67	C₂²×C₄	1	1	yes	characteristic
522	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
523	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
524	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
525	#235	—	4	2	no	—
526	#235	—	4	1	no	—
527	#235	—	4	1	no	—
528	#235	—	4	1	no	—
529	#235	—	4	1	no	—
530	#235	—	4	2	no	—
531	#235	—	4	2	no	—
532	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
533	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
534	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
535	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
536	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
537	C₂×C₄×D₃	—	4	2	no	—
538	C₂×C₄×D₃	—	4	1	no	—
539	C₂×C₄×D₃	—	4	1	no	—
540	C₂×C₄×D₃	—	4	2	no	—
541	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
542	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
543	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
544	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
545	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
546	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
547	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
548	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
549	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
550	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
551	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
552	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
553	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
554	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
555	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
556	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
557	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
558	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
559	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
560	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
561	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
562	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
563	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
564	C₃×M₁₆	—	4	2	no	—
565	C₃×M₁₆	—	4	2	no	—
566	C₂×C₃×C₈	—	4	2	no	—
567	C₂×C₃×C₈	C₂⁴	1	2	yes	—
568	C₂×C₃×C₈	C₂⁴	1	2	yes	—
569	C₂×C₃×C₈	C₂⁴	1	2	yes	—
570	C₂×C₃×C₈	C₂⁴	1	2	yes	—
571	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
572	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
573	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
574	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
575	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
576	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
577	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
578	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
579	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
580	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
581	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
582	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
583	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
584	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
585	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
586	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
587	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
588	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
589	C₃×C₄²	C₂⁴	1	1	yes	characteristic
590	C₃×C₄²	C₂⁴	1	1	yes	characteristic
591	C₃×C₄²	C₂⁴	1	1	yes	characteristic
592	C₃×C₄²	C₂⁴	1	1	yes	characteristic
593	#217	C₂²×C₄	1	1	yes	characteristic
594	#217	C₂²×C₄	1	1	yes	characteristic
595	#217	C₂²×C₄	1	1	yes	characteristic
596	#217	C₂²×C₄	1	1	yes	characteristic
597	#217	C₂²×C₄	1	1	yes	characteristic
598	#217	C₂²×C₄	1	1	yes	characteristic
599	#217	C₂²×C₄	1	1	yes	characteristic
600	#217	C₂²×C₄	1	1	yes	characteristic
601	#217	C₂²×C₄	1	1	yes	characteristic
602	#217	C₂²×C₄	1	1	yes	characteristic
603	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
604	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
605	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
606	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
607	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
608	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
609	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
610	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
611	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
612	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
613	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
614	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
615	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
616	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
617	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
618	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
619	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
620	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
621	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
622	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
623	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
624	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
625	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
626	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
627	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
628	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
629	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
630	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
631	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
632	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
633	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
634	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
635	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
636	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
637	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
638	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
639	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
640	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
641	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
642	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
643	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
644	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
645	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
646	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
647	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
648	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
649	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
650	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
651	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
652	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
653	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
654	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
655	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
656	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
657	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
658	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
659	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
660	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
661	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
662	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
663	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
664	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
665	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
666	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
667	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
668	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
669	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
670	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
671	#208	—	4	2	no	—
672	#208	—	4	2	no	—
673	C₂×C₃⋊C₈	—	4	2	no	—
674	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
675	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
676	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
677	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
678	ΓL(1,𝔽₂₅)	—	4	2	no	—
679	ΓL(1,𝔽₂₅)	—	4	2	no	—
680	D₃×C₈	—	4	2	no	—
681	D₃×C₈	—	4	2	no	—
682	D₃×C₈	—	4	2	no	—
683	D₃×C₈	—	4	2	no	—
684	C₂×#41	—	3	1	no	—
685	C₂×#41	—	3	1	no	—
686	C₂×#41	—	3	1	no	—
687	C₂×#41	—	3	1	no	—
688	C₂×#41	—	3	1	no	—
689	C₂×#41	C₄×D₃	1	1	yes	characteristic
690	C₂³×C₄	—	3	1	no	—
691	C₂³×C₄	—	3	1	no	—
692	C₂³×C₄	—	3	1	no	—
693	C₂×M₁₆	—	3	2	no	—
694	C₂×M₁₆	—	3	2	no	—
695	C₂×M₁₆	—	3	2	no	—
696	C₂×M₁₆	—	3	2	no	—
697	C₂×M₁₆	C₂²×D₃	1	2	yes	—
698	C₂×M₁₆	C₂²×D₃	1	2	yes	—
699	C₂²×C₈	—	3	2	no	—
700	C₂²×C₈	—	3	2	no	—
701	C₂²×C₈	—	3	2	no	—
702	C₂²×C₈	—	3	2	no	—
703	C₂²×C₈	—	3	2	no	—
704	C₂²×C₈	C₂²×D₃	1	2	yes	—
705	C₄⋊Q₈	—	3	1	no	—
706	C₄⋊Q₈	—	3	1	no	—
707	C₄⋊Q₈	—	3	1	no	—
708	#127	—	3	1	no	—
709	#126	—	3	1	no	—
710	#126	—	3	1	no	—
711	#126	—	3	1	no	—
712	#126	—	3	1	no	—
713	#126	—	3	1	no	—
714	#126	—	3	1	no	—
715	#126	—	3	1	no	—
716	#126	—	3	1	no	—
717	#125	—	3	1	no	—
718	#125	—	3	1	no	—
719	#125	—	3	1	no	—
720	#125	—	3	1	no	—
721	#125	—	3	1	no	—
722	#125	—	3	1	no	—
723	#124	—	3	1	no	—
724	#124	—	3	1	no	—
725	#124	—	3	1	no	—
726	#124	—	3	1	no	—
727	#124	—	3	1	no	—
728	#124	—	3	1	no	—
729	#123	—	3	1	no	—
730	#123	—	3	1	no	—
731	#123	—	3	1	no	—
732	#123	—	3	1	no	—
733	#123	—	3	1	no	—
734	#123	—	3	1	no	—
735	#123	—	3	1	no	—
736	#123	—	3	1	no	—
737	#123	—	3	1	no	—
738	#123	—	3	1	no	—
739	#123	—	3	1	no	—
740	#123	—	3	1	no	—
741	C₂²⋊Q₈	—	3	1	no	—
742	C₂²⋊Q₈	—	3	1	no	—
743	C₂²⋊Q₈	—	3	1	no	—
744	C₂²⋊Q₈	—	3	1	no	—
745	C₂²⋊Q₈	—	3	1	no	—
746	C₂²⋊Q₈	—	3	1	no	—
747	C₂²⋊Q₈	—	3	1	no	—
748	C₂²⋊Q₈	—	3	1	no	—
749	C₂²⋊Q₈	—	3	1	no	—
750	C₂²⋊Q₈	—	3	1	no	—
751	C₂²⋊Q₈	—	3	1	no	—
752	C₂²⋊Q₈	—	3	1	no	—
753	#121	—	3	1	no	—
754	#121	—	3	1	no	—
755	#121	—	3	1	no	—
756	#121	—	3	1	no	—
757	#121	—	3	1	no	—
758	#121	—	3	1	no	—
759	#121	—	3	1	no	—
760	#121	—	3	1	no	—
761	#121	—	3	1	no	—
762	#121	—	3	1	no	—
763	#121	—	3	1	no	—
764	#121	—	3	1	no	—
765	#120	—	3	1	no	—
766	#120	—	3	1	no	—
767	#120	—	3	1	no	—
768	#120	—	3	1	no	—
769	C₄×Q₈	—	3	1	no	—
770	C₄×Q₈	—	3	1	no	—
771	C₄×Q₈	—	3	1	no	—
772	C₄×Q₈	—	3	1	no	—
773	C₄×Q₈	—	3	1	no	—
774	C₄×Q₈	—	3	1	no	—
775	C₄×Q₈	—	3	1	no	—
776	C₄×Q₈	—	3	1	no	—
777	C₄×Q₈	—	3	1	no	—
778	C₄×Q₈	—	3	1	no	—
779	C₄×Q₈	C₄×D₃	1	1	yes	characteristic
780	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
781	C₄×D₄	—	3	1	no	—
782	C₄×D₄	—	3	1	no	—
783	C₄×D₄	—	3	1	no	—
784	C₄×D₄	—	3	1	no	—
785	C₄×D₄	—	3	1	no	—
786	C₄×D₄	—	3	1	no	—
787	C₄×D₄	—	3	1	no	—
788	C₄×D₄	—	3	1	no	—
789	C₄×D₄	—	3	1	no	—
790	C₄×D₄	—	3	1	no	—
791	C₄×D₄	—	3	1	no	—
792	C₄×D₄	—	3	1	no	—
793	C₄×D₄	—	3	1	no	—
794	C₄×D₄	—	3	1	no	—
795	C₄×D₄	—	3	1	no	—
796	C₄×D₄	—	3	1	no	—
797	C₄×D₄	—	3	1	no	—
798	C₄×D₄	—	3	1	no	—
799	C₄×D₄	—	3	1	no	—
800	C₄×D₄	—	3	1	no	—
801	C₄×D₄	—	3	1	no	—
802	C₄×D₄	—	3	1	no	—
803	C₄×D₄	—	3	1	no	—
804	C₄×D₄	—	3	1	no	—
805	C₄×D₄	—	3	1	no	—
806	C₄×D₄	—	3	1	no	—
807	C₄×D₄	—	3	1	no	—
808	C₄×D₄	—	3	1	no	—
809	C₄×D₄	—	3	1	no	—
810	C₄×D₄	—	3	1	no	—
811	C₄×D₄	C₄×D₃	1	1	yes	characteristic
812	C₄×D₄	C₄×D₃	1	1	yes	characteristic
813	C₄×D₄	C₄×D₃	1	1	yes	characteristic
814	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
815	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
816	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
817	#117	—	3	1	no	—
818	#117	—	3	1	no	—
819	#117	—	3	1	no	—
820	#117	—	3	1	no	—
821	#117	—	3	1	no	—
822	#117	—	3	1	no	—
823	#117	—	3	1	no	—
824	#117	—	3	1	no	—
825	#117	—	3	1	no	—
826	#117	—	3	1	no	—
827	#117	—	3	1	no	—
828	#117	—	3	1	no	—
829	#117	—	3	1	no	—
830	#117	—	3	1	no	—
831	#117	—	3	1	no	—
832	#117	C₄×D₃	1	1	yes	characteristic
833	#117	C₄×D₃	1	1	yes	characteristic
834	#117	C₄×D₃	1	1	yes	characteristic
835	C₂×C₄²	—	3	1	no	—
836	C₂×C₄²	—	3	1	no	—
837	C₂×C₄²	—	3	1	no	—
838	C₂×C₄²	—	3	1	no	—
839	C₂×C₄²	—	3	1	no	—
840	C₂×C₄²	—	3	1	no	—
841	C₂×C₄²	—	3	1	no	—
842	C₂×C₄²	—	3	1	no	—
843	C₂×C₄²	—	3	1	no	—
844	C₂×C₄²	—	3	1	no	—
845	C₂×C₄²	—	3	1	no	—
846	C₂×C₄²	—	3	1	no	—
847	C₂×C₄²	—	3	1	no	—
848	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
849	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
850	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
851	C₄⋊C₈	—	3	2	no	—
852	C₄⋊C₈	—	3	2	no	—
853	C₄⋊C₈	—	3	2	no	—
854	C₄⋊C₈	—	3	2	no	—
855	C₄⋊C₈	—	3	2	no	—
856	C₄⋊C₈	—	3	2	no	—
857	C₄⋊C₈	—	3	1	no	—
858	C₄⋊C₈	—	3	1	no	—
859	C₄⋊C₈	—	3	1	no	—
860	C₄⋊C₈	—	3	1	no	—
861	C₄⋊C₈	—	3	2	no	—
862	C₄⋊C₈	—	3	2	no	—
863	C₄⋊C₈	—	3	2	no	—
864	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
865	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
866	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
867	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
868	C₄⋊C₈	C₂²×D₃	1	2	yes	—
869	C₄⋊C₈	C₂²×D₃	1	2	yes	—
870	C₄⋊C₈	C₂²×D₃	1	2	yes	—
871	C₂²⋊C₈	—	3	2	no	—
872	C₂²⋊C₈	—	3	2	no	—
873	C₂²⋊C₈	—	3	2	no	—
874	C₂²⋊C₈	—	3	2	no	—
875	C₂²⋊C₈	—	3	2	no	—
876	C₂²⋊C₈	—	3	2	no	—
877	C₂²⋊C₈	—	3	2	no	—
878	C₂²⋊C₈	—	3	2	no	—
879	C₂²⋊C₈	—	3	2	no	—
880	C₂²⋊C₈	—	3	2	no	—
881	C₂²⋊C₈	—	3	2	no	—
882	C₂²⋊C₈	—	3	2	no	—
883	C₂²⋊C₈	—	3	2	no	—
884	C₂²⋊C₈	C₂²×D₃	1	2	yes	—
885	C₂²⋊C₈	C₂²×D₃	1	2	yes	—
886	C₂²⋊C₈	C₂²×D₃	1	2	yes	—
887	#97	—	3	2	no	—
888	#97	—	3	2	no	—
889	#97	—	3	2	no	—
890	#97	—	3	2	no	—
891	#97	—	3	2	no	—
892	#97	—	3	2	no	—
893	#97	—	3	2	no	—
894	#97	—	3	2	no	—
895	#97	C₂²×D₃	1	2	yes	—
896	#97	C₂²×D₃	1	2	yes	—
897	C₄×C₈	—	3	2	no	—
898	C₄×C₈	—	3	2	no	—
899	C₄×C₈	—	3	2	no	—
900	C₄×C₈	—	3	2	no	—
901	C₄×C₈	—	3	2	no	—
902	C₄×C₈	C₂²×D₃	1	2	yes	—
903	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
904	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
905	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
906	C₂²×D₃	—	2	2	no	—
907	C₂²×D₃	—	4	1	no	—
908	C₂²×D₃	—	4	1	no	—
909	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
910	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
911	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
912	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
913	C₃×Q₈	—	4	1	no	—
914	C₃×D₄	—	4	1	no	—
915	C₃×D₄	—	4	1	no	—
916	C₃×D₄	—	4	1	no	—
917	C₂×C₃×C₄	—	2	2	no	—
918	C₂×C₃×C₄	—	2	2	no	—
919	C₂×C₃×C₄	—	2	2	no	—
920	C₂×C₃×C₄	—	2	1	no	—
921	C₂×C₃×C₄	—	2	1	no	—
922	C₂×C₃×C₄	—	2	1	no	—
923	C₂×C₃×C₄	—	2	1	no	—
924	C₂×C₃×C₄	—	2	1	no	—
925	C₂×C₃×C₄	—	2	1	no	—
926	C₂×C₃×C₄	—	4	1	no	—
927	C₂×C₃×C₄	—	4	1	no	—
928	C₂×C₃×C₄	—	4	1	no	—
929	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
930	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
931	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
932	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
933	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
934	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
935	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
936	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
937	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
938	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
939	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
940	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
941	#67	—	2	2	no	—
942	#67	—	2	2	no	—
943	#67	—	4	1	no	—
944	#67	—	4	1	no	—
945	#67	—	4	1	no	—
946	#67	—	4	1	no	—
947	#67	—	4	1	no	—
948	#67	—	4	1	no	—
949	#67	—	4	1	no	—
950	#67	—	4	1	no	—
951	C₂×Dic₃	—	4	1	no	—
952	C₂×Dic₃	—	4	1	no	—
953	C₂×Dic₃	—	4	1	no	—
954	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
955	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
956	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
957	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
958	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
959	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
960	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
961	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
962	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
963	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
964	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
965	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
966	D₁₂	—	2	2	no	—
967	D₁₂	—	2	2	no	—
968	D₁₂	—	4	1	no	—
969	D₁₂	—	4	1	no	—
970	D₁₂	—	4	1	no	—
971	C₄×D₃	—	2	2	no	—
972	C₄×D₃	—	2	2	no	—
973	C₄×D₃	—	2	2	no	—
974	C₄×D₃	—	2	2	no	—
975	C₄×D₃	—	2	2	no	—
976	C₄×D₃	—	2	2	no	—
977	C₄×D₃	—	2	1	no	—
978	C₄×D₃	—	2	1	no	—
979	C₄×D₃	—	2	1	no	—
980	C₄×D₃	—	2	1	no	—
981	C₄×D₃	—	2	1	no	—
982	C₄×D₃	—	2	1	no	—
983	C₄×D₃	—	2	1	no	—
984	C₄×D₃	—	2	1	no	—
985	C₄×D₃	—	4	1	no	—
986	C₄×D₃	—	4	1	no	—
987	C₄×D₃	—	4	1	no	—
988	C₄×D₃	—	4	1	no	—
989	C₄×D₃	—	4	1	no	—
990	C₄×D₃	—	4	1	no	—
991	C₄×D₃	—	4	1	no	—
992	C₄×D₃	—	4	1	no	—
993	Dic₆	—	4	1	no	—
994	Dic₆	—	4	1	no	—
995	Dic₆	—	4	1	no	—
996	Dic₆	—	4	1	no	—
997	Dic₆	—	4	1	no	—
998	C₃×C₈	—	2	2	no	—
999	C₃×C₈	—	2	2	no	—
1000	C₃×C₈	—	2	2	no	—
1001	C₃×C₈	—	2	2	no	—
1002	C₃⋊C₈	—	2	2	no	—
1003	C₃⋊C₈	—	2	2	no	—
1004	C₃⋊C₈	—	2	2	no	—
1005	C₃⋊C₈	—	2	2	no	—
1006	C₂⁴	—	3	1	no	—
1007	#41	—	4	2	no	—
1008	#41	—	12	1	no	—
1009	#41	—	12	1	no	—
1010	#41	—	12	1	no	—
1011	#41	—	12	1	no	—
1012	#41	—	12	2	no	—
1013	#41	—	12	2	no	—
1014	#41	—	12	2	no	—
1015	C₂×Q₈	—	3	1	no	—
1016	C₂×Q₈	—	3	1	no	—
1017	C₂×Q₈	—	3	1	no	—
1018	C₂×Q₈	—	3	1	no	—
1019	C₂×Q₈	—	3	1	no	—
1020	C₂×Q₈	C₂×C₄×D₃	1	1	yes	characteristic
1021	C₂×D₄	—	3	1	no	—
1022	C₂×D₄	—	3	1	no	—
1023	C₂×D₄	—	3	1	no	—
1024	C₂×D₄	—	3	1	no	—
1025	C₂×D₄	—	3	1	no	—
1026	C₂×D₄	—	3	1	no	—
1027	C₂×D₄	—	3	1	no	—
1028	C₂×D₄	—	3	1	no	—
1029	C₂×D₄	—	3	1	no	—
1030	C₂×D₄	—	3	1	no	—
1031	C₂×D₄	—	3	1	no	—
1032	C₂×D₄	—	3	1	no	—
1033	C₂×D₄	—	3	1	no	—
1034	C₂×D₄	—	3	1	no	—
1035	C₂×D₄	—	3	1	no	—
1036	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1037	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1038	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1039	C₂²×C₄	—	3	1	no	—
1040	C₂²×C₄	—	3	1	no	—
1041	C₂²×C₄	—	3	1	no	—
1042	C₂²×C₄	—	3	1	no	—
1043	C₂²×C₄	—	3	1	no	—
1044	C₂²×C₄	—	3	1	no	—
1045	C₂²×C₄	—	3	1	no	—
1046	C₂²×C₄	—	3	1	no	—
1047	C₂²×C₄	—	3	1	no	—
1048	C₂²×C₄	—	3	1	no	—
1049	C₂²×C₄	—	3	1	no	—
1050	C₂²×C₄	—	3	1	no	—
1051	C₂²×C₄	—	3	1	no	—
1052	C₂²×C₄	—	3	1	no	—
1053	C₂²×C₄	—	3	1	no	—
1054	C₂²×C₄	—	3	1	no	—
1055	C₂²×C₄	—	3	1	no	—
1056	C₂²×C₄	—	3	1	no	—
1057	C₂²×C₄	—	3	1	no	—
1058	C₂²×C₄	—	3	1	no	—
1059	C₂²×C₄	—	3	1	no	—
1060	C₂²×C₄	—	12	1	no	—
1061	C₂²×C₄	—	12	1	no	—
1062	C₂²×C₄	—	12	2	no	—
1063	C₂²×C₄	—	12	2	no	—
1064	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1065	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1066	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1067	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1068	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1069	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1070	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1071	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1072	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1073	M₁₆	—	4	2	no	—
1074	M₁₆	—	4	2	no	—
1075	M₁₆	—	12	2	no	—
1076	M₁₆	—	12	2	no	—
1077	M₁₆	—	12	2	no	—
1078	M₁₆	—	12	2	no	—
1079	C₂×C₈	—	3	2	no	—
1080	C₂×C₈	—	3	2	no	—
1081	C₂×C₈	—	3	2	no	—
1082	C₂×C₈	—	3	2	no	—
1083	C₂×C₈	—	4	2	no	—
1084	C₂×C₈	—	12	2	no	—
1085	C₂×C₈	—	12	2	no	—
1086	C₂×C₈	—	12	2	no	—
1087	C₂×C₈	—	12	2	no	—
1088	C₂×C₈	—	12	2	no	—
1089	C₂×C₈	C₂³×D₃	1	2	yes	—
1090	C₂×C₈	C₂³×D₃	1	2	yes	—
1091	C₂×C₈	C₂³×D₃	1	2	yes	—
1092	C₂×C₈	C₂³×D₃	1	2	yes	—
1093	C₄⋊C₄	—	3	1	no	—
1094	C₄⋊C₄	—	3	1	no	—
1095	C₄⋊C₄	—	3	1	no	—
1096	C₄⋊C₄	—	3	1	no	—
1097	C₄⋊C₄	—	3	1	no	—
1098	C₄⋊C₄	—	3	1	no	—
1099	C₄⋊C₄	—	3	1	no	—
1100	C₄⋊C₄	—	3	1	no	—
1101	C₄⋊C₄	—	3	1	no	—
1102	C₄⋊C₄	—	3	1	no	—
1103	C₄⋊C₄	—	3	1	no	—
1104	C₄⋊C₄	—	3	1	no	—
1105	C₄⋊C₄	—	3	1	no	—
1106	C₄⋊C₄	—	3	1	no	—
1107	C₄⋊C₄	—	3	1	no	—
1108	C₄⋊C₄	—	3	1	no	—
1109	C₄⋊C₄	—	3	1	no	—
1110	C₄⋊C₄	—	3	1	no	—
1111	C₄⋊C₄	—	3	1	no	—
1112	C₄⋊C₄	—	3	1	no	—
1113	C₄⋊C₄	—	3	1	no	—
1114	C₄⋊C₄	—	3	1	no	—
1115	C₄⋊C₄	—	3	1	no	—
1116	C₄⋊C₄	—	3	1	no	—
1117	C₄⋊C₄	—	3	1	no	—
1118	C₄⋊C₄	—	3	1	no	—
1119	C₄⋊C₄	—	3	1	no	—
1120	C₄⋊C₄	—	3	1	no	—
1121	C₄⋊C₄	—	3	1	no	—
1122	C₄⋊C₄	—	3	1	no	—
1123	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1124	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1125	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1126	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1127	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1128	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1129	C₂²⋊C₄	—	3	1	no	—
1130	C₂²⋊C₄	—	3	1	no	—
1131	C₂²⋊C₄	—	3	1	no	—
1132	C₂²⋊C₄	—	3	1	no	—
1133	C₂²⋊C₄	—	3	1	no	—
1134	C₂²⋊C₄	—	3	1	no	—
1135	C₂²⋊C₄	—	3	1	no	—
1136	C₂²⋊C₄	—	3	1	no	—
1137	C₂²⋊C₄	—	3	1	no	—
1138	C₂²⋊C₄	—	3	1	no	—
1139	C₂²⋊C₄	—	3	1	no	—
1140	C₂²⋊C₄	—	3	1	no	—
1141	C₂²⋊C₄	—	3	1	no	—
1142	C₂²⋊C₄	—	3	1	no	—
1143	C₂²⋊C₄	—	3	1	no	—
1144	C₂²⋊C₄	—	3	1	no	—
1145	C₂²⋊C₄	—	3	1	no	—
1146	C₂²⋊C₄	—	3	1	no	—
1147	C₂²⋊C₄	—	3	1	no	—
1148	C₂²⋊C₄	—	3	1	no	—
1149	C₂²⋊C₄	—	3	1	no	—
1150	C₂²⋊C₄	—	3	1	no	—
1151	C₂²⋊C₄	—	3	1	no	—
1152	C₂²⋊C₄	—	3	1	no	—
1153	C₂²⋊C₄	—	3	1	no	—
1154	C₂²⋊C₄	—	3	1	no	—
1155	C₂²⋊C₄	—	3	1	no	—
1156	C₂²⋊C₄	—	3	1	no	—
1157	C₂²⋊C₄	—	3	1	no	—
1158	C₂²⋊C₄	—	3	1	no	—
1159	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1160	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1161	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1162	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1163	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1164	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1165	C₄²	—	3	1	no	—
1166	C₄²	—	3	1	no	—
1167	C₄²	—	3	1	no	—
1168	C₄²	—	3	1	no	—
1169	C₄²	—	3	1	no	—
1170	C₄²	—	3	1	no	—
1171	C₄²	—	3	1	no	—
1172	C₄²	—	3	1	no	—
1173	C₄²	—	3	1	no	—
1174	C₄²	—	3	1	no	—
1175	C₄²	—	3	1	no	—
1176	C₄²	—	3	1	no	—
1177	C₄²	—	3	1	no	—
1178	C₄²	—	3	1	no	—
1179	C₄²	—	3	1	no	—
1180	C₄²	—	3	1	no	—
1181	C₄²	—	3	1	no	—
1182	C₄²	—	3	1	no	—
1183	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1184	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1185	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1186	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1187	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1188	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1189	C₄²	C₂³×D₃	1	1	yes	characteristic
1190	C₄²	C₂³×D₃	1	1	yes	characteristic
1191	C₄²	C₂³×D₃	1	1	yes	characteristic
1192	C₄²	C₂³×D₃	1	1	yes	characteristic
1193	C₂²×C₃	—	2	1	no	—
1194	C₂²×C₃	—	2	1	no	—
1195	C₂²×C₃	—	2	1	no	—
1196	C₂²×C₃	—	2	1	no	—
1197	C₂²×C₃	—	2	1	no	—
1198	C₂²×C₃	—	2	1	no	—
1199	C₂²×C₃	—	2	1	no	—
1200	C₂²×C₃	—	2	1	no	—
1201	C₂²×C₃	—	2	1	no	—
1202	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1203	C₂×D₃	—	2	1	no	—
1204	C₂×D₃	—	2	1	no	—
1205	C₂×D₃	—	2	1	no	—
1206	C₂×D₃	—	2	1	no	—
1207	C₂×D₃	—	2	1	no	—
1208	C₂×D₃	—	2	1	no	—
1209	C₂×D₃	—	2	1	no	—
1210	C₂×D₃	—	2	1	no	—
1211	C₂×D₃	—	2	1	no	—
1212	C₂×D₃	—	2	1	no	—
1213	C₂×D₃	—	2	1	no	—
1214	C₂×D₃	—	4	4	no	—
1215	C₂×D₃	#568	1	2	yes	—
1216	C₃×C₄	—	2	1	no	—
1217	C₃×C₄	—	2	1	no	—
1218	C₃×C₄	—	2	1	no	—
1219	C₃×C₄	—	2	1	no	—
1220	C₃×C₄	—	2	1	no	—
1221	C₃×C₄	—	2	1	no	—
1222	C₃×C₄	—	2	1	no	—
1223	C₃×C₄	—	2	1	no	—
1224	C₃×C₄	—	2	1	no	—
1225	C₃×C₄	—	2	1	no	—
1226	C₃×C₄	#568	1	2	yes	—
1227	C₃×C₄	#585	1	1	yes	characteristic
1228	C₃×C₄	#585	1	1	yes	characteristic
1229	Dic₃	—	2	1	no	—
1230	Dic₃	—	2	1	no	—
1231	Dic₃	—	2	1	no	—
1232	Dic₃	—	2	1	no	—
1233	Dic₃	—	2	1	no	—
1234	Dic₃	—	2	1	no	—
1235	Dic₃	—	2	1	no	—
1236	Dic₃	—	2	1	no	—
1237	Dic₃	—	2	1	no	—
1238	Dic₃	—	2	1	no	—
1239	Dic₃	—	2	1	no	—
1240	Dic₃	—	2	1	no	—
1241	C₂³	—	3	1	no	—
1242	C₂³	—	3	1	no	—
1243	C₂³	—	3	1	no	—
1244	C₂³	—	3	1	no	—
1245	C₂³	—	6	2	no	—
1246	C₂³	—	12	1	no	—
1247	C₂³	—	12	1	no	—
1248	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1249	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1250	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1251	Q₈	—	4	1	no	—
1252	Q₈	—	12	1	no	—
1253	Q₈	—	12	1	no	—
1254	Q₈	—	12	1	no	—
1255	Q₈	—	12	1	no	—
1256	Q₈	—	12	1	no	—
1257	D₄	—	4	1	no	—
1258	D₄	—	4	1	no	—
1259	D₄	—	4	1	no	—
1260	D₄	—	6	2	no	—
1261	D₄	—	6	2	no	—
1262	D₄	—	6	2	no	—
1263	D₄	—	6	2	no	—
1264	D₄	—	12	1	no	—
1265	D₄	—	12	1	no	—
1266	D₄	—	12	1	no	—
1267	D₄	—	12	1	no	—
1268	D₄	—	12	1	no	—
1269	D₄	—	12	1	no	—
1270	D₄	—	12	1	no	—
1271	D₄	—	12	1	no	—
1272	D₄	—	12	1	no	—
1273	D₄	—	12	1	no	—
1274	D₄	—	12	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	2	no	—
1282	C₂×C₄	—	2	2	no	—
1283	C₂×C₄	—	2	2	no	—
1284	C₂×C₄	—	3	1	no	—
1285	C₂×C₄	—	3	1	no	—
1286	C₂×C₄	—	3	1	no	—
1287	C₂×C₄	—	3	1	no	—
1288	C₂×C₄	—	3	1	no	—
1289	C₂×C₄	—	3	1	no	—
1290	C₂×C₄	—	3	1	no	—
1291	C₂×C₄	—	3	1	no	—
1292	C₂×C₄	—	3	1	no	—
1293	C₂×C₄	—	3	1	no	—
1294	C₂×C₄	—	3	1	no	—
1295	C₂×C₄	—	3	1	no	—
1296	C₂×C₄	—	4	1	no	—
1297	C₂×C₄	—	4	1	no	—
1298	C₂×C₄	—	4	1	no	—
1299	C₂×C₄	—	6	2	no	—
1300	C₂×C₄	—	6	2	no	—
1301	C₂×C₄	—	6	1	no	—
1302	C₂×C₄	—	6	1	no	—
1303	C₂×C₄	—	6	1	no	—
1304	C₂×C₄	—	6	1	no	—
1305	C₂×C₄	—	6	1	no	—
1306	C₂×C₄	—	6	1	no	—
1307	C₂×C₄	—	6	1	no	—
1308	C₂×C₄	—	6	1	no	—
1309	C₂×C₄	—	6	2	no	—
1310	C₂×C₄	—	6	2	no	—
1311	C₂×C₄	—	6	2	no	—
1312	C₂×C₄	—	6	2	no	—
1313	C₂×C₄	—	12	1	no	—
1314	C₂×C₄	—	12	1	no	—
1315	C₂×C₄	—	12	1	no	—
1316	C₂×C₄	—	12	1	no	—
1317	C₂×C₄	—	12	1	no	—
1318	C₂×C₄	—	12	1	no	—
1319	C₂×C₄	—	12	1	no	—
1320	C₂×C₄	—	12	1	no	—
1321	C₂×C₄	—	12	1	no	—
1322	C₂×C₄	—	12	1	no	—
1323	C₂×C₄	—	12	1	no	—
1324	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1325	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1326	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1327	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1328	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1329	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1330	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1331	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1332	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1333	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1334	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1335	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1336	C₈	—	2	2	no	—
1337	C₈	—	2	2	no	—
1338	C₈	—	2	2	no	—
1339	C₈	—	2	2	no	—
1340	C₈	—	6	2	no	—
1341	C₈	—	6	2	no	—
1342	C₈	—	6	2	no	—
1343	C₈	—	6	2	no	—
1344	C₂×C₃	—	4	1	no	—
1345	C₂×C₃	—	4	1	no	—
1346	C₂×C₃	—	4	1	no	—
1347	C₂×C₃	#3428	1	1	yes	characteristic
1348	C₂×C₃	C₂×#568	1	1	yes	characteristic
1349	C₂×C₃	C₂×#568	1	1	yes	characteristic
1350	D₃	—	2	2	no	—
1351	D₃	—	4	1	no	—
1352	D₃	—	4	1	no	—
1353	D₃	—	4	1	no	—
1354	C₂²	—	2	1	no	—
1355	C₂²	—	2	1	no	—
1356	C₂²	—	2	1	no	—
1357	C₂²	—	2	1	no	—
1358	C₂²	—	2	1	no	—
1359	C₂²	—	2	1	no	—
1360	C₂²	—	2	1	no	—
1361	C₂²	—	2	1	no	—
1362	C₂²	—	2	1	no	—
1363	C₂²	—	3	2	no	—
1364	C₂²	—	6	1	no	—
1365	C₂²	—	6	1	no	—
1366	C₂²	—	6	1	no	—
1367	C₂²	—	6	1	no	—
1368	C₂²	—	6	1	no	—
1369	C₂²	—	6	1	no	—
1370	C₂²	—	6	1	no	—
1371	C₂²	—	6	1	no	—
1372	C₂²	—	6	1	no	—
1373	C₂²	—	6	1	no	—
1374	C₂²	—	6	1	no	—
1375	C₂²	—	12	4	no	—
1376	C₂²	C₂³×C₄×D₃	1	1	yes	characteristic
1377	C₄	—	2	1	no	—
1378	C₄	—	2	1	no	—
1379	C₄	—	2	1	no	—
1380	C₄	—	2	1	no	—
1381	C₄	—	2	1	no	—
1382	C₄	—	2	1	no	—
1383	C₄	—	2	1	no	—
1384	C₄	—	2	1	no	—
1385	C₄	—	2	1	no	—
1386	C₄	—	2	1	no	—
1387	C₄	—	6	1	no	—
1388	C₄	—	6	1	no	—
1389	C₄	—	6	1	no	—
1390	C₄	—	6	1	no	—
1391	C₄	—	6	1	no	—
1392	C₄	—	6	1	no	—
1393	C₄	—	6	1	no	—
1394	C₄	—	6	1	no	—
1395	C₄	—	6	1	no	—
1396	C₄	—	6	1	no	—
1397	C₄	—	6	1	no	—
1398	C₄	—	6	1	no	—
1399	C₄	#5745	1	2	yes	—
1400	C₄	#5966	1	1	yes	characteristic
1401	C₄	#5968	1	1	yes	characteristic
1402	C₃	#60293	1	1	yes	characteristic, complemented, Sylow
1403	C₂	—	4	1	no	—
1404	C₂	—	4	1	no	—
1405	C₂	—	4	1	no	—
1406	C₂	—	6	2	no	—
1407	C₂	—	12	1	no	—
1408	C₂	—	12	1	no	—
1409	C₂	—	12	1	no	—
1410	C₂	#85885	1	1	yes	characteristic
1411	C₂	C₂×#5745	1	1	yes	characteristic
1412	C₂	D₃×#568	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₃
commutator, socle	C₂²×C₃	C₂⁴×C₄
Fitting	C₃×#2989	C₂
prime radical	#85836	C₂
cosocle	C₂×C₃×C₄	C₂⁵
hypercenter	#2989	D₃
hypocenter	C₃	#60293
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₄ ◁ #2989

Complements

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

N	H ≅ G/N	type
2. C₃×#2989	C₂	semidirect
3. #82521	C₂	semidirect
4. #79968	C₂	semidirect
5. #79941	C₂	semidirect
6. #79544	C₂	semidirect
7. #79519	C₂	semidirect
8. #79491	C₂	semidirect
9. #79488	C₂	semidirect
10. #79458	C₂	semidirect
11. #79455	C₂	semidirect
12. #79340	C₂	semidirect
13. #79339	C₂	semidirect
14. #79334	C₂	semidirect
15. D₃×#432	C₂	semidirect
16. #79293	C₂	semidirect
17. #79285	C₂	semidirect
18. #79051	C₂	semidirect
19. #79050	C₂	semidirect
20. #79040	C₂	semidirect
21. #79038	C₂	semidirect
22. #79015	C₂	semidirect
23. #79000	C₂	semidirect
56. C₃×#446	C₂²	semidirect
59. C₃×#435	C₂²	semidirect
61. C₃×#432	C₂²	semidirect
62. C₃×#431	C₂²	semidirect
64. C₃×#423	C₂²	semidirect
65. C₂×C₃×C₄⋊C₈	C₂²	semidirect
70. #5127	C₂²	semidirect
72. #5122	C₂²	semidirect
74. #5111	C₂²	semidirect
77. #5101	C₂²	semidirect
78. #5024	C₂²	semidirect
81. #5011	C₂²	semidirect
83. #4926	C₂²	semidirect
84. #4925	C₂²	semidirect
86. #4924	C₂²	semidirect
87. C₂×C₄⋊(C₃⋊C₈)	C₂²	semidirect
90. #4840	C₂²	semidirect
91. #4840	C₂²	semidirect
92. #4837	C₂²	semidirect
93. #4837	C₂²	semidirect
95. #4836	C₂²	semidirect
101. #4835	C₂²	semidirect
102. #4835	C₂²	semidirect
107. #4833	C₂²	semidirect
108. #4833	C₂²	semidirect
111. D₃×C₄⋊C₈	C₂²	semidirect
112. D₃×C₄⋊C₈	C₂²	semidirect
113. #4831	C₂²	semidirect
114. #4828	C₂²	semidirect
115. #4828	C₂²	semidirect
116. #4730	C₂²	semidirect
120. #4728	C₂²	semidirect
125. #4720	C₂²	semidirect
126. #4720	C₂²	semidirect
129. #4708	C₂²	semidirect
131. #4706	C₂²	semidirect
134. #4701	C₂²	semidirect
135. #4701	C₂²	semidirect
137. #4689	C₂²	semidirect
139. #4679	C₂²	semidirect
148. #2989	D₃	semidirect
420. #446	C₂×D₃	semidirect
440. #435	C₂×D₃	semidirect
465. #432	C₂×D₃	semidirect
472. #431	C₂×D₃	semidirect
478. #423	C₂×D₃	semidirect
484. C₂×C₄⋊C₈	C₂×D₃	semidirect
1402. C₃	#60293	semidirect

Maximal subgroups

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

subgroup	index
#85836	2
C₃×#2989	2
#82521	2
#79968	2
#79941	2
#79544	2
#79519	2
#79491	2
#79488	2
#79458	2
#79455	2
#79340	2
#79339	2
#79334	2
D₃×#432	2
#79293	2
#79285	2
#79051	2
#79050	2
#79040	2
#79038	2
#79015	2
#79000	2
#60293	3