Subgroups — #11660328

Order 768.

1918 conjugacy classes of subgroups.

The subgroup lattice has 1428 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×#2990	C₂	1	1	yes	maximal, characteristic, complemented
3	#82522	C₂	1	1	yes	maximal, characteristic, complemented
4	#79961	C₂	1	2	yes	maximal, complemented
5	#79946	C₂	1	2	yes	maximal, complemented
6	#79484	C₂	1	2	yes	maximal, complemented
7	#79478	C₂	1	2	yes	maximal, complemented
8	#79466	C₂	1	2	yes	maximal, complemented
9	#79464	C₂	1	2	yes	maximal, complemented
10	#79421	C₂	1	2	yes	maximal, complemented
11	#79409	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	#79331	C₂	1	1	yes	maximal, characteristic, complemented
16	#79291	C₂	1	1	yes	maximal, characteristic, complemented
17	#79285	C₂	1	1	yes	maximal, characteristic, complemented
18	#79050	C₂	1	1	yes	maximal, characteristic, complemented
19	#79049	C₂	1	1	yes	maximal, characteristic, complemented
20	#79015	C₂	1	1	yes	maximal, characteristic, complemented
21	#79013	C₂	1	1	yes	maximal, characteristic, complemented
22	#79012	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×D₃×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
24	#60265	—	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	C₂×#907	C₂²	1	2	yes	—
29	C₂×#901	C₂²	1	2	yes	—
30	C₂²×D₃×C₈	C₂²	1	2	yes	—
31	#5580	C₄	1	1	yes	characteristic
32	#5580	C₂²	1	1	yes	characteristic
33	#5578	C₄	1	1	yes	characteristic
34	#5578	C₂²	1	1	yes	characteristic
35	#5557	C₄	1	1	yes	characteristic
36	#5557	C₂²	1	1	yes	characteristic
37	#5548	C₄	1	1	yes	characteristic
38	#5548	C₂²	1	1	yes	characteristic
39	#5547	C₄	1	1	yes	characteristic
40	#5547	C₄	1	1	yes	characteristic
41	#5547	C₂²	1	1	yes	characteristic
42	#5547	C₂²	1	1	yes	characteristic
43	#5538	C₄	1	1	yes	characteristic
44	#5538	C₄	1	1	yes	characteristic
45	#5538	C₂²	1	1	yes	characteristic
46	#5538	C₂²	1	1	yes	characteristic
47	#5528	C₄	1	1	yes	characteristic
48	#5528	C₄	1	1	yes	characteristic
49	#5528	C₄	1	1	yes	characteristic
50	#5528	C₄	1	1	yes	characteristic
51	#5524	C₄	1	1	yes	characteristic
52	#5517	C₄	1	1	yes	characteristic
53	C₄×#235	C₂²	1	1	yes	characteristic
54	C₄×#235	C₂²	1	1	yes	characteristic
55	C₄×#235	C₂²	1	1	yes	characteristic
56	C₄×#235	C₂²	1	1	yes	characteristic
57	C₄×#235	C₂²	1	1	yes	characteristic
58	C₂×C₄²×D₃	C₂²	1	1	yes	characteristic
59	C₃×#446	C₂²	1	2	yes	complemented
60	C₃×#435	C₂²	1	2	yes	—
61	C₃×#435	C₂²	1	2	yes	complemented
62	C₃×C₈×D₄	C₂²	1	2	yes	—
63	C₃×#432	C₂²	1	1	yes	characteristic
64	C₃×#432	C₂²	1	1	yes	characteristic, complemented
65	C₃×#431	C₂²	1	1	yes	characteristic, complemented
66	C₃×#423	C₂²	1	1	yes	characteristic, complemented
67	C₂×C₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
68	C₂×C₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
69	#5128	C₂²	1	2	yes	complemented
70	#5127	C₂²	1	2	yes	—
71	#5119	C₂²	1	2	yes	complemented
72	#5111	C₂²	1	2	yes	—
73	C₈×#67	C₂²	1	2	yes	—
74	C₈×#67	C₂²	1	2	yes	—
75	C₈×#67	C₂²	1	2	yes	complemented
76	#5102	C₂²	1	2	yes	complemented
77	C₂×Dic₃⋊C₈	C₂²	1	2	yes	—
78	#5024	C₂²	1	2	yes	complemented
79	#5011	C₂²	1	2	yes	—
80	#5011	C₂²	1	2	yes	complemented
81	D₄×C₃⋊C₈	C₂²	1	2	yes	—
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, complemented
86	C₂×C₄⋊(C₃⋊C₈)	C₂²	1	1	yes	characteristic
87	C₂×C₄⋊(C₃⋊C₈)	C₂²	1	1	yes	characteristic, complemented
88	#4839	C₂²	1	2	yes	—
89	#4839	C₂²	1	2	yes	—
90	#4839	C₂²	1	2	yes	complemented
91	#4839	C₂²	1	2	yes	complemented
92	#4837	C₂²	1	1	yes	characteristic
93	#4837	C₂²	1	1	yes	characteristic
94	#4837	C₂²	1	1	yes	characteristic, complemented
95	#4837	C₂²	1	1	yes	characteristic, complemented
96	#4836	C₂²	1	2	yes	—
97	#4836	C₂²	1	2	yes	complemented
98	#4835	C₂²	1	1	yes	characteristic, complemented
99	#4835	C₂²	1	1	yes	characteristic, complemented
100	#4834	C₂²	1	2	yes	—
101	#4833	C₂²	1	1	yes	characteristic
102	#4833	C₂²	1	1	yes	characteristic
103	#4833	C₂²	1	1	yes	characteristic, complemented
104	#4833	C₂²	1	1	yes	characteristic, complemented
105	D₃×C₄⋊C₈	C₂²	1	2	yes	—
106	D₃×C₄⋊C₈	C₂²	1	2	yes	—
107	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
108	D₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
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	#4830	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	—
117	#4729	C₂²	1	2	yes	complemented
118	#4728	C₂²	1	2	yes	—
119	#4727	C₂²	1	2	yes	—
120	#4727	C₂²	1	2	yes	—
121	#4726	C₂²	1	2	yes	—
122	#67⋊C₈	C₂²	1	2	yes	—
123	#67⋊C₈	C₂²	1	2	yes	—
124	#67⋊C₈	C₂²	1	2	yes	complemented
125	#4720	C₂²	1	2	yes	complemented
126	#4720	C₂²	1	2	yes	complemented
127	#4718	C₂²	1	2	yes	—
128	#4709	C₂²	1	2	yes	complemented
129	#4708	C₂²	1	2	yes	—
130	#4707	C₂²	1	2	yes	—
131	#4706	C₂²	1	2	yes	—
132	#4706	C₂²	1	2	yes	complemented
133	#4705	C₂²	1	2	yes	—
134	#4701	C₂²	1	2	yes	complemented
135	#4701	C₂²	1	2	yes	complemented
136	#4690	C₂²	1	2	yes	complemented
137	#4689	C₂²	1	2	yes	—
138	C₈×D₁₂	C₂²	1	2	yes	—
139	C₈×Dic₆	C₂²	1	2	yes	complemented
140	#3444	—	3	1	no	—
141	#2994	—	3	2	no	—
142	#2994	—	3	2	no	—
143	#2992	—	3	2	no	—
144	#2992	—	3	2	no	—
145	#2990	—	3	1	no	—
146	#2990	—	3	1	no	—
147	#2990	—	3	1	no	—
148	#2990	D₃	1	1	yes	characteristic, complemented
149	#2989	—	3	1	no	—
150	#2989	—	3	1	no	—
151	#2988	—	3	1	no	—
152	#2988	—	3	1	no	—
153	#2962	—	3	2	no	—
154	#2935	—	3	2	no	—
155	#2929	—	3	2	no	—
156	#2929	—	3	2	no	—
157	#2925	—	3	1	no	—
158	#2925	—	3	1	no	—
159	#2920	—	3	1	no	—
160	#2906	—	3	1	no	—
161	#2906	—	3	1	no	—
162	C₂²×C₄⋊C₈	—	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	C₂²×C₃×C₈	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	C₂²×C₃⋊C₈	C₂³	1	2	yes	—
235	C₂²×C₃⋊C₈	C₂³	1	2	yes	—
236	#907	—	4	4	no	—
237	#901	—	4	4	no	—
238	C₂×ΓL(1,𝔽₂₅)	C₂³	1	2	yes	—
239	C₂×ΓL(1,𝔽₂₅)	C₂³	1	2	yes	—
240	C₂×ΓL(1,𝔽₂₅)	C₂³	1	2	yes	—
241	C₂×ΓL(1,𝔽₂₅)	C₂³	1	2	yes	—
242	C₂×D₃×C₈	—	4	4	no	—
243	C₂×D₃×C₈	C₂³	1	2	yes	—
244	C₂×D₃×C₈	C₂³	1	2	yes	—
245	C₂×D₃×C₈	C₂³	1	2	yes	—
246	C₂×D₃×C₈	C₂³	1	2	yes	—
247	C₂×D₃×C₈	C₂³	1	2	yes	—
248	C₂×D₃×C₈	C₂³	1	2	yes	—
249	#898	C₂×C₄	1	1	yes	characteristic
250	#898	C₂×C₄	1	1	yes	characteristic
251	#898	C₂×C₄	1	1	yes	characteristic
252	#898	C₂×C₄	1	1	yes	characteristic
253	#897	C₂×C₄	1	1	yes	characteristic
254	#897	C₂×C₄	1	1	yes	characteristic
255	#896	C₂×C₄	1	1	yes	characteristic
256	#896	C₂×C₄	1	1	yes	characteristic
257	#896	C₂×C₄	1	1	yes	characteristic
258	#896	C₂×C₄	1	1	yes	characteristic
259	#895	C₂×C₄	1	1	yes	characteristic
260	#895	C₂×C₄	1	1	yes	characteristic
261	#894	C₂×C₄	1	1	yes	characteristic
262	#894	C₂×C₄	1	1	yes	characteristic
263	#894	C₂×C₄	1	1	yes	characteristic
264	#894	C₂×C₄	1	1	yes	characteristic
265	#890	C₂×C₄	1	1	yes	characteristic
266	#890	C₂×C₄	1	1	yes	characteristic
267	#889	C₂×C₄	1	1	yes	characteristic
268	#889	C₂×C₄	1	1	yes	characteristic
269	#889	C₂×C₄	1	1	yes	characteristic
270	#889	C₂×C₄	1	1	yes	characteristic
271	#888	C₂×C₄	1	1	yes	characteristic
272	#888	C₂×C₄	1	1	yes	characteristic
273	#886	C₂×C₄	1	1	yes	characteristic
274	#886	C₂×C₄	1	1	yes	characteristic
275	#885	C₂×C₄	1	1	yes	characteristic
276	#885	C₂×C₄	1	1	yes	characteristic
277	#885	C₂×C₄	1	1	yes	characteristic
278	#885	C₂×C₄	1	1	yes	characteristic
279	#884	C₂×C₄	1	1	yes	characteristic
280	#884	C₂×C₄	1	1	yes	characteristic
281	#884	C₂×C₄	1	1	yes	characteristic
282	#884	C₂×C₄	1	1	yes	characteristic
283	#883	C₂×C₄	1	1	yes	characteristic
284	#883	C₂×C₄	1	1	yes	characteristic
285	#883	C₂×C₄	1	1	yes	characteristic
286	#883	C₂×C₄	1	1	yes	characteristic
287	#882	C₂×C₄	1	1	yes	characteristic
288	#882	C₂×C₄	1	1	yes	characteristic
289	#879	C₂×C₄	1	1	yes	characteristic
290	#879	C₂×C₄	1	1	yes	characteristic
291	#879	C₂×C₄	1	1	yes	characteristic
292	#879	C₂×C₄	1	1	yes	characteristic
293	#878	C₂×C₄	1	1	yes	characteristic
294	#878	C₂×C₄	1	1	yes	characteristic
295	#878	C₂×C₄	1	1	yes	characteristic
296	#878	C₂×C₄	1	1	yes	characteristic
297	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
298	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
299	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
300	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
301	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
302	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
303	C₄×D₁₂	C₂×C₄	1	1	yes	characteristic
304	C₄×D₁₂	C₂³	1	1	yes	characteristic
305	C₄×D₁₂	C₂³	1	1	yes	characteristic
306	C₄×D₁₂	C₂³	1	1	yes	characteristic
307	#872	C₂×C₄	1	1	yes	characteristic
308	#872	C₂×C₄	1	1	yes	characteristic
309	#872	C₂×C₄	1	1	yes	characteristic
310	#872	C₂×C₄	1	1	yes	characteristic
311	#872	C₂×C₄	1	1	yes	characteristic
312	#872	C₂×C₄	1	1	yes	characteristic
313	#872	C₂³	1	1	yes	characteristic
314	#872	C₂³	1	1	yes	characteristic
315	#872	C₂³	1	1	yes	characteristic
316	#872	C₂³	1	1	yes	characteristic
317	C₄²×D₃	C₂×C₄	1	1	yes	characteristic
318	C₄²×D₃	C₂×C₄	1	1	yes	characteristic
319	C₄²×D₃	C₂×C₄	1	1	yes	characteristic
320	C₄²×D₃	C₂×C₄	1	1	yes	characteristic
321	C₄²×D₃	C₂³	1	1	yes	characteristic
322	C₄²×D₃	C₂³	1	1	yes	characteristic
323	C₄²×D₃	C₂³	1	1	yes	characteristic
324	C₄²×D₃	C₂³	1	1	yes	characteristic
325	C₄²×D₃	C₂³	1	1	yes	characteristic
326	C₄²×D₃	C₂³	1	1	yes	characteristic
327	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
328	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
329	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
330	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
331	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
332	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
333	C₄×Dic₆	C₂×C₄	1	1	yes	characteristic
334	C₄×Dic₆	C₂³	1	1	yes	characteristic
335	C₄×Dic₆	C₂³	1	1	yes	characteristic
336	C₄×Dic₆	C₂³	1	1	yes	characteristic
337	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
338	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
339	C₃×C₄⋊C₈	C₂³	1	2	yes	—
340	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
341	C₃×C₄⋊C₈	C₂³	1	2	yes	—
342	C₃×C₄⋊C₈	C₂³	1	2	yes	—
343	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
344	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
345	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
346	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
347	C₃×#97	C₂³	1	2	yes	—
348	C₃×#97	C₂³	1	2	yes	—
349	C₃×C₄×C₈	C₂³	1	2	yes	—
350	#830	C₂³	1	2	yes	—
351	#830	C₂³	1	2	yes	—
352	#830	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	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
357	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
358	(C₂×D₃)⋊C₈	C₂³	1	2	yes	—
359	#815	C₂³	1	2	yes	—
360	#815	C₂³	1	2	yes	—
361	Dic₃⋊C₈	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	Dic₃⋊C₈	C₂³	1	2	yes	—
369	Dic₃⋊C₈	C₂³	1	2	yes	—
370	Dic₃⋊C₈	C₂³	1	2	yes	—
371	C₈×Dic₃	C₂³	1	2	yes	—
372	C₈×Dic₃	C₂³	1	2	yes	—
373	C₈×Dic₃	C₂³	1	2	yes	—
374	C₈×Dic₃	C₂³	1	2	yes	—
375	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
376	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
377	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
378	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
379	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
380	C₄⋊(C₃⋊C₈)	C₂³	1	2	yes	—
381	C₄⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
382	#803	C₂³	1	2	yes	—
383	#803	C₂³	1	2	yes	—
384	C₄×C₃⋊C₈	C₂³	1	2	yes	—
385	C₂×#131	—	3	2	no	—
386	C₂×#131	—	3	2	no	—
387	C₂³×C₈	—	3	2	no	—
388	#533	—	3	1	no	—
389	#533	—	3	1	no	—
390	#533	—	3	1	no	—
391	#532	—	3	1	no	—
392	#532	—	3	1	no	—
393	#532	—	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	#529	—	3	1	no	—
401	#529	—	3	1	no	—
402	#529	—	3	1	no	—
403	#529	—	3	1	no	—
404	#529	—	3	1	no	—
405	#529	—	3	1	no	—
406	#525	—	3	1	no	—
407	#525	—	3	1	no	—
408	#525	—	3	1	no	—
409	#525	—	3	1	no	—
410	#525	—	3	1	no	—
411	#525	—	3	1	no	—
412	C₄×#41	—	3	1	no	—
413	C₄×#41	—	3	1	no	—
414	C₄×#41	—	3	1	no	—
415	C₄×#41	—	3	1	no	—
416	C₄×#41	—	3	1	no	—
417	C₄×#41	C₂×D₃	1	1	yes	characteristic
418	C₂²×C₄²	—	3	1	no	—
419	#446	—	3	2	no	—
420	#446	—	3	2	no	—
421	#446	—	3	2	no	—
422	#446	—	3	2	no	—
423	#446	—	3	2	no	—
424	#446	C₂×D₃	1	2	yes	complemented
425	C₈×Q₈	—	3	2	no	—
426	C₈×Q₈	—	3	2	no	—
427	#436	—	3	2	no	—
428	#436	—	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	C₈×D₄	—	3	2	no	—
446	C₈×D₄	—	3	2	no	—
447	C₈×D₄	—	3	2	no	—
448	C₈×D₄	—	3	2	no	—
449	C₈×D₄	—	3	2	no	—
450	C₈×D₄	C₂×D₃	1	2	yes	—
451	#433	—	3	2	no	—
452	#433	—	3	2	no	—
453	#433	—	3	2	no	—
454	#433	—	3	2	no	—
455	#432	—	3	1	no	—
456	#432	—	3	1	no	—
457	#432	—	3	1	no	—
458	#432	—	3	1	no	—
459	#432	—	3	2	no	—
460	#432	C₂×D₃	1	1	yes	characteristic
461	#432	C₂×D₃	1	1	yes	characteristic, complemented
462	#431	—	3	1	no	—
463	#431	—	3	1	no	—
464	#431	—	3	1	no	—
465	#431	—	3	1	no	—
466	#431	—	3	1	no	—
467	#431	—	3	2	no	—
468	#431	C₂×D₃	1	1	yes	characteristic, complemented
469	#424	—	3	2	no	—
470	#424	—	3	2	no	—
471	#424	—	3	2	no	—
472	#424	—	3	2	no	—
473	#424	—	3	2	no	—
474	#424	—	3	2	no	—
475	#423	—	3	1	no	—
476	#423	—	3	1	no	—
477	#423	—	3	1	no	—
478	#423	—	3	1	no	—
479	#423	—	3	1	no	—
480	#423	C₂×D₃	1	1	yes	characteristic, complemented
481	C₂×C₄⋊C₈	—	3	2	no	—
482	C₂×C₄⋊C₈	—	3	1	no	—
483	C₂×C₄⋊C₈	—	3	1	no	—
484	C₂×C₄⋊C₈	—	3	1	no	—
485	C₂×C₄⋊C₈	—	3	1	no	—
486	C₂×C₄⋊C₈	—	3	2	no	—
487	C₂×C₄⋊C₈	—	3	1	no	—
488	C₂×C₄⋊C₈	—	3	1	no	—
489	C₂×C₄⋊C₈	—	3	2	no	—
490	C₂×C₄⋊C₈	—	3	1	no	—
491	C₂×C₄⋊C₈	—	3	1	no	—
492	C₂×C₄⋊C₈	C₂×D₃	1	1	yes	characteristic
493	C₂×C₄⋊C₈	C₂×D₃	1	1	yes	characteristic, complemented
494	#408	—	3	2	no	—
495	#408	—	3	2	no	—
496	#407	—	3	2	no	—
497	#405	—	3	2	no	—
498	#405	—	3	2	no	—
499	C₄×M₁₆	—	3	2	no	—
500	C₂³×D₃	C₂²×C₄	1	1	yes	characteristic
501	C₃×#41	—	4	2	no	—
502	C₂×C₃×Q₈	C₂²×C₄	1	1	yes	characteristic
503	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
504	C₂×C₃×D₄	C₂²×C₄	1	1	yes	characteristic
505	C₂×C₃×D₄	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	C₂²×C₄	1	1	yes	characteristic
510	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
511	C₂²×C₃×C₄	C₂²×C₄	1	1	yes	characteristic
512	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
513	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
514	C₂²×C₃×C₄	C₂⁴	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	C₂×#67	C₂²×C₄	1	1	yes	characteristic
523	C₂×#67	C₂²×C₄	1	1	yes	characteristic
524	C₂×#67	C₂²×C₄	1	1	yes	characteristic
525	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
526	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
527	C₂²×Dic₃	C₂²×C₄	1	1	yes	characteristic
528	#235	—	2	4	no	—
529	#235	—	2	4	no	—
530	#235	—	2	2	no	—
531	#235	—	2	2	no	—
532	#235	—	2	2	no	—
533	#235	—	2	2	no	—
534	#235	—	4	2	no	—
535	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
536	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
537	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
538	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
539	C₂×D₁₂	C₂²×C₄	1	1	yes	characteristic
540	C₂×C₄×D₃	—	2	4	no	—
541	C₂×C₄×D₃	—	2	2	no	—
542	C₂×C₄×D₃	—	2	2	no	—
543	C₂×C₄×D₃	—	4	2	no	—
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	C₂²×C₄	1	1	yes	characteristic
556	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
557	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
558	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
559	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
560	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
561	C₂×C₄×D₃	C₂⁴	1	1	yes	characteristic
562	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
563	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
564	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
565	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
566	C₂×Dic₆	C₂²×C₄	1	1	yes	characteristic
567	C₃×M₁₆	—	4	2	no	—
568	C₂×C₃×C₈	—	4	2	no	—
569	C₂×C₃×C₈	—	4	2	no	—
570	C₂×C₃×C₈	C₂⁴	1	2	yes	—
571	C₂×C₃×C₈	C₂⁴	1	2	yes	—
572	C₂×C₃×C₈	C₂⁴	1	2	yes	—
573	C₂×C₃×C₈	C₂⁴	1	2	yes	—
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×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
578	C₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
579	C₃×C₄⋊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×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
584	C₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
585	C₃×C₂²⋊C₄	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	C₂²×C₄	1	1	yes	characteristic
590	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
591	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
592	C₃×C₄²	C₂⁴	1	1	yes	characteristic
593	C₃×C₄²	C₂⁴	1	1	yes	characteristic
594	C₃×C₄²	C₂⁴	1	1	yes	characteristic
595	C₃×C₄²	C₂⁴	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	#217	C₂²×C₄	1	1	yes	characteristic
604	#217	C₂²×C₄	1	1	yes	characteristic
605	#217	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	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
624	(C₂×D₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
625	(C₂×D₃)⋊C₄	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	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
634	C₄⋊Dic₃	C₂²×C₄	1	1	yes	characteristic
635	C₄⋊Dic₃	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	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
654	Dic₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
655	Dic₃⋊C₄	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	C₂²×C₄	1	1	yes	characteristic
668	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
669	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
670	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
671	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
672	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
673	C₄×Dic₃	C₂⁴	1	1	yes	characteristic
674	#208	—	4	2	no	—
675	C₂×C₃⋊C₈	—	4	2	no	—
676	C₂×C₃⋊C₈	—	4	2	no	—
677	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
678	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
679	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
680	C₂×C₃⋊C₈	C₂⁴	1	2	yes	—
681	ΓL(1,𝔽₂₅)	—	2	4	no	—
682	ΓL(1,𝔽₂₅)	—	2	4	no	—
683	ΓL(1,𝔽₂₅)	—	4	2	no	—
684	ΓL(1,𝔽₂₅)	—	4	2	no	—
685	D₃×C₈	—	2	4	no	—
686	D₃×C₈	—	2	4	no	—
687	D₃×C₈	—	4	2	no	—
688	D₃×C₈	—	4	2	no	—
689	D₃×C₈	—	4	2	no	—
690	D₃×C₈	—	4	2	no	—
691	C₂×#41	—	3	1	no	—
692	C₂×#41	—	3	1	no	—
693	C₂×#41	—	3	1	no	—
694	C₂×#41	—	3	1	no	—
695	C₂×#41	—	3	1	no	—
696	C₂×#41	C₄×D₃	1	1	yes	characteristic
697	C₂³×C₄	—	3	1	no	—
698	C₂³×C₄	—	3	1	no	—
699	C₂³×C₄	—	3	1	no	—
700	#131	—	12	4	no	—
701	#131	—	12	4	no	—
702	C₂×M₁₆	—	3	2	no	—
703	C₂×M₁₆	—	3	2	no	—
704	C₂×M₁₆	—	3	2	no	—
705	C₂×M₁₆	—	3	2	no	—
706	C₂×M₁₆	—	3	2	no	—
707	C₂×M₁₆	C₂²×D₃	1	2	yes	—
708	C₂²×C₈	—	3	2	no	—
709	C₂²×C₈	—	3	2	no	—
710	C₂²×C₈	—	3	2	no	—
711	C₂²×C₈	—	3	2	no	—
712	C₂²×C₈	—	3	2	no	—
713	C₂²×C₈	—	3	2	no	—
714	C₂²×C₈	—	3	2	no	—
715	C₂²×C₈	—	3	2	no	—
716	C₂²×C₈	—	12	4	no	—
717	C₂²×C₈	C₂²×D₃	1	2	yes	—
718	C₂²×C₈	C₂²×D₃	1	2	yes	—
719	C₄⋊Q₈	—	3	1	no	—
720	C₄⋊Q₈	—	3	1	no	—
721	C₄⋊Q₈	—	3	1	no	—
722	#127	—	3	1	no	—
723	#126	—	3	1	no	—
724	#126	—	3	1	no	—
725	#126	—	3	1	no	—
726	#126	—	3	1	no	—
727	#126	—	3	1	no	—
728	#126	—	3	1	no	—
729	#126	—	3	1	no	—
730	#126	—	3	1	no	—
731	#125	—	3	1	no	—
732	#125	—	3	1	no	—
733	#125	—	3	1	no	—
734	#125	—	3	1	no	—
735	#125	—	3	1	no	—
736	#125	—	3	1	no	—
737	#124	—	3	1	no	—
738	#124	—	3	1	no	—
739	#124	—	3	1	no	—
740	#124	—	3	1	no	—
741	#124	—	3	1	no	—
742	#124	—	3	1	no	—
743	#123	—	3	1	no	—
744	#123	—	3	1	no	—
745	#123	—	3	1	no	—
746	#123	—	3	1	no	—
747	#123	—	3	1	no	—
748	#123	—	3	1	no	—
749	#123	—	3	1	no	—
750	#123	—	3	1	no	—
751	#123	—	3	1	no	—
752	#123	—	3	1	no	—
753	#123	—	3	1	no	—
754	#123	—	3	1	no	—
755	C₂²⋊Q₈	—	3	1	no	—
756	C₂²⋊Q₈	—	3	1	no	—
757	C₂²⋊Q₈	—	3	1	no	—
758	C₂²⋊Q₈	—	3	1	no	—
759	C₂²⋊Q₈	—	3	1	no	—
760	C₂²⋊Q₈	—	3	1	no	—
761	C₂²⋊Q₈	—	3	1	no	—
762	C₂²⋊Q₈	—	3	1	no	—
763	C₂²⋊Q₈	—	3	1	no	—
764	C₂²⋊Q₈	—	3	1	no	—
765	C₂²⋊Q₈	—	3	1	no	—
766	C₂²⋊Q₈	—	3	1	no	—
767	#121	—	3	1	no	—
768	#121	—	3	1	no	—
769	#121	—	3	1	no	—
770	#121	—	3	1	no	—
771	#121	—	3	1	no	—
772	#121	—	3	1	no	—
773	#121	—	3	1	no	—
774	#121	—	3	1	no	—
775	#121	—	3	1	no	—
776	#121	—	3	1	no	—
777	#121	—	3	1	no	—
778	#121	—	3	1	no	—
779	#120	—	3	1	no	—
780	#120	—	3	1	no	—
781	#120	—	3	1	no	—
782	#120	—	3	1	no	—
783	C₄×Q₈	—	3	1	no	—
784	C₄×Q₈	—	3	1	no	—
785	C₄×Q₈	—	3	1	no	—
786	C₄×Q₈	—	3	1	no	—
787	C₄×Q₈	—	3	1	no	—
788	C₄×Q₈	—	3	1	no	—
789	C₄×Q₈	—	3	1	no	—
790	C₄×Q₈	—	3	1	no	—
791	C₄×Q₈	—	3	1	no	—
792	C₄×Q₈	—	3	1	no	—
793	C₄×Q₈	C₄×D₃	1	1	yes	characteristic
794	C₄×Q₈	C₂²×D₃	1	1	yes	characteristic
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	—	3	1	no	—
812	C₄×D₄	—	3	1	no	—
813	C₄×D₄	—	3	1	no	—
814	C₄×D₄	—	3	1	no	—
815	C₄×D₄	—	3	1	no	—
816	C₄×D₄	—	3	1	no	—
817	C₄×D₄	—	3	1	no	—
818	C₄×D₄	—	3	1	no	—
819	C₄×D₄	—	3	1	no	—
820	C₄×D₄	—	3	1	no	—
821	C₄×D₄	—	3	1	no	—
822	C₄×D₄	—	3	1	no	—
823	C₄×D₄	—	3	1	no	—
824	C₄×D₄	—	3	1	no	—
825	C₄×D₄	C₄×D₃	1	1	yes	characteristic
826	C₄×D₄	C₄×D₃	1	1	yes	characteristic
827	C₄×D₄	C₄×D₃	1	1	yes	characteristic
828	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
829	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
830	C₄×D₄	C₂²×D₃	1	1	yes	characteristic
831	#117	—	3	1	no	—
832	#117	—	3	1	no	—
833	#117	—	3	1	no	—
834	#117	—	3	1	no	—
835	#117	—	3	1	no	—
836	#117	—	3	1	no	—
837	#117	—	3	1	no	—
838	#117	—	3	1	no	—
839	#117	—	3	1	no	—
840	#117	—	3	1	no	—
841	#117	—	3	1	no	—
842	#117	—	3	1	no	—
843	#117	—	3	1	no	—
844	#117	—	3	1	no	—
845	#117	—	3	1	no	—
846	#117	C₄×D₃	1	1	yes	characteristic
847	#117	C₄×D₃	1	1	yes	characteristic
848	#117	C₄×D₃	1	1	yes	characteristic
849	C₂×C₄²	—	3	1	no	—
850	C₂×C₄²	—	3	1	no	—
851	C₂×C₄²	—	3	1	no	—
852	C₂×C₄²	—	3	1	no	—
853	C₂×C₄²	—	3	1	no	—
854	C₂×C₄²	—	3	1	no	—
855	C₂×C₄²	—	3	1	no	—
856	C₂×C₄²	—	3	1	no	—
857	C₂×C₄²	—	3	1	no	—
858	C₂×C₄²	—	3	1	no	—
859	C₂×C₄²	—	3	1	no	—
860	C₂×C₄²	—	3	1	no	—
861	C₂×C₄²	—	3	1	no	—
862	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
863	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
864	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
865	C₄⋊C₈	—	3	2	no	—
866	C₄⋊C₈	—	3	2	no	—
867	C₄⋊C₈	—	3	2	no	—
868	C₄⋊C₈	—	3	2	no	—
869	C₄⋊C₈	—	3	2	no	—
870	C₄⋊C₈	—	3	2	no	—
871	C₄⋊C₈	—	3	2	no	—
872	C₄⋊C₈	—	3	2	no	—
873	C₄⋊C₈	—	3	2	no	—
874	C₄⋊C₈	—	3	2	no	—
875	C₄⋊C₈	—	3	1	no	—
876	C₄⋊C₈	—	3	1	no	—
877	C₄⋊C₈	—	3	2	no	—
878	C₄⋊C₈	—	3	1	no	—
879	C₄⋊C₈	—	3	2	no	—
880	C₄⋊C₈	—	3	2	no	—
881	C₄⋊C₈	—	3	1	no	—
882	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
883	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
884	C₄⋊C₈	C₂²×D₃	1	2	yes	—
885	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
886	C₄⋊C₈	C₂²×D₃	1	2	yes	—
887	C₄⋊C₈	C₂²×D₃	1	1	yes	characteristic
888	C₄⋊C₈	C₂²×D₃	1	2	yes	—
889	C₂²⋊C₈	—	3	2	no	—
890	C₂²⋊C₈	—	3	2	no	—
891	C₂²⋊C₈	—	3	2	no	—
892	C₂²⋊C₈	—	3	2	no	—
893	C₂²⋊C₈	—	3	2	no	—
894	C₂²⋊C₈	—	3	2	no	—
895	C₂²⋊C₈	—	3	2	no	—
896	C₂²⋊C₈	—	3	2	no	—
897	C₂²⋊C₈	—	3	2	no	—
898	C₂²⋊C₈	C₂²×D₃	1	2	yes	—
899	C₂²⋊C₈	C₂²×D₃	1	2	yes	—
900	C₂²⋊C₈	C₂²×D₃	1	2	yes	—
901	#97	—	3	2	no	—
902	#97	—	3	2	no	—
903	#97	—	3	2	no	—
904	#97	—	3	2	no	—
905	#97	C₂²×D₃	1	2	yes	—
906	#97	C₂²×D₃	1	2	yes	—
907	C₄×C₈	—	3	2	no	—
908	C₄×C₈	—	3	2	no	—
909	C₄×C₈	—	3	2	no	—
910	C₄×C₈	—	3	2	no	—
911	C₄×C₈	—	3	2	no	—
912	C₄×C₈	C₂²×D₃	1	2	yes	—
913	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
914	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
915	C₂³×C₃	C₂³×C₄	1	1	yes	characteristic
916	C₂²×D₃	—	2	2	no	—
917	C₂²×D₃	—	2	2	no	—
918	C₂²×D₃	—	2	2	no	—
919	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
920	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
921	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
922	C₂²×D₃	C₂³×C₄	1	1	yes	characteristic
923	C₃×Q₈	—	4	1	no	—
924	C₃×D₄	—	2	2	no	—
925	C₃×D₄	—	2	2	no	—
926	C₃×D₄	—	4	1	no	—
927	C₂×C₃×C₄	—	2	2	no	—
928	C₂×C₃×C₄	—	2	2	no	—
929	C₂×C₃×C₄	—	2	2	no	—
930	C₂×C₃×C₄	—	2	2	no	—
931	C₂×C₃×C₄	—	2	1	no	—
932	C₂×C₃×C₄	—	2	1	no	—
933	C₂×C₃×C₄	—	2	1	no	—
934	C₂×C₃×C₄	—	2	1	no	—
935	C₂×C₃×C₄	—	2	1	no	—
936	C₂×C₃×C₄	—	2	1	no	—
937	C₂×C₃×C₄	—	4	1	no	—
938	C₂×C₃×C₄	—	4	1	no	—
939	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
940	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
941	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
942	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
943	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
944	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
945	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
946	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
947	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
948	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
949	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
950	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
951	#67	—	2	2	no	—
952	#67	—	2	2	no	—
953	#67	—	2	2	no	—
954	#67	—	2	2	no	—
955	#67	—	2	2	no	—
956	#67	—	2	2	no	—
957	#67	—	2	2	no	—
958	#67	—	2	2	no	—
959	#67	—	2	2	no	—
960	#67	—	2	2	no	—
961	C₂×Dic₃	—	2	2	no	—
962	C₂×Dic₃	—	2	2	no	—
963	C₂×Dic₃	—	2	2	no	—
964	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
965	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
966	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
967	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
968	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
969	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
970	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
971	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
972	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
973	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
974	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
975	C₂×Dic₃	C₂³×C₄	1	1	yes	characteristic
976	D₁₂	—	2	2	no	—
977	D₁₂	—	2	2	no	—
978	D₁₂	—	2	2	no	—
979	D₁₂	—	2	2	no	—
980	D₁₂	—	4	1	no	—
981	C₄×D₃	—	2	2	no	—
982	C₄×D₃	—	2	2	no	—
983	C₄×D₃	—	2	2	no	—
984	C₄×D₃	—	2	2	no	—
985	C₄×D₃	—	2	2	no	—
986	C₄×D₃	—	2	1	no	—
987	C₄×D₃	—	2	1	no	—
988	C₄×D₃	—	2	1	no	—
989	C₄×D₃	—	2	1	no	—
990	C₄×D₃	—	2	1	no	—
991	C₄×D₃	—	2	1	no	—
992	C₄×D₃	—	2	2	no	—
993	C₄×D₃	—	2	2	no	—
994	C₄×D₃	—	4	1	no	—
995	C₄×D₃	—	4	1	no	—
996	C₄×D₃	—	4	1	no	—
997	C₄×D₃	—	4	1	no	—
998	C₄×D₃	—	4	1	no	—
999	C₄×D₃	—	4	1	no	—
1000	C₄×D₃	#131	1	4	yes	complemented
1001	C₄×D₃	H(5,𝔽₂)	1	2	yes	—
1002	C₄×D₃	2₋¹⁺⁴	1	2	yes	—
1003	Dic₆	—	2	2	no	—
1004	Dic₆	—	2	2	no	—
1005	Dic₆	—	2	2	no	—
1006	Dic₆	—	2	2	no	—
1007	Dic₆	—	4	1	no	—
1008	C₃×C₈	—	2	2	no	—
1009	C₃×C₈	—	2	2	no	—
1010	C₃×C₈	—	2	2	no	—
1011	C₃×C₈	—	2	2	no	—
1012	C₃⋊C₈	—	2	2	no	—
1013	C₃⋊C₈	—	2	2	no	—
1014	C₃⋊C₈	—	2	2	no	—
1015	C₃⋊C₈	—	2	2	no	—
1016	C₂⁴	—	3	1	no	—
1017	#41	—	4	2	no	—
1018	#41	—	6	2	no	—
1019	#41	—	6	2	no	—
1020	#41	—	6	2	no	—
1021	#41	—	6	2	no	—
1022	#41	—	6	4	no	—
1023	#41	—	6	4	no	—
1024	#41	—	12	2	no	—
1025	C₂×Q₈	—	3	1	no	—
1026	C₂×Q₈	—	3	1	no	—
1027	C₂×Q₈	—	3	1	no	—
1028	C₂×Q₈	—	3	1	no	—
1029	C₂×Q₈	—	3	1	no	—
1030	C₂×Q₈	C₂×C₄×D₃	1	1	yes	characteristic
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	—	3	1	no	—
1037	C₂×D₄	—	3	1	no	—
1038	C₂×D₄	—	3	1	no	—
1039	C₂×D₄	—	3	1	no	—
1040	C₂×D₄	—	3	1	no	—
1041	C₂×D₄	—	3	1	no	—
1042	C₂×D₄	—	3	1	no	—
1043	C₂×D₄	—	3	1	no	—
1044	C₂×D₄	—	3	1	no	—
1045	C₂×D₄	—	3	1	no	—
1046	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1047	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
1048	C₂×D₄	C₂×C₄×D₃	1	1	yes	characteristic
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	—	3	1	no	—
1061	C₂²×C₄	—	3	1	no	—
1062	C₂²×C₄	—	3	1	no	—
1063	C₂²×C₄	—	3	1	no	—
1064	C₂²×C₄	—	3	1	no	—
1065	C₂²×C₄	—	3	1	no	—
1066	C₂²×C₄	—	3	1	no	—
1067	C₂²×C₄	—	3	1	no	—
1068	C₂²×C₄	—	3	1	no	—
1069	C₂²×C₄	—	3	1	no	—
1070	C₂²×C₄	—	6	2	no	—
1071	C₂²×C₄	—	6	2	no	—
1072	C₂²×C₄	—	6	4	no	—
1073	C₂²×C₄	—	12	2	no	—
1074	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1075	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1076	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1077	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1078	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1079	C₂²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
1080	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1081	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1082	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1083	M₁₆	—	4	2	no	—
1084	M₁₆	—	6	4	no	—
1085	M₁₆	—	6	4	no	—
1086	M₁₆	—	12	2	no	—
1087	M₁₆	—	12	2	no	—
1088	M₁₆	—	12	2	no	—
1089	C₂×C₈	—	3	2	no	—
1090	C₂×C₈	—	3	2	no	—
1091	C₂×C₈	—	3	2	no	—
1092	C₂×C₈	—	3	2	no	—
1093	C₂×C₈	—	4	2	no	—
1094	C₂×C₈	—	4	2	no	—
1095	C₂×C₈	—	6	4	no	—
1096	C₂×C₈	—	6	4	no	—
1097	C₂×C₈	—	12	2	no	—
1098	C₂×C₈	—	12	2	no	—
1099	C₂×C₈	—	12	2	no	—
1100	C₂×C₈	—	12	2	no	—
1101	C₂×C₈	—	12	2	no	—
1102	C₂×C₈	—	12	2	no	—
1103	C₂×C₈	C₂³×D₃	1	2	yes	—
1104	C₂×C₈	C₂³×D₃	1	2	yes	—
1105	C₂×C₈	C₂³×D₃	1	2	yes	—
1106	C₂×C₈	C₂³×D₃	1	2	yes	—
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	—	3	1	no	—
1124	C₄⋊C₄	—	3	1	no	—
1125	C₄⋊C₄	—	3	1	no	—
1126	C₄⋊C₄	—	3	1	no	—
1127	C₄⋊C₄	—	3	1	no	—
1128	C₄⋊C₄	—	3	1	no	—
1129	C₄⋊C₄	—	3	1	no	—
1130	C₄⋊C₄	—	3	1	no	—
1131	C₄⋊C₄	—	3	1	no	—
1132	C₄⋊C₄	—	3	1	no	—
1133	C₄⋊C₄	—	3	1	no	—
1134	C₄⋊C₄	—	3	1	no	—
1135	C₄⋊C₄	—	3	1	no	—
1136	C₄⋊C₄	—	3	1	no	—
1137	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1138	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1139	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1140	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1141	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1142	C₄⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
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	—	3	1	no	—
1160	C₂²⋊C₄	—	3	1	no	—
1161	C₂²⋊C₄	—	3	1	no	—
1162	C₂²⋊C₄	—	3	1	no	—
1163	C₂²⋊C₄	—	3	1	no	—
1164	C₂²⋊C₄	—	3	1	no	—
1165	C₂²⋊C₄	—	3	1	no	—
1166	C₂²⋊C₄	—	3	1	no	—
1167	C₂²⋊C₄	—	3	1	no	—
1168	C₂²⋊C₄	—	3	1	no	—
1169	C₂²⋊C₄	—	3	1	no	—
1170	C₂²⋊C₄	—	3	1	no	—
1171	C₂²⋊C₄	—	3	1	no	—
1172	C₂²⋊C₄	—	3	1	no	—
1173	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1174	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1175	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1176	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1177	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1178	C₂²⋊C₄	C₂×C₄×D₃	1	1	yes	characteristic
1179	C₄²	—	3	1	no	—
1180	C₄²	—	3	1	no	—
1181	C₄²	—	3	1	no	—
1182	C₄²	—	3	1	no	—
1183	C₄²	—	3	1	no	—
1184	C₄²	—	3	1	no	—
1185	C₄²	—	3	1	no	—
1186	C₄²	—	3	1	no	—
1187	C₄²	—	3	1	no	—
1188	C₄²	—	3	1	no	—
1189	C₄²	—	3	1	no	—
1190	C₄²	—	3	1	no	—
1191	C₄²	—	3	1	no	—
1192	C₄²	—	3	1	no	—
1193	C₄²	—	3	1	no	—
1194	C₄²	—	3	1	no	—
1195	C₄²	—	3	1	no	—
1196	C₄²	—	3	1	no	—
1197	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1198	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1199	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1200	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1201	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1202	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
1203	C₄²	C₂³×D₃	1	1	yes	characteristic
1204	C₄²	C₂³×D₃	1	1	yes	characteristic
1205	C₄²	C₂³×D₃	1	1	yes	characteristic
1206	C₄²	C₂³×D₃	1	1	yes	characteristic
1207	C₂²×C₃	—	2	1	no	—
1208	C₂²×C₃	—	2	1	no	—
1209	C₂²×C₃	—	2	1	no	—
1210	C₂²×C₃	—	2	1	no	—
1211	C₂²×C₃	—	2	1	no	—
1212	C₂²×C₃	—	2	1	no	—
1213	C₂²×C₃	—	2	1	no	—
1214	C₂²×C₃	—	2	1	no	—
1215	C₂²×C₃	#568	1	2	yes	—
1216	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1217	C₂×D₃	—	2	8	no	—
1218	C₂×D₃	—	2	1	no	—
1219	C₂×D₃	—	2	1	no	—
1220	C₂×D₃	—	2	1	no	—
1221	C₂×D₃	—	2	1	no	—
1222	C₂×D₃	—	2	1	no	—
1223	C₂×D₃	—	2	1	no	—
1224	C₂×D₃	—	2	1	no	—
1225	C₂×D₃	—	2	1	no	—
1226	C₂×D₃	—	2	1	no	—
1227	C₂×D₃	—	2	1	no	—
1228	C₂×D₃	#520	1	2	yes	—
1229	C₂×D₃	C₂×#131	1	2	yes	—
1230	C₃×C₄	—	2	1	no	—
1231	C₃×C₄	—	2	1	no	—
1232	C₃×C₄	—	2	1	no	—
1233	C₃×C₄	—	2	1	no	—
1234	C₃×C₄	—	2	1	no	—
1235	C₃×C₄	—	2	1	no	—
1236	C₃×C₄	—	2	1	no	—
1237	C₃×C₄	—	2	1	no	—
1238	C₃×C₄	—	2	1	no	—
1239	C₃×C₄	—	2	1	no	—
1240	C₃×C₄	C₂×#131	1	2	yes	—
1241	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1242	C₃×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1243	Dic₃	—	2	1	no	—
1244	Dic₃	—	2	1	no	—
1245	Dic₃	—	2	1	no	—
1246	Dic₃	—	2	1	no	—
1247	Dic₃	—	2	1	no	—
1248	Dic₃	—	2	1	no	—
1249	Dic₃	—	2	1	no	—
1250	Dic₃	—	2	1	no	—
1251	Dic₃	—	2	1	no	—
1252	Dic₃	—	2	1	no	—
1253	Dic₃	#520	1	2	yes	—
1254	Dic₃	C₂×#131	1	2	yes	—
1255	C₂³	—	3	1	no	—
1256	C₂³	—	3	1	no	—
1257	C₂³	—	3	1	no	—
1258	C₂³	—	3	1	no	—
1259	C₂³	—	6	2	no	—
1260	C₂³	—	6	2	no	—
1261	C₂³	—	6	2	no	—
1262	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1263	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1264	C₂³	C₂²×C₄×D₃	1	1	yes	characteristic
1265	Q₈	—	4	1	no	—
1266	Q₈	—	6	2	no	—
1267	Q₈	—	6	2	no	—
1268	Q₈	—	6	2	no	—
1269	Q₈	—	6	2	no	—
1270	Q₈	—	12	1	no	—
1271	D₄	—	2	2	no	—
1272	D₄	—	2	2	no	—
1273	D₄	—	4	1	no	—
1274	D₄	—	6	2	no	—
1275	D₄	—	6	2	no	—
1276	D₄	—	6	2	no	—
1277	D₄	—	6	2	no	—
1278	D₄	—	6	2	no	—
1279	D₄	—	6	2	no	—
1280	D₄	—	6	2	no	—
1281	D₄	—	6	2	no	—
1282	D₄	—	6	2	no	—
1283	D₄	—	6	2	no	—
1284	D₄	—	6	2	no	—
1285	D₄	—	6	2	no	—
1286	D₄	—	6	2	no	—
1287	D₄	—	6	2	no	—
1288	D₄	—	12	1	no	—
1289	C₂×C₄	—	2	2	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	2	no	—
1297	C₂×C₄	—	2	2	no	—
1298	C₂×C₄	—	2	2	no	—
1299	C₂×C₄	—	3	1	no	—
1300	C₂×C₄	—	3	1	no	—
1301	C₂×C₄	—	3	2	no	—
1302	C₂×C₄	—	3	2	no	—
1303	C₂×C₄	—	3	4	no	—
1304	C₂×C₄	—	3	1	no	—
1305	C₂×C₄	—	3	1	no	—
1306	C₂×C₄	—	3	1	no	—
1307	C₂×C₄	—	3	1	no	—
1308	C₂×C₄	—	3	1	no	—
1309	C₂×C₄	—	3	1	no	—
1310	C₂×C₄	—	3	1	no	—
1311	C₂×C₄	—	3	1	no	—
1312	C₂×C₄	—	3	1	no	—
1313	C₂×C₄	—	3	1	no	—
1314	C₂×C₄	—	4	1	no	—
1315	C₂×C₄	—	4	1	no	—
1316	C₂×C₄	—	6	2	no	—
1317	C₂×C₄	—	6	2	no	—
1318	C₂×C₄	—	6	2	no	—
1319	C₂×C₄	—	6	2	no	—
1320	C₂×C₄	—	6	2	no	—
1321	C₂×C₄	—	6	2	no	—
1322	C₂×C₄	—	6	2	no	—
1323	C₂×C₄	—	6	1	no	—
1324	C₂×C₄	—	6	1	no	—
1325	C₂×C₄	—	6	1	no	—
1326	C₂×C₄	—	6	1	no	—
1327	C₂×C₄	—	6	1	no	—
1328	C₂×C₄	—	6	1	no	—
1329	C₂×C₄	—	6	2	no	—
1330	C₂×C₄	—	6	2	no	—
1331	C₂×C₄	—	6	2	no	—
1332	C₂×C₄	—	12	1	no	—
1333	C₂×C₄	—	12	1	no	—
1334	C₂×C₄	—	12	1	no	—
1335	C₂×C₄	—	12	1	no	—
1336	C₂×C₄	—	12	1	no	—
1337	C₂×C₄	—	12	1	no	—
1338	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1339	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1340	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1341	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1342	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1343	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1344	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1345	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1346	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1347	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1348	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
1349	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1350	C₈	—	2	2	no	—
1351	C₈	—	2	2	no	—
1352	C₈	—	2	2	no	—
1353	C₈	—	2	2	no	—
1354	C₈	—	6	2	no	—
1355	C₈	—	6	2	no	—
1356	C₈	—	6	2	no	—
1357	C₈	—	6	2	no	—
1358	C₂×C₃	—	2	2	no	—
1359	C₂×C₃	—	4	1	no	—
1360	C₂×C₃	—	4	1	no	—
1361	C₂×C₃	C₂×#520	1	1	yes	characteristic
1362	C₂×C₃	C₂²×#131	1	1	yes	characteristic
1363	C₂×C₃	C₂×#568	1	1	yes	characteristic
1364	D₃	—	2	2	no	—
1365	D₃	—	2	2	no	—
1366	D₃	—	4	1	no	—
1367	D₃	—	4	1	no	—
1368	C₂²	—	2	1	no	—
1369	C₂²	—	2	1	no	—
1370	C₂²	—	2	1	no	—
1371	C₂²	—	2	1	no	—
1372	C₂²	—	2	1	no	—
1373	C₂²	—	2	1	no	—
1374	C₂²	—	2	1	no	—
1375	C₂²	—	2	1	no	—
1376	C₂²	—	3	2	no	—
1377	C₂²	—	3	2	no	—
1378	C₂²	—	6	8	no	—
1379	C₂²	—	6	1	no	—
1380	C₂²	—	6	1	no	—
1381	C₂²	—	6	1	no	—
1382	C₂²	—	6	1	no	—
1383	C₂²	—	6	1	no	—
1384	C₂²	—	6	1	no	—
1385	C₂²	—	6	1	no	—
1386	C₂²	—	6	1	no	—
1387	C₂²	—	6	1	no	—
1388	C₂²	—	6	1	no	—
1389	C₂²	#5745	1	2	yes	—
1390	C₂²	C₂³×C₄×D₃	1	1	yes	characteristic
1391	C₄	—	2	1	no	—
1392	C₄	—	2	1	no	—
1393	C₄	—	2	1	no	—
1394	C₄	—	2	1	no	—
1395	C₄	—	2	1	no	—
1396	C₄	—	2	1	no	—
1397	C₄	—	2	1	no	—
1398	C₄	—	2	1	no	—
1399	C₄	—	2	1	no	—
1400	C₄	—	2	1	no	—
1401	C₄	—	3	2	no	—
1402	C₄	—	3	2	no	—
1403	C₄	—	6	1	no	—
1404	C₄	—	6	1	no	—
1405	C₄	—	6	1	no	—
1406	C₄	—	6	1	no	—
1407	C₄	—	6	1	no	—
1408	C₄	—	6	1	no	—
1409	C₄	—	6	1	no	—
1410	C₄	—	6	1	no	—
1411	C₄	—	6	1	no	—
1412	C₄	—	6	1	no	—
1413	C₄	D₃×#131	1	2	yes	—
1414	C₄	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1415	C₄	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1416	C₃	#60265	1	1	yes	characteristic, complemented, Sylow
1417	C₂	—	2	2	no	—
1418	C₂	—	4	1	no	—
1419	C₂	—	4	1	no	—
1420	C₂	—	6	2	no	—
1421	C₂	—	6	2	no	—
1422	C₂	—	12	1	no	—
1423	C₂	—	12	1	no	—
1424	C₂	D₃×#520	1	1	yes	characteristic
1425	C₂	C₂×#5745	1	1	yes	characteristic
1426	C₂	C₂×D₃×#131	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₃
commutator, socle	C₂²×C₃	C₂⁴×C₄
Fitting	C₃×#2990	C₂
prime radical	#85836	C₂
cosocle	C₂×C₃×C₄	C₂⁵
hypercenter	#2990	D₃
hypocenter	C₃	#60265
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₄ ◁ #2990

Complements

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

N	H ≅ G/N	type
2. C₃×#2990	C₂	semidirect
3. #82522	C₂	semidirect
4. #79961	C₂	semidirect
5. #79946	C₂	semidirect
6. #79484	C₂	semidirect
7. #79478	C₂	semidirect
8. #79466	C₂	semidirect
9. #79464	C₂	semidirect
10. #79421	C₂	semidirect
11. #79409	C₂	semidirect
12. #79340	C₂	semidirect
13. #79339	C₂	semidirect
14. #79334	C₂	semidirect
15. #79331	C₂	semidirect
16. #79291	C₂	semidirect
17. #79285	C₂	semidirect
18. #79050	C₂	semidirect
19. #79049	C₂	semidirect
20. #79015	C₂	semidirect
21. #79013	C₂	semidirect
22. #79012	C₂	semidirect
23. C₂×D₃×C₄⋊C₈	C₂	semidirect
59. C₃×#446	C₂²	semidirect
61. C₃×#435	C₂²	semidirect
64. C₃×#432	C₂²	semidirect
65. C₃×#431	C₂²	semidirect
66. C₃×#423	C₂²	semidirect
68. C₂×C₃×C₄⋊C₈	C₂²	semidirect
69. #5128	C₂²	semidirect
71. #5119	C₂²	semidirect
75. C₈×#67	C₂²	semidirect
76. #5102	C₂²	semidirect
78. #5024	C₂²	semidirect
80. #5011	C₂²	semidirect
83. #4926	C₂²	semidirect
84. #4925	C₂²	semidirect
85. #4924	C₂²	semidirect
87. C₂×C₄⋊(C₃⋊C₈)	C₂²	semidirect
90. #4839	C₂²	semidirect
91. #4839	C₂²	semidirect
94. #4837	C₂²	semidirect
95. #4837	C₂²	semidirect
97. #4836	C₂²	semidirect
98. #4835	C₂²	semidirect
99. #4835	C₂²	semidirect
103. #4833	C₂²	semidirect
104. #4833	C₂²	semidirect
111. D₃×C₄⋊C₈	C₂²	semidirect
112. D₃×C₄⋊C₈	C₂²	semidirect
113. #4830	C₂²	semidirect
114. #4828	C₂²	semidirect
115. #4828	C₂²	semidirect
117. #4729	C₂²	semidirect
124. #67⋊C₈	C₂²	semidirect
125. #4720	C₂²	semidirect
126. #4720	C₂²	semidirect
128. #4709	C₂²	semidirect
132. #4706	C₂²	semidirect
134. #4701	C₂²	semidirect
135. #4701	C₂²	semidirect
136. #4690	C₂²	semidirect
139. C₈×Dic₆	C₂²	semidirect
148. #2990	D₃	semidirect
424. #446	C₂×D₃	semidirect
440. #435	C₂×D₃	semidirect
461. #432	C₂×D₃	semidirect
468. #431	C₂×D₃	semidirect
480. #423	C₂×D₃	semidirect
493. C₂×C₄⋊C₈	C₂×D₃	semidirect
1000. C₄×D₃	#131	semidirect
1416. C₃	#60265	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×#2990	2
#82522	2
#79961	2
#79946	2
#79484	2
#79478	2
#79466	2
#79464	2
#79421	2
#79409	2
#79340	2
#79339	2
#79334	2
#79331	2
#79291	2
#79285	2
#79050	2
#79049	2
#79015	2
#79013	2
#79012	2
C₂×D₃×C₄⋊C₈	2
#60265	3