Subgroups — #11704209

Order 768.

7474 conjugacy classes of subgroups.

The subgroup lattice has 1376 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3491	C₂	1	1	yes	maximal, characteristic, complemented
2	#86862	C₂	1	8	yes	maximal, complemented
3	#86859	C₂	1	8	yes	maximal, complemented
4	#86817	C₂	1	8	yes	maximal, complemented
5	#86815	C₂	1	8	yes	maximal, complemented
6	#86579	C₂	1	1	yes	maximal, characteristic, complemented
7	D₃×#543	C₂	1	1	yes	maximal, characteristic, complemented
8	#86454	C₂	1	4	yes	maximal, complemented
9	#86428	C₂	1	4	yes	maximal, complemented
10	#86309	C₂	1	1	yes	maximal, characteristic, complemented
11	D₃×#534	C₂	1	1	yes	maximal, characteristic, complemented
12	#86158	C₂	1	4	yes	maximal, complemented
13	#86147	C₂	1	4	yes	maximal, complemented
14	C₂×#5653	C₂	1	2	yes	maximal, complemented
15	#86001	C₂	1	2	yes	maximal, complemented
16	#85868	C₂	1	2	yes	maximal, complemented
17	D₃×#518	C₂	1	2	yes	maximal, complemented
18	#85745	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#5521	C₂	1	1	yes	maximal, characteristic, complemented
20	#62844	—	3	1	no	maximal, Sylow
21	C₂²×D₃×D₄	C₂²	1	2	yes	—
22	C₂³×D₁₂	C₂²	1	1	yes	characteristic
23	C₃×#552	C₂²	1	8	yes	complemented
24	C₃×#551	C₂²	1	8	yes	complemented
25	C₃×#543	C₂²	1	1	yes	characteristic, complemented
26	C₃×#539	C₂²	1	4	yes	complemented
27	C₃×#534	C₂²	1	1	yes	characteristic
28	C₃×#529	C₂²	1	4	yes	complemented
29	C₂×C₃×#123	C₂²	1	2	yes	complemented
30	C₃×#518	C₂²	1	2	yes	complemented
31	C₂×C₃×#117	C₂²	1	1	yes	characteristic, complemented
32	#5804	C₂²	1	2	yes	—
33	C₂×#937	C₂²	1	2	yes	complemented
34	#5798	C₂²	1	2	yes	complemented
35	C₂×#929	C₂²	1	2	yes	complemented
36	C₂×#926	C₂²	1	1	yes	characteristic, complemented
37	#5709	C₂²	1	8	yes	complemented
38	#5709	C₂²	1	8	yes	complemented
39	#5707	C₂²	1	8	yes	complemented
40	#5706	C₂²	1	8	yes	complemented
41	#5705	C₂²	1	8	yes	complemented
42	#5705	C₂²	1	8	yes	complemented
43	#5704	C₂²	1	8	yes	complemented
44	#5704	C₂²	1	8	yes	complemented
45	#5695	C₂²	1	4	yes	complemented
46	#5695	C₂²	1	8	yes	complemented
47	#5694	C₂²	1	4	yes	complemented
48	#5693	C₂²	1	8	yes	complemented
49	#5692	C₂²	1	8	yes	complemented
50	#5692	C₂²	1	8	yes	complemented
51	#5691	C₂²	1	8	yes	complemented
52	#5678	C₂²	1	8	yes	complemented
53	#5677	C₂²	1	4	yes	complemented
54	#5676	C₂²	1	4	yes	complemented
55	#5665	C₂²	1	8	yes	complemented
56	#5661	C₂²	1	8	yes	complemented
57	#5658	C₂²	1	8	yes	complemented
58	#5658	C₂²	1	8	yes	complemented
59	#5657	C₂²	1	8	yes	complemented
60	#5656	C₂²	1	8	yes	complemented
61	#5654	C₂²	1	8	yes	complemented
62	#5653	C₂²	1	8	yes	—
63	#5653	C₂²	1	4	yes	complemented
64	#5653	C₂²	1	4	yes	complemented
65	#5653	C₂²	1	8	yes	complemented
66	#5653	C₂²	1	4	yes	complemented
67	#5653	C₂²	1	4	yes	complemented
68	#5653	C₂²	1	4	yes	complemented
69	D₃×#123	C₂²	1	4	yes	complemented
70	#5650	C₂²	1	8	yes	complemented
71	#5649	C₂²	1	8	yes	complemented
72	#5644	C₂²	1	4	yes	complemented
73	#5638	C₂²	1	8	yes	complemented
74	#5637	C₂²	1	8	yes	complemented
75	#5637	C₂²	1	8	yes	complemented
76	#5634	C₂²	1	8	yes	complemented
77	#5634	C₂²	1	4	yes	complemented
78	#5633	C₂²	1	8	yes	complemented
79	#5630	C₂²	1	8	yes	complemented
80	#5627	C₂²	1	8	yes	complemented
81	#5627	C₂²	1	4	yes	complemented
82	D₃×C₂²⋊Q₈	C₂²	1	8	yes	complemented
83	D₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
84	#5617	C₂²	1	4	yes	complemented
85	#5606	C₂²	1	4	yes	complemented
86	#5605	C₂²	1	4	yes	complemented
87	D₃×#121	C₂²	1	4	yes	complemented
88	#5591	C₂²	1	8	yes	complemented
89	#5589	C₂²	1	4	yes	complemented
90	D₃×#120	C₂²	1	4	yes	complemented
91	#5581	C₂²	1	4	yes	complemented
92	#5580	C₂²	1	8	yes	complemented
93	#5576	C₂²	1	4	yes	complemented
94	#5560	C₂²	1	8	yes	complemented
95	#5558	C₂²	1	4	yes	complemented
96	#5556	C₂²	1	8	yes	complemented
97	#5554	C₂²	1	4	yes	complemented
98	#5550	C₂²	1	8	yes	complemented
99	#5547	C₂²	1	8	yes	complemented
100	#5547	C₂²	1	8	yes	complemented
101	#5545	C₂²	1	8	yes	complemented
102	#5545	C₂²	1	8	yes	complemented
103	C₄×D₃×D₄	C₂²	1	8	yes	complemented
104	C₄×D₃×D₄	C₂²	1	8	yes	complemented
105	#5531	C₂²	1	8	yes	complemented
106	#5530	C₂²	1	8	yes	complemented
107	#5528	C₂²	1	8	yes	complemented
108	#5527	C₂²	1	8	yes	complemented
109	#5527	C₂²	1	8	yes	complemented
110	#5527	C₂²	1	8	yes	complemented
111	#5524	C₂²	1	8	yes	complemented
112	#5521	C₂²	1	8	yes	complemented
113	#5521	C₂²	1	8	yes	complemented
114	#5521	C₂²	1	4	yes	complemented
115	D₃×#117	C₂²	1	4	yes	complemented
116	#5515	C₂²	1	4	yes	complemented
117	#5513	C₂²	1	8	yes	complemented
118	C₂×#895	C₂²	1	4	yes	complemented
119	C₂×#894	C₂²	1	4	yes	complemented
120	C₂×#893	C₂²	1	2	yes	complemented
121	C₂×#893	C₂²	1	2	yes	complemented
122	#5495	C₂²	1	8	yes	complemented
123	#5493	C₂²	1	1	yes	characteristic
124	#5490	C₂²	1	8	yes	complemented
125	C₂×#884	C₂²	1	4	yes	complemented
126	C₂×#882	C₂²	1	4	yes	complemented
127	C₂×#882	C₂²	1	2	yes	complemented
128	#5486	C₂²	1	4	yes	complemented
129	#5486	C₂²	1	2	yes	complemented
130	#5486	C₂²	1	2	yes	complemented
131	C₂×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
132	C₂×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
133	C₂×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
134	C₂×D₃×C₂²⋊C₄	C₂²	1	4	yes	complemented
135	C₂×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
136	C₂×D₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
137	#5483	C₂²	1	1	yes	characteristic, complemented
138	#5483	C₂²	1	2	yes	complemented
139	#5479	C₂²	1	4	yes	complemented
140	C₂×C₄×D₁₂	C₂²	1	2	yes	complemented
141	C₂×C₄×D₁₂	C₂²	1	2	yes	complemented
142	#3505	—	3	8	no	—
143	#3505	—	3	8	no	—
144	#3505	—	3	4	no	—
145	#3505	—	3	4	no	—
146	#3491	—	3	8	no	—
147	#3491	—	3	2	no	—
148	#3491	—	3	1	no	—
149	#3491	D₃	1	1	yes	characteristic, complemented
150	#3490	—	3	8	no	—
151	#3490	—	3	1	no	—
152	#3490	—	3	1	no	—
153	#3490	—	3	2	no	—
154	#3459	—	3	4	no	—
155	#3459	—	3	4	no	—
156	C₂×#543	—	3	1	no	—
157	C₂×#534	—	3	1	no	—
158	C₂×#534	—	3	2	no	—
159	C₂×#518	—	3	2	no	—
160	C₂×#518	—	3	1	no	—
161	C₂⁴×D₃	C₂³	1	1	yes	characteristic
162	C₂⁴×D₃	C₂³	1	2	yes	—
163	C₂⁴×D₃	C₂³	1	1	yes	characteristic
164	C₂²×C₃×D₄	C₂³	1	2	yes	—
165	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
166	C₂²×#67	C₂³	1	2	yes	—
167	C₂²×#67	C₂³	1	2	yes	—
168	C₂²×#67	C₂³	1	4	yes	complemented
169	C₂×#239	C₂³	1	4	yes	complemented
170	C₂×D₃×Q₈	C₂³	1	4	yes	complemented
171	C₂×#237	C₂³	1	4	yes	complemented
172	C₂×D₃×D₄	—	2	16	no	—
173	C₂×D₃×D₄	C₂³	1	4	yes	—
174	C₂×D₃×D₄	C₂³	1	4	yes	—
175	C₂×D₃×D₄	C₂³	1	4	yes	—
176	C₂×D₃×D₄	C₂³	1	4	yes	—
177	C₂×D₃×D₄	C₂³	1	4	yes	complemented
178	C₂×#235	C₂³	1	8	yes	complemented
179	C₂²×D₁₂	—	2	8	no	—
180	C₂²×D₁₂	C₂³	1	4	yes	—
181	C₂²×D₁₂	C₂³	1	1	yes	characteristic
182	C₂²×D₁₂	C₂³	1	1	yes	characteristic
183	C₂²×D₁₂	C₂³	1	1	yes	characteristic
184	C₂²×D₁₂	C₂³	1	1	yes	characteristic
185	C₂²×D₁₂	C₂³	1	4	yes	—
186	C₂²×D₁₂	C₂³	1	2	yes	—
187	C₂²×D₁₂	C₂³	1	4	yes	complemented
188	C₂²×C₄×D₃	C₂³	1	2	yes	—
189	C₂²×C₄×D₃	C₂³	1	2	yes	—
190	C₂²×C₄×D₃	C₂³	1	2	yes	—
191	C₂²×C₄×D₃	C₂³	1	4	yes	—
192	C₂²×C₄×D₃	C₂³	1	8	yes	complemented
193	C₂²×C₄×D₃	C₂³	1	2	yes	complemented
194	C₂²×C₄×D₃	C₂³	1	2	yes	complemented
195	C₃×#126	C₂³	1	8	yes	complemented
196	C₃×#126	C₂³	1	8	yes	complemented
197	C₃×#125	C₂³	1	8	yes	complemented
198	C₃×#125	C₂³	1	4	yes	complemented
199	C₃×#124	C₂³	1	4	yes	complemented
200	C₃×#123	C₂³	1	8	yes	—
201	C₃×#123	C₂³	1	4	yes	—
202	C₃×#123	C₂³	1	4	yes	complemented
203	C₃×#123	C₂³	1	4	yes	complemented
204	C₃×#123	C₂³	1	8	yes	complemented
205	C₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
206	C₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
207	C₃×C₂²⋊Q₈	C₂³	1	4	yes	complemented
208	C₃×#121	C₂³	1	4	yes	—
209	C₃×#120	C₂³	1	4	yes	—
210	C₃×C₄×Q₈	C₂³	1	4	yes	complemented
211	C₃×C₄×D₄	C₂³	1	8	yes	—
212	C₃×C₄×D₄	C₂³	1	8	yes	complemented
213	C₃×C₄×D₄	C₂³	1	4	yes	complemented
214	C₃×#117	C₂³	1	4	yes	complemented
215	C₃×#117	C₂³	1	8	yes	complemented
216	C₃×#117	C₂³	1	8	yes	complemented
217	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	complemented
218	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	complemented
219	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	—
221	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
223	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
224	C₂×C₃×C₄²	C₂³	1	2	yes	complemented
225	#953	C₂³	1	4	yes	—
226	C₂×#217	C₂³	1	1	yes	characteristic
227	C₂×#217	C₂³	1	2	yes	—
228	C₂×#217	C₂³	1	1	yes	characteristic
229	C₂×#217	C₂³	1	4	yes	complemented
230	#947	C₂³	1	8	yes	complemented
231	#946	C₂³	1	4	yes	complemented
232	#946	C₂³	1	8	yes	complemented
233	#946	C₂³	1	4	yes	complemented
234	#939	C₂³	1	8	yes	—
235	#939	C₂³	1	8	yes	complemented
236	#938	C₂³	1	4	yes	complemented
237	#938	C₂³	1	4	yes	complemented
238	#937	C₂³	1	8	yes	—
239	#937	C₂³	1	4	yes	—
240	#937	C₂³	1	4	yes	complemented
241	#937	C₂³	1	4	yes	complemented
242	#937	C₂³	1	8	yes	complemented
243	#935	C₂³	1	4	yes	—
244	D₄×Dic₃	C₂³	1	8	yes	—
245	D₄×Dic₃	C₂³	1	8	yes	complemented
246	#930	C₂³	1	4	yes	—
247	#930	C₂³	1	8	yes	complemented
248	#929	C₂³	1	4	yes	—
249	#929	C₂³	1	8	yes	—
250	#929	C₂³	1	8	yes	complemented
251	#929	C₂³	1	4	yes	complemented
252	#929	C₂³	1	4	yes	complemented
253	C₄×#67	C₂³	1	8	yes	—
254	C₄×#67	C₂³	1	8	yes	complemented
255	C₄×#67	C₂³	1	8	yes	complemented
256	C₄×#67	C₂³	1	8	yes	complemented
257	C₄×#67	C₂³	1	8	yes	complemented
258	C₂×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
259	C₂×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
260	C₂×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
261	C₂×(C₂×D₃)⋊C₄	C₂³	1	4	yes	complemented
262	C₂×(C₂×D₃)⋊C₄	C₂³	1	8	yes	complemented
263	C₂×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
264	C₂×(C₂×D₃)⋊C₄	C₂³	1	4	yes	complemented
265	C₂×(C₂×D₃)⋊C₄	C₂³	1	4	yes	complemented
266	C₂×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
267	#926	C₂³	1	8	yes	complemented
268	#926	C₂³	1	4	yes	complemented
269	C₂×C₄⋊Dic₃	C₂³	1	2	yes	complemented
270	#924	C₂³	1	4	yes	complemented
271	#924	C₂³	1	8	yes	complemented
272	C₂×Dic₃⋊C₄	C₂³	1	4	yes	complemented
273	C₂×C₄×Dic₃	C₂³	1	2	yes	complemented
274	#898	C₂³	1	8	yes	complemented
275	#898	C₂³	1	8	yes	complemented
276	#898	C₂³	1	8	yes	complemented
277	#898	C₂³	1	8	yes	complemented
278	#898	C₂³	1	8	yes	complemented
279	#898	C₂³	1	8	yes	complemented
280	#897	C₂³	1	8	yes	complemented
281	#897	C₂³	1	4	yes	complemented
282	#897	C₂³	1	4	yes	complemented
283	#897	C₂³	1	8	yes	complemented
284	#896	C₂³	1	8	yes	complemented
285	#896	C₂³	1	8	yes	complemented
286	#896	C₂³	1	8	yes	complemented
287	#896	C₂³	1	8	yes	complemented
288	#896	C₂³	1	8	yes	complemented
289	#895	C₂³	1	8	yes	—
290	#895	C₂³	1	8	yes	—
291	#895	C₂³	1	8	yes	complemented
292	#895	C₂³	1	8	yes	complemented
293	#895	C₂³	1	4	yes	complemented
294	#895	C₂³	1	8	yes	complemented
295	#895	C₂³	1	4	yes	complemented
296	#894	C₂³	1	8	yes	—
297	#894	C₂³	1	8	yes	—
298	#894	C₂³	1	8	yes	complemented
299	#894	C₂³	1	8	yes	complemented
300	#894	C₂³	1	8	yes	complemented
301	#894	C₂³	1	8	yes	complemented
302	#894	C₂³	1	8	yes	complemented
303	#894	C₂³	1	8	yes	complemented
304	#894	C₂³	1	8	yes	complemented
305	#894	C₂³	1	8	yes	complemented
306	#893	C₂³	1	8	yes	—
307	#893	C₂³	1	8	yes	complemented
308	#893	C₂³	1	8	yes	complemented
309	#893	C₂³	1	8	yes	complemented
310	#893	C₂³	1	8	yes	complemented
311	#893	C₂³	1	8	yes	complemented
312	#893	C₂³	1	8	yes	complemented
313	#892	C₂³	1	4	yes	complemented
314	#892	C₂³	1	8	yes	complemented
315	#892	C₂³	1	8	yes	complemented
316	#892	C₂³	1	4	yes	complemented
317	D₃×C₄⋊C₄	C₂³	1	8	yes	complemented
318	D₃×C₄⋊C₄	C₂³	1	4	yes	complemented
319	D₃×C₄⋊C₄	C₂³	1	8	yes	complemented
320	D₃×C₄⋊C₄	C₂³	1	4	yes	complemented
321	#890	C₂³	1	8	yes	complemented
322	#889	C₂³	1	8	yes	complemented
323	#889	C₂³	1	8	yes	complemented
324	#889	C₂³	1	8	yes	complemented
325	#887	C₂³	1	8	yes	complemented
326	#886	C₂³	1	4	yes	—
327	#886	C₂³	1	8	yes	complemented
328	#886	C₂³	1	8	yes	complemented
329	#885	C₂³	1	8	yes	complemented
330	#885	C₂³	1	8	yes	complemented
331	#885	C₂³	1	8	yes	complemented
332	#884	C₂³	1	8	yes	—
333	#884	C₂³	1	8	yes	—
334	#884	C₂³	1	8	yes	complemented
335	#884	C₂³	1	8	yes	complemented
336	#884	C₂³	1	8	yes	complemented
337	#884	C₂³	1	8	yes	complemented
338	#884	C₂³	1	8	yes	complemented
339	#883	C₂³	1	8	yes	complemented
340	#883	C₂³	1	8	yes	complemented
341	#883	C₂³	1	8	yes	complemented
342	#883	C₂³	1	8	yes	complemented
343	#882	C₂³	1	8	yes	—
344	#882	C₂³	1	8	yes	—
345	#882	C₂³	1	8	yes	—
346	#882	C₂³	1	4	yes	—
347	#882	C₂³	1	4	yes	complemented
348	#882	C₂³	1	8	yes	complemented
349	#882	C₂³	1	8	yes	complemented
350	#882	C₂³	1	4	yes	complemented
351	#882	C₂³	1	8	yes	complemented
352	#67⋊C₄	C₂³	1	8	yes	—
353	#67⋊C₄	C₂³	1	8	yes	complemented
354	#67⋊C₄	C₂³	1	8	yes	complemented
355	#67⋊C₄	C₂³	1	8	yes	complemented
356	#67⋊C₄	C₂³	1	8	yes	complemented
357	#67⋊C₄	C₂³	1	8	yes	complemented
358	D₃×C₂²⋊C₄	C₂³	1	4	yes	—
359	D₃×C₂²⋊C₄	C₂³	1	4	yes	—
360	D₃×C₂²⋊C₄	C₂³	1	4	yes	—
361	D₃×C₂²⋊C₄	C₂³	1	4	yes	—
362	D₃×C₂²⋊C₄	C₂³	1	4	yes	—
363	D₃×C₂²⋊C₄	C₂³	1	4	yes	—
364	D₃×C₂²⋊C₄	C₂³	1	4	yes	—
365	D₃×C₂²⋊C₄	C₂³	1	4	yes	—
366	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
367	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
368	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
369	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
370	D₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
371	D₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
372	D₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
373	#879	C₂³	1	8	yes	complemented
374	#879	C₂³	1	8	yes	complemented
375	#878	C₂³	1	8	yes	complemented
376	#878	C₂³	1	8	yes	complemented
377	#878	C₂³	1	8	yes	complemented
378	#878	C₂³	1	8	yes	complemented
379	#877	C₂³	1	4	yes	complemented
380	#877	C₂³	1	8	yes	complemented
381	#877	C₂³	1	4	yes	complemented
382	#876	C₂³	1	8	yes	complemented
383	#876	C₂³	1	8	yes	complemented
384	#875	C₂³	1	8	yes	complemented
385	#875	C₂³	1	4	yes	complemented
386	C₄×D₁₂	C₂³	1	4	yes	—
387	C₄×D₁₂	C₂³	1	4	yes	—
388	C₄×D₁₂	C₂³	1	4	yes	complemented
389	C₄×D₁₂	C₂³	1	4	yes	complemented
390	C₄×D₁₂	C₂³	1	8	yes	complemented
391	C₄×D₁₂	C₂³	1	8	yes	complemented
392	C₄×D₁₂	C₂³	1	8	yes	complemented
393	C₄×D₁₂	C₂³	1	8	yes	complemented
394	C₄×D₁₂	C₂³	1	8	yes	complemented
395	C₄×D₁₂	C₂³	1	4	yes	complemented
396	#872	C₂³	1	8	yes	complemented
397	#872	C₂³	1	8	yes	complemented
398	#872	C₂³	1	8	yes	complemented
399	C₄²×D₃	C₂³	1	8	yes	complemented
400	#870	C₂³	1	4	yes	complemented
401	C₄×Dic₆	C₂³	1	4	yes	complemented
402	C₂³×D₄	—	3	2	no	—
403	C₂³×D₄	—	3	1	no	—
404	#553	—	3	8	no	—
405	#553	—	3	8	no	—
406	#553	—	3	8	no	—
407	#553	—	3	4	no	—
408	#553	—	3	8	no	—
409	#553	—	3	4	no	—
410	#553	—	3	8	no	—
411	#552	—	3	8	no	—
412	#552	—	3	4	no	—
413	#552	—	3	8	no	—
414	#552	—	3	4	no	—
415	#552	—	3	8	no	—
416	#552	—	3	8	no	—
417	#552	C₂×D₃	1	8	yes	complemented
418	#551	—	3	8	no	—
419	#551	—	3	8	no	—
420	#551	—	3	8	no	—
421	#551	—	3	8	no	—
422	#551	—	3	8	no	—
423	#551	—	3	8	no	—
424	#551	—	3	8	no	—
425	#551	—	3	8	no	—
426	#551	—	3	8	no	—
427	#551	—	3	8	no	—
428	#551	—	3	8	no	—
429	#551	C₂×D₃	1	8	yes	complemented
430	#548	—	3	4	no	—
431	#548	—	3	8	no	—
432	#548	—	3	4	no	—
433	#546	—	3	4	no	—
434	#546	—	3	8	no	—
435	#546	—	3	8	no	—
436	#546	—	3	8	no	—
437	#546	—	3	8	no	—
438	#546	—	3	4	no	—
439	#546	—	3	8	no	—
440	#543	—	3	4	no	—
441	#543	—	3	8	no	—
442	#543	—	3	2	no	—
443	#543	—	3	1	no	—
444	#543	C₂×D₃	1	1	yes	characteristic, complemented
445	#539	—	3	8	no	—
446	#539	—	3	8	no	—
447	#539	—	3	8	no	—
448	#539	—	3	8	no	—
449	#539	—	3	8	no	—
450	#539	—	3	4	no	—
451	#539	C₂×D₃	1	4	yes	complemented
452	#538	—	3	8	no	—
453	#538	—	3	8	no	—
454	#538	—	3	8	no	—
455	#538	—	3	8	no	—
456	#538	—	3	4	no	—
457	#538	—	3	4	no	—
458	#538	—	3	8	no	—
459	#534	—	3	2	no	—
460	#534	—	3	8	no	—
461	#534	—	3	4	no	—
462	#534	—	3	8	no	—
463	#534	—	3	4	no	—
464	#534	—	3	4	no	—
465	#534	—	3	4	no	—
466	#534	—	3	4	no	—
467	#534	—	3	4	no	—
468	#534	—	3	4	no	—
469	#534	—	3	1	no	—
470	#534	C₂×D₃	1	1	yes	characteristic
471	#529	—	3	8	no	—
472	#529	—	3	8	no	—
473	#529	—	3	8	no	—
474	#529	—	3	8	no	—
475	#529	—	3	8	no	—
476	#529	—	3	4	no	—
477	#529	C₂×D₃	1	4	yes	complemented
478	#525	—	3	8	no	—
479	#525	—	3	8	no	—
480	#525	—	3	4	no	—
481	#525	—	3	4	no	—
482	#525	—	3	8	no	—
483	#525	—	3	8	no	—
484	#525	—	3	8	no	—
485	C₂×#123	—	3	2	no	—
486	C₂×#123	—	3	4	no	—
487	C₂×#123	—	3	4	no	—
488	C₂×#123	C₂×D₃	1	2	yes	complemented
489	C₂×C₂²⋊Q₈	—	3	8	no	—
490	C₂×C₂²⋊Q₈	—	3	4	no	—
491	C₂×#121	—	3	4	no	—
492	C₂×#121	—	3	4	no	—
493	C₂×#121	—	3	4	no	—
494	C₂×#120	—	3	2	no	—
495	C₂×#120	—	3	4	no	—
496	C₂×#120	—	3	2	no	—
497	C₂×#120	—	3	4	no	—
498	#518	—	3	2	no	—
499	#518	—	3	8	no	—
500	#518	—	3	8	no	—
501	#518	—	3	8	no	—
502	#518	—	3	4	no	—
503	#518	—	3	8	no	—
504	#518	—	3	2	no	—
505	#518	—	3	2	no	—
506	#518	—	3	4	no	—
507	#518	C₂×D₃	1	2	yes	complemented
508	C₂×C₄×D₄	—	3	8	no	—
509	C₂×C₄×D₄	—	3	8	no	—
510	C₂×C₄×D₄	—	3	2	no	—
511	C₂×C₄×D₄	—	3	2	no	—
512	C₂×C₄×D₄	—	3	2	no	—
513	C₂×C₄×D₄	—	3	2	no	—
514	C₂×#117	—	3	1	no	—
515	C₂×#117	—	3	4	no	—
516	C₂×#117	C₂×D₃	1	1	yes	characteristic, complemented
517	C₂²×C₂²⋊C₄	—	3	1	no	—
518	C₂²×C₂²⋊C₄	—	3	1	no	—
519	C₂²×C₂²⋊C₄	—	3	2	no	—
520	C₂²×C₂²⋊C₄	—	3	1	no	—
521	C₂²×C₂²⋊C₄	—	3	1	no	—
522	C₂²×C₂²⋊C₄	—	3	4	no	—
523	C₂⁴×C₃	C₂⁴	1	2	yes	—
524	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
525	C₂³×D₃	—	2	4	no	—
526	C₂³×D₃	—	2	8	no	—
527	C₂³×D₃	—	8	2	no	—
528	C₂³×D₃	—	8	4	no	—
529	C₂³×D₃	—	8	2	no	—
530	C₂³×D₃	#41	1	8	yes	complemented
531	C₂³×D₃	C₂⁴	1	4	yes	—
532	C₂³×D₃	C₂⁴	1	4	yes	—
533	C₂³×D₃	C₂⁴	1	2	yes	—
534	C₂³×D₃	C₂⁴	1	4	yes	—
535	C₂³×D₃	C₂⁴	1	1	yes	characteristic
536	C₂³×D₃	C₂⁴	1	1	yes	characteristic
537	C₂³×D₃	C₂⁴	1	2	yes	—
538	C₂³×D₃	C₂⁴	1	2	yes	—
539	C₂³×D₃	C₂⁴	1	1	yes	characteristic
540	C₂³×D₃	C₂⁴	1	1	yes	characteristic
541	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
542	C₂×C₃×D₄	—	2	8	no	—
543	C₂×C₃×D₄	C₂⁴	1	4	yes	—
544	C₂×C₃×D₄	C₂⁴	1	4	yes	—
545	C₂×C₃×D₄	C₂⁴	1	4	yes	—
546	C₂²×C₃×C₄	—	2	4	no	—
547	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
548	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
549	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
550	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
551	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
552	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
553	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
554	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
555	C₂×#67	—	2	8	no	—
556	C₂×#67	—	2	8	no	—
557	C₂×#67	—	8	4	no	—
558	C₂×#67	C₂⁴	1	4	yes	—
559	C₂×#67	C₂⁴	1	4	yes	—
560	C₂×#67	C₂⁴	1	4	yes	—
561	C₂×#67	C₂⁴	1	4	yes	—
562	C₂×#67	C₂⁴	1	8	yes	—
563	C₂×#67	C₂⁴	1	8	yes	—
564	C₂×#67	C₂⁴	1	8	yes	—
565	C₂²×Dic₃	C₂⁴	1	2	yes	—
566	C₂²×Dic₃	C₂⁴	1	8	yes	—
567	C₂²×Dic₃	C₂⁴	1	4	yes	—
568	C₂²×Dic₃	C₂⁴	1	2	yes	—
569	C₂²×Dic₃	C₂⁴	1	2	yes	—
570	#239	—	8	4	no	—
571	D₃×Q₈	—	8	4	no	—
572	#237	—	8	4	no	—
573	D₃×D₄	—	2	16	no	—
574	D₃×D₄	—	2	16	no	—
575	D₃×D₄	—	2	16	no	—
576	D₃×D₄	—	2	16	no	—
577	D₃×D₄	—	8	4	no	—
578	#235	—	8	8	no	—
579	C₂×D₁₂	—	2	4	no	—
580	C₂×D₁₂	—	2	4	no	—
581	C₂×D₁₂	—	2	4	no	—
582	C₂×D₁₂	—	2	4	no	—
583	C₂×D₁₂	—	2	16	no	—
584	C₂×D₁₂	—	2	16	no	—
585	C₂×D₁₂	—	2	8	no	—
586	C₂×D₁₂	—	8	4	no	—
587	C₂×D₁₂	C₂⁴	1	2	yes	—
588	C₂×D₁₂	C₂⁴	1	4	yes	—
589	C₂×D₁₂	C₂⁴	1	2	yes	—
590	C₂×D₁₂	C₂⁴	1	4	yes	—
591	C₂×D₁₂	C₂⁴	1	4	yes	—
592	C₂×D₁₂	C₂⁴	1	2	yes	—
593	C₂×D₁₂	C₂⁴	1	4	yes	—
594	C₂×D₁₂	C₂⁴	1	2	yes	—
595	C₂×D₁₂	C₂⁴	1	4	yes	—
596	C₂×D₁₂	C₂⁴	1	8	yes	—
597	C₂×D₁₂	C₂⁴	1	8	yes	—
598	C₂×C₄×D₃	—	2	8	no	—
599	C₂×C₄×D₃	—	8	2	no	—
600	C₂×C₄×D₃	—	8	4	no	—
601	C₂×C₄×D₃	—	8	2	no	—
602	C₂×C₄×D₃	—	8	8	no	—
603	C₂×C₄×D₃	—	8	2	no	—
604	C₂×C₄×D₃	—	8	2	no	—
605	C₂×C₄×D₃	C₂⁴	1	4	yes	—
606	C₂×C₄×D₃	C₂⁴	1	4	yes	—
607	C₂×C₄×D₃	C₂⁴	1	8	yes	—
608	C₂×C₄×D₃	C₂⁴	1	8	yes	—
609	C₂×C₄×D₃	C₂⁴	1	8	yes	—
610	C₂×C₄×D₃	C₂⁴	1	8	yes	—
611	C₂×C₄×D₃	C₂⁴	1	4	yes	—
612	C₂×C₄×D₃	C₂⁴	1	4	yes	—
613	C₂×C₄×D₃	C₂⁴	1	4	yes	—
614	C₂×C₄×D₃	C₂⁴	1	4	yes	—
615	C₂×C₄×D₃	C₂⁴	1	8	yes	—
616	C₂×C₄×D₃	C₂⁴	1	8	yes	—
617	C₂×Dic₆	C₂⁴	1	4	yes	—
618	C₂×Dic₆	C₂⁴	1	8	yes	—
619	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
620	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
621	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
622	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
623	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
624	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
625	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
626	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
627	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
628	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
629	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
630	C₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
631	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
632	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
633	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
634	C₃×C₄²	C₂⁴	1	4	yes	—
635	C₃×C₄²	C₂⁴	1	4	yes	—
636	C₃×C₄²	C₂⁴	1	8	yes	—
637	#217	C₂⁴	1	4	yes	—
638	#217	C₂⁴	1	8	yes	—
639	#217	C₂⁴	1	4	yes	—
640	#217	C₂⁴	1	4	yes	—
641	#217	C₂⁴	1	4	yes	—
642	#217	C₂⁴	1	8	yes	—
643	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
644	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
645	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
646	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
647	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
648	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
649	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
650	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
651	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
652	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
653	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
654	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
655	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
656	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
657	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
658	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
659	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
660	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
661	C₄⋊Dic₃	C₂⁴	1	4	yes	—
662	C₄⋊Dic₃	C₂⁴	1	4	yes	—
663	C₄⋊Dic₃	C₂⁴	1	4	yes	—
664	C₄⋊Dic₃	C₂⁴	1	4	yes	—
665	C₄⋊Dic₃	C₂⁴	1	8	yes	—
666	C₄⋊Dic₃	C₂⁴	1	8	yes	—
667	Dic₃⋊C₄	C₂⁴	1	8	yes	—
668	Dic₃⋊C₄	C₂⁴	1	8	yes	—
669	Dic₃⋊C₄	C₂⁴	1	8	yes	—
670	Dic₃⋊C₄	C₂⁴	1	8	yes	—
671	Dic₃⋊C₄	C₂⁴	1	8	yes	—
672	Dic₃⋊C₄	C₂⁴	1	8	yes	—
673	Dic₃⋊C₄	C₂⁴	1	8	yes	—
674	Dic₃⋊C₄	C₂⁴	1	8	yes	—
675	C₄×Dic₃	C₂⁴	1	8	yes	—
676	C₄×Dic₃	C₂⁴	1	8	yes	—
677	C₄×Dic₃	C₂⁴	1	8	yes	—
678	C₄×Dic₃	C₂⁴	1	8	yes	—
679	C₂⁵	—	3	1	no	—
680	C₂⁵	—	3	2	no	—
681	C₂⁵	—	3	1	no	—
682	C₂×#41	—	3	4	no	—
683	C₂×#41	—	3	4	no	—
684	C₂×#41	—	3	8	no	—
685	C₂²×Q₈	—	3	4	no	—
686	C₂²×D₄	—	3	2	no	—
687	C₂²×D₄	—	3	2	no	—
688	C₂²×D₄	—	3	4	no	—
689	C₂²×D₄	—	3	4	no	—
690	C₂²×D₄	—	3	4	no	—
691	C₂²×D₄	—	3	4	no	—
692	C₂²×D₄	—	3	4	no	—
693	C₂²×D₄	—	3	4	no	—
694	C₂²×D₄	—	3	1	no	—
695	C₂²×D₄	—	3	1	no	—
696	C₂²×D₄	—	3	1	no	—
697	C₂²×D₄	—	3	1	no	—
698	C₂²×D₄	—	3	4	no	—
699	C₂²×D₄	—	3	2	no	—
700	C₂²×D₄	—	3	4	no	—
701	C₂²×D₄	—	3	4	no	—
702	C₂²×D₄	—	6	8	no	—
703	C₂²×D₄	—	6	16	no	—
704	C₂²×D₄	C₂²×D₃	1	2	yes	—
705	C₂³×C₄	—	3	2	no	—
706	C₂³×C₄	—	3	2	no	—
707	C₂³×C₄	—	3	2	no	—
708	C₂³×C₄	—	3	4	no	—
709	C₂³×C₄	—	3	2	no	—
710	C₂³×C₄	—	3	2	no	—
711	C₂³×C₄	—	3	8	no	—
712	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
713	#126	—	3	8	no	—
714	#126	—	3	8	no	—
715	#126	—	3	8	no	—
716	#126	—	3	8	no	—
717	#126	—	3	8	no	—
718	#126	—	3	8	no	—
719	#126	—	3	8	no	—
720	#126	—	3	8	no	—
721	#126	—	3	8	no	—
722	#126	—	3	8	no	—
723	#126	C₂²×D₃	1	8	yes	complemented
724	#126	C₂²×D₃	1	8	yes	complemented
725	#125	—	3	8	no	—
726	#125	—	3	8	no	—
727	#125	—	3	8	no	—
728	#125	—	3	8	no	—
729	#125	—	3	4	no	—
730	#125	C₂²×D₃	1	8	yes	complemented
731	#125	C₂²×D₃	1	4	yes	complemented
732	#124	—	3	8	no	—
733	#124	—	3	8	no	—
734	#124	—	3	8	no	—
735	#124	—	3	8	no	—
736	#124	—	3	8	no	—
737	#124	—	3	4	no	—
738	#124	C₂²×D₃	1	4	yes	complemented
739	#123	—	3	4	no	—
740	#123	—	3	4	no	—
741	#123	—	3	4	no	—
742	#123	—	3	4	no	—
743	#123	—	3	8	no	—
744	#123	—	3	8	no	—
745	#123	—	3	8	no	—
746	#123	—	3	8	no	—
747	#123	—	3	8	no	—
748	#123	—	3	8	no	—
749	#123	—	3	8	no	—
750	#123	—	3	8	no	—
751	#123	—	3	8	no	—
752	#123	—	3	8	no	—
753	#123	—	3	8	no	—
754	#123	—	3	8	no	—
755	#123	—	3	8	no	—
756	#123	—	3	4	no	—
757	#123	—	3	8	no	—
758	#123	—	3	8	no	—
759	#123	—	3	8	no	—
760	#123	—	3	8	no	—
761	#123	—	3	8	no	—
762	#123	C₂²×D₃	1	4	yes	—
763	#123	C₂²×D₃	1	8	yes	—
764	#123	C₂²×D₃	1	4	yes	complemented
765	#123	C₂²×D₃	1	4	yes	complemented
766	#123	C₂²×D₃	1	8	yes	complemented
767	C₂²⋊Q₈	—	3	8	no	—
768	C₂²⋊Q₈	—	3	4	no	—
769	C₂²⋊Q₈	—	3	4	no	—
770	C₂²⋊Q₈	—	3	4	no	—
771	C₂²⋊Q₈	—	3	8	no	—
772	C₂²⋊Q₈	—	3	8	no	—
773	C₂²⋊Q₈	—	3	8	no	—
774	C₂²⋊Q₈	—	3	8	no	—
775	C₂²⋊Q₈	—	3	8	no	—
776	C₂²⋊Q₈	—	3	4	no	—
777	C₂²⋊Q₈	—	3	8	no	—
778	C₂²⋊Q₈	—	3	8	no	—
779	C₂²⋊Q₈	—	3	4	no	—
780	C₂²⋊Q₈	—	3	8	no	—
781	C₂²⋊Q₈	—	3	8	no	—
782	C₂²⋊Q₈	—	3	8	no	—
783	C₂²⋊Q₈	—	3	8	no	—
784	C₂²⋊Q₈	—	3	8	no	—
785	C₂²⋊Q₈	C₂²×D₃	1	4	yes	complemented
786	C₂²⋊Q₈	C₂²×D₃	1	8	yes	complemented
787	C₂²⋊Q₈	C₂²×D₃	1	8	yes	complemented
788	#121	—	3	8	no	—
789	#121	—	3	4	no	—
790	#121	—	3	4	no	—
791	#121	—	3	8	no	—
792	#121	—	3	4	no	—
793	#121	—	3	8	no	—
794	#121	—	3	8	no	—
795	#121	—	3	8	no	—
796	#121	—	3	4	no	—
797	#121	—	3	8	no	—
798	#121	—	3	8	no	—
799	#121	—	3	4	no	—
800	#121	—	3	8	no	—
801	#121	—	3	8	no	—
802	#121	—	3	8	no	—
803	#121	—	3	8	no	—
804	#121	—	3	8	no	—
805	#121	—	3	8	no	—
806	#121	—	3	8	no	—
807	#121	—	3	8	no	—
808	#121	C₂²×D₃	1	4	yes	—
809	#120	—	3	4	no	—
810	#120	—	3	4	no	—
811	#120	—	3	4	no	—
812	#120	—	3	8	no	—
813	#120	—	3	8	no	—
814	#120	—	3	4	no	—
815	#120	—	3	8	no	—
816	#120	—	3	8	no	—
817	#120	—	3	8	no	—
818	#120	—	3	4	no	—
819	#120	—	3	4	no	—
820	#120	—	3	8	no	—
821	#120	—	3	8	no	—
822	#120	—	3	4	no	—
823	#120	—	3	8	no	—
824	#120	C₂²×D₃	1	4	yes	—
825	C₄×Q₈	—	3	8	no	—
826	C₄×Q₈	—	3	4	no	—
827	C₄×Q₈	C₂²×D₃	1	4	yes	complemented
828	C₄×D₄	—	3	8	no	—
829	C₄×D₄	—	3	8	no	—
830	C₄×D₄	—	3	8	no	—
831	C₄×D₄	—	3	8	no	—
832	C₄×D₄	—	3	8	no	—
833	C₄×D₄	—	3	8	no	—
834	C₄×D₄	—	3	8	no	—
835	C₄×D₄	—	3	8	no	—
836	C₄×D₄	—	3	8	no	—
837	C₄×D₄	—	3	8	no	—
838	C₄×D₄	—	3	8	no	—
839	C₄×D₄	—	3	8	no	—
840	C₄×D₄	—	3	8	no	—
841	C₄×D₄	—	3	8	no	—
842	C₄×D₄	—	3	8	no	—
843	C₄×D₄	—	3	8	no	—
844	C₄×D₄	—	3	8	no	—
845	C₄×D₄	—	3	8	no	—
846	C₄×D₄	—	3	8	no	—
847	C₄×D₄	—	3	8	no	—
848	C₄×D₄	—	3	8	no	—
849	C₄×D₄	—	3	8	no	—
850	C₄×D₄	—	3	8	no	—
851	C₄×D₄	—	3	4	no	—
852	C₄×D₄	—	3	4	no	—
853	C₄×D₄	—	3	8	no	—
854	C₄×D₄	—	3	4	no	—
855	C₄×D₄	—	3	4	no	—
856	C₄×D₄	—	3	8	no	—
857	C₄×D₄	—	3	4	no	—
858	C₄×D₄	C₂²×D₃	1	8	yes	—
859	C₄×D₄	C₂²×D₃	1	8	yes	complemented
860	C₄×D₄	C₂²×D₃	1	4	yes	complemented
861	#117	—	3	4	no	—
862	#117	—	3	8	no	—
863	#117	—	3	8	no	—
864	#117	—	3	4	no	—
865	#117	—	3	8	no	—
866	#117	—	3	4	no	—
867	#117	—	3	4	no	—
868	#117	—	3	4	no	—
869	#117	—	3	8	no	—
870	#117	—	3	8	no	—
871	#117	—	3	8	no	—
872	#117	—	3	8	no	—
873	#117	C₂²×D₃	1	4	yes	complemented
874	#117	C₂²×D₃	1	8	yes	complemented
875	#117	C₂²×D₃	1	8	yes	complemented
876	C₂×C₄⋊C₄	—	3	2	no	—
877	C₂×C₄⋊C₄	—	3	4	no	—
878	C₂×C₄⋊C₄	—	3	8	no	—
879	C₂×C₄⋊C₄	—	3	4	no	—
880	C₂×C₄⋊C₄	—	3	4	no	—
881	C₂×C₄⋊C₄	—	3	8	no	—
882	C₂×C₄⋊C₄	C₂²×D₃	1	2	yes	complemented
883	C₂×C₄⋊C₄	C₂²×D₃	1	4	yes	complemented
884	C₂×C₂²⋊C₄	—	3	1	no	—
885	C₂×C₂²⋊C₄	—	3	1	no	—
886	C₂×C₂²⋊C₄	—	3	2	no	—
887	C₂×C₂²⋊C₄	—	3	4	no	—
888	C₂×C₂²⋊C₄	—	3	2	no	—
889	C₂×C₂²⋊C₄	—	3	2	no	—
890	C₂×C₂²⋊C₄	—	3	2	no	—
891	C₂×C₂²⋊C₄	—	3	2	no	—
892	C₂×C₂²⋊C₄	—	3	4	no	—
893	C₂×C₂²⋊C₄	—	3	8	no	—
894	C₂×C₂²⋊C₄	—	3	4	no	—
895	C₂×C₂²⋊C₄	—	3	4	no	—
896	C₂×C₂²⋊C₄	—	3	4	no	—
897	C₂×C₂²⋊C₄	—	3	4	no	—
898	C₂×C₂²⋊C₄	—	3	4	no	—
899	C₂×C₂²⋊C₄	—	3	4	no	—
900	C₂×C₂²⋊C₄	—	3	4	no	—
901	C₂×C₂²⋊C₄	—	3	8	no	—
902	C₂×C₂²⋊C₄	—	3	4	no	—
903	C₂×C₂²⋊C₄	—	3	4	no	—
904	C₂×C₂²⋊C₄	—	3	4	no	—
905	C₂×C₂²⋊C₄	—	3	4	no	—
906	C₂×C₂²⋊C₄	—	3	8	no	—
907	C₂×C₂²⋊C₄	—	3	4	no	—
908	C₂×C₂²⋊C₄	—	3	8	no	—
909	C₂×C₂²⋊C₄	—	3	4	no	—
910	C₂×C₂²⋊C₄	—	3	8	no	—
911	C₂×C₂²⋊C₄	—	3	8	no	—
912	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
913	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
914	C₂×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
915	C₂×C₂²⋊C₄	C₂²×D₃	1	4	yes	complemented
916	C₂×C₂²⋊C₄	C₂²×D₃	1	4	yes	complemented
917	C₂×C₄²	—	3	2	no	—
918	C₂×C₄²	—	3	8	no	—
919	C₂×C₄²	C₂²×D₃	1	2	yes	complemented
920	C₂³×C₃	—	2	4	no	—
921	C₂³×C₃	—	4	2	no	—
922	C₂³×C₃	—	4	4	no	—
923	C₂³×C₃	C₂×#41	1	4	yes	—
924	C₂³×C₃	C₂⁵	1	4	yes	—
925	C₂³×C₃	C₂⁵	1	2	yes	—
926	C₂³×C₃	C₂⁵	1	1	yes	characteristic
927	C₂²×D₃	—	2	2	no	—
928	C₂²×D₃	—	2	2	no	—
929	C₂²×D₃	—	2	8	no	—
930	C₂²×D₃	—	2	4	no	—
931	C₂²×D₃	—	2	8	no	—
932	C₂²×D₃	—	2	8	no	—
933	C₂²×D₃	—	4	4	no	—
934	C₂²×D₃	—	4	2	no	—
935	C₂²×D₃	—	4	2	no	—
936	C₂²×D₃	—	4	8	no	—
937	C₂²×D₃	—	4	2	no	—
938	C₂²×D₃	—	4	2	no	—
939	C₂²×D₃	—	4	4	no	—
940	C₂²×D₃	—	4	4	no	—
941	C₂²×D₃	—	4	4	no	—
942	C₂²×D₃	—	4	8	no	—
943	C₂²×D₃	—	4	4	no	—
944	C₂²×D₃	—	8	8	no	—
945	C₂²×D₃	—	8	16	no	—
946	C₂²×D₃	—	8	8	no	—
947	C₂²×D₃	C₂×#41	1	8	yes	—
948	C₂²×D₃	C₂×#41	1	8	yes	—
949	C₂²×D₃	C₂×#41	1	4	yes	—
950	C₂²×D₃	C₂×#41	1	4	yes	—
951	C₂²×D₃	C₂⁵	1	2	yes	—
952	C₂²×D₃	C₂⁵	1	2	yes	—
953	C₂²×D₃	C₂⁵	1	4	yes	—
954	C₂²×D₃	C₂⁵	1	1	yes	characteristic
955	C₂²×D₃	C₂⁵	1	2	yes	—
956	C₂²×D₃	C₂⁵	1	1	yes	characteristic
957	C₃×Q₈	—	4	4	no	—
958	C₃×D₄	—	2	8	no	—
959	C₃×D₄	—	2	8	no	—
960	C₃×D₄	—	4	4	no	—
961	C₂×C₃×C₄	—	2	4	no	—
962	C₂×C₃×C₄	—	2	8	no	—
963	C₂×C₃×C₄	—	2	2	no	—
964	C₂×C₃×C₄	—	2	2	no	—
965	C₂×C₃×C₄	—	4	2	no	—
966	C₂×C₃×C₄	—	4	2	no	—
967	C₂×C₃×C₄	—	4	4	no	—
968	C₂×C₃×C₄	—	4	8	no	—
969	C₂×C₃×C₄	C₂⁵	1	2	yes	—
970	C₂×C₃×C₄	C₂⁵	1	4	yes	—
971	C₂×C₃×C₄	C₂⁵	1	4	yes	—
972	C₂×C₃×C₄	C₂⁵	1	8	yes	—
973	C₂×C₃×C₄	C₂⁵	1	2	yes	—
974	C₂×C₃×C₄	C₂⁵	1	4	yes	—
975	#67	—	2	8	no	—
976	#67	—	2	8	no	—
977	#67	—	2	8	no	—
978	#67	—	2	8	no	—
979	#67	—	4	8	no	—
980	#67	—	4	8	no	—
981	#67	—	4	8	no	—
982	C₂×Dic₃	—	2	4	no	—
983	C₂×Dic₃	—	4	2	no	—
984	C₂×Dic₃	—	4	2	no	—
985	C₂×Dic₃	—	4	8	no	—
986	C₂×Dic₃	—	4	4	no	—
987	C₂×Dic₃	C₂⁵	1	4	yes	—
988	C₂×Dic₃	C₂⁵	1	4	yes	—
989	C₂×Dic₃	C₂⁵	1	8	yes	—
990	C₂×Dic₃	C₂⁵	1	4	yes	—
991	D₁₂	—	2	4	no	—
992	D₁₂	—	2	4	no	—
993	D₁₂	—	2	8	no	—
994	D₁₂	—	2	8	no	—
995	D₁₂	—	2	4	no	—
996	D₁₂	—	2	4	no	—
997	D₁₂	—	2	8	no	—
998	D₁₂	—	2	8	no	—
999	D₁₂	—	4	8	no	—
1000	D₁₂	—	4	8	no	—
1001	D₁₂	—	4	4	no	—
1002	C₄×D₃	—	2	8	no	—
1003	C₄×D₃	—	2	8	no	—
1004	C₄×D₃	—	4	8	no	—
1005	C₄×D₃	—	4	8	no	—
1006	C₄×D₃	—	4	8	no	—
1007	C₄×D₃	—	4	8	no	—
1008	C₄×D₃	—	4	4	no	—
1009	C₄×D₃	—	4	4	no	—
1010	C₄×D₃	—	4	4	no	—
1011	C₄×D₃	—	4	8	no	—
1012	C₄×D₃	—	4	4	no	—
1013	C₄×D₃	—	4	8	no	—
1014	Dic₆	—	4	8	no	—
1015	Dic₆	—	4	4	no	—
1016	C₂⁴	—	3	2	no	—
1017	C₂⁴	—	3	1	no	—
1018	C₂⁴	—	3	1	no	—
1019	C₂⁴	—	3	2	no	—
1020	C₂⁴	—	3	8	no	—
1021	C₂⁴	—	3	4	no	—
1022	C₂⁴	—	3	2	no	—
1023	C₂⁴	—	3	4	no	—
1024	C₂⁴	—	3	4	no	—
1025	C₂⁴	—	3	1	no	—
1026	C₂⁴	—	3	1	no	—
1027	C₂⁴	—	6	8	no	—
1028	C₂⁴	—	6	4	no	—
1029	C₂⁴	—	24	2	no	—
1030	C₂⁴	—	24	2	no	—
1031	C₂⁴	—	24	4	no	—
1032	C₂⁴	C₂³×D₃	1	2	yes	—
1033	C₂⁴	C₂³×D₃	1	1	yes	characteristic
1034	#41	—	24	8	no	—
1035	#41	—	24	4	no	—
1036	#41	—	24	4	no	—
1037	C₂×Q₈	—	3	8	no	—
1038	C₂×Q₈	—	3	4	no	—
1039	C₂×Q₈	—	24	4	no	—
1040	C₂×Q₈	C₂³×D₃	1	4	yes	—
1041	C₂×D₄	—	2	8	no	—
1042	C₂×D₄	—	3	4	no	—
1043	C₂×D₄	—	3	4	no	—
1044	C₂×D₄	—	3	4	no	—
1045	C₂×D₄	—	3	4	no	—
1046	C₂×D₄	—	3	8	no	—
1047	C₂×D₄	—	3	8	no	—
1048	C₂×D₄	—	3	8	no	—
1049	C₂×D₄	—	3	2	no	—
1050	C₂×D₄	—	3	2	no	—
1051	C₂×D₄	—	3	4	no	—
1052	C₂×D₄	—	3	4	no	—
1053	C₂×D₄	—	3	4	no	—
1054	C₂×D₄	—	3	2	no	—
1055	C₂×D₄	—	3	4	no	—
1056	C₂×D₄	—	3	2	no	—
1057	C₂×D₄	—	3	8	no	—
1058	C₂×D₄	—	3	8	no	—
1059	C₂×D₄	—	3	4	no	—
1060	C₂×D₄	—	6	16	no	—
1061	C₂×D₄	—	6	4	no	—
1062	C₂×D₄	—	6	4	no	—
1063	C₂×D₄	—	6	4	no	—
1064	C₂×D₄	—	6	4	no	—
1065	C₂×D₄	—	6	16	no	—
1066	C₂×D₄	—	6	8	no	—
1067	C₂×D₄	—	6	16	no	—
1068	C₂×D₄	—	6	16	no	—
1069	C₂×D₄	—	6	16	no	—
1070	C₂×D₄	—	6	16	no	—
1071	C₂×D₄	—	6	8	no	—
1072	C₂×D₄	—	6	8	no	—
1073	C₂×D₄	—	24	4	no	—
1074	C₂×D₄	—	24	4	no	—
1075	C₂×D₄	—	24	4	no	—
1076	C₂×D₄	C₂³×D₃	1	4	yes	—
1077	C₂×D₄	C₂³×D₃	1	4	yes	—
1078	C₂×D₄	C₂³×D₃	1	4	yes	—
1079	C₂²×C₄	—	2	4	no	—
1080	C₂²×C₄	—	3	2	no	—
1081	C₂²×C₄	—	3	2	no	—
1082	C₂²×C₄	—	3	2	no	—
1083	C₂²×C₄	—	3	4	no	—
1084	C₂²×C₄	—	3	8	no	—
1085	C₂²×C₄	—	3	4	no	—
1086	C₂²×C₄	—	3	4	no	—
1087	C₂²×C₄	—	3	8	no	—
1088	C₂²×C₄	—	3	8	no	—
1089	C₂²×C₄	—	3	4	no	—
1090	C₂²×C₄	—	3	8	no	—
1091	C₂²×C₄	—	3	4	no	—
1092	C₂²×C₄	—	3	8	no	—
1093	C₂²×C₄	—	3	4	no	—
1094	C₂²×C₄	—	3	4	no	—
1095	C₂²×C₄	—	3	8	no	—
1096	C₂²×C₄	—	3	8	no	—
1097	C₂²×C₄	—	6	8	no	—
1098	C₂²×C₄	—	24	2	no	—
1099	C₂²×C₄	—	24	2	no	—
1100	C₂²×C₄	—	24	2	no	—
1101	C₂²×C₄	—	24	2	no	—
1102	C₂²×C₄	—	24	4	no	—
1103	C₂²×C₄	—	24	8	no	—
1104	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1105	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1106	C₂²×C₄	C₂³×D₃	1	2	yes	—
1107	C₂²×C₄	C₂³×D₃	1	4	yes	—
1108	C₂²×C₄	C₂³×D₃	1	2	yes	—
1109	C₂²×C₄	C₂³×D₃	1	2	yes	—
1110	C₂²×C₄	C₂³×D₃	1	4	yes	—
1111	C₂²×C₄	C₂³×D₃	1	8	yes	—
1112	C₄⋊C₄	—	3	8	no	—
1113	C₄⋊C₄	—	3	8	no	—
1114	C₄⋊C₄	—	3	8	no	—
1115	C₄⋊C₄	—	3	4	no	—
1116	C₄⋊C₄	—	3	4	no	—
1117	C₄⋊C₄	—	3	8	no	—
1118	C₄⋊C₄	—	3	8	no	—
1119	C₄⋊C₄	—	3	8	no	—
1120	C₄⋊C₄	—	3	8	no	—
1121	C₄⋊C₄	—	3	4	no	—
1122	C₄⋊C₄	—	3	8	no	—
1123	C₄⋊C₄	—	3	8	no	—
1124	C₄⋊C₄	—	3	8	no	—
1125	C₄⋊C₄	—	3	4	no	—
1126	C₄⋊C₄	C₂³×D₃	1	8	yes	—
1127	C₄⋊C₄	C₂³×D₃	1	4	yes	—
1128	C₄⋊C₄	C₂³×D₃	1	4	yes	—
1129	C₄⋊C₄	C₂³×D₃	1	8	yes	—
1130	C₄⋊C₄	C₂³×D₃	1	8	yes	—
1131	C₄⋊C₄	C₂³×D₃	1	8	yes	—
1132	C₄⋊C₄	C₂³×D₃	1	8	yes	—
1133	C₂²⋊C₄	—	3	4	no	—
1134	C₂²⋊C₄	—	3	4	no	—
1135	C₂²⋊C₄	—	3	4	no	—
1136	C₂²⋊C₄	—	3	4	no	—
1137	C₂²⋊C₄	—	3	8	no	—
1138	C₂²⋊C₄	—	3	8	no	—
1139	C₂²⋊C₄	—	3	4	no	—
1140	C₂²⋊C₄	—	3	8	no	—
1141	C₂²⋊C₄	—	3	4	no	—
1142	C₂²⋊C₄	—	3	8	no	—
1143	C₂²⋊C₄	—	3	8	no	—
1144	C₂²⋊C₄	—	3	8	no	—
1145	C₂²⋊C₄	—	3	8	no	—
1146	C₂²⋊C₄	—	3	4	no	—
1147	C₂²⋊C₄	—	3	4	no	—
1148	C₂²⋊C₄	—	3	8	no	—
1149	C₂²⋊C₄	—	3	8	no	—
1150	C₂²⋊C₄	—	3	8	no	—
1151	C₂²⋊C₄	—	3	8	no	—
1152	C₂²⋊C₄	—	3	8	no	—
1153	C₂²⋊C₄	—	3	8	no	—
1154	C₂²⋊C₄	—	3	8	no	—
1155	C₂²⋊C₄	—	3	8	no	—
1156	C₂²⋊C₄	—	3	8	no	—
1157	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1158	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1159	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1160	C₂²⋊C₄	C₂³×D₃	1	4	yes	—
1161	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
1162	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
1163	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
1164	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
1165	C₄²	—	3	8	no	—
1166	C₄²	—	3	8	no	—
1167	C₄²	—	3	8	no	—
1168	C₄²	—	3	8	no	—
1169	C₄²	C₂³×D₃	1	8	yes	—
1170	C₄²	C₂³×D₃	1	4	yes	—
1171	C₄²	C₂³×D₃	1	4	yes	—
1172	C₂²×C₃	—	2	2	no	—
1173	C₂²×C₃	—	2	4	no	—
1174	C₂²×C₃	—	2	4	no	—
1175	C₂²×C₃	—	2	8	no	—
1176	C₂²×C₃	—	4	4	no	—
1177	C₂²×C₃	—	8	4	no	—
1178	C₂²×C₃	C₂²×#41	1	4	yes	—
1179	C₂²×C₃	C₂²×#41	1	2	yes	—
1180	C₂²×C₃	C₂⁶	1	1	yes	characteristic
1181	C₂×D₃	—	2	2	no	—
1182	C₂×D₃	—	2	4	no	—
1183	C₂×D₃	—	2	2	no	—
1184	C₂×D₃	—	2	2	no	—
1185	C₂×D₃	—	2	2	no	—
1186	C₂×D₃	—	2	4	no	—
1187	C₂×D₃	—	2	2	no	—
1188	C₂×D₃	—	2	8	no	—
1189	C₂×D₃	—	2	4	no	—
1190	C₂×D₃	—	2	2	no	—
1191	C₂×D₃	—	4	8	no	—
1192	C₂×D₃	—	4	4	no	—
1193	C₂×D₃	—	4	8	no	—
1194	C₂×D₃	—	4	4	no	—
1195	C₂×D₃	—	4	16	no	—
1196	C₂×D₃	—	4	4	no	—
1197	C₂×D₃	—	4	4	no	—
1198	C₂×D₃	—	8	8	no	—
1199	C₂×D₃	—	8	8	no	—
1200	C₂×D₃	—	8	4	no	—
1201	C₂×D₃	C₂²×#41	1	2	yes	—
1202	C₂×D₃	C₂²×#41	1	4	yes	—
1203	C₂×D₃	C₂²×#41	1	2	yes	—
1204	C₃×C₄	—	2	4	no	—
1205	C₃×C₄	—	2	2	no	—
1206	C₃×C₄	—	2	2	no	—
1207	C₃×C₄	—	2	4	no	—
1208	C₃×C₄	—	2	8	no	—
1209	C₃×C₄	—	2	4	no	—
1210	Dic₃	—	2	4	no	—
1211	Dic₃	—	2	4	no	—
1212	Dic₃	—	2	8	no	—
1213	Dic₃	—	2	4	no	—
1214	C₂³	—	2	4	no	—
1215	C₂³	—	3	1	no	—
1216	C₂³	—	3	2	no	—
1217	C₂³	—	3	1	no	—
1218	C₂³	—	3	8	no	—
1219	C₂³	—	3	4	no	—
1220	C₂³	—	3	4	no	—
1221	C₂³	—	3	8	no	—
1222	C₂³	—	3	4	no	—
1223	C₂³	—	3	2	no	—
1224	C₂³	—	3	2	no	—
1225	C₂³	—	4	2	no	—
1226	C₂³	—	4	4	no	—
1227	C₂³	—	6	8	no	—
1228	C₂³	—	6	8	no	—
1229	C₂³	—	6	2	no	—
1230	C₂³	—	6	2	no	—
1231	C₂³	—	6	8	no	—
1232	C₂³	—	6	4	no	—
1233	C₂³	—	12	2	no	—
1234	C₂³	—	12	2	no	—
1235	C₂³	—	12	2	no	—
1236	C₂³	—	12	2	no	—
1237	C₂³	—	12	4	no	—
1238	C₂³	—	12	8	no	—
1239	C₂³	—	12	4	no	—
1240	C₂³	—	12	4	no	—
1241	C₂³	—	12	4	no	—
1242	C₂³	—	12	4	no	—
1243	C₂³	—	12	8	no	—
1244	C₂³	—	24	8	no	—
1245	C₂³	—	24	8	no	—
1246	C₂³	—	24	16	no	—
1247	C₂³	D₃×#41	1	4	yes	—
1248	C₂³	C₂⁴×D₃	1	4	yes	—
1249	C₂³	C₂⁴×D₃	1	2	yes	—
1250	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1251	Q₈	—	4	4	no	—
1252	Q₈	—	12	8	no	—
1253	Q₈	—	12	4	no	—
1254	D₄	—	2	8	no	—
1255	D₄	—	2	8	no	—
1256	D₄	—	4	4	no	—
1257	D₄	—	6	4	no	—
1258	D₄	—	6	4	no	—
1259	D₄	—	6	8	no	—
1260	D₄	—	6	8	no	—
1261	D₄	—	6	4	no	—
1262	D₄	—	6	4	no	—
1263	D₄	—	6	8	no	—
1264	D₄	—	6	8	no	—
1265	D₄	—	6	8	no	—
1266	D₄	—	6	8	no	—
1267	D₄	—	6	8	no	—
1268	D₄	—	6	8	no	—
1269	D₄	—	12	8	no	—
1270	D₄	—	12	8	no	—
1271	D₄	—	12	4	no	—
1272	D₄	—	12	8	no	—
1273	D₄	—	12	8	no	—
1274	D₄	—	12	8	no	—
1275	C₂×C₄	—	2	8	no	—
1276	C₂×C₄	—	2	2	no	—
1277	C₂×C₄	—	2	2	no	—
1278	C₂×C₄	—	2	4	no	—
1279	C₂×C₄	—	3	4	no	—
1280	C₂×C₄	—	3	4	no	—
1281	C₂×C₄	—	3	4	no	—
1282	C₂×C₄	—	3	8	no	—
1283	C₂×C₄	—	4	2	no	—
1284	C₂×C₄	—	4	2	no	—
1285	C₂×C₄	—	4	4	no	—
1286	C₂×C₄	—	4	8	no	—
1287	C₂×C₄	—	6	8	no	—
1288	C₂×C₄	—	6	8	no	—
1289	C₂×C₄	—	6	4	no	—
1290	C₂×C₄	—	12	8	no	—
1291	C₂×C₄	—	12	8	no	—
1292	C₂×C₄	—	12	4	no	—
1293	C₂×C₄	—	12	8	no	—
1294	C₂×C₄	—	12	4	no	—
1295	C₂×C₄	—	12	8	no	—
1296	C₂×C₄	—	12	8	no	—
1297	C₂×C₄	—	12	8	no	—
1298	C₂×C₄	—	12	4	no	—
1299	C₂×C₄	—	12	4	no	—
1300	C₂×C₄	—	12	2	no	—
1301	C₂×C₄	—	12	2	no	—
1302	C₂×C₄	—	12	4	no	—
1303	C₂×C₄	—	12	8	no	—
1304	C₂×C₄	C₂⁴×D₃	1	2	yes	—
1305	C₂×C₄	C₂⁴×D₃	1	4	yes	—
1306	C₂×C₄	C₂⁴×D₃	1	4	yes	—
1307	C₂×C₄	C₂⁴×D₃	1	8	yes	—
1308	C₂×C₄	C₂⁴×D₃	1	2	yes	—
1309	C₂×C₄	C₂⁴×D₃	1	4	yes	—
1310	C₂×C₃	—	2	2	no	—
1311	C₂×C₃	—	2	4	no	—
1312	C₂×C₃	—	4	4	no	—
1313	C₂×C₃	C₂³×#41	1	1	yes	characteristic
1314	C₂×C₃	H(7,𝔽₂)	1	2	yes	—
1315	D₃	—	2	4	no	—
1316	D₃	—	2	2	no	—
1317	D₃	—	2	2	no	—
1318	D₃	—	4	2	no	—
1319	D₃	—	4	2	no	—
1320	D₃	—	4	4	no	—
1321	C₂²	—	2	2	no	—
1322	C₂²	—	2	4	no	—
1323	C₂²	—	2	4	no	—
1324	C₂²	—	2	8	no	—
1325	C₂²	—	3	2	no	—
1326	C₂²	—	3	4	no	—
1327	C₂²	—	3	2	no	—
1328	C₂²	—	4	4	no	—
1329	C₂²	—	6	2	no	—
1330	C₂²	—	6	4	no	—
1331	C₂²	—	6	2	no	—
1332	C₂²	—	6	2	no	—
1333	C₂²	—	6	2	no	—
1334	C₂²	—	6	4	no	—
1335	C₂²	—	6	2	no	—
1336	C₂²	—	6	8	no	—
1337	C₂²	—	6	4	no	—
1338	C₂²	—	6	2	no	—
1339	C₂²	—	8	4	no	—
1340	C₂²	—	12	8	no	—
1341	C₂²	—	12	8	no	—
1342	C₂²	—	12	4	no	—
1343	C₂²	—	12	4	no	—
1344	C₂²	—	12	4	no	—
1345	C₂²	—	12	4	no	—
1346	C₂²	—	12	16	no	—
1347	C₂²	—	24	8	no	—
1348	C₂²	—	24	4	no	—
1349	C₂²	—	24	8	no	—
1350	C₂²	C₂×D₃×#41	1	4	yes	—
1351	C₂²	C₂×D₃×#41	1	2	yes	—
1352	C₂²	C₂⁵×D₃	1	1	yes	characteristic
1353	C₄	—	2	2	no	—
1354	C₄	—	2	2	no	—
1355	C₄	—	2	4	no	—
1356	C₄	—	2	4	no	—
1357	C₄	—	2	8	no	—
1358	C₄	—	2	4	no	—
1359	C₄	—	6	4	no	—
1360	C₄	—	6	4	no	—
1361	C₄	—	6	8	no	—
1362	C₄	—	6	4	no	—
1363	C₃	#62844	1	1	yes	characteristic, complemented, Sylow
1364	C₂	—	2	4	no	—
1365	C₂	—	2	2	no	—
1366	C₂	—	4	4	no	—
1367	C₂	—	6	4	no	—
1368	C₂	—	6	2	no	—
1369	C₂	—	6	2	no	—
1370	C₂	—	12	2	no	—
1371	C₂	—	12	2	no	—
1372	C₂	—	12	4	no	—
1373	C₂	C₂²×D₃×#41	1	1	yes	characteristic
1374	C₂	#87574	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₃
commutator, socle, cosocle	C₂²×C₃	C₂⁶
Fitting	C₃×#3491	C₂
hypercenter	#3491	D₃
hypocenter	C₃	#62844
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ #3491

Complements

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

N	H ≅ G/N	type
1. C₃×#3491	C₂	semidirect
2. #86862	C₂	semidirect
3. #86859	C₂	semidirect
4. #86817	C₂	semidirect
5. #86815	C₂	semidirect
6. #86579	C₂	semidirect
7. D₃×#543	C₂	semidirect
8. #86454	C₂	semidirect
9. #86428	C₂	semidirect
10. #86309	C₂	semidirect
11. D₃×#534	C₂	semidirect
12. #86158	C₂	semidirect
13. #86147	C₂	semidirect
14. C₂×#5653	C₂	semidirect
15. #86001	C₂	semidirect
16. #85868	C₂	semidirect
17. D₃×#518	C₂	semidirect
18. #85745	C₂	semidirect
19. C₂×#5521	C₂	semidirect
23. C₃×#552	C₂²	semidirect
24. C₃×#551	C₂²	semidirect
25. C₃×#543	C₂²	semidirect
26. C₃×#539	C₂²	semidirect
28. C₃×#529	C₂²	semidirect
29. C₂×C₃×#123	C₂²	semidirect
30. C₃×#518	C₂²	semidirect
31. C₂×C₃×#117	C₂²	semidirect
33. C₂×#937	C₂²	semidirect
34. #5798	C₂²	semidirect
35. C₂×#929	C₂²	semidirect
36. C₂×#926	C₂²	semidirect
37. #5709	C₂²	semidirect
38. #5709	C₂²	semidirect
39. #5707	C₂²	semidirect
40. #5706	C₂²	semidirect
41. #5705	C₂²	semidirect
42. #5705	C₂²	semidirect
43. #5704	C₂²	semidirect
44. #5704	C₂²	semidirect
45. #5695	C₂²	semidirect
46. #5695	C₂²	semidirect
47. #5694	C₂²	semidirect
48. #5693	C₂²	semidirect
49. #5692	C₂²	semidirect
50. #5692	C₂²	semidirect
51. #5691	C₂²	semidirect
52. #5678	C₂²	semidirect
53. #5677	C₂²	semidirect
54. #5676	C₂²	semidirect
55. #5665	C₂²	semidirect
56. #5661	C₂²	semidirect
57. #5658	C₂²	semidirect
58. #5658	C₂²	semidirect
59. #5657	C₂²	semidirect
60. #5656	C₂²	semidirect
61. #5654	C₂²	semidirect
63. #5653	C₂²	semidirect
64. #5653	C₂²	semidirect
65. #5653	C₂²	semidirect
66. #5653	C₂²	semidirect
67. #5653	C₂²	semidirect
68. #5653	C₂²	semidirect
69. D₃×#123	C₂²	semidirect
70. #5650	C₂²	semidirect
71. #5649	C₂²	semidirect
72. #5644	C₂²	semidirect
73. #5638	C₂²	semidirect
74. #5637	C₂²	semidirect
75. #5637	C₂²	semidirect
76. #5634	C₂²	semidirect
77. #5634	C₂²	semidirect
78. #5633	C₂²	semidirect
79. #5630	C₂²	semidirect
80. #5627	C₂²	semidirect
81. #5627	C₂²	semidirect
82. D₃×C₂²⋊Q₈	C₂²	semidirect
83. D₃×C₂²⋊Q₈	C₂²	semidirect
84. #5617	C₂²	semidirect
85. #5606	C₂²	semidirect
86. #5605	C₂²	semidirect
87. D₃×#121	C₂²	semidirect
88. #5591	C₂²	semidirect
89. #5589	C₂²	semidirect
90. D₃×#120	C₂²	semidirect
91. #5581	C₂²	semidirect
92. #5580	C₂²	semidirect
93. #5576	C₂²	semidirect
94. #5560	C₂²	semidirect
95. #5558	C₂²	semidirect
96. #5556	C₂²	semidirect
97. #5554	C₂²	semidirect
98. #5550	C₂²	semidirect
99. #5547	C₂²	semidirect
100. #5547	C₂²	semidirect
101. #5545	C₂²	semidirect
102. #5545	C₂²	semidirect
103. C₄×D₃×D₄	C₂²	semidirect
104. C₄×D₃×D₄	C₂²	semidirect
105. #5531	C₂²	semidirect
106. #5530	C₂²	semidirect
107. #5528	C₂²	semidirect
108. #5527	C₂²	semidirect
109. #5527	C₂²	semidirect
110. #5527	C₂²	semidirect
111. #5524	C₂²	semidirect
112. #5521	C₂²	semidirect
113. #5521	C₂²	semidirect
114. #5521	C₂²	semidirect
115. D₃×#117	C₂²	semidirect
116. #5515	C₂²	semidirect
117. #5513	C₂²	semidirect
118. C₂×#895	C₂²	semidirect
119. C₂×#894	C₂²	semidirect
120. C₂×#893	C₂²	semidirect
121. C₂×#893	C₂²	semidirect
122. #5495	C₂²	semidirect
124. #5490	C₂²	semidirect
125. C₂×#884	C₂²	semidirect
126. C₂×#882	C₂²	semidirect
127. C₂×#882	C₂²	semidirect
128. #5486	C₂²	semidirect
129. #5486	C₂²	semidirect
130. #5486	C₂²	semidirect
134. C₂×D₃×C₂²⋊C₄	C₂²	semidirect
135. C₂×D₃×C₂²⋊C₄	C₂²	semidirect
136. C₂×D₃×C₂²⋊C₄	C₂²	semidirect
137. #5483	C₂²	semidirect
138. #5483	C₂²	semidirect
139. #5479	C₂²	semidirect
140. C₂×C₄×D₁₂	C₂²	semidirect
141. C₂×C₄×D₁₂	C₂²	semidirect
149. #3491	D₃	semidirect
168. C₂²×#67	C₂³	semidirect
169. C₂×#239	C₂³	semidirect
170. C₂×D₃×Q₈	C₂³	semidirect
171. C₂×#237	C₂³	semidirect
177. C₂×D₃×D₄	C₂³	semidirect
178. C₂×#235	C₂³	semidirect
187. C₂²×D₁₂	C₂³	semidirect
192. C₂²×C₄×D₃	C₂³	semidirect
193. C₂²×C₄×D₃	C₂³	semidirect
194. C₂²×C₄×D₃	C₂³	semidirect
195. C₃×#126	C₂³	semidirect
196. C₃×#126	C₂³	semidirect
197. C₃×#125	C₂³	semidirect
198. C₃×#125	C₂³	semidirect
199. C₃×#124	C₂³	semidirect
202. C₃×#123	C₂³	semidirect
203. C₃×#123	C₂³	semidirect
204. C₃×#123	C₂³	semidirect
205. C₃×C₂²⋊Q₈	C₂³	semidirect
206. C₃×C₂²⋊Q₈	C₂³	semidirect
207. C₃×C₂²⋊Q₈	C₂³	semidirect
210. C₃×C₄×Q₈	C₂³	semidirect
212. C₃×C₄×D₄	C₂³	semidirect
213. C₃×C₄×D₄	C₂³	semidirect
214. C₃×#117	C₂³	semidirect
215. C₃×#117	C₂³	semidirect
216. C₃×#117	C₂³	semidirect
217. C₂×C₃×C₄⋊C₄	C₂³	semidirect
218. C₂×C₃×C₄⋊C₄	C₂³	semidirect
222. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
223. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
224. C₂×C₃×C₄²	C₂³	semidirect
229. C₂×#217	C₂³	semidirect
230. #947	C₂³	semidirect
231. #946	C₂³	semidirect
232. #946	C₂³	semidirect
233. #946	C₂³	semidirect
235. #939	C₂³	semidirect
236. #938	C₂³	semidirect
237. #938	C₂³	semidirect
240. #937	C₂³	semidirect
241. #937	C₂³	semidirect
242. #937	C₂³	semidirect
245. D₄×Dic₃	C₂³	semidirect
247. #930	C₂³	semidirect
250. #929	C₂³	semidirect
251. #929	C₂³	semidirect
252. #929	C₂³	semidirect
254. C₄×#67	C₂³	semidirect
255. C₄×#67	C₂³	semidirect
256. C₄×#67	C₂³	semidirect
257. C₄×#67	C₂³	semidirect
261. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
262. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
263. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
264. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
265. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
266. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
267. #926	C₂³	semidirect
268. #926	C₂³	semidirect
269. C₂×C₄⋊Dic₃	C₂³	semidirect
270. #924	C₂³	semidirect
271. #924	C₂³	semidirect
272. C₂×Dic₃⋊C₄	C₂³	semidirect
273. C₂×C₄×Dic₃	C₂³	semidirect
274. #898	C₂³	semidirect
275. #898	C₂³	semidirect
276. #898	C₂³	semidirect
277. #898	C₂³	semidirect
278. #898	C₂³	semidirect
279. #898	C₂³	semidirect
280. #897	C₂³	semidirect
281. #897	C₂³	semidirect
282. #897	C₂³	semidirect
283. #897	C₂³	semidirect
284. #896	C₂³	semidirect
285. #896	C₂³	semidirect
286. #896	C₂³	semidirect
287. #896	C₂³	semidirect
288. #896	C₂³	semidirect
291. #895	C₂³	semidirect
292. #895	C₂³	semidirect
293. #895	C₂³	semidirect
294. #895	C₂³	semidirect
295. #895	C₂³	semidirect
298. #894	C₂³	semidirect
299. #894	C₂³	semidirect
300. #894	C₂³	semidirect
301. #894	C₂³	semidirect
302. #894	C₂³	semidirect
303. #894	C₂³	semidirect
304. #894	C₂³	semidirect
305. #894	C₂³	semidirect
307. #893	C₂³	semidirect
308. #893	C₂³	semidirect
309. #893	C₂³	semidirect
310. #893	C₂³	semidirect
311. #893	C₂³	semidirect
312. #893	C₂³	semidirect
313. #892	C₂³	semidirect
314. #892	C₂³	semidirect
315. #892	C₂³	semidirect
316. #892	C₂³	semidirect
317. D₃×C₄⋊C₄	C₂³	semidirect
318. D₃×C₄⋊C₄	C₂³	semidirect
319. D₃×C₄⋊C₄	C₂³	semidirect
320. D₃×C₄⋊C₄	C₂³	semidirect
321. #890	C₂³	semidirect
322. #889	C₂³	semidirect
323. #889	C₂³	semidirect
324. #889	C₂³	semidirect
325. #887	C₂³	semidirect
327. #886	C₂³	semidirect
328. #886	C₂³	semidirect
329. #885	C₂³	semidirect
330. #885	C₂³	semidirect
331. #885	C₂³	semidirect
334. #884	C₂³	semidirect
335. #884	C₂³	semidirect
336. #884	C₂³	semidirect
337. #884	C₂³	semidirect
338. #884	C₂³	semidirect
339. #883	C₂³	semidirect
340. #883	C₂³	semidirect
341. #883	C₂³	semidirect
342. #883	C₂³	semidirect
347. #882	C₂³	semidirect
348. #882	C₂³	semidirect
349. #882	C₂³	semidirect
350. #882	C₂³	semidirect
351. #882	C₂³	semidirect
353. #67⋊C₄	C₂³	semidirect
354. #67⋊C₄	C₂³	semidirect
355. #67⋊C₄	C₂³	semidirect
356. #67⋊C₄	C₂³	semidirect
357. #67⋊C₄	C₂³	semidirect
366. D₃×C₂²⋊C₄	C₂³	semidirect
367. D₃×C₂²⋊C₄	C₂³	semidirect
368. D₃×C₂²⋊C₄	C₂³	semidirect
369. D₃×C₂²⋊C₄	C₂³	semidirect
370. D₃×C₂²⋊C₄	C₂³	semidirect
371. D₃×C₂²⋊C₄	C₂³	semidirect
372. D₃×C₂²⋊C₄	C₂³	semidirect
373. #879	C₂³	semidirect
374. #879	C₂³	semidirect
375. #878	C₂³	semidirect
376. #878	C₂³	semidirect
377. #878	C₂³	semidirect
378. #878	C₂³	semidirect
379. #877	C₂³	semidirect
380. #877	C₂³	semidirect
381. #877	C₂³	semidirect
382. #876	C₂³	semidirect
383. #876	C₂³	semidirect
384. #875	C₂³	semidirect
385. #875	C₂³	semidirect
388. C₄×D₁₂	C₂³	semidirect
389. C₄×D₁₂	C₂³	semidirect
390. C₄×D₁₂	C₂³	semidirect
391. C₄×D₁₂	C₂³	semidirect
392. C₄×D₁₂	C₂³	semidirect
393. C₄×D₁₂	C₂³	semidirect
394. C₄×D₁₂	C₂³	semidirect
395. C₄×D₁₂	C₂³	semidirect
396. #872	C₂³	semidirect
397. #872	C₂³	semidirect
398. #872	C₂³	semidirect
399. C₄²×D₃	C₂³	semidirect
400. #870	C₂³	semidirect
401. C₄×Dic₆	C₂³	semidirect
417. #552	C₂×D₃	semidirect
429. #551	C₂×D₃	semidirect
444. #543	C₂×D₃	semidirect
451. #539	C₂×D₃	semidirect
477. #529	C₂×D₃	semidirect
488. C₂×#123	C₂×D₃	semidirect
507. #518	C₂×D₃	semidirect
516. C₂×#117	C₂×D₃	semidirect
530. C₂³×D₃	#41	semidirect
723. #126	C₂²×D₃	semidirect
724. #126	C₂²×D₃	semidirect
730. #125	C₂²×D₃	semidirect
731. #125	C₂²×D₃	semidirect
738. #124	C₂²×D₃	semidirect
764. #123	C₂²×D₃	semidirect
765. #123	C₂²×D₃	semidirect
766. #123	C₂²×D₃	semidirect
785. C₂²⋊Q₈	C₂²×D₃	semidirect
786. C₂²⋊Q₈	C₂²×D₃	semidirect
787. C₂²⋊Q₈	C₂²×D₃	semidirect
827. C₄×Q₈	C₂²×D₃	semidirect
859. C₄×D₄	C₂²×D₃	semidirect
860. C₄×D₄	C₂²×D₃	semidirect
873. #117	C₂²×D₃	semidirect
874. #117	C₂²×D₃	semidirect
875. #117	C₂²×D₃	semidirect
882. C₂×C₄⋊C₄	C₂²×D₃	semidirect
883. C₂×C₄⋊C₄	C₂²×D₃	semidirect
915. C₂×C₂²⋊C₄	C₂²×D₃	semidirect
916. C₂×C₂²⋊C₄	C₂²×D₃	semidirect
919. C₂×C₄²	C₂²×D₃	semidirect
1363. C₃	#62844	semidirect

Maximal subgroups

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

subgroup	index
C₃×#3491	2
#86862	2
#86859	2
#86817	2
#86815	2
#86579	2
D₃×#543	2
#86454	2
#86428	2
#86309	2
D₃×#534	2
#86158	2
#86147	2
C₂×#5653	2
#86001	2
#85868	2
D₃×#518	2
#85745	2
C₂×#5521	2
#62844	3