Subgroups — C₃×#86700 #11904371

Order 1152.

3266 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#1009	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃×D₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃²×#547	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#5829	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5824	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5726	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#5724	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#5655	C₂	1	2	yes	maximal, complemented
9	C₃×#5654	C₂	1	2	yes	maximal, complemented
10	C₃×#5653	C₂	1	2	yes	maximal, complemented
11	C₃×D₃×#123	C₂	1	2	yes	maximal, complemented
12	C₃×#5631	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#5630	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#5628	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#5627	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#5610	C₂	1	2	yes	maximal, complemented
17	C₃×#5605	C₂	1	2	yes	maximal, complemented
18	C₃×#5554	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#5550	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#5547	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#5545	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#5507	C₂	1	2	yes	maximal, complemented
23	C₂×C₃×#894	C₂	1	2	yes	maximal, complemented
24	C₃×#3485	—	3	1	no	maximal
25	#86700	C₃	1	1	yes	maximal, characteristic, direct product factor
26	C₂×C₃²×#41	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₃²×#41	C₂²	1	1	yes	characteristic, complemented
28	C₃×#1009	—	2	8	no	—
29	C₃×D₃×#41	—	2	8	no	—
30	C₂×C₃×#239	C₂²	1	1	yes	characteristic
31	C₂×C₃×#239	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₃×#239	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₃×D₃×Q₈	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₃×#237	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₃×#237	C₂²	1	2	yes	complemented
36	C₂×C₃×D₃×D₄	C₂²	1	2	yes	—
37	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic
38	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
40	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
41	C₂×C₃×#235	C₂²	1	1	yes	characteristic
42	C₂×C₃×#235	C₂²	1	2	yes	complemented
43	C₂×C₃×#235	C₂²	1	2	yes	complemented
44	C₂×C₃×#235	C₂²	1	1	yes	characteristic, complemented
45	C₂²×C₃×D₁₂	C₂²	1	2	yes	—
46	C₂²×C₃×D₁₂	C₂²	1	1	yes	characteristic, complemented
47	C₂²×C₃×C₄×D₃	C₂²	1	2	yes	complemented
48	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic, complemented
49	C₃²×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
50	C₃²×#123	C₂²	1	2	yes	complemented
51	C₃²×#123	C₂²	1	2	yes	complemented
52	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
53	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	C₃²×#121	C₂²	1	2	yes	complemented
55	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
56	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₃²×C₄⋊C₄	C₂²	1	2	yes	complemented
58	C₃×#947	C₂²	1	1	yes	characteristic, complemented
59	C₃×#946	C₂²	1	1	yes	characteristic, complemented
60	C₃×#946	C₂²	1	1	yes	characteristic, complemented
61	C₃×#944	C₂²	1	1	yes	characteristic, complemented
62	C₃×#939	C₂²	1	1	yes	characteristic, complemented
63	C₃×#939	C₂²	1	2	yes	complemented
64	C₃×#939	C₂²	1	2	yes	complemented
65	C₃×#937	C₂²	1	1	yes	characteristic, complemented
66	C₃×#937	C₂²	1	2	yes	complemented
67	C₃×#937	C₂²	1	2	yes	complemented
68	C₃×#935	C₂²	1	2	yes	complemented
69	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
70	C₃×#930	C₂²	1	2	yes	complemented
71	C₃×#930	C₂²	1	1	yes	characteristic, complemented
72	C₃×#929	C₂²	1	2	yes	complemented
73	C₃×#929	C₂²	1	2	yes	complemented
74	C₃×C₄×#67	C₂²	1	2	yes	complemented
75	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
76	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	complemented
78	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	complemented
79	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	complemented
80	C₃×#924	C₂²	1	1	yes	characteristic, complemented
81	C₂×C₃×Dic₃⋊C₄	C₂²	1	2	yes	complemented
82	C₃×#897	C₂²	1	1	yes	characteristic, complemented
83	C₃×#896	C₂²	1	1	yes	characteristic, complemented
84	C₃×#896	C₂²	1	2	yes	complemented
85	C₃×#896	C₂²	1	2	yes	complemented
86	C₃×#895	C₂²	1	2	yes	complemented
87	C₃×#895	C₂²	1	1	yes	characteristic, complemented
88	C₃×#895	C₂²	1	2	yes	complemented
89	C₃×#894	C₂²	1	1	yes	characteristic, complemented
90	C₃×#894	C₂²	1	2	yes	complemented
91	C₃×#894	C₂²	1	2	yes	complemented
92	C₃×#894	C₂²	1	2	yes	complemented
93	C₃×#894	C₂²	1	2	yes	complemented
94	C₃×#894	C₂²	1	2	yes	complemented
95	C₃×#894	C₂²	1	2	yes	complemented
96	C₃×#894	C₂²	1	2	yes	complemented
97	C₃×#894	C₂²	1	2	yes	complemented
98	C₃×#894	C₂²	1	2	yes	complemented
99	C₃×#893	C₂²	1	2	yes	complemented
100	C₃×#893	C₂²	1	1	yes	characteristic, complemented
101	C₃×#892	C₂²	1	1	yes	characteristic, complemented
102	C₃×D₃×C₄⋊C₄	C₂²	1	2	yes	complemented
103	C₃×D₃×C₄⋊C₄	C₂²	1	2	yes	complemented
104	C₃×#888	C₂²	1	2	yes	complemented
105	C₃×#886	C₂²	1	2	yes	complemented
106	C₃×#885	C₂²	1	2	yes	complemented
107	C₃×#884	C₂²	1	1	yes	characteristic, complemented
108	C₃×#884	C₂²	1	2	yes	complemented
109	C₃×#884	C₂²	1	2	yes	complemented
110	C₃×#883	C₂²	1	1	yes	characteristic, complemented
111	C₃×#883	C₂²	1	2	yes	complemented
112	C₃×#883	C₂²	1	2	yes	complemented
113	C₃×#882	C₂²	1	1	yes	characteristic, complemented
114	C₃×#882	C₂²	1	2	yes	complemented
115	C₃×#882	C₂²	1	2	yes	complemented
116	C₃×#882	C₂²	1	2	yes	complemented
117	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
118	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
119	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
120	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
121	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
122	C₃×#878	C₂²	1	1	yes	characteristic, complemented
123	C₃×#875	C₂²	1	1	yes	characteristic, complemented
124	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
125	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
126	C₃×#872	C₂²	1	1	yes	characteristic, complemented
127	C₂×C₃×H(5,𝔽₂)	—	3	1	no	—
128	C₂²×C₃×#41	—	3	1	no	—
129	C₂×#1009	C₂×C₃	1	1	yes	characteristic, complemented
130	C₂×D₃×#41	C₂×C₃	1	1	yes	characteristic, complemented
131	C₃×#547	—	2	1	no	—
132	C₃×#547	—	3	1	no	—
133	C₃×#547	—	3	1	no	—
134	C₃×#547	—	3	2	no	—
135	C₃×#547	—	3	1	no	—
136	C₃×#547	—	3	2	no	—
137	C₃×#547	D₃	1	1	yes	characteristic, complemented
138	C₃×#547	C₂×C₃	1	1	yes	characteristic, complemented
139	C₃×#546	—	3	1	no	—
140	C₃×#546	—	3	2	no	—
141	C₃×#546	—	3	1	no	—
142	C₃×#546	—	3	2	no	—
143	C₃×#546	—	3	1	no	—
144	C₃×#546	—	3	1	no	—
145	C₃×#536	—	3	1	no	—
146	C₃×#536	—	3	1	no	—
147	C₃×#534	—	3	2	no	—
148	C₃×#534	—	3	2	no	—
149	C₃×#525	—	3	1	no	—
150	C₃×#525	—	3	1	no	—
151	C₂×C₃×#123	—	3	2	no	—
152	C₂×C₃×#123	—	3	2	no	—
153	C₃×#518	—	3	1	no	—
154	#5829	C₂×C₃	1	1	yes	characteristic, complemented
155	#5824	C₂×C₃	1	1	yes	characteristic, complemented
156	#5726	C₂×C₃	1	1	yes	characteristic, complemented
157	#5724	C₂×C₃	1	1	yes	characteristic, complemented
158	#5655	C₂×C₃	1	2	yes	complemented
159	#5654	C₂×C₃	1	2	yes	complemented
160	#5653	C₂×C₃	1	2	yes	complemented
161	D₃×#123	C₂×C₃	1	2	yes	complemented
162	#5631	C₂×C₃	1	1	yes	characteristic, complemented
163	#5630	C₂×C₃	1	1	yes	characteristic, complemented
164	#5628	C₂×C₃	1	1	yes	characteristic, complemented
165	#5627	C₂×C₃	1	1	yes	characteristic, complemented
166	#5610	C₂×C₃	1	2	yes	complemented
167	#5605	C₂×C₃	1	2	yes	complemented
168	#5554	C₂×C₃	1	1	yes	characteristic, complemented
169	#5550	C₂×C₃	1	1	yes	characteristic, complemented
170	#5547	C₂×C₃	1	1	yes	characteristic, complemented
171	#5545	C₂×C₃	1	1	yes	characteristic, complemented
172	#5507	C₂×C₃	1	2	yes	complemented
173	C₂×#894	C₂×C₃	1	2	yes	complemented
174	C₂³×C₃×D₃	C₂³	1	2	yes	—
175	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
176	C₂³×C₃×D₃	C₂³	1	2	yes	—
177	C₂³×C₃×D₃	C₂³	1	2	yes	—
178	C₃²×#41	—	2	4	no	—
179	C₃²×#41	—	2	4	no	—
180	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
181	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
182	C₂×C₃²×D₄	C₂³	1	2	yes	—
183	C₂×C₃²×D₄	C₂³	1	2	yes	—
184	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
185	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
186	C₂²×C₃²×C₄	C₂³	1	2	yes	—
187	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
188	C₂²×C₃²×C₄	C₂³	1	2	yes	—
189	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
190	C₂²×C₃²×C₄	C₂³	1	2	yes	—
191	C₂×C₃×#67	C₂³	1	2	yes	—
192	C₂×C₃×#67	C₂³	1	1	yes	characteristic
193	C₂×C₃×#67	C₂³	1	2	yes	—
194	C₂×C₃×#67	C₂³	1	1	yes	characteristic
195	C₂×C₃×#67	C₂³	1	2	yes	—
196	C₂×C₃×#67	C₂³	1	2	yes	—
197	C₂×C₃×#67	C₂³	1	1	yes	characteristic
198	C₂×C₃×#67	C₂³	1	1	yes	characteristic
199	C₂×C₃×#67	C₂³	1	2	yes	—
200	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
201	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
202	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
203	C₃×#239	—	2	4	no	—
204	C₃×#239	—	2	4	no	—
205	C₃×#239	—	2	4	no	—
206	C₃×D₃×Q₈	—	2	4	no	—
207	C₃×#237	—	2	4	no	—
208	C₃×#237	—	2	8	no	—
209	C₃×D₃×D₄	—	2	8	no	—
210	C₃×D₃×D₄	—	2	8	no	—
211	C₃×D₃×D₄	—	2	4	no	—
212	C₃×D₃×D₄	—	2	8	no	—
213	C₃×D₃×D₄	D₄	1	8	yes	complemented
214	C₃×#235	—	2	8	no	—
215	C₃×#235	—	2	8	no	—
216	C₃×#235	—	2	4	no	—
217	C₃×#235	—	2	4	no	—
218	C₂×C₃×D₁₂	—	2	8	no	—
219	C₂×C₃×D₁₂	—	2	4	no	—
220	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
221	C₂×C₃×D₁₂	C₂³	1	2	yes	—
222	C₂×C₃×D₁₂	C₂³	1	2	yes	—
223	C₂×C₃×D₁₂	C₂³	1	2	yes	—
224	C₂×C₃×D₁₂	C₂³	1	2	yes	—
225	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
226	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
227	C₂×C₃×D₁₂	C₂³	1	2	yes	—
228	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
229	C₂×C₃×C₄×D₃	—	2	8	no	—
230	C₂×C₃×C₄×D₃	—	2	4	no	—
231	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
232	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
233	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
234	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
235	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
236	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
237	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
238	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
239	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
240	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
241	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
242	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
243	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
244	C₂×C₃×Dic₆	C₂³	1	2	yes	—
245	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
246	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
247	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
248	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
249	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
252	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
253	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
254	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
255	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
256	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
257	C₃²×C₄²	C₂³	1	1	yes	characteristic
258	C₃×#217	C₂³	1	1	yes	characteristic
259	C₃×#217	C₂³	1	1	yes	characteristic
260	C₃×#217	C₂³	1	2	yes	—
261	C₃×#217	C₂³	1	2	yes	—
262	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
263	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
264	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
265	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
266	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
267	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
268	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
269	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
270	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
271	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
272	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
273	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
274	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
275	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
276	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
277	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
278	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
279	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
280	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
281	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
282	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
283	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
284	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
285	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
286	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
287	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
288	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
289	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
290	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
291	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
292	C₃×C₄×Dic₃	C₂³	1	2	yes	—
293	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
294	#3485	—	3	1	no	Sylow
295	C₃×H(5,𝔽₂)	—	6	8	no	—
296	C₂×C₃×#41	—	2	1	no	—
297	C₂×C₃×#41	—	2	1	no	—
298	C₂×C₃×#41	—	3	1	no	—
299	C₂×C₃×#41	—	3	1	no	—
300	C₂×C₃×#41	—	3	1	no	—
301	C₂×C₃×#41	—	3	1	no	—
302	C₂×C₃×#41	—	3	2	no	—
303	C₂×C₃×#41	—	3	1	no	—
304	C₂×C₃×#41	—	3	2	no	—
305	C₂×C₃×#41	—	3	1	no	—
306	C₂×C₃×#41	—	3	2	no	—
307	C₂×C₃×#41	—	6	8	no	—
308	C₂×C₃×#41	C₂×D₃	1	1	yes	characteristic, complemented
309	C₂×C₃×#41	C₂×D₃	1	1	yes	characteristic, complemented
310	C₂×C₃×#41	C₂²×C₃	1	1	yes	characteristic, complemented
311	C₂×C₃×#41	C₂²×C₃	1	1	yes	characteristic, complemented
312	C₂²×C₃×Q₈	—	3	1	no	—
313	C₂²×C₃×D₄	—	3	1	no	—
314	C₂²×C₃×D₄	—	3	2	no	—
315	C₂²×C₃×D₄	—	3	2	no	—
316	C₂²×C₃×D₄	—	3	2	no	—
317	C₂²×C₃×D₄	—	3	1	no	—
318	C₂²×C₃×D₄	—	3	2	no	—
319	C₂²×C₃×D₄	—	3	1	no	—
320	C₂³×C₃×C₄	—	3	2	no	—
321	C₂³×C₃×C₄	—	3	1	no	—
322	#1009	—	2	8	no	—
323	D₃×#41	—	2	8	no	—
324	C₂×#239	C₂²×C₃	1	1	yes	characteristic
325	C₂×#239	C₂²×C₃	1	1	yes	characteristic, complemented
326	C₂×#239	C₂²×C₃	1	1	yes	characteristic, complemented
327	C₂×D₃×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
328	C₂×#237	C₂²×C₃	1	2	yes	complemented
329	C₂×#237	C₂²×C₃	1	1	yes	characteristic, complemented
330	C₂×D₃×D₄	C₂²×C₃	1	2	yes	—
331	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic
332	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
333	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
334	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
335	C₂×#235	C₂²×C₃	1	1	yes	characteristic
336	C₂×#235	C₂²×C₃	1	2	yes	complemented
337	C₂×#235	C₂²×C₃	1	2	yes	complemented
338	C₂×#235	C₂²×C₃	1	1	yes	characteristic, complemented
339	C₂²×D₁₂	C₂²×C₃	1	2	yes	—
340	C₂²×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
341	C₂²×C₄×D₃	C₂²×C₃	1	2	yes	complemented
342	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
343	C₃×C₄⋊Q₈	—	2	1	no	—
344	C₃×C₄⋊Q₈	—	3	1	no	—
345	C₃×C₄⋊Q₈	—	3	2	no	—
346	C₃×C₄⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
347	C₃×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
348	C₃×#124	—	3	1	no	—
349	C₃×#124	—	3	2	no	—
350	C₃×#124	—	3	1	no	—
351	C₃×#123	—	2	2	no	—
352	C₃×#123	—	2	2	no	—
353	C₃×#123	—	3	2	no	—
354	C₃×#123	—	3	2	no	—
355	C₃×#123	—	3	2	no	—
356	C₃×#123	—	3	2	no	—
357	C₃×#123	—	3	1	no	—
358	C₃×#123	—	3	2	no	—
359	C₃×#123	—	3	2	no	—
360	C₃×#123	—	3	2	no	—
361	C₃×#123	—	3	2	no	—
362	C₃×#123	—	3	2	no	—
363	C₃×#123	—	3	2	no	—
364	C₃×#123	—	3	2	no	—
365	C₃×#123	—	3	2	no	—
366	C₃×#123	—	3	1	no	—
367	C₃×#123	—	3	2	no	—
368	C₃×#123	—	3	2	no	—
369	C₃×#123	—	3	2	no	—
370	C₃×#123	C₂×D₃	1	2	yes	complemented
371	C₃×#123	C₂×D₃	1	2	yes	complemented
372	C₃×#123	C₂²×C₃	1	2	yes	complemented
373	C₃×#123	C₂²×C₃	1	2	yes	complemented
374	C₃×C₂²⋊Q₈	—	2	1	no	—
375	C₃×C₂²⋊Q₈	—	2	1	no	—
376	C₃×C₂²⋊Q₈	—	3	1	no	—
377	C₃×C₂²⋊Q₈	—	3	1	no	—
378	C₃×C₂²⋊Q₈	—	3	1	no	—
379	C₃×C₂²⋊Q₈	—	3	1	no	—
380	C₃×C₂²⋊Q₈	—	3	2	no	—
381	C₃×C₂²⋊Q₈	—	3	2	no	—
382	C₃×C₂²⋊Q₈	—	3	1	no	—
383	C₃×C₂²⋊Q₈	—	3	1	no	—
384	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
385	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
386	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
387	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
388	C₃×#121	—	2	2	no	—
389	C₃×#121	—	3	1	no	—
390	C₃×#121	—	3	2	no	—
391	C₃×#121	—	3	2	no	—
392	C₃×#121	—	3	1	no	—
393	C₃×#121	—	3	2	no	—
394	C₃×#121	—	3	1	no	—
395	C₃×#121	—	3	2	no	—
396	C₃×#121	—	3	2	no	—
397	C₃×#121	—	3	1	no	—
398	C₃×#121	—	3	2	no	—
399	C₃×#121	—	3	2	no	—
400	C₃×#121	C₂×D₃	1	2	yes	complemented
401	C₃×#121	C₂²×C₃	1	2	yes	complemented
402	C₃×#120	—	3	1	no	—
403	C₃×#120	—	3	2	no	—
404	C₃×#120	—	3	2	no	—
405	C₃×#120	—	3	2	no	—
406	C₃×#120	—	3	1	no	—
407	C₃×#120	—	3	2	no	—
408	C₃×#120	—	3	2	no	—
409	C₃×C₄×D₄	—	2	1	no	—
410	C₃×C₄×D₄	—	2	1	no	—
411	C₃×C₄×D₄	—	3	1	no	—
412	C₃×C₄×D₄	—	3	2	no	—
413	C₃×C₄×D₄	—	3	1	no	—
414	C₃×C₄×D₄	—	3	1	no	—
415	C₃×C₄×D₄	—	3	1	no	—
416	C₃×C₄×D₄	—	3	2	no	—
417	C₃×C₄×D₄	—	3	2	no	—
418	C₃×C₄×D₄	—	3	2	no	—
419	C₃×C₄×D₄	—	3	1	no	—
420	C₃×C₄×D₄	—	3	1	no	—
421	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
422	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
423	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
424	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
425	C₃×#117	—	3	1	no	—
426	C₃×#117	—	3	1	no	—
427	C₂×C₃×C₄⋊C₄	—	2	2	no	—
428	C₂×C₃×C₄⋊C₄	—	3	2	no	—
429	C₂×C₃×C₄⋊C₄	—	3	2	no	—
430	C₂×C₃×C₄⋊C₄	—	3	2	no	—
431	C₂×C₃×C₄⋊C₄	C₂×D₃	1	2	yes	complemented
432	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
433	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
434	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
435	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
436	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
437	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
438	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
439	#947	C₂²×C₃	1	1	yes	characteristic, complemented
440	#946	C₂²×C₃	1	1	yes	characteristic, complemented
441	#946	C₂²×C₃	1	1	yes	characteristic, complemented
442	#944	C₂²×C₃	1	1	yes	characteristic, complemented
443	#939	C₂²×C₃	1	2	yes	complemented
444	#939	C₂²×C₃	1	2	yes	complemented
445	#939	C₂²×C₃	1	1	yes	characteristic, complemented
446	#937	C₂²×C₃	1	2	yes	complemented
447	#937	C₂²×C₃	1	1	yes	characteristic, complemented
448	#937	C₂²×C₃	1	2	yes	complemented
449	#935	C₂²×C₃	1	2	yes	complemented
450	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
451	#930	C₂²×C₃	1	2	yes	complemented
452	#930	C₂²×C₃	1	1	yes	characteristic, complemented
453	#929	C₂²×C₃	1	2	yes	complemented
454	#929	C₂²×C₃	1	2	yes	complemented
455	C₄×#67	C₂²×C₃	1	2	yes	complemented
456	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
457	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
458	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	complemented
459	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	complemented
460	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	complemented
461	#924	C₂²×C₃	1	1	yes	characteristic, complemented
462	C₂×Dic₃⋊C₄	C₂²×C₃	1	2	yes	complemented
463	#897	C₂²×C₃	1	1	yes	characteristic, complemented
464	#896	C₂²×C₃	1	2	yes	complemented
465	#896	C₂²×C₃	1	2	yes	complemented
466	#896	C₂²×C₃	1	1	yes	characteristic, complemented
467	#895	C₂²×C₃	1	2	yes	complemented
468	#895	C₂²×C₃	1	2	yes	complemented
469	#895	C₂²×C₃	1	1	yes	characteristic, complemented
470	#894	C₂²×C₃	1	2	yes	complemented
471	#894	C₂²×C₃	1	2	yes	complemented
472	#894	C₂²×C₃	1	2	yes	complemented
473	#894	C₂²×C₃	1	2	yes	complemented
474	#894	C₂²×C₃	1	2	yes	complemented
475	#894	C₂²×C₃	1	2	yes	complemented
476	#894	C₂²×C₃	1	2	yes	complemented
477	#894	C₂²×C₃	1	2	yes	complemented
478	#894	C₂²×C₃	1	1	yes	characteristic, complemented
479	#894	C₂²×C₃	1	2	yes	complemented
480	#893	C₂²×C₃	1	2	yes	complemented
481	#893	C₂²×C₃	1	1	yes	characteristic, complemented
482	#892	C₂²×C₃	1	1	yes	characteristic, complemented
483	D₃×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
484	D₃×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
485	#888	C₂²×C₃	1	2	yes	complemented
486	#886	C₂²×C₃	1	2	yes	complemented
487	#885	C₂²×C₃	1	2	yes	complemented
488	#884	C₂²×C₃	1	2	yes	complemented
489	#884	C₂²×C₃	1	2	yes	complemented
490	#884	C₂²×C₃	1	1	yes	characteristic, complemented
491	#883	C₂²×C₃	1	1	yes	characteristic, complemented
492	#883	C₂²×C₃	1	2	yes	complemented
493	#883	C₂²×C₃	1	2	yes	complemented
494	#882	C₂²×C₃	1	1	yes	characteristic, complemented
495	#882	C₂²×C₃	1	2	yes	complemented
496	#882	C₂²×C₃	1	2	yes	complemented
497	#882	C₂²×C₃	1	2	yes	complemented
498	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
499	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
500	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
501	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
502	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
503	#878	C₂²×C₃	1	1	yes	characteristic, complemented
504	#875	C₂²×C₃	1	1	yes	characteristic, complemented
505	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
506	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
507	#872	C₂²×C₃	1	1	yes	characteristic, complemented
508	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
509	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
510	C₂³×C₃²	C₂⁴	1	2	yes	—
511	C₂²×C₃×D₃	—	2	4	no	—
512	C₂²×C₃×D₃	—	2	2	no	—
513	C₂²×C₃×D₃	—	2	4	no	—
514	C₂²×C₃×D₃	—	4	2	no	—
515	C₂²×C₃×D₃	—	4	2	no	—
516	C₂²×C₃×D₃	—	4	1	no	—
517	C₂²×C₃×D₃	—	4	1	no	—
518	C₂²×C₃×D₃	—	4	2	no	—
519	C₂²×C₃×D₃	—	4	2	no	—
520	C₂²×C₃×D₃	—	4	2	no	—
521	C₂²×C₃×D₃	—	4	2	no	—
522	C₂²×C₃×D₃	C₂×D₄	1	8	yes	—
523	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
524	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
525	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
526	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
527	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
528	C₃²×Q₈	—	2	2	no	—
529	C₃²×Q₈	—	2	2	no	—
530	C₃²×D₄	—	2	4	no	—
531	C₃²×D₄	—	2	4	no	—
532	C₃²×D₄	—	4	1	no	—
533	C₃²×D₄	C₂×D₄	1	4	yes	—
534	C₂×C₃²×C₄	—	2	4	no	—
535	C₂×C₃²×C₄	—	2	4	no	—
536	C₂×C₃²×C₄	—	2	2	no	—
537	C₂×C₃²×C₄	—	2	2	no	—
538	C₂×C₃²×C₄	—	4	2	no	—
539	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
540	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
541	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
542	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
543	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
544	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
545	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
546	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
547	C₃×#67	—	2	4	no	—
548	C₃×#67	—	2	4	no	—
549	C₃×#67	—	2	2	no	—
550	C₃×#67	—	2	4	no	—
551	C₃×#67	—	2	2	no	—
552	C₃×#67	—	4	1	no	—
553	C₃×#67	—	4	2	no	—
554	C₃×#67	—	4	1	no	—
555	C₃×#67	C₂×D₄	1	8	yes	—
556	C₂×C₃×Dic₃	—	2	4	no	—
557	C₂×C₃×Dic₃	—	2	2	no	—
558	C₂×C₃×Dic₃	—	4	2	no	—
559	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
560	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
561	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
562	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
563	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
564	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
565	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
566	C₃×D₁₂	—	2	2	no	—
567	C₃×D₁₂	—	2	4	no	—
568	C₃×D₁₂	—	2	4	no	—
569	C₃×D₁₂	—	2	4	no	—
570	C₃×D₁₂	—	2	4	no	—
571	C₃×D₁₂	—	2	2	no	—
572	C₃×D₁₂	—	4	1	no	—
573	C₃×D₁₂	—	4	2	no	—
574	C₃×D₁₂	C₂×D₄	1	4	yes	—
575	C₃×C₄×D₃	—	2	2	no	—
576	C₃×C₄×D₃	—	2	4	no	—
577	C₃×C₄×D₃	—	2	4	no	—
578	C₃×C₄×D₃	—	2	4	no	—
579	C₃×C₄×D₃	—	2	4	no	—
580	C₃×C₄×D₃	—	2	2	no	—
581	C₃×C₄×D₃	—	2	2	no	—
582	C₃×C₄×D₃	—	2	2	no	—
583	C₃×C₄×D₃	—	2	4	no	—
584	C₃×C₄×D₃	—	4	2	no	—
585	C₃×C₄×D₃	—	4	2	no	—
586	C₃×C₄×D₃	C₂×D₄	1	4	yes	—
587	C₃×Dic₆	—	2	2	no	—
588	C₃×Dic₆	—	2	2	no	—
589	C₃×Dic₆	—	2	4	no	—
590	C₂×H(5,𝔽₂)	—	3	1	no	—
591	C₂²×#41	—	3	1	no	—
592	#547	—	3	1	no	—
593	#547	—	3	1	no	—
594	#547	—	3	2	no	—
595	#547	—	3	1	no	—
596	#547	—	3	2	no	—
597	#547	C₃×D₃	1	1	yes	characteristic, complemented
598	#546	—	3	1	no	—
599	#546	—	3	2	no	—
600	#546	—	3	1	no	—
601	#546	—	3	2	no	—
602	#546	—	3	1	no	—
603	#546	—	3	1	no	—
604	#536	—	3	1	no	—
605	#536	—	3	1	no	—
606	#534	—	3	2	no	—
607	#534	—	3	2	no	—
608	#525	—	3	1	no	—
609	#525	—	3	1	no	—
610	C₂×#123	—	3	2	no	—
611	C₂×#123	—	3	2	no	—
612	#518	—	3	1	no	—
613	C₂⁴×C₃	—	3	2	no	—
614	C₂⁴×C₃	—	3	2	no	—
615	C₂⁴×C₃	—	3	2	no	—
616	C₂⁴×C₃	—	3	1	no	—
617	C₂³×D₃	C₂³×C₃	1	2	yes	—
618	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
619	C₂³×D₃	C₂³×C₃	1	2	yes	—
620	C₂³×D₃	C₂³×C₃	1	2	yes	—
621	C₃×#41	—	2	4	no	—
622	C₃×#41	—	2	4	no	—
623	C₃×#41	—	2	4	no	—
624	C₃×#41	—	2	4	no	—
625	C₃×#41	—	4	4	no	—
626	C₃×#41	—	4	4	no	—
627	C₃×#41	—	6	4	no	—
628	C₃×#41	—	6	8	no	—
629	C₃×#41	—	6	4	no	—
630	C₃×#41	—	6	8	no	—
631	C₃×#41	—	6	4	no	—
632	C₃×#41	—	6	8	no	—
633	C₃×#41	—	6	4	no	—
634	C₃×#41	—	6	4	no	—
635	C₃×#41	—	6	4	no	—
636	C₂×C₃×Q₈	—	2	1	no	—
637	C₂×C₃×Q₈	—	2	1	no	—
638	C₂×C₃×Q₈	—	3	2	no	—
639	C₂×C₃×Q₈	—	3	1	no	—
640	C₂×C₃×Q₈	—	3	1	no	—
641	C₂×C₃×Q₈	—	6	4	no	—
642	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
643	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
644	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic
645	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic
646	C₂×C₃×D₄	—	2	1	no	—
647	C₂×C₃×D₄	—	2	1	no	—
648	C₂×C₃×D₄	—	2	2	no	—
649	C₂×C₃×D₄	—	2	2	no	—
650	C₂×C₃×D₄	—	3	2	no	—
651	C₂×C₃×D₄	—	3	8	no	—
652	C₂×C₃×D₄	—	3	2	no	—
653	C₂×C₃×D₄	—	3	2	no	—
654	C₂×C₃×D₄	—	3	1	no	—
655	C₂×C₃×D₄	—	3	2	no	—
656	C₂×C₃×D₄	—	3	1	no	—
657	C₂×C₃×D₄	—	3	1	no	—
658	C₂×C₃×D₄	—	3	2	no	—
659	C₂×C₃×D₄	—	3	1	no	—
660	C₂×C₃×D₄	—	3	1	no	—
661	C₂×C₃×D₄	—	3	2	no	—
662	C₂×C₃×D₄	—	3	2	no	—
663	C₂×C₃×D₄	—	3	1	no	—
664	C₂×C₃×D₄	—	3	2	no	—
665	C₂×C₃×D₄	—	3	2	no	—
666	C₂×C₃×D₄	—	3	1	no	—
667	C₂×C₃×D₄	—	3	2	no	—
668	C₂×C₃×D₄	—	3	1	no	—
669	C₂×C₃×D₄	—	6	4	no	—
670	C₂×C₃×D₄	—	6	8	no	—
671	C₂×C₃×D₄	—	6	8	no	—
672	C₂×C₃×D₄	—	6	8	no	—
673	C₂×C₃×D₄	—	6	8	no	—
674	C₂×C₃×D₄	—	6	4	no	—
675	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
676	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
677	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
678	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
679	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
680	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
681	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
682	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
683	C₂²×C₃×C₄	—	2	2	no	—
684	C₂²×C₃×C₄	—	2	2	no	—
685	C₂²×C₃×C₄	—	2	2	no	—
686	C₂²×C₃×C₄	—	2	1	no	—
687	C₂²×C₃×C₄	—	2	1	no	—
688	C₂²×C₃×C₄	—	3	1	no	—
689	C₂²×C₃×C₄	—	3	2	no	—
690	C₂²×C₃×C₄	—	3	1	no	—
691	C₂²×C₃×C₄	—	3	2	no	—
692	C₂²×C₃×C₄	—	3	2	no	—
693	C₂²×C₃×C₄	—	3	2	no	—
694	C₂²×C₃×C₄	—	3	2	no	—
695	C₂²×C₃×C₄	—	3	1	no	—
696	C₂²×C₃×C₄	—	3	1	no	—
697	C₂²×C₃×C₄	—	3	2	no	—
698	C₂²×C₃×C₄	—	3	1	no	—
699	C₂²×C₃×C₄	—	3	1	no	—
700	C₂²×C₃×C₄	—	3	2	no	—
701	C₂²×C₃×C₄	—	3	2	no	—
702	C₂²×C₃×C₄	—	3	2	no	—
703	C₂²×C₃×C₄	—	6	4	no	—
704	C₂²×C₃×C₄	—	6	8	no	—
705	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
706	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
707	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
708	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
709	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
710	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
711	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
712	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
713	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
714	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
715	C₂×#67	C₂³×C₃	1	2	yes	—
716	C₂×#67	C₂³×C₃	1	1	yes	characteristic
717	C₂×#67	C₂³×C₃	1	2	yes	—
718	C₂×#67	C₂³×C₃	1	1	yes	characteristic
719	C₂×#67	C₂³×C₃	1	2	yes	—
720	C₂×#67	C₂³×C₃	1	2	yes	—
721	C₂×#67	C₂³×C₃	1	1	yes	characteristic
722	C₂×#67	C₂³×C₃	1	1	yes	characteristic
723	C₂×#67	C₂³×C₃	1	2	yes	—
724	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
725	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
726	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
727	#239	—	2	4	no	—
728	#239	—	2	4	no	—
729	#239	—	2	4	no	—
730	D₃×Q₈	—	2	4	no	—
731	#237	—	2	4	no	—
732	#237	—	2	8	no	—
733	D₃×D₄	—	2	8	no	—
734	D₃×D₄	—	2	8	no	—
735	D₃×D₄	—	2	4	no	—
736	D₃×D₄	—	2	8	no	—
737	D₃×D₄	C₃×D₄	1	8	yes	complemented
738	#235	—	2	8	no	—
739	#235	—	2	8	no	—
740	#235	—	2	4	no	—
741	#235	—	2	4	no	—
742	C₂×D₁₂	—	2	8	no	—
743	C₂×D₁₂	—	2	4	no	—
744	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
745	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
746	C₂×D₁₂	C₂³×C₃	1	2	yes	—
747	C₂×D₁₂	C₂³×C₃	1	2	yes	—
748	C₂×D₁₂	C₂³×C₃	1	2	yes	—
749	C₂×D₁₂	C₂³×C₃	1	2	yes	—
750	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
751	C₂×D₁₂	C₂³×C₃	1	2	yes	—
752	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
753	C₂×C₄×D₃	—	2	8	no	—
754	C₂×C₄×D₃	—	2	4	no	—
755	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
756	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
757	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
758	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
759	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
760	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
761	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
762	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
763	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
764	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
765	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
766	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
767	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
768	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
769	C₂×Dic₆	C₂³×C₃	1	2	yes	—
770	C₃×C₄⋊C₄	—	2	1	no	—
771	C₃×C₄⋊C₄	—	2	2	no	—
772	C₃×C₄⋊C₄	—	2	2	no	—
773	C₃×C₄⋊C₄	—	2	2	no	—
774	C₃×C₄⋊C₄	—	2	1	no	—
775	C₃×C₄⋊C₄	—	2	2	no	—
776	C₃×C₄⋊C₄	—	3	2	no	—
777	C₃×C₄⋊C₄	—	3	1	no	—
778	C₃×C₄⋊C₄	—	3	1	no	—
779	C₃×C₄⋊C₄	—	3	2	no	—
780	C₃×C₄⋊C₄	—	3	2	no	—
781	C₃×C₄⋊C₄	—	3	2	no	—
782	C₃×C₄⋊C₄	—	3	2	no	—
783	C₃×C₄⋊C₄	—	3	1	no	—
784	C₃×C₄⋊C₄	—	3	1	no	—
785	C₃×C₄⋊C₄	—	3	1	no	—
786	C₃×C₄⋊C₄	—	3	2	no	—
787	C₃×C₄⋊C₄	—	3	1	no	—
788	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
789	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
790	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
791	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
792	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
793	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
794	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
795	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
796	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
797	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
798	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
799	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
800	C₃×C₂²⋊C₄	—	2	1	no	—
801	C₃×C₂²⋊C₄	—	2	2	no	—
802	C₃×C₂²⋊C₄	—	2	1	no	—
803	C₃×C₂²⋊C₄	—	2	2	no	—
804	C₃×C₂²⋊C₄	—	2	2	no	—
805	C₃×C₂²⋊C₄	—	3	1	no	—
806	C₃×C₂²⋊C₄	—	3	2	no	—
807	C₃×C₂²⋊C₄	—	3	2	no	—
808	C₃×C₂²⋊C₄	—	3	1	no	—
809	C₃×C₂²⋊C₄	—	3	2	no	—
810	C₃×C₂²⋊C₄	—	3	1	no	—
811	C₃×C₂²⋊C₄	—	3	1	no	—
812	C₃×C₂²⋊C₄	—	3	2	no	—
813	C₃×C₂²⋊C₄	—	3	1	no	—
814	C₃×C₂²⋊C₄	—	3	2	no	—
815	C₃×C₂²⋊C₄	—	3	1	no	—
816	C₃×C₂²⋊C₄	—	3	2	no	—
817	C₃×C₂²⋊C₄	—	3	2	no	—
818	C₃×C₂²⋊C₄	—	3	2	no	—
819	C₃×C₂²⋊C₄	—	3	2	no	—
820	C₃×C₂²⋊C₄	—	3	2	no	—
821	C₃×C₂²⋊C₄	—	3	2	no	—
822	C₃×C₂²⋊C₄	—	3	2	no	—
823	C₃×C₂²⋊C₄	—	3	2	no	—
824	C₃×C₂²⋊C₄	—	3	2	no	—
825	C₃×C₂²⋊C₄	—	3	1	no	—
826	C₃×C₂²⋊C₄	—	3	1	no	—
827	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
828	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
829	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
830	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
831	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
832	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
833	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
834	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
835	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
836	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
837	C₃×C₄²	—	2	1	no	—
838	C₃×C₄²	—	3	2	no	—
839	C₃×C₄²	—	3	1	no	—
840	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
841	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
842	#217	C₂³×C₃	1	1	yes	characteristic
843	#217	C₂³×C₃	1	1	yes	characteristic
844	#217	C₂³×C₃	1	2	yes	—
845	#217	C₂³×C₃	1	2	yes	—
846	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
847	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
848	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
849	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
850	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
851	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
852	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
853	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
854	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
855	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
856	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
857	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
858	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
859	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
860	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
861	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
862	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
863	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
864	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
865	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
866	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
867	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
868	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
869	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
870	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
871	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
872	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
873	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
874	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
875	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
876	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
877	C₄×Dic₃	C₂³×C₃	1	2	yes	—
878	C₂²×C₃²	—	2	2	no	—
879	C₂²×C₃²	—	2	2	no	—
880	C₂²×C₃²	—	2	1	no	—
881	C₂²×C₃²	—	2	1	no	—
882	C₂²×C₃²	—	2	1	no	—
883	C₂²×C₃²	—	2	1	no	—
884	C₂²×C₃²	—	2	1	no	—
885	C₂²×C₃²	—	2	1	no	—
886	C₂²×C₃²	C₂²×D₄	1	4	yes	—
887	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
888	C₂×C₃×D₃	—	2	2	no	—
889	C₂×C₃×D₃	—	2	2	no	—
890	C₂×C₃×D₃	—	2	1	no	—
891	C₂×C₃×D₃	—	2	1	no	—
892	C₂×C₃×D₃	—	2	1	no	—
893	C₂×C₃×D₃	—	2	1	no	—
894	C₂×C₃×D₃	—	2	2	no	—
895	C₂×C₃×D₃	—	2	1	no	—
896	C₂×C₃×D₃	—	2	1	no	—
897	C₂×C₃×D₃	—	2	2	no	—
898	C₂×C₃×D₃	—	2	1	no	—
899	C₂×C₃×D₃	—	2	1	no	—
900	C₂×C₃×D₃	—	2	2	no	—
901	C₂×C₃×D₃	—	4	8	no	—
902	C₂×C₃×D₃	—	4	4	no	—
903	C₂×C₃×D₃	—	8	4	no	—
904	C₂×C₃×D₃	—	8	4	no	—
905	C₂×C₃×D₃	C₂²×D₄	1	2	yes	—
906	C₂×C₃×D₃	C₂²×D₄	1	4	yes	—
907	C₃²×C₄	—	2	1	no	—
908	C₃²×C₄	—	2	2	no	—
909	C₃²×C₄	—	2	1	no	—
910	C₃²×C₄	—	2	1	no	—
911	C₃²×C₄	—	2	2	no	—
912	C₃²×C₄	—	2	1	no	—
913	C₃²×C₄	—	2	2	no	—
914	C₃²×C₄	C₂²×D₄	1	2	yes	—
915	C₃×Dic₃	—	2	2	no	—
916	C₃×Dic₃	—	2	1	no	—
917	C₃×Dic₃	—	2	1	no	—
918	C₃×Dic₃	—	2	1	no	—
919	C₃×Dic₃	—	2	2	no	—
920	C₃×Dic₃	—	2	1	no	—
921	C₃×Dic₃	C₂²×D₄	1	2	yes	—
922	H(5,𝔽₂)	—	6	8	no	—
923	C₂×#41	—	3	1	no	—
924	C₂×#41	—	3	1	no	—
925	C₂×#41	—	3	1	no	—
926	C₂×#41	—	3	1	no	—
927	C₂×#41	—	3	2	no	—
928	C₂×#41	—	3	1	no	—
929	C₂×#41	—	3	1	no	—
930	C₂×#41	—	3	2	no	—
931	C₂×#41	—	3	2	no	—
932	C₂×#41	—	6	8	no	—
933	C₂×#41	C₂×C₃×D₃	1	1	yes	characteristic, complemented
934	C₂×#41	C₂×C₃×D₃	1	1	yes	characteristic, complemented
935	C₂²×Q₈	—	3	1	no	—
936	C₂²×D₄	—	3	1	no	—
937	C₂²×D₄	—	3	2	no	—
938	C₂²×D₄	—	3	2	no	—
939	C₂²×D₄	—	3	2	no	—
940	C₂²×D₄	—	3	1	no	—
941	C₂²×D₄	—	3	2	no	—
942	C₂²×D₄	—	3	1	no	—
943	C₂³×C₄	—	3	2	no	—
944	C₂³×C₄	—	3	1	no	—
945	C₄⋊Q₈	—	3	1	no	—
946	C₄⋊Q₈	—	3	2	no	—
947	C₄⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
948	#124	—	3	1	no	—
949	#124	—	3	2	no	—
950	#124	—	3	1	no	—
951	#123	—	3	2	no	—
952	#123	—	3	2	no	—
953	#123	—	3	2	no	—
954	#123	—	3	2	no	—
955	#123	—	3	1	no	—
956	#123	—	3	2	no	—
957	#123	—	3	2	no	—
958	#123	—	3	2	no	—
959	#123	—	3	2	no	—
960	#123	—	3	2	no	—
961	#123	—	3	2	no	—
962	#123	—	3	2	no	—
963	#123	—	3	2	no	—
964	#123	—	3	1	no	—
965	#123	—	3	2	no	—
966	#123	—	3	2	no	—
967	#123	—	3	2	no	—
968	#123	C₂×C₃×D₃	1	2	yes	complemented
969	#123	C₂×C₃×D₃	1	2	yes	complemented
970	C₂²⋊Q₈	—	3	1	no	—
971	C₂²⋊Q₈	—	3	1	no	—
972	C₂²⋊Q₈	—	3	1	no	—
973	C₂²⋊Q₈	—	3	1	no	—
974	C₂²⋊Q₈	—	3	2	no	—
975	C₂²⋊Q₈	—	3	2	no	—
976	C₂²⋊Q₈	—	3	1	no	—
977	C₂²⋊Q₈	—	3	1	no	—
978	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
979	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
980	#121	—	3	1	no	—
981	#121	—	3	2	no	—
982	#121	—	3	2	no	—
983	#121	—	3	1	no	—
984	#121	—	3	2	no	—
985	#121	—	3	1	no	—
986	#121	—	3	2	no	—
987	#121	—	3	2	no	—
988	#121	—	3	1	no	—
989	#121	—	3	2	no	—
990	#121	—	3	2	no	—
991	#121	C₂×C₃×D₃	1	2	yes	complemented
992	#120	—	3	1	no	—
993	#120	—	3	2	no	—
994	#120	—	3	2	no	—
995	#120	—	3	2	no	—
996	#120	—	3	1	no	—
997	#120	—	3	2	no	—
998	#120	—	3	2	no	—
999	C₄×D₄	—	3	1	no	—
1000	C₄×D₄	—	3	2	no	—
1001	C₄×D₄	—	3	1	no	—
1002	C₄×D₄	—	3	1	no	—
1003	C₄×D₄	—	3	1	no	—
1004	C₄×D₄	—	3	2	no	—
1005	C₄×D₄	—	3	2	no	—
1006	C₄×D₄	—	3	2	no	—
1007	C₄×D₄	—	3	1	no	—
1008	C₄×D₄	—	3	1	no	—
1009	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1010	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1011	#117	—	3	1	no	—
1012	#117	—	3	1	no	—
1013	C₂×C₄⋊C₄	—	3	2	no	—
1014	C₂×C₄⋊C₄	—	3	2	no	—
1015	C₂×C₄⋊C₄	—	3	2	no	—
1016	C₂×C₄⋊C₄	C₂×C₃×D₃	1	2	yes	complemented
1017	C₂×C₂²⋊C₄	—	3	2	no	—
1018	C₂×C₂²⋊C₄	—	3	2	no	—
1019	C₂×C₂²⋊C₄	—	3	2	no	—
1020	C₂×C₂²⋊C₄	—	3	2	no	—
1021	C₂×C₂²⋊C₄	—	3	2	no	—
1022	C₂×C₂²⋊C₄	—	3	2	no	—
1023	C₂³×C₃	—	2	2	no	—
1024	C₂³×C₃	—	2	1	no	—
1025	C₂³×C₃	—	2	1	no	—
1026	C₂³×C₃	—	3	1	no	—
1027	C₂³×C₃	—	3	2	no	—
1028	C₂³×C₃	—	3	8	no	—
1029	C₂³×C₃	—	3	2	no	—
1030	C₂³×C₃	—	3	1	no	—
1031	C₂³×C₃	—	3	1	no	—
1032	C₂³×C₃	—	6	2	no	—
1033	C₂³×C₃	—	6	4	no	—
1034	C₂³×C₃	—	6	4	no	—
1035	C₂³×C₃	—	12	2	no	—
1036	C₂³×C₃	—	12	2	no	—
1037	C₂³×C₃	—	12	1	no	—
1038	C₂³×C₃	—	12	1	no	—
1039	C₂³×C₃	—	12	2	no	—
1040	C₂³×C₃	—	12	2	no	—
1041	C₂³×C₃	—	12	2	no	—
1042	C₂³×C₃	—	12	2	no	—
1043	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1044	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1045	C₂³×C₃	C₂³×D₃	1	2	yes	—
1046	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1047	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1048	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
1049	C₂²×D₃	—	2	4	no	—
1050	C₂²×D₃	—	2	2	no	—
1051	C₂²×D₃	—	2	4	no	—
1052	C₂²×D₃	—	4	2	no	—
1053	C₂²×D₃	—	4	2	no	—
1054	C₂²×D₃	—	4	1	no	—
1055	C₂²×D₃	—	4	1	no	—
1056	C₂²×D₃	—	4	2	no	—
1057	C₂²×D₃	—	4	2	no	—
1058	C₂²×D₃	—	4	2	no	—
1059	C₂²×D₃	—	4	2	no	—
1060	C₂²×D₃	C₂×C₃×D₄	1	8	yes	—
1061	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1062	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
1063	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1064	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1065	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
1066	C₃×Q₈	—	2	2	no	—
1067	C₃×Q₈	—	2	2	no	—
1068	C₃×Q₈	—	2	2	no	—
1069	C₃×Q₈	—	2	2	no	—
1070	C₃×Q₈	—	4	2	no	—
1071	C₃×Q₈	—	4	2	no	—
1072	C₃×Q₈	—	6	4	no	—
1073	C₃×Q₈	—	6	2	no	—
1074	C₃×Q₈	—	6	2	no	—
1075	C₃×D₄	—	2	4	no	—
1076	C₃×D₄	—	2	4	no	—
1077	C₃×D₄	—	2	4	no	—
1078	C₃×D₄	—	2	4	no	—
1079	C₃×D₄	—	2	4	no	—
1080	C₃×D₄	—	3	8	no	—
1081	C₃×D₄	—	3	4	no	—
1082	C₃×D₄	—	4	4	no	—
1083	C₃×D₄	—	4	4	no	—
1084	C₃×D₄	—	4	1	no	—
1085	C₃×D₄	—	4	1	no	—
1086	C₃×D₄	—	4	2	no	—
1087	C₃×D₄	—	6	2	no	—
1088	C₃×D₄	—	6	4	no	—
1089	C₃×D₄	—	6	4	no	—
1090	C₃×D₄	—	6	4	no	—
1091	C₃×D₄	—	6	4	no	—
1092	C₃×D₄	—	6	2	no	—
1093	C₃×D₄	—	6	2	no	—
1094	C₃×D₄	—	6	4	no	—
1095	C₃×D₄	—	6	4	no	—
1096	C₃×D₄	—	6	4	no	—
1097	C₃×D₄	—	6	2	no	—
1098	C₃×D₄	—	12	2	no	—
1099	C₃×D₄	—	12	1	no	—
1100	C₃×D₄	—	12	1	no	—
1101	C₃×D₄	—	12	2	no	—
1102	C₃×D₄	—	12	1	no	—
1103	C₃×D₄	D₃×D₄	1	4	yes	—
1104	C₃×D₄	C₂×C₃×D₄	1	4	yes	—
1105	C₂×C₃×C₄	—	2	4	no	—
1106	C₂×C₃×C₄	—	2	4	no	—
1107	C₂×C₃×C₄	—	2	4	no	—
1108	C₂×C₃×C₄	—	2	4	no	—
1109	C₂×C₃×C₄	—	2	2	no	—
1110	C₂×C₃×C₄	—	2	2	no	—
1111	C₂×C₃×C₄	—	2	2	no	—
1112	C₂×C₃×C₄	—	2	2	no	—
1113	C₂×C₃×C₄	—	2	1	no	—
1114	C₂×C₃×C₄	—	2	1	no	—
1115	C₂×C₃×C₄	—	2	1	no	—
1116	C₂×C₃×C₄	—	2	2	no	—
1117	C₂×C₃×C₄	—	2	1	no	—
1118	C₂×C₃×C₄	—	2	1	no	—
1119	C₂×C₃×C₄	—	2	2	no	—
1120	C₂×C₃×C₄	—	2	2	no	—
1121	C₂×C₃×C₄	—	3	1	no	—
1122	C₂×C₃×C₄	—	3	4	no	—
1123	C₂×C₃×C₄	—	3	1	no	—
1124	C₂×C₃×C₄	—	3	1	no	—
1125	C₂×C₃×C₄	—	3	2	no	—
1126	C₂×C₃×C₄	—	3	1	no	—
1127	C₂×C₃×C₄	—	3	2	no	—
1128	C₂×C₃×C₄	—	3	1	no	—
1129	C₂×C₃×C₄	—	4	2	no	—
1130	C₂×C₃×C₄	—	4	2	no	—
1131	C₂×C₃×C₄	—	4	4	no	—
1132	C₂×C₃×C₄	—	4	4	no	—
1133	C₂×C₃×C₄	—	4	2	no	—
1134	C₂×C₃×C₄	—	4	2	no	—
1135	C₂×C₃×C₄	—	4	4	no	—
1136	C₂×C₃×C₄	—	6	2	no	—
1137	C₂×C₃×C₄	—	6	4	no	—
1138	C₂×C₃×C₄	—	6	2	no	—
1139	C₂×C₃×C₄	—	6	4	no	—
1140	C₂×C₃×C₄	—	6	4	no	—
1141	C₂×C₃×C₄	—	6	4	no	—
1142	C₂×C₃×C₄	—	6	4	no	—
1143	C₂×C₃×C₄	—	6	2	no	—
1144	C₂×C₃×C₄	—	6	4	no	—
1145	C₂×C₃×C₄	—	6	2	no	—
1146	C₂×C₃×C₄	—	6	2	no	—
1147	C₂×C₃×C₄	—	12	2	no	—
1148	C₂×C₃×C₄	—	12	2	no	—
1149	C₂×C₃×C₄	—	12	2	no	—
1150	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1151	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1152	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1153	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1154	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1155	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1156	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1157	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1158	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1159	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1160	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1161	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1162	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1163	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1164	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1165	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1166	#67	—	2	4	no	—
1167	#67	—	2	4	no	—
1168	#67	—	2	2	no	—
1169	#67	—	2	4	no	—
1170	#67	—	2	2	no	—
1171	#67	—	4	1	no	—
1172	#67	—	4	2	no	—
1173	#67	—	4	1	no	—
1174	#67	C₂×C₃×D₄	1	8	yes	—
1175	C₂×Dic₃	—	2	4	no	—
1176	C₂×Dic₃	—	2	2	no	—
1177	C₂×Dic₃	—	4	2	no	—
1178	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1179	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1180	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1181	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1182	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1183	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1184	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1185	D₁₂	—	2	2	no	—
1186	D₁₂	—	2	4	no	—
1187	D₁₂	—	2	4	no	—
1188	D₁₂	—	2	4	no	—
1189	D₁₂	—	2	4	no	—
1190	D₁₂	—	2	2	no	—
1191	D₁₂	—	4	1	no	—
1192	D₁₂	—	4	2	no	—
1193	D₁₂	C₂×C₃×D₄	1	4	yes	—
1194	C₄×D₃	—	2	2	no	—
1195	C₄×D₃	—	2	4	no	—
1196	C₄×D₃	—	2	4	no	—
1197	C₄×D₃	—	2	4	no	—
1198	C₄×D₃	—	2	4	no	—
1199	C₄×D₃	—	2	2	no	—
1200	C₄×D₃	—	2	2	no	—
1201	C₄×D₃	—	2	2	no	—
1202	C₄×D₃	—	2	4	no	—
1203	C₄×D₃	—	4	2	no	—
1204	C₄×D₃	—	4	2	no	—
1205	C₄×D₃	C₂×C₃×D₄	1	4	yes	—
1206	Dic₆	—	2	2	no	—
1207	Dic₆	—	2	2	no	—
1208	Dic₆	—	2	4	no	—
1209	C₂×C₃²	—	2	4	no	—
1210	C₂×C₃²	—	4	1	no	—
1211	C₂×C₃²	—	4	1	no	—
1212	C₂×C₃²	C₂³×D₄	1	1	yes	characteristic
1213	C₂×C₃²	#585	1	1	yes	characteristic
1214	C₂×C₃²	#585	1	1	yes	characteristic
1215	C₃×D₃	—	2	2	no	—
1216	C₃×D₃	—	2	4	no	—
1217	C₃×D₃	—	4	1	no	—
1218	C₃×D₃	—	4	2	no	—
1219	C₃×D₃	—	4	1	no	—
1220	C₂⁴	—	3	2	no	—
1221	C₂⁴	—	3	2	no	—
1222	C₂⁴	—	3	2	no	—
1223	C₂⁴	—	3	1	no	—
1224	#41	—	2	4	no	—
1225	#41	—	2	4	no	—
1226	#41	—	6	4	no	—
1227	#41	—	6	8	no	—
1228	#41	—	6	4	no	—
1229	#41	—	6	8	no	—
1230	#41	—	6	4	no	—
1231	#41	—	6	8	no	—
1232	#41	—	6	4	no	—
1233	#41	—	6	4	no	—
1234	#41	—	6	4	no	—
1235	C₂×Q₈	—	3	2	no	—
1236	C₂×Q₈	—	3	1	no	—
1237	C₂×Q₈	—	3	1	no	—
1238	C₂×Q₈	—	6	4	no	—
1239	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
1240	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
1241	C₂×D₄	—	3	2	no	—
1242	C₂×D₄	—	3	8	no	—
1243	C₂×D₄	—	3	2	no	—
1244	C₂×D₄	—	3	2	no	—
1245	C₂×D₄	—	3	1	no	—
1246	C₂×D₄	—	3	2	no	—
1247	C₂×D₄	—	3	1	no	—
1248	C₂×D₄	—	3	1	no	—
1249	C₂×D₄	—	3	2	no	—
1250	C₂×D₄	—	3	1	no	—
1251	C₂×D₄	—	3	1	no	—
1252	C₂×D₄	—	3	2	no	—
1253	C₂×D₄	—	3	2	no	—
1254	C₂×D₄	—	3	1	no	—
1255	C₂×D₄	—	3	2	no	—
1256	C₂×D₄	—	3	2	no	—
1257	C₂×D₄	—	3	1	no	—
1258	C₂×D₄	—	3	2	no	—
1259	C₂×D₄	—	3	1	no	—
1260	C₂×D₄	—	6	4	no	—
1261	C₂×D₄	—	6	8	no	—
1262	C₂×D₄	—	6	8	no	—
1263	C₂×D₄	—	6	8	no	—
1264	C₂×D₄	—	6	8	no	—
1265	C₂×D₄	—	6	4	no	—
1266	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1267	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1268	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1269	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1270	C₂²×C₄	—	3	1	no	—
1271	C₂²×C₄	—	3	2	no	—
1272	C₂²×C₄	—	3	1	no	—
1273	C₂²×C₄	—	3	2	no	—
1274	C₂²×C₄	—	3	2	no	—
1275	C₂²×C₄	—	3	2	no	—
1276	C₂²×C₄	—	3	2	no	—
1277	C₂²×C₄	—	3	1	no	—
1278	C₂²×C₄	—	3	1	no	—
1279	C₂²×C₄	—	3	2	no	—
1280	C₂²×C₄	—	3	1	no	—
1281	C₂²×C₄	—	3	1	no	—
1282	C₂²×C₄	—	3	2	no	—
1283	C₂²×C₄	—	3	2	no	—
1284	C₂²×C₄	—	3	2	no	—
1285	C₂²×C₄	—	6	4	no	—
1286	C₂²×C₄	—	6	8	no	—
1287	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1288	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1289	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1290	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1291	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1292	C₄⋊C₄	—	3	2	no	—
1293	C₄⋊C₄	—	3	1	no	—
1294	C₄⋊C₄	—	3	1	no	—
1295	C₄⋊C₄	—	3	1	no	—
1296	C₄⋊C₄	—	3	2	no	—
1297	C₄⋊C₄	—	3	2	no	—
1298	C₄⋊C₄	—	3	2	no	—
1299	C₄⋊C₄	—	3	2	no	—
1300	C₄⋊C₄	—	3	2	no	—
1301	C₄⋊C₄	—	3	1	no	—
1302	C₄⋊C₄	—	3	1	no	—
1303	C₄⋊C₄	—	3	1	no	—
1304	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1305	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1306	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1307	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1308	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1309	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1310	C₂²⋊C₄	—	3	1	no	—
1311	C₂²⋊C₄	—	3	2	no	—
1312	C₂²⋊C₄	—	3	2	no	—
1313	C₂²⋊C₄	—	3	1	no	—
1314	C₂²⋊C₄	—	3	2	no	—
1315	C₂²⋊C₄	—	3	1	no	—
1316	C₂²⋊C₄	—	3	1	no	—
1317	C₂²⋊C₄	—	3	1	no	—
1318	C₂²⋊C₄	—	3	2	no	—
1319	C₂²⋊C₄	—	3	2	no	—
1320	C₂²⋊C₄	—	3	1	no	—
1321	C₂²⋊C₄	—	3	2	no	—
1322	C₂²⋊C₄	—	3	2	no	—
1323	C₂²⋊C₄	—	3	2	no	—
1324	C₂²⋊C₄	—	3	2	no	—
1325	C₂²⋊C₄	—	3	2	no	—
1326	C₂²⋊C₄	—	3	2	no	—
1327	C₂²⋊C₄	—	3	2	no	—
1328	C₂²⋊C₄	—	3	2	no	—
1329	C₂²⋊C₄	—	3	2	no	—
1330	C₂²⋊C₄	—	3	1	no	—
1331	C₂²⋊C₄	—	3	1	no	—
1332	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1333	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1334	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1335	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1336	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1337	C₄²	—	3	2	no	—
1338	C₄²	—	3	1	no	—
1339	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1340	C₂²×C₃	—	2	2	no	—
1341	C₂²×C₃	—	2	2	no	—
1342	C₂²×C₃	—	2	2	no	—
1343	C₂²×C₃	—	2	2	no	—
1344	C₂²×C₃	—	2	1	no	—
1345	C₂²×C₃	—	2	1	no	—
1346	C₂²×C₃	—	2	1	no	—
1347	C₂²×C₃	—	2	1	no	—
1348	C₂²×C₃	—	2	1	no	—
1349	C₂²×C₃	—	2	1	no	—
1350	C₂²×C₃	—	2	1	no	—
1351	C₂²×C₃	—	2	1	no	—
1352	C₂²×C₃	—	2	1	no	—
1353	C₂²×C₃	—	2	1	no	—
1354	C₂²×C₃	—	2	1	no	—
1355	C₂²×C₃	—	2	1	no	—
1356	C₂²×C₃	—	2	4	no	—
1357	C₂²×C₃	—	2	1	no	—
1358	C₂²×C₃	—	3	2	no	—
1359	C₂²×C₃	—	3	4	no	—
1360	C₂²×C₃	—	4	2	no	—
1361	C₂²×C₃	—	4	2	no	—
1362	C₂²×C₃	—	4	1	no	—
1363	C₂²×C₃	—	4	1	no	—
1364	C₂²×C₃	—	4	1	no	—
1365	C₂²×C₃	—	4	1	no	—
1366	C₂²×C₃	—	4	1	no	—
1367	C₂²×C₃	—	4	1	no	—
1368	C₂²×C₃	—	6	2	no	—
1369	C₂²×C₃	—	6	1	no	—
1370	C₂²×C₃	—	6	2	no	—
1371	C₂²×C₃	—	6	1	no	—
1372	C₂²×C₃	—	6	1	no	—
1373	C₂²×C₃	—	6	2	no	—
1374	C₂²×C₃	—	6	1	no	—
1375	C₂²×C₃	—	6	1	no	—
1376	C₂²×C₃	—	6	2	no	—
1377	C₂²×C₃	—	6	1	no	—
1378	C₂²×C₃	—	6	1	no	—
1379	C₂²×C₃	—	6	1	no	—
1380	C₂²×C₃	—	6	2	no	—
1381	C₂²×C₃	—	12	8	no	—
1382	C₂²×C₃	—	12	4	no	—
1383	C₂²×C₃	—	24	4	no	—
1384	C₂²×C₃	—	24	4	no	—
1385	C₂²×C₃	C₂×D₃×D₄	1	4	yes	—
1386	C₂²×C₃	C₂²×C₃×D₄	1	4	yes	—
1387	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1388	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1389	C₂×D₃	—	2	2	no	—
1390	C₂×D₃	—	2	2	no	—
1391	C₂×D₃	—	2	1	no	—
1392	C₂×D₃	—	2	1	no	—
1393	C₂×D₃	—	2	1	no	—
1394	C₂×D₃	—	2	1	no	—
1395	C₂×D₃	—	2	2	no	—
1396	C₂×D₃	—	2	1	no	—
1397	C₂×D₃	—	2	1	no	—
1398	C₂×D₃	—	2	2	no	—
1399	C₂×D₃	—	2	1	no	—
1400	C₂×D₃	—	2	1	no	—
1401	C₂×D₃	—	2	2	no	—
1402	C₂×D₃	—	4	8	no	—
1403	C₂×D₃	—	4	4	no	—
1404	C₂×D₃	—	8	4	no	—
1405	C₂×D₃	—	8	4	no	—
1406	C₂×D₃	C₂²×C₃×D₄	1	2	yes	—
1407	C₂×D₃	C₂²×C₃×D₄	1	4	yes	—
1408	C₃×C₄	—	2	2	no	—
1409	C₃×C₄	—	2	1	no	—
1410	C₃×C₄	—	2	1	no	—
1411	C₃×C₄	—	2	2	no	—
1412	C₃×C₄	—	2	2	no	—
1413	C₃×C₄	—	2	1	no	—
1414	C₃×C₄	—	2	2	no	—
1415	C₃×C₄	—	2	1	no	—
1416	C₃×C₄	—	2	2	no	—
1417	C₃×C₄	—	2	1	no	—
1418	C₃×C₄	—	2	1	no	—
1419	C₃×C₄	—	2	2	no	—
1420	C₃×C₄	—	2	1	no	—
1421	C₃×C₄	—	2	2	no	—
1422	C₃×C₄	—	2	1	no	—
1423	C₃×C₄	—	2	2	no	—
1424	C₃×C₄	—	3	2	no	—
1425	C₃×C₄	—	4	1	no	—
1426	C₃×C₄	—	4	1	no	—
1427	C₃×C₄	—	4	2	no	—
1428	C₃×C₄	—	4	2	no	—
1429	C₃×C₄	—	4	2	no	—
1430	C₃×C₄	—	4	1	no	—
1431	C₃×C₄	—	6	1	no	—
1432	C₃×C₄	—	6	1	no	—
1433	C₃×C₄	—	6	2	no	—
1434	C₃×C₄	—	6	1	no	—
1435	C₃×C₄	—	6	2	no	—
1436	C₃×C₄	—	6	1	no	—
1437	C₃×C₄	C₂×D₃×D₄	1	2	yes	—
1438	C₃×C₄	C₂²×C₃×D₄	1	2	yes	—
1439	Dic₃	—	2	2	no	—
1440	Dic₃	—	2	1	no	—
1441	Dic₃	—	2	1	no	—
1442	Dic₃	—	2	1	no	—
1443	Dic₃	—	2	2	no	—
1444	Dic₃	—	2	1	no	—
1445	Dic₃	C₂²×C₃×D₄	1	2	yes	—
1446	C₃²	#3485	1	1	yes	characteristic, complemented, Sylow
1447	C₂³	—	3	1	no	—
1448	C₂³	—	3	2	no	—
1449	C₂³	—	3	8	no	—
1450	C₂³	—	3	2	no	—
1451	C₂³	—	3	1	no	—
1452	C₂³	—	3	1	no	—
1453	C₂³	—	6	2	no	—
1454	C₂³	—	6	4	no	—
1455	C₂³	—	6	4	no	—
1456	C₂³	—	12	2	no	—
1457	C₂³	—	12	2	no	—
1458	C₂³	—	12	1	no	—
1459	C₂³	—	12	1	no	—
1460	C₂³	—	12	2	no	—
1461	C₂³	—	12	2	no	—
1462	C₂³	—	12	2	no	—
1463	C₂³	—	12	2	no	—
1464	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1465	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1466	C₂³	C₂³×C₃×D₃	1	2	yes	—
1467	Q₈	—	2	2	no	—
1468	Q₈	—	2	2	no	—
1469	Q₈	—	6	4	no	—
1470	Q₈	—	6	2	no	—
1471	Q₈	—	6	2	no	—
1472	D₄	—	2	4	no	—
1473	D₄	—	2	4	no	—
1474	D₄	—	3	8	no	—
1475	D₄	—	3	4	no	—
1476	D₄	—	4	1	no	—
1477	D₄	—	6	2	no	—
1478	D₄	—	6	4	no	—
1479	D₄	—	6	4	no	—
1480	D₄	—	6	4	no	—
1481	D₄	—	6	4	no	—
1482	D₄	—	6	2	no	—
1483	D₄	—	6	2	no	—
1484	D₄	—	6	4	no	—
1485	D₄	—	6	4	no	—
1486	D₄	—	6	4	no	—
1487	D₄	—	6	2	no	—
1488	D₄	—	12	2	no	—
1489	D₄	—	12	1	no	—
1490	D₄	—	12	1	no	—
1491	D₄	—	12	2	no	—
1492	D₄	—	12	1	no	—
1493	D₄	C₃×D₃×D₄	1	4	yes	—
1494	C₂×C₄	—	2	4	no	—
1495	C₂×C₄	—	2	4	no	—
1496	C₂×C₄	—	2	2	no	—
1497	C₂×C₄	—	2	2	no	—
1498	C₂×C₄	—	3	1	no	—
1499	C₂×C₄	—	3	4	no	—
1500	C₂×C₄	—	3	1	no	—
1501	C₂×C₄	—	3	2	no	—
1502	C₂×C₄	—	3	1	no	—
1503	C₂×C₄	—	3	1	no	—
1504	C₂×C₄	—	3	2	no	—
1505	C₂×C₄	—	3	1	no	—
1506	C₂×C₄	—	4	2	no	—
1507	C₂×C₄	—	6	2	no	—
1508	C₂×C₄	—	6	4	no	—
1509	C₂×C₄	—	6	2	no	—
1510	C₂×C₄	—	6	4	no	—
1511	C₂×C₄	—	6	4	no	—
1512	C₂×C₄	—	6	4	no	—
1513	C₂×C₄	—	6	4	no	—
1514	C₂×C₄	—	6	2	no	—
1515	C₂×C₄	—	6	4	no	—
1516	C₂×C₄	—	6	2	no	—
1517	C₂×C₄	—	6	2	no	—
1518	C₂×C₄	—	12	2	no	—
1519	C₂×C₄	—	12	2	no	—
1520	C₂×C₄	—	12	2	no	—
1521	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1522	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1523	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1524	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1525	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1526	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1527	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1528	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1529	C₂×C₃	—	2	4	no	—
1530	C₂×C₃	—	2	4	no	—
1531	C₂×C₃	—	2	1	no	—
1532	C₂×C₃	—	2	1	no	—
1533	C₂×C₃	—	2	1	no	—
1534	C₂×C₃	—	4	4	no	—
1535	C₂×C₃	—	4	1	no	—
1536	C₂×C₃	—	4	1	no	—
1537	C₂×C₃	—	4	1	no	—
1538	C₂×C₃	—	4	1	no	—
1539	C₂×C₃	—	6	2	no	—
1540	C₂×C₃	—	6	4	no	—
1541	C₂×C₃	—	8	1	no	—
1542	C₂×C₃	—	8	1	no	—
1543	C₂×C₃	—	12	1	no	—
1544	C₂×C₃	—	12	1	no	—
1545	C₂×C₃	—	12	2	no	—
1546	C₂×C₃	C₂²×D₃×D₄	1	1	yes	characteristic
1547	C₂×C₃	#5964	1	1	yes	characteristic
1548	C₂×C₃	#5968	1	1	yes	characteristic
1549	C₂×C₃	C₂³×C₃×D₄	1	1	yes	characteristic
1550	C₂×C₃	C₃×#585	1	1	yes	characteristic
1551	C₂×C₃	C₃×#585	1	1	yes	characteristic
1552	D₃	—	2	2	no	—
1553	D₃	—	2	4	no	—
1554	D₃	—	4	1	no	—
1555	D₃	—	4	2	no	—
1556	D₃	—	4	1	no	—
1557	C₂²	—	2	2	no	—
1558	C₂²	—	2	2	no	—
1559	C₂²	—	2	1	no	—
1560	C₂²	—	2	1	no	—
1561	C₂²	—	2	1	no	—
1562	C₂²	—	2	1	no	—
1563	C₂²	—	2	1	no	—
1564	C₂²	—	2	1	no	—
1565	C₂²	—	3	2	no	—
1566	C₂²	—	3	4	no	—
1567	C₂²	—	6	2	no	—
1568	C₂²	—	6	1	no	—
1569	C₂²	—	6	2	no	—
1570	C₂²	—	6	1	no	—
1571	C₂²	—	6	1	no	—
1572	C₂²	—	6	2	no	—
1573	C₂²	—	6	1	no	—
1574	C₂²	—	6	1	no	—
1575	C₂²	—	6	2	no	—
1576	C₂²	—	6	1	no	—
1577	C₂²	—	6	1	no	—
1578	C₂²	—	6	1	no	—
1579	C₂²	—	6	2	no	—
1580	C₂²	—	12	8	no	—
1581	C₂²	—	12	4	no	—
1582	C₂²	—	24	4	no	—
1583	C₂²	—	24	4	no	—
1584	C₂²	C₂×C₃×D₃×D₄	1	4	yes	—
1585	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1586	C₄	—	2	1	no	—
1587	C₄	—	2	1	no	—
1588	C₄	—	2	2	no	—
1589	C₄	—	2	2	no	—
1590	C₄	—	2	1	no	—
1591	C₄	—	2	2	no	—
1592	C₄	—	2	1	no	—
1593	C₄	—	3	2	no	—
1594	C₄	—	6	1	no	—
1595	C₄	—	6	1	no	—
1596	C₄	—	6	2	no	—
1597	C₄	—	6	1	no	—
1598	C₄	—	6	2	no	—
1599	C₄	—	6	1	no	—
1600	C₄	C₂×C₃×D₃×D₄	1	2	yes	—
1601	C₃	—	2	1	no	—
1602	C₃	#86700	1	1	yes	characteristic, direct product factor
1603	C₃	C₃×#3485	1	1	yes	characteristic, complemented
1604	C₂	—	2	4	no	—
1605	C₂	—	4	1	no	—
1606	C₂	—	4	1	no	—
1607	C₂	—	6	2	no	—
1608	C₂	—	6	4	no	—
1609	C₂	—	12	1	no	—
1610	C₂	—	12	1	no	—
1611	C₂	—	12	2	no	—
1612	C₂	C₂²×C₃×D₃×D₄	1	1	yes	characteristic
1613	C₂	C₃×#5964	1	1	yes	characteristic
1614	C₂	C₃×#5968	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂⁴×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₃
Fitting	C₃²×#547	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#547	D₃
hypocenter	C₃	C₃×#3485
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#547

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×#1009	C₂	semidirect
2. C₂×C₃×D₃×#41	C₂	semidirect
3. C₃²×#547	C₂	semidirect
4. C₃×#5829	C₂	semidirect
5. C₃×#5824	C₂	semidirect
6. C₃×#5726	C₂	semidirect
7. C₃×#5724	C₂	semidirect
8. C₃×#5655	C₂	semidirect
9. C₃×#5654	C₂	semidirect
10. C₃×#5653	C₂	semidirect
11. C₃×D₃×#123	C₂	semidirect
12. C₃×#5631	C₂	semidirect
13. C₃×#5630	C₂	semidirect
14. C₃×#5628	C₂	semidirect
15. C₃×#5627	C₂	semidirect
16. C₃×#5610	C₂	semidirect
17. C₃×#5605	C₂	semidirect
18. C₃×#5554	C₂	semidirect
19. C₃×#5550	C₂	semidirect
20. C₃×#5547	C₂	semidirect
21. C₃×#5545	C₂	semidirect
22. C₃×#5507	C₂	semidirect
23. C₂×C₃×#894	C₂	semidirect
25. #86700	C₃	direct (N × H)
26. C₂×C₃²×#41	C₂²	semidirect
27. C₂×C₃²×#41	C₂²	semidirect
31. C₂×C₃×#239	C₂²	semidirect
32. C₂×C₃×#239	C₂²	semidirect
33. C₂×C₃×D₃×Q₈	C₂²	semidirect
34. C₂×C₃×#237	C₂²	semidirect
35. C₂×C₃×#237	C₂²	semidirect
38. C₂×C₃×D₃×D₄	C₂²	semidirect
39. C₂×C₃×D₃×D₄	C₂²	semidirect
40. C₂×C₃×D₃×D₄	C₂²	semidirect
42. C₂×C₃×#235	C₂²	semidirect
43. C₂×C₃×#235	C₂²	semidirect
44. C₂×C₃×#235	C₂²	semidirect
46. C₂²×C₃×D₁₂	C₂²	semidirect
47. C₂²×C₃×C₄×D₃	C₂²	semidirect
48. C₂²×C₃×C₄×D₃	C₂²	semidirect
49. C₃²×C₄⋊Q₈	C₂²	semidirect
50. C₃²×#123	C₂²	semidirect
51. C₃²×#123	C₂²	semidirect
52. C₃²×C₂²⋊Q₈	C₂²	semidirect
53. C₃²×C₂²⋊Q₈	C₂²	semidirect
54. C₃²×#121	C₂²	semidirect
55. C₃²×C₄×D₄	C₂²	semidirect
56. C₃²×C₄×D₄	C₂²	semidirect
57. C₂×C₃²×C₄⋊C₄	C₂²	semidirect
58. C₃×#947	C₂²	semidirect
59. C₃×#946	C₂²	semidirect
60. C₃×#946	C₂²	semidirect
61. C₃×#944	C₂²	semidirect
62. C₃×#939	C₂²	semidirect
63. C₃×#939	C₂²	semidirect
64. C₃×#939	C₂²	semidirect
65. C₃×#937	C₂²	semidirect
66. C₃×#937	C₂²	semidirect
67. C₃×#937	C₂²	semidirect
68. C₃×#935	C₂²	semidirect
69. C₃×D₄×Dic₃	C₂²	semidirect
70. C₃×#930	C₂²	semidirect
71. C₃×#930	C₂²	semidirect
72. C₃×#929	C₂²	semidirect
73. C₃×#929	C₂²	semidirect
74. C₃×C₄×#67	C₂²	semidirect
75. C₃×C₄×#67	C₂²	semidirect
76. C₃×C₄×#67	C₂²	semidirect
77. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
78. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
79. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
80. C₃×#924	C₂²	semidirect
81. C₂×C₃×Dic₃⋊C₄	C₂²	semidirect
82. C₃×#897	C₂²	semidirect
83. C₃×#896	C₂²	semidirect
84. C₃×#896	C₂²	semidirect
85. C₃×#896	C₂²	semidirect
86. C₃×#895	C₂²	semidirect
87. C₃×#895	C₂²	semidirect
88. C₃×#895	C₂²	semidirect
89. C₃×#894	C₂²	semidirect
90. C₃×#894	C₂²	semidirect
91. C₃×#894	C₂²	semidirect
92. C₃×#894	C₂²	semidirect
93. C₃×#894	C₂²	semidirect
94. C₃×#894	C₂²	semidirect
95. C₃×#894	C₂²	semidirect
96. C₃×#894	C₂²	semidirect
97. C₃×#894	C₂²	semidirect
98. C₃×#894	C₂²	semidirect
99. C₃×#893	C₂²	semidirect
100. C₃×#893	C₂²	semidirect
101. C₃×#892	C₂²	semidirect
102. C₃×D₃×C₄⋊C₄	C₂²	semidirect
103. C₃×D₃×C₄⋊C₄	C₂²	semidirect
104. C₃×#888	C₂²	semidirect
105. C₃×#886	C₂²	semidirect
106. C₃×#885	C₂²	semidirect
107. C₃×#884	C₂²	semidirect
108. C₃×#884	C₂²	semidirect
109. C₃×#884	C₂²	semidirect
110. C₃×#883	C₂²	semidirect
111. C₃×#883	C₂²	semidirect
112. C₃×#883	C₂²	semidirect
113. C₃×#882	C₂²	semidirect
114. C₃×#882	C₂²	semidirect
115. C₃×#882	C₂²	semidirect
116. C₃×#882	C₂²	semidirect
117. C₃×#67⋊C₄	C₂²	semidirect
118. C₃×#67⋊C₄	C₂²	semidirect
119. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
120. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
121. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
122. C₃×#878	C₂²	semidirect
123. C₃×#875	C₂²	semidirect
124. C₃×C₄×D₁₂	C₂²	semidirect
125. C₃×C₄×D₁₂	C₂²	semidirect
126. C₃×#872	C₂²	semidirect
129. C₂×#1009	C₂×C₃	semidirect
130. C₂×D₃×#41	C₂×C₃	semidirect
137. C₃×#547	D₃	semidirect
138. C₃×#547	C₂×C₃	semidirect
154. #5829	C₂×C₃	semidirect
155. #5824	C₂×C₃	semidirect
156. #5726	C₂×C₃	semidirect
157. #5724	C₂×C₃	semidirect
158. #5655	C₂×C₃	semidirect
159. #5654	C₂×C₃	semidirect
160. #5653	C₂×C₃	semidirect
161. D₃×#123	C₂×C₃	semidirect
162. #5631	C₂×C₃	semidirect
163. #5630	C₂×C₃	semidirect
164. #5628	C₂×C₃	semidirect
165. #5627	C₂×C₃	semidirect
166. #5610	C₂×C₃	semidirect
167. #5605	C₂×C₃	semidirect
168. #5554	C₂×C₃	semidirect
169. #5550	C₂×C₃	semidirect
170. #5547	C₂×C₃	semidirect
171. #5545	C₂×C₃	semidirect
172. #5507	C₂×C₃	semidirect
173. C₂×#894	C₂×C₃	semidirect
213. C₃×D₃×D₄	D₄	semidirect
308. C₂×C₃×#41	C₂×D₃	semidirect
309. C₂×C₃×#41	C₂×D₃	semidirect
310. C₂×C₃×#41	C₂²×C₃	semidirect
311. C₂×C₃×#41	C₂²×C₃	semidirect
325. C₂×#239	C₂²×C₃	semidirect
326. C₂×#239	C₂²×C₃	semidirect
327. C₂×D₃×Q₈	C₂²×C₃	semidirect
328. C₂×#237	C₂²×C₃	semidirect
329. C₂×#237	C₂²×C₃	semidirect
332. C₂×D₃×D₄	C₂²×C₃	semidirect
333. C₂×D₃×D₄	C₂²×C₃	semidirect
334. C₂×D₃×D₄	C₂²×C₃	semidirect
336. C₂×#235	C₂²×C₃	semidirect
337. C₂×#235	C₂²×C₃	semidirect
338. C₂×#235	C₂²×C₃	semidirect
340. C₂²×D₁₂	C₂²×C₃	semidirect
341. C₂²×C₄×D₃	C₂²×C₃	semidirect
342. C₂²×C₄×D₃	C₂²×C₃	semidirect
346. C₃×C₄⋊Q₈	C₂×D₃	semidirect
347. C₃×C₄⋊Q₈	C₂²×C₃	semidirect
370. C₃×#123	C₂×D₃	semidirect
371. C₃×#123	C₂×D₃	semidirect
372. C₃×#123	C₂²×C₃	semidirect
373. C₃×#123	C₂²×C₃	semidirect
384. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
385. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
386. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
387. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
400. C₃×#121	C₂×D₃	semidirect
401. C₃×#121	C₂²×C₃	semidirect
421. C₃×C₄×D₄	C₂×D₃	semidirect
422. C₃×C₄×D₄	C₂×D₃	semidirect
423. C₃×C₄×D₄	C₂²×C₃	semidirect
424. C₃×C₄×D₄	C₂²×C₃	semidirect
431. C₂×C₃×C₄⋊C₄	C₂×D₃	semidirect
432. C₂×C₃×C₄⋊C₄	C₂²×C₃	semidirect
439. #947	C₂²×C₃	semidirect
440. #946	C₂²×C₃	semidirect
441. #946	C₂²×C₃	semidirect
442. #944	C₂²×C₃	semidirect
443. #939	C₂²×C₃	semidirect
444. #939	C₂²×C₃	semidirect
445. #939	C₂²×C₃	semidirect
446. #937	C₂²×C₃	semidirect
447. #937	C₂²×C₃	semidirect
448. #937	C₂²×C₃	semidirect
449. #935	C₂²×C₃	semidirect
450. D₄×Dic₃	C₂²×C₃	semidirect
451. #930	C₂²×C₃	semidirect
452. #930	C₂²×C₃	semidirect
453. #929	C₂²×C₃	semidirect
454. #929	C₂²×C₃	semidirect
455. C₄×#67	C₂²×C₃	semidirect
456. C₄×#67	C₂²×C₃	semidirect
457. C₄×#67	C₂²×C₃	semidirect
458. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
459. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
460. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
461. #924	C₂²×C₃	semidirect
462. C₂×Dic₃⋊C₄	C₂²×C₃	semidirect
463. #897	C₂²×C₃	semidirect
464. #896	C₂²×C₃	semidirect
465. #896	C₂²×C₃	semidirect
466. #896	C₂²×C₃	semidirect
467. #895	C₂²×C₃	semidirect
468. #895	C₂²×C₃	semidirect
469. #895	C₂²×C₃	semidirect
470. #894	C₂²×C₃	semidirect
471. #894	C₂²×C₃	semidirect
472. #894	C₂²×C₃	semidirect
473. #894	C₂²×C₃	semidirect
474. #894	C₂²×C₃	semidirect
475. #894	C₂²×C₃	semidirect
476. #894	C₂²×C₃	semidirect
477. #894	C₂²×C₃	semidirect
478. #894	C₂²×C₃	semidirect
479. #894	C₂²×C₃	semidirect
480. #893	C₂²×C₃	semidirect
481. #893	C₂²×C₃	semidirect
482. #892	C₂²×C₃	semidirect
483. D₃×C₄⋊C₄	C₂²×C₃	semidirect
484. D₃×C₄⋊C₄	C₂²×C₃	semidirect
485. #888	C₂²×C₃	semidirect
486. #886	C₂²×C₃	semidirect
487. #885	C₂²×C₃	semidirect
488. #884	C₂²×C₃	semidirect
489. #884	C₂²×C₃	semidirect
490. #884	C₂²×C₃	semidirect
491. #883	C₂²×C₃	semidirect
492. #883	C₂²×C₃	semidirect
493. #883	C₂²×C₃	semidirect
494. #882	C₂²×C₃	semidirect
495. #882	C₂²×C₃	semidirect
496. #882	C₂²×C₃	semidirect
497. #882	C₂²×C₃	semidirect
498. #67⋊C₄	C₂²×C₃	semidirect
499. #67⋊C₄	C₂²×C₃	semidirect
500. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
501. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
502. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
503. #878	C₂²×C₃	semidirect
504. #875	C₂²×C₃	semidirect
505. C₄×D₁₂	C₂²×C₃	semidirect
506. C₄×D₁₂	C₂²×C₃	semidirect
507. #872	C₂²×C₃	semidirect
597. #547	C₃×D₃	semidirect
737. D₃×D₄	C₃×D₄	semidirect
933. C₂×#41	C₂×C₃×D₃	semidirect
934. C₂×#41	C₂×C₃×D₃	semidirect
947. C₄⋊Q₈	C₂×C₃×D₃	semidirect
968. #123	C₂×C₃×D₃	semidirect
969. #123	C₂×C₃×D₃	semidirect
978. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
979. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
991. #121	C₂×C₃×D₃	semidirect
1009. C₄×D₄	C₂×C₃×D₃	semidirect
1010. C₄×D₄	C₂×C₃×D₃	semidirect
1016. C₂×C₄⋊C₄	C₂×C₃×D₃	semidirect
1446. C₃²	#3485	semidirect
1602. C₃	#86700	direct (N × H)
1603. C₃	C₃×#3485	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×#1009	2
C₂×C₃×D₃×#41	2
C₃²×#547	2
C₃×#5829	2
C₃×#5824	2
C₃×#5726	2
C₃×#5724	2
C₃×#5655	2
C₃×#5654	2
C₃×#5653	2
C₃×D₃×#123	2
C₃×#5631	2
C₃×#5630	2
C₃×#5628	2
C₃×#5627	2
C₃×#5610	2
C₃×#5605	2
C₃×#5554	2
C₃×#5550	2
C₃×#5547	2
C₃×#5545	2
C₃×#5507	2
C₂×C₃×#894	2
C₃×#3485	3
#86700	3

Subgroups — C3×#86700 #11904371

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86700 #11904371