Subgroups — C₃×#86607 #11904585

Order 1152.

3530 conjugacy classes of subgroups.

The subgroup lattice has 1697 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#1004	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₃×#237	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃²×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#5806	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₃×#939	C₂	1	2	yes	maximal, complemented
6	C₃×D₄×#67	C₂	1	2	yes	maximal, complemented
7	C₃×D₄×#67	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#5718	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#5715	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#5610	C₂	1	2	yes	maximal, complemented
11	C₃×#5608	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×D₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#5599	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#5598	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#5597	C₂	1	2	yes	maximal, complemented
16	C₃×#5592	C₂	1	2	yes	maximal, complemented
17	C₃×#5591	C₂	1	2	yes	maximal, complemented
18	C₃×#5590	C₂	1	2	yes	maximal, complemented
19	C₃×#5586	C₂	1	2	yes	maximal, complemented
20	C₃×#5554	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#5552	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#5547	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#5546	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#3488	—	3	1	no	maximal
25	#86607	C₃	1	1	yes	maximal, characteristic, direct product factor
26	C₂²×C₃²×D₄	C₂²	1	1	yes	characteristic, complemented
27	C₂²×C₃²×D₄	C₂²	1	1	yes	characteristic, complemented
28	C₂²×C₃²×D₄	C₂²	1	2	yes	complemented
29	C₂²×C₃×#67	C₂²	1	2	yes	complemented
30	C₂²×C₃×#67	C₂²	1	2	yes	complemented
31	C₂²×C₃×#67	C₂²	1	2	yes	complemented
32	C₂²×C₃×#67	C₂²	1	2	yes	complemented
33	C₂³×C₃×Dic₃	C₂²	1	2	yes	complemented
34	C₃×#1004	—	2	8	no	—
35	C₂×C₃×#237	—	2	8	no	—
36	C₂×C₃×#237	C₂²	1	1	yes	characteristic
37	C₂×C₃×#237	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₃×#237	C₂²	1	2	yes	complemented
39	C₂×C₃×#237	C₂²	1	2	yes	complemented
40	C₂×C₃×#237	C₂²	1	2	yes	complemented
41	C₂×C₃×#237	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₃×#237	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₃×#237	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
46	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
48	C₂×C₃×#235	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₃×#235	C₂²	1	1	yes	characteristic, complemented
50	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic, complemented
51	C₂²×C₃×Dic₆	C₂²	1	1	yes	characteristic, complemented
52	C₃²×#127	C₂²	1	1	yes	characteristic, complemented
53	C₃²×#121	C₂²	1	2	yes	complemented
54	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
55	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
56	C₃²×#120	C₂²	1	2	yes	complemented
57	C₃²×#120	C₂²	1	2	yes	complemented
58	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
59	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
60	C₃×#953	C₂²	1	2	yes	complemented
61	C₃×#953	C₂²	1	2	yes	complemented
62	C₂×C₃×#217	C₂²	1	2	yes	complemented
63	C₃×#940	C₂²	1	2	yes	complemented
64	C₃×#940	C₂²	1	1	yes	characteristic, complemented
65	C₃×#940	C₂²	1	2	yes	complemented
66	C₃×#939	C₂²	1	2	yes	complemented
67	C₃×#939	C₂²	1	2	yes	complemented
68	C₃×#939	C₂²	1	2	yes	complemented
69	C₃×#939	C₂²	1	1	yes	characteristic, complemented
70	C₃×#939	C₂²	1	2	yes	complemented
71	C₃×#939	C₂²	1	2	yes	complemented
72	C₃×#939	C₂²	1	2	yes	complemented
73	C₃×#939	C₂²	1	2	yes	complemented
74	C₃×#939	C₂²	1	2	yes	complemented
75	C₃×#939	C₂²	1	2	yes	complemented
76	C₃×#939	C₂²	1	2	yes	complemented
77	C₃×#939	C₂²	1	2	yes	complemented
78	C₃×#938	C₂²	1	2	yes	complemented
79	C₃×#938	C₂²	1	1	yes	characteristic, complemented
80	C₃×#938	C₂²	1	1	yes	characteristic, complemented
81	C₃×#937	C₂²	1	1	yes	characteristic, complemented
82	C₃×#937	C₂²	1	2	yes	complemented
83	C₃×#937	C₂²	1	2	yes	complemented
84	C₃×#937	C₂²	1	2	yes	complemented
85	C₃×#936	C₂²	1	1	yes	characteristic, complemented
86	C₃×#935	C₂²	1	2	yes	complemented
87	C₃×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
88	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
89	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
90	C₃×#930	C₂²	1	1	yes	characteristic, complemented
91	C₃×#930	C₂²	1	2	yes	complemented
92	C₃×C₄×#67	C₂²	1	2	yes	complemented
93	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
94	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
95	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	complemented
96	C₃×#924	C₂²	1	1	yes	characteristic, complemented
97	C₂×C₃×Dic₃⋊C₄	C₂²	1	2	yes	complemented
98	C₃×#897	C₂²	1	1	yes	characteristic, complemented
99	C₃×#896	C₂²	1	1	yes	characteristic, complemented
100	C₃×#896	C₂²	1	2	yes	complemented
101	C₃×#895	C₂²	1	1	yes	characteristic, complemented
102	C₃×#894	C₂²	1	1	yes	characteristic, complemented
103	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
104	C₃×#887	C₂²	1	1	yes	characteristic, complemented
105	C₃×#886	C₂²	1	2	yes	complemented
106	C₃×#885	C₂²	1	2	yes	complemented
107	C₃×#885	C₂²	1	2	yes	complemented
108	C₃×#884	C₂²	1	1	yes	characteristic, complemented
109	C₃×#884	C₂²	1	2	yes	complemented
110	C₃×#884	C₂²	1	2	yes	complemented
111	C₃×#884	C₂²	1	2	yes	complemented
112	C₃×#883	C₂²	1	1	yes	characteristic, complemented
113	C₃×#882	C₂²	1	1	yes	characteristic, complemented
114	C₃×#882	C₂²	1	2	yes	complemented
115	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
116	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
117	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
118	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
119	C₃×#878	C₂²	1	1	yes	characteristic, complemented
120	C₃×#878	C₂²	1	2	yes	complemented
121	C₃×#878	C₂²	1	2	yes	complemented
122	C₃×#877	C₂²	1	2	yes	complemented
123	C₃×#875	C₂²	1	1	yes	characteristic, complemented
124	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
125	C₃×#872	C₂²	1	1	yes	characteristic, complemented
126	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
127	C₂×C₃×H(5,𝔽₂)	—	3	1	no	—
128	C₂²×C₃×#41	—	3	1	no	—
129	C₂×#1004	C₂×C₃	1	1	yes	characteristic, complemented
130	C₂²×#237	C₂×C₃	1	1	yes	characteristic, complemented
131	C₃×#550	—	3	1	no	—
132	C₃×#550	—	3	1	no	—
133	C₃×#548	—	3	1	no	—
134	C₃×#548	—	3	1	no	—
135	C₃×#546	—	3	1	no	—
136	C₃×#546	—	3	2	no	—
137	C₃×#546	—	3	2	no	—
138	C₃×#546	—	3	1	no	—
139	C₃×D₄²	—	2	1	no	—
140	C₃×D₄²	—	3	1	no	—
141	C₃×D₄²	—	3	2	no	—
142	C₃×D₄²	—	3	2	no	—
143	C₃×D₄²	D₃	1	1	yes	characteristic, complemented
144	C₃×D₄²	C₂×C₃	1	1	yes	characteristic, complemented
145	C₃×#537	—	3	2	no	—
146	C₃×#537	—	3	1	no	—
147	C₃×#535	—	3	1	no	—
148	C₃×#535	—	3	2	no	—
149	C₃×#525	—	3	2	no	—
150	C₃×#525	—	3	1	no	—
151	C₂×C₃×#121	—	3	2	no	—
152	C₂×C₃×#121	—	3	1	no	—
153	C₃×#520	—	3	1	no	—
154	#5806	C₂×C₃	1	1	yes	characteristic, complemented
155	C₂×#939	C₂×C₃	1	2	yes	complemented
156	D₄×#67	C₂×C₃	1	2	yes	complemented
157	D₄×#67	C₂×C₃	1	1	yes	characteristic, complemented
158	#5718	C₂×C₃	1	1	yes	characteristic, complemented
159	#5715	C₂×C₃	1	1	yes	characteristic, complemented
160	#5610	C₂×C₃	1	2	yes	complemented
161	#5608	C₂×C₃	1	1	yes	characteristic, complemented
162	D₃×#121	C₂×C₃	1	1	yes	characteristic, complemented
163	#5599	C₂×C₃	1	1	yes	characteristic, complemented
164	#5598	C₂×C₃	1	1	yes	characteristic, complemented
165	#5597	C₂×C₃	1	2	yes	complemented
166	#5592	C₂×C₃	1	2	yes	complemented
167	#5591	C₂×C₃	1	2	yes	complemented
168	#5590	C₂×C₃	1	2	yes	complemented
169	#5586	C₂×C₃	1	2	yes	complemented
170	#5554	C₂×C₃	1	1	yes	characteristic, complemented
171	#5552	C₂×C₃	1	1	yes	characteristic, complemented
172	#5547	C₂×C₃	1	1	yes	characteristic, complemented
173	#5546	C₂×C₃	1	1	yes	characteristic, complemented
174	C₂⁴×C₃²	C₂³	1	2	yes	—
175	C₂⁴×C₃²	C₂³	1	2	yes	—
176	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
177	C₂³×C₃×D₃	C₂³	1	2	yes	—
178	C₂³×C₃×D₃	C₂³	1	2	yes	—
179	C₂×C₃²×D₄	—	2	4	no	—
180	C₂×C₃²×D₄	—	2	4	no	—
181	C₂×C₃²×D₄	—	4	4	no	—
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	C₂×C₃²×D₄	C₂³	1	2	yes	—
187	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
188	C₂×C₃²×D₄	C₂³	1	2	yes	—
189	C₂×C₃²×D₄	C₂³	1	2	yes	—
190	C₂×C₃²×D₄	C₂³	1	2	yes	—
191	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
192	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
193	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
194	C₂²×C₃²×C₄	C₂³	1	2	yes	—
195	C₂×C₃×#67	—	2	8	no	—
196	C₂×C₃×#67	—	2	8	no	—
197	C₂×C₃×#67	—	2	8	no	—
198	C₂×C₃×#67	—	4	4	no	—
199	C₂×C₃×#67	C₂³	1	2	yes	—
200	C₂×C₃×#67	C₂³	1	1	yes	characteristic
201	C₂×C₃×#67	C₂³	1	2	yes	—
202	C₂×C₃×#67	C₂³	1	1	yes	characteristic
203	C₂×C₃×#67	C₂³	1	2	yes	—
204	C₂×C₃×#67	C₂³	1	1	yes	characteristic
205	C₂×C₃×#67	C₂³	1	2	yes	—
206	C₂×C₃×#67	C₂³	1	2	yes	—
207	C₂×C₃×#67	C₂³	1	2	yes	—
208	C₂×C₃×#67	C₂³	1	2	yes	—
209	C₂×C₃×#67	C₂³	1	2	yes	—
210	C₂×C₃×#67	C₂³	1	2	yes	—
211	C₂×C₃×#67	C₂³	1	1	yes	characteristic
212	C₂×C₃×#67	C₂³	1	2	yes	—
213	C₂×C₃×#67	C₂³	1	2	yes	—
214	C₂×C₃×#67	C₂³	1	2	yes	—
215	C₂×C₃×#67	C₂³	1	2	yes	—
216	C₂²×C₃×Dic₃	—	2	8	no	—
217	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
218	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
219	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
220	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
221	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
222	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
223	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
224	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
225	C₃×#237	—	2	4	no	—
226	C₃×#237	—	2	8	no	—
227	C₃×#237	—	2	8	no	—
228	C₃×#237	—	2	8	no	—
229	C₃×#237	—	2	4	no	—
230	C₃×#237	—	2	4	no	—
231	C₃×#237	—	2	4	no	—
232	C₃×#237	D₄	1	8	yes	complemented
233	C₃×D₃×D₄	—	2	4	no	—
234	C₃×D₃×D₄	—	2	8	no	—
235	C₃×D₃×D₄	—	2	4	no	—
236	C₃×D₃×D₄	—	4	4	no	—
237	C₃×#235	—	2	4	no	—
238	C₃×#235	—	2	4	no	—
239	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
240	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
241	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
242	C₂×C₃×D₁₂	C₂³	1	2	yes	—
243	C₂×C₃×C₄×D₃	—	2	4	no	—
244	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
245	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
246	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
247	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
248	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
249	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
250	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
251	C₂×C₃×Dic₆	—	2	4	no	—
252	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
253	C₂×C₃×Dic₆	C₂³	1	2	yes	—
254	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
255	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
256	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
259	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
260	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
261	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
262	C₃²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
263	C₃²×C₄²	C₂³	1	1	yes	characteristic
264	C₃×#217	C₂³	1	2	yes	—
265	C₃×#217	C₂³	1	1	yes	characteristic
266	C₃×#217	C₂³	1	2	yes	—
267	C₃×#217	C₂³	1	2	yes	—
268	C₃×#217	C₂³	1	2	yes	—
269	C₃×#217	C₂³	1	1	yes	characteristic
270	C₃×#217	C₂³	1	2	yes	—
271	C₃×#217	C₂³	1	2	yes	—
272	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
273	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
274	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
275	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
279	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
280	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
281	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
282	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
283	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
284	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
285	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
286	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
287	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
288	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
289	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
290	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
291	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
292	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
293	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
294	C₃×C₄×Dic₃	C₂³	1	2	yes	—
295	C₃×C₄×Dic₃	C₂³	1	2	yes	—
296	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
297	#3488	—	3	1	no	Sylow
298	C₃×H(5,𝔽₂)	—	6	8	no	—
299	C₂×C₃×#41	—	3	1	no	—
300	C₂×C₃×#41	—	3	2	no	—
301	C₂×C₃×#41	—	3	1	no	—
302	C₂×C₃×#41	—	3	1	no	—
303	C₂×C₃×#41	—	3	2	no	—
304	C₂×C₃×#41	—	3	1	no	—
305	C₂×C₃×#41	—	3	2	no	—
306	C₂×C₃×#41	—	3	1	no	—
307	C₂×C₃×#41	—	3	1	no	—
308	C₂×C₃×#41	—	3	1	no	—
309	C₂×C₃×#41	—	6	8	no	—
310	C₂²×C₃×Q₈	—	3	1	no	—
311	C₂²×C₃×D₄	—	2	1	no	—
312	C₂²×C₃×D₄	—	2	1	no	—
313	C₂²×C₃×D₄	—	2	2	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	2	no	—
318	C₂²×C₃×D₄	—	3	1	no	—
319	C₂²×C₃×D₄	—	3	2	no	—
320	C₂²×C₃×D₄	—	3	1	no	—
321	C₂²×C₃×D₄	—	3	2	no	—
322	C₂²×C₃×D₄	C₂×D₃	1	1	yes	characteristic, complemented
323	C₂²×C₃×D₄	C₂×D₃	1	1	yes	characteristic, complemented
324	C₂²×C₃×D₄	C₂×D₃	1	2	yes	complemented
325	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
326	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
327	C₂²×C₃×D₄	C₂²×C₃	1	2	yes	complemented
328	C₂³×C₃×C₄	—	3	2	no	—
329	C₂³×C₃×C₄	—	3	1	no	—
330	C₂²×#67	C₂²×C₃	1	2	yes	complemented
331	C₂²×#67	C₂²×C₃	1	2	yes	complemented
332	C₂²×#67	C₂²×C₃	1	2	yes	complemented
333	C₂²×#67	C₂²×C₃	1	2	yes	complemented
334	C₂³×Dic₃	C₂²×C₃	1	2	yes	complemented
335	#1004	—	2	8	no	—
336	C₂×#237	—	2	8	no	—
337	C₂×#237	C₂²×C₃	1	1	yes	characteristic
338	C₂×#237	C₂²×C₃	1	1	yes	characteristic, complemented
339	C₂×#237	C₂²×C₃	1	1	yes	characteristic, complemented
340	C₂×#237	C₂²×C₃	1	1	yes	characteristic, complemented
341	C₂×#237	C₂²×C₃	1	2	yes	complemented
342	C₂×#237	C₂²×C₃	1	2	yes	complemented
343	C₂×#237	C₂²×C₃	1	1	yes	characteristic, complemented
344	C₂×#237	C₂²×C₃	1	2	yes	complemented
345	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
346	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
347	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
348	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
349	C₂×#235	C₂²×C₃	1	1	yes	characteristic, complemented
350	C₂×#235	C₂²×C₃	1	1	yes	characteristic, complemented
351	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
352	C₂²×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
353	C₃×#127	—	2	1	no	—
354	C₃×#127	—	3	2	no	—
355	C₃×#127	—	3	2	no	—
356	C₃×#127	—	3	1	no	—
357	C₃×#127	C₂×D₃	1	1	yes	characteristic, complemented
358	C₃×#127	C₂²×C₃	1	1	yes	characteristic, complemented
359	C₃×#124	—	3	1	no	—
360	C₃×#124	—	3	2	no	—
361	C₃×#124	—	3	2	no	—
362	C₃×#124	—	3	1	no	—
363	C₃×#123	—	3	2	no	—
364	C₃×#123	—	3	1	no	—
365	C₃×#123	—	3	1	no	—
366	C₃×#123	—	3	2	no	—
367	C₃×C₂²⋊Q₈	—	3	1	no	—
368	C₃×C₂²⋊Q₈	—	3	1	no	—
369	C₃×C₂²⋊Q₈	—	3	2	no	—
370	C₃×C₂²⋊Q₈	—	3	1	no	—
371	C₃×C₂²⋊Q₈	—	3	1	no	—
372	C₃×C₂²⋊Q₈	—	3	2	no	—
373	C₃×C₂²⋊Q₈	—	3	2	no	—
374	C₃×#121	—	2	1	no	—
375	C₃×#121	—	2	2	no	—
376	C₃×#121	—	2	1	no	—
377	C₃×#121	—	3	1	no	—
378	C₃×#121	—	3	2	no	—
379	C₃×#121	—	3	1	no	—
380	C₃×#121	—	3	2	no	—
381	C₃×#121	—	3	1	no	—
382	C₃×#121	—	3	2	no	—
383	C₃×#121	—	3	2	no	—
384	C₃×#121	—	3	2	no	—
385	C₃×#121	—	3	2	no	—
386	C₃×#121	—	3	2	no	—
387	C₃×#121	—	3	2	no	—
388	C₃×#121	—	3	2	no	—
389	C₃×#121	—	3	2	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	1	no	—
397	C₃×#121	—	3	2	no	—
398	C₃×#121	—	3	2	no	—
399	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
400	C₃×#121	C₂×D₃	1	2	yes	complemented
401	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
402	C₃×#121	C₂²×C₃	1	2	yes	complemented
403	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
404	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
405	C₃×#120	—	2	2	no	—
406	C₃×#120	—	2	2	no	—
407	C₃×#120	—	3	2	no	—
408	C₃×#120	—	3	2	no	—
409	C₃×#120	—	3	1	no	—
410	C₃×#120	—	3	2	no	—
411	C₃×#120	—	3	2	no	—
412	C₃×#120	—	3	2	no	—
413	C₃×#120	—	3	1	no	—
414	C₃×#120	—	3	2	no	—
415	C₃×#120	C₂×D₃	1	2	yes	complemented
416	C₃×#120	C₂×D₃	1	2	yes	complemented
417	C₃×#120	C₂²×C₃	1	2	yes	complemented
418	C₃×#120	C₂²×C₃	1	2	yes	complemented
419	C₃×C₄×Q₈	—	3	1	no	—
420	C₃×C₄×Q₈	—	3	1	no	—
421	C₃×C₄×D₄	—	2	1	no	—
422	C₃×C₄×D₄	—	2	1	no	—
423	C₃×C₄×D₄	—	3	1	no	—
424	C₃×C₄×D₄	—	3	2	no	—
425	C₃×C₄×D₄	—	3	2	no	—
426	C₃×C₄×D₄	—	3	2	no	—
427	C₃×C₄×D₄	—	3	1	no	—
428	C₃×C₄×D₄	—	3	1	no	—
429	C₃×C₄×D₄	—	3	2	no	—
430	C₃×C₄×D₄	—	3	2	no	—
431	C₃×C₄×D₄	—	3	2	no	—
432	C₃×C₄×D₄	—	3	1	no	—
433	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
434	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
435	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
436	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
437	C₃×#117	—	3	2	no	—
438	C₃×#117	—	3	1	no	—
439	C₂×C₃×C₄⋊C₄	—	3	2	no	—
440	C₂×C₃×C₄⋊C₄	—	3	1	no	—
441	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
442	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
443	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
444	#953	C₂²×C₃	1	2	yes	complemented
445	#953	C₂²×C₃	1	2	yes	complemented
446	C₂×#217	C₂²×C₃	1	2	yes	complemented
447	#940	C₂²×C₃	1	1	yes	characteristic, complemented
448	#940	C₂²×C₃	1	2	yes	complemented
449	#940	C₂²×C₃	1	2	yes	complemented
450	#939	C₂²×C₃	1	2	yes	complemented
451	#939	C₂²×C₃	1	2	yes	complemented
452	#939	C₂²×C₃	1	2	yes	complemented
453	#939	C₂²×C₃	1	2	yes	complemented
454	#939	C₂²×C₃	1	2	yes	complemented
455	#939	C₂²×C₃	1	2	yes	complemented
456	#939	C₂²×C₃	1	1	yes	characteristic, complemented
457	#939	C₂²×C₃	1	2	yes	complemented
458	#939	C₂²×C₃	1	2	yes	complemented
459	#939	C₂²×C₃	1	2	yes	complemented
460	#939	C₂²×C₃	1	2	yes	complemented
461	#939	C₂²×C₃	1	2	yes	complemented
462	#938	C₂²×C₃	1	1	yes	characteristic, complemented
463	#938	C₂²×C₃	1	1	yes	characteristic, complemented
464	#938	C₂²×C₃	1	2	yes	complemented
465	#937	C₂²×C₃	1	2	yes	complemented
466	#937	C₂²×C₃	1	2	yes	complemented
467	#937	C₂²×C₃	1	1	yes	characteristic, complemented
468	#937	C₂²×C₃	1	2	yes	complemented
469	#936	C₂²×C₃	1	1	yes	characteristic, complemented
470	#935	C₂²×C₃	1	2	yes	complemented
471	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
472	D₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
473	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
474	#930	C₂²×C₃	1	1	yes	characteristic, complemented
475	#930	C₂²×C₃	1	2	yes	complemented
476	C₄×#67	C₂²×C₃	1	2	yes	complemented
477	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
478	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
479	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	complemented
480	#924	C₂²×C₃	1	1	yes	characteristic, complemented
481	C₂×Dic₃⋊C₄	C₂²×C₃	1	2	yes	complemented
482	#897	C₂²×C₃	1	1	yes	characteristic, complemented
483	#896	C₂²×C₃	1	1	yes	characteristic, complemented
484	#896	C₂²×C₃	1	2	yes	complemented
485	#895	C₂²×C₃	1	1	yes	characteristic, complemented
486	#894	C₂²×C₃	1	1	yes	characteristic, complemented
487	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
488	#887	C₂²×C₃	1	1	yes	characteristic, complemented
489	#886	C₂²×C₃	1	2	yes	complemented
490	#885	C₂²×C₃	1	2	yes	complemented
491	#885	C₂²×C₃	1	2	yes	complemented
492	#884	C₂²×C₃	1	1	yes	characteristic, complemented
493	#884	C₂²×C₃	1	2	yes	complemented
494	#884	C₂²×C₃	1	2	yes	complemented
495	#884	C₂²×C₃	1	2	yes	complemented
496	#883	C₂²×C₃	1	1	yes	characteristic, complemented
497	#882	C₂²×C₃	1	1	yes	characteristic, complemented
498	#882	C₂²×C₃	1	2	yes	complemented
499	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
500	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
501	#67⋊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	#878	C₂²×C₃	1	2	yes	complemented
505	#878	C₂²×C₃	1	2	yes	complemented
506	#877	C₂²×C₃	1	2	yes	complemented
507	#875	C₂²×C₃	1	1	yes	characteristic, complemented
508	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
509	#872	C₂²×C₃	1	1	yes	characteristic, complemented
510	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
511	C₂³×C₃²	—	2	4	no	—
512	C₂³×C₃²	—	2	4	no	—
513	C₂³×C₃²	—	2	4	no	—
514	C₂³×C₃²	—	4	2	no	—
515	C₂³×C₃²	—	4	2	no	—
516	C₂³×C₃²	—	4	2	no	—
517	C₂³×C₃²	C₂⁴	1	2	yes	—
518	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
519	C₂³×C₃²	C₂⁴	1	2	yes	—
520	C₂³×C₃²	C₂⁴	1	2	yes	—
521	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
522	C₂²×C₃×D₃	—	2	2	no	—
523	C₂²×C₃×D₃	—	2	4	no	—
524	C₂²×C₃×D₃	—	2	2	no	—
525	C₂²×C₃×D₃	—	2	4	no	—
526	C₂²×C₃×D₃	—	4	1	no	—
527	C₂²×C₃×D₃	—	4	2	no	—
528	C₂²×C₃×D₃	—	4	2	no	—
529	C₂²×C₃×D₃	—	4	2	no	—
530	C₂²×C₃×D₃	—	4	2	no	—
531	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
532	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
533	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
534	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
535	C₃²×D₄	—	2	2	no	—
536	C₃²×D₄	—	2	4	no	—
537	C₃²×D₄	—	2	4	no	—
538	C₃²×D₄	—	2	4	no	—
539	C₃²×D₄	—	2	2	no	—
540	C₃²×D₄	—	2	2	no	—
541	C₃²×D₄	—	4	2	no	—
542	C₃²×D₄	—	4	2	no	—
543	C₃²×D₄	—	4	2	no	—
544	C₃²×D₄	C₂×D₄	1	4	yes	complemented
545	C₂×C₃²×C₄	—	2	2	no	—
546	C₂×C₃²×C₄	—	2	2	no	—
547	C₂×C₃²×C₄	—	4	2	no	—
548	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
549	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
550	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
551	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
552	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
553	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
554	C₃×#67	—	2	4	no	—
555	C₃×#67	—	2	4	no	—
556	C₃×#67	—	2	4	no	—
557	C₃×#67	—	2	2	no	—
558	C₃×#67	—	2	2	no	—
559	C₃×#67	—	2	4	no	—
560	C₃×#67	—	2	4	no	—
561	C₃×#67	—	2	2	no	—
562	C₃×#67	—	2	4	no	—
563	C₃×#67	—	2	4	no	—
564	C₃×#67	—	2	4	no	—
565	C₃×#67	—	4	2	no	—
566	C₃×#67	—	4	2	no	—
567	C₃×#67	—	4	2	no	—
568	C₃×#67	—	4	1	no	—
569	C₃×#67	—	4	2	no	—
570	C₃×#67	C₂×D₄	1	8	yes	complemented
571	C₂×C₃×Dic₃	—	2	4	no	—
572	C₂×C₃×Dic₃	—	2	4	no	—
573	C₂×C₃×Dic₃	—	2	2	no	—
574	C₂×C₃×Dic₃	—	2	4	no	—
575	C₂×C₃×Dic₃	—	2	4	no	—
576	C₂×C₃×Dic₃	—	2	4	no	—
577	C₂×C₃×Dic₃	—	4	2	no	—
578	C₂×C₃×Dic₃	C₂×D₄	1	8	yes	complemented
579	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
580	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
581	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
582	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
583	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
584	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
585	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
586	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
587	C₃×D₁₂	—	2	2	no	—
588	C₃×D₁₂	—	2	2	no	—
589	C₃×D₁₂	—	4	1	no	—
590	C₃×D₁₂	—	4	2	no	—
591	C₃×C₄×D₃	—	2	2	no	—
592	C₃×C₄×D₃	—	2	2	no	—
593	C₃×C₄×D₃	—	2	2	no	—
594	C₃×C₄×D₃	—	2	2	no	—
595	C₃×C₄×D₃	—	2	4	no	—
596	C₃×C₄×D₃	—	4	2	no	—
597	C₃×C₄×D₃	C₂×D₄	1	4	yes	complemented
598	C₃×Dic₆	—	2	2	no	—
599	C₃×Dic₆	—	2	4	no	—
600	C₃×Dic₆	—	2	2	no	—
601	C₃×Dic₆	C₂×D₄	1	4	yes	complemented
602	C₂×H(5,𝔽₂)	—	3	1	no	—
603	C₂²×#41	—	3	1	no	—
604	#550	—	3	1	no	—
605	#550	—	3	1	no	—
606	#548	—	3	1	no	—
607	#548	—	3	1	no	—
608	#546	—	3	1	no	—
609	#546	—	3	2	no	—
610	#546	—	3	2	no	—
611	#546	—	3	1	no	—
612	D₄²	—	3	1	no	—
613	D₄²	—	3	2	no	—
614	D₄²	—	3	2	no	—
615	D₄²	C₃×D₃	1	1	yes	characteristic, complemented
616	#537	—	3	2	no	—
617	#537	—	3	1	no	—
618	#535	—	3	1	no	—
619	#535	—	3	2	no	—
620	#525	—	3	2	no	—
621	#525	—	3	1	no	—
622	C₂×#121	—	3	2	no	—
623	C₂×#121	—	3	1	no	—
624	#520	—	3	1	no	—
625	C₂⁴×C₃	—	2	2	no	—
626	C₂⁴×C₃	—	2	2	no	—
627	C₂⁴×C₃	—	3	1	no	—
628	C₂⁴×C₃	—	3	2	no	—
629	C₂⁴×C₃	—	3	2	no	—
630	C₂⁴×C₃	C₂²×D₃	1	2	yes	—
631	C₂⁴×C₃	C₂²×D₃	1	2	yes	—
632	C₂⁴×C₃	C₂³×C₃	1	2	yes	—
633	C₂⁴×C₃	C₂³×C₃	1	2	yes	—
634	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
635	C₂³×D₃	C₂³×C₃	1	2	yes	—
636	C₂³×D₃	C₂³×C₃	1	2	yes	—
637	C₃×#41	—	3	8	no	—
638	C₃×#41	—	6	4	no	—
639	C₃×#41	—	6	4	no	—
640	C₃×#41	—	6	8	no	—
641	C₃×#41	—	6	4	no	—
642	C₃×#41	—	6	8	no	—
643	C₃×#41	—	6	8	no	—
644	C₃×#41	—	6	4	no	—
645	C₃×#41	—	6	4	no	—
646	C₃×#41	—	6	4	no	—
647	C₂×C₃×Q₈	—	3	1	no	—
648	C₂×C₃×Q₈	—	3	1	no	—
649	C₂×C₃×Q₈	—	3	2	no	—
650	C₂×C₃×Q₈	—	3	1	no	—
651	C₂×C₃×Q₈	—	6	4	no	—
652	C₂×C₃×D₄	—	2	4	no	—
653	C₂×C₃×D₄	—	2	4	no	—
654	C₂×C₃×D₄	—	2	4	no	—
655	C₂×C₃×D₄	—	2	4	no	—
656	C₂×C₃×D₄	—	2	1	no	—
657	C₂×C₃×D₄	—	2	1	no	—
658	C₂×C₃×D₄	—	2	2	no	—
659	C₂×C₃×D₄	—	2	2	no	—
660	C₂×C₃×D₄	—	2	2	no	—
661	C₂×C₃×D₄	—	2	2	no	—
662	C₂×C₃×D₄	—	2	1	no	—
663	C₂×C₃×D₄	—	2	1	no	—
664	C₂×C₃×D₄	—	2	2	no	—
665	C₂×C₃×D₄	—	2	2	no	—
666	C₂×C₃×D₄	—	3	2	no	—
667	C₂×C₃×D₄	—	3	1	no	—
668	C₂×C₃×D₄	—	3	2	no	—
669	C₂×C₃×D₄	—	3	2	no	—
670	C₂×C₃×D₄	—	3	2	no	—
671	C₂×C₃×D₄	—	3	1	no	—
672	C₂×C₃×D₄	—	3	2	no	—
673	C₂×C₃×D₄	—	3	2	no	—
674	C₂×C₃×D₄	—	3	1	no	—
675	C₂×C₃×D₄	—	3	2	no	—
676	C₂×C₃×D₄	—	3	2	no	—
677	C₂×C₃×D₄	—	3	2	no	—
678	C₂×C₃×D₄	—	3	2	no	—
679	C₂×C₃×D₄	—	3	1	no	—
680	C₂×C₃×D₄	—	3	2	no	—
681	C₂×C₃×D₄	—	3	2	no	—
682	C₂×C₃×D₄	—	3	2	no	—
683	C₂×C₃×D₄	—	3	1	no	—
684	C₂×C₃×D₄	—	3	1	no	—
685	C₂×C₃×D₄	—	3	1	no	—
686	C₂×C₃×D₄	—	3	2	no	—
687	C₂×C₃×D₄	—	4	4	no	—
688	C₂×C₃×D₄	—	4	4	no	—
689	C₂×C₃×D₄	—	4	4	no	—
690	C₂×C₃×D₄	—	4	4	no	—
691	C₂×C₃×D₄	—	4	8	no	—
692	C₂×C₃×D₄	—	6	4	no	—
693	C₂×C₃×D₄	—	6	8	no	—
694	C₂×C₃×D₄	—	6	8	no	—
695	C₂×C₃×D₄	—	6	8	no	—
696	C₂×C₃×D₄	—	6	8	no	—
697	C₂×C₃×D₄	—	6	4	no	—
698	C₂×C₃×D₄	—	12	4	no	—
699	C₂×C₃×D₄	—	12	4	no	—
700	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
701	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
702	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
703	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
704	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
705	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
706	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
707	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
708	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
709	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
710	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
711	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
712	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
713	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
714	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
715	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
716	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
717	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
718	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
719	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
720	C₂²×C₃×C₄	—	2	1	no	—
721	C₂²×C₃×C₄	—	2	1	no	—
722	C₂²×C₃×C₄	—	2	2	no	—
723	C₂²×C₃×C₄	—	3	2	no	—
724	C₂²×C₃×C₄	—	3	1	no	—
725	C₂²×C₃×C₄	—	3	2	no	—
726	C₂²×C₃×C₄	—	3	2	no	—
727	C₂²×C₃×C₄	—	3	2	no	—
728	C₂²×C₃×C₄	—	3	2	no	—
729	C₂²×C₃×C₄	—	3	1	no	—
730	C₂²×C₃×C₄	—	3	2	no	—
731	C₂²×C₃×C₄	—	3	2	no	—
732	C₂²×C₃×C₄	—	3	1	no	—
733	C₂²×C₃×C₄	—	3	1	no	—
734	C₂²×C₃×C₄	—	3	2	no	—
735	C₂²×C₃×C₄	—	3	1	no	—
736	C₂²×C₃×C₄	—	3	1	no	—
737	C₂²×C₃×C₄	—	3	2	no	—
738	C₂²×C₃×C₄	—	6	4	no	—
739	C₂²×C₃×C₄	—	6	8	no	—
740	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
741	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
742	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
743	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
744	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
745	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
746	C₂×#67	—	2	8	no	—
747	C₂×#67	—	2	8	no	—
748	C₂×#67	—	2	8	no	—
749	C₂×#67	—	4	4	no	—
750	C₂×#67	C₂³×C₃	1	2	yes	—
751	C₂×#67	C₂³×C₃	1	1	yes	characteristic
752	C₂×#67	C₂³×C₃	1	2	yes	—
753	C₂×#67	C₂³×C₃	1	1	yes	characteristic
754	C₂×#67	C₂³×C₃	1	2	yes	—
755	C₂×#67	C₂³×C₃	1	1	yes	characteristic
756	C₂×#67	C₂³×C₃	1	2	yes	—
757	C₂×#67	C₂³×C₃	1	2	yes	—
758	C₂×#67	C₂³×C₃	1	2	yes	—
759	C₂×#67	C₂³×C₃	1	2	yes	—
760	C₂×#67	C₂³×C₃	1	2	yes	—
761	C₂×#67	C₂³×C₃	1	2	yes	—
762	C₂×#67	C₂³×C₃	1	1	yes	characteristic
763	C₂×#67	C₂³×C₃	1	2	yes	—
764	C₂×#67	C₂³×C₃	1	2	yes	—
765	C₂×#67	C₂³×C₃	1	2	yes	—
766	C₂×#67	C₂³×C₃	1	2	yes	—
767	C₂²×Dic₃	—	2	8	no	—
768	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
769	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
770	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
771	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
772	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
773	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
774	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
775	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
776	#237	—	2	4	no	—
777	#237	—	2	8	no	—
778	#237	—	2	8	no	—
779	#237	—	2	8	no	—
780	#237	—	2	4	no	—
781	#237	—	2	4	no	—
782	#237	—	2	4	no	—
783	#237	C₃×D₄	1	8	yes	complemented
784	D₃×D₄	—	2	4	no	—
785	D₃×D₄	—	2	8	no	—
786	D₃×D₄	—	2	4	no	—
787	D₃×D₄	—	4	4	no	—
788	#235	—	2	4	no	—
789	#235	—	2	4	no	—
790	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
791	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
792	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
793	C₂×D₁₂	C₂³×C₃	1	2	yes	—
794	C₂×C₄×D₃	—	2	4	no	—
795	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
796	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
797	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
798	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
799	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
800	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
801	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
802	C₂×Dic₆	—	2	4	no	—
803	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
804	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
805	C₂×Dic₆	C₂³×C₃	1	2	yes	—
806	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
807	C₃×C₄⋊C₄	—	2	1	no	—
808	C₃×C₄⋊C₄	—	2	1	no	—
809	C₃×C₄⋊C₄	—	3	2	no	—
810	C₃×C₄⋊C₄	—	3	1	no	—
811	C₃×C₄⋊C₄	—	3	2	no	—
812	C₃×C₄⋊C₄	—	3	2	no	—
813	C₃×C₄⋊C₄	—	3	1	no	—
814	C₃×C₄⋊C₄	—	3	1	no	—
815	C₃×C₄⋊C₄	—	3	2	no	—
816	C₃×C₄⋊C₄	—	3	1	no	—
817	C₃×C₄⋊C₄	—	3	1	no	—
818	C₃×C₄⋊C₄	—	3	1	no	—
819	C₃×C₄⋊C₄	—	3	2	no	—
820	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
821	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
822	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
823	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
824	C₃×C₂²⋊C₄	—	2	2	no	—
825	C₃×C₂²⋊C₄	—	2	1	no	—
826	C₃×C₂²⋊C₄	—	2	1	no	—
827	C₃×C₂²⋊C₄	—	2	2	no	—
828	C₃×C₂²⋊C₄	—	2	2	no	—
829	C₃×C₂²⋊C₄	—	3	2	no	—
830	C₃×C₂²⋊C₄	—	3	1	no	—
831	C₃×C₂²⋊C₄	—	3	2	no	—
832	C₃×C₂²⋊C₄	—	3	2	no	—
833	C₃×C₂²⋊C₄	—	3	2	no	—
834	C₃×C₂²⋊C₄	—	3	1	no	—
835	C₃×C₂²⋊C₄	—	3	2	no	—
836	C₃×C₂²⋊C₄	—	3	2	no	—
837	C₃×C₂²⋊C₄	—	3	2	no	—
838	C₃×C₂²⋊C₄	—	3	1	no	—
839	C₃×C₂²⋊C₄	—	3	2	no	—
840	C₃×C₂²⋊C₄	—	3	2	no	—
841	C₃×C₂²⋊C₄	—	3	2	no	—
842	C₃×C₂²⋊C₄	—	3	1	no	—
843	C₃×C₂²⋊C₄	—	3	1	no	—
844	C₃×C₂²⋊C₄	—	3	1	no	—
845	C₃×C₂²⋊C₄	—	3	2	no	—
846	C₃×C₂²⋊C₄	—	3	1	no	—
847	C₃×C₂²⋊C₄	—	3	1	no	—
848	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
849	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
850	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
851	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
852	C₃×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
853	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
854	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
855	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
856	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
857	C₃×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
858	C₃×C₄²	—	2	1	no	—
859	C₃×C₄²	—	3	2	no	—
860	C₃×C₄²	—	3	2	no	—
861	C₃×C₄²	—	3	1	no	—
862	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
863	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
864	#217	C₂³×C₃	1	2	yes	—
865	#217	C₂³×C₃	1	1	yes	characteristic
866	#217	C₂³×C₃	1	2	yes	—
867	#217	C₂³×C₃	1	2	yes	—
868	#217	C₂³×C₃	1	2	yes	—
869	#217	C₂³×C₃	1	1	yes	characteristic
870	#217	C₂³×C₃	1	2	yes	—
871	#217	C₂³×C₃	1	2	yes	—
872	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
873	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
874	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
875	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
876	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
877	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
878	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
879	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
880	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
881	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
882	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
883	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
884	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
885	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
886	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
887	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
888	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
889	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
890	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
891	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
892	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
893	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
894	C₄×Dic₃	C₂³×C₃	1	2	yes	—
895	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
896	C₄×Dic₃	C₂³×C₃	1	2	yes	—
897	C₂²×C₃²	—	2	1	no	—
898	C₂²×C₃²	—	2	1	no	—
899	C₂²×C₃²	—	2	2	no	—
900	C₂²×C₃²	—	2	1	no	—
901	C₂²×C₃²	—	2	2	no	—
902	C₂²×C₃²	—	2	2	no	—
903	C₂²×C₃²	—	2	2	no	—
904	C₂²×C₃²	—	2	1	no	—
905	C₂²×C₃²	—	2	2	no	—
906	C₂²×C₃²	—	2	2	no	—
907	C₂²×C₃²	—	2	2	no	—
908	C₂²×C₃²	—	2	1	no	—
909	C₂²×C₃²	—	2	2	no	—
910	C₂²×C₃²	—	4	8	no	—
911	C₂²×C₃²	—	8	4	no	—
912	C₂²×C₃²	C₂²×D₄	1	4	yes	—
913	C₂²×C₃²	H(5,𝔽₂)	1	2	yes	complemented
914	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
915	C₂×C₃×D₃	—	2	1	no	—
916	C₂×C₃×D₃	—	2	1	no	—
917	C₂×C₃×D₃	—	2	1	no	—
918	C₂×C₃×D₃	—	2	1	no	—
919	C₂×C₃×D₃	—	2	2	no	—
920	C₂×C₃×D₃	—	2	1	no	—
921	C₂×C₃×D₃	—	2	2	no	—
922	C₂×C₃×D₃	—	2	1	no	—
923	C₂×C₃×D₃	—	2	1	no	—
924	C₂×C₃×D₃	—	2	1	no	—
925	C₂×C₃×D₃	—	2	2	no	—
926	C₂×C₃×D₃	—	4	4	no	—
927	C₂×C₃×D₃	—	8	4	no	—
928	C₂×C₃×D₃	—	8	4	no	—
929	C₂×C₃×D₃	C₂²×D₄	1	2	yes	—
930	C₃²×C₄	—	2	1	no	—
931	C₃²×C₄	—	2	1	no	—
932	C₃²×C₄	—	2	1	no	—
933	C₃²×C₄	—	2	2	no	—
934	C₃²×C₄	—	2	1	no	—
935	C₃²×C₄	C₂²×D₄	1	2	yes	—
936	C₃×Dic₃	—	2	2	no	—
937	C₃×Dic₃	—	2	1	no	—
938	C₃×Dic₃	—	2	1	no	—
939	C₃×Dic₃	—	2	2	no	—
940	C₃×Dic₃	—	2	1	no	—
941	C₃×Dic₃	—	2	1	no	—
942	C₃×Dic₃	C₂²×D₄	1	4	yes	—
943	C₃×Dic₃	C₂²×D₄	1	2	yes	—
944	H(5,𝔽₂)	—	6	8	no	—
945	C₂×#41	—	3	1	no	—
946	C₂×#41	—	3	2	no	—
947	C₂×#41	—	3	2	no	—
948	C₂×#41	—	3	1	no	—
949	C₂×#41	—	3	1	no	—
950	C₂×#41	—	3	2	no	—
951	C₂×#41	—	3	1	no	—
952	C₂×#41	—	3	1	no	—
953	C₂×#41	—	3	1	no	—
954	C₂×#41	—	3	1	no	—
955	C₂×#41	—	6	8	no	—
956	C₂²×Q₈	—	3	1	no	—
957	C₂²×D₄	—	3	2	no	—
958	C₂²×D₄	—	3	2	no	—
959	C₂²×D₄	—	3	2	no	—
960	C₂²×D₄	—	3	2	no	—
961	C₂²×D₄	—	3	1	no	—
962	C₂²×D₄	—	3	2	no	—
963	C₂²×D₄	—	3	1	no	—
964	C₂²×D₄	—	3	2	no	—
965	C₂²×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
966	C₂²×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
967	C₂²×D₄	C₂×C₃×D₃	1	2	yes	complemented
968	C₂³×C₄	—	3	2	no	—
969	C₂³×C₄	—	3	1	no	—
970	#127	—	3	2	no	—
971	#127	—	3	2	no	—
972	#127	—	3	1	no	—
973	#127	C₂×C₃×D₃	1	1	yes	characteristic, complemented
974	#124	—	3	1	no	—
975	#124	—	3	2	no	—
976	#124	—	3	2	no	—
977	#124	—	3	1	no	—
978	#123	—	3	2	no	—
979	#123	—	3	1	no	—
980	#123	—	3	1	no	—
981	#123	—	3	2	no	—
982	C₂²⋊Q₈	—	3	1	no	—
983	C₂²⋊Q₈	—	3	1	no	—
984	C₂²⋊Q₈	—	3	2	no	—
985	C₂²⋊Q₈	—	3	1	no	—
986	C₂²⋊Q₈	—	3	1	no	—
987	C₂²⋊Q₈	—	3	2	no	—
988	C₂²⋊Q₈	—	3	2	no	—
989	#121	—	3	2	no	—
990	#121	—	3	1	no	—
991	#121	—	3	2	no	—
992	#121	—	3	2	no	—
993	#121	—	3	2	no	—
994	#121	—	3	2	no	—
995	#121	—	3	1	no	—
996	#121	—	3	2	no	—
997	#121	—	3	2	no	—
998	#121	—	3	2	no	—
999	#121	—	3	2	no	—
1000	#121	—	3	2	no	—
1001	#121	—	3	2	no	—
1002	#121	—	3	1	no	—
1003	#121	—	3	2	no	—
1004	#121	—	3	1	no	—
1005	#121	—	3	2	no	—
1006	#121	—	3	1	no	—
1007	#121	—	3	2	no	—
1008	#121	—	3	1	no	—
1009	#121	—	3	2	no	—
1010	#121	—	3	2	no	—
1011	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1012	#121	C₂×C₃×D₃	1	2	yes	complemented
1013	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1014	#120	—	3	2	no	—
1015	#120	—	3	2	no	—
1016	#120	—	3	1	no	—
1017	#120	—	3	2	no	—
1018	#120	—	3	2	no	—
1019	#120	—	3	2	no	—
1020	#120	—	3	1	no	—
1021	#120	—	3	2	no	—
1022	#120	C₂×C₃×D₃	1	2	yes	complemented
1023	#120	C₂×C₃×D₃	1	2	yes	complemented
1024	C₄×Q₈	—	3	1	no	—
1025	C₄×Q₈	—	3	1	no	—
1026	C₄×D₄	—	3	1	no	—
1027	C₄×D₄	—	3	2	no	—
1028	C₄×D₄	—	3	2	no	—
1029	C₄×D₄	—	3	2	no	—
1030	C₄×D₄	—	3	1	no	—
1031	C₄×D₄	—	3	1	no	—
1032	C₄×D₄	—	3	2	no	—
1033	C₄×D₄	—	3	2	no	—
1034	C₄×D₄	—	3	2	no	—
1035	C₄×D₄	—	3	1	no	—
1036	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1037	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1038	#117	—	3	2	no	—
1039	#117	—	3	1	no	—
1040	C₂×C₄⋊C₄	—	3	2	no	—
1041	C₂×C₄⋊C₄	—	3	1	no	—
1042	C₂×C₂²⋊C₄	—	3	2	no	—
1043	C₂×C₂²⋊C₄	—	3	2	no	—
1044	C₂×C₂²⋊C₄	—	3	2	no	—
1045	C₂³×C₃	—	2	4	no	—
1046	C₂³×C₃	—	2	4	no	—
1047	C₂³×C₃	—	2	4	no	—
1048	C₂³×C₃	—	2	4	no	—
1049	C₂³×C₃	—	2	4	no	—
1050	C₂³×C₃	—	2	4	no	—
1051	C₂³×C₃	—	2	1	no	—
1052	C₂³×C₃	—	2	2	no	—
1053	C₂³×C₃	—	2	1	no	—
1054	C₂³×C₃	—	2	2	no	—
1055	C₂³×C₃	—	2	2	no	—
1056	C₂³×C₃	—	3	1	no	—
1057	C₂³×C₃	—	3	2	no	—
1058	C₂³×C₃	—	3	1	no	—
1059	C₂³×C₃	—	3	1	no	—
1060	C₂³×C₃	—	4	4	no	—
1061	C₂³×C₃	—	4	4	no	—
1062	C₂³×C₃	—	4	4	no	—
1063	C₂³×C₃	—	4	2	no	—
1064	C₂³×C₃	—	4	2	no	—
1065	C₂³×C₃	—	4	2	no	—
1066	C₂³×C₃	—	4	2	no	—
1067	C₂³×C₃	—	4	2	no	—
1068	C₂³×C₃	—	4	2	no	—
1069	C₂³×C₃	—	4	4	no	—
1070	C₂³×C₃	—	6	2	no	—
1071	C₂³×C₃	—	6	4	no	—
1072	C₂³×C₃	—	6	2	no	—
1073	C₂³×C₃	—	6	4	no	—
1074	C₂³×C₃	—	8	2	no	—
1075	C₂³×C₃	—	8	2	no	—
1076	C₂³×C₃	—	12	1	no	—
1077	C₂³×C₃	—	12	2	no	—
1078	C₂³×C₃	—	12	2	no	—
1079	C₂³×C₃	—	12	2	no	—
1080	C₂³×C₃	—	12	2	no	—
1081	C₂³×C₃	C₂³×D₃	1	2	yes	—
1082	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1083	C₂³×C₃	C₂³×D₃	1	2	yes	—
1084	C₂³×C₃	C₂³×D₃	1	2	yes	—
1085	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1086	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
1087	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1088	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
1089	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
1090	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1091	C₂²×D₃	—	2	2	no	—
1092	C₂²×D₃	—	2	4	no	—
1093	C₂²×D₃	—	2	2	no	—
1094	C₂²×D₃	—	2	4	no	—
1095	C₂²×D₃	—	4	1	no	—
1096	C₂²×D₃	—	4	2	no	—
1097	C₂²×D₃	—	4	2	no	—
1098	C₂²×D₃	—	4	2	no	—
1099	C₂²×D₃	—	4	2	no	—
1100	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
1101	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1102	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1103	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1104	C₃×Q₈	—	3	4	no	—
1105	C₃×Q₈	—	6	4	no	—
1106	C₃×Q₈	—	6	2	no	—
1107	C₃×Q₈	—	6	2	no	—
1108	C₃×D₄	—	2	4	no	—
1109	C₃×D₄	—	2	4	no	—
1110	C₃×D₄	—	2	4	no	—
1111	C₃×D₄	—	2	2	no	—
1112	C₃×D₄	—	2	4	no	—
1113	C₃×D₄	—	2	4	no	—
1114	C₃×D₄	—	2	4	no	—
1115	C₃×D₄	—	2	4	no	—
1116	C₃×D₄	—	2	2	no	—
1117	C₃×D₄	—	2	2	no	—
1118	C₃×D₄	—	2	2	no	—
1119	C₃×D₄	—	2	2	no	—
1120	C₃×D₄	—	2	2	no	—
1121	C₃×D₄	—	2	4	no	—
1122	C₃×D₄	—	3	8	no	—
1123	C₃×D₄	—	4	2	no	—
1124	C₃×D₄	—	4	2	no	—
1125	C₃×D₄	—	4	4	no	—
1126	C₃×D₄	—	4	4	no	—
1127	C₃×D₄	—	4	4	no	—
1128	C₃×D₄	—	4	2	no	—
1129	C₃×D₄	—	4	2	no	—
1130	C₃×D₄	—	4	2	no	—
1131	C₃×D₄	—	4	2	no	—
1132	C₃×D₄	—	4	2	no	—
1133	C₃×D₄	—	4	2	no	—
1134	C₃×D₄	—	4	4	no	—
1135	C₃×D₄	—	4	4	no	—
1136	C₃×D₄	—	6	2	no	—
1137	C₃×D₄	—	6	2	no	—
1138	C₃×D₄	—	6	4	no	—
1139	C₃×D₄	—	6	4	no	—
1140	C₃×D₄	—	6	4	no	—
1141	C₃×D₄	—	6	4	no	—
1142	C₃×D₄	—	6	2	no	—
1143	C₃×D₄	—	6	4	no	—
1144	C₃×D₄	—	6	4	no	—
1145	C₃×D₄	—	6	4	no	—
1146	C₃×D₄	—	6	4	no	—
1147	C₃×D₄	—	6	2	no	—
1148	C₃×D₄	—	6	2	no	—
1149	C₃×D₄	—	8	2	no	—
1150	C₃×D₄	—	12	1	no	—
1151	C₃×D₄	—	12	2	no	—
1152	C₃×D₄	—	12	2	no	—
1153	C₃×D₄	—	12	1	no	—
1154	C₃×D₄	—	12	2	no	—
1155	C₃×D₄	—	12	2	no	—
1156	C₃×D₄	—	12	2	no	—
1157	C₃×D₄	D₃×D₄	1	4	yes	complemented
1158	C₃×D₄	C₂×C₃×D₄	1	4	yes	complemented
1159	C₂×C₃×C₄	—	2	2	no	—
1160	C₂×C₃×C₄	—	2	2	no	—
1161	C₂×C₃×C₄	—	2	2	no	—
1162	C₂×C₃×C₄	—	2	2	no	—
1163	C₂×C₃×C₄	—	2	1	no	—
1164	C₂×C₃×C₄	—	2	1	no	—
1165	C₂×C₃×C₄	—	2	1	no	—
1166	C₂×C₃×C₄	—	2	2	no	—
1167	C₂×C₃×C₄	—	2	1	no	—
1168	C₂×C₃×C₄	—	2	1	no	—
1169	C₂×C₃×C₄	—	3	8	no	—
1170	C₂×C₃×C₄	—	3	2	no	—
1171	C₂×C₃×C₄	—	3	1	no	—
1172	C₂×C₃×C₄	—	3	4	no	—
1173	C₂×C₃×C₄	—	3	1	no	—
1174	C₂×C₃×C₄	—	3	1	no	—
1175	C₂×C₃×C₄	—	3	2	no	—
1176	C₂×C₃×C₄	—	3	1	no	—
1177	C₂×C₃×C₄	—	3	2	no	—
1178	C₂×C₃×C₄	—	3	1	no	—
1179	C₂×C₃×C₄	—	4	2	no	—
1180	C₂×C₃×C₄	—	4	2	no	—
1181	C₂×C₃×C₄	—	4	2	no	—
1182	C₂×C₃×C₄	—	4	2	no	—
1183	C₂×C₃×C₄	—	4	4	no	—
1184	C₂×C₃×C₄	—	6	2	no	—
1185	C₂×C₃×C₄	—	6	4	no	—
1186	C₂×C₃×C₄	—	6	2	no	—
1187	C₂×C₃×C₄	—	6	2	no	—
1188	C₂×C₃×C₄	—	6	4	no	—
1189	C₂×C₃×C₄	—	6	4	no	—
1190	C₂×C₃×C₄	—	6	4	no	—
1191	C₂×C₃×C₄	—	6	4	no	—
1192	C₂×C₃×C₄	—	6	4	no	—
1193	C₂×C₃×C₄	—	6	2	no	—
1194	C₂×C₃×C₄	—	6	2	no	—
1195	C₂×C₃×C₄	—	12	2	no	—
1196	C₂×C₃×C₄	—	12	2	no	—
1197	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1198	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1199	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1200	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1201	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1202	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1203	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1204	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1205	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1206	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1207	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1208	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1209	#67	—	2	4	no	—
1210	#67	—	2	4	no	—
1211	#67	—	2	4	no	—
1212	#67	—	2	2	no	—
1213	#67	—	2	2	no	—
1214	#67	—	2	4	no	—
1215	#67	—	2	4	no	—
1216	#67	—	2	2	no	—
1217	#67	—	2	4	no	—
1218	#67	—	2	4	no	—
1219	#67	—	2	4	no	—
1220	#67	—	4	2	no	—
1221	#67	—	4	2	no	—
1222	#67	—	4	2	no	—
1223	#67	—	4	1	no	—
1224	#67	—	4	2	no	—
1225	#67	C₂×C₃×D₄	1	8	yes	complemented
1226	C₂×Dic₃	—	2	4	no	—
1227	C₂×Dic₃	—	2	4	no	—
1228	C₂×Dic₃	—	2	2	no	—
1229	C₂×Dic₃	—	2	4	no	—
1230	C₂×Dic₃	—	2	4	no	—
1231	C₂×Dic₃	—	2	4	no	—
1232	C₂×Dic₃	—	4	2	no	—
1233	C₂×Dic₃	C₂×C₃×D₄	1	8	yes	complemented
1234	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1235	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1236	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1237	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1238	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1239	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1240	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1241	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1242	D₁₂	—	2	2	no	—
1243	D₁₂	—	2	2	no	—
1244	D₁₂	—	4	1	no	—
1245	D₁₂	—	4	2	no	—
1246	C₄×D₃	—	2	2	no	—
1247	C₄×D₃	—	2	2	no	—
1248	C₄×D₃	—	2	2	no	—
1249	C₄×D₃	—	2	2	no	—
1250	C₄×D₃	—	2	4	no	—
1251	C₄×D₃	—	4	2	no	—
1252	C₄×D₃	C₂×C₃×D₄	1	4	yes	complemented
1253	Dic₆	—	2	2	no	—
1254	Dic₆	—	2	4	no	—
1255	Dic₆	—	2	2	no	—
1256	Dic₆	C₂×C₃×D₄	1	4	yes	complemented
1257	C₂×C₃²	—	2	2	no	—
1258	C₂×C₃²	—	2	4	no	—
1259	C₂×C₃²	—	4	1	no	—
1260	C₂×C₃²	—	4	2	no	—
1261	C₂×C₃²	—	4	2	no	—
1262	C₂×C₃²	C₂³×D₄	1	1	yes	characteristic
1263	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1264	C₂×C₃²	#585	1	1	yes	characteristic
1265	C₃×D₃	—	2	2	no	—
1266	C₃×D₃	—	4	1	no	—
1267	C₃×D₃	—	4	2	no	—
1268	C₃×D₃	—	4	1	no	—
1269	C₂⁴	—	3	1	no	—
1270	C₂⁴	—	3	2	no	—
1271	C₂⁴	—	3	2	no	—
1272	C₂⁴	C₂²×C₃×D₃	1	2	yes	—
1273	C₂⁴	C₂²×C₃×D₃	1	2	yes	—
1274	#41	—	3	8	no	—
1275	#41	—	6	4	no	—
1276	#41	—	6	4	no	—
1277	#41	—	6	8	no	—
1278	#41	—	6	4	no	—
1279	#41	—	6	8	no	—
1280	#41	—	6	8	no	—
1281	#41	—	6	4	no	—
1282	#41	—	6	4	no	—
1283	#41	—	6	4	no	—
1284	C₂×Q₈	—	3	1	no	—
1285	C₂×Q₈	—	3	1	no	—
1286	C₂×Q₈	—	3	2	no	—
1287	C₂×Q₈	—	3	1	no	—
1288	C₂×Q₈	—	6	4	no	—
1289	C₂×D₄	—	2	4	no	—
1290	C₂×D₄	—	2	4	no	—
1291	C₂×D₄	—	3	2	no	—
1292	C₂×D₄	—	3	1	no	—
1293	C₂×D₄	—	3	2	no	—
1294	C₂×D₄	—	3	2	no	—
1295	C₂×D₄	—	3	2	no	—
1296	C₂×D₄	—	3	1	no	—
1297	C₂×D₄	—	3	2	no	—
1298	C₂×D₄	—	3	2	no	—
1299	C₂×D₄	—	3	1	no	—
1300	C₂×D₄	—	3	2	no	—
1301	C₂×D₄	—	3	2	no	—
1302	C₂×D₄	—	3	2	no	—
1303	C₂×D₄	—	3	2	no	—
1304	C₂×D₄	—	3	1	no	—
1305	C₂×D₄	—	3	2	no	—
1306	C₂×D₄	—	3	2	no	—
1307	C₂×D₄	—	3	2	no	—
1308	C₂×D₄	—	3	1	no	—
1309	C₂×D₄	—	3	1	no	—
1310	C₂×D₄	—	3	1	no	—
1311	C₂×D₄	—	3	2	no	—
1312	C₂×D₄	—	4	4	no	—
1313	C₂×D₄	—	6	4	no	—
1314	C₂×D₄	—	6	8	no	—
1315	C₂×D₄	—	6	8	no	—
1316	C₂×D₄	—	6	8	no	—
1317	C₂×D₄	—	6	8	no	—
1318	C₂×D₄	—	6	4	no	—
1319	C₂×D₄	—	12	4	no	—
1320	C₂×D₄	—	12	4	no	—
1321	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1322	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1323	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1324	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1325	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1326	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1327	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1328	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1329	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1330	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1331	C₂²×C₄	—	3	2	no	—
1332	C₂²×C₄	—	3	1	no	—
1333	C₂²×C₄	—	3	2	no	—
1334	C₂²×C₄	—	3	2	no	—
1335	C₂²×C₄	—	3	2	no	—
1336	C₂²×C₄	—	3	2	no	—
1337	C₂²×C₄	—	3	1	no	—
1338	C₂²×C₄	—	3	2	no	—
1339	C₂²×C₄	—	3	2	no	—
1340	C₂²×C₄	—	3	1	no	—
1341	C₂²×C₄	—	3	1	no	—
1342	C₂²×C₄	—	3	2	no	—
1343	C₂²×C₄	—	3	1	no	—
1344	C₂²×C₄	—	3	1	no	—
1345	C₂²×C₄	—	3	2	no	—
1346	C₂²×C₄	—	6	4	no	—
1347	C₂²×C₄	—	6	8	no	—
1348	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1349	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1350	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1351	C₄⋊C₄	—	3	2	no	—
1352	C₄⋊C₄	—	3	1	no	—
1353	C₄⋊C₄	—	3	2	no	—
1354	C₄⋊C₄	—	3	2	no	—
1355	C₄⋊C₄	—	3	1	no	—
1356	C₄⋊C₄	—	3	1	no	—
1357	C₄⋊C₄	—	3	1	no	—
1358	C₄⋊C₄	—	3	1	no	—
1359	C₄⋊C₄	—	3	2	no	—
1360	C₄⋊C₄	—	3	1	no	—
1361	C₄⋊C₄	—	3	2	no	—
1362	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1363	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1364	C₂²⋊C₄	—	3	2	no	—
1365	C₂²⋊C₄	—	3	1	no	—
1366	C₂²⋊C₄	—	3	2	no	—
1367	C₂²⋊C₄	—	3	2	no	—
1368	C₂²⋊C₄	—	3	2	no	—
1369	C₂²⋊C₄	—	3	1	no	—
1370	C₂²⋊C₄	—	3	2	no	—
1371	C₂²⋊C₄	—	3	2	no	—
1372	C₂²⋊C₄	—	3	2	no	—
1373	C₂²⋊C₄	—	3	1	no	—
1374	C₂²⋊C₄	—	3	2	no	—
1375	C₂²⋊C₄	—	3	2	no	—
1376	C₂²⋊C₄	—	3	2	no	—
1377	C₂²⋊C₄	—	3	1	no	—
1378	C₂²⋊C₄	—	3	1	no	—
1379	C₂²⋊C₄	—	3	1	no	—
1380	C₂²⋊C₄	—	3	2	no	—
1381	C₂²⋊C₄	—	3	1	no	—
1382	C₂²⋊C₄	—	3	1	no	—
1383	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1384	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1385	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1386	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1387	C₂²⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1388	C₄²	—	3	2	no	—
1389	C₄²	—	3	2	no	—
1390	C₄²	—	3	1	no	—
1391	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1392	C₂²×C₃	—	2	1	no	—
1393	C₂²×C₃	—	2	2	no	—
1394	C₂²×C₃	—	2	1	no	—
1395	C₂²×C₃	—	2	2	no	—
1396	C₂²×C₃	—	2	1	no	—
1397	C₂²×C₃	—	2	2	no	—
1398	C₂²×C₃	—	2	1	no	—
1399	C₂²×C₃	—	2	2	no	—
1400	C₂²×C₃	—	2	2	no	—
1401	C₂²×C₃	—	2	1	no	—
1402	C₂²×C₃	—	2	2	no	—
1403	C₂²×C₃	—	2	2	no	—
1404	C₂²×C₃	—	2	1	no	—
1405	C₂²×C₃	—	2	2	no	—
1406	C₂²×C₃	—	2	2	no	—
1407	C₂²×C₃	—	2	2	no	—
1408	C₂²×C₃	—	2	2	no	—
1409	C₂²×C₃	—	2	1	no	—
1410	C₂²×C₃	—	2	2	no	—
1411	C₂²×C₃	—	2	2	no	—
1412	C₂²×C₃	—	2	1	no	—
1413	C₂²×C₃	—	2	2	no	—
1414	C₂²×C₃	—	2	2	no	—
1415	C₂²×C₃	—	2	1	no	—
1416	C₂²×C₃	—	2	2	no	—
1417	C₂²×C₃	—	2	1	no	—
1418	C₂²×C₃	—	2	2	no	—
1419	C₂²×C₃	—	2	4	no	—
1420	C₂²×C₃	—	2	2	no	—
1421	C₂²×C₃	—	2	1	no	—
1422	C₂²×C₃	—	3	2	no	—
1423	C₂²×C₃	—	4	1	no	—
1424	C₂²×C₃	—	4	2	no	—
1425	C₂²×C₃	—	4	1	no	—
1426	C₂²×C₃	—	4	1	no	—
1427	C₂²×C₃	—	4	2	no	—
1428	C₂²×C₃	—	4	1	no	—
1429	C₂²×C₃	—	4	2	no	—
1430	C₂²×C₃	—	4	2	no	—
1431	C₂²×C₃	—	4	2	no	—
1432	C₂²×C₃	—	4	2	no	—
1433	C₂²×C₃	—	4	2	no	—
1434	C₂²×C₃	—	4	2	no	—
1435	C₂²×C₃	—	4	8	no	—
1436	C₂²×C₃	—	4	8	no	—
1437	C₂²×C₃	—	6	1	no	—
1438	C₂²×C₃	—	6	1	no	—
1439	C₂²×C₃	—	6	1	no	—
1440	C₂²×C₃	—	6	2	no	—
1441	C₂²×C₃	—	6	1	no	—
1442	C₂²×C₃	—	6	2	no	—
1443	C₂²×C₃	—	6	1	no	—
1444	C₂²×C₃	—	6	1	no	—
1445	C₂²×C₃	—	6	1	no	—
1446	C₂²×C₃	—	6	1	no	—
1447	C₂²×C₃	—	6	2	no	—
1448	C₂²×C₃	—	8	8	no	—
1449	C₂²×C₃	—	8	4	no	—
1450	C₂²×C₃	—	8	4	no	—
1451	C₂²×C₃	—	8	8	no	—
1452	C₂²×C₃	—	12	4	no	—
1453	C₂²×C₃	—	24	4	no	—
1454	C₂²×C₃	—	24	4	no	—
1455	C₂²×C₃	C₂×D₃×D₄	1	4	yes	—
1456	C₂²×C₃	#1004	1	2	yes	complemented
1457	C₂²×C₃	C₂²×C₃×D₄	1	4	yes	—
1458	C₂²×C₃	C₃×H(5,𝔽₂)	1	2	yes	complemented
1459	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1460	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1461	C₂×D₃	—	2	1	no	—
1462	C₂×D₃	—	2	1	no	—
1463	C₂×D₃	—	2	1	no	—
1464	C₂×D₃	—	2	1	no	—
1465	C₂×D₃	—	2	2	no	—
1466	C₂×D₃	—	2	1	no	—
1467	C₂×D₃	—	2	2	no	—
1468	C₂×D₃	—	2	1	no	—
1469	C₂×D₃	—	2	1	no	—
1470	C₂×D₃	—	2	1	no	—
1471	C₂×D₃	—	2	2	no	—
1472	C₂×D₃	—	4	4	no	—
1473	C₂×D₃	—	8	4	no	—
1474	C₂×D₃	—	8	4	no	—
1475	C₂×D₃	C₂²×C₃×D₄	1	2	yes	—
1476	C₃×C₄	—	2	2	no	—
1477	C₃×C₄	—	2	1	no	—
1478	C₃×C₄	—	2	1	no	—
1479	C₃×C₄	—	2	1	no	—
1480	C₃×C₄	—	2	2	no	—
1481	C₃×C₄	—	2	1	no	—
1482	C₃×C₄	—	2	1	no	—
1483	C₃×C₄	—	2	1	no	—
1484	C₃×C₄	—	2	2	no	—
1485	C₃×C₄	—	2	1	no	—
1486	C₃×C₄	—	2	1	no	—
1487	C₃×C₄	—	2	2	no	—
1488	C₃×C₄	—	3	2	no	—
1489	C₃×C₄	—	3	4	no	—
1490	C₃×C₄	—	4	1	no	—
1491	C₃×C₄	—	4	1	no	—
1492	C₃×C₄	—	4	2	no	—
1493	C₃×C₄	—	4	1	no	—
1494	C₃×C₄	—	6	1	no	—
1495	C₃×C₄	—	6	1	no	—
1496	C₃×C₄	—	6	2	no	—
1497	C₃×C₄	—	6	2	no	—
1498	C₃×C₄	—	6	1	no	—
1499	C₃×C₄	—	6	1	no	—
1500	C₃×C₄	C₂×D₃×D₄	1	2	yes	—
1501	C₃×C₄	C₂²×C₃×D₄	1	2	yes	—
1502	Dic₃	—	2	2	no	—
1503	Dic₃	—	2	1	no	—
1504	Dic₃	—	2	1	no	—
1505	Dic₃	—	2	2	no	—
1506	Dic₃	—	2	1	no	—
1507	Dic₃	—	2	1	no	—
1508	Dic₃	C₂²×C₃×D₄	1	4	yes	—
1509	Dic₃	C₂²×C₃×D₄	1	2	yes	—
1510	C₃²	#3488	1	1	yes	characteristic, complemented, Sylow
1511	C₂³	—	2	4	no	—
1512	C₂³	—	2	4	no	—
1513	C₂³	—	2	4	no	—
1514	C₂³	—	3	1	no	—
1515	C₂³	—	3	2	no	—
1516	C₂³	—	3	1	no	—
1517	C₂³	—	3	1	no	—
1518	C₂³	—	4	2	no	—
1519	C₂³	—	4	2	no	—
1520	C₂³	—	4	2	no	—
1521	C₂³	—	6	2	no	—
1522	C₂³	—	6	4	no	—
1523	C₂³	—	6	2	no	—
1524	C₂³	—	6	4	no	—
1525	C₂³	—	12	1	no	—
1526	C₂³	—	12	2	no	—
1527	C₂³	—	12	2	no	—
1528	C₂³	—	12	2	no	—
1529	C₂³	—	12	2	no	—
1530	C₂³	C₂³×C₃×D₃	1	2	yes	—
1531	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1532	C₂³	C₂³×C₃×D₃	1	2	yes	—
1533	C₂³	C₂³×C₃×D₃	1	2	yes	—
1534	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1535	Q₈	—	3	4	no	—
1536	Q₈	—	6	4	no	—
1537	Q₈	—	6	2	no	—
1538	Q₈	—	6	2	no	—
1539	D₄	—	2	4	no	—
1540	D₄	—	2	4	no	—
1541	D₄	—	2	2	no	—
1542	D₄	—	2	4	no	—
1543	D₄	—	2	2	no	—
1544	D₄	—	2	2	no	—
1545	D₄	—	3	8	no	—
1546	D₄	—	4	2	no	—
1547	D₄	—	4	2	no	—
1548	D₄	—	4	2	no	—
1549	D₄	—	6	2	no	—
1550	D₄	—	6	2	no	—
1551	D₄	—	6	4	no	—
1552	D₄	—	6	4	no	—
1553	D₄	—	6	4	no	—
1554	D₄	—	6	4	no	—
1555	D₄	—	6	2	no	—
1556	D₄	—	6	4	no	—
1557	D₄	—	6	4	no	—
1558	D₄	—	6	4	no	—
1559	D₄	—	6	4	no	—
1560	D₄	—	6	2	no	—
1561	D₄	—	6	2	no	—
1562	D₄	—	12	2	no	—
1563	D₄	—	12	1	no	—
1564	D₄	—	12	2	no	—
1565	D₄	—	12	2	no	—
1566	D₄	—	12	2	no	—
1567	D₄	—	12	2	no	—
1568	D₄	—	12	1	no	—
1569	D₄	C₃×D₃×D₄	1	4	yes	complemented
1570	C₂×C₄	—	2	2	no	—
1571	C₂×C₄	—	2	2	no	—
1572	C₂×C₄	—	3	8	no	—
1573	C₂×C₄	—	3	2	no	—
1574	C₂×C₄	—	3	1	no	—
1575	C₂×C₄	—	3	4	no	—
1576	C₂×C₄	—	3	1	no	—
1577	C₂×C₄	—	3	1	no	—
1578	C₂×C₄	—	3	2	no	—
1579	C₂×C₄	—	3	1	no	—
1580	C₂×C₄	—	3	2	no	—
1581	C₂×C₄	—	3	1	no	—
1582	C₂×C₄	—	4	2	no	—
1583	C₂×C₄	—	6	2	no	—
1584	C₂×C₄	—	6	4	no	—
1585	C₂×C₄	—	6	2	no	—
1586	C₂×C₄	—	6	2	no	—
1587	C₂×C₄	—	6	4	no	—
1588	C₂×C₄	—	6	4	no	—
1589	C₂×C₄	—	6	4	no	—
1590	C₂×C₄	—	6	4	no	—
1591	C₂×C₄	—	6	4	no	—
1592	C₂×C₄	—	6	2	no	—
1593	C₂×C₄	—	6	2	no	—
1594	C₂×C₄	—	12	2	no	—
1595	C₂×C₄	—	12	2	no	—
1596	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1597	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1598	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1599	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1600	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1601	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1602	C₂×C₃	—	2	2	no	—
1603	C₂×C₃	—	2	4	no	—
1604	C₂×C₃	—	2	2	no	—
1605	C₂×C₃	—	2	4	no	—
1606	C₂×C₃	—	2	1	no	—
1607	C₂×C₃	—	2	1	no	—
1608	C₂×C₃	—	2	1	no	—
1609	C₂×C₃	—	4	2	no	—
1610	C₂×C₃	—	4	4	no	—
1611	C₂×C₃	—	4	2	no	—
1612	C₂×C₃	—	4	2	no	—
1613	C₂×C₃	—	4	2	no	—
1614	C₂×C₃	—	4	1	no	—
1615	C₂×C₃	—	4	2	no	—
1616	C₂×C₃	—	4	1	no	—
1617	C₂×C₃	—	4	2	no	—
1618	C₂×C₃	—	6	2	no	—
1619	C₂×C₃	—	8	2	no	—
1620	C₂×C₃	—	8	2	no	—
1621	C₂×C₃	—	12	1	no	—
1622	C₂×C₃	—	12	1	no	—
1623	C₂×C₃	—	12	2	no	—
1624	C₂×C₃	C₂²×D₃×D₄	1	1	yes	characteristic
1625	C₂×C₃	C₂×#1004	1	1	yes	characteristic
1626	C₂×C₃	#5966	1	1	yes	characteristic
1627	C₂×C₃	C₂³×C₃×D₄	1	1	yes	characteristic
1628	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1629	C₂×C₃	C₃×#585	1	1	yes	characteristic
1630	D₃	—	2	2	no	—
1631	D₃	—	4	1	no	—
1632	D₃	—	4	2	no	—
1633	D₃	—	4	1	no	—
1634	C₂²	—	2	1	no	—
1635	C₂²	—	2	2	no	—
1636	C₂²	—	2	1	no	—
1637	C₂²	—	2	2	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	2	no	—
1640	C₂²	—	2	2	no	—
1641	C₂²	—	2	1	no	—
1642	C₂²	—	2	2	no	—
1643	C₂²	—	2	2	no	—
1644	C₂²	—	2	2	no	—
1645	C₂²	—	2	2	no	—
1646	C₂²	—	2	1	no	—
1647	C₂²	—	3	2	no	—
1648	C₂²	—	4	8	no	—
1649	C₂²	—	6	1	no	—
1650	C₂²	—	6	1	no	—
1651	C₂²	—	6	1	no	—
1652	C₂²	—	6	2	no	—
1653	C₂²	—	6	1	no	—
1654	C₂²	—	6	2	no	—
1655	C₂²	—	6	1	no	—
1656	C₂²	—	6	1	no	—
1657	C₂²	—	6	1	no	—
1658	C₂²	—	6	1	no	—
1659	C₂²	—	6	2	no	—
1660	C₂²	—	8	4	no	—
1661	C₂²	—	12	4	no	—
1662	C₂²	—	24	4	no	—
1663	C₂²	—	24	4	no	—
1664	C₂²	C₂×C₃×D₃×D₄	1	4	yes	—
1665	C₂²	C₃×#1004	1	2	yes	complemented
1666	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1667	C₄	—	2	1	no	—
1668	C₄	—	2	1	no	—
1669	C₄	—	2	1	no	—
1670	C₄	—	2	2	no	—
1671	C₄	—	2	1	no	—
1672	C₄	—	3	2	no	—
1673	C₄	—	3	4	no	—
1674	C₄	—	6	1	no	—
1675	C₄	—	6	1	no	—
1676	C₄	—	6	2	no	—
1677	C₄	—	6	2	no	—
1678	C₄	—	6	1	no	—
1679	C₄	—	6	1	no	—
1680	C₄	C₂×C₃×D₃×D₄	1	2	yes	—
1681	C₃	—	2	1	no	—
1682	C₃	#86607	1	1	yes	characteristic, direct product factor
1683	C₃	C₃×#3488	1	1	yes	characteristic, complemented
1684	C₂	—	2	2	no	—
1685	C₂	—	2	4	no	—
1686	C₂	—	4	2	no	—
1687	C₂	—	4	1	no	—
1688	C₂	—	4	2	no	—
1689	C₂	—	6	2	no	—
1690	C₂	—	12	1	no	—
1691	C₂	—	12	1	no	—
1692	C₂	—	12	2	no	—
1693	C₂	C₂²×C₃×D₃×D₄	1	1	yes	characteristic
1694	C₂	C₂×C₃×#1004	1	1	yes	characteristic
1695	C₂	C₃×#5966	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×D₄²	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×D₄²	D₃
hypocenter	C₃	C₃×#3488
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×D₄²

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×#1004	C₂	semidirect
2. C₂²×C₃×#237	C₂	semidirect
3. C₃²×D₄²	C₂	semidirect
4. C₃×#5806	C₂	semidirect
5. C₂×C₃×#939	C₂	semidirect
6. C₃×D₄×#67	C₂	semidirect
7. C₃×D₄×#67	C₂	semidirect
8. C₃×#5718	C₂	semidirect
9. C₃×#5715	C₂	semidirect
10. C₃×#5610	C₂	semidirect
11. C₃×#5608	C₂	semidirect
12. C₃×D₃×#121	C₂	semidirect
13. C₃×#5599	C₂	semidirect
14. C₃×#5598	C₂	semidirect
15. C₃×#5597	C₂	semidirect
16. C₃×#5592	C₂	semidirect
17. C₃×#5591	C₂	semidirect
18. C₃×#5590	C₂	semidirect
19. C₃×#5586	C₂	semidirect
20. C₃×#5554	C₂	semidirect
21. C₃×#5552	C₂	semidirect
22. C₃×#5547	C₂	semidirect
23. C₃×#5546	C₂	semidirect
25. #86607	C₃	direct (N × H)
26. C₂²×C₃²×D₄	C₂²	semidirect
27. C₂²×C₃²×D₄	C₂²	semidirect
28. C₂²×C₃²×D₄	C₂²	semidirect
29. C₂²×C₃×#67	C₂²	semidirect
30. C₂²×C₃×#67	C₂²	semidirect
31. C₂²×C₃×#67	C₂²	semidirect
32. C₂²×C₃×#67	C₂²	semidirect
33. C₂³×C₃×Dic₃	C₂²	semidirect
37. C₂×C₃×#237	C₂²	semidirect
38. C₂×C₃×#237	C₂²	semidirect
39. C₂×C₃×#237	C₂²	semidirect
40. C₂×C₃×#237	C₂²	semidirect
41. C₂×C₃×#237	C₂²	semidirect
42. C₂×C₃×#237	C₂²	semidirect
43. C₂×C₃×#237	C₂²	semidirect
44. C₂×C₃×D₃×D₄	C₂²	semidirect
45. C₂×C₃×D₃×D₄	C₂²	semidirect
46. C₂×C₃×D₃×D₄	C₂²	semidirect
47. C₂×C₃×D₃×D₄	C₂²	semidirect
48. C₂×C₃×#235	C₂²	semidirect
49. C₂×C₃×#235	C₂²	semidirect
50. C₂²×C₃×C₄×D₃	C₂²	semidirect
51. C₂²×C₃×Dic₆	C₂²	semidirect
52. C₃²×#127	C₂²	semidirect
53. C₃²×#121	C₂²	semidirect
54. C₃²×#121	C₂²	semidirect
55. C₃²×#121	C₂²	semidirect
56. C₃²×#120	C₂²	semidirect
57. C₃²×#120	C₂²	semidirect
58. C₃²×C₄×D₄	C₂²	semidirect
59. C₃²×C₄×D₄	C₂²	semidirect
60. C₃×#953	C₂²	semidirect
61. C₃×#953	C₂²	semidirect
62. C₂×C₃×#217	C₂²	semidirect
63. C₃×#940	C₂²	semidirect
64. C₃×#940	C₂²	semidirect
65. C₃×#940	C₂²	semidirect
66. C₃×#939	C₂²	semidirect
67. C₃×#939	C₂²	semidirect
68. C₃×#939	C₂²	semidirect
69. C₃×#939	C₂²	semidirect
70. C₃×#939	C₂²	semidirect
71. C₃×#939	C₂²	semidirect
72. C₃×#939	C₂²	semidirect
73. C₃×#939	C₂²	semidirect
74. C₃×#939	C₂²	semidirect
75. C₃×#939	C₂²	semidirect
76. C₃×#939	C₂²	semidirect
77. C₃×#939	C₂²	semidirect
78. C₃×#938	C₂²	semidirect
79. C₃×#938	C₂²	semidirect
80. C₃×#938	C₂²	semidirect
81. C₃×#937	C₂²	semidirect
82. C₃×#937	C₂²	semidirect
83. C₃×#937	C₂²	semidirect
84. C₃×#937	C₂²	semidirect
85. C₃×#936	C₂²	semidirect
86. C₃×#935	C₂²	semidirect
87. C₃×D₄×Dic₃	C₂²	semidirect
88. C₃×D₄×Dic₃	C₂²	semidirect
89. C₃×D₄×Dic₃	C₂²	semidirect
90. C₃×#930	C₂²	semidirect
91. C₃×#930	C₂²	semidirect
92. C₃×C₄×#67	C₂²	semidirect
93. C₃×C₄×#67	C₂²	semidirect
94. C₃×C₄×#67	C₂²	semidirect
95. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
96. C₃×#924	C₂²	semidirect
97. C₂×C₃×Dic₃⋊C₄	C₂²	semidirect
98. C₃×#897	C₂²	semidirect
99. C₃×#896	C₂²	semidirect
100. C₃×#896	C₂²	semidirect
101. C₃×#895	C₂²	semidirect
102. C₃×#894	C₂²	semidirect
103. C₃×D₃×C₄⋊C₄	C₂²	semidirect
104. C₃×#887	C₂²	semidirect
105. C₃×#886	C₂²	semidirect
106. C₃×#885	C₂²	semidirect
107. C₃×#885	C₂²	semidirect
108. C₃×#884	C₂²	semidirect
109. C₃×#884	C₂²	semidirect
110. C₃×#884	C₂²	semidirect
111. C₃×#884	C₂²	semidirect
112. C₃×#883	C₂²	semidirect
113. C₃×#882	C₂²	semidirect
114. C₃×#882	C₂²	semidirect
115. C₃×#67⋊C₄	C₂²	semidirect
116. C₃×#67⋊C₄	C₂²	semidirect
117. C₃×#67⋊C₄	C₂²	semidirect
118. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
119. C₃×#878	C₂²	semidirect
120. C₃×#878	C₂²	semidirect
121. C₃×#878	C₂²	semidirect
122. C₃×#877	C₂²	semidirect
123. C₃×#875	C₂²	semidirect
124. C₃×C₄×D₁₂	C₂²	semidirect
125. C₃×#872	C₂²	semidirect
126. C₃×C₄×Dic₆	C₂²	semidirect
129. C₂×#1004	C₂×C₃	semidirect
130. C₂²×#237	C₂×C₃	semidirect
143. C₃×D₄²	D₃	semidirect
144. C₃×D₄²	C₂×C₃	semidirect
154. #5806	C₂×C₃	semidirect
155. C₂×#939	C₂×C₃	semidirect
156. D₄×#67	C₂×C₃	semidirect
157. D₄×#67	C₂×C₃	semidirect
158. #5718	C₂×C₃	semidirect
159. #5715	C₂×C₃	semidirect
160. #5610	C₂×C₃	semidirect
161. #5608	C₂×C₃	semidirect
162. D₃×#121	C₂×C₃	semidirect
163. #5599	C₂×C₃	semidirect
164. #5598	C₂×C₃	semidirect
165. #5597	C₂×C₃	semidirect
166. #5592	C₂×C₃	semidirect
167. #5591	C₂×C₃	semidirect
168. #5590	C₂×C₃	semidirect
169. #5586	C₂×C₃	semidirect
170. #5554	C₂×C₃	semidirect
171. #5552	C₂×C₃	semidirect
172. #5547	C₂×C₃	semidirect
173. #5546	C₂×C₃	semidirect
232. C₃×#237	D₄	semidirect
322. C₂²×C₃×D₄	C₂×D₃	semidirect
323. C₂²×C₃×D₄	C₂×D₃	semidirect
324. C₂²×C₃×D₄	C₂×D₃	semidirect
325. C₂²×C₃×D₄	C₂²×C₃	semidirect
326. C₂²×C₃×D₄	C₂²×C₃	semidirect
327. C₂²×C₃×D₄	C₂²×C₃	semidirect
330. C₂²×#67	C₂²×C₃	semidirect
331. C₂²×#67	C₂²×C₃	semidirect
332. C₂²×#67	C₂²×C₃	semidirect
333. C₂²×#67	C₂²×C₃	semidirect
334. C₂³×Dic₃	C₂²×C₃	semidirect
338. C₂×#237	C₂²×C₃	semidirect
339. C₂×#237	C₂²×C₃	semidirect
340. C₂×#237	C₂²×C₃	semidirect
341. C₂×#237	C₂²×C₃	semidirect
342. C₂×#237	C₂²×C₃	semidirect
343. C₂×#237	C₂²×C₃	semidirect
344. C₂×#237	C₂²×C₃	semidirect
345. C₂×D₃×D₄	C₂²×C₃	semidirect
346. C₂×D₃×D₄	C₂²×C₃	semidirect
347. C₂×D₃×D₄	C₂²×C₃	semidirect
348. C₂×D₃×D₄	C₂²×C₃	semidirect
349. C₂×#235	C₂²×C₃	semidirect
350. C₂×#235	C₂²×C₃	semidirect
351. C₂²×C₄×D₃	C₂²×C₃	semidirect
352. C₂²×Dic₆	C₂²×C₃	semidirect
357. C₃×#127	C₂×D₃	semidirect
358. C₃×#127	C₂²×C₃	semidirect
399. C₃×#121	C₂×D₃	semidirect
400. C₃×#121	C₂×D₃	semidirect
401. C₃×#121	C₂×D₃	semidirect
402. C₃×#121	C₂²×C₃	semidirect
403. C₃×#121	C₂²×C₃	semidirect
404. C₃×#121	C₂²×C₃	semidirect
415. C₃×#120	C₂×D₃	semidirect
416. C₃×#120	C₂×D₃	semidirect
417. C₃×#120	C₂²×C₃	semidirect
418. C₃×#120	C₂²×C₃	semidirect
433. C₃×C₄×D₄	C₂×D₃	semidirect
434. C₃×C₄×D₄	C₂×D₃	semidirect
435. C₃×C₄×D₄	C₂²×C₃	semidirect
436. C₃×C₄×D₄	C₂²×C₃	semidirect
444. #953	C₂²×C₃	semidirect
445. #953	C₂²×C₃	semidirect
446. C₂×#217	C₂²×C₃	semidirect
447. #940	C₂²×C₃	semidirect
448. #940	C₂²×C₃	semidirect
449. #940	C₂²×C₃	semidirect
450. #939	C₂²×C₃	semidirect
451. #939	C₂²×C₃	semidirect
452. #939	C₂²×C₃	semidirect
453. #939	C₂²×C₃	semidirect
454. #939	C₂²×C₃	semidirect
455. #939	C₂²×C₃	semidirect
456. #939	C₂²×C₃	semidirect
457. #939	C₂²×C₃	semidirect
458. #939	C₂²×C₃	semidirect
459. #939	C₂²×C₃	semidirect
460. #939	C₂²×C₃	semidirect
461. #939	C₂²×C₃	semidirect
462. #938	C₂²×C₃	semidirect
463. #938	C₂²×C₃	semidirect
464. #938	C₂²×C₃	semidirect
465. #937	C₂²×C₃	semidirect
466. #937	C₂²×C₃	semidirect
467. #937	C₂²×C₃	semidirect
468. #937	C₂²×C₃	semidirect
469. #936	C₂²×C₃	semidirect
470. #935	C₂²×C₃	semidirect
471. D₄×Dic₃	C₂²×C₃	semidirect
472. D₄×Dic₃	C₂²×C₃	semidirect
473. D₄×Dic₃	C₂²×C₃	semidirect
474. #930	C₂²×C₃	semidirect
475. #930	C₂²×C₃	semidirect
476. C₄×#67	C₂²×C₃	semidirect
477. C₄×#67	C₂²×C₃	semidirect
478. C₄×#67	C₂²×C₃	semidirect
479. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
480. #924	C₂²×C₃	semidirect
481. C₂×Dic₃⋊C₄	C₂²×C₃	semidirect
482. #897	C₂²×C₃	semidirect
483. #896	C₂²×C₃	semidirect
484. #896	C₂²×C₃	semidirect
485. #895	C₂²×C₃	semidirect
486. #894	C₂²×C₃	semidirect
487. D₃×C₄⋊C₄	C₂²×C₃	semidirect
488. #887	C₂²×C₃	semidirect
489. #886	C₂²×C₃	semidirect
490. #885	C₂²×C₃	semidirect
491. #885	C₂²×C₃	semidirect
492. #884	C₂²×C₃	semidirect
493. #884	C₂²×C₃	semidirect
494. #884	C₂²×C₃	semidirect
495. #884	C₂²×C₃	semidirect
496. #883	C₂²×C₃	semidirect
497. #882	C₂²×C₃	semidirect
498. #882	C₂²×C₃	semidirect
499. #67⋊C₄	C₂²×C₃	semidirect
500. #67⋊C₄	C₂²×C₃	semidirect
501. #67⋊C₄	C₂²×C₃	semidirect
502. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
503. #878	C₂²×C₃	semidirect
504. #878	C₂²×C₃	semidirect
505. #878	C₂²×C₃	semidirect
506. #877	C₂²×C₃	semidirect
507. #875	C₂²×C₃	semidirect
508. C₄×D₁₂	C₂²×C₃	semidirect
509. #872	C₂²×C₃	semidirect
510. C₄×Dic₆	C₂²×C₃	semidirect
544. C₃²×D₄	C₂×D₄	semidirect
570. C₃×#67	C₂×D₄	semidirect
578. C₂×C₃×Dic₃	C₂×D₄	semidirect
597. C₃×C₄×D₃	C₂×D₄	semidirect
601. C₃×Dic₆	C₂×D₄	semidirect
615. D₄²	C₃×D₃	semidirect
783. #237	C₃×D₄	semidirect
913. C₂²×C₃²	H(5,𝔽₂)	semidirect
965. C₂²×D₄	C₂×C₃×D₃	semidirect
966. C₂²×D₄	C₂×C₃×D₃	semidirect
967. C₂²×D₄	C₂×C₃×D₃	semidirect
973. #127	C₂×C₃×D₃	semidirect
1011. #121	C₂×C₃×D₃	semidirect
1012. #121	C₂×C₃×D₃	semidirect
1013. #121	C₂×C₃×D₃	semidirect
1022. #120	C₂×C₃×D₃	semidirect
1023. #120	C₂×C₃×D₃	semidirect
1036. C₄×D₄	C₂×C₃×D₃	semidirect
1037. C₄×D₄	C₂×C₃×D₃	semidirect
1157. C₃×D₄	D₃×D₄	semidirect
1158. C₃×D₄	C₂×C₃×D₄	semidirect
1225. #67	C₂×C₃×D₄	semidirect
1233. C₂×Dic₃	C₂×C₃×D₄	semidirect
1252. C₄×D₃	C₂×C₃×D₄	semidirect
1256. Dic₆	C₂×C₃×D₄	semidirect
1456. C₂²×C₃	#1004	semidirect
1458. C₂²×C₃	C₃×H(5,𝔽₂)	semidirect
1510. C₃²	#3488	semidirect
1569. D₄	C₃×D₃×D₄	semidirect
1665. C₂²	C₃×#1004	semidirect
1682. C₃	#86607	direct (N × H)
1683. C₃	C₃×#3488	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×#1004	2
C₂²×C₃×#237	2
C₃²×D₄²	2
C₃×#5806	2
C₂×C₃×#939	2
C₃×D₄×#67	2
C₃×#5718	2
C₃×#5715	2
C₃×#5610	2
C₃×#5608	2
C₃×D₃×#121	2
C₃×#5599	2
C₃×#5598	2
C₃×#5597	2
C₃×#5592	2
C₃×#5591	2
C₃×#5590	2
C₃×#5586	2
C₃×#5554	2
C₃×#5552	2
C₃×#5547	2
C₃×#5546	2
C₃×#3488	3
#86607	3

Subgroups — C3×#86607 #11904585

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86607 #11904585