Subgroups — C₃×#86037 #11902742

Order 1152.

3461 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×D₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₃×#235	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃²×#525	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#5832	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₃×C₄×#67	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5655	C₂	1	2	yes	maximal, complemented
7	C₃×#5654	C₂	1	2	yes	maximal, complemented
8	C₃×#5633	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#5632	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#5631	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#5630	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#5612	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#5609	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#5599	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#5598	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#5591	C₂	1	2	yes	maximal, complemented
17	C₃×#5590	C₂	1	2	yes	maximal, complemented
18	C₃×#5548	C₂	1	2	yes	maximal, complemented
19	C₃×#5547	C₂	1	2	yes	maximal, complemented
20	C₃×#5547	C₂	1	2	yes	maximal, complemented
21	C₃×C₄×D₃×D₄	C₂	1	2	yes	maximal, complemented
22	C₃×#5524	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#5522	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×D₄×#41	—	3	1	no	maximal
25	#86037	C₃	1	1	yes	maximal, characteristic, direct product factor
26	C₂×C₃²×#41	C₂²	1	1	yes	characteristic, complemented
27	C₂³×C₃²×C₄	C₂²	1	1	yes	characteristic, complemented
28	C₂²×C₃×#67	C₂²	1	1	yes	characteristic
29	C₂²×C₃×#67	C₂²	1	2	yes	complemented
30	C₃×D₃×#41	—	2	8	no	—
31	C₂×C₃×#239	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₃×D₃×Q₈	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₃×#237	C₂²	1	2	yes	complemented
34	C₂×C₃×#237	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₃×D₃×D₄	C₂²	1	2	yes	—
36	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
37	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₃×#235	—	2	8	no	—
39	C₂×C₃×#235	C₂²	1	1	yes	characteristic
40	C₂×C₃×#235	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₃×#235	C₂²	1	2	yes	complemented
42	C₂×C₃×#235	C₂²	1	2	yes	complemented
43	C₂×C₃×#235	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₃×#235	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₃×#235	C₂²	1	2	yes	complemented
46	C₂²×C₃×D₁₂	C₂²	1	1	yes	characteristic, complemented
47	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic, complemented
48	C₂²×C₃×C₄×D₃	C₂²	1	2	yes	complemented
49	C₂²×C₃×C₄×D₃	C₂²	1	2	yes	complemented
50	C₂²×C₃×Dic₆	C₂²	1	1	yes	characteristic, 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	1	yes	characteristic, complemented
55	C₃²×#121	C₂²	1	1	yes	characteristic, complemented
56	C₃²×#120	C₂²	1	2	yes	complemented
57	C₃²×C₄×D₄	C₂²	1	2	yes	complemented
58	C₃²×C₄×D₄	C₂²	1	2	yes	complemented
59	C₃²×#117	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₃×#217	C₂²	1	1	yes	characteristic, complemented
61	C₃×#947	C₂²	1	1	yes	characteristic, complemented
62	C₃×#944	C₂²	1	1	yes	characteristic, complemented
63	C₃×#940	C₂²	1	2	yes	complemented
64	C₃×#940	C₂²	1	1	yes	characteristic, complemented
65	C₃×#939	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×#938	C₂²	1	2	yes	complemented
70	C₃×#937	C₂²	1	2	yes	complemented
71	C₃×#937	C₂²	1	2	yes	complemented
72	C₃×#936	C₂²	1	1	yes	characteristic, complemented
73	C₃×D₄×Dic₃	C₂²	1	2	yes	complemented
74	C₃×C₄×#67	C₂²	1	1	yes	characteristic
75	C₃×C₄×#67	C₂²	1	1	yes	characteristic
76	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
77	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
78	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
79	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
80	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
81	C₃×C₄×#67	C₂²	1	1	yes	characteristic, complemented
82	C₃×C₄×#67	C₂²	1	2	yes	complemented
83	C₃×C₄×#67	C₂²	1	2	yes	complemented
84	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
85	C₂×C₃×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
86	C₂×C₃×C₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
87	C₃×#897	C₂²	1	1	yes	characteristic, complemented
88	C₃×#897	C₂²	1	1	yes	characteristic, complemented
89	C₃×#896	C₂²	1	2	yes	complemented
90	C₃×#896	C₂²	1	2	yes	complemented
91	C₃×#895	C₂²	1	1	yes	characteristic, complemented
92	C₃×#895	C₂²	1	1	yes	characteristic, complemented
93	C₃×#895	C₂²	1	2	yes	complemented
94	C₃×#894	C₂²	1	2	yes	complemented
95	C₃×#894	C₂²	1	2	yes	complemented
96	C₃×#893	C₂²	1	1	yes	characteristic, complemented
97	C₃×#893	C₂²	1	1	yes	characteristic, complemented
98	C₃×#893	C₂²	1	2	yes	complemented
99	C₃×D₃×C₄⋊C₄	C₂²	1	2	yes	complemented
100	C₃×#888	C₂²	1	2	yes	complemented
101	C₃×#887	C₂²	1	1	yes	characteristic, complemented
102	C₃×#887	C₂²	1	1	yes	characteristic, complemented
103	C₃×#886	C₂²	1	2	yes	complemented
104	C₃×#885	C₂²	1	2	yes	complemented
105	C₃×#885	C₂²	1	2	yes	complemented
106	C₃×#884	C₂²	1	2	yes	complemented
107	C₃×#884	C₂²	1	2	yes	complemented
108	C₃×#884	C₂²	1	2	yes	complemented
109	C₃×#884	C₂²	1	2	yes	complemented
110	C₃×#883	C₂²	1	2	yes	complemented
111	C₃×#883	C₂²	1	2	yes	complemented
112	C₃×#882	C₂²	1	2	yes	complemented
113	C₃×#882	C₂²	1	2	yes	complemented
114	C₃×#882	C₂²	1	2	yes	complemented
115	C₃×#67⋊C₄	C₂²	1	2	yes	—
116	C₃×#67⋊C₄	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×#878	C₂²	1	2	yes	complemented
122	C₃×#878	C₂²	1	2	yes	complemented
123	C₃×C₄×D₁₂	C₂²	1	2	yes	complemented
124	C₃×C₄×D₁₂	C₂²	1	2	yes	complemented
125	C₃×#872	C₂²	1	2	yes	complemented
126	C₃×C₄²×D₃	C₂²	1	2	yes	complemented
127	C₂²×C₃×#41	—	3	1	no	—
128	C₂²×C₃×#41	—	3	1	no	—
129	C₂×D₃×#41	C₂×C₃	1	1	yes	characteristic, complemented
130	C₂²×#235	C₂×C₃	1	1	yes	characteristic, complemented
131	C₃×#550	—	3	1	no	—
132	C₃×D₄×Q₈	—	3	1	no	—
133	C₃×#548	—	3	1	no	—
134	C₃×#548	—	3	1	no	—
135	C₃×#547	—	3	2	no	—
136	C₃×#547	—	3	1	no	—
137	C₃×#546	—	3	2	no	—
138	C₃×#546	—	3	1	no	—
139	C₃×#546	—	3	1	no	—
140	C₃×#546	—	3	2	no	—
141	C₃×D₄²	—	3	1	no	—
142	C₃×D₄²	—	3	2	no	—
143	C₃×#532	—	3	1	no	—
144	C₃×#532	—	3	2	no	—
145	C₃×#525	—	2	1	no	—
146	C₃×#525	—	3	2	no	—
147	C₃×#525	—	3	2	no	—
148	C₃×#525	—	3	1	no	—
149	C₃×#525	D₃	1	1	yes	characteristic, complemented
150	C₃×#525	C₂×C₃	1	1	yes	characteristic, complemented
151	C₃×C₄×#41	—	3	1	no	—
152	C₂×C₃×C₄×D₄	—	3	1	no	—
153	C₂×C₃×C₄×D₄	—	3	2	no	—
154	#5832	C₂×C₃	1	1	yes	characteristic, complemented
155	C₂×C₄×#67	C₂×C₃	1	1	yes	characteristic, complemented
156	#5655	C₂×C₃	1	2	yes	complemented
157	#5654	C₂×C₃	1	2	yes	complemented
158	#5633	C₂×C₃	1	1	yes	characteristic, complemented
159	#5632	C₂×C₃	1	1	yes	characteristic, complemented
160	#5631	C₂×C₃	1	1	yes	characteristic, complemented
161	#5630	C₂×C₃	1	1	yes	characteristic, complemented
162	#5612	C₂×C₃	1	1	yes	characteristic, complemented
163	#5609	C₂×C₃	1	1	yes	characteristic, complemented
164	#5599	C₂×C₃	1	1	yes	characteristic, complemented
165	#5598	C₂×C₃	1	1	yes	characteristic, complemented
166	#5591	C₂×C₃	1	2	yes	complemented
167	#5590	C₂×C₃	1	2	yes	complemented
168	#5548	C₂×C₃	1	2	yes	complemented
169	#5547	C₂×C₃	1	2	yes	complemented
170	#5547	C₂×C₃	1	2	yes	complemented
171	C₄×D₃×D₄	C₂×C₃	1	2	yes	complemented
172	#5524	C₂×C₃	1	1	yes	characteristic, complemented
173	#5522	C₂×C₃	1	1	yes	characteristic, complemented
174	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
175	C₂³×C₃×D₃	C₂³	1	2	yes	—
176	C₂³×C₃×D₃	C₂³	1	2	yes	—
177	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
178	C₃²×#41	—	2	4	no	—
179	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
180	C₂×C₃²×D₄	C₂³	1	2	yes	—
181	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
182	C₂×C₃²×D₄	C₂³	1	2	yes	—
183	C₂×C₃²×D₄	C₂³	1	2	yes	—
184	C₂²×C₃²×C₄	—	2	4	no	—
185	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
186	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
191	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
192	C₂×C₃×#67	—	2	8	no	—
193	C₂×C₃×#67	—	2	4	no	—
194	C₂×C₃×#67	C₂³	1	2	yes	—
195	C₂×C₃×#67	C₂³	1	1	yes	characteristic
196	C₂×C₃×#67	C₂³	1	2	yes	—
197	C₂×C₃×#67	C₂³	1	2	yes	—
198	C₂×C₃×#67	C₂³	1	2	yes	—
199	C₂×C₃×#67	C₂³	1	1	yes	characteristic
200	C₂×C₃×#67	C₂³	1	1	yes	characteristic
201	C₂×C₃×#67	C₂³	1	2	yes	—
202	C₂×C₃×#67	C₂³	1	2	yes	—
203	C₂×C₃×#67	C₂³	1	2	yes	—
204	C₂×C₃×#67	C₂³	1	2	yes	—
205	C₂×C₃×#67	C₂³	1	1	yes	characteristic
206	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
207	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
208	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
209	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
210	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
211	C₃×#239	—	2	4	no	—
212	C₃×D₃×Q₈	—	2	4	no	—
213	C₃×#237	—	2	8	no	—
214	C₃×#237	—	2	4	no	—
215	C₃×D₃×D₄	—	2	8	no	—
216	C₃×D₃×D₄	—	2	8	no	—
217	C₃×D₃×D₄	—	2	4	no	—
218	C₃×#235	—	2	4	no	—
219	C₃×#235	—	2	8	no	—
220	C₃×#235	—	2	4	no	—
221	C₃×#235	—	2	8	no	—
222	C₃×#235	—	2	8	no	—
223	C₃×#235	—	2	4	no	—
224	C₃×#235	D₄	1	8	yes	complemented
225	C₂×C₃×D₁₂	—	2	4	no	—
226	C₂×C₃×D₁₂	C₂³	1	2	yes	—
227	C₂×C₃×D₁₂	C₂³	1	2	yes	—
228	C₂×C₃×D₁₂	C₂³	1	2	yes	—
229	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
230	C₂×C₃×D₁₂	C₂³	1	2	yes	—
231	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
232	C₂×C₃×C₄×D₃	—	2	4	no	—
233	C₂×C₃×C₄×D₃	—	2	8	no	—
234	C₂×C₃×C₄×D₃	—	2	8	no	—
235	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
236	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
237	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
238	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
239	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
240	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
241	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
242	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
243	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
244	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
245	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
246	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
247	C₂×C₃×Dic₆	—	2	4	no	—
248	C₂×C₃×Dic₆	C₂³	1	2	yes	—
249	C₂×C₃×Dic₆	C₂³	1	2	yes	—
250	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
251	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
252	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
255	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
256	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
257	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
258	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
259	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
260	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
261	C₃²×C₄²	C₂³	1	2	yes	—
262	C₃×#217	C₂³	1	1	yes	characteristic
263	C₃×#217	C₂³	1	2	yes	—
264	C₃×#217	C₂³	1	1	yes	characteristic
265	C₃×#217	C₂³	1	2	yes	—
266	C₃×#217	C₂³	1	1	yes	characteristic
267	C₃×#217	C₂³	1	1	yes	characteristic
268	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
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	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	2	yes	—
277	C₃×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
281	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
282	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
283	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
284	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
289	C₃×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
290	C₃×C₄×Dic₃	C₂³	1	2	yes	—
291	C₃×C₄×Dic₃	C₂³	1	2	yes	—
292	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
293	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
294	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
295	C₃×C₄×Dic₃	C₂³	1	1	yes	characteristic
296	D₄×#41	—	3	1	no	Sylow
297	C₂×C₃×#41	—	2	1	no	—
298	C₂×C₃×#41	—	3	1	no	—
299	C₂×C₃×#41	—	3	2	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	2	no	—
304	C₂×C₃×#41	—	3	1	no	—
305	C₂×C₃×#41	—	3	1	no	—
306	C₂×C₃×#41	—	3	2	no	—
307	C₂×C₃×#41	—	3	1	no	—
308	C₂×C₃×#41	—	6	8	no	—
309	C₂×C₃×#41	—	6	8	no	—
310	C₂×C₃×#41	C₂×D₃	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×Q₈	—	3	1	no	—
314	C₂²×C₃×D₄	—	3	2	no	—
315	C₂²×C₃×D₄	—	3	1	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	—	2	1	no	—
321	C₂³×C₃×C₄	—	3	2	no	—
322	C₂³×C₃×C₄	—	3	2	no	—
323	C₂³×C₃×C₄	—	3	1	no	—
324	C₂³×C₃×C₄	C₂×D₃	1	1	yes	characteristic, complemented
325	C₂³×C₃×C₄	C₂²×C₃	1	1	yes	characteristic, complemented
326	C₂²×#67	C₂²×C₃	1	1	yes	characteristic
327	C₂²×#67	C₂²×C₃	1	2	yes	complemented
328	D₃×#41	—	2	8	no	—
329	C₂×#239	C₂²×C₃	1	1	yes	characteristic, complemented
330	C₂×D₃×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
331	C₂×#237	C₂²×C₃	1	2	yes	complemented
332	C₂×#237	C₂²×C₃	1	1	yes	characteristic, complemented
333	C₂×D₃×D₄	C₂²×C₃	1	2	yes	—
334	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
335	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
336	C₂×#235	—	2	8	no	—
337	C₂×#235	C₂²×C₃	1	1	yes	characteristic
338	C₂×#235	C₂²×C₃	1	1	yes	characteristic, complemented
339	C₂×#235	C₂²×C₃	1	2	yes	complemented
340	C₂×#235	C₂²×C₃	1	1	yes	characteristic, complemented
341	C₂×#235	C₂²×C₃	1	2	yes	complemented
342	C₂×#235	C₂²×C₃	1	1	yes	characteristic, complemented
343	C₂×#235	C₂²×C₃	1	2	yes	complemented
344	C₂²×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
345	C₂²×C₄×D₃	C₂²×C₃	1	2	yes	complemented
346	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
347	C₂²×C₄×D₃	C₂²×C₃	1	2	yes	complemented
348	C₂²×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
349	C₃×C₄⋊Q₈	—	3	1	no	—
350	C₃×C₄⋊Q₈	—	3	2	no	—
351	C₃×#127	—	3	2	no	—
352	C₃×#127	—	3	1	no	—
353	C₃×#124	—	3	1	no	—
354	C₃×#124	—	3	1	no	—
355	C₃×#124	—	3	2	no	—
356	C₃×#124	—	3	2	no	—
357	C₃×#123	—	2	2	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	C₂×D₃	1	2	yes	complemented
364	C₃×#123	C₂²×C₃	1	2	yes	complemented
365	C₃×C₂²⋊Q₈	—	2	1	no	—
366	C₃×C₂²⋊Q₈	—	2	1	no	—
367	C₃×C₂²⋊Q₈	—	3	2	no	—
368	C₃×C₂²⋊Q₈	—	3	2	no	—
369	C₃×C₂²⋊Q₈	—	3	1	no	—
370	C₃×C₂²⋊Q₈	—	3	1	no	—
371	C₃×C₂²⋊Q₈	—	3	2	no	—
372	C₃×C₂²⋊Q₈	—	3	2	no	—
373	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
374	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
375	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
376	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
377	C₃×#121	—	2	1	no	—
378	C₃×#121	—	2	1	no	—
379	C₃×#121	—	3	2	no	—
380	C₃×#121	—	3	2	no	—
381	C₃×#121	—	3	2	no	—
382	C₃×#121	—	3	2	no	—
383	C₃×#121	—	3	2	no	—
384	C₃×#121	—	3	1	no	—
385	C₃×#121	—	3	1	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	C₂×D₃	1	1	yes	characteristic, complemented
392	C₃×#121	C₂×D₃	1	1	yes	characteristic, complemented
393	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
394	C₃×#121	C₂²×C₃	1	1	yes	characteristic, complemented
395	C₃×#120	—	2	2	no	—
396	C₃×#120	—	3	2	no	—
397	C₃×#120	—	3	2	no	—
398	C₃×#120	—	3	2	no	—
399	C₃×#120	—	3	2	no	—
400	C₃×#120	—	3	2	no	—
401	C₃×#120	C₂×D₃	1	2	yes	complemented
402	C₃×#120	C₂²×C₃	1	2	yes	complemented
403	C₃×C₄×Q₈	—	3	1	no	—
404	C₃×C₄×Q₈	—	3	1	no	—
405	C₃×C₄×D₄	—	2	2	no	—
406	C₃×C₄×D₄	—	2	2	no	—
407	C₃×C₄×D₄	—	3	2	no	—
408	C₃×C₄×D₄	—	3	1	no	—
409	C₃×C₄×D₄	—	3	1	no	—
410	C₃×C₄×D₄	—	3	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	1	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	—	3	2	no	—
422	C₃×C₄×D₄	—	3	2	no	—
423	C₃×C₄×D₄	—	3	2	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	C₂×D₃	1	2	yes	complemented
428	C₃×C₄×D₄	C₂×D₃	1	2	yes	complemented
429	C₃×C₄×D₄	C₂²×C₃	1	2	yes	complemented
430	C₃×C₄×D₄	C₂²×C₃	1	2	yes	complemented
431	C₃×#117	—	2	1	no	—
432	C₃×#117	—	3	2	no	—
433	C₃×#117	C₂×D₃	1	1	yes	characteristic, complemented
434	C₃×#117	C₂²×C₃	1	1	yes	characteristic, complemented
435	C₂×C₃×C₄⋊C₄	—	3	1	no	—
436	C₂×C₃×C₄⋊C₄	—	3	2	no	—
437	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
438	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
439	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
440	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
441	C₂×C₃×C₄²	—	3	1	no	—
442	C₂×C₃×C₄²	—	3	2	no	—
443	C₂×#217	C₂²×C₃	1	1	yes	characteristic, complemented
444	#947	C₂²×C₃	1	1	yes	characteristic, complemented
445	#944	C₂²×C₃	1	1	yes	characteristic, complemented
446	#940	C₂²×C₃	1	2	yes	complemented
447	#940	C₂²×C₃	1	1	yes	characteristic, complemented
448	#939	C₂²×C₃	1	2	yes	complemented
449	#939	C₂²×C₃	1	2	yes	complemented
450	#939	C₂²×C₃	1	2	yes	complemented
451	#939	C₂²×C₃	1	2	yes	complemented
452	#938	C₂²×C₃	1	2	yes	complemented
453	#937	C₂²×C₃	1	2	yes	complemented
454	#937	C₂²×C₃	1	2	yes	complemented
455	#936	C₂²×C₃	1	1	yes	characteristic, complemented
456	D₄×Dic₃	C₂²×C₃	1	2	yes	complemented
457	C₄×#67	C₂²×C₃	1	1	yes	characteristic
458	C₄×#67	C₂²×C₃	1	1	yes	characteristic
459	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
460	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
461	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
462	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
463	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
464	C₄×#67	C₂²×C₃	1	1	yes	characteristic, complemented
465	C₄×#67	C₂²×C₃	1	2	yes	complemented
466	C₄×#67	C₂²×C₃	1	2	yes	complemented
467	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
468	C₂×Dic₃⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
469	C₂×C₄×Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
470	#897	C₂²×C₃	1	1	yes	characteristic, complemented
471	#897	C₂²×C₃	1	1	yes	characteristic, complemented
472	#896	C₂²×C₃	1	2	yes	complemented
473	#896	C₂²×C₃	1	2	yes	complemented
474	#895	C₂²×C₃	1	1	yes	characteristic, complemented
475	#895	C₂²×C₃	1	2	yes	complemented
476	#895	C₂²×C₃	1	1	yes	characteristic, complemented
477	#894	C₂²×C₃	1	2	yes	complemented
478	#894	C₂²×C₃	1	2	yes	complemented
479	#893	C₂²×C₃	1	2	yes	complemented
480	#893	C₂²×C₃	1	1	yes	characteristic, complemented
481	#893	C₂²×C₃	1	1	yes	characteristic, complemented
482	D₃×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
483	#888	C₂²×C₃	1	2	yes	complemented
484	#887	C₂²×C₃	1	1	yes	characteristic, complemented
485	#887	C₂²×C₃	1	1	yes	characteristic, complemented
486	#886	C₂²×C₃	1	2	yes	complemented
487	#885	C₂²×C₃	1	2	yes	complemented
488	#885	C₂²×C₃	1	2	yes	complemented
489	#884	C₂²×C₃	1	2	yes	complemented
490	#884	C₂²×C₃	1	2	yes	complemented
491	#884	C₂²×C₃	1	2	yes	complemented
492	#884	C₂²×C₃	1	2	yes	complemented
493	#883	C₂²×C₃	1	2	yes	complemented
494	#883	C₂²×C₃	1	2	yes	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	—
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	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
504	#878	C₂²×C₃	1	2	yes	complemented
505	#878	C₂²×C₃	1	2	yes	complemented
506	C₄×D₁₂	C₂²×C₃	1	2	yes	complemented
507	C₄×D₁₂	C₂²×C₃	1	2	yes	complemented
508	#872	C₂²×C₃	1	2	yes	complemented
509	C₄²×D₃	C₂²×C₃	1	2	yes	complemented
510	C₂³×C₃²	—	2	2	no	—
511	C₂³×C₃²	—	2	2	no	—
512	C₂³×C₃²	—	4	1	no	—
513	C₂³×C₃²	C₂⁴	1	2	yes	—
514	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
515	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
516	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
517	C₂²×C₃×D₃	—	2	2	no	—
518	C₂²×C₃×D₃	—	2	4	no	—
519	C₂²×C₃×D₃	—	2	4	no	—
520	C₂²×C₃×D₃	—	2	4	no	—
521	C₂²×C₃×D₃	—	2	4	no	—
522	C₂²×C₃×D₃	—	2	2	no	—
523	C₂²×C₃×D₃	—	4	2	no	—
524	C₂²×C₃×D₃	—	4	2	no	—
525	C₂²×C₃×D₃	—	4	1	no	—
526	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
527	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
528	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
529	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
530	C₃²×Q₈	—	2	2	no	—
531	C₃²×D₄	—	2	4	no	—
532	C₃²×D₄	—	2	4	no	—
533	C₃²×D₄	—	2	2	no	—
534	C₃²×D₄	—	4	2	no	—
535	C₂×C₃²×C₄	—	2	2	no	—
536	C₂×C₃²×C₄	—	2	2	no	—
537	C₂×C₃²×C₄	—	2	2	no	—
538	C₂×C₃²×C₄	—	2	4	no	—
539	C₂×C₃²×C₄	—	2	2	no	—
540	C₂×C₃²×C₄	—	2	2	no	—
541	C₂×C₃²×C₄	C₂×D₄	1	4	yes	complemented
542	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
543	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
544	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
545	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
546	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
547	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
548	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
549	C₃×#67	—	2	4	no	—
550	C₃×#67	—	2	2	no	—
551	C₃×#67	—	2	4	no	—
552	C₃×#67	—	2	4	no	—
553	C₃×#67	—	2	2	no	—
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	—	4	2	no	—
559	C₃×#67	C₂×D₄	1	8	yes	complemented
560	C₃×#67	#41	1	4	yes	complemented
561	C₂×C₃×Dic₃	—	2	2	no	—
562	C₂×C₃×Dic₃	—	2	4	no	—
563	C₂×C₃×Dic₃	—	2	4	no	—
564	C₂×C₃×Dic₃	—	2	2	no	—
565	C₂×C₃×Dic₃	—	4	1	no	—
566	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
567	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
568	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
569	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
570	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
571	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
572	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
573	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
574	C₃×D₁₂	—	2	4	no	—
575	C₃×D₁₂	—	2	4	no	—
576	C₃×D₁₂	—	2	4	no	—
577	C₃×D₁₂	—	2	2	no	—
578	C₃×D₁₂	—	4	2	no	—
579	C₃×D₁₂	C₂×D₄	1	4	yes	complemented
580	C₃×C₄×D₃	—	2	4	no	—
581	C₃×C₄×D₃	—	2	4	no	—
582	C₃×C₄×D₃	—	2	2	no	—
583	C₃×C₄×D₃	—	2	2	no	—
584	C₃×C₄×D₃	—	2	4	no	—
585	C₃×C₄×D₃	—	2	2	no	—
586	C₃×C₄×D₃	—	2	2	no	—
587	C₃×C₄×D₃	—	2	4	no	—
588	C₃×C₄×D₃	—	2	4	no	—
589	C₃×C₄×D₃	—	2	4	no	—
590	C₃×C₄×D₃	—	4	2	no	—
591	C₃×C₄×D₃	C₂×D₄	1	8	yes	complemented
592	C₃×Dic₆	—	2	2	no	—
593	C₃×Dic₆	—	2	4	no	—
594	C₃×Dic₆	—	2	4	no	—
595	C₃×Dic₆	C₂×D₄	1	4	yes	complemented
596	C₂²×#41	—	3	1	no	—
597	C₂²×#41	—	3	1	no	—
598	#550	—	3	1	no	—
599	D₄×Q₈	—	3	1	no	—
600	#548	—	3	1	no	—
601	#548	—	3	1	no	—
602	#547	—	3	2	no	—
603	#547	—	3	1	no	—
604	#546	—	3	2	no	—
605	#546	—	3	1	no	—
606	#546	—	3	1	no	—
607	#546	—	3	2	no	—
608	D₄²	—	3	1	no	—
609	D₄²	—	3	2	no	—
610	#532	—	3	1	no	—
611	#532	—	3	2	no	—
612	#525	—	3	2	no	—
613	#525	—	3	2	no	—
614	#525	—	3	1	no	—
615	#525	C₃×D₃	1	1	yes	characteristic, complemented
616	C₄×#41	—	3	1	no	—
617	C₂×C₄×D₄	—	3	1	no	—
618	C₂×C₄×D₄	—	3	2	no	—
619	C₂⁴×C₃	—	2	1	no	—
620	C₂⁴×C₃	—	3	2	no	—
621	C₂⁴×C₃	—	3	1	no	—
622	C₂⁴×C₃	—	3	2	no	—
623	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic
624	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
625	C₂³×D₃	C₂³×C₃	1	2	yes	—
626	C₂³×D₃	C₂³×C₃	1	2	yes	—
627	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
628	C₃×#41	—	2	4	no	—
629	C₃×#41	—	2	4	no	—
630	C₃×#41	—	3	8	no	—
631	C₃×#41	—	4	4	no	—
632	C₃×#41	—	6	8	no	—
633	C₃×#41	—	6	8	no	—
634	C₃×#41	—	6	8	no	—
635	C₃×#41	—	6	4	no	—
636	C₃×#41	—	6	4	no	—
637	C₃×#41	—	6	8	no	—
638	C₃×#41	—	6	4	no	—
639	C₃×#41	—	6	4	no	—
640	C₃×#41	—	6	4	no	—
641	C₂×C₃×Q₈	—	2	1	no	—
642	C₂×C₃×Q₈	—	3	1	no	—
643	C₂×C₃×Q₈	—	3	2	no	—
644	C₂×C₃×Q₈	—	3	2	no	—
645	C₂×C₃×Q₈	—	3	1	no	—
646	C₂×C₃×Q₈	—	6	4	no	—
647	C₂×C₃×Q₈	—	6	4	no	—
648	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
649	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic
650	C₂×C₃×D₄	—	2	2	no	—
651	C₂×C₃×D₄	—	2	2	no	—
652	C₂×C₃×D₄	—	2	2	no	—
653	C₂×C₃×D₄	—	2	1	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	2	no	—
661	C₂×C₃×D₄	—	3	2	no	—
662	C₂×C₃×D₄	—	3	2	no	—
663	C₂×C₃×D₄	—	3	2	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	2	no	—
669	C₂×C₃×D₄	—	3	2	no	—
670	C₂×C₃×D₄	—	3	1	no	—
671	C₂×C₃×D₄	—	3	2	no	—
672	C₂×C₃×D₄	—	6	4	no	—
673	C₂×C₃×D₄	—	6	8	no	—
674	C₂×C₃×D₄	—	6	8	no	—
675	C₂×C₃×D₄	—	6	4	no	—
676	C₂×C₃×D₄	—	6	4	no	—
677	C₂×C₃×D₄	—	6	8	no	—
678	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
679	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
680	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
681	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
682	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
683	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
684	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
685	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
686	C₂²×C₃×C₄	—	2	4	no	—
687	C₂²×C₃×C₄	—	2	4	no	—
688	C₂²×C₃×C₄	—	2	1	no	—
689	C₂²×C₃×C₄	—	2	1	no	—
690	C₂²×C₃×C₄	—	2	1	no	—
691	C₂²×C₃×C₄	—	2	2	no	—
692	C₂²×C₃×C₄	—	2	1	no	—
693	C₂²×C₃×C₄	—	2	1	no	—
694	C₂²×C₃×C₄	—	2	1	no	—
695	C₂²×C₃×C₄	—	3	2	no	—
696	C₂²×C₃×C₄	—	3	1	no	—
697	C₂²×C₃×C₄	—	3	1	no	—
698	C₂²×C₃×C₄	—	3	2	no	—
699	C₂²×C₃×C₄	—	3	2	no	—
700	C₂²×C₃×C₄	—	3	1	no	—
701	C₂²×C₃×C₄	—	3	2	no	—
702	C₂²×C₃×C₄	—	3	2	no	—
703	C₂²×C₃×C₄	—	3	2	no	—
704	C₂²×C₃×C₄	—	3	2	no	—
705	C₂²×C₃×C₄	—	3	1	no	—
706	C₂²×C₃×C₄	—	3	2	no	—
707	C₂²×C₃×C₄	—	3	1	no	—
708	C₂²×C₃×C₄	—	3	1	no	—
709	C₂²×C₃×C₄	—	3	1	no	—
710	C₂²×C₃×C₄	—	3	2	no	—
711	C₂²×C₃×C₄	—	3	2	no	—
712	C₂²×C₃×C₄	—	4	4	no	—
713	C₂²×C₃×C₄	—	6	8	no	—
714	C₂²×C₃×C₄	—	6	8	no	—
715	C₂²×C₃×C₄	—	6	4	no	—
716	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
717	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
718	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
719	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
720	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
721	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
722	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
723	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
724	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
725	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
726	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
727	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
728	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
729	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
730	C₂×#67	—	2	8	no	—
731	C₂×#67	—	2	4	no	—
732	C₂×#67	C₂³×C₃	1	2	yes	—
733	C₂×#67	C₂³×C₃	1	1	yes	characteristic
734	C₂×#67	C₂³×C₃	1	2	yes	—
735	C₂×#67	C₂³×C₃	1	2	yes	—
736	C₂×#67	C₂³×C₃	1	2	yes	—
737	C₂×#67	C₂³×C₃	1	1	yes	characteristic
738	C₂×#67	C₂³×C₃	1	1	yes	characteristic
739	C₂×#67	C₂³×C₃	1	2	yes	—
740	C₂×#67	C₂³×C₃	1	2	yes	—
741	C₂×#67	C₂³×C₃	1	2	yes	—
742	C₂×#67	C₂³×C₃	1	2	yes	—
743	C₂×#67	C₂³×C₃	1	1	yes	characteristic
744	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
745	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
746	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
747	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
748	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
749	#239	—	2	4	no	—
750	D₃×Q₈	—	2	4	no	—
751	#237	—	2	8	no	—
752	#237	—	2	4	no	—
753	D₃×D₄	—	2	8	no	—
754	D₃×D₄	—	2	8	no	—
755	D₃×D₄	—	2	4	no	—
756	#235	—	2	4	no	—
757	#235	—	2	8	no	—
758	#235	—	2	4	no	—
759	#235	—	2	8	no	—
760	#235	—	2	8	no	—
761	#235	—	2	4	no	—
762	#235	C₃×D₄	1	8	yes	complemented
763	C₂×D₁₂	—	2	4	no	—
764	C₂×D₁₂	C₂³×C₃	1	2	yes	—
765	C₂×D₁₂	C₂³×C₃	1	2	yes	—
766	C₂×D₁₂	C₂³×C₃	1	2	yes	—
767	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
768	C₂×D₁₂	C₂³×C₃	1	2	yes	—
769	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
770	C₂×C₄×D₃	—	2	4	no	—
771	C₂×C₄×D₃	—	2	8	no	—
772	C₂×C₄×D₃	—	2	8	no	—
773	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
774	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
775	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
776	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
777	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
778	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
779	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
780	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
781	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
782	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
783	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
784	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
785	C₂×Dic₆	—	2	4	no	—
786	C₂×Dic₆	C₂³×C₃	1	2	yes	—
787	C₂×Dic₆	C₂³×C₃	1	2	yes	—
788	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
789	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
790	C₃×C₄⋊C₄	—	2	1	no	—
791	C₃×C₄⋊C₄	—	2	1	no	—
792	C₃×C₄⋊C₄	—	2	2	no	—
793	C₃×C₄⋊C₄	—	2	2	no	—
794	C₃×C₄⋊C₄	—	3	1	no	—
795	C₃×C₄⋊C₄	—	3	2	no	—
796	C₃×C₄⋊C₄	—	3	1	no	—
797	C₃×C₄⋊C₄	—	3	1	no	—
798	C₃×C₄⋊C₄	—	3	1	no	—
799	C₃×C₄⋊C₄	—	3	2	no	—
800	C₃×C₄⋊C₄	—	3	2	no	—
801	C₃×C₄⋊C₄	—	3	2	no	—
802	C₃×C₄⋊C₄	—	3	2	no	—
803	C₃×C₄⋊C₄	—	3	2	no	—
804	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
805	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
806	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
807	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
808	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
809	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
810	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
811	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
812	C₃×C₂²⋊C₄	—	2	2	no	—
813	C₃×C₂²⋊C₄	—	2	2	no	—
814	C₃×C₂²⋊C₄	—	2	2	no	—
815	C₃×C₂²⋊C₄	—	2	2	no	—
816	C₃×C₂²⋊C₄	—	2	2	no	—
817	C₃×C₂²⋊C₄	—	3	1	no	—
818	C₃×C₂²⋊C₄	—	3	1	no	—
819	C₃×C₂²⋊C₄	—	3	1	no	—
820	C₃×C₂²⋊C₄	—	3	2	no	—
821	C₃×C₂²⋊C₄	—	3	1	no	—
822	C₃×C₂²⋊C₄	—	3	2	no	—
823	C₃×C₂²⋊C₄	—	3	1	no	—
824	C₃×C₂²⋊C₄	—	3	1	no	—
825	C₃×C₂²⋊C₄	—	3	2	no	—
826	C₃×C₂²⋊C₄	—	3	1	no	—
827	C₃×C₂²⋊C₄	—	3	2	no	—
828	C₃×C₂²⋊C₄	—	3	2	no	—
829	C₃×C₂²⋊C₄	—	3	1	no	—
830	C₃×C₂²⋊C₄	—	3	2	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	2	no	—
835	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
836	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
837	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
838	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
839	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
840	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
841	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
842	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
843	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
844	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
845	C₃×C₄²	—	2	2	no	—
846	C₃×C₄²	—	3	2	no	—
847	C₃×C₄²	—	3	1	no	—
848	C₃×C₄²	—	3	2	no	—
849	C₃×C₄²	—	3	1	no	—
850	C₃×C₄²	—	3	1	no	—
851	C₃×C₄²	—	3	1	no	—
852	C₃×C₄²	C₂²×D₃	1	2	yes	—
853	C₃×C₄²	C₂³×C₃	1	2	yes	—
854	#217	C₂³×C₃	1	1	yes	characteristic
855	#217	C₂³×C₃	1	2	yes	—
856	#217	C₂³×C₃	1	1	yes	characteristic
857	#217	C₂³×C₃	1	2	yes	—
858	#217	C₂³×C₃	1	1	yes	characteristic
859	#217	C₂³×C₃	1	1	yes	characteristic
860	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
861	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
862	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
863	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
864	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
865	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
866	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
867	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
868	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
869	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
870	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
871	(C₂×D₃)⋊C₄	C₂³×C₃	1	1	yes	characteristic
872	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
873	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
874	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
875	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
876	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
877	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
878	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
879	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
880	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
881	Dic₃⋊C₄	C₂³×C₃	1	1	yes	characteristic
882	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
883	C₄×Dic₃	C₂³×C₃	1	2	yes	—
884	C₄×Dic₃	C₂³×C₃	1	2	yes	—
885	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
886	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
887	C₄×Dic₃	C₂³×C₃	1	1	yes	characteristic
888	C₂²×C₃²	—	2	1	no	—
889	C₂²×C₃²	—	2	1	no	—
890	C₂²×C₃²	—	2	1	no	—
891	C₂²×C₃²	—	2	1	no	—
892	C₂²×C₃²	—	2	1	no	—
893	C₂²×C₃²	—	2	2	no	—
894	C₂²×C₃²	—	2	1	no	—
895	C₂²×C₃²	—	2	1	no	—
896	C₂²×C₃²	—	2	2	no	—
897	C₂²×C₃²	—	2	2	no	—
898	C₂²×C₃²	—	4	4	no	—
899	C₂²×C₃²	C₂²×D₄	1	2	yes	—
900	C₂²×C₃²	C₂×#41	1	2	yes	complemented
901	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
902	C₂×C₃×D₃	—	2	1	no	—
903	C₂×C₃×D₃	—	2	2	no	—
904	C₂×C₃×D₃	—	2	2	no	—
905	C₂×C₃×D₃	—	2	1	no	—
906	C₂×C₃×D₃	—	2	1	no	—
907	C₂×C₃×D₃	—	2	2	no	—
908	C₂×C₃×D₃	—	2	2	no	—
909	C₂×C₃×D₃	—	2	1	no	—
910	C₂×C₃×D₃	—	2	1	no	—
911	C₂×C₃×D₃	—	2	2	no	—
912	C₂×C₃×D₃	—	4	8	no	—
913	C₂×C₃×D₃	—	4	4	no	—
914	C₂×C₃×D₃	—	4	8	no	—
915	C₂×C₃×D₃	C₂²×D₄	1	4	yes	—
916	C₂×C₃×D₃	C₂×#41	1	2	yes	complemented
917	C₃²×C₄	—	2	1	no	—
918	C₃²×C₄	—	2	2	no	—
919	C₃²×C₄	—	2	1	no	—
920	C₃²×C₄	—	2	2	no	—
921	C₃²×C₄	—	2	2	no	—
922	C₃²×C₄	C₂²×D₄	1	2	yes	—
923	C₃²×C₄	C₂²×D₄	1	2	yes	—
924	C₃×Dic₃	—	2	2	no	—
925	C₃×Dic₃	—	2	1	no	—
926	C₃×Dic₃	—	2	1	no	—
927	C₃×Dic₃	—	2	1	no	—
928	C₃×Dic₃	—	2	1	no	—
929	C₃×Dic₃	—	2	1	no	—
930	C₃×Dic₃	C₂²×D₄	1	4	yes	—
931	C₃×Dic₃	C₂×#41	1	2	yes	complemented
932	C₂×#41	—	3	1	no	—
933	C₂×#41	—	3	2	no	—
934	C₂×#41	—	3	1	no	—
935	C₂×#41	—	3	1	no	—
936	C₂×#41	—	3	2	no	—
937	C₂×#41	—	3	2	no	—
938	C₂×#41	—	3	1	no	—
939	C₂×#41	—	3	1	no	—
940	C₂×#41	—	3	2	no	—
941	C₂×#41	—	3	1	no	—
942	C₂×#41	—	6	8	no	—
943	C₂×#41	—	6	8	no	—
944	C₂×#41	C₂×C₃×D₃	1	1	yes	characteristic, complemented
945	C₂²×Q₈	—	3	1	no	—
946	C₂²×Q₈	—	3	1	no	—
947	C₂²×D₄	—	3	1	no	—
948	C₂²×D₄	—	3	2	no	—
949	C₂²×D₄	—	3	2	no	—
950	C₂²×D₄	—	3	2	no	—
951	C₂²×D₄	—	3	1	no	—
952	C₂²×D₄	—	3	1	no	—
953	C₂³×C₄	—	3	2	no	—
954	C₂³×C₄	—	3	2	no	—
955	C₂³×C₄	—	3	1	no	—
956	C₂³×C₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
957	C₄⋊Q₈	—	3	1	no	—
958	C₄⋊Q₈	—	3	2	no	—
959	#127	—	3	2	no	—
960	#127	—	3	1	no	—
961	#124	—	3	1	no	—
962	#124	—	3	1	no	—
963	#124	—	3	2	no	—
964	#124	—	3	2	no	—
965	#123	—	3	2	no	—
966	#123	—	3	2	no	—
967	#123	—	3	2	no	—
968	#123	—	3	2	no	—
969	#123	—	3	2	no	—
970	#123	C₂×C₃×D₃	1	2	yes	complemented
971	C₂²⋊Q₈	—	3	2	no	—
972	C₂²⋊Q₈	—	3	1	no	—
973	C₂²⋊Q₈	—	3	2	no	—
974	C₂²⋊Q₈	—	3	1	no	—
975	C₂²⋊Q₈	—	3	2	no	—
976	C₂²⋊Q₈	—	3	2	no	—
977	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
978	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
979	#121	—	3	2	no	—
980	#121	—	3	2	no	—
981	#121	—	3	2	no	—
982	#121	—	3	2	no	—
983	#121	—	3	2	no	—
984	#121	—	3	1	no	—
985	#121	—	3	1	no	—
986	#121	—	3	2	no	—
987	#121	—	3	2	no	—
988	#121	—	3	2	no	—
989	#121	—	3	2	no	—
990	#121	—	3	2	no	—
991	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
992	#121	C₂×C₃×D₃	1	1	yes	characteristic, complemented
993	#120	—	3	2	no	—
994	#120	—	3	2	no	—
995	#120	—	3	2	no	—
996	#120	—	3	2	no	—
997	#120	—	3	2	no	—
998	#120	C₂×C₃×D₃	1	2	yes	complemented
999	C₄×Q₈	—	3	1	no	—
1000	C₄×Q₈	—	3	1	no	—
1001	C₄×D₄	—	3	2	no	—
1002	C₄×D₄	—	3	1	no	—
1003	C₄×D₄	—	3	1	no	—
1004	C₄×D₄	—	3	1	no	—
1005	C₄×D₄	—	3	2	no	—
1006	C₄×D₄	—	3	1	no	—
1007	C₄×D₄	—	3	1	no	—
1008	C₄×D₄	—	3	1	no	—
1009	C₄×D₄	—	3	1	no	—
1010	C₄×D₄	—	3	1	no	—
1011	C₄×D₄	—	3	2	no	—
1012	C₄×D₄	—	3	2	no	—
1013	C₄×D₄	—	3	1	no	—
1014	C₄×D₄	—	3	1	no	—
1015	C₄×D₄	—	3	2	no	—
1016	C₄×D₄	—	3	2	no	—
1017	C₄×D₄	—	3	2	no	—
1018	C₄×D₄	—	3	2	no	—
1019	C₄×D₄	—	3	2	no	—
1020	C₄×D₄	—	3	2	no	—
1021	C₄×D₄	C₂×C₃×D₃	1	2	yes	complemented
1022	C₄×D₄	C₂×C₃×D₃	1	2	yes	complemented
1023	#117	—	3	2	no	—
1024	#117	C₂×C₃×D₃	1	1	yes	characteristic, complemented
1025	C₂×C₄⋊C₄	—	3	1	no	—
1026	C₂×C₄⋊C₄	—	3	2	no	—
1027	C₂×C₂²⋊C₄	—	3	1	no	—
1028	C₂×C₂²⋊C₄	—	3	1	no	—
1029	C₂×C₂²⋊C₄	—	3	2	no	—
1030	C₂×C₂²⋊C₄	—	3	2	no	—
1031	C₂×C₄²	—	3	1	no	—
1032	C₂×C₄²	—	3	2	no	—
1033	C₂³×C₃	—	2	2	no	—
1034	C₂³×C₃	—	2	2	no	—
1035	C₂³×C₃	—	2	2	no	—
1036	C₂³×C₃	—	2	2	no	—
1037	C₂³×C₃	—	2	1	no	—
1038	C₂³×C₃	—	2	1	no	—
1039	C₂³×C₃	—	2	1	no	—
1040	C₂³×C₃	—	2	2	no	—
1041	C₂³×C₃	—	3	1	no	—
1042	C₂³×C₃	—	3	2	no	—
1043	C₂³×C₃	—	3	1	no	—
1044	C₂³×C₃	—	3	2	no	—
1045	C₂³×C₃	—	4	2	no	—
1046	C₂³×C₃	—	4	2	no	—
1047	C₂³×C₃	—	4	1	no	—
1048	C₂³×C₃	—	4	1	no	—
1049	C₂³×C₃	—	4	2	no	—
1050	C₂³×C₃	—	6	4	no	—
1051	C₂³×C₃	—	6	4	no	—
1052	C₂³×C₃	—	6	2	no	—
1053	C₂³×C₃	—	6	4	no	—
1054	C₂³×C₃	—	6	2	no	—
1055	C₂³×C₃	—	6	4	no	—
1056	C₂³×C₃	—	12	1	no	—
1057	C₂³×C₃	—	12	2	no	—
1058	C₂³×C₃	—	12	2	no	—
1059	C₂³×C₃	C₂³×D₃	1	2	yes	—
1060	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1061	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1062	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
1063	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
1064	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1065	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1066	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
1067	C₂²×D₃	—	2	2	no	—
1068	C₂²×D₃	—	2	4	no	—
1069	C₂²×D₃	—	2	4	no	—
1070	C₂²×D₃	—	2	4	no	—
1071	C₂²×D₃	—	2	4	no	—
1072	C₂²×D₃	—	2	2	no	—
1073	C₂²×D₃	—	4	2	no	—
1074	C₂²×D₃	—	4	2	no	—
1075	C₂²×D₃	—	4	1	no	—
1076	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
1077	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1078	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
1079	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
1080	C₃×Q₈	—	2	2	no	—
1081	C₃×Q₈	—	2	2	no	—
1082	C₃×Q₈	—	3	4	no	—
1083	C₃×Q₈	—	4	2	no	—
1084	C₃×Q₈	—	6	4	no	—
1085	C₃×Q₈	—	6	4	no	—
1086	C₃×Q₈	—	6	2	no	—
1087	C₃×D₄	—	2	4	no	—
1088	C₃×D₄	—	2	4	no	—
1089	C₃×D₄	—	2	4	no	—
1090	C₃×D₄	—	2	4	no	—
1091	C₃×D₄	—	2	2	no	—
1092	C₃×D₄	—	2	2	no	—
1093	C₃×D₄	—	3	8	no	—
1094	C₃×D₄	—	3	4	no	—
1095	C₃×D₄	—	3	4	no	—
1096	C₃×D₄	—	4	2	no	—
1097	C₃×D₄	—	4	4	no	—
1098	C₃×D₄	—	4	4	no	—
1099	C₃×D₄	—	4	2	no	—
1100	C₃×D₄	—	4	2	no	—
1101	C₃×D₄	—	4	4	no	—
1102	C₃×D₄	—	6	4	no	—
1103	C₃×D₄	—	6	4	no	—
1104	C₃×D₄	—	6	4	no	—
1105	C₃×D₄	—	6	4	no	—
1106	C₃×D₄	—	6	2	no	—
1107	C₃×D₄	—	6	4	no	—
1108	C₃×D₄	—	6	4	no	—
1109	C₃×D₄	—	6	2	no	—
1110	C₃×D₄	—	6	4	no	—
1111	C₃×D₄	—	6	4	no	—
1112	C₃×D₄	—	6	4	no	—
1113	C₃×D₄	—	6	2	no	—
1114	C₃×D₄	—	6	2	no	—
1115	C₃×D₄	—	12	2	no	—
1116	C₃×D₄	—	12	2	no	—
1117	C₂×C₃×C₄	—	2	2	no	—
1118	C₂×C₃×C₄	—	2	2	no	—
1119	C₂×C₃×C₄	—	2	2	no	—
1120	C₂×C₃×C₄	—	2	2	no	—
1121	C₂×C₃×C₄	—	2	2	no	—
1122	C₂×C₃×C₄	—	2	2	no	—
1123	C₂×C₃×C₄	—	2	4	no	—
1124	C₂×C₃×C₄	—	2	2	no	—
1125	C₂×C₃×C₄	—	2	2	no	—
1126	C₂×C₃×C₄	—	2	4	no	—
1127	C₂×C₃×C₄	—	2	2	no	—
1128	C₂×C₃×C₄	—	2	2	no	—
1129	C₂×C₃×C₄	—	2	1	no	—
1130	C₂×C₃×C₄	—	2	1	no	—
1131	C₂×C₃×C₄	—	2	2	no	—
1132	C₂×C₃×C₄	—	2	2	no	—
1133	C₂×C₃×C₄	—	2	1	no	—
1134	C₂×C₃×C₄	—	2	1	no	—
1135	C₂×C₃×C₄	—	2	2	no	—
1136	C₂×C₃×C₄	—	2	4	no	—
1137	C₂×C₃×C₄	—	3	1	no	—
1138	C₂×C₃×C₄	—	3	2	no	—
1139	C₂×C₃×C₄	—	3	8	no	—
1140	C₂×C₃×C₄	—	3	1	no	—
1141	C₂×C₃×C₄	—	3	1	no	—
1142	C₂×C₃×C₄	—	3	1	no	—
1143	C₂×C₃×C₄	—	3	1	no	—
1144	C₂×C₃×C₄	—	3	1	no	—
1145	C₂×C₃×C₄	—	3	2	no	—
1146	C₂×C₃×C₄	—	4	2	no	—
1147	C₂×C₃×C₄	—	4	2	no	—
1148	C₂×C₃×C₄	—	4	2	no	—
1149	C₂×C₃×C₄	—	4	2	no	—
1150	C₂×C₃×C₄	—	4	4	no	—
1151	C₂×C₃×C₄	—	4	2	no	—
1152	C₂×C₃×C₄	—	6	4	no	—
1153	C₂×C₃×C₄	—	6	4	no	—
1154	C₂×C₃×C₄	—	6	4	no	—
1155	C₂×C₃×C₄	—	6	4	no	—
1156	C₂×C₃×C₄	—	6	4	no	—
1157	C₂×C₃×C₄	—	6	4	no	—
1158	C₂×C₃×C₄	—	6	4	no	—
1159	C₂×C₃×C₄	—	6	2	no	—
1160	C₂×C₃×C₄	—	6	2	no	—
1161	C₂×C₃×C₄	—	6	2	no	—
1162	C₂×C₃×C₄	—	6	2	no	—
1163	C₂×C₃×C₄	—	6	2	no	—
1164	C₂×C₃×C₄	—	6	4	no	—
1165	C₂×C₃×C₄	—	6	2	no	—
1166	C₂×C₃×C₄	—	12	2	no	—
1167	C₂×C₃×C₄	—	12	1	no	—
1168	C₂×C₃×C₄	D₃×D₄	1	4	yes	complemented
1169	C₂×C₃×C₄	C₂×C₃×D₄	1	4	yes	complemented
1170	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1171	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1172	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1173	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
1174	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1175	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1176	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
1177	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1178	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1179	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1180	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
1181	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1182	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1183	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
1184	#67	—	2	4	no	—
1185	#67	—	2	2	no	—
1186	#67	—	2	4	no	—
1187	#67	—	2	4	no	—
1188	#67	—	2	2	no	—
1189	#67	—	2	4	no	—
1190	#67	—	2	4	no	—
1191	#67	—	2	4	no	—
1192	#67	—	2	2	no	—
1193	#67	—	4	2	no	—
1194	#67	C₂×C₃×D₄	1	8	yes	complemented
1195	#67	C₃×#41	1	4	yes	complemented
1196	C₂×Dic₃	—	2	2	no	—
1197	C₂×Dic₃	—	2	4	no	—
1198	C₂×Dic₃	—	2	4	no	—
1199	C₂×Dic₃	—	2	2	no	—
1200	C₂×Dic₃	—	4	1	no	—
1201	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1202	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1203	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1204	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1205	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1206	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1207	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
1208	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
1209	D₁₂	—	2	4	no	—
1210	D₁₂	—	2	4	no	—
1211	D₁₂	—	2	4	no	—
1212	D₁₂	—	2	2	no	—
1213	D₁₂	—	4	2	no	—
1214	D₁₂	C₂×C₃×D₄	1	4	yes	complemented
1215	C₄×D₃	—	2	4	no	—
1216	C₄×D₃	—	2	4	no	—
1217	C₄×D₃	—	2	2	no	—
1218	C₄×D₃	—	2	2	no	—
1219	C₄×D₃	—	2	4	no	—
1220	C₄×D₃	—	2	2	no	—
1221	C₄×D₃	—	2	2	no	—
1222	C₄×D₃	—	2	4	no	—
1223	C₄×D₃	—	2	4	no	—
1224	C₄×D₃	—	2	4	no	—
1225	C₄×D₃	—	4	2	no	—
1226	C₄×D₃	C₂×C₃×D₄	1	8	yes	complemented
1227	Dic₆	—	2	2	no	—
1228	Dic₆	—	2	4	no	—
1229	Dic₆	—	2	4	no	—
1230	Dic₆	C₂×C₃×D₄	1	4	yes	complemented
1231	C₂×C₃²	—	2	2	no	—
1232	C₂×C₃²	—	2	2	no	—
1233	C₂×C₃²	—	4	1	no	—
1234	C₂×C₃²	—	4	2	no	—
1235	C₂×C₃²	C₂³×D₄	1	1	yes	characteristic
1236	C₂×C₃²	C₂²×#41	1	1	yes	characteristic
1237	C₂×C₃²	#585	1	1	yes	characteristic
1238	C₃×D₃	—	2	2	no	—
1239	C₃×D₃	—	2	4	no	—
1240	C₃×D₃	—	4	2	no	—
1241	C₃×D₃	—	4	1	no	—
1242	C₂⁴	—	3	2	no	—
1243	C₂⁴	—	3	1	no	—
1244	C₂⁴	—	3	2	no	—
1245	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
1246	#41	—	2	4	no	—
1247	#41	—	3	8	no	—
1248	#41	—	6	8	no	—
1249	#41	—	6	8	no	—
1250	#41	—	6	8	no	—
1251	#41	—	6	4	no	—
1252	#41	—	6	4	no	—
1253	#41	—	6	8	no	—
1254	#41	—	6	4	no	—
1255	#41	—	6	4	no	—
1256	#41	—	6	4	no	—
1257	C₂×Q₈	—	3	1	no	—
1258	C₂×Q₈	—	3	2	no	—
1259	C₂×Q₈	—	3	2	no	—
1260	C₂×Q₈	—	3	1	no	—
1261	C₂×Q₈	—	6	4	no	—
1262	C₂×Q₈	—	6	4	no	—
1263	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
1264	C₂×D₄	—	3	1	no	—
1265	C₂×D₄	—	3	2	no	—
1266	C₂×D₄	—	3	1	no	—
1267	C₂×D₄	—	3	1	no	—
1268	C₂×D₄	—	3	2	no	—
1269	C₂×D₄	—	3	1	no	—
1270	C₂×D₄	—	3	2	no	—
1271	C₂×D₄	—	3	2	no	—
1272	C₂×D₄	—	3	2	no	—
1273	C₂×D₄	—	3	2	no	—
1274	C₂×D₄	—	3	2	no	—
1275	C₂×D₄	—	3	2	no	—
1276	C₂×D₄	—	3	1	no	—
1277	C₂×D₄	—	3	2	no	—
1278	C₂×D₄	—	3	2	no	—
1279	C₂×D₄	—	3	2	no	—
1280	C₂×D₄	—	3	1	no	—
1281	C₂×D₄	—	3	2	no	—
1282	C₂×D₄	—	6	4	no	—
1283	C₂×D₄	—	6	8	no	—
1284	C₂×D₄	—	6	4	no	—
1285	C₂×D₄	—	6	8	no	—
1286	C₂×D₄	—	6	8	no	—
1287	C₂×D₄	—	6	4	no	—
1288	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1289	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1290	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1291	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1292	C₂²×C₄	—	2	4	no	—
1293	C₂²×C₄	—	3	2	no	—
1294	C₂²×C₄	—	3	1	no	—
1295	C₂²×C₄	—	3	1	no	—
1296	C₂²×C₄	—	3	2	no	—
1297	C₂²×C₄	—	3	2	no	—
1298	C₂²×C₄	—	3	1	no	—
1299	C₂²×C₄	—	3	2	no	—
1300	C₂²×C₄	—	3	2	no	—
1301	C₂²×C₄	—	3	2	no	—
1302	C₂²×C₄	—	3	1	no	—
1303	C₂²×C₄	—	3	1	no	—
1304	C₂²×C₄	—	3	2	no	—
1305	C₂²×C₄	—	3	2	no	—
1306	C₂²×C₄	—	3	1	no	—
1307	C₂²×C₄	—	3	2	no	—
1308	C₂²×C₄	—	3	1	no	—
1309	C₂²×C₄	—	3	2	no	—
1310	C₂²×C₄	—	6	8	no	—
1311	C₂²×C₄	—	6	8	no	—
1312	C₂²×C₄	—	6	4	no	—
1313	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1314	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1315	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1316	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1317	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1318	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1319	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1320	C₄⋊C₄	—	3	1	no	—
1321	C₄⋊C₄	—	3	2	no	—
1322	C₄⋊C₄	—	3	1	no	—
1323	C₄⋊C₄	—	3	1	no	—
1324	C₄⋊C₄	—	3	1	no	—
1325	C₄⋊C₄	—	3	2	no	—
1326	C₄⋊C₄	—	3	2	no	—
1327	C₄⋊C₄	—	3	2	no	—
1328	C₄⋊C₄	—	3	2	no	—
1329	C₄⋊C₄	—	3	2	no	—
1330	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1331	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1332	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1333	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1334	C₂²⋊C₄	—	3	1	no	—
1335	C₂²⋊C₄	—	3	1	no	—
1336	C₂²⋊C₄	—	3	1	no	—
1337	C₂²⋊C₄	—	3	2	no	—
1338	C₂²⋊C₄	—	3	1	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	2	no	—
1345	C₂²⋊C₄	—	3	2	no	—
1346	C₂²⋊C₄	—	3	1	no	—
1347	C₂²⋊C₄	—	3	2	no	—
1348	C₂²⋊C₄	—	3	2	no	—
1349	C₂²⋊C₄	—	3	2	no	—
1350	C₂²⋊C₄	—	3	2	no	—
1351	C₂²⋊C₄	—	3	2	no	—
1352	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1353	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1354	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1355	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1356	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1357	C₄²	—	3	1	no	—
1358	C₄²	—	3	1	no	—
1359	C₄²	—	3	2	no	—
1360	C₄²	—	3	1	no	—
1361	C₄²	—	3	2	no	—
1362	C₄²	—	3	1	no	—
1363	C₄²	C₂²×C₃×D₃	1	2	yes	—
1364	C₂²×C₃	—	2	1	no	—
1365	C₂²×C₃	—	2	1	no	—
1366	C₂²×C₃	—	2	1	no	—
1367	C₂²×C₃	—	2	1	no	—
1368	C₂²×C₃	—	2	1	no	—
1369	C₂²×C₃	—	2	1	no	—
1370	C₂²×C₃	—	2	1	no	—
1371	C₂²×C₃	—	2	1	no	—
1372	C₂²×C₃	—	2	2	no	—
1373	C₂²×C₃	—	2	1	no	—
1374	C₂²×C₃	—	2	2	no	—
1375	C₂²×C₃	—	2	2	no	—
1376	C₂²×C₃	—	2	1	no	—
1377	C₂²×C₃	—	2	1	no	—
1378	C₂²×C₃	—	2	2	no	—
1379	C₂²×C₃	—	2	2	no	—
1380	C₂²×C₃	—	2	1	no	—
1381	C₂²×C₃	—	2	1	no	—
1382	C₂²×C₃	—	2	2	no	—
1383	C₂²×C₃	—	2	2	no	—
1384	C₂²×C₃	—	2	1	no	—
1385	C₂²×C₃	—	2	2	no	—
1386	C₂²×C₃	—	2	2	no	—
1387	C₂²×C₃	—	2	1	no	—
1388	C₂²×C₃	—	3	4	no	—
1389	C₂²×C₃	—	3	2	no	—
1390	C₂²×C₃	—	4	1	no	—
1391	C₂²×C₃	—	4	1	no	—
1392	C₂²×C₃	—	4	1	no	—
1393	C₂²×C₃	—	4	1	no	—
1394	C₂²×C₃	—	4	1	no	—
1395	C₂²×C₃	—	4	1	no	—
1396	C₂²×C₃	—	4	2	no	—
1397	C₂²×C₃	—	4	2	no	—
1398	C₂²×C₃	—	4	2	no	—
1399	C₂²×C₃	—	4	4	no	—
1400	C₂²×C₃	—	4	4	no	—
1401	C₂²×C₃	—	4	8	no	—
1402	C₂²×C₃	—	6	1	no	—
1403	C₂²×C₃	—	6	2	no	—
1404	C₂²×C₃	—	6	2	no	—
1405	C₂²×C₃	—	6	1	no	—
1406	C₂²×C₃	—	6	2	no	—
1407	C₂²×C₃	—	6	1	no	—
1408	C₂²×C₃	—	6	2	no	—
1409	C₂²×C₃	—	6	1	no	—
1410	C₂²×C₃	—	6	1	no	—
1411	C₂²×C₃	—	6	2	no	—
1412	C₂²×C₃	—	12	8	no	—
1413	C₂²×C₃	—	12	4	no	—
1414	C₂²×C₃	—	12	8	no	—
1415	C₂²×C₃	C₂×D₃×D₄	1	2	yes	—
1416	C₂²×C₃	D₃×#41	1	2	yes	complemented
1417	C₂²×C₃	C₂²×C₃×D₄	1	2	yes	—
1418	C₂²×C₃	C₂×C₃×#41	1	2	yes	complemented
1419	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1420	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1421	C₂×D₃	—	2	1	no	—
1422	C₂×D₃	—	2	2	no	—
1423	C₂×D₃	—	2	2	no	—
1424	C₂×D₃	—	2	1	no	—
1425	C₂×D₃	—	2	1	no	—
1426	C₂×D₃	—	2	2	no	—
1427	C₂×D₃	—	2	2	no	—
1428	C₂×D₃	—	2	1	no	—
1429	C₂×D₃	—	2	1	no	—
1430	C₂×D₃	—	2	2	no	—
1431	C₂×D₃	—	4	8	no	—
1432	C₂×D₃	—	4	4	no	—
1433	C₂×D₃	—	4	8	no	—
1434	C₂×D₃	C₂²×C₃×D₄	1	4	yes	—
1435	C₂×D₃	C₂×C₃×#41	1	2	yes	complemented
1436	C₃×C₄	—	2	1	no	—
1437	C₃×C₄	—	2	1	no	—
1438	C₃×C₄	—	2	2	no	—
1439	C₃×C₄	—	2	2	no	—
1440	C₃×C₄	—	2	2	no	—
1441	C₃×C₄	—	2	1	no	—
1442	C₃×C₄	—	2	2	no	—
1443	C₃×C₄	—	2	1	no	—
1444	C₃×C₄	—	2	2	no	—
1445	C₃×C₄	—	2	2	no	—
1446	C₃×C₄	—	2	2	no	—
1447	C₃×C₄	—	2	2	no	—
1448	C₃×C₄	—	3	4	no	—
1449	C₃×C₄	—	3	2	no	—
1450	C₃×C₄	—	4	1	no	—
1451	C₃×C₄	—	4	1	no	—
1452	C₃×C₄	—	4	2	no	—
1453	C₃×C₄	—	4	2	no	—
1454	C₃×C₄	—	4	2	no	—
1455	C₃×C₄	—	6	1	no	—
1456	C₃×C₄	—	6	2	no	—
1457	C₃×C₄	—	6	1	no	—
1458	C₃×C₄	—	6	1	no	—
1459	C₃×C₄	—	6	1	no	—
1460	C₃×C₄	—	6	1	no	—
1461	C₃×C₄	C₂×D₃×D₄	1	2	yes	—
1462	C₃×C₄	C₂×D₃×D₄	1	2	yes	—
1463	C₃×C₄	C₂²×C₃×D₄	1	2	yes	—
1464	C₃×C₄	C₂²×C₃×D₄	1	2	yes	—
1465	Dic₃	—	2	2	no	—
1466	Dic₃	—	2	1	no	—
1467	Dic₃	—	2	1	no	—
1468	Dic₃	—	2	1	no	—
1469	Dic₃	—	2	1	no	—
1470	Dic₃	—	2	1	no	—
1471	Dic₃	C₂²×C₃×D₄	1	4	yes	—
1472	Dic₃	C₂×C₃×#41	1	2	yes	complemented
1473	C₃²	D₄×#41	1	1	yes	characteristic, complemented, Sylow
1474	C₂³	—	2	2	no	—
1475	C₂³	—	2	2	no	—
1476	C₂³	—	3	1	no	—
1477	C₂³	—	3	2	no	—
1478	C₂³	—	3	1	no	—
1479	C₂³	—	3	2	no	—
1480	C₂³	—	4	1	no	—
1481	C₂³	—	6	4	no	—
1482	C₂³	—	6	4	no	—
1483	C₂³	—	6	2	no	—
1484	C₂³	—	6	4	no	—
1485	C₂³	—	6	2	no	—
1486	C₂³	—	6	4	no	—
1487	C₂³	—	12	1	no	—
1488	C₂³	—	12	2	no	—
1489	C₂³	—	12	2	no	—
1490	C₂³	C₂³×C₃×D₃	1	2	yes	—
1491	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1492	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1493	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1494	Q₈	—	2	2	no	—
1495	Q₈	—	3	4	no	—
1496	Q₈	—	6	4	no	—
1497	Q₈	—	6	4	no	—
1498	Q₈	—	6	2	no	—
1499	D₄	—	2	4	no	—
1500	D₄	—	2	4	no	—
1501	D₄	—	2	2	no	—
1502	D₄	—	3	8	no	—
1503	D₄	—	3	4	no	—
1504	D₄	—	3	4	no	—
1505	D₄	—	4	2	no	—
1506	D₄	—	6	4	no	—
1507	D₄	—	6	4	no	—
1508	D₄	—	6	4	no	—
1509	D₄	—	6	4	no	—
1510	D₄	—	6	4	no	—
1511	D₄	—	6	4	no	—
1512	D₄	—	6	2	no	—
1513	D₄	—	6	4	no	—
1514	D₄	—	6	4	no	—
1515	D₄	—	6	2	no	—
1516	D₄	—	6	4	no	—
1517	D₄	—	6	2	no	—
1518	D₄	—	6	2	no	—
1519	D₄	—	12	2	no	—
1520	D₄	—	12	2	no	—
1521	C₂×C₄	—	2	2	no	—
1522	C₂×C₄	—	2	2	no	—
1523	C₂×C₄	—	2	2	no	—
1524	C₂×C₄	—	2	2	no	—
1525	C₂×C₄	—	2	2	no	—
1526	C₂×C₄	—	2	4	no	—
1527	C₂×C₄	—	3	1	no	—
1528	C₂×C₄	—	3	2	no	—
1529	C₂×C₄	—	3	8	no	—
1530	C₂×C₄	—	3	1	no	—
1531	C₂×C₄	—	3	1	no	—
1532	C₂×C₄	—	3	1	no	—
1533	C₂×C₄	—	3	1	no	—
1534	C₂×C₄	—	3	1	no	—
1535	C₂×C₄	—	3	2	no	—
1536	C₂×C₄	—	6	4	no	—
1537	C₂×C₄	—	6	4	no	—
1538	C₂×C₄	—	6	4	no	—
1539	C₂×C₄	—	6	4	no	—
1540	C₂×C₄	—	6	4	no	—
1541	C₂×C₄	—	6	4	no	—
1542	C₂×C₄	—	6	4	no	—
1543	C₂×C₄	—	6	2	no	—
1544	C₂×C₄	—	6	2	no	—
1545	C₂×C₄	—	6	2	no	—
1546	C₂×C₄	—	6	2	no	—
1547	C₂×C₄	—	6	2	no	—
1548	C₂×C₄	—	6	4	no	—
1549	C₂×C₄	—	6	2	no	—
1550	C₂×C₄	—	12	2	no	—
1551	C₂×C₄	—	12	1	no	—
1552	C₂×C₄	C₃×D₃×D₄	1	4	yes	complemented
1553	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1554	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1555	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1556	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1557	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1558	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1559	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1560	C₂×C₃	—	2	2	no	—
1561	C₂×C₃	—	2	2	no	—
1562	C₂×C₃	—	2	2	no	—
1563	C₂×C₃	—	2	2	no	—
1564	C₂×C₃	—	2	1	no	—
1565	C₂×C₃	—	2	1	no	—
1566	C₂×C₃	—	2	1	no	—
1567	C₂×C₃	—	4	2	no	—
1568	C₂×C₃	—	4	2	no	—
1569	C₂×C₃	—	4	2	no	—
1570	C₂×C₃	—	4	1	no	—
1571	C₂×C₃	—	4	2	no	—
1572	C₂×C₃	—	4	2	no	—
1573	C₂×C₃	—	4	1	no	—
1574	C₂×C₃	—	6	2	no	—
1575	C₂×C₃	—	6	4	no	—
1576	C₂×C₃	—	8	2	no	—
1577	C₂×C₃	—	12	2	no	—
1578	C₂×C₃	—	12	1	no	—
1579	C₂×C₃	C₂²×D₃×D₄	1	1	yes	characteristic
1580	C₂×C₃	C₂×D₃×#41	1	1	yes	characteristic
1581	C₂×C₃	#5964	1	1	yes	characteristic
1582	C₂×C₃	C₂³×C₃×D₄	1	1	yes	characteristic
1583	C₂×C₃	C₂²×C₃×#41	1	1	yes	characteristic
1584	C₂×C₃	C₃×#585	1	1	yes	characteristic
1585	D₃	—	2	2	no	—
1586	D₃	—	2	4	no	—
1587	D₃	—	4	2	no	—
1588	D₃	—	4	1	no	—
1589	C₂²	—	2	1	no	—
1590	C₂²	—	2	1	no	—
1591	C₂²	—	2	1	no	—
1592	C₂²	—	2	1	no	—
1593	C₂²	—	2	1	no	—
1594	C₂²	—	2	2	no	—
1595	C₂²	—	2	2	no	—
1596	C₂²	—	2	1	no	—
1597	C₂²	—	2	1	no	—
1598	C₂²	—	2	2	no	—
1599	C₂²	—	3	4	no	—
1600	C₂²	—	3	2	no	—
1601	C₂²	—	4	4	no	—
1602	C₂²	—	6	1	no	—
1603	C₂²	—	6	2	no	—
1604	C₂²	—	6	2	no	—
1605	C₂²	—	6	1	no	—
1606	C₂²	—	6	2	no	—
1607	C₂²	—	6	1	no	—
1608	C₂²	—	6	2	no	—
1609	C₂²	—	6	1	no	—
1610	C₂²	—	6	1	no	—
1611	C₂²	—	6	2	no	—
1612	C₂²	—	12	8	no	—
1613	C₂²	—	12	4	no	—
1614	C₂²	—	12	8	no	—
1615	C₂²	C₂×C₃×D₃×D₄	1	2	yes	—
1616	C₂²	C₃×D₃×#41	1	2	yes	complemented
1617	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1618	C₄	—	2	1	no	—
1619	C₄	—	2	1	no	—
1620	C₄	—	2	2	no	—
1621	C₄	—	2	2	no	—
1622	C₄	—	2	2	no	—
1623	C₄	—	3	4	no	—
1624	C₄	—	3	2	no	—
1625	C₄	—	6	1	no	—
1626	C₄	—	6	2	no	—
1627	C₄	—	6	1	no	—
1628	C₄	—	6	1	no	—
1629	C₄	—	6	1	no	—
1630	C₄	—	6	1	no	—
1631	C₄	C₂×C₃×D₃×D₄	1	2	yes	—
1632	C₄	C₂×C₃×D₃×D₄	1	2	yes	—
1633	C₃	—	2	1	no	—
1634	C₃	#86037	1	1	yes	characteristic, direct product factor
1635	C₃	C₃×D₄×#41	1	1	yes	characteristic, complemented
1636	C₂	—	2	2	no	—
1637	C₂	—	2	2	no	—
1638	C₂	—	4	1	no	—
1639	C₂	—	4	2	no	—
1640	C₂	—	6	2	no	—
1641	C₂	—	6	4	no	—
1642	C₂	—	12	2	no	—
1643	C₂	—	12	1	no	—
1644	C₂	C₂²×C₃×D₃×D₄	1	1	yes	characteristic
1645	C₂	C₂×C₃×D₃×#41	1	1	yes	characteristic
1646	C₂	C₃×#5964	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₃×C₄	C₂³×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₃
Fitting	C₃²×#525	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#525	D₃
hypocenter	C₃	C₃×D₄×#41
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₃×C₄ ◁ C₃×#525

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×D₃×#41	C₂	semidirect
2. C₂²×C₃×#235	C₂	semidirect
3. C₃²×#525	C₂	semidirect
4. C₃×#5832	C₂	semidirect
5. C₂×C₃×C₄×#67	C₂	semidirect
6. C₃×#5655	C₂	semidirect
7. C₃×#5654	C₂	semidirect
8. C₃×#5633	C₂	semidirect
9. C₃×#5632	C₂	semidirect
10. C₃×#5631	C₂	semidirect
11. C₃×#5630	C₂	semidirect
12. C₃×#5612	C₂	semidirect
13. C₃×#5609	C₂	semidirect
14. C₃×#5599	C₂	semidirect
15. C₃×#5598	C₂	semidirect
16. C₃×#5591	C₂	semidirect
17. C₃×#5590	C₂	semidirect
18. C₃×#5548	C₂	semidirect
19. C₃×#5547	C₂	semidirect
20. C₃×#5547	C₂	semidirect
21. C₃×C₄×D₃×D₄	C₂	semidirect
22. C₃×#5524	C₂	semidirect
23. C₃×#5522	C₂	semidirect
25. #86037	C₃	direct (N × H)
26. C₂×C₃²×#41	C₂²	semidirect
27. C₂³×C₃²×C₄	C₂²	semidirect
29. C₂²×C₃×#67	C₂²	semidirect
31. C₂×C₃×#239	C₂²	semidirect
32. C₂×C₃×D₃×Q₈	C₂²	semidirect
33. C₂×C₃×#237	C₂²	semidirect
34. C₂×C₃×#237	C₂²	semidirect
36. C₂×C₃×D₃×D₄	C₂²	semidirect
37. C₂×C₃×D₃×D₄	C₂²	semidirect
40. C₂×C₃×#235	C₂²	semidirect
41. C₂×C₃×#235	C₂²	semidirect
42. C₂×C₃×#235	C₂²	semidirect
43. C₂×C₃×#235	C₂²	semidirect
44. C₂×C₃×#235	C₂²	semidirect
45. 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. C₂²×C₃×C₄×D₃	C₂²	semidirect
50. C₂²×C₃×Dic₆	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×#121	C₂²	semidirect
56. C₃²×#120	C₂²	semidirect
57. C₃²×C₄×D₄	C₂²	semidirect
58. C₃²×C₄×D₄	C₂²	semidirect
59. C₃²×#117	C₂²	semidirect
60. C₂×C₃×#217	C₂²	semidirect
61. C₃×#947	C₂²	semidirect
62. C₃×#944	C₂²	semidirect
63. C₃×#940	C₂²	semidirect
64. C₃×#940	C₂²	semidirect
65. C₃×#939	C₂²	semidirect
66. C₃×#939	C₂²	semidirect
67. C₃×#939	C₂²	semidirect
68. C₃×#939	C₂²	semidirect
69. C₃×#938	C₂²	semidirect
70. C₃×#937	C₂²	semidirect
71. C₃×#937	C₂²	semidirect
72. C₃×#936	C₂²	semidirect
73. C₃×D₄×Dic₃	C₂²	semidirect
76. C₃×C₄×#67	C₂²	semidirect
77. C₃×C₄×#67	C₂²	semidirect
78. C₃×C₄×#67	C₂²	semidirect
79. C₃×C₄×#67	C₂²	semidirect
80. C₃×C₄×#67	C₂²	semidirect
81. C₃×C₄×#67	C₂²	semidirect
82. C₃×C₄×#67	C₂²	semidirect
83. C₃×C₄×#67	C₂²	semidirect
84. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
85. C₂×C₃×Dic₃⋊C₄	C₂²	semidirect
86. C₂×C₃×C₄×Dic₃	C₂²	semidirect
87. C₃×#897	C₂²	semidirect
88. C₃×#897	C₂²	semidirect
89. C₃×#896	C₂²	semidirect
90. C₃×#896	C₂²	semidirect
91. C₃×#895	C₂²	semidirect
92. C₃×#895	C₂²	semidirect
93. C₃×#895	C₂²	semidirect
94. C₃×#894	C₂²	semidirect
95. C₃×#894	C₂²	semidirect
96. C₃×#893	C₂²	semidirect
97. C₃×#893	C₂²	semidirect
98. C₃×#893	C₂²	semidirect
99. C₃×D₃×C₄⋊C₄	C₂²	semidirect
100. C₃×#888	C₂²	semidirect
101. C₃×#887	C₂²	semidirect
102. C₃×#887	C₂²	semidirect
103. C₃×#886	C₂²	semidirect
104. C₃×#885	C₂²	semidirect
105. C₃×#885	C₂²	semidirect
106. C₃×#884	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×#882	C₂²	semidirect
113. C₃×#882	C₂²	semidirect
114. C₃×#882	C₂²	semidirect
116. C₃×#67⋊C₄	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×#878	C₂²	semidirect
122. C₃×#878	C₂²	semidirect
123. C₃×C₄×D₁₂	C₂²	semidirect
124. C₃×C₄×D₁₂	C₂²	semidirect
125. C₃×#872	C₂²	semidirect
126. C₃×C₄²×D₃	C₂²	semidirect
129. C₂×D₃×#41	C₂×C₃	semidirect
130. C₂²×#235	C₂×C₃	semidirect
149. C₃×#525	D₃	semidirect
150. C₃×#525	C₂×C₃	semidirect
154. #5832	C₂×C₃	semidirect
155. C₂×C₄×#67	C₂×C₃	semidirect
156. #5655	C₂×C₃	semidirect
157. #5654	C₂×C₃	semidirect
158. #5633	C₂×C₃	semidirect
159. #5632	C₂×C₃	semidirect
160. #5631	C₂×C₃	semidirect
161. #5630	C₂×C₃	semidirect
162. #5612	C₂×C₃	semidirect
163. #5609	C₂×C₃	semidirect
164. #5599	C₂×C₃	semidirect
165. #5598	C₂×C₃	semidirect
166. #5591	C₂×C₃	semidirect
167. #5590	C₂×C₃	semidirect
168. #5548	C₂×C₃	semidirect
169. #5547	C₂×C₃	semidirect
170. #5547	C₂×C₃	semidirect
171. C₄×D₃×D₄	C₂×C₃	semidirect
172. #5524	C₂×C₃	semidirect
173. #5522	C₂×C₃	semidirect
224. C₃×#235	D₄	semidirect
310. C₂×C₃×#41	C₂×D₃	semidirect
311. C₂×C₃×#41	C₂²×C₃	semidirect
324. C₂³×C₃×C₄	C₂×D₃	semidirect
325. C₂³×C₃×C₄	C₂²×C₃	semidirect
327. C₂²×#67	C₂²×C₃	semidirect
329. C₂×#239	C₂²×C₃	semidirect
330. C₂×D₃×Q₈	C₂²×C₃	semidirect
331. C₂×#237	C₂²×C₃	semidirect
332. C₂×#237	C₂²×C₃	semidirect
334. C₂×D₃×D₄	C₂²×C₃	semidirect
335. C₂×D₃×D₄	C₂²×C₃	semidirect
338. C₂×#235	C₂²×C₃	semidirect
339. C₂×#235	C₂²×C₃	semidirect
340. C₂×#235	C₂²×C₃	semidirect
341. C₂×#235	C₂²×C₃	semidirect
342. C₂×#235	C₂²×C₃	semidirect
343. C₂×#235	C₂²×C₃	semidirect
344. C₂²×D₁₂	C₂²×C₃	semidirect
345. C₂²×C₄×D₃	C₂²×C₃	semidirect
346. C₂²×C₄×D₃	C₂²×C₃	semidirect
347. C₂²×C₄×D₃	C₂²×C₃	semidirect
348. C₂²×Dic₆	C₂²×C₃	semidirect
363. C₃×#123	C₂×D₃	semidirect
364. C₃×#123	C₂²×C₃	semidirect
373. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
374. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
375. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
376. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
391. C₃×#121	C₂×D₃	semidirect
392. C₃×#121	C₂×D₃	semidirect
393. C₃×#121	C₂²×C₃	semidirect
394. C₃×#121	C₂²×C₃	semidirect
401. C₃×#120	C₂×D₃	semidirect
402. C₃×#120	C₂²×C₃	semidirect
427. C₃×C₄×D₄	C₂×D₃	semidirect
428. C₃×C₄×D₄	C₂×D₃	semidirect
429. C₃×C₄×D₄	C₂²×C₃	semidirect
430. C₃×C₄×D₄	C₂²×C₃	semidirect
433. C₃×#117	C₂×D₃	semidirect
434. C₃×#117	C₂²×C₃	semidirect
443. C₂×#217	C₂²×C₃	semidirect
444. #947	C₂²×C₃	semidirect
445. #944	C₂²×C₃	semidirect
446. #940	C₂²×C₃	semidirect
447. #940	C₂²×C₃	semidirect
448. #939	C₂²×C₃	semidirect
449. #939	C₂²×C₃	semidirect
450. #939	C₂²×C₃	semidirect
451. #939	C₂²×C₃	semidirect
452. #938	C₂²×C₃	semidirect
453. #937	C₂²×C₃	semidirect
454. #937	C₂²×C₃	semidirect
455. #936	C₂²×C₃	semidirect
456. D₄×Dic₃	C₂²×C₃	semidirect
459. C₄×#67	C₂²×C₃	semidirect
460. C₄×#67	C₂²×C₃	semidirect
461. C₄×#67	C₂²×C₃	semidirect
462. C₄×#67	C₂²×C₃	semidirect
463. C₄×#67	C₂²×C₃	semidirect
464. C₄×#67	C₂²×C₃	semidirect
465. C₄×#67	C₂²×C₃	semidirect
466. C₄×#67	C₂²×C₃	semidirect
467. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
468. C₂×Dic₃⋊C₄	C₂²×C₃	semidirect
469. C₂×C₄×Dic₃	C₂²×C₃	semidirect
470. #897	C₂²×C₃	semidirect
471. #897	C₂²×C₃	semidirect
472. #896	C₂²×C₃	semidirect
473. #896	C₂²×C₃	semidirect
474. #895	C₂²×C₃	semidirect
475. #895	C₂²×C₃	semidirect
476. #895	C₂²×C₃	semidirect
477. #894	C₂²×C₃	semidirect
478. #894	C₂²×C₃	semidirect
479. #893	C₂²×C₃	semidirect
480. #893	C₂²×C₃	semidirect
481. #893	C₂²×C₃	semidirect
482. D₃×C₄⋊C₄	C₂²×C₃	semidirect
483. #888	C₂²×C₃	semidirect
484. #887	C₂²×C₃	semidirect
485. #887	C₂²×C₃	semidirect
486. #886	C₂²×C₃	semidirect
487. #885	C₂²×C₃	semidirect
488. #885	C₂²×C₃	semidirect
489. #884	C₂²×C₃	semidirect
490. #884	C₂²×C₃	semidirect
491. #884	C₂²×C₃	semidirect
492. #884	C₂²×C₃	semidirect
493. #883	C₂²×C₃	semidirect
494. #883	C₂²×C₃	semidirect
495. #882	C₂²×C₃	semidirect
496. #882	C₂²×C₃	semidirect
497. #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. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
504. #878	C₂²×C₃	semidirect
505. #878	C₂²×C₃	semidirect
506. C₄×D₁₂	C₂²×C₃	semidirect
507. C₄×D₁₂	C₂²×C₃	semidirect
508. #872	C₂²×C₃	semidirect
509. C₄²×D₃	C₂²×C₃	semidirect
541. C₂×C₃²×C₄	C₂×D₄	semidirect
559. C₃×#67	C₂×D₄	semidirect
560. C₃×#67	#41	semidirect
579. C₃×D₁₂	C₂×D₄	semidirect
591. C₃×C₄×D₃	C₂×D₄	semidirect
595. C₃×Dic₆	C₂×D₄	semidirect
615. #525	C₃×D₃	semidirect
762. #235	C₃×D₄	semidirect
900. C₂²×C₃²	C₂×#41	semidirect
916. C₂×C₃×D₃	C₂×#41	semidirect
931. C₃×Dic₃	C₂×#41	semidirect
944. C₂×#41	C₂×C₃×D₃	semidirect
956. C₂³×C₄	C₂×C₃×D₃	semidirect
970. #123	C₂×C₃×D₃	semidirect
977. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
978. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
991. #121	C₂×C₃×D₃	semidirect
992. #121	C₂×C₃×D₃	semidirect
998. #120	C₂×C₃×D₃	semidirect
1021. C₄×D₄	C₂×C₃×D₃	semidirect
1022. C₄×D₄	C₂×C₃×D₃	semidirect
1024. #117	C₂×C₃×D₃	semidirect
1168. C₂×C₃×C₄	D₃×D₄	semidirect
1169. C₂×C₃×C₄	C₂×C₃×D₄	semidirect
1194. #67	C₂×C₃×D₄	semidirect
1195. #67	C₃×#41	semidirect
1214. D₁₂	C₂×C₃×D₄	semidirect
1226. C₄×D₃	C₂×C₃×D₄	semidirect
1230. Dic₆	C₂×C₃×D₄	semidirect
1416. C₂²×C₃	D₃×#41	semidirect
1418. C₂²×C₃	C₂×C₃×#41	semidirect
1435. C₂×D₃	C₂×C₃×#41	semidirect
1472. Dic₃	C₂×C₃×#41	semidirect
1473. C₃²	D₄×#41	semidirect
1552. C₂×C₄	C₃×D₃×D₄	semidirect
1616. C₂²	C₃×D₃×#41	semidirect
1634. C₃	#86037	direct (N × H)
1635. C₃	C₃×D₄×#41	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×D₃×#41	2
C₂²×C₃×#235	2
C₃²×#525	2
C₃×#5832	2
C₂×C₃×C₄×#67	2
C₃×#5655	2
C₃×#5654	2
C₃×#5633	2
C₃×#5632	2
C₃×#5631	2
C₃×#5630	2
C₃×#5612	2
C₃×#5609	2
C₃×#5599	2
C₃×#5598	2
C₃×#5591	2
C₃×#5590	2
C₃×#5548	2
C₃×#5547	2
C₃×C₄×D₃×D₄	2
C₃×#5524	2
C₃×#5522	2
C₃×D₄×#41	3
#86037	3

Subgroups — C3×#86037 #11902742

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86037 #11902742