Subgroups — C₃×#86459 #11910966

Order 1152.

2441 conjugacy classes of subgroups.

The subgroup lattice has 1347 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#539	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5711	C₂	1	2	yes	maximal, complemented
3	C₃×#5705	C₂	1	2	yes	maximal, complemented
4	C₃×#5697	C₂	1	2	yes	maximal, complemented
5	C₃×#5692	C₂	1	2	yes	maximal, complemented
6	C₃×#5657	C₂	1	2	yes	maximal, complemented
7	C₃×#5654	C₂	1	2	yes	maximal, complemented
8	C₃×#5654	C₂	1	2	yes	maximal, complemented
9	C₃×#5653	C₂	1	2	yes	maximal, complemented
10	C₃×#5647	C₂	1	2	yes	maximal, complemented
11	C₃×#5644	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#5630	C₂	1	2	yes	maximal, complemented
13	C₃×#5627	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#5605	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×D₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×D₄×D₁₂	C₂	1	2	yes	maximal, complemented
17	C₃×#5540	C₂	1	2	yes	maximal, complemented
18	C₃×#5510	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₃×#894	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#3534	—	3	1	no	maximal
21	#86459	C₃	1	1	yes	maximal, characteristic, direct product factor
22	C₂×C₃×#239	C₂²	1	1	yes	characteristic, complemented
23	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
24	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
25	C₂×C₃×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₃×#235	C₂²	1	2	yes	complemented
27	C₂²×C₃×D₁₂	C₂²	1	1	yes	characteristic
28	C₂²×C₃×D₁₂	C₂²	1	2	yes	complemented
29	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic, complemented
30	C₃²×#126	C₂²	1	2	yes	complemented
31	C₃²×#125	C₂²	1	2	yes	complemented
32	C₃²×#123	C₂²	1	2	yes	complemented
33	C₃²×#123	C₂²	1	2	yes	complemented
34	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
35	C₃²×C₂²⋊Q₈	C₂²	1	2	yes	complemented
36	C₃²×#121	C₂²	1	1	yes	characteristic
37	C₃²×C₄×D₄	C₂²	1	2	yes	complemented
38	C₂×C₃²×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
39	C₃×#947	C₂²	1	2	yes	complemented
40	C₃×#946	C₂²	1	1	yes	characteristic, complemented
41	C₃×#939	C₂²	1	2	yes	complemented
42	C₃×#939	C₂²	1	2	yes	complemented
43	C₃×#938	C₂²	1	1	yes	characteristic, complemented
44	C₃×#937	C₂²	1	2	yes	complemented
45	C₃×#930	C₂²	1	2	yes	complemented
46	C₃×#930	C₂²	1	1	yes	characteristic, complemented
47	C₃×#930	C₂²	1	1	yes	characteristic, complemented
48	C₃×#930	C₂²	1	2	yes	complemented
49	C₃×#929	C₂²	1	2	yes	complemented
50	C₃×C₄×#67	C₂²	1	2	yes	complemented
51	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
52	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₃×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
55	C₃×#898	C₂²	1	2	yes	complemented
56	C₃×#897	C₂²	1	2	yes	complemented
57	C₃×#897	C₂²	1	2	yes	complemented
58	C₃×#896	C₂²	1	2	yes	complemented
59	C₃×#896	C₂²	1	2	yes	complemented
60	C₃×#895	C₂²	1	2	yes	—
61	C₃×#895	C₂²	1	2	yes	complemented
62	C₃×#895	C₂²	1	2	yes	complemented
63	C₃×#895	C₂²	1	2	yes	complemented
64	C₃×#895	C₂²	1	1	yes	characteristic, complemented
65	C₃×#895	C₂²	1	1	yes	characteristic, complemented
66	C₃×#895	C₂²	1	2	yes	complemented
67	C₃×#895	C₂²	1	2	yes	complemented
68	C₃×#895	C₂²	1	2	yes	complemented
69	C₃×#894	C₂²	1	2	yes	complemented
70	C₃×#894	C₂²	1	2	yes	complemented
71	C₃×#894	C₂²	1	2	yes	complemented
72	C₃×#894	C₂²	1	2	yes	complemented
73	C₃×#894	C₂²	1	2	yes	complemented
74	C₃×#894	C₂²	1	2	yes	complemented
75	C₃×#894	C₂²	1	2	yes	complemented
76	C₃×#894	C₂²	1	2	yes	complemented
77	C₃×#894	C₂²	1	2	yes	complemented
78	C₃×#894	C₂²	1	2	yes	complemented
79	C₃×#893	C₂²	1	2	yes	complemented
80	C₃×#893	C₂²	1	2	yes	complemented
81	C₃×#893	C₂²	1	2	yes	complemented
82	C₃×#892	C₂²	1	1	yes	characteristic, complemented
83	C₃×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
84	C₃×#889	C₂²	1	2	yes	complemented
85	C₃×#885	C₂²	1	2	yes	complemented
86	C₃×#885	C₂²	1	2	yes	complemented
87	C₃×#884	C₂²	1	2	yes	complemented
88	C₃×#884	C₂²	1	2	yes	complemented
89	C₃×#884	C₂²	1	2	yes	complemented
90	C₃×#884	C₂²	1	2	yes	complemented
91	C₃×#883	C₂²	1	2	yes	complemented
92	C₃×#882	C₂²	1	2	yes	—
93	C₃×#882	C₂²	1	2	yes	complemented
94	C₃×#882	C₂²	1	2	yes	complemented
95	C₃×#882	C₂²	1	2	yes	complemented
96	C₃×#882	C₂²	1	2	yes	complemented
97	C₃×#882	C₂²	1	2	yes	complemented
98	C₃×#882	C₂²	1	2	yes	complemented
99	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
100	C₃×#67⋊C₄	C₂²	1	2	yes	complemented
101	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
102	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
103	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
104	C₃×#879	C₂²	1	2	yes	complemented
105	C₃×#876	C₂²	1	2	yes	complemented
106	C₃×#874	C₂²	1	2	yes	complemented
107	C₃×C₄×D₁₂	C₂²	1	2	yes	complemented
108	C₃×#872	C₂²	1	2	yes	complemented
109	C₃×#562	—	3	2	no	—
110	C₃×#560	—	3	2	no	—
111	C₃×#553	—	3	2	no	—
112	C₃×#551	—	3	2	no	—
113	C₃×#546	—	3	2	no	—
114	C₃×#546	—	3	2	no	—
115	C₃×#546	—	3	2	no	—
116	C₃×D₄²	—	3	2	no	—
117	C₃×#540	—	3	2	no	—
118	C₃×#539	—	2	1	no	—
119	C₃×#539	—	3	2	no	—
120	C₃×#539	D₃	1	1	yes	characteristic, complemented
121	C₃×#539	C₂×C₃	1	1	yes	characteristic, complemented
122	C₃×#538	—	3	2	no	—
123	C₃×#538	—	3	1	no	—
124	C₃×#537	—	3	1	no	—
125	C₃×#534	—	3	2	no	—
126	C₃×#534	—	3	1	no	—
127	C₃×#525	—	3	1	no	—
128	C₂×C₃×#123	—	3	1	no	—
129	C₂×C₃×#121	—	3	1	no	—
130	#5711	C₂×C₃	1	2	yes	complemented
131	#5705	C₂×C₃	1	2	yes	complemented
132	#5697	C₂×C₃	1	2	yes	complemented
133	#5692	C₂×C₃	1	2	yes	complemented
134	#5657	C₂×C₃	1	2	yes	complemented
135	#5654	C₂×C₃	1	2	yes	complemented
136	#5654	C₂×C₃	1	2	yes	complemented
137	#5653	C₂×C₃	1	2	yes	complemented
138	#5647	C₂×C₃	1	2	yes	complemented
139	#5644	C₂×C₃	1	1	yes	characteristic, complemented
140	#5630	C₂×C₃	1	2	yes	complemented
141	#5627	C₂×C₃	1	1	yes	characteristic, complemented
142	#5605	C₂×C₃	1	1	yes	characteristic, complemented
143	D₃×#121	C₂×C₃	1	1	yes	characteristic, complemented
144	D₄×D₁₂	C₂×C₃	1	2	yes	complemented
145	#5540	C₂×C₃	1	2	yes	complemented
146	#5510	C₂×C₃	1	1	yes	characteristic, complemented
147	C₂×#894	C₂×C₃	1	1	yes	characteristic, complemented
148	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
149	C₂³×C₃×D₃	C₂³	1	2	yes	—
150	C₂³×C₃×D₃	C₂³	1	1	yes	characteristic
151	C₂³×C₃×D₃	C₂³	1	2	yes	—
152	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
153	C₂×C₃²×D₄	C₂³	1	2	yes	—
154	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
155	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
156	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
157	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
158	C₂²×C₃²×C₄	C₂³	1	2	yes	—
159	C₂×C₃×#67	C₂³	1	2	yes	—
160	C₂×C₃×#67	C₂³	1	2	yes	—
161	C₂×C₃×#67	C₂³	1	2	yes	—
162	C₂×C₃×#67	C₂³	1	2	yes	—
163	C₂×C₃×#67	C₂³	1	2	yes	—
164	C₂×C₃×#67	C₂³	1	2	yes	—
165	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
166	C₂²×C₃×Dic₃	C₂³	1	1	yes	characteristic
167	C₃×#239	—	4	2	no	—
168	C₃×D₃×D₄	—	4	2	no	—
169	C₃×D₃×D₄	—	4	4	no	—
170	C₃×D₃×D₄	—	4	4	no	—
171	C₃×#235	—	4	4	no	—
172	C₂×C₃×D₁₂	—	4	2	no	—
173	C₂×C₃×D₁₂	—	4	4	no	—
174	C₂×C₃×D₁₂	C₂³	1	2	yes	—
175	C₂×C₃×D₁₂	C₂³	1	2	yes	—
176	C₂×C₃×D₁₂	C₂³	1	2	yes	—
177	C₂×C₃×D₁₂	C₂³	1	2	yes	—
178	C₂×C₃×D₁₂	C₂³	1	2	yes	—
179	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
180	C₂×C₃×D₁₂	C₂³	1	2	yes	—
181	C₂×C₃×D₁₂	C₂³	1	2	yes	—
182	C₂×C₃×D₁₂	C₂³	1	2	yes	—
183	C₂×C₃×D₁₂	C₂³	1	2	yes	—
184	C₂×C₃×D₁₂	C₂³	1	2	yes	—
185	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
186	C₂×C₃×C₄×D₃	—	4	2	no	—
187	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
188	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
189	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
190	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
191	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
192	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
193	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
194	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
195	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
196	C₂×C₃×C₄×D₃	C₂³	1	1	yes	characteristic
197	C₂×C₃×Dic₆	C₂³	1	2	yes	—
198	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
199	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
202	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
203	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
204	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
205	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
206	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
207	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
208	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
210	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
211	C₃²×C₄²	C₂³	1	2	yes	—
212	C₃×#217	C₂³	1	2	yes	—
213	C₃×#217	C₂³	1	2	yes	—
214	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
215	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
216	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
217	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
218	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
219	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
220	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
221	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
222	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
223	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
224	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
225	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
226	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
227	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
228	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
229	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
230	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
231	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
232	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
233	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
234	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
235	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
236	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
237	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
238	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
239	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
240	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
241	C₃×C₄×Dic₃	C₂³	1	2	yes	—
242	C₃×C₄×Dic₃	C₂³	1	2	yes	—
243	#3534	—	3	1	no	Sylow
244	C₂×C₃×#41	—	3	1	no	—
245	C₂×C₃×#41	—	3	2	no	—
246	C₂²×C₃×D₄	—	3	1	no	—
247	C₂²×C₃×D₄	—	3	2	no	—
248	C₂²×C₃×D₄	—	3	2	no	—
249	C₂²×C₃×D₄	—	3	1	no	—
250	C₂²×C₃×D₄	—	3	2	no	—
251	C₂³×C₃×C₄	—	3	1	no	—
252	C₂×#239	C₂²×C₃	1	1	yes	characteristic, complemented
253	C₂×D₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
254	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
255	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
256	C₂×#235	C₂²×C₃	1	2	yes	complemented
257	C₂²×D₁₂	C₂²×C₃	1	1	yes	characteristic
258	C₂²×D₁₂	C₂²×C₃	1	2	yes	complemented
259	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic, complemented
260	C₃×#127	—	3	2	no	—
261	C₃×#126	—	2	2	no	—
262	C₃×#126	—	3	2	no	—
263	C₃×#126	—	3	2	no	—
264	C₃×#126	—	3	2	no	—
265	C₃×#126	C₂×D₃	1	2	yes	complemented
266	C₃×#126	C₂²×C₃	1	2	yes	complemented
267	C₃×#125	—	2	2	no	—
268	C₃×#125	—	3	2	no	—
269	C₃×#125	C₂×D₃	1	2	yes	complemented
270	C₃×#125	C₂²×C₃	1	2	yes	complemented
271	C₃×#124	—	3	2	no	—
272	C₃×#124	—	3	2	no	—
273	C₃×#124	—	3	2	no	—
274	C₃×#123	—	2	2	no	—
275	C₃×#123	—	2	2	no	—
276	C₃×#123	—	3	2	no	—
277	C₃×#123	—	3	2	no	—
278	C₃×#123	—	3	2	no	—
279	C₃×#123	—	3	2	no	—
280	C₃×#123	—	3	2	no	—
281	C₃×#123	—	3	2	no	—
282	C₃×#123	—	3	2	no	—
283	C₃×#123	—	3	2	no	—
284	C₃×#123	—	3	2	no	—
285	C₃×#123	—	3	2	no	—
286	C₃×#123	—	3	2	no	—
287	C₃×#123	—	3	2	no	—
288	C₃×#123	C₂×D₃	1	2	yes	complemented
289	C₃×#123	C₂×D₃	1	2	yes	complemented
290	C₃×#123	C₂²×C₃	1	2	yes	complemented
291	C₃×#123	C₂²×C₃	1	2	yes	complemented
292	C₃×C₂²⋊Q₈	—	2	1	no	—
293	C₃×C₂²⋊Q₈	—	2	2	no	—
294	C₃×C₂²⋊Q₈	—	3	1	no	—
295	C₃×C₂²⋊Q₈	—	3	2	no	—
296	C₃×C₂²⋊Q₈	—	3	2	no	—
297	C₃×C₂²⋊Q₈	—	3	2	no	—
298	C₃×C₂²⋊Q₈	—	3	2	no	—
299	C₃×C₂²⋊Q₈	C₂×D₃	1	2	yes	complemented
300	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
301	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
302	C₃×C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
303	C₃×#121	—	2	1	no	—
304	C₃×#121	—	3	1	no	—
305	C₃×#121	—	3	2	no	—
306	C₃×#121	—	3	2	no	—
307	C₃×#121	—	3	2	no	—
308	C₃×#121	—	3	1	no	—
309	C₃×#121	—	3	1	no	—
310	C₃×#121	—	3	2	no	—
311	C₃×#121	—	3	1	no	—
312	C₃×#121	—	3	2	no	—
313	C₃×#121	—	3	2	no	—
314	C₃×#121	—	3	2	no	—
315	C₃×#121	—	3	2	no	—
316	C₃×#121	—	3	1	no	—
317	C₃×#121	—	3	2	no	—
318	C₃×#121	—	3	2	no	—
319	C₃×#121	—	3	2	no	—
320	C₃×#121	—	3	2	no	—
321	C₃×#121	—	3	2	no	—
322	C₃×#121	—	3	2	no	—
323	C₃×#121	—	3	2	no	—
324	C₃×#121	C₂×D₃	1	1	yes	characteristic
325	C₃×#121	C₂²×C₃	1	1	yes	characteristic
326	C₃×#120	—	3	2	no	—
327	C₃×#120	—	3	2	no	—
328	C₃×#120	—	3	2	no	—
329	C₃×#120	—	3	2	no	—
330	C₃×#120	—	3	2	no	—
331	C₃×#120	—	3	2	no	—
332	C₃×#120	—	3	2	no	—
333	C₃×#120	—	3	2	no	—
334	C₃×C₄×D₄	—	2	2	no	—
335	C₃×C₄×D₄	—	3	2	no	—
336	C₃×C₄×D₄	—	3	2	no	—
337	C₃×C₄×D₄	—	3	2	no	—
338	C₃×C₄×D₄	—	3	2	no	—
339	C₃×C₄×D₄	—	3	2	no	—
340	C₃×C₄×D₄	—	3	2	no	—
341	C₃×C₄×D₄	—	3	2	no	—
342	C₃×C₄×D₄	C₂×D₃	1	2	yes	complemented
343	C₃×C₄×D₄	C₂²×C₃	1	2	yes	complemented
344	C₃×#117	—	3	1	no	—
345	C₃×#117	—	3	2	no	—
346	C₂×C₃×C₄⋊C₄	—	2	1	no	—
347	C₂×C₃×C₄⋊C₄	—	3	1	no	—
348	C₂×C₃×C₄⋊C₄	—	3	1	no	—
349	C₂×C₃×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
350	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
351	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
352	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
353	C₂×C₃×C₂²⋊C₄	—	3	1	no	—
354	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
355	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
356	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
357	#947	C₂²×C₃	1	2	yes	complemented
358	#946	C₂²×C₃	1	1	yes	characteristic, complemented
359	#939	C₂²×C₃	1	2	yes	complemented
360	#939	C₂²×C₃	1	2	yes	complemented
361	#938	C₂²×C₃	1	1	yes	characteristic, complemented
362	#937	C₂²×C₃	1	2	yes	complemented
363	#930	C₂²×C₃	1	1	yes	characteristic, complemented
364	#930	C₂²×C₃	1	2	yes	complemented
365	#930	C₂²×C₃	1	2	yes	complemented
366	#930	C₂²×C₃	1	1	yes	characteristic, complemented
367	#929	C₂²×C₃	1	2	yes	complemented
368	C₄×#67	C₂²×C₃	1	2	yes	complemented
369	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
370	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
371	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
372	C₂×Dic₃⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
373	#898	C₂²×C₃	1	2	yes	complemented
374	#897	C₂²×C₃	1	2	yes	complemented
375	#897	C₂²×C₃	1	2	yes	complemented
376	#896	C₂²×C₃	1	2	yes	complemented
377	#896	C₂²×C₃	1	2	yes	complemented
378	#895	C₂²×C₃	1	2	yes	—
379	#895	C₂²×C₃	1	2	yes	complemented
380	#895	C₂²×C₃	1	2	yes	complemented
381	#895	C₂²×C₃	1	2	yes	complemented
382	#895	C₂²×C₃	1	2	yes	complemented
383	#895	C₂²×C₃	1	2	yes	complemented
384	#895	C₂²×C₃	1	1	yes	characteristic, complemented
385	#895	C₂²×C₃	1	1	yes	characteristic, complemented
386	#895	C₂²×C₃	1	2	yes	complemented
387	#894	C₂²×C₃	1	2	yes	complemented
388	#894	C₂²×C₃	1	2	yes	complemented
389	#894	C₂²×C₃	1	2	yes	complemented
390	#894	C₂²×C₃	1	2	yes	complemented
391	#894	C₂²×C₃	1	2	yes	complemented
392	#894	C₂²×C₃	1	2	yes	complemented
393	#894	C₂²×C₃	1	2	yes	complemented
394	#894	C₂²×C₃	1	2	yes	complemented
395	#894	C₂²×C₃	1	2	yes	complemented
396	#894	C₂²×C₃	1	2	yes	complemented
397	#893	C₂²×C₃	1	2	yes	complemented
398	#893	C₂²×C₃	1	2	yes	complemented
399	#893	C₂²×C₃	1	2	yes	complemented
400	#892	C₂²×C₃	1	1	yes	characteristic, complemented
401	D₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
402	#889	C₂²×C₃	1	2	yes	complemented
403	#885	C₂²×C₃	1	2	yes	complemented
404	#885	C₂²×C₃	1	2	yes	complemented
405	#884	C₂²×C₃	1	2	yes	complemented
406	#884	C₂²×C₃	1	2	yes	complemented
407	#884	C₂²×C₃	1	2	yes	complemented
408	#884	C₂²×C₃	1	2	yes	complemented
409	#883	C₂²×C₃	1	2	yes	complemented
410	#882	C₂²×C₃	1	2	yes	—
411	#882	C₂²×C₃	1	2	yes	complemented
412	#882	C₂²×C₃	1	2	yes	complemented
413	#882	C₂²×C₃	1	2	yes	complemented
414	#882	C₂²×C₃	1	2	yes	complemented
415	#882	C₂²×C₃	1	2	yes	complemented
416	#882	C₂²×C₃	1	2	yes	complemented
417	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
418	#67⋊C₄	C₂²×C₃	1	2	yes	complemented
419	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
420	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
421	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
422	#879	C₂²×C₃	1	2	yes	complemented
423	#876	C₂²×C₃	1	2	yes	complemented
424	#874	C₂²×C₃	1	2	yes	complemented
425	C₄×D₁₂	C₂²×C₃	1	2	yes	complemented
426	#872	C₂²×C₃	1	2	yes	complemented
427	C₂³×C₃²	C₂⁴	1	2	yes	—
428	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
429	C₂²×C₃×D₃	—	2	2	no	—
430	C₂²×C₃×D₃	—	2	2	no	—
431	C₂²×C₃×D₃	—	2	2	no	—
432	C₂²×C₃×D₃	—	2	4	no	—
433	C₂²×C₃×D₃	—	4	1	no	—
434	C₂²×C₃×D₃	—	4	2	no	—
435	C₂²×C₃×D₃	—	4	2	no	—
436	C₂²×C₃×D₃	—	4	1	no	—
437	C₂²×C₃×D₃	—	4	2	no	—
438	C₂²×C₃×D₃	—	4	1	no	—
439	C₂²×C₃×D₃	—	4	2	no	—
440	C₂²×C₃×D₃	—	4	2	no	—
441	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
442	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
443	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
444	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
445	C₂²×C₃×D₃	C₂⁴	1	1	yes	characteristic
446	C₃²×Q₈	—	4	1	no	—
447	C₃²×D₄	—	2	4	no	—
448	C₃²×D₄	—	4	1	no	—
449	C₂×C₃²×C₄	—	2	2	no	—
450	C₂×C₃²×C₄	—	4	1	no	—
451	C₂×C₃²×C₄	—	4	2	no	—
452	C₂×C₃²×C₄	—	4	1	no	—
453	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
454	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
455	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
456	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
457	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
458	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
459	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
460	C₃×#67	—	2	4	no	—
461	C₃×#67	—	2	4	no	—
462	C₃×#67	—	4	2	no	—
463	C₃×#67	—	4	2	no	—
464	C₃×#67	—	4	2	no	—
465	C₃×#67	—	4	2	no	—
466	C₂×C₃×Dic₃	—	4	1	no	—
467	C₂×C₃×Dic₃	—	4	1	no	—
468	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
469	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
470	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
471	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
472	C₂×C₃×Dic₃	C₂⁴	1	1	yes	characteristic
473	C₃×D₁₂	—	2	4	no	—
474	C₃×D₁₂	—	2	4	no	—
475	C₃×D₁₂	—	4	2	no	—
476	C₃×D₁₂	—	4	2	no	—
477	C₃×D₁₂	—	4	2	no	—
478	C₃×D₁₂	—	4	2	no	—
479	C₃×D₁₂	—	4	2	no	—
480	C₃×D₁₂	—	4	2	no	—
481	C₃×D₁₂	—	4	1	no	—
482	C₃×D₁₂	—	4	2	no	—
483	C₃×D₁₂	—	4	2	no	—
484	C₃×D₁₂	—	4	1	no	—
485	C₃×C₄×D₃	—	2	2	no	—
486	C₃×C₄×D₃	—	2	2	no	—
487	C₃×C₄×D₃	—	4	1	no	—
488	C₃×C₄×D₃	—	4	1	no	—
489	C₃×C₄×D₃	—	4	2	no	—
490	C₃×C₄×D₃	—	4	2	no	—
491	C₃×C₄×D₃	—	4	2	no	—
492	C₃×C₄×D₃	—	4	2	no	—
493	C₃×C₄×D₃	—	4	2	no	—
494	C₃×C₄×D₃	—	4	2	no	—
495	C₃×Dic₆	—	4	2	no	—
496	#562	—	3	2	no	—
497	#560	—	3	2	no	—
498	#553	—	3	2	no	—
499	#551	—	3	2	no	—
500	#546	—	3	2	no	—
501	#546	—	3	2	no	—
502	#546	—	3	2	no	—
503	D₄²	—	3	2	no	—
504	#540	—	3	2	no	—
505	#539	—	3	2	no	—
506	#539	C₃×D₃	1	1	yes	characteristic, complemented
507	#538	—	3	2	no	—
508	#538	—	3	1	no	—
509	#537	—	3	1	no	—
510	#534	—	3	2	no	—
511	#534	—	3	1	no	—
512	#525	—	3	1	no	—
513	C₂×#123	—	3	1	no	—
514	C₂×#121	—	3	1	no	—
515	C₂⁴×C₃	—	3	1	no	—
516	C₂⁴×C₃	—	3	2	no	—
517	C₂⁴×C₃	—	3	1	no	—
518	C₂⁴×C₃	—	3	2	no	—
519	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
520	C₂³×D₃	C₂³×C₃	1	2	yes	—
521	C₂³×D₃	C₂³×C₃	1	1	yes	characteristic
522	C₂³×D₃	C₂³×C₃	1	2	yes	—
523	C₃×#41	—	12	4	no	—
524	C₃×#41	—	12	2	no	—
525	C₂×C₃×Q₈	—	2	1	no	—
526	C₂×C₃×Q₈	—	3	2	no	—
527	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
528	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic
529	C₂×C₃×D₄	—	2	2	no	—
530	C₂×C₃×D₄	—	2	1	no	—
531	C₂×C₃×D₄	—	3	2	no	—
532	C₂×C₃×D₄	—	3	2	no	—
533	C₂×C₃×D₄	—	3	2	no	—
534	C₂×C₃×D₄	—	3	2	no	—
535	C₂×C₃×D₄	—	3	2	no	—
536	C₂×C₃×D₄	—	3	2	no	—
537	C₂×C₃×D₄	—	3	2	no	—
538	C₂×C₃×D₄	—	3	2	no	—
539	C₂×C₃×D₄	—	3	2	no	—
540	C₂×C₃×D₄	—	3	2	no	—
541	C₂×C₃×D₄	—	3	1	no	—
542	C₂×C₃×D₄	—	3	2	no	—
543	C₂×C₃×D₄	—	3	2	no	—
544	C₂×C₃×D₄	—	3	2	no	—
545	C₂×C₃×D₄	—	3	2	no	—
546	C₂×C₃×D₄	—	3	1	no	—
547	C₂×C₃×D₄	—	3	2	no	—
548	C₂×C₃×D₄	—	3	2	no	—
549	C₂×C₃×D₄	—	12	2	no	—
550	C₂×C₃×D₄	—	12	4	no	—
551	C₂×C₃×D₄	—	12	2	no	—
552	C₂×C₃×D₄	—	12	4	no	—
553	C₂×C₃×D₄	—	12	4	no	—
554	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
555	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
556	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
557	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
558	C₂²×C₃×C₄	—	2	1	no	—
559	C₂²×C₃×C₄	—	2	1	no	—
560	C₂²×C₃×C₄	—	2	1	no	—
561	C₂²×C₃×C₄	—	2	2	no	—
562	C₂²×C₃×C₄	—	3	1	no	—
563	C₂²×C₃×C₄	—	3	1	no	—
564	C₂²×C₃×C₄	—	3	1	no	—
565	C₂²×C₃×C₄	—	3	1	no	—
566	C₂²×C₃×C₄	—	3	2	no	—
567	C₂²×C₃×C₄	—	3	2	no	—
568	C₂²×C₃×C₄	—	3	2	no	—
569	C₂²×C₃×C₄	—	3	2	no	—
570	C₂²×C₃×C₄	—	3	2	no	—
571	C₂²×C₃×C₄	—	3	1	no	—
572	C₂²×C₃×C₄	—	3	2	no	—
573	C₂²×C₃×C₄	—	3	1	no	—
574	C₂²×C₃×C₄	—	12	2	no	—
575	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
576	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
577	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
578	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
579	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
580	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
581	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
582	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
583	C₂×#67	C₂³×C₃	1	2	yes	—
584	C₂×#67	C₂³×C₃	1	2	yes	—
585	C₂×#67	C₂³×C₃	1	2	yes	—
586	C₂×#67	C₂³×C₃	1	2	yes	—
587	C₂×#67	C₂³×C₃	1	2	yes	—
588	C₂×#67	C₂³×C₃	1	2	yes	—
589	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
590	C₂²×Dic₃	C₂³×C₃	1	1	yes	characteristic
591	#239	—	4	2	no	—
592	D₃×D₄	—	4	2	no	—
593	D₃×D₄	—	4	4	no	—
594	D₃×D₄	—	4	4	no	—
595	#235	—	4	4	no	—
596	C₂×D₁₂	—	4	2	no	—
597	C₂×D₁₂	—	4	4	no	—
598	C₂×D₁₂	C₂³×C₃	1	2	yes	—
599	C₂×D₁₂	C₂³×C₃	1	2	yes	—
600	C₂×D₁₂	C₂³×C₃	1	2	yes	—
601	C₂×D₁₂	C₂³×C₃	1	2	yes	—
602	C₂×D₁₂	C₂³×C₃	1	2	yes	—
603	C₂×D₁₂	C₂³×C₃	1	2	yes	—
604	C₂×D₁₂	C₂³×C₃	1	2	yes	—
605	C₂×D₁₂	C₂³×C₃	1	2	yes	—
606	C₂×D₁₂	C₂³×C₃	1	2	yes	—
607	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
608	C₂×D₁₂	C₂³×C₃	1	2	yes	—
609	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
610	C₂×C₄×D₃	—	4	2	no	—
611	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
612	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
613	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
614	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
615	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
616	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
617	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
618	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
619	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
620	C₂×C₄×D₃	C₂³×C₃	1	1	yes	characteristic
621	C₂×Dic₆	C₂³×C₃	1	2	yes	—
622	C₃×C₄⋊C₄	—	2	2	no	—
623	C₃×C₄⋊C₄	—	2	2	no	—
624	C₃×C₄⋊C₄	—	2	2	no	—
625	C₃×C₄⋊C₄	—	2	1	no	—
626	C₃×C₄⋊C₄	—	2	2	no	—
627	C₃×C₄⋊C₄	—	2	2	no	—
628	C₃×C₄⋊C₄	—	2	1	no	—
629	C₃×C₄⋊C₄	—	2	2	no	—
630	C₃×C₄⋊C₄	—	3	2	no	—
631	C₃×C₄⋊C₄	—	3	2	no	—
632	C₃×C₄⋊C₄	—	3	2	no	—
633	C₃×C₄⋊C₄	—	3	2	no	—
634	C₃×C₄⋊C₄	—	3	2	no	—
635	C₃×C₄⋊C₄	—	3	2	no	—
636	C₃×C₄⋊C₄	—	3	1	no	—
637	C₃×C₄⋊C₄	—	3	1	no	—
638	C₃×C₄⋊C₄	—	3	2	no	—
639	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
640	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
641	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
642	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
643	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
644	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
645	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
646	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
647	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
648	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
649	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
650	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
651	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
652	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
653	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
654	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
655	C₃×C₂²⋊C₄	—	2	2	no	—
656	C₃×C₂²⋊C₄	—	2	2	no	—
657	C₃×C₂²⋊C₄	—	2	2	no	—
658	C₃×C₂²⋊C₄	—	2	2	no	—
659	C₃×C₂²⋊C₄	—	2	2	no	—
660	C₃×C₂²⋊C₄	—	3	2	no	—
661	C₃×C₂²⋊C₄	—	3	2	no	—
662	C₃×C₂²⋊C₄	—	3	2	no	—
663	C₃×C₂²⋊C₄	—	3	2	no	—
664	C₃×C₂²⋊C₄	—	3	2	no	—
665	C₃×C₂²⋊C₄	—	3	2	no	—
666	C₃×C₂²⋊C₄	—	3	2	no	—
667	C₃×C₂²⋊C₄	—	3	2	no	—
668	C₃×C₂²⋊C₄	—	3	2	no	—
669	C₃×C₂²⋊C₄	—	3	2	no	—
670	C₃×C₂²⋊C₄	—	3	2	no	—
671	C₃×C₂²⋊C₄	—	3	2	no	—
672	C₃×C₂²⋊C₄	—	3	2	no	—
673	C₃×C₂²⋊C₄	—	3	2	no	—
674	C₃×C₂²⋊C₄	—	3	2	no	—
675	C₃×C₂²⋊C₄	—	3	2	no	—
676	C₃×C₂²⋊C₄	—	3	2	no	—
677	C₃×C₂²⋊C₄	—	3	2	no	—
678	C₃×C₂²⋊C₄	—	3	2	no	—
679	C₃×C₂²⋊C₄	—	3	2	no	—
680	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
681	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
682	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
683	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
684	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
685	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
686	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
687	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
688	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
689	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
690	C₃×C₄²	—	2	2	no	—
691	C₃×C₄²	—	3	2	no	—
692	C₃×C₄²	—	3	2	no	—
693	C₃×C₄²	C₂²×D₃	1	2	yes	—
694	C₃×C₄²	C₂³×C₃	1	2	yes	—
695	#217	C₂³×C₃	1	2	yes	—
696	#217	C₂³×C₃	1	2	yes	—
697	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
698	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
699	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
700	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
701	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
702	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
703	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
704	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
705	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
706	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
707	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
708	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
709	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
710	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
711	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
712	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
713	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
714	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
715	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
716	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
717	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
718	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
719	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
720	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
721	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
722	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
723	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
724	C₄×Dic₃	C₂³×C₃	1	2	yes	—
725	C₄×Dic₃	C₂³×C₃	1	2	yes	—
726	C₂²×C₃²	—	2	1	no	—
727	C₂²×C₃²	—	2	1	no	—
728	C₂²×C₃²	—	2	2	no	—
729	C₂²×C₃²	—	2	2	no	—
730	C₂²×C₃²	—	2	2	no	—
731	C₂²×C₃²	H(5,𝔽₂)	1	2	yes	—
732	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
733	C₂×C₃×D₃	—	2	1	no	—
734	C₂×C₃×D₃	—	2	1	no	—
735	C₂×C₃×D₃	—	2	1	no	—
736	C₂×C₃×D₃	—	2	2	no	—
737	C₂×C₃×D₃	—	2	2	no	—
738	C₂×C₃×D₃	—	2	2	no	—
739	C₂×C₃×D₃	—	2	2	no	—
740	C₂×C₃×D₃	—	2	2	no	—
741	C₂×C₃×D₃	—	2	2	no	—
742	C₂×C₃×D₃	—	2	1	no	—
743	C₂×C₃×D₃	—	2	2	no	—
744	C₂×C₃×D₃	—	2	1	no	—
745	C₂×C₃×D₃	—	2	2	no	—
746	C₂×C₃×D₃	—	2	2	no	—
747	C₂×C₃×D₃	—	4	4	no	—
748	C₂×C₃×D₃	—	8	4	no	—
749	C₂×C₃×D₃	—	8	2	no	—
750	C₂×C₃×D₃	—	8	4	no	—
751	C₂×C₃×D₃	H(5,𝔽₂)	1	2	yes	—
752	C₃²×C₄	—	2	2	no	—
753	C₃²×C₄	—	2	1	no	—
754	C₃²×C₄	—	2	1	no	—
755	C₃²×C₄	—	2	2	no	—
756	C₃²×C₄	—	2	2	no	—
757	C₃²×C₄	—	2	2	no	—
758	C₃²×C₄	—	2	2	no	—
759	C₃×Dic₃	—	2	2	no	—
760	C₃×Dic₃	—	2	2	no	—
761	C₃×Dic₃	—	2	1	no	—
762	C₃×Dic₃	—	2	1	no	—
763	C₃×Dic₃	—	2	2	no	—
764	C₂×#41	—	3	1	no	—
765	C₂×#41	—	3	2	no	—
766	C₂²×D₄	—	3	1	no	—
767	C₂²×D₄	—	3	2	no	—
768	C₂²×D₄	—	3	2	no	—
769	C₂²×D₄	—	3	1	no	—
770	C₂²×D₄	—	3	2	no	—
771	C₂³×C₄	—	3	1	no	—
772	#127	—	3	2	no	—
773	#126	—	3	2	no	—
774	#126	—	3	2	no	—
775	#126	—	3	2	no	—
776	#126	C₂×C₃×D₃	1	2	yes	complemented
777	#125	—	3	2	no	—
778	#125	C₂×C₃×D₃	1	2	yes	complemented
779	#124	—	3	2	no	—
780	#124	—	3	2	no	—
781	#124	—	3	2	no	—
782	#123	—	3	2	no	—
783	#123	—	3	2	no	—
784	#123	—	3	2	no	—
785	#123	—	3	2	no	—
786	#123	—	3	2	no	—
787	#123	—	3	2	no	—
788	#123	—	3	2	no	—
789	#123	—	3	2	no	—
790	#123	—	3	2	no	—
791	#123	—	3	2	no	—
792	#123	—	3	2	no	—
793	#123	—	3	2	no	—
794	#123	C₂×C₃×D₃	1	2	yes	complemented
795	#123	C₂×C₃×D₃	1	2	yes	complemented
796	C₂²⋊Q₈	—	3	1	no	—
797	C₂²⋊Q₈	—	3	2	no	—
798	C₂²⋊Q₈	—	3	2	no	—
799	C₂²⋊Q₈	—	3	2	no	—
800	C₂²⋊Q₈	—	3	2	no	—
801	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
802	C₂²⋊Q₈	C₂×C₃×D₃	1	2	yes	complemented
803	#121	—	3	1	no	—
804	#121	—	3	2	no	—
805	#121	—	3	2	no	—
806	#121	—	3	1	no	—
807	#121	—	3	1	no	—
808	#121	—	3	2	no	—
809	#121	—	3	2	no	—
810	#121	—	3	1	no	—
811	#121	—	3	1	no	—
812	#121	—	3	2	no	—
813	#121	—	3	2	no	—
814	#121	—	3	2	no	—
815	#121	—	3	2	no	—
816	#121	—	3	2	no	—
817	#121	—	3	2	no	—
818	#121	—	3	2	no	—
819	#121	—	3	2	no	—
820	#121	—	3	2	no	—
821	#121	—	3	2	no	—
822	#121	—	3	2	no	—
823	#121	C₂×C₃×D₃	1	1	yes	characteristic
824	#120	—	3	2	no	—
825	#120	—	3	2	no	—
826	#120	—	3	2	no	—
827	#120	—	3	2	no	—
828	#120	—	3	2	no	—
829	#120	—	3	2	no	—
830	#120	—	3	2	no	—
831	#120	—	3	2	no	—
832	C₄×D₄	—	3	2	no	—
833	C₄×D₄	—	3	2	no	—
834	C₄×D₄	—	3	2	no	—
835	C₄×D₄	—	3	2	no	—
836	C₄×D₄	—	3	2	no	—
837	C₄×D₄	—	3	2	no	—
838	C₄×D₄	—	3	2	no	—
839	C₄×D₄	C₂×C₃×D₃	1	2	yes	complemented
840	#117	—	3	1	no	—
841	#117	—	3	2	no	—
842	C₂×C₄⋊C₄	—	3	1	no	—
843	C₂×C₄⋊C₄	—	3	1	no	—
844	C₂×C₄⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
845	C₂×C₂²⋊C₄	—	3	1	no	—
846	C₂×C₂²⋊C₄	—	3	1	no	—
847	C₂×C₂²⋊C₄	—	3	1	no	—
848	C₂×C₂²⋊C₄	—	3	2	no	—
849	C₂×C₂²⋊C₄	—	3	2	no	—
850	C₂×C₂²⋊C₄	—	3	2	no	—
851	C₂³×C₃	—	2	1	no	—
852	C₂³×C₃	—	2	2	no	—
853	C₂³×C₃	—	3	1	no	—
854	C₂³×C₃	—	3	2	no	—
855	C₂³×C₃	—	3	2	no	—
856	C₂³×C₃	—	3	2	no	—
857	C₂³×C₃	—	3	1	no	—
858	C₂³×C₃	—	6	2	no	—
859	C₂³×C₃	—	6	4	no	—
860	C₂³×C₃	—	6	2	no	—
861	C₂³×C₃	—	6	2	no	—
862	C₂³×C₃	—	12	1	no	—
863	C₂³×C₃	—	12	1	no	—
864	C₂³×C₃	—	12	2	no	—
865	C₂³×C₃	—	12	2	no	—
866	C₂³×C₃	—	12	2	no	—
867	C₂³×C₃	—	12	1	no	—
868	C₂³×C₃	—	12	2	no	—
869	C₂³×C₃	—	12	2	no	—
870	C₂³×C₃	C₂³×D₃	1	2	yes	—
871	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
872	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
873	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
874	C₂²×D₃	—	2	2	no	—
875	C₂²×D₃	—	2	2	no	—
876	C₂²×D₃	—	2	2	no	—
877	C₂²×D₃	—	2	4	no	—
878	C₂²×D₃	—	4	1	no	—
879	C₂²×D₃	—	4	2	no	—
880	C₂²×D₃	—	4	1	no	—
881	C₂²×D₃	—	4	2	no	—
882	C₂²×D₃	—	4	2	no	—
883	C₂²×D₃	—	4	2	no	—
884	C₂²×D₃	—	4	2	no	—
885	C₂²×D₃	—	4	1	no	—
886	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
887	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
888	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
889	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
890	C₂²×D₃	C₂⁴×C₃	1	1	yes	characteristic
891	C₃×Q₈	—	4	1	no	—
892	C₃×Q₈	—	4	1	no	—
893	C₃×Q₈	—	8	1	no	—
894	C₃×Q₈	—	12	2	no	—
895	C₃×D₄	—	2	4	no	—
896	C₃×D₄	—	2	4	no	—
897	C₃×D₄	—	4	4	no	—
898	C₃×D₄	—	4	1	no	—
899	C₃×D₄	—	4	1	no	—
900	C₃×D₄	—	6	4	no	—
901	C₃×D₄	—	6	4	no	—
902	C₃×D₄	—	6	4	no	—
903	C₃×D₄	—	6	4	no	—
904	C₃×D₄	—	8	1	no	—
905	C₃×D₄	—	12	2	no	—
906	C₃×D₄	—	12	2	no	—
907	C₃×D₄	—	12	2	no	—
908	C₃×D₄	—	12	2	no	—
909	C₃×D₄	—	12	2	no	—
910	C₃×D₄	—	12	2	no	—
911	C₃×D₄	—	12	1	no	—
912	C₃×D₄	—	12	2	no	—
913	C₃×D₄	—	12	2	no	—
914	C₃×D₄	—	12	1	no	—
915	C₃×D₄	—	12	2	no	—
916	C₃×D₄	—	12	2	no	—
917	C₃×D₄	—	12	2	no	—
918	C₃×D₄	—	12	2	no	—
919	C₂×C₃×C₄	—	2	2	no	—
920	C₂×C₃×C₄	—	2	2	no	—
921	C₂×C₃×C₄	—	2	2	no	—
922	C₂×C₃×C₄	—	2	2	no	—
923	C₂×C₃×C₄	—	2	2	no	—
924	C₂×C₃×C₄	—	2	2	no	—
925	C₂×C₃×C₄	—	2	2	no	—
926	C₂×C₃×C₄	—	2	1	no	—
927	C₂×C₃×C₄	—	2	1	no	—
928	C₂×C₃×C₄	—	3	1	no	—
929	C₂×C₃×C₄	—	3	2	no	—
930	C₂×C₃×C₄	—	3	2	no	—
931	C₂×C₃×C₄	—	3	2	no	—
932	C₂×C₃×C₄	—	3	1	no	—
933	C₂×C₃×C₄	—	4	2	no	—
934	C₂×C₃×C₄	—	4	1	no	—
935	C₂×C₃×C₄	—	4	2	no	—
936	C₂×C₃×C₄	—	4	1	no	—
937	C₂×C₃×C₄	—	4	1	no	—
938	C₂×C₃×C₄	—	4	1	no	—
939	C₂×C₃×C₄	—	4	2	no	—
940	C₂×C₃×C₄	—	6	2	no	—
941	C₂×C₃×C₄	—	6	2	no	—
942	C₂×C₃×C₄	—	8	1	no	—
943	C₂×C₃×C₄	—	8	1	no	—
944	C₂×C₃×C₄	—	8	2	no	—
945	C₂×C₃×C₄	—	12	2	no	—
946	C₂×C₃×C₄	—	12	1	no	—
947	C₂×C₃×C₄	—	12	1	no	—
948	C₂×C₃×C₄	—	12	2	no	—
949	C₂×C₃×C₄	—	12	2	no	—
950	C₂×C₃×C₄	—	12	2	no	—
951	C₂×C₃×C₄	—	12	2	no	—
952	C₂×C₃×C₄	—	12	2	no	—
953	C₂×C₃×C₄	—	12	1	no	—
954	C₂×C₃×C₄	—	12	1	no	—
955	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
956	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
957	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
958	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
959	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
960	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
961	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
962	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
963	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
964	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
965	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
966	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
967	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
968	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
969	#67	—	2	4	no	—
970	#67	—	2	4	no	—
971	#67	—	4	2	no	—
972	#67	—	4	2	no	—
973	#67	—	4	2	no	—
974	#67	—	4	2	no	—
975	C₂×Dic₃	—	4	1	no	—
976	C₂×Dic₃	—	4	1	no	—
977	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
978	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
979	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
980	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
981	C₂×Dic₃	C₂⁴×C₃	1	1	yes	characteristic
982	D₁₂	—	2	4	no	—
983	D₁₂	—	2	4	no	—
984	D₁₂	—	4	2	no	—
985	D₁₂	—	4	2	no	—
986	D₁₂	—	4	2	no	—
987	D₁₂	—	4	2	no	—
988	D₁₂	—	4	2	no	—
989	D₁₂	—	4	2	no	—
990	D₁₂	—	4	1	no	—
991	D₁₂	—	4	2	no	—
992	D₁₂	—	4	2	no	—
993	D₁₂	—	4	1	no	—
994	C₄×D₃	—	2	2	no	—
995	C₄×D₃	—	2	2	no	—
996	C₄×D₃	—	4	1	no	—
997	C₄×D₃	—	4	1	no	—
998	C₄×D₃	—	4	2	no	—
999	C₄×D₃	—	4	2	no	—
1000	C₄×D₃	—	4	2	no	—
1001	C₄×D₃	—	4	2	no	—
1002	C₄×D₃	—	4	2	no	—
1003	C₄×D₃	—	4	2	no	—
1004	Dic₆	—	4	2	no	—
1005	C₂×C₃²	—	2	2	no	—
1006	C₂×C₃²	—	4	2	no	—
1007	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1008	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1009	C₂×C₃²	#585	1	1	yes	characteristic
1010	C₃×D₃	—	2	2	no	—
1011	C₃×D₃	—	4	1	no	—
1012	C₃×D₃	—	4	2	no	—
1013	C₃×D₃	—	4	2	no	—
1014	C₃×D₃	—	4	2	no	—
1015	C₂⁴	—	3	1	no	—
1016	C₂⁴	—	3	2	no	—
1017	C₂⁴	—	3	1	no	—
1018	C₂⁴	—	3	2	no	—
1019	#41	—	12	4	no	—
1020	#41	—	12	2	no	—
1021	C₂×Q₈	—	3	2	no	—
1022	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
1023	C₂×D₄	—	3	2	no	—
1024	C₂×D₄	—	3	2	no	—
1025	C₂×D₄	—	3	2	no	—
1026	C₂×D₄	—	3	2	no	—
1027	C₂×D₄	—	3	2	no	—
1028	C₂×D₄	—	3	2	no	—
1029	C₂×D₄	—	3	2	no	—
1030	C₂×D₄	—	3	2	no	—
1031	C₂×D₄	—	3	2	no	—
1032	C₂×D₄	—	3	2	no	—
1033	C₂×D₄	—	3	1	no	—
1034	C₂×D₄	—	3	2	no	—
1035	C₂×D₄	—	3	2	no	—
1036	C₂×D₄	—	3	2	no	—
1037	C₂×D₄	—	3	2	no	—
1038	C₂×D₄	—	3	1	no	—
1039	C₂×D₄	—	3	2	no	—
1040	C₂×D₄	—	3	2	no	—
1041	C₂×D₄	—	12	2	no	—
1042	C₂×D₄	—	12	4	no	—
1043	C₂×D₄	—	12	2	no	—
1044	C₂×D₄	—	12	4	no	—
1045	C₂×D₄	—	12	4	no	—
1046	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
1047	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
1048	C₂²×C₄	—	3	1	no	—
1049	C₂²×C₄	—	3	1	no	—
1050	C₂²×C₄	—	3	1	no	—
1051	C₂²×C₄	—	3	1	no	—
1052	C₂²×C₄	—	3	2	no	—
1053	C₂²×C₄	—	3	2	no	—
1054	C₂²×C₄	—	3	2	no	—
1055	C₂²×C₄	—	3	2	no	—
1056	C₂²×C₄	—	3	2	no	—
1057	C₂²×C₄	—	3	1	no	—
1058	C₂²×C₄	—	3	2	no	—
1059	C₂²×C₄	—	3	1	no	—
1060	C₂²×C₄	—	12	2	no	—
1061	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1062	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1063	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1064	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
1065	C₄⋊C₄	—	3	2	no	—
1066	C₄⋊C₄	—	3	1	no	—
1067	C₄⋊C₄	—	3	2	no	—
1068	C₄⋊C₄	—	3	2	no	—
1069	C₄⋊C₄	—	3	1	no	—
1070	C₄⋊C₄	—	3	2	no	—
1071	C₄⋊C₄	—	3	2	no	—
1072	C₄⋊C₄	—	3	2	no	—
1073	C₄⋊C₄	—	3	2	no	—
1074	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1075	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1076	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1077	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
1078	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1079	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1080	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1081	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1082	C₂²⋊C₄	—	3	2	no	—
1083	C₂²⋊C₄	—	3	2	no	—
1084	C₂²⋊C₄	—	3	2	no	—
1085	C₂²⋊C₄	—	3	2	no	—
1086	C₂²⋊C₄	—	3	2	no	—
1087	C₂²⋊C₄	—	3	2	no	—
1088	C₂²⋊C₄	—	3	2	no	—
1089	C₂²⋊C₄	—	3	2	no	—
1090	C₂²⋊C₄	—	3	2	no	—
1091	C₂²⋊C₄	—	3	2	no	—
1092	C₂²⋊C₄	—	3	2	no	—
1093	C₂²⋊C₄	—	3	2	no	—
1094	C₂²⋊C₄	—	3	2	no	—
1095	C₂²⋊C₄	—	3	2	no	—
1096	C₂²⋊C₄	—	3	2	no	—
1097	C₂²⋊C₄	—	3	2	no	—
1098	C₂²⋊C₄	—	3	2	no	—
1099	C₂²⋊C₄	—	3	2	no	—
1100	C₂²⋊C₄	—	3	2	no	—
1101	C₂²⋊C₄	—	3	2	no	—
1102	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1103	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1104	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1105	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1106	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
1107	C₄²	—	3	2	no	—
1108	C₄²	—	3	2	no	—
1109	C₄²	C₂²×C₃×D₃	1	2	yes	—
1110	C₂²×C₃	—	2	1	no	—
1111	C₂²×C₃	—	2	1	no	—
1112	C₂²×C₃	—	2	1	no	—
1113	C₂²×C₃	—	2	1	no	—
1114	C₂²×C₃	—	2	2	no	—
1115	C₂²×C₃	—	2	2	no	—
1116	C₂²×C₃	—	2	2	no	—
1117	C₂²×C₃	—	2	2	no	—
1118	C₂²×C₃	—	2	2	no	—
1119	C₂²×C₃	—	2	2	no	—
1120	C₂²×C₃	—	2	2	no	—
1121	C₂²×C₃	—	2	1	no	—
1122	C₂²×C₃	—	3	2	no	—
1123	C₂²×C₃	—	4	1	no	—
1124	C₂²×C₃	—	4	1	no	—
1125	C₂²×C₃	—	4	2	no	—
1126	C₂²×C₃	—	4	2	no	—
1127	C₂²×C₃	—	4	2	no	—
1128	C₂²×C₃	—	6	1	no	—
1129	C₂²×C₃	—	6	1	no	—
1130	C₂²×C₃	—	6	2	no	—
1131	C₂²×C₃	—	6	2	no	—
1132	C₂²×C₃	—	6	2	no	—
1133	C₂²×C₃	—	6	1	no	—
1134	C₂²×C₃	—	6	1	no	—
1135	C₂²×C₃	—	6	2	no	—
1136	C₂²×C₃	—	6	2	no	—
1137	C₂²×C₃	—	6	2	no	—
1138	C₂²×C₃	—	6	2	no	—
1139	C₂²×C₃	—	6	1	no	—
1140	C₂²×C₃	—	6	2	no	—
1141	C₂²×C₃	—	6	2	no	—
1142	C₂²×C₃	—	12	4	no	—
1143	C₂²×C₃	—	24	2	no	—
1144	C₂²×C₃	—	24	4	no	—
1145	C₂²×C₃	—	24	4	no	—
1146	C₂²×C₃	#1009	1	2	yes	—
1147	C₂²×C₃	C₃×H(5,𝔽₂)	1	2	yes	—
1148	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1149	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1150	C₂×D₃	—	2	1	no	—
1151	C₂×D₃	—	2	1	no	—
1152	C₂×D₃	—	2	1	no	—
1153	C₂×D₃	—	2	2	no	—
1154	C₂×D₃	—	2	2	no	—
1155	C₂×D₃	—	2	2	no	—
1156	C₂×D₃	—	2	2	no	—
1157	C₂×D₃	—	2	2	no	—
1158	C₂×D₃	—	2	2	no	—
1159	C₂×D₃	—	2	1	no	—
1160	C₂×D₃	—	2	2	no	—
1161	C₂×D₃	—	2	1	no	—
1162	C₂×D₃	—	2	2	no	—
1163	C₂×D₃	—	2	2	no	—
1164	C₂×D₃	—	4	4	no	—
1165	C₂×D₃	—	8	4	no	—
1166	C₂×D₃	—	8	2	no	—
1167	C₂×D₃	—	8	4	no	—
1168	C₂×D₃	C₃×H(5,𝔽₂)	1	2	yes	—
1169	C₃×C₄	—	2	2	no	—
1170	C₃×C₄	—	2	2	no	—
1171	C₃×C₄	—	2	2	no	—
1172	C₃×C₄	—	2	1	no	—
1173	C₃×C₄	—	2	1	no	—
1174	C₃×C₄	—	2	2	no	—
1175	C₃×C₄	—	2	2	no	—
1176	C₃×C₄	—	2	2	no	—
1177	C₃×C₄	—	2	1	no	—
1178	C₃×C₄	—	2	1	no	—
1179	C₃×C₄	—	2	2	no	—
1180	C₃×C₄	—	2	2	no	—
1181	C₃×C₄	—	2	2	no	—
1182	C₃×C₄	—	2	2	no	—
1183	C₃×C₄	—	4	2	no	—
1184	C₃×C₄	—	4	2	no	—
1185	C₃×C₄	—	4	1	no	—
1186	C₃×C₄	—	4	1	no	—
1187	C₃×C₄	—	4	2	no	—
1188	C₃×C₄	—	4	2	no	—
1189	C₃×C₄	—	4	2	no	—
1190	C₃×C₄	—	6	2	no	—
1191	C₃×C₄	—	6	2	no	—
1192	C₃×C₄	—	6	1	no	—
1193	C₃×C₄	—	6	1	no	—
1194	C₃×C₄	—	6	2	no	—
1195	Dic₃	—	2	2	no	—
1196	Dic₃	—	2	2	no	—
1197	Dic₃	—	2	1	no	—
1198	Dic₃	—	2	1	no	—
1199	Dic₃	—	2	2	no	—
1200	C₃²	#3534	1	1	yes	characteristic, complemented, Sylow
1201	C₂³	—	3	1	no	—
1202	C₂³	—	3	2	no	—
1203	C₂³	—	3	2	no	—
1204	C₂³	—	3	2	no	—
1205	C₂³	—	3	1	no	—
1206	C₂³	—	6	2	no	—
1207	C₂³	—	6	4	no	—
1208	C₂³	—	6	2	no	—
1209	C₂³	—	6	2	no	—
1210	C₂³	—	12	1	no	—
1211	C₂³	—	12	1	no	—
1212	C₂³	—	12	2	no	—
1213	C₂³	—	12	2	no	—
1214	C₂³	—	12	2	no	—
1215	C₂³	—	12	1	no	—
1216	C₂³	—	12	2	no	—
1217	C₂³	—	12	2	no	—
1218	C₂³	C₂³×C₃×D₃	1	2	yes	—
1219	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1220	Q₈	—	4	1	no	—
1221	Q₈	—	12	2	no	—
1222	D₄	—	2	4	no	—
1223	D₄	—	4	1	no	—
1224	D₄	—	6	4	no	—
1225	D₄	—	6	4	no	—
1226	D₄	—	6	4	no	—
1227	D₄	—	6	4	no	—
1228	D₄	—	12	2	no	—
1229	D₄	—	12	2	no	—
1230	D₄	—	12	2	no	—
1231	D₄	—	12	2	no	—
1232	D₄	—	12	1	no	—
1233	D₄	—	12	2	no	—
1234	D₄	—	12	2	no	—
1235	D₄	—	12	1	no	—
1236	D₄	—	12	2	no	—
1237	D₄	—	12	2	no	—
1238	D₄	—	12	2	no	—
1239	D₄	—	12	2	no	—
1240	D₄	—	12	2	no	—
1241	D₄	—	12	2	no	—
1242	C₂×C₄	—	2	2	no	—
1243	C₂×C₄	—	3	1	no	—
1244	C₂×C₄	—	3	2	no	—
1245	C₂×C₄	—	3	2	no	—
1246	C₂×C₄	—	3	2	no	—
1247	C₂×C₄	—	3	1	no	—
1248	C₂×C₄	—	4	1	no	—
1249	C₂×C₄	—	4	1	no	—
1250	C₂×C₄	—	4	2	no	—
1251	C₂×C₄	—	6	2	no	—
1252	C₂×C₄	—	6	2	no	—
1253	C₂×C₄	—	12	1	no	—
1254	C₂×C₄	—	12	1	no	—
1255	C₂×C₄	—	12	2	no	—
1256	C₂×C₄	—	12	2	no	—
1257	C₂×C₄	—	12	2	no	—
1258	C₂×C₄	—	12	2	no	—
1259	C₂×C₄	—	12	2	no	—
1260	C₂×C₄	—	12	2	no	—
1261	C₂×C₄	—	12	1	no	—
1262	C₂×C₄	—	12	1	no	—
1263	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1264	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1265	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1266	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1267	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1268	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1269	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1270	C₂×C₃	—	2	2	no	—
1271	C₂×C₃	—	2	2	no	—
1272	C₂×C₃	—	2	1	no	—
1273	C₂×C₃	—	2	1	no	—
1274	C₂×C₃	—	2	1	no	—
1275	C₂×C₃	—	4	2	no	—
1276	C₂×C₃	—	4	2	no	—
1277	C₂×C₃	—	4	2	no	—
1278	C₂×C₃	—	6	2	no	—
1279	C₂×C₃	—	8	2	no	—
1280	C₂×C₃	—	12	1	no	—
1281	C₂×C₃	—	12	2	no	—
1282	C₂×C₃	—	12	2	no	—
1283	C₂×C₃	—	12	2	no	—
1284	C₂×C₃	C₂×#1009	1	1	yes	characteristic
1285	C₂×C₃	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1286	C₂×C₃	#5968	1	1	yes	characteristic
1287	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1288	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1289	C₂×C₃	C₃×#585	1	1	yes	characteristic
1290	D₃	—	2	2	no	—
1291	D₃	—	4	1	no	—
1292	D₃	—	4	2	no	—
1293	D₃	—	4	2	no	—
1294	D₃	—	4	2	no	—
1295	C₂²	—	2	1	no	—
1296	C₂²	—	2	1	no	—
1297	C₂²	—	2	2	no	—
1298	C₂²	—	2	2	no	—
1299	C₂²	—	2	2	no	—
1300	C₂²	—	3	2	no	—
1301	C₂²	—	6	1	no	—
1302	C₂²	—	6	1	no	—
1303	C₂²	—	6	2	no	—
1304	C₂²	—	6	2	no	—
1305	C₂²	—	6	2	no	—
1306	C₂²	—	6	1	no	—
1307	C₂²	—	6	1	no	—
1308	C₂²	—	6	2	no	—
1309	C₂²	—	6	2	no	—
1310	C₂²	—	6	2	no	—
1311	C₂²	—	6	2	no	—
1312	C₂²	—	6	1	no	—
1313	C₂²	—	6	2	no	—
1314	C₂²	—	6	2	no	—
1315	C₂²	—	12	4	no	—
1316	C₂²	—	24	2	no	—
1317	C₂²	—	24	4	no	—
1318	C₂²	—	24	4	no	—
1319	C₂²	C₃×#1009	1	2	yes	—
1320	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1321	C₄	—	2	2	no	—
1322	C₄	—	2	2	no	—
1323	C₄	—	2	2	no	—
1324	C₄	—	2	1	no	—
1325	C₄	—	2	1	no	—
1326	C₄	—	2	2	no	—
1327	C₄	—	2	2	no	—
1328	C₄	—	6	2	no	—
1329	C₄	—	6	2	no	—
1330	C₄	—	6	1	no	—
1331	C₄	—	6	1	no	—
1332	C₄	—	6	2	no	—
1333	C₃	—	2	1	no	—
1334	C₃	#86459	1	1	yes	characteristic, direct product factor
1335	C₃	C₃×#3534	1	1	yes	characteristic, complemented
1336	C₂	—	2	2	no	—
1337	C₂	—	4	2	no	—
1338	C₂	—	6	2	no	—
1339	C₂	—	12	1	no	—
1340	C₂	—	12	2	no	—
1341	C₂	—	12	2	no	—
1342	C₂	—	12	2	no	—
1343	C₂	C₂×C₃×#1009	1	1	yes	characteristic
1344	C₂	C₃×D₃×H(5,𝔽₂)	1	1	yes	characteristic
1345	C₂	C₃×#5968	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂⁴×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₃
Fitting	C₃²×#539	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#539	D₃
hypocenter	C₃	C₃×#3534
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#539

Complements

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

N	H ≅ G/N	type
1. C₃²×#539	C₂	semidirect
2. C₃×#5711	C₂	semidirect
3. C₃×#5705	C₂	semidirect
4. C₃×#5697	C₂	semidirect
5. C₃×#5692	C₂	semidirect
6. C₃×#5657	C₂	semidirect
7. C₃×#5654	C₂	semidirect
8. C₃×#5654	C₂	semidirect
9. C₃×#5653	C₂	semidirect
10. C₃×#5647	C₂	semidirect
11. C₃×#5644	C₂	semidirect
12. C₃×#5630	C₂	semidirect
13. C₃×#5627	C₂	semidirect
14. C₃×#5605	C₂	semidirect
15. C₃×D₃×#121	C₂	semidirect
16. C₃×D₄×D₁₂	C₂	semidirect
17. C₃×#5540	C₂	semidirect
18. C₃×#5510	C₂	semidirect
19. C₂×C₃×#894	C₂	semidirect
21. #86459	C₃	direct (N × H)
22. C₂×C₃×#239	C₂²	semidirect
23. C₂×C₃×D₃×D₄	C₂²	semidirect
24. C₂×C₃×D₃×D₄	C₂²	semidirect
25. C₂×C₃×D₃×D₄	C₂²	semidirect
26. C₂×C₃×#235	C₂²	semidirect
28. C₂²×C₃×D₁₂	C₂²	semidirect
29. C₂²×C₃×C₄×D₃	C₂²	semidirect
30. C₃²×#126	C₂²	semidirect
31. C₃²×#125	C₂²	semidirect
32. C₃²×#123	C₂²	semidirect
33. C₃²×#123	C₂²	semidirect
34. C₃²×C₂²⋊Q₈	C₂²	semidirect
35. C₃²×C₂²⋊Q₈	C₂²	semidirect
37. C₃²×C₄×D₄	C₂²	semidirect
38. C₂×C₃²×C₄⋊C₄	C₂²	semidirect
39. C₃×#947	C₂²	semidirect
40. C₃×#946	C₂²	semidirect
41. C₃×#939	C₂²	semidirect
42. C₃×#939	C₂²	semidirect
43. C₃×#938	C₂²	semidirect
44. C₃×#937	C₂²	semidirect
45. C₃×#930	C₂²	semidirect
46. C₃×#930	C₂²	semidirect
47. C₃×#930	C₂²	semidirect
48. C₃×#930	C₂²	semidirect
49. C₃×#929	C₂²	semidirect
50. C₃×C₄×#67	C₂²	semidirect
51. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
52. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
53. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
54. C₂×C₃×Dic₃⋊C₄	C₂²	semidirect
55. C₃×#898	C₂²	semidirect
56. C₃×#897	C₂²	semidirect
57. C₃×#897	C₂²	semidirect
58. C₃×#896	C₂²	semidirect
59. C₃×#896	C₂²	semidirect
61. C₃×#895	C₂²	semidirect
62. C₃×#895	C₂²	semidirect
63. C₃×#895	C₂²	semidirect
64. C₃×#895	C₂²	semidirect
65. C₃×#895	C₂²	semidirect
66. C₃×#895	C₂²	semidirect
67. C₃×#895	C₂²	semidirect
68. C₃×#895	C₂²	semidirect
69. C₃×#894	C₂²	semidirect
70. C₃×#894	C₂²	semidirect
71. C₃×#894	C₂²	semidirect
72. C₃×#894	C₂²	semidirect
73. C₃×#894	C₂²	semidirect
74. C₃×#894	C₂²	semidirect
75. C₃×#894	C₂²	semidirect
76. C₃×#894	C₂²	semidirect
77. C₃×#894	C₂²	semidirect
78. C₃×#894	C₂²	semidirect
79. C₃×#893	C₂²	semidirect
80. C₃×#893	C₂²	semidirect
81. C₃×#893	C₂²	semidirect
82. C₃×#892	C₂²	semidirect
83. C₃×D₃×C₄⋊C₄	C₂²	semidirect
84. C₃×#889	C₂²	semidirect
85. C₃×#885	C₂²	semidirect
86. C₃×#885	C₂²	semidirect
87. C₃×#884	C₂²	semidirect
88. C₃×#884	C₂²	semidirect
89. C₃×#884	C₂²	semidirect
90. C₃×#884	C₂²	semidirect
91. C₃×#883	C₂²	semidirect
93. C₃×#882	C₂²	semidirect
94. C₃×#882	C₂²	semidirect
95. C₃×#882	C₂²	semidirect
96. C₃×#882	C₂²	semidirect
97. C₃×#882	C₂²	semidirect
98. C₃×#882	C₂²	semidirect
99. C₃×#67⋊C₄	C₂²	semidirect
100. C₃×#67⋊C₄	C₂²	semidirect
101. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
102. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
103. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
104. C₃×#879	C₂²	semidirect
105. C₃×#876	C₂²	semidirect
106. C₃×#874	C₂²	semidirect
107. C₃×C₄×D₁₂	C₂²	semidirect
108. C₃×#872	C₂²	semidirect
120. C₃×#539	D₃	semidirect
121. C₃×#539	C₂×C₃	semidirect
130. #5711	C₂×C₃	semidirect
131. #5705	C₂×C₃	semidirect
132. #5697	C₂×C₃	semidirect
133. #5692	C₂×C₃	semidirect
134. #5657	C₂×C₃	semidirect
135. #5654	C₂×C₃	semidirect
136. #5654	C₂×C₃	semidirect
137. #5653	C₂×C₃	semidirect
138. #5647	C₂×C₃	semidirect
139. #5644	C₂×C₃	semidirect
140. #5630	C₂×C₃	semidirect
141. #5627	C₂×C₃	semidirect
142. #5605	C₂×C₃	semidirect
143. D₃×#121	C₂×C₃	semidirect
144. D₄×D₁₂	C₂×C₃	semidirect
145. #5540	C₂×C₃	semidirect
146. #5510	C₂×C₃	semidirect
147. C₂×#894	C₂×C₃	semidirect
252. C₂×#239	C₂²×C₃	semidirect
253. C₂×D₃×D₄	C₂²×C₃	semidirect
254. C₂×D₃×D₄	C₂²×C₃	semidirect
255. C₂×D₃×D₄	C₂²×C₃	semidirect
256. C₂×#235	C₂²×C₃	semidirect
258. C₂²×D₁₂	C₂²×C₃	semidirect
259. C₂²×C₄×D₃	C₂²×C₃	semidirect
265. C₃×#126	C₂×D₃	semidirect
266. C₃×#126	C₂²×C₃	semidirect
269. C₃×#125	C₂×D₃	semidirect
270. C₃×#125	C₂²×C₃	semidirect
288. C₃×#123	C₂×D₃	semidirect
289. C₃×#123	C₂×D₃	semidirect
290. C₃×#123	C₂²×C₃	semidirect
291. C₃×#123	C₂²×C₃	semidirect
299. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
300. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
301. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
302. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
342. C₃×C₄×D₄	C₂×D₃	semidirect
343. C₃×C₄×D₄	C₂²×C₃	semidirect
349. C₂×C₃×C₄⋊C₄	C₂×D₃	semidirect
350. C₂×C₃×C₄⋊C₄	C₂²×C₃	semidirect
357. #947	C₂²×C₃	semidirect
358. #946	C₂²×C₃	semidirect
359. #939	C₂²×C₃	semidirect
360. #939	C₂²×C₃	semidirect
361. #938	C₂²×C₃	semidirect
362. #937	C₂²×C₃	semidirect
363. #930	C₂²×C₃	semidirect
364. #930	C₂²×C₃	semidirect
365. #930	C₂²×C₃	semidirect
366. #930	C₂²×C₃	semidirect
367. #929	C₂²×C₃	semidirect
368. C₄×#67	C₂²×C₃	semidirect
369. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
370. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
371. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
372. C₂×Dic₃⋊C₄	C₂²×C₃	semidirect
373. #898	C₂²×C₃	semidirect
374. #897	C₂²×C₃	semidirect
375. #897	C₂²×C₃	semidirect
376. #896	C₂²×C₃	semidirect
377. #896	C₂²×C₃	semidirect
379. #895	C₂²×C₃	semidirect
380. #895	C₂²×C₃	semidirect
381. #895	C₂²×C₃	semidirect
382. #895	C₂²×C₃	semidirect
383. #895	C₂²×C₃	semidirect
384. #895	C₂²×C₃	semidirect
385. #895	C₂²×C₃	semidirect
386. #895	C₂²×C₃	semidirect
387. #894	C₂²×C₃	semidirect
388. #894	C₂²×C₃	semidirect
389. #894	C₂²×C₃	semidirect
390. #894	C₂²×C₃	semidirect
391. #894	C₂²×C₃	semidirect
392. #894	C₂²×C₃	semidirect
393. #894	C₂²×C₃	semidirect
394. #894	C₂²×C₃	semidirect
395. #894	C₂²×C₃	semidirect
396. #894	C₂²×C₃	semidirect
397. #893	C₂²×C₃	semidirect
398. #893	C₂²×C₃	semidirect
399. #893	C₂²×C₃	semidirect
400. #892	C₂²×C₃	semidirect
401. D₃×C₄⋊C₄	C₂²×C₃	semidirect
402. #889	C₂²×C₃	semidirect
403. #885	C₂²×C₃	semidirect
404. #885	C₂²×C₃	semidirect
405. #884	C₂²×C₃	semidirect
406. #884	C₂²×C₃	semidirect
407. #884	C₂²×C₃	semidirect
408. #884	C₂²×C₃	semidirect
409. #883	C₂²×C₃	semidirect
411. #882	C₂²×C₃	semidirect
412. #882	C₂²×C₃	semidirect
413. #882	C₂²×C₃	semidirect
414. #882	C₂²×C₃	semidirect
415. #882	C₂²×C₃	semidirect
416. #882	C₂²×C₃	semidirect
417. #67⋊C₄	C₂²×C₃	semidirect
418. #67⋊C₄	C₂²×C₃	semidirect
419. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
420. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
421. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
422. #879	C₂²×C₃	semidirect
423. #876	C₂²×C₃	semidirect
424. #874	C₂²×C₃	semidirect
425. C₄×D₁₂	C₂²×C₃	semidirect
426. #872	C₂²×C₃	semidirect
506. #539	C₃×D₃	semidirect
776. #126	C₂×C₃×D₃	semidirect
778. #125	C₂×C₃×D₃	semidirect
794. #123	C₂×C₃×D₃	semidirect
795. #123	C₂×C₃×D₃	semidirect
801. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
802. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
839. C₄×D₄	C₂×C₃×D₃	semidirect
844. C₂×C₄⋊C₄	C₂×C₃×D₃	semidirect
1200. C₃²	#3534	semidirect
1334. C₃	#86459	direct (N × H)
1335. C₃	C₃×#3534	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#539	2
C₃×#5711	2
C₃×#5705	2
C₃×#5697	2
C₃×#5692	2
C₃×#5657	2
C₃×#5654	2
C₃×#5653	2
C₃×#5647	2
C₃×#5644	2
C₃×#5630	2
C₃×#5627	2
C₃×#5605	2
C₃×D₃×#121	2
C₃×D₄×D₁₂	2
C₃×#5540	2
C₃×#5510	2
C₂×C₃×#894	2
C₃×#3534	3
#86459	3

Subgroups — C3×#86459 #11910966

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86459 #11910966