Subgroups — C₃×#85949 #11904600

Order 1152.

3529 conjugacy classes of subgroups.

The subgroup lattice has 1224 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#1004	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₃×#235	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃²×#121	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#5805	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×D₄×#67	C₂	1	4	yes	maximal, complemented
6	C₃×#5791	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#5612	C₂	1	2	yes	maximal, complemented
8	C₃×#5609	C₂	1	2	yes	maximal, complemented
9	C₃×#5608	C₂	1	2	yes	maximal, complemented
10	C₃×#5607	C₂	1	2	yes	maximal, complemented
11	C₃×#5606	C₂	1	2	yes	maximal, complemented
12	C₃×D₃×#121	C₂	1	2	yes	maximal, complemented
13	C₃×#5599	C₂	1	2	yes	maximal, complemented
14	C₃×#5598	C₂	1	2	yes	maximal, complemented
15	C₃×#5510	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#5504	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#5490	C₂	1	4	yes	maximal, complemented
18	C₃×#3488	—	3	1	no	maximal
19	#85949	C₃	1	1	yes	maximal, characteristic, direct product factor
20	C₂²×C₃²×D₄	C₂²	1	1	yes	characteristic, complemented
21	C₂²×C₃²×D₄	C₂²	1	2	yes	complemented
22	C₂³×C₃²×C₄	C₂²	1	1	yes	characteristic, complemented
23	C₂²×C₃×#67	C₂²	1	4	yes	complemented
24	C₂²×C₃×#67	C₂²	1	2	yes	complemented
25	C₃×#1004	—	2	8	no	—
26	C₂×C₃×#237	C₂²	1	2	yes	complemented
27	C₂×C₃×#237	C₂²	1	2	yes	complemented
28	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
29	C₂×C₃×D₃×D₄	C₂²	1	2	yes	complemented
30	C₂×C₃×D₃×D₄	C₂²	1	4	yes	complemented
31	C₂×C₃×#235	—	2	8	no	—
32	C₂×C₃×#235	C₂²	1	1	yes	characteristic
33	C₂×C₃×#235	C₂²	1	2	yes	complemented
34	C₂×C₃×#235	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₃×#235	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₃×#235	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₃×#235	C₂²	1	2	yes	complemented
38	C₂×C₃×#235	C₂²	1	1	yes	characteristic, complemented
39	C₂²×C₃×D₁₂	C₂²	1	1	yes	characteristic, complemented
40	C₂²×C₃×C₄×D₃	C₂²	1	2	yes	complemented
41	C₂²×C₃×Dic₆	C₂²	1	1	yes	characteristic, complemented
42	C₃²×#121	C₂²	1	2	yes	complemented
43	C₃²×#121	C₂²	1	2	yes	complemented
44	C₃²×#121	C₂²	1	2	yes	complemented
45	C₃²×#121	C₂²	1	2	yes	complemented
46	C₂×C₃²×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₃²×C₂²⋊C₄	C₂²	1	2	yes	complemented
48	C₃×#953	C₂²	1	4	yes	complemented
49	C₃×#953	C₂²	1	2	yes	complemented
50	C₃×#940	C₂²	1	4	yes	complemented
51	C₃×#940	C₂²	1	2	yes	complemented
52	C₃×#939	C₂²	1	4	yes	complemented
53	C₃×#939	C₂²	1	4	yes	complemented
54	C₃×#938	C₂²	1	4	yes	complemented
55	C₃×#938	C₂²	1	2	yes	complemented
56	C₃×#938	C₂²	1	2	yes	complemented
57	C₃×#937	C₂²	1	4	yes	complemented
58	C₃×#937	C₂²	1	4	yes	complemented
59	C₃×#936	C₂²	1	2	yes	complemented
60	C₃×D₄×Dic₃	C₂²	1	4	yes	complemented
61	C₃×#930	C₂²	1	4	yes	complemented
62	C₃×#930	C₂²	1	1	yes	characteristic, complemented
63	C₃×#930	C₂²	1	1	yes	characteristic, complemented
64	C₃×#929	C₂²	1	2	yes	complemented
65	C₃×C₄×#67	C₂²	1	4	yes	complemented
66	C₃×C₄×#67	C₂²	1	2	yes	complemented
67	C₃×C₄×#67	C₂²	1	2	yes	complemented
68	C₃×#926	C₂²	1	1	yes	characteristic, complemented
69	C₃×#924	C₂²	1	1	yes	characteristic, complemented
70	C₃×#924	C₂²	1	1	yes	characteristic, complemented
71	C₃×#897	C₂²	1	2	yes	complemented
72	C₃×#897	C₂²	1	2	yes	complemented
73	C₃×#895	C₂²	1	2	yes	complemented
74	C₃×#895	C₂²	1	2	yes	complemented
75	C₃×#893	C₂²	1	2	yes	complemented
76	C₃×#892	C₂²	1	2	yes	complemented
77	C₃×D₃×C₄⋊C₄	C₂²	1	2	yes	complemented
78	C₃×#887	C₂²	1	2	yes	complemented
79	C₃×#885	C₂²	1	4	yes	complemented
80	C₃×#884	C₂²	1	4	yes	complemented
81	C₃×#884	C₂²	1	4	yes	complemented
82	C₃×#883	C₂²	1	4	yes	complemented
83	C₃×#882	C₂²	1	4	yes	complemented
84	C₃×#67⋊C₄	C₂²	1	4	yes	complemented
85	C₃×D₃×C₂²⋊C₄	C₂²	1	4	yes	complemented
86	C₃×#878	C₂²	1	4	yes	complemented
87	C₂×C₃×H(5,𝔽₂)	—	3	1	no	—
88	C₂²×C₃×#41	—	3	1	no	—
89	C₂×#1004	C₂×C₃	1	1	yes	characteristic, complemented
90	C₂²×#235	C₂×C₃	1	1	yes	characteristic, complemented
91	C₃×#550	—	3	2	no	—
92	C₃×#548	—	3	2	no	—
93	C₃×#546	—	3	2	no	—
94	C₃×#546	—	3	4	no	—
95	C₃×D₄²	—	3	4	no	—
96	C₃×D₄²	—	3	2	no	—
97	C₃×#537	—	3	2	no	—
98	C₃×#537	—	3	1	no	—
99	C₃×#535	—	3	1	no	—
100	C₃×#535	—	3	2	no	—
101	C₃×#525	—	3	1	no	—
102	C₃×#525	—	3	2	no	—
103	C₂×C₃×#121	—	2	1	no	—
104	C₂×C₃×#121	—	3	2	no	—
105	C₂×C₃×#121	D₃	1	1	yes	characteristic, complemented
106	C₂×C₃×#121	C₂×C₃	1	1	yes	characteristic, complemented
107	C₃×#520	—	3	1	no	—
108	#5805	C₂×C₃	1	1	yes	characteristic, complemented
109	D₄×#67	C₂×C₃	1	4	yes	complemented
110	#5791	C₂×C₃	1	1	yes	characteristic, complemented
111	#5612	C₂×C₃	1	2	yes	complemented
112	#5609	C₂×C₃	1	2	yes	complemented
113	#5608	C₂×C₃	1	2	yes	complemented
114	#5607	C₂×C₃	1	2	yes	complemented
115	#5606	C₂×C₃	1	2	yes	complemented
116	D₃×#121	C₂×C₃	1	2	yes	complemented
117	#5599	C₂×C₃	1	2	yes	complemented
118	#5598	C₂×C₃	1	2	yes	complemented
119	#5510	C₂×C₃	1	1	yes	characteristic, complemented
120	#5504	C₂×C₃	1	1	yes	characteristic, complemented
121	#5490	C₂×C₃	1	4	yes	complemented
122	C₂⁴×C₃²	C₂³	1	1	yes	characteristic
123	C₂⁴×C₃²	C₂³	1	2	yes	—
124	C₂³×C₃×D₃	C₂³	1	2	yes	—
125	C₂³×C₃×D₃	C₂³	1	4	yes	—
126	C₂×C₃²×D₄	—	2	4	no	—
127	C₂×C₃²×D₄	—	4	4	no	—
128	C₂×C₃²×D₄	C₂³	1	4	yes	—
129	C₂×C₃²×D₄	C₂³	1	2	yes	—
130	C₂×C₃²×D₄	C₂³	1	2	yes	—
131	C₂×C₃²×D₄	C₂³	1	4	yes	—
132	C₂²×C₃²×C₄	—	2	4	no	—
133	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
134	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
135	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
136	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
137	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
138	C₂²×C₃²×C₄	C₂³	1	2	yes	—
139	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
140	C₂×C₃×#67	—	2	8	no	—
141	C₂×C₃×#67	—	2	16	no	—
142	C₂×C₃×#67	C₂³	1	4	yes	—
143	C₂×C₃×#67	C₂³	1	4	yes	—
144	C₂×C₃×#67	C₂³	1	2	yes	—
145	C₂×C₃×#67	C₂³	1	2	yes	—
146	C₂×C₃×#67	C₂³	1	2	yes	—
147	C₂×C₃×#67	C₂³	1	2	yes	—
148	C₂×C₃×#67	C₂³	1	2	yes	—
149	C₂×C₃×#67	C₂³	1	4	yes	—
150	C₂×C₃×#67	C₂³	1	4	yes	—
151	C₂×C₃×#67	C₂³	1	2	yes	—
152	C₂×C₃×#67	C₂³	1	2	yes	—
153	C₂²×C₃×Dic₃	C₂³	1	4	yes	—
154	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
155	C₃×#237	—	2	8	no	—
156	C₃×#237	—	2	8	no	—
157	C₃×D₃×D₄	—	2	8	no	—
158	C₃×D₃×D₄	—	2	8	no	—
159	C₃×D₃×D₄	—	4	8	no	—
160	C₃×#235	—	2	4	no	—
161	C₃×#235	—	2	4	no	—
162	C₃×#235	—	2	8	no	—
163	C₃×#235	—	2	4	no	—
164	C₃×#235	—	2	8	no	—
165	C₃×#235	—	2	4	no	—
166	C₃×#235	D₄	1	8	yes	complemented
167	C₂×C₃×D₁₂	—	2	4	no	—
168	C₂×C₃×D₁₂	C₂³	1	2	yes	—
169	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
170	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
171	C₂×C₃×D₁₂	C₂³	1	4	yes	—
172	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
173	C₂×C₃×C₄×D₃	—	2	8	no	—
174	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
175	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
176	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
177	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
178	C₂×C₃×C₄×D₃	C₂³	1	4	yes	—
179	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
180	C₂×C₃×Dic₆	—	2	4	no	—
181	C₂×C₃×Dic₆	C₂³	1	2	yes	—
182	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
183	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
184	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
185	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
186	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
187	C₃²×C₂²⋊C₄	C₂³	1	4	yes	—
188	C₃²×C₂²⋊C₄	C₂³	1	4	yes	—
189	C₃×#217	C₂³	1	4	yes	—
190	C₃×#217	C₂³	1	4	yes	—
191	C₃×#217	C₂³	1	2	yes	—
192	C₃×#217	C₂³	1	2	yes	—
193	C₃×#217	C₂³	1	2	yes	—
194	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
195	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
196	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
197	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
198	C₃×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
199	C₃×C₄⋊Dic₃	C₂³	1	4	yes	—
200	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
201	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
202	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
203	C₃×Dic₃⋊C₄	C₂³	1	4	yes	—
204	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
205	C₃×C₄×Dic₃	C₂³	1	4	yes	—
206	C₃×C₄×Dic₃	C₂³	1	2	yes	—
207	#3488	—	3	1	no	Sylow
208	C₃×H(5,𝔽₂)	—	6	8	no	—
209	C₂×C₃×#41	—	3	2	no	—
210	C₂×C₃×#41	—	3	2	no	—
211	C₂×C₃×#41	—	3	1	no	—
212	C₂×C₃×#41	—	3	2	no	—
213	C₂×C₃×#41	—	3	1	no	—
214	C₂×C₃×#41	—	3	1	no	—
215	C₂×C₃×#41	—	3	2	no	—
216	C₂×C₃×#41	—	3	1	no	—
217	C₂×C₃×#41	—	3	1	no	—
218	C₂×C₃×#41	—	6	8	no	—
219	C₂²×C₃×Q₈	—	3	1	no	—
220	C₂²×C₃×D₄	—	2	1	no	—
221	C₂²×C₃×D₄	—	2	2	no	—
222	C₂²×C₃×D₄	—	3	2	no	—
223	C₂²×C₃×D₄	—	3	4	no	—
224	C₂²×C₃×D₄	—	3	2	no	—
225	C₂²×C₃×D₄	—	3	2	no	—
226	C₂²×C₃×D₄	—	3	4	no	—
227	C₂²×C₃×D₄	—	3	1	no	—
228	C₂²×C₃×D₄	C₂×D₃	1	1	yes	characteristic, complemented
229	C₂²×C₃×D₄	C₂×D₃	1	2	yes	complemented
230	C₂²×C₃×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
231	C₂²×C₃×D₄	C₂²×C₃	1	2	yes	complemented
232	C₂³×C₃×C₄	—	2	1	no	—
233	C₂³×C₃×C₄	—	3	2	no	—
234	C₂³×C₃×C₄	C₂×D₃	1	1	yes	characteristic, complemented
235	C₂³×C₃×C₄	C₂²×C₃	1	1	yes	characteristic, complemented
236	C₂²×#67	C₂²×C₃	1	2	yes	complemented
237	C₂²×#67	C₂²×C₃	1	4	yes	complemented
238	#1004	—	2	8	no	—
239	C₂×#237	C₂²×C₃	1	2	yes	complemented
240	C₂×#237	C₂²×C₃	1	2	yes	complemented
241	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
242	C₂×D₃×D₄	C₂²×C₃	1	2	yes	complemented
243	C₂×D₃×D₄	C₂²×C₃	1	4	yes	complemented
244	C₂×#235	—	2	8	no	—
245	C₂×#235	C₂²×C₃	1	1	yes	characteristic
246	C₂×#235	C₂²×C₃	1	2	yes	complemented
247	C₂×#235	C₂²×C₃	1	1	yes	characteristic, complemented
248	C₂×#235	C₂²×C₃	1	1	yes	characteristic, complemented
249	C₂×#235	C₂²×C₃	1	2	yes	complemented
250	C₂×#235	C₂²×C₃	1	1	yes	characteristic, complemented
251	C₂×#235	C₂²×C₃	1	1	yes	characteristic, complemented
252	C₂²×D₁₂	C₂²×C₃	1	1	yes	characteristic, complemented
253	C₂²×C₄×D₃	C₂²×C₃	1	2	yes	complemented
254	C₂²×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
255	C₃×#127	—	3	4	no	—
256	C₃×#127	—	3	2	no	—
257	C₃×#124	—	3	2	no	—
258	C₃×#124	—	3	4	no	—
259	C₃×#123	—	3	2	no	—
260	C₃×#123	—	3	4	no	—
261	C₃×C₂²⋊Q₈	—	3	1	no	—
262	C₃×C₂²⋊Q₈	—	3	1	no	—
263	C₃×C₂²⋊Q₈	—	3	2	no	—
264	C₃×C₂²⋊Q₈	—	3	2	no	—
265	C₃×C₂²⋊Q₈	—	3	4	no	—
266	C₃×#121	—	2	2	no	—
267	C₃×#121	—	2	2	no	—
268	C₃×#121	—	2	2	no	—
269	C₃×#121	—	2	2	no	—
270	C₃×#121	—	3	2	no	—
271	C₃×#121	—	3	2	no	—
272	C₃×#121	—	3	4	no	—
273	C₃×#121	—	3	4	no	—
274	C₃×#121	—	3	4	no	—
275	C₃×#121	—	3	1	no	—
276	C₃×#121	—	3	1	no	—
277	C₃×#121	—	3	4	no	—
278	C₃×#121	—	3	2	no	—
279	C₃×#121	—	3	2	no	—
280	C₃×#121	—	3	4	no	—
281	C₃×#121	—	3	4	no	—
282	C₃×#121	C₂×D₃	1	2	yes	complemented
283	C₃×#121	C₂×D₃	1	2	yes	complemented
284	C₃×#121	C₂×D₃	1	2	yes	complemented
285	C₃×#121	C₂×D₃	1	2	yes	complemented
286	C₃×#121	C₂²×C₃	1	2	yes	complemented
287	C₃×#121	C₂²×C₃	1	2	yes	complemented
288	C₃×#121	C₂²×C₃	1	2	yes	complemented
289	C₃×#121	C₂²×C₃	1	2	yes	complemented
290	C₃×#120	—	3	2	no	—
291	C₃×#120	—	3	4	no	—
292	C₃×#120	—	3	4	no	—
293	C₃×#120	—	3	4	no	—
294	C₃×#120	—	3	4	no	—
295	C₃×C₄×Q₈	—	3	2	no	—
296	C₃×C₄×D₄	—	3	4	no	—
297	C₃×C₄×D₄	—	3	4	no	—
298	C₃×C₄×D₄	—	3	2	no	—
299	C₃×C₄×D₄	—	3	2	no	—
300	C₃×C₄×D₄	—	3	2	no	—
301	C₃×C₄×D₄	—	3	4	no	—
302	C₃×#117	—	3	1	no	—
303	C₃×#117	—	3	2	no	—
304	C₂×C₃×C₄⋊C₄	—	2	1	no	—
305	C₂×C₃×C₄⋊C₄	—	3	2	no	—
306	C₂×C₃×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
307	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
308	C₂×C₃×C₂²⋊C₄	—	2	2	no	—
309	C₂×C₃×C₂²⋊C₄	—	3	4	no	—
310	C₂×C₃×C₂²⋊C₄	C₂×D₃	1	2	yes	complemented
311	C₂×C₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
312	#953	C₂²×C₃	1	4	yes	complemented
313	#953	C₂²×C₃	1	2	yes	complemented
314	#940	C₂²×C₃	1	4	yes	complemented
315	#940	C₂²×C₃	1	2	yes	complemented
316	#939	C₂²×C₃	1	4	yes	complemented
317	#939	C₂²×C₃	1	4	yes	complemented
318	#938	C₂²×C₃	1	4	yes	complemented
319	#938	C₂²×C₃	1	2	yes	complemented
320	#938	C₂²×C₃	1	2	yes	complemented
321	#937	C₂²×C₃	1	4	yes	complemented
322	#937	C₂²×C₃	1	4	yes	complemented
323	#936	C₂²×C₃	1	2	yes	complemented
324	D₄×Dic₃	C₂²×C₃	1	4	yes	complemented
325	#930	C₂²×C₃	1	4	yes	complemented
326	#930	C₂²×C₃	1	1	yes	characteristic, complemented
327	#930	C₂²×C₃	1	1	yes	characteristic, complemented
328	#929	C₂²×C₃	1	2	yes	complemented
329	C₄×#67	C₂²×C₃	1	4	yes	complemented
330	C₄×#67	C₂²×C₃	1	2	yes	complemented
331	C₄×#67	C₂²×C₃	1	2	yes	complemented
332	#926	C₂²×C₃	1	1	yes	characteristic, complemented
333	#924	C₂²×C₃	1	1	yes	characteristic, complemented
334	#924	C₂²×C₃	1	1	yes	characteristic, complemented
335	#897	C₂²×C₃	1	2	yes	complemented
336	#897	C₂²×C₃	1	2	yes	complemented
337	#895	C₂²×C₃	1	2	yes	complemented
338	#895	C₂²×C₃	1	2	yes	complemented
339	#893	C₂²×C₃	1	2	yes	complemented
340	#892	C₂²×C₃	1	2	yes	complemented
341	D₃×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
342	#887	C₂²×C₃	1	2	yes	complemented
343	#885	C₂²×C₃	1	4	yes	complemented
344	#884	C₂²×C₃	1	4	yes	complemented
345	#884	C₂²×C₃	1	4	yes	complemented
346	#883	C₂²×C₃	1	4	yes	complemented
347	#882	C₂²×C₃	1	4	yes	complemented
348	#67⋊C₄	C₂²×C₃	1	4	yes	complemented
349	D₃×C₂²⋊C₄	C₂²×C₃	1	4	yes	complemented
350	#878	C₂²×C₃	1	4	yes	complemented
351	C₂³×C₃²	—	2	2	no	—
352	C₂³×C₃²	—	2	2	no	—
353	C₂³×C₃²	—	2	4	no	—
354	C₂³×C₃²	—	4	1	no	—
355	C₂³×C₃²	—	4	2	no	—
356	C₂³×C₃²	—	4	2	no	—
357	C₂³×C₃²	C₂⁴	1	4	yes	—
358	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
359	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
360	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
361	C₂²×C₃×D₃	—	2	4	no	—
362	C₂²×C₃×D₃	—	2	4	no	—
363	C₂²×C₃×D₃	—	2	8	no	—
364	C₂²×C₃×D₃	—	4	2	no	—
365	C₂²×C₃×D₃	—	4	4	no	—
366	C₂²×C₃×D₃	—	4	4	no	—
367	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
368	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
369	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
370	C₃²×D₄	—	2	8	no	—
371	C₃²×D₄	—	2	4	no	—
372	C₃²×D₄	—	2	4	no	—
373	C₃²×D₄	—	4	4	no	—
374	C₂×C₃²×C₄	—	2	2	no	—
375	C₂×C₃²×C₄	—	2	2	no	—
376	C₂×C₃²×C₄	—	2	2	no	—
377	C₂×C₃²×C₄	—	2	2	no	—
378	C₂×C₃²×C₄	—	2	2	no	—
379	C₂×C₃²×C₄	—	4	2	no	—
380	C₂×C₃²×C₄	C₂×D₄	1	4	yes	complemented
381	C₂×C₃²×C₄	C₂⁴	1	4	yes	—
382	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
383	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
384	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
385	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
386	C₃×#67	—	2	4	no	—
387	C₃×#67	—	2	4	no	—
388	C₃×#67	—	2	4	no	—
389	C₃×#67	—	2	4	no	—
390	C₃×#67	—	2	8	no	—
391	C₃×#67	—	2	4	no	—
392	C₃×#67	—	2	8	no	—
393	C₃×#67	—	4	4	no	—
394	C₃×#67	—	4	4	no	—
395	C₃×#67	—	4	2	no	—
396	C₃×#67	C₂×D₄	1	8	yes	complemented
397	C₂×C₃×Dic₃	—	2	4	no	—
398	C₂×C₃×Dic₃	—	2	8	no	—
399	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
400	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
401	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
402	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
403	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
404	C₃×D₁₂	—	2	4	no	—
405	C₃×D₁₂	—	2	2	no	—
406	C₃×D₁₂	—	2	2	no	—
407	C₃×D₁₂	—	4	4	no	—
408	C₃×D₁₂	C₂×D₄	1	4	yes	complemented
409	C₃×C₄×D₃	—	2	4	no	—
410	C₃×C₄×D₃	—	2	4	no	—
411	C₃×C₄×D₃	—	2	4	no	—
412	C₃×C₄×D₃	—	2	4	no	—
413	C₃×C₄×D₃	—	4	4	no	—
414	C₃×C₄×D₃	C₂×D₄	1	8	yes	complemented
415	C₃×Dic₆	—	2	2	no	—
416	C₃×Dic₆	—	2	2	no	—
417	C₃×Dic₆	—	2	4	no	—
418	C₃×Dic₆	C₂×D₄	1	4	yes	complemented
419	C₂×H(5,𝔽₂)	—	3	1	no	—
420	C₂²×#41	—	3	1	no	—
421	#550	—	3	2	no	—
422	#548	—	3	2	no	—
423	#546	—	3	2	no	—
424	#546	—	3	4	no	—
425	D₄²	—	3	4	no	—
426	D₄²	—	3	2	no	—
427	#537	—	3	2	no	—
428	#537	—	3	1	no	—
429	#535	—	3	1	no	—
430	#535	—	3	2	no	—
431	#525	—	3	1	no	—
432	#525	—	3	2	no	—
433	C₂×#121	—	3	2	no	—
434	C₂×#121	C₃×D₃	1	1	yes	characteristic, complemented
435	#520	—	3	1	no	—
436	C₂⁴×C₃	—	2	1	no	—
437	C₂⁴×C₃	—	2	2	no	—
438	C₂⁴×C₃	—	3	2	no	—
439	C₂⁴×C₃	—	3	4	no	—
440	C₂⁴×C₃	C₂²×D₃	1	1	yes	characteristic
441	C₂⁴×C₃	C₂²×D₃	1	2	yes	—
442	C₂⁴×C₃	C₂³×C₃	1	1	yes	characteristic
443	C₂⁴×C₃	C₂³×C₃	1	2	yes	—
444	C₂³×D₃	C₂³×C₃	1	2	yes	—
445	C₂³×D₃	C₂³×C₃	1	4	yes	—
446	C₃×#41	—	3	8	no	—
447	C₃×#41	—	6	8	no	—
448	C₃×#41	—	6	8	no	—
449	C₃×#41	—	6	4	no	—
450	C₃×#41	—	6	4	no	—
451	C₃×#41	—	6	8	no	—
452	C₃×#41	—	6	8	no	—
453	C₃×#41	—	6	4	no	—
454	C₃×#41	—	6	4	no	—
455	C₂×C₃×Q₈	—	3	1	no	—
456	C₂×C₃×Q₈	—	3	1	no	—
457	C₂×C₃×Q₈	—	3	2	no	—
458	C₂×C₃×Q₈	—	3	1	no	—
459	C₂×C₃×Q₈	—	6	4	no	—
460	C₂×C₃×D₄	—	2	4	no	—
461	C₂×C₃×D₄	—	2	4	no	—
462	C₂×C₃×D₄	—	2	4	no	—
463	C₂×C₃×D₄	—	2	2	no	—
464	C₂×C₃×D₄	—	2	2	no	—
465	C₂×C₃×D₄	—	2	4	no	—
466	C₂×C₃×D₄	—	3	2	no	—
467	C₂×C₃×D₄	—	3	2	no	—
468	C₂×C₃×D₄	—	3	2	no	—
469	C₂×C₃×D₄	—	3	2	no	—
470	C₂×C₃×D₄	—	3	4	no	—
471	C₂×C₃×D₄	—	3	2	no	—
472	C₂×C₃×D₄	—	3	4	no	—
473	C₂×C₃×D₄	—	3	2	no	—
474	C₂×C₃×D₄	—	3	2	no	—
475	C₂×C₃×D₄	—	3	4	no	—
476	C₂×C₃×D₄	—	3	4	no	—
477	C₂×C₃×D₄	—	3	1	no	—
478	C₂×C₃×D₄	—	3	2	no	—
479	C₂×C₃×D₄	—	3	1	no	—
480	C₂×C₃×D₄	—	3	1	no	—
481	C₂×C₃×D₄	—	3	4	no	—
482	C₂×C₃×D₄	—	4	4	no	—
483	C₂×C₃×D₄	—	4	4	no	—
484	C₂×C₃×D₄	—	4	4	no	—
485	C₂×C₃×D₄	—	4	8	no	—
486	C₂×C₃×D₄	—	6	4	no	—
487	C₂×C₃×D₄	—	6	8	no	—
488	C₂×C₃×D₄	—	6	8	no	—
489	C₂×C₃×D₄	—	6	8	no	—
490	C₂×C₃×D₄	—	6	16	no	—
491	C₂×C₃×D₄	—	12	8	no	—
492	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
493	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
494	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
495	C₂×C₃×D₄	C₂²×D₃	1	4	yes	—
496	C₂×C₃×D₄	C₂³×C₃	1	4	yes	—
497	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
498	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
499	C₂×C₃×D₄	C₂³×C₃	1	4	yes	—
500	C₂²×C₃×C₄	—	2	4	no	—
501	C₂²×C₃×C₄	—	2	4	no	—
502	C₂²×C₃×C₄	—	2	1	no	—
503	C₂²×C₃×C₄	—	2	1	no	—
504	C₂²×C₃×C₄	—	2	2	no	—
505	C₂²×C₃×C₄	—	2	1	no	—
506	C₂²×C₃×C₄	—	2	1	no	—
507	C₂²×C₃×C₄	—	2	1	no	—
508	C₂²×C₃×C₄	—	2	1	no	—
509	C₂²×C₃×C₄	—	3	2	no	—
510	C₂²×C₃×C₄	—	3	2	no	—
511	C₂²×C₃×C₄	—	3	4	no	—
512	C₂²×C₃×C₄	—	3	2	no	—
513	C₂²×C₃×C₄	—	3	2	no	—
514	C₂²×C₃×C₄	—	3	2	no	—
515	C₂²×C₃×C₄	—	3	2	no	—
516	C₂²×C₃×C₄	—	3	4	no	—
517	C₂²×C₃×C₄	—	4	4	no	—
518	C₂²×C₃×C₄	—	6	8	no	—
519	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
520	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
521	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
522	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
523	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
524	C₂²×C₃×C₄	C₂²×D₃	1	2	yes	—
525	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
526	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
527	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
528	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
529	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
530	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
531	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
532	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
533	C₂×#67	—	2	8	no	—
534	C₂×#67	—	2	16	no	—
535	C₂×#67	C₂³×C₃	1	4	yes	—
536	C₂×#67	C₂³×C₃	1	4	yes	—
537	C₂×#67	C₂³×C₃	1	2	yes	—
538	C₂×#67	C₂³×C₃	1	2	yes	—
539	C₂×#67	C₂³×C₃	1	2	yes	—
540	C₂×#67	C₂³×C₃	1	2	yes	—
541	C₂×#67	C₂³×C₃	1	2	yes	—
542	C₂×#67	C₂³×C₃	1	4	yes	—
543	C₂×#67	C₂³×C₃	1	4	yes	—
544	C₂×#67	C₂³×C₃	1	2	yes	—
545	C₂×#67	C₂³×C₃	1	2	yes	—
546	C₂²×Dic₃	C₂³×C₃	1	4	yes	—
547	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
548	#237	—	2	8	no	—
549	#237	—	2	8	no	—
550	D₃×D₄	—	2	8	no	—
551	D₃×D₄	—	2	8	no	—
552	D₃×D₄	—	4	8	no	—
553	#235	—	2	4	no	—
554	#235	—	2	4	no	—
555	#235	—	2	8	no	—
556	#235	—	2	4	no	—
557	#235	—	2	8	no	—
558	#235	—	2	4	no	—
559	#235	C₃×D₄	1	8	yes	complemented
560	C₂×D₁₂	—	2	4	no	—
561	C₂×D₁₂	C₂³×C₃	1	2	yes	—
562	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
563	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
564	C₂×D₁₂	C₂³×C₃	1	4	yes	—
565	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
566	C₂×C₄×D₃	—	2	8	no	—
567	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
568	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
569	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
570	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
571	C₂×C₄×D₃	C₂³×C₃	1	4	yes	—
572	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
573	C₂×Dic₆	—	2	4	no	—
574	C₂×Dic₆	C₂³×C₃	1	2	yes	—
575	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
576	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
577	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
578	C₃×C₄⋊C₄	—	2	2	no	—
579	C₃×C₄⋊C₄	—	2	2	no	—
580	C₃×C₄⋊C₄	—	3	4	no	—
581	C₃×C₄⋊C₄	—	3	2	no	—
582	C₃×C₄⋊C₄	—	3	2	no	—
583	C₃×C₄⋊C₄	—	3	1	no	—
584	C₃×C₄⋊C₄	—	3	1	no	—
585	C₃×C₄⋊C₄	—	3	4	no	—
586	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
587	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
588	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
589	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
590	C₃×C₂²⋊C₄	—	2	4	no	—
591	C₃×C₂²⋊C₄	—	2	4	no	—
592	C₃×C₂²⋊C₄	—	3	4	no	—
593	C₃×C₂²⋊C₄	—	3	2	no	—
594	C₃×C₂²⋊C₄	—	3	2	no	—
595	C₃×C₂²⋊C₄	—	3	4	no	—
596	C₃×C₂²⋊C₄	—	3	2	no	—
597	C₃×C₂²⋊C₄	—	3	2	no	—
598	C₃×C₂²⋊C₄	—	3	4	no	—
599	C₃×C₂²⋊C₄	—	3	4	no	—
600	C₃×C₂²⋊C₄	—	3	2	no	—
601	C₃×C₂²⋊C₄	—	3	4	no	—
602	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
603	C₃×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
604	C₃×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
605	C₃×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
606	C₃×C₄²	—	3	4	no	—
607	C₃×C₄²	—	3	2	no	—
608	#217	C₂³×C₃	1	4	yes	—
609	#217	C₂³×C₃	1	4	yes	—
610	#217	C₂³×C₃	1	2	yes	—
611	#217	C₂³×C₃	1	2	yes	—
612	#217	C₂³×C₃	1	2	yes	—
613	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
614	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
615	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
616	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
617	(C₂×D₃)⋊C₄	C₂³×C₃	1	4	yes	—
618	C₄⋊Dic₃	C₂³×C₃	1	4	yes	—
619	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
620	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
621	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
622	Dic₃⋊C₄	C₂³×C₃	1	4	yes	—
623	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
624	C₄×Dic₃	C₂³×C₃	1	4	yes	—
625	C₄×Dic₃	C₂³×C₃	1	2	yes	—
626	C₂²×C₃²	—	2	1	no	—
627	C₂²×C₃²	—	2	1	no	—
628	C₂²×C₃²	—	2	1	no	—
629	C₂²×C₃²	—	2	1	no	—
630	C₂²×C₃²	—	2	1	no	—
631	C₂²×C₃²	—	2	4	no	—
632	C₂²×C₃²	—	2	1	no	—
633	C₂²×C₃²	—	2	4	no	—
634	C₂²×C₃²	—	2	1	no	—
635	C₂²×C₃²	—	2	4	no	—
636	C₂²×C₃²	—	4	4	no	—
637	C₂²×C₃²	—	8	4	no	—
638	C₂²×C₃²	C₂²×D₄	1	2	yes	—
639	C₂²×C₃²	H(5,𝔽₂)	1	2	yes	complemented
640	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
641	C₂×C₃×D₃	—	2	2	no	—
642	C₂×C₃×D₃	—	2	2	no	—
643	C₂×C₃×D₃	—	2	2	no	—
644	C₂×C₃×D₃	—	2	2	no	—
645	C₂×C₃×D₃	—	2	2	no	—
646	C₂×C₃×D₃	—	2	2	no	—
647	C₂×C₃×D₃	—	2	2	no	—
648	C₂×C₃×D₃	—	2	2	no	—
649	C₂×C₃×D₃	—	4	8	no	—
650	C₂×C₃×D₃	—	8	8	no	—
651	C₂×C₃×D₃	C₂²×D₄	1	4	yes	—
652	C₃²×C₄	—	2	1	no	—
653	C₃²×C₄	—	2	1	no	—
654	C₃²×C₄	—	2	4	no	—
655	C₃²×C₄	C₂²×D₄	1	2	yes	—
656	C₃²×C₄	C₂²×D₄	1	2	yes	—
657	C₃×Dic₃	—	2	2	no	—
658	C₃×Dic₃	—	2	2	no	—
659	C₃×Dic₃	—	2	2	no	—
660	C₃×Dic₃	—	2	2	no	—
661	C₃×Dic₃	C₂²×D₄	1	4	yes	—
662	H(5,𝔽₂)	—	6	8	no	—
663	C₂×#41	—	3	2	no	—
664	C₂×#41	—	3	2	no	—
665	C₂×#41	—	3	1	no	—
666	C₂×#41	—	3	1	no	—
667	C₂×#41	—	3	2	no	—
668	C₂×#41	—	3	1	no	—
669	C₂×#41	—	3	1	no	—
670	C₂×#41	—	3	2	no	—
671	C₂×#41	—	3	1	no	—
672	C₂×#41	—	6	8	no	—
673	C₂²×Q₈	—	3	1	no	—
674	C₂²×D₄	—	3	2	no	—
675	C₂²×D₄	—	3	4	no	—
676	C₂²×D₄	—	3	2	no	—
677	C₂²×D₄	—	3	2	no	—
678	C₂²×D₄	—	3	4	no	—
679	C₂²×D₄	—	3	1	no	—
680	C₂²×D₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
681	C₂²×D₄	C₂×C₃×D₃	1	2	yes	complemented
682	C₂³×C₄	—	3	2	no	—
683	C₂³×C₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
684	#127	—	3	4	no	—
685	#127	—	3	2	no	—
686	#124	—	3	2	no	—
687	#124	—	3	4	no	—
688	#123	—	3	2	no	—
689	#123	—	3	4	no	—
690	C₂²⋊Q₈	—	3	1	no	—
691	C₂²⋊Q₈	—	3	1	no	—
692	C₂²⋊Q₈	—	3	2	no	—
693	C₂²⋊Q₈	—	3	2	no	—
694	C₂²⋊Q₈	—	3	4	no	—
695	#121	—	3	2	no	—
696	#121	—	3	4	no	—
697	#121	—	3	2	no	—
698	#121	—	3	4	no	—
699	#121	—	3	4	no	—
700	#121	—	3	1	no	—
701	#121	—	3	1	no	—
702	#121	—	3	4	no	—
703	#121	—	3	2	no	—
704	#121	—	3	2	no	—
705	#121	—	3	4	no	—
706	#121	—	3	4	no	—
707	#121	C₂×C₃×D₃	1	2	yes	complemented
708	#121	C₂×C₃×D₃	1	2	yes	complemented
709	#121	C₂×C₃×D₃	1	2	yes	complemented
710	#121	C₂×C₃×D₃	1	2	yes	complemented
711	#120	—	3	2	no	—
712	#120	—	3	4	no	—
713	#120	—	3	4	no	—
714	#120	—	3	4	no	—
715	#120	—	3	4	no	—
716	C₄×Q₈	—	3	2	no	—
717	C₄×D₄	—	3	4	no	—
718	C₄×D₄	—	3	4	no	—
719	C₄×D₄	—	3	2	no	—
720	C₄×D₄	—	3	2	no	—
721	C₄×D₄	—	3	2	no	—
722	C₄×D₄	—	3	4	no	—
723	#117	—	3	1	no	—
724	#117	—	3	2	no	—
725	C₂×C₄⋊C₄	—	3	2	no	—
726	C₂×C₄⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
727	C₂×C₂²⋊C₄	—	3	4	no	—
728	C₂×C₂²⋊C₄	C₂×C₃×D₃	1	2	yes	complemented
729	C₂³×C₃	—	2	4	no	—
730	C₂³×C₃	—	2	2	no	—
731	C₂³×C₃	—	2	2	no	—
732	C₂³×C₃	—	2	2	no	—
733	C₂³×C₃	—	2	2	no	—
734	C₂³×C₃	—	2	4	no	—
735	C₂³×C₃	—	2	4	no	—
736	C₂³×C₃	—	2	1	no	—
737	C₂³×C₃	—	2	1	no	—
738	C₂³×C₃	—	2	1	no	—
739	C₂³×C₃	—	2	4	no	—
740	C₂³×C₃	—	3	2	no	—
741	C₂³×C₃	—	3	2	no	—
742	C₂³×C₃	—	3	2	no	—
743	C₂³×C₃	—	4	2	no	—
744	C₂³×C₃	—	4	4	no	—
745	C₂³×C₃	—	4	1	no	—
746	C₂³×C₃	—	4	1	no	—
747	C₂³×C₃	—	4	2	no	—
748	C₂³×C₃	—	4	2	no	—
749	C₂³×C₃	—	4	2	no	—
750	C₂³×C₃	—	4	2	no	—
751	C₂³×C₃	—	4	2	no	—
752	C₂³×C₃	—	4	4	no	—
753	C₂³×C₃	—	4	4	no	—
754	C₂³×C₃	—	6	4	no	—
755	C₂³×C₃	—	6	8	no	—
756	C₂³×C₃	—	6	4	no	—
757	C₂³×C₃	—	12	2	no	—
758	C₂³×C₃	—	12	4	no	—
759	C₂³×C₃	—	12	4	no	—
760	C₂³×C₃	C₂³×D₃	1	4	yes	—
761	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
762	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
763	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
764	C₂³×C₃	C₂⁴×C₃	1	4	yes	—
765	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
766	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
767	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
768	C₂²×D₃	—	2	4	no	—
769	C₂²×D₃	—	2	4	no	—
770	C₂²×D₃	—	2	8	no	—
771	C₂²×D₃	—	4	2	no	—
772	C₂²×D₃	—	4	4	no	—
773	C₂²×D₃	—	4	4	no	—
774	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
775	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
776	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
777	C₃×Q₈	—	3	4	no	—
778	C₃×Q₈	—	6	4	no	—
779	C₃×Q₈	—	6	2	no	—
780	C₃×Q₈	—	6	2	no	—
781	C₃×D₄	—	2	8	no	—
782	C₃×D₄	—	2	8	no	—
783	C₃×D₄	—	2	4	no	—
784	C₃×D₄	—	2	4	no	—
785	C₃×D₄	—	2	4	no	—
786	C₃×D₄	—	2	4	no	—
787	C₃×D₄	—	3	8	no	—
788	C₃×D₄	—	3	4	no	—
789	C₃×D₄	—	4	4	no	—
790	C₃×D₄	—	4	4	no	—
791	C₃×D₄	—	4	8	no	—
792	C₃×D₄	—	4	4	no	—
793	C₃×D₄	—	4	4	no	—
794	C₃×D₄	—	4	8	no	—
795	C₃×D₄	—	6	4	no	—
796	C₃×D₄	—	6	8	no	—
797	C₃×D₄	—	6	4	no	—
798	C₃×D₄	—	6	8	no	—
799	C₃×D₄	—	6	4	no	—
800	C₃×D₄	—	6	4	no	—
801	C₃×D₄	—	6	4	no	—
802	C₃×D₄	—	6	4	no	—
803	C₃×D₄	—	6	2	no	—
804	C₃×D₄	—	6	2	no	—
805	C₃×D₄	—	12	4	no	—
806	C₃×D₄	—	12	2	no	—
807	C₃×D₄	—	12	4	no	—
808	C₃×D₄	—	12	4	no	—
809	C₂×C₃×C₄	—	2	2	no	—
810	C₂×C₃×C₄	—	2	2	no	—
811	C₂×C₃×C₄	—	2	2	no	—
812	C₂×C₃×C₄	—	2	2	no	—
813	C₂×C₃×C₄	—	2	2	no	—
814	C₂×C₃×C₄	—	2	2	no	—
815	C₂×C₃×C₄	—	2	2	no	—
816	C₂×C₃×C₄	—	2	2	no	—
817	C₂×C₃×C₄	—	2	2	no	—
818	C₂×C₃×C₄	—	2	2	no	—
819	C₂×C₃×C₄	—	2	1	no	—
820	C₂×C₃×C₄	—	2	1	no	—
821	C₂×C₃×C₄	—	2	1	no	—
822	C₂×C₃×C₄	—	2	1	no	—
823	C₂×C₃×C₄	—	2	4	no	—
824	C₂×C₃×C₄	—	2	4	no	—
825	C₂×C₃×C₄	—	3	2	no	—
826	C₂×C₃×C₄	—	3	8	no	—
827	C₂×C₃×C₄	—	3	2	no	—
828	C₂×C₃×C₄	—	3	2	no	—
829	C₂×C₃×C₄	—	3	2	no	—
830	C₂×C₃×C₄	—	3	2	no	—
831	C₂×C₃×C₄	—	4	2	no	—
832	C₂×C₃×C₄	—	4	2	no	—
833	C₂×C₃×C₄	—	4	2	no	—
834	C₂×C₃×C₄	—	4	2	no	—
835	C₂×C₃×C₄	—	4	2	no	—
836	C₂×C₃×C₄	—	4	2	no	—
837	C₂×C₃×C₄	—	4	2	no	—
838	C₂×C₃×C₄	—	4	4	no	—
839	C₂×C₃×C₄	—	6	4	no	—
840	C₂×C₃×C₄	—	6	4	no	—
841	C₂×C₃×C₄	—	6	4	no	—
842	C₂×C₃×C₄	—	6	8	no	—
843	C₂×C₃×C₄	—	6	4	no	—
844	C₂×C₃×C₄	—	6	4	no	—
845	C₂×C₃×C₄	—	12	4	no	—
846	C₂×C₃×C₄	D₃×D₄	1	4	yes	complemented
847	C₂×C₃×C₄	C₂×C₃×D₄	1	4	yes	complemented
848	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
849	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
850	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
851	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
852	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
853	C₂×C₃×C₄	C₂⁴×C₃	1	4	yes	—
854	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
855	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
856	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
857	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
858	#67	—	2	4	no	—
859	#67	—	2	4	no	—
860	#67	—	2	4	no	—
861	#67	—	2	4	no	—
862	#67	—	2	8	no	—
863	#67	—	2	4	no	—
864	#67	—	2	8	no	—
865	#67	—	4	4	no	—
866	#67	—	4	4	no	—
867	#67	—	4	2	no	—
868	#67	C₂×C₃×D₄	1	8	yes	complemented
869	C₂×Dic₃	—	2	4	no	—
870	C₂×Dic₃	—	2	8	no	—
871	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
872	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
873	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
874	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
875	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
876	D₁₂	—	2	4	no	—
877	D₁₂	—	2	2	no	—
878	D₁₂	—	2	2	no	—
879	D₁₂	—	4	4	no	—
880	D₁₂	C₂×C₃×D₄	1	4	yes	complemented
881	C₄×D₃	—	2	4	no	—
882	C₄×D₃	—	2	4	no	—
883	C₄×D₃	—	2	4	no	—
884	C₄×D₃	—	2	4	no	—
885	C₄×D₃	—	4	4	no	—
886	C₄×D₃	C₂×C₃×D₄	1	8	yes	complemented
887	Dic₆	—	2	2	no	—
888	Dic₆	—	2	2	no	—
889	Dic₆	—	2	4	no	—
890	Dic₆	C₂×C₃×D₄	1	4	yes	complemented
891	C₂×C₃²	—	2	2	no	—
892	C₂×C₃²	—	2	2	no	—
893	C₂×C₃²	—	4	1	no	—
894	C₂×C₃²	—	4	4	no	—
895	C₂×C₃²	C₂³×D₄	1	1	yes	characteristic
896	C₂×C₃²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
897	C₂×C₃²	#585	1	1	yes	characteristic
898	C₃×D₃	—	2	4	no	—
899	C₃×D₃	—	4	2	no	—
900	C₃×D₃	—	4	2	no	—
901	C₂⁴	—	3	2	no	—
902	C₂⁴	—	3	4	no	—
903	C₂⁴	C₂²×C₃×D₃	1	1	yes	characteristic
904	C₂⁴	C₂²×C₃×D₃	1	2	yes	—
905	#41	—	3	8	no	—
906	#41	—	6	8	no	—
907	#41	—	6	8	no	—
908	#41	—	6	4	no	—
909	#41	—	6	4	no	—
910	#41	—	6	8	no	—
911	#41	—	6	8	no	—
912	#41	—	6	4	no	—
913	#41	—	6	4	no	—
914	C₂×Q₈	—	3	1	no	—
915	C₂×Q₈	—	3	1	no	—
916	C₂×Q₈	—	3	2	no	—
917	C₂×Q₈	—	3	1	no	—
918	C₂×Q₈	—	6	4	no	—
919	C₂×D₄	—	2	4	no	—
920	C₂×D₄	—	3	2	no	—
921	C₂×D₄	—	3	2	no	—
922	C₂×D₄	—	3	2	no	—
923	C₂×D₄	—	3	2	no	—
924	C₂×D₄	—	3	4	no	—
925	C₂×D₄	—	3	2	no	—
926	C₂×D₄	—	3	4	no	—
927	C₂×D₄	—	3	2	no	—
928	C₂×D₄	—	3	2	no	—
929	C₂×D₄	—	3	4	no	—
930	C₂×D₄	—	3	4	no	—
931	C₂×D₄	—	3	1	no	—
932	C₂×D₄	—	3	2	no	—
933	C₂×D₄	—	3	1	no	—
934	C₂×D₄	—	3	1	no	—
935	C₂×D₄	—	3	4	no	—
936	C₂×D₄	—	4	4	no	—
937	C₂×D₄	—	6	4	no	—
938	C₂×D₄	—	6	8	no	—
939	C₂×D₄	—	6	8	no	—
940	C₂×D₄	—	6	8	no	—
941	C₂×D₄	—	6	16	no	—
942	C₂×D₄	—	12	8	no	—
943	C₂×D₄	C₂²×C₃×D₃	1	4	yes	—
944	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
945	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
946	C₂×D₄	C₂²×C₃×D₃	1	4	yes	—
947	C₂²×C₄	—	2	4	no	—
948	C₂²×C₄	—	3	2	no	—
949	C₂²×C₄	—	3	2	no	—
950	C₂²×C₄	—	3	4	no	—
951	C₂²×C₄	—	3	2	no	—
952	C₂²×C₄	—	3	2	no	—
953	C₂²×C₄	—	3	2	no	—
954	C₂²×C₄	—	3	2	no	—
955	C₂²×C₄	—	3	4	no	—
956	C₂²×C₄	—	6	8	no	—
957	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
958	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
959	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
960	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
961	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
962	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
963	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
964	C₄⋊C₄	—	3	1	no	—
965	C₄⋊C₄	—	3	4	no	—
966	C₄⋊C₄	—	3	1	no	—
967	C₄⋊C₄	—	3	2	no	—
968	C₄⋊C₄	—	3	2	no	—
969	C₄⋊C₄	—	3	4	no	—
970	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
971	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
972	C₂²⋊C₄	—	3	4	no	—
973	C₂²⋊C₄	—	3	2	no	—
974	C₂²⋊C₄	—	3	2	no	—
975	C₂²⋊C₄	—	3	4	no	—
976	C₂²⋊C₄	—	3	2	no	—
977	C₂²⋊C₄	—	3	2	no	—
978	C₂²⋊C₄	—	3	4	no	—
979	C₂²⋊C₄	—	3	4	no	—
980	C₂²⋊C₄	—	3	2	no	—
981	C₂²⋊C₄	—	3	4	no	—
982	C₂²⋊C₄	C₂²×C₃×D₃	1	4	yes	—
983	C₂²⋊C₄	C₂²×C₃×D₃	1	4	yes	—
984	C₄²	—	3	4	no	—
985	C₄²	—	3	2	no	—
986	C₂²×C₃	—	2	2	no	—
987	C₂²×C₃	—	2	2	no	—
988	C₂²×C₃	—	2	1	no	—
989	C₂²×C₃	—	2	1	no	—
990	C₂²×C₃	—	2	1	no	—
991	C₂²×C₃	—	2	1	no	—
992	C₂²×C₃	—	2	1	no	—
993	C₂²×C₃	—	2	1	no	—
994	C₂²×C₃	—	2	1	no	—
995	C₂²×C₃	—	2	1	no	—
996	C₂²×C₃	—	2	2	no	—
997	C₂²×C₃	—	2	1	no	—
998	C₂²×C₃	—	2	4	no	—
999	C₂²×C₃	—	2	4	no	—
1000	C₂²×C₃	—	2	1	no	—
1001	C₂²×C₃	—	2	1	no	—
1002	C₂²×C₃	—	2	4	no	—
1003	C₂²×C₃	—	2	4	no	—
1004	C₂²×C₃	—	2	1	no	—
1005	C₂²×C₃	—	2	4	no	—
1006	C₂²×C₃	—	2	1	no	—
1007	C₂²×C₃	—	2	1	no	—
1008	C₂²×C₃	—	2	4	no	—
1009	C₂²×C₃	—	2	2	no	—
1010	C₂²×C₃	—	2	2	no	—
1011	C₂²×C₃	—	2	1	no	—
1012	C₂²×C₃	—	3	4	no	—
1013	C₂²×C₃	—	4	1	no	—
1014	C₂²×C₃	—	4	1	no	—
1015	C₂²×C₃	—	4	1	no	—
1016	C₂²×C₃	—	4	1	no	—
1017	C₂²×C₃	—	4	4	no	—
1018	C₂²×C₃	—	4	4	no	—
1019	C₂²×C₃	—	4	4	no	—
1020	C₂²×C₃	—	4	4	no	—
1021	C₂²×C₃	—	4	4	no	—
1022	C₂²×C₃	—	4	8	no	—
1023	C₂²×C₃	—	6	2	no	—
1024	C₂²×C₃	—	6	2	no	—
1025	C₂²×C₃	—	6	2	no	—
1026	C₂²×C₃	—	6	2	no	—
1027	C₂²×C₃	—	6	2	no	—
1028	C₂²×C₃	—	6	2	no	—
1029	C₂²×C₃	—	6	2	no	—
1030	C₂²×C₃	—	6	2	no	—
1031	C₂²×C₃	—	8	4	no	—
1032	C₂²×C₃	—	8	4	no	—
1033	C₂²×C₃	—	8	8	no	—
1034	C₂²×C₃	—	12	8	no	—
1035	C₂²×C₃	—	24	8	no	—
1036	C₂²×C₃	C₂×D₃×D₄	1	2	yes	—
1037	C₂²×C₃	#1004	1	2	yes	complemented
1038	C₂²×C₃	C₂²×C₃×D₄	1	2	yes	—
1039	C₂²×C₃	C₃×H(5,𝔽₂)	1	2	yes	complemented
1040	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1041	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1042	C₂×D₃	—	2	2	no	—
1043	C₂×D₃	—	2	2	no	—
1044	C₂×D₃	—	2	2	no	—
1045	C₂×D₃	—	2	2	no	—
1046	C₂×D₃	—	2	2	no	—
1047	C₂×D₃	—	2	2	no	—
1048	C₂×D₃	—	2	2	no	—
1049	C₂×D₃	—	2	2	no	—
1050	C₂×D₃	—	4	8	no	—
1051	C₂×D₃	—	8	8	no	—
1052	C₂×D₃	C₂²×C₃×D₄	1	4	yes	—
1053	C₃×C₄	—	2	1	no	—
1054	C₃×C₄	—	2	1	no	—
1055	C₃×C₄	—	2	4	no	—
1056	C₃×C₄	—	2	1	no	—
1057	C₃×C₄	—	2	1	no	—
1058	C₃×C₄	—	2	4	no	—
1059	C₃×C₄	—	2	2	no	—
1060	C₃×C₄	—	2	2	no	—
1061	C₃×C₄	—	3	4	no	—
1062	C₃×C₄	—	4	1	no	—
1063	C₃×C₄	—	4	1	no	—
1064	C₃×C₄	—	4	4	no	—
1065	C₃×C₄	—	6	2	no	—
1066	C₃×C₄	—	6	2	no	—
1067	C₃×C₄	—	6	2	no	—
1068	C₃×C₄	—	6	2	no	—
1069	C₃×C₄	C₂×D₃×D₄	1	2	yes	—
1070	C₃×C₄	C₂×D₃×D₄	1	2	yes	—
1071	C₃×C₄	C₂²×C₃×D₄	1	2	yes	—
1072	C₃×C₄	C₂²×C₃×D₄	1	2	yes	—
1073	Dic₃	—	2	2	no	—
1074	Dic₃	—	2	2	no	—
1075	Dic₃	—	2	2	no	—
1076	Dic₃	—	2	2	no	—
1077	Dic₃	C₂²×C₃×D₄	1	4	yes	—
1078	C₃²	#3488	1	1	yes	characteristic, complemented, Sylow
1079	C₂³	—	2	2	no	—
1080	C₂³	—	2	2	no	—
1081	C₂³	—	2	4	no	—
1082	C₂³	—	3	2	no	—
1083	C₂³	—	3	2	no	—
1084	C₂³	—	3	2	no	—
1085	C₂³	—	4	1	no	—
1086	C₂³	—	4	2	no	—
1087	C₂³	—	4	2	no	—
1088	C₂³	—	6	4	no	—
1089	C₂³	—	6	8	no	—
1090	C₂³	—	6	4	no	—
1091	C₂³	—	12	2	no	—
1092	C₂³	—	12	4	no	—
1093	C₂³	—	12	4	no	—
1094	C₂³	C₂³×C₃×D₃	1	4	yes	—
1095	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1096	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1097	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1098	Q₈	—	3	4	no	—
1099	Q₈	—	6	4	no	—
1100	Q₈	—	6	2	no	—
1101	Q₈	—	6	2	no	—
1102	D₄	—	2	8	no	—
1103	D₄	—	2	4	no	—
1104	D₄	—	2	4	no	—
1105	D₄	—	3	8	no	—
1106	D₄	—	3	4	no	—
1107	D₄	—	4	4	no	—
1108	D₄	—	6	4	no	—
1109	D₄	—	6	8	no	—
1110	D₄	—	6	4	no	—
1111	D₄	—	6	8	no	—
1112	D₄	—	6	4	no	—
1113	D₄	—	6	4	no	—
1114	D₄	—	6	4	no	—
1115	D₄	—	6	4	no	—
1116	D₄	—	6	2	no	—
1117	D₄	—	6	2	no	—
1118	D₄	—	12	4	no	—
1119	D₄	—	12	4	no	—
1120	D₄	—	12	2	no	—
1121	D₄	—	12	4	no	—
1122	C₂×C₄	—	2	2	no	—
1123	C₂×C₄	—	2	2	no	—
1124	C₂×C₄	—	2	2	no	—
1125	C₂×C₄	—	2	2	no	—
1126	C₂×C₄	—	2	2	no	—
1127	C₂×C₄	—	3	2	no	—
1128	C₂×C₄	—	3	8	no	—
1129	C₂×C₄	—	3	2	no	—
1130	C₂×C₄	—	3	2	no	—
1131	C₂×C₄	—	3	2	no	—
1132	C₂×C₄	—	3	2	no	—
1133	C₂×C₄	—	4	2	no	—
1134	C₂×C₄	—	6	4	no	—
1135	C₂×C₄	—	6	4	no	—
1136	C₂×C₄	—	6	4	no	—
1137	C₂×C₄	—	6	8	no	—
1138	C₂×C₄	—	6	4	no	—
1139	C₂×C₄	—	6	4	no	—
1140	C₂×C₄	—	12	4	no	—
1141	C₂×C₄	C₃×D₃×D₄	1	4	yes	complemented
1142	C₂×C₄	C₂³×C₃×D₃	1	4	yes	—
1143	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1144	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1145	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1146	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1147	C₂×C₃	—	2	4	no	—
1148	C₂×C₃	—	2	2	no	—
1149	C₂×C₃	—	2	2	no	—
1150	C₂×C₃	—	2	2	no	—
1151	C₂×C₃	—	2	2	no	—
1152	C₂×C₃	—	2	1	no	—
1153	C₂×C₃	—	2	1	no	—
1154	C₂×C₃	—	2	1	no	—
1155	C₂×C₃	—	4	2	no	—
1156	C₂×C₃	—	4	2	no	—
1157	C₂×C₃	—	4	4	no	—
1158	C₂×C₃	—	4	1	no	—
1159	C₂×C₃	—	4	1	no	—
1160	C₂×C₃	—	4	4	no	—
1161	C₂×C₃	—	6	4	no	—
1162	C₂×C₃	—	8	4	no	—
1163	C₂×C₃	—	12	2	no	—
1164	C₂×C₃	—	12	2	no	—
1165	C₂×C₃	C₂²×D₃×D₄	1	1	yes	characteristic
1166	C₂×C₃	C₂×#1004	1	1	yes	characteristic
1167	C₂×C₃	#5964	1	1	yes	characteristic
1168	C₂×C₃	C₂³×C₃×D₄	1	1	yes	characteristic
1169	C₂×C₃	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1170	C₂×C₃	C₃×#585	1	1	yes	characteristic
1171	D₃	—	2	4	no	—
1172	D₃	—	4	2	no	—
1173	D₃	—	4	2	no	—
1174	C₂²	—	2	1	no	—
1175	C₂²	—	2	1	no	—
1176	C₂²	—	2	1	no	—
1177	C₂²	—	2	1	no	—
1178	C₂²	—	2	1	no	—
1179	C₂²	—	2	4	no	—
1180	C₂²	—	2	4	no	—
1181	C₂²	—	2	1	no	—
1182	C₂²	—	2	1	no	—
1183	C₂²	—	2	4	no	—
1184	C₂²	—	3	4	no	—
1185	C₂²	—	4	4	no	—
1186	C₂²	—	6	2	no	—
1187	C₂²	—	6	2	no	—
1188	C₂²	—	6	2	no	—
1189	C₂²	—	6	2	no	—
1190	C₂²	—	6	2	no	—
1191	C₂²	—	6	2	no	—
1192	C₂²	—	6	2	no	—
1193	C₂²	—	6	2	no	—
1194	C₂²	—	8	4	no	—
1195	C₂²	—	12	8	no	—
1196	C₂²	—	24	8	no	—
1197	C₂²	C₂×C₃×D₃×D₄	1	2	yes	—
1198	C₂²	C₃×#1004	1	2	yes	complemented
1199	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1200	C₄	—	2	1	no	—
1201	C₄	—	2	1	no	—
1202	C₄	—	2	4	no	—
1203	C₄	—	3	4	no	—
1204	C₄	—	6	2	no	—
1205	C₄	—	6	2	no	—
1206	C₄	—	6	2	no	—
1207	C₄	—	6	2	no	—
1208	C₄	C₂×C₃×D₃×D₄	1	2	yes	—
1209	C₄	C₂×C₃×D₃×D₄	1	2	yes	—
1210	C₃	—	2	1	no	—
1211	C₃	#85949	1	1	yes	characteristic, direct product factor
1212	C₃	C₃×#3488	1	1	yes	characteristic, complemented
1213	C₂	—	2	2	no	—
1214	C₂	—	2	2	no	—
1215	C₂	—	4	1	no	—
1216	C₂	—	4	4	no	—
1217	C₂	—	6	4	no	—
1218	C₂	—	12	2	no	—
1219	C₂	—	12	2	no	—
1220	C₂	C₂²×C₃×D₃×D₄	1	1	yes	characteristic
1221	C₂	C₂×C₃×#1004	1	1	yes	characteristic
1222	C₂	C₃×#5964	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂⁴×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₃
Fitting	C₂×C₃²×#121	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₂×C₃×#121	D₃
hypocenter	C₃	C₃×#3488
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₂×C₃×#121

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×#1004	C₂	semidirect
2. C₂²×C₃×#235	C₂	semidirect
3. C₂×C₃²×#121	C₂	semidirect
4. C₃×#5805	C₂	semidirect
5. C₃×D₄×#67	C₂	semidirect
6. C₃×#5791	C₂	semidirect
7. C₃×#5612	C₂	semidirect
8. C₃×#5609	C₂	semidirect
9. C₃×#5608	C₂	semidirect
10. C₃×#5607	C₂	semidirect
11. C₃×#5606	C₂	semidirect
12. C₃×D₃×#121	C₂	semidirect
13. C₃×#5599	C₂	semidirect
14. C₃×#5598	C₂	semidirect
15. C₃×#5510	C₂	semidirect
16. C₃×#5504	C₂	semidirect
17. C₃×#5490	C₂	semidirect
19. #85949	C₃	direct (N × H)
20. C₂²×C₃²×D₄	C₂²	semidirect
21. C₂²×C₃²×D₄	C₂²	semidirect
22. C₂³×C₃²×C₄	C₂²	semidirect
23. C₂²×C₃×#67	C₂²	semidirect
24. C₂²×C₃×#67	C₂²	semidirect
26. C₂×C₃×#237	C₂²	semidirect
27. C₂×C₃×#237	C₂²	semidirect
28. C₂×C₃×D₃×D₄	C₂²	semidirect
29. C₂×C₃×D₃×D₄	C₂²	semidirect
30. C₂×C₃×D₃×D₄	C₂²	semidirect
33. C₂×C₃×#235	C₂²	semidirect
34. C₂×C₃×#235	C₂²	semidirect
35. C₂×C₃×#235	C₂²	semidirect
36. C₂×C₃×#235	C₂²	semidirect
37. C₂×C₃×#235	C₂²	semidirect
38. C₂×C₃×#235	C₂²	semidirect
39. C₂²×C₃×D₁₂	C₂²	semidirect
40. C₂²×C₃×C₄×D₃	C₂²	semidirect
41. C₂²×C₃×Dic₆	C₂²	semidirect
42. C₃²×#121	C₂²	semidirect
43. C₃²×#121	C₂²	semidirect
44. C₃²×#121	C₂²	semidirect
45. C₃²×#121	C₂²	semidirect
46. C₂×C₃²×C₄⋊C₄	C₂²	semidirect
47. C₂×C₃²×C₂²⋊C₄	C₂²	semidirect
48. C₃×#953	C₂²	semidirect
49. C₃×#953	C₂²	semidirect
50. C₃×#940	C₂²	semidirect
51. C₃×#940	C₂²	semidirect
52. C₃×#939	C₂²	semidirect
53. C₃×#939	C₂²	semidirect
54. C₃×#938	C₂²	semidirect
55. C₃×#938	C₂²	semidirect
56. C₃×#938	C₂²	semidirect
57. C₃×#937	C₂²	semidirect
58. C₃×#937	C₂²	semidirect
59. C₃×#936	C₂²	semidirect
60. C₃×D₄×Dic₃	C₂²	semidirect
61. C₃×#930	C₂²	semidirect
62. C₃×#930	C₂²	semidirect
63. C₃×#930	C₂²	semidirect
64. C₃×#929	C₂²	semidirect
65. C₃×C₄×#67	C₂²	semidirect
66. C₃×C₄×#67	C₂²	semidirect
67. C₃×C₄×#67	C₂²	semidirect
68. C₃×#926	C₂²	semidirect
69. C₃×#924	C₂²	semidirect
70. C₃×#924	C₂²	semidirect
71. C₃×#897	C₂²	semidirect
72. C₃×#897	C₂²	semidirect
73. C₃×#895	C₂²	semidirect
74. C₃×#895	C₂²	semidirect
75. C₃×#893	C₂²	semidirect
76. C₃×#892	C₂²	semidirect
77. C₃×D₃×C₄⋊C₄	C₂²	semidirect
78. C₃×#887	C₂²	semidirect
79. C₃×#885	C₂²	semidirect
80. C₃×#884	C₂²	semidirect
81. C₃×#884	C₂²	semidirect
82. C₃×#883	C₂²	semidirect
83. C₃×#882	C₂²	semidirect
84. C₃×#67⋊C₄	C₂²	semidirect
85. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
86. C₃×#878	C₂²	semidirect
89. C₂×#1004	C₂×C₃	semidirect
90. C₂²×#235	C₂×C₃	semidirect
105. C₂×C₃×#121	D₃	semidirect
106. C₂×C₃×#121	C₂×C₃	semidirect
108. #5805	C₂×C₃	semidirect
109. D₄×#67	C₂×C₃	semidirect
110. #5791	C₂×C₃	semidirect
111. #5612	C₂×C₃	semidirect
112. #5609	C₂×C₃	semidirect
113. #5608	C₂×C₃	semidirect
114. #5607	C₂×C₃	semidirect
115. #5606	C₂×C₃	semidirect
116. D₃×#121	C₂×C₃	semidirect
117. #5599	C₂×C₃	semidirect
118. #5598	C₂×C₃	semidirect
119. #5510	C₂×C₃	semidirect
120. #5504	C₂×C₃	semidirect
121. #5490	C₂×C₃	semidirect
166. C₃×#235	D₄	semidirect
228. C₂²×C₃×D₄	C₂×D₃	semidirect
229. C₂²×C₃×D₄	C₂×D₃	semidirect
230. C₂²×C₃×D₄	C₂²×C₃	semidirect
231. C₂²×C₃×D₄	C₂²×C₃	semidirect
234. C₂³×C₃×C₄	C₂×D₃	semidirect
235. C₂³×C₃×C₄	C₂²×C₃	semidirect
236. C₂²×#67	C₂²×C₃	semidirect
237. C₂²×#67	C₂²×C₃	semidirect
239. C₂×#237	C₂²×C₃	semidirect
240. C₂×#237	C₂²×C₃	semidirect
241. C₂×D₃×D₄	C₂²×C₃	semidirect
242. C₂×D₃×D₄	C₂²×C₃	semidirect
243. C₂×D₃×D₄	C₂²×C₃	semidirect
246. C₂×#235	C₂²×C₃	semidirect
247. C₂×#235	C₂²×C₃	semidirect
248. C₂×#235	C₂²×C₃	semidirect
249. C₂×#235	C₂²×C₃	semidirect
250. C₂×#235	C₂²×C₃	semidirect
251. C₂×#235	C₂²×C₃	semidirect
252. C₂²×D₁₂	C₂²×C₃	semidirect
253. C₂²×C₄×D₃	C₂²×C₃	semidirect
254. C₂²×Dic₆	C₂²×C₃	semidirect
282. C₃×#121	C₂×D₃	semidirect
283. C₃×#121	C₂×D₃	semidirect
284. C₃×#121	C₂×D₃	semidirect
285. C₃×#121	C₂×D₃	semidirect
286. C₃×#121	C₂²×C₃	semidirect
287. C₃×#121	C₂²×C₃	semidirect
288. C₃×#121	C₂²×C₃	semidirect
289. C₃×#121	C₂²×C₃	semidirect
306. C₂×C₃×C₄⋊C₄	C₂×D₃	semidirect
307. C₂×C₃×C₄⋊C₄	C₂²×C₃	semidirect
310. C₂×C₃×C₂²⋊C₄	C₂×D₃	semidirect
311. C₂×C₃×C₂²⋊C₄	C₂²×C₃	semidirect
312. #953	C₂²×C₃	semidirect
313. #953	C₂²×C₃	semidirect
314. #940	C₂²×C₃	semidirect
315. #940	C₂²×C₃	semidirect
316. #939	C₂²×C₃	semidirect
317. #939	C₂²×C₃	semidirect
318. #938	C₂²×C₃	semidirect
319. #938	C₂²×C₃	semidirect
320. #938	C₂²×C₃	semidirect
321. #937	C₂²×C₃	semidirect
322. #937	C₂²×C₃	semidirect
323. #936	C₂²×C₃	semidirect
324. D₄×Dic₃	C₂²×C₃	semidirect
325. #930	C₂²×C₃	semidirect
326. #930	C₂²×C₃	semidirect
327. #930	C₂²×C₃	semidirect
328. #929	C₂²×C₃	semidirect
329. C₄×#67	C₂²×C₃	semidirect
330. C₄×#67	C₂²×C₃	semidirect
331. C₄×#67	C₂²×C₃	semidirect
332. #926	C₂²×C₃	semidirect
333. #924	C₂²×C₃	semidirect
334. #924	C₂²×C₃	semidirect
335. #897	C₂²×C₃	semidirect
336. #897	C₂²×C₃	semidirect
337. #895	C₂²×C₃	semidirect
338. #895	C₂²×C₃	semidirect
339. #893	C₂²×C₃	semidirect
340. #892	C₂²×C₃	semidirect
341. D₃×C₄⋊C₄	C₂²×C₃	semidirect
342. #887	C₂²×C₃	semidirect
343. #885	C₂²×C₃	semidirect
344. #884	C₂²×C₃	semidirect
345. #884	C₂²×C₃	semidirect
346. #883	C₂²×C₃	semidirect
347. #882	C₂²×C₃	semidirect
348. #67⋊C₄	C₂²×C₃	semidirect
349. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
350. #878	C₂²×C₃	semidirect
380. C₂×C₃²×C₄	C₂×D₄	semidirect
396. C₃×#67	C₂×D₄	semidirect
408. C₃×D₁₂	C₂×D₄	semidirect
414. C₃×C₄×D₃	C₂×D₄	semidirect
418. C₃×Dic₆	C₂×D₄	semidirect
434. C₂×#121	C₃×D₃	semidirect
559. #235	C₃×D₄	semidirect
639. C₂²×C₃²	H(5,𝔽₂)	semidirect
680. C₂²×D₄	C₂×C₃×D₃	semidirect
681. C₂²×D₄	C₂×C₃×D₃	semidirect
683. C₂³×C₄	C₂×C₃×D₃	semidirect
707. #121	C₂×C₃×D₃	semidirect
708. #121	C₂×C₃×D₃	semidirect
709. #121	C₂×C₃×D₃	semidirect
710. #121	C₂×C₃×D₃	semidirect
726. C₂×C₄⋊C₄	C₂×C₃×D₃	semidirect
728. C₂×C₂²⋊C₄	C₂×C₃×D₃	semidirect
846. C₂×C₃×C₄	D₃×D₄	semidirect
847. C₂×C₃×C₄	C₂×C₃×D₄	semidirect
868. #67	C₂×C₃×D₄	semidirect
880. D₁₂	C₂×C₃×D₄	semidirect
886. C₄×D₃	C₂×C₃×D₄	semidirect
890. Dic₆	C₂×C₃×D₄	semidirect
1037. C₂²×C₃	#1004	semidirect
1039. C₂²×C₃	C₃×H(5,𝔽₂)	semidirect
1078. C₃²	#3488	semidirect
1141. C₂×C₄	C₃×D₃×D₄	semidirect
1198. C₂²	C₃×#1004	semidirect
1211. C₃	#85949	direct (N × H)
1212. C₃	C₃×#3488	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×#1004	2
C₂²×C₃×#235	2
C₂×C₃²×#121	2
C₃×#5805	2
C₃×D₄×#67	2
C₃×#5791	2
C₃×#5612	2
C₃×#5609	2
C₃×#5608	2
C₃×#5607	2
C₃×#5606	2
C₃×D₃×#121	2
C₃×#5599	2
C₃×#5598	2
C₃×#5510	2
C₃×#5504	2
C₃×#5490	2
C₃×#3488	3
#85949	3

Subgroups — C3×#85949 #11904600

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#85949 #11904600