Subgroups — C₃×#86144 #11918331

Order 1152.

2033 conjugacy classes of subgroups.

The subgroup lattice has 1183 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃²×#529	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#5705	C₂	1	2	yes	maximal, complemented
3	C₃×#5702	C₂	1	2	yes	maximal, complemented
4	C₃×#5699	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#5699	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#5683	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#5672	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#5662	C₂	1	2	yes	maximal, complemented
9	C₃×#5657	C₂	1	2	yes	maximal, complemented
10	C₃×#5640	C₂	1	2	yes	maximal, complemented
11	C₃×#5613	C₂	1	2	yes	maximal, complemented
12	C₃×#5568	C₂	1	2	yes	maximal, complemented
13	C₃×#5561	C₂	1	2	yes	maximal, complemented
14	C₃×#5560	C₂	1	2	yes	maximal, complemented
15	C₃×#5556	C₂	1	2	yes	maximal, complemented
16	C₃×#5533	C₂	1	2	yes	maximal, complemented
17	C₃×#5527	C₂	1	2	yes	maximal, complemented
18	C₃×#5479	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#5479	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#3568	—	3	1	no	maximal
21	#86144	C₃	1	1	yes	maximal, characteristic, direct product factor
22	C₃²×#126	C₂²	1	2	yes	complemented
23	C₃²×#125	C₂²	1	1	yes	characteristic, complemented
24	C₃²×#124	C₂²	1	1	yes	characteristic
25	C₃²×#123	C₂²	1	2	yes	complemented
26	C₃²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
27	C₃²×#121	C₂²	1	1	yes	characteristic
28	C₃²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
29	C₃²×C₄×D₄	C₂²	1	1	yes	characteristic
30	C₃²×C₄×D₄	C₂²	1	2	yes	complemented
31	C₃²×#117	C₂²	1	2	yes	complemented
32	C₂×C₃²×C₄²	C₂²	1	1	yes	characteristic, complemented
33	C₃×#947	C₂²	1	2	yes	—
34	C₃×#944	C₂²	1	2	yes	complemented
35	C₃×#939	C₂²	1	2	yes	—
36	C₃×#938	C₂²	1	2	yes	—
37	C₃×#937	C₂²	1	2	yes	—
38	C₃×#937	C₂²	1	2	yes	complemented
39	C₃×#936	C₂²	1	2	yes	complemented
40	C₃×#935	C₂²	1	2	yes	—
41	C₃×#930	C₂²	1	1	yes	characteristic
42	C₃×#930	C₂²	1	1	yes	characteristic
43	C₃×#929	C₂²	1	2	yes	—
44	C₃×#929	C₂²	1	2	yes	complemented
45	C₃×#929	C₂²	1	2	yes	complemented
46	C₃×C₄×#67	C₂²	1	2	yes	—
47	C₃×C₄×#67	C₂²	1	2	yes	complemented
48	C₃×C₄×#67	C₂²	1	2	yes	complemented
49	C₂×C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	complemented
50	C₃×#924	C₂²	1	2	yes	complemented
51	C₃×#924	C₂²	1	1	yes	characteristic, complemented
52	C₃×#924	C₂²	1	1	yes	characteristic, complemented
53	C₃×#898	C₂²	1	2	yes	complemented
54	C₃×#898	C₂²	1	2	yes	complemented
55	C₃×#898	C₂²	1	2	yes	complemented
56	C₃×#898	C₂²	1	2	yes	complemented
57	C₃×#898	C₂²	1	2	yes	complemented
58	C₃×#897	C₂²	1	2	yes	complemented
59	C₃×#897	C₂²	1	2	yes	complemented
60	C₃×#896	C₂²	1	2	yes	complemented
61	C₃×#896	C₂²	1	2	yes	complemented
62	C₃×#896	C₂²	1	2	yes	complemented
63	C₃×#896	C₂²	1	2	yes	complemented
64	C₃×#894	C₂²	1	2	yes	—
65	C₃×#894	C₂²	1	2	yes	—
66	C₃×#894	C₂²	1	2	yes	—
67	C₃×#893	C₂²	1	2	yes	—
68	C₃×#892	C₂²	1	2	yes	complemented
69	C₃×#888	C₂²	1	2	yes	complemented
70	C₃×#888	C₂²	1	2	yes	complemented
71	C₃×#887	C₂²	1	2	yes	complemented
72	C₃×#887	C₂²	1	2	yes	complemented
73	C₃×#885	C₂²	1	2	yes	—
74	C₃×#885	C₂²	1	2	yes	—
75	C₃×#885	C₂²	1	2	yes	—
76	C₃×#885	C₂²	1	2	yes	—
77	C₃×#885	C₂²	1	2	yes	complemented
78	C₃×#885	C₂²	1	2	yes	complemented
79	C₃×#884	C₂²	1	2	yes	—
80	C₃×#883	C₂²	1	2	yes	—
81	C₃×#882	C₂²	1	2	yes	—
82	C₃×#882	C₂²	1	2	yes	—
83	C₃×#67⋊C₄	C₂²	1	2	yes	—
84	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
85	C₃×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
86	C₃×#879	C₂²	1	2	yes	complemented
87	C₃×#879	C₂²	1	2	yes	complemented
88	C₃×#879	C₂²	1	2	yes	complemented
89	C₃×#879	C₂²	1	2	yes	complemented
90	C₃×#878	C₂²	1	2	yes	complemented
91	C₃×#878	C₂²	1	2	yes	complemented
92	C₃×#877	C₂²	1	2	yes	complemented
93	C₃×#876	C₂²	1	2	yes	complemented
94	C₃×#876	C₂²	1	2	yes	complemented
95	C₃×#876	C₂²	1	2	yes	complemented
96	C₃×#875	C₂²	1	2	yes	—
97	C₃×#875	C₂²	1	1	yes	characteristic
98	C₃×#875	C₂²	1	1	yes	characteristic
99	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic
100	C₃×C₄×D₁₂	C₂²	1	1	yes	characteristic
101	C₃×#872	C₂²	1	2	yes	complemented
102	C₃×#872	C₂²	1	2	yes	complemented
103	C₃×#872	C₂²	1	2	yes	complemented
104	C₃×#870	C₂²	1	1	yes	characteristic, complemented
105	C₃×#870	C₂²	1	1	yes	characteristic, complemented
106	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
107	C₃×C₄×Dic₆	C₂²	1	2	yes	complemented
108	C₃×C₄×Dic₆	C₂²	1	1	yes	characteristic, complemented
109	C₃×#563	—	3	1	no	—
110	C₃×#563	—	3	1	no	—
111	C₃×#563	—	3	1	no	—
112	C₃×H(3,𝔽₄)	—	3	1	no	—
113	C₃×#556	—	3	2	no	—
114	C₃×#556	—	3	2	no	—
115	C₃×#556	—	3	2	no	—
116	C₃×#551	—	3	2	no	—
117	C₃×#551	—	3	2	no	—
118	C₃×#551	—	3	2	no	—
119	C₃×#542	—	3	2	no	—
120	C₃×#542	—	3	2	no	—
121	C₃×#542	—	3	2	no	—
122	C₃×#538	—	3	2	no	—
123	C₃×#538	—	3	2	no	—
124	C₃×#538	—	3	2	no	—
125	C₃×#529	—	2	1	no	—
126	C₃×#529	—	3	1	no	—
127	C₃×#529	—	3	1	no	—
128	C₃×#529	D₃	1	1	yes	characteristic, complemented
129	C₃×#529	C₂×C₃	1	1	yes	characteristic, complemented
130	#5705	C₂×C₃	1	2	yes	complemented
131	#5702	C₂×C₃	1	2	yes	complemented
132	#5699	C₂×C₃	1	1	yes	characteristic, complemented
133	#5699	C₂×C₃	1	1	yes	characteristic, complemented
134	#5683	C₂×C₃	1	1	yes	characteristic, complemented
135	#5672	C₂×C₃	1	1	yes	characteristic, complemented
136	#5662	C₂×C₃	1	2	yes	complemented
137	#5657	C₂×C₃	1	2	yes	complemented
138	#5640	C₂×C₃	1	2	yes	complemented
139	#5613	C₂×C₃	1	2	yes	complemented
140	#5568	C₂×C₃	1	2	yes	complemented
141	#5561	C₂×C₃	1	2	yes	complemented
142	#5560	C₂×C₃	1	2	yes	complemented
143	#5556	C₂×C₃	1	2	yes	complemented
144	#5533	C₂×C₃	1	2	yes	complemented
145	#5527	C₂×C₃	1	2	yes	complemented
146	#5479	C₂×C₃	1	1	yes	characteristic, complemented
147	#5479	C₂×C₃	1	1	yes	characteristic, complemented
148	C₂³×C₃×D₃	C₂³	1	2	yes	—
149	C₂×C₃²×Q₈	C₂³	1	1	yes	characteristic
150	C₂×C₃²×D₄	C₂³	1	1	yes	characteristic
151	C₂×C₃²×D₄	C₂³	1	2	yes	—
152	C₂²×C₃²×C₄	C₂³	1	2	yes	—
153	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
154	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
155	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
156	C₂×C₃×#67	C₂³	1	2	yes	—
157	C₂×C₃×#67	C₂³	1	2	yes	—
158	C₂×C₃×#67	C₂³	1	2	yes	—
159	C₂×C₃×#67	C₂³	1	2	yes	—
160	C₂²×C₃×Dic₃	C₂³	1	2	yes	—
161	C₂×C₃×D₁₂	C₂³	1	2	yes	—
162	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
163	C₂×C₃×D₁₂	C₂³	1	1	yes	characteristic
164	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
165	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
166	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
167	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
168	C₂×C₃×Dic₆	C₂³	1	2	yes	—
169	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
170	C₂×C₃×Dic₆	C₂³	1	1	yes	characteristic
171	C₂×C₃×Dic₆	C₂³	1	2	yes	—
172	C₂×C₃×Dic₆	C₂³	1	2	yes	—
173	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
174	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
175	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
176	C₃²×C₄⋊C₄	C₂³	1	2	yes	—
177	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
178	C₃²×C₄⋊C₄	C₂³	1	1	yes	characteristic
179	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
180	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
181	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
182	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
183	C₃²×C₂²⋊C₄	C₂³	1	2	yes	—
184	C₃²×C₄²	C₂³	1	1	yes	characteristic
185	C₃²×C₄²	C₂³	1	1	yes	characteristic
186	C₃²×C₄²	C₂³	1	1	yes	characteristic
187	C₃²×C₄²	C₂³	1	1	yes	characteristic
188	C₃²×C₄²	C₂³	1	2	yes	—
189	C₃×#217	C₂³	1	2	yes	—
190	C₃×#217	C₂³	1	2	yes	—
191	C₃×#217	C₂³	1	2	yes	—
192	C₃×#217	C₂³	1	2	yes	—
193	C₃×#217	C₂³	1	2	yes	—
194	C₃×#217	C₂³	1	2	yes	—
195	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
196	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
197	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
198	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
199	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
200	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
201	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
202	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
203	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
204	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
205	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
206	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
207	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
208	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
209	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
210	C₃×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
211	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
212	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
213	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
214	C₃×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
215	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
216	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
217	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
218	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
219	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
220	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
221	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
222	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
223	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
224	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
225	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
226	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
227	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
228	C₃×Dic₃⋊C₄	C₂³	1	2	yes	—
229	C₃×C₄×Dic₃	C₂³	1	2	yes	—
230	C₃×C₄×Dic₃	C₂³	1	2	yes	—
231	C₃×C₄×Dic₃	C₂³	1	2	yes	—
232	C₃×C₄×Dic₃	C₂³	1	2	yes	—
233	C₃×C₄×Dic₃	C₂³	1	2	yes	—
234	C₃×C₄×Dic₃	C₂³	1	2	yes	—
235	#3568	—	3	1	no	Sylow
236	C₃×C₄⋊Q₈	—	3	2	no	—
237	C₃×C₄⋊Q₈	—	3	2	no	—
238	C₃×C₄⋊Q₈	—	3	2	no	—
239	C₃×#126	—	2	2	no	—
240	C₃×#126	—	3	2	no	—
241	C₃×#126	—	3	2	no	—
242	C₃×#126	—	3	2	no	—
243	C₃×#126	—	3	2	no	—
244	C₃×#126	—	3	2	no	—
245	C₃×#126	—	3	2	no	—
246	C₃×#126	—	3	2	no	—
247	C₃×#126	—	3	2	no	—
248	C₃×#126	—	3	2	no	—
249	C₃×#126	—	3	2	no	—
250	C₃×#126	—	3	2	no	—
251	C₃×#126	—	3	2	no	—
252	C₃×#126	C₂×D₃	1	2	yes	complemented
253	C₃×#126	C₂²×C₃	1	2	yes	complemented
254	C₃×#125	—	2	1	no	—
255	C₃×#125	—	3	1	no	—
256	C₃×#125	—	3	1	no	—
257	C₃×#125	C₂×D₃	1	1	yes	characteristic, complemented
258	C₃×#125	C₂²×C₃	1	1	yes	characteristic, complemented
259	C₃×#124	—	2	1	no	—
260	C₃×#124	—	3	2	no	—
261	C₃×#124	—	3	2	no	—
262	C₃×#124	—	3	2	no	—
263	C₃×#124	—	3	2	no	—
264	C₃×#124	—	3	2	no	—
265	C₃×#124	—	3	2	no	—
266	C₃×#124	—	3	2	no	—
267	C₃×#124	—	3	2	no	—
268	C₃×#124	—	3	1	no	—
269	C₃×#124	—	3	1	no	—
270	C₃×#124	—	3	2	no	—
271	C₃×#124	C₂×D₃	1	1	yes	characteristic
272	C₃×#124	C₂²×C₃	1	1	yes	characteristic
273	C₃×#123	—	2	2	no	—
274	C₃×#123	—	3	2	no	—
275	C₃×#123	—	3	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	C₂×D₃	1	2	yes	complemented
283	C₃×#123	C₂²×C₃	1	2	yes	complemented
284	C₃×C₂²⋊Q₈	—	2	1	no	—
285	C₃×C₂²⋊Q₈	—	3	1	no	—
286	C₃×C₂²⋊Q₈	—	3	1	no	—
287	C₃×C₂²⋊Q₈	—	3	2	no	—
288	C₃×C₂²⋊Q₈	—	3	2	no	—
289	C₃×C₂²⋊Q₈	—	3	2	no	—
290	C₃×C₂²⋊Q₈	—	3	2	no	—
291	C₃×C₂²⋊Q₈	—	3	2	no	—
292	C₃×C₂²⋊Q₈	—	3	2	no	—
293	C₃×C₂²⋊Q₈	—	3	2	no	—
294	C₃×C₂²⋊Q₈	—	3	2	no	—
295	C₃×C₂²⋊Q₈	—	3	2	no	—
296	C₃×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
297	C₃×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
298	C₃×#121	—	2	1	no	—
299	C₃×#121	—	3	2	no	—
300	C₃×#121	—	3	2	no	—
301	C₃×#121	—	3	1	no	—
302	C₃×#121	—	3	1	no	—
303	C₃×#121	—	3	2	no	—
304	C₃×#121	C₂×D₃	1	1	yes	characteristic
305	C₃×#121	C₂²×C₃	1	1	yes	characteristic
306	C₃×#120	—	3	2	no	—
307	C₃×#120	—	3	2	no	—
308	C₃×#120	—	3	2	no	—
309	C₃×#120	—	3	2	no	—
310	C₃×C₄×Q₈	—	2	1	no	—
311	C₃×C₄×Q₈	—	3	2	no	—
312	C₃×C₄×Q₈	—	3	2	no	—
313	C₃×C₄×Q₈	—	3	1	no	—
314	C₃×C₄×Q₈	—	3	1	no	—
315	C₃×C₄×Q₈	—	3	2	no	—
316	C₃×C₄×Q₈	C₂×D₃	1	1	yes	characteristic, complemented
317	C₃×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
318	C₃×C₄×D₄	—	2	1	no	—
319	C₃×C₄×D₄	—	2	2	no	—
320	C₃×C₄×D₄	—	3	2	no	—
321	C₃×C₄×D₄	—	3	2	no	—
322	C₃×C₄×D₄	—	3	2	no	—
323	C₃×C₄×D₄	—	3	2	no	—
324	C₃×C₄×D₄	—	3	2	no	—
325	C₃×C₄×D₄	—	3	1	no	—
326	C₃×C₄×D₄	—	3	1	no	—
327	C₃×C₄×D₄	C₂×D₃	1	1	yes	characteristic
328	C₃×C₄×D₄	C₂×D₃	1	2	yes	complemented
329	C₃×C₄×D₄	C₂²×C₃	1	1	yes	characteristic
330	C₃×C₄×D₄	C₂²×C₃	1	2	yes	complemented
331	C₃×#117	—	2	2	no	—
332	C₃×#117	—	3	2	no	—
333	C₃×#117	—	3	2	no	—
334	C₃×#117	—	3	2	no	—
335	C₃×#117	—	3	2	no	—
336	C₃×#117	—	3	2	no	—
337	C₃×#117	C₂×D₃	1	2	yes	complemented
338	C₃×#117	C₂²×C₃	1	2	yes	complemented
339	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
340	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
341	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
342	C₂×C₃×C₄²	—	2	1	no	—
343	C₂×C₃×C₄²	C₂×D₃	1	1	yes	characteristic, complemented
344	C₂×C₃×C₄²	C₂²×C₃	1	1	yes	characteristic, complemented
345	#947	C₂²×C₃	1	2	yes	—
346	#944	C₂²×C₃	1	2	yes	complemented
347	#939	C₂²×C₃	1	2	yes	—
348	#938	C₂²×C₃	1	2	yes	—
349	#937	C₂²×C₃	1	2	yes	—
350	#937	C₂²×C₃	1	2	yes	complemented
351	#936	C₂²×C₃	1	2	yes	complemented
352	#935	C₂²×C₃	1	2	yes	—
353	#930	C₂²×C₃	1	1	yes	characteristic
354	#930	C₂²×C₃	1	1	yes	characteristic
355	#929	C₂²×C₃	1	2	yes	—
356	#929	C₂²×C₃	1	2	yes	complemented
357	#929	C₂²×C₃	1	2	yes	complemented
358	C₄×#67	C₂²×C₃	1	2	yes	—
359	C₄×#67	C₂²×C₃	1	2	yes	complemented
360	C₄×#67	C₂²×C₃	1	2	yes	complemented
361	C₂×(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	complemented
362	#924	C₂²×C₃	1	1	yes	characteristic, complemented
363	#924	C₂²×C₃	1	1	yes	characteristic, complemented
364	#924	C₂²×C₃	1	2	yes	complemented
365	#898	C₂²×C₃	1	2	yes	complemented
366	#898	C₂²×C₃	1	2	yes	complemented
367	#898	C₂²×C₃	1	2	yes	complemented
368	#898	C₂²×C₃	1	2	yes	complemented
369	#898	C₂²×C₃	1	2	yes	complemented
370	#897	C₂²×C₃	1	2	yes	complemented
371	#897	C₂²×C₃	1	2	yes	complemented
372	#896	C₂²×C₃	1	2	yes	complemented
373	#896	C₂²×C₃	1	2	yes	complemented
374	#896	C₂²×C₃	1	2	yes	complemented
375	#896	C₂²×C₃	1	2	yes	complemented
376	#894	C₂²×C₃	1	2	yes	—
377	#894	C₂²×C₃	1	2	yes	—
378	#894	C₂²×C₃	1	2	yes	—
379	#893	C₂²×C₃	1	2	yes	—
380	#892	C₂²×C₃	1	2	yes	complemented
381	#888	C₂²×C₃	1	2	yes	complemented
382	#888	C₂²×C₃	1	2	yes	complemented
383	#887	C₂²×C₃	1	2	yes	complemented
384	#887	C₂²×C₃	1	2	yes	complemented
385	#885	C₂²×C₃	1	2	yes	—
386	#885	C₂²×C₃	1	2	yes	—
387	#885	C₂²×C₃	1	2	yes	—
388	#885	C₂²×C₃	1	2	yes	—
389	#885	C₂²×C₃	1	2	yes	complemented
390	#885	C₂²×C₃	1	2	yes	complemented
391	#884	C₂²×C₃	1	2	yes	—
392	#883	C₂²×C₃	1	2	yes	—
393	#882	C₂²×C₃	1	2	yes	—
394	#882	C₂²×C₃	1	2	yes	—
395	#67⋊C₄	C₂²×C₃	1	2	yes	—
396	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
397	D₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
398	#879	C₂²×C₃	1	2	yes	complemented
399	#879	C₂²×C₃	1	2	yes	complemented
400	#879	C₂²×C₃	1	2	yes	complemented
401	#879	C₂²×C₃	1	2	yes	complemented
402	#878	C₂²×C₃	1	2	yes	complemented
403	#878	C₂²×C₃	1	2	yes	complemented
404	#877	C₂²×C₃	1	2	yes	complemented
405	#876	C₂²×C₃	1	2	yes	complemented
406	#876	C₂²×C₃	1	2	yes	complemented
407	#876	C₂²×C₃	1	2	yes	complemented
408	#875	C₂²×C₃	1	1	yes	characteristic
409	#875	C₂²×C₃	1	1	yes	characteristic
410	#875	C₂²×C₃	1	2	yes	—
411	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic
412	C₄×D₁₂	C₂²×C₃	1	1	yes	characteristic
413	#872	C₂²×C₃	1	2	yes	complemented
414	#872	C₂²×C₃	1	2	yes	complemented
415	#872	C₂²×C₃	1	2	yes	complemented
416	#870	C₂²×C₃	1	1	yes	characteristic, complemented
417	#870	C₂²×C₃	1	1	yes	characteristic, complemented
418	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
419	C₄×Dic₆	C₂²×C₃	1	1	yes	characteristic, complemented
420	C₄×Dic₆	C₂²×C₃	1	2	yes	complemented
421	C₂³×C₃²	C₂⁴	1	2	yes	—
422	C₂³×C₃²	C₂⁴	1	1	yes	characteristic
423	C₂²×C₃×D₃	—	4	2	no	—
424	C₂²×C₃×D₃	—	4	2	no	—
425	C₂²×C₃×D₃	—	4	2	no	—
426	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
427	C₂²×C₃×D₃	C₂⁴	1	2	yes	—
428	C₃²×Q₈	—	4	1	no	—
429	C₃²×D₄	—	4	1	no	—
430	C₃²×D₄	—	4	2	no	—
431	C₂×C₃²×C₄	—	4	2	no	—
432	C₂×C₃²×C₄	—	4	1	no	—
433	C₂×C₃²×C₄	—	4	1	no	—
434	C₂×C₃²×C₄	—	4	1	no	—
435	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
436	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
437	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
438	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
439	C₂×C₃²×C₄	C₂⁴	1	2	yes	—
440	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
441	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
442	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
443	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
444	C₃×#67	—	4	2	no	—
445	C₃×#67	—	4	2	no	—
446	C₃×#67	—	4	2	no	—
447	C₃×#67	—	4	2	no	—
448	C₂×C₃×Dic₃	—	4	2	no	—
449	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
450	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
451	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
452	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
453	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
454	C₂×C₃×Dic₃	C₂⁴	1	2	yes	—
455	C₃×D₁₂	—	4	1	no	—
456	C₃×D₁₂	—	4	1	no	—
457	C₃×D₁₂	—	4	2	no	—
458	C₃×C₄×D₃	—	4	2	no	—
459	C₃×C₄×D₃	—	4	2	no	—
460	C₃×C₄×D₃	—	4	2	no	—
461	C₃×C₄×D₃	—	4	2	no	—
462	C₃×Dic₆	—	4	1	no	—
463	C₃×Dic₆	—	4	1	no	—
464	C₃×Dic₆	—	4	2	no	—
465	C₃×Dic₆	—	4	2	no	—
466	C₃×Dic₆	—	4	2	no	—
467	#563	—	3	1	no	—
468	#563	—	3	1	no	—
469	#563	—	3	1	no	—
470	H(3,𝔽₄)	—	3	1	no	—
471	#556	—	3	2	no	—
472	#556	—	3	2	no	—
473	#556	—	3	2	no	—
474	#551	—	3	2	no	—
475	#551	—	3	2	no	—
476	#551	—	3	2	no	—
477	#542	—	3	2	no	—
478	#542	—	3	2	no	—
479	#542	—	3	2	no	—
480	#538	—	3	2	no	—
481	#538	—	3	2	no	—
482	#538	—	3	2	no	—
483	#529	—	3	1	no	—
484	#529	—	3	1	no	—
485	#529	C₃×D₃	1	1	yes	characteristic, complemented
486	C₂⁴×C₃	—	3	2	no	—
487	C₂³×D₃	C₂³×C₃	1	2	yes	—
488	C₂×C₃×Q₈	—	2	1	no	—
489	C₂×C₃×Q₈	—	3	2	no	—
490	C₂×C₃×Q₈	—	3	2	no	—
491	C₂×C₃×Q₈	—	3	2	no	—
492	C₂×C₃×Q₈	—	3	1	no	—
493	C₂×C₃×Q₈	—	3	1	no	—
494	C₂×C₃×Q₈	C₂²×D₃	1	1	yes	characteristic
495	C₂×C₃×Q₈	C₂³×C₃	1	1	yes	characteristic
496	C₂×C₃×D₄	—	2	2	no	—
497	C₂×C₃×D₄	—	2	1	no	—
498	C₂×C₃×D₄	—	3	2	no	—
499	C₂×C₃×D₄	—	3	2	no	—
500	C₂×C₃×D₄	—	3	2	no	—
501	C₂×C₃×D₄	—	3	2	no	—
502	C₂×C₃×D₄	—	3	1	no	—
503	C₂×C₃×D₄	—	3	1	no	—
504	C₂×C₃×D₄	—	3	2	no	—
505	C₂×C₃×D₄	C₂²×D₃	1	1	yes	characteristic
506	C₂×C₃×D₄	C₂²×D₃	1	2	yes	—
507	C₂×C₃×D₄	C₂³×C₃	1	1	yes	characteristic
508	C₂×C₃×D₄	C₂³×C₃	1	2	yes	—
509	C₂²×C₃×C₄	—	2	1	no	—
510	C₂²×C₃×C₄	—	2	1	no	—
511	C₂²×C₃×C₄	—	2	1	no	—
512	C₂²×C₃×C₄	—	2	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	2	no	—
517	C₂²×C₃×C₄	—	3	2	no	—
518	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
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	2	yes	—
522	C₂²×C₃×C₄	C₂³×C₃	1	2	yes	—
523	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
524	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
525	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
526	C₂×#67	C₂³×C₃	1	2	yes	—
527	C₂×#67	C₂³×C₃	1	2	yes	—
528	C₂×#67	C₂³×C₃	1	2	yes	—
529	C₂×#67	C₂³×C₃	1	2	yes	—
530	C₂²×Dic₃	C₂³×C₃	1	2	yes	—
531	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
532	C₂×D₁₂	C₂³×C₃	1	1	yes	characteristic
533	C₂×D₁₂	C₂³×C₃	1	2	yes	—
534	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
535	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
536	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
537	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
538	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
539	C₂×Dic₆	C₂³×C₃	1	1	yes	characteristic
540	C₂×Dic₆	C₂³×C₃	1	2	yes	—
541	C₂×Dic₆	C₂³×C₃	1	2	yes	—
542	C₂×Dic₆	C₂³×C₃	1	2	yes	—
543	C₃×C₄⋊C₄	—	2	2	no	—
544	C₃×C₄⋊C₄	—	2	2	no	—
545	C₃×C₄⋊C₄	—	2	1	no	—
546	C₃×C₄⋊C₄	—	2	2	no	—
547	C₃×C₄⋊C₄	—	2	1	no	—
548	C₃×C₄⋊C₄	—	2	2	no	—
549	C₃×C₄⋊C₄	—	3	2	no	—
550	C₃×C₄⋊C₄	—	3	2	no	—
551	C₃×C₄⋊C₄	—	3	2	no	—
552	C₃×C₄⋊C₄	—	3	2	no	—
553	C₃×C₄⋊C₄	—	3	2	no	—
554	C₃×C₄⋊C₄	—	3	2	no	—
555	C₃×C₄⋊C₄	—	3	2	no	—
556	C₃×C₄⋊C₄	—	3	2	no	—
557	C₃×C₄⋊C₄	—	3	2	no	—
558	C₃×C₄⋊C₄	—	3	2	no	—
559	C₃×C₄⋊C₄	—	3	2	no	—
560	C₃×C₄⋊C₄	—	3	2	no	—
561	C₃×C₄⋊C₄	—	3	2	no	—
562	C₃×C₄⋊C₄	—	3	1	no	—
563	C₃×C₄⋊C₄	—	3	1	no	—
564	C₃×C₄⋊C₄	—	3	1	no	—
565	C₃×C₄⋊C₄	—	3	1	no	—
566	C₃×C₄⋊C₄	—	3	2	no	—
567	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
568	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
569	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
570	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
571	C₃×C₄⋊C₄	C₂²×D₃	1	2	yes	—
572	C₃×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
573	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
574	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
575	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
576	C₃×C₄⋊C₄	C₂³×C₃	1	2	yes	—
577	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
578	C₃×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
579	C₃×C₂²⋊C₄	—	2	2	no	—
580	C₃×C₂²⋊C₄	—	2	2	no	—
581	C₃×C₂²⋊C₄	—	2	2	no	—
582	C₃×C₂²⋊C₄	—	2	2	no	—
583	C₃×C₂²⋊C₄	—	2	2	no	—
584	C₃×C₂²⋊C₄	—	3	2	no	—
585	C₃×C₂²⋊C₄	—	3	2	no	—
586	C₃×C₂²⋊C₄	—	3	2	no	—
587	C₃×C₂²⋊C₄	—	3	2	no	—
588	C₃×C₂²⋊C₄	—	3	2	no	—
589	C₃×C₂²⋊C₄	—	3	2	no	—
590	C₃×C₂²⋊C₄	—	3	2	no	—
591	C₃×C₂²⋊C₄	—	3	2	no	—
592	C₃×C₂²⋊C₄	—	3	2	no	—
593	C₃×C₂²⋊C₄	—	3	2	no	—
594	C₃×C₂²⋊C₄	—	3	2	no	—
595	C₃×C₂²⋊C₄	—	3	2	no	—
596	C₃×C₂²⋊C₄	—	3	2	no	—
597	C₃×C₂²⋊C₄	—	3	2	no	—
598	C₃×C₂²⋊C₄	—	3	2	no	—
599	C₃×C₂²⋊C₄	—	3	2	no	—
600	C₃×C₂²⋊C₄	—	3	2	no	—
601	C₃×C₂²⋊C₄	—	3	2	no	—
602	C₃×C₂²⋊C₄	—	3	2	no	—
603	C₃×C₂²⋊C₄	—	3	2	no	—
604	C₃×C₂²⋊C₄	—	3	2	no	—
605	C₃×C₂²⋊C₄	—	3	2	no	—
606	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
607	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
608	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
609	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
610	C₃×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
611	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
612	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
613	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
614	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
615	C₃×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
616	C₃×C₄²	—	2	1	no	—
617	C₃×C₄²	—	2	1	no	—
618	C₃×C₄²	—	2	1	no	—
619	C₃×C₄²	—	2	1	no	—
620	C₃×C₄²	—	2	2	no	—
621	C₃×C₄²	—	3	2	no	—
622	C₃×C₄²	—	3	2	no	—
623	C₃×C₄²	—	3	2	no	—
624	C₃×C₄²	—	3	2	no	—
625	C₃×C₄²	—	3	2	no	—
626	C₃×C₄²	—	3	2	no	—
627	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
628	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
629	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
630	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
631	C₃×C₄²	C₂²×D₃	1	2	yes	—
632	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
633	C₃×C₄²	C₂³×C₃	1	2	yes	—
634	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
635	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
636	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
637	#217	C₂³×C₃	1	2	yes	—
638	#217	C₂³×C₃	1	2	yes	—
639	#217	C₂³×C₃	1	2	yes	—
640	#217	C₂³×C₃	1	2	yes	—
641	#217	C₂³×C₃	1	2	yes	—
642	#217	C₂³×C₃	1	2	yes	—
643	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
644	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
645	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
646	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
647	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
648	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
649	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
650	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
651	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
652	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
653	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
654	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
655	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
656	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
657	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
658	(C₂×D₃)⋊C₄	C₂³×C₃	1	2	yes	—
659	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
660	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
661	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
662	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
663	C₄⋊Dic₃	C₂³×C₃	1	1	yes	characteristic
664	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
665	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
666	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
667	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
668	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
669	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
670	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
671	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
672	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
673	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
674	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
675	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
676	Dic₃⋊C₄	C₂³×C₃	1	2	yes	—
677	C₄×Dic₃	C₂³×C₃	1	2	yes	—
678	C₄×Dic₃	C₂³×C₃	1	2	yes	—
679	C₄×Dic₃	C₂³×C₃	1	2	yes	—
680	C₄×Dic₃	C₂³×C₃	1	2	yes	—
681	C₄×Dic₃	C₂³×C₃	1	2	yes	—
682	C₄×Dic₃	C₂³×C₃	1	2	yes	—
683	C₂²×C₃²	—	2	1	no	—
684	C₂²×C₃²	—	2	2	no	—
685	C₂²×C₃²	—	2	1	no	—
686	C₂²×C₃²	—	2	1	no	—
687	C₂²×C₃²	—	2	2	no	—
688	C₂²×C₃²	—	2	2	no	—
689	C₂²×C₃²	C₂⁵	1	1	yes	characteristic
690	C₂×C₃×D₃	—	2	2	no	—
691	C₂×C₃×D₃	—	2	2	no	—
692	C₂×C₃×D₃	—	2	2	no	—
693	C₂×C₃×D₃	—	2	2	no	—
694	C₂×C₃×D₃	—	2	2	no	—
695	C₂×C₃×D₃	—	2	2	no	—
696	C₂×C₃×D₃	—	8	4	no	—
697	C₃²×C₄	—	2	1	no	—
698	C₃²×C₄	—	2	1	no	—
699	C₃²×C₄	—	2	2	no	—
700	C₃²×C₄	—	2	2	no	—
701	C₃²×C₄	—	2	1	no	—
702	C₃²×C₄	—	2	1	no	—
703	C₃²×C₄	—	2	2	no	—
704	C₃²×C₄	—	2	1	no	—
705	C₃²×C₄	—	2	1	no	—
706	C₃×Dic₃	—	2	2	no	—
707	C₃×Dic₃	—	2	2	no	—
708	C₃×Dic₃	—	2	2	no	—
709	C₃×Dic₃	—	2	2	no	—
710	C₃×Dic₃	—	2	2	no	—
711	C₃×Dic₃	—	2	2	no	—
712	C₄⋊Q₈	—	3	2	no	—
713	C₄⋊Q₈	—	3	2	no	—
714	C₄⋊Q₈	—	3	2	no	—
715	#126	—	3	2	no	—
716	#126	—	3	2	no	—
717	#126	—	3	2	no	—
718	#126	—	3	2	no	—
719	#126	—	3	2	no	—
720	#126	—	3	2	no	—
721	#126	—	3	2	no	—
722	#126	—	3	2	no	—
723	#126	—	3	2	no	—
724	#126	—	3	2	no	—
725	#126	—	3	2	no	—
726	#126	—	3	2	no	—
727	#126	C₂×C₃×D₃	1	2	yes	complemented
728	#125	—	3	1	no	—
729	#125	—	3	1	no	—
730	#125	C₂×C₃×D₃	1	1	yes	characteristic, complemented
731	#124	—	3	2	no	—
732	#124	—	3	2	no	—
733	#124	—	3	2	no	—
734	#124	—	3	2	no	—
735	#124	—	3	2	no	—
736	#124	—	3	2	no	—
737	#124	—	3	2	no	—
738	#124	—	3	2	no	—
739	#124	—	3	1	no	—
740	#124	—	3	1	no	—
741	#124	—	3	2	no	—
742	#124	C₂×C₃×D₃	1	1	yes	characteristic
743	#123	—	3	2	no	—
744	#123	—	3	2	no	—
745	#123	—	3	2	no	—
746	#123	—	3	2	no	—
747	#123	—	3	2	no	—
748	#123	—	3	2	no	—
749	#123	—	3	2	no	—
750	#123	—	3	2	no	—
751	#123	C₂×C₃×D₃	1	2	yes	complemented
752	C₂²⋊Q₈	—	3	1	no	—
753	C₂²⋊Q₈	—	3	1	no	—
754	C₂²⋊Q₈	—	3	2	no	—
755	C₂²⋊Q₈	—	3	2	no	—
756	C₂²⋊Q₈	—	3	2	no	—
757	C₂²⋊Q₈	—	3	2	no	—
758	C₂²⋊Q₈	—	3	2	no	—
759	C₂²⋊Q₈	—	3	2	no	—
760	C₂²⋊Q₈	—	3	2	no	—
761	C₂²⋊Q₈	—	3	2	no	—
762	C₂²⋊Q₈	—	3	2	no	—
763	C₂²⋊Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
764	#121	—	3	2	no	—
765	#121	—	3	2	no	—
766	#121	—	3	1	no	—
767	#121	—	3	1	no	—
768	#121	—	3	2	no	—
769	#121	C₂×C₃×D₃	1	1	yes	characteristic
770	#120	—	3	2	no	—
771	#120	—	3	2	no	—
772	#120	—	3	2	no	—
773	#120	—	3	2	no	—
774	C₄×Q₈	—	3	2	no	—
775	C₄×Q₈	—	3	2	no	—
776	C₄×Q₈	—	3	1	no	—
777	C₄×Q₈	—	3	1	no	—
778	C₄×Q₈	—	3	2	no	—
779	C₄×Q₈	C₂×C₃×D₃	1	1	yes	characteristic, complemented
780	C₄×D₄	—	3	2	no	—
781	C₄×D₄	—	3	2	no	—
782	C₄×D₄	—	3	2	no	—
783	C₄×D₄	—	3	2	no	—
784	C₄×D₄	—	3	2	no	—
785	C₄×D₄	—	3	1	no	—
786	C₄×D₄	—	3	1	no	—
787	C₄×D₄	C₂×C₃×D₃	1	1	yes	characteristic
788	C₄×D₄	C₂×C₃×D₃	1	2	yes	complemented
789	#117	—	3	2	no	—
790	#117	—	3	2	no	—
791	#117	—	3	2	no	—
792	#117	—	3	2	no	—
793	#117	—	3	2	no	—
794	#117	C₂×C₃×D₃	1	2	yes	complemented
795	C₂×C₂²⋊C₄	—	3	2	no	—
796	C₂×C₂²⋊C₄	—	3	2	no	—
797	C₂×C₂²⋊C₄	—	3	2	no	—
798	C₂×C₄²	C₂×C₃×D₃	1	1	yes	characteristic, complemented
799	C₂³×C₃	—	2	1	no	—
800	C₂³×C₃	—	2	2	no	—
801	C₂³×C₃	—	3	2	no	—
802	C₂³×C₃	—	3	2	no	—
803	C₂³×C₃	—	12	2	no	—
804	C₂³×C₃	—	12	2	no	—
805	C₂³×C₃	—	12	2	no	—
806	C₂³×C₃	C₂³×D₃	1	2	yes	—
807	C₂³×C₃	C₂³×D₃	1	1	yes	characteristic
808	C₂³×C₃	C₂⁴×C₃	1	2	yes	—
809	C₂³×C₃	C₂⁴×C₃	1	1	yes	characteristic
810	C₂²×D₃	—	4	2	no	—
811	C₂²×D₃	—	4	2	no	—
812	C₂²×D₃	—	4	2	no	—
813	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
814	C₂²×D₃	C₂⁴×C₃	1	2	yes	—
815	C₃×Q₈	—	4	1	no	—
816	C₃×Q₈	—	4	1	no	—
817	C₃×Q₈	—	4	2	no	—
818	C₃×Q₈	—	12	2	no	—
819	C₃×Q₈	—	12	1	no	—
820	C₃×Q₈	—	12	1	no	—
821	C₃×Q₈	—	12	2	no	—
822	C₃×Q₈	—	12	2	no	—
823	C₃×D₄	—	4	1	no	—
824	C₃×D₄	—	4	2	no	—
825	C₃×D₄	—	4	2	no	—
826	C₃×D₄	—	4	1	no	—
827	C₃×D₄	—	4	2	no	—
828	C₃×D₄	—	4	4	no	—
829	C₃×D₄	—	12	1	no	—
830	C₃×D₄	—	12	1	no	—
831	C₃×D₄	—	12	2	no	—
832	C₃×D₄	—	12	2	no	—
833	C₃×D₄	—	12	2	no	—
834	C₃×D₄	—	12	2	no	—
835	C₃×D₄	—	12	2	no	—
836	C₂×C₃×C₄	—	2	1	no	—
837	C₂×C₃×C₄	—	2	1	no	—
838	C₂×C₃×C₄	—	2	1	no	—
839	C₂×C₃×C₄	—	2	1	no	—
840	C₂×C₃×C₄	—	2	1	no	—
841	C₂×C₃×C₄	—	2	1	no	—
842	C₂×C₃×C₄	—	2	2	no	—
843	C₂×C₃×C₄	—	2	2	no	—
844	C₂×C₃×C₄	—	2	2	no	—
845	C₂×C₃×C₄	—	3	2	no	—
846	C₂×C₃×C₄	—	3	2	no	—
847	C₂×C₃×C₄	—	3	2	no	—
848	C₂×C₃×C₄	—	3	2	no	—
849	C₂×C₃×C₄	—	3	2	no	—
850	C₂×C₃×C₄	—	3	2	no	—
851	C₂×C₃×C₄	—	4	2	no	—
852	C₂×C₃×C₄	—	4	1	no	—
853	C₂×C₃×C₄	—	4	1	no	—
854	C₂×C₃×C₄	—	4	1	no	—
855	C₂×C₃×C₄	—	4	2	no	—
856	C₂×C₃×C₄	—	4	1	no	—
857	C₂×C₃×C₄	—	4	1	no	—
858	C₂×C₃×C₄	—	4	1	no	—
859	C₂×C₃×C₄	—	4	2	no	—
860	C₂×C₃×C₄	—	4	4	no	—
861	C₂×C₃×C₄	—	4	2	no	—
862	C₂×C₃×C₄	—	4	2	no	—
863	C₂×C₃×C₄	—	12	2	no	—
864	C₂×C₃×C₄	—	12	2	no	—
865	C₂×C₃×C₄	—	12	2	no	—
866	C₂×C₃×C₄	—	12	2	no	—
867	C₂×C₃×C₄	—	12	2	no	—
868	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
869	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
870	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
871	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
872	C₂×C₃×C₄	C₂³×D₃	1	2	yes	—
873	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
874	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
875	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
876	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
877	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
878	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
879	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
880	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
881	C₂×C₃×C₄	C₂⁴×C₃	1	2	yes	—
882	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
883	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
884	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
885	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
886	#67	—	4	2	no	—
887	#67	—	4	2	no	—
888	#67	—	4	2	no	—
889	#67	—	4	2	no	—
890	C₂×Dic₃	—	4	2	no	—
891	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
892	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
893	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
894	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
895	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
896	C₂×Dic₃	C₂⁴×C₃	1	2	yes	—
897	D₁₂	—	4	1	no	—
898	D₁₂	—	4	1	no	—
899	D₁₂	—	4	2	no	—
900	C₄×D₃	—	4	2	no	—
901	C₄×D₃	—	4	2	no	—
902	C₄×D₃	—	4	2	no	—
903	C₄×D₃	—	4	2	no	—
904	Dic₆	—	4	1	no	—
905	Dic₆	—	4	1	no	—
906	Dic₆	—	4	2	no	—
907	Dic₆	—	4	2	no	—
908	Dic₆	—	4	2	no	—
909	C₂×C₃²	—	4	1	no	—
910	C₂×C₃²	—	4	2	no	—
911	C₂×C₃²	#585	1	1	yes	characteristic
912	C₂×C₃²	#585	1	1	yes	characteristic
913	C₂×C₃²	#585	1	1	yes	characteristic
914	C₃×D₃	—	4	2	no	—
915	C₃×D₃	—	4	2	no	—
916	C₂⁴	—	3	2	no	—
917	C₂×Q₈	—	3	2	no	—
918	C₂×Q₈	—	3	2	no	—
919	C₂×Q₈	—	3	2	no	—
920	C₂×Q₈	—	3	1	no	—
921	C₂×Q₈	—	3	1	no	—
922	C₂×Q₈	C₂²×C₃×D₃	1	1	yes	characteristic
923	C₂×D₄	—	3	2	no	—
924	C₂×D₄	—	3	2	no	—
925	C₂×D₄	—	3	2	no	—
926	C₂×D₄	—	3	2	no	—
927	C₂×D₄	—	3	1	no	—
928	C₂×D₄	—	3	1	no	—
929	C₂×D₄	—	3	2	no	—
930	C₂×D₄	C₂²×C₃×D₃	1	1	yes	characteristic
931	C₂×D₄	C₂²×C₃×D₃	1	2	yes	—
932	C₂²×C₄	—	3	2	no	—
933	C₂²×C₄	—	3	2	no	—
934	C₂²×C₄	—	3	2	no	—
935	C₂²×C₄	—	3	2	no	—
936	C₂²×C₄	—	3	2	no	—
937	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
938	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
939	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
940	C₂²×C₄	C₂²×C₃×D₃	1	2	yes	—
941	C₄⋊C₄	—	3	2	no	—
942	C₄⋊C₄	—	3	2	no	—
943	C₄⋊C₄	—	3	2	no	—
944	C₄⋊C₄	—	3	2	no	—
945	C₄⋊C₄	—	3	2	no	—
946	C₄⋊C₄	—	3	2	no	—
947	C₄⋊C₄	—	3	2	no	—
948	C₄⋊C₄	—	3	2	no	—
949	C₄⋊C₄	—	3	2	no	—
950	C₄⋊C₄	—	3	1	no	—
951	C₄⋊C₄	—	3	1	no	—
952	C₄⋊C₄	—	3	2	no	—
953	C₄⋊C₄	—	3	2	no	—
954	C₄⋊C₄	—	3	1	no	—
955	C₄⋊C₄	—	3	1	no	—
956	C₄⋊C₄	—	3	2	no	—
957	C₄⋊C₄	—	3	2	no	—
958	C₄⋊C₄	—	3	2	no	—
959	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
960	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
961	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
962	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
963	C₄⋊C₄	C₂²×C₃×D₃	1	2	yes	—
964	C₄⋊C₄	C₂²×C₃×D₃	1	1	yes	characteristic
965	C₂²⋊C₄	—	3	2	no	—
966	C₂²⋊C₄	—	3	2	no	—
967	C₂²⋊C₄	—	3	2	no	—
968	C₂²⋊C₄	—	3	2	no	—
969	C₂²⋊C₄	—	3	2	no	—
970	C₂²⋊C₄	—	3	2	no	—
971	C₂²⋊C₄	—	3	2	no	—
972	C₂²⋊C₄	—	3	2	no	—
973	C₂²⋊C₄	—	3	2	no	—
974	C₂²⋊C₄	—	3	2	no	—
975	C₂²⋊C₄	—	3	2	no	—
976	C₂²⋊C₄	—	3	2	no	—
977	C₂²⋊C₄	—	3	2	no	—
978	C₂²⋊C₄	—	3	2	no	—
979	C₂²⋊C₄	—	3	2	no	—
980	C₂²⋊C₄	—	3	2	no	—
981	C₂²⋊C₄	—	3	2	no	—
982	C₂²⋊C₄	—	3	2	no	—
983	C₂²⋊C₄	—	3	2	no	—
984	C₂²⋊C₄	—	3	2	no	—
985	C₂²⋊C₄	—	3	2	no	—
986	C₂²⋊C₄	—	3	2	no	—
987	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
988	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
989	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
990	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
991	C₂²⋊C₄	C₂²×C₃×D₃	1	2	yes	—
992	C₄²	—	3	2	no	—
993	C₄²	—	3	2	no	—
994	C₄²	—	3	2	no	—
995	C₄²	—	3	2	no	—
996	C₄²	—	3	2	no	—
997	C₄²	—	3	2	no	—
998	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
999	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1000	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1001	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
1002	C₄²	C₂²×C₃×D₃	1	2	yes	—
1003	C₂²×C₃	—	2	2	no	—
1004	C₂²×C₃	—	2	1	no	—
1005	C₂²×C₃	—	2	1	no	—
1006	C₂²×C₃	—	2	1	no	—
1007	C₂²×C₃	—	2	2	no	—
1008	C₂²×C₃	—	2	2	no	—
1009	C₂²×C₃	—	2	2	no	—
1010	C₂²×C₃	—	2	2	no	—
1011	C₂²×C₃	—	2	1	no	—
1012	C₂²×C₃	—	2	1	no	—
1013	C₂²×C₃	—	2	2	no	—
1014	C₂²×C₃	—	2	2	no	—
1015	C₂²×C₃	—	2	1	no	—
1016	C₂²×C₃	—	2	1	no	—
1017	C₂²×C₃	—	4	1	no	—
1018	C₂²×C₃	—	4	1	no	—
1019	C₂²×C₃	—	4	2	no	—
1020	C₂²×C₃	—	4	2	no	—
1021	C₂²×C₃	—	4	2	no	—
1022	C₂²×C₃	—	6	2	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	—	24	4	no	—
1029	C₂²×C₃	C₂⁴×D₃	1	1	yes	characteristic
1030	C₂²×C₃	C₂⁵×C₃	1	1	yes	characteristic
1031	C₂×D₃	—	2	2	no	—
1032	C₂×D₃	—	2	2	no	—
1033	C₂×D₃	—	2	2	no	—
1034	C₂×D₃	—	2	2	no	—
1035	C₂×D₃	—	2	2	no	—
1036	C₂×D₃	—	2	2	no	—
1037	C₂×D₃	—	8	4	no	—
1038	C₃×C₄	—	2	2	no	—
1039	C₃×C₄	—	2	2	no	—
1040	C₃×C₄	—	2	1	no	—
1041	C₃×C₄	—	2	1	no	—
1042	C₃×C₄	—	2	1	no	—
1043	C₃×C₄	—	2	2	no	—
1044	C₃×C₄	—	2	1	no	—
1045	C₃×C₄	—	2	1	no	—
1046	C₃×C₄	—	2	1	no	—
1047	C₃×C₄	—	2	2	no	—
1048	C₃×C₄	—	2	2	no	—
1049	C₃×C₄	—	2	2	no	—
1050	C₃×C₄	—	2	2	no	—
1051	C₃×C₄	—	2	1	no	—
1052	C₃×C₄	—	2	1	no	—
1053	C₃×C₄	—	2	2	no	—
1054	C₃×C₄	—	2	1	no	—
1055	C₃×C₄	—	2	1	no	—
1056	C₃×C₄	—	2	1	no	—
1057	C₃×C₄	—	2	1	no	—
1058	C₃×C₄	—	4	1	no	—
1059	C₃×C₄	—	4	1	no	—
1060	C₃×C₄	—	4	2	no	—
1061	C₃×C₄	—	4	1	no	—
1062	C₃×C₄	—	4	1	no	—
1063	C₃×C₄	—	4	2	no	—
1064	C₃×C₄	—	4	2	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	—	6	2	no	—
1070	C₃×C₄	—	6	2	no	—
1071	Dic₃	—	2	2	no	—
1072	Dic₃	—	2	2	no	—
1073	Dic₃	—	2	2	no	—
1074	Dic₃	—	2	2	no	—
1075	Dic₃	—	2	2	no	—
1076	Dic₃	—	2	2	no	—
1077	C₃²	#3568	1	1	yes	characteristic, complemented, Sylow
1078	C₂³	—	3	2	no	—
1079	C₂³	—	3	2	no	—
1080	C₂³	—	12	2	no	—
1081	C₂³	—	12	2	no	—
1082	C₂³	—	12	2	no	—
1083	C₂³	C₂³×C₃×D₃	1	2	yes	—
1084	C₂³	C₂³×C₃×D₃	1	1	yes	characteristic
1085	Q₈	—	4	1	no	—
1086	Q₈	—	12	2	no	—
1087	Q₈	—	12	1	no	—
1088	Q₈	—	12	1	no	—
1089	Q₈	—	12	2	no	—
1090	Q₈	—	12	2	no	—
1091	D₄	—	4	1	no	—
1092	D₄	—	4	2	no	—
1093	D₄	—	12	1	no	—
1094	D₄	—	12	1	no	—
1095	D₄	—	12	2	no	—
1096	D₄	—	12	2	no	—
1097	D₄	—	12	2	no	—
1098	D₄	—	12	2	no	—
1099	D₄	—	12	2	no	—
1100	C₂×C₄	—	3	2	no	—
1101	C₂×C₄	—	3	2	no	—
1102	C₂×C₄	—	3	2	no	—
1103	C₂×C₄	—	3	2	no	—
1104	C₂×C₄	—	3	2	no	—
1105	C₂×C₄	—	3	2	no	—
1106	C₂×C₄	—	4	2	no	—
1107	C₂×C₄	—	4	1	no	—
1108	C₂×C₄	—	4	1	no	—
1109	C₂×C₄	—	4	1	no	—
1110	C₂×C₄	—	12	2	no	—
1111	C₂×C₄	—	12	2	no	—
1112	C₂×C₄	—	12	2	no	—
1113	C₂×C₄	—	12	2	no	—
1114	C₂×C₄	—	12	2	no	—
1115	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1116	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1117	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1118	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1119	C₂×C₄	C₂³×C₃×D₃	1	2	yes	—
1120	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1121	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1122	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1123	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
1124	C₂×C₃	—	2	1	no	—
1125	C₂×C₃	—	2	1	no	—
1126	C₂×C₃	—	2	1	no	—
1127	C₂×C₃	—	4	2	no	—
1128	C₂×C₃	—	4	2	no	—
1129	C₂×C₃	—	4	1	no	—
1130	C₂×C₃	—	4	2	no	—
1131	C₂×C₃	—	4	1	no	—
1132	C₂×C₃	—	8	2	no	—
1133	C₂×C₃	—	12	2	no	—
1134	C₂×C₃	—	12	2	no	—
1135	C₂×C₃	#5964	1	1	yes	characteristic
1136	C₂×C₃	#5964	1	1	yes	characteristic
1137	C₂×C₃	#5964	1	1	yes	characteristic
1138	C₂×C₃	C₃×#585	1	1	yes	characteristic
1139	C₂×C₃	C₃×#585	1	1	yes	characteristic
1140	C₂×C₃	C₃×#585	1	1	yes	characteristic
1141	D₃	—	4	2	no	—
1142	D₃	—	4	2	no	—
1143	C₂²	—	2	1	no	—
1144	C₂²	—	2	1	no	—
1145	C₂²	—	2	1	no	—
1146	C₂²	—	2	2	no	—
1147	C₂²	—	2	2	no	—
1148	C₂²	—	2	2	no	—
1149	C₂²	—	6	2	no	—
1150	C₂²	—	6	2	no	—
1151	C₂²	—	6	2	no	—
1152	C₂²	—	6	2	no	—
1153	C₂²	—	6	2	no	—
1154	C₂²	—	6	2	no	—
1155	C₂²	—	24	4	no	—
1156	C₂²	C₂⁴×C₃×D₃	1	1	yes	characteristic
1157	C₄	—	2	1	no	—
1158	C₄	—	2	1	no	—
1159	C₄	—	2	1	no	—
1160	C₄	—	2	2	no	—
1161	C₄	—	2	1	no	—
1162	C₄	—	2	1	no	—
1163	C₄	—	2	1	no	—
1164	C₄	—	2	2	no	—
1165	C₄	—	2	2	no	—
1166	C₄	—	6	2	no	—
1167	C₄	—	6	2	no	—
1168	C₄	—	6	2	no	—
1169	C₄	—	6	2	no	—
1170	C₄	—	6	2	no	—
1171	C₄	—	6	2	no	—
1172	C₃	—	2	1	no	—
1173	C₃	#86144	1	1	yes	characteristic, direct product factor
1174	C₃	C₃×#3568	1	1	yes	characteristic, complemented
1175	C₂	—	4	2	no	—
1176	C₂	—	4	1	no	—
1177	C₂	—	12	2	no	—
1178	C₂	—	12	2	no	—
1179	C₂	C₃×#5964	1	1	yes	characteristic
1180	C₂	C₃×#5964	1	1	yes	characteristic
1181	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	C₃²×#529	C₂
socle	C₂²×C₃²	C₂⁵
hypercenter	C₃×#529	D₃
hypocenter	C₃	C₃×#3568
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#529

Complements

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

N	H ≅ G/N	type
1. C₃²×#529	C₂	semidirect
2. C₃×#5705	C₂	semidirect
3. C₃×#5702	C₂	semidirect
4. C₃×#5699	C₂	semidirect
5. C₃×#5699	C₂	semidirect
6. C₃×#5683	C₂	semidirect
7. C₃×#5672	C₂	semidirect
8. C₃×#5662	C₂	semidirect
9. C₃×#5657	C₂	semidirect
10. C₃×#5640	C₂	semidirect
11. C₃×#5613	C₂	semidirect
12. C₃×#5568	C₂	semidirect
13. C₃×#5561	C₂	semidirect
14. C₃×#5560	C₂	semidirect
15. C₃×#5556	C₂	semidirect
16. C₃×#5533	C₂	semidirect
17. C₃×#5527	C₂	semidirect
18. C₃×#5479	C₂	semidirect
19. C₃×#5479	C₂	semidirect
21. #86144	C₃	direct (N × H)
22. C₃²×#126	C₂²	semidirect
23. C₃²×#125	C₂²	semidirect
25. C₃²×#123	C₂²	semidirect
26. C₃²×C₂²⋊Q₈	C₂²	semidirect
28. C₃²×C₄×Q₈	C₂²	semidirect
30. C₃²×C₄×D₄	C₂²	semidirect
31. C₃²×#117	C₂²	semidirect
32. C₂×C₃²×C₄²	C₂²	semidirect
34. C₃×#944	C₂²	semidirect
38. C₃×#937	C₂²	semidirect
39. C₃×#936	C₂²	semidirect
44. C₃×#929	C₂²	semidirect
45. C₃×#929	C₂²	semidirect
47. C₃×C₄×#67	C₂²	semidirect
48. C₃×C₄×#67	C₂²	semidirect
49. C₂×C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
50. C₃×#924	C₂²	semidirect
51. C₃×#924	C₂²	semidirect
52. C₃×#924	C₂²	semidirect
53. C₃×#898	C₂²	semidirect
54. C₃×#898	C₂²	semidirect
55. C₃×#898	C₂²	semidirect
56. C₃×#898	C₂²	semidirect
57. C₃×#898	C₂²	semidirect
58. C₃×#897	C₂²	semidirect
59. C₃×#897	C₂²	semidirect
60. C₃×#896	C₂²	semidirect
61. C₃×#896	C₂²	semidirect
62. C₃×#896	C₂²	semidirect
63. C₃×#896	C₂²	semidirect
68. C₃×#892	C₂²	semidirect
69. C₃×#888	C₂²	semidirect
70. C₃×#888	C₂²	semidirect
71. C₃×#887	C₂²	semidirect
72. C₃×#887	C₂²	semidirect
77. C₃×#885	C₂²	semidirect
78. C₃×#885	C₂²	semidirect
84. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
85. C₃×D₃×C₂²⋊C₄	C₂²	semidirect
86. C₃×#879	C₂²	semidirect
87. C₃×#879	C₂²	semidirect
88. C₃×#879	C₂²	semidirect
89. C₃×#879	C₂²	semidirect
90. C₃×#878	C₂²	semidirect
91. C₃×#878	C₂²	semidirect
92. C₃×#877	C₂²	semidirect
93. C₃×#876	C₂²	semidirect
94. C₃×#876	C₂²	semidirect
95. C₃×#876	C₂²	semidirect
101. C₃×#872	C₂²	semidirect
102. C₃×#872	C₂²	semidirect
103. C₃×#872	C₂²	semidirect
104. C₃×#870	C₂²	semidirect
105. C₃×#870	C₂²	semidirect
106. C₃×C₄×Dic₆	C₂²	semidirect
107. C₃×C₄×Dic₆	C₂²	semidirect
108. C₃×C₄×Dic₆	C₂²	semidirect
128. C₃×#529	D₃	semidirect
129. C₃×#529	C₂×C₃	semidirect
130. #5705	C₂×C₃	semidirect
131. #5702	C₂×C₃	semidirect
132. #5699	C₂×C₃	semidirect
133. #5699	C₂×C₃	semidirect
134. #5683	C₂×C₃	semidirect
135. #5672	C₂×C₃	semidirect
136. #5662	C₂×C₃	semidirect
137. #5657	C₂×C₃	semidirect
138. #5640	C₂×C₃	semidirect
139. #5613	C₂×C₃	semidirect
140. #5568	C₂×C₃	semidirect
141. #5561	C₂×C₃	semidirect
142. #5560	C₂×C₃	semidirect
143. #5556	C₂×C₃	semidirect
144. #5533	C₂×C₃	semidirect
145. #5527	C₂×C₃	semidirect
146. #5479	C₂×C₃	semidirect
147. #5479	C₂×C₃	semidirect
252. C₃×#126	C₂×D₃	semidirect
253. C₃×#126	C₂²×C₃	semidirect
257. C₃×#125	C₂×D₃	semidirect
258. C₃×#125	C₂²×C₃	semidirect
282. C₃×#123	C₂×D₃	semidirect
283. C₃×#123	C₂²×C₃	semidirect
296. C₃×C₂²⋊Q₈	C₂×D₃	semidirect
297. C₃×C₂²⋊Q₈	C₂²×C₃	semidirect
316. C₃×C₄×Q₈	C₂×D₃	semidirect
317. C₃×C₄×Q₈	C₂²×C₃	semidirect
328. C₃×C₄×D₄	C₂×D₃	semidirect
330. C₃×C₄×D₄	C₂²×C₃	semidirect
337. C₃×#117	C₂×D₃	semidirect
338. C₃×#117	C₂²×C₃	semidirect
343. C₂×C₃×C₄²	C₂×D₃	semidirect
344. C₂×C₃×C₄²	C₂²×C₃	semidirect
346. #944	C₂²×C₃	semidirect
350. #937	C₂²×C₃	semidirect
351. #936	C₂²×C₃	semidirect
356. #929	C₂²×C₃	semidirect
357. #929	C₂²×C₃	semidirect
359. C₄×#67	C₂²×C₃	semidirect
360. C₄×#67	C₂²×C₃	semidirect
361. C₂×(C₂×D₃)⋊C₄	C₂²×C₃	semidirect
362. #924	C₂²×C₃	semidirect
363. #924	C₂²×C₃	semidirect
364. #924	C₂²×C₃	semidirect
365. #898	C₂²×C₃	semidirect
366. #898	C₂²×C₃	semidirect
367. #898	C₂²×C₃	semidirect
368. #898	C₂²×C₃	semidirect
369. #898	C₂²×C₃	semidirect
370. #897	C₂²×C₃	semidirect
371. #897	C₂²×C₃	semidirect
372. #896	C₂²×C₃	semidirect
373. #896	C₂²×C₃	semidirect
374. #896	C₂²×C₃	semidirect
375. #896	C₂²×C₃	semidirect
380. #892	C₂²×C₃	semidirect
381. #888	C₂²×C₃	semidirect
382. #888	C₂²×C₃	semidirect
383. #887	C₂²×C₃	semidirect
384. #887	C₂²×C₃	semidirect
389. #885	C₂²×C₃	semidirect
390. #885	C₂²×C₃	semidirect
396. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
397. D₃×C₂²⋊C₄	C₂²×C₃	semidirect
398. #879	C₂²×C₃	semidirect
399. #879	C₂²×C₃	semidirect
400. #879	C₂²×C₃	semidirect
401. #879	C₂²×C₃	semidirect
402. #878	C₂²×C₃	semidirect
403. #878	C₂²×C₃	semidirect
404. #877	C₂²×C₃	semidirect
405. #876	C₂²×C₃	semidirect
406. #876	C₂²×C₃	semidirect
407. #876	C₂²×C₃	semidirect
413. #872	C₂²×C₃	semidirect
414. #872	C₂²×C₃	semidirect
415. #872	C₂²×C₃	semidirect
416. #870	C₂²×C₃	semidirect
417. #870	C₂²×C₃	semidirect
418. C₄×Dic₆	C₂²×C₃	semidirect
419. C₄×Dic₆	C₂²×C₃	semidirect
420. C₄×Dic₆	C₂²×C₃	semidirect
485. #529	C₃×D₃	semidirect
727. #126	C₂×C₃×D₃	semidirect
730. #125	C₂×C₃×D₃	semidirect
751. #123	C₂×C₃×D₃	semidirect
763. C₂²⋊Q₈	C₂×C₃×D₃	semidirect
779. C₄×Q₈	C₂×C₃×D₃	semidirect
788. C₄×D₄	C₂×C₃×D₃	semidirect
794. #117	C₂×C₃×D₃	semidirect
798. C₂×C₄²	C₂×C₃×D₃	semidirect
1077. C₃²	#3568	semidirect
1173. C₃	#86144	direct (N × H)
1174. C₃	C₃×#3568	semidirect

Maximal subgroups

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

subgroup	index
C₃²×#529	2
C₃×#5705	2
C₃×#5702	2
C₃×#5699	2
C₃×#5683	2
C₃×#5672	2
C₃×#5662	2
C₃×#5657	2
C₃×#5640	2
C₃×#5613	2
C₃×#5568	2
C₃×#5561	2
C₃×#5560	2
C₃×#5556	2
C₃×#5533	2
C₃×#5527	2
C₃×#5479	2
C₃×#3568	3
#86144	3

Subgroups — C3×#86144 #11918331

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#86144 #11918331