Subgroups — C₃×#60595 #10679202

Order 768.

2014 conjugacy classes of subgroups.

The subgroup lattice has 1154 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3510	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×C₄×2₋¹⁺⁴	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#3125	C₂	1	2	yes	maximal, complemented
4	C₃×#3124	C₂	1	2	yes	maximal, complemented
5	C₃×#3121	C₂	1	2	yes	maximal, complemented
6	C₃×#3121	C₂	1	2	yes	maximal, complemented
7	C₃×#3117	C₂	1	2	yes	maximal, complemented
8	C₃×#3111	C₂	1	2	yes	maximal, complemented
9	C₃×#3108	C₂	1	2	yes	maximal, complemented
10	C₃×#3102	C₂	1	2	yes	maximal, complemented
11	C₃×#3097	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#3096	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#3078	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#3076	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#3040	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₃×#464	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#3011	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#3010	C₂	1	1	yes	maximal, characteristic
19	C₃×#2950	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#2949	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#2947	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#2946	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#2925	C₂	1	1	yes	maximal, characteristic, complemented
24	#60595	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₂×C₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
26	C₂×C₃×#137	C₂²	1	1	yes	characteristic
27	C₂×C₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
28	C₂²×C₃×Q₁₆	C₂²	1	1	yes	characteristic
29	C₂²×C₃×SD₁₆	C₂²	1	1	yes	characteristic
30	C₃×#559	—	2	1	no	—
31	C₃×#559	—	2	1	no	—
32	C₃×#556	—	2	1	no	—
33	C₃×#556	—	2	1	no	—
34	C₃×#551	—	2	2	no	—
35	C₃×#551	—	2	2	no	—
36	C₃×#542	C₂²	1	2	yes	—
37	C₃×#542	C₂²	1	2	yes	—
38	C₃×#536	C₂²	1	1	yes	characteristic
39	C₃×#535	C₂²	1	1	yes	characteristic
40	C₃×#533	C₂²	1	1	yes	characteristic
41	C₃×#529	C₂²	1	2	yes	—
42	C₃×#529	C₂²	1	2	yes	—
43	C₂×C₃×#124	C₂²	1	1	yes	characteristic
44	C₃×#520	—	2	2	no	—
45	C₃×#520	—	2	1	no	—
46	C₃×#520	C₂²	1	1	yes	characteristic
47	C₃×#520	C₂²	1	1	yes	characteristic
48	C₃×#520	C₂²	1	2	yes	complemented
49	C₃×#519	—	2	1	no	—
50	C₃×#519	C₂²	1	1	yes	characteristic
51	C₃×#519	C₂²	1	1	yes	characteristic
52	C₃×#519	C₂²	1	2	yes	complemented
53	C₃×#518	C₂²	1	1	yes	characteristic
54	C₃×C₄×#41	—	2	2	no	—
55	C₃×C₄×#41	—	2	1	no	—
56	C₃×C₄×#41	C₂²	1	1	yes	characteristic
57	C₃×C₄×#41	C₂²	1	1	yes	characteristic
58	C₃×C₄×#41	C₂²	1	2	yes	complemented
59	C₂×C₃×C₄×Q₈	—	2	1	no	—
60	C₂×C₃×C₄×Q₈	C₂²	1	1	yes	characteristic
61	C₂×C₃×C₄×Q₈	C₂²	1	2	yes	complemented
62	C₃×#485	C₂²	1	2	yes	complemented
63	C₃×#485	C₂²	1	2	yes	complemented
64	C₃×#484	C₂²	1	2	yes	complemented
65	C₃×#483	C₂²	1	2	yes	complemented
66	C₃×#482	C₂²	1	2	yes	—
67	C₃×#482	C₂²	1	2	yes	—
68	C₃×#481	C₂²	1	2	yes	—
69	C₃×#480	C₂²	1	2	yes	—
70	C₃×#479	C₂²	1	1	yes	characteristic, complemented
71	C₃×#479	C₂²	1	1	yes	characteristic, complemented
72	C₃×#479	C₂²	1	2	yes	complemented
73	C₃×#479	C₂²	1	2	yes	complemented
74	C₃×#478	C₂²	1	1	yes	characteristic, complemented
75	C₃×#478	C₂²	1	1	yes	characteristic, complemented
76	C₃×#477	C₂²	1	1	yes	characteristic, complemented
77	C₃×#477	C₂²	1	2	yes	complemented
78	C₃×#476	C₂²	1	1	yes	characteristic, complemented
79	C₃×#475	C₂²	1	1	yes	characteristic, complemented
80	C₃×#475	C₂²	1	2	yes	complemented
81	C₃×#474	C₂²	1	1	yes	characteristic, complemented
82	C₃×#464	C₂²	1	2	yes	—
83	C₃×#464	C₂²	1	2	yes	—
84	C₃×#464	C₂²	1	2	yes	—
85	C₃×#464	C₂²	1	2	yes	—
86	C₃×#464	C₂²	1	2	yes	—
87	C₃×#464	C₂²	1	2	yes	—
88	C₃×#463	C₂²	1	2	yes	—
89	C₃×#463	C₂²	1	2	yes	—
90	C₃×#452	C₂²	1	2	yes	complemented
91	C₃×#452	C₂²	1	2	yes	complemented
92	C₃×#451	C₂²	1	2	yes	complemented
93	C₃×#451	C₂²	1	2	yes	complemented
94	C₃×#449	C₂²	1	2	yes	—
95	C₃×#449	C₂²	1	2	yes	—
96	C₃×#448	C₂²	1	2	yes	—
97	C₃×#448	C₂²	1	2	yes	—
98	C₃×#442	C₂²	1	2	yes	—
99	C₃×#441	C₂²	1	2	yes	complemented
100	C₃×#441	C₂²	1	2	yes	complemented
101	C₃×#441	C₂²	1	2	yes	complemented
102	C₃×#440	C₂²	1	2	yes	—
103	C₃×#440	C₂²	1	2	yes	—
104	C₃×#440	C₂²	1	2	yes	—
105	C₃×#440	C₂²	1	2	yes	complemented
106	C₃×C₄×Q₁₆	C₂²	1	2	yes	complemented
107	C₃×C₄×Q₁₆	C₂²	1	2	yes	complemented
108	C₃×C₄×Q₁₆	C₂²	1	2	yes	complemented
109	C₃×C₄×SD₁₆	C₂²	1	2	yes	—
110	C₃×C₄×SD₁₆	C₂²	1	2	yes	—
111	C₃×C₄×SD₁₆	C₂²	1	2	yes	—
112	C₃×C₄×SD₁₆	C₂²	1	2	yes	complemented
113	C₃×C₄×D₈	C₂²	1	2	yes	—
114	C₃×#433	C₂²	1	2	yes	complemented
115	C₃×#433	C₂²	1	2	yes	complemented
116	C₃×#432	C₂²	1	2	yes	complemented
117	C₃×#431	C₂²	1	2	yes	complemented
118	C₃×#428	C₂²	1	1	yes	characteristic
119	C₃×#428	C₂²	1	1	yes	characteristic
120	C₃×#427	C₂²	1	1	yes	characteristic
121	C₃×#427	C₂²	1	1	yes	characteristic
122	C₃×#423	C₂²	1	1	yes	characteristic
123	C₂×C₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
124	C₃×#419	C₂²	1	1	yes	characteristic
125	C₃×#419	C₂²	1	1	yes	characteristic
126	C₃×#419	C₂²	1	1	yes	characteristic
127	C₃×#418	C₂²	1	1	yes	characteristic
128	C₃×#416	C₂²	1	1	yes	characteristic
129	C₃×#416	C₂²	1	1	yes	characteristic
130	C₂×C₃×#103	C₂²	1	1	yes	characteristic
131	C₂×C₃×#102	C₂²	1	1	yes	characteristic
132	C₃×#408	C₂²	1	1	yes	characteristic
133	C₃×#408	C₂²	1	1	yes	characteristic
134	C₃×#405	C₂²	1	1	yes	characteristic
135	C₃×#405	C₂²	1	1	yes	characteristic
136	#3510	C₂×C₃	1	1	yes	characteristic, complemented
137	C₄×2₋¹⁺⁴	C₂×C₃	1	1	yes	characteristic, complemented
138	#3125	C₂×C₃	1	2	yes	complemented
139	#3124	C₂×C₃	1	2	yes	complemented
140	#3121	C₂×C₃	1	2	yes	complemented
141	#3121	C₂×C₃	1	2	yes	complemented
142	#3117	C₂×C₃	1	2	yes	complemented
143	#3111	C₂×C₃	1	2	yes	complemented
144	#3108	C₂×C₃	1	2	yes	complemented
145	#3102	C₂×C₃	1	2	yes	complemented
146	#3097	C₂×C₃	1	1	yes	characteristic, complemented
147	#3096	C₂×C₃	1	1	yes	characteristic, complemented
148	#3078	C₂×C₃	1	1	yes	characteristic, complemented
149	#3076	C₂×C₃	1	1	yes	characteristic, complemented
150	#3040	C₂×C₃	1	1	yes	characteristic, complemented
151	C₂×#464	C₂×C₃	1	1	yes	characteristic, complemented
152	#3011	C₂×C₃	1	1	yes	characteristic, complemented
153	#3010	C₂×C₃	1	1	yes	characteristic
154	#2950	C₂×C₃	1	1	yes	characteristic, complemented
155	#2949	C₂×C₃	1	1	yes	characteristic, complemented
156	#2947	C₂×C₃	1	1	yes	characteristic, complemented
157	#2946	C₂×C₃	1	1	yes	characteristic, complemented
158	#2925	C₂×C₃	1	1	yes	characteristic, complemented
159	C₃×2₋¹⁺⁴	—	2	4	no	—
160	C₃×2₋¹⁺⁴	—	2	4	no	—
161	C₂×C₃×#41	—	2	2	no	—
162	C₂×C₃×#41	—	2	1	no	—
163	C₂×C₃×#41	C₂³	1	2	yes	—
164	C₂×C₃×#41	C₂³	1	1	yes	characteristic
165	C₂×C₃×#41	C₂³	1	1	yes	characteristic
166	C₂²×C₃×Q₈	—	2	1	no	—
167	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
168	C₂²×C₃×Q₈	C₂³	1	2	yes	—
169	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
170	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
171	C₃×#137	—	2	4	no	—
172	C₃×AGL(1,ℤ/8)	—	2	4	no	—
173	C₂×C₃×Q₁₆	—	2	4	no	—
174	C₂×C₃×Q₁₆	C₂³	1	2	yes	—
175	C₂×C₃×Q₁₆	C₂³	1	2	yes	—
176	C₂×C₃×Q₁₆	C₂³	1	2	yes	—
177	C₂×C₃×SD₁₆	—	2	4	no	—
178	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
179	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
180	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
181	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
182	C₂×C₃×D₈	C₂³	1	2	yes	—
183	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
184	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
185	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
186	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
187	C₃×C₄⋊Q₈	—	2	1	no	—
188	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
189	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
190	C₃×#127	—	2	1	no	—
191	C₃×#126	—	2	2	no	—
192	C₃×#126	—	2	2	no	—
193	C₃×#126	—	2	2	no	—
194	C₃×#126	—	2	2	no	—
195	C₃×#125	C₂³	1	1	yes	characteristic
196	C₃×#125	C₂³	1	1	yes	characteristic
197	C₃×#124	—	2	1	no	—
198	C₃×#124	—	2	1	no	—
199	C₃×#124	—	2	2	no	—
200	C₃×#124	—	2	2	no	—
201	C₃×#124	—	2	1	no	—
202	C₃×#124	—	2	1	no	—
203	C₃×#124	C₂³	1	2	yes	—
204	C₃×#124	C₂³	1	2	yes	—
205	C₃×#123	—	2	2	no	—
206	C₃×#123	—	2	2	no	—
207	C₃×#123	—	2	2	no	—
208	C₃×#123	—	2	2	no	—
209	C₃×#123	—	2	2	no	—
210	C₃×C₂²⋊Q₈	—	2	1	no	—
211	C₃×C₂²⋊Q₈	—	2	1	no	—
212	C₃×C₂²⋊Q₈	—	2	2	no	—
213	C₃×C₂²⋊Q₈	—	2	2	no	—
214	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
215	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
216	C₃×#121	C₂³	1	2	yes	—
217	C₃×#121	C₂³	1	2	yes	—
218	C₃×#120	—	2	2	no	—
219	C₃×C₄×Q₈	—	2	1	no	—
220	C₃×C₄×Q₈	—	2	1	no	—
221	C₃×C₄×Q₈	—	2	1	no	—
222	C₃×C₄×Q₈	—	2	1	no	—
223	C₃×C₄×Q₈	—	2	2	no	—
224	C₃×C₄×Q₈	—	2	1	no	—
225	C₃×C₄×Q₈	—	2	2	no	—
226	C₃×C₄×Q₈	—	2	1	no	—
227	C₃×C₄×Q₈	—	2	1	no	—
228	C₃×C₄×Q₈	—	2	1	no	—
229	C₃×C₄×Q₈	—	2	2	no	—
230	C₃×C₄×Q₈	—	2	1	no	—
231	C₃×C₄×Q₈	—	2	2	no	—
232	C₃×C₄×Q₈	D₄	1	1	yes	characteristic
233	C₃×C₄×Q₈	D₄	1	1	yes	characteristic
234	C₃×C₄×Q₈	C₂³	1	2	yes	—
235	C₃×C₄×Q₈	C₂³	1	2	yes	—
236	C₃×C₄×Q₈	C₂³	1	2	yes	—
237	C₃×C₄×Q₈	C₂³	1	2	yes	—
238	C₃×C₄×Q₈	C₂³	1	2	yes	—
239	C₃×C₄×Q₈	C₂³	1	2	yes	—
240	C₃×C₄×Q₈	C₂³	1	2	yes	—
241	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
242	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
243	C₃×C₄×D₄	—	2	2	no	—
244	C₃×C₄×D₄	—	2	1	no	—
245	C₃×C₄×D₄	—	2	2	no	—
246	C₃×C₄×D₄	—	2	2	no	—
247	C₃×C₄×D₄	—	2	1	no	—
248	C₃×C₄×D₄	—	2	2	no	—
249	C₃×C₄×D₄	—	2	1	no	—
250	C₃×C₄×D₄	—	2	2	no	—
251	C₃×C₄×D₄	—	2	1	no	—
252	C₃×C₄×D₄	—	2	1	no	—
253	C₃×C₄×D₄	—	2	2	no	—
254	C₃×C₄×D₄	—	2	2	no	—
255	C₃×C₄×D₄	—	2	2	no	—
256	C₃×C₄×D₄	D₄	1	1	yes	characteristic
257	C₃×C₄×D₄	D₄	1	1	yes	characteristic
258	C₃×C₄×D₄	D₄	1	2	yes	—
259	C₃×C₄×D₄	D₄	1	2	yes	—
260	C₃×C₄×D₄	C₂³	1	2	yes	—
261	C₃×C₄×D₄	C₂³	1	2	yes	—
262	C₃×C₄×D₄	C₂³	1	2	yes	—
263	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
264	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
265	C₃×#117	—	2	1	no	—
266	C₃×#117	—	2	2	no	—
267	C₃×#117	—	2	2	no	—
268	C₃×#117	—	2	2	no	—
269	C₃×#117	—	2	2	no	—
270	C₃×#117	—	2	2	no	—
271	C₃×#117	—	2	1	no	—
272	C₃×#117	—	2	2	no	—
273	C₃×#117	—	2	2	no	—
274	C₃×#117	—	2	2	no	—
275	C₃×#117	C₂³	1	1	yes	characteristic
276	C₃×#117	C₂³	1	1	yes	characteristic
277	C₃×#117	C₂³	1	1	yes	characteristic
278	C₃×#117	C₂³	1	2	yes	—
279	C₃×#117	C₂³	1	1	yes	characteristic
280	C₃×#117	C₂³	1	2	yes	—
281	C₂×C₃×C₄⋊C₄	—	2	1	no	—
282	C₂×C₃×C₄⋊C₄	—	2	2	no	—
283	C₂×C₃×C₄⋊C₄	—	2	1	no	—
284	C₂×C₃×C₄⋊C₄	—	2	2	no	—
285	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
287	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
288	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
289	C₂×C₃×C₂²⋊C₄	—	2	2	no	—
290	C₂×C₃×C₄²	—	2	1	no	—
291	C₂×C₃×C₄²	—	2	2	no	—
292	C₂×C₃×C₄²	—	2	1	no	—
293	C₂×C₃×C₄²	—	2	2	no	—
294	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
295	C₂×C₃×C₄²	C₂³	1	2	yes	—
296	C₃×#107	C₂³	1	1	yes	characteristic
297	C₃×#107	C₂³	1	1	yes	characteristic
298	C₃×#107	C₂³	1	1	yes	characteristic
299	C₃×#107	C₂³	1	1	yes	characteristic
300	C₃×#107	C₂³	1	2	yes	—
301	C₃×#107	C₂³	1	2	yes	—
302	C₃×#106	C₂³	1	1	yes	characteristic
303	C₃×#106	C₂³	1	1	yes	characteristic
304	C₃×#106	C₂³	1	1	yes	characteristic
305	C₃×#106	C₂³	1	1	yes	characteristic
306	C₃×#106	C₂³	1	2	yes	—
307	C₃×#106	C₂³	1	2	yes	—
308	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
309	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
310	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
311	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
312	C₃×C₄⋊C₈	C₂³	1	2	yes	—
313	C₃×C₄⋊C₈	C₂³	1	2	yes	—
314	C₃×#103	C₂³	1	2	yes	—
315	C₃×#103	C₂³	1	2	yes	—
316	C₃×#103	C₂³	1	1	yes	characteristic
317	C₃×#103	C₂³	1	1	yes	characteristic
318	C₃×#103	C₂³	1	1	yes	characteristic
319	C₃×#103	C₂³	1	1	yes	characteristic
320	C₃×#103	C₂³	1	2	yes	—
321	C₃×#103	C₂³	1	2	yes	—
322	C₃×#103	C₂³	1	2	yes	—
323	C₃×#103	C₂³	1	2	yes	—
324	C₃×#103	C₂³	1	2	yes	—
325	C₃×#103	C₂³	1	2	yes	—
326	C₃×#102	C₂³	1	2	yes	—
327	C₃×#102	C₂³	1	2	yes	—
328	C₃×#102	C₂³	1	1	yes	characteristic
329	C₃×#102	C₂³	1	1	yes	characteristic
330	C₃×#102	C₂³	1	1	yes	characteristic
331	C₃×#102	C₂³	1	1	yes	characteristic
332	C₃×#102	C₂³	1	2	yes	—
333	C₃×#102	C₂³	1	2	yes	—
334	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
335	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
336	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
337	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
338	C₃×#97	C₂³	1	2	yes	—
339	C₃×#97	C₂³	1	2	yes	—
340	C₃×C₄×C₈	C₂³	1	2	yes	—
341	C₃×C₄×C₈	C₂³	1	2	yes	—
342	C₂×2₋¹⁺⁴	C₂²×C₃	1	1	yes	characteristic
343	C₂×#137	C₂²×C₃	1	1	yes	characteristic
344	C₂×AGL(1,ℤ/8)	C₂²×C₃	1	1	yes	characteristic
345	C₂²×Q₁₆	C₂²×C₃	1	1	yes	characteristic
346	C₂²×SD₁₆	C₂²×C₃	1	1	yes	characteristic
347	#559	—	2	1	no	—
348	#559	—	2	1	no	—
349	#556	—	2	1	no	—
350	#556	—	2	1	no	—
351	#551	—	2	2	no	—
352	#551	—	2	2	no	—
353	#542	C₂²×C₃	1	2	yes	—
354	#542	C₂²×C₃	1	2	yes	—
355	#536	C₂²×C₃	1	1	yes	characteristic
356	#535	C₂²×C₃	1	1	yes	characteristic
357	#533	C₂²×C₃	1	1	yes	characteristic
358	#529	C₂²×C₃	1	2	yes	—
359	#529	C₂²×C₃	1	2	yes	—
360	C₂×#124	C₂²×C₃	1	1	yes	characteristic
361	#520	—	2	2	no	—
362	#520	—	2	1	no	—
363	#520	C₂²×C₃	1	1	yes	characteristic
364	#520	C₂²×C₃	1	1	yes	characteristic
365	#520	C₂²×C₃	1	2	yes	complemented
366	#519	—	2	1	no	—
367	#519	C₂²×C₃	1	1	yes	characteristic
368	#519	C₂²×C₃	1	1	yes	characteristic
369	#519	C₂²×C₃	1	2	yes	complemented
370	#518	C₂²×C₃	1	1	yes	characteristic
371	C₄×#41	—	2	2	no	—
372	C₄×#41	—	2	1	no	—
373	C₄×#41	C₂²×C₃	1	1	yes	characteristic
374	C₄×#41	C₂²×C₃	1	1	yes	characteristic
375	C₄×#41	C₂²×C₃	1	2	yes	complemented
376	C₂×C₄×Q₈	—	2	1	no	—
377	C₂×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic
378	C₂×C₄×Q₈	C₂²×C₃	1	2	yes	complemented
379	#485	C₂²×C₃	1	2	yes	complemented
380	#485	C₂²×C₃	1	2	yes	complemented
381	#484	C₂²×C₃	1	2	yes	complemented
382	#483	C₂²×C₃	1	2	yes	complemented
383	#482	C₂²×C₃	1	2	yes	—
384	#482	C₂²×C₃	1	2	yes	—
385	#481	C₂²×C₃	1	2	yes	—
386	#480	C₂²×C₃	1	2	yes	—
387	#479	C₂²×C₃	1	1	yes	characteristic, complemented
388	#479	C₂²×C₃	1	1	yes	characteristic, complemented
389	#479	C₂²×C₃	1	2	yes	complemented
390	#479	C₂²×C₃	1	2	yes	complemented
391	#478	C₂²×C₃	1	1	yes	characteristic, complemented
392	#478	C₂²×C₃	1	1	yes	characteristic, complemented
393	#477	C₂²×C₃	1	1	yes	characteristic, complemented
394	#477	C₂²×C₃	1	2	yes	complemented
395	#476	C₂²×C₃	1	1	yes	characteristic, complemented
396	#475	C₂²×C₃	1	1	yes	characteristic, complemented
397	#475	C₂²×C₃	1	2	yes	complemented
398	#474	C₂²×C₃	1	1	yes	characteristic, complemented
399	#464	C₂²×C₃	1	2	yes	—
400	#464	C₂²×C₃	1	2	yes	—
401	#464	C₂²×C₃	1	2	yes	—
402	#464	C₂²×C₃	1	2	yes	—
403	#464	C₂²×C₃	1	2	yes	—
404	#464	C₂²×C₃	1	2	yes	—
405	#463	C₂²×C₃	1	2	yes	—
406	#463	C₂²×C₃	1	2	yes	—
407	#452	C₂²×C₃	1	2	yes	complemented
408	#452	C₂²×C₃	1	2	yes	complemented
409	#451	C₂²×C₃	1	2	yes	complemented
410	#451	C₂²×C₃	1	2	yes	complemented
411	#449	C₂²×C₃	1	2	yes	—
412	#449	C₂²×C₃	1	2	yes	—
413	#448	C₂²×C₃	1	2	yes	—
414	#448	C₂²×C₃	1	2	yes	—
415	#442	C₂²×C₃	1	2	yes	—
416	#441	C₂²×C₃	1	2	yes	complemented
417	#441	C₂²×C₃	1	2	yes	complemented
418	#441	C₂²×C₃	1	2	yes	complemented
419	#440	C₂²×C₃	1	2	yes	—
420	#440	C₂²×C₃	1	2	yes	—
421	#440	C₂²×C₃	1	2	yes	—
422	#440	C₂²×C₃	1	2	yes	complemented
423	C₄×Q₁₆	C₂²×C₃	1	2	yes	complemented
424	C₄×Q₁₆	C₂²×C₃	1	2	yes	complemented
425	C₄×Q₁₆	C₂²×C₃	1	2	yes	complemented
426	C₄×SD₁₆	C₂²×C₃	1	2	yes	—
427	C₄×SD₁₆	C₂²×C₃	1	2	yes	—
428	C₄×SD₁₆	C₂²×C₃	1	2	yes	—
429	C₄×SD₁₆	C₂²×C₃	1	2	yes	complemented
430	C₄×D₈	C₂²×C₃	1	2	yes	—
431	#433	C₂²×C₃	1	2	yes	complemented
432	#433	C₂²×C₃	1	2	yes	complemented
433	#432	C₂²×C₃	1	2	yes	complemented
434	#431	C₂²×C₃	1	2	yes	complemented
435	#428	C₂²×C₃	1	1	yes	characteristic
436	#428	C₂²×C₃	1	1	yes	characteristic
437	#427	C₂²×C₃	1	1	yes	characteristic
438	#427	C₂²×C₃	1	1	yes	characteristic
439	#423	C₂²×C₃	1	1	yes	characteristic
440	C₂×C₄⋊C₈	C₂²×C₃	1	1	yes	characteristic
441	#419	C₂²×C₃	1	1	yes	characteristic
442	#419	C₂²×C₃	1	1	yes	characteristic
443	#419	C₂²×C₃	1	1	yes	characteristic
444	#418	C₂²×C₃	1	1	yes	characteristic
445	#416	C₂²×C₃	1	1	yes	characteristic
446	#416	C₂²×C₃	1	1	yes	characteristic
447	C₂×#103	C₂²×C₃	1	1	yes	characteristic
448	C₂×#102	C₂²×C₃	1	1	yes	characteristic
449	#408	C₂²×C₃	1	1	yes	characteristic
450	#408	C₂²×C₃	1	1	yes	characteristic
451	#405	C₂²×C₃	1	1	yes	characteristic
452	#405	C₂²×C₃	1	1	yes	characteristic
453	C₂⁴×C₃	—	2	1	no	—
454	C₃×#41	—	2	16	no	—
455	C₃×#41	—	2	8	no	—
456	C₃×#41	—	2	4	no	—
457	C₃×#41	—	2	4	no	—
458	C₃×#41	—	2	2	no	—
459	C₃×#41	—	2	2	no	—
460	C₃×#41	—	2	2	no	—
461	C₃×#41	#41	1	4	yes	—
462	C₂×C₃×Q₈	—	2	8	no	—
463	C₂×C₃×Q₈	—	2	4	no	—
464	C₂×C₃×Q₈	—	2	4	no	—
465	C₂×C₃×Q₈	—	2	2	no	—
466	C₂×C₃×Q₈	—	2	1	no	—
467	C₂×C₃×Q₈	—	2	1	no	—
468	C₂×C₃×Q₈	—	2	1	no	—
469	C₂×C₃×Q₈	—	2	1	no	—
470	C₂×C₃×Q₈	—	2	2	no	—
471	C₂×C₃×Q₈	—	2	2	no	—
472	C₂×C₃×Q₈	—	2	2	no	—
473	C₂×C₃×Q₈	C₂×D₄	1	1	yes	characteristic
474	C₂×C₃×Q₈	#41	1	4	yes	—
475	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
476	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
477	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
478	C₂×C₃×D₄	—	2	2	no	—
479	C₂×C₃×D₄	—	2	1	no	—
480	C₂×C₃×D₄	—	2	2	no	—
481	C₂×C₃×D₄	—	2	2	no	—
482	C₂×C₃×D₄	—	2	1	no	—
483	C₂×C₃×D₄	—	2	2	no	—
484	C₂×C₃×D₄	—	2	2	no	—
485	C₂×C₃×D₄	C₂×D₄	1	2	yes	—
486	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
487	C₂×C₃×D₄	C₂⁴	1	2	yes	—
488	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
489	C₂²×C₃×C₄	—	2	2	no	—
490	C₂²×C₃×C₄	—	2	1	no	—
491	C₂²×C₃×C₄	—	2	2	no	—
492	C₂²×C₃×C₄	—	2	1	no	—
493	C₂²×C₃×C₄	—	2	1	no	—
494	C₂²×C₃×C₄	—	2	2	no	—
495	C₂²×C₃×C₄	—	2	1	no	—
496	C₂²×C₃×C₄	—	2	1	no	—
497	C₂²×C₃×C₄	—	2	2	no	—
498	C₂²×C₃×C₄	—	2	1	no	—
499	C₂²×C₃×C₄	—	2	2	no	—
500	C₂²×C₃×C₄	—	2	2	no	—
501	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
502	C₂²×C₃×C₄	C₂×D₄	1	2	yes	—
503	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
504	C₂²×C₃×C₄	C₂×D₄	1	2	yes	—
505	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
506	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
507	C₃×Q₁₆	—	2	4	no	—
508	C₃×Q₁₆	—	2	4	no	—
509	C₃×Q₁₆	—	2	4	no	—
510	C₃×SD₁₆	—	2	4	no	—
511	C₃×SD₁₆	—	2	4	no	—
512	C₃×SD₁₆	—	2	4	no	—
513	C₃×SD₁₆	—	2	4	no	—
514	C₃×D₈	—	2	4	no	—
515	C₃×M₁₆	—	2	2	no	—
516	C₃×M₁₆	—	2	2	no	—
517	C₂×C₃×C₈	—	2	2	no	—
518	C₂×C₃×C₈	—	2	2	no	—
519	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
520	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
521	C₂×C₃×C₈	C₂⁴	1	2	yes	—
522	C₂×C₃×C₈	C₂⁴	1	2	yes	—
523	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
524	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
525	C₃×C₄⋊C₄	—	2	2	no	—
526	C₃×C₄⋊C₄	—	2	2	no	—
527	C₃×C₄⋊C₄	—	2	2	no	—
528	C₃×C₄⋊C₄	—	2	2	no	—
529	C₃×C₄⋊C₄	—	2	1	no	—
530	C₃×C₄⋊C₄	—	2	2	no	—
531	C₃×C₄⋊C₄	—	2	1	no	—
532	C₃×C₄⋊C₄	—	2	2	no	—
533	C₃×C₄⋊C₄	—	2	1	no	—
534	C₃×C₄⋊C₄	—	2	1	no	—
535	C₃×C₄⋊C₄	—	2	1	no	—
536	C₃×C₄⋊C₄	—	2	2	no	—
537	C₃×C₄⋊C₄	—	2	2	no	—
538	C₃×C₄⋊C₄	—	2	2	no	—
539	C₃×C₄⋊C₄	—	2	2	no	—
540	C₃×C₄⋊C₄	—	2	1	no	—
541	C₃×C₄⋊C₄	—	2	1	no	—
542	C₃×C₄⋊C₄	—	2	1	no	—
543	C₃×C₄⋊C₄	—	2	1	no	—
544	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
545	C₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
546	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
547	C₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
548	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
549	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
550	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
551	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
552	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
553	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
554	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
555	C₃×C₂²⋊C₄	—	2	1	no	—
556	C₃×C₂²⋊C₄	—	2	2	no	—
557	C₃×C₂²⋊C₄	—	2	1	no	—
558	C₃×C₂²⋊C₄	—	2	1	no	—
559	C₃×C₂²⋊C₄	—	2	2	no	—
560	C₃×C₂²⋊C₄	—	2	2	no	—
561	C₃×C₂²⋊C₄	—	2	2	no	—
562	C₃×C₂²⋊C₄	—	2	2	no	—
563	C₃×C₂²⋊C₄	—	2	2	no	—
564	C₃×C₂²⋊C₄	—	2	2	no	—
565	C₃×C₂²⋊C₄	—	2	2	no	—
566	C₃×C₂²⋊C₄	—	2	2	no	—
567	C₃×C₂²⋊C₄	—	2	1	no	—
568	C₃×C₂²⋊C₄	—	2	2	no	—
569	C₃×C₂²⋊C₄	—	2	1	no	—
570	C₃×C₂²⋊C₄	—	2	2	no	—
571	C₃×C₂²⋊C₄	—	2	2	no	—
572	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
573	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
574	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
575	C₃×C₄²	—	2	2	no	—
576	C₃×C₄²	—	2	1	no	—
577	C₃×C₄²	—	2	2	no	—
578	C₃×C₄²	—	2	1	no	—
579	C₃×C₄²	—	2	2	no	—
580	C₃×C₄²	—	2	2	no	—
581	C₃×C₄²	—	2	2	no	—
582	C₃×C₄²	—	2	2	no	—
583	C₃×C₄²	—	2	1	no	—
584	C₃×C₄²	—	2	2	no	—
585	C₃×C₄²	—	2	2	no	—
586	C₃×C₄²	—	2	1	no	—
587	C₃×C₄²	—	2	1	no	—
588	C₃×C₄²	C₂×D₄	1	2	yes	—
589	C₃×C₄²	C₂×D₄	1	1	yes	characteristic
590	C₃×C₄²	C₂×D₄	1	2	yes	—
591	C₃×C₄²	C₂×D₄	1	1	yes	characteristic
592	C₃×C₄²	C₂⁴	1	2	yes	—
593	C₃×C₄²	C₂⁴	1	1	yes	characteristic
594	C₃×C₄²	C₂⁴	1	1	yes	characteristic
595	2₋¹⁺⁴	—	2	4	no	—
596	2₋¹⁺⁴	—	2	4	no	—
597	C₂×#41	—	2	2	no	—
598	C₂×#41	—	2	1	no	—
599	C₂×#41	C₂³×C₃	1	2	yes	—
600	C₂×#41	C₂³×C₃	1	1	yes	characteristic
601	C₂×#41	C₂³×C₃	1	1	yes	characteristic
602	C₂²×Q₈	—	2	1	no	—
603	C₂²×Q₈	C₂³×C₃	1	2	yes	—
604	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
605	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
606	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
607	#137	—	2	4	no	—
608	AGL(1,ℤ/8)	—	2	4	no	—
609	C₂×Q₁₆	—	2	4	no	—
610	C₂×Q₁₆	C₂³×C₃	1	2	yes	—
611	C₂×Q₁₆	C₂³×C₃	1	2	yes	—
612	C₂×Q₁₆	C₂³×C₃	1	2	yes	—
613	C₂×SD₁₆	—	2	4	no	—
614	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
615	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
616	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
617	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
618	C₂×D₈	C₂³×C₃	1	2	yes	—
619	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
620	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
621	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
622	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
623	C₄⋊Q₈	—	2	1	no	—
624	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
625	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
626	#127	—	2	1	no	—
627	#126	—	2	2	no	—
628	#126	—	2	2	no	—
629	#126	—	2	2	no	—
630	#126	—	2	2	no	—
631	#125	C₂³×C₃	1	1	yes	characteristic
632	#125	C₂³×C₃	1	1	yes	characteristic
633	#124	—	2	1	no	—
634	#124	—	2	1	no	—
635	#124	—	2	2	no	—
636	#124	—	2	2	no	—
637	#124	—	2	1	no	—
638	#124	—	2	1	no	—
639	#124	C₂³×C₃	1	2	yes	—
640	#124	C₂³×C₃	1	2	yes	—
641	#123	—	2	2	no	—
642	#123	—	2	2	no	—
643	#123	—	2	2	no	—
644	#123	—	2	2	no	—
645	#123	—	2	2	no	—
646	C₂²⋊Q₈	—	2	1	no	—
647	C₂²⋊Q₈	—	2	1	no	—
648	C₂²⋊Q₈	—	2	2	no	—
649	C₂²⋊Q₈	—	2	2	no	—
650	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
651	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
652	#121	C₂³×C₃	1	2	yes	—
653	#121	C₂³×C₃	1	2	yes	—
654	#120	—	2	2	no	—
655	C₄×Q₈	—	2	1	no	—
656	C₄×Q₈	—	2	1	no	—
657	C₄×Q₈	—	2	2	no	—
658	C₄×Q₈	—	2	1	no	—
659	C₄×Q₈	—	2	2	no	—
660	C₄×Q₈	—	2	1	no	—
661	C₄×Q₈	—	2	1	no	—
662	C₄×Q₈	—	2	1	no	—
663	C₄×Q₈	—	2	2	no	—
664	C₄×Q₈	—	2	1	no	—
665	C₄×Q₈	—	2	2	no	—
666	C₄×Q₈	—	2	1	no	—
667	C₄×Q₈	—	2	1	no	—
668	C₄×Q₈	C₃×D₄	1	1	yes	characteristic
669	C₄×Q₈	C₃×D₄	1	1	yes	characteristic
670	C₄×Q₈	C₂³×C₃	1	2	yes	—
671	C₄×Q₈	C₂³×C₃	1	2	yes	—
672	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
673	C₄×Q₈	C₂³×C₃	1	2	yes	—
674	C₄×Q₈	C₂³×C₃	1	2	yes	—
675	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
676	C₄×Q₈	C₂³×C₃	1	2	yes	—
677	C₄×Q₈	C₂³×C₃	1	2	yes	—
678	C₄×Q₈	C₂³×C₃	1	2	yes	—
679	C₄×D₄	—	2	2	no	—
680	C₄×D₄	—	2	1	no	—
681	C₄×D₄	—	2	1	no	—
682	C₄×D₄	—	2	2	no	—
683	C₄×D₄	—	2	1	no	—
684	C₄×D₄	—	2	2	no	—
685	C₄×D₄	—	2	2	no	—
686	C₄×D₄	—	2	2	no	—
687	C₄×D₄	—	2	1	no	—
688	C₄×D₄	—	2	1	no	—
689	C₄×D₄	—	2	2	no	—
690	C₄×D₄	—	2	2	no	—
691	C₄×D₄	—	2	2	no	—
692	C₄×D₄	C₃×D₄	1	2	yes	—
693	C₄×D₄	C₃×D₄	1	1	yes	characteristic
694	C₄×D₄	C₃×D₄	1	2	yes	—
695	C₄×D₄	C₃×D₄	1	1	yes	characteristic
696	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
697	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
698	C₄×D₄	C₂³×C₃	1	2	yes	—
699	C₄×D₄	C₂³×C₃	1	2	yes	—
700	C₄×D₄	C₂³×C₃	1	2	yes	—
701	#117	—	2	1	no	—
702	#117	—	2	2	no	—
703	#117	—	2	2	no	—
704	#117	—	2	2	no	—
705	#117	—	2	2	no	—
706	#117	—	2	2	no	—
707	#117	—	2	1	no	—
708	#117	—	2	2	no	—
709	#117	—	2	2	no	—
710	#117	—	2	2	no	—
711	#117	C₂³×C₃	1	1	yes	characteristic
712	#117	C₂³×C₃	1	2	yes	—
713	#117	C₂³×C₃	1	1	yes	characteristic
714	#117	C₂³×C₃	1	1	yes	characteristic
715	#117	C₂³×C₃	1	1	yes	characteristic
716	#117	C₂³×C₃	1	2	yes	—
717	C₂×C₄⋊C₄	—	2	1	no	—
718	C₂×C₄⋊C₄	—	2	2	no	—
719	C₂×C₄⋊C₄	—	2	1	no	—
720	C₂×C₄⋊C₄	—	2	2	no	—
721	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
722	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
723	C₂×C₂²⋊C₄	—	2	1	no	—
724	C₂×C₂²⋊C₄	—	2	1	no	—
725	C₂×C₂²⋊C₄	—	2	2	no	—
726	C₂×C₄²	—	2	1	no	—
727	C₂×C₄²	—	2	2	no	—
728	C₂×C₄²	—	2	1	no	—
729	C₂×C₄²	—	2	2	no	—
730	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
731	C₂×C₄²	C₂³×C₃	1	2	yes	—
732	#107	C₂³×C₃	1	1	yes	characteristic
733	#107	C₂³×C₃	1	1	yes	characteristic
734	#107	C₂³×C₃	1	1	yes	characteristic
735	#107	C₂³×C₃	1	1	yes	characteristic
736	#107	C₂³×C₃	1	2	yes	—
737	#107	C₂³×C₃	1	2	yes	—
738	#106	C₂³×C₃	1	1	yes	characteristic
739	#106	C₂³×C₃	1	1	yes	characteristic
740	#106	C₂³×C₃	1	1	yes	characteristic
741	#106	C₂³×C₃	1	1	yes	characteristic
742	#106	C₂³×C₃	1	2	yes	—
743	#106	C₂³×C₃	1	2	yes	—
744	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
745	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
746	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
747	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
748	C₄⋊C₈	C₂³×C₃	1	2	yes	—
749	C₄⋊C₈	C₂³×C₃	1	2	yes	—
750	#103	C₂³×C₃	1	2	yes	—
751	#103	C₂³×C₃	1	2	yes	—
752	#103	C₂³×C₃	1	1	yes	characteristic
753	#103	C₂³×C₃	1	1	yes	characteristic
754	#103	C₂³×C₃	1	1	yes	characteristic
755	#103	C₂³×C₃	1	1	yes	characteristic
756	#103	C₂³×C₃	1	2	yes	—
757	#103	C₂³×C₃	1	2	yes	—
758	#103	C₂³×C₃	1	2	yes	—
759	#103	C₂³×C₃	1	2	yes	—
760	#103	C₂³×C₃	1	2	yes	—
761	#103	C₂³×C₃	1	2	yes	—
762	#102	C₂³×C₃	1	2	yes	—
763	#102	C₂³×C₃	1	2	yes	—
764	#102	C₂³×C₃	1	1	yes	characteristic
765	#102	C₂³×C₃	1	1	yes	characteristic
766	#102	C₂³×C₃	1	1	yes	characteristic
767	#102	C₂³×C₃	1	1	yes	characteristic
768	#102	C₂³×C₃	1	2	yes	—
769	#102	C₂³×C₃	1	2	yes	—
770	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
771	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
772	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
773	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
774	#97	C₂³×C₃	1	2	yes	—
775	#97	C₂³×C₃	1	2	yes	—
776	C₄×C₈	C₂³×C₃	1	2	yes	—
777	C₄×C₈	C₂³×C₃	1	2	yes	—
778	C₂³×C₃	—	2	1	no	—
779	C₂³×C₃	—	2	2	no	—
780	C₂³×C₃	—	4	2	no	—
781	C₂³×C₃	—	8	1	no	—
782	C₂³×C₃	—	8	1	no	—
783	C₂³×C₃	C₂²×D₄	1	2	yes	—
784	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
785	C₃×Q₈	—	2	8	no	—
786	C₃×Q₈	—	2	2	no	—
787	C₃×Q₈	—	2	4	no	—
788	C₃×Q₈	—	2	1	no	—
789	C₃×Q₈	—	2	2	no	—
790	C₃×Q₈	—	2	2	no	—
791	C₃×Q₈	—	2	2	no	—
792	C₃×Q₈	—	4	2	no	—
793	C₃×Q₈	—	8	1	no	—
794	C₃×Q₈	—	8	1	no	—
795	C₃×Q₈	C₂×#41	1	2	yes	—
796	C₃×Q₈	C₂×#41	1	4	yes	—
797	C₃×D₄	—	2	8	no	—
798	C₃×D₄	—	2	4	no	—
799	C₃×D₄	—	2	4	no	—
800	C₃×D₄	—	2	2	no	—
801	C₃×D₄	—	2	1	no	—
802	C₃×D₄	—	2	2	no	—
803	C₃×D₄	—	2	2	no	—
804	C₃×D₄	—	4	2	no	—
805	C₃×D₄	—	8	2	no	—
806	C₃×D₄	—	8	2	no	—
807	C₃×D₄	C₂×#41	1	2	yes	—
808	C₂×C₃×C₄	—	2	8	no	—
809	C₂×C₃×C₄	—	2	8	no	—
810	C₂×C₃×C₄	—	2	4	no	—
811	C₂×C₃×C₄	—	2	2	no	—
812	C₂×C₃×C₄	—	2	1	no	—
813	C₂×C₃×C₄	—	2	4	no	—
814	C₂×C₃×C₄	—	2	2	no	—
815	C₂×C₃×C₄	—	2	2	no	—
816	C₂×C₃×C₄	—	2	1	no	—
817	C₂×C₃×C₄	—	2	2	no	—
818	C₂×C₃×C₄	—	2	1	no	—
819	C₂×C₃×C₄	—	2	1	no	—
820	C₂×C₃×C₄	—	2	1	no	—
821	C₂×C₃×C₄	—	2	2	no	—
822	C₂×C₃×C₄	—	2	1	no	—
823	C₂×C₃×C₄	—	2	1	no	—
824	C₂×C₃×C₄	—	4	2	no	—
825	C₂×C₃×C₄	—	4	1	no	—
826	C₂×C₃×C₄	—	4	2	no	—
827	C₂×C₃×C₄	—	4	1	no	—
828	C₂×C₃×C₄	—	4	2	no	—
829	C₂×C₃×C₄	—	4	2	no	—
830	C₂×C₃×C₄	—	8	2	no	—
831	C₂×C₃×C₄	—	8	2	no	—
832	C₂×C₃×C₄	—	8	1	no	—
833	C₂×C₃×C₄	—	8	2	no	—
834	C₂×C₃×C₄	—	8	1	no	—
835	C₂×C₃×C₄	—	8	2	no	—
836	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
837	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
838	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
839	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
840	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
841	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
842	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
843	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
844	C₂×C₃×C₄	C₂×#41	1	2	yes	—
845	C₂×C₃×C₄	C₂×#41	1	2	yes	—
846	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
847	C₃×C₈	—	2	1	no	—
848	C₃×C₈	—	2	1	no	—
849	C₃×C₈	—	2	1	no	—
850	C₃×C₈	—	2	1	no	—
851	C₃×C₈	—	2	2	no	—
852	C₃×C₈	—	2	2	no	—
853	C₂⁴	—	2	1	no	—
854	#41	—	2	16	no	—
855	#41	—	2	8	no	—
856	#41	—	2	4	no	—
857	#41	—	2	4	no	—
858	#41	—	2	2	no	—
859	#41	—	2	2	no	—
860	#41	—	2	2	no	—
861	#41	C₃×#41	1	4	yes	—
862	C₂×Q₈	—	2	8	no	—
863	C₂×Q₈	—	2	4	no	—
864	C₂×Q₈	—	2	4	no	—
865	C₂×Q₈	—	2	2	no	—
866	C₂×Q₈	—	2	1	no	—
867	C₂×Q₈	—	2	1	no	—
868	C₂×Q₈	—	2	1	no	—
869	C₂×Q₈	—	2	1	no	—
870	C₂×Q₈	—	2	2	no	—
871	C₂×Q₈	—	2	2	no	—
872	C₂×Q₈	—	2	2	no	—
873	C₂×Q₈	C₂×C₃×D₄	1	1	yes	characteristic
874	C₂×Q₈	C₃×#41	1	4	yes	—
875	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
876	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
877	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
878	C₂×D₄	—	2	2	no	—
879	C₂×D₄	—	2	1	no	—
880	C₂×D₄	—	2	2	no	—
881	C₂×D₄	—	2	2	no	—
882	C₂×D₄	—	2	1	no	—
883	C₂×D₄	—	2	2	no	—
884	C₂×D₄	—	2	2	no	—
885	C₂×D₄	C₂×C₃×D₄	1	2	yes	—
886	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
887	C₂×D₄	C₂⁴×C₃	1	2	yes	—
888	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
889	C₂²×C₄	—	2	2	no	—
890	C₂²×C₄	—	2	1	no	—
891	C₂²×C₄	—	2	2	no	—
892	C₂²×C₄	—	2	1	no	—
893	C₂²×C₄	—	2	1	no	—
894	C₂²×C₄	—	2	2	no	—
895	C₂²×C₄	—	2	1	no	—
896	C₂²×C₄	—	2	1	no	—
897	C₂²×C₄	—	2	2	no	—
898	C₂²×C₄	—	2	1	no	—
899	C₂²×C₄	—	2	2	no	—
900	C₂²×C₄	—	2	2	no	—
901	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
902	C₂²×C₄	C₂×C₃×D₄	1	2	yes	—
903	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
904	C₂²×C₄	C₂×C₃×D₄	1	2	yes	—
905	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
906	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
907	Q₁₆	—	2	4	no	—
908	Q₁₆	—	2	4	no	—
909	Q₁₆	—	2	4	no	—
910	SD₁₆	—	2	4	no	—
911	SD₁₆	—	2	4	no	—
912	SD₁₆	—	2	4	no	—
913	SD₁₆	—	2	4	no	—
914	D₈	—	2	4	no	—
915	M₁₆	—	2	2	no	—
916	M₁₆	—	2	2	no	—
917	C₂×C₈	—	2	2	no	—
918	C₂×C₈	—	2	2	no	—
919	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
920	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
921	C₂×C₈	C₂⁴×C₃	1	2	yes	—
922	C₂×C₈	C₂⁴×C₃	1	2	yes	—
923	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
924	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
925	C₄⋊C₄	—	2	2	no	—
926	C₄⋊C₄	—	2	2	no	—
927	C₄⋊C₄	—	2	2	no	—
928	C₄⋊C₄	—	2	2	no	—
929	C₄⋊C₄	—	2	1	no	—
930	C₄⋊C₄	—	2	2	no	—
931	C₄⋊C₄	—	2	1	no	—
932	C₄⋊C₄	—	2	2	no	—
933	C₄⋊C₄	—	2	1	no	—
934	C₄⋊C₄	—	2	1	no	—
935	C₄⋊C₄	—	2	1	no	—
936	C₄⋊C₄	—	2	2	no	—
937	C₄⋊C₄	—	2	2	no	—
938	C₄⋊C₄	—	2	2	no	—
939	C₄⋊C₄	—	2	2	no	—
940	C₄⋊C₄	—	2	1	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
945	C₄⋊C₄	C₂×C₃×D₄	1	2	yes	—
946	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
947	C₄⋊C₄	C₂×C₃×D₄	1	2	yes	—
948	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
949	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
950	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
951	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
952	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
953	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
954	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
955	C₂²⋊C₄	—	2	1	no	—
956	C₂²⋊C₄	—	2	2	no	—
957	C₂²⋊C₄	—	2	1	no	—
958	C₂²⋊C₄	—	2	1	no	—
959	C₂²⋊C₄	—	2	2	no	—
960	C₂²⋊C₄	—	2	2	no	—
961	C₂²⋊C₄	—	2	2	no	—
962	C₂²⋊C₄	—	2	2	no	—
963	C₂²⋊C₄	—	2	2	no	—
964	C₂²⋊C₄	—	2	2	no	—
965	C₂²⋊C₄	—	2	2	no	—
966	C₂²⋊C₄	—	2	2	no	—
967	C₂²⋊C₄	—	2	1	no	—
968	C₂²⋊C₄	—	2	2	no	—
969	C₂²⋊C₄	—	2	1	no	—
970	C₂²⋊C₄	—	2	2	no	—
971	C₂²⋊C₄	—	2	2	no	—
972	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
973	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
974	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
975	C₄²	—	2	2	no	—
976	C₄²	—	2	1	no	—
977	C₄²	—	2	2	no	—
978	C₄²	—	2	1	no	—
979	C₄²	—	2	2	no	—
980	C₄²	—	2	2	no	—
981	C₄²	—	2	2	no	—
982	C₄²	—	2	2	no	—
983	C₄²	—	2	1	no	—
984	C₄²	—	2	2	no	—
985	C₄²	—	2	2	no	—
986	C₄²	—	2	1	no	—
987	C₄²	—	2	1	no	—
988	C₄²	C₂×C₃×D₄	1	2	yes	—
989	C₄²	C₂×C₃×D₄	1	1	yes	characteristic
990	C₄²	C₂×C₃×D₄	1	2	yes	—
991	C₄²	C₂×C₃×D₄	1	1	yes	characteristic
992	C₄²	C₂⁴×C₃	1	2	yes	—
993	C₄²	C₂⁴×C₃	1	1	yes	characteristic
994	C₄²	C₂⁴×C₃	1	1	yes	characteristic
995	C₂²×C₃	—	2	1	no	—
996	C₂²×C₃	—	2	1	no	—
997	C₂²×C₃	—	2	2	no	—
998	C₂²×C₃	—	2	2	no	—
999	C₂²×C₃	—	2	2	no	—
1000	C₂²×C₃	—	2	2	no	—
1001	C₂²×C₃	—	4	1	no	—
1002	C₂²×C₃	—	4	1	no	—
1003	C₂²×C₃	—	4	2	no	—
1004	C₂²×C₃	—	4	2	no	—
1005	C₂²×C₃	—	4	2	no	—
1006	C₂²×C₃	—	16	2	no	—
1007	C₂²×C₃	#525	1	2	yes	—
1008	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1009	C₃×C₄	—	2	1	no	—
1010	C₃×C₄	—	2	2	no	—
1011	C₃×C₄	—	2	1	no	—
1012	C₃×C₄	—	2	1	no	—
1013	C₃×C₄	—	2	2	no	—
1014	C₃×C₄	—	2	1	no	—
1015	C₃×C₄	—	2	4	no	—
1016	C₃×C₄	—	2	2	no	—
1017	C₃×C₄	—	2	2	no	—
1018	C₃×C₄	—	4	2	no	—
1019	C₃×C₄	—	4	1	no	—
1020	C₃×C₄	—	4	1	no	—
1021	C₃×C₄	—	4	1	no	—
1022	C₃×C₄	—	4	1	no	—
1023	C₃×C₄	—	4	1	no	—
1024	C₃×C₄	—	4	1	no	—
1025	C₃×C₄	—	4	2	no	—
1026	C₃×C₄	#525	1	2	yes	—
1027	C₃×C₄	C₂²×#41	1	1	yes	characteristic
1028	C₃×C₄	C₂²×#41	1	1	yes	characteristic
1029	C₂³	—	2	1	no	—
1030	C₂³	—	2	2	no	—
1031	C₂³	—	4	2	no	—
1032	C₂³	—	8	1	no	—
1033	C₂³	—	8	1	no	—
1034	C₂³	C₂²×C₃×D₄	1	2	yes	—
1035	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1036	Q₈	—	2	8	no	—
1037	Q₈	—	2	1	no	—
1038	Q₈	—	2	2	no	—
1039	Q₈	—	2	2	no	—
1040	Q₈	—	2	4	no	—
1041	Q₈	—	2	2	no	—
1042	Q₈	—	2	2	no	—
1043	Q₈	—	4	2	no	—
1044	Q₈	—	8	1	no	—
1045	Q₈	—	8	1	no	—
1046	Q₈	C₂×C₃×#41	1	2	yes	—
1047	Q₈	C₂×C₃×#41	1	4	yes	—
1048	D₄	—	2	8	no	—
1049	D₄	—	2	4	no	—
1050	D₄	—	2	4	no	—
1051	D₄	—	2	1	no	—
1052	D₄	—	2	2	no	—
1053	D₄	—	2	2	no	—
1054	D₄	—	2	2	no	—
1055	D₄	—	4	2	no	—
1056	D₄	—	8	2	no	—
1057	D₄	—	8	2	no	—
1058	D₄	C₂×C₃×#41	1	2	yes	—
1059	C₂×C₄	—	2	8	no	—
1060	C₂×C₄	—	2	8	no	—
1061	C₂×C₄	—	2	2	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	4	no	—
1064	C₂×C₄	—	2	2	no	—
1065	C₂×C₄	—	2	2	no	—
1066	C₂×C₄	—	2	4	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	2	no	—
1069	C₂×C₄	—	2	1	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	4	2	no	—
1076	C₂×C₄	—	4	1	no	—
1077	C₂×C₄	—	4	2	no	—
1078	C₂×C₄	—	4	1	no	—
1079	C₂×C₄	—	4	2	no	—
1080	C₂×C₄	—	4	2	no	—
1081	C₂×C₄	—	8	2	no	—
1082	C₂×C₄	—	8	2	no	—
1083	C₂×C₄	—	8	1	no	—
1084	C₂×C₄	—	8	2	no	—
1085	C₂×C₄	—	8	1	no	—
1086	C₂×C₄	—	8	2	no	—
1087	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1088	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1089	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1090	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1091	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1092	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1093	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1094	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1095	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1096	C₂×C₄	C₂×C₃×#41	1	2	yes	—
1097	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1098	C₈	—	2	1	no	—
1099	C₈	—	2	1	no	—
1100	C₈	—	2	1	no	—
1101	C₈	—	2	1	no	—
1102	C₈	—	2	2	no	—
1103	C₈	—	2	2	no	—
1104	C₂×C₃	—	2	2	no	—
1105	C₂×C₃	—	4	2	no	—
1106	C₂×C₃	—	4	2	no	—
1107	C₂×C₃	—	8	2	no	—
1108	C₂×C₃	C₂×#525	1	1	yes	characteristic
1109	C₂×C₃	#3584	1	1	yes	characteristic
1110	C₂×C₃	#3586	1	1	yes	characteristic
1111	C₂²	—	2	1	no	—
1112	C₂²	—	2	1	no	—
1113	C₂²	—	2	2	no	—
1114	C₂²	—	2	2	no	—
1115	C₂²	—	2	2	no	—
1116	C₂²	—	2	2	no	—
1117	C₂²	—	4	1	no	—
1118	C₂²	—	4	1	no	—
1119	C₂²	—	4	2	no	—
1120	C₂²	—	4	2	no	—
1121	C₂²	—	4	2	no	—
1122	C₂²	—	16	2	no	—
1123	C₂²	C₃×#525	1	2	yes	—
1124	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1125	C₄	—	2	4	no	—
1126	C₄	—	2	2	no	—
1127	C₄	—	2	2	no	—
1128	C₄	—	2	1	no	—
1129	C₄	—	2	2	no	—
1130	C₄	—	2	1	no	—
1131	C₄	—	2	1	no	—
1132	C₄	—	2	2	no	—
1133	C₄	—	2	1	no	—
1134	C₄	—	4	2	no	—
1135	C₄	—	4	2	no	—
1136	C₄	—	4	1	no	—
1137	C₄	—	4	1	no	—
1138	C₄	—	4	1	no	—
1139	C₄	—	4	1	no	—
1140	C₄	—	4	1	no	—
1141	C₄	—	4	1	no	—
1142	C₄	C₃×#525	1	2	yes	—
1143	C₄	C₂²×C₃×#41	1	1	yes	characteristic
1144	C₄	C₂²×C₃×#41	1	1	yes	characteristic
1145	C₃	#60595	1	1	yes	characteristic, direct product factor, Sylow
1146	C₂	—	2	2	no	—
1147	C₂	—	4	2	no	—
1148	C₂	—	4	2	no	—
1149	C₂	—	8	2	no	—
1150	C₂	C₂×C₃×#525	1	1	yes	characteristic
1151	C₂	C₃×#3584	1	1	yes	characteristic
1152	C₂	C₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₃
prime radical	C₃×#3010	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×C₄×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃×#3510	C₂	semidirect
2. C₃×C₄×2₋¹⁺⁴	C₂	semidirect
3. C₃×#3125	C₂	semidirect
4. C₃×#3124	C₂	semidirect
5. C₃×#3121	C₂	semidirect
6. C₃×#3121	C₂	semidirect
7. C₃×#3117	C₂	semidirect
8. C₃×#3111	C₂	semidirect
9. C₃×#3108	C₂	semidirect
10. C₃×#3102	C₂	semidirect
11. C₃×#3097	C₂	semidirect
12. C₃×#3096	C₂	semidirect
13. C₃×#3078	C₂	semidirect
14. C₃×#3076	C₂	semidirect
15. C₃×#3040	C₂	semidirect
16. C₂×C₃×#464	C₂	semidirect
17. C₃×#3011	C₂	semidirect
19. C₃×#2950	C₂	semidirect
20. C₃×#2949	C₂	semidirect
21. C₃×#2947	C₂	semidirect
22. C₃×#2946	C₂	semidirect
23. C₃×#2925	C₂	semidirect
24. #60595	C₃	direct (N × H)
48. C₃×#520	C₂²	semidirect
52. C₃×#519	C₂²	semidirect
58. C₃×C₄×#41	C₂²	semidirect
61. C₂×C₃×C₄×Q₈	C₂²	semidirect
62. C₃×#485	C₂²	semidirect
63. C₃×#485	C₂²	semidirect
64. C₃×#484	C₂²	semidirect
65. C₃×#483	C₂²	semidirect
70. C₃×#479	C₂²	semidirect
71. C₃×#479	C₂²	semidirect
72. C₃×#479	C₂²	semidirect
73. C₃×#479	C₂²	semidirect
74. C₃×#478	C₂²	semidirect
75. C₃×#478	C₂²	semidirect
76. C₃×#477	C₂²	semidirect
77. C₃×#477	C₂²	semidirect
78. C₃×#476	C₂²	semidirect
79. C₃×#475	C₂²	semidirect
80. C₃×#475	C₂²	semidirect
81. C₃×#474	C₂²	semidirect
90. C₃×#452	C₂²	semidirect
91. C₃×#452	C₂²	semidirect
92. C₃×#451	C₂²	semidirect
93. C₃×#451	C₂²	semidirect
99. C₃×#441	C₂²	semidirect
100. C₃×#441	C₂²	semidirect
101. C₃×#441	C₂²	semidirect
105. C₃×#440	C₂²	semidirect
106. C₃×C₄×Q₁₆	C₂²	semidirect
107. C₃×C₄×Q₁₆	C₂²	semidirect
108. C₃×C₄×Q₁₆	C₂²	semidirect
112. C₃×C₄×SD₁₆	C₂²	semidirect
114. C₃×#433	C₂²	semidirect
115. C₃×#433	C₂²	semidirect
116. C₃×#432	C₂²	semidirect
117. C₃×#431	C₂²	semidirect
136. #3510	C₂×C₃	semidirect
137. C₄×2₋¹⁺⁴	C₂×C₃	semidirect
138. #3125	C₂×C₃	semidirect
139. #3124	C₂×C₃	semidirect
140. #3121	C₂×C₃	semidirect
141. #3121	C₂×C₃	semidirect
142. #3117	C₂×C₃	semidirect
143. #3111	C₂×C₃	semidirect
144. #3108	C₂×C₃	semidirect
145. #3102	C₂×C₃	semidirect
146. #3097	C₂×C₃	semidirect
147. #3096	C₂×C₃	semidirect
148. #3078	C₂×C₃	semidirect
149. #3076	C₂×C₃	semidirect
150. #3040	C₂×C₃	semidirect
151. C₂×#464	C₂×C₃	semidirect
152. #3011	C₂×C₃	semidirect
154. #2950	C₂×C₃	semidirect
155. #2949	C₂×C₃	semidirect
156. #2947	C₂×C₃	semidirect
157. #2946	C₂×C₃	semidirect
158. #2925	C₂×C₃	semidirect
365. #520	C₂²×C₃	semidirect
369. #519	C₂²×C₃	semidirect
375. C₄×#41	C₂²×C₃	semidirect
378. C₂×C₄×Q₈	C₂²×C₃	semidirect
379. #485	C₂²×C₃	semidirect
380. #485	C₂²×C₃	semidirect
381. #484	C₂²×C₃	semidirect
382. #483	C₂²×C₃	semidirect
387. #479	C₂²×C₃	semidirect
388. #479	C₂²×C₃	semidirect
389. #479	C₂²×C₃	semidirect
390. #479	C₂²×C₃	semidirect
391. #478	C₂²×C₃	semidirect
392. #478	C₂²×C₃	semidirect
393. #477	C₂²×C₃	semidirect
394. #477	C₂²×C₃	semidirect
395. #476	C₂²×C₃	semidirect
396. #475	C₂²×C₃	semidirect
397. #475	C₂²×C₃	semidirect
398. #474	C₂²×C₃	semidirect
407. #452	C₂²×C₃	semidirect
408. #452	C₂²×C₃	semidirect
409. #451	C₂²×C₃	semidirect
410. #451	C₂²×C₃	semidirect
416. #441	C₂²×C₃	semidirect
417. #441	C₂²×C₃	semidirect
418. #441	C₂²×C₃	semidirect
422. #440	C₂²×C₃	semidirect
423. C₄×Q₁₆	C₂²×C₃	semidirect
424. C₄×Q₁₆	C₂²×C₃	semidirect
425. C₄×Q₁₆	C₂²×C₃	semidirect
429. C₄×SD₁₆	C₂²×C₃	semidirect
431. #433	C₂²×C₃	semidirect
432. #433	C₂²×C₃	semidirect
433. #432	C₂²×C₃	semidirect
434. #431	C₂²×C₃	semidirect
1145. C₃	#60595	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃×#3510	2
C₃×C₄×2₋¹⁺⁴	2
C₃×#3125	2
C₃×#3124	2
C₃×#3121	2
C₃×#3117	2
C₃×#3111	2
C₃×#3108	2
C₃×#3102	2
C₃×#3097	2
C₃×#3096	2
C₃×#3078	2
C₃×#3076	2
C₃×#3040	2
C₂×C₃×#464	2
C₃×#3011	2
C₃×#3010	2
C₃×#2950	2
C₃×#2949	2
C₃×#2947	2
C₃×#2946	2
C₃×#2925	2
#60595	3

Subgroups — C3×#60595 #10679202

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#60595 #10679202