Subgroups — C₃×#61663 #10680270

Order 768.

2064 conjugacy classes of subgroups.

The subgroup lattice has 1178 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3551	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#3500	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#3323	C₂	1	2	yes	maximal, complemented
4	C₃×#3322	C₂	1	2	yes	maximal, complemented
5	C₃×#3301	C₂	1	2	yes	maximal, complemented
6	C₃×#3300	C₂	1	2	yes	maximal, complemented
7	C₃×#3282	C₂	1	2	yes	maximal, complemented
8	C₃×#3280	C₂	1	2	yes	maximal, complemented
9	C₃×#3277	C₂	1	2	yes	maximal, complemented
10	C₃×#3275	C₂	1	2	yes	maximal, complemented
11	C₃×#3211	C₂	1	2	yes	maximal, complemented
12	C₃×#3202	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#3200	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#3198	C₂	1	2	yes	maximal, complemented
15	C₃×#3102	C₂	1	2	yes	maximal, complemented
16	C₃×#3013	C₂	1	2	yes	maximal, complemented
17	C₃×#3009	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#3008	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#2979	C₂	1	1	yes	maximal, characteristic, complemented
20	#61663	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
21	C₂×C₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
22	C₂×C₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
23	C₂×C₃×#137	C₂²	1	1	yes	characteristic, complemented
24	C₂×C₃×#137	C₂²	1	2	yes	complemented
25	C₂×C₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
26	C₂×C₃×#135	C₂²	1	2	yes	complemented
27	C₂²×C₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
28	C₂²×C₃×D₈	C₂²	1	1	yes	characteristic
29	C₃×#563	—	2	1	no	—
30	C₃×#560	—	2	1	no	—
31	C₃×#555	—	2	1	no	—
32	C₃×#553	C₂²	1	2	yes	complemented
33	C₃×#552	C₂²	1	2	yes	complemented
34	C₃×#551	—	2	1	no	—
35	C₃×#548	C₂²	1	2	yes	—
36	C₃×#548	C₂²	1	2	yes	complemented
37	C₃×#548	C₂²	1	2	yes	complemented
38	C₃×#546	—	2	2	no	—
39	C₃×#546	—	2	2	no	—
40	C₃×#546	C₂²	1	2	yes	—
41	C₃×#546	C₂²	1	2	yes	complemented
42	C₃×#546	C₂²	1	2	yes	complemented
43	C₃×#540	—	2	2	no	—
44	C₃×#538	—	2	2	no	—
45	C₃×#537	C₂²	1	2	yes	complemented
46	C₃×#536	—	2	1	no	—
47	C₃×#536	C₂²	1	1	yes	characteristic
48	C₃×#536	C₂²	1	1	yes	characteristic
49	C₃×#535	—	2	1	no	—
50	C₃×#535	C₂²	1	1	yes	characteristic
51	C₃×#535	C₂²	1	1	yes	characteristic, complemented
52	C₃×#532	—	2	1	no	—
53	C₃×#532	C₂²	1	1	yes	characteristic
54	C₃×#529	C₂²	1	2	yes	complemented
55	C₂×C₃×#124	—	2	1	no	—
56	C₂×C₃×#124	C₂²	1	1	yes	characteristic, complemented
57	C₃×C₄×#41	C₂²	1	1	yes	characteristic, complemented
58	C₃×#495	C₂²	1	2	yes	complemented
59	C₃×#495	C₂²	1	2	yes	complemented
60	C₃×#488	C₂²	1	2	yes	complemented
61	C₃×#488	C₂²	1	2	yes	complemented
62	C₃×#485	C₂²	1	2	yes	complemented
63	C₃×#485	C₂²	1	2	yes	complemented
64	C₃×#485	C₂²	1	2	yes	complemented
65	C₃×#482	C₂²	1	2	yes	complemented
66	C₃×#481	C₂²	1	2	yes	complemented
67	C₃×#480	C₂²	1	2	yes	complemented
68	C₃×#479	C₂²	1	2	yes	complemented
69	C₃×#478	C₂²	1	2	yes	complemented
70	C₃×#470	C₂²	1	2	yes	complemented
71	C₃×#469	C₂²	1	2	yes	complemented
72	C₃×#468	C₂²	1	2	yes	complemented
73	C₃×#468	C₂²	1	2	yes	complemented
74	C₃×#467	C₂²	1	2	yes	complemented
75	C₃×#466	C₂²	1	2	yes	complemented
76	C₃×#465	C₂²	1	2	yes	complemented
77	C₃×#465	C₂²	1	2	yes	complemented
78	C₃×#464	C₂²	1	2	yes	complemented
79	C₃×#464	C₂²	1	2	yes	complemented
80	C₃×#464	C₂²	1	2	yes	complemented
81	C₃×#463	C₂²	1	2	yes	complemented
82	C₃×#463	C₂²	1	2	yes	complemented
83	C₃×#463	C₂²	1	2	yes	complemented
84	C₃×#452	C₂²	1	2	yes	—
85	C₃×#452	C₂²	1	2	yes	complemented
86	C₃×#452	C₂²	1	2	yes	complemented
87	C₃×#451	C₂²	1	2	yes	complemented
88	C₃×#451	C₂²	1	2	yes	complemented
89	C₃×#451	C₂²	1	2	yes	complemented
90	C₃×#450	C₂²	1	2	yes	—
91	C₃×#450	C₂²	1	2	yes	complemented
92	C₃×#450	C₂²	1	2	yes	complemented
93	C₃×#449	C₂²	1	2	yes	—
94	C₃×#449	C₂²	1	2	yes	—
95	C₃×#449	C₂²	1	2	yes	complemented
96	C₃×#449	C₂²	1	2	yes	complemented
97	C₃×#449	C₂²	1	2	yes	complemented
98	C₃×#448	C₂²	1	2	yes	complemented
99	C₃×#448	C₂²	1	2	yes	complemented
100	C₃×#447	C₂²	1	2	yes	—
101	C₃×#447	C₂²	1	2	yes	—
102	C₃×C₄×Q₁₆	C₂²	1	2	yes	complemented
103	C₃×C₄×SD₁₆	C₂²	1	2	yes	complemented
104	C₃×C₄×SD₁₆	C₂²	1	2	yes	complemented
105	C₃×C₄×D₈	C₂²	1	2	yes	complemented
106	C₃×#436	C₂²	1	2	yes	complemented
107	C₃×#436	C₂²	1	2	yes	complemented
108	C₃×C₈×D₄	C₂²	1	2	yes	complemented
109	C₃×C₈×D₄	C₂²	1	2	yes	complemented
110	C₃×#431	C₂²	1	2	yes	complemented
111	C₃×#418	C₂²	1	1	yes	characteristic
112	C₃×#418	C₂²	1	1	yes	characteristic, complemented
113	C₃×#417	C₂²	1	2	yes	complemented
114	C₃×#416	C₂²	1	1	yes	characteristic
115	C₃×#416	C₂²	1	1	yes	characteristic, complemented
116	C₂×C₃×#103	C₂²	1	2	yes	complemented
117	C₃×#408	C₂²	1	1	yes	characteristic
118	C₃×#408	C₂²	1	1	yes	characteristic
119	C₃×#408	C₂²	1	2	yes	complemented
120	#3551	C₂×C₃	1	1	yes	characteristic, complemented
121	#3500	C₂×C₃	1	1	yes	characteristic, complemented
122	#3323	C₂×C₃	1	2	yes	complemented
123	#3322	C₂×C₃	1	2	yes	complemented
124	#3301	C₂×C₃	1	2	yes	complemented
125	#3300	C₂×C₃	1	2	yes	complemented
126	#3282	C₂×C₃	1	2	yes	complemented
127	#3280	C₂×C₃	1	2	yes	complemented
128	#3277	C₂×C₃	1	2	yes	complemented
129	#3275	C₂×C₃	1	2	yes	complemented
130	#3211	C₂×C₃	1	2	yes	complemented
131	#3202	C₂×C₃	1	1	yes	characteristic, complemented
132	#3200	C₂×C₃	1	1	yes	characteristic, complemented
133	#3198	C₂×C₃	1	2	yes	complemented
134	#3102	C₂×C₃	1	2	yes	complemented
135	#3013	C₂×C₃	1	2	yes	complemented
136	#3009	C₂×C₃	1	1	yes	characteristic, complemented
137	#3008	C₂×C₃	1	1	yes	characteristic, complemented
138	#2979	C₂×C₃	1	1	yes	characteristic, complemented
139	C₃×2₋¹⁺⁴	—	4	2	no	—
140	C₃×2₋¹⁺⁴	—	4	2	no	—
141	C₃×H(5,𝔽₂)	—	4	2	no	—
142	C₃×H(5,𝔽₂)	—	4	2	no	—
143	C₂×C₃×#41	—	2	1	no	—
144	C₂×C₃×#41	—	2	1	no	—
145	C₂×C₃×#41	—	2	2	no	—
146	C₂×C₃×#41	C₂³	1	1	yes	characteristic
147	C₂×C₃×#41	C₂³	1	2	yes	—
148	C₂×C₃×#41	C₂³	1	1	yes	characteristic
149	C₂×C₃×#41	C₂³	1	1	yes	characteristic
150	C₂×C₃×#41	C₂³	1	2	yes	—
151	C₂×C₃×#41	C₂³	1	1	yes	characteristic
152	C₂×C₃×#41	C₂³	1	1	yes	characteristic
153	C₂²×C₃×Q₈	—	2	1	no	—
154	C₂²×C₃×Q₈	C₂³	1	2	yes	—
155	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
156	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
157	C₂²×C₃×D₄	—	2	1	no	—
158	C₂²×C₃×D₄	—	2	1	no	—
159	C₂²×C₃×D₄	—	2	1	no	—
160	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
161	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
162	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
163	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
164	C₃×#137	—	4	4	no	—
165	C₃×#137	—	4	2	no	—
166	C₃×AGL(1,ℤ/8)	—	4	2	no	—
167	C₃×#135	—	4	4	no	—
168	C₂×C₃×Q₁₆	C₂³	1	2	yes	—
169	C₂×C₃×Q₁₆	C₂³	1	2	yes	—
170	C₂×C₃×Q₁₆	C₂³	1	2	yes	—
171	C₂×C₃×SD₁₆	—	4	2	no	—
172	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
173	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
174	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
175	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
176	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
177	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
178	C₂×C₃×D₈	—	4	2	no	—
179	C₂×C₃×D₈	C₂³	1	2	yes	—
180	C₂×C₃×D₈	C₂³	1	2	yes	—
181	C₂×C₃×D₈	C₂³	1	2	yes	—
182	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
183	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
184	C₂×C₃×M₁₆	C₂³	1	2	yes	—
185	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
186	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
187	C₂²×C₃×C₈	C₂³	1	2	yes	—
188	C₃×C₄⋊Q₈	—	2	1	no	—
189	C₃×C₄⋊Q₈	—	2	1	no	—
190	C₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
191	C₃×#127	—	2	1	no	—
192	C₃×#127	—	2	1	no	—
193	C₃×#127	D₄	1	1	yes	characteristic
194	C₃×#126	—	2	2	no	—
195	C₃×#126	—	2	2	no	—
196	C₃×#126	—	2	2	no	—
197	C₃×#125	—	2	2	no	—
198	C₃×#125	C₂³	1	2	yes	—
199	C₃×#124	—	2	1	no	—
200	C₃×#124	—	2	1	no	—
201	C₃×#124	—	2	1	no	—
202	C₃×#124	—	2	1	no	—
203	C₃×#124	—	2	2	no	—
204	C₃×#124	—	2	2	no	—
205	C₃×#124	—	2	2	no	—
206	C₃×#124	—	2	1	no	—
207	C₃×#124	—	2	1	no	—
208	C₃×#124	D₄	1	1	yes	characteristic
209	C₃×#124	D₄	1	1	yes	characteristic
210	C₃×#124	C₂³	1	2	yes	—
211	C₃×#124	C₂³	1	2	yes	—
212	C₃×#124	C₂³	1	2	yes	—
213	C₃×#123	—	2	1	no	—
214	C₃×#123	—	2	2	no	—
215	C₃×#123	—	2	1	no	—
216	C₃×#123	—	2	1	no	—
217	C₃×#123	—	2	1	no	—
218	C₃×#123	—	2	2	no	—
219	C₃×#123	—	2	2	no	—
220	C₃×#123	—	2	2	no	—
221	C₃×#123	—	2	2	no	—
222	C₃×#123	—	2	2	no	—
223	C₃×C₂²⋊Q₈	—	2	2	no	—
224	C₃×C₂²⋊Q₈	—	2	2	no	—
225	C₃×C₂²⋊Q₈	—	2	2	no	—
226	C₃×C₂²⋊Q₈	—	2	2	no	—
227	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
228	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
229	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
230	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
231	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
232	C₃×#121	—	2	2	no	—
233	C₃×#121	—	2	2	no	—
234	C₃×#121	—	2	2	no	—
235	C₃×#121	—	2	2	no	—
236	C₃×#121	—	2	2	no	—
237	C₃×#121	—	2	2	no	—
238	C₃×#121	—	2	2	no	—
239	C₃×#121	—	2	2	no	—
240	C₃×#121	—	2	2	no	—
241	C₃×#121	—	2	2	no	—
242	C₃×#121	D₄	1	2	yes	—
243	C₃×#121	D₄	1	2	yes	—
244	C₃×#121	C₂³	1	2	yes	—
245	C₃×#121	C₂³	1	2	yes	—
246	C₃×#121	C₂³	1	2	yes	—
247	C₃×#121	C₂³	1	2	yes	—
248	C₃×#121	C₂³	1	2	yes	—
249	C₃×#120	—	2	1	no	—
250	C₃×#120	—	2	2	no	—
251	C₃×#120	—	2	2	no	—
252	C₃×#120	—	2	2	no	—
253	C₃×#120	—	2	1	no	—
254	C₃×#120	—	2	2	no	—
255	C₃×C₄×Q₈	C₂³	1	2	yes	—
256	C₃×C₄×Q₈	C₂³	1	2	yes	—
257	C₃×C₄×D₄	—	2	2	no	—
258	C₃×C₄×D₄	—	2	2	no	—
259	C₃×C₄×D₄	—	2	2	no	—
260	C₃×C₄×D₄	—	2	2	no	—
261	C₃×C₄×D₄	—	2	2	no	—
262	C₃×C₄×D₄	—	2	2	no	—
263	C₃×C₄×D₄	C₂³	1	2	yes	—
264	C₃×C₄×D₄	C₂³	1	2	yes	—
265	C₃×C₄×D₄	C₂³	1	2	yes	—
266	C₃×C₄×D₄	C₂³	1	2	yes	—
267	C₃×#117	—	2	2	no	—
268	C₃×#117	—	2	1	no	—
269	C₃×#117	—	2	2	no	—
270	C₃×#117	C₂³	1	1	yes	characteristic
271	C₃×#117	C₂³	1	1	yes	characteristic
272	C₃×#117	C₂³	1	1	yes	characteristic
273	C₂×C₃×C₄⋊C₄	C₂³	1	2	yes	—
274	C₂×C₃×C₂²⋊C₄	—	2	2	no	—
275	C₂×C₃×C₂²⋊C₄	—	2	2	no	—
276	C₂×C₃×C₂²⋊C₄	—	2	2	no	—
277	C₂×C₃×C₂²⋊C₄	—	2	2	no	—
278	C₂×C₃×C₄²	—	2	1	no	—
279	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
280	C₃×#107	C₂³	1	2	yes	—
281	C₃×#107	C₂³	1	2	yes	—
282	C₃×#106	C₂³	1	2	yes	—
283	C₃×#106	C₂³	1	2	yes	—
284	C₃×C₄⋊C₈	C₂³	1	2	yes	—
285	C₃×C₄⋊C₈	C₂³	1	2	yes	—
286	C₃×#103	C₂³	1	2	yes	—
287	C₃×#103	C₂³	1	2	yes	—
288	C₃×#103	C₂³	1	2	yes	—
289	C₃×#103	C₂³	1	2	yes	—
290	C₃×#103	C₂³	1	2	yes	—
291	C₃×#103	C₂³	1	2	yes	—
292	C₃×#103	C₂³	1	2	yes	—
293	C₃×#103	C₂³	1	2	yes	—
294	C₃×#102	C₂³	1	2	yes	—
295	C₃×#102	C₂³	1	2	yes	—
296	C₃×#102	C₂³	1	2	yes	—
297	C₃×#102	C₂³	1	2	yes	—
298	C₃×#102	C₂³	1	2	yes	—
299	C₃×#102	C₂³	1	2	yes	—
300	C₃×#102	C₂³	1	2	yes	—
301	C₃×#102	C₂³	1	2	yes	—
302	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
303	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
304	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
306	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
307	C₃×C₂²⋊C₈	C₂³	1	2	yes	—
308	C₃×C₄×C₈	C₂³	1	2	yes	—
309	C₃×C₄×C₈	C₂³	1	2	yes	—
310	C₂×2₋¹⁺⁴	C₂²×C₃	1	1	yes	characteristic, complemented
311	C₂×H(5,𝔽₂)	C₂²×C₃	1	1	yes	characteristic
312	C₂×#137	C₂²×C₃	1	1	yes	characteristic, complemented
313	C₂×#137	C₂²×C₃	1	2	yes	complemented
314	C₂×AGL(1,ℤ/8)	C₂²×C₃	1	1	yes	characteristic
315	C₂×#135	C₂²×C₃	1	2	yes	complemented
316	C₂²×SD₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
317	C₂²×D₈	C₂²×C₃	1	1	yes	characteristic
318	#563	—	2	1	no	—
319	#560	—	2	1	no	—
320	#555	—	2	1	no	—
321	#553	C₂²×C₃	1	2	yes	complemented
322	#552	C₂²×C₃	1	2	yes	complemented
323	#551	—	2	1	no	—
324	#548	C₂²×C₃	1	2	yes	—
325	#548	C₂²×C₃	1	2	yes	complemented
326	#548	C₂²×C₃	1	2	yes	complemented
327	#546	—	2	2	no	—
328	#546	—	2	2	no	—
329	#546	C₂²×C₃	1	2	yes	—
330	#546	C₂²×C₃	1	2	yes	complemented
331	#546	C₂²×C₃	1	2	yes	complemented
332	#540	—	2	2	no	—
333	#538	—	2	2	no	—
334	#537	C₂²×C₃	1	2	yes	complemented
335	#536	—	2	1	no	—
336	#536	C₂²×C₃	1	1	yes	characteristic
337	#536	C₂²×C₃	1	1	yes	characteristic
338	#535	—	2	1	no	—
339	#535	C₂²×C₃	1	1	yes	characteristic
340	#535	C₂²×C₃	1	1	yes	characteristic, complemented
341	#532	—	2	1	no	—
342	#532	C₂²×C₃	1	1	yes	characteristic
343	#529	C₂²×C₃	1	2	yes	complemented
344	C₂×#124	—	2	1	no	—
345	C₂×#124	C₂²×C₃	1	1	yes	characteristic, complemented
346	C₄×#41	C₂²×C₃	1	1	yes	characteristic, complemented
347	#495	C₂²×C₃	1	2	yes	complemented
348	#495	C₂²×C₃	1	2	yes	complemented
349	#488	C₂²×C₃	1	2	yes	complemented
350	#488	C₂²×C₃	1	2	yes	complemented
351	#485	C₂²×C₃	1	2	yes	complemented
352	#485	C₂²×C₃	1	2	yes	complemented
353	#485	C₂²×C₃	1	2	yes	complemented
354	#482	C₂²×C₃	1	2	yes	complemented
355	#481	C₂²×C₃	1	2	yes	complemented
356	#480	C₂²×C₃	1	2	yes	complemented
357	#479	C₂²×C₃	1	2	yes	complemented
358	#478	C₂²×C₃	1	2	yes	complemented
359	#470	C₂²×C₃	1	2	yes	complemented
360	#469	C₂²×C₃	1	2	yes	complemented
361	#468	C₂²×C₃	1	2	yes	complemented
362	#468	C₂²×C₃	1	2	yes	complemented
363	#467	C₂²×C₃	1	2	yes	complemented
364	#466	C₂²×C₃	1	2	yes	complemented
365	#465	C₂²×C₃	1	2	yes	complemented
366	#465	C₂²×C₃	1	2	yes	complemented
367	#464	C₂²×C₃	1	2	yes	complemented
368	#464	C₂²×C₃	1	2	yes	complemented
369	#464	C₂²×C₃	1	2	yes	complemented
370	#463	C₂²×C₃	1	2	yes	complemented
371	#463	C₂²×C₃	1	2	yes	complemented
372	#463	C₂²×C₃	1	2	yes	complemented
373	#452	C₂²×C₃	1	2	yes	—
374	#452	C₂²×C₃	1	2	yes	complemented
375	#452	C₂²×C₃	1	2	yes	complemented
376	#451	C₂²×C₃	1	2	yes	complemented
377	#451	C₂²×C₃	1	2	yes	complemented
378	#451	C₂²×C₃	1	2	yes	complemented
379	#450	C₂²×C₃	1	2	yes	—
380	#450	C₂²×C₃	1	2	yes	complemented
381	#450	C₂²×C₃	1	2	yes	complemented
382	#449	C₂²×C₃	1	2	yes	—
383	#449	C₂²×C₃	1	2	yes	—
384	#449	C₂²×C₃	1	2	yes	complemented
385	#449	C₂²×C₃	1	2	yes	complemented
386	#449	C₂²×C₃	1	2	yes	complemented
387	#448	C₂²×C₃	1	2	yes	complemented
388	#448	C₂²×C₃	1	2	yes	complemented
389	#447	C₂²×C₃	1	2	yes	—
390	#447	C₂²×C₃	1	2	yes	—
391	C₄×Q₁₆	C₂²×C₃	1	2	yes	complemented
392	C₄×SD₁₆	C₂²×C₃	1	2	yes	complemented
393	C₄×SD₁₆	C₂²×C₃	1	2	yes	complemented
394	C₄×D₈	C₂²×C₃	1	2	yes	complemented
395	#436	C₂²×C₃	1	2	yes	complemented
396	#436	C₂²×C₃	1	2	yes	complemented
397	C₈×D₄	C₂²×C₃	1	2	yes	complemented
398	C₈×D₄	C₂²×C₃	1	2	yes	complemented
399	#431	C₂²×C₃	1	2	yes	complemented
400	#418	C₂²×C₃	1	1	yes	characteristic
401	#418	C₂²×C₃	1	1	yes	characteristic, complemented
402	#417	C₂²×C₃	1	2	yes	complemented
403	#416	C₂²×C₃	1	1	yes	characteristic
404	#416	C₂²×C₃	1	1	yes	characteristic, complemented
405	C₂×#103	C₂²×C₃	1	2	yes	complemented
406	#408	C₂²×C₃	1	1	yes	characteristic
407	#408	C₂²×C₃	1	1	yes	characteristic
408	#408	C₂²×C₃	1	2	yes	complemented
409	C₂⁴×C₃	—	2	1	no	—
410	C₂⁴×C₃	—	2	1	no	—
411	C₂⁴×C₃	—	2	1	no	—
412	C₂⁴×C₃	—	2	1	no	—
413	C₃×#41	—	2	2	no	—
414	C₃×#41	—	2	2	no	—
415	C₃×#41	—	2	2	no	—
416	C₃×#41	—	2	2	no	—
417	C₃×#41	—	2	4	no	—
418	C₃×#41	—	4	1	no	—
419	C₃×#41	—	4	1	no	—
420	C₃×#41	—	4	1	no	—
421	C₃×#41	—	4	1	no	—
422	C₃×#41	—	4	1	no	—
423	C₃×#41	—	4	1	no	—
424	C₃×#41	—	4	2	no	—
425	C₃×#41	—	4	4	no	—
426	C₃×#41	—	4	4	no	—
427	C₃×#41	—	4	2	no	—
428	C₃×#41	—	4	2	no	—
429	C₃×#41	—	4	8	no	—
430	C₂×C₃×Q₈	—	2	2	no	—
431	C₂×C₃×Q₈	—	2	1	no	—
432	C₂×C₃×Q₈	—	2	1	no	—
433	C₂×C₃×Q₈	—	2	4	no	—
434	C₂×C₃×Q₈	—	4	2	no	—
435	C₂×C₃×Q₈	—	4	1	no	—
436	C₂×C₃×Q₈	—	4	1	no	—
437	C₂×C₃×Q₈	—	4	4	no	—
438	C₂×C₃×Q₈	—	4	1	no	—
439	C₂×C₃×Q₈	—	4	1	no	—
440	C₂×C₃×Q₈	C₂×D₄	1	1	yes	characteristic
441	C₂×C₃×Q₈	C₂×D₄	1	1	yes	characteristic
442	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
443	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
444	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
445	C₂×C₃×D₄	—	2	1	no	—
446	C₂×C₃×D₄	—	2	2	no	—
447	C₂×C₃×D₄	—	2	2	no	—
448	C₂×C₃×D₄	—	2	2	no	—
449	C₂×C₃×D₄	—	2	1	no	—
450	C₂×C₃×D₄	—	2	1	no	—
451	C₂×C₃×D₄	—	2	2	no	—
452	C₂×C₃×D₄	—	2	2	no	—
453	C₂×C₃×D₄	—	2	2	no	—
454	C₂×C₃×D₄	—	2	2	no	—
455	C₂×C₃×D₄	—	2	2	no	—
456	C₂×C₃×D₄	—	2	2	no	—
457	C₂×C₃×D₄	—	2	1	no	—
458	C₂×C₃×D₄	—	2	1	no	—
459	C₂×C₃×D₄	—	2	1	no	—
460	C₂×C₃×D₄	—	2	1	no	—
461	C₂×C₃×D₄	—	4	1	no	—
462	C₂×C₃×D₄	—	4	1	no	—
463	C₂×C₃×D₄	—	4	1	no	—
464	C₂×C₃×D₄	—	4	1	no	—
465	C₂×C₃×D₄	—	4	1	no	—
466	C₂×C₃×D₄	—	4	1	no	—
467	C₂×C₃×D₄	—	4	4	no	—
468	C₂×C₃×D₄	—	4	4	no	—
469	C₂×C₃×D₄	—	4	4	no	—
470	C₂×C₃×D₄	C₂×D₄	1	2	yes	—
471	C₂×C₃×D₄	C₂×D₄	1	2	yes	—
472	C₂×C₃×D₄	C₂×D₄	1	2	yes	—
473	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
474	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
475	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
476	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
477	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
478	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
479	C₂×C₃×D₄	C₂⁴	1	2	yes	—
480	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
481	C₂²×C₃×C₄	—	2	1	no	—
482	C₂²×C₃×C₄	—	2	1	no	—
483	C₂²×C₃×C₄	—	2	2	no	—
484	C₂²×C₃×C₄	—	2	2	no	—
485	C₂²×C₃×C₄	—	2	1	no	—
486	C₂²×C₃×C₄	—	2	2	no	—
487	C₂²×C₃×C₄	—	2	1	no	—
488	C₂²×C₃×C₄	—	2	1	no	—
489	C₂²×C₃×C₄	—	2	2	no	—
490	C₂²×C₃×C₄	—	2	2	no	—
491	C₂²×C₃×C₄	—	2	2	no	—
492	C₂²×C₃×C₄	C₂×D₄	1	2	yes	—
493	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
494	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
495	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
496	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
497	C₃×Q₁₆	—	2	4	no	—
498	C₃×Q₁₆	—	4	2	no	—
499	C₃×Q₁₆	—	4	2	no	—
500	C₃×SD₁₆	—	2	4	no	—
501	C₃×SD₁₆	—	2	4	no	—
502	C₃×SD₁₆	—	4	2	no	—
503	C₃×SD₁₆	—	4	2	no	—
504	C₃×SD₁₆	—	4	2	no	—
505	C₃×SD₁₆	—	4	2	no	—
506	C₃×D₈	—	2	4	no	—
507	C₃×D₈	—	4	2	no	—
508	C₃×D₈	—	4	2	no	—
509	C₃×M₁₆	—	4	1	no	—
510	C₃×M₁₆	—	4	2	no	—
511	C₃×M₁₆	—	4	1	no	—
512	C₂×C₃×C₈	—	4	1	no	—
513	C₂×C₃×C₈	—	4	1	no	—
514	C₂×C₃×C₈	—	4	2	no	—
515	C₂×C₃×C₈	C₂⁴	1	2	yes	—
516	C₂×C₃×C₈	C₂⁴	1	2	yes	—
517	C₂×C₃×C₈	C₂⁴	1	2	yes	—
518	C₂×C₃×C₈	C₂⁴	1	2	yes	—
519	C₃×C₄⋊C₄	—	2	2	no	—
520	C₃×C₄⋊C₄	—	2	2	no	—
521	C₃×C₄⋊C₄	—	2	2	no	—
522	C₃×C₄⋊C₄	—	2	2	no	—
523	C₃×C₄⋊C₄	—	2	2	no	—
524	C₃×C₄⋊C₄	—	2	2	no	—
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	C₂×D₄	1	2	yes	—
530	C₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
531	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
532	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
533	C₃×C₄⋊C₄	C₂⁴	1	2	yes	—
534	C₃×C₂²⋊C₄	—	2	2	no	—
535	C₃×C₂²⋊C₄	—	2	2	no	—
536	C₃×C₂²⋊C₄	—	2	2	no	—
537	C₃×C₂²⋊C₄	—	2	2	no	—
538	C₃×C₂²⋊C₄	—	2	1	no	—
539	C₃×C₂²⋊C₄	—	2	1	no	—
540	C₃×C₂²⋊C₄	—	2	1	no	—
541	C₃×C₂²⋊C₄	—	2	2	no	—
542	C₃×C₂²⋊C₄	—	2	2	no	—
543	C₃×C₂²⋊C₄	—	2	2	no	—
544	C₃×C₂²⋊C₄	—	2	2	no	—
545	C₃×C₂²⋊C₄	—	2	2	no	—
546	C₃×C₂²⋊C₄	—	2	2	no	—
547	C₃×C₂²⋊C₄	—	2	2	no	—
548	C₃×C₂²⋊C₄	—	2	2	no	—
549	C₃×C₂²⋊C₄	—	2	2	no	—
550	C₃×C₂²⋊C₄	—	2	2	no	—
551	C₃×C₂²⋊C₄	—	2	2	no	—
552	C₃×C₂²⋊C₄	—	2	2	no	—
553	C₃×C₂²⋊C₄	—	2	2	no	—
554	C₃×C₂²⋊C₄	—	2	2	no	—
555	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
556	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
557	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
558	C₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
559	C₃×C₄²	—	2	1	no	—
560	C₃×C₄²	—	2	2	no	—
561	C₃×C₄²	—	2	1	no	—
562	C₃×C₄²	—	2	2	no	—
563	C₃×C₄²	—	2	1	no	—
564	C₃×C₄²	C₂×D₄	1	1	yes	characteristic
565	C₃×C₄²	C₂×D₄	1	1	yes	characteristic
566	C₃×C₄²	C₂⁴	1	2	yes	—
567	2₋¹⁺⁴	—	4	2	no	—
568	2₋¹⁺⁴	—	4	2	no	—
569	H(5,𝔽₂)	—	4	2	no	—
570	H(5,𝔽₂)	—	4	2	no	—
571	C₂×#41	—	2	1	no	—
572	C₂×#41	—	2	1	no	—
573	C₂×#41	—	2	2	no	—
574	C₂×#41	C₂³×C₃	1	1	yes	characteristic
575	C₂×#41	C₂³×C₃	1	2	yes	—
576	C₂×#41	C₂³×C₃	1	1	yes	characteristic
577	C₂×#41	C₂³×C₃	1	1	yes	characteristic
578	C₂×#41	C₂³×C₃	1	2	yes	—
579	C₂×#41	C₂³×C₃	1	1	yes	characteristic
580	C₂×#41	C₂³×C₃	1	1	yes	characteristic
581	C₂²×Q₈	—	2	1	no	—
582	C₂²×Q₈	C₂³×C₃	1	2	yes	—
583	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
584	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
585	C₂²×D₄	—	2	1	no	—
586	C₂²×D₄	—	2	1	no	—
587	C₂²×D₄	—	2	1	no	—
588	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
589	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
590	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
591	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
592	#137	—	4	4	no	—
593	#137	—	4	2	no	—
594	AGL(1,ℤ/8)	—	4	2	no	—
595	#135	—	4	4	no	—
596	C₂×Q₁₆	C₂³×C₃	1	2	yes	—
597	C₂×Q₁₆	C₂³×C₃	1	2	yes	—
598	C₂×Q₁₆	C₂³×C₃	1	2	yes	—
599	C₂×SD₁₆	—	4	2	no	—
600	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
601	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
602	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
603	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
604	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
605	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
606	C₂×D₈	—	4	2	no	—
607	C₂×D₈	C₂³×C₃	1	2	yes	—
608	C₂×D₈	C₂³×C₃	1	2	yes	—
609	C₂×D₈	C₂³×C₃	1	2	yes	—
610	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
611	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
612	C₂×M₁₆	C₂³×C₃	1	2	yes	—
613	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
614	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
615	C₂²×C₈	C₂³×C₃	1	2	yes	—
616	C₄⋊Q₈	—	2	1	no	—
617	C₄⋊Q₈	—	2	1	no	—
618	C₄⋊Q₈	C₃×D₄	1	1	yes	characteristic
619	#127	—	2	1	no	—
620	#127	—	2	1	no	—
621	#127	C₃×D₄	1	1	yes	characteristic
622	#126	—	2	2	no	—
623	#126	—	2	2	no	—
624	#126	—	2	2	no	—
625	#125	—	2	2	no	—
626	#125	C₂³×C₃	1	2	yes	—
627	#124	—	2	1	no	—
628	#124	—	2	1	no	—
629	#124	—	2	1	no	—
630	#124	—	2	1	no	—
631	#124	—	2	2	no	—
632	#124	—	2	2	no	—
633	#124	—	2	2	no	—
634	#124	—	2	1	no	—
635	#124	—	2	1	no	—
636	#124	C₃×D₄	1	1	yes	characteristic
637	#124	C₃×D₄	1	1	yes	characteristic
638	#124	C₂³×C₃	1	2	yes	—
639	#124	C₂³×C₃	1	2	yes	—
640	#124	C₂³×C₃	1	2	yes	—
641	#123	—	2	1	no	—
642	#123	—	2	1	no	—
643	#123	—	2	1	no	—
644	#123	—	2	1	no	—
645	#123	—	2	2	no	—
646	#123	—	2	2	no	—
647	#123	—	2	2	no	—
648	#123	—	2	2	no	—
649	#123	—	2	2	no	—
650	#123	—	2	2	no	—
651	C₂²⋊Q₈	—	2	2	no	—
652	C₂²⋊Q₈	—	2	2	no	—
653	C₂²⋊Q₈	—	2	2	no	—
654	C₂²⋊Q₈	—	2	2	no	—
655	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
656	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
657	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
658	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
659	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
660	#121	—	2	2	no	—
661	#121	—	2	2	no	—
662	#121	—	2	2	no	—
663	#121	—	2	2	no	—
664	#121	—	2	2	no	—
665	#121	—	2	2	no	—
666	#121	—	2	2	no	—
667	#121	—	2	2	no	—
668	#121	—	2	2	no	—
669	#121	—	2	2	no	—
670	#121	C₃×D₄	1	2	yes	—
671	#121	C₃×D₄	1	2	yes	—
672	#121	C₂³×C₃	1	2	yes	—
673	#121	C₂³×C₃	1	2	yes	—
674	#121	C₂³×C₃	1	2	yes	—
675	#121	C₂³×C₃	1	2	yes	—
676	#121	C₂³×C₃	1	2	yes	—
677	#120	—	2	2	no	—
678	#120	—	2	2	no	—
679	#120	—	2	1	no	—
680	#120	—	2	1	no	—
681	#120	—	2	2	no	—
682	#120	—	2	2	no	—
683	C₄×Q₈	C₂³×C₃	1	2	yes	—
684	C₄×Q₈	C₂³×C₃	1	2	yes	—
685	C₄×D₄	—	2	2	no	—
686	C₄×D₄	—	2	2	no	—
687	C₄×D₄	—	2	2	no	—
688	C₄×D₄	—	2	2	no	—
689	C₄×D₄	—	2	2	no	—
690	C₄×D₄	—	2	2	no	—
691	C₄×D₄	C₂³×C₃	1	2	yes	—
692	C₄×D₄	C₂³×C₃	1	2	yes	—
693	C₄×D₄	C₂³×C₃	1	2	yes	—
694	C₄×D₄	C₂³×C₃	1	2	yes	—
695	#117	—	2	2	no	—
696	#117	—	2	1	no	—
697	#117	—	2	2	no	—
698	#117	C₂³×C₃	1	1	yes	characteristic
699	#117	C₂³×C₃	1	1	yes	characteristic
700	#117	C₂³×C₃	1	1	yes	characteristic
701	C₂×C₄⋊C₄	C₂³×C₃	1	2	yes	—
702	C₂×C₂²⋊C₄	—	2	2	no	—
703	C₂×C₂²⋊C₄	—	2	2	no	—
704	C₂×C₂²⋊C₄	—	2	2	no	—
705	C₂×C₂²⋊C₄	—	2	2	no	—
706	C₂×C₄²	—	2	1	no	—
707	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
708	#107	C₂³×C₃	1	2	yes	—
709	#107	C₂³×C₃	1	2	yes	—
710	#106	C₂³×C₃	1	2	yes	—
711	#106	C₂³×C₃	1	2	yes	—
712	C₄⋊C₈	C₂³×C₃	1	2	yes	—
713	C₄⋊C₈	C₂³×C₃	1	2	yes	—
714	#103	C₂³×C₃	1	2	yes	—
715	#103	C₂³×C₃	1	2	yes	—
716	#103	C₂³×C₃	1	2	yes	—
717	#103	C₂³×C₃	1	2	yes	—
718	#103	C₂³×C₃	1	2	yes	—
719	#103	C₂³×C₃	1	2	yes	—
720	#103	C₂³×C₃	1	2	yes	—
721	#103	C₂³×C₃	1	2	yes	—
722	#102	C₂³×C₃	1	2	yes	—
723	#102	C₂³×C₃	1	2	yes	—
724	#102	C₂³×C₃	1	2	yes	—
725	#102	C₂³×C₃	1	2	yes	—
726	#102	C₂³×C₃	1	2	yes	—
727	#102	C₂³×C₃	1	2	yes	—
728	#102	C₂³×C₃	1	2	yes	—
729	#102	C₂³×C₃	1	2	yes	—
730	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
731	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
732	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
733	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
734	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
735	C₂²⋊C₈	C₂³×C₃	1	2	yes	—
736	C₄×C₈	C₂³×C₃	1	2	yes	—
737	C₄×C₈	C₂³×C₃	1	2	yes	—
738	C₂³×C₃	—	2	1	no	—
739	C₂³×C₃	—	2	2	no	—
740	C₂³×C₃	—	2	1	no	—
741	C₂³×C₃	—	2	1	no	—
742	C₂³×C₃	—	4	2	no	—
743	C₂³×C₃	—	4	2	no	—
744	C₂³×C₃	—	4	2	no	—
745	C₂³×C₃	—	8	1	no	—
746	C₂³×C₃	—	8	2	no	—
747	C₂³×C₃	—	8	2	no	—
748	C₂³×C₃	—	8	2	no	—
749	C₂³×C₃	—	8	2	no	—
750	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
751	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
752	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
753	C₂³×C₃	C₂²×D₄	1	2	yes	—
754	C₃×Q₈	—	2	1	no	—
755	C₃×Q₈	—	2	2	no	—
756	C₃×Q₈	—	2	2	no	—
757	C₃×Q₈	—	2	2	no	—
758	C₃×Q₈	—	2	2	no	—
759	C₃×Q₈	—	4	1	no	—
760	C₃×Q₈	—	4	1	no	—
761	C₃×Q₈	—	4	4	no	—
762	C₃×Q₈	—	4	2	no	—
763	C₃×Q₈	—	8	1	no	—
764	C₃×Q₈	H(5,𝔽₂)	1	2	yes	—
765	C₃×D₄	—	2	4	no	—
766	C₃×D₄	—	2	1	no	—
767	C₃×D₄	—	2	2	no	—
768	C₃×D₄	—	2	1	no	—
769	C₃×D₄	—	2	1	no	—
770	C₃×D₄	—	2	2	no	—
771	C₃×D₄	—	2	1	no	—
772	C₃×D₄	—	2	1	no	—
773	C₃×D₄	—	4	1	no	—
774	C₃×D₄	—	4	1	no	—
775	C₃×D₄	—	4	1	no	—
776	C₃×D₄	—	4	2	no	—
777	C₃×D₄	—	4	2	no	—
778	C₃×D₄	—	4	1	no	—
779	C₃×D₄	—	4	2	no	—
780	C₃×D₄	—	4	2	no	—
781	C₃×D₄	—	4	2	no	—
782	C₃×D₄	—	4	2	no	—
783	C₃×D₄	—	4	2	no	—
784	C₃×D₄	—	4	2	no	—
785	C₃×D₄	—	4	4	no	—
786	C₃×D₄	—	8	1	no	—
787	C₃×D₄	—	8	2	no	—
788	C₃×D₄	—	8	2	no	—
789	C₃×D₄	—	8	2	no	—
790	C₃×D₄	—	8	2	no	—
791	C₃×D₄	—	8	2	no	—
792	C₃×D₄	—	8	2	no	—
793	C₃×D₄	H(5,𝔽₂)	1	2	yes	—
794	C₂×C₃×C₄	—	2	4	no	—
795	C₂×C₃×C₄	—	2	1	no	—
796	C₂×C₃×C₄	—	2	1	no	—
797	C₂×C₃×C₄	—	2	1	no	—
798	C₂×C₃×C₄	—	2	2	no	—
799	C₂×C₃×C₄	—	2	1	no	—
800	C₂×C₃×C₄	—	2	1	no	—
801	C₂×C₃×C₄	—	2	2	no	—
802	C₂×C₃×C₄	—	2	1	no	—
803	C₂×C₃×C₄	—	2	1	no	—
804	C₂×C₃×C₄	—	2	2	no	—
805	C₂×C₃×C₄	—	2	2	no	—
806	C₂×C₃×C₄	—	2	2	no	—
807	C₂×C₃×C₄	—	2	2	no	—
808	C₂×C₃×C₄	—	2	2	no	—
809	C₂×C₃×C₄	—	4	2	no	—
810	C₂×C₃×C₄	—	4	2	no	—
811	C₂×C₃×C₄	—	4	2	no	—
812	C₂×C₃×C₄	—	4	4	no	—
813	C₂×C₃×C₄	—	4	4	no	—
814	C₂×C₃×C₄	—	4	2	no	—
815	C₂×C₃×C₄	—	8	2	no	—
816	C₂×C₃×C₄	—	8	2	no	—
817	C₂×C₃×C₄	—	8	2	no	—
818	C₂×C₃×C₄	—	8	2	no	—
819	C₂×C₃×C₄	—	8	1	no	—
820	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
821	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
822	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
823	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
824	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
825	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
826	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
827	C₃×C₈	—	2	2	no	—
828	C₃×C₈	—	2	2	no	—
829	C₃×C₈	—	2	2	no	—
830	C₃×C₈	—	2	2	no	—
831	C₂⁴	—	2	1	no	—
832	C₂⁴	—	2	1	no	—
833	C₂⁴	—	2	1	no	—
834	C₂⁴	—	2	1	no	—
835	#41	—	2	2	no	—
836	#41	—	2	2	no	—
837	#41	—	2	2	no	—
838	#41	—	2	2	no	—
839	#41	—	2	4	no	—
840	#41	—	4	1	no	—
841	#41	—	4	1	no	—
842	#41	—	4	1	no	—
843	#41	—	4	1	no	—
844	#41	—	4	1	no	—
845	#41	—	4	1	no	—
846	#41	—	4	2	no	—
847	#41	—	4	4	no	—
848	#41	—	4	4	no	—
849	#41	—	4	2	no	—
850	#41	—	4	2	no	—
851	#41	—	4	8	no	—
852	C₂×Q₈	—	2	2	no	—
853	C₂×Q₈	—	2	1	no	—
854	C₂×Q₈	—	2	1	no	—
855	C₂×Q₈	—	2	4	no	—
856	C₂×Q₈	—	4	2	no	—
857	C₂×Q₈	—	4	1	no	—
858	C₂×Q₈	—	4	1	no	—
859	C₂×Q₈	—	4	4	no	—
860	C₂×Q₈	—	4	1	no	—
861	C₂×Q₈	—	4	1	no	—
862	C₂×Q₈	C₂×C₃×D₄	1	1	yes	characteristic
863	C₂×Q₈	C₂×C₃×D₄	1	1	yes	characteristic
864	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
865	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
866	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
867	C₂×D₄	—	2	1	no	—
868	C₂×D₄	—	2	2	no	—
869	C₂×D₄	—	2	2	no	—
870	C₂×D₄	—	2	2	no	—
871	C₂×D₄	—	2	1	no	—
872	C₂×D₄	—	2	1	no	—
873	C₂×D₄	—	2	2	no	—
874	C₂×D₄	—	2	2	no	—
875	C₂×D₄	—	2	2	no	—
876	C₂×D₄	—	2	2	no	—
877	C₂×D₄	—	2	2	no	—
878	C₂×D₄	—	2	2	no	—
879	C₂×D₄	—	2	1	no	—
880	C₂×D₄	—	2	1	no	—
881	C₂×D₄	—	2	1	no	—
882	C₂×D₄	—	2	1	no	—
883	C₂×D₄	—	4	1	no	—
884	C₂×D₄	—	4	1	no	—
885	C₂×D₄	—	4	1	no	—
886	C₂×D₄	—	4	1	no	—
887	C₂×D₄	—	4	1	no	—
888	C₂×D₄	—	4	1	no	—
889	C₂×D₄	—	4	4	no	—
890	C₂×D₄	—	4	4	no	—
891	C₂×D₄	—	4	4	no	—
892	C₂×D₄	C₂×C₃×D₄	1	2	yes	—
893	C₂×D₄	C₂×C₃×D₄	1	2	yes	—
894	C₂×D₄	C₂×C₃×D₄	1	2	yes	—
895	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
896	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
897	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
898	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
899	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
900	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
901	C₂×D₄	C₂⁴×C₃	1	2	yes	—
902	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
903	C₂²×C₄	—	2	1	no	—
904	C₂²×C₄	—	2	1	no	—
905	C₂²×C₄	—	2	2	no	—
906	C₂²×C₄	—	2	2	no	—
907	C₂²×C₄	—	2	1	no	—
908	C₂²×C₄	—	2	2	no	—
909	C₂²×C₄	—	2	1	no	—
910	C₂²×C₄	—	2	1	no	—
911	C₂²×C₄	—	2	2	no	—
912	C₂²×C₄	—	2	2	no	—
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	C₂×C₃×D₄	1	2	yes	—
915	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
916	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
917	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
918	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
919	Q₁₆	—	2	4	no	—
920	Q₁₆	—	4	2	no	—
921	Q₁₆	—	4	2	no	—
922	SD₁₆	—	2	4	no	—
923	SD₁₆	—	2	4	no	—
924	SD₁₆	—	4	2	no	—
925	SD₁₆	—	4	2	no	—
926	SD₁₆	—	4	2	no	—
927	SD₁₆	—	4	2	no	—
928	D₈	—	2	4	no	—
929	D₈	—	4	2	no	—
930	D₈	—	4	2	no	—
931	M₁₆	—	4	1	no	—
932	M₁₆	—	4	2	no	—
933	M₁₆	—	4	1	no	—
934	C₂×C₈	—	4	1	no	—
935	C₂×C₈	—	4	1	no	—
936	C₂×C₈	—	4	2	no	—
937	C₂×C₈	C₂⁴×C₃	1	2	yes	—
938	C₂×C₈	C₂⁴×C₃	1	2	yes	—
939	C₂×C₈	C₂⁴×C₃	1	2	yes	—
940	C₂×C₈	C₂⁴×C₃	1	2	yes	—
941	C₄⋊C₄	—	2	2	no	—
942	C₄⋊C₄	—	2	2	no	—
943	C₄⋊C₄	—	2	2	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	C₂×C₃×D₄	1	2	yes	—
952	C₄⋊C₄	C₂×C₃×D₄	1	2	yes	—
953	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
954	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
955	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
956	C₂²⋊C₄	—	2	2	no	—
957	C₂²⋊C₄	—	2	2	no	—
958	C₂²⋊C₄	—	2	2	no	—
959	C₂²⋊C₄	—	2	2	no	—
960	C₂²⋊C₄	—	2	1	no	—
961	C₂²⋊C₄	—	2	1	no	—
962	C₂²⋊C₄	—	2	1	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	2	no	—
968	C₂²⋊C₄	—	2	2	no	—
969	C₂²⋊C₄	—	2	2	no	—
970	C₂²⋊C₄	—	2	2	no	—
971	C₂²⋊C₄	—	2	2	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
978	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
979	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
980	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
981	C₄²	—	2	1	no	—
982	C₄²	—	2	2	no	—
983	C₄²	—	2	1	no	—
984	C₄²	—	2	2	no	—
985	C₄²	—	2	1	no	—
986	C₄²	C₂×C₃×D₄	1	1	yes	characteristic
987	C₄²	C₂×C₃×D₄	1	1	yes	characteristic
988	C₄²	C₂⁴×C₃	1	2	yes	—
989	C₂²×C₃	—	2	2	no	—
990	C₂²×C₃	—	2	2	no	—
991	C₂²×C₃	—	2	2	no	—
992	C₂²×C₃	—	2	2	no	—
993	C₂²×C₃	—	2	2	no	—
994	C₂²×C₃	—	2	1	no	—
995	C₂²×C₃	—	2	2	no	—
996	C₂²×C₃	—	2	2	no	—
997	C₂²×C₃	—	2	1	no	—
998	C₂²×C₃	—	2	1	no	—
999	C₂²×C₃	—	4	2	no	—
1000	C₂²×C₃	—	4	2	no	—
1001	C₂²×C₃	—	4	2	no	—
1002	C₂²×C₃	—	4	2	no	—
1003	C₂²×C₃	—	4	2	no	—
1004	C₂²×C₃	—	4	1	no	—
1005	C₂²×C₃	—	4	1	no	—
1006	C₂²×C₃	—	4	2	no	—
1007	C₂²×C₃	—	16	2	no	—
1008	C₂²×C₃	—	16	2	no	—
1009	C₂²×C₃	—	16	2	no	—
1010	C₂²×C₃	—	16	2	no	—
1011	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1012	C₃×C₄	—	2	2	no	—
1013	C₃×C₄	—	2	2	no	—
1014	C₃×C₄	—	2	1	no	—
1015	C₃×C₄	—	2	2	no	—
1016	C₃×C₄	—	2	2	no	—
1017	C₃×C₄	—	2	1	no	—
1018	C₃×C₄	—	2	1	no	—
1019	C₃×C₄	—	4	2	no	—
1020	C₃×C₄	—	4	2	no	—
1021	C₃×C₄	—	4	2	no	—
1022	C₃×C₄	—	4	2	no	—
1023	C₃×C₄	—	4	2	no	—
1024	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1025	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1026	C₂³	—	2	1	no	—
1027	C₂³	—	2	2	no	—
1028	C₂³	—	2	1	no	—
1029	C₂³	—	2	1	no	—
1030	C₂³	—	4	2	no	—
1031	C₂³	—	4	2	no	—
1032	C₂³	—	4	2	no	—
1033	C₂³	—	8	1	no	—
1034	C₂³	—	8	2	no	—
1035	C₂³	—	8	2	no	—
1036	C₂³	—	8	2	no	—
1037	C₂³	—	8	2	no	—
1038	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1039	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1040	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1041	C₂³	C₂²×C₃×D₄	1	2	yes	—
1042	Q₈	—	2	1	no	—
1043	Q₈	—	2	2	no	—
1044	Q₈	—	2	2	no	—
1045	Q₈	—	2	2	no	—
1046	Q₈	—	2	2	no	—
1047	Q₈	—	4	1	no	—
1048	Q₈	—	4	1	no	—
1049	Q₈	—	4	4	no	—
1050	Q₈	—	4	2	no	—
1051	Q₈	—	8	1	no	—
1052	Q₈	C₃×H(5,𝔽₂)	1	2	yes	—
1053	D₄	—	2	4	no	—
1054	D₄	—	2	1	no	—
1055	D₄	—	2	2	no	—
1056	D₄	—	2	1	no	—
1057	D₄	—	2	1	no	—
1058	D₄	—	2	2	no	—
1059	D₄	—	2	1	no	—
1060	D₄	—	2	1	no	—
1061	D₄	—	4	1	no	—
1062	D₄	—	4	1	no	—
1063	D₄	—	4	1	no	—
1064	D₄	—	4	1	no	—
1065	D₄	—	4	2	no	—
1066	D₄	—	4	2	no	—
1067	D₄	—	4	2	no	—
1068	D₄	—	4	2	no	—
1069	D₄	—	4	2	no	—
1070	D₄	—	4	2	no	—
1071	D₄	—	4	2	no	—
1072	D₄	—	4	2	no	—
1073	D₄	—	4	4	no	—
1074	D₄	—	8	1	no	—
1075	D₄	—	8	2	no	—
1076	D₄	—	8	2	no	—
1077	D₄	—	8	2	no	—
1078	D₄	—	8	2	no	—
1079	D₄	—	8	2	no	—
1080	D₄	—	8	2	no	—
1081	D₄	C₃×H(5,𝔽₂)	1	2	yes	—
1082	C₂×C₄	—	2	4	no	—
1083	C₂×C₄	—	2	1	no	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	2	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	1	no	—
1089	C₂×C₄	—	2	2	no	—
1090	C₂×C₄	—	2	1	no	—
1091	C₂×C₄	—	2	1	no	—
1092	C₂×C₄	—	2	2	no	—
1093	C₂×C₄	—	2	2	no	—
1094	C₂×C₄	—	2	2	no	—
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	4	2	no	—
1098	C₂×C₄	—	4	2	no	—
1099	C₂×C₄	—	4	2	no	—
1100	C₂×C₄	—	4	4	no	—
1101	C₂×C₄	—	4	4	no	—
1102	C₂×C₄	—	4	2	no	—
1103	C₂×C₄	—	8	2	no	—
1104	C₂×C₄	—	8	2	no	—
1105	C₂×C₄	—	8	2	no	—
1106	C₂×C₄	—	8	1	no	—
1107	C₂×C₄	—	8	2	no	—
1108	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1109	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1110	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1111	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1112	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1113	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1114	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1115	C₈	—	2	2	no	—
1116	C₈	—	2	2	no	—
1117	C₈	—	2	2	no	—
1118	C₈	—	2	2	no	—
1119	C₂×C₃	—	4	2	no	—
1120	C₂×C₃	—	4	1	no	—
1121	C₂×C₃	—	4	1	no	—
1122	C₂×C₃	—	4	1	no	—
1123	C₂×C₃	—	4	2	no	—
1124	C₂×C₃	—	8	2	no	—
1125	C₂×C₃	—	8	1	no	—
1126	C₂×C₃	—	8	1	no	—
1127	C₂×C₃	#3484	1	1	yes	characteristic
1128	C₂×C₃	#3584	1	2	yes	—
1129	C₂²	—	2	1	no	—
1130	C₂²	—	2	2	no	—
1131	C₂²	—	2	2	no	—
1132	C₂²	—	2	1	no	—
1133	C₂²	—	2	1	no	—
1134	C₂²	—	2	2	no	—
1135	C₂²	—	2	2	no	—
1136	C₂²	—	2	2	no	—
1137	C₂²	—	2	2	no	—
1138	C₂²	—	2	2	no	—
1139	C₂²	—	4	2	no	—
1140	C₂²	—	4	1	no	—
1141	C₂²	—	4	1	no	—
1142	C₂²	—	4	2	no	—
1143	C₂²	—	4	2	no	—
1144	C₂²	—	4	2	no	—
1145	C₂²	—	4	2	no	—
1146	C₂²	—	4	2	no	—
1147	C₂²	—	16	2	no	—
1148	C₂²	—	16	2	no	—
1149	C₂²	—	16	2	no	—
1150	C₂²	—	16	2	no	—
1151	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1152	C₄	—	2	1	no	—
1153	C₄	—	2	2	no	—
1154	C₄	—	2	2	no	—
1155	C₄	—	2	1	no	—
1156	C₄	—	2	1	no	—
1157	C₄	—	2	2	no	—
1158	C₄	—	2	2	no	—
1159	C₄	—	4	2	no	—
1160	C₄	—	4	2	no	—
1161	C₄	—	4	2	no	—
1162	C₄	—	4	2	no	—
1163	C₄	—	4	2	no	—
1164	C₄	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1165	C₄	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1166	C₃	#61663	1	1	yes	characteristic, direct product factor, Sylow
1167	C₂	—	4	1	no	—
1168	C₂	—	4	1	no	—
1169	C₂	—	4	1	no	—
1170	C₂	—	4	2	no	—
1171	C₂	—	4	2	no	—
1172	C₂	—	8	1	no	—
1173	C₂	—	8	1	no	—
1174	C₂	—	8	2	no	—
1175	C₂	C₃×#3484	1	1	yes	characteristic
1176	C₂	C₃×#3584	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃×#3551	C₂	semidirect
2. C₃×#3500	C₂	semidirect
3. C₃×#3323	C₂	semidirect
4. C₃×#3322	C₂	semidirect
5. C₃×#3301	C₂	semidirect
6. C₃×#3300	C₂	semidirect
7. C₃×#3282	C₂	semidirect
8. C₃×#3280	C₂	semidirect
9. C₃×#3277	C₂	semidirect
10. C₃×#3275	C₂	semidirect
11. C₃×#3211	C₂	semidirect
12. C₃×#3202	C₂	semidirect
13. C₃×#3200	C₂	semidirect
14. C₃×#3198	C₂	semidirect
15. C₃×#3102	C₂	semidirect
16. C₃×#3013	C₂	semidirect
17. C₃×#3009	C₂	semidirect
18. C₃×#3008	C₂	semidirect
19. C₃×#2979	C₂	semidirect
20. #61663	C₃	direct (N × H)
21. C₂×C₃×2₋¹⁺⁴	C₂²	semidirect
23. C₂×C₃×#137	C₂²	semidirect
24. C₂×C₃×#137	C₂²	semidirect
26. C₂×C₃×#135	C₂²	semidirect
27. C₂²×C₃×SD₁₆	C₂²	semidirect
32. C₃×#553	C₂²	semidirect
33. C₃×#552	C₂²	semidirect
36. C₃×#548	C₂²	semidirect
37. C₃×#548	C₂²	semidirect
41. C₃×#546	C₂²	semidirect
42. C₃×#546	C₂²	semidirect
45. C₃×#537	C₂²	semidirect
51. C₃×#535	C₂²	semidirect
54. C₃×#529	C₂²	semidirect
56. C₂×C₃×#124	C₂²	semidirect
57. C₃×C₄×#41	C₂²	semidirect
58. C₃×#495	C₂²	semidirect
59. C₃×#495	C₂²	semidirect
60. C₃×#488	C₂²	semidirect
61. C₃×#488	C₂²	semidirect
62. C₃×#485	C₂²	semidirect
63. C₃×#485	C₂²	semidirect
64. C₃×#485	C₂²	semidirect
65. C₃×#482	C₂²	semidirect
66. C₃×#481	C₂²	semidirect
67. C₃×#480	C₂²	semidirect
68. C₃×#479	C₂²	semidirect
69. C₃×#478	C₂²	semidirect
70. C₃×#470	C₂²	semidirect
71. C₃×#469	C₂²	semidirect
72. C₃×#468	C₂²	semidirect
73. C₃×#468	C₂²	semidirect
74. C₃×#467	C₂²	semidirect
75. C₃×#466	C₂²	semidirect
76. C₃×#465	C₂²	semidirect
77. C₃×#465	C₂²	semidirect
78. C₃×#464	C₂²	semidirect
79. C₃×#464	C₂²	semidirect
80. C₃×#464	C₂²	semidirect
81. C₃×#463	C₂²	semidirect
82. C₃×#463	C₂²	semidirect
83. C₃×#463	C₂²	semidirect
85. C₃×#452	C₂²	semidirect
86. C₃×#452	C₂²	semidirect
87. C₃×#451	C₂²	semidirect
88. C₃×#451	C₂²	semidirect
89. C₃×#451	C₂²	semidirect
91. C₃×#450	C₂²	semidirect
92. C₃×#450	C₂²	semidirect
95. C₃×#449	C₂²	semidirect
96. C₃×#449	C₂²	semidirect
97. C₃×#449	C₂²	semidirect
98. C₃×#448	C₂²	semidirect
99. C₃×#448	C₂²	semidirect
102. C₃×C₄×Q₁₆	C₂²	semidirect
103. C₃×C₄×SD₁₆	C₂²	semidirect
104. C₃×C₄×SD₁₆	C₂²	semidirect
105. C₃×C₄×D₈	C₂²	semidirect
106. C₃×#436	C₂²	semidirect
107. C₃×#436	C₂²	semidirect
108. C₃×C₈×D₄	C₂²	semidirect
109. C₃×C₈×D₄	C₂²	semidirect
110. C₃×#431	C₂²	semidirect
112. C₃×#418	C₂²	semidirect
113. C₃×#417	C₂²	semidirect
115. C₃×#416	C₂²	semidirect
116. C₂×C₃×#103	C₂²	semidirect
119. C₃×#408	C₂²	semidirect
120. #3551	C₂×C₃	semidirect
121. #3500	C₂×C₃	semidirect
122. #3323	C₂×C₃	semidirect
123. #3322	C₂×C₃	semidirect
124. #3301	C₂×C₃	semidirect
125. #3300	C₂×C₃	semidirect
126. #3282	C₂×C₃	semidirect
127. #3280	C₂×C₃	semidirect
128. #3277	C₂×C₃	semidirect
129. #3275	C₂×C₃	semidirect
130. #3211	C₂×C₃	semidirect
131. #3202	C₂×C₃	semidirect
132. #3200	C₂×C₃	semidirect
133. #3198	C₂×C₃	semidirect
134. #3102	C₂×C₃	semidirect
135. #3013	C₂×C₃	semidirect
136. #3009	C₂×C₃	semidirect
137. #3008	C₂×C₃	semidirect
138. #2979	C₂×C₃	semidirect
310. C₂×2₋¹⁺⁴	C₂²×C₃	semidirect
312. C₂×#137	C₂²×C₃	semidirect
313. C₂×#137	C₂²×C₃	semidirect
315. C₂×#135	C₂²×C₃	semidirect
316. C₂²×SD₁₆	C₂²×C₃	semidirect
321. #553	C₂²×C₃	semidirect
322. #552	C₂²×C₃	semidirect
325. #548	C₂²×C₃	semidirect
326. #548	C₂²×C₃	semidirect
330. #546	C₂²×C₃	semidirect
331. #546	C₂²×C₃	semidirect
334. #537	C₂²×C₃	semidirect
340. #535	C₂²×C₃	semidirect
343. #529	C₂²×C₃	semidirect
345. C₂×#124	C₂²×C₃	semidirect
346. C₄×#41	C₂²×C₃	semidirect
347. #495	C₂²×C₃	semidirect
348. #495	C₂²×C₃	semidirect
349. #488	C₂²×C₃	semidirect
350. #488	C₂²×C₃	semidirect
351. #485	C₂²×C₃	semidirect
352. #485	C₂²×C₃	semidirect
353. #485	C₂²×C₃	semidirect
354. #482	C₂²×C₃	semidirect
355. #481	C₂²×C₃	semidirect
356. #480	C₂²×C₃	semidirect
357. #479	C₂²×C₃	semidirect
358. #478	C₂²×C₃	semidirect
359. #470	C₂²×C₃	semidirect
360. #469	C₂²×C₃	semidirect
361. #468	C₂²×C₃	semidirect
362. #468	C₂²×C₃	semidirect
363. #467	C₂²×C₃	semidirect
364. #466	C₂²×C₃	semidirect
365. #465	C₂²×C₃	semidirect
366. #465	C₂²×C₃	semidirect
367. #464	C₂²×C₃	semidirect
368. #464	C₂²×C₃	semidirect
369. #464	C₂²×C₃	semidirect
370. #463	C₂²×C₃	semidirect
371. #463	C₂²×C₃	semidirect
372. #463	C₂²×C₃	semidirect
374. #452	C₂²×C₃	semidirect
375. #452	C₂²×C₃	semidirect
376. #451	C₂²×C₃	semidirect
377. #451	C₂²×C₃	semidirect
378. #451	C₂²×C₃	semidirect
380. #450	C₂²×C₃	semidirect
381. #450	C₂²×C₃	semidirect
384. #449	C₂²×C₃	semidirect
385. #449	C₂²×C₃	semidirect
386. #449	C₂²×C₃	semidirect
387. #448	C₂²×C₃	semidirect
388. #448	C₂²×C₃	semidirect
391. C₄×Q₁₆	C₂²×C₃	semidirect
392. C₄×SD₁₆	C₂²×C₃	semidirect
393. C₄×SD₁₆	C₂²×C₃	semidirect
394. C₄×D₈	C₂²×C₃	semidirect
395. #436	C₂²×C₃	semidirect
396. #436	C₂²×C₃	semidirect
397. C₈×D₄	C₂²×C₃	semidirect
398. C₈×D₄	C₂²×C₃	semidirect
399. #431	C₂²×C₃	semidirect
401. #418	C₂²×C₃	semidirect
402. #417	C₂²×C₃	semidirect
404. #416	C₂²×C₃	semidirect
405. C₂×#103	C₂²×C₃	semidirect
408. #408	C₂²×C₃	semidirect
1166. C₃	#61663	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×#3551	2
C₃×#3500	2
C₃×#3323	2
C₃×#3322	2
C₃×#3301	2
C₃×#3300	2
C₃×#3282	2
C₃×#3280	2
C₃×#3277	2
C₃×#3275	2
C₃×#3211	2
C₃×#3202	2
C₃×#3200	2
C₃×#3198	2
C₃×#3102	2
C₃×#3013	2
C₃×#3009	2
C₃×#3008	2
C₃×#2979	2
#61663	3

Subgroups — C3×#61663 #10680270

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#61663 #10680270