Subgroups — C₃×#61646 #10680253

Order 768.

2030 conjugacy classes of subgroups.

The subgroup lattice has 1156 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3540	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#3486	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#3329	C₂	1	2	yes	maximal, complemented
4	C₃×#3328	C₂	1	2	yes	maximal, complemented
5	C₃×#3321	C₂	1	2	yes	maximal, complemented
6	C₃×#3313	C₂	1	2	yes	maximal, complemented
7	C₃×#3277	C₂	1	2	yes	maximal, complemented
8	C₃×#3275	C₂	1	2	yes	maximal, complemented
9	C₃×#3270	C₂	1	2	yes	maximal, complemented
10	C₃×#3266	C₂	1	2	yes	maximal, complemented
11	C₃×#3225	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×#3197	C₂	1	2	yes	maximal, complemented
15	C₃×#3121	C₂	1	2	yes	maximal, complemented
16	C₃×#3011	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#3010	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#3004	C₂	1	2	yes	maximal, complemented
19	C₃×#2978	C₂	1	1	yes	maximal, characteristic, complemented
20	#61646	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
21	C₂×C₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
22	C₂³×C₃×Q₈	C₂²	1	1	yes	characteristic, complemented
23	C₂×C₃×#137	C₂²	1	2	yes	—
24	C₂×C₃×#137	C₂²	1	2	yes	—
25	C₂×C₃×#137	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
27	C₂²×C₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
28	C₂²×C₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
29	C₃×H(3,𝔽₄)	—	2	1	no	—
30	C₃×#560	—	2	1	no	—
31	C₃×#559	—	2	1	no	—
32	C₃×#556	C₂²	1	2	yes	—
33	C₃×#555	C₂²	1	2	yes	—
34	C₃×#551	—	2	1	no	—
35	C₃×D₄×Q₈	—	2	2	no	—
36	C₃×D₄×Q₈	C₂²	1	2	yes	—
37	C₃×D₄×Q₈	C₂²	1	2	yes	complemented
38	C₃×#548	—	2	2	no	—
39	C₃×#548	C₂²	1	2	yes	—
40	C₃×#548	C₂²	1	2	yes	—
41	C₃×#548	C₂²	1	2	yes	complemented
42	C₃×#546	C₂²	1	2	yes	—
43	C₃×#542	—	2	2	no	—
44	C₃×#542	C₂²	1	2	yes	—
45	C₃×#538	—	2	2	no	—
46	C₃×#536	—	2	1	no	—
47	C₃×#536	—	2	1	no	—
48	C₃×#536	C₂²	1	1	yes	characteristic
49	C₃×#536	C₂²	1	1	yes	characteristic
50	C₃×#536	C₂²	1	1	yes	characteristic, complemented
51	C₃×#535	C₂²	1	1	yes	characteristic
52	C₃×#525	—	2	1	no	—
53	C₃×#525	—	2	1	no	—
54	C₃×#525	C₂²	1	2	yes	—
55	C₃×#525	C₂²	1	1	yes	characteristic
56	C₃×#525	C₂²	1	1	yes	characteristic, complemented
57	C₃×#519	C₂²	1	1	yes	characteristic, complemented
58	C₃×#497	C₂²	1	2	yes	complemented
59	C₃×#495	C₂²	1	2	yes	complemented
60	C₃×#489	C₂²	1	2	yes	complemented
61	C₃×#487	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×#485	C₂²	1	2	yes	complemented
66	C₃×#482	C₂²	1	2	yes	—
67	C₃×#482	C₂²	1	2	yes	complemented
68	C₃×#477	C₂²	1	2	yes	complemented
69	C₃×#475	C₂²	1	2	yes	complemented
70	C₃×#470	C₂²	1	2	yes	complemented
71	C₃×#470	C₂²	1	2	yes	complemented
72	C₃×#469	C₂²	1	2	yes	—
73	C₃×#468	C₂²	1	2	yes	—
74	C₃×#468	C₂²	1	2	yes	complemented
75	C₃×#468	C₂²	1	2	yes	complemented
76	C₃×#467	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×#462	C₂²	1	2	yes	complemented
83	C₃×#461	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×#451	C₂²	1	2	yes	complemented
91	C₃×#451	C₂²	1	2	yes	complemented
92	C₃×#451	C₂²	1	2	yes	complemented
93	C₃×#450	C₂²	1	2	yes	complemented
94	C₃×#449	C₂²	1	2	yes	—
95	C₃×#449	C₂²	1	2	yes	—
96	C₃×#449	C₂²	1	2	yes	complemented
97	C₃×#448	C₂²	1	2	yes	—
98	C₃×#448	C₂²	1	2	yes	—
99	C₃×#448	C₂²	1	2	yes	—
100	C₃×#448	C₂²	1	2	yes	—
101	C₃×#448	C₂²	1	2	yes	complemented
102	C₃×#441	C₂²	1	2	yes	complemented
103	C₃×#440	C₂²	1	2	yes	complemented
104	C₃×C₄×Q₁₆	C₂²	1	2	yes	complemented
105	C₃×C₄×SD₁₆	C₂²	1	2	yes	complemented
106	C₃×#436	C₂²	1	2	yes	—
107	C₃×#436	C₂²	1	2	yes	complemented
108	C₃×#435	C₂²	1	2	yes	—
109	C₃×#435	C₂²	1	2	yes	complemented
110	C₃×#433	C₂²	1	2	yes	complemented
111	C₃×#419	C₂²	1	2	yes	complemented
112	C₃×#419	C₂²	1	2	yes	complemented
113	C₃×#419	C₂²	1	1	yes	characteristic, complemented
114	C₃×#419	C₂²	1	1	yes	characteristic, complemented
115	C₃×#416	C₂²	1	1	yes	characteristic, complemented
116	C₃×#416	C₂²	1	1	yes	characteristic, complemented
117	C₃×#408	C₂²	1	1	yes	characteristic
118	C₃×#408	C₂²	1	1	yes	characteristic
119	C₃×#407	C₂²	1	2	yes	complemented
120	#3540	C₂×C₃	1	1	yes	characteristic, complemented
121	#3486	C₂×C₃	1	1	yes	characteristic, complemented
122	#3329	C₂×C₃	1	2	yes	complemented
123	#3328	C₂×C₃	1	2	yes	complemented
124	#3321	C₂×C₃	1	2	yes	complemented
125	#3313	C₂×C₃	1	2	yes	complemented
126	#3277	C₂×C₃	1	2	yes	complemented
127	#3275	C₂×C₃	1	2	yes	complemented
128	#3270	C₂×C₃	1	2	yes	complemented
129	#3266	C₂×C₃	1	2	yes	complemented
130	#3225	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	#3197	C₂×C₃	1	2	yes	complemented
134	#3121	C₂×C₃	1	2	yes	complemented
135	#3011	C₂×C₃	1	1	yes	characteristic, complemented
136	#3010	C₂×C₃	1	1	yes	characteristic, complemented
137	#3004	C₂×C₃	1	2	yes	complemented
138	#2978	C₂×C₃	1	1	yes	characteristic, complemented
139	C₃×2₋¹⁺⁴	—	4	2	no	—
140	C₃×2₋¹⁺⁴	—	4	2	no	—
141	C₂×C₃×#41	—	2	1	no	—
142	C₂×C₃×#41	—	2	1	no	—
143	C₂×C₃×#41	—	2	1	no	—
144	C₂×C₃×#41	C₂³	1	1	yes	characteristic
145	C₂×C₃×#41	C₂³	1	1	yes	characteristic
146	C₂×C₃×#41	C₂³	1	2	yes	—
147	C₂×C₃×#41	C₂³	1	1	yes	characteristic
148	C₂×C₃×#41	C₂³	1	1	yes	characteristic
149	C₂²×C₃×Q₈	—	2	1	no	—
150	C₂²×C₃×Q₈	—	2	1	no	—
151	C₂²×C₃×Q₈	—	2	2	no	—
152	C₂²×C₃×Q₈	—	4	2	no	—
153	C₂²×C₃×Q₈	—	4	2	no	—
154	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
155	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
156	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
157	C₂²×C₃×Q₈	C₂³	1	2	yes	—
158	C₂²×C₃×Q₈	C₂³	1	2	yes	—
159	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
160	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
161	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
162	C₂³×C₃×C₄	—	2	1	no	—
163	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
164	C₃×#137	—	4	4	no	—
165	C₃×#137	—	4	4	no	—
166	C₃×#137	—	4	2	no	—
167	C₃×AGL(1,ℤ/8)	—	4	2	no	—
168	C₂×C₃×Q₁₆	—	4	2	no	—
169	C₂×C₃×Q₁₆	C₂³	1	2	yes	—
170	C₂×C₃×Q₁₆	C₂³	1	2	yes	—
171	C₂×C₃×Q₁₆	C₂³	1	2	yes	—
172	C₂×C₃×Q₁₆	C₂³	1	2	yes	—
173	C₂×C₃×Q₁₆	C₂³	1	2	yes	—
174	C₂×C₃×SD₁₆	—	4	2	no	—
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×SD₁₆	C₂³	1	2	yes	—
179	C₂×C₃×SD₁₆	C₂³	1	2	yes	—
180	C₂×C₃×SD₁₆	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	2	yes	—
184	C₂×C₃×M₁₆	C₂³	1	2	yes	—
185	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
186	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
187	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
188	C₃×C₄⋊Q₈	—	2	1	no	—
189	C₃×C₄⋊Q₈	—	2	1	no	—
190	C₃×C₄⋊Q₈	—	2	2	no	—
191	C₃×C₄⋊Q₈	—	2	2	no	—
192	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
193	C₃×C₄⋊Q₈	C₂³	1	2	yes	—
194	C₃×#127	—	2	1	no	—
195	C₃×#126	—	2	2	no	—
196	C₃×#126	—	2	2	no	—
197	C₃×#126	—	2	2	no	—
198	C₃×#124	—	2	1	no	—
199	C₃×#124	—	2	1	no	—
200	C₃×#124	—	2	2	no	—
201	C₃×#124	—	2	1	no	—
202	C₃×#124	—	2	2	no	—
203	C₃×#124	—	2	2	no	—
204	C₃×#124	—	2	2	no	—
205	C₃×#124	—	2	2	no	—
206	C₃×#124	—	2	2	no	—
207	C₃×#124	—	2	2	no	—
208	C₃×#124	C₂³	1	2	yes	—
209	C₃×#124	C₂³	1	2	yes	—
210	C₃×#123	—	2	1	no	—
211	C₃×#123	—	2	1	no	—
212	C₃×#123	—	2	1	no	—
213	C₃×#123	—	2	1	no	—
214	C₃×#123	—	2	2	no	—
215	C₃×#123	—	2	1	no	—
216	C₃×#123	—	2	2	no	—
217	C₃×#123	—	2	2	no	—
218	C₃×#123	—	2	1	no	—
219	C₃×#123	—	2	1	no	—
220	C₃×#123	D₄	1	1	yes	characteristic
221	C₃×#123	D₄	1	1	yes	characteristic
222	C₃×C₂²⋊Q₈	—	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	—	2	2	no	—
228	C₃×C₂²⋊Q₈	—	2	2	no	—
229	C₃×C₂²⋊Q₈	—	2	2	no	—
230	C₃×C₂²⋊Q₈	—	2	2	no	—
231	C₃×C₂²⋊Q₈	D₄	1	2	yes	—
232	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
233	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
234	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
235	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
236	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
237	C₃×C₂²⋊Q₈	C₂³	1	2	yes	—
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	—	2	2	no	—
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×#120	—	2	2	no	—
249	C₃×#120	—	2	1	no	—
250	C₃×#120	—	2	1	no	—
251	C₃×#120	—	2	2	no	—
252	C₃×#120	—	2	1	no	—
253	C₃×#120	D₄	1	1	yes	characteristic
254	C₃×#120	D₄	1	1	yes	characteristic
255	C₃×C₄×Q₈	—	2	2	no	—
256	C₃×C₄×Q₈	—	2	2	no	—
257	C₃×C₄×Q₈	C₂³	1	2	yes	—
258	C₃×C₄×Q₈	C₂³	1	2	yes	—
259	C₃×C₄×Q₈	C₂³	1	2	yes	—
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	—	2	2	no	—
264	C₃×C₄×D₄	—	2	2	no	—
265	C₃×C₄×D₄	—	2	2	no	—
266	C₃×C₄×D₄	—	2	2	no	—
267	C₃×C₄×D₄	—	2	2	no	—
268	C₃×C₄×D₄	C₂³	1	2	yes	—
269	C₃×C₄×D₄	C₂³	1	2	yes	—
270	C₃×C₄×D₄	C₂³	1	2	yes	—
271	C₃×#117	—	2	2	no	—
272	C₃×#117	—	2	1	no	—
273	C₃×#117	—	2	1	no	—
274	C₃×#117	C₂³	1	1	yes	characteristic
275	C₃×#117	C₂³	1	1	yes	characteristic
276	C₃×#117	C₂³	1	2	yes	—
277	C₃×#117	C₂³	1	1	yes	characteristic
278	C₃×#117	C₂³	1	1	yes	characteristic
279	C₂×C₃×C₂²⋊C₄	—	2	2	no	—
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×#103	C₂³	1	2	yes	—
295	C₃×#103	C₂³	1	2	yes	—
296	C₃×#103	C₂³	1	2	yes	—
297	C₃×#103	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×#97	C₂³	1	2	yes	—
309	C₃×C₄×C₈	C₂³	1	2	yes	—
310	C₂×2₋¹⁺⁴	C₂²×C₃	1	1	yes	characteristic
311	C₂³×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
312	C₂×#137	C₂²×C₃	1	2	yes	—
313	C₂×#137	C₂²×C₃	1	2	yes	—
314	C₂×#137	C₂²×C₃	1	1	yes	characteristic, complemented
315	C₂×AGL(1,ℤ/8)	C₂²×C₃	1	1	yes	characteristic, complemented
316	C₂²×Q₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
317	C₂²×SD₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
318	H(3,𝔽₄)	—	2	1	no	—
319	#560	—	2	1	no	—
320	#559	—	2	1	no	—
321	#556	C₂²×C₃	1	2	yes	—
322	#555	C₂²×C₃	1	2	yes	—
323	#551	—	2	1	no	—
324	D₄×Q₈	—	2	2	no	—
325	D₄×Q₈	C₂²×C₃	1	2	yes	—
326	D₄×Q₈	C₂²×C₃	1	2	yes	complemented
327	#548	—	2	2	no	—
328	#548	C₂²×C₃	1	2	yes	—
329	#548	C₂²×C₃	1	2	yes	—
330	#548	C₂²×C₃	1	2	yes	complemented
331	#546	C₂²×C₃	1	2	yes	—
332	#542	—	2	2	no	—
333	#542	C₂²×C₃	1	2	yes	—
334	#538	—	2	2	no	—
335	#536	—	2	1	no	—
336	#536	—	2	1	no	—
337	#536	C₂²×C₃	1	1	yes	characteristic
338	#536	C₂²×C₃	1	1	yes	characteristic
339	#536	C₂²×C₃	1	1	yes	characteristic, complemented
340	#535	C₂²×C₃	1	1	yes	characteristic
341	#525	—	2	1	no	—
342	#525	—	2	1	no	—
343	#525	C₂²×C₃	1	2	yes	—
344	#525	C₂²×C₃	1	1	yes	characteristic
345	#525	C₂²×C₃	1	1	yes	characteristic, complemented
346	#519	C₂²×C₃	1	1	yes	characteristic, complemented
347	#497	C₂²×C₃	1	2	yes	complemented
348	#495	C₂²×C₃	1	2	yes	complemented
349	#489	C₂²×C₃	1	2	yes	complemented
350	#487	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	#485	C₂²×C₃	1	2	yes	complemented
355	#482	C₂²×C₃	1	2	yes	—
356	#482	C₂²×C₃	1	2	yes	complemented
357	#477	C₂²×C₃	1	2	yes	complemented
358	#475	C₂²×C₃	1	2	yes	complemented
359	#470	C₂²×C₃	1	2	yes	complemented
360	#470	C₂²×C₃	1	2	yes	complemented
361	#469	C₂²×C₃	1	2	yes	—
362	#468	C₂²×C₃	1	2	yes	—
363	#468	C₂²×C₃	1	2	yes	complemented
364	#468	C₂²×C₃	1	2	yes	complemented
365	#467	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	#462	C₂²×C₃	1	2	yes	complemented
372	#461	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	#451	C₂²×C₃	1	2	yes	complemented
380	#451	C₂²×C₃	1	2	yes	complemented
381	#451	C₂²×C₃	1	2	yes	complemented
382	#450	C₂²×C₃	1	2	yes	complemented
383	#449	C₂²×C₃	1	2	yes	—
384	#449	C₂²×C₃	1	2	yes	—
385	#449	C₂²×C₃	1	2	yes	complemented
386	#448	C₂²×C₃	1	2	yes	—
387	#448	C₂²×C₃	1	2	yes	—
388	#448	C₂²×C₃	1	2	yes	—
389	#448	C₂²×C₃	1	2	yes	—
390	#448	C₂²×C₃	1	2	yes	complemented
391	#441	C₂²×C₃	1	2	yes	complemented
392	#440	C₂²×C₃	1	2	yes	complemented
393	C₄×Q₁₆	C₂²×C₃	1	2	yes	complemented
394	C₄×SD₁₆	C₂²×C₃	1	2	yes	complemented
395	#436	C₂²×C₃	1	2	yes	—
396	#436	C₂²×C₃	1	2	yes	complemented
397	#435	C₂²×C₃	1	2	yes	—
398	#435	C₂²×C₃	1	2	yes	complemented
399	#433	C₂²×C₃	1	2	yes	complemented
400	#419	C₂²×C₃	1	1	yes	characteristic, complemented
401	#419	C₂²×C₃	1	2	yes	complemented
402	#419	C₂²×C₃	1	1	yes	characteristic, complemented
403	#419	C₂²×C₃	1	2	yes	complemented
404	#416	C₂²×C₃	1	1	yes	characteristic, complemented
405	#416	C₂²×C₃	1	1	yes	characteristic, complemented
406	#408	C₂²×C₃	1	1	yes	characteristic
407	#408	C₂²×C₃	1	1	yes	characteristic
408	#407	C₂²×C₃	1	2	yes	complemented
409	C₂⁴×C₃	—	2	1	no	—
410	C₂⁴×C₃	C₂×D₄	1	1	yes	characteristic
411	C₃×#41	—	2	2	no	—
412	C₃×#41	—	2	2	no	—
413	C₃×#41	—	4	1	no	—
414	C₃×#41	—	4	1	no	—
415	C₃×#41	—	4	1	no	—
416	C₃×#41	—	4	1	no	—
417	C₃×#41	—	4	1	no	—
418	C₃×#41	—	4	1	no	—
419	C₃×#41	—	4	4	no	—
420	C₃×#41	—	4	4	no	—
421	C₃×#41	—	4	2	no	—
422	C₃×#41	—	4	2	no	—
423	C₃×#41	—	4	4	no	—
424	C₂×C₃×Q₈	—	2	2	no	—
425	C₂×C₃×Q₈	—	2	2	no	—
426	C₂×C₃×Q₈	—	2	1	no	—
427	C₂×C₃×Q₈	—	2	2	no	—
428	C₂×C₃×Q₈	—	2	2	no	—
429	C₂×C₃×Q₈	—	2	1	no	—
430	C₂×C₃×Q₈	—	2	1	no	—
431	C₂×C₃×Q₈	—	2	1	no	—
432	C₂×C₃×Q₈	—	2	2	no	—
433	C₂×C₃×Q₈	—	2	1	no	—
434	C₂×C₃×Q₈	—	2	2	no	—
435	C₂×C₃×Q₈	—	2	2	no	—
436	C₂×C₃×Q₈	—	2	4	no	—
437	C₂×C₃×Q₈	—	2	4	no	—
438	C₂×C₃×Q₈	—	4	2	no	—
439	C₂×C₃×Q₈	—	4	2	no	—
440	C₂×C₃×Q₈	—	4	1	no	—
441	C₂×C₃×Q₈	—	4	1	no	—
442	C₂×C₃×Q₈	—	4	1	no	—
443	C₂×C₃×Q₈	—	4	1	no	—
444	C₂×C₃×Q₈	—	4	4	no	—
445	C₂×C₃×Q₈	—	4	1	no	—
446	C₂×C₃×Q₈	—	4	1	no	—
447	C₂×C₃×Q₈	—	4	8	no	—
448	C₂×C₃×Q₈	—	4	4	no	—
449	C₂×C₃×Q₈	C₂×D₄	1	1	yes	characteristic
450	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
451	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
452	C₂×C₃×Q₈	C₂⁴	1	2	yes	—
453	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
454	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
455	C₂×C₃×D₄	—	2	2	no	—
456	C₂×C₃×D₄	—	2	1	no	—
457	C₂×C₃×D₄	—	2	1	no	—
458	C₂×C₃×D₄	—	2	1	no	—
459	C₂×C₃×D₄	—	2	2	no	—
460	C₂×C₃×D₄	—	2	2	no	—
461	C₂×C₃×D₄	—	2	2	no	—
462	C₂×C₃×D₄	—	2	2	no	—
463	C₂×C₃×D₄	—	2	1	no	—
464	C₂×C₃×D₄	—	4	1	no	—
465	C₂×C₃×D₄	—	4	1	no	—
466	C₂×C₃×D₄	C₂×D₄	1	2	yes	—
467	C₂×C₃×D₄	C₂×D₄	1	2	yes	—
468	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
469	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
470	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
471	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
472	C₂×C₃×D₄	C₂⁴	1	2	yes	—
473	C₂²×C₃×C₄	—	2	1	no	—
474	C₂²×C₃×C₄	—	2	2	no	—
475	C₂²×C₃×C₄	—	2	2	no	—
476	C₂²×C₃×C₄	—	2	1	no	—
477	C₂²×C₃×C₄	—	2	1	no	—
478	C₂²×C₃×C₄	—	2	1	no	—
479	C₂²×C₃×C₄	—	2	1	no	—
480	C₂²×C₃×C₄	—	2	1	no	—
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	—	4	1	no	—
486	C₂²×C₃×C₄	—	4	1	no	—
487	C₂²×C₃×C₄	—	4	4	no	—
488	C₂²×C₃×C₄	C₂×D₄	1	2	yes	—
489	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
490	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
491	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
492	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
493	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
494	C₃×Q₁₆	—	2	4	no	—
495	C₃×Q₁₆	—	2	4	no	—
496	C₃×Q₁₆	—	4	2	no	—
497	C₃×Q₁₆	—	4	2	no	—
498	C₃×Q₁₆	—	4	2	no	—
499	C₃×SD₁₆	—	2	4	no	—
500	C₃×SD₁₆	—	2	4	no	—
501	C₃×SD₁₆	—	4	2	no	—
502	C₃×SD₁₆	—	4	2	no	—
503	C₃×SD₁₆	—	4	2	no	—
504	C₃×SD₁₆	—	4	2	no	—
505	C₃×D₈	—	4	2	no	—
506	C₃×M₁₆	—	4	1	no	—
507	C₃×M₁₆	—	4	2	no	—
508	C₃×M₁₆	—	4	2	no	—
509	C₃×M₁₆	—	4	1	no	—
510	C₂×C₃×C₈	—	4	1	no	—
511	C₂×C₃×C₈	—	4	1	no	—
512	C₂×C₃×C₈	C₂⁴	1	2	yes	—
513	C₂×C₃×C₈	C₂⁴	1	2	yes	—
514	C₂×C₃×C₈	C₂⁴	1	2	yes	—
515	C₂×C₃×C₈	C₂⁴	1	2	yes	—
516	C₃×C₄⋊C₄	—	2	2	no	—
517	C₃×C₄⋊C₄	—	2	2	no	—
518	C₃×C₄⋊C₄	—	2	2	no	—
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	C₂×D₄	1	2	yes	—
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	1	no	—
536	C₃×C₂²⋊C₄	—	2	1	no	—
537	C₃×C₂²⋊C₄	—	2	2	no	—
538	C₃×C₂²⋊C₄	—	2	1	no	—
539	C₃×C₂²⋊C₄	—	2	2	no	—
540	C₃×C₂²⋊C₄	—	2	2	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	C₂×D₄	1	2	yes	—
554	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
555	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	2	no	—
562	C₃×C₄²	—	2	2	no	—
563	C₃×C₄²	—	2	1	no	—
564	C₃×C₄²	—	2	1	no	—
565	C₃×C₄²	—	2	2	no	—
566	C₃×C₄²	C₂⁴	1	2	yes	—
567	2₋¹⁺⁴	—	4	2	no	—
568	2₋¹⁺⁴	—	4	2	no	—
569	C₂×#41	—	2	1	no	—
570	C₂×#41	—	2	1	no	—
571	C₂×#41	—	2	1	no	—
572	C₂×#41	C₂³×C₃	1	1	yes	characteristic
573	C₂×#41	C₂³×C₃	1	1	yes	characteristic
574	C₂×#41	C₂³×C₃	1	2	yes	—
575	C₂×#41	C₂³×C₃	1	1	yes	characteristic
576	C₂×#41	C₂³×C₃	1	1	yes	characteristic
577	C₂²×Q₈	—	2	1	no	—
578	C₂²×Q₈	—	2	1	no	—
579	C₂²×Q₈	—	2	2	no	—
580	C₂²×Q₈	—	4	2	no	—
581	C₂²×Q₈	—	4	2	no	—
582	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
583	C₂²×Q₈	C₂³×C₃	1	2	yes	—
584	C₂²×Q₈	C₂³×C₃	1	2	yes	—
585	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
586	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
587	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
588	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
589	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
590	C₂³×C₄	—	2	1	no	—
591	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
592	#137	—	4	4	no	—
593	#137	—	4	4	no	—
594	#137	—	4	2	no	—
595	AGL(1,ℤ/8)	—	4	2	no	—
596	C₂×Q₁₆	—	4	2	no	—
597	C₂×Q₁₆	C₂³×C₃	1	2	yes	—
598	C₂×Q₁₆	C₂³×C₃	1	2	yes	—
599	C₂×Q₁₆	C₂³×C₃	1	2	yes	—
600	C₂×Q₁₆	C₂³×C₃	1	2	yes	—
601	C₂×Q₁₆	C₂³×C₃	1	2	yes	—
602	C₂×SD₁₆	—	4	2	no	—
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×SD₁₆	C₂³×C₃	1	2	yes	—
607	C₂×SD₁₆	C₂³×C₃	1	2	yes	—
608	C₂×SD₁₆	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	2	yes	—
612	C₂×M₁₆	C₂³×C₃	1	2	yes	—
613	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
614	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
615	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
616	C₄⋊Q₈	—	2	1	no	—
617	C₄⋊Q₈	—	2	1	no	—
618	C₄⋊Q₈	—	2	2	no	—
619	C₄⋊Q₈	—	2	2	no	—
620	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
621	C₄⋊Q₈	C₂³×C₃	1	2	yes	—
622	#127	—	2	1	no	—
623	#126	—	2	2	no	—
624	#126	—	2	2	no	—
625	#126	—	2	2	no	—
626	#124	—	2	1	no	—
627	#124	—	2	1	no	—
628	#124	—	2	1	no	—
629	#124	—	2	2	no	—
630	#124	—	2	2	no	—
631	#124	—	2	2	no	—
632	#124	—	2	2	no	—
633	#124	—	2	2	no	—
634	#124	—	2	2	no	—
635	#124	—	2	2	no	—
636	#124	C₂³×C₃	1	2	yes	—
637	#124	C₂³×C₃	1	2	yes	—
638	#123	—	2	1	no	—
639	#123	—	2	1	no	—
640	#123	—	2	1	no	—
641	#123	—	2	1	no	—
642	#123	—	2	2	no	—
643	#123	—	2	1	no	—
644	#123	—	2	2	no	—
645	#123	—	2	1	no	—
646	#123	—	2	1	no	—
647	#123	—	2	2	no	—
648	#123	C₃×D₄	1	1	yes	characteristic
649	#123	C₃×D₄	1	1	yes	characteristic
650	C₂²⋊Q₈	—	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	—	2	2	no	—
656	C₂²⋊Q₈	—	2	2	no	—
657	C₂²⋊Q₈	—	2	2	no	—
658	C₂²⋊Q₈	—	2	2	no	—
659	C₂²⋊Q₈	C₃×D₄	1	2	yes	—
660	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
661	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
662	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
663	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
664	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
665	C₂²⋊Q₈	C₂³×C₃	1	2	yes	—
666	#121	—	2	2	no	—
667	#121	—	2	2	no	—
668	#121	—	2	2	no	—
669	#121	—	2	2	no	—
670	#121	—	2	2	no	—
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	#120	—	2	1	no	—
677	#120	—	2	2	no	—
678	#120	—	2	1	no	—
679	#120	—	2	1	no	—
680	#120	—	2	2	no	—
681	#120	C₃×D₄	1	1	yes	characteristic
682	#120	C₃×D₄	1	1	yes	characteristic
683	C₄×Q₈	—	2	2	no	—
684	C₄×Q₈	—	2	2	no	—
685	C₄×Q₈	C₂³×C₃	1	2	yes	—
686	C₄×Q₈	C₂³×C₃	1	2	yes	—
687	C₄×Q₈	C₂³×C₃	1	2	yes	—
688	C₄×D₄	—	2	2	no	—
689	C₄×D₄	—	2	2	no	—
690	C₄×D₄	—	2	2	no	—
691	C₄×D₄	—	2	2	no	—
692	C₄×D₄	—	2	2	no	—
693	C₄×D₄	—	2	2	no	—
694	C₄×D₄	—	2	2	no	—
695	C₄×D₄	—	2	2	no	—
696	C₄×D₄	C₂³×C₃	1	2	yes	—
697	C₄×D₄	C₂³×C₃	1	2	yes	—
698	C₄×D₄	C₂³×C₃	1	2	yes	—
699	#117	—	2	2	no	—
700	#117	—	2	1	no	—
701	#117	—	2	1	no	—
702	#117	C₂³×C₃	1	1	yes	characteristic
703	#117	C₂³×C₃	1	2	yes	—
704	#117	C₂³×C₃	1	1	yes	characteristic
705	#117	C₂³×C₃	1	1	yes	characteristic
706	#117	C₂³×C₃	1	1	yes	characteristic
707	C₂×C₂²⋊C₄	—	2	2	no	—
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	#103	C₂³×C₃	1	2	yes	—
723	#103	C₂³×C₃	1	2	yes	—
724	#103	C₂³×C₃	1	2	yes	—
725	#103	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	#97	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	—	4	1	no	—
741	C₂³×C₃	—	4	2	no	—
742	C₂³×C₃	—	8	1	no	—
743	C₂³×C₃	—	8	2	no	—
744	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
745	C₂³×C₃	C₂²×D₄	1	2	yes	—
746	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
747	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
748	C₃×Q₈	—	2	4	no	—
749	C₃×Q₈	—	2	1	no	—
750	C₃×Q₈	—	2	1	no	—
751	C₃×Q₈	—	2	1	no	—
752	C₃×Q₈	—	2	2	no	—
753	C₃×Q₈	—	2	2	no	—
754	C₃×Q₈	—	2	2	no	—
755	C₃×Q₈	—	2	2	no	—
756	C₃×Q₈	—	2	1	no	—
757	C₃×Q₈	—	4	1	no	—
758	C₃×Q₈	—	4	4	no	—
759	C₃×Q₈	—	4	4	no	—
760	C₃×Q₈	—	4	2	no	—
761	C₃×Q₈	—	4	2	no	—
762	C₃×Q₈	—	4	2	no	—
763	C₃×Q₈	—	8	2	no	—
764	C₃×Q₈	—	8	1	no	—
765	C₃×Q₈	H(5,𝔽₂)	1	2	yes	—
766	C₃×Q₈	H(5,𝔽₂)	1	2	yes	—
767	C₃×D₄	—	2	1	no	—
768	C₃×D₄	—	2	2	no	—
769	C₃×D₄	—	2	2	no	—
770	C₃×D₄	—	2	1	no	—
771	C₃×D₄	—	4	2	no	—
772	C₃×D₄	—	4	2	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	4	no	—
779	C₃×D₄	—	4	2	no	—
780	C₃×D₄	—	8	1	no	—
781	C₃×D₄	—	8	2	no	—
782	C₃×D₄	—	8	2	no	—
783	C₃×D₄	—	8	2	no	—
784	C₃×D₄	—	8	2	no	—
785	C₂×C₃×C₄	—	2	4	no	—
786	C₂×C₃×C₄	—	2	1	no	—
787	C₂×C₃×C₄	—	2	1	no	—
788	C₂×C₃×C₄	—	2	1	no	—
789	C₂×C₃×C₄	—	2	1	no	—
790	C₂×C₃×C₄	—	2	2	no	—
791	C₂×C₃×C₄	—	2	2	no	—
792	C₂×C₃×C₄	—	2	1	no	—
793	C₂×C₃×C₄	—	2	1	no	—
794	C₂×C₃×C₄	—	2	1	no	—
795	C₂×C₃×C₄	—	2	1	no	—
796	C₂×C₃×C₄	—	2	2	no	—
797	C₂×C₃×C₄	—	2	2	no	—
798	C₂×C₃×C₄	—	2	2	no	—
799	C₂×C₃×C₄	—	2	2	no	—
800	C₂×C₃×C₄	—	2	2	no	—
801	C₂×C₃×C₄	—	2	1	no	—
802	C₂×C₃×C₄	—	4	2	no	—
803	C₂×C₃×C₄	—	4	1	no	—
804	C₂×C₃×C₄	—	4	2	no	—
805	C₂×C₃×C₄	—	4	2	no	—
806	C₂×C₃×C₄	—	4	4	no	—
807	C₂×C₃×C₄	—	4	4	no	—
808	C₂×C₃×C₄	—	4	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	—	8	2	no	—
813	C₂×C₃×C₄	—	8	2	no	—
814	C₂×C₃×C₄	—	8	1	no	—
815	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
816	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
817	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
818	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
819	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
820	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
821	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
822	C₃×C₈	—	2	2	no	—
823	C₃×C₈	—	2	2	no	—
824	C₃×C₈	—	2	2	no	—
825	C₃×C₈	—	2	2	no	—
826	C₂⁴	—	2	1	no	—
827	C₂⁴	C₂×C₃×D₄	1	1	yes	characteristic
828	#41	—	2	2	no	—
829	#41	—	2	2	no	—
830	#41	—	4	1	no	—
831	#41	—	4	1	no	—
832	#41	—	4	1	no	—
833	#41	—	4	1	no	—
834	#41	—	4	1	no	—
835	#41	—	4	1	no	—
836	#41	—	4	4	no	—
837	#41	—	4	4	no	—
838	#41	—	4	2	no	—
839	#41	—	4	2	no	—
840	#41	—	4	4	no	—
841	C₂×Q₈	—	2	2	no	—
842	C₂×Q₈	—	2	2	no	—
843	C₂×Q₈	—	2	1	no	—
844	C₂×Q₈	—	2	2	no	—
845	C₂×Q₈	—	2	2	no	—
846	C₂×Q₈	—	2	1	no	—
847	C₂×Q₈	—	2	1	no	—
848	C₂×Q₈	—	2	1	no	—
849	C₂×Q₈	—	2	2	no	—
850	C₂×Q₈	—	2	1	no	—
851	C₂×Q₈	—	2	2	no	—
852	C₂×Q₈	—	2	2	no	—
853	C₂×Q₈	—	2	4	no	—
854	C₂×Q₈	—	2	4	no	—
855	C₂×Q₈	—	4	2	no	—
856	C₂×Q₈	—	4	2	no	—
857	C₂×Q₈	—	4	1	no	—
858	C₂×Q₈	—	4	1	no	—
859	C₂×Q₈	—	4	1	no	—
860	C₂×Q₈	—	4	1	no	—
861	C₂×Q₈	—	4	4	no	—
862	C₂×Q₈	—	4	1	no	—
863	C₂×Q₈	—	4	1	no	—
864	C₂×Q₈	—	4	8	no	—
865	C₂×Q₈	—	4	4	no	—
866	C₂×Q₈	C₂×C₃×D₄	1	1	yes	characteristic
867	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
868	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
869	C₂×Q₈	C₂⁴×C₃	1	2	yes	—
870	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
871	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
872	C₂×D₄	—	2	2	no	—
873	C₂×D₄	—	2	1	no	—
874	C₂×D₄	—	2	1	no	—
875	C₂×D₄	—	2	1	no	—
876	C₂×D₄	—	2	2	no	—
877	C₂×D₄	—	2	2	no	—
878	C₂×D₄	—	2	2	no	—
879	C₂×D₄	—	2	2	no	—
880	C₂×D₄	—	2	1	no	—
881	C₂×D₄	—	4	1	no	—
882	C₂×D₄	—	4	1	no	—
883	C₂×D₄	C₂×C₃×D₄	1	2	yes	—
884	C₂×D₄	C₂×C₃×D₄	1	2	yes	—
885	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
886	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
887	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
888	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
889	C₂×D₄	C₂⁴×C₃	1	2	yes	—
890	C₂²×C₄	—	2	1	no	—
891	C₂²×C₄	—	2	2	no	—
892	C₂²×C₄	—	2	2	no	—
893	C₂²×C₄	—	2	1	no	—
894	C₂²×C₄	—	2	1	no	—
895	C₂²×C₄	—	2	1	no	—
896	C₂²×C₄	—	2	1	no	—
897	C₂²×C₄	—	2	1	no	—
898	C₂²×C₄	—	2	1	no	—
899	C₂²×C₄	—	2	1	no	—
900	C₂²×C₄	—	2	2	no	—
901	C₂²×C₄	—	2	2	no	—
902	C₂²×C₄	—	4	1	no	—
903	C₂²×C₄	—	4	1	no	—
904	C₂²×C₄	—	4	4	no	—
905	C₂²×C₄	C₂×C₃×D₄	1	2	yes	—
906	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
907	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
908	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
909	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
910	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
911	Q₁₆	—	2	4	no	—
912	Q₁₆	—	2	4	no	—
913	Q₁₆	—	4	2	no	—
914	Q₁₆	—	4	2	no	—
915	Q₁₆	—	4	2	no	—
916	SD₁₆	—	2	4	no	—
917	SD₁₆	—	2	4	no	—
918	SD₁₆	—	4	2	no	—
919	SD₁₆	—	4	2	no	—
920	SD₁₆	—	4	2	no	—
921	SD₁₆	—	4	2	no	—
922	D₈	—	4	2	no	—
923	M₁₆	—	4	1	no	—
924	M₁₆	—	4	2	no	—
925	M₁₆	—	4	2	no	—
926	M₁₆	—	4	1	no	—
927	C₂×C₈	—	4	1	no	—
928	C₂×C₈	—	4	1	no	—
929	C₂×C₈	C₂⁴×C₃	1	2	yes	—
930	C₂×C₈	C₂⁴×C₃	1	2	yes	—
931	C₂×C₈	C₂⁴×C₃	1	2	yes	—
932	C₂×C₈	C₂⁴×C₃	1	2	yes	—
933	C₄⋊C₄	—	2	2	no	—
934	C₄⋊C₄	—	2	2	no	—
935	C₄⋊C₄	—	2	2	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	2	no	—
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	C₂×C₃×D₄	1	2	yes	—
946	C₄⋊C₄	C₂×C₃×D₄	1	2	yes	—
947	C₄⋊C₄	C₂×C₃×D₄	1	2	yes	—
948	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
949	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
950	C₄⋊C₄	C₂⁴×C₃	1	2	yes	—
951	C₂²⋊C₄	—	2	2	no	—
952	C₂²⋊C₄	—	2	1	no	—
953	C₂²⋊C₄	—	2	1	no	—
954	C₂²⋊C₄	—	2	2	no	—
955	C₂²⋊C₄	—	2	1	no	—
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	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	2	no	—
968	C₂²⋊C₄	—	2	2	no	—
969	C₂²⋊C₄	—	2	2	no	—
970	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
971	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
972	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
973	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
974	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
975	C₂²⋊C₄	C₂×C₃×D₄	1	2	yes	—
976	C₄²	—	2	1	no	—
977	C₄²	—	2	2	no	—
978	C₄²	—	2	2	no	—
979	C₄²	—	2	2	no	—
980	C₄²	—	2	1	no	—
981	C₄²	—	2	1	no	—
982	C₄²	—	2	2	no	—
983	C₄²	C₂⁴×C₃	1	2	yes	—
984	C₂²×C₃	—	2	2	no	—
985	C₂²×C₃	—	2	2	no	—
986	C₂²×C₃	—	2	2	no	—
987	C₂²×C₃	—	2	2	no	—
988	C₂²×C₃	—	2	2	no	—
989	C₂²×C₃	—	2	1	no	—
990	C₂²×C₃	—	2	2	no	—
991	C₂²×C₃	—	2	1	no	—
992	C₂²×C₃	—	2	1	no	—
993	C₂²×C₃	—	4	4	no	—
994	C₂²×C₃	—	4	2	no	—
995	C₂²×C₃	—	4	2	no	—
996	C₂²×C₃	—	4	2	no	—
997	C₂²×C₃	—	4	1	no	—
998	C₂²×C₃	—	4	2	no	—
999	C₂²×C₃	—	16	2	no	—
1000	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1001	C₃×C₄	—	2	2	no	—
1002	C₃×C₄	—	2	2	no	—
1003	C₃×C₄	—	2	2	no	—
1004	C₃×C₄	—	2	2	no	—
1005	C₃×C₄	—	2	1	no	—
1006	C₃×C₄	—	2	2	no	—
1007	C₃×C₄	—	2	1	no	—
1008	C₃×C₄	—	2	1	no	—
1009	C₃×C₄	—	4	2	no	—
1010	C₃×C₄	—	4	2	no	—
1011	C₃×C₄	—	4	2	no	—
1012	C₃×C₄	—	4	1	no	—
1013	C₃×C₄	—	4	2	no	—
1014	C₃×C₄	—	4	2	no	—
1015	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1016	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1017	C₂³	—	2	1	no	—
1018	C₂³	—	2	2	no	—
1019	C₂³	—	4	1	no	—
1020	C₂³	—	4	2	no	—
1021	C₂³	—	8	1	no	—
1022	C₂³	—	8	2	no	—
1023	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1024	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1025	C₂³	C₂²×C₃×D₄	1	2	yes	—
1026	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1027	Q₈	—	2	4	no	—
1028	Q₈	—	2	1	no	—
1029	Q₈	—	2	1	no	—
1030	Q₈	—	2	1	no	—
1031	Q₈	—	2	2	no	—
1032	Q₈	—	2	2	no	—
1033	Q₈	—	2	2	no	—
1034	Q₈	—	2	2	no	—
1035	Q₈	—	2	1	no	—
1036	Q₈	—	4	1	no	—
1037	Q₈	—	4	4	no	—
1038	Q₈	—	4	4	no	—
1039	Q₈	—	4	2	no	—
1040	Q₈	—	4	2	no	—
1041	Q₈	—	4	2	no	—
1042	Q₈	—	8	1	no	—
1043	Q₈	—	8	2	no	—
1044	Q₈	C₃×H(5,𝔽₂)	1	2	yes	—
1045	Q₈	C₃×H(5,𝔽₂)	1	2	yes	—
1046	D₄	—	2	1	no	—
1047	D₄	—	2	2	no	—
1048	D₄	—	2	2	no	—
1049	D₄	—	2	1	no	—
1050	D₄	—	4	1	no	—
1051	D₄	—	4	1	no	—
1052	D₄	—	4	1	no	—
1053	D₄	—	4	2	no	—
1054	D₄	—	4	2	no	—
1055	D₄	—	4	2	no	—
1056	D₄	—	4	2	no	—
1057	D₄	—	4	2	no	—
1058	D₄	—	4	4	no	—
1059	D₄	—	8	1	no	—
1060	D₄	—	8	2	no	—
1061	D₄	—	8	2	no	—
1062	D₄	—	8	2	no	—
1063	D₄	—	8	2	no	—
1064	C₂×C₄	—	2	4	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	2	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	2	2	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	4	2	no	—
1082	C₂×C₄	—	4	1	no	—
1083	C₂×C₄	—	4	2	no	—
1084	C₂×C₄	—	4	2	no	—
1085	C₂×C₄	—	4	4	no	—
1086	C₂×C₄	—	4	4	no	—
1087	C₂×C₄	—	4	2	no	—
1088	C₂×C₄	—	4	2	no	—
1089	C₂×C₄	—	4	2	no	—
1090	C₂×C₄	—	4	2	no	—
1091	C₂×C₄	—	8	2	no	—
1092	C₂×C₄	—	8	2	no	—
1093	C₂×C₄	—	8	1	no	—
1094	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1095	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1096	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
1097	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1098	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1099	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1100	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1101	C₈	—	2	2	no	—
1102	C₈	—	2	2	no	—
1103	C₈	—	2	2	no	—
1104	C₈	—	2	2	no	—
1105	C₂×C₃	—	4	1	no	—
1106	C₂×C₃	—	4	2	no	—
1107	C₂×C₃	—	4	1	no	—
1108	C₂×C₃	—	4	1	no	—
1109	C₂×C₃	—	8	1	no	—
1110	C₂×C₃	—	8	2	no	—
1111	C₂×C₃	#3484	1	1	yes	characteristic
1112	C₂×C₃	#3586	1	2	yes	—
1113	C₂²	—	2	1	no	—
1114	C₂²	—	2	2	no	—
1115	C₂²	—	2	1	no	—
1116	C₂²	—	2	1	no	—
1117	C₂²	—	2	2	no	—
1118	C₂²	—	2	2	no	—
1119	C₂²	—	2	2	no	—
1120	C₂²	—	2	2	no	—
1121	C₂²	—	2	2	no	—
1122	C₂²	—	4	4	no	—
1123	C₂²	—	4	1	no	—
1124	C₂²	—	4	2	no	—
1125	C₂²	—	4	2	no	—
1126	C₂²	—	4	2	no	—
1127	C₂²	—	4	2	no	—
1128	C₂²	—	16	2	no	—
1129	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1130	C₄	—	2	2	no	—
1131	C₄	—	2	2	no	—
1132	C₄	—	2	1	no	—
1133	C₄	—	2	2	no	—
1134	C₄	—	2	1	no	—
1135	C₄	—	2	1	no	—
1136	C₄	—	2	2	no	—
1137	C₄	—	2	2	no	—
1138	C₄	—	4	1	no	—
1139	C₄	—	4	2	no	—
1140	C₄	—	4	2	no	—
1141	C₄	—	4	2	no	—
1142	C₄	—	4	2	no	—
1143	C₄	—	4	2	no	—
1144	C₄	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1145	C₄	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1146	C₃	#61646	1	1	yes	characteristic, direct product factor, Sylow
1147	C₂	—	4	1	no	—
1148	C₂	—	4	2	no	—
1149	C₂	—	4	1	no	—
1150	C₂	—	4	1	no	—
1151	C₂	—	8	2	no	—
1152	C₂	—	8	1	no	—
1153	C₂	C₃×#3484	1	1	yes	characteristic
1154	C₂	C₃×#3586	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×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃×#3540	C₂	semidirect
2. C₃×#3486	C₂	semidirect
3. C₃×#3329	C₂	semidirect
4. C₃×#3328	C₂	semidirect
5. C₃×#3321	C₂	semidirect
6. C₃×#3313	C₂	semidirect
7. C₃×#3277	C₂	semidirect
8. C₃×#3275	C₂	semidirect
9. C₃×#3270	C₂	semidirect
10. C₃×#3266	C₂	semidirect
11. C₃×#3225	C₂	semidirect
12. C₃×#3202	C₂	semidirect
13. C₃×#3200	C₂	semidirect
14. C₃×#3197	C₂	semidirect
15. C₃×#3121	C₂	semidirect
16. C₃×#3011	C₂	semidirect
17. C₃×#3010	C₂	semidirect
18. C₃×#3004	C₂	semidirect
19. C₃×#2978	C₂	semidirect
20. #61646	C₃	direct (N × H)
22. C₂³×C₃×Q₈	C₂²	semidirect
25. C₂×C₃×#137	C₂²	semidirect
26. C₂×C₃×AGL(1,ℤ/8)	C₂²	semidirect
27. C₂²×C₃×Q₁₆	C₂²	semidirect
28. C₂²×C₃×SD₁₆	C₂²	semidirect
37. C₃×D₄×Q₈	C₂²	semidirect
41. C₃×#548	C₂²	semidirect
50. C₃×#536	C₂²	semidirect
56. C₃×#525	C₂²	semidirect
57. C₃×#519	C₂²	semidirect
58. C₃×#497	C₂²	semidirect
59. C₃×#495	C₂²	semidirect
60. C₃×#489	C₂²	semidirect
61. C₃×#487	C₂²	semidirect
62. C₃×#485	C₂²	semidirect
63. C₃×#485	C₂²	semidirect
64. C₃×#485	C₂²	semidirect
65. C₃×#485	C₂²	semidirect
67. C₃×#482	C₂²	semidirect
68. C₃×#477	C₂²	semidirect
69. C₃×#475	C₂²	semidirect
70. C₃×#470	C₂²	semidirect
71. C₃×#470	C₂²	semidirect
74. C₃×#468	C₂²	semidirect
75. C₃×#468	C₂²	semidirect
76. C₃×#467	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×#462	C₂²	semidirect
83. C₃×#461	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
90. C₃×#451	C₂²	semidirect
91. C₃×#451	C₂²	semidirect
92. C₃×#451	C₂²	semidirect
93. C₃×#450	C₂²	semidirect
96. C₃×#449	C₂²	semidirect
101. C₃×#448	C₂²	semidirect
102. C₃×#441	C₂²	semidirect
103. C₃×#440	C₂²	semidirect
104. C₃×C₄×Q₁₆	C₂²	semidirect
105. C₃×C₄×SD₁₆	C₂²	semidirect
107. C₃×#436	C₂²	semidirect
109. C₃×#435	C₂²	semidirect
110. C₃×#433	C₂²	semidirect
111. C₃×#419	C₂²	semidirect
112. C₃×#419	C₂²	semidirect
113. C₃×#419	C₂²	semidirect
114. C₃×#419	C₂²	semidirect
115. C₃×#416	C₂²	semidirect
116. C₃×#416	C₂²	semidirect
119. C₃×#407	C₂²	semidirect
120. #3540	C₂×C₃	semidirect
121. #3486	C₂×C₃	semidirect
122. #3329	C₂×C₃	semidirect
123. #3328	C₂×C₃	semidirect
124. #3321	C₂×C₃	semidirect
125. #3313	C₂×C₃	semidirect
126. #3277	C₂×C₃	semidirect
127. #3275	C₂×C₃	semidirect
128. #3270	C₂×C₃	semidirect
129. #3266	C₂×C₃	semidirect
130. #3225	C₂×C₃	semidirect
131. #3202	C₂×C₃	semidirect
132. #3200	C₂×C₃	semidirect
133. #3197	C₂×C₃	semidirect
134. #3121	C₂×C₃	semidirect
135. #3011	C₂×C₃	semidirect
136. #3010	C₂×C₃	semidirect
137. #3004	C₂×C₃	semidirect
138. #2978	C₂×C₃	semidirect
311. C₂³×Q₈	C₂²×C₃	semidirect
314. C₂×#137	C₂²×C₃	semidirect
315. C₂×AGL(1,ℤ/8)	C₂²×C₃	semidirect
316. C₂²×Q₁₆	C₂²×C₃	semidirect
317. C₂²×SD₁₆	C₂²×C₃	semidirect
326. D₄×Q₈	C₂²×C₃	semidirect
330. #548	C₂²×C₃	semidirect
339. #536	C₂²×C₃	semidirect
345. #525	C₂²×C₃	semidirect
346. #519	C₂²×C₃	semidirect
347. #497	C₂²×C₃	semidirect
348. #495	C₂²×C₃	semidirect
349. #489	C₂²×C₃	semidirect
350. #487	C₂²×C₃	semidirect
351. #485	C₂²×C₃	semidirect
352. #485	C₂²×C₃	semidirect
353. #485	C₂²×C₃	semidirect
354. #485	C₂²×C₃	semidirect
356. #482	C₂²×C₃	semidirect
357. #477	C₂²×C₃	semidirect
358. #475	C₂²×C₃	semidirect
359. #470	C₂²×C₃	semidirect
360. #470	C₂²×C₃	semidirect
363. #468	C₂²×C₃	semidirect
364. #468	C₂²×C₃	semidirect
365. #467	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. #462	C₂²×C₃	semidirect
372. #461	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
379. #451	C₂²×C₃	semidirect
380. #451	C₂²×C₃	semidirect
381. #451	C₂²×C₃	semidirect
382. #450	C₂²×C₃	semidirect
385. #449	C₂²×C₃	semidirect
390. #448	C₂²×C₃	semidirect
391. #441	C₂²×C₃	semidirect
392. #440	C₂²×C₃	semidirect
393. C₄×Q₁₆	C₂²×C₃	semidirect
394. C₄×SD₁₆	C₂²×C₃	semidirect
396. #436	C₂²×C₃	semidirect
398. #435	C₂²×C₃	semidirect
399. #433	C₂²×C₃	semidirect
400. #419	C₂²×C₃	semidirect
401. #419	C₂²×C₃	semidirect
402. #419	C₂²×C₃	semidirect
403. #419	C₂²×C₃	semidirect
404. #416	C₂²×C₃	semidirect
405. #416	C₂²×C₃	semidirect
408. #407	C₂²×C₃	semidirect
1146. C₃	#61646	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×#3540	2
C₃×#3486	2
C₃×#3329	2
C₃×#3328	2
C₃×#3321	2
C₃×#3313	2
C₃×#3277	2
C₃×#3275	2
C₃×#3270	2
C₃×#3266	2
C₃×#3225	2
C₃×#3202	2
C₃×#3200	2
C₃×#3197	2
C₃×#3121	2
C₃×#3011	2
C₃×#3010	2
C₃×#3004	2
C₃×#2978	2
#61646	3

Subgroups — C3×#61646 #10680253

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#61646 #10680253